From: afanfakh Date: Fri, 16 Sep 2016 08:40:58 +0000 (+0200) Subject: adding thesis presentation X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/ThesisAhmed.git/commitdiff_plain/240aac4a27721a2cb9d0e2ccd75e6e8970ce90c8?ds=sidebyside;hp=--cc adding thesis presentation --- 240aac4a27721a2cb9d0e2ccd75e6e8970ce90c8 diff --git a/PUBLICATIONS.tex b/PUBLICATIONS.tex index 010c937..ef9f5ef 100644 --- a/PUBLICATIONS.tex +++ b/PUBLICATIONS.tex @@ -5,12 +5,11 @@ \section*{Journal Articles} \begin{enumerate}[$\lbrack$1$\rbrack$] -\item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch. Optimizing Energy Consumption with - DVFS for Message Passing Iterative Applications on Grid Architectures. \textit{Journal of Computational - Science, 2016, ($1^{st}$ Revision Submitted)} +\item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch.Optimizing the energy consumption of message passing applications with iterations executed over grids. \textit{Journal of Computational + Science}, 2016. \item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch. Energy Consumption Reduction for - Asynchronous Message Passing Applications. \textit{Journal of Supercomputing, 2016, (Submitted)} + Asynchronous Message Passing Applications. \textit{Journal of Supercomputing}, 2016, (Submitted) \end{enumerate} @@ -36,4 +35,4 @@ \end{enumerate} -\cleardoublepage \ No newline at end of file +\cleardoublepage diff --git a/Resume.tex b/Resume.tex index 4c1d8bd..5e165f7 100644 --- a/Resume.tex +++ b/Resume.tex @@ -9,15 +9,19 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\emph{ \begin{center} \Large Title \end{center}} +\emph{ \begin{center} \Large Optimisation de la consommation énergétique des applications parallèles avec des itérations en réduisant la fréquence des processeurs \end{center}} %\emph{ \begin{center} \large By \end{center}} \emph{ \begin{center} \large Ahmed Badri Muslim Fanfakh \\ Université de Franche-Comt\'e, 2016 \end{center}} %\emph{ \begin{center} \large The University of Franche-Comt\'e, 2015 \end{center}} -\emph{ \begin{center} \large Encadrants: Raphaël Couturier, Jean-Claude Charr and Arnaud Giersch \end{center}} +\emph{ \begin{center} \large Encadrants: Raphaël Couturier and Jean-Claude Charr \end{center}} +Au cours des dernières années, l'informatique “green” est devenue un sujet important dans le calcul intensif. Cependant, les plates-formes informatiques continuent de consommer de plus en plus d'énergie en raison de l'augmentation du nombre de noeuds qui les composent. Afin de minimiser les coûts d'exploitation de ces plates-formes de nombreuses techniques ont été étudiées, parmi celles-ci, il y a le changement de la fréquence dynamique des processeurs (DVFS en anglais). Il permet de réduire la consommation d'énergie d'un CPU, en abaissant sa fréquence. Cependant, cela augmente le temps d'exécution de l'application. Par conséquent, il faut trouver un seuil qui donne le meilleur compromis entre la consommation d'énergie et la performance d'une application. Cette thèse présente des algorithmes développés pour optimiser la consommation d'énergie et les performances des applications parallèles avec des itérations synchrones et asynchrones sur des clusters ou des grilles. Les modèles de consommation d'énergie et de performance proposés pour chaque type d'application parallèle permettent de prédire le temps d'exécution et la consommation d'énergie d'une application pour toutes les fréquences disponibles. +La contribution de cette thèse peut être divisé en trois parties. Tout d'abord, il s'agit d'optimiser le compromis entre la consommation d'énergie et les performances des applications parallèles avec des itérations synchrones sur des clusters homogènes. Deuxièmement, nous avons adapté les modèles de performance énergétique aux plates-formes hétérogènes dans lesquelles chaque noeud peut avoir des spécifications différentes telles que la puissance de calcul, la consommation d'énergie, différentes fréquences de fonctionnement ou encore des latences et des bandes passantes réseaux différentes. L'algorithme d'optimisation de la fréquence CPU a également été modifié en fonction de l'hétérogénéité de la plate-forme. Troisièmement, les modèles et l'algorithme d'optimisation de la fréquence CPU ont été complètement repensés pour prendre en considération les spécificités des algorithmes itératifs asynchrones. +Tous ces modèles et algorithmes ont été appliqués sur des applications parallèles utilisant la bibliothèque MPI et ont été exécutés avec le simulateur Simgrid ou sur la plate-forme Grid'5000. Les expériences ont montré que les algorithmes proposés sont plus efficaces que les méthodes existantes. Ils n’introduisent qu’un faible surcoût et ne nécessitent pas de profilage au préalable car ils sont exécutés au cours du déroulement de l’application. -\textbf{MOTS-CLÉS:} cl1, cl2, ... -%Algorithmes distribués, Algorithmes centralisés, Robustesse, Connectivité, Efficacité énergétique, \'Energie des réseaux hétérogènes, Réseaux homogènes, Simulation des Réseaux, Evaluation de Performance, Les Communications sans Fil Ecologiques et le Réseautage \ No newline at end of file +\textbf{MOTS-CLÉS:} l'ajustement dynamique de la tension et de la fréquence d'un processeur, Grille de calcul, l'optimisation de l'énergie des applications parallèles avec des itérations. + +%Algorithmes distribués, Algorithmes centralisés, Robustesse, Connectivité, Efficacité énergétique, \'Energie des réseaux hétérogènes, Réseaux homogènes, Simulation des Réseaux, Evaluation de Performance, Les Communications sans Fil Ecologiques et le Réseautage diff --git a/Thesis.tex b/Thesis.tex index 72b8c47..cb62900 100644 --- a/Thesis.tex +++ b/Thesis.tex @@ -15,7 +15,7 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \include{Abstruct} -%\include{Resume} +\include{Resume} %% Sommaire \tableofcontents diff --git a/entete.tex b/entete.tex index 79aaa66..e7c2223 100644 --- a/entete.tex +++ b/entete.tex @@ -109,19 +109,34 @@ %Committee:\\ %%-------------------- %% Set the English abstract -\thesisabstract[english]{ English abstract +\thesisabstract[english]{ This thesis, presents the algorithms developed to optimize the energy consumption +and the performance of synchronous and asynchronous message passing applications with iterations running over clusters or grids. The energy consumption and performance models for each type of parallel application predicts its execution time and energy consumption for any selected frequency +according to the characteristics of both the application and the architecture executing this application. + + +The contribution of this thesis can be divided into three parts: Firstly, optimizing the trade-off between +the energy consumption and the performance of the message passing applications with synchronous iterations +running over homogeneous clusters. Secondly, adapting the energy and performance models to heterogeneous platforms where each node can have different specifications such as computing power, energy consumption, available frequency gears or network's latency and bandwidth. The frequency scaling algorithm was also modified to suit the heterogeneity of the platform. Thirdly, the models and the frequency scaling algorithm were completely rethought to take into considerations the asynchronism in the communication and computation. +All these models and algorithms were applied to message passing applications with iterations and evaluated +over either SimGrid simulator or Grid'5000 platform. The experiments showed that the proposed algorithms are +efficient and outperform existing methods such as the energy and delay product. They also introduce a small +runtime overhead and work online without any training or profiling. + } -\thesiskeywords[english]{ kw1, kw2, ...} +\thesiskeywords[english]{Dynamic voltage and frequency scaling, Grid computing, Energy optimization, parallel applications with iterations and online frequency scaling algorithm. } - + \vspace{-5cm} %%-------------------- %% Set the French abstract -\thesisabstract[french]{ French abstract +\thesisabstract[french]{Cette thèse présente des algorithmes développés pour optimiser la consommation d'énergie et les performances des applications parallèles avec des itérations synchrones et asynchrones sur des clusters ou des grilles. Les modèles de consommation d'énergie et de performance proposés pour chaque type d'application parallèle permettent de prédire le temps d'exécution et la consommation d'énergie d'une application pour toutes les fréquences disponibles. La contribution de cette thèse peut être divisé en trois parties. Tout d'abord, il s'agit d'optimiser le compromis entre la consommation d'énergie et les performances des applications parallèles avec des itérations synchrones sur des clusters homogènes. Deuxièmement, nous avons adapté les modèles de performance énergétique aux plates-formes hétérogènes dans lesquelles chaque noeud peut avoir des spécifications différentes telles que la puissance de calcul, la consommation d'énergie, différentes fréquences de fonctionnement ou encore des latences et des bandes passantes réseaux différentes. L'algorithme d'optimisation de la fréquence CPU a également été modifié en fonction de l'hétérogénéité de la plate-forme. Troisièmement, les modèles et l'algorithme d'optimisation de la fréquence CPU ont été complètement repensés pour prendre en considération les spécificités des algorithmes itératifs asynchrones. +Tous ces modèles et algorithmes ont été appliqués sur des applications parallèles utilisant la bibliothèque MPI et ont été exécutés avec le simulateur Simgrid ou sur la plate-forme Grid'5000. Les expériences ont montré que les algorithmes proposés sont plus efficaces que les méthodes existantes. Ils n’introduisent qu’un faible surcoût et ne nécessitent pas de profilage au préalable car ils sont exécutés au cours du déroulement de l’application. } -\thesiskeywords[french]{cl1, cl2, ... } +\thesiskeywords[french]{l'ajustement dynamique de la tension et de la fréquence d'un processeur, Grille de calcul, Optimisation de l'énergie, applications parallèles avec des itérations et +en ligne algorithme fréquence ajustement. +} %%-------------------- diff --git a/thesis-presentation/.~lock.compare-scales.odt# b/thesis-presentation/.~lock.compare-scales.odt# new file mode 100644 index 0000000..59bb9fb --- /dev/null +++ b/thesis-presentation/.~lock.compare-scales.odt# @@ -0,0 +1 @@ +afanfakh ,afanfakh,fanfakh.afanfakh,09.09.2016 11:32,file:///home/afanfakh/.config/libreoffice/4; \ No newline at end of file diff --git a/thesis-presentation/AhmedSlides.aux b/thesis-presentation/AhmedSlides.aux new file mode 100644 index 0000000..7ac6830 --- /dev/null +++ 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+\newcommand{\MaxDist}{\mathit{Max}\Dist} +\newcommand{\MinTcm}{\mathit{Min}\Tcm} +\newcommand{\Ntrans}{\Xsub{N}{trans}} +\newcommand{\Pd}[1][]{\Xsub{P}{d}_{\fxheight{#1}}} +\newcommand{\PdNew}{\Xsub{P}{dNew}} + +\newcommand{\PdOld}{\Xsub{P}{dOld}} +\newcommand{\Pnorm}{\Xsub{P}{Norm}} +\newcommand{\Tnorm}{\Xsub{T}{Norm}} +\newcommand{\Ps}[1][]{\Xsub{P}{s}_{\fxheight{#1}}} +\newcommand{\Scp}[1][]{\Xsub{S}{cp}_{#1}} +\newcommand{\Sopt}[1][]{\Xsub{S}{opt}_{#1}} +\newcommand{\Tcm}[1][]{\Xsub{T}{cm}_{\fxheight{#1}}} +\newcommand{\Tcp}[1][]{\Xsub{T}{cp}_{#1}} +\newcommand{\TcpOld}[1][]{\Xsub{T}{cpOld}_{#1}} +\newcommand{\Tnew}{\Xsub{T}{New}} +\newcommand{\Told}{\Xsub{T}{Old}} +\newcommand{\Ltcm}[1][]{\Xsub{L}{tcm}_{\fxheight{#1}}} +\newcommand{\Etcm}[1][]{\Xsub{E}{tcm}_{\fxheight{#1}}} +\newcommand{\Niter}[1][]{\Xsub{N}{iter}_{\fxheight{#1}}} +\newcommand{\Pmax}[1][]{\Xsub{P}{max}_{\fxheight{#1}}} +\newcommand{\Pidle}[1][]{\Xsub{P}{idle}_{\fxheight{#1}}} + \usepackage{pifont} +\usepackage{xcolor} +\definecolor{myblue}{RGB}{0,29,119} +\usepackage[textsize=footnotesize]{todonotes} +\newcommand{\bsquare}{\item[\color{myblue}\ding{110}]} +\newcommand{\barrow}{\item[\color{myblue}\ding{228}]} +\newcommand{\bwarrow}{\item[\color{myblue}\ding{227}]} +\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} + + + +%\title{Energy Consumption Optimization of Parallel Applications with +%Iterations using CPU Frequency Scaling} +\vspace{2cm} + +\title{ \textbf{Energy Consumption Optimization of Parallel Applications with Iterations using CPU Frequency Scaling} \\ \vspace{0.2cm} \hspace{1.8cm}\textbf{\textcolor{cyan}{\small PhD Dissertation Defense}}}\vspace{-1cm} +\author{ \textbf{Ahmed Badri Muslim Fanfakh} \\ \vspace{0.5cm}\small Under Supervision: \textcolor{cyan}{\small Raphaël COUTURIER and Jean-Claude CHARR} \\\vspace{0.1cm} \textcolor{blue}{ University of Franche-Comté - FEMTO-ST - DISC Dept. - AND Team} \\ ~~~~~~~~~~~~~~~~~~~~~ \textbf{\textcolor{blue}{ 17 October 2016 }}} + +\date{} +\vspace{-3cm} +% ____ _____ ____ _ _ _____ +% | _ \| ____| __ )| | | |_ _| +% | | | | _| | _ \| | | | | | +% | |_| | |___| |_) | |_| | | | +% |____/|_____|____/ \___/ |_| +% +\begin{document} +\setbeamertemplate{background}{\titrefemto} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 01 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}[plain] +\vspace{1cm} +\centering + \titlepage +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 02 %% +%%%%%%%%%%%%%%%%%%%% +\setbeamertemplate{background}{\pagefemto} +\begin{frame}{Outline} + +\setbeamertemplate{section in toc}[sections numbered] +\tableofcontents +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 