From 327afc9fede0d1000ae5402bb80deaa057adeb7c Mon Sep 17 00:00:00 2001 From: =?utf8?q?S=C3=A9bastien=20Miqu=C3=A9e?= Date: Tue, 14 Dec 2010 16:50:26 +0100 Subject: [PATCH] Initial version of the paper. --- biblio.bib | 390 + figures/eau_02_to_24.pdf | Bin 0 -> 14358 bytes figures/eau_24_2.pdf | Bin 0 -> 310034 bytes figures/neurad.eps | 21115 +++++++++++++++++++++++++++++++++++ figures/neurad.pdf | Bin 0 -> 767003 bytes figures/neurad_gridif.eps | 788 ++ figures/neurad_gridif.fig | 251 + figures/neurad_gridif.pdf | Bin 0 -> 12386 bytes figures/overlap.pdf | Bin 0 -> 9789 bytes figures/ta6v4_02_to_24.pdf | Bin 0 -> 14200 bytes figures/testC.eps | 16871 ++++++++++++++++++++++++++++ figures/testC.pdf | Bin 0 -> 120950 bytes gpc2011.tex | 217 + llncs.cls | 1190 ++ plpo | 1 - 15 files changed, 40822 insertions(+), 1 deletion(-) create mode 100644 biblio.bib create mode 100644 figures/eau_02_to_24.pdf create mode 100644 figures/eau_24_2.pdf create mode 100644 figures/neurad.eps create mode 100644 figures/neurad.pdf create mode 100644 figures/neurad_gridif.eps create mode 100644 figures/neurad_gridif.fig create mode 100644 figures/neurad_gridif.pdf create mode 100644 figures/overlap.pdf create mode 100644 figures/ta6v4_02_to_24.pdf create mode 100644 figures/testC.eps create mode 100644 figures/testC.pdf create mode 100644 gpc2011.tex create mode 100644 llncs.cls delete mode 100644 plpo diff --git a/biblio.bib b/biblio.bib new file mode 100644 index 0000000..3fc3e74 --- /dev/null +++ b/biblio.bib @@ -0,0 +1,390 @@ +@Article{OW85, + author = {D. 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Special Issue on Performance Modelling and Evaluation of Parallel and Distributed Systems}, + year = {2006}, + volume = {35}, + number = {3}, + pages = {227-244}, +} + + +@PhdThesis{pv2006, + author = {Philippe Vuillemin}, + title = {Calcul itératif asynchrone sur infrastructure pair-à-pair : la plate-forme JaceP2P}, + school = {Université de Franche-Comté}, + year = {2006}, + OPTkey = {}, + OPTtype = {}, + OPTaddress = {}, + OPTmonth = {}, + OPTnote = {}, + OPTannote = {} +} + +@Book{bookbcc, + author = {J. M. Bahi and S. Contassot-Vivier and R. Couturier}, + title = {Parallel Iterative Algorithms; From Sequential to Grid Computing}, + publisher = {Chapman and Hall/CRC}, + year = {2007}, +} + + + +@Article{cfhl:00, + author = {B. Carpenter and G. Fox and S. H. Ko and S. 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M.}, + title = {Dose calculations using artificial neural networks: a feasibility study for photon beams}, + journal = {Nucl. Instr. and Meth. in Phys. Res. B}, + year = {2008}, + volume = {266}, + number = {7}, + pages = {1085-1093} +} + + +@inproceedings{ICANN10, + editor = {Konstantinos Diamantaras and Wlodek Duch and Lazaros +S. Iliadis}, + booktitle = {Artificial Neural Networks -- ICANN 2010}, + publisher = {Springer}, + location = {Heidelberg}, + series = {Lecture Notes in Computer Science}, + volume = 6352, + year = 2010, + isbn = {978-3-642-15818-6}, + author = {M. Sauget and R. Laurent and J. Henriet +and M. Salomon and R. Gschwind and S. Contassot-Vivier and L. Makovicka and C. Soussen}, + title = {Efficient Domain Decomposition for a Neural Network +Learning Algorithm, Used for the Dose Evaluation in External +Radiotherapy}, + pages = {261--266} +} + + +@Misc{BEAM, + author = {BEAM-nrc}, + title = {{NRC} of {C}anada}, + howpublished = { \\ {\tt http://www.irs.inms.nrc.ca/BEAM/beamhome.html}} +} diff --git a/figures/eau_02_to_24.pdf b/figures/eau_02_to_24.pdf new file mode 100644 index 0000000000000000000000000000000000000000..851d5f0709e53e6329649cfabb2146177bd535a3 GIT binary patch literal 14358 zcmb`ubzD^4*EbB(Lk*zh07DKvGlVd7gMf4+NQczG3@M$0bf+Sqs7Q)*w}_+&BGL`g zNW(jNUB7(p&-*-o+~<#B&syIVd#}CrI)_<@Lt9aqA1)va;ON^7ouZwMyRDtHGysM6w6k&r_~xYt-b-OeAeW^c zCNo=-{93`2Og)ZBqqC?cTL!IO*u1U9dZy#Tt;XCqNV${HV;G6O|NQwzx(wCz`(hrf(lR$oH$h1kXAf`obxeaNYNb&d71A=n!ONq4&Tb9?!I#ey&*>#5&(3bPtAcMP z+kCf;YQ9|=JaQiEN0i1H(RW!`Y^teST#No(DU({jVQceb)N4KA@hclX&v7lj!ss=d zHSzZUsVnUe{4)7ys5{mX%i`?b>! zneb112RKD5!xk1FoAj4)e!h1dj0%wJ65;>Ll@^&MzD_0+{N21-MM|}F 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0000000..2f091fb --- /dev/null +++ b/gpc2011.tex @@ -0,0 +1,217 @@ +\documentclass{llncs} +%\usepackage{latex8} +%\usepackage{times} +%\documentclass[a4paper,11pt]{article} +%\usepackage{fullpage} +\usepackage[T1]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{graphicx,subfigure,graphics} +\usepackage{epsfig} +%\usepackage[usenames]{color} +%\usepackage{latexsym,stmaryrd} +%\usepackage{amsfonts,amssymb} +\usepackage{verbatim,theorem,moreverb} +%\usepackage{float,floatflt} +\usepackage{boxedminipage} +\usepackage{url} +%\usepackage{psfig} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{algorithm} +\usepackage{algorithmic} +%\usepackage{floatfig} +%\usepackage{picins} + + + +\def\sfixme#1{\fbox{\textbf{FIXME: }#1}} + +\newcommand{\fixme}[1]{% + \begin{center} + \begin{boxedminipage}{.8\linewidth} + \textsl{{\bf #1}} + \end{boxedminipage} + \end{center} +} +\newcommand{\FIXME}[1]{\marginpar[\null\hspace{2cm} FIXME]{FIXME} \fixme{#1}} + +%\psfigurepath{.:fig:IMAGES} +\graphicspath{{.}{fig/}{IMAGES/}} + +%\initfloatingfigs + +\begin{document} + +\title{Gridification of a Radiotherapy Dose Computation Application with the XtremWeb-CH Environment} + +\author{Nabil Abdennhader\inst{1} \and Raphaël Couturier\inst{1} \and David \and + Julien Henriet\inst{2} \and Laiymani\inst{1} \and Sébastien Miquée\inst{1} + \and Marc Sauget\inst{2}} + +\institute{Laboratoire d'Informatique de l'universit\'{e} + de Franche-Comt\'{e} \\ + IUT Belfort-Montbéliard, Rue Engel Gros, 90016 Belfort - France \\ +\email{raphael.couturier, david.laiymani, sebastien.miquee@univ-fcomte.fr} +\and + FEMTO-ST, ENISYS/IRMA, F-25210 Montb\'{e}liard , FRANCE\\ +} +%\email{\texttt{[laiymani]@lifc.univ-fcomte.fr}}} + + +\maketitle + +\begin{abstract} + +\end{abstract} + +%-------------INTRODUCTION-------------------- +\section{Introduction} + +The use of distributed architectures for solving large scientific problems seems +to become mandatory in a lot of cases. For example, in the domain of +radiotherapy dose computation the problem is crucial. The main goal of external +beam radiotherapy is the treatment of tumours while minimizing exposure to +healthy tissue. Dosimetric planning has to be carried out in order to optimize +the dose distribution within the patient is necessary. Thus, for determining the +most accurate dose distribution during treatment planning, a compromise must be +found between the precision and the speed of calculation. Current techniques, +using analytic methods, models and databases, are rapid but lack +precision. Enhanced precision can be achieved by using calculation codes based, +for example, on Monte Carlo methods. In [] the authors proposed a novel approach +based on the use of neural networks. The approach is based on the collaboration +of computation codes and multi-layer neural networks used as universal +approximators. It provides a fast and accurate evaluation of radiation doses in +any given environment for given irradiation parameters. As the learning step is +often very time consumming, in \cite{bcvsv08:ip} the authors proposed a parallel +algorithm that enable to decompose the learning domain into subdomains. The +decomposition has the advantage to significantly