% Copyright 2003--2007 by Till Tantau
% Copyright 2010 by Vedran Mileti\'c
% Copyright 2012--2015 by Vedran Mileti\'c, Joseph Wright
% Copyright 2017,2018 by Louis Stuart, Joseph Wright
% Copyright 2022-2024 by Joseph Wright, samcarter
%
% 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 LICENSE.md for more details.

\mode
<presentation>

%
% Navigation buttons
%

% The following commands are called by the .nav file.
\def\beamer@framepages#1#2{%
  \ifnum\c@page<#1%
  \else%
    \ifnum\c@page>#2%
    \else%
      \gdef\beamer@startpageofframe{#1}%
      \gdef\beamer@endpageofframe{#2}%
    \fi%
  \fi%
}
\def\beamer@subsectionpages#1#2{%
  \ifnum\c@page<#1%
  \else%
    \ifnum\c@page>#2%
    \else%
      \gdef\beamer@startpageofsubsection{#1}%
      \gdef\beamer@endpageofsubsection{#2}%
    \fi%
  \fi%
}
\def\beamer@sectionpages#1#2{%
  \ifnum\c@page<#1%
  \else%
    \ifnum\c@page>#2%
    \else%
      \gdef\beamer@startpageofsection{#1}%
      \gdef\beamer@endpageofsection{#2}%
    \fi%
  \fi%
}
\def\beamer@partpages#1#2{%
  \ifnum\c@page<#1%
  \else%
    \ifnum\c@page>#2%
    \else%
      \gdef\beamer@startpageofpart{#1}%
      \gdef\beamer@endpageofpart{#2}%
    \fi%
  \fi%
}
\def\beamer@nextpage#1{%
  \beamer@tempcount=#1%
  \advance\beamer@tempcount by1\relax%
  \ifnum\beamer@tempcount>\beamer@endpageofdocument%
  \beamer@tempcount=\beamer@endpageofdocument%
  \fi}
\def\beamer@prevpage#1{%
  \beamer@tempcount=#1\relax%
  \ifnum\beamer@tempcount>1%
  \advance\beamer@tempcount by-1%
  \fi%
}

\def\hyperlinkslideprev{%
  \beamer@prevpage\c@page%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkslidenext{%
  \beamer@nextpage\c@page%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkframestart{\hyperlink{Navigation\beamer@startpageofframe}}
\def\hyperlinkframeend{\hyperlink{Navigation\beamer@endpageofframe}}
\def\hyperlinkframestartnext{%
  \beamer@nextpage\beamer@endpageofframe%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkframeendprev{%
  \beamer@prevpage\beamer@startpageofframe%
  \hyperlink{Navigation\the\beamer@tempcount}}

\def\hyperlinksubsectionstart{\hyperlink{Navigation\beamer@startpageofsubsection}}
\def\hyperlinksubsectionend{\hyperlink{Navigation\beamer@endpageofsubsection}}
\def\hyperlinksubsectionstartnext{%
  \beamer@nextpage\beamer@endpageofsubsection%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinksubsectionendprev{%
  \beamer@prevpage\beamer@startpageofsubsection%
  \hyperlink{Navigation\the\beamer@tempcount}}

\def\hyperlinksectionstart{\hyperlink{Navigation\beamer@startpageofsection}}
\def\hyperlinksectionend{\hyperlink{Navigation\beamer@endpageofsection}}
\def\hyperlinksectionstartnext{%
  \beamer@nextpage\beamer@endpageofsection%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinksectionendprev{%
  \beamer@prevpage\beamer@startpageofsection%
  \hyperlink{Navigation\the\beamer@tempcount}}

\def\hyperlinkpartstart{\hyperlink{Navigation\beamer@startpageofpart}}
\def\hyperlinkpartend{\hyperlink{Navigation\beamer@endpageofpart}}
\def\hyperlinkpartstartnext{%
  \beamer@nextpage\beamer@endpageofpart%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkpartendprev{%
  \beamer@prevpage\beamer@startpageofpart%
  \hyperlink{Navigation\the\beamer@tempcount}}

