% \iffalse meta-comment -------------------------------------------------------
% Copyright (C) 2021 Thomas Lambert <trigon@thl.ovh>
% Other contributors to this theme are listed here:
%     https://gitlab.com/thlamb/beamertheme-trigon/-/graphs/master
%
% The original template was heavily inspired by Metropolis from Matthias
% Vogelgesang.
%
% License CC-BY-SA 4.0
% This work is licensed under a Creative Commons Attribution-ShareAlike 4.0
% International License (https://creativecommons.org/licenses/by-sa/4.0/)
% ------------------------------------------------------------------------- \fi
% \iffalse
%<*package>
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{beamerinnerthemetrigon}[2022/03/10 v0.6.3 Trigon inner theme]
%</package>
% \fi
% \CheckSum{0}
% \StopEventually{}
% \iffalse
%<*package>
% ------------------------------------------------------------------------- \fi
%
% \subsection{\themename inner theme}
%
% A |beamer| inner theme dictates the style of the frame elements traditionally
% set in the ``body'' of each slide. These include:
%
% \begin{itemize}
%   \item title, part, and section pages;
%   \item main background elements;
%   \item itemize, enumerate, and description environments;
%   \item block environments including theorems and proofs;
%   \item figures and tables; and
%   \item footnotes and plain text.
% \end{itemize}
%
% \subsubsection{Package dependencies}
%
%    \begin{macrocode}
\RequirePackage{pgfopts}
\RequirePackage{tikz}
\usetikzlibrary{calc,3d}
%    \end{macrocode}
%
% \subsubsection{Definitions}
%
% We define the command |\biglogo| to specify the logo that needs to be
% displayed on the title frame. This command is just a replacement for
% |\includegraphics|, so it accepts the same options.
%    \begin{macrocode}
\def\logbig{}
\newcommand\biglogo[2][width=0.28\textwidth]{
  \ifx#2\@empty\else
    \def\logbig{\includegraphics[#1]{#2}}
  \fi
}
%    \end{macrocode}
%
% \subsubsection{Options}
%
% \begin{macro}{sectionpage}
% Controls whereas a slide with the section title should be inserted at the
% beginning of the section or not.
%    \begin{macrocode}
\pgfkeys{
  /trigon/inner/sectionpage/.cd,
  .is choice,
  none/.code=\trigon@disablesectionpage,
  simple/.code=\trigon@enablesectionpage
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{slidestyle}
% Controls the layout that should be used for regular slides.
%    \begin{macrocode}
\def\slidestyle{}
\pgfkeys{
  /trigon/inner/slidestyle/.cd,
  .is choice,
  blank/.code=\def\slidestyle{blank}
  \setbeamertemplate{background}[\slidestyle],
  style1/.code=\def\slidestyle{smallcornertriangle}
  \setbeamertemplate{background}[\slidestyle],
  cyber/.code=\def\slidestyle{cyberbottom}
  \setbeamertemplate{background}[\slidestyle]
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{titlestyle}
% Controls the layout that should be used for the title page.
%    \begin{macrocode}
\def\titlestyle{}
\pgfkeys{
  /trigon/inner/titlestyle/.cd,
  .is choice,
  plain/.code=\def\titlestyle{bottomtrianglescolor},
  style1/.code=\def\titlestyle{titlesmallimage},
  style2/.code=\def\titlestyle{titlebigimage}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{sectionstyle}
% Controls the layout that should be used for the title page.
%    \begin{macrocode}
\def\sectionstyle{}
\pgfkeys{
  /trigon/inner/sectionstyle/.cd,
  .is choice,
  plain/.code=\def\sectionstyle{bottomtrianglescolor},
  style1/.code=\def\sectionstyle{bigtriangles},
  style2/.code=\def\sectionstyle{lefttriangles},
  style3/.code=\def\sectionstyle{bottomtrianglesbw}
}
%    \end{macrocode}
% \end{macro}
%
%
% \begin{macro}{\trigon@inner@setdefaults}
% Sets default values for the inner theme options.