reduce the complexity of the +target functions to approximate. + +Now, as there exist several classes of distributed/parallel architectures +(supercomputers, clusters, global computing...) we have to choose the best +suited one for the parallel Neurad application. The Global or Volunteer +computing model seems to be an interesting approach. Here, the computing power +is obtained by agregating unused (or volunteer) public resources connected to +the Internet. For our case, we can imagine for example, that a part of the +architecture will be composed of some of the different computers of the +hospital. This approach present the advantage to be clearly cheaper than a more +dedicated approach like the use of supercomputer or clusters. + +The aim of this paper is to propose and evaluate a gridification of the Neurad +application (more precisely, of the most time consuming part, the learning step) +using a Global computing approach. For this, we focus on the XtremWeb-CH +environnement []. We choose this environnent because it tackles the centralized +aspect of other global computing environments such as XTremWeb [] or Seti []. It +tends to a peer-to-peer approach by distributing some components of the +architecture. For instance, the computing nodes are allowed to directly +communicate. Experimentations were conducted on a real Global Computing +testbed. The results are very encouraging. They exhibit an interesting speed-up +and show that the overhead induced by the use of XTremWeb-CH is very acceptable. + +The paper is organized as follows. In section 2 we present the Neurad +application and particularly it most time consuming part i.e. the learning +step. Section 3 details the XtremWeb-CH environnement while in section 4 we +expose the gridification of the Neurad application. Experimental results are +presented in section 5 and we end in section 6 by some concluding remarks and +perspectives. + +\section{The Neurad application} + +\begin{figure}[http] + \centering + \includegraphics[width=0.7\columnwidth]{figures/neurad.pdf} + \caption{The Neurad projects} + \label{f_neurad} +\end{figure} + +The \emph{Neurad}~\cite{Neurad} project presented in this paper takes place in a +multi-disciplinary project , involving medical physicists and computer +scientists whose goal is to enhance the treatment planning of cancerous tumors +by external radiotherapy. In our previous +works~\cite{RADIO09,ICANN10,NIMB2008}, we have proposed an original approach to +solve scientific problems whose accurate modeling and/or analytical description +are difficult. That method is based on the collaboration of computational codes +and neural networks used as universal interpolator. Thanks to that method, the +\emph{Neurad} software provides a fast and accurate evaluation of radiation +doses in any given environment (possibly inhomogeneous) for given irradiation +parameters. We have shown in a previous work (\cite{AES2009}) the interest to +use a distributed algorithm for the neural network learning. We use a classical +RPROP algorithm with a HPU topology to do the training of our neural network. + +The Figure~\ref{f_neurad} presents the {\it{Neurad}} scheme. Three parts are +clearly independant : the initial data production, the learning process and the +dose deposit evaluation. The first step, the data production, is outside the +{\it{Neurad}} project. They are many solutions to obtains data about the +radiotherapy treatments like the measure or the simulation. The only essential +criterion is that the result must be obtain in a homogeneous environment. We +have chosen to use only a Monte Carlo simulation because this tools are the +references in the radiotherapy domains. The advantages to use data obtain with a +Monte Carlo simulator are the following : accuracy, profusing, quantify error +and regularity of measure point. But, they are too disagreement and the most +important is the statistical noise forcing a data post treatment. The +Figure~\ref{f_tray} present the general behavior of a dose deposit in water. + + +\begin{figure}[http] + \centering + \includegraphics[width=0.7\columnwidth]{figures/testC.pdf} + \caption{Dose deposit by a photon beam of 24 mm of width in water (Normalized value). } + \label{f_tray} +\end{figure} + +The secondary stage of the {\it{Neurad}} project is about the learning step and +it is the most time consuming step. This step is off-line but is it important to +reduce the time used for the learning process to keep a workable tools. Indeed, +if the learning time is too important (for the moment, this time could reach one +week for a limited works domain), the use of this process could be be limited +only at a major modification of the use context. However, it is interesting to +do an update to the learning process when the bound of the learning domain +evolves (evolution in material used for the prosthesis or evolution on the beam +(size, shape or energy)). The learning time is linked with the volume of data +who could be very important in real medical context. We have work to reduce +this learning time with a parallel method of the learning process using a +partitioning method of the global dataset. The goal of this method is to train +many neural networks on sub-domain of the global dataset. After this training, +the use of this neural networks together allows to obtain a response for the +global domain of study. + + +\begin{figure}[h] + \centering + \includegraphics[width=0.5\columnwidth]{figures/overlap.pdf} + \caption{Overlapping for a sub-network in a two-dimensional domain with ratio + $\alpha$.} + \label{fig:overlap} +\end{figure} + + +However, performing the learnings on sub-domains constituting a partition of the +initial domain is not satisfying according to the quality of the results. This +comes from the fact that the accuracy of the approximation performed by a neural +network is not constant over the learned domain. Thus, it is necessary to use +an overlapping of the sub-domains. The overall principle is depicted in +Figure~\ref{fig:overlap}. In this way, each sub-network has an exploitation +domain smaller than its training domain and the differences observed at the +borders are no longer relevant. Nonetheless, in order to preserve the +performances of the parallel algorithm, it is important to carefully set the +overlapping ratio $\alpha$. It must be large enough to avoid the border's +errors, and as small as possible to limit the size increase of the data subsets. + + + + + +\section{The XtremWeb-CH environment} +\section{Neurad gridification with XTremweb-ch} +\section{Experimental results} +\section{Conclusion and future works} + + + +\bibliographystyle{plain} +\bibliography{biblio} + + + +\end{document} diff --git a/llncs.cls b/llncs.cls new file mode 100644 index 0000000..23fd1c6 --- /dev/null +++ b/llncs.cls @@ -0,0 +1,1190 @@ +% LLNCS DOCUMENT CLASS -- version 2.14 (17-Aug-2004) +% Springer Verlag LaTeX2e support for Lecture Notes in Computer Science +% +%% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! 