cryptocode.sty

 %% Copyright 2018 Arno Mittelbach
  %
  % This work may be distributed and/or modified under the
  % conditions of the LaTeX Project Public License, either version 1.3
  % of this license or (at your option) any later version.
  % The latest version of this license is in
  %   http://www.latex-project.org/lppl.txt
  % and version 1.3 or later is part of all distributions of LaTeX
  % version 2005/12/01 or later.
  %
  % This work has the LPPL maintenance status `maintained'.
  %
  % The Current Maintainer of this work is Arno Mittelbach.
  %
  % This work consists of the files cryptocode.tex and cryptocode.sty
  %
  % Changelog
  %
  % 2016/11/30
  % - changed \pckeystyle to ensure that subscripts on \sk and \pk are aligned the same
  %   before, $(\sk_R, \pk_R)$ had slightly misaligned subscripts due to Tex treating
  %   subscripts on composite objects with descenders differently than without.
  %   see https://groups.google.com/forum/#!msg/comp.text.tex/IaXu_xBG06Q/CibRPH5GCAAJ
  % - added \NAND
  % - added pcmbox environment for matrices in pseudocode
  %
  % 2016/12/02
  % - changed minheight for bbrbox environment to actually reflect a minimum height in tikz
  %   the old minheight which added space at the bottom was preserved as addheight
  % - added namepos middle for bbrbox
  % - added pcfail
  % - added valign to pseudocode to allow minipage vertical alignment
  % - added \setgameproceduredefaultstyle
  % - ensure line numbers are right aligned to allow for two digit linenumbers having the same width
  %
  % 2017/08/26
  % - added \pcabort
  % - better control whitespace for \pcif, \pcelse, \pcelseif
  %
  % 2017/10/02
  % - side and oside support to \bbroracleqryto and \bbroracleqryfrom
  % - add bottom to namepos in bbrbox
  % - names for brrinput and bbroutput
  % - angle for bbrloop
  % - fix length for bbrinput
  % - introduce hoffset for bbrinput
  %
  % 2017/12/21
  % - added \pcunless
  %
  % 2018/11/11
  % replace obsolete l3regex
  %
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{cryptocode}
  [2018/11/11 v0.3.0 Cryptocode LaTeX package for typesetting pseudocode, algorithms and protocols as well as cryptographic proofs.]


\def\hi{Hello, this is cryptocode.}
\let\myDate\date

\RequirePackage{amsmath}
\RequirePackage{mathtools}
%\usepackage{l3tl-analysis} % uncomment for debugging

%%%
% option modes
\newif\ifpc@orderofgrowth
\newif\ifpc@algorithmstyle
\newif\ifpc@amsfonts
\newif\ifpc@advantage
\newif\ifpc@primitives

%%%
%
\DeclareOption{operators}{
	\providecommand{\sample}{\hskip2.3pt{\gets\!\!\mbox{\tiny${\$}$\normalsize}}\,}

	\providecommand{\floor}[1]{\ensuremath{\left\lfloor #1\right\rfloor}}
	\providecommand{\ceil}[1]{\ensuremath{\left\lceil #1\right\rceil}}
	\providecommand{\Angle}[1]{\ensuremath{\left\langle #1\right\rangle}}
	\providecommand{\abs}[1]{\ensuremath{\left\lvert #1 \right\rvert}}
	\providecommand{\norm}[1]{\ensuremath{\left\|#1\right\|}}
	\providecommand{\concat}{\ensuremath{\|}}

	\providecommand{\emptystring}{\ensuremath{\varepsilon}}
}

\DeclareOption{adversary}{
	\providecommand{\pcadvstyle}[1]{\mathcal{#1}}

	\providecommand{\adv}{\ensuremath{\pcadvstyle{A}}}
	\providecommand{\bdv}{\ensuremath{\pcadvstyle{B}}}
	\providecommand{\cdv}{\ensuremath{\pcadvstyle{C}}}
	\providecommand{\ddv}{\ensuremath{\pcadvstyle{D}}}
	\providecommand{\mdv}{\ensuremath{\pcadvstyle{M}}}
	\providecommand{\pdv}{\ensuremath{\pcadvstyle{P}}}
	\providecommand{\rdv}{\ensuremath{\pcadvstyle{R}}}
	\providecommand{\sdv}{\ensuremath{\pcadvstyle{S}}}
}

\DeclareOption{landau}{
	\pc@orderofgrowthtrue

	\providecommand{\bigO}[1]{\ensuremath{\mathcal{O}\olrk{#1}}}
        \providecommand{\smallO}[1]{\ensuremath{\text{o}\olrk{#1}}}
        \providecommand{\bigOmega}[1]{\ensuremath{\Omega\olrk{#1}}}
        \providecommand{\smallOmega}[1]{\ensuremath{\omega\olrk{#1}}}
        \providecommand{\bigsmallO}[1]{\ensuremath{\Theta\olrk{#1}}}
}

\DeclareOption{probability}{
	\pc@orderofgrowthtrue
	\pc@amsfontstrue

	\providecommand{\probname}{Pr}
	\providecommand{\expectationname}{\ensuremath{\mathbb{E}}}
	\providecommand{\supportname}{Supp}

	\providecommand{\prob}[1]{\ensuremath{\operatorname{\probname}\elrk{#1}}}
	\providecommand{\probsub}[2]{\ensuremath{\operatorname{\probname}_{#1}\elrk{#2}}}
	\providecommand{\condprob}[2]{\ensuremath{\prob{#1\,\left|\,#2\vphantom{#1}\right.}}}
	\providecommand{\condprobsub}[3]{\ensuremath{\probsub{#1}{#2\,\left|\,#3\vphantom{#1}\right.}}}

	\providecommand{\expect}[1]{\ensuremath{\operatorname{\expectationname}\elrk{#1}}}
	\providecommand{\expsub}[2]{\ensuremath{\operatorname{\expectationname}_{#1}\elrk{#2}}}
	\providecommand{\condexp}[2]{\ensuremath{\expect{#1\,\left|\,#2\vphantom{#1}\right.}}}
	\providecommand{\condexpsub}[3]{\ensuremath{\expsub{#1}{#2\,\left|\,#3\vphantom{#1}\right.}}}

	\providecommand{\supp}[1]{  \ensuremath{\operatorname{Supp}\olrk{#1}}}

	\providecommand{\entropy}[1]{\ensuremath{\operatorname{H}\olrk{#1}}}
   	\providecommand{\condentropy}[2]{\ensuremath{\operatorname{H}\olrk{#1\,\left|\,#2\vphantom{#1}\right.}}}
	\providecommand{\minentropy}[1]{\ensuremath{\operatorname{H_\infty}\olrk{#1}}}
    	\providecommand{\condminentropy}[2]{\ensuremath{\operatorname{H_\infty}\olrk{#1\,\left|\,#2\vphantom{#1}\right.}}}
    	\providecommand{\condavgminentropy}[2]{\ensuremath{\operatorname{\tilde{H}_\infty}\olrk{#1\,\left|\,#2\vphantom{#1}\right.}}}
}

\DeclareOption{sets}{
        \pc@orderofgrowthtrue
        \pc@amsfontstrue

        \providecommand\NN{\mathbb{N}}
        \providecommand\ZZ{\mathbb{Z}}
        \providecommand\CC{\mathbb{C}}
        \providecommand\QQ{\mathbb{Q}}
        \providecommand\RR{\mathbb{R}}
        \providecommand\PP{\mathbb{P}}
        \providecommand\FF{\mathbb{F}}
        \providecommand\GG{\mathbb{G}}

        \providecommand{\set}[1]{\ensuremath{\clrk{#1}}}
	\providecommand{\sequence}[1]{\ensuremath{\olrk{#1}}}
	\providecommand{\bin}{\ensuremath{\{0,1\}}}
}

\DeclareOption{noamsfonts}{
	\pc@amsfontsfalse
}


\DeclareOption{notions}{
	\providecommand{\pcnotionstyle}[1]{\ensuremath{\mathrm{#1}}}

	\providecommand{\indcpa}{\pcnotionstyle{IND\pcmathhyphen{}CPA}}
	\providecommand{\indcca}{\pcnotionstyle{IND\pcmathhyphen{}CCA}}
	\providecommand{\indccai}{\pcnotionstyle{IND\pcmathhyphen{}CCA1}}
	\providecommand{\indccaii}{\pcnotionstyle{IND\pcmathhyphen{}CCA2}}
	\providecommand{\priv}{\pcnotionstyle{PRIV}}
	\providecommand{\ind}{\pcnotionstyle{IND}}
	\providecommand{\indcda}{\pcnotionstyle{IND\pcmathhyphen{}CDA}}
	\providecommand{\prvcda}{\pcnotionstyle{PRV\pcmathhyphen{}CDA}}
	\providecommand{\prvrcda}{\pcnotionstyle{PRV\$\pcmathhyphen{}CDA}}
	\providecommand{\kiae}{\pcnotionstyle{KIAE}}
	\providecommand{\kdae}{\pcnotionstyle{KDAE}}
	\providecommand{\mle}{\pcnotionstyle{MLE}}
	\providecommand{\uce}{\pcnotionstyle{UCE}}
}

\DeclareOption{logic}{
        \providecommand{\AND}{\ensuremath{\mathrm{AND}}}
        \providecommand{\OR}{\ensuremath{\mathrm{OR}}}
        \providecommand{\NOR}{\ensuremath{\mathrm{NOR}}}
        \providecommand{\NOT}{\ensuremath{\mathrm{NOT}}}
        \providecommand{\NAND}{\ensuremath{\mathrm{NAND}}}
		\providecommand{\XOR}{\ensuremath{\mathrm{XOR}}}
		\providecommand{\XNOR}{\ensuremath{\mathrm{XNOR}}}
		\providecommand{\xor}{\ensuremath{\oplus}}
        \providecommand{\false}{\mathsf{false}}
        \providecommand{\true}{\mathsf{true}}
}


% Function Families
\DeclareOption{ff}{
	\pc@algorithmstyletrue

	\providecommand{\kgen}{\pcalgostyle{KGen}}
	\providecommand{\pgen}{\pcalgostyle{Pgen}}
	\providecommand{\eval}{\pcalgostyle{Eval}}
	\providecommand{\invert}{\pcalgostyle{Inv}}

	\providecommand{\il}{\pcalgostyle{il}}
	\providecommand{\ol}{\pcalgostyle{ol}}
	\providecommand{\kl}{\pcalgostyle{kl}}
	\providecommand{\nl}{\pcalgostyle{nl}}
	\providecommand{\rl}{\pcalgostyle{rl}}
}

% Machine Model
\DeclareOption{mm}{
	\pc@algorithmstyletrue

	\providecommand{\pcmachinemodelstyle}[1]{\ensuremath{\mathsf{#1}}}

        \providecommand{\CRKT}{\pcmachinemodelstyle{C}}
        \providecommand{\TM}{\pcmachinemodelstyle{M}}
        \providecommand{\PROG}{\pcmachinemodelstyle{P}}

        \providecommand{\uTM}{\pcmachinemodelstyle{UM}}
        \providecommand{\uC}{\pcmachinemodelstyle{UC}}
        \providecommand{\uP}{\pcmachinemodelstyle{UEval}}

        \providecommand{\csize}{\pcmachinemodelstyle{size}}
        \providecommand{\tmtime}{\pcmachinemodelstyle{time}}
        \providecommand{\ppt}{\pcalgostyle{PPT}}
}

\DeclareOption{advantage}{
	\pc@advantagetrue
}

\DeclareOption{primitives}{
	\pc@primitivestrue
	\pc@algorithmstyletrue
}

\DeclareOption{events}{
	\providecommand{\event}[1]{\ensuremath{\mathsf{#1}}}
	\providecommand{\nevent}[1]{\ensuremath{\overline{\event{#1}}}}

	\providecommand{\bad}{\ensuremath{\event{bad}}}
}

\DeclareOption{complexity}{
	\providecommand{\pccomplexitystyle}[1]{\ensuremath{\mathsf{#1}}}

	\providecommand{\npol}{\pccomplexitystyle{NP}}
	\providecommand{\conpol}{\ensuremath{\mathsf{co}}\pccomplexitystyle{NP}}
	\providecommand{\pol}{\pccomplexitystyle{P}}
	\providecommand{\bpp}{\pccomplexitystyle{BPP}}
	\providecommand{\ppoly}{\ensuremath{\pol/\mathrm{poly}}}

	\providecommand{\AM}{\pccomplexitystyle{AM}}
	\providecommand{\coAM}{\ensuremath{\mathsf{co}}\pccomplexitystyle{AM}}

	\providecommand{\AC}[1]{\ensuremath{\ifthenelse{\equal{#1}{}}{\pccomplexitystyle{AC}}{\pccomplexitystyle{AC}^{#1}}}}
	\providecommand{\NC}[1]{\ensuremath{\ifthenelse{\equal{#1}{}}{\pccomplexitystyle{NC}}{\pccomplexitystyle{NC}^{#1}}}}
	\providecommand{\TC}[1]{\ensuremath{\ifthenelse{\equal{#1}{}}{\pccomplexitystyle{TC}}{\pccomplexitystyle{TC}^{#1}}}}
}

