% Copyright 2003--2007 by Till Tantau
% Copyright 2010 by Vedran Mileti\'c
% Copyright 2011,2012,2015 by Vedran Mileti\'c, Joseph Wright
% Copyright 2016 by Joseph Wright
% Copyright 2017-2020 by Louis Stuart, Joseph Wright
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Public License.
%
% See the file doc/licenses/LICENSE for more details.

\mode
<presentation>

%
%
% Hyperlink fix for problem with empty test in pdfmark.def
% Note that this is redefined again later (for overlays)
%
%
\let\beamer@orighyperlink\hyperlink
\def\hyperlink#1#2{\beamer@orighyperlink{#1}{\relax#2}}

\providecommand\hyper@pagetransition{}
\providecommand\hyper@pageduration{}
\providecommand\hyper@pagehidden{}

% The definitions that hyperref uses with natbib to give
% links: our load order is wrong so they don't 'engage'
\def\hyper@natanchorstart#1{%
  \Hy@raisedlink{\hyper@anchorstart {cite.#1}}%
}
\def\hyper@natanchorend{\hyper@anchorend}
\def\hyper@natlinkstart#1{%
  \Hy@backout{#1}%
  \hyper@linkstart{cite}{cite.#1}%
  \def\hyper@nat@current{#1}%
}
\def\hyper@natlinkend{\hyper@linkend}

\mode
<all>
{
  % Things to be done at the beginning of the document
  \def\beamer@lastminutepatches{}
  \def\beamer@firstminutepatches{}
}

%
% Fixes right before the start of the document.
%
\providecommand\IfFormatAtLeastTF{\@ifl@t@r\fmtversion}
\IfFormatAtLeastTF{2020-10-01}
  {%
    \AddToHook{env/document/begin}[beamer]{\beamer@firstminutepatches}%
    \AddToHook{env/document/begin}[beamer]{%
      \@ifpackageloaded{paralist}{\RequirePackage{beamerpatchparalist}}{}%
    }%
    \AddToHook{begindocument/end}[beamer]%need to be later than spanish.ldf?
      {%
        \@ifundefined{deactivatequoting}{}{\deactivatequoting}%
        % Fix meddline with enumerate items
        \renewcommand\theenumi{\@arabic\c@enumi}%
        \renewcommand\theenumii{\@arabic\c@enumii}%
        \renewcommand\theenumiii{\@arabic\c@enumiii}%
        \catcode`<=12 \catcode`>=12 %% right place??
        \beamer@lastminutepatches
        \ifbeamer@ignorenonframe
         \expandafter\mode\expandafter*%
       \fi
      }
  }
  {%
    \let\beamer@origdocument\document
    \def\document{%
      \beamer@firstminutepatches
      \endgroup
      \AtBeginDocument{% fix spanish.ldf's meddling with < and >
        %
        % Fix spanish.ldf's meddling with < and >
        %
        \@ifundefined{deactivatequoting}{}{\deactivatequoting}%
        % Fix meddline with enumerate items
        \renewcommand\theenumi{\@arabic\c@enumi}%
        \renewcommand\theenumii{\@arabic\c@enumii}%
        \renewcommand\theenumiii{\@arabic\c@enumiii}%
      }%
      \AtBeginDocument{% Allow for paralist loading
        \@ifpackageloaded{paralist}{\RequirePackage{beamerpatchparalist}}{}
        \let\labelitemi\beamer@labelitemi
        \let\labelitemii\beamer@labelitemii
        \let\itemize\beamer@itemize
        \let\list\beamer@list
        \let\@trivlist\beamer@@trivlist
        \catcode`<=12 \catcode`>=12 }%
      \begingroup
        \beamer@origdocument
        \beamer@lastminutepatches
        \ifbeamer@ignorenonframe
          \expandafter\mode\expandafter*%
        \fi}%
  }

\mode
<article>
{
  \IfFormatAtLeastTF{2020-10-01}
    {\AddToHook{env/begin/document}[beamer]{\beamer@lastminutepatches}}
    {%
      \let\beamer@origdocument\document
      \def\document{%
        \beamer@origdocument%
        \beamer@lastminutepatches}
    }

