From: afanfakh <afanfakh@fanfakh.afanfakh>
Date: Thu, 22 Oct 2015 13:47:30 +0000 (+0200)
Subject: adding the new template
X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/mpi-energy2.git/commitdiff_plain/c911c7db174d7bc2cd2a2893deceb956fff0e02b

adding the new template
---

diff --git a/mpi-energy2-extension/.DS_Store b/mpi-energy2-extension/.DS_Store
deleted file mode 100644
index a79a75a..0000000
Binary files a/mpi-energy2-extension/.DS_Store and /dev/null differ
diff --git a/mpi-energy2-extension/Heter_paper.tex b/mpi-energy2-extension/Heter_paper.tex
index 2e0b7f7..7969c4b 100644
--- a/mpi-energy2-extension/Heter_paper.tex
+++ b/mpi-energy2-extension/Heter_paper.tex
@@ -1,5 +1,5 @@
-\documentclass[conference]{IEEEtran}
-
+\documentclass[3p,times]{elsarticle-1}
+\usepackage{ecrc}
 \usepackage[T1]{fontenc}
 \usepackage[utf8]{inputenc}
 \usepackage[english]{babel}
@@ -60,34 +60,138 @@
 \newcommand{\Tnew}{\Xsub{T}{New}}
 \newcommand{\Told}{\Xsub{T}{Old}}
 
+
+%% The ecrc package defines commands needed for running heads and logos.
+%% For running heads, you can set the journal name, the volume, the starting page and the authors
+
+%% set the volume if you know. Otherwise `00'
+\volume{00}
+
+%% set the starting page if not 1
+\firstpage{1}
+
+%% Give the name of the journal
+\journalname{Procedia Computer Science}
+
+%% Give the author list to appear in the running head
+%% Example \runauth{C.V. Radhakrishnan et al.}
+\runauth{}
+
+%% The choice of journal logo is determined by the \jid and \jnltitlelogo commands.
+%% A user-supplied logo with the name <\jid>logo.pdf will be inserted if present.
+%% e.g. if \jid{yspmi} the system will look for a file yspmilogo.pdf
+%% Otherwise the content of \jnltitlelogo will be set between horizontal lines as a default logo
+
+%% Give the abbreviation of the Journal.
+\jid{procs}
+
+%% Give a short journal name for the dummy logo (if needed)
+\jnltitlelogo{Procedia Computer Science}
+
+%% Hereafter the template follows `elsarticle'.
+%% For more details see the existing template files elsarticle-template-harv.tex and elsarticle-template-num.tex.
+
+%% Elsevier CRC generally uses a numbered reference style
+%% For this, the conventions of elsarticle-template-num.tex should be followed (included below)
+%% If using BibTeX, use the style file elsarticle-num.bst
+
+%% End of ecrc-specific commands
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% The amssymb package provides various useful mathematical symbols
+\usepackage{amssymb}
+%% The amsthm package provides extended theorem environments
+%% \usepackage{amsthm}
+
+%% The lineno packages adds line numbers. Start line numbering with
+%% \begin{linenumbers}, end it with \end{linenumbers}. Or switch it on
+%% for the whole article with \linenumbers after \end{frontmatter}.
+%% \usepackage{lineno}
+
+%% natbib.sty is loaded by default. However, natbib options can be
+%% provided with \biboptions{...} command. Following options are
+%% valid:
+
+%%   round  -  round parentheses are used (default)
+%%   square -  square brackets are used   [option]
+%%   curly  -  curly braces are used      {option}
+%%   angle  -  angle brackets are used    <option>
+%%   semicolon  -  multiple citations separated by semi-colon
+%%   colon  - same as semicolon, an earlier confusion
+%%   comma  -  separated by comma
+%%   numbers-  selects numerical citations
+%%   super  -  numerical citations as superscripts
+%%   sort   -  sorts multiple citations according to order in ref. list
+%%   sort&compress   -  like sort, but also compresses numerical citations
+%%   compress - compresses without sorting
+%%
+%% \biboptions{comma,round}
+
+% \biboptions{}
+
+% if you have landscape tables
+\usepackage[figuresright]{rotating}
+
+% put your own definitions here:
+%   \newcommand{\cZ}{\cal{Z}}
+%   \newtheorem{def}{Definition}[section]
+%   ...
+
+% add words to TeX's hyphenation exception list
+%\hyphenation{author another created financial paper re-commend-ed Post-Script}
+
+% declarations for front matter
+
 \begin{document}
 
-\title{Energy Consumption Reduction with DVFS for \\
-  Message Passing Iterative Applications on \\
-  Heterogeneous Architectures}
-
-\author{%
-  \IEEEauthorblockN{%
-    Jean-Claude Charr,
-    Raphaël Couturier,
-    Ahmed Fanfakh and
-    Arnaud Giersch
-  }
-  \IEEEauthorblockA{%
-    FEMTO-ST Institute, University of Franche-Comté\\
+\begin{frontmatter}
+
+%% Title, authors and addresses
+
+%% use the tnoteref command within \title for footnotes;
+%% use the tnotetext command for the associated footnote;
+%% use the fnref command within \author or \address for footnotes;
+%% use the fntext command for the associated footnote;
+%% use the corref command within \author for corresponding author footnotes;
+%% use the cortext command for the associated footnote;
+%% use the ead command for the email address,
+%% and the form \ead[url] for the home page:
+%%
+%% \title{Title\tnoteref{label1}}
+%% \tnotetext[label1]{}
+%% \author{Name\corref{cor1}\fnref{label2}}
+%% \ead{email address}
+%% \ead[url]{home page}
+%% \fntext[label2]{}
+%% \cortext[cor1]{}
+%% \address{Address\fnref{label3}}
+%% \fntext[label3]{}
+
+\dochead{}
+%% Use \dochead if there is an article header, e.g. \dochead{Short communication}
+\title{Energy Consumption Reduction with DVFS for Message Passing \\
+       Iterative Applications on Grid Architecture} 
+  
+
+%% use optional labels to link authors explicitly to addresses:
+%% \author[label1,label2]{<author name>}
+%% \address[label1]{<address>}
+%% \address[label2]{<address>}
+
+\author{Ahmed Fanfakh,
+        Jean-Claude Charr,
+        Raphaël Couturier,
+        and Arnaud Giersch}
+
+\address{FEMTO-ST Institute, University of Franche-Comté\\
     IUT de Belfort-Montbéliard,
     19 avenue du Maréchal Juin, BP 527, 90016 Belfort cedex, France\\
     % Telephone: \mbox{+33 3 84 58 77 86}, % Raphaël
     % Fax: \mbox{+33 3 84 58 77 81}\\      % Dept Info
-    Email: \email{{jean-claude.charr,raphael.couturier,ahmed.fanfakh_badri_muslim,arnaud.giersch}@univ-fcomte.fr}
+    Email: \email{{ahmed.fanfakh_badri_muslim,jean-claude.charr,raphael.couturier,arnaud.giersch}@univ-fcomte.fr}
    }
-  }
-
-\maketitle
-
 
 \begin{abstract}
-
   In recent years, green computing topic  has  become an important topic 
   in the supercomputing research domain. However, the 
   computing platforms are still  consuming more and
@@ -106,7 +210,7 @@ scaling (DVFS) is one of them. It can be used to reduce the power consumption of
   The algorithm has a small
   overhead and works without training or profiling. It uses a new energy model
   for message passing iterative applications running on a  grid. 
-  The proposed algorithm is evaluated on a real grid , the grid'5000 platform, while
+  The proposed algorithm is evaluated on a real grid, the grid'5000 platform, while
   running the NAS parallel benchmarks.  The experiments show that it reduces the
   energy consumption on average by \np[\%]{30} while  the performance  is only degraded
   on average by \np[\%]{3}. Finally, the algorithm is 
@@ -115,9 +219,23 @@ scaling (DVFS) is one of them. It can be used to reduce the power consumption of
 \end{abstract}
 
 
+\begin{keyword}
+\textcolor{blue}{
+DVFS \sep heterogeneous grid \sep energy consumption \sep performance prediction  \sep energy and performance trade-off  \sep frequencies selecting algorithm }
+
+%% keywords here, in the form: keyword \sep keyword
+
+%% MSC codes here, in the form: \MSC code \sep code
+%% or \MSC[2008] code \sep code (2000 is the default)
+
+\end{keyword}
+
+\end{frontmatter}
+
+
+
 \section{Introduction}
 \label{sec.intro}
-
 The need for more computing power is continually increasing. To partially
 satisfy this need, most supercomputers constructors just put more computing
 nodes in their platform. The resulting platforms may achieve higher floating
@@ -392,11 +510,11 @@ follows:
 \end{equation}
 Replacing $\Fnew$ in (\ref{eq:pd}) as in (\ref{eq:fnew}) gives the following
 equation for dynamic power consumption:
-\begin{multline}
+\begin{equation}
   \label{eq:pdnew}
-   \PdNew = \alpha \cdot \CL \cdot V^2 \cdot \Fnew = \alpha \cdot \CL \cdot \beta^2 \cdot \Fnew^3 \\
-   {} = \alpha \cdot \CL \cdot V^2 \cdot \Fmax \cdot S^{-3} = \PdOld \cdot S^{-3}
-\end{multline}
+   \PdNew = \alpha \cdot \CL \cdot V^2 \cdot \Fnew = \alpha \cdot \CL \cdot \beta^2 \cdot \Fnew^3 
+    = \alpha \cdot \CL \cdot V^2 \cdot \Fmax \cdot S^{-3} = \PdOld \cdot S^{-3}
+\end{equation}
 where $\PdNew$  and $\PdOld$ are the  dynamic power consumed with the
 new frequency and the maximum frequency respectively.
 
@@ -442,13 +560,13 @@ of one iteration multiplied by the static power of each processor.  The overall
 energy consumption of a message passing distributed application executed over a
 heterogeneous grid platform during one iteration is the summation of all dynamic and
 static energies for $M$ processors in $N$ clusters.  It is computed as follows:
-\begin{multline}
+\begin{equation}
   \label{eq:energy}
  E = \sum_{i=1}^{N} \sum_{i=1}^{M} {(S_{ij}^{-2} \cdot \Pd[ij] \cdot  \Tcp[ij])} +  
- \sum_{i=1}^{N} \sum_{j=1}^{M} (\Ps[ij] \cdot {} \\
+ \sum_{i=1}^{N} \sum_{j=1}^{M} (\Ps[ij] \cdot 
   (\mathop{\max_{i=1,\dots N}}_{j=1,\dots,M}({\Tcp[ij]} \cdot S_{ij}) 
   +\mathop{\min_{j=1,\dots M}} (\Tcm[hj]) ))
-\end{multline}
+\end{equation}
 
 Reducing the frequencies of the processors according to the vector of scaling
 factors $(S_{11}, S_{12},\dots, S_{NM})$ may degrade the performance of the application
@@ -540,11 +658,10 @@ equation, as follows:
   \Pnorm = \frac{\Told}{\Tnew}          
 \end{equation}
 
-\begin{figure}[!t]
+\begin{figure}
   \centering
   \subfloat[Homogeneous cluster]{%
-    \includegraphics[width=.33\textwidth]{fig/homo}\label{fig:r1}}%
-
+    \includegraphics[width=.33\textwidth]{fig/homo}\label{fig:r1}} \hspace{2cm}%
   \subfloat[Heterogeneous grid]{%
     \includegraphics[width=.33\textwidth]{fig/heter}\label{fig:r2}}
   \label{fig:rel}
@@ -642,7 +759,8 @@ in~\cite{Zhuo_Energy.efficient.Dynamic.Task.Scheduling,Rauber_Analytical.Modelin
 \end{algorithm}
 
 
-In this section, the scaling factors selection algorithm for  grids, algorithm~\ref{HSA}, is presented. It selects the vector of the frequency
+In this section, the scaling factors selection algorithm for  grids, algorithm~\ref{HSA}, 
+is presented. It selects the vector of the frequency
 scaling factors  that gives the best trade-off between minimizing the
 energy consumption and maximizing the performance of a message passing
 synchronous iterative application executed on a  grid. It works
@@ -658,7 +776,7 @@ scaling algorithm is called in the iterative MPI program.
 
 \begin{figure}[!t]
   \centering
-  \includegraphics[scale=0.45]{fig/init_freq}
+  \includegraphics[scale=0.6]{fig/init_freq}
   \caption{Selecting the initial frequencies}
   \label{fig:st_freq}
 \end{figure}
@@ -780,14 +898,6 @@ selected clusters and are presented in table  \ref{table:grid5000}.
   \caption{The selected two sites of grid'5000}
   \label{fig:grid5000}
 \end{figure}
-
-The energy model and the scaling factors selection algorithm were applied to the NAS parallel benchmarks v3.3 \cite{NAS.Parallel.Benchmarks} and evaluated over grid'5000.
-The benchmark suite contains seven applications: CG, MG, EP, LU, BT, SP and FT. These applications have different computations and communications ratios and strategies which make them good testbed applications to evaluate the proposed algorithm and energy model.
-The benchmarks have seven different classes, S, W, A, B, C, D and E, that represent the size of the problem that the method solves. In this work, the class D was used for all benchmarks in all the experiments presented in the next sections. 
-
-
-
-
 \begin{figure}[!t]
   \centering
   \includegraphics[scale=0.6]{fig/power_consumption.pdf}
@@ -796,6 +906,10 @@ The benchmarks have seven different classes, S, W, A, B, C, D and E, that repres
 \end{figure}
 
 
+The energy model and the scaling factors selection algorithm were applied to the NAS parallel benchmarks v3.3 \cite{NAS.Parallel.Benchmarks} and evaluated over grid'5000.
+The benchmark suite contains seven applications: CG, MG, EP, LU, BT, SP and FT. These applications have different computations and communications ratios and strategies which make them good testbed applications to evaluate the proposed algorithm and energy model.
+The benchmarks have seven different classes, S, W, A, B, C, D and E, that represent the size of the problem that the method solves. In this work, the class D was used for all benchmarks in all the experiments presented in the next sections. 
+
 
   
 \begin{table}[!t]
@@ -876,27 +990,23 @@ Table \ref{tab:sc} shows the number of nodes used from each cluster for each sce
                                       & Griffon         & Nancy        & 6                      \\ 
 \hline
 \multirow{3}{*}{One site / 32 nodes}  & Graphite   & Nancy             & 4                      \\ \cline{2-4} 
-                                      & Graphene      & Nancy          & 12                     \\ \cline{2-4} 
-                                      & Griffon          & Nancy       & 12                       \\ 
+                                      & Graphene      & Nancy          & 14                     \\ \cline{2-4} 
+                                      & Griffon          & Nancy       & 14                       \\ 
 \hline
 \end{tabular}
  \label{tab:sc}
 \end{table}
 
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/eng_con_scenarios.eps}
-  \caption{The energy consumption by the nodes wile executing the NAS benchmarks over different scenarios }
-  \label{fig:eng_sen}
-\end{figure}
-
-
 
 \begin{figure}
   \centering
-  \includegraphics[scale=0.5]{fig/time_scenarios.eps}
-  \caption{The execution times of the NAS benchmarks over different scenarios }
-  \label{fig:time_sen}
+  \subfloat[The energy consumption by the nodes wile executing the NAS benchmarks over different scenarios    
+           ]{%
+    \includegraphics[width=.4\textwidth]{fig/eng_con_scenarios.eps}\label{fig:eng_sen}} \hspace{1cm}%
+  \subfloat[The execution times of the NAS benchmarks over different scenarios]{%
+    \includegraphics[width=.4\textwidth]{fig/time_scenarios.eps}\label{fig:time_sen}}
+  \label{fig:exp-time-energy}
+  \caption{The  energy consumption and execution time of NAS  Benchmarks over different scenarios}
 \end{figure}
 
 The NAS parallel benchmarks are executed over these two platforms
@@ -922,27 +1032,18 @@ scenario. Moreover, most of the benchmarks running over the one site scenario th
 However, the  execution times and the energy consumptions of EP and MG benchmarks, which have no or small communications, are not significantly affected 
  in both scenarios. Even when the number of nodes is doubled. On the other hand, the communications of the rest of the benchmarks increases when using long distance communications between two sites or increasing the number of computing nodes.
 
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/eng_s.eps}
-  \caption{The energy reduction while executing the NAS benchmarks over different scenarios }
-  \label{fig:eng_s}
-\end{figure}
-
 
 \begin{figure}
   \centering
-  \includegraphics[scale=0.5]{fig/per_d.eps}
-  \caption{The performance degradation of the NAS benchmarks over different scenarios }
-  \label{fig:per_d}
-\end{figure}
-
-
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/dist.eps}
-  \caption{The tradeoff distance between the energy reduction and the performance of the NAS benchmarks over different scenarios }
-  \label{fig:dist}
+  \subfloat[The energy reduction while executing the NAS benchmarks over different scenarios ]{%
+    \includegraphics[width=.33\textwidth]{fig/eng_s.eps}\label{fig:eng_s}} \hspace{0.08cm}%
+  \subfloat[The performance degradation of the NAS benchmarks over different scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/per_d.eps}\label{fig:per_d}}\hspace{0.08cm}%
+    \subfloat[The tradeoff distance between the energy reduction and the performance of the NAS benchmarks  
+      over different scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/dist.eps}\label{fig:dist}}
+  \label{fig:exp-res}
+  \caption{The experimental results of different scenarios}
 \end{figure}
 
 The energy saving percentage is computed as the ratio between the reduced 
@@ -993,146 +1094,102 @@ tradeoff, on average it is equal to  26\%. The one site scenario using both 16 a
 tradeoff comparing to the two sites scenario  because the former has high speed local communications 
 which increase the computations to communications ratio  and the latter uses long distance communications which decrease this ratio. 
 
-
  Finally, the best energy and performance tradeoff depends on all of the following:
 1) the computations to communications ratio when there are  communications and slack times, 2) the heterogeneity of the computing powers of the nodes and 3) the heterogeneity of the consumed  static and dynamic powers of the nodes.
 
 
 
 
-%\subsection{The experimental results of multi-cores clusters}
-%\label{sec.res-mc}
-%The  clusters of grid'5000 have different number of cores embedded in their nodes
-%as shown in Table \ref{table:grid5000}. In 
-%this section, the proposed scaling algorithm is evaluated over the grid'5000 grid while using multi-core nodes 
-%selected according to the two  platform scenarios described in the section \ref{sec.res}.
-%The two platform scenarios, the two sites and one site scenarios, use  32 
-%cores from multi-cores nodes instead of 32 distinct nodes. For example if 
-%the participating number of cores from a certain cluster is equal to 12, 
-%in the multi-core scenario the selected nodes is equal to 3 nodes while using 
-%4 cores from each node. The platforms with one  
-%core per node and  multi-cores nodes are  shown in Table \ref{table:sen-mc}. 
-%The energy consumptions and execution times of running the NAS parallel 
-%benchmarks, class D, over these four different scenarios are presented 
-%in the figures \ref{fig:eng-cons-mc} and \ref{fig:time-mc} respectively.
-%
-%The execution times for most of  the NAS  benchmarks are higher over the one site multi-cores per node scenario 
-% than the execution time of those running over one site single core per node  scenario. Indeed,  
-%   the communication times  are higher in the one site multi-cores scenario than in the latter scenario because all the cores of a node  share  the same node network link which can be  saturated when running communication bound applications and. Moreover, the cores of a node share the memory bus which can be also saturated and become a bottleneck. 
-%   
-%
-%The experiments showed that for most of the NAS benchmarks and between the four scenarios,  
-%the one site one core scenario gives the best execution times because the communication times are the lowest. 
-%Indeed, in this scenario each core has a dedicated network link and memory bus and all the communications are local.  
-%Moreover, the energy consumptions of the NAS benchmarks are lower over the 
-%one site one core scenario  than over the one site multi-cores scenario because 
-%the first scenario had less execution time than the latter which results in less static energy being consumed.
-%
-%The computations to communications ratios of the NAS benchmarks are higher over 
-%the one site one core scenario  when compared to the ratios of the other scenarios. 
-%More energy reduction was achieved when this ratio is increased because the proposed scaling algorithm selects smaller frequencies that decrease the dynamic power consumption. 
-%
-%  \textcolor{blue}{ Whereas, the energy consumption in the two sites one core scenario is higher than the energy consumption of the two sites multi-core scenario. This is according to the increase in the execution time of the two sites one core scenario. }
-%
-%
-%These experiments also showed that the energy 
-%consumption and the execution times of the EP and MG benchmarks do not change significantly over these four 
-%scenarios  because there are no or small communications,  
-%which could increase or decrease the static power consumptions. Contrary to EP and MG, the  energy consumptions 
-%and the execution times of the rest of the  benchmarks  vary according to the  communication times that are different from one scenario to the other.
-%
-%
-%The energy saving percentages of all NAS benchmarks running over these four scenarios are presented in the figure \ref{fig:eng-s-mc}. It shows that  the energy saving percentages   over the two sites multi-cores scenario 
-%and over the two sites one core scenario are on average  equal to 22\% and 18\%
-%respectively. The energy saving percentages   are higher in the former scenario because  its computations to communications  ratio is higher than the ratio of the latter scenario  as mentioned previously.
-%
-%In contrast, in the one site one 
-%core and one site multi-cores scenarios the energy saving percentages 
-%are approximately equivalent, on average they are up to 25\%. In both scenarios there 
-%are a small difference  in the computations to communications ratios, which leads 
-%the proposed scaling algorithm to select similar frequencies for both scenarios.  
-%
-%The performance degradation percentages of the NAS benchmarks are presented in
-%figure \ref{fig:per-d-mc}. It shows that the performance degradation percentages for the NAS benchmarks are higher over the two sites 
-%multi-cores scenario than over the  two sites  one core scenario, equal on average to 7\% and 4\% respectively. 
-%Moreover, using the two sites multi-cores scenario increased 
-%the computations to communications ratio, which may increase 
-%the overall execution time  when the proposed scaling algorithm is applied and the frequencies scaled down.  
-%
-%
-%When the benchmarks are executed  over the one 
-%site one core scenario, their performance degradation percentages are equal  on average
-%to 10\% and are higher than those executed over the one site multi-cores scenario, 
-%which on average is equal to 7\%. 
-%
-%\textcolor{blue}{
-%The performance degradation percentages over one site multi-cores is lower because  the computations to communications ratio is decreased. Therefore, selecting bigger 
-%frequencies by the scaling algorithm are proportional to this ratio, and thus the execution time do not increase significantly.}
-%
-%
-%The tradeoff distance percentages of the NAS 
-%benchmarks over all scenarios are presented in the figure \ref{fig:dist-mc}.
-%These  tradeoff distance percentages are used to verify which scenario is the best in terms of energy reduction and performance. The figure shows that using muti-cores in both of the one site and two sites scenarios gives bigger  tradeoff distance percentages, on overage equal to 17.6\% and 15.3\% respectively, than using one core per node in both of one site and two sites scenarios,  on average  equal to 14.7\% and 13.3\% respectively. 
-%
-%\begin{table}[]
-%\centering
-%\caption{The multicores scenarios}
-%
-%\begin{tabular}{|*{4}{c|}}
-%\hline
-%Scenario name                          & Cluster name & \begin{tabular}[c]{@{}c@{}}No. of  nodes\\ in each cluster\end{tabular} & 
-%                                       \begin{tabular}[c]{@{}c@{}}No. of  cores\\ for each node\end{tabular}  \\ \hline
-%\multirow{3}{*}{Two sites/ one core}   & Taurus       & 10              & 1                   \\ \cline{2-4}
-%                                       & Graphene     & 10              & 1                   \\ \cline{2-4}
-%                                       & Griffon      & 12              & 1                   \\ \hline
-%\multirow{3}{*}{Two sites/ multicores} & Taurus       & 3               & 3 or 4              \\ \cline{2-4}
-%                                       & Graphene     & 3               & 3 or 4              \\  \cline{2-4}
-%                                       & Griffon      & 3               & 4                   \\ \hline
-%\multirow{3}{*}{One site/ one core}    & Graphite     & 4               & 1                   \\  \cline{2-4}
-%                                       & Graphene     & 12              & 1                   \\  \cline{2-4}
-%                                       & Griffon      & 12              & 1                   \\ \hline
-%\multirow{3}{*}{One site/ multicores}  & Graphite     & 3               & 3 or 4              \\  \cline{2-4}
-%                                       & Graphene     & 3               & 3 or 4              \\  \cline{2-4}
-%                                       & Griffon      & 3               & 4                   \\ \hline
-%\end{tabular}
-%\label{table:sen-mc}
-%\end{table}
-%
-%\begin{figure}
-%  \centering
-%  \includegraphics[scale=0.5]{fig/eng_con.eps}
-%  \caption{Comparing the  energy consumptions of running NAS benchmarks over one core and multicores scenarios }
-%  \label{fig:eng-cons-mc}
-%\end{figure}
-%
-%
-%  \begin{figure}
-%  \centering
-%  \includegraphics[scale=0.5]{fig/time.eps}
-%  \caption{Comparing the  execution times of running NAS benchmarks over one core and multicores scenarios }
-%  \label{fig:time-mc}
-%\end{figure}
-%
-% \begin{figure}
-%  \centering
-%  \includegraphics[scale=0.5]{fig/eng_s_mc.eps}
-%  \caption{The energy saving of running NAS benchmarks over one core and multicores scenarios }
-%  \label{fig:eng-s-mc}
-%\end{figure}
-%
-%\begin{figure}
-%  \centering
-%  \includegraphics[scale=0.5]{fig/per_d_mc.eps}
-%  \caption{The performance degradation of running NAS benchmarks over one core and multicores scenarios }
-%  \label{fig:per-d-mc}
-%\end{figure}
-%
-%\begin{figure}
-%  \centering
-%  \includegraphics[scale=0.5]{fig/dist_mc.eps}
-%  \caption{The tradeoff distance of running NAS benchmarks over one core and multicores scenarios }
-%  \label{fig:dist-mc}
-%\end{figure}
+\subsection{The experimental results of multi-cores clusters}
+\label{sec.res-mc}
+\textcolor{blue}{
+The  clusters of grid'5000 have different number of cores embedded in their nodes
+as shown in Table \ref{table:grid5000}. In 
+this section, the proposed scaling algorithm is evaluated over the grid'5000 grid while using multi-core nodes selected according to the one site scenario described in the section \ref{sec.res}.
+The one site scenario, uses  32 cores from multi-cores nodes instead of 32 distinct nodes. For example if 
+the participating number of cores from a certain cluster is equal to 14, 
+in the multi-core scenario the selected nodes is equal to  4 nodes while using 
+3 or 4 cores from each node. The platforms with one  
+core per node and  multi-cores nodes are  shown in Table \ref{table:sen-mc}. 
+The energy consumptions and execution times of running the NAS parallel 
+benchmarks, class D, over these four different scenarios are presented 
+in the figures \ref{fig:eng-cons-mc} and \ref{fig:time-mc} respectively.}
+
+\begin{table}[]
+\centering
+\caption{The multicores scenarios}
+\begin{tabular}{|*{4}{c|}}
+\hline
+Scenario name                          & Cluster name & \begin{tabular}[c]{@{}c@{}}No. of  nodes\\ in each cluster\end{tabular} & 
+                                       \begin{tabular}[c]{@{}c@{}}No. of  cores\\ for each node\end{tabular}  \\ \hline
+\multirow{3}{*}{One site/ one core}    & Graphite     & 4               & 1                   \\  \cline{2-4}
+                                       & Graphene     & 14              & 1                   \\  \cline{2-4}
+                                       & Griffon      & 14              & 1                   \\ \hline
+\multirow{3}{*}{One site/ multicores}  & Graphite     & 1               &  4              \\  \cline{2-4}
+                                       & Graphene     & 4               & 3 or 4              \\  \cline{2-4}
+                                       & Griffon      & 4               & 3 or 4                   \\ \hline
+\end{tabular}
+\label{table:sen-mc}
+\end{table}
+
+
+\begin{figure}
+  \centering
+  \subfloat[Comparing the  execution times of running NAS benchmarks over one core and multicores scenarios]{%
+    \includegraphics[width=.4\textwidth]{fig/time.eps}\label{fig:time-mc}} \hspace{1cm}%
+  \subfloat[Comparing the  energy consumptions of running NAS benchmarks over one core and multi-cores scenarios]{%
+    \includegraphics[width=.4\textwidth]{fig/eng_con.eps}\label{fig:eng-cons-mc}}
+    \label{fig:eng-cons}
+  \caption{The energy consumptions and execution times of NAS benchmarks over one core and multi-cores scenarios}
+\end{figure}
+
+
+\textcolor{blue}{
+The execution times for most of  the NAS  benchmarks are higher over the one site multi-cores per node scenario 
+than the execution time of those running over one site single core per node  scenario. Indeed,  
+ the communication times  are higher in the one site multi-cores scenario than in the latter scenario because all the cores of a node  share  the same node network link which can be  saturated when running communication bound applications. Moreover, the cores of a node share the memory bus which can be also saturated and become a bottleneck.    
+The experiments showed that for most of the NAS benchmarks,      
+the one site one core scenario gives the best execution times because the communication times are the lowest. 
+Indeed, in this scenario each core has a dedicated network link and memory bus.  
+Moreover, the energy consumptions of the NAS benchmarks are lower over the 
+one site one core scenario  than over the one site multi-cores scenario because 
+the first scenario had less execution time than the latter which results in less static energy being consumed.
+The computations to communications ratios of the NAS benchmarks are higher over 
+the one site one core scenario  when compared to the ratio of the multi-cores scenario. 
+More energy reduction was achieved when this ratio is increased because the proposed scaling algorithm selects smaller frequencies that decrease the dynamic power consumption. 
+These experiments also showed that the energy 
+consumption and the execution times of the EP and MG benchmarks do not change significantly over these two
+scenarios  because there are no or small communications,  
+which could increase or decrease the static power consumptions. Contrary to EP and MG, the  energy consumptions and the execution times of the rest of the  benchmarks  vary according to the  communication times that are different from one scenario to the other.
+The energy saving percentages of all NAS benchmarks running over these two scenarios are presented in the figure \ref{fig:eng-s-mc}. It shows that  the energy saving percentages in the one site one 
+core and one site multi-cores scenarios
+are approximately equivalent, on average they are equal to  25.9\% and 25.1\% respectively. In both scenarios there 
+are a small difference  in the computations to communications ratios, which leads 
+the proposed scaling algorithm to select similar frequencies for both scenarios.  
+The performance degradation percentages of the NAS benchmarks are presented in
+figure \ref{fig:per-d-mc}. It shows that the performance degradation percentages for the NAS benchmarks over one site one core is on average equal to 10.6\% and is higher than these executed over the one site multi-cores scenario, which is on average equal to 7.5\%. 
+The performance degradation percentages over one site multi-cores is lower because  the computations to communications ratio is decreased. Therefore, selecting big
+frequencies by the scaling algorithm are proportional to this ratio, and thus the execution time do not increase significantly.
+The tradeoff distance percentages of the NAS benchmarks over the two scenarios are presented 
+in the figure \ref{fig:dist-mc}. 
+These  tradeoff distance percentages are used to verify which scenario is the best in terms of energy reduction and performance. The figure shows that using muti-cores  scenario gives bigger tradeoff distance percentages, on overage equal to 17.6\%  than using one core per node scenario,  on average  equal to 15.3\%.}
+
+
+
+\begin{figure}
+  \centering
+    \subfloat[The energy saving of running NAS benchmarks over one core and multicores scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/eng_s_mc.eps}\label{fig:eng-s-mc}} \hspace{0.08cm}%
+    \subfloat[The performance degradation of running NAS benchmarks over one core and multicores scenarios
+      ]{%
+    \includegraphics[width=.33\textwidth]{fig/per_d_mc.eps}\label{fig:per-d-mc}}\hspace{0.08cm}%
+    \subfloat[The tradeoff distance of running NAS benchmarks over one core and multicores scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/dist_mc.eps}\label{fig:dist-mc}}
+  \label{fig:exp-res}
+  \caption{The experimental results of one core and multi-cores scenarios}
+\end{figure}
+
+
 
 \subsection{Experiments with different static and dynamic powers consumption scenarios}
 \label{sec.pow_sen}
@@ -1144,31 +1201,24 @@ In addition to the previously used  percentage of static power, two new static p
 The experiments have been executed with these two new static power scenarios  over the one site one core per node scenario.
 In these experiments, the class D of the NAS parallel benchmarks are executed over Nancy's site. 16 computing nodes from the three clusters, Graphite, Graphene and Griffon, where used in this experiment. 
 