\DeclareOption{asymptotics}{
	\pc@orderofgrowthtrue

	\providecommand{\pcpolynomialstyle}[1]{\mathsf{#1}}

	\providecommand{\negl}[1][\secpar]{\ensuremath{\pcpolynomialstyle{negl}\ifthenelse{\equal{#1}{}}{}{\olrk{#1}}}}
  	\providecommand{\poly}[1][\secpar]{\ensuremath{\pcpolynomialstyle{poly}\ifthenelse{\equal{#1}{}}{}{\olrk{#1}}}}

	\providecommand{\pp}{\ensuremath{\pcpolynomialstyle{p}}}
	\providecommand{\qq}{\ensuremath{\pcpolynomialstyle{q}}}
}

\DeclareOption{keys}{
            \providecommand{\pckeystyle}[1]{\ensuremath{\mathsf{\protect\vphantom{p}#1}}}

            \providecommand{\pk}{\pckeystyle{pk}}
            \providecommand{\vk}{\pckeystyle{vk}}
            \providecommand{\sk}{\pckeystyle{sk}}
            \providecommand{\key}{\pckeystyle{k}}
            \providecommand{\hk}{\pckeystyle{hk}}
            \providecommand{\gk}{\pckeystyle{gk}}
            \providecommand{\fk}{\pckeystyle{fk}}

            \providecommand{\st}{\pckeystyle{st}}
            \providecommand{\state}{\pckeystyle{state}}
}

\DeclareOption{n}{
	\providecommand{\secpar}{\ensuremath{n}}
	\providecommand{\secparam}{\ensuremath{1^\secpar}}
}

\DeclareOption{lambda}{
	\renewcommand{\secpar}{\ensuremath{\lambda}}
	\renewcommand{\secparam}{\ensuremath{1^\secpar}}
}

\DeclareOption*{%
	\PackageError{crypto code}{Unknown option ‘\CurrentOption’}%
}

\ExecuteOptions{n}

\ProcessOptions\relax

\RequirePackage{etex}

%amsfonts
\ifpc@amsfonts
	\RequirePackage{amsfonts}
\fi
\RequirePackage{xcolor}
\RequirePackage{calc}
\RequirePackage{tikz}
\usetikzlibrary{positioning,calc}
\RequirePackage{ifthen}
\RequirePackage{xargs}
\RequirePackage{pgf}
%\RequirePackage{mathabx}
\RequirePackage{forloop}
\RequirePackage{array}
\RequirePackage{xparse}
\RequirePackage{expl3}
\RequirePackage{pbox}
\RequirePackage{varwidth}
\RequirePackage{suffix}
\RequirePackage{etoolbox}
\RequirePackage{environ}
%\RequirePackage{xspace}
\RequirePackage{xkeyval}

\ifpc@advantage
	\newcommand{\pcadvantagesuperstyle}[1]{\mathrm{\MakeLowercase{#1}}}
	\newcommand{\pcadvantagesubstyle}[1]{#1}
	\newcommandx*{\advantage}[3][3=(\secpar)]{\ensuremath{\mathsf{Adv}^{\pcadvantagesuperstyle{#1}}_{\pcadvantagesubstyle{#2}}#3}}
\fi

\ifpc@primitives
	% zero knowledge
	\providecommand{\prover}{\pcalgostyle{P}}
	\providecommand{\verifier}{\pcalgostyle{V}}
	\providecommand{\nizk}{\pcalgostyle{NIZK}}

	% hash
	\providecommand{\hash}{\pcalgostyle{H}}
	\providecommand{\gash}{\pcalgostyle{G}}
	\providecommand{\fash}{\pcalgostyle{F}}

	% encryption
	\providecommand{\enc}{\pcalgostyle{Enc}}
	\providecommand{\dec}{\pcalgostyle{Dec}}

	% signatures
	\providecommand{\sig}{\pcalgostyle{Sig}}
	\providecommand{\verify}{\pcalgostyle{Vf}}

	% obfuscation
	\providecommand{\obf}{\pcalgostyle{O}}
	\providecommand{\iO}{\pcalgostyle{iO}}
	\providecommand{\diO}{\pcalgostyle{diO}}

	% PRF, PRG
	\providecommand{\prf}{\pcalgostyle{PRF}}
	\providecommand{\prg}{\pcalgostyle{PRG}}

	% Mac
	\providecommand{\mac}{\pcalgostyle{MAC}}

	% puncture
	\providecommand{\puncture}{\pcalgostyle{Puncture}}

	% Misc
	\providecommand{\source}{\pcalgostyle{S}}
	\providecommand{\predictor}{\pcalgostyle{P}}
	\providecommand{\sam}{\pcalgostyle{Sam}}
	\providecommand{\dist}{\pcalgostyle{D}}
	\providecommand{\distinguisher}{\pcalgostyle{Dist}}
	\providecommand{\simulator}{\pcalgostyle{Sim}}
	\providecommand{\ext}{\pcalgostyle{Ext}}
	\providecommand{\extractor}{\ext}
\fi

%%
% math hyphen
\mathchardef\pcmathhyphen ="2D

%%%
% order of growth helper
\ifpc@orderofgrowth
\providecommand{\olrk}[1]{\ifx\nursymbol#1\else\!\!\mskip4.5mu plus 0.5mu\left(\mskip0.5mu plus0.5mu #1\mskip1.5mu plus0.5mu \right)\fi}

\providecommand{\elrk}[1]{\ifx\nursymbol#1\else\!\!\mskip4.5mu plus0.5mu\left[\mskip0.5mu plus0.5mu #1\mskip1.5mu plus0.5mu \right]\fi}

\providecommand{\clrk}[1]{\ifx\nursymbol#1\else\!\!\mskip4.5mu plus0.5mu\left\{\mskip0.5mu plus0.5mu #1\mskip1.5mu plus0.5mu \right\}\fi}
\fi

\ifpc@algorithmstyle
	\providecommand{\pcalgostyle}[1]{\ensuremath{\mathsf{#1}}}
\fi

%%%
% create command to measure width of align
%
\newcommand{\@settowidthofalign}[2]{%
  \setbox\z@=\vbox{\@pseudocodecodesize
    \begin{flalign*}
    #2
    \ifmeasuring@\else\global\let\got@maxcolwd\maxcolumn@widths\fi
    \end{flalign*}
  }%
  \begingroup
  \def\or{+}\edef\x{\endgroup#1=\dimexpr\got@maxcolwd\relax}\x}

\newcommand{\@settowidthofaligned}[2]{%
\settowidth{#1}{\@pseudocodesubcodesize$\begin{aligned}#2\end{aligned}$}}

% check for draft mode
\def\@pc@ifdraft{\ifdim\overfullrule>\z@
  \expandafter\@firstoftwo\else\expandafter\@secondoftwo\fi}

% run stuff in an empty box
\newcommand{\@pcexecuteblindly}[1]{%
 \setbox\z@=\vbox{#1 }}

% copy label command
\AtBeginDocument{
	\let\pc@original@label\ltx@label
}


%%%%%%
\newcommand*{\@pc@globaladdtolength}[2]{%
\addtolength{#1}{#2}%
\global#1=#1\relax}

\newcommand*{\@pc@globalsetlength}[2]{%
\setlength{#1}{#2}%
\global#1=#1\relax}



%%%%%
% spaces before and after pseudo codes (left and right)
\providecommand{\beforepcskip}{2pt}
\providecommand{\afterpcskip}{0pt}

%%%
% a global counter of the number of times the pseudocode command was triggered
\newcounter{@pc@global@pc@cnt}
\newcounter{@pc@global@pc@nestcnt}

%%%
% Fix hyperref package.. gnarl http://tex.stackexchange.com/questions/130319/incompatibility-between-etoolbox-and-hyperref
\providecommand{\pcfixhyperref}{
\global\let\textlabel\label
\global\let\pc@original@label\textlabel
%\global\let\pc@original@label\relax
%\global\let\label\relax
}

\newcounter{@spacecounter}
\providecommand{\spacetoindent}{1}
\newenvironment{@withspaces}
 {\obeyspaces\begingroup\lccode`~=` \lowercase{\endgroup\let~}\ }
 {}

%%%%%%%%%%%%%%
% a latex3 string substitution.
\ExplSyntaxOn
\tl_new:N \l_pc_strsub_input_tl
\tl_new:N \l_pc_strsub_search_tl
\tl_new:N \l_pc_strsub_replace_tl

\NewDocumentCommand{\@pc@stringsubstitution}{mmm}
 {
  \tl_set:Nn \l_pc_strsub_input_tl { #1 }
  \tl_set:Nn \l_pc_strsub_search_tl { #2 }
  \tl_set:Nn \l_pc_strsub_replace_tl { #3 }
%  \tl_show_analysis:N  \l_pc_strsub_input_tl % uncomment for debugging
%  \tl_show_analysis:N  \l_pc_strsub_search_tl % uncomment for debugging
%  \tl_show_analysis:N  \l_pc_strsub_replace_tl % uncomment for debugging
   \regex_replace_all:nnN
      { (\W)\u{l_pc_strsub_search_tl} } %only match if keyword does not have a word character preceding
      { \1\u{l_pc_strsub_replace_tl} }
      \l_pc_strsub_input_tl
      %  \tl_show_analysis:N \l_tmpa_tl % uncomment for debugging
      \tl_use:N \l_pc_strsub_input_tl
 }

 % same as \@pc@stringsubstitution but without requiring the extra non word character
 \NewDocumentCommand{\@pc@spacesubstitution}{mmm}
 {
  \tl_set:Nn \l_pc_strsub_input_tl { #1 }
  \tl_set:Nn \l_pc_strsub_search_tl { #2 }
  \tl_set:Nn \l_pc_strsub_replace_tl { #3 }
%  \tl_show_analysis:N  \l_pc_strsub_input_tl % uncomment for debugging
%  \tl_show_analysis:N  \l_pc_strsub_search_tl % uncomment for debugging
%  \tl_show_analysis:N  \l_pc_strsub_replace_tl % uncomment for debugging
   \regex_replace_all:nnN
      { \u{l_pc_strsub_search_tl} }
      { \u{l_pc_strsub_replace_tl} }
      \l_pc_strsub_input_tl
      %  \tl_show_analysis:N \l_tmpa_tl % uncomment for debugging
      \tl_use:N \l_pc_strsub_input_tl
 }

\NewDocumentCommand{\@pc@centercolifnec}{m}%
{%
#1%
}



\ExplSyntaxOff

%%%%%%%%
% line numbers
%%%%%%%%
% The following commands handle line numbering within the pseudocode command. The
% pseudocode command itself does need to do some counter magic
\newcounter{pclinenumber}
\newcounter{Hpclinenumber} % make hyperref happy
\newcounter{@pclinenumber}
\newcounter{H@pclinenumber} % make hyperref happy
\newcounter{@pclinenumbertmp}
\newcounter{pcgamecounter}
\newcounter{Hpcgamecounter}
\newcounter{pcrlinenumber}
\newcounter{Hpcrlinenumber}
\newcounter{@pcrlinenumbertmp}

% separators
\providecommand{\pclnseparator}{:}
\providecommand{\pcrlnseparator}{\hspace{1pt}}

% spacing for linenumbers
\providecommand{\pclnspace}{0pt}
\providecommand{\pclnrspace}{5pt}

\renewcommand{\the@pclinenumber}{\thepclinenumber}
\providecommand{\@pcln}{%
\refstepcounter{@pclinenumber}%
\stepcounter{H@pclinenumber}%
}

% left align line numbers
\providecommand{\pcln}[1][]{%
\refstepcounter{pclinenumber}%
\stepcounter{Hpclinenumber}%
\ifthenelse{\equal{#1}{}}{}{%
%keep hyperref happy
\ifmeasuring@\else\pc@original@label{#1}\fi%
}%
\ifthenelse{\value{pclinenumber}<10}{\hspace{1ex}}{}%
\hspace{\pclnspace}\text{\scriptsize\arabic{pclinenumber}}\pclnseparator\quad}%

% allow to skip numbering single lines if linenumbering=on
\providecommand{\pcnoln}{%
}

% right align line numbers (same counter)
\providecommand{\pclnr}{%
\refstepcounter{pclinenumber}%
\quad\text{\scriptsize\pcrlnseparator\arabic{pclinenumber}}\hspace{5pt}}

% right align line numbers different counter
\providecommand{\pcrln}{
\refstepcounter{pcrlinenumber}%
\stepcounter{Hpcrlinenumber}%
\text{\scriptsize\pcrlnseparator\arabic{pcrlinenumber}}\hspace{\pclnrspace}}


%%%
% indentation
\newlength{\@pcindentwidth}
\providecommand{\pcind}[1][1]{%
\setlength{\@pcindentwidth}{\widthof{\ensuremath{\quad}}*#1}%
\ensuremath{\mathmakebox[\@pcindentwidth]{}}}


% create length
\newlength{\@pc@minipage@length}
\newlength{\@pc@alt@minipage@length}

