% Copyright 2019 by Till Tantau
%
% 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/generic/pgf/licenses/LICENSE for more details.

\ProvidesPackage{pgfpages}[2011/01/05 ver 0.02]

\RequirePackage{pgfcore,calc}

\newcount\pgf@logicalpages
\newcount\pgf@firstshipout
\newcount\pgf@lastshipout
\newcount\pgf@currentshipout
\newcount\pgf@cpn
\newcount\pgf@shipoutnextto
\newdimen\pgfphysicalheight
\newdimen\pgfphysicalwidth

\pgf@shipoutnextto=0\relax
\pgf@logicalpages=0\relax
\pgf@firstshipout=1\relax
\pgf@lastshipout=1\relax
\pgf@currentshipout=1\relax
\pgfphysicalheight=\paperheight
\pgfphysicalwidth=\paperwidth

\newif\ifpgfphysicalpageempty
\newif\ifpgf@holdingphysicalpage

\pgfphysicalpageemptytrue
\pgf@holdingphysicalpagefalse


% Define a layout
%
% #1 = layout name
% #2 = code before options have been set
% #2 = code after options have been set
%
% Example:
%
% \pgfpagesdeclarelayout{resize to}{
%    \pgfpagesphysicalpageoptions{logical pages=1,physical height=\pgfpageoptionheight,physical width=\pgfpageoptionwidth}
%    \pgfpageslogicalpageoptions{1}{resized width=\pgfphysicalwidth,%
%      resized height=\pgfphysicalheight,center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight}}}

\newcommand\pgfpagesdeclarelayout[3]{
  \expandafter\newcommand\csname pgfpages@layoutbefore@#1\endcsname{#2}
  \expandafter\newcommand\csname pgfpages@layout@#1\endcsname{#3}}


% Use a layout
%
% #1 = layout name
% #2 = options
%
% Example:
%
% \pgfpagesuselayout{resize to}[a4paper]

\def\pgfpagesuselayout#1{\pgfutil@ifnextchar[{\pgf@pagelayout{#1}}{\pgf@pagelayout{#1}[]}}
\def\pgf@pagelayout#1[#2]{
  \csname pgfpages@layoutbefore@#1\endcsname
  \setkeys{pgfpagesuselayoutoption}{#2}
  \pgfutil@ifundefined{pgfpages@layout@#1}{
    \PackageError{pgfpages}{Page layout `#1' undefined.}{}
  }
  {
    \csname pgfpages@layout@#1\endcsname
  }
}


% Predefined options

\define@key{pgfpagesuselayoutoption}{physical paper width}%
{\def\pgfpageoptionwidth{#1}}

\define@key{pgfpagesuselayoutoption}{physical paper height}%
{\def\pgfpageoptionheight{#1}}

\define@key{pgfpagesuselayoutoption}{a0paper}[]%
{\def\pgfpageoptionheight{1189mm} \def\pgfpageoptionwidth{841mm}}

\define@key{pgfpagesuselayoutoption}{a1paper}[]%
{\def\pgfpageoptionheight{841mm} \def\pgfpageoptionwidth{594mm}}

\define@key{pgfpagesuselayoutoption}{a2paper}[]%
{\def\pgfpageoptionheight{594mm} \def\pgfpageoptionwidth{420mm}}

\define@key{pgfpagesuselayoutoption}{a3paper}[]%
{\def\pgfpageoptionheight{420mm} \def\pgfpageoptionwidth{297mm}}

\define@key{pgfpagesuselayoutoption}{a4paper}[]%
{\def\pgfpageoptionheight{297mm} \def\pgfpageoptionwidth{210mm}}

\define@key{pgfpagesuselayoutoption}{a5paper}[]%
{\def\pgfpageoptionheight{210mm} \def\pgfpageoptionwidth{148mm}}

\define@key{pgfpagesuselayoutoption}{a6paper}[]%
{\def\pgfpageoptionheight{148mm} \def\pgfpageoptionwidth{105mm}}

\define@key{pgfpagesuselayoutoption}{letterpaper}[]%
{\def\pgfpageoptionheight{11in}  \def\pgfpageoptionwidth{8.5in}}