- \begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/eng_pow.eps}
-  \caption{The energy saving percentages for the nodes executing the NAS benchmarks over the three power scenarios}
-  \label{fig:eng-pow}
-\end{figure}
 
 \begin{figure}
   \centering
-  \includegraphics[scale=0.5]{fig/per_pow.eps}
-  \caption{The performance degradation percentages for the NAS benchmarks over the three power scenarios}
-  \label{fig:per-pow}
+  \subfloat[The energy saving percentages for the nodes executing the NAS benchmarks over the three power scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/eng_pow.eps}\label{fig:eng-pow}} \hspace{0.08cm}%
+  \subfloat[The performance degradation percentages for the NAS benchmarks over the three power scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/per_pow.eps}\label{fig:per-pow}}\hspace{0.08cm}%
+    \subfloat[The tradeoff distance between the energy reduction and the performance of the NAS benchmarks over the three power scenarios]{%
+    \includegraphics[width=.33\textwidth]{fig/dist_pow.eps}\label{fig:dist-pow}}
+  \label{fig:exp-pow}
+  \caption{The experimental results of different static power scenarios}
 \end{figure}
 
 
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/dist_pow.eps}
-  \caption{The tradeoff distance between the energy reduction and the performance of the NAS benchmarks over the three power scenarios}
-  \label{fig:dist-pow}
-\end{figure}
 
 \begin{figure}
   \centering
-  \includegraphics[scale=0.47]{fig/three_scenarios.pdf}
+  \includegraphics[scale=0.5]{fig/three_scenarios.pdf}
   \caption{Comparing the selected frequency scaling factors for the MG benchmark over the three static power scenarios}
   \label{fig:fre-pow}
 \end{figure}
@@ -1218,24 +1268,15 @@ presented in the figures \ref{fig:edp-eng}, \ref{fig:edp-perf} and \ref{fig:edp-
 
 \begin{figure}
   \centering
-  \includegraphics[scale=0.5]{fig/edp_eng}
-  \caption{The energy reduction induced by  the Maxdist method and the EDP method}
-  \label{fig:edp-eng}
+  \subfloat[The energy reduction induced by the Maxdist method and the EDP method]{%
+    \includegraphics[width=.33\textwidth]{fig/edp_eng}\label{fig:edp-eng}} \hspace{0.08cm}%
+    \subfloat[The performance degradation induced by  the Maxdist method and the EDP method]{%
+    \includegraphics[width=.33\textwidth]{fig/edp_per}\label{fig:edp-perf}}\hspace{0.08cm}%
+    \subfloat[The tradeoff distance between the energy consumption reduction and the performance for the Maxdist method and the  EDP method]{%
+    \includegraphics[width=.33\textwidth]{fig/edp_dist}\label{fig:edp-dist}}
+  \label{fig:edp-comparison}
+  \caption{The comparison results}
 \end{figure}
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/edp_per}
-  \caption{The performance degradation induced by  the Maxdist method and the EDP method}
-  \label{fig:edp-perf}
-\end{figure}
-\begin{figure}
-  \centering
-  \includegraphics[scale=0.5]{fig/edp_dist}
-  \caption{The tradeoff distance between the energy consumption reduction and the performance for the Maxdist method and the  EDP method}
-  \label{fig:edp-dist}
-\end{figure}
-
-
 
 As shown in these figures, the proposed frequencies selection algorithm, Maxdist, outperforms the EDP algorithm in terms of energy consumption reduction and performance for all of the benchmarks executed over the two scenarios. 
 The proposed algorithm gives better results than EDP  because it 
@@ -1249,7 +1290,6 @@ $O(N \cdot M \cdot F^2)$ respectively, where $N$ is the number of the clusters,
 maximum number of available frequencies. When Maxdist is applied to a benchmark that is being executed over 32 nodes distributed between Nancy and Lyon sites, it takes on average  $0.01 ms$  to compute the best frequencies while EDP is on average ten times slower over the same architecture.  
 
 
-
 \section{Conclusion}
 \label{sec.concl}
 This paper has presented a new online frequencies selection algorithm.
@@ -1263,7 +1303,7 @@ To evaluate the proposed method on a real heterogeneous grid platform, it was ap
  NAS parallel benchmarks   and the  class D instance was executed over the  grid'5000 testbed platform. 
  The experimental results showed that the algorithm reduces  on average 30\% of the energy consumption
 for all the NAS benchmarks   while  only degrading by 3\% on average  the performance. 
-The Maxdist algorithm was also evaluated in different scenarios that vary in the distribution of the computing nodes between different clusters' sites or in the values of the consumed static power. The algorithm selects different vector of frequencies according to the 
+The Maxdist algorithm was also evaluated in different scenarios that vary in the distribution of the computing nodes between different clusters' sites or \textcolor{blue}{between using one core and multi-cores per node} or in the values of the consumed static power. The algorithm selects different vector of frequencies according to the 
 computations and communication times ratios, and  the values of the static and measured dynamic powers of the CPUs. 
 Finally, the proposed algorithm was compared to another method that uses
 the well known energy and delay product as an objective function. The comparison results showed 
@@ -1285,24 +1325,10 @@ This work  has been  partially supported by  the Labex ACTION  project (contract
 Mr. Ahmed  Fanfakh, would  like to  thank the University  of Babylon  (Iraq) for
 supporting his work.
 
-% trigger a \newpage just before the given reference
-% number - used to balance the columns on the last page
-% adjust value as needed - may need to be readjusted if
-% the document is modified later
-%\IEEEtriggeratref{15}
 
-\bibliographystyle{IEEEtran}
-\bibliography{IEEEabrv,my_reference}
+\bibliographystyle{elsarticle-num}
+\bibliography{my_reference}
+
 \end{document}
 