% backward games
\newcommand{\@withingame}{false}
\newcommand{\@withinbxgame}{false}
\newcommand{\@bxgameheader}{}
\newcommand{\@withingamedescription}{false}


%%%%%%%%%%%%
% The pseudocode Command
%%%%%
\newlength{\@pc@length@tmp@width@vstack}


\newcommand{\@pc@beginnewline}{%
\@pseudocodecodeatbeginline\@pseudocodelinenumber\@pc@and\@pcln%
%checkspace
\ifthenelse{\equal{\@pseudocodespace}{auto}}%
{\expandafter\pcind\expandafter[\value{@pc@indentationlevel}]}%
{}%
%reset column counter
\setcounter{pccolumncounter}{2}%
%beginmode
\@pc@modebegin}
\newcommand{\@pc@and}{&}
\newcommand{\@pc@and@wrap@end}{\@pc@modeend&\@pseudocodecodeatendline}
\newcommand{\@pc@and@wrap@start}{\@pc@beginnewline}
\newcommand{\pctabname}{>}
\newcommand{\pcdbltabname}{<}
\newcommand{\pcindentname}{t}



\newcommand*\@pseudocodehead{}
\newcommand*\@pseudocodewidth{}
\newcommand*\@pseudocodexshift{0pt}
\newcommand*\@pseudocodeyshift{0pt}
\newcommand*\@pseudocodelinenumber{}
\newcommand*\@pseudocodebeforeskip{0ex}
\newcommand*\@pseudocodeafterskip{0ex}
\newcommand*\@pseudocodelnstart{0}
\newcommand*\@pseudocodelnstartright{0}
\newcommand*\@pseudocodesyntaxhighlighting{}
\newcommand*\@pseudocodenodraft{false}
\newcommand*\@pseudocodecolspace{} % empty per default, use length,

\newcommand*\@pseudocodeheadlinesep{0em}
\newcommand*\@pseudocodebodylinesep{-0.5\baselineskip}

\newcommand*\@pseudocodecolsep{0em}
\newcommand*\@pseudocodeaddtolength{2pt}

\newcommand*\@pseudocodecodeatbeginline{}
\newcommand*\@pseudocodecodeatendline{}
\newcommand*\@pseudocodecodejot{0em}
\newcommand*\@pseudocodecodesize{\small}
\newcommand*\@pseudocodesubcodesize{\footnotesize}

\newcommand*\@pseudocodeminipagealign{t}

%%%%%%%%%%%%%%
% Define keywords for the automatic syntax highlighting
% the accompanying add provides additional keywords.
% The space version for automatic spacing
\newcommand*\@pseudocodekeywordsindent{for ,foreach ,if ,repeat ,while }
\newcommand*\@pseudocodekeywordsunindent{endfor,endforeach,fi,endif,until ,endwhile}
\newcommand*\@pseudocodekeywordsuninindent{else if,elseif, else}
\newcommand*\@pseudocodekeywords{return ,{ do }, in ,new ,null ,null,true ,true,{ to },false ,false,{ then },done ,done}
\newcommand*\@pseudocodeaddkeywords{}
\newcommand*\@pseudocodealtkeywords{}
\begin{@withspaces}
\global\def\@pseudocodekeywordsspace{for,endfor,foreach,endforeach,return,do,in,new,if,null,true,until,to,false,then,repeat,else if,elseif,while,endwhile,else,done,fi,endif}
\end{@withspaces}


\define@key{pseudocode}{beginline}[]{\renewcommand*\@pseudocodecodeatbeginline{#1}}
\define@key{pseudocode}{endline}[]{\renewcommand*\@pseudocodecodeatendline{#1}}
\define@key{pseudocode}{jot}[0em]{\renewcommand*\@pseudocodecodejot{#1}}
\define@key{pseudocode}{codesize}[\small]{\renewcommand*\@pseudocodecodesize{#1}}
\define@key{pseudocode}{subcodesize}[\small]{\renewcommand*\@pseudocodesubcodesize{#1}}
\define@key{pseudocode}{head}[]{\renewcommand*\@pseudocodehead{#1}}
\define@key{pseudocode}{width}[]{\renewcommand*\@pseudocodewidth{#1}}
\define@key{pseudocode}{valign}[t]{\renewcommand*\@pseudocodeminipagealign{#1}}
\define@key{pseudocode}{xshift}[]{\renewcommand*\@pseudocodexshift{#1}}
\define@key{pseudocode}{yshift}[]{\renewcommand*\@pseudocodeyshift{#1}}
\define@key{pseudocode}{colspace}[]{\renewcommand*\@pseudocodecolspace{#1}}
\define@key{pseudocode}{linenumbering}[on]{\ifthenelse{\equal{#1}{on}}{\renewcommand*\@pseudocodelinenumber{\pcln}}{\renewcommand*\@pseudocodelinenumber{}}}
\define@key{pseudocode}{beforeskip}[]{\renewcommand*\@pseudocodebeforeskip{#1}}
\define@key{pseudocode}{afterskip}[]{\renewcommand*\@pseudocodeafterskip{#1}}
\define@key{pseudocode}{lnstart}[0]{\renewcommand*\@pseudocodelnstart{#1}}
\define@key{pseudocode}{lnstartright}[0]{\renewcommand*\@pseudocodelnstartright{#1}}
\define@key{pseudocode}{colsep}[0em]{\renewcommand*\@pseudocodecolsep{#1}}
\define@key{pseudocode}{headlinesep}[0em]{\renewcommand*\@pseudocodeheadlinesep{#1}}
\define@key{pseudocode}{bodylinesep}[0em]{\renewcommand*\@pseudocodebodylinesep{#1}}
\define@key{pseudocode}{addtolength}[2pt]{\renewcommand*\@pseudocodeaddtolength{#1}}
\define@key{pseudocode}{mode}[math]{%
\ifthenelse{\equal{#1}{text}}{%
\renewcommand*\@pc@modebegin{\begin{varwidth}{\textwidth}%
%introduce line magic for text mode
\let\@pc@lb\\%
\renewcommandx*{\\}[2][1=,2=]{\@pc@modeend\@pc@and \@pseudocodecodeatendline\ifthenelse{\equal{####1}{}}{\@pc@lb}{\@pc@lb[####1]}####2 \@pc@beginnewline}%
\def\pclb{\let\\\@pc@lb\relax\@pc@modeend\\}%
\def\pcolb{\let\\\@pc@lb\relax\@pc@modeend\\}%
}%
\renewcommand*\@pc@modeend{\end{varwidth}}
}{}%
}
\define@key{pseudocode}{nodraft}[true]{\renewcommand*\@pseudocodenodraft{#1}}
\define@key{pseudocode}{keywords}[]{\renewcommand*\@pseudocodekeywords{#1}}
\define@key{pseudocode}{keywordsindent}[]{\renewcommand*\@pseudocodekeywordsindent{#1}}
\define@key{pseudocode}{keywordsunindent}[]{\renewcommand*\@pseudocodekeywordsunindent{#1}}
\define@key{pseudocode}{keywordsuninindent}[]{\renewcommand*\@pseudocodekeywordsuninindent{#1}}
\define@key{pseudocode}{addkeywords}[]{\renewcommand*\@pseudocodeaddkeywords{#1}}
\define@key{pseudocode}{altkeywords}[]{\renewcommand*\@pseudocodealtkeywords{#1}}
\define@key{pseudocode}{syntaxhighlight}[]{\renewcommand*\@pseudocodesyntaxhighlighting{#1}}

\newcommand{\@pc@modebegin}{}
\newcommand{\@pc@modeend}{}
\newcommand{\@pc@thecontent}{}

\newcommand{\@pc@syntaxhighlight}[1]{%
\ifthenelse{\equal{\@pseudocodesyntaxhighlighting}{auto}}{%
\def\@shtmp{#1}% first step
\ifthenelse{\equal{\@pseudocodespace}{keep}}
   {\edef\@tmpkeywords{\@pseudocodekeywordsspace,\@pseudocodeaddkeywords}}
   {\ifthenelse{\equal{\@pseudocodespace}{auto}}
      {\edef\@tmpkeywords{\@pseudocodekeywords,\@pseudocodeaddkeywords}}
      {\edef\@tmpkeywords{\@pseudocodekeywords,\@pseudocodekeywordsindent,\@pseudocodekeywordsunindent,\@pseudocodekeywordsuninindent,\@pseudocodeaddkeywords}}}
\foreach \@pckw in \@tmpkeywords{%
\ifthenelse{\equal{\@pckw}{}}{}{%
% we are doing a simple strsub and storing the result (globally) in @shtmp
\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \gdef\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \@shtmp\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                \@pc@stringsubstitution\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\@shtmp\expandafter\expandafter\expandafter
                 }\expandafter\expandafter\expandafter{\expandafter\@pckw\expandafter}\expandafter{\expandafter\@pc@highlight\expandafter{\@pckw}}}%
}% alt keywords
}%
\foreach \@pckw in \@pseudocodealtkeywords{%
\ifthenelse{\equal{\@pckw}{}}{}{%
% we are doing a simple strsub and storing the result (globally) in @shtmp
\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \gdef\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \@shtmp\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                \@pc@stringsubstitution\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\@shtmp\expandafter\expandafter\expandafter
                 }\expandafter\expandafter\expandafter{\expandafter\@pckw\expandafter}\expandafter{\expandafter\@pc@althighlight\expandafter{\@pckw}}}%
}%
}%
%%%%
% if automatic spacing
\ifthenelse{\equal{\@pseudocodespace}{auto}}
{%
\foreach \@pckw in \@pseudocodekeywordsindent{% indentation keywords
\ifthenelse{\equal{\@pckw}{}}{}{%
% we are doing a simple strsub and storing the result (globally) in @shtmp
\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \gdef\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \@shtmp\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                \@pc@stringsubstitution\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\@shtmp\expandafter\expandafter\expandafter
                 }\expandafter\expandafter\expandafter{\expandafter\@pckw\expandafter}\expandafter{\expandafter\@pc@highlightindent\expandafter{\@pckw}}}%
}}%
\foreach \@pckw in \@pseudocodekeywordsunindent{% unindentation keywords
\ifthenelse{\equal{\@pckw}{}}{}{%
% we are doing a simple strsub and storing the result (globally) in @shtmp
\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \gdef\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \@shtmp\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                \@pc@stringsubstitution\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\@shtmp\expandafter\expandafter\expandafter
                 }\expandafter\expandafter\expandafter{\expandafter\@pckw\expandafter}\expandafter{\expandafter\@pc@highlightunindent\expandafter{\@pckw}}}%
}}%
\foreach \@pckw in \@pseudocodekeywordsuninindent{% uninindentation keywords
\ifthenelse{\equal{\@pckw}{}}{}{%
% we are doing a simple strsub and storing the result (globally) in @shtmp
\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \gdef\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                 \@shtmp\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                \@pc@stringsubstitution\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter
                {\expandafter\expandafter\expandafter\@shtmp\expandafter\expandafter\expandafter
                 }\expandafter\expandafter\expandafter{\expandafter\@pckw\expandafter}\expandafter{\expandafter\@pc@highlightuninindent\expandafter{\@pckw}}}%
}}%
}{}%
% return result
\@shtmp%
}{#1}% nothing to highlight
}

\newcommand{\@pc@highlight}[1]{%
\ifthenelse{\equal{\@pseudocodespace}{keep}}
    {\highlightkeyword[]{#1}}%
    {\highlightkeyword[]{\@pc@spacesubstitution{#1}{ }{~}}}%
}

\newcommand{\@pc@highlightindent}[1]{%
\@pc@increaseindent\@pc@highlight{#1}%
}

\newcommand{\@pc@highlightunindent}[1]{%
\@pc@decreaseindent\@pc@highlight{#1}%
}

\newcommand{\@pc@highlightuninindent}[1]{%
\@pc@tmpdecreaseindent\@pc@highlight{#1}%
}

\newcommand{\@pc@althighlight}[1]{%
\ifthenelse{\equal{\@pseudocodespace}{keep}}
    {\highlightaltkeyword{#1}}%
    {\highlightaltkeyword{\@pc@spacesubstitution{#1}{ }{~}}}%
}

\newcommand{\@pc@colspace}{}

%%%%%%%%%%%%%%%%%
% Allow for spacing
\newcommand{\@withinspaces}{false}%
\newcommand{\@keepspaces}{%
\renewcommand{\@withinspaces}{true}\@withspaces%
}
\newcommand{\@pc@endgroupafterpc}{}

\newcommand*\@pseudocodespace{}
\define@key{pcspace}{space}[]{\ifthenelse{\equal{#1}{keep}}{\@keepspaces}{}\renewcommand*\@pseudocodespace{#1}}

%%% automatic indentation
\newcounter{@pc@indentationlevel}
\newcommand{\@pc@increaseindent}{\addtocounter{@pc@indentationlevel}{1}}
\newcommand{\@pc@decreaseindent}{\ifthenelse{\equal{\@pseudocodespace}{auto}}{\pcind[-1]}{}\addtocounter{@pc@indentationlevel}{-1}}
\newcommand{\@pc@tmpdecreaseindent}{\ifthenelse{\equal{\@pseudocodespace}{auto}}{\pcind[-1]}{}}