\define@key{pgfpagesuselayoutoption}{legalpaper}[]%
{\def\pgfpageoptionheight{14in}  \def\pgfpageoptionwidth{8.5in}}

\define@key{pgfpagesuselayoutoption}{executivepaper}[]%
{\def\pgfpageoptionheight{10.5in}\def\pgfpageoptionwidth{7.25in}}

\define@key{pgfpagesuselayoutoption}{landscape}[]%
{
  \let\pgf@temp=\pgfpageoptionwidth
  \let\pgfpageoptionwidth=\pgfpageoptionheight
  \let\pgfpageoptionheight=\pgf@temp
}

\define@key{pgfpagesuselayoutoption}{border shrink}%
{\def\pgfpageoptionborder{#1}}

\define@key{pgfpagesuselayoutoption}{corner width}%
{\def\pgfpageoptioncornerwidth{#1}}

\define@key{pgfpagesuselayoutoption}{odd numbered pages right}[]%
{\def\pgfpageoptionfirstshipout{2}}

\define@key{pgfpagesuselayoutoption}{second right}[]%
{%
  \def\pgfpageoptionfirstcenter{\pgfpoint{.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptionsecondcenter{\pgfpoint{1.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptiontwoheight{\paperheight}%
  \def\pgfpageoptiontwowidth{2\paperwidth}%
}

\define@key{pgfpagesuselayoutoption}{second left}[]%
{%
  \def\pgfpageoptionfirstcenter{\pgfpoint{1.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptionsecondcenter{\pgfpoint{.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptiontwoheight{\paperheight}%
  \def\pgfpageoptiontwowidth{2\paperwidth}%
}

\define@key{pgfpagesuselayoutoption}{second top}[]%
{%
  \def\pgfpageoptionfirstcenter{\pgfpoint{.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptionsecondcenter{\pgfpoint{.5\paperwidth}{1.5\paperheight}}%
  \def\pgfpageoptiontwoheight{2\paperheight}%
  \def\pgfpageoptiontwowidth{\paperwidth}%
}

\define@key{pgfpagesuselayoutoption}{second bottom}[]%
{%
  \def\pgfpageoptionfirstcenter{\pgfpoint{.5\paperwidth}{1.5\paperheight}}%
  \def\pgfpageoptionsecondcenter{\pgfpoint{.5\paperwidth}{.5\paperheight}}%
  \def\pgfpageoptiontwoheight{2\paperheight}%
  \def\pgfpageoptiontwowidth{\paperwidth}%
}



% Predefined layouts

\pgfpagesdeclarelayout{rounded corners}
{
  \def\pgfpageoptioncornerwidth{10pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=1
  }
  \pgfpageslogicalpageoptions{1}
  {%
    center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight},%
    corner width=\pgfpageoptioncornerwidth%
  }%
}

\pgfpagesdeclarelayout{resize to}
{
  \def\pgfpageoptionborder{0pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=1,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth%
  }
  \pgfpageslogicalpageoptions{1}
  {%
    resized width=\pgfphysicalwidth,%
    resized height=\pgfphysicalheight,%
    border shrink=\pgfpageoptionborder,%
    center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight}%
  }%
}

\pgfpagesdeclarelayout{two screens with lagging second}
{}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=2,%
    physical height=\pgfpageoptiontwoheight,%
    physical width=\pgfpageoptiontwowidth,%
    last logical shipout=1,%
  }
  \pgfpageslogicalpageoptions{1}
  {%
    center=\pgfpageoptionfirstcenter,%
  }%
  \pgfpageslogicalpageoptions{2}
  {%
    center=\pgfpageoptionsecondcenter,%
    copy from=1%
  }%
}

\pgfpagesdeclarelayout{two screens with optional second}
{}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=2,%
    physical height=\pgfpageoptiontwoheight,%
    physical width=\pgfpageoptiontwowidth,%
    last logical shipout=1%
  }
  \pgfpageslogicalpageoptions{1}
  {%
    center=\pgfpageoptionfirstcenter,%
  }%
  \pgfpageslogicalpageoptions{2}
  {%
    center=\pgfpageoptionsecondcenter,%
    copy from=2%
  }%
}

