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cryptocode.sty
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cryptocode.sty
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%% 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}{%