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Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +%% +\NeedsTeXFormat{LaTeX2e}[1995/12/01] +\ProvidesClass{llncs}[2004/08/17 v2.14 +^^J LaTeX document class for Lecture Notes in Computer Science] +% Options +\let\if@envcntreset\iffalse +\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue} +\DeclareOption{citeauthoryear}{\let\citeauthoryear=Y} +\DeclareOption{oribibl}{\let\oribibl=Y} +\let\if@custvec\iftrue +\DeclareOption{orivec}{\let\if@custvec\iffalse} +\let\if@envcntsame\iffalse +\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue} +\let\if@envcntsect\iffalse +\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue} +\let\if@runhead\iffalse +\DeclareOption{runningheads}{\let\if@runhead\iftrue} + +\let\if@openbib\iffalse +\DeclareOption{openbib}{\let\if@openbib\iftrue} + +% languages +\let\switcht@@therlang\relax +\def\ds@deutsch{\def\switcht@@therlang{\switcht@deutsch}} +\def\ds@francais{\def\switcht@@therlang{\switcht@francais}} + +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}} + +\ProcessOptions + +\LoadClass[twoside]{article} +\RequirePackage{multicol} % needed for the list of participants, index + +\setlength{\textwidth}{12.2cm} +\setlength{\textheight}{19.3cm} +\renewcommand\@pnumwidth{2em} +\renewcommand\@tocrmarg{3.5em} +% +\def\@dottedtocline#1#2#3#4#5{% + \ifnum #1>\c@tocdepth \else + \vskip \z@ \@plus.2\p@ + {\leftskip #2\relax \rightskip \@tocrmarg \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \parindent #2\relax\@afterindenttrue + \interlinepenalty\@M + \leavevmode + \@tempdima #3\relax + \advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip + {#4}\nobreak + \leaders\hbox{$\m@th + \mkern \@dotsep mu\hbox{.}\mkern \@dotsep + 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+\def\remarkname{Remark} +\def\seename{see} +\def\solutionname{Solution} +\def\subclassname{{\it Subject Classifications\/}:} +\def\tablename{Table} +\def\theoremname{Theorem}} +\switcht@albion +% Names of theorem like environments are already defined +% but must be translated if another language is chosen +% +% French section +\def\switcht@francais{%\typeout{On parle francais.}% + \def\abstractname{R\'esum\'e.}% + \def\ackname{Remerciements.}% + \def\andname{et}% + \def\lastandname{ et}% + \def\appendixname{Appendice} + \def\chaptername{Chapitre}% + \def\claimname{Pr\'etention}% + \def\conjecturename{Hypoth\`ese}% + \def\contentsname{Table des mati\`eres}% + \def\corollaryname{Corollaire}% + \def\definitionname{D\'efinition}% + \def\examplename{Exemple}% + \def\exercisename{Exercice}% + \def\figurename{Fig.}% + \def\keywordname{{\bf Mots-cl\'e:}} + \def\indexname{Index} + \def\lemmaname{Lemme}% + \def\contriblistname{Liste des contributeurs} + \def\listfigurename{Liste des figures}% + \def\listtablename{Liste des tables}% + \def\mailname{{\it Correspondence to\/}:} + \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}% + \def\notename{Remarque}% + \def\partname{Partie}% + \def\problemname{Probl\`eme}% + \def\proofname{Preuve}% + \def\propertyname{Caract\'eristique}% +%\def\propositionname{Proposition}% + \def\questionname{Question}% + \def\remarkname{Remarque}% + \def\seename{voir} + \def\solutionname{Solution}% + \def\subclassname{{\it Subject Classifications\/}:} + \def\tablename{Tableau}% + \def\theoremname{Th\'eor\`eme}% +} +% +% German section +\def\switcht@deutsch{%\typeout{Man spricht deutsch.}% + \def\abstractname{Zusammenfassung.}% + \def\ackname{Danksagung.}% + \def\andname{und}% + \def\lastandname{ und}% + \def\appendixname{Anhang}% + \def\chaptername{Kapitel}% + \def\claimname{Behauptung}% + \def\conjecturename{Hypothese}% + \def\contentsname{Inhaltsverzeichnis}% + \def\corollaryname{Korollar}% +%\def\definitionname{Definition}% + \def\examplename{Beispiel}% + \def\exercisename{\"Ubung}% + \def\figurename{Abb.}% + \def\keywordname{{\bf Schl\"usselw\"orter:}} + \def\indexname{Index} +%\def\lemmaname{Lemma}% + \def\contriblistname{Mitarbeiter} + \def\listfigurename{Abbildungsverzeichnis}% + \def\listtablename{Tabellenverzeichnis}% + \def\mailname{{\it Correspondence to\/}:} + \def\noteaddname{Nachtrag}% + \def\notename{Anmerkung}% + \def\partname{Teil}% +%\def\problemname{Problem}% + \def\proofname{Beweis}% + \def\propertyname{Eigenschaft}% +%\def\propositionname{Proposition}% + \def\questionname{Frage}% + \def\remarkname{Anmerkung}% + \def\seename{siehe} + \def\solutionname{L\"osung}% + \def\subclassname{{\it Subject Classifications\/}:} + \def\tablename{Tabelle}% +%\def\theoremname{Theorem}% +} + +% Ragged bottom for the actual page +\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil +\global\let\@textbottom\relax}} + +\renewcommand\small{% + \@setfontsize\small\@ixpt{11}% + \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@ + \abovedisplayshortskip \z@ \@plus2\p@ + \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@ + \def\@listi{\leftmargin\leftmargini + \parsep 0\p@ \@plus1\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep0\p@}% + \belowdisplayskip \abovedisplayskip +} + +\frenchspacing +\widowpenalty=10000 +\clubpenalty=10000 + +\setlength\oddsidemargin {63\p@} +\setlength\evensidemargin {63\p@} +\setlength\marginparwidth {90\p@} + +\setlength\headsep {16\p@} + +\setlength\footnotesep{7.7\p@} +\setlength\textfloatsep{8mm\@plus 2\p@ \@minus 4\p@} +\setlength\intextsep {8mm\@plus 2\p@ \@minus 2\p@} + +\setcounter{secnumdepth}{2} + +\newcounter {chapter} +\renewcommand\thechapter {\@arabic\c@chapter} + +\newif\if@mainmatter \@mainmattertrue +\newcommand\frontmatter{\cleardoublepage + \@mainmatterfalse\pagenumbering{Roman}} +\newcommand\mainmatter{\cleardoublepage + \@mainmattertrue\pagenumbering{arabic}} +\newcommand\backmatter{\if@openright\cleardoublepage\else\clearpage\fi + \@mainmatterfalse} + +\renewcommand\part{\cleardoublepage + \thispagestyle{empty}% + \if@twocolumn + \onecolumn + \@tempswatrue + \else + \@tempswafalse + \fi + \null\vfil + \secdef\@part\@spart} + +\def\@part[#1]#2{% + \ifnum \c@secnumdepth >-2\relax + \refstepcounter{part}% + \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}% + \else + \addcontentsline{toc}{part}{#1}% + \fi + \markboth{}{}% + {\centering + \interlinepenalty \@M + \normalfont + \ifnum \c@secnumdepth >-2\relax + \huge\bfseries \partname~\thepart + \par + \vskip 20\p@ + \fi + \Huge \bfseries #2\par}% + \@endpart} +\def\@spart#1{% + {\centering + \interlinepenalty \@M + \normalfont + \Huge \bfseries #1\par}% + \@endpart} +\def\@endpart{\vfil\newpage + \if@twoside + \null + \thispagestyle{empty}% + \newpage + \fi + \if@tempswa + \twocolumn + \fi} + +\newcommand\chapter{\clearpage + \thispagestyle{empty}% + \global\@topnum\z@ + \@afterindentfalse + \secdef\@chapter\@schapter} +\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \refstepcounter{chapter}% + \typeout{\@chapapp\space\thechapter.