  \g@addto@macro\beamer@lastminutepatches{%
    \ifbeamer@articleactive
    \else
      \catcode`<=12 %
      \catcode`>=12 %
    \fi
    }
}

\AtBeginDocument{\def\es@itemize#1#2#3#4{}}% fix spanish.ldf's with \itemize

%
% Fix for older versions of geometry
% We used to test \ifGm@compatii,
% but as of geometry v5.0, it is no longer provided.
%
\ifx\Gm@lmargin\@undefined
  \def\Gm@lmargin{\Geom@lmargin}
  \def\Gm@rmargin{\Geom@rmargin}
\else
  \geometry{includeheadfoot}
\fi

%
% Fix deluxetabular floats
%
\AtBeginDocument{%
  \def\@plano@float@#1{\begin{table}}
  \def\end@plano@float@{\end{table}}%
}

%
% Fix for implict=false for hyperref
%
\def\WriteBookmarks{0}
\expandafter\def\csname Parent-4\endcsname{}
\expandafter\def\csname Parent-3\endcsname{}
\expandafter\def\csname Parent-2\endcsname{}
\expandafter\def\csname Parent-1\endcsname{}
\expandafter\def\csname Parent0\endcsname{}
\expandafter\def\csname Parent1\endcsname{}
\expandafter\def\csname Parent2\endcsname{}
\expandafter\def\csname Parent3\endcsname{}
\expandafter\def\csname Parent4\endcsname{}
\def\phantomsection{}

%
% Heiko's fix for correct generation of section* and subsection* bookmarks
%
%\g@addto@macro\beamer@lastminutepatches{%
%  \long\def\@LongEmpty{}%
%  \newcommand*{\org@beamer@section}{}%
%  \let\org@beamer@section\beamer@section{}%
%  \let\org@writebookmark\Hy@writebookmark{}%
%  \long\def\beamer@section[#1]#2{%
%    \let\Hy@writebookmark\org@writebookmark
%    \long\def\@secname{#1}%
%    \ifx\@secname\@LongEmpty{}%
%      \def\Hy@writebookmark##1##2##3##4##5{}%
%    \fi
%    \long\def\@secname{#2}%
%    \ifx\@secname\@LongEmpty{}%
%      \def\Hy@writebookmark##1##2##3##4##5{}%
%    \fi
%    \org@beamer@section[{#1}]{#2}%
%  }%
%  \newcommand*{\org@beamer@subsection}{}%
%  \let\org@beamer@subsection\beamer@subsection{}%
%  \long\def\beamer@subsection[#1]#2{%
%    \let\Hy@writebookmark\org@writebookmark
%    \long\def\@secname{#1}%
%    \ifx\@secname\@LongEmpty{}%
%      \def\Hy@writebookmark##1##2##3##4##5{}%
%    \fi
%    \long\def\@secname{#2}%
%    \ifx\@secname\@LongEmpty{}%
%      \def\Hy@writebookmark##1##2##3##4##5{}%
%    \fi
%    \org@beamer@subsection[{#1}]{#2}%
%  }%
%}

%
% Bugfix for old versions of pdfmark
%
\begingroup
  \catcode`P=12
  \catcode`T=12
  \lowercase{\endgroup
  \gdef\rem@ptetc#1.#2PT#3!{#1\ifnum#2>\z@.#2\fi}%
}
\def\strip@pt@and@otherjunk#1{\expandafter\rem@ptetc\the#1!}

%
% Make the effect of pdfpagetransition and duration global, not local
%
\define@key{Hyp}{pdfpagetransition}{\gdef\@pdfpagetransition{#1}}
\define@key{Hyp}{pdfpageduration}{\gdef\@pdfpageduration{#1}}

%
%
% Fix for babel
%
%
\providecommand\textlatin{}
\providecommand\theparagraph{}
\providecommand\thesubparagraph{}
\providecommand\listoffigures{}
\providecommand\listoftables{}
\providecommand\l@part{}
\providecommand\l@chapter{}

%
% Fix for subfig
%
\providecommand\ext@table{}
\providecommand\ext@figure{}

%
% Obsolete commands from old versions of beamer
%
\mode
<all>
{
  \let\beamer@ifempty=\ifblank