\def\hyperlinkpresentationstart{\hyperlink{Navigation1}}
\def\hyperlinkpresentationend{%
  \ifx\beamer@startpageofappendix\@empty%
  \beamer@tempcount=\beamer@endpageofdocument%
  \else%
  \beamer@prevpage\beamer@startpageofappendix%
  \fi%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkappendixstart{%
  \ifx\beamer@startpageofappendix\@empty%
  \beamer@tempcount=\beamer@endpageofdocument%
  \else%
  \beamer@tempcount=\beamer@startpageofappendix%
  \fi%
  \hyperlink{Navigation\the\beamer@tempcount}}
\def\hyperlinkappendixend{\hyperlink{Navigation\beamer@endpageofdocument}}

\def\hyperlinkdocumentstart{\hyperlink{Navigation1}}
\def\hyperlinkdocumentend{\hyperlink{Navigation\beamer@endpageofdocument}}

\mode
<article>
{
  \newcommand<>\hyperlinkslideprev[1]{}
  \newcommand<>\hyperlinkslidenext[1]{}

  \newcommand<>\hyperlinkframestart[1]{}
  \newcommand<>\hyperlinkframeend[1]{}
  \newcommand<>\hyperlinkframestartnext[1]{}
  \newcommand<>\hyperlinkframeendprev[1]{}

  \newcommand<>\hyperlinksubsectionstart[1]{}
  \newcommand<>\hyperlinksubsectionend[1]{}
  \newcommand<>\hyperlinksubsectionstartnext[1]{}
  \newcommand<>\hyperlinksubsectionendprev[1]{}

  \newcommand<>\hyperlinksectionstart[1]{}
  \newcommand<>\hyperlinksectionend[1]{}
  \newcommand<>\hyperlinksectionstartnext[1]{}
  \newcommand<>\hyperlinksectionendprev[1]{}

  \newcommand<>\hyperlinkpartstart[1]{}
  \newcommand<>\hyperlinkpartend[1]{}
  \newcommand<>\hyperlinkpartstartnext[1]{}
  \newcommand<>\hyperlinkpartendprev[1]{}

  \newcommand<>\hyperlinkpresentationstart[1]{}
  \newcommand<>\hyperlinkpresentationend[1]{}
  \newcommand<>\hyperlinkappendixstart[1]{}
  \newcommand<>\hyperlinkappendixend[1]{}

  \newcommand<>\hyperlinkdocumentstart[1]{}
  \newcommand<>\hyperlinkdocumentend[1]{}
}

\newcommand\insertframestartpage{\beamer@startpageofframe}
\newcommand\insertframeendpage{\beamer@endpageofframe}
\newcommand\insertsubsectionstartpage{\beamer@startpageofsubsection}
\newcommand\insertsubsectionendpage{\beamer@endpageofsubsection}
\newcommand\insertsectionstartpage{\beamer@startpageofsection}
\newcommand\insertsectionendpage{\beamer@endpageofsection}
\newcommand\insertpartstartpage{\beamer@startpageofpart}
\newcommand\insertpartendpage{\beamer@endpageofpart}
\newcommand\insertpresentationstartpage{1}
\newcommand\insertpresentationendpage{{%
  \ifx\beamer@startpageofappendix\@empty%
    \beamer@tempcount=\beamer@endpageofdocument\relax%
  \else%
    \beamer@prevpage\beamer@startpageofappendix\relax%
  \fi%
  \the\beamer@tempcount}}
\newcommand\insertappendixstartpage{{%
  \ifx\beamer@startpageofappendix\@empty%
    \beamer@tempcount=\beamer@endpageofdocument\relax%
  \else%
    \beamer@tempcount=\beamer@startpageofappendix\relax%
  \fi%
  \the\beamer@tempcount}}
\newcommand\insertappendixendpage{\beamer@endpageofdocument}
\newcommand\insertdocumentstartpage{1}
\newcommand\insertdocumentendpage{\beamer@endpageofdocument}