\newcounter{pccolumncounter}
\setcounter{pccolumncounter}{2}

% store original halign
\let\@pc@halign\halign%

%% Check if the pseudocode command is called with an optional argument
\providecommand{\pseudocode}{%
\begingroup%
\renewcommand{\@withinspaces}{false}%
\@ifnextchar[%]
  {\@pseudocodeA}%
  {\@pseudocode[]}%
}

\def\@pseudocodeA[#1]{%
\setkeys*{pcspace}{#1}%test if there is a space assignment within the keys .. make the necessary arrangements and call the actual method
\@pseudocode[#1]%
}

\def\@pseudocode[#1]#2{%
\begingroup%
\setkeys{pseudocode}[space]{#1}%ignore the space key.
% check draft mode and disable syntax highlighting
\@pc@ifdraft{\ifthenelse{\equal{\@pseudocodenodraft}{true}}{}{\renewcommand\@pseudocodesyntaxhighlighting{}}}{}%
%
%
\addtocounter{@pc@global@pc@nestcnt}{1}%
% allow for tikz usage
\@pc@ensureremember%
%
% create tabbing command
\ifcsname \pctabname\endcsname%
\expandafter\renewcommand\csname \pctabname\endcsname{\@pc@modeend&\@pc@colspace\@pc@modebegin}%
\else%
\expandafter\newcommand\csname \pctabname\endcsname{\@pc@modeend&\@pc@colspace\@pc@modebegin}%
\fi%
\ifcsname \pcdbltabname\endcsname%
\expandafter\renewcommand\csname \pcdbltabname\endcsname{\@pc@modeend&&\@pc@colspace\@pc@modebegin}%
\else%
\expandafter\newcommand\csname \pcdbltabname\endcsname{\@pc@modeend&&\@pc@colspace\@pc@modebegin}%
\fi%
% create colspace command if necessary (must be empty for multicolumns
\ifthenelse{\equal{\@pseudocodecolspace}{}}
 {}
 {\renewcommand{\@pc@colspace}{\hspace{\@pseudocodecolspace}}}%
%
%adjust row width
\addtolength{\jot}{\@pseudocodecodejot}%
% create indent command
\expandafter\let\csname \pcindentname\endcsname\pcind%
%
%store and wrap (do syntax highlighting) argument
\renewcommand{\@pc@thecontent}{\@pc@and@wrap@start\@pc@syntaxhighlight{#2}\@pc@and@wrap@end}%
%
%take care of counters
\stepcounter{@pc@global@pc@cnt}%
\setcounter{pclinenumber}{\@pseudocodelnstart}%
\setcounter{pcrlinenumber}{\@pseudocodelnstartright}%
\setlength{\@pc@minipage@length}{0pt}%
\setlength{\@pc@alt@minipage@length}{0pt}%
\setcounter{@pclinenumbertmp}{\value{pclinenumber}}%
\setcounter{@pcrlinenumbertmp}{\value{pcrlinenumber}}%
%reset column counter
\setcounter{pccolumncounter}{2}%
%
% vertical space
\vspace{\@pseudocodeyshift}%
%\setlength{\abovedisplayskip}{0pt}%
%\setlength{\belowdisplayskip}{0pt}%
%\setlength{\abovedisplayshortskip}{0pt}%
%\setlength{\belowdisplayshortskip}{0pt}%
%
%
% line magic
\ifthenelse{\value{@pc@global@pc@nestcnt}=1}{%
\let\@pc@halign\halign%
\newenvironment{pcmbox}{\let\halign\@pc@halign}{}%
\def\halign{%
\renewcommand{\label}[1]{\ifmeasuring@\else\pc@original@label{####1}\fi}%
\let\@pc@lb\\%
\renewcommandx*{\\}[2][1=,2=]{\@pc@modeend\@pc@and\@pseudocodecodeatendline \ifthenelse{\equal{####1}{}}{\@pc@lb}{\@pc@lb[####1]}####2 \@pc@beginnewline}%
\def\pclb{\let\\\@pc@lb\relax\@pc@modeend\\}%
\@pc@halign}%
}{}%
%
%align column separation
\renewcommand*{\minalignsep}{\@pseudocodecolsep}%
%
% if no width is set compute width and store in circuitlength
\ifthenelse{\equal{\@pseudocodewidth}{}}{%
% compute length of pseudocode
\ifthenelse{\value{@pcsubprogstep}=0}{%
\@settowidthofalign{\@pc@minipage@length}{\@pc@thecontent}%
}{%
\@settowidthofaligned{\@pc@minipage@length}{\@pc@thecontent}%
}%
%compute length of header
\addtolength{\@pc@alt@minipage@length}{\widthof{\@pseudocodehead}}%
% use header length if longer and add some points for good measure
\ifdim\@pc@alt@minipage@length>\@pc@minipage@length%
\setlength{\@pc@minipage@length}{\@pc@alt@minipage@length}%
\fi%
\addtolength{\@pc@minipage@length}{\@pseudocodeaddtolength}%
}{\addtolength{\@pc@minipage@length}{\@pseudocodewidth}}%
% reset counter
\setcounter{pclinenumber}{\value{@pclinenumbertmp}}%
\setcounter{pcrlinenumber}{\value{@pcrlinenumbertmp}}%
\setcounter{@pc@indentationlevel}{0}%
% begin actual output
%
%
%do the actual mini page
\hspace{\@pseudocodexshift}%
\begin{minipage}[\@pseudocodeminipagealign]{\@pc@minipage@length}%
\ifthenelse{\value{@pcsubprogstep}=0}{%
\pc@display@pseudocode{\@pseudocodehead}{\@pc@thecontent}%
}{% if sub procedure
\pc@display@subcode{\@pseudocodehead}{\@pc@thecontent}%
}%
\end{minipage}%
\hspace{\afterpcskip}%
% tikz usage
\@pc@releaseremember%
\addtocounter{@pc@global@pc@nestcnt}{-1}%
\endgroup%
% close spacing and potentially a single group generated by the space tester
\ifthenelse{\equal{\@withinspaces}{true}}{\end@withspaces}{}%
\endgroup%
}

\newcommand{\@pc@gameheader}[2]{%
\tikz{\gdef\i{\thepcgamecounter}%
\node[anchor=base,#2,inner sep=0.05em,outer sep=0] (gamenode\i) {#1\vphantom{$\sum^A_{A_b}$}};
\ifthenelse{\equal{\@withinbxgame}{true}}
  {\node[draw,anchor=base, above=0.1cm of gamenode\i] (bgamenode\i) {\@bxgameheader\vphantom{$\sum^A_{A_b}$}};}
  {}%
}%
}

\let\pclb\relax
%
\newcommand{\pc@display@pseudocode}[2]{%
\ifthenelse{\equal{#1}{}}{\vspace{-1\baselineskip}\@pseudocodecodesize}{%
\ifthenelse{\equal{\@withingame}{true}}{%
\@pc@gameheader{#1}{}\ifthenelse{\equal{\@pc@secondheader}{true}}{\addtocounter{pcgamecounter}{1}\@pc@gameheader{#1}{draw}}{}%
\vspace{0.2em}%
}{#1\vphantom{$\sum^A_{A_b}$}}%
\vspace{\@pseudocodeheadlinesep}\hrule\vspace{\@pseudocodebodylinesep}\@pseudocodecodesize}%
\begin{flalign*}#2\end{flalign*}%
}


\newcommand{\pc@display@subcode}[2]{%
\begingroup%
\ifthenelse{\equal{#1}{}}{}{#1\vphantom{$\sum^A_{A_b}$} %
\vspace{\@pseudocodeheadlinesep}\hrule \vspace{\baselineskip}\vspace{\@pseudocodebodylinesep}}%
\@pseudocodesubcodesize%
$\begin{aligned}#2\end{aligned}$%
\endgroup%
}


\newcommand{\@pc@gettikzwidth}[2]{ % #1 = width, #2 = height
 \pgfextractx{\@tempdima}{\pgfpointdiff{\pgfpointanchor{current bounding box}{south west}}
 {\pgfpointanchor{current bounding box}{north east}}}
 \global#1=\@tempdima
 \pgfextracty{\@tempdima}{\pgfpointdiff{\pgfpointanchor{current bounding box}{south west}}
 {\pgfpointanchor{current bounding box}{north east}}}
 \global#2=\@tempdima
}


%%%%%%%%%%%%%%%%%%%
% remember pictues
\newcounter{@pc@remember}

\newcommand{\@pc@ensureremember}{%
\ifthenelse{\value{@pc@remember}=0}{\tikzstyle{every picture}+=[remember picture]}{}%
\addtocounter{@pc@remember}{1}}

\newcommand{\@pc@releaseremember}{%
\addtocounter{@pc@remember}{-1}%
\ifthenelse{\value{@pc@remember}=0}{\tikzstyle{every picture}-=[remember picture]}{}%
}


%%%%%%%%%%%%%%%%%%%
% pcimage
\newenvironment{pcimage}{%
\begingroup\@pc@ensureremember%
}{%
\@pc@releaseremember\endgroup%
}

\newcommand*\@pcnodecontent{}
\newcommand*\@pcnodestyle{}
\newcommand*\@pcnodedraw{}
\define@key{pcnode}{content}[]{\renewcommand*\@pcnodecontent{#1}}
\define@key{pcnode}{style}[]{\renewcommand*\@pcnodestyle{#1}}
\define@key{pcnode}{draw}[]{\renewcommand*\@pcnodedraw{#1}}

\newcommandx*{\pcnode}[2][2=]{%
\begingroup\setkeys{pcnode}{#2}%
\tikzset{PCNODE-STYLE/.style/.expand once=\@pcnodestyle}%
\begin{tikzpicture}[inner sep=0ex,baseline=0pt]%
\node[PCNODE-STYLE] (#1) {\@pcnodecontent}; %
\end{tikzpicture}%
\ifdefempty{\@pcnodedraw}{}{%
\begin{tikzpicture}[overlay,inner sep=0ex,baseline=0pt]\@pcnodedraw\end{tikzpicture}
}%
\endgroup}

\newcommandx*{\pcdraw}[2][2=]{%
\begin{tikzpicture}[overlay,inner sep=0ex,baseline=0pt,#2]
#1
\end{tikzpicture}}


%%%%%%%%%%%%%%%%%%%%%%%%%
% Reductions
\newcommand{\@bb@lastbox}{}
\newcommand{\@bb@lastoracle}{}
\newcommand{\@bb@lastchallenger}{}


\newlength{\@bb@message@hoffset}
\newlength{\@bb@query@hoffset}
\newlength{\@bb@oraclequery@hoffset}
\newlength{\@bb@challengerquery@hoffset}

\newcounter{@bb@oracle@cnt}
\newcounter{@bb@oracle@nestcnt}
\newcounter{@bb@challenger@cnt}
\newcounter{@bb@challenger@nestcnt}

\newcounter{@bb@env@nestcnt}

\newcommand{\bbroraclenodenameprefix}{ora-}
\newcommand{\bbrchallengernodenameprefix}{challenger-}
\newcommand{\bbrenvnodenameprefix}{env-}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Black Box Reduction Environment
\newenvironmentx{bbrenv}[3][1=0pt,3=0pt]{%
\addtocounter{@bb@env@nestcnt}{1}%
\renewcommand{\@bb@lastbox}{#2}%
%
% reset lengths
\@pc@globalsetlength{\@bb@message@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@query@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@oraclequery@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@challengerquery@hoffset}{0pt}%
%
%reset oracle counter and oracle query offset
\ifthenelse{\value{@bb@oracle@nestcnt}=0}
 {\setcounter{@bb@oracle@cnt}{0}}{}%
\ifthenelse{\value{@bb@challenger@nestcnt}=0}
  {\setcounter{@bb@challenger@cnt}{0}}{}%
%
\def\@bbendskip{#3}%
\vspace{#1}%
\ifthenelse{\value{@bb@env@nestcnt}=1}
 {\@pc@ensureremember%
\begin{tikzpicture}
}{\tikz\bgroup}
}{%
\ifthenelse{\value{@bb@env@nestcnt}=1}
{\end{tikzpicture}%
\@pc@releaseremember%
}{\egroup}%
\vspace{\@bbendskip}%
\addtocounter{@bb@env@nestcnt}{-1}%
% reset lengths
\@pc@globalsetlength{\@bb@message@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@query@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@oraclequery@hoffset}{0pt}%
\@pc@globalsetlength{\@bb@challengerquery@hoffset}{0pt}%
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% black box reduction box
% option keys
\newcommand*\bbrboxname{}
\newcommand*\bbrboxnamepos{right}
\newcommand*\bbrboxnamestyle{}
\newcommand*\@bbrboxnamepos{below right=0.5ex and -0.5ex of \@bb@lastbox.north east,anchor=north east}
\newcommand*\bbrboxabovesep{\baselineskip}
\newcommand*\@bbrboxnameposoffset{below left=\bbrboxabovesep of phantomname.south west}
\newcommand*\bbrboxstyle{draw}
\newcommand*\bbrboxafterskip{}
\newcommand*\bbrboxminheight{0cm}
\newcommand*\bbrboxminwidth{2cm}
\newcommand*\bbrboxxshift{0cm}
\newcommand*\bbrboxyshift{0cm}
\define@key{bbrbox}{abovesep}[]{\renewcommand*\bbrboxabovesep{#1}}
\define@key{bbrbox}{name}[]{\renewcommand*\bbrboxname{#1}}
\define@key{bbrbox}{namestyle}[]{\renewcommand*\bbrboxnamestyle{#1}}
\define@key{bbrbox}{namepos}[]{\renewcommand*\bbrboxnamepos{#1}}
\define@key{bbrbox}{style}[draw]{\renewcommand*\bbrboxstyle{#1}}
\define@key{bbrbox}{minwidth}[]{\renewcommand*\bbrboxminwidth{#1}}
\define@key{bbrbox}{addheight}[]{\renewcommand*\bbrboxafterskip{#1}}
\define@key{bbrbox}{minheight}[]{\renewcommand*\bbrboxminheight{#1}}
\define@key{bbrbox}{xshift}[]{\renewcommand*\bbrboxxshift{#1}}
\define@key{bbrbox}{yshift}[]{\renewcommand*\bbrboxyshift{#1}}


