% Bold symbols
\usepackage{bold-extra}
\usepackage{bm}

% Parskip to have paragraphs with the right spacing and keep indentation
\edef\restoreparindent{\parindent=\the\parindent\relax}
\usepackage{parskip}
\restoreparindent


% ROBOTO!
\usepackage[sfdefault]{roboto}

% Italian language support
\usepackage[T1]{fontenc}
\usepackage[italian]{babel} % Italian support
\usepackage[utf8]{inputenc} % Accented letters

% Misc
%\usepackage[medium]{titlesec} % Smaller section's font
\usepackage{indentfirst}
\usepackage{textcomp} % To have \textcelsius and other symbols

% To have better rules in tables
\usepackage{bookmark}
\usepackage{multirow}

% To fix margins that overflow
%\usepackage{marginfix}

%\usepackage[all]{hypcap} % To fix caption loading of hyperref

\usepackage{hyperref}

% Mathematsics and Physics
\usepackage{amsmath,amsfonts,amssymb,mathtools,mathrsfs}
\usepackage{physics}

% Theorems
\usepackage[framed,amsthm,hyperref,thmmarks,amsmath]{ntheorem}
\usepackage{framed,mdframed}

% After hyperref and amsmath
\usepackage[capitalize,noabbrev,nameinlink,italian]{cleveref}

\usepackage{cancel}

\usepackage{booktabs,xtab,tabulary}


%%%% MAIN COLORS %%%%%
\definecolor{theorem1}{HTML}{ff8f00}
\definecolor{theorem2}{HTML}{ffca28}

\definecolor{def1}{HTML}{2e7d32}
\definecolor{def2}{HTML}{66bb6a}

\definecolor{ex1}{HTML}{1565c0}
\definecolor{ex2}{HTML}{42a5f5}
%%%%%%%


%%%% Sections styles %%%%%
\usepackage{titlesec,titletoc}

\setcounter{secnumdepth}{2}

% chapter format
\titleformat{\chapter}%
{\huge\rmfamily\itshape\color{def1}}% format applied to label+text
{\llap{\colorbox{def1}{\parbox{1.5cm}{\hfill\itshape\huge\color{white}\thechapter}}}}% label
{2pt}% horizontal separation between label and title body
{}% before the title body
%{\titlerule*[0.7em]{.}\rmfamily\upshape\thechapter} % filler + page (leaders and page num)
[]% after the title body

% section format
\titleformat{\section}%
{\normalfont\Large\itshape\color{theorem1}}% format applied to label+text
{\llap{\colorbox{theorem1}{\parbox{1.5cm}{\hfill\color{white}\thesection}}}}% label
{1em}% horizontal separation between label and title body
{}% beforethe title body
[]% after the title body

% subsectionformat
\titleformat{\subsection}%
{\normalfont\large\itshape\color{ex1}}% format applied to label+text
{\llap{\colorbox{ex1}{\parbox{1.5cm}{\hfill\color{white}\thesubsection}}}}% label
{1em}% horizontal separation between label and title body
{}% beforethe title body
[]% after the title body

%%%% TOC CHANGES %%%%
\titlecontents{chapter}%
[-4em] % distance from left margin
{\fontsize{15}{25}\itshape\bfseries} % above (global formatting of entry)
{\hspace*{2em}\textcolor{def1}{\contentslabel{2em}}} % before w/label (label = ``2.6'')
{\hspace*{2em}} % before w/o label
{\titlerule*[0.7em]{.}\rmfamily\upshape\contentspage} % filler + page (leaders and page num)
[] % after

\titlecontents{section}%
[0em] % distance from left margin
{\fontsize{11}{15}\itshape} % above (global formatting of entry)
{\hspace*{2em}\textcolor{theorem1}{\contentslabel{2em}}} % before w/label (label = ``2.6'')
{\hspace*{2em}} % before w/o label
{\titlerule*[0.7em]{.}\rmfamily\upshape\contentspage} % filler + page (leaders and page num)
[] % after


%%%% TIKZ %%%%

\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.14}
\usepgfplotslibrary{%
  fillbetween,
  external,
  polar
}
\tikzsetexternalprefix{tikz_figures/}
%\tikzexternalize
\usetikzlibrary{%
  arrows,
  decorations,
  decorations.pathmorphing,
  decorations.markings,
  calc,
  intersections,
  matrix,
  spy,
  shapes.geometric,
  shapes.misc,
  patterns,
  math,
  cd,
}