%    \begin{macrocode}
\newcommand{\trigon@inner@setdefaults}{
  \pgfkeys{/trigon/inner/.cd,
    sectionpage=simple,
    slidestyle=blank,
    titlestyle=style2,
    sectionstyle=plain
  }
}
%    \end{macrocode}
% \end{macro}
%
% \subsubsection{Backgrounds}
%
% First of all, we define a few commands in order easily create the triangles
% used as the main design elements of the theme. All these are defined with
% respect to the |\paperwidth| and |\paperheight| of the document, so that it
% fits the different aspect ratio possible.
%
% \begin{macro}{\leftTriangle}
% Defines a triangle with the base on the left side (pointing right).
%    \begin{macrocode}
\newcommand{\leftTriangle}[2]{
  (#1,#2)
  -- (0,{#2 + tan(30)*#1} )
  -- (0,{#2 - tan(30)*#1} )
  -- cycle;
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\righTriangle}
% Defines a triangle with the base on the right side (pointing left).
%    \begin{macrocode}
\newcommand{\rightTriangle}[2]{
  (#1,#2)
  -- (\the\paperwidth,{#2 + tan(30)*(\the\paperwidth-#1)} )
  -- (\the\paperwidth,{#2 - tan(30)*(\the\paperwidth-#1)} )
  -- cycle;
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\topTriangle}
% Defines a triangle with the base on the bottom side (pointing top).
%    \begin{macrocode}
\newcommand{\topTriangle}[2]{
  (#1,#2)
  -- ({#1 - tan(60)*#2},0)
  -- ({#1 + tan(60)*#2},0)
  -- cycle;
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\leftColorTriangle}
% Defines a colored triangle with the base on the left side (pointing right).
%    \begin{macrocode}
\newcommand{\leftColorTriangle}[3]{
  \path[fill=#3]
  \leftTriangle{#1}{#2}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\righColorTriangle}
% Defines a colored triangle with the base on the right side (pointing left).
%    \begin{macrocode}
\newcommand{\rightColorTriangle}[3]{
  \path[fill=#3]
  \rightTriangle{#1}{#2}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\topColorTriangle}
% Defines a colored triangle with the base on the bottom side (pointing top).
%    \begin{macrocode}
\newcommand{\topColorTriangle}[3]{
  \path[fill=#3]
  \topTriangle{#1}{#2}
}
%    \end{macrocode}
% \end{macro}
%
%
% We then define the different backgrounds choices.
%
% \begin{macro}{blank}
% Blank slide background.
%    \begin{macrocode}
\defbeamertemplate{background}{blank}{}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{smallcornertriangle}
% Background with a small triangle in bottom left corner (used for normal
% frames when the appropriate option is selected).
%    \begin{macrocode}
\defbeamertemplate{background}{smallcornertriangle}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.62\paperwidth}{0}{tGrey!30!tBg}
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{cyberbottom}
% Background with "mesh" effect on the bottom left corner (used for normal
% frames when the appropriate option is selected).
%    \begin{macrocode}
\defbeamertemplate{background}{cyberbottom}{
  \tikzstyle{cyberVertex}=[scale=1,draw=tGreyBg,circle,fill=tBg]
  \tikzstyle{cyberVertex2}=[scale=0.5,draw=tGreyBg,circle,fill=tGreyBg]
  \tikzstyle{cyberEdge} = [draw,color=tGreyBg]
  \begin{tikzpicture}%[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \foreach \pos/\name in {
      {(-0.05\paperwidth,0.75\paperheight)/0},
      {(0.02\paperwidth,0.53\paperheight)/1},
      {(-0.04\paperwidth,0.38\paperheight)/2},
      {(0.08\paperwidth,0.40\paperheight)/3},
      {(0.052\paperwidth,0.21\paperheight)/5},
      {(0.24\paperwidth,0.26\paperheight)/6},
      {(-0.08\paperwidth,-0.06\paperheight)/7},
      {(0.12\paperwidth,0.07\paperheight)/8},
      {(0.2\paperwidth,0.-0.08\paperheight)/9},
      {(0.38\paperwidth,0.06\paperheight)/10},
    {(0.56\paperwidth,-0.08\paperheight)/11}}
    \node[cyberVertex] (\name) at \pos {};
    \foreach \pos/\name in {
      {(-0.05\paperwidth,0.75\paperheight)/0},
      {(0.02\paperwidth,0.53\paperheight)/1},
      {(-0.04\paperwidth,0.38\paperheight)/2},
      {(0.08\paperwidth,0.40\paperheight)/3},
      {(0.052\paperwidth,0.21\paperheight)/5},
      {(0.24\paperwidth,0.26\paperheight)/6},
      {(-0.08\paperwidth,-0.06\paperheight)/7},
      {(0.12\paperwidth,0.07\paperheight)/8},
      {(0.2\paperwidth,0.-0.08\paperheight)/9},
      {(0.38\paperwidth,0.06\paperheight)/10},
    {(0.56\paperwidth,-0.08\paperheight)/11}}
    \node[cyberVertex2] (\name_2) at \pos {};
    \foreach \source/ \dest in
    {0/1,1/2,1/3,2/3,2/5,3/5,3/6,5/6,5/7,7/8,5/8,8/6,8/9,6/9,9/10,10/6,10/11}
    \path[cyberEdge] (\source) --  (\dest);
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{titlebigimage}
% Background for title page with a big image in the top left corener.