\NewEnviron{bbrbox}[1][]{%
\setkeys{bbrbox}{#1}%

\ifthenelse{\equal{\bbrboxnamepos}{center}}
 {\renewcommand{\@bbrboxnamepos}{below=0.5ex of \@bb@lastbox.north,anchor=north}}{}
\ifthenelse{\equal{\bbrboxnamepos}{left}}
 {\renewcommand{\@bbrboxnamepos}{below=0.5ex of \@bb@lastbox.north west,anchor=north west}}{}
\ifthenelse{\equal{\bbrboxnamepos}{top right}}
 {\renewcommand{\@bbrboxnamepos}{above=0cm of \@bb@lastbox.north east,anchor=south east}\renewcommand{\@bbrboxnameposoffset}{below left=0cm of phantomname.north west}}{}
\ifthenelse{\equal{\bbrboxnamepos}{top center}}
 {\renewcommand{\@bbrboxnamepos}{above=0cm of \@bb@lastbox.north,anchor=south}\renewcommand{\@bbrboxnameposoffset}{below left=0cm of phantomname.north west}}{}
\ifthenelse{\equal{\bbrboxnamepos}{top left}}
 {\renewcommand{\@bbrboxnamepos}{above=0cm of \@bb@lastbox.north west,anchor=south west}\renewcommand{\@bbrboxnameposoffset}{below left=0cm of phantomname.north west}}{}
\ifthenelse{\equal{\bbrboxnamepos}{middle}}
 {\renewcommand{\@bbrboxnamepos}{above=0.5ex of \@bb@lastbox.base,anchor=south}}{}
\ifthenelse{\equal{\bbrboxnamepos}{bottom}}
 {\renewcommand{\@bbrboxnamepos}{above=0.5ex of \@bb@lastbox.base,anchor=north}}{}


\tikzset{BBRBOXSTYLE/.style/.expand once=\bbrboxstyle}%
\tikzset{BBRBOXNAMEPOS/.style/.expand once=\@bbrboxnamepos}%
\tikzset{BBRBOXNAMESTYLE/.style/.expand once=\bbrboxnamestyle}%
\tikzset{BBRBOXNAMEPOSOFFSET/.style/.expand once=\@bbrboxnameposoffset}%

\node[inner sep=0pt,outer sep=0pt] (\@bb@lastbox-tmpouter) {};
\node[inner sep=.3333em,anchor=north,BBRBOXSTYLE,minimum height=\bbrboxminheight,below right=\bbrboxyshift and \bbrboxxshift of \@bb@lastbox-tmpouter] (\@bb@lastbox)  \bgroup
	\tikz{
		\node[inner sep=0pt,outer sep=0pt,minimum height=0cm] (phantomname) {}; %minimum width
		\node[BBRBOXNAMEPOSOFFSET,minimum height=0cm] (\@bb@lastbox-inner) {\begin{varwidth}{2\linewidth}\BODY\end{varwidth}};
		\ifthenelse{\equal{\bbrboxafterskip}{}}{}{
			\node[below=0cm of \@bb@lastbox-inner,minimum height=\bbrboxafterskip] {};
		}
		\node[inner sep=0pt,outer sep=0pt,at=(\@bb@lastbox-inner.south west),minimum height=0cm] () {\phantom{\hspace{\bbrboxminwidth}}}; %minimum width
	}
\egroup;
\ifthenelse{\equal{\bbrboxnamepos}{none}}
{}{\node[BBRBOXNAMEPOS,BBRBOXNAMESTYLE, inner sep=0.2ex, outer sep=0pt, overlay] () {\bbrboxname};}
}


\newcommand*\bbroraclevdistance{\baselineskip}
\newcommand*\bbroraclehdistance{1.5cm}
\define@key{bbroracle}{distance}[]{\renewcommand*\bbroraclehdistance{#1}}
\define@key{bbroracle}{hdistance}[]{\renewcommand*\bbroraclehdistance{#1}}
\define@key{bbroracle}{vdistance}[]{\renewcommand*\bbroraclevdistance{#1}}


% ORACLES
\newenvironmentx{bbroracle}[2][2=]{%
	\begingroup
	\setkeys{bbroracle}{#2}
	%add to nesting cout
	\addtocounter{@bb@oracle@nestcnt}{1}
	%if first oracle, then put it to the right, else stack them vertically
	\addtocounter{@bb@oracle@cnt}{1}
	\ifthenelse{\value{@bb@oracle@cnt}=1}{
	\setlength{\@bb@tmplength@b}{\bbroraclevdistance-\baselineskip}
	\node[inner sep=0pt,below right=\@bb@tmplength@b and \bbroraclehdistance of \@bb@lastbox.north east,anchor=north west] (\bbroraclenodenameprefix#1) \bgroup
	}{
% compute distance of top of last box to bottom of last oracle
	\coordinate (@bbtmpcoord) at (\@bb@lastbox.north east);
	\path (@bbtmpcoord);
	\pgfgetlastxy{\XCoord}{\YCoordA}
	\coordinate (@bbtmpcoord) at (\bbroraclenodenameprefix \@bb@lastoracle.south west);
	\path (@bbtmpcoord);
	\pgfgetlastxy{\XCoord}{\YCoordB}
	\setlength{\@bb@tmplength@b}{\YCoordA-\YCoordB+\bbroraclevdistance}
	\node[inner sep=0pt,below right=\@bb@tmplength@b and \bbroraclehdistance of \@bb@lastbox.north east,anchor=north west] (\bbroraclenodenameprefix#1) \bgroup
	}
	\global\def\@bb@lastoracle{#1}
	\begin{bbrenv}{#1}
}{
	\end{bbrenv}
	\egroup;

	\addtocounter{@bb@oracle@nestcnt}{-1}
	\endgroup
}


\newcommand*\bbrchallengerhdistance{1.5cm}
\newcommand*\bbrchallengervdistance{\baselineskip}
\define@key{bbrchallenger}{distance}[]{\renewcommand*\bbrchallengerhdistance{#1}}
\define@key{bbrchallenger}{hdistance}[]{\renewcommand*\bbrchallengerhdistance{#1}}
\define@key{bbrchallenger}{vdistance}[]{\renewcommand*\bbrchallengervdistance{#1}}


% Challenger
\newenvironmentx{bbrchallenger}[2][2=]{%
\begingroup%
\setkeys{bbrchallenger}{#2}%
%add to nesting cout
\addtocounter{@bb@challenger@nestcnt}{1}%
%if first oracle, then put it to the right, else stack them vertically
\addtocounter{@bb@challenger@cnt}{1}%
\ifthenelse{\value{@bb@challenger@cnt}=1}{%
\setlength{\@bb@tmplength@b}{\bbrchallengervdistance-\baselineskip}%
\node[inner sep=0pt,below left=\@bb@tmplength@b and \bbrchallengerhdistance of \@bb@lastbox.north west,anchor=north east] (\bbrchallengernodenameprefix#1) \bgroup%
}{%
\coordinate (@bbtmpcoord) at (\@bb@lastbox.north west);%
\path (@bbtmpcoord);%
\pgfgetlastxy{\XCoord}{\YCoordA}%
\coordinate (@bbtmpcoord) at (\bbrchallengernodenameprefix \@bb@lastchallenger.south east);%
\path (@bbtmpcoord);%
\pgfgetlastxy{\XCoord}{\YCoordB}%
\setlength{\@bb@tmplength@b}{\YCoordA-\YCoordB+\bbrchallengervdistance}%
\node[inner sep=0pt,below left=\@bb@tmplength@b and \bbrchallengerhdistance of \@bb@lastbox.north west,anchor=north east] (\bbrchallengernodenameprefix#1) \bgroup%
}%
\global\def\@bb@lastchallenger{#1}
\begin{bbrenv}{#1}%
}{
\end{bbrenv}%
\egroup;%
\addtocounter{@bb@challenger@nestcnt}{-1}%
\endgroup%
\let\msgfrom\bbrchallengerqueryto%
}


\newcommand*\bbrinputlength{0.5cm}
\newcommand*\bbrinputhoffset{0.5cm}
\newcommand*\bbrinputbottom{}
\newcommand*\bbrinputtop{}
\newcommand*\bbrinputedgestyle{}
\newcommand*\bbrinputtopstyle{}
\newcommand*\bbrinputbottomstyle{}
\newcommand*\bbrinputnodestyle{}
\newcommand*\bbrinputnodename{}
\define@key{bbrinput}{length}[]{\renewcommand*\bbrinputlength{#1}}
\define@key{bbrinput}{hoffset}[]{\renewcommand*\bbrinputhoffset{#1}}
\define@key{bbrinput}{name}[]{\renewcommand*\bbrinputnodename{#1}}
\define@key{bbrinput}{top}[]{\renewcommand*\bbrinputtop{#1}}
\define@key{bbrinput}{bottom}[]{\renewcommand*\bbrinputbottom{#1}}


\newcommand{\@bb@inputsetup}[1]{
	%load keys
	\begingroup % for local keys

	\setkeys{bbrinput}{#1}%

	\tikzset{BBRINPUT-NODESTYLE/.style/.expand once=\bbrinputedgestyle}%
	\tikzset{BBRINPUT-TOPSTYLE/.style/.expand once=\bbrinputtopstyle}%
	\tikzset{BBRINPUT-BOTTOMSTYLE/.style/.expand once=\bbrinputbottomstyle}%
	\tikzset{BBRINPUT-EDGESTYLE/.style/.expand once=\bbrinputedgestyle}%

}

\newcommand{\@bb@inputfinalize}{
	\endgroup
}

\newcommandx*{\bbrinput}[2][2=]{%
\@bb@inputsetup{#2}
\ifthenelse{\equal{\bbrinputnodename}{}}
  {\renewcommand{\bbrinputnodename}{\@bb@lastbox-input}}{}

\node[overlay,above right={\bbrinputlength} and {\bbrinputhoffset} of \@bb@lastbox.north west, anchor=south,BBRINPUT-NODESTYLE] (\bbrinputnodename) {#1};
\path[->] (\bbrinputnodename.south)  edge[BBRINPUT-EDGESTYLE] node[above,anchor=east,BBRINPUT-TOPSTYLE] () {\bbrinputtop} node[below,anchor=west,BBRINPUT-BOTTOMSTYLE] () {\bbrinputbottom} (\bbrinputnodename.south|-\@bb@lastbox.north);
\@bb@inputfinalize
}

\newcommandx*{\bbroutput}[2][2=]{%
\@bb@inputsetup{#2}
\ifthenelse{\equal{\bbrinputnodename}{}}
  {\renewcommand{\bbrinputnodename}{\@bb@lastbox-output}}{}

\node[overlay,below right={\bbrinputlength} and {\bbrinputhoffset} of \@bb@lastbox.south west, anchor=north] (\bbrinputnodename) {#1};
\draw[->] (\bbrinputnodename.north|-\@bb@lastbox.south)  -- (\bbrinputnodename.north|-\bbrinputnodename.north);
\@bb@inputfinalize
}

\newenvironment{bbrpic}[1][]{%
\begin{tikzpicture}[overlay,inner sep=0ex,baseline=0pt,#1]%
}{%
\end{tikzpicture}}

%%%%%%%%%%%
% communication
%temporary lengths
\newlength{\@bb@com@tmpoffset}
\newlength{\@bb@tmplength@b}
\newcommand{\@bb@firstmessageheight}{0.25\baselineskip}
\newcommand{\@bb@msglength}{1.25cm}
\newcommand{\@bb@qrylength}{1.5cm}