-%%% Local Variables:
-%%% mode: latex
-%%% TeX-master: t
-%%% fill-column: 80
-%%% ispell-local-dictionary: "american"
-%%% End:
-
-% LocalWords:  Fanfakh Charr FIXME Tianhe DVFS HPC NAS NPB SMPI Rauber's Rauber
-% LocalWords:  CMOS EPSA Franche Comté Tflop Rünger IUT Maréchal Juin cedex GPU
-% LocalWords:  de badri muslim MPI SimGrid GFlops Xeon EP BT GPUs CPUs AMD
-%  LocalWords:  Spiliopoulos scalability
+%% End of file `ecrc-template.tex'. 
diff --git a/mpi-energy2-extension/IEEEabrv.bib b/mpi-energy2-extension/IEEEabrv.bib
deleted file mode 100644
index 56cae65..0000000
--- a/mpi-energy2-extension/IEEEabrv.bib
+++ /dev/null
@@ -1,447 +0,0 @@
-
-IEEEabrv.bib
-V1.12 (2007/01/11)
-Copyright (c) 2002-2007 by Michael Shell
-See: http://www.michaelshell.org/
-for current contact information.
-
-BibTeX bibliography string definitions of the ABBREVIATED titles of
-IEEE journals and magazines and online publications.
-
-This file is designed for bibliography styles that require 
-abbreviated titles and is not for use in bibliographies that
-require full-length titles.
-
-Support sites:
-http://www.michaelshell.org/tex/ieeetran/
-http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-and/or
-http://www.ieee.org/
-
-Special thanks to Laura Hyslop and ken Rawson of IEEE for their help
-in obtaining the information needed to compile this file. Also,
-Volker Kuhlmann and Moritz Borgmann kindly provided some corrections
-and additions.
-
-*************************************************************************
-Legal Notice:
-This code is offered as-is without any warranty either expressed or
-implied; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE! 
-User assumes all risk.
-In no event shall IEEE or any contributor to this code be liable for
-any damages or losses, including, but not limited to, incidental,
-consequential, or any other damages, resulting from the use or misuse
-of any information contained here.
-
-All comments are the opinions of their respective authors and are not
-necessarily endorsed by the IEEE.
-
-This work is distributed under the LaTeX Project Public License (LPPL)
-( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-distributed and modified. A copy of the LPPL, version 1.3, is included
-in the base LaTeX documentation of all distributions of LaTeX released
-2003/12/01 or later.
-Retain all contribution notices and credits.
-** Modified files should be clearly indicated as such, including  **
-** renaming them and changing author support contact information. **
-
-File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-                   IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-                   IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-*************************************************************************
-
-
-USAGE:
-
-\bibliographystyle{mybstfile}
-\bibliography{IEEEabrv,mybibfile}
-
-where the IEEE titles in the .bib database entries use the strings
-defined here. e.g.,
-
-
-   journal = IEEE_J_AC,
-
-
-to yield "{IEEE} Trans. Automat. Contr."
-
-
-IEEE uses abbreviated journal titles in their bibliographies -
-this file is suitable for work that is to be submitted to the IEEE.
-
-
-For work that requires full-length titles, you should use the full
-titles provided in the companion file, IEEEfull.bib.
-
-
-** NOTES **
-
- 1. Journals have been grouped according to subject in order to make it
-    easier to locate and extract the definitions for related journals - 
-    as most works use references that are confined to a single topic.
-    Magazines are listed in straight alphabetical order.
-
- 2. String names are closely based on IEEE's own internal acronyms.
- 
- 3. Abbreviations follow IEEE's style.
-
- 4. Older, out-of-print IEEE titles are included (but not including titles
-    dating prior to IEEE's formation from the IRE and AIEE in 1963).
-
- 5. The following NEW/current journal definitions have been disabled because
-    their abbreviations have not yet been verified:
-    
-    STRING{IEEE_J_CBB        = "{IEEE/ACM} Trans. Comput. Biology Bioinformatics"}
-    STRING{IEEE_J_CJECE      = "Canadian J. Elect. Comput. Eng."}
-    STRING{IEEE_J_DSC        = "{IEEE} Trans. Dependable Secure Comput."}
-    STRING{IEEE_O_DSO        = "{IEEE} Distrib. Syst. Online"}
-    
- 6. The following OLD journal definitions have been disabled because
-    their abbreviations have not yet been found/verified:
-
-    STRING{IEEE_J_BCTV       = "{IEEE} Trans. Broadcast Television Receivers"}
-    STRING{IEEE_J_EWS        = "{IEEE} Trans. Eng. Writing Speech"}
-
-If you know what the proper abbreviation is for a string in #5 or #6 above,
-email me and I will correct them in the next release.
-
-
-
-
-
-IEEE Journals 
-
-
-
-aerospace and military
-@STRING{IEEE_J_AES        = "{IEEE} Trans. Aerosp. Electron. Syst."}
-@STRING{IEEE_J_ANE        = "{IEEE} Trans. Aerosp. Navig. Electron."}
-@STRING{IEEE_J_ANNE       = "{IEEE} Trans. Aeronaut. Navig. Electron."}
-@STRING{IEEE_J_AS         = "{IEEE} Trans. Aerosp."}
-@STRING{IEEE_J_AIRE       = "{IEEE} Trans. Airborne Electron."}
-@STRING{IEEE_J_MIL        = "{IEEE} Trans. Mil. Electron."}
-
-
-
-autos, transportation and vehicles (non-aerospace)
-@STRING{IEEE_J_ITS        = "{IEEE} Trans. Intell. Transp. Syst."}
-@STRING{IEEE_J_VT         = "{IEEE} Trans. Veh. Technol."}
-@STRING{IEEE_J_VC         = "{IEEE} Trans. Veh. Commun."}
-
-
-
-circuits, signals, systems, audio and controls
-@STRING{IEEE_J_SPL        = "{IEEE} Signal Process. Lett."}
-@STRING{IEEE_J_ASSP       = "{IEEE} Trans. Acoust., Speech, Signal Process."}
-@STRING{IEEE_J_AU         = "{IEEE} Trans. Audio"}
-@STRING{IEEE_J_AUEA       = "{IEEE} Trans. Audio Electroacoust."}
-@STRING{IEEE_J_AC         = "{IEEE} Trans. Autom. Control"}
-@STRING{IEEE_J_CAS        = "{IEEE} Trans. Circuits Syst."}
-@STRING{IEEE_J_CASVT      = "{IEEE} Trans. Circuits Syst. Video Technol."}
-@STRING{IEEE_J_CASI       = "{IEEE} Trans. Circuits Syst. {I}"}
-@STRING{IEEE_J_CASII      = "{IEEE} Trans. Circuits Syst. {II}"}
-in 2004 CASI and CASII renamed part title to CASI_RP and CASII_EB, respectively.
-@STRING{IEEE_J_CASI_RP    = "{IEEE} Trans. Circuits Syst. {I}"}
-@STRING{IEEE_J_CASII_EB   = "{IEEE} Trans. Circuits Syst. {II}"}
-@STRING{IEEE_J_CT         = "{IEEE} Trans. Circuit Theory"}
-@STRING{IEEE_J_CST        = "{IEEE} Trans. Control Syst. Technol."}
-@STRING{IEEE_J_SP         = "{IEEE} Trans. Signal Process."}
-@STRING{IEEE_J_SU         = "{IEEE} Trans. Sonics Ultrason."}
-@STRING{IEEE_J_SAP        = "{IEEE} Trans. Speech Audio Process."}
-@STRING{IEEE_J_UE         = "{IEEE} Trans. Ultrason. Eng."}
-@STRING{IEEE_J_UFFC       = "{IEEE} Trans. Ultrason., Ferroelectr., Freq. Control"}
-
-
-
-communications
-@STRING{IEEE_J_COML       = "{IEEE} Commun. Lett."}
-@STRING{IEEE_J_JSAC       = "{IEEE} J. Sel. Areas Commun."}
-@STRING{IEEE_J_COM        = "{IEEE} Trans. Commun."}
-@STRING{IEEE_J_COMT       = "{IEEE} Trans. Commun. Technol."}
-@STRING{IEEE_J_WCOM       = "{IEEE} Trans. Wireless Commun."}
-
-
-
-components, packaging and manufacturing
-@STRING{IEEE_J_ADVP       = "{IEEE} Trans. Adv. Packag."}
-@STRING{IEEE_J_CHMT       = "{IEEE} Trans. Compon., Hybrids, Manuf. Technol."}
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-@STRING{IEEE_J_CPMTC      = "{IEEE} Trans. Compon., Packag., Manuf. Technol. {C}"}
-@STRING{IEEE_J_CAPT       = "{IEEE} Trans. Compon. Packag. Technol."}
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-@STRING{IEEE_J_PHP        = "{IEEE} Trans. Parts, Hybrids, Packag."}
-@STRING{IEEE_J_PMP        = "{IEEE} Trans. Parts, Mater., Packag."}
-
-
-
-CAD
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-
-
-coding, data, information, knowledge
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-
-
-
-computers, computation, networking and software
-@STRING{IEEE_J_C          = "{IEEE} Trans. Comput."}
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-disabled till definition is verified
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-@STRING{IEEE_J_FUZZ       = "{IEEE} Trans. Fuzzy Syst."}
-@STRING{IEEE_J_IFS        = "{IEEE} Trans. Inf. Forensics Security"}
-@STRING{IEEE_J_MC         = "{IEEE} Trans. Mobile Comput."}
-@STRING{IEEE_J_NET        = "{IEEE/ACM} Trans. Netw."}
-@STRING{IEEE_J_NN         = "{IEEE} Trans. Neural Netw."}
-@STRING{IEEE_J_PDS        = "{IEEE} Trans. Parallel Distrib. Syst."}
-@STRING{IEEE_J_SE         = "{IEEE} Trans. Softw. Eng."}
-
-
-
-computer graphics, imaging, and multimedia
-@STRING{IEEE_J_JDT        = "{IEEE/OSA} J. Display Technol."}
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-@STRING{IEEE_J_MM         = "{IEEE} Trans. Multimedia"}
-@STRING{IEEE_J_VCG        = "{IEEE} Trans. Vis. Comput. Graphics"}
-
-
-
-cybernetics, ergonomics, robots, man-machine, and automation
-@STRING{IEEE_J_ASE        = "{IEEE} Trans. Autom. Sci. Eng."}
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-@STRING{IEEE_J_HFE        = "{IEEE} Trans. Hum. Factors Electron."}
-@STRING{IEEE_J_MMS        = "{IEEE} Trans. Man-Mach. Syst."}
-@STRING{IEEE_J_PAMI       = "{IEEE} Trans. Pattern Anal. Mach. Intell."}
-in 1989 JRA became RA
-in August 2004, RA split into ASE and RO
-@STRING{IEEE_J_RA         = "{IEEE} Trans. Robot. Autom."}
-@STRING{IEEE_J_RO         = "{IEEE} Trans. Robot."}
-@STRING{IEEE_J_SMC        = "{IEEE} Trans. Syst., Man, Cybern."}
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-@STRING{IEEE_J_SMCC       = "{IEEE} Trans. Syst., Man, Cybern. {C}"}
-@STRING{IEEE_J_SSC        = "{IEEE} Trans. Syst. Sci. Cybern."}
-
-
-
-earth, wind, fire and water
-@STRING{IEEE_J_GE         = "{IEEE} Trans. Geosci. Electron."}
-@STRING{IEEE_J_GRS        = "{IEEE} Trans. Geosci. Remote Sens."}
-@STRING{IEEE_J_GRSL       = "{IEEE} Geosci. Remote Sens. Lett."}
-@STRING{IEEE_J_OE         = "{IEEE} J. Ocean. Eng."}
-
-
-
-education, engineering, history, IEEE, professional
-disabled till definition is verified
-STRING{IEEE_J_CJECE       = "Canadian J. Elect. Comput. Eng."}
-@STRING{IEEE_J_PROC       = "Proc. {IEEE}"}
-@STRING{IEEE_J_EDU        = "{IEEE} Trans. Educ."}
-@STRING{IEEE_J_EM         = "{IEEE} Trans. Eng. Manag."}
-disabled till definition is verified
-STRING{IEEE_J_EWS         = "{IEEE} Trans. Eng. Writing Speech"}
-@STRING{IEEE_J_PC         = "{IEEE} Trans. Prof. Commun."}
-
-
-
-electromagnetics, antennas, EMI, magnetics and microwave
-@STRING{IEEE_J_AWPL       = "{IEEE} Antennas Wireless Propag. Lett."}
-@STRING{IEEE_J_MGWL       = "{IEEE} Microw. Guided Wave Lett."}
-IEEE seems to want "Compon." here, not "Comp."
-@STRING{IEEE_J_MWCL       = "{IEEE} Microw. Wireless Compon. Lett."}
-@STRING{IEEE_J_AP         = "{IEEE} Trans. Antennas Propag."}
-@STRING{IEEE_J_EMC        = "{IEEE} Trans. Electromagn. Compat."}
-@STRING{IEEE_J_MAG        = "{IEEE} Trans. Magn."}
-@STRING{IEEE_J_MTT        = "{IEEE} Trans. Microw. Theory Tech."}
-@STRING{IEEE_J_RFI        = "{IEEE} Trans. Radio Freq. Interference"}
-@STRING{IEEE_J_TJMJ       = "{IEEE} Transl. J. Magn. Jpn."}
-
-
-
-energy and power
-@STRING{IEEE_J_EC         = "{IEEE} Trans. Energy Convers."}
-@STRING{IEEE_J_PEL        = "{IEEE} Power Electron. Lett."}
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-@STRING{IEEE_J_PWRE       = "{IEEE} Trans. Power Electron."}
-@STRING{IEEE_J_PWRS       = "{IEEE} Trans. Power Syst."}
-
-
-
-industrial, commercial and consumer
-@STRING{IEEE_J_APPIND     = "{IEEE} Trans. Appl. Ind."}
-@STRING{IEEE_J_BC         = "{IEEE} Trans. Broadcast."}
-disabled till definition is verified
-STRING{IEEE_J_BCTV        = "{IEEE} Trans. Broadcast Television Receivers"}
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-@STRING{IEEE_J_IE         = "{IEEE} Trans. Ind. Electron."}
-@STRING{IEEE_J_IECI       = "{IEEE} Trans. Ind. Electron. Contr. Instrum."}
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-@STRING{IEEE_J_IGA        = "{IEEE} Trans. Ind. Gen. Appl."}
-@STRING{IEEE_J_IINF       = "{IEEE} Trans. Ind. Informat."}
-@STRING{IEEE_J_PSE        = "{IEEE} J. Product Safety Eng."}
-
-
-
-instrumentation and measurement
-@STRING{IEEE_J_IM         = "{IEEE} Trans. Instrum. Meas."}
-
-
-
-insulation and materials
-@STRING{IEEE_J_JEM        = "{IEEE/TMS} J. Electron. Mater."}
-@STRING{IEEE_J_DEI        = "{IEEE} Trans. Dielectr. Electr. Insul."}
-@STRING{IEEE_J_EI         = "{IEEE} Trans. Electr. Insul."}
-
-
-
-mechanical
-@STRING{IEEE_J_MECH       = "{IEEE/ASME} Trans. Mechatronics"}
-@STRING{IEEE_J_MEMS       = "J. Microelectromech. Syst."}
-
-
-
-medical and biological
-@STRING{IEEE_J_BME        = "{IEEE} Trans. Biomed. Eng."}
-Note: The B-ME journal later dropped the hyphen and became the BME.
-@STRING{IEEE_J_B-ME       = "{IEEE} Trans. Bio-Med. Eng."}
-@STRING{IEEE_J_BMELC      = "{IEEE} Trans. Bio-Med. Electron."}
-disabled till definition is verified
-STRING{IEEE_J_CBB         = "{IEEE/ACM} Trans. Comput. Biology Bioinformatics"}
-@STRING{IEEE_J_ITBM       = "{IEEE} Trans. Inf. Technol. Biomed."}
-@STRING{IEEE_J_ME         = "{IEEE} Trans. Med. Electron."}
-@STRING{IEEE_J_MI         = "{IEEE} Trans. Med. Imag."}
-@STRING{IEEE_J_NB         = "{IEEE} Trans. Nanobiosci."}
-@STRING{IEEE_J_NSRE       = "{IEEE} Trans. Neural Syst. Rehabil. Eng."}
-@STRING{IEEE_J_RE         = "{IEEE} Trans. Rehabil. Eng."}
-
-
-
- optics, lightwave and photonics
-@STRING{IEEE_J_PTL        = "{IEEE} Photon. Technol. Lett."}
-@STRING{IEEE_J_JLT        = "J. Lightw. Technol."}
-
-
-
-physics, electrons, nanotechnology, nuclear and quantum electronics
-@STRING{IEEE_J_EDL        = "{IEEE} Electron Device Lett."}
-@STRING{IEEE_J_JQE        = "{IEEE} J. Quantum Electron."}
-@STRING{IEEE_J_JSTQE      = "{IEEE} J. Sel. Topics Quantum Electron."}
-@STRING{IEEE_J_ED         = "{IEEE} Trans. Electron Devices"}
-@STRING{IEEE_J_NANO       = "{IEEE} Trans. Nanotechnol."}
-@STRING{IEEE_J_NS         = "{IEEE} Trans. Nucl. Sci."}
-@STRING{IEEE_J_PS         = "{IEEE} Trans. Plasma Sci."}
-
-
-
-reliability
-IEEE seems to want "Mat." here, not "Mater."
-@STRING{IEEE_J_DMR        = "{IEEE} Trans. Device Mater. Rel."}
-@STRING{IEEE_J_R          = "{IEEE} Trans. Rel."}
-
-
-
-semiconductors, superconductors, electrochemical and solid state
-@STRING{IEEE_J_ESSL       = "{IEEE/ECS} Electrochem. Solid-State Lett."}
-@STRING{IEEE_J_JSSC       = "{IEEE} J. Solid-State Circuits"}
-@STRING{IEEE_J_ASC        = "{IEEE} Trans. Appl. Supercond."}
-@STRING{IEEE_J_SM         = "{IEEE} Trans. Semicond. Manuf."}
-
-
-
-sensors
-@STRING{IEEE_J_SENSOR     = "{IEEE} Sensors J."}
-
-
-
-VLSI
-@STRING{IEEE_J_VLSI       = "{IEEE} Trans. {VLSI} Syst."}
-
-
-
-
-
-
-IEEE Magazines 
-
-
-
-@STRING{IEEE_M_AES        = "{IEEE} Aerosp. Electron. Syst. Mag."}
-@STRING{IEEE_M_HIST       = "{IEEE} Ann. Hist. Comput."}
-@STRING{IEEE_M_AP         = "{IEEE} Antennas Propag. Mag."}
-@STRING{IEEE_M_ASSP       = "{IEEE} {ASSP} Mag."}
-@STRING{IEEE_M_CD         = "{IEEE} Circuits Devices Mag."}
-@STRING{IEEE_M_CAS        = "{IEEE} Circuits Syst. Mag."}
-@STRING{IEEE_M_COM        = "{IEEE} Commun. Mag."}
-@STRING{IEEE_M_COMSOC     = "{IEEE} Commun. Soc. Mag."}
-@STRING{IEEE_M_CIM        = "{IEEE} Comput. Intell. Mag."}
-CSEM changed to CSE in 1999
-@STRING{IEEE_M_CSE        = "{IEEE} Comput. Sci. Eng."}
-@STRING{IEEE_M_CSEM       = "{IEEE} Comput. Sci. Eng. Mag."}
-@STRING{IEEE_M_C          = "{IEEE} Computer"}
-@STRING{IEEE_M_CAP        = "{IEEE} Comput. Appl. Power"}
-@STRING{IEEE_M_CGA        = "{IEEE} Comput. Graph. Appl."}
-@STRING{IEEE_M_CONC       = "{IEEE} Concurrency"}
-@STRING{IEEE_M_CS         = "{IEEE} Control Syst. Mag."}
-@STRING{IEEE_M_DTC        = "{IEEE} Des. Test. Comput."}
-@STRING{IEEE_M_EI         = "{IEEE} Electr. Insul. Mag."}
-@STRING{IEEE_M_ETR        = "{IEEE} ElectroTechnol. Rev."}
-@STRING{IEEE_M_EMB        = "{IEEE} Eng. Med. Biol. Mag."}
-@STRING{IEEE_M_EMR        = "{IEEE} Eng. Manag. Rev."}
-@STRING{IEEE_M_EXP        = "{IEEE} Expert"}
-@STRING{IEEE_M_IA         = "{IEEE} Ind. Appl. Mag."}
-@STRING{IEEE_M_IM         = "{IEEE} Instrum. Meas. Mag."}
-@STRING{IEEE_M_IS         = "{IEEE} Intell. Syst."}
-@STRING{IEEE_M_IC         = "{IEEE} Internet Comput."}
-@STRING{IEEE_M_ITP        = "{IEEE} {IT} Prof."}
-@STRING{IEEE_M_MICRO      = "{IEEE} Micro"}
-@STRING{IEEE_M_MW         = "{IEEE} Microw. Mag."}
-@STRING{IEEE_M_MM         = "{IEEE} Multimedia"}
-@STRING{IEEE_M_NET        = "{IEEE} Netw."}
-IEEE's editorial manual lists "Pers. Commun.", 
-but "Personal Commun. Mag." seems to be what is used in the journals
-@STRING{IEEE_M_PCOM       = "{IEEE} Personal Commun. Mag."}
-@STRING{IEEE_M_POT        = "{IEEE} Potentials"}
-CAP and PER merged to form PE in 2003
-@STRING{IEEE_M_PE         = "{IEEE} Power Energy Mag."}
-@STRING{IEEE_M_PER        = "{IEEE} Power Eng. Rev."}
-@STRING{IEEE_M_PVC        = "{IEEE} Pervasive Comput."}
-@STRING{IEEE_M_RA         = "{IEEE} Robot. Autom. Mag."}
-@STRING{IEEE_M_SAP        = "{IEEE} Security Privacy"}
-@STRING{IEEE_M_SP         = "{IEEE} Signal Process. Mag."}
-@STRING{IEEE_M_S          = "{IEEE} Softw."}
-@STRING{IEEE_M_SPECT      = "{IEEE} Spectr."}
-@STRING{IEEE_M_TS         = "{IEEE} Technol. Soc. Mag."}
-@STRING{IEEE_M_VT         = "{IEEE} Veh. Technol. Mag."}
-@STRING{IEEE_M_WC         = "{IEEE} Wireless Commun. Mag."}
-@STRING{IEEE_M_TODAY      = "Today's Engineer"}
-
-
-
-
-
-
-IEEE Online Publications 
-
-
-
-@STRING{IEEE_O_CSTO        = "{IEEE} Commun. Surveys Tuts."}
-disabled till definition is verified
-STRING{IEEE_O_DSO          = "{IEEE} Distrib. Syst. Online"}
-
-
-
-
-
---
-EOF
diff --git a/mpi-energy2-extension/IEEEtran.bst b/mpi-energy2-extension/IEEEtran.bst
deleted file mode 100644
index 53fbc03..0000000
--- a/mpi-energy2-extension/IEEEtran.bst
+++ /dev/null
@@ -1,2417 +0,0 @@
-%%
-%% IEEEtran.bst
-%% BibTeX Bibliography Style file for IEEE Journals and Conferences (unsorted)
-%% Version 1.12 (2007/01/11)
-%% 
-%% Copyright (c) 2003-2007 Michael Shell
-%% 
-%% Original starting code base and algorithms obtained from the output of
-%% Patrick W. Daly's makebst package as well as from prior versions of
-%% IEEE BibTeX styles:
-%% 
-%% 1. Howard Trickey and Oren Patashnik's ieeetr.bst  (1985/1988)
-%% 2. Silvano Balemi and Richard H. Roy's IEEEbib.bst (1993)
-%% 
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and/or
-%% http://www.ieee.org/
-%% 
-%% For use with BibTeX version 0.99a or later
-%%
-%% This is a numerical citation style.
-%% 
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-%%                    IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-%%                    IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-%%*************************************************************************
-%
-%
-% Changelog:
-%
-% 1.00 (2002/08/13) Initial release
-%
-% 1.10 (2002/09/27)
-%  1. Corrected minor bug for improperly formed warning message when a
-%     book was not given a title. Thanks to Ming Kin Lai for reporting this.
-%  2. Added support for CTLname_format_string and CTLname_latex_cmd fields
-%     in the BST control entry type.
-%
-% 1.11 (2003/04/02)
-%  1. Fixed bug with URLs containing underscores when using url.sty. Thanks
-%     to Ming Kin Lai for reporting this.
-%
-% 1.12 (2007/01/11)
-%  1. Fixed bug with unwanted comma before "et al." when an entry contained
-%     more than two author names. Thanks to Pallav Gupta for reporting this.
-%  2. Fixed bug with anomalous closing quote in tech reports that have a
-%     type, but without a number or address. Thanks to Mehrdad Mirreza for
-%     reporting this.
-%  3. Use braces in \providecommand in begin.bib to better support
-%     latex2html. TeX style length assignments OK with recent versions
-%     of latex2html - 1.71 (2002/2/1) or later is strongly recommended.
-%     Use of the language field still causes trouble with latex2html.
-%     Thanks to Federico Beffa for reporting this.
-%  4. Added IEEEtran.bst ID and version comment string to .bbl output.
-%  5. Provide a \BIBdecl hook that allows the user to execute commands
-%     just prior to the first entry.
-%  6. Use default urlstyle (is using url.sty) of "same" rather than rm to
-%     better work with a wider variety of bibliography styles.
-%  7. Changed month abbreviations from Sept., July and June to Sep., Jul.,
-%     and Jun., respectively, as IEEE now does. Thanks to Moritz Borgmann
-%     for reporting this.
-%  8. Control entry types should not be considered when calculating longest
-%     label width.
-%  9. Added alias www for electronic/online.
-% 10. Added CTLname_url_prefix control entry type.
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% DEFAULTS FOR THE CONTROLS OF THE BST STYLE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% These are the defaults for the user adjustable controls. The values used
-% here can be overridden by the user via IEEEtranBSTCTL entry type.
-
-% NOTE: The recommended LaTeX command to invoke a control entry type is:
-% 
-%\makeatletter
-%\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}
-%\def\@bstctlcite[#1]#2{\@bsphack
-%  \@for\@citeb:=#2\do{%
-%    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-%    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%
-%  \@esphack}
-%\makeatother
-%
-% It is called at the start of the document, before the first \cite, like:
-% \bstctlcite{IEEEexample:BSTcontrol}
-%
-% IEEEtran.cls V1.6 and later does provide this command.
-
-
-
-% #0 turns off the display of the number for articles.
-% #1 enables
-FUNCTION {default.is.use.number.for.article} { #1 }
-
-
-% #0 turns off the display of the paper and type fields in @inproceedings.
-% #1 enables
-FUNCTION {default.is.use.paper} { #1 }
-
-
-% #0 turns off the forced use of "et al."
-% #1 enables
-FUNCTION {default.is.forced.et.al} { #0 }
-
-% The maximum number of names that can be present beyond which an "et al."
-% usage is forced. Be sure that num.names.shown.with.forced.et.al (below)
-% is not greater than this value!
-% Note: There are many instances of references in IEEE journals which have
-% a very large number of authors as well as instances in which "et al." is
-% used profusely.
-FUNCTION {default.max.num.names.before.forced.et.al} { #10 }
-
-% The number of names that will be shown with a forced "et al.".
-% Must be less than or equal to max.num.names.before.forced.et.al
-FUNCTION {default.num.names.shown.with.forced.et.al} { #1 }
-
-
-% #0 turns off the alternate interword spacing for entries with URLs.
-% #1 enables
-FUNCTION {default.is.use.alt.interword.spacing} { #1 }
-
-% If alternate interword spacing for entries with URLs is enabled, this is
-% the interword spacing stretch factor that will be used. For example, the
-% default "4" here means that the interword spacing in entries with URLs can
-% stretch to four times normal. Does not have to be an integer. Note that
-% the value specified here can be overridden by the user in their LaTeX
-% code via a command such as: 
-% "\providecommand\BIBentryALTinterwordstretchfactor{1.5}" in addition to
-% that via the IEEEtranBSTCTL entry type.
-FUNCTION {default.ALTinterwordstretchfactor} { "4" }
-
-
-% #0 turns off the "dashification" of repeated (i.e., identical to those
-% of the previous entry) names. IEEE normally does this.
-% #1 enables
-FUNCTION {default.is.dash.repeated.names} { #1 }
-
-
-% The default name format control string.
-FUNCTION {default.name.format.string}{ "{f.~}{vv~}{ll}{, jj}" }
-
-
-% The default LaTeX font command for the names.
-FUNCTION {default.name.latex.cmd}{ "" }
-
-
-% The default URL prefix.
-FUNCTION {default.name.url.prefix}{ "[Online]. Available:" }
-
-
-% Other controls that cannot be accessed via IEEEtranBSTCTL entry type.
-
-% #0 turns off the terminal startup banner/completed message so as to
-% operate more quietly.
-% #1 enables
-FUNCTION {is.print.banners.to.terminal} { #1 }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% FILE VERSION AND BANNER %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION{bst.file.version} { "1.12" }
-FUNCTION{bst.file.date} { "2007/01/11" }
-FUNCTION{bst.file.website} { "http://www.michaelshell.org/tex/ieeetran/bibtex/" }
-
-FUNCTION {banner.message}
-{ is.print.banners.to.terminal
-     { "-- IEEEtran.bst version" " " * bst.file.version *
-       " (" * bst.file.date * ") " * "by Michael Shell." *
-       top$
-       "-- " bst.file.website *
-       top$
-       "-- See the " quote$ * "IEEEtran_bst_HOWTO.pdf" * quote$ * " manual for usage information." *
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-FUNCTION {completed.message}
-{ is.print.banners.to.terminal
-     { ""
-       top$
-       "Done."
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING CONSTANTS %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {bbl.and}{ "and" }
-FUNCTION {bbl.etal}{ "et~al." }
-FUNCTION {bbl.editors}{ "eds." }
-FUNCTION {bbl.editor}{ "ed." }
-FUNCTION {bbl.edition}{ "ed." }
-FUNCTION {bbl.volume}{ "vol." }
-FUNCTION {bbl.of}{ "of" }
-FUNCTION {bbl.number}{ "no." }
-FUNCTION {bbl.in}{ "in" }
-FUNCTION {bbl.pages}{ "pp." }
-FUNCTION {bbl.page}{ "p." }
-FUNCTION {bbl.chapter}{ "ch." }
-FUNCTION {bbl.paper}{ "paper" }
-FUNCTION {bbl.part}{ "pt." }
-FUNCTION {bbl.patent}{ "Patent" }
-FUNCTION {bbl.patentUS}{ "U.S." }
-FUNCTION {bbl.revision}{ "Rev." }
-FUNCTION {bbl.series}{ "ser." }
-FUNCTION {bbl.standard}{ "Std." }
-FUNCTION {bbl.techrep}{ "Tech. Rep." }
-FUNCTION {bbl.mthesis}{ "Master's thesis" }
-FUNCTION {bbl.phdthesis}{ "Ph.D. dissertation" }
-FUNCTION {bbl.st}{ "st" }
-FUNCTION {bbl.nd}{ "nd" }
-FUNCTION {bbl.rd}{ "rd" }
-FUNCTION {bbl.th}{ "th" }
-
-
-% This is the LaTeX spacer that is used when a larger than normal space
-% is called for (such as just before the address:publisher).
-FUNCTION {large.space} { "\hskip 1em plus 0.5em minus 0.4em\relax " }
-
-% The LaTeX code for dashes that are used to represent repeated names.
-% Note: Some older IEEE journals used something like
-% "\rule{0.275in}{0.5pt}\," which is fairly thick and runs right along
-% the baseline. However, IEEE now uses a thinner, above baseline,
-% six dash long sequence.
-FUNCTION {repeated.name.dashes} { "------" }
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% PREDEFINED STRING MACROS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-MACRO {jan} {"Jan."}
-MACRO {feb} {"Feb."}
-MACRO {mar} {"Mar."}
-MACRO {apr} {"Apr."}
-MACRO {may} {"May"}
-MACRO {jun} {"Jun."}
-MACRO {jul} {"Jul."}
-MACRO {aug} {"Aug."}
-MACRO {sep} {"Sep."}
-MACRO {oct} {"Oct."}
-MACRO {nov} {"Nov."}
-MACRO {dec} {"Dec."}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% ENTRY FIELDS %%
-%%%%%%%%%%%%%%%%%%
-
-ENTRY
-  { address
-    assignee
-    author
-    booktitle
-    chapter
-    day
-    dayfiled
-    edition
-    editor
-    howpublished
-    institution
-    intype
-    journal
-    key
-    language
-    month
-    monthfiled
-    nationality
-    note
-    number
-    organization
-    pages
-    paper
-    publisher
-    school
-    series
-    revision
-    title
-    type
-    url
-    volume
-    year
-    yearfiled
-    CTLuse_article_number
-    CTLuse_paper
-    CTLuse_forced_etal
-    CTLmax_names_forced_etal
-    CTLnames_show_etal
-    CTLuse_alt_spacing
-    CTLalt_stretch_factor
-    CTLdash_repeated_names
-    CTLname_format_string
-    CTLname_latex_cmd
-    CTLname_url_prefix
-  }
-  {}
-  { label }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%
-%% INTEGER VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%%
-
-INTEGERS { prev.status.punct this.status.punct punct.std
-           punct.no punct.comma punct.period 
-           prev.status.space this.status.space space.std
-           space.no space.normal space.large
-           prev.status.quote this.status.quote quote.std
-           quote.no quote.close
-           prev.status.nline this.status.nline nline.std
-           nline.no nline.newblock 
-           status.cap cap.std
-           cap.no cap.yes}
-
-INTEGERS { longest.label.width multiresult nameptr namesleft number.label numnames }
-
-INTEGERS { is.use.number.for.article
-           is.use.paper
-           is.forced.et.al
-           max.num.names.before.forced.et.al
-           num.names.shown.with.forced.et.al
-           is.use.alt.interword.spacing
-           is.dash.repeated.names}
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-STRINGS { bibinfo
-          longest.label
-          oldname
-          s
-          t
-          ALTinterwordstretchfactor
-          name.format.string
-          name.latex.cmd
-          name.url.prefix}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LOW LEVEL FUNCTIONS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.controls}
-{ default.is.use.number.for.article 'is.use.number.for.article :=
-  default.is.use.paper 'is.use.paper :=
-  default.is.forced.et.al 'is.forced.et.al :=
-  default.max.num.names.before.forced.et.al 'max.num.names.before.forced.et.al :=
-  default.num.names.shown.with.forced.et.al 'num.names.shown.with.forced.et.al :=
-  default.is.use.alt.interword.spacing 'is.use.alt.interword.spacing :=
-  default.is.dash.repeated.names 'is.dash.repeated.names :=
-  default.ALTinterwordstretchfactor 'ALTinterwordstretchfactor :=
-  default.name.format.string 'name.format.string :=
-  default.name.latex.cmd 'name.latex.cmd :=
-  default.name.url.prefix 'name.url.prefix :=
-}
-
-
-% This IEEEtran.bst features a very powerful and flexible mechanism for
-% controlling the capitalization, punctuation, spacing, quotation, and
-% newlines of the formatted entry fields. (Note: IEEEtran.bst does not need
-% or use the newline/newblock feature, but it has been implemented for
-% possible future use.) The output states of IEEEtran.bst consist of
-% multiple independent attributes and, as such, can be thought of as being
-% vectors, rather than the simple scalar values ("before.all", 
-% "mid.sentence", etc.) used in most other .bst files.
-% 
-% The more flexible and complex design used here was motivated in part by
-% IEEE's rather unusual bibliography style. For example, IEEE ends the
-% previous field item with a period and large space prior to the publisher
-% address; the @electronic entry types use periods as inter-item punctuation
-% rather than the commas used by the other entry types; and URLs are never
-% followed by periods even though they are the last item in the entry.
-% Although it is possible to accommodate these features with the conventional