\usepackage{tikz-3dplot}

% axis style, ticks, etc
\pgfplotsset{every axis/.append style={%
    %axis lines=middle,     % put the axis in the middle
    %axis line style={->},  % arrows on the axis
    xlabel={$x$},          % default put x on x-axis
    ylabel={$y$},          % default put y on y-axis
    zlabel={$z$},          % default put z on z-axis
    %axis equal,            % 1:1 ratio
    %grid=both,             % coordinate grid
    %grid style={line width=.1pt, draw=gray!10},
    %major grid style={line width=.2pt,draw=gray!50},
    ticks=both,            % ticks for integers
    minor tick num=5,      % number of subticks
    %ticklabel style={font=\small,fill=white},
    %xlabel style={at={(ticklabel* cs:1)},anchor=north west},
    %ylabel style={at={(ticklabel* cs:1)},anchor=south west},
    %zlabel style={at={(ticklabel* cs:1)},anchor= west},
  }
}

\pgfplotsset{2dstyle/.style={
    axis lines=middle,     % put the axis in the middle
    axis line style={->},  % arrows on the axis
    xlabel={$x$},          % default put x on x-axis
    ylabel={$y$},          % default put y on y-axis
    zlabel={$z$},          % default put z on z-axis
    axis equal,            % 1:1 ratio
    grid=both,             % coordinate grid
    grid style={line width=.1pt, draw=gray!10},
    major grid style={line width=.2pt,draw=gray!50},
    ticks=both,            % ticks for integers
    minor tick num=5,      % number of subticks
    ticklabel style={font=\small,fill=white},
    label style={at={(ticklabel* cs:1)},anchor=north west},
    ylabel style={at={(ticklabel* cs:1)},anchor=south west},
    zlabel style={at={(ticklabel* cs:1)},anchor= west},
  }
}

\tikzset{>=stealth}

%% New tikzcd environment so that it can be used inside a picture %%

\usepackage{environ}
% activate the following such that you can check the macro expansion in
% *-figure0.md5 manually
%\tikzset{external/up to date check=diff}

\def\temp{&} \catcode`&=\active \let&=\temp
\newcommand{\mytikzcdcontext}[2]{
  \begin{tikzpicture}[baseline=(maintikzcdnode.base)]
    \node (maintikzcdnode) [inner sep=0, outer sep=0] {\begin{tikzcd}[#2]
        #1
    \end{tikzcd}};
  \end{tikzpicture}}
\NewEnviron{tikz-cd}[1][]{%
% In the following, we need \BODY to expanded before \mytikzcdcontext
% such that the md5 function gets the tikzcd content with \BODY expanded.
% Howerver, expand it only once, because the \tikz-macros aren't
% defined at this point yet. The same thing holds for the arguments to
% the tikzcd-environment.
\def\myargs{#1}%
\edef\mydiagram{\noexpand\mytikzcdcontext{\expandonce\BODY}{\expandonce\myargs}}%
\mydiagram%
}

\tikzset{%
  double line with arrow/.style args={#1,#2}{%
    decorate,decoration={%
      markings,
      mark=at position 0 with {%
        \coordinate (ta-base-1) at (0,1pt);
        \coordinate (ta-base-2) at (0,-1pt);
      },%
      mark=at position 1 with {%
        \draw[#1] (ta-base-1) -- (0,1pt);
        \draw[#2] (ta-base-2) -- (0,-1pt);
      }
    }
  },
  Equal/.style={-,double line with arrow={-,-}}
}

%%%% GENERAL COMMANDS %%%%

% Disjoint union
\newcommand{\cupdot}{\charfusion[\mathbin]{\cup}{\cdot}}
\newcommand{\bigcupdot}{\charfusion[\mathop]{\bigcup}{\cdot}}
% A rotated \in
\newcommand{\vin}{\mathbin{\text{\rotatebox[origin=c]{90}{$\in$}}}}
% Complex conjugate
\newcommand{\conj}[1]{\overline{#1}}
% cos # + i sin #1
%\newcommand{\cis}[1]{\cos\left(#1\right)+i\sin\left(#1\right)}
\makeatletter
\def\cis{\@ifnextchar[{\@withcis}{\@withoutcis}}
\def\@withcis[#1]#2{%
  \cos\left(#2\right)-i\sin\left(#2\right)
}
\def\@withoutcis#1{%
  \cos\left(#1\right)+i\sin\left(#1\right)
}
\makeatother