%keys
\newcommand*\bbrcomnsidestyle{}
\newcommand*\bbrcomtopstyle{}
\newcommand*\bbrcombottomstyle{}
\newcommand*\bbrcomside{}
\newcommand*\bbrcomoside{}
\newcommand*\bbrcomtop{}
\newcommand*\bbrcombottom{}
\newcommand*\bbrcomedgestyle{}
\newcommand*\bbrcomlength{1.25cm}
\newcommand*\bbrcomtopname{bbrcomtop}
\newcommand*\bbrcombottomname{bbrcombottom}
\newcommand*\bbrcomsidename{bbrcomside}
\newcommand*\bbrcomosidename{bbrcomoside}
\newcommand*\bbrcombeforeskip{0pt}
\newcommand*\bbrcomafterskip{0pt}
\define@key{bbrcom}{sidestyle}[]{\renewcommand*\bbrcomnsidestyle{#1}}
\define@key{bbrcom}{topstyle}[]{\renewcommand*\bbrcomtopstyle{#1}}
\define@key{bbrcom}{bottomstyle}[]{\renewcommand*\bbrcombottomstyle{#1}}
\define@key{bbrcom}{side}[]{\renewcommand*\bbrcomside{#1}}
\define@key{bbrcom}{oside}[]{\renewcommand*\bbrcomoside{#1}}
\define@key{bbrcom}{top}[]{\renewcommand*\bbrcomtop{#1}}
\define@key{bbrcom}{bottom}[]{\renewcommand*\bbrcombottom{#1}}
\define@key{bbrcom}{edgestyle}[]{\renewcommand*\bbrcomedgestyle{#1}}
\define@key{bbrcom}{length}[]{\renewcommand*\bbrcomlength{#1}}
\define@key{bbrcom}{topname}[]{\renewcommand*\bbrcomtopname{#1}}
\define@key{bbrcom}{bottomname}[]{\renewcommand*\bbrcombottomname{#1}}
\define@key{bbrcom}{sidename}[]{\renewcommand*\bbrcomsidename{#1}}
\define@key{bbrcom}{osidename}[]{\renewcommand*\bbrcomosidename{#1}}
\define@key{bbrcom}{beforeskip}[]{\renewcommand*\bbrcombeforeskip{#1}}
\define@key{bbrcom}{afterskip}[]{\renewcommand*\bbrcomafterskip{#1}}

\newcommand*\bbrbasenodestyle{}
\newcommand*\bbrbasenodename{bbrtmpname}
\define@key{bbrabase}{nodestyle}[]{\renewcommand*\bbrbasenodestyle{#1}}
\define@key{bbrabase}{nodename}[]{\renewcommand*\bbrbasenodename{#1}}


\newcommand{\@bb@comsetup}[3]{
	%load keys
	\begingroup % for local keys

	\setkeys{bbrcom}{#1}%

	%set styles
	\tikzset{BBRCOM-SIDESTYLE/.style/.expand once=\bbrcomnsidestyle}%
	\tikzset{BBRCOM-TOPSTYLE/.style/.expand once=\bbrcomtopstyle}%
	\tikzset{BBRCOM-BOTTOMSTYLE/.style/.expand once=\bbrcombottomstyle}%
	\tikzset{BBRCOM-EDGESTYLE/.style/.expand once=\bbrcomedgestyle}%

	% increase space
	\ifthenelse{\lengthtest{#2<\@bb@firstmessageheight}}
 	{#3{\@bb@firstmessageheight}}
	{
	  #3{1.25\baselineskip}
	  \ifthenelse{\equal{\bbrcomtop}{}}{}{#3{0.5\baselineskip}}
           }

	#3{\bbrcombeforeskip}

	\setlength{\@bb@com@tmpoffset}{#2}%
}

\newcommand{\@bb@comfinalize}[1]{
	\ifthenelse{\equal{\bbrcombottom}{}}{}{#1{\baselineskip}}
	#1{\bbrcomafterskip}
	\endgroup
}

\newcommand{\@bbrmsg}[8]{
	\@bb@comsetup{#1}{#7}{#8}
	%
	\node[#3=\@bb@com@tmpoffset and \bbrcomlength of \@bb@lastbox.#4,anchor=#6,BBRCOM-SIDESTYLE] (\bbrcomsidename) {\bbrcomside};
	\path[#2] (\bbrcomsidename.#6)  edge[BBRCOM-EDGESTYLE] node[above,BBRCOM-TOPSTYLE] (\bbrcomtopname) {\bbrcomtop} node[below,BBRCOM-BOTTOMSTYLE] (\bbrcombottomname) {\bbrcombottom} (\@bb@lastbox.#5|-\bbrcomsidename) node[inner sep=0pt,outer sep=0pt] (\bbrcomosidename) {};
	%
	\@bb@comfinalize{#8}
}

\newcommandx{\bbrmsgto}[1]{%
\@bbrmsg{#1}{->}{below left}{north west}{west}{east}{\@bb@message@hoffset}{\bbrmsgspace}
}
\newcommandx{\bbrmsgfrom}[1]{%
\@bbrmsg{#1}{<-}{below left}{north west}{west}{east}{\@bb@message@hoffset}{\bbrmsgspace}
}
\newcommandx{\bbrmsgvdots}{%
	\bbrmsgtxt[xshift=\bbrcomlength/2,beforeskip=-0.5\baselineskip,afterskip=-0.5\baselineskip]{$\vdots$}
}


\newcommandx{\bbrqryto}[1]{%
\@bbrmsg{#1}{<-}{below right}{north east}{east}{west}{\@bb@query@hoffset}{\bbrqryspace}
}
\newcommandx{\bbrqryfrom}[1]{%
\@bbrmsg{#1}{->}{below right}{north east}{east}{west}{\@bb@query@hoffset}{\bbrqryspace}
}

\newcommand{\@bbroracleqry}[4]{
	\@bb@comsetup{#1}{#3}{#4}
	%

	\path[#2] (\@bb@lastoracle.north west) -- ++ (0,-\@bb@com@tmpoffset) node[inner sep=0pt,outer sep=0pt] (\bbrcomsidename){\bbrcomside} edge[BBRCOM-EDGESTYLE] node[above,BBRCOM-TOPSTYLE] (\bbrcomtopname) {\bbrcomtop} node[below,BBRCOM-BOTTOMSTYLE] (\bbrcombottomname) {\bbrcombottom} (\@bb@lastbox.east|-\bbrcomsidename) node[inner sep=0pt,outer sep=0pt] (\bbrcomosidename) {\bbrcomoside};
	%
	\@bb@comfinalize{#4}
}

\newcommand{\bbroracleqryfrom}[1]{
	\@bbroracleqry{#1}{->}{\@bb@oraclequery@hoffset}{\bbroracleqryspace}
}

\newcommand{\bbroracleqryto}[1]{
	\@bbroracleqry{#1}{<-}{\@bb@oraclequery@hoffset}{\bbroracleqryspace}
}

\newcommand{\@bbrchallengerqry}[4]{
	\@bb@comsetup{#1}{#3}{#4}
	%

	\path[#2] (\@bb@lastchallenger.north east) -- ++ (0,-\@bb@com@tmpoffset) node[inner sep=0pt,outer sep=0pt] (\bbrcomsidename){\bbrcomside} edge[BBRCOM-EDGESTYLE] node[above,BBRCOM-TOPSTYLE] (\bbrcomtopname) {\bbrcomtop} node[below,BBRCOM-BOTTOMSTYLE] (\bbrcombottomname) {\bbrcombottom} (\@bb@lastbox.west|-\bbrcomsidename) node[inner sep=0pt,outer sep=0pt] (\bbrcomosidename) {\bbrcomoside};
	%
	\@bb@comfinalize{#4}
}

\newcommand{\bbrchallengerqryfrom}[1]{
	\@bbrchallengerqry{#1}{<-}{\@bb@challengerquery@hoffset}{\bbrchallengerqryspace}
}

\newcommand{\bbrchallengerqryto}[1]{
	\@bbrchallengerqry{#1}{->}{\@bb@challengerquery@hoffset}{\bbrchallengerqryspace}
}



\newcommand*\bbrcomloopleft{}
\newcommand*\bbrcomloopright{}
\newcommand*\bbrcomloopcenter{}
\newcommand*\bbrcomloopangle{50}
\define@key{bbrcomloop}{left}[]{\renewcommand*\bbrcomloopleft{#1}}
\define@key{bbrcomloop}{right}[]{\renewcommand*\bbrcomloopright{#1}}
\define@key{bbrcomloop}{center}[]{\renewcommand*\bbrcomloopcenter{#1}}
\define@key{bbrcomloop}{angle}[]{\renewcommand*\bbrcomloopangle{#1}}

\newcommand{\bbrloop}[3]{
	\begingroup % for local keys
	\setkeys{bbrcomloop}{#3}%

	\path[->] (#1) edge[bend right=\bbrcomloopangle] node[midway,left] (bbrleft) {\bbrcomloopleft} (#2);
	\path[->] (#2) edge[bend right=\bbrcomloopangle] node[midway,right] (bbrright) {\bbrcomloopright} (#1);
	\node[at=($(bbrleft.north west)!0.5!(bbrright.north east)$),anchor=north]() {\bbrcomloopcenter};

	\endgroup
}

\newcommand*\bbrintertexthoffset{1.5cm}
\define@key{bbrintertext}{xshift}[]{\renewcommand*\bbrintertexthoffset{#1}}

\newcommand{\@bb@intertextsetup}[1]{
	%load keys
	\begingroup % for local keys

	\setkeys{bbrcom,bbrabase,bbrintertext}{#1}%

	\tikzset{BBRBASE-NODESTYLE/.style/.expand once=\bbrbasenodestyle}%
}

\newcommand{\@bb@intertextfinalize}[1]{
	#1{\bbrcomafterskip}
	\endgroup
}

\newcommand{\@bbrintertext}[6]{
	\@bb@intertextsetup{#1}

	% increase space
	\ifthenelse{\lengthtest{#4<\@bb@firstmessageheight}}
 	{#5{\@bb@firstmessageheight}}
	{#5{1\baselineskip}}

	\setlength{\@bb@com@tmpoffset}{#4+\bbrcombeforeskip}%

	%
	\node[#2=\@bb@com@tmpoffset and \bbrintertexthoffset of \@bb@lastbox.#3,BBRBASE-NODESTYLE] (\bbrbasenodename) {#6};
	%
	% compute height of node
	\coordinate (@bbtmpcoord) at (\bbrbasenodename.north);
	\path (@bbtmpcoord);
	\pgfgetlastxy{\XCoord}{\YCoordA}
	\coordinate (@bbtmpcoord) at (\bbrbasenodename.south);
	\path (@bbtmpcoord);
	\pgfgetlastxy{\XCoord}{\YCoordB}

	% update hoffset
	\setlength{\@bb@tmplength@b}{\YCoordA-\YCoordB}
	#5{\the\@bb@tmplength@b}

	\@bb@intertextfinalize{#5}
}

\newcommand{\bbrmsgtxt}[2][]{
	\@bbrintertext{#1}{below left}{north west}{\@bb@message@hoffset}{\bbrmsgspace}{#2}
}

\newcommand{\bbrqrytxt}[2][]{
	\@bbrintertext{#1}{below right}{north east}{\@bb@query@hoffset}{\bbrqryspace}{#2}
}

\newcommand{\bbrchallengertxt}[2][]{
\begingroup
\setlength{\@bb@tmplength@b}{\bbrchallengerhdistance/2}%
\renewcommand{\bbrintertexthoffset}{\the\@bb@tmplength@b}%
	\@bbrintertext{#1}{below left}{north west}{\@bb@challengerquery@hoffset}{\bbrchallengerqryspace}{#2}
\endgroup
}

\newcommand{\bbroracletxt}[2][]{
\begingroup
\setlength{\@bb@tmplength@b}{\bbroraclehdistance/2}%
\renewcommand{\bbrintertexthoffset}{\the\@bb@tmplength@b}%
	\@bbrintertext{#1}{below left}{north west}{\@bb@oraclequery@hoffset}{\bbroracleqryspace}{#2}
\endgroup
}

\newcommand{\bbrmsgspace}[1]{
\@pc@globaladdtolength{\@bb@message@hoffset}{#1}
}

\newcommand{\bbrqryspace}[1]{
\@pc@globaladdtolength{\@bb@query@hoffset}{#1}
}

\newcommand{\bbroracleqryspace}[1]{
\@pc@globaladdtolength{\@bb@oraclequery@hoffset}{#1}
}

\newcommand{\bbrchallengerqryspace}[1]{
\@pc@globaladdtolength{\@bb@challengerquery@hoffset}{#1}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% stacking
\providecommand{\pccenteraboveskip}{0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}
\providecommand{\pccenterbelowskip}{0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}
\newenvironment{pccenter}{%
\setlength\topsep{0pt}\setlength\parskip{0pt}%
\begin{center}\vspace{\pccenteraboveskip}%
}{%
\vspace{\pccenteraboveskip}%
\end{center}}


%%%%%%%%%%%%%%%%%%%%%
% horizontal stacking
% space before hstacks
\newlength{\pcbeforehstackskip}

\NewEnviron{pchstack}[1][]{%
% write out content
\ifthenelse{\equal{#1}{center}}{%
\begin{pccenter}\mbox{\hspace{\pcbeforehstackskip}\BODY}\end{pccenter}}{%
\mbox{\hspace{\pcbeforehstackskip}\BODY}}%
}