-% output state system, the seemingly endless exceptions make for convoluted,
-% unreliable and difficult to maintain code.
-%
-% IEEEtran.bst's output state system can be easily understood via a simple
-% illustration of two most recently formatted entry fields (on the stack):
-%
-%               CURRENT_ITEM
-%               "PREVIOUS_ITEM
-%
-% which, in this example, is to eventually appear in the bibliography as:
-% 
-%               "PREVIOUS_ITEM," CURRENT_ITEM
-%
-% It is the job of the output routine to take the previous item off of the
-% stack (while leaving the current item at the top of the stack), apply its
-% trailing punctuation (including closing quote marks) and spacing, and then
-% to write the result to BibTeX's output buffer:
-% 
-%               "PREVIOUS_ITEM," 
-% 
-% Punctuation (and spacing) between items is often determined by both of the
-% items rather than just the first one. The presence of quotation marks
-% further complicates the situation because, in standard English, trailing
-% punctuation marks are supposed to be contained within the quotes.
-% 
-% IEEEtran.bst maintains two output state (aka "status") vectors which
-% correspond to the previous and current (aka "this") items. Each vector
-% consists of several independent attributes which track punctuation,
-% spacing, quotation, and newlines. Capitalization status is handled by a
-% separate scalar because the format routines, not the output routine,
-% handle capitalization and, therefore, there is no need to maintain the
-% capitalization attribute for both the "previous" and "this" items.
-% 
-% When a format routine adds a new item, it copies the current output status
-% vector to the previous output status vector and (usually) resets the
-% current (this) output status vector to a "standard status" vector. Using a
-% "standard status" vector in this way allows us to redefine what we mean by
-% "standard status" at the start of each entry handler and reuse the same
-% format routines under the various inter-item separation schemes. For
-% example, the standard status vector for the @book entry type may use
-% commas for item separators, while the @electronic type may use periods,
-% yet both entry handlers exploit many of the exact same format routines.
-% 
-% Because format routines have write access to the output status vector of
-% the previous item, they can override the punctuation choices of the
-% previous format routine! Therefore, it becomes trivial to implement rules
-% such as "Always use a period and a large space before the publisher." By
-% pushing the generation of the closing quote mark to the output routine, we
-% avoid all the problems caused by having to close a quote before having all
-% the information required to determine what the punctuation should be.
-%
-% The IEEEtran.bst output state system can easily be expanded if needed.
-% For instance, it is easy to add a "space.tie" attribute value if the
-% bibliography rules mandate that two items have to be joined with an
-% unbreakable space. 
-
-FUNCTION {initialize.status.constants}
-{ #0 'punct.no :=
-  #1 'punct.comma :=
-  #2 'punct.period :=
-  #0 'space.no := 
-  #1 'space.normal :=
-  #2 'space.large :=
-  #0 'quote.no :=
-  #1 'quote.close :=
-  #0 'cap.no :=
-  #1 'cap.yes :=
-  #0 'nline.no :=
-  #1 'nline.newblock :=
-}
-
-FUNCTION {std.status.using.comma}
-{ punct.comma 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.no 'cap.std :=
-}
-
-FUNCTION {std.status.using.period}
-{ punct.period 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.yes 'cap.std :=
-}
-
-FUNCTION {initialize.prev.this.status}
-{ punct.no 'prev.status.punct :=
-  space.no 'prev.status.space :=
-  quote.no 'prev.status.quote :=
-  nline.no 'prev.status.nline :=
-  punct.no 'this.status.punct :=
-  space.no 'this.status.space :=
-  quote.no 'this.status.quote :=
-  nline.no 'this.status.nline :=
-  cap.yes 'status.cap :=
-}
-
-FUNCTION {this.status.std}
-{ punct.std 'this.status.punct :=
-  space.std 'this.status.space :=
-  quote.std 'this.status.quote :=
-  nline.std 'this.status.nline :=
-}
-
-FUNCTION {cap.status.std}{ cap.std 'status.cap := }
-
-FUNCTION {this.to.prev.status}
-{ this.status.punct 'prev.status.punct :=
-  this.status.space 'prev.status.space :=
-  this.status.quote 'prev.status.quote :=
-  this.status.nline 'prev.status.nline :=
-}
-
-
-FUNCTION {not}
-{   { #0 }
-    { #1 }
-  if$
-}
-
-FUNCTION {and}
-{   { skip$ }
-    { pop$ #0 }
-  if$
-}
-
-FUNCTION {or}
-{   { pop$ #1 }
-    { skip$ }
-  if$
-}
-
-
-% convert the strings "yes" or "no" to #1 or #0 respectively
-FUNCTION {yes.no.to.int}
-{ "l" change.case$ duplicate$
-    "yes" =
-    { pop$  #1 }
-    { duplicate$ "no" =
-        { pop$ #0 }
-        { "unknown boolean " quote$ * swap$ * quote$ *
-          " in " * cite$ * warning$
-          #0
-        }
-      if$
-    }
-  if$
-}
-
-
-% pushes true if the single char string on the stack is in the
-% range of "0" to "9"
-FUNCTION {is.num}
-{ chr.to.int$
-  duplicate$ "0" chr.to.int$ < not
-  swap$ "9" chr.to.int$ > not and
-}
-
-% multiplies the integer on the stack by a factor of 10
-FUNCTION {bump.int.mag}
-{ #0 'multiresult :=
-    { duplicate$ #0 > }
-    { #1 -
-      multiresult #10 +
-      'multiresult :=
-    }
-  while$
-pop$
-multiresult
-}
-
-% converts a single character string on the stack to an integer
-FUNCTION {char.to.integer}
-{ duplicate$ 
-  is.num
-    { chr.to.int$ "0" chr.to.int$ - }
-    {"noninteger character " quote$ * swap$ * quote$ *
-          " in integer field of " * cite$ * warning$
-    #0
-    }
-  if$
-}
-
-% converts a string on the stack to an integer
-FUNCTION {string.to.integer}
-{ duplicate$ text.length$ 'namesleft :=
-  #1 'nameptr :=
-  #0 'numnames :=
-    { nameptr namesleft > not }
-    { duplicate$ nameptr #1 substring$
-      char.to.integer numnames bump.int.mag +
-      'numnames :=
-      nameptr #1 +
-      'nameptr :=
-    }
-  while$
-pop$
-numnames
-}
-
-
-
-
-% The output routines write out the *next* to the top (previous) item on the
-% stack, adding punctuation and such as needed. Since IEEEtran.bst maintains
-% the output status for the top two items on the stack, these output
-% routines have to consider the previous output status (which corresponds to
-% the item that is being output). Full independent control of punctuation,
-% closing quote marks, spacing, and newblock is provided.
-% 
-% "output.nonnull" does not check for the presence of a previous empty
-% item.
-% 
-% "output" does check for the presence of a previous empty item and will
-% remove an empty item rather than outputing it.
-% 
-% "output.warn" is like "output", but will issue a warning if it detects
-% an empty item.
-
-FUNCTION {output.nonnull}
-{ swap$
-  prev.status.punct punct.comma =
-     { "," * }
-     { skip$ }
-   if$
-  prev.status.punct punct.period =
-     { add.period$ }
-     { skip$ }
-   if$ 
-  prev.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-  prev.status.space space.normal =
-     { " " * }
-     { skip$ }
-   if$
-  prev.status.space space.large =
-     { large.space * }
-     { skip$ }
-   if$
-  write$
-  prev.status.nline nline.newblock =
-     { newline$ "\newblock " write$ }
-     { skip$ }
-   if$
-}
-
-FUNCTION {output}
-{ duplicate$ empty$
-    'pop$
-    'output.nonnull
-  if$
-}
-
-FUNCTION {output.warn}
-{ 't :=
-  duplicate$ empty$
-    { pop$ "empty " t * " in " * cite$ * warning$ }
-    'output.nonnull
-  if$
-}
-
-% "fin.entry" is the output routine that handles the last item of the entry
-% (which will be on the top of the stack when "fin.entry" is called).
-
-FUNCTION {fin.entry}
-{ this.status.punct punct.no =
-     { skip$ }
-     { add.period$ }
-   if$
-   this.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-write$
-newline$
-}
-
-
-FUNCTION {is.last.char.not.punct}
-{ duplicate$
-   "}" * add.period$
-   #-1 #1 substring$ "." =
-}
-
-FUNCTION {is.multiple.pages}
-{ 't :=
-  #0 'multiresult :=
-    { multiresult not
-      t empty$ not
-      and
-    }
-    { t #1 #1 substring$
-      duplicate$ "-" =
-      swap$ duplicate$ "," =
-      swap$ "+" =
-      or or
-        { #1 'multiresult := }
-        { t #2 global.max$ substring$ 't := }
-      if$
-    }
-  while$
-  multiresult
-}
-
-FUNCTION {capitalize}{ "u" change.case$ "t" change.case$ }
-
-FUNCTION {emphasize}
-{ duplicate$ empty$
-    { pop$ "" }
-    { "\emph{" swap$ * "}" * }
-  if$
-}
-
-FUNCTION {do.name.latex.cmd}
-{ name.latex.cmd
-  empty$
-    { skip$ }
-    { name.latex.cmd "{" * swap$ * "}" * }
-  if$
-}
-
-% IEEEtran.bst uses its own \BIBforeignlanguage command which directly
-% invokes the TeX hyphenation patterns without the need of the Babel
-% package. Babel does a lot more than switch hyphenation patterns and
-% its loading can cause unintended effects in many class files (such as
-% IEEEtran.cls).
-FUNCTION {select.language}
-{ duplicate$ empty$ 'pop$
-    { language empty$ 'skip$
-        { "\BIBforeignlanguage{" language * "}{" * swap$ * "}" * }
-      if$
-    }
-  if$
-}
-
-FUNCTION {tie.or.space.prefix}
-{ duplicate$ text.length$ #3 <
-    { "~" }
-    { " " }
-  if$
-  swap$
-}
-
-FUNCTION {get.bbl.editor}
-{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ }
-
-FUNCTION {space.word}{ " " swap$ * " " * }
-
-
-% Field Conditioners, Converters, Checkers and External Interfaces
-
-FUNCTION {empty.field.to.null.string}
-{ duplicate$ empty$
-    { pop$ "" }
-    { skip$ }
-  if$
-}
-
-FUNCTION {either.or.check}
-{ empty$
-    { pop$ }
-    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
-  if$
-}
-
-FUNCTION {empty.entry.warn}
-{ author empty$ title empty$ howpublished empty$
-  month empty$ year empty$ note empty$ url empty$
-  and and and and and and
-    { "all relevant fields are empty in " cite$ * warning$ }
-    'skip$
-  if$
-}
-
-
-% The bibinfo system provides a way for the electronic parsing/acquisition
-% of a bibliography's contents as is done by ReVTeX. For example, a field
-% could be entered into the bibliography as:
-% \bibinfo{volume}{2}
-% Only the "2" would show up in the document, but the LaTeX \bibinfo command
-% could do additional things with the information. IEEEtran.bst does provide
-% a \bibinfo command via "\providecommand{\bibinfo}[2]{#2}". However, it is
-% currently not used as the bogus bibinfo functions defined here output the
-% entry values directly without the \bibinfo wrapper. The bibinfo functions
-% themselves (and the calls to them) are retained for possible future use.
-% 
-% bibinfo.check avoids acting on missing fields while bibinfo.warn will
-% issue a warning message if a missing field is detected. Prior to calling
-% the bibinfo functions, the user should push the field value and then its
-% name string, in that order.
-
-FUNCTION {bibinfo.check}
-{ swap$ duplicate$ missing$
-    { pop$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ pop$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-FUNCTION {bibinfo.warn}
-{ swap$ duplicate$ missing$
-    { swap$ "missing " swap$ * " in " * cite$ * warning$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ "empty " swap$ * " in " * cite$ * warning$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-
-% IEEE separates large numbers with more than 4 digits into groups of
-% three. IEEE uses a small space to separate these number groups. 
-% Typical applications include patent and page numbers.
-
-% number of consecutive digits required to trigger the group separation.
-FUNCTION {large.number.trigger}{ #5 }
-
-% For numbers longer than the trigger, this is the blocksize of the groups.
-% The blocksize must be less than the trigger threshold, and 2 * blocksize
-% must be greater than the trigger threshold (can't do more than one
-% separation on the initial trigger).
-FUNCTION {large.number.blocksize}{ #3 }
-
-% What is actually inserted between the number groups.
-FUNCTION {large.number.separator}{ "\," }
-
-% So as to save on integer variables by reusing existing ones, numnames
-% holds the current number of consecutive digits read and nameptr holds
-% the number that will trigger an inserted space.
-FUNCTION {large.number.separate}
-{ 't :=
-  ""
-  #0 'numnames :=
-  large.number.trigger 'nameptr :=
-  { t empty$ not }
-  { t #-1 #1 substring$ is.num
-      { numnames #1 + 'numnames := }
-      { #0 'numnames := 
-        large.number.trigger 'nameptr :=
-      }
-    if$
-    t #-1 #1 substring$ swap$ *
-    t #-2 global.max$ substring$ 't :=
-    numnames nameptr =
-      { duplicate$ #1 nameptr large.number.blocksize - substring$ swap$
-        nameptr large.number.blocksize - #1 + global.max$ substring$
-        large.number.separator swap$ * *
-        nameptr large.number.blocksize - 'numnames :=
-        large.number.blocksize #1 + 'nameptr :=
-      }
-      { skip$ }
-    if$
-  }
-  while$
-}
-
-% Converts all single dashes "-" to double dashes "--".
-FUNCTION {n.dashify}
-{ large.number.separate
-  't :=
-  ""
-    { t empty$ not }
-    { t #1 #1 substring$ "-" =
-        { t #1 #2 substring$ "--" = not
-            { "--" *
-              t #2 global.max$ substring$ 't :=
-            }
-            {   { t #1 #1 substring$ "-" = }
-                { "-" *
-                  t #2 global.max$ substring$ 't :=
-                }
-              while$
-            }
-          if$
-        }
-        { t #1 #1 substring$ *
-          t #2 global.max$ substring$ 't :=
-        }
-      if$
-    }
-  while$
-}
-
-
-% This function detects entries with names that are identical to that of
-% the previous entry and replaces the repeated names with dashes (if the
-% "is.dash.repeated.names" user control is nonzero).
-FUNCTION {name.or.dash}
-{ 's :=
-   oldname empty$
-     { s 'oldname := s }
-     { s oldname =
-         { is.dash.repeated.names
-              { repeated.name.dashes }
-              { s 'oldname := s }
-            if$
-         }
-         { s 'oldname := s }
-       if$
-     }
-   if$
-}
-
-% Converts the number string on the top of the stack to
-% "numerical ordinal form" (e.g., "7" to "7th"). There is
-% no artificial limit to the upper bound of the numbers as the
-% least significant digit always determines the ordinal form.
-FUNCTION {num.to.ordinal}
-{ duplicate$ #-1 #1 substring$ "1" =
-     { bbl.st * }
-     { duplicate$ #-1 #1 substring$ "2" =
-         { bbl.nd * }
-         { duplicate$ #-1 #1 substring$ "3" =
-             { bbl.rd * }
-             { bbl.th * }
-           if$
-         }
-       if$
-     }
-   if$
-}
-
-% If the string on the top of the stack begins with a number,
-% (e.g., 11th) then replace the string with the leading number
-% it contains. Otherwise retain the string as-is. s holds the
-% extracted number, t holds the part of the string that remains
-% to be scanned.
-FUNCTION {extract.num}
-{ duplicate$ 't :=
-  "" 's :=
-  { t empty$ not }
-  { t #1 #1 substring$
-    t #2 global.max$ substring$ 't :=
-    duplicate$ is.num
-      { s swap$ * 's := }
-      { pop$ "" 't := }
-    if$
-  }
-  while$
-  s empty$
-    'skip$
-    { pop$ s }
-  if$
-}
-
-% Converts the word number string on the top of the stack to
-% Arabic string form. Will be successful up to "tenth".
-FUNCTION {word.to.num}
-{ duplicate$ "l" change.case$ 's :=
-  s "first" =
-    { pop$ "1" }
-    { skip$ }
-  if$
-  s "second" =
-    { pop$ "2" }
-    { skip$ }
-  if$
-  s "third" =
-    { pop$ "3" }
-    { skip$ }
-  if$
-  s "fourth" =
-    { pop$ "4" }
-    { skip$ }
-  if$
-  s "fifth" =
-    { pop$ "5" }
-    { skip$ }
-  if$
-  s "sixth" =
-    { pop$ "6" }
-    { skip$ }
-  if$
-  s "seventh" =
-    { pop$ "7" }
-    { skip$ }
-  if$
-  s "eighth" =
-    { pop$ "8" }
-    { skip$ }
-  if$
-  s "ninth" =
-    { pop$ "9" }
-    { skip$ }
-  if$
-  s "tenth" =
-    { pop$ "10" }
-    { skip$ }
-  if$
-}
-
-
-% Converts the string on the top of the stack to numerical
-% ordinal (e.g., "11th") form.
-FUNCTION {convert.edition}
-{ duplicate$ empty$ 'skip$
-    { duplicate$ #1 #1 substring$ is.num
-        { extract.num
-          num.to.ordinal
-        }
-        { word.to.num
-          duplicate$ #1 #1 substring$ is.num
-            { num.to.ordinal }
-            { "edition ordinal word " quote$ * edition * quote$ *
-              " may be too high (or improper) for conversion" * " in " * cite$ * warning$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LATEX BIBLIOGRAPHY CODE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {start.entry}
-{ newline$
-  "\bibitem{" write$
-  cite$ write$
-  "}" write$
-  newline$
-  ""
-  initialize.prev.this.status
-}
-
-% Here we write out all the LaTeX code that we will need. The most involved
-% code sequences are those that control the alternate interword spacing and
-% foreign language hyphenation patterns. The heavy use of \providecommand
-% gives users a way to override the defaults. Special thanks to Javier Bezos,
-% Johannes Braams, Robin Fairbairns, Heiko Oberdiek, Donald Arseneau and all
-% the other gurus on comp.text.tex for their help and advice on the topic of
-% \selectlanguage, Babel and BibTeX.
-FUNCTION {begin.bib}
-{ "% Generated by IEEEtran.bst, version: " bst.file.version * " (" * bst.file.date * ")" *
-  write$ newline$
-  preamble$ empty$ 'skip$
-    { preamble$ write$ newline$ }
-  if$
-  "\begin{thebibliography}{"  longest.label  * "}" *
-  write$ newline$
-  "\providecommand{\url}[1]{#1}"
-  write$ newline$
-  "\csname url@samestyle\endcsname"
-  write$ newline$
-  "\providecommand{\newblock}{\relax}"
-  write$ newline$
-  "\providecommand{\bibinfo}[2]{#2}"
-  write$ newline$
-  "\providecommand{\BIBentrySTDinterwordspacing}{\spaceskip=0pt\relax}"
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordstretchfactor}{"
-  ALTinterwordstretchfactor * "}" *
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordspacing}{\spaceskip=\fontdimen2\font plus "
-  write$ newline$
-  "\BIBentryALTinterwordstretchfactor\fontdimen3\font minus \fontdimen4\font\relax}"
-  write$ newline$
-  "\providecommand{\BIBforeignlanguage}[2]{{%"
-  write$ newline$
-  "\expandafter\ifx\csname l@#1\endcsname\relax"
-  write$ newline$
-  "\typeout{** WARNING: IEEEtran.bst: No hyphenation pattern has been}%"
-  write$ newline$
-  "\typeout{** loaded for the language `#1'. Using the pattern for}%"
-  write$ newline$
-  "\typeout{** the default language instead.}%"
-  write$ newline$
-  "\else"
-  write$ newline$
-  "\language=\csname l@#1\endcsname"
-  write$ newline$
-  "\fi"
-  write$ newline$
-  "#2}}"
-  write$ newline$
-  "\providecommand{\BIBdecl}{\relax}"
-  write$ newline$
-  "\BIBdecl"
-  write$ newline$
-}
-
-FUNCTION {end.bib}
-{ newline$ "\end{thebibliography}" write$ newline$ }
-
-FUNCTION {if.url.alt.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentryALTinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-FUNCTION {if.url.std.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentrySTDinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%
-%% LONGEST LABEL PASS %%
-%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.longest.label}
-{ "" 'longest.label :=
-  #1 'number.label :=
-  #0 'longest.label.width :=
-}
-
-FUNCTION {longest.label.pass}
-{ type$ "ieeetranbstctl" =
-    { skip$ }
-    { number.label int.to.str$ 'label :=
-      number.label #1 + 'number.label :=
-      label width$ longest.label.width >
-        { label 'longest.label :=
-          label width$ 'longest.label.width :=
-        }
-        { skip$ }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%
-%% FORMAT HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%%
-
-%% Lower Level Formats (used by higher level formats)
-
-FUNCTION {format.address.org.or.pub.date}
-{ 't :=
-  ""
-  year empty$
-    { "empty year in " cite$ * warning$ }
-    { skip$ }
-  if$
-  address empty$ t empty$ and
-  year empty$ and month empty$ and
-    { skip$ }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      address "address" bibinfo.check *
-      t empty$
-        { skip$ }
-        { punct.period 'prev.status.punct :=
-          space.large 'prev.status.space :=
-          address empty$
-            { skip$ }
-            { ": " * }
-          if$
-          t *
-        }
-      if$
-      year empty$ month empty$ and
-        { skip$ }
-        { t empty$ address empty$ and
-            { skip$ }
-            { ", " * }
-          if$
-          month empty$
-            { year empty$
-                { skip$ }
-                { year "year" bibinfo.check * }
-              if$
-            }
-            { month "month" bibinfo.check *
-              year empty$
-                 { skip$ }
-                 { " " * year "year" bibinfo.check * }
-              if$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-FUNCTION {format.names}
-{ 'bibinfo :=
-  duplicate$ empty$ 'skip$ {
-  this.to.prev.status
-  this.status.std
-  's :=
-  "" 't :=
-  #1 'nameptr :=
-  s num.names$ 'numnames :=
-  numnames 'namesleft :=
-    { namesleft #0 > }
-    { s nameptr
-      name.format.string
-      format.name$
-      bibinfo bibinfo.check
-      't :=
-      nameptr #1 >
-        { nameptr num.names.shown.with.forced.et.al #1 + =
-          numnames max.num.names.before.forced.et.al >
-          is.forced.et.al and and
-            { "others" 't :=
-              #1 'namesleft :=
-            }
-            { skip$ }
-          if$
-          namesleft #1 >
-            { ", " * t do.name.latex.cmd * }
-            { s nameptr "{ll}" format.name$ duplicate$ "others" =
-                { 't := }
-                { pop$ }
-              if$
-              t "others" =
-                { " " * bbl.etal emphasize * }
-                { numnames #2 >
-                    { "," * }
-                    { skip$ }
-                  if$
-                  bbl.and
-                  space.word * t do.name.latex.cmd *
-                }
-              if$
-            }
-          if$
-        }
-        { t do.name.latex.cmd }
-      if$
-      nameptr #1 + 'nameptr :=
-      namesleft #1 - 'namesleft :=
-    }
-  while$
-  cap.status.std
-  } if$
-}
-
-
-
-
-%% Higher Level Formats
-
-%% addresses/locations
-
-FUNCTION {format.address}
-{ address duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% author/editor names
-
-FUNCTION {format.authors}{ author "author" format.names }
-
-FUNCTION {format.editors}
-{ editor "editor" format.names duplicate$ empty$ 'skip$
-    { ", " *
-      get.bbl.editor
-      capitalize
-      *
-    }
-  if$
-}
-
-
-
-%% date
-
-FUNCTION {format.date}
-{
-  month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 'skip$
-        { this.to.prev.status
-          this.status.std
-          cap.status.std
-         "there's a month but no year in " cite$ * warning$ }
-      if$
-      *
-    }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      swap$ 'skip$
-        {
-          swap$
-          " " * swap$
-        }
-      if$
-      *
-    }
-  if$
-}
-
-FUNCTION {format.date.electronic}
-{ month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 
-        { pop$ }
-        { "there's a month but no year in " cite$ * warning$
-        pop$ ")" * "(" swap$ *
-        this.to.prev.status
-        punct.no 'this.status.punct :=
-        space.normal 'this.status.space :=
-        quote.no 'this.status.quote :=
-        cap.yes  'status.cap :=
-        }
-      if$
-    }
-    { swap$ 
-        { swap$ pop$ ")" * "(" swap$ * }
-        { "(" swap$ * ", " * swap$ * ")" * }
-      if$
-    this.to.prev.status
-    punct.no 'this.status.punct :=
-    space.normal 'this.status.space :=
-    quote.no 'this.status.quote :=
-    cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% edition/title
-
-% Note: IEEE considers the edition to be closely associated with
-% the title of a book. So, in IEEEtran.bst the edition is normally handled 
-% within the formatting of the title. The format.edition function is 
-% retained here for possible future use.
-FUNCTION {format.edition}
-{ edition duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      convert.edition
-      status.cap
-        { "t" }
-        { "l" }
-      if$ change.case$
-      "edition" bibinfo.check
-      "~" * bbl.edition *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of a conference proceedings.
-% Here we use the "intype" field to provide the user a way to 
-% override the word "in" (e.g., with things like "presented at")
-% Use of intype stops the emphasis of the booktitle to indicate that
-% we no longer mean the written conference proceedings, but the
-% conference itself.
-FUNCTION {format.in.booktitle}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      intype missing$
-        { emphasize
-          bbl.in " " *
-        }
-        { intype " " * }
-      if$
-      swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of collection.
-% Here the "intype" field is not supported, but "edition" is.
-FUNCTION {format.in.booktitle.edition}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          "l" change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      bbl.in " " * swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      "t" change.case$
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { quote.close 'this.status.quote :=
-      is.last.char.not.punct
-        { punct.std 'this.status.punct := }
-        { punct.no 'this.status.punct := }
-      if$
-      select.language
-      "``" swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title.electronic}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      "t" change.case$ 
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 
-    { skip$ } 
-    { select.language }
-  if$
-}
-
-FUNCTION {format.book.title.edition}
-{ title "title" bibinfo.check
-  duplicate$ empty$
-    { "empty title in " cite$ * warning$ }
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          status.cap
-            { "t" }
-            { "l" }
-          if$
-          change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.book.title}
-{ title "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% journal
-
-FUNCTION {format.journal}
-{ journal duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% how published
-
-FUNCTION {format.howpublished}
-{ howpublished duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% institutions/organization/publishers/school
-
-FUNCTION {format.institution}
-{ institution duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.organization}
-{ organization duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.address.publisher.date}
-{ publisher "publisher" bibinfo.warn format.address.org.or.pub.date }
-
-FUNCTION {format.address.publisher.date.nowarn}
-{ publisher "publisher" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.address.organization.date}
-{ organization "organization" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.school}
-{ school duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% volume/number/series/chapter/pages
-
-FUNCTION {format.volume}
-{ volume empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      bbl.volume 
-      status.cap
-        { capitalize }
-        { skip$ }
-      if$
-      swap$ tie.or.space.prefix
-      "volume" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number}
-{ number empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      status.cap
-         { bbl.number capitalize }
-         { bbl.number }
-       if$
-      swap$ tie.or.space.prefix
-      "number" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number.if.use.for.article}
-{ is.use.number.for.article 
-     { format.number }
-     { "" }
-   if$
-}
-
-% IEEE does not seem to tie the series so closely with the volume
-% and number as is done in other bibliography styles. Instead the
-% series is treated somewhat like an extension of the title.
-FUNCTION {format.series}
-{ series empty$ 
-   { "" }
-   { this.to.prev.status
-     this.status.std
-     bbl.series " " *
-     series "series" bibinfo.check *
-     cap.status.std
-   }
- if$
-}
-
-
-FUNCTION {format.chapter}
-{ chapter empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      type empty$
-        { bbl.chapter }
-        { type "l" change.case$
-          "type" bibinfo.check
-        }
-      if$
-      chapter tie.or.space.prefix
-      "chapter" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-% The intended use of format.paper is for paper numbers of inproceedings.
-% The paper type can be overridden via the type field.
-% We allow the type to be displayed even if the paper number is absent
-% for things like "postdeadline paper"
-FUNCTION {format.paper}
-{ is.use.paper
-     { paper empty$
-        { type empty$
-            { "" }
-            { this.to.prev.status
-              this.status.std
-              type "type" bibinfo.check
-              cap.status.std
-            }
-          if$
-        }
-        { this.to.prev.status
-          this.status.std
-          type empty$
-            { bbl.paper }
-            { type "type" bibinfo.check }
-          if$
-          " " * paper
-          "paper" bibinfo.check
-          *
-          cap.status.std
-        }
-      if$
-     }
-     { "" } 
-   if$
-}
-
-
-FUNCTION {format.pages}
-{ pages duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      duplicate$ is.multiple.pages
-        {
-          bbl.pages swap$
-          n.dashify
-        }
-        {
-          bbl.page swap$
-        }
-      if$
-      tie.or.space.prefix
-      "pages" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% technical report number
-
-FUNCTION {format.tech.report.number}
-{ number "number" bibinfo.check
-  this.to.prev.status
-  this.status.std
-  cap.status.std
-  type duplicate$ empty$
-    { pop$ 
-      bbl.techrep
-    }
-    { skip$ }
-  if$
-  "type" bibinfo.check 
-  swap$ duplicate$ empty$
-    { pop$ }
-    { tie.or.space.prefix * * }
-  if$
-}
-
-
-
-%% note
-
-FUNCTION {format.note}
-{ note empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      punct.period 'this.status.punct :=
-      note #1 #1 substring$
-      duplicate$ "{" =
-        { skip$ }
-        { status.cap
-          { "u" }
-          { "l" }
-        if$
-        change.case$
-        }
-      if$
-      note #2 global.max$ substring$ * "note" bibinfo.check
-      cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% patent
-
-FUNCTION {format.patent.date}
-{ this.to.prev.status
-  this.status.std
-  year empty$