%
% Navigation Button Art
%

\def\beamer@linkspace#1{\vbox to7.5pt{}\kern#1}

% Due to what could be regarded as a bug in hyperref or DVIPDFm and
% derivatives, no links are made to empty boxes with XeTeX. This is
% fixed by drawing some 'real' content, which makes the PDF bigger!
\begingroup\expandafter\expandafter\expandafter\endgroup
  \expandafter\ifx\csname XeTeXrevision\endcsname\relax
  \expandafter\@gobble
\else
  \expandafter\@firstofone
\fi
  {%
    \def\beamer@linkspace#1{%
      \@ifundefined{if@RTL}{%
        \special{dvipdfmx:catch_phantom true height 8pt depth 1.5pt}%
        \vbox to7.5pt{}\kern#1%
      }{%
        \if@RTL%
          \vbox to7.5pt{}\kern#1%
          \special{dvipdfmx:catch_phantom true height 8pt depth 1.5pt}%
        \else%
          \special{dvipdfmx:catch_phantom true height 8pt depth 1.5pt}%
          \vbox to7.5pt{}\kern#1%
        \fi%
      }%
    }%
  }

\input{beamerbasenavigationsymbols}

%
% User Buttons
%

\pgfdefobject{beamergotosymbol}{\pgfpoint{0pt}{-1pt}}{\pgfpoint{5pt}{5pt}}
{
  \pgfpathqmoveto{1.5bp}{0.5bp}
  \pgfpathqlineto{3.5bp}{2bp}
  \pgfpathqlineto{1.5bp}{3.5bp}
  \pgfusepathqfill
}

\def\insertgotosymbol{%
  \begin{pgfpicture}{1pt}{0pt}{6pt}{5pt}
    \pgfuseobject{beamergotosymbol}%
  \end{pgfpicture}}

\pgfdefobject{beamerskipsymbol}{\pgfpoint{0pt}{-1pt}}{\pgfpoint{7pt}{5pt}}
{
  \pgfpathqmoveto{1.5bp}{0.5bp}
  \pgfpathqlineto{3.5bp}{2bp}
  \pgfpathqlineto{1.5bp}{3.5bp}
  \pgfpathqmoveto{3.5bp}{0.5bp}
  \pgfpathqlineto{5.5bp}{2bp}
  \pgfpathqlineto{3.5bp}{3.5bp}
  \pgfusepathqfill
}

\def\insertskipsymbol{%
  \begin{pgfpicture}{1pt}{0pt}{8pt}{5pt}
    \pgfuseobject{beamerskipsymbol}%
  \end{pgfpicture}}


\pgfdefobject{beamerreturnsymbol}{\pgfpoint{0pt}{-1pt}}{\pgfpoint{5pt}{5pt}}
{
  \pgfpathqmoveto{3.5bp}{0.5bp}
  \pgfpathqlineto{1.5bp}{2bp}
  \pgfpathqlineto{3.5bp}{3.5bp}
  \pgfusepathqfill
}

\def\insertreturnsymbol{%
  \begin{pgfpicture}{1pt}{0pt}{6pt}{5pt}
    \pgfuseobject{beamerreturnsymbol}%
  \end{pgfpicture}}


\def\beamerbutton#1{\def\insertbuttontext{#1}\usebeamertemplate**{button}}
\def\beamergotobutton#1{\beamerbutton{\insertgotosymbol#1}}
\def\beamerskipbutton#1{\beamerbutton{\insertskipsymbol#1}}
\def\beamerreturnbutton#1{\beamerbutton{\insertreturnsymbol#1}}

\mode
<article>
{
  \let\beamerbutton=\@firstofone
  \let\beamergotobutton=\beamerbutton
  \let\beamerskipbutton=\beamerbutton
  \let\beamerreturnbutton=\beamerbutton
}


%
% Inserting navigation bars
%

\newdimen\beamer@section@min@dim
\newcommand*{\beamer@section@set@min@width}{%
  \ifdim\wd\beamer@sectionbox>\beamer@section@min@dim
  \else
    \setbox\beamer@sectionbox=\hbox to \beamer@section@min@dim
      {\box\beamer@sectionbox\hfil}%
    \global\beamer@section@min@dim\z@
  \fi
}