\pgfpagesdeclarelayout{2 on 1}
{
  \edef\pgfpageoptionheight{\the\paperwidth} % landscaped by default
  \edef\pgfpageoptionwidth{\the\paperheight}
  \def\pgfpageoptionborder{0pt}
  \def\pgfpageoptionfirstshipout{1}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=2,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth,%
    current logical shipout=\pgfpageoptionfirstshipout%
  }
  \ifdim\paperheight>\paperwidth\relax
    % put side-by-side
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.5\pgfphysicalheight}%
    }%
  \else
    % stack on top of one another
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.5\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.5\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
  \fi    
}


\pgfpagesdeclarelayout{4 on 1}
{
  \edef\pgfpageoptionheight{\the\paperheight} 
  \edef\pgfpageoptionwidth{\the\paperwidth}
  \edef\pgfpageoptionborder{0pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=4,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth%
  }
  \pgfpageslogicalpageoptions{1}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.5\pgfphysicalwidth,%
    resized height=.5\pgfphysicalheight,%
    center=\pgfpoint{.25\pgfphysicalwidth}{.75\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{2}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.5\pgfphysicalwidth,%
    resized height=.5\pgfphysicalheight,%
    center=\pgfpoint{.75\pgfphysicalwidth}{.75\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{3}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.5\pgfphysicalwidth,%
    resized height=.5\pgfphysicalheight,%
    center=\pgfpoint{.25\pgfphysicalwidth}{.25\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{4}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.5\pgfphysicalwidth,%
    resized height=.5\pgfphysicalheight,%
    center=\pgfpoint{.75\pgfphysicalwidth}{.25\pgfphysicalheight}%
  }%
}


\pgfpagesdeclarelayout{6 on 1}
{
  \edef\pgfpageoptionheight{\the\paperwidth} % landscaped by default
  \edef\pgfpageoptionwidth{\the\paperheight}
  \def\pgfpageoptionborder{0pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=6,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth%
  }
  \ifdim\paperheight>\paperwidth\relax
    % put side-by-side
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.167\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.5\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{3}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.833\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{4}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.167\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{5}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.5\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{6}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.833\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
  \else
    % stack on top of one another
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.833\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.833\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{3}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{4}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.5\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{5}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.167\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{6}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.167\pgfphysicalheight}%
    }%
  \fi    
}


\pgfpagesdeclarelayout{8 on 1}
{
  \edef\pgfpageoptionheight{\the\paperwidth} % landscaped by default
  \edef\pgfpageoptionwidth{\the\paperheight}
  \def\pgfpageoptionborder{0pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=8,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth%
  }
  \ifdim\paperheight>\paperwidth\relax
    % put side-by-side
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.125\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.375\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{3}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.625\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{4}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.875\pgfphysicalwidth}{.75\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{5}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.125\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{6}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.375\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{7}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.625\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{8}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.25\pgfphysicalwidth,%
      resized height=.5\pgfphysicalheight,%
      center=\pgfpoint{.875\pgfphysicalwidth}{.25\pgfphysicalheight}%
    }%
  \else
    % stack on top of one another
    \pgfpageslogicalpageoptions{1}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.875\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{2}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.875\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{3}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.625\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{4}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.625\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{5}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.375\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{6}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.375\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{7}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.25\pgfphysicalwidth}{.125\pgfphysicalheight}%
    }%
    \pgfpageslogicalpageoptions{8}
    {%
      border shrink=\pgfpageoptionborder,%
      resized width=.5\pgfphysicalwidth,%
      resized height=.25\pgfphysicalheight,%
      center=\pgfpoint{.75\pgfphysicalwidth}{.125\pgfphysicalheight}%
    }%
  \fi    
}


