%--------------------------------------
% Create title frame
\titleframe

%--------------------------------------
% Table of contents
\begin{frame}{Overview}
  \setbeamertemplate{section in toc}[sections numbered]
  \tableofcontents[hideallsubsections]
\end{frame}


%==============================================
\section{Introduction}
%==============================================

\begin{frame}{\insertsectionhead}
  \framesubtitle{A short introduction to Trigon}
  \themename is a modern, elegant and versatile theme for Beamer, inspired by
  the
  \href{https://github.com/matze/mtheme}{\textsc{metropolis} theme} from Matthias
  Vogelgesang.
  \vfill
  \themename comes with lots of nice extra features
  \begin{itemize}
    \item Multiple style variations for title, section and normal slides
    \item Simple customization of theme colors
    \item Lots of convenient options to tweak the design
  \end{itemize}
\end{frame}


%==============================================
\section{Layout}
%==============================================

\subsection{Layout variations}

\begin{frame}[fragile=singleslide]{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  The general style for the title, section and regular frames can be changed
  easily with simple options. Here are some examples for the title page
  \begin{figure}[ht!]
    \begin{subfigure}[b]{0.3\textwidth}
      \frame{\includegraphics[width=\textwidth]{screenshots/layout_example-03.jpg}}
      \caption*{plain}
    \end{subfigure}
    \hspace{\fill}
    \begin{subfigure}[b]{0.3\textwidth}
      \frame{\includegraphics[width=\textwidth]{screenshots/layout_example-02.jpg}}
      \caption*{style1}
    \end{subfigure}
    \hspace{\fill}
    \begin{subfigure}[b]{0.3\textwidth}
      \frame{\includegraphics[width=\textwidth]{screenshots/layout_example-01.jpg}}
      \caption*{style2 (default)}
    \end{subfigure}
  \end{figure}
\end{frame}

%--------------------------------------
\subsection{Fonts}

\begin{frame}
  \frametitle{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  This theme is using \textit{Source Sans Pro} font for all elements by default.
  This can be disabled by providing the option \texttt{usesourcefonts=false}.
  \vfill
  Emphasis can be added by using \textbf{bold} typeface, \textit{italic},
  \alert{alert} or {\color{tPrim}{simple colors}}.
  \vfill
  Equations are typeset with this font as well
  \begin{equation*}
    F(x|\mu,s) = \int_{-\infty}^x s^{-1}\left(1+e^{-\frac{v-\mu}{s}}\right)^{-2} e^{-\frac{v-\mu}{s}}\;\mathsf{d}v = \frac{1}{1+e^{-\frac{x-\mu}{s}}}
  \end{equation*}
\end{frame}


%==============================================
\section{Elements}
%==============================================

\subsection{Charts}

\begin{frame}{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  \begin{columns}[c, onlytextwidth]
    \column{0.47\textwidth}
    Use the theme color \texttt{tPrim}, \texttt{tSec}, \texttt{tGrey} and
    \texttt{tAccent} to have charts directly fit the main theme of presentation.
    \vfill
    \begin{itemize}
      \item Easy variants using \texttt{color!x} to lighten or darken the colors
    \end{itemize}
    \hfill
    \column{0.47\textwidth}
    \center
    \resizebox{0.9\textwidth}{!}{%
      \begin{tikzpicture}
        \pie[color={tPrim, tPrim!75, tPrim!50, tPrim!25},
        rotate=90, hide number, text= legend]
        {50/tPrim, 32/tPrim!75, 16/tPrim!50, 2/tPrim!25}
      \end{tikzpicture}
    }
  \end{columns}
\end{frame}

%--------------------------------------
\subsection{Lists}

\begin{frame}{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  \begin{columns}[T,onlytextwidth]
    \column{0.28\textwidth}
    Items
    \begin{itemize}
      \item Item 1
        \begin{itemize}
          \item Subitem 1
          \item Subitem 2
        \end{itemize}
      \item Item 2
      \item Item 3
    \end{itemize}

    \column{0.42\textwidth}
    Enumerations
    \begin{enumerate}
      \item The Fellowship of the Ring,
      \item The Two Towers,
      \item The Return of the King.
    \end{enumerate}

    \column{0.30\textwidth}
    Descriptions
    \begin{description}
      \item[Trigon] Modern. \item[Default] Outdated.
    \end{description}
  \end{columns}
\end{frame}