% Equivalence classes
\newcommand{\class}[1]{\left[#1\right]}
% Such that both in and outside sets
\newcommand{\Setsuchthat}{\;\ifnum\currentgrouptype=16 \middle\fi|\;}
\newcommand{\suchthat}{\,:}
% New command for nested fractions
\everymath{\displaystyle}
\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
% Definition equivalnce
\newcommand{\bydef}{\overset{\text{def}}{=}}
% Successions
\newcommand{\suc}[2]{{\{#1\}}_{#2}}
% Replace the empty set symbol
\let\oldemptyset\emptyset
\let\emptyset\varnothing
% Negation of the implication
\newcommand{\notimplies}{%
\mathrel{{\ooalign{\hidewidth$\not\phantom{=}$\hidewidth\cr$\implies$}}}}
% Change vector appearance
\renewcommand{\vec}[1]{\mathbf{#1}}
% Directional derivative
\newcommand{\ddv}[3][]{\ensuremath{\mathrm{D}^{#1}_{#2}#3}}
% Linear combination
\newcommand{\lin}[1]{\ensuremath{\mathscr{L}\!\left(#1\right)}}
% Scalar product
\newcommand{\scalar}[2]{\ensuremath{\left\langle #1,\,#2 \right\rangle}}
% Matrix transpose
\newcommand{\transp}{^\intercal}
% GL/SL/O/SO/U/SU
\newcommand{\GL}[2]{\ensuremath{\mathrm{GL}\left( #1,\,#2 \right)}}
\newcommand{\SL}[2]{\ensuremath{\mathrm{SL}\left(#1,\,#2\right)}}
\newcommand{\Om}[1]{\ensuremath{\mathrm{O}\left(#1\right)}}
\newcommand{\SO}[1]{\ensuremath{\mathrm{SO}\left(#1\right)}}
\newcommand{\Um}[1]{\ensuremath{\mathrm{U}\left(#1\right)}}
\newcommand{\SU}[1]{\ensuremath{\mathrm{SU}\left(#1\right)}}
% R, C, N, Z
\newcommand\N{\ensuremath{\mathbb{N}}}
\newcommand\R{\ensuremath{\mathbb{R}}}
\newcommand\Z{\ensuremath{\mathbb{Z}}}
\renewcommand\O{\ensuremath{\emptyset}}
\newcommand\Q{\ensuremath{\mathbb{Q}}}
\renewcommand\C{\ensuremath{\mathbb{C}}}
\newcommand\K{\ensuremath{\mathbb{K}}}
% Continuous functions
\newcommand{\cont}[3][]{\ensuremath{\mathcal{C}^{#1}\!\left(#2;\,#3\right)}}
% Ball
\newcommand{\ball}[3][]{\ensuremath{\mathcal{B}_{#1}\!\left(#2,\,#3\right)}}
% Closure
\newcommand{\closure}[2][3]{{}\mkern#1mu\overline{\mkern-#1mu#2}}
% Inside
\newcommand{\inside}[1]{\ensuremath{{#1}^\circ}}
% Quotient
\newcommand{\quot}[2]{\ensuremath{\flatfrac{#1}{#2}}}
% Function restriction
\newcommand\restr[2]{{% we make the whole thing an ordinary symbol
  \left.\kern-\nulldelimiterspace % automatically resize the bar with \right
    #1 % the function
    \vphantom{\big|} % pretend it's a little taller at normal size
    \right|_{#2} % this is the delimiter
}}
% Divides
\makeatletter
\def\localbig#1#2{%
  \sbox\z@{$\m@th#1
    \sbox\tw@{$#1()$}%
    \dimen@=\ht\tw@\advance\dimen@\dp\tw@
    \nulldelimiterspace\z@\left#2\vcenter to1.2\dimen@{}\right.
  $}\box\z@}

\newcommand{\divides}{\mathrel{\mathpalette\dividesaux\relax}}
\newcommand{\ndivides}{\mathrel{\mathpalette\ndividesaux\relax}}

\newcommand{\dividesaux}[2]{\mbox{$\m@th#1\localbig{#1}|$}}
\newcommand{\ndividesaux}[2]{%
  \mkern.5mu
  \ooalign{%
    \hidewidth$\m@th#1\localbig{#1}|$\hidewidth\cr
    $\m@th#1\nmid$\cr%
  }%
}
\makeatother
%%%% END GENERAL COMMANDS %%%%

%%%% MATH OPERATORS %%%%

% Set image
\DeclareMathOperator{\im}{im}
% Identity function
\DeclareMathOperator{\id}{id}
% lcm
\DeclareMathOperator{\mcm}{mcm}
% Complex argument
\DeclareMathOperator{\Arg}{Arg}
% Sign of a function
\DeclareMathOperator{\sgn}{sgn}
% Degree of a polynomial
\DeclareMathOperator{\degr}{deg}
% Symmetric group
\DeclareMathOperator{\Sym}{Sym}
% Adjoint
\DeclareMathOperator{\adj}{adj}