  \let\beamer@verb@egroup=\verb@egroup

  \def\beamer@setb{\setbox0=\copy}
  \long\def\defverb#1{%
    \expandafter\newbox\csname @verb\string#1\endcsname%
    \def#1{{\expandafter\beamer@setb\csname
        @verb\string#1\endcsname\unhbox0}}%
    \def\verb@egroup{\global\let\verb@balance@group\@empty\egroup\egroup\let\verb@egroup=\beamer@verb@egroup}
    \expandafter\setbox\csname @verb\string#1\endcsname=\hbox\bgroup
    \verb}

  \define@key{beamerverb}{colored}[true]{\def\beamer@colorsup{}}
  \define@key{beamerverb}{width}{\def\beamer@verbwidth{#1}}

  \newcommand{\defverbatim}[2][]{%
    \def\beamer@colorsup{\def\set@color{}\def\reset@color{}}%
    \setkeys{beamerverb}{width=\textwidth}%
    \setkeys{beamerverb}{#1}%
    \expandafter\newbox\csname @verb\string#2\endcsname%
    \def#2{{\expandafter\beamer@setb\csname @verb\string#2\endcsname%
        \unvbox0}\color{.}}%
    \expandafter\setbox\csname @verb\string#2\endcsname=\vbox\bgroup%
    \beamer@colorsup%
    \hsize=\beamer@verbwidth\textwidth=\beamer@verbwidth\linewidth=\beamer@verbwidth%
    \vskip-\baselineskip\strut\bgroup\aftergroup\beamer@verbend%
    \let\@next=}
  \def\beamer@verbend{\vskip-\baselineskip\strut\egroup}
}
\def\tableofcontentscurrent{\tableofcontents[current]}
\def\plainframe{\frame[plain]}%obsolete
\def\pgfonly{\only}%obsolete
\AtBeginDocument{\newcommand{\nameslide}{\alt{\beamer@nameslide}{\@gobble}}}%obsolete
\newenvironment{pauses}[1][\c@beamerpauses]{\setcounter{beamerpauses}{#1}}{}%obsolete
\def\newoverlaycommand#1#2#3{\def#1{\alt{#2}{#3}}}
\def\newoverlayenvironment#1#2#3#4#5{\newenvironment{#1}{\begin{altenv}{#2}{#3}{#4}{#5}}{\end{altenv}}}
\newenvironment{columnsonlytextwidth}{\begin{columns}[onlytextwidth]}{\end{columns}}
\def\untitledsubsection{\subsection*{}}
\def\noteitems{\note[enumerate]}


\define@key{beamertoc}{current}[]{\beamer@toc@sectionstyle{show/shaded}\beamer@toc@subsectionstyle{show/show/shaded}}
\define@key{beamertoc}{hidesubsections}[]{\beamer@toc@subsectionstyle{show/show/hide}}
\define@key{beamertoc}{shadesubsections}[]{\beamer@toc@subsectionstyle{shaded}}