03 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Introduction and problem definition} + \section{\small {Introduction and Problem definition}} + \bf \textcolor{blue}{Approaches to increase the computing power:} + \begin{minipage}{0.5\textwidth} + \textcolor{blue}{1)} \small \bf \textcolor{black}{Increasing the frequency of processor} + \end{minipage}% + \begin{minipage}{0.6\textwidth} + +\begin{figure}[h!] + + \includegraphics[width=0.7\textwidth]{fig/freq-years} + \end{figure} + \end{minipage}% + \vspace{0.2cm} + \begin{minipage}{0.5\textwidth} + \textcolor{blue}{2)} \small \bf \textcolor{black}{Increasing the number of nodes} + \end{minipage}% + \begin{minipage}{0.6\textwidth} + \begin{figure}[h!] + \includegraphics[width=0.7\textwidth]{fig/clusters} + \end{figure} + \end{minipage}% + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 04 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Introduction and problem definition} + \bf \textcolor{blue}{Processor frequency and its energy consumption} + \vspace{0.4cm} + \begin{minipage}{0.5\textwidth} + \textcolor{blue}{$\blacktriangleright$} + \small \bf \textcolor{black}{ The power consumption of a processor increases exponentially when its + frequency is increased} + \end{minipage}% + \begin{minipage}{0.5\textwidth} + \begin{figure}[h!] + \includegraphics[width=0.7\textwidth]{fig/freq-power} + \end{figure} + \end{minipage}% + + \begin{minipage}{0.5\textwidth} + \textcolor{blue}{$\blacktriangleright$} + \small \bf \textcolor{black}{The biggest power consumption is consumed by a processor in the computing node} + + \end{minipage}% + \begin{minipage}{0.6\textwidth} + \begin{figure}[h!] + \includegraphics[width=0.9\textwidth]{fig/node-power} + \end{figure} + \end{minipage}% + + \end{frame} + + %%%%%%%%%%%%%%%%%%% +%% SLIDE 05 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Introduction and problem definition} + \vspace{0.1cm} + \bf \textcolor{blue}{Techniques for energy consumption reduction} + + \textcolor{blue}{1)} \bf \textcolor{black}{Switch-off idle nodes method} + \vspace{-0.9cm} + \begin{figure} + \animategraphics[autopause,loop,controls,scale=0.25,buttonsize=0.2cm]{200}{on-off/a-}{0}{69} + \end{figure} + \end{frame} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 06 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Techniques for energy consumption reduction} + + \textcolor{blue}{2)} \bf \textcolor{black}{Dynamic voltage and frequency Scaling (DVFS)} + \vspace{-0.5cm} + \begin{figure} + \animategraphics[autopause,controls,scale=0.25,buttonsize=0.2cm]{10}{DVFS-meq/a-}{0}{109} + \end{figure} + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 07 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Using the energy reduction method} +\section{\small {Using the energy reduction method}} +\begin{block}{\textcolor{white}{Why we used DVFS method:}} +\begin{itemize} + \item \textcolor{black}{It used to reduce the energy while keeping all node working, thus it is more conventional with parallel computing.} + \item \textcolor{black}{It has a very small overhead compared to switch-off idle nodes method.} + \end{itemize} +\end{block} + + \vspace{0.1cm} + \begin{block}{\textcolor{white}{Challenge and Objective}} + + \textcolor{blue}{Challenge:} \textcolor{black}{DVFS is used to reduce the energy, \textcolor{blue}{but} it degrades the performance simultaneously.} + + \vspace{0.1cm} + \textcolor{blue}{Objective:} \textcolor{black}{Optimizing both energy consumption and performance of a parallel application at the same time when DVFS is used.} +\end{block} + + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 08 %% +%%%%%%%%%%%%%%%%%%%% + + +\begin{frame}{Contributions} +\section{\small {Contributions}} +\subsection{\small {3.1 Energy optimization of homogeneous platform}} +\begin{center} +\bf \textcolor{black}{First contribution} \\ +\vspace{1cm} +\bf \Large \textcolor{blue}{Energy optimization of homogeneous platform} +\end{center} + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 09 %% +%%%%%%%%%%%%%%%%%%%% + +\begin{frame}{Objectives} + \begin{femtoBlock}{} \vspace{-12 mm} + \begin{itemize} \small + \item Study the effect of the scaling factor $S$ on \textbf{energy consumption} of parallel iterative applications such as NAS + Benchmarks. \includegraphics[width=.06\textwidth]{c1/nasa.pdf} \medskip + \item Study the effect of the scaling factor $S$ on \textbf{performance} of these benchmarks.\medskip + \item Discovering the \textbf{energy-performance trade-off relation} when changing the frequency.\medskip + \item We propose an algorithm for selecting the scaling factor $S$ producing \textbf {optimal trade-off} between the energy and performance. \medskip + \item Improving Rauber and Rünger's\footnote{\tiny Thomas Rauber and Gudula Rünger. Analytical modeling and simulation of the + energy consumption \\ \quad ~ ~\quad of independent tasks. In Proceedings of the Winter Simulation Conference, 2012.} method that our method best on. + \end{itemize} + \let\thefootnote\relax\footnote{} + \vspace{-10 mm} + \end{femtoBlock} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 10 %% +%%%%%%%%%%%%%%%%%%%% + + +\begin{frame}{Parallel tasks execution over Homo. Platform} +\vspace{-0.5 cm} +\begin{figure} + \centering + \subfloat[Sync. imbalanced communications]{% + \includegraphics[scale=0.49]{c1/commtasks}\label{fig:h1}} + \subfloat[Sync. imbalanced computations]{% + \includegraphics[scale=0.49]{c1/compt}\label{fig:h2}} + \caption{Parallel tasks on homogeneous platform} + \label{fig:homo} +\end{figure} + + \end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 11 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Energy model for homogeneous platform} + The power consumed by a processor divided into two power metrics: the dynamic (\textcolor{red}{$P_d$}) and static + (\textcolor{red}{$P_s$}) power. + \begin{equation} + \label{eq:pd} + \textcolor{red}{ P_d} = \textcolor{blue}{\alpha \cdot CL \cdot V^2 \cdot F} + \end{equation} + \scriptsize \underline{Where}: \\ + \scriptsize {\textcolor{blue}{$\alpha$}: switching activity \hspace{15 mm} \textcolor{blue}{$CL$}: load capacitance\\ + \textcolor{blue}{$V$} the supply voltage \hspace{14 mm} \textcolor{blue}{$F$}: operational frequency} + \begin{equation} + \label{eq:ps} + \small \textcolor{red}{P_s} = \textcolor{blue}{V \cdot N_{trans} \cdot K_{design} \cdot I_{Leak}} + \end{equation} + \underline{Where}:\\ + \scriptsize{ \textcolor{blue}{$V$}: the supply voltage. \hspace{28 mm} \textcolor{blue}{$N_{trans}$}: number of transistors. \\ + \textcolor{blue}{$K_{design}$}: design dependent parameter. \hspace{8 mm} \textcolor{blue}{$I_{leak}$}: technology dependent + parameter.} +\end{frame} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 12 %% +%%%%%%%%%%%%%%%%%%%% + +\begin{frame}{Energy model for homogeneous platform} + + The frequency scaling factor is the ratio between the maximum and the new frequency, \textcolor{blue}{$S = \frac{F_{max}}{F_{new}}$}. \medskip + + + + \begin{block}{\small Rauber and Rünger's energy model} + $ E = P_{d} \cdot S_1^{-2} \cdot + \left( T_1 + \sum_{i=2}^{N} \frac{T_i^3}{T_1^2} \right) + + P_{s} \cdot S_1 \cdot T_1 \cdot N$ + \end{block} + \textcolor{blue}{$S_1$}: the max. scaling factor\\ + \textcolor{blue}{$P_{d}$}: the dynamic power\\ + \textcolor{blue}{$P_{s}$}: the static power\\ + \textcolor{blue}{$T_I$}: the time of the slower task\\ + \textcolor{blue}{$T_i$}: the time of the other tasks\\ + \textcolor{blue}{$N$}: the number of nodes + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 13 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Performance evaluation of MPI programs} + \begin{femtoBlock}{} + \vspace{-5 mm} + \begin{block}{\small Execution time prediction model} + \centering{ $ \textcolor{red}{T_{new}} = \textcolor{blue}{T_{Max Comp Old} \cdot S + T_{{Min Comm Old}}}$} + \end{block} + \vspace{10 mm} + \centering{\includegraphics[width=.4\textwidth]{c1/cg_per} + \quad% + \includegraphics[width=.4\textwidth]{c1/lu_pre}} + \vspace{5 mm} + + \small The maximum normalized error for CG=0.0073 \textbf{(the smallest)} and LU=0.031 \textbf{(the worst)}. + \end{femtoBlock} +\end{frame} + + + + + %%%%%%%%%%%%%%%%%%%% +%% SLIDE 14 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Performance and energy reduction trade-off} + \begin{femtoBlock}{} \vspace{-15 mm} + \begin{figure} + \centering + \subfloat[\small Real relation.]{% + \includegraphics[width=.43\textwidth]{c1/file3}\label{fig:r2}} + \quad% + \subfloat[\small Converted relation.]{% + \includegraphics[width=.43\textwidth]{c1/file}\label{fig:r1}}% + \label{fig:rel} + % \caption{The energy and performance relation} +\end{figure} + + Where:~~~ $\textcolor{blue}{Performance} = execution~time^{-1}$ + +%\vspace{-0.3cm} + \small + \begin{block}{\small Our objective function} + \centering{$\textbf{\emph {MaxDist}} = \max_{j=1,2,\dots ,F} + (\overbrace{P_{Norm}(S_j)}^{{Maximize}} - + \overbrace{E_{Norm}(S_j)}^{{Minimize}} )$} + + \end{block} + \end{femtoBlock} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 15 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{Scaling factor selection algorithm} +\vspace{-0.75cm} + \begin{center} + \includegraphics[width=.56 \textwidth]{c1/algo-homo} + \end{center} + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 16 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Scaling algorithm example} +\vspace{-0.75cm} + + \begin{figure} + \animategraphics[autopause,controls,scale=0.28,buttonsize=0.2cm]{10}{dvfs-homo/a-}{0}{159} + + \end{figure} +\end{frame} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 17 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Experimental results } + \begin{femtoBlock}{} + \begin{itemize} + \small + \item Our experiments are executed on the simulator SimGrid/SMPI v3.10.\medskip + \item Our algorithm is applied to NAS parallel benchmarks.\medskip + \item Each node in the cluster has 18 frequency values from \textbf{2.5$GHz$} to \textbf{800$MHz$}.\medskip + \item We run the classes A, B and C on 4, 8 or 9 and 16 nodes respectively.\medskip + \item The dynamic power with the highest frequency is equal to \textbf{20 $W$} and the power static is equal to \textbf{4 $W$}. + \end{itemize} + \end{femtoBlock} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 18 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Experimental results} + \begin{femtoBlock}{} + \centering { + \includegraphics[width=.35\textwidth]{c1/ep} + \includegraphics[width=.35\textwidth]{c1/cg} + \includegraphics[width=.35\textwidth]{c1/bt}} + + \centering {\includegraphics[width=.55\textwidth]{c1/results.pdf}} + \end{femtoBlock} +\end{frame} + + + %%%%%%%%%%%%%%%%%%%% +%% SLIDE 19 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Results comparison} + \begin{block}{\small Rauber and Rünger's optimal scaling factor} + $S_{opt} = \sqrt[3]{\frac{2}{N} \cdot \frac{P_{dyn}}{P_{static}} \cdot + \left( 1 + \sum_{i=2}^{N} \frac{T_i^3}{T_1^3}\right) } $ + \end{block} + \centering { + %\includegraphics[width=.33\textwidth]{c1/c1.pdf} + %\qquad + %\includegraphics[width=.33\textwidth]{c1/c2.pdf}} + + + \includegraphics[width=.55\textwidth]{c1/compare_c.pdf}} + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 20 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The proposed new energy model} + \vspace{-0.75cm} + \begin{figure} + \animategraphics[autopause,controls,scale=0.28,buttonsize=0.2cm]{10}{homo-model/a-}{0}{356} + \end{figure} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 21 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Comparing the new model with Rauber model } + \vspace{0.1cm} + \centering + \includegraphics[width=.45\textwidth]{c1/energy_con} + + \includegraphics[width=.5\textwidth]{c1/compare-scales} +\end{frame} + + + + + % \begin{frame}{Summary} + % \begin{femtoBlock}{} + % \begin{itemize} + %\small + %\item We have presented a new online scaling factor selection method that \textcolor{blue}{optimizes simultaneously the energy and performance}.