preamble.sty

\ProvidesPackage{preamble}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{wrapfig}
\usepackage[usenames, dvipsnames]{xcolor}
\usepackage{tikz}
\usepackage[americanresistors,americaninductors]{circuitikz}
\usepackage{ifthen}
\usepackage{amsmath}
\usepackage[top=10mm, bottom=10mm, left=25.4mm, right=25.4mm,includehead,includefoot]{geometry}
\usepackage{textcomp}
\usepackage{amssymb}
\usepackage{physics}
\usepackage{siunitx}
\usepackage{float}
\usepackage{scalerel}
\usepackage{ltxtable}
\usepackage{multicol}
\usepackage{booktabs}
\usepackage{filecontents}
\usepackage{mathtools}
\usepackage{ltxtable}
\usepackage{array}
\usepackage{fancyhdr}
\usepackage{pgfplots}
\usepackage{mhchem}
\newcommand{\defined}{\overset{\underset{\mathrm{def}}{}}{=}}
\DeclareMathOperator{\di}{d\!}
\newcommand*\Eval[3]{\left.#1\right\rvert_{#2}^{#3}}
\usepackage{amsthm}
\usepackage{stackengine}
\newcommand\momentL[1]{\stackengine{-.3ex}{#1}{\CAL}{0}{c}{F}{F}{L}}
\newcommand\CAL{\scalebox{2}{\rotatebox[origin=center]{90}{$\circlearrowleft$}}}
\newcommand\momentR[1]{\stackengine{-.3ex}{#1}{\CAR}{0}{c}{F}{F}{L}}
\newcommand\CAR{\scalebox{2}{\rotatebox[origin=center]{90}{$\circlearrowright$}}}
\stackMath
\sisetup{range-phrase=-,range-units=single}

\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\pgfplotsset{height=10cm,width=10cm,compat=1.14}
\usetikzlibrary{circuits.ee.IEC}


\tikzset{circuit declare symbol = ac current source}
\tikzset{
          ac current source IEC graphic/.style={
            circuit symbol lines,
            circuit symbol size = width 2 height 2,
            shape = generic circle IEC,
            /pgf/generic circle IEC/before background={
              \pgfpathmoveto{\pgfpoint{-0.8pt}{0pt}}
              \pgfpathsine{\pgfpoint{0.4pt}{0.4pt}}
              \pgfpathcosine{\pgfpoint{0.4pt}{-0.4pt}}
              \pgfpathsine{\pgfpoint{0.4pt}{-0.4pt}}
              \pgfpathcosine{\pgfpoint{0.4pt}{0.4pt}}
              \pgfusepath{stroke}
            },
            transform shape
          }
}

\newcommand{\R}{\mathbb{R}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\cis}{\mathrm{cis}}
\newcommand{\vi}{\vec{\imath}}
\newcommand{\vj}{\vec{\jmath}}
\newcommand{\vk}{\vec{k}}

\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}

\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
\newcolumntype{C}[1]{>{\centering\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
\newcolumntype{R}[1]{>{\raggedleft\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}

\usepackage[framed, numbered]{matlab-prettifier}
\usepackage{fancyhdr}
\usepackage{amsthm}
\usepackage[shortlabels]{enumitem}
\usepackage{pgfplotstable}
\usepackage[]{graphics}
\DeclareMathOperator{\sinc}{sinc}
\DeclareMathOperator{\cosc}{cosc}

\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\tikzset{
  % style to apply some styles to each segment of a path
  on each segment/.style={
    decorate,
    decoration={
      show path construction,
      moveto code={},
      lineto code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
      curveto code={
        \path [#1] (\tikzinputsegmentfirst)
        .. controls
        (\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)
        ..
        (\tikzinputsegmentlast);
      },
      closepath code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
    },
  },
  % style to add an arrow in the middle of a path
  mid arrow/.style={postaction={decorate,decoration={
        markings,
        mark=at position .5 with {\arrow[#1]{stealth}}
      }}},
}

\DeclareSIUnit\grates{grates}
\newcommand{\defi}{\overset{\underset{\mathrm{def}}{}}{=}}