}% + \addcontentsline{toc}{chapter}% + {\protect\numberline{\thechapter}#1}% + \else + \addcontentsline{toc}{chapter}{#1}% + \fi + \else + \addcontentsline{toc}{chapter}{#1}% + \fi + \chaptermark{#1}% + \addtocontents{lof}{\protect\addvspace{10\p@}}% + \addtocontents{lot}{\protect\addvspace{10\p@}}% + \if@twocolumn + \@topnewpage[\@makechapterhead{#2}]% + \else + \@makechapterhead{#2}% + \@afterheading + \fi} +\def\@makechapterhead#1{% +% \vspace*{50\p@}% + {\centering + \ifnum \c@secnumdepth >\m@ne + \if@mainmatter + \large\bfseries \@chapapp{} \thechapter + \par\nobreak + \vskip 20\p@ + \fi + \fi + \interlinepenalty\@M + \Large \bfseries #1\par\nobreak + \vskip 40\p@ + }} +\def\@schapter#1{\if@twocolumn + \@topnewpage[\@makeschapterhead{#1}]% + \else + \@makeschapterhead{#1}% + \@afterheading + \fi} +\def\@makeschapterhead#1{% +% \vspace*{50\p@}% + {\centering + \normalfont + \interlinepenalty\@M + \Large \bfseries #1\par\nobreak + \vskip 40\p@ + }} + +\renewcommand\section{\@startsection{section}{1}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {12\p@ \@plus 4\p@ \@minus 4\p@}% + {\normalfont\large\bfseries\boldmath + \rightskip=\z@ \@plus 8em\pretolerance=10000 }} +\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {8\p@ \@plus 4\p@ \@minus 4\p@}% + {\normalfont\normalsize\bfseries\boldmath + \rightskip=\z@ \@plus 8em\pretolerance=10000 }} +\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-18\p@ \@plus -4\p@ \@minus -4\p@}% + {-0.5em \@plus -0.22em \@minus -0.1em}% + {\normalfont\normalsize\bfseries\boldmath}} +\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}% + {-12\p@ \@plus -4\p@ \@minus -4\p@}% + {-0.5em \@plus -0.22em \@minus -0.1em}% + {\normalfont\normalsize\itshape}} +\renewcommand\subparagraph[1]{\typeout{LLNCS warning: You should not use + \string\subparagraph\space with this class}\vskip0.5cm +You should not use \verb|\subparagraph| with this class.\vskip0.5cm} + +\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00} +\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01} +\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02} +\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03} +\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04} +\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05} +\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06} +\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07} +\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08} +\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09} +\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A} + +\let\footnotesize\small + +\if@custvec +\def\vec#1{\mathchoice{\mbox{\boldmath$\displaystyle#1$}} +{\mbox{\boldmath$\textstyle#1$}} +{\mbox{\boldmath$\scriptstyle#1$}} +{\mbox{\boldmath$\scriptscriptstyle#1$}}} +\fi + +\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}} +\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil +\penalty50\hskip1em\null\nobreak\hfil\squareforqed +\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi} + +\def\getsto{\mathrel{\mathchoice {\vcenter{\offinterlineskip +\halign{\hfil +$\displaystyle##$\hfil\cr\gets\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr\gets +\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr\gets +\cr\to\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +\gets\cr\to\cr}}}}} +\def\lid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil +$\displaystyle##$\hfil\cr<\cr\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr<\cr +\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr<\cr +\noalign{\vskip1pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +<\cr +\noalign{\vskip0.9pt}=\cr}}}}} +\def\gid{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil +$\displaystyle##$\hfil\cr>\cr\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr>\cr +\noalign{\vskip1.2pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr>\cr +\noalign{\vskip1pt}=\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +>\cr +\noalign{\vskip0.9pt}=\cr}}}}} +\def\grole{\mathrel{\mathchoice {\vcenter{\offinterlineskip +\halign{\hfil +$\displaystyle##$\hfil\cr>\cr\noalign{\vskip-1pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\textstyle##$\hfil\cr +>\cr\noalign{\vskip-1pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle##$\hfil\cr +>\cr\noalign{\vskip-0.8pt}<\cr}}} +{\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$\hfil\cr +>\cr\noalign{\vskip-0.3pt}<\cr}}}}} +\def\bbbr{{\rm I\!R}} %reelle Zahlen +\def\bbbm{{\rm I\!M}} +\def\bbbn{{\rm I\!N}} %natuerliche Zahlen +\def\bbbf{{\rm I\!F}} +\def\bbbh{{\rm I\!H}} +\def\bbbk{{\rm I\!K}} +\def\bbbp{{\rm I\!P}} +\def\bbbone{{\mathchoice {\rm 1\mskip-4mu l} {\rm 1\mskip-4mu l} +{\rm 1\mskip-4.5mu l} {\rm 1\mskip-5mu l}}} +\def\bbbc{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm C$}\hbox{\hbox +to0pt{\kern0.4\wd0\vrule height0.9\ht0\hss}\box0}}}} +\def\bbbq{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm +Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.8\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm Q$}\hbox{\raise +0.15\ht0\hbox to0pt{\kern0.4\wd0\vrule height0.7\ht0\hss}\box0}}}} +\def\bbbt{{\mathchoice {\setbox0=\hbox{$\displaystyle\rm +T$}\hbox{\hbox to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm T$}\hbox{\hbox +to0pt{\kern0.3\wd0\vrule height0.9\ht0\hss}\box0}}}} +\def\bbbs{{\mathchoice +{\setbox0=\hbox{$\displaystyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox +to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} +{\setbox0=\hbox{$\textstyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\hbox +to0pt{\kern0.55\wd0\vrule height0.5\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptstyle \rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.35\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox +to0pt{\kern0.5\wd0\vrule height0.45\ht0\hss}\box0}} +{\setbox0=\hbox{$\scriptscriptstyle\rm S$}\hbox{\raise0.5\ht0\hbox +to0pt{\kern0.4\wd0\vrule height0.45\ht0\hss}\raise0.05\ht0\hbox +to0pt{\kern0.55\wd0\vrule height0.45\ht0\hss}\box0}}}} +\def\bbbz{{\mathchoice {\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} +{\hbox{$\mathsf\textstyle Z\kern-0.4em Z$}} +{\hbox{$\mathsf\scriptstyle Z\kern-0.3em Z$}} +{\hbox{$\mathsf\scriptscriptstyle Z\kern-0.2em Z$}}}} + +\let\ts\, + +\setlength\leftmargini {17\p@} +\setlength\leftmargin {\leftmargini} +\setlength\leftmarginii {\leftmargini} +\setlength\leftmarginiii {\leftmargini} +\setlength\leftmarginiv {\leftmargini} +\setlength \labelsep {.5em} +\setlength \labelwidth{\leftmargini} +\addtolength\labelwidth{-\labelsep} + +\def\@listI{\leftmargin\leftmargini + \parsep 0\p@ \@plus1\p@ \@minus\p@ + \topsep 8\p@ \@plus2\p@ \@minus4\p@ + \itemsep0\p@} +\let\@listi\@listI +\@listi +\def\@listii {\leftmargin\leftmarginii + \labelwidth\leftmarginii + \advance\labelwidth-\labelsep + \topsep 0\p@ \@plus2\p@ \@minus\p@} +\def\@listiii{\leftmargin\leftmarginiii + \labelwidth\leftmarginiii + \advance\labelwidth-\labelsep + \topsep 0\p@ \@plus\p@\@minus\p@ + \parsep \z@ + \partopsep \p@ \@plus\z@ \@minus\p@} + +\renewcommand\labelitemi{\normalfont\bfseries --} +\renewcommand\labelitemii{$\m@th\bullet$} + +\setlength\arraycolsep{1.4\p@} +\setlength\tabcolsep{1.4\p@} + +\def\tableofcontents{\chapter*{\contentsname\@mkboth{{\contentsname}}% + {{\contentsname}}} + \def\authcount##1{\setcounter{auco}{##1}\setcounter{@auth}{1}} + \def\lastand{\ifnum\value{auco}=2\relax + \unskip{} \andname\ + \else + \unskip \lastandname\ + \fi}% + \def\and{\stepcounter{@auth}\relax + \ifnum\value{@auth}=\value{auco}% + \lastand + \else + \unskip, + \fi}% + \@starttoc{toc}\if@restonecol\twocolumn\fi} + +\def\l@part#1#2{\addpenalty{\@secpenalty}% + \addvspace{2em plus\p@}% % space above part line + \begingroup + \parindent \z@ + \rightskip \z@ plus 5em + \hrule\vskip5pt + \large % same size as for a contribution heading + \bfseries\boldmath % set line in boldface + \leavevmode % TeX command to enter horizontal mode. + #1\par + \vskip5pt + \hrule + \vskip1pt + \nobreak % Never break after part entry + \endgroup} + +\def\@dotsep{2} + +\def\hyperhrefextend{\ifx\hyper@anchor\@undefined\else +{chapter.