\medskip + % \item It predicts \textcolor{blue}{ the energy consumption and the performance} of the parallel applications. \medskip + %\item Our algorithm \textcolor{blue}{saves more energy} when the communication and the other slacks times are big. \medskip + %\item It gives the \textcolor{blue}{best trade-off between energy reduction and + % performance}. \medskip + %\item Our method \ \textcolor{blue}{outperforms Rauber and Rünger's method} in terms of energy-performance ratio. + %\item The proposed new energy model is \textcolor{blue}{more accurate} then Rauber energy model. + %\end{itemize} + + %\end{femtoBlock} +%\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 22 %% +%%%%%%%%%%%%%%%%%%%% + + +\begin{frame}{Contribution} + +\subsection{\small {3.2 Energy optimization of heterogeneous platform}} +\begin{center} +\bf \textcolor{black}{Second contribution} \\ +\vspace{1cm} +\bf \Large \textcolor{blue}{Energy optimization of Heterogeneous platform} +\end{center} + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 23 %% +%%%%%%%%%%%%%%%%%%%% + +\begin{frame}{Objectives} + \begin{femtoBlock}{} \vspace{-12 mm} + \begin{itemize} \small + \item Evaluating the \textcolor{blue}{new energy and performance models} of message passing applications with iterations running + over a heterogeneous platform (cluster and Grid). \medskip + \item Study the effect of the scaling factor $S$ on both \textcolor{blue}{energy consumption and the performance} of + message passing iterative applications. \medskip + + \item Computing the vector of scaling factors ($S_1, S_2, ..., S_n$) producing \textcolor{blue} {optimal trade-off} between + energy consumption and performance. + \end{itemize} + + \vspace{-10 mm} + \end{femtoBlock} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 24 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The execution time model} + \vspace{-8 mm} + \begin{figure}[!t] + \centering + \includegraphics[scale=0.5]{c2/commtasks} + \label{fig:heter} + \end{figure} + \vspace{-12 mm} + \medskip + + \begin{block}{\small The execution time prediction model} + \begin{equation} + \label{eq:perf} + \small\textcolor{red}{ T_{new}} = \textcolor{blue}{\max_{i=1,2,\dots,N} ({TcpOld_i} \cdot S_{i}) + \min_{i=1,2,\dots,N} (Tcm_i)} + \end{equation} + \end{block} + \small Where: $ \textcolor{red}{Tcm} = \textcolor{blue}{communication~times + slack~times}$ + +\end{frame} + + %%%%%%%%%%%%%%%%%%%% +%% SLIDE 25 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{The energy consumption model} + -The overall energy consumption of a message passing synchronous distributed application executed over a + heterogeneous platform is computed as follows: + \begin{multline} + \label{eq:energy} + \textcolor{red}{E} = \textcolor{blue}{\sum_{i=1}^{N} {(S_i^{-2} \cdot Pd_i \cdot Tcp_i)}} + {} \\ + \textcolor{blue}{\sum_{i=1}^{N} (Ps_i \cdot (\max_{i=1,2,\dots,N} (Tcp_i \cdot S_{i}) + {\min_{i=1,2,\dots,N} (Tcm_i))}} + \hspace{10 mm} + \end{multline} + \underline{where}:\\ + \textcolor{blue}{N} : is the number of nodes. +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 26 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{The energy model example for heter. cluster} + \vspace{-0.5cm} + \begin{figure} + \animategraphics[autopause,controls,scale=0.28,buttonsize=0.2cm]{10}{heter-model/a-}{0}{272} + \end{figure} + \end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 27 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The trade-off between energy and performance} + \vspace{-7 mm} + \begin{figure} + \centering{ \includegraphics[width=.4\textwidth]{c2/heter}} + \end{figure} + \vspace{-7 mm} + \textcolor{red}{\underline{Step1}}: computing the normalized energy \textcolor{blue}{$E_{norm} = \frac{E_{reduced}} + {E_{Max}}$}. \\ + \textcolor{red}{\underline{Step2}}: computing the normalized performance \textcolor{blue}{$P_{norm} = \frac{T_{Max}}{T_{new}}$}. + + \begin{block}{\small The tradeoff model} + \begin{equation} + \label{eq:max} + \textcolor{red}{MaxDist} = + \mathop {\max_{i=1,\dots F}}_{j=1,\dots,N} + (\overbrace{P_{norm}(S_{ij})}^{\text{\textcolor{blue}{Maximize}}} - + \overbrace{E_{norm}(S_{ij})}^{\text{\textcolor{blue}{Minimize}}} ) + \end{equation} + \end{block} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 28 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{The scaling algorithm for heter. cluster} + + \centering + \includegraphics[width=.52\textwidth]{algo-heter} + \end{frame} + + + %%%%%%%%%%%%%%%%%%%% +%% SLIDE 29 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{The scaling algorithm example} + \vspace{-0.5cm} + \centering + + \begin{figure} + \animategraphics[autopause,controls,scale=0.28,buttonsize=0.2cm]{10}{dvfs-heter/a-}{0}{650} + \end{figure} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 30 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Experiments over heterogeneous cluster } + \begin{itemize} + \small + \item The experiments executed on the simulator SimGrid/SMPI v3.10.\medskip + \item The scaling algorithm was applied to the NAS parallel benchmarks class C.\medskip + \item Four types of processors with different computing powers were used.\medskip + \item We ran the benchmarks on different number of nodes ranging from 4 to 144 nodes.\medskip + \item The total power consumption of the chosen CPUs is composed of $80\%$ for dynamic power and $20\%$ for static power. + \medskip + + \end{itemize} + +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 31 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The experimental results} + \vspace{-5 mm} + \begin{figure}[!t] + \centering + \includegraphics[width=0.8\textwidth]{c2/energy_saving.pdf} + + \textcolor{blue}{On average, it saves the energy consumption by \textcolor{red}{29\%} + of NAS benchmarks class C executed over 8 nodes} + + \end{figure} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 32 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The experimental results} + \vspace{-5 mm} + \begin{figure}[!t] + \centering + + \includegraphics[width=.8\textwidth]{c2/perf_degra.pdf} + + \textcolor{blue}{On average, it degrades the performance by \textcolor{red}{3.8\%} + of NAS benchmarks class C executed over 8 nodes} + \end{figure} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 33 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The results of the three powers scenarios} + \vspace{-5 mm} + \begin{figure}[!t] + \centering + \includegraphics[width=.55\textwidth]{c2/three_power.pdf} + \vspace{10 mm} + \includegraphics[width=.55\textwidth]{c2/three_scenarios.pdf} + \end{figure} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 34 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The comparing our method} + The proposed method (MaxDist) was compared to the EDP algorithm that minimizes the \textcolor{blue}{ + $\mathit{energy}\times \mathit{delay}$} value. + \vspace{-5 mm} + \begin{figure}[!t] + \centering + \includegraphics[width=.55\textwidth]{c2/avg_compare.pdf} + + \includegraphics[width=.55\textwidth]{c2/compare_with_EDP.pdf} + \end{figure} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 35 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Energy optimization of grid platform} + \begin{figure}[!t] + \centering + \includegraphics[width=.6\textwidth]{c2/grid5000.pdf} + + \small 10 sites distributed over France and Luxembourg + \end{figure} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 36 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{Performance, Energy and trade-off models} \small + \begin{block}{\small The performance model of grid} + \begin{equation} + \label{eq:perf} + \Tnew = \mathop{\max_{i=1,\dots N}}_{j=1,\dots,M_i}({\TcpOld[ij]} \cdot S_{ij}) + +\mathop{\min_{j=1,\dots,M_h}} (\Tcm[hj]) +\end{equation} + \end{block} + + + \begin{block}{\small The energy model of grid}\small + \begin{equation} + \label{eq:energy} + E = \sum_{i=1}^{N} \sum_{i=1}^{M_i} {(S_{ij}^{-2} \cdot \Pd[ij] \cdot \Tcp[ij])} + + \sum_{i=1}^{N} \sum_{j=1}^{M_i} (\Ps[ij] \cdot \Tnew) +\end{equation} + \end{block} + +\begin{block}{\small The trade-off model of grid} +\small + \begin{equation} + \label{eq:max} + \MaxDist = + \mathop{ \mathop{\max_{i=1,\dots N}}_{j=1,\dots,M_i}}_{k=1,\dots,F_j} + (\overbrace{\Pnorm(S_{ijk})}^{\text{Maximize}} - + \overbrace{\Enorm(S_{ijk})}^{\text{Minimize}} ) +\end{equation} + \end{block} + + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 37 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{Experiments over Grid'5000} + \centering + + \includegraphics[width=.5\textwidth]{c2/grid5000-2.pdf} + + \vspace{-3 mm} + \textcolor{blue}{The experiments executed over one site and two sites scenarios} + + \vspace{1mm} + + \includegraphics[width=.5\textwidth]{c2/power_consumption.pdf} + + \textcolor{blue}{We used Grid'5000 power measurement tools} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 38 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Experiments over Grid'5000} + + \begin{minipage}{0.4\textwidth} + \textcolor{blue}{Execution the NAS class D on 16 nodes saves the energy by + \textcolor{red}{30\%}} + \end{minipage} + \begin{minipage}{0.55\textwidth} + \begin{figure}[h!] + \includegraphics[width=0.83 \textwidth]{c2/eng_s.eps} + \end{figure} +\end{minipage} + + \begin{minipage}{0.4\textwidth} + \textcolor{blue}{Execution the NAS class D on 16 nodes degrades the + performance by \textcolor{red}{3.2\%}} + \end{minipage} + \begin{minipage}{0.55\textwidth} + \begin{figure}[h!] + \includegraphics[width=.83\textwidth]{c2/per_d.eps} + \end{figure} + \end{minipage} + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 39 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Experiments over Grid'5000} + \textcolor{blue}{One core and Multi-cores per node results:} + + \begin{figure}[h!] + \includegraphics[width=.48\textwidth]{c2/eng_s_mc.eps} + \hspace{0.3cm} + \includegraphics[width=.48\textwidth]{c2/per_d_mc.eps} + \end{figure} + + \centering \small \textcolor{blue}{Using multi-core per node scenario decreases the computations to communications ratio}. +\end{frame} + + + +%\begin{frame}{Summary} +%\begin{itemize} + % \small + % \item Two scaling algorithm were applies to \textcolor{blue}{heterogeneous %cluster} and \textcolor{blue}{grid}. + % \item A new \textcolor{blue}{energy} and \textcolor{blue}{performance} models were proposed. + % \item The experimental results ere conducted over \textcolor{blue}{SimGrid} simulators and real + %test-bed \textcolor{blue}{Grid'5000}. + + %\item The algorithm saves the energy by \textcolor{blue}{29\%} and only + % degrades the performance by \textcolor{blue}{3.8\%} for simulated heterogeneous + % clusters. + + %\item The algorithm saves the energy by \textcolor{blue}{30\%} and only + % degrades the performance by \textcolor{blue}{3.2\%} for Grid'5000 results. + + % \item The proposed method \textcolor{blue}{outperforms the EDP method} in terms of energy-performance ratio. + % \end{itemize} +%\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 40 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Continuation} +\subsection{\small {3.3 Energy optimization of asynchronous applications}} +\begin{center} +\bf \textcolor{black}{Third contribution} \\ +\vspace{1cm} +\bf \Large \textcolor{blue}{Energy optimization of asynchronous applications} +\end{center} + \end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 41 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Problem definition}\vspace{0.8 mm} +\textcolor{blue}{Execution the parallel iterative application with synchronous communications } +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.25,buttonsize=0.2cm]{10}{syn/a-}{0}{503} + \end{figure} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 42 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Problem definition}\vspace{0.8 mm} +\textcolor{blue}{Execution the parallel iterative application with synchronous communications } +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.25,buttonsize=0.2cm]{10}{asyn/a-}{0}{440} + \end{figure} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 43 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Solution}\vspace{0.8mm} +\textcolor{blue}{Using asynchronous communications with DVFS } +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.25,buttonsize=0.2cm]{10}{asyn+dvfs/a-}{0}{314} + \end{figure} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 44 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The performance models} + +\begin{block}{\small The performance model of Asynch. Applications}\small +\begin{equation} + \label{eq:asyn_time} + \Tnew = \frac{\sum_{i=1}^{N} \sum_{j=1}^{M_i}({\TcpOld[ij]} \cdot S_{ij})} {N \cdot M_i } +\end{equation} +\end{block} + + +\begin{block}{\small The performance model of Hybrid Applications}\small +\begin{equation} + \label{eq:asyn_perf} + \Tnew = \frac{\sum_{i=1}^{N} (\max_{j=1,\dots, M_i} ({\TcpOld[ij]} \cdot S_{ij}) + + \min_{j=1,\dots,M_i} ({\Ltcm[ij]}))}{N} +\end{equation} +\end{block} + + +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 45 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The energy consumption models} + +\begin{block}{\small The energy model of Asynch. Applications}\small +\begin{equation} + \label{eq:asyn_energy1} + E = \sum_{i=1}^{N} \sum_{j=1}^{M_i} {(S_{ij}^{-2} \cdot \Tcp[ij] \cdot (\Pd[ij]+\Ps[ij]) )} +\end{equation} +\end{block} + + +\begin{block}{\small The energy model of Hybrid Applications}\small +\begin{multline} + \label{eq:asyn_energy} + E = \sum_{i=1}^{N} \sum_{j=1}^{M_i} {(S_{ij}^{-2} \cdot \Pd[ij] \cdot \Tcp[ij])} + \sum_{i=1}^{N} \sum_{j=1}^{M_i} (\Ps[ij] \cdot \\ + ( \mathop{\max_{j=1,\dots,M_i}} ({\Tcp[ij]} \cdot S_{ij}) + \mathop{\min_{j=1,\dots,M_i}} ({\Ltcm[ij]}))) +\end{multline} +\end{block} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 46 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The scaling algorithm for Asynch. applications} +\vspace{-0.1 mm} +\centering +\includegraphics[width=0.55\textwidth]{algo-hybrid.pdf} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 47 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The experimental results} + \vspace{-5 mm} + \begin{figure}[!t] + \centering + \includegraphics[width=0.5\textwidth]{c3/hybrid-model.pdf} + \end{figure} + \begin{itemize} + \small + \item Execution the iterative multi-splitting method over simulated Grid. + \item Execution the iterative multi-splitting method over Grid'5000 test-bed. + \end{itemize} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 48 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The simulation results} +\centering \small \textcolor{blue}{The best scenario in term of energy and performance is the Async. MS with Sync. DVFS} + +\centering + \includegraphics[scale=0.46]{c3/energy_saving.eps} + + \centering The average of energy saving = \textcolor{red}{22\%} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 49 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The simulation results} +\centering + + \includegraphics[scale=0.46]{c3/perf_degra.eps} + + \centering The average of speed-up = \textcolor{red}{5.72\%} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 50 %% +%%%%%%%%%%%%%%%%%%%% + \begin{frame}{The Grid'5000 results} + \vspace{-20 mm} + \begin{figure}[!t] + \centering + \hspace{-8 mm} + \includegraphics[width=0.53\textwidth]{c3/energy-s-compare.eps} + \includegraphics[width=0.53\textwidth]{c3/perf-deg-compare.eps} + \end{figure} + \vspace{-5 mm} + \centering + The energy saving = \textcolor{red}{26.93\%}, speeds up = \textcolor{red}{21.48\%} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 51 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{The comparison results} + \centering + \includegraphics[width=.5\textwidth]{c3/compare.eps} + + \includegraphics[width=.5\textwidth]{c3/compare_scales.eps} +\end{frame} + + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 52 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Conclusions} +\section{Conclusions} +\begin{itemize} + +\small \barrow We have proposed \textcolor{blue}{a new energy consumption and performance} models for + synchronous and asynchronous parallel applications with iterations. + + +\small \barrow The parallel applications with iterations were executed over different parallel architectures such as: \textcolor{blue}{homogeneous cluster, heterogeneous cluster and +grid}. + +\small \barrow We have proposed \textcolor{blue}{new objective function} to optimize both the energy consumption and the performance. + +\small \barrow \textcolor{blue}{New online frequency selecting algorithms} for clusters and grids were developed. + +\small \barrow The proposed algorithms were applied to the \textcolor{blue}{NAS parallel benchmarks} and \textcolor{blue}{the +Multi-splitting} method. + +\small \barrow The proposed algorithms were evaluated over the \textcolor{blue}{SimGrid simulator and over Grid'5000 testbed}. + +\small \barrow All the proposed methods were compared with either \textcolor{blue}{Rauber and Rünger method} or \textcolor{blue}{EDP objective function}. + + +\end{itemize} +\end{frame} + + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 53 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Publication} + +\begin{block}{\small Journal Articles }\scriptsize +\begin{enumerate}[$\lbrack$1$\rbrack$] + +\item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch. Optimizing the energy consumption of message passing applications with iterations executed over grids. \textit{Journal of Computational + Science}, 2016. + +\item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch. Energy Consumption Reduction for + Asynchronous Message Passing Applications. \textit{Journal of Supercomputing}, 2016, (Submitted) + +\end{enumerate} +\end{block} + + +\begin{block}{\small Conference Articles }\scriptsize + +\begin{enumerate}[$\lbrack$1$\rbrack$] + +\item Jean-Claude Charr, Raphaël Couturier, Ahmed Fanfakh, Arnaud Giersch. Dynamic Frequency Scaling for + Energy Consumption Reduction in Distributed MPI Programs. \textit{ISPA 2014}, pp. + 225-230. IEEE Computer Society, Milan, Italy (2014). + +\item Jean-Claude Charr, Raphaël Couturier, Ahmed Fanfakh, Arnaud Giersch. Energy Consumption Reduction + with DVFS for Message Passing Iterative Applications on Heterogeneous Architectures. + \textit{The $16^{th}$ PDSEC}. pp. 922-931. IEEE Computer Society, INDIA (2015). + +\item Ahmed Fanfakh, Jean-Claude Charr, Raphaël Couturier, Arnaud Giersch. CPUs Energy Consumption + Reduction for Asynchronous Parallel Methods Running over Grids. \textit{The $19^{th}$ CSE conference}. IEEE Computer Society, + Paris (2016). + +\end{enumerate} + +\end{block} +\end{frame} + + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 54 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Perspectives} +\section{Perspectives} + +\begin{itemize} + +\small \barrow We will adapt the proposed algorithms to take into consideration the +\textcolor{blue}{variability between some iterations}. + +\small \barrow The proposed algorithms should be applied to \textcolor{blue}{other message passing methods with iterations} in order to see how they adapt to the characteristics of these methods. + +\small \barrow The proposed algorithms for heterogeneous platforms should be applied to heterogeneous platforms composed of \textcolor{blue}{CPUs and GPUs}. + +\small \barrow Comparing the results returned by the energy models to the values given by \textcolor{blue}{real instruments that measure the energy consumptions} of CPUs during the execution time. +\end{itemize} + +\end{frame} + +%%%%%%%%%%%%%%%%%%%% +%% SLIDE 55 %% +%%%%%%%%%%%%%%%%%%%% +\begin{frame}{Fin} \vspace{-10 mm} + + \centering \Large \textcolor{blue}{Thanks for Your Listening} + + \vspace{2cm} + \centering \textcolor{blue}{ {\Large Questions?}} + +\end{frame} +\end{document} +% _____ ___ _ _ +% | ___|_ _| \ | | +% | |_ | || \| | +% | _| | || |\ | +% |_| |___|_| \_| +% diff --git a/thesis-presentation/AhmedSlides.toc b/thesis-presentation/AhmedSlides.toc new file mode 100644 index 0000000..0f0c473 --- /dev/null +++ b/thesis-presentation/AhmedSlides.toc @@ -0,0 +1,9 @@ +\beamer@endinputifotherversion {3.33pt} +\beamer@sectionintoc {1}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{3}{0}{1} +\beamer@sectionintoc {2}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Using the energy reduction method}}{7}{0}{2} +\beamer@sectionintoc {3}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Contributions}}{8}{0}{3} +\beamer@subsectionintoc {3}{1}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.1 Energy optimization of homogeneous platform}}{8}{0}{3} +\beamer@subsectionintoc {3}{2}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.2 Energy 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-0,0 +1,23 @@ +#!/bin/bash + +#for f in {9..11}; do cp aa/a-3.png a-$f.png; done +#for f in {$i..$j}; do cp ${file} a-$f.png; done + i=0 + j=9 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 10)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/Hexagones.jpg b/thesis-presentation/Hexagones.jpg new file mode 100644 index 0000000..66d43f8 Binary files /dev/null and b/thesis-presentation/Hexagones.jpg differ diff --git a/thesis-presentation/ModelePresentationFemto.tex~ b/thesis-presentation/ModelePresentationFemto.tex~ new file mode 100644 index 0000000..c2d1b28 --- /dev/null +++ b/thesis-presentation/ModelePresentationFemto.tex~ @@ -0,0 +1,218 @@ +\documentclass{beamer} +\usepackage{beamerthemefemto} +\usepackage[latin1]{inputenc} +\usepackage[T1]{fontenc} +\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} +\usepackage{algorithm,algorithmicx,algpseudocode} +\usepackage{graphicx,graphics} +\usepackage{subfig} +\usepackage{listings} +\usepackage{colortbl} +\usepackage{amsmath} +\usepackage{xspace} + +\usepackage[textsize=footnotesize]{todonotes} +\title{Optimal Dynamic Frequency Scaling for Energy - Performance of Parallel MPI Programs} + +\author{Jean-Claude Charr, Raphaël Couturier, Ahmed Fanfakh + and Arnaud Giersch} +\institute[DISC Department - AND Team]{FEMTO-ST - DISC Department - AND Team} +\date{August 29th,~2014} +% ____ _____ ____ _ _ _____ +% | _ \| ____| __ )| | | |_ _| +% | | | | _| | _ \| | | | | | +% | |_| | |___| |_) | |_| | | | +% |____/|_____|____/ \___/ |_| +% +\begin{document} +\setbeamertemplate{background}{\titrefemto} +\begin{frame}[plain] +\titlepage +\end{frame} + +\setbeamertemplate{background}{\pagefemto} +\begin{frame}{Outline} +\setbeamertemplate{section in toc}[sections numbered] +\tableofcontents +\end{frame} +\section{Definitions and objectives } +\begin{frame}{Definitions} + \begin{femtoBlock} + {} +% Et ici le texte dans le femtoBlock + \begin{itemize} + \small \item Modern processors provide \textbf{Dynamic Voltage and Frequency Scaling (DVFS)} technique. \medskip + \item DVFS is used to reduce the frequency and thus to \textbf{reduce the energy consumption} by a CPU while computing.\medskip + \item Energy consumption by \textbf{individual processor} of a synchronous parallel program: + + $E_{ind} = P_{dyn} \cdot T_{Comp} + P_{static} \cdot (T_{Comp}+T_{Comm})$.\medskip + \item The frequency scaling factor is the ratio between the maximum and the new frequency, $S = \frac{F_{max}}{F_{new}}$. \medskip + + \end{itemize} + \end{femtoBlock} +\end{frame} + + +\begin{frame}{Objectives} + \begin{femtoBlock}{} \vspace{-12 mm} + \begin{itemize} \small + \item Study the effect of the scaling factor $S$ on \textbf{energy consumption} of parallel iterative applications such as NAS + Benchmarks. \includegraphics[width=.06\textwidth]{fig/nasa.pdf} \medskip + \item Study the effect of the scaling factor $S$ on \textbf{performance} of these benchmarks.\medskip + \item Discovering the \textbf{energy-performance trade-off relation} when changing the frequency.\medskip + \item We propose an algorithm for selecting the scaling factor $S$ producing \textbf {optimal trade-off} between the energy and performance. \medskip + \item Improving Rauber and Rünger's\footnote{\tiny Thomas Rauber and Gudula Rünger. Analytical modeling and simulation of the + energy consumption \\ \quad ~ ~\quad of independent tasks. In Proceedings of the Winter Simulation Conference, 2012.} method that our method best on. + \end{itemize} + \let\thefootnote\relax\footnote{} + \vspace{-10 mm} + \end{femtoBlock} +\end{frame} +\section{Energy and performance models} +\begin{frame}{Energy model for homogeneous platform} + \begin{femtoBlock}{}\small + The dynamic power is \textbf{exponentially} related to the scaling factor $S$ and the static consumed energy is \textbf{linearly} + related to this factor. + \begin{block}{\small Rauber and Rünger's energy model} + $ E = P_{dyn} \cdot S_1^{-2} \cdot + \left( T_1 + \sum_{i=2}^{N} \frac{T_i^3}{T_1^2} \right) + + P_{static} \cdot S_1 \cdot T_1 \cdot N$ + \end{block} + $S_1$: is the max. scaling factor, $T_I$: is the time of the slower task, $T_i$: is the time of the other tasks and + $N$: is the number of nodes. + \begin{block}{\small Rauber and Rünger's optimal scaling factor} + $S_{opt} = \sqrt[3]{\frac{2}{N} \cdot \frac{P_{dyn}}{P_{static}} \cdot + \left( 1 + \sum_{i=2}^{N} \frac{T_i^3}{T_1^3}\right) } $ + \end{block} + They reduce degradation of the performance by \textbf{setting the highest frequency to the slowest task}. + \end{femtoBlock} +\end{frame} + + +\begin{frame}{Performance evaluation of MPI programs} + \begin{femtoBlock}{} + \vspace{-5 mm} + \begin{block}{\small Execution time prediction model} + \centering{ $ T_{new} = T_{Max Comp Old} \cdot S + T_{{Max Comm Old}}$} + \end{block} + \vspace{10 mm} + \centering{\includegraphics[width=.35\textwidth]{fig/cg_per} + \quad% + \includegraphics[width=.35\textwidth]{fig/lu_pre}} + \vspace{5 mm} + + \small The maximum normalized error for CG=0.0073 \textbf{(the smallest)} and LU=0.031 \textbf{(the worst)}. + \end{femtoBlock} +\end{frame} + +\section{Performance and energy reduction trade-off} + +\begin{frame}{Performance and energy reduction trade-off} + \begin{femtoBlock}{} \vspace{-15 mm} + \begin{figure} + \centering + \subfloat[\small Real relation.]{% + \includegraphics[width=.4\textwidth]{fig/file3}\label{fig:r2}} + \quad% + \subfloat[\small Converted relation.]{% + \includegraphics[width=.4\textwidth]{fig/file}\label{fig:r1}}% + \label{fig:rel} + % \caption{The energy and performance relation} +\end{figure} +$Performance=\frac{1}{execution~time}$ + \small + \begin{block}{\small Our objective function} + \centering{$\textbf{\emph {MaxDist}} = \max_{j=1,2,\dots ,F} + (\overbrace{P_{Norm}(S_j)}^{{Maximize}} - + \overbrace{E_{Norm}(S_j)}^{{Minimize}} )$} + + \end{block} + \end{femtoBlock} + +\end{frame} + + + + +\section{Experimental results and comparison} + +\begin{frame}{Experimental results } + \begin{femtoBlock}{} + \begin{itemize} + \small + \item Our experiments are executed on the simulator SimGrid/SMPI v3.10.\medskip + \item Our algorithm is applied to NAS parallel benchmarks.\medskip + \item Each node in the cluster has 18 frequency values from \textbf{2.5$GHz$} to \textbf{800$MHz$}.\medskip + \item We run the classes A, B and C on 4, 8 or 9 and 16 nodes respectively.\medskip + \item The dynamic power with the highest frequency is equal to \textbf{20 $W$} and the power static is equal to \textbf{4 $W$}. + \end{itemize} + \end{femtoBlock} +\end{frame} + +\begin{frame}{Experimental results} + \begin{femtoBlock}{} + \centering { + \includegraphics[width=.35\textwidth]{fig/ep} + \includegraphics[width=.35\textwidth]{fig/cg} + \includegraphics[width=.35\textwidth]{fig/bt}} + + \centering {\includegraphics[width=.55\textwidth]{fig/results.pdf}} + \end{femtoBlock} +\end{frame} + +\begin{frame}{Results comparison} + \begin{femtoBlock}{} + \centering { + \includegraphics[width=.33\textwidth]{fig/c1.pdf} + \qquad + \includegraphics[width=.33\textwidth]{fig/c2.pdf}} + + + \includegraphics[width=.45\textwidth]{fig/compare_c.pdf} + \end{femtoBlock} +\end{frame} + + + + + +\section{Conclusions} +\begin{frame}{Conclusions} + \begin{femtoBlock}{} + \begin{itemize} + \small + \item We have presented a new online scaling factor selection method that \textbf{optimizes simultaneously the energy and performance}.