\newcommand{\findmax}[1]{
    \pgfplotsforeachungrouped \table in {#1} {%
        \pgfplotstablevertcat{\concatenated}{\table}%
    }%
    \pgfplotstablesort[sort key={1},sort cmp={float >}]{\sorted}{\concatenated}%
    \pgfplotstablegetelem{0}{1}\of{\sorted}%
    \let\ymax=\pgfplotsretval%
}

\newcommand{\findmin}[1]{
    \pgfplotsforeachungrouped \table in {#1} {%
        \pgfplotstablevertcat{\concatenated}{\table}%
    }%
    \pgfplotstablesort[sort key={1},sort cmp={float <}]{\sorted}{\concatenated}%
    \pgfplotstablegetelem{0}{1}\of{\sorted}%
    \let\ymin=\pgfplotsretval%
}

\makeatletter \renewcommand\d[1]{\ensuremath{%
  \;\mathrm{d}#1\@ifnextchar\d{\!}{}}}
\makeatother

\colorlet{Tangent}{blue!75!black}
\usetikzlibrary{
        calc,
        intersections,
        math,
    }
    \makeatletter
        \def\parsenode[#1]#2\pgf@nil{%
            \tikzset{label node/.style={#1}}
            \def\nodetext{#2}
        }
        \tikzset{
            % define style for the points
            Point/.style={
                shape=circle,
                inner sep=0pt,
                minimum size=3pt,
            },
            add node at x/.style 2 args={
                name path global=plot line,
                /pgfplots/execute at end plot visualization/.append={
                        \begingroup
                        \@ifnextchar[{\parsenode}{\parsenode[]}#2\pgf@nil
                    \path [name path global = position line #1-1]
                        ({axis cs:#1,0}|-{rel axis cs:0,0}) --
                        ({axis cs:#1,0}|-{rel axis cs:0,1});
                    \path [xshift=1pt, name path global = position line #1-2]
                        ({axis cs:#1,0}|-{rel axis cs:0,0}) --
                        ({axis cs:#1,0}|-{rel axis cs:0,1});
                    \path [
                        name intersections={
                            of={plot line and position line #1-1},
                            name=left intersection
                        },
                        name intersections={
                            of={plot line and position line #1-2},
                            name=right intersection
                        },
                        label node/.append style={pos=1}
                    ] (left intersection-1) -- (right intersection-1)
                        node [label node]{\nodetext};
                    % ---------------------------------------------------------
                    % draw the tangent line from a bit right of the point on
                    % the curve to the intersection with the ordinate
                    % and draw the corresponding points
                    \draw [Tangent] let
                        \p1=($ (left intersection-1) - (right intersection-1) $),
                        \p2=($ (left intersection-1)!sign(#1)*5mm!(right intersection-1) $),
                        \p3=($ ({axis cs:0,0}) - (\p2) $),
                        \n1={\x3/\x1}
                    in
                        (\p2) -- +($ {\n1}*(\x1,\y1) $)
%                            node [Point,fill=Tangent] (origin intersection) {}
%                            node [Point,fill=Curve] at (left intersection-1) {}
                    ;
%                    % ----------
%                    % draw the horizontal line at the curve intersection point
%                    % plus the label above/below the line
%                    \tikzmath{
%                        coordinate \c1;
%                        \c1=(left intersection-1) - (right intersection-1);
%                        \slope=\cy1/\cx1*sign(#1);
%                    }
%                    \pgfmathsetmacro{\AboveBelow}{ \slope>0 ? "above" : "below" }
%                    \draw [dotted]
%                        ([xshift=sign(#1)*2.5mm] left intersection-1) --
%                        (left intersection-1) --
%                            node [\AboveBelow,node font=\scriptsize] {$f(x)$}
%                        (left intersection-1 -| origin intersection) --
%                        +($ sign(#1)*(-2.5mm,0) $)
%                            coordinate [pos=0.5] (a)
%                    ;
%                    % draw the horizontal line at the ordinate intersection point
%                    \draw [dotted] (origin intersection)
%                        +($ sign(#1)*(-2.5mm,0) $) --
%                        (origin intersection);
%                    % draw vertical line left/right of the ordinate
%                    \pgfmathsetmacro{\LeftRight}{ #1<0 ? "right" : "left" }
%                    \draw [stealth-stealth] (origin intersection)
%                        +($ sign(#1)*(-1.25mm,0) $) -- (a)
%                            node [midway,\LeftRight,node font=\scriptsize] {$p$}
%                    ;
%                    % ---------------------------------------------------------
                        \endgroup
                },
            },
        }
    \makeatother