-    { monthfiled duplicate$ empty$
-        { "monthfiled" bibinfo.check pop$ "" }
-        { "monthfiled" bibinfo.check }
-      if$
-      dayfiled duplicate$ empty$
-        { "dayfiled" bibinfo.check pop$ "" * }
-        { "dayfiled" bibinfo.check 
-          monthfiled empty$ 
-             { "dayfiled without a monthfiled in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      yearfiled empty$
-        { "no year or yearfiled in " cite$ * warning$ }
-        { yearfiled "yearfiled" bibinfo.check 
-          swap$
-          duplicate$ empty$
-             { pop$ }
-             { ", " * swap$ * }
-           if$
-        }
-      if$
-    }
-    { month duplicate$ empty$
-        { "month" bibinfo.check pop$ "" }
-        { "month" bibinfo.check }
-      if$
-      day duplicate$ empty$
-        { "day" bibinfo.check pop$ "" * }
-        { "day" bibinfo.check 
-          month empty$ 
-             { "day without a month in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      year "year" bibinfo.check 
-      swap$
-      duplicate$ empty$
-        { pop$ }
-        { ", " * swap$ * }
-      if$
-    }
-  if$
-  cap.status.std
-}
-
-FUNCTION {format.patent.nationality.type.number}
-{ this.to.prev.status
-  this.status.std
-  nationality duplicate$ empty$
-    { "nationality" bibinfo.warn pop$ "" }
-    { "nationality" bibinfo.check
-      duplicate$ "l" change.case$ "united states" =
-        { pop$ bbl.patentUS }
-        { skip$ }
-      if$
-      " " *
-    }
-  if$
-  type empty$
-    { bbl.patent "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.warn pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-
-
-%% standard
-
-FUNCTION {format.organization.institution.standard.type.number}
-{ this.to.prev.status
-  this.status.std
-  organization duplicate$ empty$
-    { pop$ 
-      institution duplicate$ empty$
-        { "institution" bibinfo.warn }
-        { "institution" bibinfo.warn " " * }
-      if$
-    }
-    { "organization" bibinfo.warn " " * }
-  if$
-  type empty$
-    { bbl.standard "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.check pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-FUNCTION {format.revision}
-{ revision empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      bbl.revision
-      revision tie.or.space.prefix
-      "revision" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-%% thesis
-
-FUNCTION {format.master.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.mthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-FUNCTION {format.phd.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.phdthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-
-
-%% URL
-
-FUNCTION {format.url}
-{ url empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      cap.yes 'status.cap :=
-      name.url.prefix " " *
-      "\url{" * url * "}" *
-      punct.no 'this.status.punct :=
-      punct.period 'prev.status.punct :=
-      space.normal 'this.status.space :=
-      space.normal 'prev.status.space :=
-      quote.no 'this.status.quote :=
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%
-%% ENTRY HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%
-
-
-% Note: In many journals, IEEE (or the authors) tend not to show the number
-% for articles, so the display of the number is controlled here by the
-% switch "is.use.number.for.article"
-FUNCTION {article}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.journal "journal" bibinfo.check "journal" output.warn
-  format.volume output
-  format.number.if.use.for.article output
-  format.pages output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {book}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  author empty$
-    { skip$ }
-    { format.editors output }
-  if$
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {booklet}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {electronic}
-{ std.status.using.period
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.date.electronic output
-  format.article.title.electronic output
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inbook}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {incollection}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle.edition "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.address.publisher.date.nowarn output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inproceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.paper output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {manual}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title.edition "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {mastersthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.master.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {misc}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.pages output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {patent}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.patent.nationality.type.number output
-  format.patent.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {periodical}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  format.organization "organization" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {phdthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.phd.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {proceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {standard}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization.institution.standard.type.number output
-  format.revision output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {techreport}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.institution "institution" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.tech.report.number output.nonnull
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {unpublished}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.date output
-  format.note "note" output.warn
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-
-% The special entry type which provides the user interface to the
-% BST controls
-FUNCTION {IEEEtranBSTCTL}
-{ is.print.banners.to.terminal
-    { "** IEEEtran BST control entry " quote$ * cite$ * quote$ * " detected." *
-      top$
-    }
-    { skip$ }
-  if$
-  CTLuse_article_number
-  empty$
-    { skip$ }
-    { CTLuse_article_number
-      yes.no.to.int
-      'is.use.number.for.article :=
-    }
-  if$
-  CTLuse_paper
-  empty$
-    { skip$ }
-    { CTLuse_paper
-      yes.no.to.int
-      'is.use.paper :=
-    }
-  if$
-  CTLuse_forced_etal
-  empty$
-    { skip$ }
-    { CTLuse_forced_etal
-      yes.no.to.int
-      'is.forced.et.al :=
-    }
-  if$
-  CTLmax_names_forced_etal
-  empty$
-    { skip$ }
-    { CTLmax_names_forced_etal
-      string.to.integer
-      'max.num.names.before.forced.et.al :=
-    }
-  if$
-  CTLnames_show_etal
-  empty$
-    { skip$ }
-    { CTLnames_show_etal
-      string.to.integer
-      'num.names.shown.with.forced.et.al :=
-    }
-  if$
-  CTLuse_alt_spacing
-  empty$
-    { skip$ }
-    { CTLuse_alt_spacing
-      yes.no.to.int
-      'is.use.alt.interword.spacing :=
-    }
-  if$
-  CTLalt_stretch_factor
-  empty$
-    { skip$ }
-    { CTLalt_stretch_factor
-      'ALTinterwordstretchfactor :=
-      "\renewcommand{\BIBentryALTinterwordstretchfactor}{"
-      ALTinterwordstretchfactor * "}" *
-      write$ newline$
-    }
-  if$
-  CTLdash_repeated_names
-  empty$
-    { skip$ }
-    { CTLdash_repeated_names
-      yes.no.to.int
-      'is.dash.repeated.names :=
-    }
-  if$
-  CTLname_format_string
-  empty$
-    { skip$ }
-    { CTLname_format_string
-      'name.format.string :=
-    }
-  if$
-  CTLname_latex_cmd
-  empty$
-    { skip$ }
-    { CTLname_latex_cmd
-      'name.latex.cmd :=
-    }
-  if$
-  CTLname_url_prefix
-  missing$
-    { skip$ }
-    { CTLname_url_prefix
-      'name.url.prefix :=
-    }
-  if$
-
-
-  num.names.shown.with.forced.et.al max.num.names.before.forced.et.al >
-    { "CTLnames_show_etal cannot be greater than CTLmax_names_forced_etal in " cite$ * warning$ 
-      max.num.names.before.forced.et.al 'num.names.shown.with.forced.et.al :=
-    }
-    { skip$ }
-  if$
-}
-
-
-%%%%%%%%%%%%%%%%%%%
-%% ENTRY ALIASES %%
-%%%%%%%%%%%%%%%%%%%
-FUNCTION {conference}{inproceedings}
-FUNCTION {online}{electronic}
-FUNCTION {internet}{electronic}
-FUNCTION {webpage}{electronic}
-FUNCTION {www}{electronic}
-FUNCTION {default.type}{misc}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% MAIN PROGRAM %%
-%%%%%%%%%%%%%%%%%%
-
-READ
-
-EXECUTE {initialize.controls}
-EXECUTE {initialize.status.constants}
-EXECUTE {banner.message}
-
-EXECUTE {initialize.longest.label}
-ITERATE {longest.label.pass}
-
-EXECUTE {begin.bib}
-ITERATE {call.type$}
-EXECUTE {end.bib}
-
-EXECUTE{completed.message}
-
-
-%% That's all folks, mds.
diff --git a/mpi-energy2-extension/IEEEtran.cls b/mpi-energy2-extension/IEEEtran.cls
deleted file mode 100644
index f3a8b5b..0000000
--- a/mpi-energy2-extension/IEEEtran.cls
+++ /dev/null
@@ -1,4733 +0,0 @@
-%%
-%% IEEEtran.cls 2011/11/03 version V1.8 based on
-%% IEEEtran.cls 2007/03/05 version V1.7a
-%% The changes in V1.8 are made with a single goal in mind:
-%% to change the look of the output using the [conference] option
-%% and the default font size (10pt) to match the Word template more closely.
-%% These changes may well have undesired side effects when other options
-%% are in force!
-%% 
-%% 
-%% This is the official IEEE LaTeX class for authors of the Institute of 
-%% Electrical and Electronics Engineers (IEEE) Transactions journals and
-%% conferences.
-%% 
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-%%
-%% Based on the original 1993 IEEEtran.cls, but with many bug fixes
-%% and enhancements (from both JVH and MDS) over the 1996/7 version.
-%%
-%%
-%% Contributors:
-%% Gerry Murray (1993), Silvano Balemi (1993),
-%% Jon Dixon (1996), Peter N"uchter (1996),
-%% Juergen von Hagen (2000), and Michael Shell (2001-2007)
-%% 
-%% 
-%% Copyright (c) 1993-2000 by Gerry Murray, Silvano Balemi, 
-%%                         Jon Dixon, Peter N"uchter,
-%%                         Juergen von Hagen
-%%                         and
-%% Copyright (c) 2001-2007 by Michael Shell
-%%
-%% Current maintainer (V1.3 to V1.7): Michael Shell
-%%                                    See:
-%%                                    http://www.michaelshell.org/
-%%                                    for current contact information.
-%%
-%% Special thanks to Peter Wilson (CUA) and Donald Arseneau
-%% for allowing the inclusion of the \@ifmtarg command 
-%% from their ifmtarg LaTeX package. 
-%% 
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%% 
-%% Major changes to the user interface should be indicated by an 
-%% increase in the version numbers. If a version is a beta, it will 
-%% be indicated with a BETA suffix, i.e., 1.4 BETA.
-%% Small changes can be indicated by appending letters to the version
-%% such as "IEEEtran_v14a.cls".
-%% In all cases, \Providesclass, any \typeout messages to the user,
-%% \IEEEtransversionmajor and \IEEEtransversionminor must reflect the
-%% correct version information.
-%% The changes should also be documented via source comments.
-%%*************************************************************************
-%%
-%
-% Available class options 
-% e.g., \documentclass[10pt,conference]{IEEEtran} 
-% 
-%             *** choose only one from each category ***
-%
-% 9pt, 10pt, 11pt, 12pt
-%    Sets normal font size. The default is 10pt.
-% 
-% conference, journal, technote, peerreview, peerreviewca
-%    determines format mode - conference papers, journal papers,
-%    correspondence papers (technotes), or peer review papers. The user
-%    should also select 9pt when using technote. peerreview is like
-%    journal mode, but provides for a single-column "cover" title page for
-%    anonymous peer review. The paper title (without the author names) is
-%    repeated at the top of the page after the cover page. For peer review
-%    papers, the \IEEEpeerreviewmaketitle command must be executed (will
-%    automatically be ignored for non-peerreview modes) at the place the
-%    cover page is to end, usually just after the abstract (keywords are
-%    not normally used with peer review papers). peerreviewca is like
-%    peerreview, but allows the author names to be entered and formatted
-%    as with conference mode so that author affiliation and contact
-%    information can be easily seen on the cover page.
-%    The default is journal.
-%
-% draft, draftcls, draftclsnofoot, final
-%    determines if paper is formatted as a widely spaced draft (for
-%    handwritten editor comments) or as a properly typeset final version.
-%    draftcls restricts draft mode to the class file while all other LaTeX
-%    packages (i.e., \usepackage{graphicx}) will behave as final - allows
-%    for a draft paper with visible figures, etc. draftclsnofoot is like
-%    draftcls, but does not display the date and the word "DRAFT" at the foot
-%    of the pages. If using one of the draft modes, the user will probably
-%    also want to select onecolumn.
-%    The default is final.
-%
-% letterpaper, a4paper
-%    determines paper size: 8.5in X 11in or 210mm X 297mm. CHANGING THE PAPER
-%    SIZE WILL NOT ALTER THE TYPESETTING OF THE DOCUMENT - ONLY THE MARGINS
-%    WILL BE AFFECTED. In particular, documents using the a4paper option will
-%    have reduced side margins (A4 is narrower than US letter) and a longer
-%    bottom margin (A4 is longer than US letter). For both cases, the top
-%    margins will be the same and the text will be horizontally centered. 
-%    For final submission to IEEE, authors should use US letter (8.5 X 11in)
-%    paper. Note that authors should ensure that all post-processing 
-%    (ps, pdf, etc.) uses the same paper specificiation as the .tex document.
-%    Problems here are by far the number one reason for incorrect margins.
-%    IEEEtran will automatically set the default paper size under pdflatex 
-%    (without requiring a change to pdftex.cfg), so this issue is more
-%    important to dvips users. Fix config.ps, config.pdf, or ~/.dvipsrc for
-%    dvips, or use the dvips -t papersize option instead as needed. See the
-%    testflow documentation
-%    http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/testflow
-%    for more details on dvips paper size configuration.
-%    The default is letterpaper.
-%
-% oneside, twoside
-%    determines if layout follows single sided or two sided (duplex)
-%    printing. The only notable change is with the headings at the top of
-%    the pages.
-%    The default is oneside.
-%
-% onecolumn, twocolumn
-%    determines if text is organized into one or two columns per page. One
-%    column mode is usually used only with draft papers.
-%    The default is twocolumn.
-%
-% compsoc
-%    Use the format of the IEEE Computer Society.
-%
-% romanappendices
-%    Use the "Appendix I" convention when numbering appendices. IEEEtran.cls
-%    now defaults to Alpha "Appendix A" convention - the opposite of what
-%    v1.6b and earlier did.
-%
-% captionsoff
-%    disables the display of the figure/table captions. Some IEEE journals
-%    request that captions be removed and figures/tables be put on pages
-%    of their own at the end of an initial paper submission. The endfloat
-%    package can be used with this class option to achieve this format.
-%
-% nofonttune
-%    turns off tuning of the font interword spacing. Maybe useful to those
-%    not using the standard Times fonts or for those who have already "tuned"
-%    their fonts.
-%    The default is to enable IEEEtran to tune font parameters.
-%
-%
-%----------
-% Available CLASSINPUTs provided (all are macros unless otherwise noted):
-% \CLASSINPUTbaselinestretch
-% \CLASSINPUTinnersidemargin
-% \CLASSINPUToutersidemargin
-% \CLASSINPUTtoptextmargin
-% \CLASSINPUTbottomtextmargin
-%
-% Available CLASSINFOs provided:
-% \ifCLASSINFOpdf                       (TeX if conditional)
-% \CLASSINFOpaperwidth                  (macro)
-% \CLASSINFOpaperheight                 (macro)
-% \CLASSINFOnormalsizebaselineskip      (length)
-% \CLASSINFOnormalsizeunitybaselineskip (length)
-%
-% Available CLASSOPTIONs provided:
-% all class option flags (TeX if conditionals) unless otherwise noted,
-% e.g., \ifCLASSOPTIONcaptionsoff
-% point size options provided as a single macro:
-% \CLASSOPTIONpt
-% which will be defined as 9, 10, 11, or 12 depending on the document's
-% normalsize point size.
-% also, class option peerreviewca implies the use of class option peerreview
-% and classoption draft implies the use of class option draftcls
-
-
-
-
-
-\ProvidesClass{IEEEtran}[2012/11/21 V1.8c by Harald Hanche-Olsen and Anders Christensen]
-\typeout{-- Based on V1.7a by Michael Shell}
-\typeout{-- See the "IEEEtran_HOWTO" manual for usage information.}
-\typeout{-- http://www.michaelshell.org/tex/ieeetran/}
-\NeedsTeXFormat{LaTeX2e}
-
-% IEEEtran.cls version numbers, provided as of V1.3
-% These values serve as a way a .tex file can
-% determine if the new features are provided.
-% The version number of this IEEEtrans.cls can be obtained from 
-% these values. i.e., V1.4
-% KEEP THESE AS INTEGERS! i.e., NO {4a} or anything like that-
-% (no need to enumerate "a" minor changes here)
-\def\IEEEtransversionmajor{1}
-\def\IEEEtransversionminor{7}
-
-% These do nothing, but provide them like in article.cls
-\newif\if@restonecol
-\newif\if@titlepage
-
-
-% class option conditionals
-\newif\ifCLASSOPTIONonecolumn       \CLASSOPTIONonecolumnfalse
-\newif\ifCLASSOPTIONtwocolumn       \CLASSOPTIONtwocolumntrue
-
-\newif\ifCLASSOPTIONoneside         \CLASSOPTIONonesidetrue
-\newif\ifCLASSOPTIONtwoside         \CLASSOPTIONtwosidefalse
-
-\newif\ifCLASSOPTIONfinal           \CLASSOPTIONfinaltrue
-\newif\ifCLASSOPTIONdraft           \CLASSOPTIONdraftfalse
-\newif\ifCLASSOPTIONdraftcls        \CLASSOPTIONdraftclsfalse
-\newif\ifCLASSOPTIONdraftclsnofoot  \CLASSOPTIONdraftclsnofootfalse
-
-\newif\ifCLASSOPTIONpeerreview      \CLASSOPTIONpeerreviewfalse
-\newif\ifCLASSOPTIONpeerreviewca    \CLASSOPTIONpeerreviewcafalse
-
-\newif\ifCLASSOPTIONjournal         \CLASSOPTIONjournaltrue
-\newif\ifCLASSOPTIONconference      \CLASSOPTIONconferencefalse
-\newif\ifCLASSOPTIONtechnote        \CLASSOPTIONtechnotefalse
-
-\newif\ifCLASSOPTIONnofonttune      \CLASSOPTIONnofonttunefalse
-
-\newif\ifCLASSOPTIONcaptionsoff     \CLASSOPTIONcaptionsofffalse
-
-\newif\ifCLASSOPTIONcompsoc         \CLASSOPTIONcompsocfalse
-
-\newif\ifCLASSOPTIONromanappendices \CLASSOPTIONromanappendicesfalse
-
-
-% class info conditionals
-
-% indicates if pdf (via pdflatex) output
-\newif\ifCLASSINFOpdf               \CLASSINFOpdffalse
-
-
-% V1.6b internal flag to show if using a4paper
-\newif\if@IEEEusingAfourpaper       \@IEEEusingAfourpaperfalse
-
-
-
-% IEEEtran class scratch pad registers
-% dimen
-\newdimen\@IEEEtrantmpdimenA
-\newdimen\@IEEEtrantmpdimenB
-% count
-\newcount\@IEEEtrantmpcountA
-\newcount\@IEEEtrantmpcountB
-% token list
-\newtoks\@IEEEtrantmptoksA
-
-% we use \CLASSOPTIONpt so that we can ID the point size (even for 9pt docs)
-% as well as LaTeX's \@ptsize to retain some compatability with some
-% external packages
-\def\@ptsize{0}
-% LaTeX does not support 9pt, so we set \@ptsize to 0 - same as that of 10pt
-\DeclareOption{9pt}{\def\CLASSOPTIONpt{9}\def\@ptsize{0}}
-\DeclareOption{10pt}{\def\CLASSOPTIONpt{10}\def\@ptsize{0}}
-\DeclareOption{11pt}{\def\CLASSOPTIONpt{11}\def\@ptsize{1}}
-\DeclareOption{12pt}{\def\CLASSOPTIONpt{12}\def\@ptsize{2}}
-
-
-
-\DeclareOption{letterpaper}{\setlength{\paperheight}{11in}%
-                            \setlength{\paperwidth}{8.5in}%
-                            \@IEEEusingAfourpaperfalse
-                            \def\CLASSOPTIONpaper{letter}%
-                            \def\CLASSINFOpaperwidth{8.5in}%
-                            \def\CLASSINFOpaperheight{11in}}
-
-
-\DeclareOption{a4paper}{\setlength{\paperheight}{297mm}%
-                        \setlength{\paperwidth}{210mm}%
-                        \@IEEEusingAfourpapertrue
-                        \def\CLASSOPTIONpaper{a4}%
-                        \def\CLASSINFOpaperwidth{210mm}%
-                        \def\CLASSINFOpaperheight{297mm}}
-
-\DeclareOption{oneside}{\@twosidefalse\@mparswitchfalse
-                        \CLASSOPTIONonesidetrue\CLASSOPTIONtwosidefalse}
-\DeclareOption{twoside}{\@twosidetrue\@mparswitchtrue
-                        \CLASSOPTIONtwosidetrue\CLASSOPTIONonesidefalse}
-
-\DeclareOption{onecolumn}{\CLASSOPTIONonecolumntrue\CLASSOPTIONtwocolumnfalse}
-\DeclareOption{twocolumn}{\CLASSOPTIONtwocolumntrue\CLASSOPTIONonecolumnfalse}
-
-% If the user selects draft, then this class AND any packages
-% will go into draft mode.
-\DeclareOption{draft}{\CLASSOPTIONdrafttrue\CLASSOPTIONdraftclstrue
-                      \CLASSOPTIONdraftclsnofootfalse} 
-% draftcls is for a draft mode which will not affect any packages
-% used by the document.
-\DeclareOption{draftcls}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue
-                         \CLASSOPTIONdraftclsnofootfalse} 
-% draftclsnofoot is like draftcls, but without the footer.
-\DeclareOption{draftclsnofoot}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue
-                               \CLASSOPTIONdraftclsnofoottrue} 
-\DeclareOption{final}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclsfalse
-                      \CLASSOPTIONdraftclsnofootfalse}
-
-\DeclareOption{journal}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                        \CLASSOPTIONjournaltrue\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{conference}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                           \CLASSOPTIONjournalfalse\CLASSOPTIONconferencetrue\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{technote}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                         \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotetrue}
-
-\DeclareOption{peerreview}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcafalse
-                           \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{peerreviewca}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcatrue
-                             \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{nofonttune}{\CLASSOPTIONnofonttunetrue}
-
-\DeclareOption{captionsoff}{\CLASSOPTIONcaptionsofftrue}
-
-\DeclareOption{compsoc}{\CLASSOPTIONcompsoctrue}
-
-\DeclareOption{romanappendices}{\CLASSOPTIONromanappendicestrue}
-
-
-% default to US letter paper, 10pt, twocolumn, one sided, final, journal
-\ExecuteOptions{letterpaper,10pt,twocolumn,oneside,final,journal}
-% overrride these defaults per user requests
-\ProcessOptions
-
-
-
-% Computer Society conditional execution command
-\long\def\@IEEEcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\relax#1\relax\fi\relax}
-% inverse
-\long\def\@IEEEnotcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\else\relax#1\relax\fi\relax}
-% compsoc conference
-\long\def\@IEEEcompsocconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\relax#1\relax\fi\fi\relax}
-% compsoc not conference
-\long\def\@IEEEcompsocnotconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\else\relax#1\relax\fi\fi\relax}
-
-
-% IEEE uses Times Roman font, so we'll default to Times.
-% These three commands make up the entire times.sty package.
-\renewcommand{\sfdefault}{phv}
-\renewcommand{\rmdefault}{ptm}
-\renewcommand{\ttdefault}{pcr}
-
-\@IEEEcompsoconly{\typeout{-- Using IEEE Computer Society mode.}}
-
-% V1.7 compsoc nonconference papers, use Palatino/Palladio as the main text font,
-% not Times Roman.
-\@IEEEcompsocnotconfonly{\renewcommand{\rmdefault}{ppl}}
-
-% enable Times/Palatino main text font
-\normalfont\selectfont
-
-
-
-
-
-% V1.7 conference notice message hook
-\def\@IEEEconsolenoticeconference{\typeout{}%
-\typeout{** Conference Paper **}%
-\typeout{Before submitting the final camera ready copy, remember to:}%
-\typeout{}%
-\typeout{ 1. Manually equalize the lengths of two columns on the last page}%
-\typeout{ of your paper;}%
-\typeout{}%
-\typeout{ 2. Ensure that any PostScript and/or PDF output post-processing}%
-\typeout{ uses only Type 1 fonts and that every step in the generation}%
-\typeout{ process uses the appropriate paper size.}%
-\typeout{}}
-
-
-% we can send console reminder messages to the user here
-\AtEndDocument{\ifCLASSOPTIONconference\@IEEEconsolenoticeconference\fi}
-
-
-% warn about the use of single column other than for draft mode
-\ifCLASSOPTIONtwocolumn\else%
-  \ifCLASSOPTIONdraftcls\else%
-   \typeout{** ATTENTION: Single column mode is not typically used with IEEE publications.}%
-  \fi%
-\fi
-
-
-% V1.7 improved paper size setting code.
-% Set pdfpage and dvips paper sizes. Conditional tests are similar to that
-% of ifpdf.sty. Retain within {} to ensure tested macros are never altered,
-% even if only effect is to set them to \relax.
-% if \pdfoutput is undefined or equal to relax, output a dvips special
-{\@ifundefined{pdfoutput}{\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}}{%
-% pdfoutput is defined and not equal to \relax
-% check for pdfpageheight existence just in case someone sets pdfoutput
-% under non-pdflatex. If exists, set them regardless of value of \pdfoutput.
-\@ifundefined{pdfpageheight}{\relax}{\global\pdfpagewidth\paperwidth
-\global\pdfpageheight\paperheight}%
-% if using \pdfoutput=0 under pdflatex, send dvips papersize special
-\ifcase\pdfoutput
-\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}%
-\else
-% we are using pdf output, set CLASSINFOpdf flag
-\global\CLASSINFOpdftrue
-\fi}}
-
-% let the user know the selected papersize
-\typeout{-- Using \CLASSINFOpaperwidth\space x \CLASSINFOpaperheight\space
-(\CLASSOPTIONpaper)\space paper.}
-
-\ifCLASSINFOpdf
-\typeout{-- Using PDF output.}
-\else
-\typeout{-- Using DVI output.}
-\fi
-
-
-% The idea hinted here is for LaTeX to generate markleft{} and markright{}
-% automatically for you after you enter \author{}, \journal{},
-% \journaldate{}, journalvol{}, \journalnum{}, etc.
-% However, there may be some backward compatibility issues here as
-% well as some special applications for IEEEtran.cls and special issues
-% that may require the flexible \markleft{}, \markright{} and/or \markboth{}.
-% We'll leave this as an open future suggestion.
-%\newcommand{\journal}[1]{\def\@journal{#1}}
-%\def\@journal{}
-
-
-
-% pointsize values
-% used with ifx to determine the document's normal size
-\def\@IEEEptsizenine{9}
-\def\@IEEEptsizeten{10}
-\def\@IEEEptsizeeleven{11}
-\def\@IEEEptsizetwelve{12}
-
-
-
-% FONT DEFINITIONS (No sizexx.clo file needed) 
-% V1.6 revised font sizes, displayskip values and
-%      revised normalsize baselineskip to reduce underfull vbox problems
-%      on the 58pc = 696pt = 9.5in text height we want
-%      normalsize     #lines/column  baselineskip (aka leading)
-%             9pt     63             11.0476pt (truncated down)
-%            10pt     58             12pt      (exact)
-%            11pt     52             13.3846pt (truncated down)
-%            12pt     50             13.92pt   (exact)
-%
-
-% we need to store the nominal baselineskip for the given font size
-% in case baselinestretch ever changes.
-% this is a dimen, so it will not hold stretch or shrink
-\newdimen\@IEEEnormalsizeunitybaselineskip
-\@IEEEnormalsizeunitybaselineskip\baselineskip
-
-\ifx\CLASSOPTIONpt\@IEEEptsizenine
-\typeout{-- This is a 9 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{9}{11.0476pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{11.0476pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus3pt minus1pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus3pt%
-\belowdisplayshortskip 1.5ex plus3pt minus1pt
-\def\small{\@setfontsize{\small}{8.5}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is the same as large - 10pt
-\def\sublargesize{\@setfontsize{\sublargesize}{10}{12pt}}
-\def\large{\@setfontsize{\large}{10}{12pt}}
-\def\Large{\@setfontsize{\Large}{12}{14pt}}
-\def\LARGE{\@setfontsize{\LARGE}{14}{17pt}}
-\def\huge{\@setfontsize{\huge}{17}{20pt}}
-\def\Huge{\@setfontsize{\Huge}{20}{24pt}}
-\fi
-
-
-% Check if we have selected 10 points
-\ifx\CLASSOPTIONpt\@IEEEptsizeten
-\typeout{-- This is a 10 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{10}{11}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{11pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus4pt minus2pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus4pt%
-\belowdisplayshortskip 1.5ex plus4pt minus2pt
-\def\small{\@setfontsize{\small}{9}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is a tad smaller than large - 11pt
-\def\sublargesize{\@setfontsize{\sublargesize}{11}{13.4pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 11 points
-\ifx\CLASSOPTIONpt\@IEEEptsizeeleven
-\typeout{-- This is an 11 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{11}{13.3846pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{13.3846pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus5pt minus3pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus5pt%
-\belowdisplayshortskip 1.5ex plus5pt minus3pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 12pt
-\def\sublargesize{\@setfontsize{\sublargesize}{12}{14pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 12 points
-\ifx\CLASSOPTIONpt\@IEEEptsizetwelve
-\typeout{-- This is a 12 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{12}{13.92pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{13.92pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus6pt minus4pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus6pt%
-\belowdisplayshortskip 1.5ex plus6pt minus4pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 14pt
-\def\sublargesize{\@setfontsize{\sublargesize}{14}{17pt}}
-\def\large{\@setfontsize{\large}{14}{17pt}}
-\def\Large{\@setfontsize{\Large}{17}{20pt}}
-\def\LARGE{\@setfontsize{\LARGE}{20}{24pt}}
-\def\huge{\@setfontsize{\huge}{22}{26pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% V1.6 The Computer Modern Fonts will issue a substitution warning for
-% 24pt titles (24.88pt is used instead) increase the substitution
-% tolerance to turn off this warning
-\def\fontsubfuzz{.9pt}
-% However, the default (and correct) Times font will scale exactly as needed.
-
-
-% warn the user in case they forget to use the 9pt option with