\def\insertnavigation#1{%
  \vbox{{%
    \usebeamerfont{section in head/foot}\usebeamercolor[fg]{section in head/foot}%
    \beamer@xpos=0\relax%
    \beamer@ypos=1\relax%
    \beamer@ypos@offset=0\relax%
    \hbox to #1{\hskip.3cm\setbox\beamer@sectionbox=\hbox{\kern1sp}%
      \ht\beamer@sectionbox=1.875ex%
      \dp\beamer@sectionbox=0.75ex%
        \hskip-1.875ex plus-1fill%
        \global\beamer@section@min@dim\z@
        \dohead%
        \beamer@section@set@min@width
      \box\beamer@sectionbox\hfil\hskip.3cm}%
  }}}

\def\sectionentry#1#2#3#4#5{% section number, section title, page
  \beamer@xpos=0\relax%
  \beamer@ypos=1\relax%
  \beamer@ypos@offset=0\relax%
  \ifnum#5=\c@part%
  \beamer@section@set@min@width%
  \box\beamer@sectionbox\hskip1.875ex plus 1fill%
  \setbox\beamer@sectionbox=
  \hbox{\def\insertsectionhead{#2}%
    \def\insertsectionheadnumber{#1}%
    \def\insertpartheadnumber{#5}%
    {%
      \usebeamerfont{section in head/foot}\usebeamercolor[fg]{section in head/foot}%
      \ifnum\c@section=#1%
        \hyperlink{Navigation#3}{{\usebeamertemplate{section in head/foot}}}%
      \else%
        \hyperlink{Navigation#3}{{\usebeamertemplate{section in head/foot shaded}}}%
      \fi}%
  }%
  \ht\beamer@sectionbox=1.875ex%
  \dp\beamer@sectionbox=0.75ex%
  \fi\ignorespaces}

\def\beamer@nav@subsectionstyle#1{\beamer@toc@sprocess\beamer@nav@css\beamer@nav@oss\beamer@nav@ooss#1///}
\beamer@nav@subsectionstyle{show}

\def\beamer@subsectionentry#1#2#3#4#5{}% no effect by default.
\def\beamer@subsubsectionentry#1#2#3#4#5#6{}% no effect by default.