%%%%%%%%%%%%%%%%%%%%%%%
\NewEnviron{pcvstack}[1][]{%
% display minipage
\ifthenelse{\equal{#1}{center}}{\begin{pccenter}}{}%
\begin{varwidth}[t]{2\linewidth}\hspace{0pt}\BODY\end{varwidth}% hspace needed for proper vertical positioning .. strange as it is.
\ifthenelse{\equal{#1}{center}}{\end{pccenter}}{}%
}


% spacing for stacking
\newcommand{\pchspace}[1][1em]{\hspace{#1}}
\newcommand{\pcvspace}[1][\baselineskip]{\par\vspace{#1}}





%%%%
% subprocedures
\newcounter{@pcsubprogcnt1}
\newcounter{@pcrsubprogcnt1}
\newcounter{@pcsubprogcnt2}
\newcounter{@pcrsubprogcnt2}
\newcounter{@pcsubprogcnt3}
\newcounter{@pcrsubprogcnt3}
\newcounter{@pcsubprogcnt4}
\newcounter{@pcrsubprogcnt4}
\newcounter{@pcsubprogcnt5}
\newcounter{@pcrsubprogcnt5}
\newcounter{@pcsubprogcnt6}
\newcounter{@pcrsubprogcnt6}
\newcounter{@pcsubprogcnt7}
\newcounter{@pcrsubprogcnt7}
\newcounter{@pcsubprogcnt8}
\newcounter{@pcrsubprogcnt8}
\newcounter{@pcsubprogcnt9}
\newcounter{@pcrsubprogcnt9}
\newcounter{@pcsubprogstep}

\newenvironment{subprocedure}{%
\addtocounter{@pcsubprogstep}{1}%
% store old counter values
\setcounter{@pcsubprogcnt\the@pcsubprogstep}{\value{pclinenumber}}%
\setcounter{@pcrsubprogcnt\the@pcsubprogstep}{\value{pcrlinenumber}}%
}{%
\setcounter{pclinenumber}{\value{@pcsubprogcnt\the@pcsubprogstep}}%
\setcounter{pcrlinenumber}{\value{@pcrsubprogcnt\the@pcsubprogstep}}%
\addtocounter{@pcsubprogstep}{-1}}


%%%%%
% parameter reordering
\def\@pseudocodeB#1#2[#3]#4{\setkeys*{pcspace}{#2,#3}\@pseudocode[head={#1#4},#2,#3]}
\def\@pseudocodeC#1#2#3{\setkeys*{pcspace}{#2}\@pseudocode[head={#1#3},#2]}
%for no headers
\def\@pseudocodeE#1#2[#3]{\setkeys*{pcspace}{#2,#3}\@pseudocode[head={#1},#2,#3]}
\def\@pseudocodeF#1#2{\setkeys*{pcspace}{#2}\@pseudocode[head={#1},#2]}

%%%%%%%%%
% Define pseudocode command:
% #1 name
% #2 code to execute after begingroup
% #3 head prefix
% #4 other config
\newcommand{\createprocedurecommand}[4]{
	\expandafter\gdef\csname #1\endcsname{%
\begingroup%
\renewcommand{\@withinspaces}{false}%
#2%
\@ifnextchar[%]
  {\@pseudocodeB{#3}{#4}}
  {\@pseudocodeC{#3}{#4}}%
}%
}

\newcommand{\createpseudocodecommand}[4]{
	\expandafter\gdef\csname #1\endcsname{%
\begingroup%
\renewcommand{\@withinspaces}{false}%
#2%
\@ifnextchar[%]
  {\@pseudocodeE{#3}{#4}}
  {\@pseudocodeF{#3}{#4}}%
}%
}


%%%%%%
% create procedure
\createprocedurecommand{procedure}{}{}{}




%%%
% send message
\newcommand{\pcshortmessageoffset}{0.5cm}
\newcommand{\pcdefaultmessagelength}{3.5cm}
\newcommand{\pcdefaultlongmessagelength}{6cm}
\newcommand{\pcbeforemessageskip}{0pt}
\newcommand{\pcaftermessageskip}{10pt}
\newlength{\pcmessagearrow}

\newcommand*\@pcsendmessagelength{\pcdefaultmessagelength}
\newcommand*\@pcsendmessagecol{}
\newcommand*\@pcsendmessagewidth{}
\newcommand*\@pcsendmessagestyle{}
\newcommand*\@pcsendmessagetop{}
\newcommand*\@pcsendmessagebottom{}
\newcommand*\@pcsendmessageright{}
\newcommand*\@pcsendmessageleft{}
\newcommand*\@pcsendmessagetopname{t}
\newcommand*\@pcsendmessagebottomname{b}
\newcommand*\@pcsendmessagerightname{r}
\newcommand*\@pcsendmessageleftname{l}
\newcommand*\@pcsendmessagetopstyle{}
\newcommand*\@pcsendmessagebottomstyle{}
\newcommand*\@pcsendmessagerightstyle{}
\newcommand*\@pcsendmessageleftstyle{}
\newcommand*\@pcsendmessagebeforeskip{\pcbeforemessageskip}
\newcommand*\@pcsendmessageafterskip{\pcaftermessageskip}
\define@key{pcsendmessage}{centercol}[]{\renewcommand*\@pcsendmessagecol{#1}}
\define@key{pcsendmessage}{width}[]{\renewcommand*\@pcsendmessagewidth{#1}}
\define@key{pcsendmessage}{style}[]{\renewcommand*\@pcsendmessagestyle{#1}}
\define@key{pcsendmessage}{length}[]{\renewcommand*\@pcsendmessagelength{#1}}
\define@key{pcsendmessage}{top}[]{\renewcommand*\@pcsendmessagetop{#1}}
\define@key{pcsendmessage}{bottom}[]{\renewcommand*\@pcsendmessagebottom{#1}}
\define@key{pcsendmessage}{right}[]{\renewcommand*\@pcsendmessageright{#1}}
\define@key{pcsendmessage}{left}[]{\renewcommand*\@pcsendmessageleft{#1}}
\define@key{pcsendmessage}{topname}[]{\renewcommand*\@pcsendmessagetopname{#1}}
\define@key{pcsendmessage}{bottomname}[]{\renewcommand*\@pcsendmessagebottomname{#1}}
\define@key{pcsendmessage}{rightname}[]{\renewcommand*\@pcsendmessagerightname{#1}}
\define@key{pcsendmessage}{leftname}[]{\renewcommand*\@pcsendmessageleftname{#1}}
\define@key{pcsendmessage}{topstyle}[]{\renewcommand*\@pcsendmessagetopstyle{#1}}
\define@key{pcsendmessage}{bottomstyle}[]{\renewcommand*\@pcsendmessagebottomstyle{#1}}
\define@key{pcsendmessage}{rightstyle}[]{\renewcommand*\@pcsendmessagerightstyle{#1}}
\define@key{pcsendmessage}{leftstyle}[]{\renewcommand*\@pcsendmessageleftstyle{#1}}
\define@key{pcsendmessage}{beforeskip}[]{\renewcommand*\@pcsendmessagebeforeskip{#1}}
\define@key{pcsendmessage}{afterskip}[]{\renewcommand*\@pcsendmessageafterskip{#1}}


\newcommand{\@pc@centerincol}[2]{%
\ifmeasuring@%
#2%
\else%
\makebox[\ifcase\expandafter #1\maxcolumn@widths\fi]{$\displaystyle#2$}%
\fi%
}

\newcommand{\centerincol}[1]{\@pc@centerincol{\thepccolumncounter}{#1}}

\newcommand{\@do@sendmessage}[1]{%
\ifthenelse{\equal{\@pcsendmessagecol}{}}{%
\ifthenelse{\equal{\@pcsendmessagewidth}{}}{#1}{% we have some width
\makebox[\@pcsendmessagewidth]{$\displaystyle#1$}%
}}{%we know the column to center on
\@pc@centerincol{\@pcsendmessagecol}{#1}%
}%
}

\newcommandx*{\sendmessage}[2]{%
\begingroup\setkeys{pcsendmessage}{#2}%
\tikzset{PCSENDMSG-PATH-STYLE/.style/.expand once=\@pcsendmessagestyle}%
\tikzset{PCSENDMSG-TOP-STYLE/.style/.expand once=\@pcsendmessagetopstyle}%
\tikzset{PCSENDMSG-BOTTOM-STYLE/.style/.expand once=\@pcsendmessagebottomstyle}%
\tikzset{PCSENDMSG-LEFT-STYLE/.style/.expand once=\@pcsendmessageleftstyle}%
\tikzset{PCSENDMSG-RIGHT-STYLE/.style/.expand once=\@pcsendmessagerightstyle}%
%restore halign
%
\hspace{\@pcsendmessagebeforeskip}%
\begin{varwidth}{\linewidth}
\@do@sendmessage{
	\begin{tikzpicture}%
	 \node[PCSENDMSG-LEFT-STYLE] (\@pcsendmessageleftname) {\@pcsendmessageleft};
	 \node[right=\@pcsendmessagelength of \@pcsendmessageleftname,PCSENDMSG-RIGHT-STYLE] (\@pcsendmessagerightname) {\@pcsendmessageright};
	 \path[#1,PCSENDMSG-PATH-STYLE] (\@pcsendmessageleftname) edge[] node[above,PCSENDMSG-TOP-STYLE] (\@pcsendmessagetopname) {\@pcsendmessagetop} node[below,PCSENDMSG-BOTTOM-STYLE] (\@pcsendmessagebottomname) {\@pcsendmessagebottom} (\@pcsendmessagerightname);
	\end{tikzpicture}%
}%
\end{varwidth}
\hspace{\@pcsendmessageafterskip}%
\endgroup%
}

\newcommandx*{\sendmessageright}[2][1=->]{%
\sendmessage{#1}{#2}%
}

\newcommandx*{\sendmessageleft}[2][1=<-]{%
\sendmessage{#1}{#2}%
}

\WithSuffix\newcommand\sendmessageleft*[2][\pcdefaultmessagelength]{%
\begingroup%
\renewcommand{\@pcsendmessagetop}{\let\halign\@pc@halign$\begin{aligned}#2\end{aligned}$}%
\sendmessage{<-}{length=#1}%
\endgroup%
}


\WithSuffix\newcommand\sendmessageright*[2][\pcdefaultmessagelength]{%
\begingroup%
\renewcommand{\@pcsendmessagetop}{\let\halign\@pc@halign$\begin{aligned}#2\end{aligned}$}%
\sendmessage{->}{length=#1}%
\endgroup%
}



\DeclareExpandableDocumentCommand{\sendmessagerightx}{O{\pcdefaultlongmessagelength}mO{}m}{%
\multicolumn{#2}{c}{\ensuremath{\hspace{\pcbeforemessageskip}\xrightarrow[\begin{aligned}#3\end{aligned}]{\mathmakebox[#1]{\begin{aligned}#4\end{aligned}}}\hspace{\pcaftermessageskip}}}
}

\DeclareExpandableDocumentCommand{\sendmessageleftx}{O{\pcdefaultlongmessagelength}mO{}m}{%
\multicolumn{#2}{c}{\ensuremath{\hspace{\pcbeforemessageskip}\xleftarrow[\begin{aligned}#3\end{aligned}]{\mathmakebox[#1]{\begin{aligned}#4\end{aligned}}}\hspace{\pcaftermessageskip}}}
}

%%%
% Division
\DeclareExpandableDocumentCommand{\pcintertext}{O{}m}{\intertext{%
\ifthenelse{\equal{#1}{center}}{\makebox[\linewidth][c]{#2}}{}%
\ifthenelse{\equal{#1}{dotted}}{\dotfill#2\dotfill}{}%
\ifthenelse{\equal{#1}{}}{#2}{}%
}\@pc@beginnewline}



%%%
% Games
%
\newcounter{pcstartgamecounter}


\newcommand*{\pcgameprocedurestyle}{} % define pseudocode arguments for game procedures

\newcommand*{\pcgamename}{\ensuremath{\mathsf{Game}}}
\newcommand*{\gameprocedurearg}{\ensuremath{(\secpar)}}
\newcommand*\@pcgameproofgamenr{0}
\define@key{pcgameproof}{nr}[]{\renewcommand*\@pcgameproofgamenr{#1}}
\define@key{pcgameproof}{name}[]{\renewcommand*\pcgamename{\ensuremath{#1}}}
\define@key{pcgameproof}{arg}[]{\renewcommand*\gameprocedurearg{\ensuremath{#1}}}

\newenvironment{gameproof}[1][]{%
\begingroup%
\setkeys{pcgameproof}{#1}%
\@pc@ensureremember%
\setcounter{pcgamecounter}{\@pcgameproofgamenr}%
\setcounter{pcstartgamecounter}{\@pcgameproofgamenr}\stepcounter{pcstartgamecounter}%
}{\@pc@releaseremember\endgroup}