-% technote
-\ifCLASSOPTIONtechnote%
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\else%
-  \typeout{** ATTENTION: Technotes are normally 9pt documents.}%
- \fi%
-\fi
-
-
-% V1.7
-% Improved \textunderscore to provide a much better fake _ when used with
-% OT1 encoding. Under OT1, detect use of pcr or cmtt \ttfamily and use
-% available true _ glyph for those two typewriter fonts.
-\def\@IEEEstringptm{ptm} % Times Roman family
-\def\@IEEEstringppl{ppl} % Palatino Roman family
-\def\@IEEEstringphv{phv} % Helvetica Sans Serif family
-\def\@IEEEstringpcr{pcr} % Courier typewriter family
-\def\@IEEEstringcmtt{cmtt} % Computer Modern typewriter family
-\DeclareTextCommandDefault{\textunderscore}{\leavevmode
-\ifx\f@family\@IEEEstringpcr\string_\else
-\ifx\f@family\@IEEEstringcmtt\string_\else
-\ifx\f@family\@IEEEstringptm\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else
-\ifx\f@family\@IEEEstringppl\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else
-\ifx\f@family\@IEEEstringphv\kern -0.03em\vbox{\hrule\@width 0.62em\@height 0.52pt\kern -0.33ex}\kern -0.03em\else
-\kern 0.09em\vbox{\hrule\@width 0.6em\@height 0.44pt\kern -0.63pt\kern -0.42ex}\kern 0.09em\fi\fi\fi\fi\fi\relax}
-
-
-
-
-% set the default \baselinestretch
-\def\baselinestretch{1}
-\ifCLASSOPTIONdraftcls
-  \def\baselinestretch{1.5}% default baselinestretch for draft modes
-\fi 
-
-
-% process CLASSINPUT baselinestretch
-\ifx\CLASSINPUTbaselinestretch\@IEEEundefined
-\else
-  \edef\baselinestretch{\CLASSINPUTbaselinestretch} % user CLASSINPUT override
-  \typeout{** ATTENTION: Overriding \string\baselinestretch\space to
-           \baselinestretch\space via \string\CLASSINPUT.}
-\fi
-
-\normalsize % make \baselinestretch take affect
-
-
-
-
-% store the normalsize baselineskip
-\newdimen\CLASSINFOnormalsizebaselineskip
-\CLASSINFOnormalsizebaselineskip=\baselineskip\relax
-% and the normalsize unity (baselinestretch=1) baselineskip
-% we could save a register by giving the user access to
-% \@IEEEnormalsizeunitybaselineskip. However, let's protect
-% its read only internal status
-\newdimen\CLASSINFOnormalsizeunitybaselineskip
-\CLASSINFOnormalsizeunitybaselineskip=\@IEEEnormalsizeunitybaselineskip\relax
-% store the nominal value of jot
-\newdimen\IEEEnormaljot
-\IEEEnormaljot=0.25\baselineskip\relax
-
-% set \jot
-\jot=\IEEEnormaljot\relax
-
-
-
-
-% V1.6, we are now going to fine tune the interword spacing
-% The default interword glue for Times under TeX appears to use a
-% nominal interword spacing of 25% (relative to the font size, i.e., 1em)
-% a maximum of 40% and a minimum of 19%.
-% For example, 10pt text uses an interword glue of:
-% 
-% 2.5pt plus 1.49998pt minus 0.59998pt
-% 
-% However, IEEE allows for a more generous range which reduces the need
-% for hyphenation, especially for two column text. Furthermore, IEEE
-% tends to use a little bit more nominal space between the words.
-% IEEE's interword spacing percentages appear to be:
-% 35% nominal
-% 23% minimum
-% 50% maximum
-% (They may even be using a tad more for the largest fonts such as 24pt.)
-% 
-% for bold text, IEEE increases the spacing a little more:
-% 37.5% nominal
-% 23% minimum
-% 55% maximum
-
-% here are the interword spacing ratios we'll use
-% for medium (normal weight)
-\def\@IEEEinterspaceratioM{0.35}
-\def\@IEEEinterspaceMINratioM{0.23}
-\def\@IEEEinterspaceMAXratioM{0.50}
-
-% for bold
-\def\@IEEEinterspaceratioB{0.375}
-\def\@IEEEinterspaceMINratioB{0.23}
-\def\@IEEEinterspaceMAXratioB{0.55}
-
-
-% command to revise the interword spacing for the current font under TeX:
-% \fontdimen2 = nominal interword space
-% \fontdimen3 = interword stretch
-% \fontdimen4 = interword shrink
-% since all changes to the \fontdimen are global, we can enclose these commands
-% in braces to confine any font attribute or length changes
-\def\@@@IEEEsetfontdimens#1#2#3{{%
-\setlength{\@IEEEtrantmpdimenB}{\f@size pt}% grab the font size in pt, could use 1em instead.
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\fontdimen2\font=\@IEEEtrantmpdimenA\relax
-\addtolength{\@IEEEtrantmpdimenA}{-#2\@IEEEtrantmpdimenB}%
-\fontdimen3\font=-\@IEEEtrantmpdimenA\relax
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\addtolength{\@IEEEtrantmpdimenA}{-#3\@IEEEtrantmpdimenB}%
-\fontdimen4\font=\@IEEEtrantmpdimenA\relax}}
-
-% revise the interword spacing for each font weight
-\def\@@IEEEsetfontdimens{{%
-\mdseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioM}{\@IEEEinterspaceMAXratioM}{\@IEEEinterspaceMINratioM}%
-\bfseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioB}{\@IEEEinterspaceMAXratioB}{\@IEEEinterspaceMINratioB}%
-}}
-
-% revise the interword spacing for each font shape
-% \slshape is not often used for IEEE work and is not altered here. The \scshape caps are
-% already a tad too large in the free LaTeX fonts (as compared to what IEEE uses) so we
-% won't alter these either.
-\def\@IEEEsetfontdimens{{%
-\normalfont
-\@@IEEEsetfontdimens
-\normalfont\itshape
-\@@IEEEsetfontdimens
-}}
-
-% command to revise the interword spacing for each font size (and shape
-% and weight). Only the \rmfamily is done here as \ttfamily uses a 
-% fixed spacing and \sffamily is not used as the main text of IEEE papers.
-\def\@IEEEtunefonts{{\selectfont\rmfamily
-\tiny\@IEEEsetfontdimens
-\scriptsize\@IEEEsetfontdimens
-\footnotesize\@IEEEsetfontdimens
-\small\@IEEEsetfontdimens
-\normalsize\@IEEEsetfontdimens
-\sublargesize\@IEEEsetfontdimens
-\large\@IEEEsetfontdimens
-\LARGE\@IEEEsetfontdimens
-\huge\@IEEEsetfontdimens
-\Huge\@IEEEsetfontdimens}}
-
-% if the nofonttune class option is not given, revise the interword spacing
-% now - in case IEEEtran makes any default length measurements, and make
-% sure all the default fonts are loaded
-\ifCLASSOPTIONnofonttune\else
-\@IEEEtunefonts
-\fi
-
-% and again at the start of the document in case the user loaded different fonts
-\AtBeginDocument{\ifCLASSOPTIONnofonttune\else\@IEEEtunefonts\fi}
-
-
-
-% V1.6 
-% LaTeX is a little to quick to use hyphenations
-% So, we increase the penalty for their use and raise
-% the badness level that triggers an underfull hbox
-% warning. The author may still have to tweak things,
-% but the appearance will be much better "right out
-% of the box" than that under V1.5 and prior.
-% TeX default is 50
-\hyphenpenalty=750
-% If we didn't adjust the interword spacing, 2200 might be better.
-% The TeX default is 1000
-\hbadness=1350
-% IEEE does not use extra spacing after punctuation
-\frenchspacing
-
-% V1.7 increase this a tad to discourage equation breaks
-\binoppenalty=1000 % default 700
-\relpenalty=800     % default 500
-
-
-% margin note stuff
-\marginparsep      10pt
-\marginparwidth    20pt
-\marginparpush     25pt
-
-
-% if things get too close, go ahead and let them touch
-\lineskip            0pt
-\normallineskip      0pt
-\lineskiplimit       0pt
-\normallineskiplimit 0pt
-
-% The distance from the lower edge of the text body to the
-% footline
-\footskip 0.4in
-
-% normally zero, should be relative to font height.
-% put in a little rubber to help stop some bad breaks (underfull vboxes)
-\parskip 0ex plus 0.2ex minus 0.1ex
-\ifCLASSOPTIONconference
-\parskip 6pt plus 2pt minus 1pt
-\fi
-
-\parindent    1.0em
-\ifCLASSOPTIONconference
-\parindent 14.45pt
-\fi
-
-\topmargin    -49.0pt
-\headheight   12pt
-\headsep      0.25in
-
-% use the normal font baselineskip
-% so that \topskip is unaffected by changes in \baselinestretch
-\topskip=\@IEEEnormalsizeunitybaselineskip
-\textheight       58pc  % 9.63in, 696pt
-% Tweak textheight to a perfect integer number of lines/page.
-% The normal baselineskip for each document point size is used 
-% to determine these values.
-\ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=63\@IEEEnormalsizeunitybaselineskip\fi      % 63 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=58\@IEEEnormalsizeunitybaselineskip\fi       % 58 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=52\@IEEEnormalsizeunitybaselineskip\fi    % 52 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=50\@IEEEnormalsizeunitybaselineskip\fi    % 50 lines/page
-
-
-\columnsep       1.5pc
-\textwidth       184.2mm
- 
-
-% the default side margins are equal
-\if@IEEEusingAfourpaper 
-\oddsidemargin        14.32mm
-\evensidemargin       14.32mm
-\else
-\oddsidemargin        0.680in
-\evensidemargin       0.680in
-\fi
-% compensate for LaTeX's 1in offset
-\addtolength{\oddsidemargin}{-1in}
-\addtolength{\evensidemargin}{-1in}
-
-
-
-% adjust margins for conference mode
-\ifCLASSOPTIONconference
- \topmargin        -0.25in
- % we retain the reserved, but unused space for headers
- \addtolength{\topmargin}{-\headheight}
- \addtolength{\topmargin}{-\headsep}
- \textheight        9.25in % The standard for conferences (668.4975pt)
- % Tweak textheight to a perfect integer number of lines/page.
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=61\@IEEEnormalsizeunitybaselineskip\fi      % 61 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=62\@IEEEnormalsizeunitybaselineskip\fi       % 62 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=50\@IEEEnormalsizeunitybaselineskip\fi    % 50 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=48\@IEEEnormalsizeunitybaselineskip\fi    % 48 lines/page
-\fi
-
-
-% compsoc conference
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
- % compsoc conference use a larger value for columnsep
- \columnsep 0.375in
- % compsoc conferences want 1in top margin, 1.125in bottom margin
- \topmargin        0in
- \addtolength{\topmargin}{-6pt}% we tweak this a tad to better comply with top of line stuff
- % we retain the reserved, but unused space for headers
- \addtolength{\topmargin}{-\headheight}
- \addtolength{\topmargin}{-\headsep}
- \textheight        8.875in % (641.39625pt)
- % Tweak textheight to a perfect integer number of lines/page.
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=58\@IEEEnormalsizeunitybaselineskip\fi      % 58 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=53\@IEEEnormalsizeunitybaselineskip\fi       % 53 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=48\@IEEEnormalsizeunitybaselineskip\fi    % 48 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=46\@IEEEnormalsizeunitybaselineskip\fi    % 46 lines/page 
- \textwidth 6.5in
- % the default side margins are equal
- \if@IEEEusingAfourpaper 
-  \oddsidemargin        22.45mm
-  \evensidemargin       22.45mm
- \else
-  \oddsidemargin        1in
-  \evensidemargin       1in
- \fi
- % compensate for LaTeX's 1in offset
- \addtolength{\oddsidemargin}{-1in}
- \addtolength{\evensidemargin}{-1in}
-\fi\fi
-
-
-
-% draft mode settings override that of all other modes
-% provides a nice 1in margin all around the paper and extra
-% space between the lines for editor's comments
-\ifCLASSOPTIONdraftcls 
-  % want 1in from top of paper to text
-  \setlength{\topmargin}{-\headsep}%
-  \addtolength{\topmargin}{-\headheight}%
-  % we want 1in side margins regardless of paper type
-  \oddsidemargin      0in
-  \evensidemargin     0in
-  % set the text width
-  \setlength{\textwidth}{\paperwidth}%
-  \addtolength{\textwidth}{-2.0in}%
-  \setlength{\textheight}{\paperheight}%
-  \addtolength{\textheight}{-2.0in}%
-  % digitize textheight to be an integer number of lines.
-  % this may cause the bottom margin to be off a tad
-  \addtolength{\textheight}{-1\topskip}%
-  \divide\textheight  by \baselineskip%
-  \multiply\textheight  by \baselineskip%
-  \addtolength{\textheight}{\topskip}%
-\fi
-
-
-
-% process CLASSINPUT inner/outer margin
-% if inner margin defined, but outer margin not, set outer to inner.
-\ifx\CLASSINPUTinnersidemargin\@IEEEundefined
-\else
-  \ifx\CLASSINPUToutersidemargin\@IEEEundefined
-    \edef\CLASSINPUToutersidemargin{\CLASSINPUTinnersidemargin}
-  \fi
-\fi
-
-\ifx\CLASSINPUToutersidemargin\@IEEEundefined
-\else
-  % if outer margin defined, but inner margin not, set inner to outer.
-  \ifx\CLASSINPUTinnersidemargin\@IEEEundefined
-    \edef\CLASSINPUTinnersidemargin{\CLASSINPUToutersidemargin}
-  \fi
-  \setlength{\oddsidemargin}{\CLASSINPUTinnersidemargin}
-  \ifCLASSOPTIONtwoside
-    \setlength{\evensidemargin}{\CLASSINPUToutersidemargin}
-  \else
-    \setlength{\evensidemargin}{\CLASSINPUTinnersidemargin}
-  \fi
-  \addtolength{\oddsidemargin}{-1in}
-  \addtolength{\evensidemargin}{-1in}
-  \setlength{\textwidth}{\paperwidth}
-  \addtolength{\textwidth}{-\CLASSINPUTinnersidemargin}
-  \addtolength{\textwidth}{-\CLASSINPUToutersidemargin}
-  \typeout{** ATTENTION: Overriding inner side margin to \CLASSINPUTinnersidemargin\space and 
-           outer side margin to \CLASSINPUToutersidemargin\space via \string\CLASSINPUT.}
-\fi
-
-
-
-% process CLASSINPUT top/bottom text margin
-% if toptext margin defined, but bottomtext margin not, set bottomtext to toptext margin
-\ifx\CLASSINPUTtoptextmargin\@IEEEundefined
-\else
-  \ifx\CLASSINPUTbottomtextmargin\@IEEEundefined
-    \edef\CLASSINPUTbottomtextmargin{\CLASSINPUTtoptextmargin}
-  \fi
-\fi
-
-\ifx\CLASSINPUTbottomtextmargin\@IEEEundefined
-\else
-  % if bottomtext margin defined, but toptext margin not, set toptext to bottomtext margin
-  \ifx\CLASSINPUTtoptextmargin\@IEEEundefined
-    \edef\CLASSINPUTtoptextmargin{\CLASSINPUTbottomtextmargin}
-  \fi
-  \setlength{\topmargin}{\CLASSINPUTtoptextmargin}
-  \addtolength{\topmargin}{-1in}
-  \addtolength{\topmargin}{-\headheight}
-  \addtolength{\topmargin}{-\headsep}
-  \setlength{\textheight}{\paperheight}
-  \addtolength{\textheight}{-\CLASSINPUTtoptextmargin}
-  \addtolength{\textheight}{-\CLASSINPUTbottomtextmargin}
-  % in the default format we use the normal baselineskip as topskip
-  % we only need 0.7 of this to clear typical top text and we need
-  % an extra 0.3 spacing at the bottom for descenders. This will
-  % correct for both.
-  \addtolength{\topmargin}{-0.3\@IEEEnormalsizeunitybaselineskip}
-  \typeout{** ATTENTION: Overriding top text margin to \CLASSINPUTtoptextmargin\space and 
-           bottom text margin to \CLASSINPUTbottomtextmargin\space via \string\CLASSINPUT.}
-\fi
-
-
-
-
-
-
-
-% LIST SPACING CONTROLS
-
-% Controls the amount of EXTRA spacing
-% above and below \trivlist 
-% Both \list and IED lists override this.
-% However, \trivlist will use this as will most
-% things built from \trivlist like the \center
-% environment.
-\topsep           0.5\baselineskip
-
-% Controls the additional spacing around lists preceded
-% or followed by blank lines. IEEE does not increase
-% spacing before or after paragraphs so it is set to zero.
-% \z@ is the same as zero, but faster.
-\partopsep          \z@
-
-% Controls the spacing between paragraphs in lists. 
-% IEEE does not increase spacing before or after paragraphs
-% so this is also zero. 
-% With IEEEtran.cls, global changes to
-% this value DO affect lists (but not IED lists).
-\parsep             \z@
-
-% Controls the extra spacing between list items. 
-% IEEE does not put extra spacing between items.
-% With IEEEtran.cls, global changes to this value DO affect
-% lists (but not IED lists).
-\itemsep            \z@
-
-% \itemindent is the amount to indent the FIRST line of a list
-% item. It is auto set to zero within the \list environment. To alter
-% it, you have to do so when you call the \list.
-% However, IEEE uses this for the theorem environment
-% There is an alternative value for this near \leftmargini below
-\itemindent         -1em
-
-% \leftmargin, the spacing from the left margin of the main text to
-% the left of the main body of a list item is set by \list.
-% Hence this statement does nothing for lists.
-% But, quote and verse do use it for indention.
-\leftmargin         2em
-
-% we retain this stuff from the older IEEEtran.cls so that \list
-% will work the same way as before. However, itemize, enumerate and
-% description (IED) could care less about what these are as they
-% all are overridden.
-\leftmargini        2em
-%\itemindent         2em  % Alternative values: sometimes used.
-%\leftmargini        0em
-\leftmarginii       1em
-\leftmarginiii    1.5em
-\leftmarginiv     1.5em
-\leftmarginv      1.0em
-\leftmarginvi     1.0em
-\labelsep         0.5em 
-\labelwidth         \z@
-
-
-% The old IEEEtran.cls behavior of \list is retained.
-% However, the new V1.3 IED list environments override all the
-% @list stuff (\@listX is called within \list for the
-% appropriate level just before the user's list_decl is called). 
-% \topsep is now 2pt as IEEE puts a little extra space around
-% lists - used by those non-IED macros that depend on \list.
-% Note that \parsep and \itemsep are not redefined as in 
-% the sizexx.clo \@listX (which article.cls uses) so global changes
-% of these values DO affect \list
-% 
-\def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt}
-\let\@listI\@listi
-\def\@listii{\leftmargin\leftmarginii\labelwidth\leftmarginii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiv{\leftmargin\leftmarginiv\labelwidth\leftmarginiv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listv{\leftmargin\leftmarginv\labelwidth\leftmarginv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listvi{\leftmargin\leftmarginvi\labelwidth\leftmarginvi%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-
-
-% IEEE uses 5) not 5.
-\def\labelenumi{\theenumi)}     \def\theenumi{\arabic{enumi}}
-
-% IEEE uses a) not (a)
-\def\labelenumii{\theenumii)}  \def\theenumii{\alph{enumii}}
-
-% IEEE uses iii) not iii.
-\def\labelenumiii{\theenumiii)} \def\theenumiii{\roman{enumiii}}
-
-% IEEE uses A) not A.
-\def\labelenumiv{\theenumiv)}   \def\theenumiv{\Alph{enumiv}}
-
-% exactly the same as in article.cls
-\def\p@enumii{\theenumi}
-\def\p@enumiii{\theenumi(\theenumii)}
-\def\p@enumiv{\p@enumiii\theenumiii}
-
-% itemized list label styles
-\def\labelitemi{$\bullet$}
-\def\labelitemii{$\circ$}
-\def\labelitemiii{\vrule height 0.8ex depth -0.2ex width 0.6ex}
-\def\labelitemiv{$\ast$}
-
-
-
-% **** V1.3 ENHANCEMENTS ****
-% Itemize, Enumerate and Description (IED) List Controls
-% ***************************
-% 
-% 
-% IEEE seems to use at least two different values by
-% which ITEMIZED list labels are indented to the right
-% For The Journal of Lightwave Technology (JLT) and The Journal
-% on Selected Areas in Communications (JSAC), they tend to use
-% an indention equal to \parindent. For Transactions on Communications
-% they tend to indent ITEMIZED lists a little more--- 1.3\parindent.
-% We'll provide both values here for you so that you can choose 
-% which one you like in your document using a command such as:
-% setlength{\IEEEilabelindent}{\IEEEilabelindentB}
-\newdimen\IEEEilabelindentA
-\IEEEilabelindentA \parindent
-
-\newdimen\IEEEilabelindentB
-\IEEEilabelindentB 1.3\parindent
-% However, we'll default to using \parindent
-% which makes more sense to me
-\newdimen\IEEEilabelindent
-\IEEEilabelindent \IEEEilabelindentA
-
-
-% This controls the default amount the enumerated list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEelabelindent
-\IEEEelabelindent \parindent
-
-% This controls the default amount the description list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEdlabelindent
-\IEEEdlabelindent \parindent
-
-% This is the value actually used within the IED lists.
-% The IED environments automatically set its value to
-% one of the three values above, so global changes do 
-% not have any effect
-\newdimen\IEEElabelindent
-\IEEElabelindent \parindent
-
-% The actual amount labels will be indented is
-% \IEEElabelindent multiplied by the factor below
-% corresponding to the level of nesting depth
-% This provides a means by which the user can
-% alter the effective \IEEElabelindent for deeper
-% levels
-% There may not be such a thing as correct "standard IEEE"
-% values. What IEEE actually does may depend on the specific
-% circumstances.
-% The first list level almost always has full indention.
-% The second levels I've seen have only 75% of the normal indentation
-% Three level or greater nestings are very rare. I am guessing
-% that they don't use any indentation.
-\def\IEEElabelindentfactori{1.0}   % almost always one
-\def\IEEElabelindentfactorii{0.75} % 0.0 or 1.0 may be used in some cases
-\def\IEEElabelindentfactoriii{0.0} % 0.75? 0.5? 0.0?
-\def\IEEElabelindentfactoriv{0.0}
-\def\IEEElabelindentfactorv{0.0}
-\def\IEEElabelindentfactorvi{0.0}
-
-% value actually used within IED lists, it is auto
-% set to one of the 6 values above
-% global changes here have no effect
-\def\IEEElabelindentfactor{1.0}
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when normal text is used for
-% the labels.
-\newdimen\IEEEiednormlabelsep
-\IEEEiednormlabelsep \parindent
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when math symbols are used for
-% the labels (nomenclature lists). IEEE usually increases the 
-% spacing in these cases
-\newdimen\IEEEiedmathlabelsep
-\IEEEiedmathlabelsep 1.2em
-
-% This controls the extra vertical separation put above and
-% below each IED list. IEEE usually puts a little extra spacing
-% around each list. However, this spacing is barely noticeable.
-\newskip\IEEEiedtopsep
-\IEEEiedtopsep 2pt plus 1pt minus 1pt
-
-
-% This command is executed within each IED list environment
-% at the beginning of the list. You can use this to set the 
-% parameters for some/all your IED list(s) without disturbing 
-% global parameters that affect things other than lists.
-% i.e., renewcommand{\IEEEiedlistdecl}{\setlength{\labelsep}{5em}}
-% will alter the \labelsep for the next list(s) until 
-% \IEEEiedlistdecl is redefined. 
-\def\IEEEiedlistdecl{\relax}
-
-% This command provides an easy way to set \leftmargin based
-% on the \labelwidth, \labelsep and the argument \IEEElabelindent
-% Usage: \IEEEcalcleftmargin{width-to-indent-the-label}
-% output is in the \leftmargin variable, i.e., effectively:
-% \leftmargin = argument + \labelwidth + \labelsep
-% Note controlled spacing here, shield end of lines with %
-\def\IEEEcalcleftmargin#1{\setlength{\leftmargin}{#1}%
-\addtolength{\leftmargin}{\labelwidth}%
-\addtolength{\leftmargin}{\labelsep}}
-
-% This command provides an easy way to set \labelwidth to the
-% width of the given text. It is the same as
-% \settowidth{\labelwidth}{label-text}
-% and useful as a shorter alternative.
-% Typically used to set \labelwidth to be the width
-% of the longest label in the list
-\def\IEEEsetlabelwidth#1{\settowidth{\labelwidth}{#1}}
-
-% When this command is executed, IED lists will use the 
-% IEEEiedmathlabelsep label separation rather than the normal
-% spacing. To have an effect, this command must be executed via
-% the \IEEEiedlistdecl or within the option of the IED list
-% environments.
-\def\IEEEusemathlabelsep{\setlength{\labelsep}{\IEEEiedmathlabelsep}}
-
-% A flag which controls whether the IED lists automatically
-% calculate \leftmargin from \IEEElabelindent, \labelwidth and \labelsep
-% Useful if you want to specify your own \leftmargin
-% This flag must be set (\IEEEnocalcleftmargintrue or \IEEEnocalcleftmarginfalse) 
-% via the \IEEEiedlistdecl or within the option of the IED list
-% environments to have an effect.
-\newif\ifIEEEnocalcleftmargin
-\IEEEnocalcleftmarginfalse
-
-% A flag which controls whether \IEEElabelindent is multiplied by
-% the \IEEElabelindentfactor for each list level.
-% This flag must be set via the \IEEEiedlistdecl or within the option 
-% of the IED list environments to have an effect.
-\newif\ifIEEEnolabelindentfactor
-\IEEEnolabelindentfactorfalse
-
-
-% internal variable to indicate type of IED label
-% justification
-% 0 - left; 1 - center; 2 - right
-\def\@IEEEiedjustify{0}
-
-
-% commands to allow the user to control IED
-% label justifications. Use these commands within
-% the IED environment option or in the \IEEEiedlistdecl
-% Note that changing the normal list justifications
-% is nonstandard and IEEE may not like it if you do so!
-% I include these commands as they may be helpful to
-% those who are using these enhanced list controls for
-% other non-IEEE related LaTeX work.
-% itemize and enumerate automatically default to right
-% justification, description defaults to left.
-\def\IEEEiedlabeljustifyl{\def\@IEEEiedjustify{0}}%left
-\def\IEEEiedlabeljustifyc{\def\@IEEEiedjustify{1}}%center
-\def\IEEEiedlabeljustifyr{\def\@IEEEiedjustify{2}}%right
-
-
-
-
-% commands to save to and restore from the list parameter copies
-% this allows us to set all the list parameters within
-% the list_decl and prevent \list (and its \@list) 
-% from overriding any of our parameters
-% V1.6 use \edefs instead of dimen's to conserve dimen registers
-% Note controlled spacing here, shield end of lines with %
-\def\@IEEEsavelistparams{\edef\@IEEEiedtopsep{\the\topsep}%
-\edef\@IEEEiedlabelwidth{\the\labelwidth}%
-\edef\@IEEEiedlabelsep{\the\labelsep}%
-\edef\@IEEEiedleftmargin{\the\leftmargin}%
-\edef\@IEEEiedpartopsep{\the\partopsep}%
-\edef\@IEEEiedparsep{\the\parsep}%
-\edef\@IEEEieditemsep{\the\itemsep}%
-\edef\@IEEEiedrightmargin{\the\rightmargin}%
-\edef\@IEEEiedlistparindent{\the\listparindent}%
-\edef\@IEEEieditemindent{\the\itemindent}}
-
-% Note controlled spacing here
-\def\@IEEErestorelistparams{\topsep\@IEEEiedtopsep\relax%
-\labelwidth\@IEEEiedlabelwidth\relax%
-\labelsep\@IEEEiedlabelsep\relax%
-\leftmargin\@IEEEiedleftmargin\relax%
-\partopsep\@IEEEiedpartopsep\relax%
-\parsep\@IEEEiedparsep\relax%
-\itemsep\@IEEEieditemsep\relax%
-\rightmargin\@IEEEiedrightmargin\relax%
-\listparindent\@IEEEiedlistparindent\relax%
-\itemindent\@IEEEieditemindent\relax}
-
-
-% v1.6b provide original LaTeX IED list environments
-% note that latex.ltx defines \itemize and \enumerate, but not \description
-% which must be created by the base classes
-% save original LaTeX itemize and enumerate
-\let\LaTeXitemize\itemize
-\let\endLaTeXitemize\enditemize
-\let\LaTeXenumerate\enumerate
-\let\endLaTeXenumerate\endenumerate
-
-% provide original LaTeX description environment from article.cls
-\newenvironment{LaTeXdescription}
-               {\list{}{\labelwidth\z@ \itemindent-\leftmargin
-                        \let\makelabel\descriptionlabel}}
-               {\endlist}
-\newcommand*\descriptionlabel[1]{\hspace\labelsep
-                                 \normalfont\bfseries #1}
-
-
-% override LaTeX's default IED lists
-\def\itemize{\@IEEEitemize}
-\def\enditemize{\@endIEEEitemize}
-\def\enumerate{\@IEEEenumerate}
-\def\endenumerate{\@endIEEEenumerate}
-\def\description{\@IEEEdescription}
-\def\enddescription{\@endIEEEdescription}
-
-% provide the user with aliases - may help those using packages that
-% override itemize, enumerate, or description
-\def\IEEEitemize{\@IEEEitemize}
-\def\endIEEEitemize{\@endIEEEitemize}
-\def\IEEEenumerate{\@IEEEenumerate}
-\def\endIEEEenumerate{\@endIEEEenumerate}
-\def\IEEEdescription{\@IEEEdescription}
-\def\endIEEEdescription{\@endIEEEdescription}
-
-
-% V1.6 we want to keep the IEEEtran IED list definitions as our own internal
-% commands so they are protected against redefinition
-\def\@IEEEitemize{\@ifnextchar[{\@@IEEEitemize}{\@@IEEEitemize[\relax]}}
-\def\@IEEEenumerate{\@ifnextchar[{\@@IEEEenumerate}{\@@IEEEenumerate[\relax]}}
-\def\@IEEEdescription{\@ifnextchar[{\@@IEEEdescription}{\@@IEEEdescription[\relax]}}
-\def\@endIEEEitemize{\endlist}
-\def\@endIEEEenumerate{\endlist}
-\def\@endIEEEdescription{\endlist}
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran itemized list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEitemize[#1]{%
-                \ifnum\@itemdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@itemdepth\@ne%
-                \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{2}% right justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \IEEElabelindent\IEEEilabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep \parskip%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % the user can override this later if
-                % they specified a \labelwidth
-                \settowidth{\labelwidth}{\csname labelitem\romannumeral\the\@itemdepth\endcsname}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname\@itemitem\endcsname}{%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \labelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\labelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran enumerate list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEenumerate[#1]{%
-                \ifnum\@enumdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@enumdepth\@ne%
-                \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{2}% right justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \IEEElabelindent\IEEEelabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % We'll set it to the width suitable for all labels using
-                % normalfont 1) to 9)
-                % The user can override this later
-                \settowidth{\labelwidth}{9)}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname label\@enumctr\endcsname}{\usecounter{\@enumctr}%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters 
-                #1\relax%
-                % If the user has requested not to use the
-                % IEEElabelindent factor, don't revise \IEEElabelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran description list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEdescription[#1]{%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{0}% left justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep% 
-                \IEEElabelindent\IEEEdlabelindent%
-                % assume normal labelsep
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % Bogus label width in case the user forgets
-                % to set it.
-                % TIP: If you want to see what a variable's width is you
-                % can use the TeX command \showthe\width-variable to 
-                % display it on the screen during compilation 
-                % (This might be helpful to know when you need to find out
-                % which label is the widest)
-                \settowidth{\labelwidth}{Hello}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{}{\@IEEErestorelistparams% override any list{} changes
-                                               % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters 
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \IEEElabelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}\relax%