%    \begin{macrocode}
\defbeamertemplate{background}{titlebigimage}{
  \begin{tikzpicture}
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \begin{scope}[blend group=multiply]
      \path[fill=tTheme]\leftTriangle{0.5\paperwidth}{0};
      \topColorTriangle{0.73\paperwidth}{0.70\paperheight}{tGrey!30!tBg};
      \ifx\inserttitlegraphic\@empty
        \leftColorTriangle{0.73\paperwidth}{0.70\paperheight}{tTheme}
      \else
        \path[clip]\leftTriangle{0.73\paperwidth}{0.70\paperheight};
        \node[anchor=north west, inner sep=0pt, outer sep=0pt] at (0,\the\paperheight) {\inserttitlegraphic};
      \fi
    \end{scope}
    \path[fill=tBg]\rightTriangle{0.45\paperwidth}{\the\paperheight};
    \ifx\logbig\@empty \else
      \node[anchor=north east,inner sep=0mm] at
        (.96*\the\paperwidth,.96*\the\paperheight) {\logbig};
    \fi
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{titlesmallimage}
% Background for the titlepage with a small image in the top left corner.
%    \begin{macrocode}
\defbeamertemplate{background}{titlesmallimage}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.58\paperwidth}{0}{tGrey!30!tBg}
    \ifx\logbig\@empty \else
      \node[anchor=north east,inner sep=0mm] at
      (.94*\the\paperwidth,.94*\the\paperheight) {\logbig};
    \fi
    \ifx\inserttitlegraphic\@empty
      \leftColorTriangle{0.58\paperwidth}{\the\paperheight}{tTheme}
    \else
      \path[clip]\leftTriangle{0.58\paperwidth}{\the\paperheight};
      \node[anchor=north west, inner sep=0pt, outer sep=0pt] at (0,\the\paperheight) {\inserttitlegraphic};
    \fi
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bottomtrianglescolor}
% Background for title/section pages with two colored triangles in the bottom.
%    \begin{macrocode}
\defbeamertemplate{background}{bottomtrianglescolor}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.62\paperwidth}{0}{tTheme}
    \rightColorTriangle{0.38\paperwidth}{0}{tSec}
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bottomtrianglesbw}
% Background for title/section pages with two black and white triangles in the
% bottom.
%    \begin{macrocode}
\defbeamertemplate{background}{bottomtrianglesbw}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.62\paperwidth}{0}{tTheme}
    \rightColorTriangle{0.38\paperwidth}{0}{tGrey!30!tBg}
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bigtriangles}
% Background for section pages with a big triangle on the left.
%    \begin{macrocode}
\defbeamertemplate{background}{bigtriangles}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.80\paperwidth}{0.62\paperheight}{tTheme}
    \rightColorTriangle{0.68\paperwidth}{0.58\paperheight}{tGrey!30!tBg}
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{lefttriangles}
% Background for section pages with small triangles on the left.