\pgfpagesdeclarelayout{16 on 1}
{
  \edef\pgfpageoptionheight{\the\paperheight} 
  \edef\pgfpageoptionwidth{\the\paperwidth}
  \edef\pgfpageoptionborder{0pt}
}
{
  \pgfpagesphysicalpageoptions
  {%
    logical pages=16,%
    physical height=\pgfpageoptionheight,%
    physical width=\pgfpageoptionwidth%
  }
  \pgfpageslogicalpageoptions{1}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.125\pgfphysicalwidth}{.875\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{2}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.375\pgfphysicalwidth}{.875\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{3}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.625\pgfphysicalwidth}{.875\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{4}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.875\pgfphysicalwidth}{.875\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{5}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.125\pgfphysicalwidth}{.625\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{6}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.375\pgfphysicalwidth}{.625\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{7}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.625\pgfphysicalwidth}{.625\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{8}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.875\pgfphysicalwidth}{.625\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{9}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.125\pgfphysicalwidth}{.375\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{10}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.375\pgfphysicalwidth}{.375\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{11}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.625\pgfphysicalwidth}{.375\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{12}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.875\pgfphysicalwidth}{.375\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{13}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.125\pgfphysicalwidth}{.125\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{14}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.375\pgfphysicalwidth}{.125\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{15}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.625\pgfphysicalwidth}{.125\pgfphysicalheight}%
  }%
  \pgfpageslogicalpageoptions{16}
  {%
    border shrink=\pgfpageoptionborder,%
    resized width=.25\pgfphysicalwidth,%
    resized height=.25\pgfphysicalheight,%
    center=\pgfpoint{.875\pgfphysicalwidth}{.125\pgfphysicalheight}%
  }%
}


% Change/set main option
%
% #1 = options
%
% Options:
%
% logical pages     = number of logical pages per physical page
% logical shipouts  = number of shipouts needed to fill a physical page
%                     (may be less than the number of logical pages,
%                     if some logical pages are calculated
%                     automatically) 
% current logical shipout = number of logical shipout that will come
%                           next. 
%
% Example:
%
% \pgfpagesphysicalpageoptions{logical pages=2,logical shipouts=1}

\newcommand\pgfpagesphysicalpageoptions[1]{%
  \pgf@lastshipout=0\relax%
  \pgf@currentshipout=0\relax%
  \setkeys{pgfpages@main}{#1}%
  \ifnum\pgf@lastshipout=0\relax%not set
    \pgf@lastshipout=\pgf@logicalpages%
  \fi%  
  \ifnum\pgf@currentshipout=0\relax%not set
    \pgf@currentshipout=\pgf@firstshipout%
  \fi%  
}


\define@key{pgfpages@main}{logical pages}{\pgf@logicalpages=#1\relax}
\define@key{pgfpages@main}{first logical shipout}{\pgf@firstshipout=#1\relax}
\define@key{pgfpages@main}{last logical shipout}{\pgf@lastshipout=#1\relax}
\define@key{pgfpages@main}{current logical shipout}{\pgf@currentshipout=#1\relax}
\define@key{pgfpages@main}{physical height}{\pgfphysicalheight=#1\relax}
\define@key{pgfpages@main}{physical width}{\pgfphysicalwidth=#1\relax}



% Setup/change parameters of a logical page. You must call this
% macro for each logical page.
%
% #1 = logical page number
% #2 = options
%
% Options:
%
% original height = height of the logical page (\paperheight at point of
%                   first invocation by default) 
% original width  = width of the logical page (\paperwidth by default)
% resized height  = height of the logical page after resizing
% resized width   = width of the logical page after resizing
% border shrink   = length that is subtracted from resized height and
%                   resized width
% border code     = pgf commands to be used for drawing a border (a
%                   path with the border set will already have been
%                   set) 
% rounded corners = clip the frame against a rectangle of the size of
%                   the frame with corners of the given radius
% scale           = factor by which the page is enlarged/shrunk 
% center          = center of the logical page in the physical page
% rotation        = degree by which the page is rotated around its center
% xscale          = scale only x-axis (use -1 to flip along y-axis)
% yscale          = scale only y-axis (use -1 to flip along x-axis)
% copy from       = copy the contents from this logical page of the
%                   previous physical page, if no contents is specified 
%
% If more than one of the three options ``resized height'', ``resized
% width'' and ``scale'' are given, the smallest resulting scaling
% wins. 
%
% Example:
%
% \pgfpageslogicalpageoptions{1}{scale=0.5,center=\pgfpoint{0cm}{2cm}}