\def\insertverticalnavigation#1{%
  \vbox{%
    \def\sectionentry##1##2##3##4##5{%
      \ifnum##5=\c@part%
      \def\insertsectionhead{##2}%
      \def\insertsectionheadnumber{##1}%
      \def\insertpartheadnumber{##5}%
      \hbox to #1{{%
        \usebeamerfont{section in sidebar}\usebeamercolor[fg]{section in sidebar}%
          \hyperlink{Navigation##3}{%
          \ifnum\c@section=##1%
            \ifnum\c@subsection=0\relax%
              {\usebeamertemplate{section in sidebar}}%
            \else%
              \ifx\beamer@nav@css\beamer@hidetext%
                {\usebeamertemplate{section in sidebar}}%
              \else%
                {\usebeamertemplate{section in sidebar shaded}}%
              \fi%
            \fi%
          \else
            {\usebeamertemplate{section in sidebar shaded}}%
          \fi}}}%
      \beamer@currentsubsection=0\relax\fi}%
    \def\slideentry##1##2##3##4##5##6{}%
    \def\beamer@subsectionentry##1##2##3##4##5{%
      \ifnum##1=\c@part%
      \def\insertpartheadnumber{##1}%
      \def\insertsectionheadnumber{##2}%
      \def\insertsubsectionheadnumber{##3}%
      \def\insertsubsectionhead{##5}%
       \beamer@tocifnothide{\ifnum\c@section=##2\ifnum\c@subsection=##3\beamer@nav@css\else\beamer@nav@oss\fi\else\beamer@nav@ooss\fi}%
      {\hbox{{%
        \usebeamerfont{subsection in sidebar}\usebeamercolor[fg]{subsection in sidebar}%
          \hyperlink{Navigation##4}{%
          \ifnum\c@section=##2%
            \ifnum\c@subsection=##3%
              \ifnum\c@subsubsection=0\relax%
                {\usebeamertemplate{subsection in sidebar}}%
              \else%
                {\usebeamertemplate{subsection in sidebar shaded}}%
              \fi%
            \else%
              {\usebeamertemplate{subsection in sidebar shaded}}%
            \fi%
          \else%
            {\usebeamertemplate{subsection in sidebar shaded}}%
          \fi}}}%
      }%
      \fi}%
    \def\beamer@subsubsectionentry##1##2##3##4##5##6{%
      \ifnum##1=\c@part%
      \def\insertpartheadnumber{##1}%
      \def\insertsectionheadnumber{##2}%
      \def\insertsubsectionheadnumber{##3}%
      \def\insertsubsubsectionheadnumber{##4}%
      \def\insertsubsubsectionhead{##6}%
      \beamer@tocifnothide{\ifnum\c@section=##2\ifnum\c@subsection=##3\ifnum\c@subsubsection=##4\beamer@nav@css\else\beamer@nav@oss\fi\else\beamer@nav@ooss\fi\else\beamer@nav@ooss\fi}%
      {\hbox{{%
        \usebeamerfont{subsubsection in sidebar}\usebeamercolor[fg]{subsubsection in sidebar}%
          \hyperlink{Navigation##5}{%
          \ifnum\c@section=##2%
            \ifnum\c@subsection=##3%
              \ifnum\c@subsubsection=##4%
                {\usebeamertemplate{subsubsection in sidebar}}%
              \else
                {\usebeamertemplate{subsubsection in sidebar shaded}}%
              \fi%
            \else%
              {\usebeamertemplate{subsubsection in sidebar shaded}}%
            \fi%
          \else%
            {\usebeamertemplate{subsubsection in sidebar shaded}}%
          \fi}}}%
      }%
      \fi}%
    %\beamer@currentsubsection=0\relax%
    \dohead%
  }%
}

\def\slideentry#1#2#3#4#5#6{%
  %section number, subsection number, slide number, first/last frame, page number, part number
  \ifnum#6=\c@part\ifnum#1>0\ifnum#3>0%
    \ifbeamer@compress%
      \advance\beamer@xpos by1\relax%
    \else%
      \ifnum#2=0%
        \beamer@ypos@offset=1\relax%
      \fi
      \beamer@xpos=#3\relax%
      \beamer@ypos=#2\relax%
      \advance\beamer@ypos by \beamer@ypos@offset\relax
    \fi%
  \hbox to 0pt{%
    \beamer@tempdim=-\beamer@vboxoffset%
    \advance\beamer@tempdim by-\beamer@boxsize%
    \multiply\beamer@tempdim by\beamer@ypos%
    \advance\beamer@tempdim by -.05cm%
    \raise\beamer@tempdim\hbox{%
      \beamer@tempdim=\beamer@boxsize%
      \multiply\beamer@tempdim by\beamer@xpos%
      \advance\beamer@tempdim by -\beamer@boxsize%
      \advance\beamer@tempdim by 1pt%
      \kern\beamer@tempdim
      \global\beamer@section@min@dim\beamer@tempdim
      \hbox{\beamer@link(#4){%
          \usebeamerfont{mini frame}%
          \ifnum\c@section=#1%
            \ifnum\c@subsection=#2%
              \usebeamercolor[fg]{mini frame}%
              \ifnum\c@subsectionslide=#3%
                \usebeamertemplate{mini frame}%\beamer@minislidehilight%
              \else%
                \usebeamertemplate{mini frame in current subsection}%\beamer@minisliderowhilight%
              \fi%
            \else%
              \usebeamercolor{mini frame}%
              %\color{fg!50!bg}%
              \usebeamertemplate{mini frame in other subsection}%\beamer@minislide%
            \fi%
          \else%
            \usebeamercolor{mini frame}%
            %\color{fg!50!bg}%
            \usebeamertemplate{mini frame in other subsection}%\beamer@minislide%
          \fi%
        }}}\hskip-10cm plus 1fil%
  }\fi\fi%
  \else%
  \fakeslideentry{#1}{#2}{#3}{#4}{#5}{#6}%
  \fi\ignorespaces
  }