%    \begin{macrocode}
\defbeamertemplate{background}{lefttriangles}{
  \begin{tikzpicture}[blend group=multiply]
    \useasboundingbox (0,0) rectangle(\the\paperwidth,\the\paperheight);
    \leftColorTriangle{0.52\paperwidth}{\the\paperheight}{tTheme}
    \leftColorTriangle{0.775\paperwidth}{0}{tGrey!30!tBg}
  \end{tikzpicture}
}
%    \end{macrocode}
% \end{macro}
%
% Before anything, the regular frame background is selected.
%    \begin{macrocode}
\setbeamertemplate{background}[\slidestyle]
%    \end{macrocode}
%
% Finally, we need to set the backgrounds properly before creating the different
% frames, create the special frames (title, section) and restore the regular
% background afterwards.
%
% \begin{macro}{\titleframe}
% Sets the titleframe.
%    \begin{macrocode}
\newcommand{\titleframe}{
  \setbeamertemplate{title page}[\titlestyle]
  \setbeamertemplate{background}[\titlestyle]
  \frame[plain,noframenumbering]{\titlepage}
  \setbeamertemplate{background}[\slidestyle]
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\sectionframe}
% Sets the titleframe.
%    \begin{macrocode}
\newcommand{\sectionframe}{
  \setbeamertemplate{section page}[\sectionstyle]
  \setbeamertemplate{background}[\sectionstyle]
  \frame[plain,noframenumbering]{\sectionpage}
  \setbeamertemplate{background}[\slidestyle]
}
\newcommand{\trigon@disablesectionpage}{
  \AtBeginSection{
    % intentionally empty
  }
}
\newcommand{\trigon@enablesectionpage}{
  \AtBeginSection{
    \sectionframe
  }
}
%    \end{macrocode}
% \end{macro}
%
%
% \subsubsection{Layout}
% The following macros define the proper position of the various elements of the
% frame, so the fit nicely with the different background selected.
%
% \begin{macro}{titlebigimage}
% Place the text on the title frame with a big image on the top left side.
%    \begin{macrocode}
\defbeamertemplate{title page}{titlebigimage}
{
  \vskip135pt
  \begin{flushright}
    \begin{minipage}[t][][c]{0.5\textwidth}%
      \centering
      \usebeamerfont{title}\usebeamercolor[fg]{title}
      \inserttitle\par
    \end{minipage}
    \ifx \insertsubtitle\@empty
  \else
    \vskip15pt
    \begin{minipage}[t][][c]{0.5\textwidth}%
      \centering
      \usebeamerfont{subtitle}\insertsubtitle\par%
    \end{minipage}
  \fi
  \vskip13pt
  \begin{minipage}[t][][c]{0.5\textwidth}%
    \centering
    \usebeamerfont{author}\insertauthor%
    \vskip5pt
    \usebeamerfont{date}\insertdate%
  \end{minipage}
\end{flushright}
\vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{titlesmallimage}
% Place the text on the title frame with a small image on the top left side.
%    \begin{macrocode}
\defbeamertemplate{title page}{titlesmallimage}
{
  \vskip140pt%
  \begin{beamercolorbox}[wd=\textwidth,sep=4pt]{title page header}
    \usebeamerfont{title}\usebeamercolor[fg]{title}\inserttitle\par%
  \end{beamercolorbox}%
  \ifx \insertsubtitle\@empty
\else
  \vskip8pt
  \begin{beamercolorbox}[wd=\textwidth,sep=4pt]{subtitle page header}
    \usebeamerfont{subtitle}\insertsubtitle\par%
  \end{beamercolorbox}%
\fi
\vskip10pt
\begin{beamercolorbox}[wd=\textwidth,sep=4pt]{author}
  \usebeamerfont{author}\insertauthor%
\end{beamercolorbox}
\vskip2pt%
\begin{beamercolorbox}[wd=\textwidth,sep=4pt]{date}
  \usebeamerfont{date}\insertdate%
\end{beamercolorbox}
\vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bottomtrianglescolor}
% Place the text on the title frame with two triangles on the bottom.