\newcommand\pgfpageslogicalpageoptions[2]{%
  \pgf@cpn=#1\relax%
  \expandafter\ifx\csname pgfpages@box@#1\endcsname\relax%
    \expandafter\newbox\csname pgfpages@box@#1\endcsname%
    \edef\pgf@temp{%
      \noexpand\pgf@psetcurrent{height}{\the\paperheight}%
      \noexpand\pgf@psetcurrent{width}{\the\paperwidth}%
    }%
    \pgf@temp%
  \fi%
  \setkeys{pgfpages@page}{#2}%
  \pgf@calculateresizes{height}%
  \pgf@calculateresizes{width}%
  \pgfsetupphysicalpagesizes%
}

\def\pgf@epset#1#2#3{\expandafter\edef\csname pgfpages@p@#1@#2\endcsname{#3}}
\def\pgf@epsetcurrent#1#2{\pgf@pset{\the\pgf@cpn}{#1}{#2}}
\def\pgf@pset#1#2#3{\expandafter\def\csname pgfpages@p@#1@#2\endcsname{#3}}
\def\pgf@pget#1#2{\csname pgfpages@p@#1@#2\endcsname}
\def\pgf@psetcurrent#1#2{\pgf@pset{\the\pgf@cpn}{#1}{#2}}
\def\pgf@pgetcurrent#1{\pgf@pget{\the\pgf@cpn}}

\define@key{pgfpages@page}{scale}{\pgf@epsetcurrent{scale}{#1}}
\define@key{pgfpages@page}{xscale}{\pgf@epsetcurrent{xscale}{#1}}
\define@key{pgfpages@page}{yscale}{\pgf@epsetcurrent{yscale}{#1}}
\define@key{pgfpages@page}{original height}{\pgf@epsetcurrent{height}{#1}}
\define@key{pgfpages@page}{original width}{\pgf@epsetcurrent{width}{#1}}
\define@key{pgfpages@page}{resized height}{\pgf@epsetcurrent{reheight}{#1}}
\define@key{pgfpages@page}{resized width}{\pgf@epsetcurrent{rewidth}{#1}}
\define@key{pgfpages@page}{center}{\pgf@psetcurrent{center}{#1}}
\define@key{pgfpages@page}{rotation}{\pgf@epsetcurrent{rotation}{#1}}
\define@key{pgfpages@page}{copy from}{\pgf@epsetcurrent{copy}{#1}}
\define@key{pgfpages@page}{border shrink}{\pgf@epsetcurrent{border}{#1}}
\define@key{pgfpages@page}{border code}{\pgf@psetcurrent{bordercode}{#1}}
\define@key{pgfpages@page}{corner width}{\pgf@psetcurrent{cornerwidth}{#1}}

\def\pgf@calculateresizes#1{%
  \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @re#1\endcsname\relax%
  \else%
    \expandafter\pgfutil@tempdima\csname pgfpages@p@\the\pgf@cpn @re#1\endcsname\relax%
    \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @border\endcsname\relax%
    \else%
      \expandafter\pgfutil@tempdimb\csname pgfpages@p@\the\pgf@cpn @border\endcsname\relax%
      \advance\pgfutil@tempdima by-2\pgfutil@tempdimb\relax%
    \fi%
    \expandafter\pgfutil@tempdimb\csname pgfpages@p@\the\pgf@cpn @#1\endcsname\relax%
    \pgfutil@tempcnta=\pgfutil@tempdimb%
    \divide\pgfutil@tempcnta by 65536\relax%
    \ifnum\pgfutil@tempcnta=0\relax%
      \pgfutil@tempcnta=1\relax%
    \fi%
    \divide\pgfutil@tempdima by\pgfutil@tempcnta\relax%
    \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @scale\endcsname\relax%
      \pgfutil@tempdimb=10000pt%
    \else%
      \expandafter\pgfutil@tempdimb\expandafter=\csname pgfpages@p@\the\pgf@cpn @scale\endcsname pt\relax%
    \fi%
    \ifdim\pgfutil@tempdima<\pgfutil@tempdimb%
      \edef\pgf@temp{{scale}{\expandafter\Pgf@geT\the\pgfutil@tempdima}}%
      \expandafter\pgf@psetcurrent\pgf@temp%
    \fi%
  \fi%
}