\mode
<all>{\def\unpause{\onslide{}}}

\def\beamer@fixedline#1{%
  {\setbox\beamer@linebox=\hbox to\textwidth{\hskip-\Gm@lmargin\hskip0.3cm{#1}\hskip-\Gm@rmargin\hskip0.3cm}%
  \ht\beamer@linebox=2.125ex%
  \dp\beamer@linebox=1.125ex%
  \box\beamer@linebox}}
\def\beamer@fixedcolouredline#1#2{%
  \hbox{%
    \setbox\beamer@linebox=\hbox to\textwidth{\hskip-\Gm@lmargin\hskip0.3cm{#2}\hskip-\Gm@rmargin\hskip0.3cm}%
    \ht\beamer@linebox=2.625ex%
    \dp\beamer@linebox=0pt%
    \setbox\beamer@linebox=\vbox{\box\beamer@linebox\vskip1.125ex}%
    {\color{#1}\hskip-\Gm@lmargin\vrule width\paperwidth
      height\ht\beamer@linebox\hskip-\paperwidth\hskip\Gm@lmargin}%
    \box\beamer@linebox}%
  }
\long\def\beamer@colouredline#1#2{%
  \hbox{%
    \setbox\beamer@linebox=\vbox{\hbox to\textwidth{\hskip-\Gm@lmargin{#2}\hskip-\Gm@rmargin}}%
    {\color{#1}\hskip-\Gm@lmargin\vrule width\paperwidth
      height\ht\beamer@linebox\hskip-\paperwidth\hskip\Gm@lmargin}%
    \box\beamer@linebox}%
  }
\def\tinyline#1{%
  {\tiny\setbox\beamer@linebox=\hbox to\textwidth{\hskip-\Gm@lmargin\hskip0.3cm{#1}\hskip-\Gm@rmargin\hskip0.3cm}%
  \ht\beamer@linebox=2.06ex%
  \dp\beamer@linebox=0pt%
  \box\beamer@linebox%
  \vskip1.125ex}}
\def\tinycolouredline#1#2{%
  \hbox{\tiny%
    \setbox\beamer@linebox=\hbox to\textwidth{\hskip-\Gm@lmargin\hskip0.3cm{#2}\hskip-\Gm@rmargin\hskip0.3cm}%
    \ht\beamer@linebox=2.625ex%
    \dp\beamer@linebox=0pt%
    \setbox\beamer@linebox=\vbox{\box\beamer@linebox\vskip1.125ex}%
    {\color{#1}\hskip-\Gm@lmargin\vrule width\paperwidth
      height\ht\beamer@linebox\hskip-\paperwidth\hskip\Gm@lmargin}%
    \box\beamer@linebox}%
  }
\def\colouredline#1#2{%
  \hbox{%
    \setbox\beamer@linebox=\hbox to\textwidth{\hskip-\Gm@lmargin\hskip0.3cm{#2}\hskip-\Gm@rmargin\hskip0.3cm}%
    \setbox\beamer@linebox=\vbox{\vskip2pt\box\beamer@linebox\vskip2pt}%
    {\color{#1}\hskip-\Gm@lmargin\vrule width\paperwidth
      height\ht\beamer@linebox\hskip-\paperwidth\hskip\Gm@lmargin}%
    \box\beamer@linebox}%
  }
\def\beamerline#1{\hbox{\hskip-\Gm@lmargin#1\hskip-\Gm@rmargin}}
\def\insertvrule#1#2{\hbox{\color{#2}\hskip-\Gm@lmargin\vrule width \paperwidth height #1\hskip-\Gm@rmargin}}