\thechapter}\fi} + +\def\addnumcontentsmark#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{\protect\numberline + {\thechapter}#3}{\thepage}\hyperhrefextend}} +\def\addcontentsmark#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}\hyperhrefextend}} +\def\addcontentsmarkwop#1#2#3{% +\addtocontents{#1}{\protect\contentsline{#2}{#3}{0}\hyperhrefextend}} + +\def\@adcmk[#1]{\ifcase #1 \or +\def\@gtempa{\addnumcontentsmark}% + \or \def\@gtempa{\addcontentsmark}% + \or \def\@gtempa{\addcontentsmarkwop}% + \fi\@gtempa{toc}{chapter}} +\def\addtocmark{\@ifnextchar[{\@adcmk}{\@adcmk[3]}} + +\def\l@chapter#1#2{\addpenalty{-\@highpenalty} + \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip + {\large\bfseries\boldmath#1}\ifx0#2\hfil\null + \else + \nobreak + \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern + \@dotsep mu$}\hfill + \nobreak\hbox to\@pnumwidth{\hss #2}% + \fi\par + \penalty\@highpenalty \endgroup} + +\def\l@title#1#2{\addpenalty{-\@highpenalty} + \addvspace{8pt plus 1pt} + \@tempdima \z@ + \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \parfillskip -\rightskip \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima \hskip -\leftskip + #1\nobreak + \leaders\hbox{$\m@th \mkern \@dotsep mu.\mkern + \@dotsep mu$}\hfill + \nobreak\hbox to\@pnumwidth{\hss #2}\par + \penalty\@highpenalty \endgroup} + +\def\l@author#1#2{\addpenalty{\@highpenalty} + \@tempdima=15\p@ %\z@ + \begingroup + \parindent \z@ \rightskip \@tocrmarg + \advance\rightskip by 0pt plus 2cm + \pretolerance=10000 + \leavevmode \advance\leftskip\@tempdima %\hskip -\leftskip + \textit{#1}\par + \penalty\@highpenalty \endgroup} + +\setcounter{tocdepth}{0} +\newdimen\tocchpnum +\newdimen\tocsecnum +\newdimen\tocsectotal +\newdimen\tocsubsecnum +\newdimen\tocsubsectotal +\newdimen\tocsubsubsecnum +\newdimen\tocsubsubsectotal +\newdimen\tocparanum +\newdimen\tocparatotal +\newdimen\tocsubparanum +\tocchpnum=\z@ % no chapter numbers +\tocsecnum=15\p@ % section 88. plus 2.222pt +\tocsubsecnum=23\p@ % subsection 88.8 plus 2.222pt +\tocsubsubsecnum=27\p@ % subsubsection 88.8.8 plus 1.444pt +\tocparanum=35\p@ % paragraph 88.8.8.8 plus 1.666pt +\tocsubparanum=43\p@ % subparagraph 88.8.8.8.8 plus 1.888pt +\def\calctocindent{% +\tocsectotal=\tocchpnum +\advance\tocsectotal by\tocsecnum +\tocsubsectotal=\tocsectotal +\advance\tocsubsectotal by\tocsubsecnum +\tocsubsubsectotal=\tocsubsectotal +\advance\tocsubsubsectotal by\tocsubsubsecnum +\tocparatotal=\tocsubsubsectotal +\advance\tocparatotal by\tocparanum} +\calctocindent + +\def\l@section{\@dottedtocline{1}{\tocchpnum}{\tocsecnum}} +\def\l@subsection{\@dottedtocline{2}{\tocsectotal}{\tocsubsecnum}} +\def\l@subsubsection{\@dottedtocline{3}{\tocsubsectotal}{\tocsubsubsecnum}} +\def\l@paragraph{\@dottedtocline{4}{\tocsubsubsectotal}{\tocparanum}} +\def\l@subparagraph{\@dottedtocline{5}{\tocparatotal}{\tocsubparanum}} + +\def\listoffigures{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn + \fi\section*{\listfigurename\@mkboth{{\listfigurename}}{{\listfigurename}}} + \@starttoc{lof}\if@restonecol\twocolumn\fi} +\def\l@figure{\@dottedtocline{1}{0em}{1.5em}} + +\def\listoftables{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn + \fi\section*{\listtablename\@mkboth{{\listtablename}}{{\listtablename}}} + \@starttoc{lot}\if@restonecol\twocolumn\fi} +\let\l@table\l@figure + +\renewcommand\listoffigures{% + \section*{\listfigurename + \@mkboth{\listfigurename}{\listfigurename}}% + \@starttoc{lof}% + } + +\renewcommand\listoftables{% + \section*{\listtablename + \@mkboth{\listtablename}{\listtablename}}% + \@starttoc{lot}% + } + +\ifx\oribibl\undefined +\ifx\citeauthoryear\undefined +\renewenvironment{thebibliography}[1] + {\section*{\refname} + \def\@biblabel##1{##1.} + \small + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \advance\leftmargin\labelsep + \if@openbib + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + \fi + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \if@openbib + \renewcommand\newblock{\par}% + \else + \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% + \fi + \sloppy\clubpenalty4000\widowpenalty4000% + \sfcode`\.=\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw + {\let\protect\noexpand\immediate + \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} +\newcount\@tempcntc +\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi + \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do + {\@ifundefined + {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries + ?}\@warning + {Citation `\@citeb' on page \thepage \space undefined}}% + {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}% + \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne + \@citea\def\@citea{,}\hbox{\csname b@\@citeb\endcsname}% + \else + \advance\@tempcntb\@ne + \ifnum\@tempcntb=\@tempcntc + \else\advance\@tempcntb\m@ne\@citeo + \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}} +\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else + \@citea\def\@citea{,\,\hskip\z@skip}% + \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else + {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else + \def\@citea{--}\fi + \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi} +\else +\renewenvironment{thebibliography}[1] + {\section*{\refname} + \small + \list{}% + {\settowidth\labelwidth{}% + \leftmargin\parindent + \itemindent=-\parindent + \labelsep=\z@ + \if@openbib + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + \fi + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{}}% + \if@openbib + \renewcommand\newblock{\par}% + \else + \renewcommand\newblock{\hskip .11em \@plus.33em \@minus.07em}% + \fi + \sloppy\clubpenalty4000\widowpenalty4000% + \sfcode`\.=\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} + \def\@cite#1{#1}% + \def\@lbibitem[#1]#2{\item[]\if@filesw + {\def\protect##1{\string ##1\space}\immediate + \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces} + \fi +\else +\@cons\@openbib@code{\noexpand\small} +\fi + +\def\idxquad{\hskip 10\p@}% space that divides entry from number + +\def\@idxitem{\par\hangindent 10\p@} + +\def\subitem{\par\setbox0=\hbox{--\enspace}% second order + \noindent\hangindent\wd0\box0}% index entry + +\def\subsubitem{\par\setbox0=\hbox{--\,--\enspace}% third + \noindent\hangindent\wd0\box0}% order index entry + +\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax} + +\renewenvironment{theindex} + {\@mkboth{\indexname}{\indexname}% + \thispagestyle{empty}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\par + \def\,{\relax\ifmmode\mskip\thinmuskip + \else\hskip0.2em\ignorespaces\fi}% + \normalfont\small + \begin{multicols}{2}[\@makeschapterhead{\indexname}]% + } + {\end{multicols}} + +\renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width 2truecm + \kern2.6\p@} + \newdimen\fnindent + \fnindent1em +\long\def\@makefntext#1{% + \parindent \fnindent% + \leftskip \fnindent% + \noindent + \llap{\hb@xt@1em{\hss\@makefnmark\ }}\ignorespaces#1} + +\long\def\@makecaption#1#2{% + \vskip\abovecaptionskip + \sbox\@tempboxa{{\bfseries #1.} #2}% + \ifdim \wd\@tempboxa >\hsize + {\bfseries #1.