%    \begin{macrocode}
\defbeamertemplate{title page}{bottomtrianglescolor}
{
  \vskip0pt
  \begin{center}
    \begin{minipage}[t][][t]{\textwidth}
      \centering%
      \ifx\logbig\@empty \else
        \logbig
      \fi
    \end{minipage}
    \vskip15pt
    \begin{minipage}[t][][c]{\textwidth}%
      \centering
      \usebeamerfont{title}\usebeamercolor[fg]{title}
      \inserttitle\par
    \end{minipage}
    \ifx \insertsubtitle\@empty
  \else
    \vskip15pt
    \begin{minipage}[t][][c]{\textwidth}%
      \centering
      \usebeamerfont{subtitle}\insertsubtitle\par%
    \end{minipage}
  \fi
  \vskip20pt
  \begin{minipage}[t][][c]{0.5\textwidth}%
    \centering
    \usebeamerfont{author}\insertauthor\\[0.3cm]%
    \usebeamerfont{date}\insertdate
  \end{minipage}
\end{center}
\vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bottomtrianglescolor}
% Place the text on the section frame with two colored triangles on the
% bottom.
%    \begin{macrocode}
\defbeamertemplate{section page}{bottomtrianglescolor}
{
  \vskip40pt
  \begin{center}
    \begin{minipage}[t][][c]{\textwidth}%
      \centering
      \usebeamerfont{section title}\usebeamercolor[fg]{title}
      \insertsectionhead\par
    \end{minipage}
  \end{center}
  \vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bottomtrianglesbw}
% Place the text on the section frame with two black and white triangles on
% the bottom.
%    \begin{macrocode}
\defbeamertemplate{section page}{bottomtrianglesbw}
{
  \vskip40pt
  \begin{center}
    \begin{minipage}[t][][c]{\textwidth}%
      \centering
      \usebeamerfont{section title}\usebeamercolor[fg]{title}
      \insertsectionhead\par
    \end{minipage}
  \end{center}
  \vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{bigtriangles}
% Place the text on the section frame with two big triangles.
%    \begin{macrocode}
\defbeamertemplate{section page}{bigtriangles}
{
  \vskip200pt
  \begin{flushright}
    \begin{minipage}[t]{0.62\textwidth}%7
      \usebeamerfont{section title}\usebeamercolor[fg]{title}
      \raggedleft
      \insertsectionhead\par
    \end{minipage}
  \end{flushright}
  \vfill
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{lefttriangles}
% Place the text on the section frame with two small left triangles.
%    \begin{macrocode}
\defbeamertemplate{section page}{lefttriangles}
{
  \vskip25pt
  \begin{beamercolorbox}[wd=\textwidth,leftskip=100pt,sep=4pt]{section page header}
    \usebeamerfont{section title}\usebeamercolor[fg]{title}
    \insertsectionhead\par
  \end{beamercolorbox}%
  \vfill
}
%    \end{macrocode}
% \end{macro}
%
% \subsubsection{Block environments}
%
% \begin{macro}{block}
% \begin{macro}{block alerted}
% \begin{macro}{block example}
%
% The three different block environments differ only in their colours.
% Rather than repeat the essentially the same template three times, we use
% the auxiliary macro |\trigon@block| to define all three templates.
%
%    \begin{macrocode}
\newlength{\trigon@blocksep}
\newlength{\trigon@blockadjust}
\setlength{\trigon@blocksep}{0.75ex}
\setlength{\trigon@blockadjust}{0.25ex}
\providecommand{\trigon@strut}{%
  \vphantom{ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz()}%
}
\newcommand{\trigon@block}[1]{
  \par\vskip\medskipamount%
  \setlength{\parskip}{0pt}
%    \end{macrocode}
%
% If a background color is defined for the block title or body, we need to
% add a little bit of padding to the corresponding box. Ideally, this would
% be accomplished by setting |colsep=0.75ex|, which is intended to add
% ``color separation space'' only when the box has a colored background.
% Unfortunately, |colsep| also adds this separation if the background color
% is inherited, even if the inherited color is actually empty.
% (The technical reason for this boils down to the fact that the |\ifx|
% directive does not expand macros.)