\renewcommand\qedsymbol{$\blacksquare$}

% Theorems, Definitions and Examples

\usepackage[theorems,skins,breakable,listings]{tcolorbox}

\definecolor{theorem1}{HTML}{ff8f00}
\definecolor{theorem2}{HTML}{ffca28}

\definecolor{def1}{HTML}{2e7d32}
\definecolor{def2}{HTML}{66bb6a}

\definecolor{ex1}{HTML}{1565c0}
\definecolor{ex2}{HTML}{42a5f5}

\tcbset{
  %defstyle/.style={
  %  breakable,
  %  theorem style=break,
  %  enhanced,
  %  colframe=green!50!black,
  %  colback=OliveGreen!10!white,
  %  coltitle=OliveGreen!90!black,
  %  fonttitle=\bfseries,
  %  fontupper=\upshape,
  %  fuzzy shadow={0.5mm}{-0.5mm}{0mm}{0.1mm}{fill=green!50!black!50!white},
  %  boxrule=0.4pt
  %},
	defstyle/.style={
    breakable,
    theorem style=plain apart,
    enhanced,
    sharp corners,
    frame hidden,
    colbacktitle=def1,
    colback=def2!50!white,
    coltitle=white,
    boxrule=0pt,
    titlerule=1mm,
    titlerule style=def1!50!black,
    fonttitle=\upshape\bfseries,
    fontupper=\upshape,
    boxrule=0.4pt,
    halign=left
  },
  %exstyle/.style={
  %  breakable,
  %  theorem style=break,
  %  enhanced,
  %  colframe=blue!50!black,
  %  colback=NavyBlue!10!white,
  %  coltitle=NavyBlue,
  %  fonttitle=\upshape\bfseries,
  %  fontupper=\upshape,
  %  fuzzy shadow={0.5mm}{-0.5mm}{0mm}{0.1mm}{fill=blue!50!black!50!white},
  %  boxrule=0.4pt
  %	},
   exstyle/.style={
    breakable,
    theorem style=plain apart,
    enhanced,
    sharp corners,
    frame hidden,
    colbacktitle=ex1,
    colback=ex2!50!white,
    coltitle=white,
    boxrule=0pt,
    titlerule=1mm,
    titlerule style=ex1!50!black,
    fonttitle=\upshape\bfseries,
    fontupper=\upshape,
    boxrule=0.4pt,
    halign=left
  },
  %thmstyle/.style={
  %  breakable,
  %  theorem style=break,
  %  enhanced,
  %  colframe=red!50!black,
  %  colback=BrickRed!10!white,
  %  coltitle=BrickRed,
  %  fonttitle=\upshape\bfseries,
  %  fontupper=\itshape,
  %  fuzzy shadow={0.5mm}{-0.5mm}{0mm}{0.1mm}{fill=red!50!black!50!white},
  %  boxrule=0.4pt
  %},
	thmstyle/.style={
    breakable,
    theorem style=plain apart,
    enhanced,
    sharp corners,
    frame hidden,
    colbacktitle=theorem1,
    colback=theorem2!50!white,
    coltitle=white,
    boxrule=0pt,
    titlerule=1mm,
    titlerule style=theorem1!50!black,
    fonttitle=\upshape\bfseries,
    fontupper=\itshape,
    boxrule=0.4pt,
    halign=left
  },
  proofstyle/.style={
    breakable,
		enhanced,
    theorem style=plain,
		frame hidden,
		sharp corners,
		colback=gray!15!white,
		boxrule=0pt,
    before skip=10pt,
    after skip=10pt,
    borderline west={1mm}{0pt}{darkgray},
    fonttitle=\bfseries,
    coltitle=black,
    title=Dimostrazione,
    halign=left
  }
}

% This allows for the skins library to not be externalized by Tikz, removing problems
\tcbset{shield externalize}
\makeatletter
% add tcblistings to \jobname.lol (list of listings)
\tcbset{
  addtolol/.style={list entry={\kvtcb@title},add to list={lol}{subsection}},
  }
\makeatother

\newtcbtheorem[crefname={teorema}{teoremi},Crefname={Teorema}{Teoremi},list
inside=thm,number within=chapter]{Thm}{Teorema}{thmstyle}{thm}
\newtcbtheorem{Proof}{Dimostrazione}{proofstyle}{}
\newtcbtheorem[crefname={esempio}{esempi},Crefname={Esempio}{Esempi},list
inside=ex,number within=chapter]{Ex}{Esempio}{exstyle}{ex}
\newtcbtheorem[crefname={definizione}{definizioni},Crefname={Definizione}{Definizioni},list
inside=def,number within=chapter]{Def}{Definizione}{defstyle}{def}