-                \fi}\fi}
-
-% v1.6b we use one makelabel that does justification as needed.
-\def\@IEEEiedmakelabel#1{\relax\if\@IEEEiedjustify 0\relax
-\makebox[\labelwidth][l]{\normalfont #1}\else
-\if\@IEEEiedjustify 1\relax
-\makebox[\labelwidth][c]{\normalfont #1}\else
-\makebox[\labelwidth][r]{\normalfont #1}\fi\fi}
-
-
-% VERSE and QUOTE
-% V1.7 define environments with newenvironment
-\newenvironment{verse}{\let\\=\@centercr
-    \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent
-    \rightmargin\leftmargin\advance\leftmargin 1.5em}\item\relax}
-    {\endlist}
-\newenvironment{quotation}{\list{}{\listparindent 1.5em \itemindent\listparindent
-    \rightmargin\leftmargin \parsep 0pt plus 1pt}\item\relax}
-    {\endlist}
-\newenvironment{quote}{\list{}{\rightmargin\leftmargin}\item\relax}
-    {\endlist}
-
-
-% \titlepage
-% provided only for backward compatibility. \maketitle is the correct
-% way to create the title page. 
-\newif\if@restonecol
-\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
-    \else \newpage \fi \thispagestyle{empty}\c@page\z@}
-\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}
-
-% standard values from article.cls
-\arraycolsep     5pt
-\arrayrulewidth .4pt
-\doublerulesep   2pt
-
-\tabcolsep       6pt
-\tabbingsep      0.5em
-
-
-%% FOOTNOTES
-%
-%\skip\footins 10pt plus 4pt minus 2pt
-% V1.6 respond to changes in font size
-% space added above the footnotes (if present)
-\skip\footins 0.9\baselineskip  plus 0.4\baselineskip  minus 0.2\baselineskip
-
-% V1.6, we need to make \footnotesep responsive to changes
-% in \baselineskip or strange spacings will result when in
-% draft mode. Here is a little LaTeX secret - \footnotesep
-% determines the height of an invisible strut that is placed
-% *above* the baseline of footnotes after the first. Since
-% LaTeX considers the space for characters to be 0.7/baselineskip
-% above the baseline and 0.3/baselineskip below it, we need to
-% use 0.7/baselineskip as a \footnotesep to maintain equal spacing
-% between all the lines of the footnotes. IEEE often uses a tad
-% more, so use 0.8\baselineskip. This slightly larger value also helps
-% the text to clear the footnote marks. Note that \thanks in IEEEtran
-% uses its own value of \footnotesep which is set in \maketitle.
-{\footnotesize
-\global\footnotesep 0.8\baselineskip}
-
-\def\unnumberedfootnote{\gdef\@thefnmark{\quad}\@footnotetext}
-
-\skip\@mpfootins 0.3\baselineskip
-\fboxsep = 3pt
-\fboxrule = .4pt
-% V1.6 use 1em, then use LaTeX2e's \@makefnmark
-% Note that IEEE normally *left* aligns the footnote marks, so we don't need
-% box resizing tricks here.
-%\long\def\@makefnmark{\scriptsize\normalfont\@thefnmark}
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em
-\long\def\@maketablefntext#1{\raggedleft\leavevmode\hbox{\@makefnmark}#1}
-% V1.7 compsoc does not use superscipts for footnote marks
-\ifCLASSOPTIONcompsoc
-\def\@IEEEcompsocmakefnmark{\hbox{\normalfont\@thefnmark.\ }}
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@IEEEcompsocmakefnmark}#1}
-\fi
-
-% IEEE does not use footnote rules. Or do they?
-\def\footnoterule{\vskip-2pt \hrule height 0.6pt depth \z@ \vskip1.6pt\relax}
-\toks@\expandafter{\@setminipage\let\footnoterule\relax\footnotesep\z@}
-\edef\@setminipage{\the\toks@}
-
-% V1.7 for compsoc, IEEE uses a footnote rule only for \thanks. We devise a "one-shot"
-% system to implement this.
-\newif\if@IEEEenableoneshotfootnoterule
-\@IEEEenableoneshotfootnoterulefalse
-\ifCLASSOPTIONcompsoc
-\def\footnoterule{\relax\if@IEEEenableoneshotfootnoterule
-\kern-5pt
-\hbox to \columnwidth{\hfill\vrule width 0.5\columnwidth height 0.4pt\hfill}
-\kern4.6pt
-\global\@IEEEenableoneshotfootnoterulefalse
-\else
-\relax
-\fi}
-\fi
-
-% V1.6 do not allow LaTeX to break a footnote across multiple pages
-\interfootnotelinepenalty=10000
-
-% V1.6 discourage breaks within equations
-% Note that amsmath normally sets this to 10000,
-% but LaTeX2e normally uses 100.
-\interdisplaylinepenalty=2500
-
-% default allows section depth up to /paragraph
-\setcounter{secnumdepth}{4}
-
-% technotes do not allow /paragraph
-\ifCLASSOPTIONtechnote
-   \setcounter{secnumdepth}{3}
-\fi
-% neither do compsoc conferences
-\@IEEEcompsocconfonly{\setcounter{secnumdepth}{3}}
-
-
-\newcounter{section}
-\newcounter{subsection}[section]
-\newcounter{subsubsection}[subsection]
-\newcounter{paragraph}[subsubsection]
-
-% used only by IEEEtran's IEEEeqnarray as other packages may
-% have their own, different, implementations
-\newcounter{IEEEsubequation}[equation]
-
-% as shown when called by user from \ref, \label and in table of contents
-\def\theequation{\arabic{equation}}                          % 1
-\def\theIEEEsubequation{\theequation\alph{IEEEsubequation}}  % 1a (used only by IEEEtran's IEEEeqnarray)
-\ifCLASSOPTIONcompsoc
-% compsoc is all arabic
-\def\thesection{\arabic{section}}                
-\def\thesubsection{\thesection.\arabic{subsection}}
-\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}
-\def\theparagraph{\thesubsubsection.\arabic{paragraph}}
-\else
-\def\thesection{\Roman{section}}                             % I
-% V1.7, \mbox prevents breaks around - 
-\def\thesubsection{\mbox{\thesection-\Alph{subsection}}}     % I-A
-% V1.7 use I-A1 format used by IEEE rather than I-A.1
-\def\thesubsubsection{\thesubsection\arabic{subsubsection}}  % I-A1
-\def\theparagraph{\thesubsubsection\alph{paragraph}}         % I-A1a
-\fi
-
-% From Heiko Oberdiek. Because of the \mbox in \thesubsection, we need to
-% tell hyperref to disable the \mbox command when making PDF bookmarks.
-% This done already with hyperref.sty version 6.74o and later, but
-% it will not hurt to do it here again for users of older versions.
-\@ifundefined{pdfstringdefPreHook}{\let\pdfstringdefPreHook\@empty}{}%
-\g@addto@macro\pdfstringdefPreHook{\let\mbox\relax}
-
-
-% Main text forms (how shown in main text headings)
-% V1.6, using \thesection in \thesectiondis allows changes
-% in the former to automatically appear in the latter
-\ifCLASSOPTIONcompsoc
-  \ifCLASSOPTIONconference% compsoc conference
-    \def\thesectiondis{\thesection.}
-    \def\thesubsectiondis{\thesectiondis\arabic{subsection}.}
-    \def\thesubsubsectiondis{\thesubsectiondis\arabic{subsubsection}.}
-    \def\theparagraphdis{\thesubsubsectiondis\arabic{paragraph}.}
-  \else% compsoc not conferencs
-    \def\thesectiondis{\thesection}
-    \def\thesubsectiondis{\thesectiondis.\arabic{subsection}}
-    \def\thesubsubsectiondis{\thesubsectiondis.\arabic{subsubsection}}
-    \def\theparagraphdis{\thesubsubsectiondis.\arabic{paragraph}}
-  \fi
-\else% not compsoc
-  \def\thesectiondis{\thesection.}                   % I.
-  \def\thesubsectiondis{\Alph{subsection}.}          % B.
-  \def\thesubsubsectiondis{\arabic{subsubsection})}  % 3)
-  \def\theparagraphdis{\alph{paragraph})}            % d)
-\fi
-
-% just like LaTeX2e's \@eqnnum
-\def\theequationdis{{\normalfont \normalcolor (\theequation)}}% (1)
-% IEEEsubequation used only by IEEEtran's IEEEeqnarray
-\def\theIEEEsubequationdis{{\normalfont \normalcolor (\theIEEEsubequation)}}% (1a)
-% redirect LaTeX2e's equation number display and all that depend on
-% it, through IEEEtran's \theequationdis
-\def\@eqnnum{\theequationdis}
-
-
-
-% V1.7 provide string macros as article.cls does
-\def\contentsname{Contents}
-\def\listfigurename{List of Figures}
-\def\listtablename{List of Tables}
-\def\refname{References}
-\def\indexname{Index}
-\def\figurename{Fig.}
-\def\tablename{TABLE}
-\@IEEEcompsocconfonly{\def\figurename{Figure}\def\tablename{Table}}
-\def\partname{Part}
-\def\appendixname{Appendix}
-\def\abstractname{Abstract}
-% IEEE specific names
-\def\IEEEkeywordsname{Keywords}
-\def\IEEEproofname{Proof}
-
-
-% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS
-%
-\def\@pnumwidth{1.55em}
-\def\@tocrmarg{2.55em}
-\def\@dotsep{4.5}
-\setcounter{tocdepth}{3}
-
-% adjusted some spacings here so that section numbers will not easily 
-% collide with the section titles. 
-% VIII; VIII-A; and VIII-A.1 are usually the worst offenders.
-% MDS 1/2001
-\def\tableofcontents{\section*{\contentsname}\@starttoc{toc}}
-\def\l@section#1#2{\addpenalty{\@secpenalty}\addvspace{1.0em plus 1pt}%
-    \@tempdima 2.75em \begingroup \parindent \z@ \rightskip \@pnumwidth%
-    \parfillskip-\@pnumwidth {\bfseries\leavevmode #1}\hfil\hbox to\@pnumwidth{\hss #2}\par%
-    \endgroup}
-% argument format #1:level, #2:labelindent,#3:labelsep
-\def\l@subsection{\@dottedtocline{2}{2.75em}{3.75em}}
-\def\l@subsubsection{\@dottedtocline{3}{6.5em}{4.5em}}
-% must provide \l@ defs for ALL sublevels EVEN if tocdepth
-% is such as they will not appear in the table of contents
-% these defs are how TOC knows what level these things are!
-\def\l@paragraph{\@dottedtocline{4}{6.5em}{5.5em}}
-\def\l@subparagraph{\@dottedtocline{5}{6.5em}{6.5em}}
-\def\listoffigures{\section*{\listfigurename}\@starttoc{lof}}
-\def\l@figure{\@dottedtocline{1}{0em}{2.75em}}
-\def\listoftables{\section*{\listtablename}\@starttoc{lot}}
-\let\l@table\l@figure
-
-
-%% Definitions for floats
-%%
-%% Normal Floats
-\floatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-\textfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-\@fptop 0pt plus 1fil
-\@fpsep 0.75\baselineskip plus 2fil 
-\@fpbot 0pt plus 1fil
-\def\topfraction{0.9}
-\def\bottomfraction{0.4}
-\def\floatpagefraction{0.8}
-% V1.7, let top floats approach 90% of page
-\def\textfraction{0.1}
-
-%% Double Column Floats
-\dblfloatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-
-\dbltextfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-% Note that it would be nice if the rubber here actually worked in LaTeX2e.
-% There is a long standing limitation in LaTeX, first discovered (to the best
-% of my knowledge) by Alan Jeffrey in 1992. LaTeX ignores the stretchable
-% portion of \dbltextfloatsep, and as a result, double column figures can and
-% do result in an non-integer number of lines in the main text columns with
-% underfull vbox errors as a consequence. A post to comp.text.tex
-% by Donald Arseneau confirms that this had not yet been fixed in 1998.
-% IEEEtran V1.6 will fix this problem for you in the titles, but it doesn't
-% protect you from other double floats. Happy vspace'ing.
-
-\@dblfptop 0pt plus 1fil
-\@dblfpsep 0.75\baselineskip plus 2fil
-\@dblfpbot 0pt plus 1fil
-\def\dbltopfraction{0.8}
-\def\dblfloatpagefraction{0.8}
-\setcounter{dbltopnumber}{4}
-
-\intextsep 1\baselineskip plus 0.2\baselineskip minus  0.2\baselineskip
-\setcounter{topnumber}{2}
-\setcounter{bottomnumber}{2}
-\setcounter{totalnumber}{4}
-
-
-
-% article class provides these, we should too.
-\newlength\abovecaptionskip
-\newlength\belowcaptionskip
-% but only \abovecaptionskip is used above figure captions and *below* table
-% captions
-\setlength\abovecaptionskip{0.65\baselineskip}
-\setlength\belowcaptionskip{0.75\baselineskip}
-% V1.6 create hooks in case the caption spacing ever needs to be
-% overridden by a user
-\def\@IEEEfigurecaptionsepspace{\vskip\abovecaptionskip\relax}%
-\def\@IEEEtablecaptionsepspace{\vskip\belowcaptionskip\relax}%
-
-
-% 1.6b revise caption system so that \@makecaption uses two arguments
-% as with LaTeX2e. Otherwise, there will be problems when using hyperref.
-\def\@IEEEtablestring{table}
-
-\ifCLASSOPTIONcompsoc
-% V1.7 compsoc \@makecaption
-\ifCLASSOPTIONconference% compsoc conference
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\normalsize\begin{center}{\normalfont\sffamily\normalsize {#1.}~ #2}\end{center}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, center
-\else%
-\hbox to\hsize{\normalfont\sffamily\normalsize\hfil\box\@tempboxa\hfil}%
-\fi\fi}
-\else% nonconference compsoc
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\normalsize\begin{center}{\normalfont\sffamily\normalsize #1}\\{\normalfont\sffamily\normalsize #2}\end{center}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, left justify
-\else%
-\hbox to\hsize{\normalfont\sffamily\normalsize\box\@tempboxa\hfil}%
-\fi\fi}
-\fi
-
-\else% traditional noncompsoc \@makecaption
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\footnotesize{\centering\normalfont\footnotesize#1.\qquad\scshape #2\par}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-% 3/2001 use footnotesize, not small; use two nonbreaking spaces, not one
-\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ }%
-\parbox[t]{\hsize}{\normalfont\footnotesize\noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, center if conference, left justify otherwise
-\else%
-\ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%
-\else \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%
-\fi\fi\fi}
-\fi
-
-
-
-% V1.7 disable captions class option, do so in a way that retains operation of \label
-% within \caption
-\ifCLASSOPTIONcaptionsoff
-\long\def\@makecaption#1#2{\vspace*{2em}\footnotesize\begin{center}{\footnotesize #1}\end{center}%
-\let\@IEEEtemporiglabeldefsave\label
-\let\@IEEEtemplabelargsave\relax
-\def\label##1{\gdef\@IEEEtemplabelargsave{##1}}%
-\setbox\@tempboxa\hbox{#2}%
-\let\label\@IEEEtemporiglabeldefsave
-\ifx\@IEEEtemplabelargsave\relax\else\label{\@IEEEtemplabelargsave}\fi}
-\fi
-
-
-% V1.7 define end environments with \def not \let so as to work OK with
-% preview-latex
-\newcounter{figure}
-\def\thefigure{\@arabic\c@figure}
-\def\fps@figure{tbp}
-\def\ftype@figure{1}
-\def\ext@figure{lof}
-\def\fnum@figure{\figurename~\thefigure}
-\def\figure{\@float{figure}}
-\def\endfigure{\end@float}
-\@namedef{figure*}{\@dblfloat{figure}}
-\@namedef{endfigure*}{\end@dblfloat}
-\newcounter{table}
-\ifCLASSOPTIONcompsoc
-\def\thetable{\arabic{table}}
-\else
-\def\thetable{\@Roman\c@table}
-\fi
-\def\fps@table{tbp}
-\def\ftype@table{2}
-\def\ext@table{lot}
-\def\fnum@table{\tablename~\thetable}
-% V1.6 IEEE uses 8pt text for tables
-% to default to footnotesize, we hack into LaTeX2e's \@floatboxreset and pray
-\def\table{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}%
-  \let\@makefntext\@maketablefntext
-  \@float{table}}
-\def\endtable{\end@float}
-% v1.6b double column tables need to default to footnotesize as well.
-\@namedef{table*}{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}\@dblfloat{table}}
-\@namedef{endtable*}{\end@dblfloat}
-
-
-
-
-%%
-%% START OF IEEEeqnarry DEFINITIONS
-%%
-%% Inspired by the concepts, examples, and previous works of LaTeX 
-%% coders and developers such as Donald Arseneau, Fred Bartlett, 
-%% David Carlisle, Tony Liu, Frank Mittelbach, Piet van Oostrum, 
-%% Roland Winkler and Mark Wooding.
-%% I don't make the claim that my work here is even near their calibre. ;)
-
-
-% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting
-\def\@IEEEclspkgerror{\ClassError{IEEEtran}}
-
-\newif\if@IEEEeqnarraystarform% flag to indicate if the environment was called as the star form
-\@IEEEeqnarraystarformfalse
-
-\newif\if@advanceIEEEeqncolcnt% tracks if the environment should advance the col counter
-% allows a way to make an \IEEEeqnarraybox that can be used within an \IEEEeqnarray
-% used by IEEEeqnarraymulticol so that it can work properly in both
-\@advanceIEEEeqncolcnttrue
-
-\newcount\@IEEEeqnnumcols % tracks how many IEEEeqnarray cols are defined
-\newcount\@IEEEeqncolcnt  % tracks how many IEEEeqnarray cols the user actually used
-
-
-% The default math style used by the columns
-\def\IEEEeqnarraymathstyle{\displaystyle}
-% The default text style used by the columns
-% default to using the current font
-\def\IEEEeqnarraytextstyle{\relax}
-
-% like the iedlistdecl but for \IEEEeqnarray
-\def\IEEEeqnarraydecl{\relax}
-\def\IEEEeqnarrayboxdecl{\relax}
-
-% \yesnumber is the opposite of \nonumber
-% a novel concept with the same def as the equationarray package
-% However, we give IEEE versions too since some LaTeX packages such as 
-% the MDWtools mathenv.sty redefine \nonumber to something else.
-\providecommand{\yesnumber}{\global\@eqnswtrue}
-\def\IEEEyesnumber{\global\@eqnswtrue}
-\def\IEEEnonumber{\global\@eqnswfalse}
-
-
-\def\IEEEyessubnumber{\global\@IEEEissubequationtrue\global\@eqnswtrue%
-\if@IEEEeqnarrayISinner% only do something inside an IEEEeqnarray
-\if@IEEElastlinewassubequation\addtocounter{equation}{-1}\else\setcounter{IEEEsubequation}{1}\fi%
-\def\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\fi}
-
-% flag to indicate that an equation is a sub equation
-\newif\if@IEEEissubequation%
-\@IEEEissubequationfalse
-
-% allows users to "push away" equations that get too close to the equation numbers
-\def\IEEEeqnarraynumspace{\hphantom{\if@IEEEissubequation\theIEEEsubequationdis\else\theequationdis\fi}}
-
-% provides a way to span multiple columns within IEEEeqnarray environments
-% will consider \if@advanceIEEEeqncolcnt before globally advancing the
-% column counter - so as to work within \IEEEeqnarraybox
-% usage: \IEEEeqnarraymulticol{number cols. to span}{col type}{cell text}
-\long\def\IEEEeqnarraymulticol#1#2#3{\multispan{#1}%
-% check if column is defined
-\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined%
-\csname @IEEEeqnarraycolPRE#2\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST#2\endcsname%
-\else% if not, error and use default type
-\@IEEEclspkgerror{Invalid column type "#2" in \string\IEEEeqnarraymulticol.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\csname @IEEEeqnarraycolPRE@IEEEdefault\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST@IEEEdefault\endcsname%
-\fi%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by #1\relax\fi}
-
-% like \omit, but maintains track of the column counter for \IEEEeqnarray
-\def\IEEEeqnarrayomit{\omit\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by 1\relax\fi}
-
-
-% provides a way to define a letter referenced column type
-% usage: \IEEEeqnarraydefcol{col. type letter/name}{pre insertion text}{post insertion text}
-\def\IEEEeqnarraydefcol#1#2#3{\expandafter\def\csname @IEEEeqnarraycolPRE#1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolPOST#1\endcsname{#3}%
-\expandafter\def\csname @IEEEeqnarraycolDEF#1\endcsname{1}}
-
-
-% provides a way to define a numerically referenced inter-column glue types
-% usage: \IEEEeqnarraydefcolsep{col. glue number}{glue definition}
-\def\IEEEeqnarraydefcolsep#1#2{\expandafter\def\csname @IEEEeqnarraycolSEP\romannumeral #1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolSEPDEF\romannumeral #1\endcsname{1}}
-
-
-\def\@IEEEeqnarraycolisdefined{1}% just a macro for 1, used for checking undefined column types
-
-
-% expands and appends the given argument to the \@IEEEtrantmptoksA token list
-% used to build up the \halign preamble
-\def\@IEEEappendtoksA#1{\edef\@@IEEEappendtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA #1}}%
-\@@IEEEappendtoksA}
-
-% also appends to \@IEEEtrantmptoksA, but does not expand the argument
-% uses \toks8 as a scratchpad register
-\def\@IEEEappendNOEXPANDtoksA#1{\toks8={#1}%
-\edef\@@IEEEappendNOEXPANDtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA\the\toks8}}%
-\@@IEEEappendNOEXPANDtoksA}
-
-% define some common column types for the user
-% math
-\IEEEeqnarraydefcol{l}{$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{c}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{r}{\hfil$\IEEEeqnarraymathstyle}{$}
-\IEEEeqnarraydefcol{L}{$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{C}{\hfil$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{R}{\hfil$\IEEEeqnarraymathstyle{}}{{}$}
-% text
-\IEEEeqnarraydefcol{s}{\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{t}{\hfil\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{u}{\hfil\IEEEeqnarraytextstyle}{}
-
-% vertical rules
-\IEEEeqnarraydefcol{v}{}{\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{vv}{\vrule width\arrayrulewidth\hfil}{\hfil\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{V}{}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{VV}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth\hfil}%
-{\hfil\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-
-% horizontal rules
-\IEEEeqnarraydefcol{h}{}{\leaders\hrule height\arrayrulewidth\hfil}
-\IEEEeqnarraydefcol{H}{}{\leaders\vbox{\hrule width\arrayrulewidth\vskip\doublerulesep\hrule width\arrayrulewidth}\hfil}
-
-% plain
-\IEEEeqnarraydefcol{x}{}{}
-\IEEEeqnarraydefcol{X}{$}{$}
-
-% the default column type to use in the event a column type is not defined
-\IEEEeqnarraydefcol{@IEEEdefault}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-
-
-% a zero tabskip (used for "-" col types)
-\def\@IEEEeqnarraycolSEPzero{0pt plus 0pt minus 0pt}
-% a centering tabskip (used for "+" col types)
-\def\@IEEEeqnarraycolSEPcenter{1000pt plus 0pt minus 1000pt}
-
-% top level default tabskip glues for the start, end, and inter-column
-% may be reset within environments not always at the top level, e.g., \IEEEeqnarraybox
-\edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPcenter}% default start glue
-\edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPcenter}% default end glue
-\edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-
-
-
-% creates a vertical rule that extends from the bottom to the top a a cell
-% Provided in case other packages redefine \vline some other way.
-% usage: \IEEEeqnarrayvrule[rule thickness]
-% If no argument is provided, \arrayrulewidth will be used for the rule thickness. 
-\newcommand\IEEEeqnarrayvrule[1][\arrayrulewidth]{\vrule\@width#1\relax}
-
-% creates a blank separator row
-% usage: \IEEEeqnarrayseprow[separation length][font size commands]
-% default is \IEEEeqnarrayseprow[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprow{\relax\@ifnextchar[{\@IEEEeqnarrayseprow}{\@IEEEeqnarrayseprow[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprow[#1]}{\@@IEEEeqnarrayseprow[#1][\relax]}}
-\def\@@IEEEeqnarrayseprow[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\@IEEEeqnarrayhoptolastcolumn\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-% creates a blank separator row, but omits all the column templates
-% usage: \IEEEeqnarrayseprowcut[separation length][font size commands]
-% default is \IEEEeqnarrayseprowcut[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayseprowcut}{\@IEEEeqnarrayseprowcut[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprowcut[#1]}{\@@IEEEeqnarrayseprowcut[#1][\relax]}}
-\def\@@IEEEeqnarrayseprowcut[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-
-
-% draws a single rule across all the columns optional
-% argument determines the rule width, \arrayrulewidth is the default
-% updates column counter as needed and turns off struts
-% usage: \IEEEeqnarrayrulerow[rule line thickness]
-\def\IEEEeqnarrayrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayrulerow}{\@IEEEeqnarrayrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarrayrulerow[#1]{\leaders\hrule height#1\hfil\relax% put in our rule 
-% turn off any struts
-\IEEEeqnarraystrutsize{0pt}{0pt}[\relax]\relax}
-
-
-% draws a double rule by using a single rule row, a separator row, and then
-% another single rule row 
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerow}{\@IEEEeqnarraydblrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerow[#1]}%
-{\@@IEEEeqnarraydblrulerow[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerow[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]\relax%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprow[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprow[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-% draws a double rule by using a single rule row, a separator (cutting) row, and then
-% another single rule row 
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerowcut}{\@IEEEeqnarraydblrulerowcut[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerowcut[#1]}%
-{\@@IEEEeqnarraydblrulerowcut[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerowcut[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprowcut[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprowcut[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-
-
-% inserts a full row's worth of &'s
-% relies on \@IEEEeqnnumcols to provide the correct number of columns
-% uses \@IEEEtrantmptoksA, \count0 as scratch registers
-\def\@IEEEeqnarrayhoptolastcolumn{\@IEEEtrantmptoksA={}\count0=1\relax%
-\loop% add cols if the user did not use them all
-\ifnum\count0<\@IEEEeqnnumcols\relax%
-\@IEEEappendtoksA{&}%
-\advance\count0 by 1\relax% update the col count
-\repeat%
-\the\@IEEEtrantmptoksA%execute the &'s
-}
-
-
-
-\newif\if@IEEEeqnarrayISinner % flag to indicate if we are within the lines
-\@IEEEeqnarrayISinnerfalse    % of an IEEEeqnarray - after the IEEEeqnarraydecl
-
-\edef\@IEEEeqnarrayTHEstrutheight{0pt} % height and depth of IEEEeqnarray struts
-\edef\@IEEEeqnarrayTHEstrutdepth{0pt}
-
-\edef\@IEEEeqnarrayTHEmasterstrutheight{0pt} % default height and depth of
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{0pt}  % struts within an IEEEeqnarray
-
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{0pt} % saved master strut height
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{0pt} % and depth
-
-\newif\if@IEEEeqnarrayusemasterstrut % flag to indicate that the master strut value
-\@IEEEeqnarrayusemasterstruttrue     % is to be used
-
-
-
-% saves the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutsave{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% save values
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{\the\dimen2}}
-
-% restores the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutrestore{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutHSAVE\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutDSAVE\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}}
-
-
-% globally restores the strut height and depth to the 
-% master values and sets the master strut flag to true
-\def\@IEEEeqnarraystrutreset{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\xdef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\global\@IEEEeqnarrayusemasterstruttrue}
-
-
-% if the master strut is not to be used, make the current
-% values of \@IEEEeqnarrayTHEstrutheight, \@IEEEeqnarrayTHEstrutdepth
-% and the use master strut flag, global
-% this allows user strut commands issued in the last column to be carried
-% into the isolation/strut column
-\def\@IEEEeqnarrayglobalizestrutstatus{\relax%
-\if@IEEEeqnarrayusemasterstrut\else%
-\xdef\@IEEEeqnarrayTHEstrutheight{\@IEEEeqnarrayTHEstrutheight}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\@IEEEeqnarrayTHEstrutdepth}%
-\global\@IEEEeqnarrayusemasterstrutfalse%
-\fi}
-
-
-
-% usage: \IEEEeqnarraystrutsize{height}{depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, sets the height
-% and depth of both the master and local struts. If called inside
-% an IEEEeqnarray line, sets the height and depth of the local strut
-% only and sets the flag to indicate the use of the local strut
-% values. If the height or depth is left blank, 0.7\normalbaselineskip
-% and 0.3\normalbaselineskip will be used, respectively.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsize#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsize{#1}{#2}}{\@IEEEeqnarraystrutsize{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsize#1#2[#3]{\def\@IEEEeqnarraystrutsizeARG{#1}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.7\normalbaselineskip}}%
-\skip0=\skip3\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1\relax}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizeARG{#2}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.3\normalbaselineskip}}%
-\skip2=\skip3\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2\relax}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% usage: \IEEEeqnarraystrutsizeadd{added height}{added depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, adds the given height
-% and depth to both the master and local struts.
-% If called inside an IEEEeqnarray line, adds the given height and depth
-% to the local strut only and sets the flag to indicate the use 
-% of the local strut values.
-% In both cases, if a height or depth is left blank, 0pt is used instead.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsizeadd#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsizeadd{#1}{#2}}{\@IEEEeqnarraystrutsizeadd{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsizeadd#1#2[#3]{\def\@IEEEeqnarraystrutsizearg{#1}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip0=0pt\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizearg{#2}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip2=0pt\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local and master strut sizes
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% allow user a way to see the struts
-\newif\ifIEEEvisiblestruts
-\IEEEvisiblestrutsfalse
-
-% inserts an invisible strut using the master or local strut values
-% uses scratch registers \skip0, \skip2, \dimen0, \dimen2
-\def\@IEEEeqnarrayinsertstrut{\relax%
-\if@IEEEeqnarrayusemasterstrut
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-\else%
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-% allow user to see struts if desired
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0pt height\dimen0 depth\dimen2\relax\fi}
-
-
-% creates an invisible strut, useable even outside \IEEEeqnarray
-% if \IEEEvisiblestrutstrue, the strut will be visible and 0.2pt wide. 
-% usage: \IEEEstrut[height][depth][font size commands]
-% default is \IEEEstrut[0.7\normalbaselineskip][0.3\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \dimen0, \dimen2, \skip0, \skip2
-\def\IEEEstrut{\relax\@ifnextchar[{\@IEEEstrut}{\@IEEEstrut[0.7\normalbaselineskip]}}
-\def\@IEEEstrut[#1]{\relax\@ifnextchar[{\@@IEEEstrut[#1]}{\@@IEEEstrut[#1][0.3\normalbaselineskip]}}
-\def\@@IEEEstrut[#1][#2]{\relax\@ifnextchar[{\@@@IEEEstrut[#1][#2]}{\@@@IEEEstrut[#1][#2][\relax]}}
-\def\@@@IEEEstrut[#1][#2][#3]{\mbox{#3\relax%
-\def\@IEEEstrutARG{#1}%
-\ifx\@IEEEstrutARG\@empty%
-\skip0=0.7\normalbaselineskip\relax%
-\else%
-\skip0=#1\relax%
-\fi%
-\def\@IEEEstrutARG{#2}%
-\ifx\@IEEEstrutARG\@empty%
-\skip2=0.3\normalbaselineskip\relax%
-\else%
-\skip2=#2\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0.0pt height\dimen0 depth\dimen2\relax\fi}}
-
-
-% enables strut mode by setting a default strut size and then zeroing the
-% \baselineskip, \lineskip, \lineskiplimit and \jot
-\def\IEEEeqnarraystrutmode{\IEEEeqnarraystrutsize{0.7\normalbaselineskip}{0.3\normalbaselineskip}[\relax]%