%
% To achieve the correct spacing for |alertblock|s and |exampleblock|s
% as well as for normal blocks, we have to begin the |beamercolorbox|
% differently based on whether |block title| has an empty background.
%
% If the |block title| background is empty, or the user has explicitly
% removed the background from (e.g.) |block title alerted|, we just need to
% set a rightskip for a nice ragged-right block title.
%
%    \begin{macrocode}
  \ifbeamercolorempty[bg]{block title#1}{%
    \begin{beamercolorbox}[rightskip=0pt plus 4em]{block title#1}}{%
  \ifbeamercolorempty[bg]{block title}{%
  \begin{beamercolorbox}[rightskip=0pt plus 4em]{block title#1}%
  }%
%    \end{macrocode}
%
% Otherwise, if the |block title| has a background, we set the padding based
% on |\trigon@blockskip|. However, we have to visually compensate for
% the |\trigon@strut| added to the block title (see below) by
% subtracting |\trigon@blockadjust| from the top and bottom padding.
%
%    \begin{macrocode}
  {%
    \begin{beamercolorbox}[
      sep=\dimexpr\trigon@blocksep-\trigon@blockadjust\relax,
      leftskip=\trigon@blockadjust,
      rightskip=\dimexpr\trigon@blockadjust plus 4em\relax
      ]{block title#1}%
  }}%
%    \end{macrocode}
%
% We can now set the contents of the |block title|. The zero-width but
% positive-height box |\trigon@strut| ensures that the block title box
% has a consistent height, even if it lacks punctuation, ascenders, or
% descenders.
%
%    \begin{macrocode}
      \usebeamerfont*{block title#1}%
      \trigon@strut%
      \insertblocktitle%
      \trigon@strut%
  \end{beamercolorbox}%
%    \end{macrocode}
%
% Next, we typeset the |block body|. This the code is similar to, but simpler
% than, the |block title| code since we don't need to adjust for any struts.
%
%    \begin{macrocode}
  \nointerlineskip%
  \ifbeamercolorempty[bg]{block body#1}{%
    \begin{beamercolorbox}[vmode]{block body#1}}{
  \ifbeamercolorempty[bg]{block body}{%
    \begin{beamercolorbox}[vmode]{block body#1}%
  }{%
    \begin{beamercolorbox}[sep=\trigon@blocksep, vmode]{block body#1}%
    \vspace{-\trigon@parskip}
  }}%
    \usebeamerfont{block body#1}%
    \setlength{\parskip}{\trigon@parskip}%
}
%    \end{macrocode}
%
%  This concludes the auxiliary macro |\trigon@block|. Finally,
%  we define the block beamer templates using this macro.
%
%    \begin{macrocode}
\setbeamertemplate{block begin}{\trigon@block{}}
\setbeamertemplate{block alerted begin}{\trigon@block{ alerted}}
\setbeamertemplate{block example begin}{\trigon@block{ example}}
\setbeamertemplate{block end}{\end{beamercolorbox}\vspace*{0.2ex}}
\setbeamertemplate{block alerted end}{\end{beamercolorbox}\vspace*{0.2ex}}
\setbeamertemplate{block example end}{\end{beamercolorbox}\vspace*{0.2ex}}
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \end{macro}
%
% \subsubsection{Lists and floats}
%
%    \begin{macrocode}
\setbeamertemplate{caption label separator}{: }
\setbeamertemplate{caption}[numbered]
%    \end{macrocode}
%
% \subsubsection{Text and spacing settings}
%
%    \begin{macrocode}
\newlength{\trigon@parskip}
\setlength{\trigon@parskip}{0.5em}
\setlength{\parskip}{\trigon@parskip}
\linespread{1.15}
%    \end{macrocode}
%
% \subsubsection{Margins}
%
% The margins are defined as
%    \begin{macrocode}
\setbeamersize{text margin left=.05\paperwidth, text margin right=.05\paperwidth}
%    \end{macrocode}
%
% \subsubsection{Process package options}
%
%    \begin{macrocode}
\trigon@inner@setdefaults
\ProcessPgfPackageOptions{/trigon/inner}
%    \end{macrocode}
%
% \iffalse
%</package>
% \fi
% \Finale
\endinput