\medskip + \item It predicts \textbf{ the energy consumption and the performance} of the parallel applications. \medskip + \item Our algorithm \textbf{saves more energy} when the communication and the other slacks times are big. \medskip + \item It gives the \textbf{best trade-off between energy reduction and + performance}. \medskip + \item Our method \textbf{outperforms Rauber and Rünger's method} in terms of energy-performance ratio. + \end{itemize} + + \end{femtoBlock} +\end{frame} + + + + +\begin{frame}{Thanks for Listening} \vspace{-10 mm} + \begin{femtoBlock}{} + \begin{block}{\small Appeared} + This work has appeared in ISPA conference proceedings, 26-28 August 2014 + \end{block} +\medskip +\medskip \medskip \medskip + + + \centering {\Large Questions?} + + \end{femtoBlock} +\end{frame} + +\end{document} +% _____ ___ _ _ +% | ___|_ _| \ | | +% | |_ | || \| | +% | _| | || |\ | +% |_| 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\animategraphics[autopause,controls,scale=0.28,buttonsize=0.2cm]{10}{DVFS-meq/a-}{0}{109} + + \end{figure} +\end{frame} + + + + +\begin{frame}{On-OFF scheduling technique } +\vspace{-8 mm} + +\begin{figure} + \animategraphics[autopause,controls,scale=0.27,buttonsize=0.2cm]{200}{on-off/a-}{0}{69} + + \end{figure} +\end{frame} + + +\begin{frame}{The scaling algorithm on homogeneous cluster} +\vspace{-8 mm} + +\begin{figure} + \animategraphics[autopause,controls,scale=0.26,buttonsize=0.2cm]{10}{dvfs-homo/a-}{0}{159} + + \end{figure} +\end{frame} + +\begin{frame}{The scaling algorithm for heterogeneous cluster} +\vspace{-8 mm} + +\begin{figure} + \animategraphics[autopause,controls,scale=0.26,buttonsize=0.2cm]{10}{dvfs-heter/a-}{0}{650} + \end{figure} +\end{frame} + + +\begin{frame}{The scaling algorithm for asynchronous applications} +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.26,buttonsize=0.2cm]{10}{syn/a-}{0}{503} + \end{figure} +\end{frame} + + +\begin{frame}{The scaling algorithm for asynchronous applications} +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.26,buttonsize=0.2cm]{10}{asyn/a-}{0}{440} + \end{figure} +\end{frame} + +\begin{frame}{The scaling algorithm for asynchronous applications} +\vspace{-8 mm} +\begin{figure} + \animategraphics[autopause,controls,scale=0.26,buttonsize=0.2cm]{10}{asyn+dvfs/a-}{0}{314} + \end{figure} +\end{frame} + + diff --git a/thesis-presentation/asyn+dvfs/0rg.svg b/thesis-presentation/asyn+dvfs/0rg.svg new file mode 100644 index 0000000..a6fde37 --- /dev/null +++ b/thesis-presentation/asyn+dvfs/0rg.svg @@ -0,0 +1,963 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + jmghjyjhytyt + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Long distance communication + Local cluster communication + + Cluster B + Cluster A + Aynchronous communication + Case 3 Asynchronouscomunications + + + + 10 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+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Long distance communication + Local cluster communication + + B: Fast cluster + A: Slow cluster + Asynchronous communication + waiting forA to finish + Comuunicatingwith A + Case 2 Asynchronouscomunications + + + + 6 Iterations + Action + + + Computing + + + + 13 Iterations + Action + + + Computing + + + + + + + + + + + Waiting timesbetween clusters Communicationtimes between clusters + + + + + + + Total idle times=0 + + increase incomputation times between A and B + + + + + + + + + + + + + + + diff --git a/thesis-presentation/asyn/a-0.png b/thesis-presentation/asyn/a-0.png new file mode 100644 index 0000000..6beb26b Binary files /dev/null and b/thesis-presentation/asyn/a-0.png differ diff --git a/thesis-presentation/asyn/a-1.png b/thesis-presentation/asyn/a-1.png new file mode 100644 index 0000000..6beb26b Binary files /dev/null and b/thesis-presentation/asyn/a-1.png differ diff --git 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b/thesis-presentation/asyn/aa/b-992.png new file mode 100644 index 0000000..0011b04 Binary files /dev/null and b/thesis-presentation/asyn/aa/b-992.png differ diff --git a/thesis-presentation/asyn/mcp.sh b/thesis-presentation/asyn/mcp.sh new file mode 100644 index 0000000..7b3d218 --- /dev/null +++ b/thesis-presentation/asyn/mcp.sh @@ -0,0 +1,23 @@ +#!/bin/bash + +#for f in {9..11}; do cp aa/a-3.png a-$f.png; done +#for f in {$i..$j}; do cp ${file} a-$f.png; done + i=0 + j=20 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 21)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/asyn/org.svg b/thesis-presentation/asyn/org.svg new file mode 100644 index 0000000..8b9e5c1 --- /dev/null +++ b/thesis-presentation/asyn/org.svg @@ -0,0 +1,747 @@ + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + jmghjyjhytyt + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Long distance communication + Local cluster communication + + B: Fast cluster + A: Slow cluster + Synchronous communication + + 1 Iterations + + + + 1 Iterations + Action + + + Computing waiting forA to finish + Comuunicatingwith A + Case 2 Asynchronouscomunications + + + + + + + + + + + + Waiting timesbetween clusters Latency times between clusters + + + + + + + Total idle times + + + diff --git a/thesis-presentation/beamerthemefemto.sty b/thesis-presentation/beamerthemefemto.sty new file mode 100644 index 0000000..252d2fa --- /dev/null +++ b/thesis-presentation/beamerthemefemto.sty @@ -0,0 +1,217 @@ +%------------------------------------------------------------------------------- +% LaTeX Beamer theme "femto" from the femto-st evaluation model (2011) JM Nicod and PC Heam (LIFC) +% +% author: Christophe Varnier et passage au ".sty" par G. Laurent +% Joel Abadie (12/06/2012) rajout de fonctionnalites tikzpicture +% Jean-Marc Nicod (logo + reglage pied de page) +%------------------------------------------------------------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{beamerthemefemto}[2012/06/05 beamer theme femto package] +\RequirePackage{times} +\RequirePackage{tikz} +%------------------------------------------------------------------------------- + +% _ _ _ _ +% ___| |_ _ _| | ___ ___| |_ ___ ___ _ _| | ___ _ _ _ __ ___ +% / __| __| | | | |/ _ \ / _ \ __| / __/ _ \| | | | |/ _ \ | | | '__/ __| +% \__ \ |_| |_| | | __/ | __/ |_ | (_| (_) | |_| | | __/ |_| | | \__ \ +% |___/\__|\__, |_|\___| \___|\__| \___\___/ \__,_|_|\___|\__,_|_| |___/ +% |___/ +% + +% commande permettant de dessiner une page de fond +% appel depuis le document par : \setbeamertemplate{background}{\titrefemto} +\newcommand{\titrefemto}{ +\begin{tikzpicture} + %definition du node centre au dimension de la page + \node[minimum height=\paperheight, minimum width=\paperwidth](centre) {}; + % placement des logos en bas à gauche + \matrix[above right=4mm, ampersand replacement=\&] at (centre.south west){ + \node[anchor=center]{\includegraphics[width=7mm]{logo-UFC.jpg}}; \& + \node[anchor=center]{\includegraphics[width=6mm]{logo-CNRS.jpg}}; \& + \node[anchor=center]{\includegraphics[width=13mm]{logo-ENSMM.jpg}}; \& + \node[anchor=center]{\includegraphics[width=12mm]{logo-UTBM.jpg}}; \\ + }; + %placement des logos en haut à droite + \node[below left, inner sep=0] at (centre.north east) {\includegraphics[width=5.5cm]{Hexagones.jpg}}; + %placement des logos en haut à gauche +% \node[below right=6mm] at (centre.north west) {\includegraphics[width=2.8cm]{Femto-logo_couleur-2012.png}}; + \node[below right=6mm] at (centre.north west) {\includegraphics[width=2.8cm]{logo-FEMTO.jpg}}; +\end{tikzpicture} +} + +% commande permettant de dessiner une page de fond +% appel depuis le document par : \setbeamertemplate{background}{\pagefemto} +\newcommand{\pagefemto}{ +\begin{tikzpicture} + % definition du node centre au dimension de la page + \node[minimum height=\paperheight, minimum width=\paperwidth](centre) {}; + % placement des logos en bas à gauche +% \node[above right=3mm] at (centre.south west) {\includegraphics[width=1.2cm]{Femto-logo_couleur-2012.png}}; + \node[above right=0.75mm] at ([shift={(0.25,0)}]centre.south west) {\includegraphics[width=1.2cm]{logo-FEMTO.jpg}}; + %placement des logos en haut à droite + \node[below left, inner sep=0](hexa) at (centre.north east) {\includegraphics[width=3.9cm]{Hexagones.jpg}}; + %trace des traits + \coordinate (A) at ([shift={(0.5,-1.4)}]centre.north west); + \coordinate (B) at (A-| hexa.west); + \draw[BleuFemtoTitre] (A) -- ([xshift=-3mm]B); + %trait inferieur +% \coordinate (A) at ([shift={(0.5,1.1)}]centre.south west); + \coordinate (A) at ([shift={(0.5,.8)}]centre.south west); +% \coordinate (B) at ([shift={(-0.5,1.1)}]centre.south east); + \coordinate (B) at ([shift={(-0.5,.8)}]centre.south east); + \draw[BleuFemtoTitre] (A) -- (B); +\end{tikzpicture} +} + +% \definecolor{GreenYellow}{cmyk}{0.15,0,0.69,0} % PANTONE 388 +% \definecolor{Yellow}{cmyk}{0,0,1.,0} % PANTONE YELLOW +% \definecolor{Goldenrod}{cmyk}{0,0.10,0.84,0} % PANTONE 109 +% \definecolor{Dandelion}{cmyk}{0,0.29,0.84,0} % PANTONE 123 +% \definecolor{Apricot}{cmyk}{0,0.32,0.52,0} % PANTONE 1565 +% \definecolor{Peach}{cmyk}{0,0.50,0.70,0} % PANTONE 164 +% \definecolor{Melon}{cmyk}{0,0.46,0.50,0} % PANTONE 177 +% \definecolor{YellowOrange}{cmyk}{0,0.42,1.,0} % PANTONE 130 +% \definecolor{Orange}{cmyk}{0,0.61,0.87,0} % PANTONE ORANGE-021 +% \definecolor{BurntOrange}{cmyk}{0,0.51,1.,0} % PANTONE 388 +% \definecolor{Bittersweet}{cmyk}{0,0.75,1.,0.24} % PANTONE 167 +% \definecolor{RedOrange}{cmyk}{0,0.77,0.87,0} % PANTONE 179 +% \definecolor{Mahogany}{cmyk}{0,0.85,0.87,0.35} % PANTONE 484 +% \definecolor{Maroon}{cmyk}{0,0.87,0.68,0.32} % PANTONE 201 +% \definecolor{BrickRed}{cmyk}{0,0.89,0.94,0.28} % PANTONE 1805 +% \definecolor{Red}{cmyk}{0,1.,1.,0} % PANTONE RED +% \definecolor{OrangeRed}{cmyk}{0,1.,0.50,0} % No PANTONE,match +% \definecolor{RubineRed}{cmyk}{0,1.,0.13,0} % PANTONE RUBINE-RED +% \definecolor{WildStrawberry}{cmyk}{0,0.96,0.39,0} % PANTONE 206 +% \definecolor{Salmon}{cmyk}{0,0.53,0.38,0} % PANTONE 183 +% \definecolor{CarnationPink}{cmyk}{0,0.63,0,0} % PANTONE 218 +% \definecolor{Magenta}{cmyk}{0,1.,0,0} % PANTONE PROCESS-MAGENTA +% \definecolor{VioletRed}{cmyk}{0,0.81,0,0} % PANTONE 219 +% \definecolor{Rhodamine}{cmyk}{0,0.82,0,0} % PANTONE RHODAMINE-RED +% \definecolor{Mulberry}{cmyk}{0.34,0.90,0,0.02} % PANTONE 241 +% \definecolor{RedViolet}{cmyk}{0.07,0.90,0,0.34} % PANTONE 234 +% \definecolor{Fuchsia}{cmyk}{0.47,0.91,0,0.08} % PANTONE 248 +% \definecolor{Lavender}{cmyk}{0,0.48,0,0} % PANTONE 223 +% \definecolor{Thistle}{cmyk}{0.12,0.59,0,0} % PANTONE 245 +% \definecolor{Orchid}{cmyk}{0.32,0.64,0,0} % PANTONE 252 +% \definecolor{DarkOrchid}{cmyk}{0.40,0.80,0.20,0} % No PANTONE match +% \definecolor{Purple}{cmyk}{0.45,0.86,0,0} % PANTONE PURPLE +% \definecolor{Plum}{cmyk}{0.50,1.,0,0} % PANTONE 518 +% \definecolor{Violet}{cmyk}{0.79,0.88,0,0} % PANTONE VIOLET +% \definecolor{RoyalPurple}{cmyk}{0.75,0.90,0,0} % PANTONE 267 +% \definecolor{BlueViolet}{cmyk}{0.86,0.91,0,0.04} % PANTONE 2755 +% \definecolor{Periwinkle}{cmyk}{0.57,0.55,0,0} % PANTONE 2715 +% \definecolor{CadetBlue}{cmyk}{0.62,0.57,0.23,0} % PANTONE (534+535) +% \definecolor{CornflowerBlue}{cmyk}{0.65,0.13,0,0} % PANTONE 292 +% \definecolor{MidnightBlue}{cmyk}{0.98,0.13,0,0.43} % PANTONE 302 +% \definecolor{NavyBlue}{cmyk}{0.94,0.54,0,0} % PANTONE 293 +% \definecolor{RoyalBlue}{cmyk}{1.,0.50,0,0} % No PANTONE match +% \definecolor{Blue}{cmyk}{1.,1.,0,0} % PANTONE BLUE-072 +% \definecolor{Cerulean}{cmyk}{0.94,0.11,0,0} % PANTONE 3005 +% \definecolor{Cyan}{cmyk}{1.,0,0,0} % PANTONE PROCESS-CYAN +% \definecolor{ProcessBlue}{cmyk}{0.96,0,0,0} % PANTONE PROCESS-BLUE +% \definecolor{SkyBlue}{cmyk}{0.62,0,0.12,0} % PANTONE 2985 +% \definecolor{Turquoise}{cmyk}{0.85,0,0.20,0} % PANTONE (312+313) +% \definecolor{TealBlue}{cmyk}{0.86,0,0.34,0.02} % PANTONE 3145 +% \definecolor{Aquamarine}{cmyk}{0.82,0,0.30,0} % PANTONE 3135 +% \definecolor{BlueGreen}{cmyk}{0.85,0,0.33,0} % PANTONE 320 +% \definecolor{Emerald}{cmyk}{1.,0,0.50,0} % No PANTONE match +% \definecolor{JungleGreen}{cmyk}{0.99,0,0.52,0} % PANTONE 328 +% \definecolor{SeaGreen}{cmyk}{0.69,0,0.50,0} % PANTONE 3268 +% \definecolor{Green}{cmyk}{1.,0,1.,0} % PANTONE GREEN +% \definecolor{ForestGreen}{cmyk}{0.91,0,0.88,0.12} % PANTONE 349 +% \definecolor{PineGreen}{cmyk}{0.92,0,0.59,0.25} % PANTONE 323 +% \definecolor{LimeGreen}{cmyk}{0.50,0,1.,0} % No PANTONE match +% \definecolor{YellowGreen}{cmyk}{0.44,0,0.74,0} % PANTONE 375 +% \definecolor{SpringGreen}{cmyk}{0.26,0,0.76,0} % PANTONE 381 +% \definecolor{OliveGreen}{cmyk}{0.64,0,0.95,0.40} % PANTONE 582 +% \definecolor{RawSienna}{cmyk}{0,0.72,1.,0.45} % PANTONE 154 +% \definecolor{Sepia}{cmyk}{0,0.83,1.,0.70} % PANTONE 161 +% \definecolor{Brown}{cmyk}{0,0.81,1.,0.60} % PANTONE 1615 +% \definecolor{Tan}{cmyk}{0.14,0.42,0.56,0} % No PANTONE match +% \definecolor{Gray}{cmyk}{0,0,0,0.50} % PANTONE COOL-GRAY-8 +\definecolor{DarkGray}{cmyk}{0,0,0,0.80} % PANTONE COOL-GRAY-8 +% \definecolor{Black}{cmyk}{0,0,0,1.