% Shipout a physical page immediately
%
% Example:
%
% \pgfshipoutphysicalpage

\newcommand\pgfshipoutphysicalpage{%
  \ifnum\pgf@logicalpages>0\relax%
    \pgfpages@buildshipoutbox%
    \pgfpages@shipoutshipoutbox%
    \pgfpages@performcopying%
    \global\pgfphysicalpageemptytrue%
    \global\pgf@holdingphysicalpagefalse%  
  \fi%
}

\newbox\pgfpages@shipoutbox

\def\pgfpages@buildshipoutbox{%
  \setbox\pgfpages@shipoutbox=\vbox{{%
    \set@typeset@protect%
    \offinterlineskip%
    \pgfsys@beginpicture%
    \pgf@cpn=1\relax%
    \loop%
      \setbox0=\hbox to \csname pgfpages@p@\the\pgf@cpn @width\endcsname{%
        \hskip1in%
        \vbox to \csname pgfpages@p@\the\pgf@cpn @height\endcsname%
          {\vskip1in\offinterlineskip\expandafter\copy\csname
            pgfpages@box@\the\pgf@cpn\endcsname\vss}\hss}%
      \pgfsys@beginscope%
        % Translate lower left corner
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @center\endcsname\relax%
        \else%
          \pgflowlevel{\pgftransformshift{\csname pgfpages@p@\the\pgf@cpn @center\endcsname}}%
        \fi%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @scale\endcsname\relax%
        \else%
          \pgflowlevel{\pgftransformscale{\csname pgfpages@p@\the\pgf@cpn @scale\endcsname}}%
        \fi%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @xscale\endcsname\relax%
        \else%
          \pgflowlevel{\pgftransformxscale{\csname pgfpages@p@\the\pgf@cpn @xscale\endcsname}{1}}%
        \fi%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @yscale\endcsname\relax%
        \else%
          \pgflowlevel{\pgftransformyscale{\csname pgfpages@p@\the\pgf@cpn @yscale\endcsname}}%
        \fi%
        \pgfscope%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @rotation\endcsname\relax%
        \else%
        \pgflowlevel{\pgftransformrotate{\csname
            pgfpages@p@\the\pgf@cpn @rotation\endcsname}}%
        \fi%
        \pgfutil@tempdima=\csname pgfpages@p@\the\pgf@cpn @width\endcsname\relax%
        \pgfutil@tempdimb=\csname pgfpages@p@\the\pgf@cpn @height\endcsname\relax%
        \pgflowlevel{\pgftransformshift{\pgfpoint{-.5\pgfutil@tempdima}{-.5\pgfutil@tempdimb}}}%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @bordercode\endcsname\relax%
        \else%
          \pgfpathmoveto{\pgfpointorigin}%
          \pgfpathlineto{\pgfpoint{\wd0}{0pt}}%
          \pgfpathlineto{\pgfpoint{\wd0}{\ht0}}%
          \pgfpathlineto{\pgfpoint{0pt}{\ht0}}%
          \pgfpathclose%
          {\csname pgfpages@p@\the\pgf@cpn @bordercode\endcsname}%
        \fi%
        \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @cornerwidth\endcsname\relax%
        \else%
          {
            \expandafter\pgfutil@tempdima\csname pgfpages@p@\the\pgf@cpn @cornerwidth\endcsname\relax%
            \color{black}
            \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{\pgfutil@tempdima}{\pgfutil@tempdima}}%
            \pgfpathrectangle{\pgfpoint{0pt}{\ht0-\pgfutil@tempdima}}{\pgfpoint{\pgfutil@tempdima}{\pgfutil@tempdima}}%
            \pgfpathrectangle{\pgfpoint{\wd0-\pgfutil@tempdima}{0pt}}{\pgfpoint{\pgfutil@tempdima}{\pgfutil@tempdima}}%
            \pgfpathrectangle{\pgfpoint{\wd0-\pgfutil@tempdima}{\ht0-\pgfutil@tempdima}}{\pgfpoint{\pgfutil@tempdima}{\pgfutil@tempdima}}%
            \pgfusepath{fill}%
            \pgfpathmoveto{\pgfpoint{0pt}{\pgfutil@tempdima}}
            \pgfpathcurveto{\pgfpoint{0pt}{0.555\pgfutil@tempdima}}{\pgfpoint{.555\pgfutil@tempdima}{0pt}}{\pgfpoint{\pgfutil@tempdima}{0pt}}
            \pgfpathlineto{\pgfpoint{\wd0-\pgfutil@tempdima}{0pt}}
            \pgfpathcurveto{\pgfpoint{\wd0-.555\pgfutil@tempdima}{0pt}}{\pgfpoint{\wd0}{.555\pgfutil@tempdima}}{\pgfpoint{\wd0}{\pgfutil@tempdima}}
            \pgfpathlineto{\pgfpoint{\wd0}{\ht0-\pgfutil@tempdima}}
            \pgfpathcurveto{\pgfpoint{\wd0}{\ht0-.555\pgfutil@tempdima}}{\pgfpoint{\wd0-.555\pgfutil@tempdima}{\ht0}}{\pgfpoint{\wd0-\pgfutil@tempdima}{\ht0}}
            \pgfpathlineto{\pgfpoint{\pgfutil@tempdima}{\ht0}}
            \pgfpathcurveto{\pgfpoint{.555\pgfutil@tempdima}{\ht0}}{\pgfpoint{0pt}{\ht0-.555\pgfutil@tempdima}}{\pgfpoint{0pt}{\ht0-\pgfutil@tempdima}}
            \pgfpathclose
            \pgfusepath{clip}
            \color{white}
            \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{\wd0}{\ht0}}
            \pgfusepath{fill}
          }
        \fi%
        \ht0=0pt%
        \wd0=0pt%
        \dp0=0pt%
        \pgfsys@hbox0%
        \endpgfscope%
      \pgfsys@endscope%
    \ifnum\pgf@cpn<\pgf@logicalpages%
      \advance \pgf@cpn by 1\relax%  
    \repeat%
    \pgfsys@endpicture%
    }}%
}