\def\usetitlepagetemplate{\setbeamertemplate{title page}}
\def\usepartpagetemplate{\setbeamertemplate{part page}}
\mode
<all>{\def\useframetitletemplate{\setbeamertemplate{frametitle}}}
\def\useitemizeitemtemplate{\setbeamertemplate{itemize item}}
\def\usesubitemizeitemtemplate{\setbeamertemplate{itemize subitem}}
\def\usesubsubitemizeitemtemplate{\setbeamertemplate{itemize subsubitem}}
\def\useenumerateitemtemplate{\setbeamertemplate{enumerate item}}
\def\usesubenumerateitemtemplate{\setbeamertemplate{enumerate subitem}}
\def\usesubsubenumerateitemtemplate{\setbeamertemplate{enumerate subsubitem}}
\def\useitemizetemplate#1#2{% before and after
  \setbeamertemplate{itemize/enumerate body begin}{#1}%
  \setbeamertemplate{itemize/enumerate body end}{#2}}
\def\usesubitemizetemplate#1#2{% before and after
  \setbeamertemplate{itemize/enumerate subbody begin}{#1}%
  \setbeamertemplate{itemize/enumerate subbody end}{#2}}
\def\usesubsubitemizetemplate#1#2{% before and after
  \setbeamertemplate{itemize/enumerate subsubbody begin}{#1}%
  \setbeamertemplate{itemize/enumerate subsubbody end}{#2}}
\def\useenumerateitemminitemplate{\setbeamertemplate{enumerate mini template}}
\let\useenumeratetemplate=\useitemizetemplate
\let\usesubenumeratetemplate=\usesubitemizetemplate
\let\usesubsubenumeratetemplate=\usesubsubitemizetemplate
\def\useleftsidebartemplate{\usesidebartemplate[left]}
\def\userightsidebartemplate{\usesidebartemplate[right]}
\def\useleftsidebarbackgroundtemplate{\usesidebarbackgroundtemplate[left]}
\def\userightsidebarbackgroundtemplate{\usesidebarbackgroundtemplate[right]}
\def\useleftsidebarcolortemplate#1{\usesidebarbackgroundtemplate[left]{#1\vrule height\paperheight
  width\csname beamer@leftsidebar\endcsname}}
\def\userightsidebarcolortemplate#1{\usesidebarbackgroundtemplate[right]{#1\vrule height\paperheight
  width\csname beamer@rightsidebar\endcsname}}
\def\useleftsidebarverticalshadingtemplate{\beamertemplatesidebarverticalshading[left]}
\def\userightsidebarverticalshadingtemplate{\beamertemplatesidebarverticalshading[right]}
\def\useleftsidebarhorizontalshadingtemplate{\beamertemplatesidebarhorizontalshading[left]}
\def\userightsidebarhorizontalshadingtemplate{\beamertemplatesidebarhorizontalshading[right]}
\def\usedescriptionitemtemplate#1#2{\setbeamertemplate{description item}{#1}\setbeamersize{description width={#2}}}
\def\usedescriptionitemofwidthas#1{\setbeamersize{description width of={#1}}}%
\def\usetemplatetocsection{\@ifnextchar[\@@usetemplatetocsection\@usetemplatetocsection}
\long\def\@@usetemplatetocsection[#1]#2{
  \@usetemplatetocsection{#2}{\begin{colormixin}{#1}#2\end{colormixin}\unskip}}
\long\def\@usetemplatetocsection#1#2{\setbeamertemplate{section in toc}{#1}
  \setbeamertemplate{section in toc shaded}{#2}}
\def\usetemplatetocsubsection{\@ifnextchar[\@@usetemplatetocsubsection\@usetemplatetocsubsection}
\long\def\@@usetemplatetocsubsection[#1]#2{
  \@usetemplatetocsubsection{#2}{\begin{colormixin}{#1}#2\end{colormixin}\unskip}}
\long\def\@usetemplatetocsubsection#1#2{\setbeamertemplate{subsection in toc}{#1}%
  \setbeamertemplate{subsection in toc shaded}{#2}}
\def\usebibitemtemplate{\setbeamertemplate{bibliography item}}
\newcommand\usebibliographyblocktemplate[4]{%
  \setbeamertemplate{bibliography entry author}{#1}%
  \setbeamertemplate{bibliography entry title}{#2}%
  \setbeamertemplate{bibliography entry location}{#3}%
  \setbeamertemplate{bibliography entry note}{#4}}
\def\usebuttontemplate{\setbeamertemplate{button}}
\def\usetemplateabstract#1#2{%
  \setbeamertemplate{abstract title}{}
  \setbeamertemplate{abstract body begin}{#1}
  \setbeamertemplate{abstract body end}{#2}}
\def\usetemplateverse#1#2{\setbeamertemplate{verse begin}{#1}\setbeamertemplate{verse end}{#2}}
\def\usetemplatenote{\setbeamertemplate{note page}}
\def\useheadtemplate{\@ifstar{\beamer@useheads}{\beamer@usehead}}
\def\beamer@usehead{\setbeamertemplate{headline}[text line]}
\def\beamer@useheads{\setbeamertemplate{headline}}
\def\addtoheadtemplate{\addtobeamertemplate{headline}}
\def\addtofoottemplate{\addtobeamertemplate{footline}}
\def\usefoottemplate{\@ifstar{\beamer@usefoots}{\beamer@usefoot}}
\def\beamer@usefoot{\setbeamertemplate{footline}[text line]}
\def\beamer@usefoots{\setbeamertemplate{footline}}
\def\usecaptiontemplate{\setbeamertemplate{caption}}
\def\insertblockname{\insertblocktitle}
\long\def\usesectionheadtemplate#1#2{%
  \setbeamertemplate{section in head/foot}{#1}%
  \setbeamertemplate{section in head/foot shaded}{#2}}
\long\def\usesubsectionheadtemplate#1#2{%
  \setbeamertemplate{subsection in head/foot}{#1}%
  \setbeamertemplate{subsection in head/foot shaded}{#2}}
\long\def\usesectionsidetemplate#1#2{%
  \setbeamertemplate{section in sidebar}{#1}%
  \setbeamertemplate{section in sidebar shaded}{#2}}
\long\def\usesubsectionsidetemplate#1#2{%
  \setbeamertemplate{subsection in sidebar}{#1}%
  \setbeamertemplate{subsection in sidebar shaded}{#2}}
\newcommand\usetheoremtemplate[2]{%
  \setbeamertemplate{theorem begin}{#1}
  \setbeamertemplate{theorem end}{#2}}
\newcommand\useprooftemplate[2]{
  \setbeamertemplate{proof begin}{#1}
  \setbeamertemplate{proof end}{#2}}
\def\useqedsymboltemplate{\setbeamertemplate{qed symbol}}
\newcommand{\BeispielInline}[1]{{\usebeamercolor[fg]{example text}Beispiel: \ignorespaces#1}}
\newcommand{\ExampleInline}[1]{{\usebeamercolor[fg]{example text}\translate{Example}: \ignorespaces#1}}
\def\usenavigationsymbolstemplate{\setbeamertemplate{navigation symbols}}
\def\insertnavigationsymbols{\usebeamertemplate***{navigation symbols}}
\def\beamersetaveragebackground#1{\setbeamercolor{normal text}{bg={#1}}}
\def\useminislidetemplate#1#2#3#4#5{%
  \setbeamertemplate{mini frame}{#1}%
  \setbeamertemplate{mini frame in current subsection}{#2}%
  \setbeamertemplate{mini frame in other subsection}{#3}%
  \setbeamersize{mini frame size={#4},mini frame offset={#5}}}
\newcommand\usesidebarbackgroundtemplate[2][left]{\setbeamertemplate{sidebar canvas #1}{#2}}
\def\usefootnotetemplate{\setbeamertemplate{footnote}}