\def\fakeslideentry#1#2#3#4#5#6{%
  \ifnum#1>0\ifnum#3>0%
    \ifbeamer@compress%
      \advance\beamer@xpos by1\relax%
    \else%
      \ifnum#2=0%
        \beamer@ypos@offset=1\relax%
      \fi
      \beamer@xpos=#3\relax%
      \beamer@ypos=#2\relax%
      \advance\beamer@ypos by \beamer@ypos@offset\relax
    \fi%
  \hbox to 0pt{\beamer@tempdim=-\beamer@vboxoffset%
    \advance\beamer@tempdim by -\beamer@boxsize%
    \multiply\beamer@tempdim by\beamer@ypos%
    \advance\beamer@tempdim by -.05cm%
    \raise\beamer@tempdim\hbox{}}\fi\fi\ignorespaces}


\def\beamer@link(#1/#2){%
  \def\beamer@goto{{Navigation#1}}% default: first slide of frame
  \ifnum\c@page<#2%
  \ifnum\c@page<#1\else% go to last slide of frame, on all slides of
                                % the frame, except for the last one
  \def\beamer@goto{{Navigation#2}}% jump to last slide of frame
  \fi\fi%
  \expandafter\hyperlink\beamer@goto}

\define@key{beamer@margin}{mini frame size}{\beamer@boxsize=#1}
\define@key{beamer@margin}{mini frame offset}{\beamer@vboxoffset=#1}

\def\insertsectionnavigation#1{%
  \hbox to #1{%
    \vbox{{\usebeamerfont{section in head/foot}\usebeamercolor[fg]{section in head/foot}%
     \vskip0.5625ex%
     \def\slideentry##1##2##3##4##5##6{}%
     \def\sectionentry##1##2##3##4##5{%
       \ifnum##5=\c@part%
       \def\insertsectionhead{##2}%
       \def\insertsectionheadnumber{##1}%
       \def\insertpartheadnumber{##5}%
       \setbox\beamer@tempbox=\hbox{%
         \hyperlink{Navigation##3}{\hbox to #1{%
             \hskip0.3cm%
             \ifnum\c@section=##1%
               {\usebeamertemplate{section in head/foot}}%
             \else%
               {\usebeamertemplate{section in head/foot shaded}}%
             \fi\hskip0.3cm}}}%
       \ht\beamer@tempbox=1.6875ex\dp\beamer@tempbox=0.75ex%
       \box\beamer@tempbox\fi}%
     \dohead\vskip0.5625ex}}\hfil}}

\def\insertsectionnavigationhorizontal#1#2#3{%
  \hbox to #1{{%
     \def\slideentry##1##2##3##4##5##6{}%
     #2\hskip.3cm%
     \usebeamerfont{section in head/foot}\usebeamercolor[fg]{section in head/foot}%
     \setbox\beamer@sectionbox=\hbox{}%
     \ht\beamer@sectionbox=1.875ex%
     \dp\beamer@sectionbox=0.75ex%
     \hskip-1.875ex plus-1fill\dohead%
     \box\beamer@sectionbox\hfil\hskip.3cm%
     #3}}}

\def\insertsubsectionnavigation#1{%
  \hbox to #1{%
    \vbox{{%
      \usebeamerfont{subsection in head/foot}\usebeamercolor[fg]{subsection in head/foot}%
      \vskip0.5625ex%
      \beamer@currentsubsection=0%
      \def\sectionentry##1##2##3##4##5{}%
      \def\slideentry##1##2##3##4##5##6{\ifnum##6=\c@part\ifnum##1=\c@section%
        \ifnum##2>\beamer@currentsubsection%
        \beamer@currentsubsection=##2%
        \def\insertsubsectionhead{##5}%
        \def\insertsectionheadnumber{##1}%
        \def\insertsubsectionheadnumber{##2}%
        \def\insertpartheadnumber{##6}%
        \setbox\beamer@tempbox=\hbox{\beamer@link(##4){%
            \hbox to #1{\hskip0.3cm%
              \ifnum\c@subsection=##2%
                {\usebeamertemplate{subsection in head/foot}}%
              \else%
                {\usebeamertemplate{subsection in head/foot shaded}}%
              \fi\hfil\hskip0.3cm}}}%
        \ht\beamer@tempbox=1.6875ex\dp\beamer@tempbox=0.75ex%
        \box\beamer@tempbox\fi\fi\fi}%
      \dohead\vskip0.5625ex}}\hfil}}