} #2\par + \else + \global \@minipagefalse + \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \vskip\belowcaptionskip} + +\def\fps@figure{htbp} +\def\fnum@figure{\figurename\thinspace\thefigure} +\def \@floatboxreset {% + \reset@font + \small + \@setnobreak + \@setminipage +} +\def\fps@table{htbp} +\def\fnum@table{\tablename~\thetable} +\renewenvironment{table} + {\setlength\abovecaptionskip{0\p@}% + \setlength\belowcaptionskip{10\p@}% + \@float{table}} + {\end@float} +\renewenvironment{table*} + {\setlength\abovecaptionskip{0\p@}% + \setlength\belowcaptionskip{10\p@}% + \@dblfloat{table}} + {\end@dblfloat} + +\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname + ext@#1\endcsname}{#1}{\protect\numberline{\csname + the#1\endcsname}{\ignorespaces #2}}\begingroup + \@parboxrestore + \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par + \endgroup} + +% LaTeX does not provide a command to enter the authors institute +% addresses. The \institute command is defined here. + +\newcounter{@inst} +\newcounter{@auth} +\newcounter{auco} +\newdimen\instindent +\newbox\authrun +\newtoks\authorrunning +\newtoks\tocauthor +\newbox\titrun +\newtoks\titlerunning +\newtoks\toctitle + +\def\clearheadinfo{\gdef\@author{No Author Given}% + \gdef\@title{No Title Given}% + \gdef\@subtitle{}% + \gdef\@institute{No Institute Given}% + \gdef\@thanks{}% + \global\titlerunning={}\global\authorrunning={}% + \global\toctitle={}\global\tocauthor={}} + +\def\institute#1{\gdef\@institute{#1}} + +\def\institutename{\par + \begingroup + \parskip=\z@ + \parindent=\z@ + \setcounter{@inst}{1}% + \def\and{\par\stepcounter{@inst}% + \noindent$^{\the@inst}$\enspace\ignorespaces}% + \setbox0=\vbox{\def\thanks##1{}\@institute}% + \ifnum\c@@inst=1\relax + \gdef\fnnstart{0}% + \else + \xdef\fnnstart{\c@@inst}% + \setcounter{@inst}{1}% + \noindent$^{\the@inst}$\enspace + \fi + \ignorespaces + \@institute\par + \endgroup} + +\def\@fnsymbol#1{\ensuremath{\ifcase#1\or\star\or{\star\star}\or + {\star\star\star}\or \dagger\or \ddagger\or + \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger + \or \ddagger\ddagger \else\@ctrerr\fi}} + +\def\inst#1{\unskip$^{#1}$} +\def\fnmsep{\unskip$^,$} +\def\email#1{{\tt#1}} +\AtBeginDocument{\@ifundefined{url}{\def\url#1{#1}}{}% +\@ifpackageloaded{babel}{% +\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}% +\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}% +\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}% +}{\switcht@@therlang}% +} +\def\homedir{\~{ }} + +\def\subtitle#1{\gdef\@subtitle{#1}} +\clearheadinfo +% +\renewcommand\maketitle{\newpage + \refstepcounter{chapter}% + \stepcounter{section}% + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \setcounter{figure}{0} + \setcounter{table}{0} + \setcounter{equation}{0} + \setcounter{footnote}{0}% + \begingroup + \parindent=\z@ + \renewcommand\thefootnote{\@fnsymbol\c@footnote}% + \if@twocolumn + \ifnum \col@number=\@ne + \@maketitle + \else + \twocolumn[\@maketitle]% + \fi + \else + \newpage + \global\@topnum\z@ % Prevents figures from going at top of page. + \@maketitle + \fi + \thispagestyle{empty}\@thanks +% + \def\\{\unskip\ \ignorespaces}\def\inst##1{\unskip{}}% + \def\thanks##1{\unskip{}}\def\fnmsep{\unskip}% + \instindent=\hsize + \advance\instindent by-\headlineindent + \if!\the\toctitle!\addcontentsline{toc}{title}{\@title}\else + \addcontentsline{toc}{title}{\the\toctitle}\fi + \if@runhead + \if!\the\titlerunning!\else + \edef\@title{\the\titlerunning}% + \fi + \global\setbox\titrun=\hbox{\small\rm\unboldmath\ignorespaces\@title}% + \ifdim\wd\titrun>\instindent + \typeout{Title too long for running head. Please supply}% + \typeout{a shorter form with \string\titlerunning\space prior to + \string\maketitle}% + \global\setbox\titrun=\hbox{\small\rm + Title Suppressed Due to Excessive Length}% + \fi + \xdef\@title{\copy\titrun}% + \fi +% + \if!\the\tocauthor!\relax + {\def\and{\noexpand\protect\noexpand\and}% + \protected@xdef\toc@uthor{\@author}}% + \else + \def\\{\noexpand\protect\noexpand\newline}% + \protected@xdef\scratch{\the\tocauthor}% + \protected@xdef\toc@uthor{\scratch}% + \fi + \addtocontents{toc}{\noexpand\protect\noexpand\authcount{\the\c@auco}}% + \addcontentsline{toc}{author}{\toc@uthor}% + \if@runhead + \if!\the\authorrunning! + \value{@inst}=\value{@auth}% + \setcounter{@auth}{1}% + \else + \edef\@author{\the\authorrunning}% + \fi + \global\setbox\authrun=\hbox{\small\unboldmath\@author\unskip}% + \ifdim\wd\authrun>\instindent + \typeout{Names of authors too long for running head. Please supply}% + \typeout{a shorter form with \string\authorrunning\space prior to + \string\maketitle}% + \global\setbox\authrun=\hbox{\small\rm + Authors Suppressed Due to Excessive Length}% + \fi + \xdef\@author{\copy\authrun}% + \markboth{\@author}{\@title}% + \fi + \endgroup + \setcounter{footnote}{\fnnstart}% + \clearheadinfo} +% +\def\@maketitle{\newpage + \markboth{}{}% + \def\lastand{\ifnum\value{@inst}=2\relax + \unskip{} \andname\ + \else + \unskip \lastandname\ + \fi}% + \def\and{\stepcounter{@auth}\relax + \ifnum\value{@auth}=\value{@inst}% + \lastand + \else + \unskip, + \fi}% + \begin{center}% + \let\newline\\ + {\Large \bfseries\boldmath + \pretolerance=10000 + \@title \par}\vskip .8cm +\if!\@subtitle!\else {\large \bfseries\boldmath + \vskip -.65cm + \pretolerance=10000 + \@subtitle \par}\vskip .8cm\fi + \setbox0=\vbox{\setcounter{@auth}{1}\def\and{\stepcounter{@auth}}% + \def\thanks##1{}\@author}% + \global\value{@inst}=\value{@auth}% + \global\value{auco}=\value{@auth}% + \setcounter{@auth}{1}% +{\lineskip .5em +\noindent\ignorespaces +\@author\vskip.35cm} + {\small\institutename} + \end{center}% + } + +% definition of the "\spnewtheorem" command. +% +% Usage: +% +% \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font} +% or \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font} +% or \spnewtheorem*{env_nam}{caption}{cap_font}{body_font} +% +% New is "cap_font" and "body_font". It stands for +% fontdefinition of the caption and the text itself. +% +% "\spnewtheorem*" gives a theorem without number. +% +% A defined spnewthoerem environment is used as described +% by Lamport. +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\def\@thmcountersep{} +\def\@thmcounterend{.} + +\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}} + +% definition of \spnewtheorem with number + +\def\@spnthm#1#2{% + \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}} +\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}} + +\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}\@addtoreset{#1}{#3}% + \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand + \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\@definecounter{#1}% + \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@spothm#1[#2]#3#4#5{% + \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}% + {\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{the#1}{\@nameuse{the#2}}% + \expandafter\xdef\csname #1name\endcsname{#3}% + \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}% + \global\@namedef{end#1}{\@endtheorem}}}} + +\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\refstepcounter{#1}% +\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}} + +\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}% + \ignorespaces} + +\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname + the#1\endcsname}{#5}{#3}{#4}\ignorespaces} + +\def\@spbegintheorem#1#2#3#4{\trivlist + \item[\hskip\labelsep{#3#1\ #2\@thmcounterend}]#4} + +\def\@spopargbegintheorem#1#2#3#4#5{\trivlist + \item[\hskip\labelsep{#4#1\ #2}]{#4(#3)\@thmcounterend\ }#5} + +% definition of \spnewtheorem* without number + +\def\@sthm#1#2{\@Ynthm{#1}{#2}} + +\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname + {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}% + \expandafter\xdef\csname #1name\endcsname{#2}% + \global\@namedef{end#1}{\@endtheorem}}} + +\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@ +\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}} + +\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces} + +\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1} + {#4}{#2}{#3}\ignorespaces} + +\def\@Begintheorem#1#2#3{#3\trivlist + \item[\hskip\labelsep{#2#1\@thmcounterend}]} + +\def\@Opargbegintheorem#1#2#3#4{#4\trivlist + \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }} + +\if@envcntsect + \def\@thmcountersep{.