\newcommand{\setgameproceduredefaultstyle}[1]{%
\createpseudocodecommand{gameprocedure}
  {\addtocounter{pcgamecounter}{1}\renewcommand{\@withingame}{true}}
  {\ensuremath{\pcgamename_{\thepcgamecounter}\gameprocedurearg}}
  {#1}
}
\setgameproceduredefaultstyle{}

\def\@bxgame@pseudocodeA[#1]#2#3{\setkeys*{pcspace}{#1}\renewcommand{\@bxgameheader}{$\pcgamename_{#2}$\gameprocedurearg}%
\@pseudocode[head=\ensuremath{\pcgamename_{\thepcgamecounter}\gameprocedurearg},#1]{#3}}
\def\@bxgame@pseudocodeB#1#2{\renewcommand{\@bxgameheader}{$\pcgamename_{#1}$\gameprocedurearg}%
\@pseudocode[head=\ensuremath{\pcgamename_{\thepcgamecounter}\gameprocedurearg}]{#2}}

\newcommand{\bxgameprocedure}{
\begingroup%
\renewcommand{\@withinspaces}{false}%
\renewcommand{\@withingame}{true}%
\renewcommand{\@withinbxgame}{true}%
\stepcounter{pcgamecounter}%
\@ifnextchar[%]
  {\@bxgame@pseudocodeA}
  {\@bxgame@pseudocodeB}%
}

\newcommand{\@pc@secondheader}{}

%tbx top boxed
\createpseudocodecommand{tbxgameprocedure}
  {\addtocounter{pcgamecounter}{1}\renewcommand{\@withingame}{true}%%
\renewcommand{\@pc@secondheader}{true}}
  {\ensuremath{\pcgamename_{\thepcgamecounter}\gameprocedurearg}}
{}


\newcommand*\@pcgamehopnodestyle{}
\newcommand*\@pcgamehopedgestyle{bend left}
\newcommand*\@pcgamehoppathestyle{}
\newcommand*\@pcgamehophint{}
\newcommand*\@pcgamehophintbelow{}
\newcommand*\@pcgamehopinhint{}
\newcommand*\@pcgamehoplength{1.5cm}
\define@key{pcgamehop}{nodestyle}[]{\renewcommand*\@pcgamehopnodestyle{#1}}
\define@key{pcgamehop}{edgestyle}[]{\renewcommand*\@pcgamehopedgestyle{#1}}
\define@key{pcgamehop}{pathstyle}[]{\renewcommand*\@pcgamehoppathestyle{#1}}
\define@key{pcgamehop}{hint}[]{\renewcommand*\@pcgamehophint{#1}}
\define@key{pcgamehop}{belowhint}[]{\renewcommand*\@pcgamehophintbelow{#1}}
\define@key{pcgamehop}{inhint}[]{\renewcommand*\@pcgamehopinhint{#1}}
\define@key{pcgamehop}{length}[]{\renewcommand*\@pcgamehoplength{#1}}


\newcommand{\@pc@setupgamehop}[1]{
\begingroup\setkeys{pcgamehop}{#1}%
\tikzset{GAMEHOP-PATH-STYLE/.style/.expand once=\@pcgamehoppathestyle}%
\tikzset{GAMEHOP-NODE-STYLE/.style/.expand once=\@pcgamehopnodestyle}%
\tikzset{GAMEHOP-EDGE-STYLE/.style/.expand once=\@pcgamehopedgestyle}%
}

\newcommand{\@pc@finalizegamehop}{
\endgroup
}

\newcommandx*{\addgamehop}[3]{%
\begingroup%
\ifthenelse{#1<#2}%
  {\ifthenelse{\equal{\@withingamedescription}{true}}%
   {\renewcommand*\@pcgamehopedgestyle{bend right=20}\renewcommand*\@pcgamehopnodestyle{rotate=90}}{}%
  }%
  {\renewcommand*\@pcgamehopedgestyle{bend right}}%
\@pc@setupgamehop{#3}%
\begin{tikzpicture}[overlay]%
\ifthenelse{#1<#2}{%
       \path[->,GAMEHOP-PATH-STYLE] (gamenode#1) edge[GAMEHOP-EDGE-STYLE] node[above,GAMEHOP-NODE-STYLE] {\@pcgamehophint}
       node[below,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (gamenode#2);
}{%
 	 \path[->,GAMEHOP-PATH-STYLE] (bgamenode#1) edge[GAMEHOP-EDGE-STYLE] node[above,GAMEHOP-NODE-STYLE] {\@pcgamehophint}
	 node[above,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (bgamenode#2);
}%
\end{tikzpicture}%
\@pc@finalizegamehop%
\endgroup%
}
\newcommandx*{\addstartgamehop}[2][1=\thepcstartgamecounter]{%
\@pc@setupgamehop{#2}
\begin{tikzpicture}[overlay]
       \node[left=\@pcgamehoplength of gamenode#1] (tmpgamenode0) {};
       \path[->,GAMEHOP-PATH-STYLE] (tmpgamenode0) edge[GAMEHOP-EDGE-STYLE] node[above,GAMEHOP-NODE-STYLE] {\@pcgamehophint}
       node[below,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (gamenode#1);
\end{tikzpicture}
\@pc@finalizegamehop
}
\newcommandx*{\addendgamehop}[2][1=\thepcgamecounter]{%
\@pc@setupgamehop{#2}
\begin{tikzpicture}[overlay]
       \node[right=\@pcgamehoplength of gamenode#1] (tmpgamenode#1) {};
       \path[->,GAMEHOP-PATH-STYLE] (gamenode#1) edge[GAMEHOP-EDGE-STYLE] node[above,GAMEHOP-NODE-STYLE] {\@pcgamehophint}
       node[below,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (tmpgamenode#1);
\end{tikzpicture}
\@pc@finalizegamehop
}
\newcommandx*{\addbxgamehop}[3]{%
\@pc@setupgamehop{#3}
\begin{tikzpicture}[overlay]
       \path[->,GAMEHOP-PATH-STYLE] (bgamenode#1) edge[GAMEHOP-EDGE-STYLE] node[above,GAMEHOP-NODE-STYLE]] {\@pcgamehophint}
       node[below,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (bgamenode#2);
\end{tikzpicture}
\@pc@finalizegamehop
}
\newcommandx*{\addloopgamehop}[2][1=\thepcgamecounter]{%
\@pc@setupgamehop{#2}
\begin{tikzpicture}[overlay]
       \node (looptemp1)  [right=0.5cm of gamenode#1] {};
       \draw[->,GAMEHOP-PATH-STYLE] (gamenode#1) -- (looptemp1|-gamenode#1) -- node[right,GAMEHOP-NODE-STYLE] {\@pcgamehophint}
       node[left,GAMEHOP-NODE-STYLE] {\@pcgamehophintbelow} (looptemp1|-bgamenode#1)-- (bgamenode#1);
\end{tikzpicture}
\@pc@finalizegamehop
}


%%%%%%%%
% game description
\newenvironment{gamedescription}[1][]{%
\begingroup%
\setkeys{pcgameproof}{#1}
\renewcommand{\@withingamedescription}{true}%
\@pc@ensureremember%
\setcounter{pcgamecounter}{\@pcgameproofgamenr}%
\setcounter{pcstartgamecounter}{\@pcgameproofgamenr}\stepcounter{pcstartgamecounter}%
\begin{description}%
}{\end{description}\@pc@releaseremember\endgroup}

\newcommandx*{\describegame}[1][1=]{%
\addtocounter{pcgamecounter}{1}%
\item[%
\pcdraw{
\gdef\i{\thepcgamecounter}%
\node[inner sep=0.0em,outer sep=0, xshift=-1ex, yshift=0.5ex] (gamenode\i) {};
}%
\ensuremath{\pcgamename_{\thepcgamecounter}\gameprocedurearg}:]%
\begingroup\setkeys{pcgamehop}{#1}%
\ifthenelse{\equal{}{\@pcgamehophint}}
  {}
  {\hspace{-0.7ex}\pcdraw{%the -0.7ex is a horrible hack to fix a whitespace issue with tikz (see http://tex.stackexchange.com/questions/22873/tikzpicture-with-overlay-takes-up-space
\tikzset{GAMEHOP-PATH-STYLE/.style/.expand once=\@pcgamehoppathestyle}%
\tikzset{GAMEHOP-NODE-STYLE/.style/.expand once=\@pcgamehopnodestyle}%
\draw[->,GAMEHOP-PATH-STYLE] (gamenode\thepcgamecounter) --++ (0,-\@pcgamehoplength) node[midway,above,xshift=-1mm,rotate=90,GAMEHOP-NODE-STYLE]  {\@pcgamehophint};
}}%
\ifthenelse{\equal{}{\@pcgamehopinhint}}
  {}
  {\hspace{-0.7ex}\pcdraw{%the -0.7ex is a horrible hack to fix a whitespace issue with tikz (see http://tex.stackexchange.com/questions/22873/tikzpicture-with-overlay-takes-up-space
\tikzset{GAMEHOP-PATH-STYLE/.style/.expand once=\@pcgamehoppathestyle}%
\tikzset{GAMEHOP-NODE-STYLE/.style/.expand once=\@pcgamehopnodestyle}%
\draw[<-,GAMEHOP-PATH-STYLE] (gamenode\thepcgamecounter) --++ (0,\@pcgamehoplength) node[midway,above,xshift=-1mm,rotate=90,GAMEHOP-NODE-STYLE]  {\@pcgamehopinhint};
}%
}%
\endgroup%
}






%%%%%%%%
% basic pseudocode constants

\newcommand{\highlightkeyword}[2][\ ]{\ensuremath{\mathbf{#2}}#1}
\newcommand{\highlightaltkeyword}[1]{\ensuremath{\mathsf{#1}}}

\newcommand{\pcglobvar}{\highlightkeyword{gbl}}
\newcommand{\pcnew}{\highlightkeyword{new}}
\newcommand{\pcwhile}{\@pc@increaseindent\highlightkeyword{while}}
\newcommand{\pcendwhile}{\@pc@decreaseindent\highlightkeyword{endwhile}}
\newcommandx*{\pcdo}[2][1=\ ,2=]{#1\highlightkeyword[#2]{do}}
\newcommandx*{\pcif}[1][1=\ ]{\@pc@increaseindent\highlightkeyword[#1]{if}}
\newcommandx*{\pcunless}[1][1=\ ]{\@pc@increaseindent\highlightkeyword[#1]{unless}}
\newcommandx*{\pcelse}[1][1=\ ]{\@pc@tmpdecreaseindent\highlightkeyword[#1]{else}}
\newcommandx*{\pcelseif}[1][1=\ ]{\@pc@tmpdecreaseindent\highlightkeyword[#1]{else if}}
\newcommand{\pcfi}{\@pc@decreaseindent\highlightkeyword{fi}}
\newcommand{\pcendif}{\@pc@decreaseindent\highlightkeyword{endif}}
\newcommand{\pcendfor}{\@pc@decreaseindent\highlightkeyword{endfor}}
\newcommandx*{\pcthen}[2][1=\ ,2=\ ]{#1\highlightkeyword[#2]{then}}
\newcommand{\pcreturn}{\highlightkeyword{return}}
\newcommandx*{\pcin}[2][1=\ ,2=]{#1\highlightkeyword[#2]{in}}
\newcommand{\pcfor}{\@pc@increaseindent\highlightkeyword{for}}
\newcommand{\pcrepeat}[1]{\@pc@increaseindent\ensuremath{\highlightkeyword{repeat} #1\ \highlightkeyword{times}}}
\newcommand{\pcrepeatuntil}[2]{\ensuremath{\highlightkeyword{repeat}\ #1\ \highlightkeyword{until}\ #2}}
\newcommand{\pcforeach}{\@pc@increaseindent\highlightkeyword{foreach}}
\newcommand{\pcendforeach}{\@pc@decreaseindent\highlightkeyword{endforeach}}
\newcommand{\pcuntil}{\@pc@decreaseindent\highlightkeyword{until}}
\newcommand{\pccontinue}{\highlightkeyword{continue}}
\newcommandx*{\pcfalse}[2][1=\ ,2=]{\highlightkeyword[#2]{false}}
\newcommandx*{\pctrue}[2][1=\ ,2=]{\highlightkeyword[#2]{true}}
\newcommandx*{\pcnull}[2][1=\ ,2=]{\highlightkeyword[#2]{null}}
\newcommand{\pccomment}[1]{{\mbox{/\!\!/ } \text{\scriptsize#1}}}
\newcommand{\pcdone}{\highlightkeyword{done}}
\newcommand{\pcparse}{\highlightkeyword{parse}}
\newcommand{\pcfail}{\highlightkeyword{fail}}
\newcommand{\pcabort}{\highlightkeyword{abort}}

%%%
% highlighting
\definecolor{gamechangecolor}{gray}{0.90}
\newcommand{\gamechange}[2][gamechangecolor]{%
{\setlength{\fboxsep}{0pt}\colorbox{#1}{\ifmmode$\displaystyle#2$\else#2\fi}}%
}

%%%
% boxing
\newcommand{\pcbox}[1]{%
{\setlength{\fboxsep}{3pt}\fbox{$\displaystyle#1$}}
}

\endinput