\def\insertsubsectionnavigationhorizontal#1#2#3{%
  \hbox to #1{{%
    \usebeamerfont{subsection in head/foot}\usebeamercolor[fg]{subsection in head/foot}%
    \beamer@currentsubsection=0%
    \def\sectionentry##1##2##3##4##5{}%
    \def\slideentry##1##2##3##4##5##6{\ifnum##6=\c@part\ifnum##1=\c@section%
      \ifnum##2>\beamer@currentsubsection%
      \beamer@currentsubsection=##2%
      \box\beamer@sectionbox\hskip1.875ex plus1fill%
      \setbox\beamer@sectionbox=
      \hbox{\def\insertsubsectionhead{##5}%
         \def\insertsectionheadnumber{##1}%
         \def\insertsubsectionheadnumber{##2}%
         \def\insertpartheadnumber{##6}%
         \ifnum\c@subsection=##2%
        \beamer@link(##4){{\usebeamertemplate{subsection in head/foot}}}\else%
        \beamer@link(##4){{\usebeamertemplate{subsection in head/foot shaded}}}\fi}%
      \ht\beamer@sectionbox=1.875ex%
      \dp\beamer@sectionbox=0.75ex%
      \fi\fi\fi\ignorespaces}%
    #2\hskip.3cm\setbox\beamer@sectionbox=\hbox{}%
    \hskip-1.875ex plus-1fill\dohead%
    \box\beamer@sectionbox\hfil\hskip.3cm%
    #3}}}



%
% Name slides
%

\def\beamer@inserttarget#1{%
  \ifbeamer@inframe%
    \ifvmode%
      \nointerlineskip\vbox to0pt{#1}%
    \else%
      \hbox{#1}%
    \fi%
  \else% defer to next frame
    \expandafter\gdef\expandafter\beamer@framehypertargets\expandafter{\beamer@framehypertargets#1}%
  \fi%
}


\def\beamer@nameslide#1{%
  \addtocontents{snm}{\protect\beamer@slide{#1}{\the\c@page}}%
  \beamer@inserttarget{\hypertarget{#1}{}}}
\def\beamer@dummynameslide{\beamer@inserttarget{}}

\def\beamer@slide#1#2{\expandafter\def\csname beamer@hyperlink#1\endcsname{%
  \hyperlink{Navigation#2}}}

\let\beamer@framehypertargets\@empty

% 
% Page anchors
%

% This code is copied from hyperref, which doesn't activate this part with
% option "implicit = false" set. Things are much simplified as we already
% know that anchors are required and what to use for them.

\def\Hy@EveryPageAnchor{%
  \Hy@DistillerDestFix
  \vbox to 0pt{%
    \kern\voffset
    \kern\topmargin
    \kern-1bp\relax
    \hbox to 0pt{%
      \kern\hoffset
      \kern\ifodd\value{page}%
        \oddsidemargin
      \else
        \evensidemargin
      \fi
      \kern-1bp\relax
      \hyper@@anchor{Navigation\the\c@page}\relax%
      \hyper@@anchor{page.\the\c@page}\relax%
      \hss
      }%
    \vss
  }%
}

\AtBeginShipout{%
  \setbox\AtBeginShipoutBox=\vbox{%
    \offinterlineskip
    \Hy@EveryPageAnchor
    \box\AtBeginShipoutBox
  }%
}

\providecommand*{\Hy@DistillerDestFix}{}

\mode
<all>