} + \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape} +\else + \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape} + \if@envcntreset + \@addtoreset{theorem}{section} + \else + \@addtoreset{theorem}{chapter} + \fi +\fi + +%definition of divers theorem environments +\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily} +\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily} +\if@envcntsame % alle Umgebungen wie Theorem. + \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}} +\else % alle Umgebungen mit eigenem Zaehler + \if@envcntsect % mit section numeriert + \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}} + \else % nicht mit section numeriert + \if@envcntreset + \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} + \@addtoreset{#1}{section}} + \else + \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4} + \@addtoreset{#1}{chapter}}% + \fi + \fi +\fi +\spn@wtheorem{case}{Case}{\itshape}{\rmfamily} +\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily} +\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape} +\spn@wtheorem{definition}{Definition}{\bfseries}{\itshape} +\spn@wtheorem{example}{Example}{\itshape}{\rmfamily} +\spn@wtheorem{exercise}{Exercise}{\itshape}{\rmfamily} +\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape} +\spn@wtheorem{note}{Note}{\itshape}{\rmfamily} +\spn@wtheorem{problem}{Problem}{\itshape}{\rmfamily} +\spn@wtheorem{property}{Property}{\itshape}{\rmfamily} +\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape} +\spn@wtheorem{question}{Question}{\itshape}{\rmfamily} +\spn@wtheorem{solution}{Solution}{\itshape}{\rmfamily} +\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily} + +\def\@takefromreset#1#2{% + \def\@tempa{#1}% + \let\@tempd\@elt + \def\@elt##1{% + \def\@tempb{##1}% + \ifx\@tempa\@tempb\else + \@addtoreset{##1}{#2}% + \fi}% + \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname + \expandafter\def\csname cl@#2\endcsname{}% + \@tempc + \let\@elt\@tempd} + +\def\theopargself{\def\@spopargbegintheorem##1##2##3##4##5{\trivlist + \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5} + \def\@Opargbegintheorem##1##2##3##4{##4\trivlist + \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }} + } + +\renewenvironment{abstract}{% + \list{}{\advance\topsep by0.35cm\relax\small + \leftmargin=1cm + \labelwidth=\z@ + \listparindent=\z@ + \itemindent\listparindent + \rightmargin\leftmargin}\item[\hskip\labelsep + \bfseries\abstractname]} + {\endlist} + +\newdimen\headlineindent % dimension for space between +\headlineindent=1.166cm % number and text of headings. + +\def\ps@headings{\let\@mkboth\@gobbletwo + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}% + \leftmark\hfil} + \def\@oddhead{\normalfont\small\hfil\rightmark\hspace{\headlineindent}% + \llap{\thepage}} + \def\chaptermark##1{}% + \def\sectionmark##1{}% + \def\subsectionmark##1{}} + +\def\ps@titlepage{\let\@mkboth\@gobbletwo + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\normalfont\small\rlap{\thepage}\hspace{\headlineindent}% + \hfil} + \def\@oddhead{\normalfont\small\hfil\hspace{\headlineindent}% + \llap{\thepage}} + \def\chaptermark##1{}% + \def\sectionmark##1{}% + \def\subsectionmark##1{}} + +\if@runhead\ps@headings\else +\ps@empty\fi + +\setlength\arraycolsep{1.4\p@} +\setlength\tabcolsep{1.4\p@} + +\endinput +%end of file llncs.cls diff --git a/plpo b/plpo deleted file mode 100644 index a7f8d9e..0000000 --- a/plpo +++ /dev/null @@ -1 +0,0 @@ -bla -- 2.20.1

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zL;=ELP`E!WIeefl99Dl$8o1L~x|@s8NvbQ#&^;3P2>Lj>IKpR5jhfx3il)4TzJU2`D26_?fDHM#tYh5x1sj)3dpfiD4kBnS^& z3r}-PHxVXTRYe+E8)tWqzp17Ha|&=V0sor$f50HPNB-xz!`=ATZU`F}NRW$582Dc(;Vy@>O2W^Vz|WifA6Wl|@?Th; z-8A8WAZqJm?`{r-Cn6UoFaO_E{h|L0Eew2g$-k_~e{hYUE=o%O|5b8yd<@=4IzcIC zb5BS3mhw{S{}>woL2p`^|HDidPdA4@(Qjc6v~;k1w8$OqP!QZs3v)p$XE#SEJa(Zj zE)KTl(8rJl!UK;0KV|(7&iMm^=Puk&z<=xvq5zuz(Dk1a^v~@OzU_)Ic|UG; z@X^0lG46lvwtr7v=Km>oS>Pq-F(2Ry{+JQWQi6}^1mfa>-+4iQGKqFAr055!x7md^3VLbd0 zc*YBadY$hcOBedcwPT@9o#%z|3c^C2DNpt zbb}vkqXBBz`dPx~MgvrLc7~VV$J$2&eCcH6O!Mdp_=~_xDH;P|9v&_pDM@LFjEsyp z51%xjBtL{#f}aZnk>L`Mmf!`6{_hk> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +/MFshow { + { dup 5 get 3 ge + { 5 get 3 eq {gsave} {grestore} ifelse } + {dup dup 0 get findfont exch 1 get scalefont setfont + [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 + get exch 4 get {Gshow} {stringwidth pop 0 R} ifelse }if dup 5 get 0 eq + {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 + get 1 eq {dup 2 get exch dup 3 get exch 6 get stringwidth pop -2 div + dup 0 R} {dup 6 get stringwidth pop -2 div 0 R 6 get + show 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop + pop aload pop M} ifelse }ifelse }ifelse } + ifelse } + forall} def +/Gswidth {dup type /stringtype eq {stringwidth} {pop (n) stringwidth} ifelse} def +/MFwidth {0 exch { dup 5 get 3 ge { 5 get 3 eq { 0 } { pop } ifelse } + {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont + 6 get Gswidth pop add} {pop} ifelse} ifelse} forall} def +/MLshow { currentpoint stroke M + 0 exch R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MRshow { currentpoint stroke M + exch dup MFwidth neg 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MCshow { currentpoint stroke M + exch dup MFwidth -2 div 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/XYsave { [( ) 1 2 true false 3 ()] } bind def +/XYrestore { [( ) 1 2 true false 4 ()] } bind def +end +%%EndProlog +gnudict begin +gsave +doclip +50 50 translate +0.050 0.050 scale +0 setgray +newpath +(Helvetica) findfont 140 scalefont setfont +1.000 UL +LTb +1.000 UL +LTb +888 1443 M +2949 562 V +6312 1335 M +3837 2005 L +888 1443 M +0 2402 V +6312 1335 M +-61 16 V +stroke +6393 1298 M +[ [(Helvetica) 140.0 0.0 true true 0 (-1)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3837 2005 M +61 -17 V +6017 1278 M +-61 17 V +stroke +6098 1242 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.8)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3543 1949 M +60 -17 V +5722 1222 M +-61 17 V +stroke +5803 1186 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.6)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +3248 1892 M +61 -16 V +5427 1166 M +-61 17 V +stroke +5508 1129 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.4)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2953 1836 M +61 -16 V +5132 1110 M +-61 16 V +stroke +5213 1073 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.2)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2658 1780 M +61 -17 V +4837 1054 M +-61 16 V +stroke +4918 1017 