\def\pgfpages@shipoutshipoutbox{%
  \begingroup
    \let \protect \noexpand
    \@resetactivechars
    \global\let\@@if@newlist\if@newlist
    \global\@newlistfalse
    \@parboxrestore%
    \pgfpages@originalshipout%
    \vbox{\hbox{%
        \pgfsetupphysicalpagesizes%
        \hskip-1in%
        \vbox to \pgfphysicalheight{%
          \vss\box\pgfpages@shipoutbox%
          \vskip1in%
        }}%
      \pgfsetupphysicalpagesizes%
    }%
  \endgroup%
}

\def\pgfpages@performcopying{
  \pgf@cpn=1\relax% copy first
  \loop%
    \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @copy\endcsname\relax
    \else%
      \edef\pgf@temp{\noexpand\global\noexpand\setbox\csname pgfpages@box@%
        \the\pgf@cpn\endcsname=\noexpand\copy\csname pgfpages@box@\csname
        pgfpages@p@\the\pgf@cpn @copy\endcsname\endcsname}%
      \pgf@temp%
    \fi%
  \ifnum\pgf@cpn<\pgf@logicalpages%
    \advance \pgf@cpn by 1\relax%  
  \repeat%
  \pgf@cpn=1\relax% then void
  \loop%
    \expandafter\ifx\csname pgfpages@p@\the\pgf@cpn @copy\endcsname\relax
      \expandafter\global\expandafter\setbox\csname pgfpages@box@\the\pgf@cpn\endcsname=\box\voidb@x%
    \else%
    \fi%
  \ifnum\pgf@cpn<\pgf@logicalpages%
    \advance \pgf@cpn by 1\relax%  
  \repeat%
}