} % PANTONE PROCESS-BLACK +% \definecolor{White}{cmyk}{0,0,0,0} % No PANTONE match + +% ajout des couleurs Femto +\definecolor{BleuFemtoTitre}{cmyk}{0.94,0.83,0,0.01} +\definecolor{BleuFemtoTexte}{cmyk}{0.92,0.54,0.05,0.09} +\definecolor{BleuFemto}{RGB}{39,84,148} +\definecolor{BleuClairFemto}{RGB}{66,153,214} +\definecolor{VertFemto}{RGB}{175,203,81} +\definecolor{GrisClairFemto}{RGB}{177,179,180} +\definecolor{GrisFemto}{RGB}{112,127,135} + +\usetheme{default} + +\setbeamertemplate{navigation symbols}{} + 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\__,_|\__, |\___| +% |_| |_| |___/ + +%\pgfdeclareimage[height=\paperheight,width=\paperwidth]{pagefemto}{PageFemto.png} + +\setbeamertemplate{frametitle}{\vspace{6mm}\hspace{-5mm}\Large\bf\textcolor{BleuFemto} \insertframetitle} + +% pour les block +\definecolor{fondFemtotableau}{rgb}{1,0.71,0.754} +\setbeamertemplate{blocks}[rounded] +\setbeamercolor{block title}{fg=BleuClairFemto!60,bg=BleuFemto} +\setbeamercolor{block body}{bg=GrisClairFemto!40,fg=GrisFemto!50!black} +\setbeamerfont{block title}{series=\bfseries} +\setbeamercolor{title in head/foot}{fg=gray} +\newenvironment{femtoBlock}[1]{% + \textcolor{BleuFemto}{\normalsize\textbf{#1}}\normalsize} + +\setbeamertemplate{footline} +{% + \leavevmode% + \vspace{-2mm}% + \hbox{\begin{beamercolorbox}[wd=.85\paperwidth,ht=2.5ex,dp=-2.5ex,leftskip=.3cm plus1fill,rightskip=.3cm]{author in head/foot}% + \usebeamerfont{author in head/foot} \hfill \textcolor{GrisFemto}{\insertshortinstitute} + \end{beamercolorbox}% + 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+ hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% 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def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def 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grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec 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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 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redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + 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hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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+/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def 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bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath 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def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def 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setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + 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stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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--git a/thesis-presentation/c1/file3-eps-converted-to.pdf b/thesis-presentation/c1/file3-eps-converted-to.pdf new file mode 100644 index 0000000..47171c0 Binary files /dev/null and b/thesis-presentation/c1/file3-eps-converted-to.pdf differ diff --git a/thesis-presentation/c1/file3.eps b/thesis-presentation/c1/file3.eps new file mode 100755 index 0000000..966085d --- /dev/null +++ b/thesis-presentation/c1/file3.eps @@ -0,0 +1,662 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: file3.eps +%%Creator: gnuplot 4.6 patchlevel 0 +%%CreationDate: Tue May 27 14:48:00 2014 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 320 239 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox 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+/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash 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setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc 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setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 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def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB 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grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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--git a/thesis-presentation/c1/ft.eps b/thesis-presentation/c1/ft.eps new file mode 100644 index 0000000..478acd2 --- /dev/null +++ b/thesis-presentation/c1/ft.eps @@ -0,0 +1,692 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: ft.eps +%%Creator: gnuplot 4.6 patchlevel 0 +%%CreationDate: Mon Mar 24 16:08:18 2014 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 320 239 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -46 def +/dl1 { + 10.0 Dashlength mul mul + Rounded { 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+/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW 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/TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +% +% 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--git a/thesis-presentation/c1/heter.pdf b/thesis-presentation/c1/heter.pdf new file mode 100644 index 0000000..0d294f3 Binary files /dev/null and b/thesis-presentation/c1/heter.pdf differ diff --git a/thesis-presentation/c1/homo.pdf b/thesis-presentation/c1/homo.pdf new file mode 100644 index 0000000..5316d80 Binary files /dev/null and b/thesis-presentation/c1/homo.pdf differ diff --git a/thesis-presentation/c1/lu.eps b/thesis-presentation/c1/lu.eps new file mode 100644 index 0000000..c8bdf67 --- /dev/null +++ b/thesis-presentation/c1/lu.eps @@ -0,0 +1,692 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: lu.eps +%%Creator: gnuplot 4.6 patchlevel 0 +%%CreationDate: Mon Mar 24 16:08:27 2014 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 320 239 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -46 def +/dl1 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul sub dup 0 le { pop 0.01 } if } if +} def +/dl2 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul add } if +} def +/hpt_ 31.5 def +/vpt_ 31.5 def +/hpt hpt_ def +/vpt vpt_ def +/doclip { + ClipToBoundingBox { + newpath 50 50 moveto 320 50 lineto 320 239 lineto 50 239 lineto closepath + clip + } if +} def +% +% Gnuplot Prolog Version 4.4 (August 2010) +% +%/SuppressPDFMark true def +% +/M {moveto} bind def +/L {lineto} bind def +/R {rmoveto} bind def +/V {rlineto} bind def +/N {newpath moveto} bind def +/Z {closepath} bind def +/C {setrgbcolor} bind def +/f {rlineto fill} bind def +/g {setgray} bind def +/Gshow {show} def % May be redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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V +0 3163 V +-4461 0 V +Z stroke +LCb setrgbcolor +112 2029 M +currentpoint gsave translate -270 rotate 0 0 M +(Normalized energy and performance inv.) Cshow +grestore +LTb +LCb setrgbcolor +2916 98 M +(Frequency scaling factors) Cshow +LTb +1.000 UP +1578 589 M +(Optimal scaling factor=1.47) Lshow +864 3470 M +(LU Class C) Lshow +1.000 UL +LT1 +1493 587 M +32 -121 V +32 121 V +-32 1578 R +0 -1699 V +stroke +gsave [] 0 setdash +1493 587 M +32 -121 V +32 121 V +stroke +grestore +1.000 UL +LTb +% Begin plot #1 +1.000 UL +LT0 +0.00 0.00 1.00 C LCb setrgbcolor +4496 3478 M +(Normalized performance inv.) 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--git a/thesis-presentation/c1/lu_pre.eps b/thesis-presentation/c1/lu_pre.eps new file mode 100644 index 0000000..fcd8b42 --- /dev/null +++ b/thesis-presentation/c1/lu_pre.eps @@ -0,0 +1,670 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: lu_pre.eps +%%Creator: gnuplot 4.6 patchlevel 0 +%%CreationDate: Thu May 15 12:23:20 2014 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 320 239 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -46 def +/dl1 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul sub dup 0 le { pop 0.01 } if } if +} def +/dl2 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul add } if +} def +/hpt_ 31.5 def +/vpt_ 31.5 def +/hpt hpt_ def +/vpt vpt_ def +/doclip { + ClipToBoundingBox { + newpath 50 50 moveto 320 50 lineto 320 239 lineto 50 239 lineto closepath + clip + } if +} def +% +% Gnuplot Prolog Version 4.4 (August 2010) +% +%/SuppressPDFMark true def +% +/M {moveto} bind def +/L {lineto} bind def +/R {rmoveto} bind def +/V {rlineto} bind def +/N {newpath moveto} bind def +/Z {closepath} bind def +/C {setrgbcolor} bind def +/f {rlineto fill} bind def +/g {setgray} bind def +/Gshow {show} def % May be redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h 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/TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke 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exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title (mg_pre.eps) + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 0) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Mon Mar 24 15:34:36 2014) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.050 0.050 scale +0 setgray +newpath +(Helvetica) findfont 140 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {BackgroundColor C 1.000 0 0 5400.00 3780.00 BoxColFill} if +1.000 UL +LTb +686 448 M +63 0 V +4398 0 R +-63 0 V +602 448 M +( 1) Rshow +1.000 UL +LTb +686 935 M +63 0 V +4398 0 R +-63 0 V +602 935 M +( 1.2) Rshow +1.000 UL +LTb +686 1421 M +63 0 V +4398 0 R +-63 0 V +-4482 0 R +( 1.4) Rshow +1.000 UL +LTb +686 1908 M +63 0 V +4398 0 R +-63 0 V +-4482 0 R +( 1.6) Rshow +1.000 UL +LTb +686 2394 M +63 0 V +4398 0 R +-63 0 V +-4482 0 R +( 1.8) Rshow +1.000 UL +LTb +686 2881 M +63 0 V +4398 0 R +-63 0 V +-4482 0 R +( 2) Rshow +1.000 UL +LTb +686 3368 M +63 0 V +4398 0 R +-63 0 V +-4482 0 R +( 2.2) Rshow +1.000 UL +LTb +686 448 M +0 63 V +0 3100 R +0 -63 V +686 308 M +( 1) Cshow +1.000 UL +LTb +1578 448 M +0 63 V +0 3100 R +0 -63 V +0 -3240 R +( 1.5) Cshow +1.000 UL +LTb +2470 448 M +0 63 V +0 3100 R +0 -63 V +0 -3240 R +( 2) Cshow +1.000 UL +LTb +3363 448 M +0 63 V +0 3100 R +0 -63 V +0 -3240 R +( 2.5) Cshow +1.000 UL +LTb +4255 448 M +0 63 V +0 3100 R +0 -63 V +0 -3240 R +( 3) Cshow +1.000 UL +LTb +5147 448 M +0 63 V +0 3100 R +0 -63 V +0 -3240 R +( 3.5) Cshow +1.000 UL +LTb +1.000 UL +LTb +686 3611 N +686 448 L +4461 0 V +0 3163 V +-4461 0 V +Z stroke +LCb setrgbcolor +112 2029 M +currentpoint gsave translate -270 rotate 0 0 M +(Normalized time) Cshow +grestore +LTb +LCb setrgbcolor +2916 98 M +(Frequency scaling factors) Cshow +LTb +1.000 UP +864 3368 M +(MG Class B) Lshow +1.000 UL +LTb +% Begin plot #1 +1.000 UL +LT0 +0.00 0.00 1.00 C LCb setrgbcolor +4496 3478 M +(Normalized predicted perf.) Rshow +LT0 +0.00 0.00 1.00 C 4580 3478 M +399 0 V +686 448 M +74 50 V +81 53 V +88 60 V +97 62 V +106 76 V +117 79 V +131 79 V +146 93 V +164 119 V +186 125 V +212 155 V +245 157 V +286 193 V +338 221 V +406 244 V +495 325 V +620 391 V +% End plot #1 +% Begin plot #2 +1.000 UP +stroke +LT1 +1.00 0.00 0.00 C LCb setrgbcolor +4496 3338 M +(Normalized real perf.) Rshow +LT1 +1.00 0.00 0.00 C 686 448 BoxF +760 539 BoxF +841 590 BoxF +929 631 BoxF +1026 702 BoxF +1132 783 BoxF +1249 848 BoxF +1380 926 BoxF +1526 1041 BoxF +1690 1134 BoxF +1876 1279 BoxF +2088 1416 BoxF +2333 1581 BoxF +2619 1797 BoxF +2957 2013 BoxF +3363 2176 BoxF +3858 2516 BoxF +4478 2936 BoxF +4779 3338 BoxF +% End plot #2 +1.000 UL +LTb +686 3611 N +686 448 L +4461 0 V +0 3163 V +-4461 0 V +Z stroke +1.000 UP +1.000 UL +LTb +stroke +grestore +end +showpage +%%Trailer +%%DocumentFonts: Helvetica diff --git a/thesis-presentation/c1/mg_pre.pdf b/thesis-presentation/c1/mg_pre.pdf new file mode 100644 index 0000000..a2835b4 Binary files /dev/null and b/thesis-presentation/c1/mg_pre.pdf differ diff --git a/thesis-presentation/c1/nasa.gif b/thesis-presentation/c1/nasa.gif new file mode 100644 index 0000000..98c1e47 Binary files /dev/null and b/thesis-presentation/c1/nasa.gif differ diff --git a/thesis-presentation/c1/nasa.pdf b/thesis-presentation/c1/nasa.pdf new file mode 100644 index 0000000..55d793e Binary files /dev/null and b/thesis-presentation/c1/nasa.pdf differ diff --git a/thesis-presentation/c1/nasa.xcf b/thesis-presentation/c1/nasa.xcf new file mode 100644 index 0000000..c471ff0 Binary files /dev/null and b/thesis-presentation/c1/nasa.xcf differ diff --git a/thesis-presentation/c1/results.pdf b/thesis-presentation/c1/results.pdf new file mode 100644 index 0000000..5e94454 Binary files /dev/null and b/thesis-presentation/c1/results.pdf differ diff --git a/thesis-presentation/c1/sp.eps b/thesis-presentation/c1/sp.eps new file mode 100644 index 0000000..c48350a --- /dev/null +++ b/thesis-presentation/c1/sp.eps @@ -0,0 +1,692 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: sp.eps +%%Creator: gnuplot 4.6 patchlevel 0 +%%CreationDate: Mon Mar 24 16:08:33 2014 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 320 239 +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -46 def +/dl1 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul sub dup 0 le { pop 0.01 } if } if +} def +/dl2 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul add } if +} def +/hpt_ 31.5 def +/vpt_ 31.5 def +/hpt hpt_ def +/vpt vpt_ def +/doclip { + ClipToBoundingBox { + newpath 50 50 moveto 320 50 lineto 320 239 lineto 50 239 lineto closepath + clip + } if +} def +% +% Gnuplot Prolog Version 4.4 (August 2010) +% +%/SuppressPDFMark true def +% +/M {moveto} bind def +/L {lineto} bind def +/R {rmoveto} bind def +/V {rlineto} bind def +/N {newpath moveto} bind def +/Z {closepath} bind def +/C {setrgbcolor} bind def +/f {rlineto fill} bind def +/g {setgray} bind def +/Gshow {show} def % May be redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 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--git a/thesis-presentation/c1/synch_tasks.pdf b/thesis-presentation/c1/synch_tasks.pdf new file mode 100644 index 0000000..b373d3c Binary files /dev/null and b/thesis-presentation/c1/synch_tasks.pdf differ diff --git a/thesis-presentation/c2/Makefile b/thesis-presentation/c2/Makefile new file mode 100644 index 0000000..f8cbf58 --- /dev/null +++ b/thesis-presentation/c2/Makefile @@ -0,0 +1,12 @@ +EPS = $(wildcard *.eps) +PDF = $(EPS:%.eps=%.pdf) + +.PHONY: all