%--------------------------------------
\subsection{Figures}

\begin{frame}
  \frametitle{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}

  \begin{figure}
    \newcounter{density}
    \setcounter{density}{20}
    \begin{tikzpicture}
      \def\couleur{tAccent}
      \def\color{tSec}
      \path[coordinate] (0,0)  coordinate(A)
        ++( 60:5cm) coordinate(B)
        ++(-60:5cm) coordinate(C);
      \path[coordinate] (0,0)  coordinate(D)
        ++(60:5cm) coordinate(E)
        ++(180:5cm) coordinate(F);
      \draw[fill=\couleur!\thedensity] (A) -- (B) -- (C) -- cycle;
      \draw[fill=\color!\thedensity] (D) -- (E) -- (F) -- cycle;
      \foreach \x in {1,...,15}{%
        \pgfmathsetcounter{density}{\thedensity+10}
        \setcounter{density}{\thedensity}
        \path[coordinate] coordinate(X) at (A){};
        \path[coordinate] (A) -- (B) coordinate[pos=.15](A)
          -- (C) coordinate[pos=.15](B)
          -- (X) coordinate[pos=.15](C);
        \draw[fill=\couleur!\thedensity] (A)--(B)--(C)--cycle;
      }
      \setcounter{density}{20}
      \foreach \x in {1,...,15}{%
        \pgfmathsetcounter{density}{\thedensity+10}
        \setcounter{density}{\thedensity}
        \path[coordinate] coordinate(X) at (D){};
        \path[coordinate] (D) -- (E) coordinate[pos=.15](D)
          -- (F) coordinate[pos=.15](E)
          -- (X) coordinate[pos=.15](F);
        \draw[fill=\color!\thedensity] (D)--(E)--(F)--cycle;
      }
    \end{tikzpicture}
    \caption{Rotated triangles from
    \href{http://www.texample.net/tikz/examples/rotated-triangle/}{texample.net}.}
  \end{figure}
\end{frame}

%--------------------------------------
\subsection{Tables}

\begin{frame}
  \frametitle{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  \begin{table}[H]
    \centering
    \caption{A nice table example}
    \begin{tabular}{@{} lccc @{}}
      \toprule
      & \textbf{Velocity} & \textbf{Angle}  & \textbf{Vertical force} \\
      & $U$ & $\alpha$  & $F_z$ \\
      & [m/s] & [$^\circ$]  & [N] \\
      \midrule
      2D simulation  & 9 & 2 & 9.23 \\
      3D simulation  & 10.0 & 3 & 15.039 \\
      Experiment A   & 11.31 & 2.5 & 13.2 \\
      Experiment B   & 11.26 & 2.7 & 12.6 \\
      Experiment C   & 11.33 & 2.47 & 13.6 \\
      \bottomrule
    \end{tabular}
  \end{table}

\end{frame}

%--------------------------------------
\subsection{Blocks}

\begin{frame}
  \frametitle{\insertsectionhead}
  \framesubtitle{\insertsubsectionhead}
  \begin{block}{Regular block}
    Just a regular block
  \end{block}
  \begin{alertblock}{Alert block}
    Some important thing
  \end{alertblock}
  \begin{exampleblock}{Example block}
    No difference with regular block to avoid excessive distraction
  \end{exampleblock}
\end{frame}

%--------------------------------------
\subsection{Frame footer}

{
  \setbeamertemplate{frame footer}{My custom footer}
  \begin{frame}[fragile]
    \frametitle{\insertsectionhead}
    \framesubtitle{\insertsubsectionhead}
    \themename defines a custom beamer template to add a text to the footer. It can be set via
    \begin{verbatim}\setbeamertemplate{frame footer}{My custom footer}\end{verbatim}
  \end{frame}
}

\begin{frame}{References}
  Some references to showcase [allowframebreaks] \cite{knuth92,ConcreteMath,Simpson,Er01,greenwade93}
\end{frame}

%==============================================
\section{Conclusion}
%==============================================

\begin{frame}{Summary}
  Get the source of this theme and the demo presentation from

  \begin{center}
    \url{gitlab.com/thlamb/beamertheme-trigon}
  \end{center}

  As for \textsc{metropolis}, \themename is licensed under a
  \href{http://creativecommons.org/licenses/by-sa/4.0/}{Creative Commons
  Attribution-ShareAlike 4.0 International License}.

  \begin{center}\ccbysa\end{center}
\end{frame}

%==============================================
\appendix

\begin{frame}[fragile]{Backup slides}
  Sometimes, it is useful to add slides at the end of your presentation to
  refer to during audience questions.

  The best way to do this is to include the \verb|appendixnumberbeamer|
  package in your preamble and call \verb|\appendix| before your backup slides.

  \themename will automatically turn off slide numbering and progress bars for
  slides in the appendix.
\end{frame}

%--------------------------------------
\begin{frame}[allowframebreaks]{References}
  \bibliography{demo}
  \bibliographystyle{abbrv}
\end{frame}