\makeatletter
\pgfplotsset{
    /tikz/max node/.style={,
        anchor=south west,
    },
    /tikz/min node/.style={
        anchor=north,
        name=minimum
    },
    mark min/.style={
        point meta rel=per plot,
        visualization depends on={x \as \xvalue},
        scatter/@pre marker code/.code={%
            \ifx\pgfplotspointmeta\pgfplots@metamin
                \def\markopts{}%
                \coordinate (minimum);
                \node [min node] {
                    (\pgfmathprintnumber[fixed]{\xvalue},%
                    \pgfmathprintnumber[fixed]{\pgfplotspointmeta})
                };
            \else
                \def\markopts{mark=none}
            \fi
            \expandafter\scope\expandafter[\markopts,every node near coord/.style=green]
        },%
        scatter/@post marker code/.code={%
            \endscope
        },
        scatter,
    },
    mark max/.style={
        point meta rel=per plot,
        visualization depends on={x \as \xvalue},
        scatter/@pre marker code/.code={%
        \ifx\pgfplotspointmeta\pgfplots@metamax
            \def\markopts{}%
            \coordinate (maximum);
            \node [max node] {
                (\pgfmathprintnumber[fixed]{\xvalue},%
                \pgfmathprintnumber[fixed]{\pgfplotspointmeta})
            };
        \else
            \def\markopts{mark=none}
        \fi
            \expandafter\scope\expandafter[\markopts]
        },%
        scatter/@post marker code/.code={%
            \endscope
        },
        scatter
    }
}
\makeatother

\newenvironment{polynomial}
  {\par\vspace{\abovedisplayskip}%
   \setlength{\leftskip}{\parindent}%
   \setlength{\rightskip}{\leftskip}%
   \medmuskip=4mu plus 2mu minus 2mu
   \binoppenalty=0
   \noindent$\displaystyle}
  {$\par\vspace{\belowdisplayskip}}

\usepackage{hyperref}
\makeatletter
\newcommand\appendix@section[1]{%
  \refstepcounter{section}%
  \orig@section*{Appendix \@Alph\c@section: #1}%
  \addcontentsline{toc}{section}{Appendix \@Alph\c@section: #1}%
}
\let\orig@section\section
\g@addto@macro\appendix{\let\section\appendix@section}
\makeatother


\usepackage{array}
%\usepackage{minted}

\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\tikzset{
  % style to apply some styles to each segment of a path
  on each segment/.style={
    decorate,
    decoration={
      show path construction,
      moveto code={},
      lineto code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
      curveto code={
        \path [#1] (\tikzinputsegmentfirst)
        .. controls
        (\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)
        ..
        (\tikzinputsegmentlast);
      },
      closepath code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
    },
  },
  % style to add an arrow in the middle of a path
  mid arrow/.style={postaction={decorate,decoration={
        markings,
        mark=at position .5 with {\arrow[#1]{stealth}}
      }}},
}

\usepackage{url}
\usepackage[square,numbers]{natbib}
\bibliographystyle{abbrvnat}
\usepackage[nottoc]{tocbibind}
\usepackage{pdfpages}
\usepackage{sectsty}

\usepackage{gensymb}
\usepackage{graphicx}% Include figure files
\usepackage{dcolumn}% Align table columns on decimal point
\usepackage{bm}

\newcommand{\notetoself}[1]{\color{red}\Large{\textbf{\textit{TODO: #1}}}\normalsize\color{black}} % make temporary text inclusions big and red