% Save original shipout commands
%
% Example:
%
% \pgfhookintoshipout

\newcommand\pgfhookintoshipout{
  \ifx\CROP@shipout\undefined
    \let\pgfpages@originalshipout=\shipout
    \let\shipout=\pgfpages@interceptshipout
  \else
    \let\pgfpages@originalshipout=\CROP@shipout
    \let\CROP@shipout=\pgfpages@interceptshipout
  \fi
}

\def\pgfpages@interceptshipout{%
  \ifnum\pgf@shipoutnextto>0\relax
    \def\pgf@next{%
      \expandafter\global\expandafter\setbox\csname pgfpages@box@\the\pgf@shipoutnextto\endcsname=\box\voidb@x%
      \afterassignment\pgfpages@shipouttestnext%
      \pgfpagesshipoutlogicalpage{\the\pgf@shipoutnextto}%
    }%
  \else%
    \ifpgf@holdingphysicalpage% shipout physical page now
      {\pgfshipoutphysicalpage}%
    \fi%    
    \ifnum\pgf@logicalpages=0\relax
      \def\pgf@next{\pgfpages@originalshipout}%
    \else%
      \def\pgf@next{%
        \expandafter\global\expandafter\setbox\csname pgfpages@box@\the\pgf@currentshipout\endcsname=\box\voidb@x%
        \afterassignment\pgfpages@shipouttest%
        \pgfpagesshipoutlogicalpage{\the\pgf@currentshipout}%
      }%
    \fi%
  \fi%
  \pgf@next%  
}

\def\pgfpages@shipouttest{%
  \ifvoid\csname pgfpages@box@\the\pgf@currentshipout\endcsname\relax%
    \aftergroup\pgfpages@preparenextshipout%
  \else%
    \pgfpages@preparenextshipout%
  \fi%
}

\def\pgfpages@shipouttestnext{%
  \ifvoid\csname pgfpages@box@\the\pgf@shipoutnextto\endcsname\relax%
    \aftergroup\pgfpages@preparenextshipout%
  \else%
    \pgfpages@preparenextshipout%
  \fi%
}
 
\def\pgfpages@preparenextshipout{%
  \ifnum\pgf@shipoutnextto=0\relax%
    \global\advance\pgf@currentshipout by 1\relax%
  \else%
    \global\pgf@shipoutnextto=0\relax%
  \fi%
  \ifnum\pgf@currentshipout>\pgf@lastshipout\relax%
    \global\pgf@currentshipout=\pgf@firstshipout\relax%
    \global\pgf@holdingphysicalpagetrue%
  \fi%
}



% Shipout a logical page
%
% #1 = logical page number
%
% The command should be followed by a box. This box will become the
% contents of the logical page.
%
% Example:
%
% \pgfpagesshipoutlogicalpage{0}\vbox{Hi!}

\newcommand\pgfpagesshipoutlogicalpage[1]{%
  \global\pgfphysicalpageemptyfalse%
  \expandafter\global\expandafter\setbox\csname pgfpages@box@#1\endcsname=}



% Finish current page and shipout next page to a specific logical page.
%
% #1 = logical page number
%
% When the current page has been typset, it will be become the given
% logical page. This command ``interrupts'' the normal order of
% logical pages.
%
% Example:
%
% \pgfpagesuselayout{two screens with optional second}
%
% Text for main page.\clearpage
%
% \pgfpagescurrentpagewillbelogicalpage{2}
%
% Text that goes to second page
%
% \clearpage
%
% Text for main page.

\newcommand\pgfpagescurrentpagewillbelogicalpage[1]{%
  \global\pgf@shipoutnextto=#1\relax%
}


% Setup the physical page sizes
%
% Example:
%
% \pgfsetupphysicalpagesizes

\newcommand\pgfsetupphysicalpagesizes{%
  \pgfsys@global@papersize{\the\pgfphysicalwidth}{\the\pgfphysicalheight}%
}


%
% Start/End setup
%
\pgfhookintoshipout

\AtEndDocument
{
  \clearpage
  \ifpgfphysicalpageempty
  \else
    \pgfshipoutphysicalpage
  \fi
}