\def\beamertemplatedefaulttoc{\setbeamertemplate{sections/subsections in toc}[default]}
\def\beamertemplatenumberedsubsectiontoc{\setbeamertemplate{sections/subsections in toc}[subsections numbered]}
\def\beamertemplatenumberedsectiontoc{\setbeamertemplate{sections/subsections in toc}[sections numbered]}
\def\beamertemplatenumberedcirclesectiontoc{\setbeamertemplate{sections/subsections in toc}[circle]}
\def\beamertemplatenumberedsquaresectiontoc{\setbeamertemplate{sections/subsections in toc}[square]}
\def\beamertemplatenumberedballsectiontoc{\setbeamertemplate{sections/subsections in toc}[ball]}
\def\beamertemplateballtoc{\setbeamertemplate{sections/subsections in toc}[ball unnumbered]}
\def\beamertemplatedotitem{\setbeamertemplate{itemize items}[circle]}
\def\beamertemplatetriangleitem{\setbeamertemplate{itemize items}[default]}
\def\beamertemplatesquareitem{\setbeamertemplate{itemize items}[square]}
\def\beamertemplateballitem{\setbeamertemplate{items}[ball]}
\def\beamertemplateenumeratealpha{\setbeamertemplate{enumerate items}[default]}
\def\beamertemplateenumeratecircle{\setbeamertemplate{enumerate items}[circle]}
\def\beamertemplateenumeratesquare{\setbeamertemplate{enumerate items}[square]}
\def\beamertemplatelargepartpage{\setbeamertemplate{part page}[default]}
\def\beamertemplateboldpartpage{\setbeamerfont{part}{size=\large}%
  \setbeamerfont{part name}{series=\bfseries}%
  \setbeamertemplate{part page}[default]}
\def\beamertemplatelargetitlepage{\setbeamertemplate{title page}[default]}
\def\beamertemplateboldtitlepage{\setbeamerfont{title}{size=\large,series=\bfseries}%
  \setbeamertemplate{title page}[default]}
\def\beamertemplateboldcenterframetitle{\setbeamerfont{frametitle}{size={},series=\bfseries}
  \setbeamerfont{framesubtitle}{series=\bfseries}
  \setbeamertemplate{frametitle}[default][center]}
\def\beamertemplateboldframetitle{\setbeamerfont{frametitle}{series=\bfseries}
  \setbeamerfont{framesubtitle}{series=\bfseries}
  \setbeamertemplate{frametitle}[default]}
\def\beamertemplatelargeframetitle{\setbeamertemplate{frametitle}[default]}
\def\beamertemplateboldblocks{\setbeamerfont{block title}{size={},series=\bfseries}\setbeamertemplate{blocks}[default]}
\def\beamertemplatelargeblocks{\setbeamertemplate{blocks}[default]}
\def\beamertemplateshadowblocks{\setbeamertemplate{blocks}[rounded][shadow=true]}
\def\beamertemplateplaintoc{\beamertemplatedefaulttoc}
\def\beamertemplatecircleminiframeinverted{\beamertemplatecircleminiframe%
  \usebeamercolor{mini frames}{use=structure,fg=white,bg=structure.bg}}
\def\beamertemplatesphereminiframe{\beamertemplatecircleminiframe}
\def\beamertemplatesphereminiframeinverted{\beamertemplatecircleminiframeinverted}
\def\beamertemplatelightsectionheads{\usesectionheadtemplate{\hfill\insertsectionhead}{\hfill\color{fg!50!bg}\insertsectionhead}
 \usesubsectionheadtemplate{\insertsubsectionhead}{\color{fg!50!bg}\insertsubsectionhead}}
\let\beamertemplatedarksectionheads=\beamertemplatedefaultsectionheads
\def\usecontinuationtemplate{\setbeamertemplate{frametitle continuation}}
\def\beamertemplatecontinuationroman{\setbeamertemplate{frametitle continuation}[default]}