\let\marginnote\someundefinedcommand
\usepackage{marginnote}
\renewcommand*{\marginfont}{\footnotesize}
\usepackage{caption}
\usepackage{float}

%%\theoremstyle{break}
%%\theoremprework{%
%%  \def\FrameCommand{
%%    {\color{BrickRed}{\hspace{-8pt}\vrule width 2pt\hspace{0.5cm}}}
%%  }
%%  \medbreak%
%%}
%\theorempostwork{\medbreak}
%\theorembodyfont{\slshape}
%%\theoremheaderfont{\kern-5mm\normalfont\bfseries}
%\theoremseparator{:}
%\theoremsymbol{\ensuremath{\diamondsuit}}
%\newtheorem{Thm}{Teorema}
%\tcolorboxenvironment{Thm}{enhanced jigsaw,colframe=BrickRed,colback=BrickRed!7,breakable,
%before skip=10pt,after skip=10pt }
%
%%\theoremstyle{break}
%%\theoremprework{%
%%  \def\FrameCommand{
%%    {\color{OliveGreen}{\hspace{-8pt}\vrule width 2pt\hspace{0.5cm}}}
%%  }
%%  \medbreak%
%%}
%%\theorempostwork{\medbreak}
%%\theorembodyfont{\rmfamily}
%%\theoremheaderfont{\kern-5mm\normalfont\bfseries}
%%\theoremseparator{.}
%%\theoremsymbol{\ensuremath{\clubsuit}}
%%\newframedtheorem{Def}{Definizione}
%
%\theoremstyle{plain}
%\theoremsymbol{\ensuremath{\clubsuit}}
%\theorembodyfont{\upshape}
%\theoremprework{\bigskip\noindent\makebox[\linewidth]{\color{OliveGreen}
%\rule{\textwidth}{1pt}}}
%\theorempostwork{\noindent\makebox[\linewidth]{\color{OliveGreen}
%\rule{\textwidth}{1pt}}\bigskip}
%\newtheorem{Def}{Definizione}
%
%\theoremstyle{change}
%\theorembodyfont{\upshape}
%\theoremsymbol{\ensuremath{\ast}}
%\theoremseparator{}
%\newtheorem{Ex}{Esempio}
%
%\theoremheaderfont{\sc}
%\theorembodyfont{\upshape}
%\theoremstyle{nonumberplain}
%\theoremseparator{}
%\theoremsymbol{\rule{1ex}{1ex}}
%\newtheorem{Proof}{Dimostrazione}



\newcommand{\monthyear}{%
  \ifcase\month\or Gennaio\or Febbraio\or Marzo\or Aprile\or Maggio\or Giugno\or
  Luglio\or Agosto\or Settembre\or Ottobre\or Novembre\or
  Dicembre\fi\space\number\year
}

% Reset counter for footnotes
\let\oldchapter\chapter
\def\chapter{%
  \setcounter{footnote}{0}%
  \oldchapter
}

% Matrix with column separators
\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
  \hskip -\arraycolsep
  \let\@ifnextchar\new@ifnextchar
  \array{#1}}
\makeatother

% Reset counter for equations
\numberwithin{equation}{section}

% For an older but clearer root. Still \oldsqrt is valid %%
\usepackage{letltxmacro}
\makeatletter
\let\oldr@@t\r@@t
\def\r@@t#1#2{%
	\setbox0=\hbox{$\oldr@@t#1{#2\,}$}\dimen0=\ht0
	\advance\dimen0-0.2\ht0
	\setbox2=\hbox{\vrule height\ht0 depth -\dimen0}%
{\box0\lower0.4pt\box2}}
\LetLtxMacro{\oldsqrt}{\sqrt}
\renewcommand*{\sqrt}[2][\ ]{\oldsqrt[#1]{#2} }
\makeatother

% To import figures generated by Inkscape
\usepackage{import}
\usepackage{xifthen}
\usepackage{pdfpages}
\usepackage{transparent}

% Note that you can use \incfig[width]{name} to specify a width for the image.
% Defaults at \marginparwidth
\makeatletter
\def\incfig{\@ifnextchar[{\@with}{\@without}}
\def\@with[#1]#2{%
  \def\svgwidth{#1}
  \import{./figures/}{#2.pdf_tex}
}
\def\@without#1{%
  \def\svgwidth{\marginparwidth}
  \import{./figures/}{#1.pdf_tex}
}
\makeatother

\setcounter{tocdepth}{1}