clean + +all: $(PDF) + +clean: + $(RM) $(PDF) + +%.pdf: %.eps + epstopdf $< diff --git a/thesis-presentation/c2/avg_compare.pdf b/thesis-presentation/c2/avg_compare.pdf new file mode 100644 index 0000000..61dc46e Binary files /dev/null and b/thesis-presentation/c2/avg_compare.pdf differ diff --git a/thesis-presentation/c2/commtasks.pdf b/thesis-presentation/c2/commtasks.pdf new file mode 100644 index 0000000..0e39a6d Binary files /dev/null and b/thesis-presentation/c2/commtasks.pdf differ diff --git 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dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 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copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL 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3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +% +% Encoding for ISO-8859-1 (also called Latin1) +% +/reencodeISO { +dup dup findfont dup length dict begin +{ 1 index /FID ne { def }{ pop pop } ifelse } forall +currentdict /CharStrings known { + CharStrings /Idieresis known { + /Encoding ISOLatin1Encoding def } if +} if +currentdict end definefont +} def +/ISOLatin1Encoding [ +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright +/parenleft/parenright/asterisk/plus/comma/minus/period/slash +/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon +/less/equal/greater/question/at/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/bracketleft/backslash/bracketright +/asciicircum/underscore/quoteleft/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/braceleft/bar/braceright/asciitilde +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve +/dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut +/ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar +/section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot +/hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior +/acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine +/guillemotright/onequarter/onehalf/threequarters/questiondown +/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla +/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex +/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis +/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute +/Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis +/aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave +/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex +/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis +/yacute/thorn/ydieresis +] def +/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 +/Helvetica reencodeISO def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title () + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 6) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Thu Oct 22 12:40:02 2015) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 110 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {gsave BackgroundColor C clippath fill grestore} if +1.000 UL +LTb +473 352 M +63 0 V +4305 0 R +-63 0 V +stroke +407 352 M +[ [(Helvetica) 150.0 0.0 true true 0 ( 0)] +] -50.0 MRshow +1.000 UL +LTb +473 421 M +31 0 V +4337 0 R +-31 0 V +473 490 M +31 0 V +4337 0 R +-31 0 V +473 560 M +31 0 V +4337 0 R +-31 0 V +473 629 M +31 0 V +4337 0 R +-31 0 V +473 698 M +63 0 V +4305 0 R +-63 0 V +stroke +407 698 M +[ [(Helvetica) 150.0 0.0 true true 0 ( 5)] 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stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + gsave 1 setgray fill grestore clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add 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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} 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+1.000 UL +LTb +stroke +grestore +end +showpage diff --git a/thesis-presentation/c2/per_d-eps-converted-to.pdf b/thesis-presentation/c2/per_d-eps-converted-to.pdf new file mode 100644 index 0000000..c1dc947 Binary files /dev/null and b/thesis-presentation/c2/per_d-eps-converted-to.pdf differ diff --git a/thesis-presentation/c2/per_d.eps b/thesis-presentation/c2/per_d.eps new file mode 100644 index 0000000..8fb93bb --- /dev/null +++ b/thesis-presentation/c2/per_d.eps @@ -0,0 +1,897 @@ +%!PS-Adobe-2.0 +%%Creator: gnuplot 4.6 patchlevel 6 +%%CreationDate: Thu Oct 22 12:39:50 2015 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 554 410 +%%Orientation: Portrait +%%Pages: (atend) +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color false def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape false def +/Level1 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -36 def +/dl1 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul sub dup 0 le { pop 0.01 } if } if +} def +/dl2 { + 10.0 Dashlength mul mul + Rounded { currentlinewidth 0.75 mul add } if +} def +/hpt_ 31.5 def +/vpt_ 31.5 def +/hpt hpt_ def +/vpt vpt_ def +/doclip { + ClipToBoundingBox { + newpath 50 50 moveto 554 50 lineto 554 410 lineto 50 410 lineto closepath + clip + } if +} def +% +% Gnuplot Prolog Version 4.6 (September 2012) +% +%/SuppressPDFMark true def +% +/M {moveto} bind def +/L {lineto} bind def +/R {rmoveto} bind def +/V {rlineto} bind def +/N {newpath moveto} bind def +/Z {closepath} bind def +/C {setrgbcolor} bind def +/f {rlineto fill} bind def +/g {setgray} bind def +/Gshow {show} def % May be redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray show grestore} {show} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 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closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy 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sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke 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Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Default Line colors +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default Line Types +/LTw {PL [] 1 setgray} def +/LTb {BL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [4 dl1 2 dl2] LC1 DL} def +/LT2 {PL [2 dl1 3 dl2] LC2 DL} def +/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def +/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def +/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def +/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +% +% Encoding for ISO-8859-1 (also called Latin1) +% +/reencodeISO { +dup dup findfont dup length dict begin +{ 1 index /FID ne { def }{ pop pop } ifelse } forall +currentdict /CharStrings known { + CharStrings /Idieresis known { + /Encoding ISOLatin1Encoding def } if +} if +currentdict end definefont +} def +/ISOLatin1Encoding [ +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright +/parenleft/parenright/asterisk/plus/comma/minus/period/slash +/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon +/less/equal/greater/question/at/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/bracketleft/backslash/bracketright +/asciicircum/underscore/quoteleft/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/braceleft/bar/braceright/asciitilde +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve +/dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut +/ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar +/section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot +/hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior +/acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine +/guillemotright/onequarter/onehalf/threequarters/questiondown +/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla +/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex +/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis +/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute +/Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis +/aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave +/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex +/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis +/yacute/thorn/ydieresis +] def +/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 +/Helvetica reencodeISO def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title () + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 6) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Tue Jun 14 18:03:55 2016) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 110 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {gsave BackgroundColor C clippath fill grestore} if +1.000 UL +LTb +473 352 M +63 0 V +4305 0 R +-63 0 V +stroke +407 352 M +[ [(Helvetica) 150.0 0.0 true true 0 ( 0)] +] -50.0 MRshow +1.000 UL +LTb +473 449 M +31 0 V +4337 0 R +-31 0 V +473 547 M +31 0 V +4337 0 R +-31 0 V +473 644 M +31 0 V +4337 0 R +-31 0 V +473 742 M +31 0 V +4337 0 R +-31 0 V +473 839 M +63 0 V +4305 0 R 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45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +% +% Encoding for ISO-8859-1 (also called Latin1) +% +/reencodeISO { +dup dup findfont dup length dict begin +{ 1 index /FID ne { def }{ pop pop } ifelse } forall +currentdict /CharStrings known { + CharStrings /Idieresis known { + /Encoding ISOLatin1Encoding def } if +} if +currentdict end definefont +} def +/ISOLatin1Encoding [ +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright +/parenleft/parenright/asterisk/plus/comma/minus/period/slash +/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon +/less/equal/greater/question/at/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/bracketleft/backslash/bracketright +/asciicircum/underscore/quoteleft/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/braceleft/bar/braceright/asciitilde +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve +/dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut +/ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar +/section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot +/hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior +/acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine +/guillemotright/onequarter/onehalf/threequarters/questiondown +/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla +/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex +/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis +/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute +/Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis +/aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave +/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex +/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis +/yacute/thorn/ydieresis +] def +/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 +/Helvetica reencodeISO def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title () + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 6) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Tue Mar 1 10:05:56 2016) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 110 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {gsave BackgroundColor C clippath fill grestore} if 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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 +% +% Encoding for ISO-8859-1 (also called Latin1) +% +/reencodeISO { +dup dup findfont dup length dict begin +{ 1 index /FID ne { def }{ pop pop } ifelse } forall +currentdict /CharStrings known { + CharStrings /Idieresis known { + /Encoding ISOLatin1Encoding def } if +} if +currentdict end definefont +} def +/ISOLatin1Encoding [ +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright +/parenleft/parenright/asterisk/plus/comma/minus/period/slash +/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon +/less/equal/greater/question/at/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/bracketleft/backslash/bracketright +/asciicircum/underscore/quoteleft/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/braceleft/bar/braceright/asciitilde +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve +/dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut +/ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar +/section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot +/hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior +/acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine +/guillemotright/onequarter/onehalf/threequarters/questiondown +/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla +/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex +/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis +/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute +/Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis +/aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave +/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex +/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis +/yacute/thorn/ydieresis +] def +/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 +/Helvetica reencodeISO def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title () + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 6) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Tue Nov 10 14:41:08 2015) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 110 scalefont setfont +BackgroundColor 0 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neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse + 2 lt + {/InterpretLevel1 true def} + {/InterpretLevel1 Level1 def} + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> 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 +% +% Encoding for ISO-8859-1 (also called Latin1) +% +/reencodeISO { +dup dup findfont dup length dict begin +{ 1 index /FID ne { def }{ pop pop } ifelse } forall +currentdict /CharStrings known { + CharStrings /Idieresis known { + /Encoding ISOLatin1Encoding def } if +} if +currentdict end definefont +} def +/ISOLatin1Encoding [ +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/space/exclam/quotedbl/numbersign/dollar/percent/ampersand/quoteright +/parenleft/parenright/asterisk/plus/comma/minus/period/slash +/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon +/less/equal/greater/question/at/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/bracketleft/backslash/bracketright +/asciicircum/underscore/quoteleft/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/braceleft/bar/braceright/asciitilde +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef +/.notdef/dotlessi/grave/acute/circumflex/tilde/macron/breve +/dotaccent/dieresis/.notdef/ring/cedilla/.notdef/hungarumlaut +/ogonek/caron/space/exclamdown/cent/sterling/currency/yen/brokenbar +/section/dieresis/copyright/ordfeminine/guillemotleft/logicalnot +/hyphen/registered/macron/degree/plusminus/twosuperior/threesuperior +/acute/mu/paragraph/periodcentered/cedilla/onesuperior/ordmasculine +/guillemotright/onequarter/onehalf/threequarters/questiondown +/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla +/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex +/Idieresis/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis +/multiply/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute +/Thorn/germandbls/agrave/aacute/acircumflex/atilde/adieresis +/aring/ae/ccedilla/egrave/eacute/ecircumflex/edieresis/igrave +/iacute/icircumflex/idieresis/eth/ntilde/ograve/oacute/ocircumflex +/otilde/odieresis/divide/oslash/ugrave/uacute/ucircumflex/udieresis +/yacute/thorn/ydieresis +] def +/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 +/Helvetica reencodeISO def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title () + /Subject (gnuplot plot) + /Creator (gnuplot 4.6 patchlevel 6) + /Author (afanfakh) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Wed Feb 10 11:04:24 2016) + /DOCINFO pdfmark +end +} ifelse +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +0 setgray +newpath +(Helvetica) findfont 110 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {gsave BackgroundColor C clippath fill grestore} if +1.000 UL +LTb +539 879 M +63 0 V +4239 0 R +-63 0 V +stroke +473 879 M +[ [(Helvetica) 150.0 0.0 true true 0 (-25)] +] -50.0 MRshow +1.000 UL +LTb +539 926 M +31 0 V +4271 0 R +-31 0 V +539 973 M +31 0 V +4271 0 R +-31 0 V +539 1020 M +31 0 V +4271 0 R +-31 0 V +539 1067 M +31 0 V +4271 0 R +-31 0 V +539 1114 M +63 0 V +4239 0 R +-63 0 V +stroke +473 1114 M +[ [(Helvetica) 150.0 0.0 true true 0 (-20)] +] -50.0 MRshow +1.000 UL +LTb +539 1161 M +31 0 V +4271 0 R +-31 0 V +539 1209 M +31 0 V +4271 0 R +-31 0 V +539 1256 M +31 0 V +4271 0 R +-31 0 V +539 1303 M +31 0 V +4271 0 R +-31 0 V +539 1350 M +63 0 V +4239 0 R +-63 0 V +stroke +473 1350 M +[ [(Helvetica) 150.0 0.0 true true 0 (-15)] +] -50.0 MRshow +1.000 UL +LTb +539 1397 M +31 0 V +4271 0 R +-31 0 V +539 1444 M +31 0 V +4271 0 R +-31 0 V +539 1491 M +31 0 V +4271 0 R +-31 0 V +539 1538 M +31 0 V +4271 0 R +-31 0 V +539 1585 M +63 0 V +4239 0 R +-63 0 V +stroke +473 1585 M +[ [(Helvetica) 150.0 0.0 true true 0 (-10)] +] -50.0 MRshow +1.000 UL +LTb +539 1632 M +31 0 V +4271 0 R 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45 rotate 0 0 moveto +[ [(Helvetica) 150.0 0.0 true true 0 (Grid.8*8.400)] +] -50.0 MRshow +grestore +1.000 UL +LTb +2929 879 M +0 63 V +0 2526 R +0 -63 V +stroke +2929 813 M +currentpoint gsave translate 45 rotate 0 0 moveto +[ [(Helvetica) 150.0 0.0 true true 0 (Grid.4*4.500)] +] -50.0 MRshow +grestore +1.000 UL +LTb +3407 879 M +0 63 V +0 2526 R +0 -63 V +stroke +3407 813 M +currentpoint gsave translate 45 rotate 0 0 moveto +[ [(Helvetica) 150.0 0.0 true true 0 (Grid.4*8.500)] +] -50.0 MRshow +grestore +1.000 UL +LTb +3885 879 M +0 63 V +0 2526 R +0 -63 V +stroke +3885 813 M +currentpoint gsave translate 45 rotate 0 0 moveto +[ [(Helvetica) 150.0 0.0 true true 0 (Grid.8*4.500)] +] -50.0 MRshow +grestore +1.000 UL +LTb +4363 879 M +0 63 V +0 2526 R +0 -63 V +stroke +4363 813 M +currentpoint gsave translate 45 rotate 0 0 moveto +[ [(Helvetica) 150.0 0.0 true true 0 (Grid.8*8.500)] +] -50.0 MRshow +grestore +1.000 UL +LTb +1.000 UL +LTb +539 3468 N +539 879 L +4302 0 V +0 2589 V +-4302 0 V +Z stroke +LCb setrgbcolor +88 2173 M +currentpoint gsave translate -270 rotate 0 0 moveto +[ [(Helvetica) 180.0 0.0 true true 0 (Performance degradation %)] +] -60.0 MCshow +grestore +LTb +LCb setrgbcolor +2690 77 M +[ [(Helvetica) 180.0 0.0 true true 0 (Platform scenarios)] +] -60.0 MCshow +LTb +1.000 UP +1.000 UL +LT1 +539 2056 M +4302 0 V +stroke +LTb +% Begin plot #1 +1.000 UL +LT0 +0.10 0.10 0.44 C LCb setrgbcolor +2231 3308 M +[ [(Helvetica) 120.0 0.0 true true 0 (Sync MS with Sync DVFS )] +] -40.0 MRshow +LT0 +0.10 0.10 0.44 C 2297 3275 327 66 40 45 2 PatternFill +LCa setrgbcolor +2297 3275 N +327 0 V +0 66 V +-327 0 V +0 -66 V +Z stroke +LT0 +0.10 0.10 0.44 C 0.10 0.10 0.44 C 880 2056 70 1 40 45 2 PatternFill +LCa setrgbcolor +880 2056 N +69 0 V +-69 0 V +Z stroke +LT0 +0.10 0.10 0.44 C 0.10 0.10 0.44 C 1358 2056 70 64 40 45 2 PatternFill +LCa setrgbcolor +1358 2056 N +0 63 V +69 0 V +0 -63 V +-69 0 V +Z stroke +LT0 +0.10 0.10 0.44 C 0.10 0.10 0.44 C 1836 2056 70 489 40 45 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file mode 100644 index 0000000..7b3d218 --- /dev/null +++ b/thesis-presentation/dvfs-heter/mcp.sh @@ -0,0 +1,23 @@ +#!/bin/bash + +#for f in {9..11}; do cp aa/a-3.png a-$f.png; done +#for f in {$i..$j}; do cp ${file} a-$f.png; done + i=0 + j=20 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 21)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/dvfs-heter/org.svg b/thesis-presentation/dvfs-heter/org.svg new file mode 100644 index 0000000..bbcc1ca --- /dev/null +++ b/thesis-presentation/dvfs-heter/org.svg @@ -0,0 +1,2463 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + Switch + + + + + + + + + + + + jmghjyjhytyt + + + + + + 2.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + + 2.3 + + + 2.4 + + + + + + + + 2.66 + + + + 1.33 + + + + 1.46 + + + + 1.59 + + + + 1.72 + + + + 1.86 + + + + 1.99 + + + + 2.13 + + + + 2.26 + + + + 2.39 + + + 2.52 + + + 1.19 + + + + + + + + + 2.9 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + + 2.3 + + + + 2.4 + + + + 2.5 + + + + 2.6 + + + + 2.7 + + + 2.8 + + + 1.8 + + + + 1.7 + + + + 1.6 + + + + 1.5 + + + + 1.4 + + + + 1.3 + + + + 1.2 + + + + + + + + + 3.4 + + + + 2.07 + + + + 2.20 + + + + 2.33 + + + + 2.46 + + + + 2.60 + + + + 2.73 + + + + 2.86 + + + + 3.00 + + + + 3.13 + + + 3.26 + + + 1.93 + + + + 1.80 + + + + 1.67 + + + + 1.53 + + + Heterogeneous cluster + Computing the initial frequencies Step1 + + + + + + + + + + + + + + Step2Determining the slowest node Slowest node It keeps the frequency of slowest node without change + + + + + + The scaling algorithm selectsthe best frequencies vector + 2.5, 2.26, 2.3, 2.33 + + Predicted energy + + + + + + + + + + + + + + + + + + Energysaving% 43.4% Predictedperformance + + + + + + + + + + + + + + + + + + + + + PerformaceDegradation%% + Trade-off % 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+++ b/thesis-presentation/dvfs-homo/org.svg @@ -0,0 +1,2527 @@ + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + Switch + + + + + + + + + + + + jmghjyjhytyt + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + The scaling algorithmfor homogenous clusters + Best frequency= 2.4 + + + + + Predicted energy + Predictedperformance + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Energysaving% PerformaceDegradation%% + Trade-off % 0.0% 0.0% 0.0% + Homogeneous cluster + diff --git a/thesis-presentation/dvfs-homo/org.svg.2016_08_17_15_11_54.0.svg b/thesis-presentation/dvfs-homo/org.svg.2016_08_17_15_11_54.0.svg new file mode 100644 index 0000000..ebfa72a --- /dev/null +++ b/thesis-presentation/dvfs-homo/org.svg.2016_08_17_15_11_54.0.svg @@ -0,0 +1,2522 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + Switch + + + + + + + + + + + + + + jmghjyjhytyt Predicted energy + Predictedperformance + + + + + + + + + + + + + + + + + + + + + + The scaling algorithmfor homogenous clusters + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + 2.4 + + + + 1.4 + + + + 1.5 + + + + 1.6 + + + + 1.7 + + + + 1.8 + + + + 1.9 + + + + 2.0 + + + + 2.1 + + + + 2.2 + + + 2.3 + + + 1.3 + + + + 1.2 + + + + + + + + + + + + + + + + + + + + + + + + + + Energysaving% PerformaceDegradation%% + Trade-off + + Best frequency= 2.4 0.0% 0.0% 0.0% + diff --git a/thesis-presentation/fig/Picture11.png b/thesis-presentation/fig/Picture11.png new file mode 100644 index 0000000..1d54c75 Binary files /dev/null and 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+ i=0 + j=20 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 21)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/heter-model/org.svg b/thesis-presentation/heter-model/org.svg new file mode 100644 index 0000000..576225d --- /dev/null +++ b/thesis-presentation/heter-model/org.svg @@ -0,0 +1,1301 @@ + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + Switch + + + + + + jmghjyjhytyt + Heterogeneous cluster + + After the first iteration + + Step 1:Gathering all computation and communication times before frequency scaling + + Tcp=0.50 + Tcp=0.35 + Tcp=0.25 + Computation times in Sec + + + Tcm=0.001 + Tcm=0.210 + Tcm=0.351 + Communication and slack times in Sec + + + + Node12.5 GH + Node22.8 GH + Node33.4 GH + + - - + + + + + + + } + + = + 15.2 + 8.1 = 23.3 Joule + + + + + 20*(1.08) * 0.50+ + -2 + + + 25*(1.40) * 0.35+ + -2 + + + 30*(1.88) * 0.25 + -2 + + 4 * 0.541 + + 5 * 0.541 + 6 * 0.541 E= { + { + + } + + + + Step 2: S1=1.08, S2=1.40, S3=1.88 + Step 2:Computing frequency scaling factor Si=Fmaxi / Fnewi e.g S1=2.5/2.3 =1.08 S2=2.8/2.0 =1.40 S3=3.4/1.8 =1.88 + + + + 0.5*1.08+0.001 0.35*1.40+0.001 0.25*1.88+0.001 + 0.541 0.491 0.473 + + MAX + + + + + Step 4:Computing the enenrgy consumption of all nodes E=Sum of all dynamic Energies + Sum of all static Energies + where: Pd1 = 20W Pd2=25 Pd3=30Ps1 = 4W Ps2=5 Ps3=6 + + huuiio + + + + + Step 3:Computing the new execution time Tnew=Max ((Tcp . S )) + Min(Tcp ) =0.541 + i + i + i + + + + + + + + E= (Pd . S . 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b/thesis-presentation/homo-model/mcp.sh @@ -0,0 +1,23 @@ +#!/bin/bash + +#for f in {9..11}; do cp aa/a-3.png a-$f.png; done +#for f in {$i..$j}; do cp ${file} a-$f.png; done + i=0 + j=20 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 21)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/homo-model/org.svg b/thesis-presentation/homo-model/org.svg new file mode 100644 index 0000000..43adcb7 --- /dev/null +++ b/thesis-presentation/homo-model/org.svg @@ -0,0 +1,1075 @@ + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + Switch + + + + + + jmghjyjhytyt + Homogeneous cluster + + After the first iteration + + Step 1:Gathering all computation and communication times before frequency scaling + + Tcp=0.50 + Tcp=0.50 + Tcp=0.50 + Computation times in Sec + + + Tcm=0.0010 + Tcm=0.0015 + Tcm=0.002 + Communication times in Sec + + + + Step 2:Determining the slowest nodes + node1 + node2 + node3 + (node2) + Step 3:Determining the frequency scaling factor S for all nodes + (e.g. S=1.5) + Step 4:Computing the energy consumption of all nodes + E= Sum of dynamic Enenrgies + Sum of static Enenrgies + + - - + + + + E= (Pd . S . Tcp) + + (Ps .Tnew . number of nodes) + + + + + + + -2 + + + + + + + + + 20*(1.38) * 0.50+ + -2 + + + 20*(1.38) * 0.50+ + -2 + + + + 20*(1.38) * 0.50 + -2 + + } + + 4 * 0.6920 * 3 + + E= + = + 33 + 8.304 = 41.304 Joule + + + + Step 2: S=1.38 + Step 2:Computing frequency scaling factor S=Fmax / Fnew e.g S=2.5/1.8 =1.38 + Step 3:Computing the new execution time Tnew=max ((Tcp.S) . 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a-$f.png; done + i=0 + j=20 + echo "$i $j" +FILES="aa/*" + for file in $FILES + do + for f in $(seq $i $j) + do + cp ${file} a-$f.png + c=1 + done + #echo ${file} + i=$(($j + 1)) + j=$(($j + 21)) + #echo "$i $j" + + done + + diff --git a/thesis-presentation/syn/org.svg b/thesis-presentation/syn/org.svg new file mode 100644 index 0000000..c69ea3a --- /dev/null +++ b/thesis-presentation/syn/org.svg @@ -0,0 +1,771 @@ + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + jmghjyjhytyt + + Predicted energy + Predictedperformance + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Energysaving% PerformaceDegradation%% + Trade-off % 0.0% 0.0% 0.0% + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/thesis-presentation/syn/org.svg.2016_08_26_10_51_42.0.svg b/thesis-presentation/syn/org.svg.2016_08_26_10_51_42.0.svg new file mode 100644 index 0000000..4961a5a --- /dev/null +++ b/thesis-presentation/syn/org.svg.2016_08_26_10_51_42.0.svg @@ -0,0 +1,716 @@ + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + jmghjyjhytyt + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Long distance communication + Local cluster communication + + B: Fast cluster + A: Slow cluster + Synchronous communication + + 1 Iterations + + + + 1 Iterations + Action + + + Computing waiting forA to finish + Comuunicatingwith A + + + + + + + + + + + + Waiting timesbetween clusters Latency times between clusters + + + + + + + Total idle times + + +