\def\beamertemplatecontinuationtext{\setbeamertemplate{frametitle continuation}[from second]}
\def\beamertemplateroundedbuttons{\setbeamertemplate{button}[default]}
\def\beamertemplateoutlinebuttons{\setbeamercolor*{button border}{parent=structure,use=structure,fg=structure.fg!50!bg}}
\def\beamertemplatesolidbuttons{\setbeamercolor*{button}{use=structure,bg=structure.fg!50!bg,fg=white}
 \setbeamercolor*{button border}{use=structure,fg=structure.fg!50!bg}}
\def\usetemplatequotation#1#2{
  \setbeamertemplate{quotation begin}{#1}
  \setbeamertemplate{quote begin}{#1}
  \setbeamertemplate{quotation end}{#2}
  \setbeamertemplate{quote end}{#2}}
\def\beamertemplateheadempty{\setbeamertemplate{headline}{}}
\def\beamertemplatefootempty{\setbeamertemplate{footline}{}}
\def\beamertemplatefootpagenumber{\setbeamertemplate{footline}[page number]}
\def\beamertemplatecaptionownline{\setbeamertemplate{caption}[caption name own line]}
\def\beamertemplatecaptionnwithnumber{\setbeamertemplate{caption}[numbered]}
\def\beamertemplateroundedblocks{\setbeamertemplate{blocks}[rounded]}
\def\beamertemplatetheoremsunnumbered{\setbeamertemplate{theorems}[default]}
\def\beamertemplatetheoremsnumbered{\setbeamertemplate{theorems}[numbered]}
\def\beamertemplatetheoremsamslike{\setbeamertemplate{theorems}[ams style]}
\def\beamertemplatetheoremssimple{\setbeamertemplate{theorems}[normal font]}
\def\beamertemplatenavigationsymbolsempty{\setbeamertemplate{navigation symbols}{}}
\def\beamertemplatenavigationsymbolsframe{\setbeamertemplate{navigation symbols}[only frame symbol]}
\def\beamertemplatenavigationsymbolsvertical{\setbeamertemplate{navigation symbols}[vertical]}
\def\beamertemplatenavigationsymbolshorizontal{\setbeamertemplate{navigation symbols}[horizontal]}
\def\beamertemplatedefaultsectionheads{%
  \setbeamertemplate{section in head/foot}[default]
  \setbeamertemplate{subsection in head/foot}[default]
  \setbeamertemplate{section in head/foot shaded}[default]
  \setbeamertemplate{subsection in head/foot shaded}[default]
}
\def\beamertemplatecircleminiframe{\setbeamertemplate{mini frames}[default]}
\def\beamertemplateticksminiframe{\setbeamertemplate{mini frames}[tick]}
\def\beamertemplateboxminiframe{\setbeamertemplate{mini frames}[box]}
\newcommand\usesidebartemplate[3][left]{%
  \setbeamersize{sidebar width #1=#2}
  \setbeamertemplate{sidebar #1}{#3}
}
\newcommand\beamertemplatesidebarcolor[2][left]{\setbeamercolor{sidebar #1}{bg={#2}}}
\def\beamertemplaterightsidebarlogonavigation{\setbeamertemplate{sidebar right}[default]
  \setbeamersize{sidebar width right=0pt}}
\newcommand{\beamertemplatesidebarverticalshading}[3][left]{%
  \setbeamertemplate{sidebar canvas #1}[vertical shading][top={#3},bottom={#2}]}
\newcommand{\beamertemplatesidebarhorizontalshading}[3][left]{%
  \setbeamertemplate{sidebar canvas #1}[horizontal shading][right={#3},left={#2}]}
\define@key{beamer@margin}{descriptionwidth}{%
  \beamer@descriptionwidth=#1\relax%
}
\define@key{beamer@margin}{descriptionwidthof}{%
  \setbox\beamer@tempbox=\hbox{\def\insertdescriptionitem{#1}\usebeamertemplate**{description item}}%
  \beamer@descriptionwidth=\wd\beamer@tempbox\relax%
}