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2363 1724 M +61 -17 V +4542 997 M +-61 17 V +stroke +4623 961 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +2068 1667 M +61 -16 V +4247 941 M +-61 17 V +stroke +4328 904 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1773 1611 M +61 -16 V +3952 885 M +-61 16 V +stroke +4033 848 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1478 1555 M +61 -16 V +3657 829 M +-60 16 V +stroke +3738 792 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +1183 1499 M +61 -17 V +3363 772 M +-61 17 V +stroke +3444 736 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 1)] +] -46.7 MLshow +1.000 UL +LTb +1.000 UL +LTb +888 1443 M +61 -17 V +-61 17 R +49 9 V +stroke +824 1422 M +[ [(Helvetica) 140.0 0.0 true true 0 (-1)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +3837 2005 M +-48 -9 V +1136 1376 M +48 9 V +stroke +1072 1355 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.8)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4084 1938 M +-48 -9 V +1383 1309 M +49 9 V +stroke +1319 1288 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.6)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4332 1871 M +-49 -9 V +1631 1241 M +48 10 V +stroke +1567 1221 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.4)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4579 1804 M +-48 -9 V +1878 1174 M +49 10 V +stroke +1814 1154 M +[ [(Helvetica) 140.0 0.0 true true 0 (-0.2)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +4827 1737 M +-49 -9 V +2126 1107 M +48 10 V +stroke +2062 1087 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5074 1670 M +-48 -9 V +2373 1040 M +49 10 V +stroke +2309 1020 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5322 1603 M +-49 -9 V +2621 973 M +48 10 V +stroke +2556 953 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5569 1536 M +-48 -9 V +2868 906 M +49 10 V +stroke +2804 886 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +5817 1469 M +-49 -9 V +3116 839 M +48 10 V +stroke +3051 819 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +6064 1402 M +-48 -9 V +3363 772 M +48 10 V +stroke +3299 752 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 1)] +] -46.7 MCshow +1.000 UL +LTb +1.000 UL +LTb +6312 1335 M +-49 -9 V +888 2244 M +63 0 V +stroke +762 2244 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.1)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2444 M +63 0 V +stroke +762 2444 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.2)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2643 M +63 0 V +stroke +762 2643 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.3)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 2844 M +63 0 V +stroke +762 2844 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.4)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3044 M +63 0 V +stroke +762 3044 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.5)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3244 M +63 0 V +stroke +762 3244 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.6)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3445 M +63 0 V +stroke +762 3445 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.7)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3645 M +63 0 V +stroke +762 3645 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.8)] +] -46.7 MRshow +1.000 UL +LTb +1.000 UL +LTb +888 3845 M +63 0 V +stroke +762 3845 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0.9)] +] -46.7 MRshow +1.000 UL +LTb +LCb setrgbcolor +1210 4100 M +[ [(Helvetica) 140.0 0.0 true true 0 (Dose value)] +] -46.7 MCshow +LTb +1.000 UP +% Begin plot #1 +5745 4556 M +[ [(Helvetica) 140.0 0.0 true true 0 (Dose deposit in tissu \(1.0\))] +] -46.7 MRshow +1.000 UL +LT0 +6028 4556 Pnt +3813 2744 Pnt +3745 2734 Pnt +3677 2723 Pnt +3609 2711 Pnt +3541 2700 Pnt +3473 2690 Pnt +3405 2680 Pnt +3337 2669 Pnt +3269 2661 Pnt +3201 2651 Pnt +3132 2671 Pnt +3064 2867 Pnt +2996 2879 Pnt +2928 2878 Pnt +2860 2860 Pnt +2792 2849 Pnt +2724 2822 Pnt +2656 2815 Pnt +2588 2802 Pnt +2520 2776 Pnt +2452 2764 Pnt +2384 2755 Pnt +2316 2744 Pnt +2248 2741 Pnt +2180 2722 Pnt +2112 2712 Pnt +2043 2708 Pnt +1975 2688 Pnt +1907 2645 Pnt 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Pnt +4745 2030 Pnt +4677 2018 Pnt +4609 2005 Pnt +4541 1992 Pnt +4473 1979 Pnt +4405 1966 Pnt +4336 1955 Pnt +4268 1941 Pnt +4200 1928 Pnt +4132 1914 Pnt +4064 1901 Pnt +3996 1889 Pnt +3928 1874 Pnt +3860 1861 Pnt +3792 1849 Pnt +3724 1837 Pnt +3656 1822 Pnt +3588 1809 Pnt +3520 1795 Pnt +3452 1779 Pnt +3384 1762 Pnt +3316 1742 Pnt +3247 1715 Pnt +3179 1693 Pnt +5839 2198 Pnt +5771 2195 Pnt +5703 2195 Pnt +5635 2188 Pnt +5567 2179 Pnt +5499 2168 Pnt +5431 2156 Pnt +5363 2145 Pnt +5295 2133 Pnt +5227 2118 Pnt +5159 2105 Pnt +5091 2095 Pnt +5023 2082 Pnt +4955 2068 Pnt +4887 2055 Pnt +4818 2041 Pnt +4750 2029 Pnt +4682 2017 Pnt +4614 2004 Pnt +4546 1991 Pnt +4478 1978 Pnt +4410 1964 Pnt +4342 1954 Pnt +4274 1938 Pnt +4206 1927 Pnt +4138 1912 Pnt +4070 1900 Pnt +4002 1887 Pnt +3934 1872 Pnt +3866 1859 Pnt +3798 1849 Pnt +3729 1834 Pnt +3661 1820 Pnt +3593 1807 Pnt +3525 1793 Pnt +3457 1778 Pnt +3389 1760 Pnt +3321 1741 Pnt +3253 1713 Pnt +3185 1691 Pnt +5845 2197 Pnt +5777 2193 Pnt +5709 2193 Pnt +5641 2187 Pnt +5573 2178 Pnt +5505 2166 Pnt +5437 2155 Pnt +5369 2143 Pnt +5300 2131 Pnt +5232 2117 Pnt +5164 2105 Pnt +5096 2093 Pnt +5028 2079 Pnt +4960 2065 Pnt +4892 2053 Pnt +4824 2039 Pnt +4756 2027 Pnt +4688 2015 Pnt +4620 2002 Pnt +4552 1989 Pnt +4484 1977 Pnt +4416 1962 Pnt +4348 1951 Pnt +4280 1937 Pnt +4211 1925 Pnt +4143 1912 Pnt +4075 1898 Pnt +4007 1885 Pnt +3939 1871 Pnt +3871 1857 Pnt +3803 1845 Pnt +3735 1832 Pnt +3667 1819 Pnt +3599 1805 Pnt +3531 1792 Pnt +3463 1775 Pnt +3395 1760 Pnt +3327 1740 Pnt +3259 1713 Pnt +3191 1690 Pnt +5851 2195 Pnt +5782 2193 Pnt +5714 2193 Pnt +5646 2184 Pnt +5578 2176 Pnt +5510 2165 Pnt +5442 2153 Pnt +5374 2141 Pnt +5306 2127 Pnt +5238 2116 Pnt +5170 2102 Pnt +5102 2090 Pnt +5034 2077 Pnt +4966 2063 Pnt +4898 2050 Pnt +4830 2038 Pnt +4762 2026 Pnt +4693 2014 Pnt +4625 1999 Pnt +4557 1985 Pnt +4489 1974 Pnt +4421 1959 Pnt +4353 1949 Pnt +4285 1934 Pnt +4217 1922 Pnt +4149 1909 Pnt +4081 1897 Pnt +4013 1883 Pnt +3945 1870 Pnt 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2134 Pnt +5836 2124 Pnt +5768 2111 Pnt +5700 2100 Pnt +5632 2088 Pnt +5564 2075 Pnt +5496 2062 Pnt +5428 2050 Pnt +5360 2038 Pnt +5292 2026 Pnt +5224 2010 Pnt +5156 1999 Pnt +5087 1984 Pnt +5019 1973 Pnt +4951 1958 Pnt +4883 1947 Pnt +4815 1933 Pnt +4747 1921 Pnt +4679 1908 Pnt +4611 1895 Pnt +4543 1883 Pnt +4475 1868 Pnt +4407 1856 Pnt +4339 1842 Pnt +4271 1830 Pnt +4203 1817 Pnt +4135 1804 Pnt +4067 1790 Pnt +3998 1777 Pnt +3930 1764 Pnt +3862 1752 Pnt +3794 1739 Pnt +3726 1724 Pnt +3658 1710 Pnt +3590 1696 Pnt +3522 1678 Pnt +3454 1661 Pnt +3386 1639 Pnt +% End plot #1 +1.000 UL +LTb +6312 1335 M +3363 772 L +888 1443 M +3363 772 L +stroke +LCb setrgbcolor +5456 886 M +[ [(Helvetica) 140.0 0.0 true true 0 (Width)] +] -46.7 MCshow +LTb +LCb setrgbcolor +1389 967 M +[ [(Helvetica) 140.0 0.0 true true 0 (Depth)] +] -46.7 MCshow +LTb +LTb +1.000 UP +stroke +grestore +end +showpage +%%Trailer +%%DocumentFonts: Helvetica diff --git a/figures/testC.pdf b/figures/testC.pdf new file mode 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