\mode
<all>
{
  \def\beamersetleftmargin#1{\setbeamersize{text margin left=#1}}
  \def\beamersetrightmargin#1{\setbeamersize{text margin right=#1}}
  \long\def\useframetemplate#1#2{\setbeamertemplate{frame begin}{#1}\setbeamertemplate{frame end}{#2}}
  \def\usebackgroundtemplate{\setbeamertemplate{background canvas}}
  \def\beamertemplatesolidbackgroundcolor#1{\setbeamercolor{normal text}{bg={#1}}}
  \long\def\useblocktemplate#1#2{%
    \setbeamertemplate{block begin}{#1}%
    \setbeamertemplate{block end}{#2}}
  \long\def\usealertblocktemplate#1#2{%
    \setbeamertemplate{block alerted begin}{#1}%
    \setbeamertemplate{block alerted end}{#2}}
  \long\def\useexampleblocktemplate#1#2{%
    \setbeamertemplate{block example begin}{#1}%
    \setbeamertemplate{block example end}{#2}}
  \newcommand{\beamertemplategridbackground}[1][]{\setbeamertemplate{background}[grid][step={#1}]}
  \newcommand{\beamertemplateshadingbackground}[2]{\setbeamertemplate{background canvas}[vertical shading][bottom={#1},top={#2}]}
  \newcommand\usealerttemplate[2]{\setbeamertemplate{alerted text begin}{#1}\setbeamertemplate{alerted text end}{#2}}
  \newcommand\usestructuretemplate[2]{\setbeamertemplate{structure begin}{#1}\setbeamertemplate{structure end}{#2}}
  \newcommand{\beamertemplatebookbibitems}{\setbeamertemplate{bibliography item}[book]}
  \newcommand{\beamertemplatearticlebibitems}{\setbeamertemplate{bibliography item}[article]}
  \newcommand{\beamertemplatetextbibitems}{\setbeamertemplate{bibliography item}[text]}
  \newcommand{\beamertemplatearrowbibitems}{\setbeamertemplate{bibliography item}[triangle]}
  \newcommand{\beamertemplateonlinebibitems}{\setbeamertemplate{bibliography item}[online]}

  \def\beamertemplatetransparentcovereddynamic{\setbeamercovered{highly dynamic}}
  \def\beamertemplatetransparentcovereddynamicmedium{\setbeamercovered{dynamic}}
  \def\beamertemplatetransparentcovered{\setbeamercovered{transparent}}
  \def\beamertemplatetransparentcoveredmedium{\setbeamercovered{transparent=10}}
  \def\beamertemplatetransparentcoveredhigh{\setbeamercovered{transparent=5}}
  \def\beamertemplatetransparentcoveredhighest{\setbeamercovered{transparent=2}}
  \def\beamersetuncovermixins#1#2{\setbeamercovered{still covered={#1},again covered={#2}}}
}

\mode
<all>