-\baselineskip=0pt\lineskip=0pt\lineskiplimit=0pt\jot=0pt}
-
-
-
-\def\IEEEeqnarray{\@IEEEeqnarraystarformfalse\@IEEEeqnarray}
-\def\endIEEEeqnarray{\end@IEEEeqnarray}
-
-\@namedef{IEEEeqnarray*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarray}
-\@namedef{endIEEEeqnarray*}{\end@IEEEeqnarray}
-
-
-% \IEEEeqnarray is an enhanced \eqnarray. 
-% The star form defaults to not putting equation numbers at the end of each row.
-% usage: \IEEEeqnarray[decl]{cols}
-\def\@IEEEeqnarray{\relax\@ifnextchar[{\@@IEEEeqnarray}{\@@IEEEeqnarray[\relax]}}
-\def\@@IEEEeqnarray[#1]#2{%
-   % default to showing the equation number or not based on whether or not
-   % the star form was involked
-   \if@IEEEeqnarraystarform\global\@eqnswfalse
-   \else% not the star form
-   \global\@eqnswtrue
-   \fi% if star form
-   \@IEEEissubequationfalse% default to no subequations
-   \@IEEElastlinewassubequationfalse% assume last line is not a sub equation
-   \@IEEEeqnarrayISinnerfalse% not yet within the lines of the halign
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax
-   \lineskiplimit=0pt\relax
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\IEEEnormaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   \@advanceIEEEeqncolcnttrue% advance the col counter for each col the user uses, 
-                             % used in \IEEEeqnarraymulticol and in the preamble build
-   \stepcounter{equation}% advance equation counter before first line
-   \setcounter{IEEEsubequation}{0}% no subequation yet 
-   \def\@currentlabel{\p@equation\theequation}% redefine the ref label
-   \IEEEeqnarraydecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarraycr% replace newline with one that can put in eqn. numbers
-   \global\@IEEEeqncolcnt\z@% col. count = 0 for first line
-   \@IEEEbuildpreamble #2\end\relax% build the preamble and put it into \@IEEEtrantmptoksA 
-   % put in the column for the equation number
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % advance the \@IEEEeqncolcnt for the isolation col, this helps with error checking
-   \@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the isolation column
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}%
-   % advance the \@IEEEeqncolcnt for the equation number col, this helps with error checking
-   \@IEEEappendtoksA{&\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the equation number col to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\hb@xt@\z@\bgroup\hss\the\toks0\egroup}%
-   % note \@IEEEeqnnumcols does not count the equation col or isolation col
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the display alignment
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   $$\everycr{}\halign to\displaywidth\bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% enter isolation/strut column (or the next column if the user did not use
-% every column), record the strut status, complete the columns, do the strut if needed,
-% restore counters to correct values and exit
-\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup%
-\if@IEEElastlinewassubequation\global\advance\c@IEEEsubequation\m@ne\fi%
-\global\advance\c@equation\m@ne%
-$$\@ignoretrue}
-
-% need a way to remember if last line is a subequation
-\newif\if@IEEElastlinewassubequation%
-\@IEEElastlinewassubequationfalse
-
-% IEEEeqnarray uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\*[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the next column
-% as there is an isolation/strut column after the user's columns
-\def\@IEEEeqnarraycr{\@IEEEeqnarrayglobalizestrutstatus&% save strut status and advance to next column
-   {\ifnum0=`}\fi
-   \@ifstar{%
-      \global\@eqpen\@M\@IEEEeqnarrayYCR
-   }{%
-      \global\@eqpen\interdisplaylinepenalty \@IEEEeqnarrayYCR
-   }%
-}
-
-\def\@IEEEeqnarrayYCR{\@testopt\@IEEEeqnarrayXCR\z@skip}
-
-\def\@IEEEeqnarrayXCR[#1]{%
-   \ifnum0=`{\fi}%
-   \@@IEEEeqnarraycr
-   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}%
-
-\def\@@IEEEeqnarraycr{\@IEEEtrantmptoksA={}% clear token register
-    \advance\@IEEEeqncolcnt by -1\relax% adjust col count because of the isolation column
-    \ifnum\@IEEEeqncolcnt>\@IEEEeqnnumcols\relax
-    \@IEEEclspkgerror{Too many columns within the IEEEeqnarray\MessageBreak
-                          environment}%
-    {Use fewer \string &'s or put more columns in the IEEEeqnarry column\MessageBreak 
-     specifications.}\relax%
-    \else
-    \loop% add cols if the user did not use them all
-    \ifnum\@IEEEeqncolcnt<\@IEEEeqnnumcols\relax
-    \@IEEEappendtoksA{&}%
-    \advance\@IEEEeqncolcnt by 1\relax% update the col count
-    \repeat
-    % this number of &'s will take us the the isolation column
-    \fi
-    % execute the &'s
-    \the\@IEEEtrantmptoksA%
-    % handle the strut/isolation column
-    \@IEEEeqnarrayinsertstrut% do the strut if needed
-    \@IEEEeqnarraystrutreset% reset the strut system for next line or IEEEeqnarray
-    &% and enter the equation number column
-    % is this line needs an equation number, display it and advance the
-    % (sub)equation counters, record what type this line was
-    \if@eqnsw%
-     \if@IEEEissubequation\theIEEEsubequationdis\addtocounter{equation}{1}\stepcounter{IEEEsubequation}%
-     \global\@IEEElastlinewassubequationtrue%
-     \else% display a standard equation number, initialize the IEEEsubequation counter
-     \theequationdis\stepcounter{equation}\setcounter{IEEEsubequation}{0}%
-     \global\@IEEElastlinewassubequationfalse\fi%
-    \fi%
-    % reset the eqnsw flag to indicate default preference of the display of equation numbers
-    \if@IEEEeqnarraystarform\global\@eqnswfalse\else\global\@eqnswtrue\fi
-    \global\@IEEEissubequationfalse% reset the subequation flag
-    % reset the number of columns the user actually used
-    \global\@IEEEeqncolcnt\z@\relax
-    % the real end of the line
-    \cr}
-
-
-
-
-
-% \IEEEeqnarraybox is like \IEEEeqnarray except the box form puts everything
-% inside a vtop, vbox, or vcenter box depending on the letter in the second
-% optional argument (t,b,c). Vbox is the default. Unlike \IEEEeqnarray,
-% equation numbers are not displayed and \IEEEeqnarraybox can be nested.
-% \IEEEeqnarrayboxm is for math mode (like \array) and does not put the vbox
-% within an hbox.
-% \IEEEeqnarrayboxt is for text mode (like \tabular) and puts the vbox within
-% a \hbox{$ $} construct.
-% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or 
-% \IEEEeqnarrayboxt depending on the math mode.
-% The third optional argument specifies the width this box is to be set to -
-% natural width is the default.
-% The * forms do not add \jot line spacing
-% usage: \IEEEeqnarraybox[decl][pos][width]{cols}
-\def\IEEEeqnarrayboxm{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarrayboxt{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarraybox{\@IEEEeqnarraystarformfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox}
-
-\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarraystarformtrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox}
-
-% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $} 
-% for \vcenter in non-math mode
-\newif\if@IEEEeqnarrayboxHBOXSW%
-\@IEEEeqnarrayboxHBOXSWfalse
-
-\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}}
-\def\@@IEEEeqnarraybox[#1]{\relax\@ifnextchar[{\@@@IEEEeqnarraybox[#1]}{\@@@IEEEeqnarraybox[#1][b]}}
-\def\@@@IEEEeqnarraybox[#1][#2]{\relax\@ifnextchar[{\@@@@IEEEeqnarraybox[#1][#2]}{\@@@@IEEEeqnarraybox[#1][#2][\relax]}}
-
-% #1 = decl; #2 = t,b,c; #3 = width, #4 = col specs
-\def\@@@@IEEEeqnarraybox[#1][#2][#3]#4{\@IEEEeqnarrayISinnerfalse % not yet within the lines of the halign
-   \@IEEEeqnarraymasterstrutsave% save current master strut values
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax%
-   \lineskiplimit=0pt\relax%
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\IEEEnormaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   % the default end glues are zero for an \IEEEeqnarraybox
-   \edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPzero}% default start glue
-   \edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPzero}% default end glue
-   \edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-   \@advanceIEEEeqncolcntfalse% do not advance the col counter for each col the user uses, 
-                              % used in \IEEEeqnarraymulticol and in the preamble build
-   \IEEEeqnarrayboxdecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarrayboxcr% replace newline with one that allows optional spacing
-   \@IEEEbuildpreamble #4\end\relax% build the preamble and put it into \@IEEEtrantmptoksA
-   % add an isolation column to the preamble to stop \\'s {} from getting into the last col
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % add the isolation column to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}% 
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the alignment
-   \everycr{}%
-   % use only the very first token to determine the positioning
-   % this stops some problems when the user uses more than one letter,
-   % but is probably not worth the effort
-   % \noindent is used as a delimiter
-   \def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-   \@IEEEgrabfirstoken#2\relax\relax\noindent
-   % \@IEEEgrabbedfirstoken has the first token, the rest are discarded
-   % if we need to put things into and hbox and go into math mode, do so now
-   \if@IEEEeqnarrayboxHBOXSW \leavevmode \hbox \bgroup $\fi%
-   % use the appropriate vbox type
-   \if\@IEEEgrabbedfirstoken t\relax\vtop\else\if\@IEEEgrabbedfirstoken c\relax%
-   \vcenter\else\vbox\fi\fi\bgroup%
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   \ifx#3\relax\halign\else\halign to #3\relax\fi%
-   \bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% carry strut status and enter the isolation/strut column, 
-% exit from math mode if needed, and exit
-\def\end@IEEEeqnarraybox{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-\@IEEEeqnarraymasterstrutrestore% restore the previous master strut values
-% reset the strut system for next IEEEeqnarray
-% (sets local strut values back to previous master strut values)
-\@IEEEeqnarraystrutreset%
-% ensure last line, exit from halign, close vbox
-\crcr\egroup\egroup%
-% exit from math mode and close hbox if needed
-\if@IEEEeqnarrayboxHBOXSW $\egroup\fi}
-
-
-
-% IEEEeqnarraybox uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% For IEEEeqnarraybox, \\* is the same as \\
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the isolation/strut column
-% carry strut status into isolation/strut column
-\def\@IEEEeqnarrayboxcr{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-% reset the strut system for next line or IEEEeqnarray
-\@IEEEeqnarraystrutreset%
-{\ifnum0=`}\fi%
-\@ifstar{\@IEEEeqnarrayboxYCR}{\@IEEEeqnarrayboxYCR}}
-
-% test and setup the optional argument to \\[]
-\def\@IEEEeqnarrayboxYCR{\@testopt\@IEEEeqnarrayboxXCR\z@skip}
-
-% IEEEeqnarraybox does not automatically increase line spacing by \jot
-\def\@IEEEeqnarrayboxXCR[#1]{\ifnum0=`{\fi}%
-\cr\noalign{\if@IEEEeqnarraystarform\else\vskip\jot\fi\vskip#1\relax}}
-
-
-
-% starts the halign preamble build
-\def\@IEEEbuildpreamble{\@IEEEtrantmptoksA={}% clear token register
-\let\@IEEEBPcurtype=u%current column type is not yet known
-\let\@IEEEBPprevtype=s%the previous column type was the start
-\let\@IEEEBPnexttype=u%next column type is not yet known
-% ensure these are valid
-\def\@IEEEBPcurglue={0pt plus 0pt minus 0pt}%
-\def\@IEEEBPcurcolname{@IEEEdefault}% name of current column definition
-% currently acquired numerically referenced glue
-% use a name that is easier to remember
-\let\@IEEEBPcurnum=\@IEEEtrantmpcountA%
-\@IEEEBPcurnum=0%
-% tracks number of columns in the preamble
-\@IEEEeqnnumcols=0%
-% record the default end glues
-\edef\@IEEEBPstartglue{\@IEEEeqnarraycolSEPdefaultstart}%
-\edef\@IEEEBPendglue{\@IEEEeqnarraycolSEPdefaultend}%
-% now parse the user's column specifications
-\@@IEEEbuildpreamble}
-
-
-% parses and builds the halign preamble
-\def\@@IEEEbuildpreamble#1#2{\let\@@nextIEEEbuildpreamble=\@@IEEEbuildpreamble%
-% use only the very first token to check the end
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-\ifx\@IEEEgrabbedfirstoken\end\let\@@nextIEEEbuildpreamble=\@@IEEEfinishpreamble\else%
-% identify current and next token type
-\@IEEEgetcoltype{#1}{\@IEEEBPcurtype}{1}% current, error on invalid
-\@IEEEgetcoltype{#2}{\@IEEEBPnexttype}{0}% next, no error on invalid next
-% if curtype is a glue, get the glue def
-\if\@IEEEBPcurtype g\@IEEEgetcurglue{#1}{\@IEEEBPcurglue}\fi%
-% if curtype is a column, get the column def and set the current column name
-\if\@IEEEBPcurtype c\@IEEEgetcurcol{#1}\fi%
-% if curtype is a numeral, acquire the user defined glue
-\if\@IEEEBPcurtype n\@IEEEprocessNcol{#1}\fi%
-% process the acquired glue 
-\if\@IEEEBPcurtype g\@IEEEprocessGcol\fi%
-% process the acquired col 
-\if\@IEEEBPcurtype c\@IEEEprocessCcol\fi%
-% ready prevtype for next col spec.
-\let\@IEEEBPprevtype=\@IEEEBPcurtype%
-% be sure and put back the future token(s) as a group
-\fi\@@nextIEEEbuildpreamble{#2}}
-
-
-% executed just after preamble build is completed
-% warn about zero cols, and if prevtype type = u, put in end tabskip glue
-\def\@@IEEEfinishpreamble#1{\ifnum\@IEEEeqnnumcols<1\relax
-\@IEEEclspkgerror{No column specifiers declared for IEEEeqnarray}%
-{At least one column type must be declared for each IEEEeqnarray.}%
-\fi%num cols less than 1
-%if last type undefined, set default end tabskip glue
-\if\@IEEEBPprevtype u\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue}\fi}
-
-
-% Identify and return the column specifier's type code
-\def\@IEEEgetcoltype#1#2#3{%
-% use only the very first token to determine the type
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% \@IEEEgrabfirstoken has the first token, the rest are discarded
-% n = number
-% g = glue (any other char in catagory 12)
-% c = letter
-% e = \end
-% u = undefined
-% third argument: 0 = no error message, 1 = error on invalid char
-\let#2=u\relax% assume invalid until know otherwise
-\ifx\@IEEEgrabbedfirstoken\end\let#2=e\else
-\ifcat\@IEEEgrabbedfirstoken\relax\else% screen out control sequences
-\if0\@IEEEgrabbedfirstoken\let#2=n\else
-\if1\@IEEEgrabbedfirstoken\let#2=n\else
-\if2\@IEEEgrabbedfirstoken\let#2=n\else
-\if3\@IEEEgrabbedfirstoken\let#2=n\else
-\if4\@IEEEgrabbedfirstoken\let#2=n\else
-\if5\@IEEEgrabbedfirstoken\let#2=n\else
-\if6\@IEEEgrabbedfirstoken\let#2=n\else
-\if7\@IEEEgrabbedfirstoken\let#2=n\else
-\if8\@IEEEgrabbedfirstoken\let#2=n\else
-\if9\@IEEEgrabbedfirstoken\let#2=n\else
-\ifcat,\@IEEEgrabbedfirstoken\let#2=g\relax
-\else\ifcat a\@IEEEgrabbedfirstoken\let#2=c\relax\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-\if#2u\relax
-\if0\noexpand#3\relax\else\@IEEEclspkgerror{Invalid character in column specifications}%
-{Only letters, numerals and certain other symbols are allowed \MessageBreak
-as IEEEeqnarray column specifiers.}\fi\fi}
-
-
-% identify the current letter referenced column
-% if invalid, use a default column
-\def\@IEEEgetcurcol#1{\expandafter\ifx\csname @IEEEeqnarraycolDEF#1\endcsname\@IEEEeqnarraycolisdefined%
-\def\@IEEEBPcurcolname{#1}\else% invalid column name
-\@IEEEclspkgerror{Invalid column type "#1" in column specifications.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\def\@IEEEBPcurcolname{@IEEEdefault}\fi}
-
-
-% identify and return the predefined (punctuation) glue value
-\def\@IEEEgetcurglue#1#2{%
-% ! = \! (neg small)  -0.16667em (-3/18 em)
-% , = \, (small)       0.16667em ( 3/18 em)
-% : = \: (med)         0.22222em ( 4/18 em)
-% ; = \; (large)       0.27778em ( 5/18 em)
-% ' = \quad            1em
-% " = \qquad           2em
-% . = 0.5\arraycolsep
-% / = \arraycolsep
-% ? = 2\arraycolsep
-% * = 1fil
-% + = \@IEEEeqnarraycolSEPcenter
-% - = \@IEEEeqnarraycolSEPzero
-% Note that all em values are referenced to the math font (textfont2) fontdimen6
-% value for 1em.
-% 
-% use only the very first token to determine the type
-% this prevents errant tokens from getting in the main text
-% \noindent is used as a delimiter here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% get the math font 1em value
-% LaTeX2e's NFSS2 does not preload the fonts, but \IEEEeqnarray needs
-% to gain access to the math (\textfont2) font's spacing parameters.
-% So we create a bogus box here that uses the math font to ensure
-% that \textfont2 is loaded and ready. If this is not done,
-% the \textfont2 stuff here may not work.
-% Thanks to Bernd Raichle for his 1997 post on this topic.
-{\setbox0=\hbox{$\displaystyle\relax$}}%
-% fontdimen6 has the width of 1em (a quad).
-\@IEEEtrantmpdimenA=\fontdimen6\textfont2\relax%
-% identify the glue value based on the first token
-% we discard anything after the first
-\if!\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if,\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if:\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if;\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if'\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if"\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if.\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if/\@IEEEgrabbedfirstoken\edef#2{\the\arraycolsep}\else
-\if?\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if *\@IEEEgrabbedfirstoken\edef#2{0pt plus 1fil minus 0pt}\else
-\if+\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else
-\if-\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPzero}\else
-\edef#2{\@IEEEeqnarraycolSEPzero}%
-\@IEEEclspkgerror{Invalid predefined inter-column glue type "#1" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{Only !,:;'"./?*+ and - are valid predefined glue types in the\MessageBreak 
-IEEEeqnarray column specifications.}\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
-
-
-
-% process a numerical digit from the column specification
-% and look up the corresponding user defined glue value
-% can transform current type from n to g or a as the user defined glue is acquired
-\def\@IEEEprocessNcol#1{\if\@IEEEBPprevtype g%
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak 
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue, future digits will be discarded
-\@IEEEBPcurnum=0\relax%
-\else% if we previously aborted a glue
-\if\@IEEEBPprevtype a\@IEEEBPcurnum=0\let\@IEEEBPcurtype=a%maintain digit abortion
-\else%acquire this number
-% save the previous type before the numerical digits started
-\if\@IEEEBPprevtype n\else\let\@IEEEBPprevsavedtype=\@IEEEBPprevtype\fi%
-\multiply\@IEEEBPcurnum by 10\relax%
-\advance\@IEEEBPcurnum by #1\relax% add in number, \relax is needed to stop TeX's number scan
-\if\@IEEEBPnexttype n\else%close acquisition
-\expandafter\ifx\csname @IEEEeqnarraycolSEPDEF\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname\@IEEEeqnarraycolisdefined%
-\edef\@IEEEBPcurglue{\csname @IEEEeqnarraycolSEP\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname}%
-\else%user glue not defined
-\@IEEEclspkgerror{Invalid user defined inter-column glue type "\number\@IEEEBPcurnum" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{You must define all IEEEeqnarray numerical inter-column glue types via\MessageBreak
-\string\IEEEeqnarraydefcolsep \space before they are used in column specifications.}%
-\edef\@IEEEBPcurglue{\@IEEEeqnarraycolSEPzero}%
-\fi% glue defined or not
-\let\@IEEEBPcurtype=g% change the type to reflect the acquired glue
-\let\@IEEEBPprevtype=\@IEEEBPprevsavedtype% restore the prev type before this number glue
-\@IEEEBPcurnum=0\relax%ready for next acquisition
-\fi%close acquisition, get glue
-\fi%discard or acquire number
-\fi%prevtype glue or not
-}
-
-
-% process an acquired glue
-% add any acquired column/glue pair to the preamble
-\def\@IEEEprocessGcol{\if\@IEEEBPprevtype a\let\@IEEEBPcurtype=a%maintain previous glue abortions
-\else
-% if this is the start glue, save it, but do nothing else 
-% as this is not used in the preamble, but before
-\if\@IEEEBPprevtype s\edef\@IEEEBPstartglue{\@IEEEBPcurglue}%
-\else%not the start glue
-\if\@IEEEBPprevtype g%ignore if back to back glues
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak 
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\else% not a back to back glue
-\if\@IEEEBPprevtype c\relax% if the previoustype was a col, add column/glue pair to preamble
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column defintion into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendtoksA{\tabskip=\@IEEEBPcurglue}%
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\else% error: non-start glue with no pending column
-\@IEEEclspkgerror{Inter-column glue specifier without a prior column\MessageBreak
-type in the column specifications. Ignoring this glue\MessageBreak 
-specifier}%
-{Except for the first and last positions, glue can be placed only\MessageBreak
-between column types.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\fi% previous was a column
-\fi% back-to-back glues
-\fi% is start column glue
-\fi% prev type not a
-}
-
-
-% process an acquired letter referenced column and, if necessary, add it to the preamble
-\def\@IEEEprocessCcol{\if\@IEEEBPnexttype g\else
-\if\@IEEEBPnexttype n\else
-% we have a column followed by something other than a glue (or numeral glue)
-% so we must add this column to the preamble now
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi%col separator for those after the first
-\if\@IEEEBPnexttype e\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue\relax}\else%put in end glue
-\@IEEEappendtoksA{\tabskip=\@IEEEeqnarraycolSEPdefaultmid\relax}\fi% or default mid glue
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column definition into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\fi%next type not numeral
-\fi%next type not glue
-}
-
-
-%%
-%% END OF IEEEeqnarry DEFINITIONS
-%%
-
-
-
-
-% set up the running headings, this complex because of all the different
-% modes IEEEtran supports
-\if@twoside
- \ifCLASSOPTIONtechnote
-   \def\ps@headings{%
-       \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-       \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \ifCLASSOPTIONdraftcls
-            \ifCLASSOPTIONdraftclsnofoot
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \else
-               \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
-               \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}
-       \fi}
- \else % not a technote
-   \def\ps@headings{%
-       \ifCLASSOPTIONconference
-        \def\@oddhead{}
-        \def\@evenhead{}
-       \else
-        \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
-        \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \fi
-       \ifCLASSOPTIONdraftcls
-            \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
-            \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-            \ifCLASSOPTIONdraftclsnofoot
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \else
-               \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
-               \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}%
-       \fi}
- \fi
-\else % single side
-\def\ps@headings{%
-    \ifCLASSOPTIONconference
-     \def\@oddhead{}
-     \def\@evenhead{}
-    \else
-     \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-     \def\@evenhead{}
-    \fi
-    \ifCLASSOPTIONdraftcls
-          \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-          \def\@evenhead{}
-          \ifCLASSOPTIONdraftclsnofoot
-             \def\@oddfoot{}
-          \else
-             \def\@oddfoot{\scriptsize \@date \hfil DRAFT}
-          \fi
-    \else
-         \def\@oddfoot{}
-    \fi
-    \def\@evenfoot{}}
-\fi
-
-
-% title page style
-\def\ps@IEEEtitlepagestyle{\def\@oddfoot{}\def\@evenfoot{}%
-\ifCLASSOPTIONconference
-   \def\@oddhead{}%
-   \def\@evenhead{}%
-\else
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-\fi
-\ifCLASSOPTIONdraftcls
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-   \ifCLASSOPTIONdraftclsnofoot\else
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
-\else
-   % all non-draft mode footers
-   \if@IEEEusingpubid
-      % for title pages that are using a pubid
-      % do not repeat pubid if using peer review option
-      \ifCLASSOPTIONpeerreview
-      \else
-         \footskip 0pt%
-         \ifCLASSOPTIONcompsoc
-           \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-           \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-         \else
-           \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-           \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-         \fi
-      \fi
-   \fi
-\fi}
-
-
-% peer review cover page style
-\def\ps@IEEEpeerreviewcoverpagestyle{%
-\def\@oddhead{}\def\@evenhead{}%
-\def\@oddfoot{}\def\@evenfoot{}%
-\ifCLASSOPTIONdraftcls
-   \ifCLASSOPTIONdraftclsnofoot\else
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
-\else
-   % non-draft mode footers
-   \if@IEEEusingpubid
-      \footskip 0pt%
-      \ifCLASSOPTIONcompsoc
-        \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-        \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-      \else
-        \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-        \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-      \fi
-   \fi
-\fi}
-
-
-% start with empty headings
-\def\rightmark{}\def\leftmark{}
-
-
-%% Defines the command for putting the header. \footernote{TEXT} is the same
-%% as \markboth{TEXT}{TEXT}. 
-%% Note that all the text is forced into uppercase, if you have some text
-%% that needs to be in lower case, for instance et. al., then either manually
-%% set \leftmark and \rightmark or use \MakeLowercase{et. al.} within the
-%% arguments to \markboth.
-\def\markboth#1#2{\def\leftmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#1}}%
-\def\rightmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#2}}}
-\def\footernote#1{\markboth{#1}{#1}}
-
-\def\today{\ifcase\month\or
-    January\or February\or March\or April\or May\or June\or
-    July\or August\or September\or October\or November\or December\fi
-    \space\number\day, \number\year}
-
-
-
-
-%% CITATION AND BIBLIOGRAPHY COMMANDS
-%% 
-%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff
-% 
-% 
-% Modify Latex2e \@citex to separate citations with "], ["
-\def\@citex[#1]#2{%
-  \let\@citea\@empty
-  \@cite{\@for\@citeb:=#2\do
-    {\@citea\def\@citea{], [}%
-     \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}%
-     \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
-     \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}%
-       \G@refundefinedtrue
-       \@latex@warning
-         {Citation `\@citeb' on page \thepage \space undefined}}%
-       {\hbox{\csname b@\@citeb\endcsname}}}}{#1}}
-
-% V1.6 we create hooks for the optional use of Donald Arseneau's
-% cite.sty package. cite.sty is "smart" and will notice that the
-% following format controls are already defined and will not
-% redefine them. The result will be the proper sorting of the
-% citation numbers and auto detection of 3 or more entry "ranges" -
-% all in IEEE style:  [1], [2], [5]--[7], [12]
-% This also allows for an optional note, i.e., \cite[mynote]{..}.
-% If the \cite with note has more than one reference, the note will
-% be applied to the last of the listed references. It is generally
-% desired that if a note is given, only one reference is listed in
-% that \cite.
-% Thanks to Mr. Arseneau for providing the required format arguments
-% to produce the IEEE style.
-\def\citepunct{], [}
-\def\citedash{]--[}
-
-% V1.7 default to using same font for urls made by url.sty
-\AtBeginDocument{\csname url@samestyle\endcsname}
-
-% V1.6 class files should always provide these
-\def\newblock{\hskip .11em\@plus.33em\@minus.07em}
-\let\@openbib@code\@empty
-
-
-% Provide support for the control entries of IEEEtran.bst V1.00 and later.
-% V1.7 optional argument allows for a different aux file to be specified in
-% order to handle multiple bibliographies. For example, with multibib.sty:
-% \newcites{sec}{Secondary Literature}
-% \bstctlcite[@auxoutsec]{BSTcontrolhak}
-\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}
-\def\@bstctlcite[#1]#2{\@bsphack
-  \@for\@citeb:=#2\do{%
-    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%
-  \@esphack}
-
-% V1.6 provide a way for a user to execute a command just before 
-% a given reference number - used to insert a \newpage to balance
-% the columns on the last page
-\edef\@IEEEtriggerrefnum{0}   % the default of zero means that
-                              % the command is not executed
-\def\@IEEEtriggercmd{\newpage}
-
-% allow the user to alter the triggered command
-\long\def\IEEEtriggercmd#1{\long\def\@IEEEtriggercmd{#1}}
-
-% allow user a way to specify the reference number just before the
-% command is executed
-\def\IEEEtriggeratref#1{\@IEEEtrantmpcountA=#1%
-\edef\@IEEEtriggerrefnum{\the\@IEEEtrantmpcountA}}%
-
-% trigger command at the given reference
-\def\@IEEEbibitemprefix{\@IEEEtrantmpcountA=\@IEEEtriggerrefnum\relax%
-\advance\@IEEEtrantmpcountA by -1\relax%
-\ifnum\c@enumiv=\@IEEEtrantmpcountA\relax\@IEEEtriggercmd\relax\fi}
-
-
-\def\@biblabel#1{[#1]}
-
-% compsoc journals left align the reference numbers
-\@IEEEcompsocnotconfonly{\def\@biblabel#1{[#1]\hfill}}
-
-% controls bib item spacing
-\def\IEEEbibitemsep{2.5pt plus .5pt}
-
-\@IEEEcompsocconfonly{\def\IEEEbibitemsep{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}}
-
-
-\def\thebibliography#1{\section*{\refname}%
-    \addcontentsline{toc}{section}{\refname}%
-    % V1.6 add some rubber space here and provide a command trigger
-    \footnotesize\@IEEEcompsocconfonly{\small}\vskip 0.3\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip%
-    \list{\@biblabel{\@arabic\c@enumiv}}%
-    {\settowidth\labelwidth{\@biblabel{#1}}%
-    \leftmargin\labelwidth
-    \labelsep 1em
-    \advance\leftmargin\labelsep\relax
-    \itemsep \IEEEbibitemsep\relax
-    \usecounter{enumiv}%
-    \let\p@enumiv\@empty
-    \renewcommand\theenumiv{\@arabic\c@enumiv}}%
-    \let\@IEEElatexbibitem\bibitem%
-    \def\bibitem{\@IEEEbibitemprefix\@IEEElatexbibitem}%
-\def\newblock{\hskip .11em plus .33em minus .07em}%
-% originally:
-%   \sloppy\clubpenalty4000\widowpenalty4000%
-% by adding the \interlinepenalty here, we make it more
-% difficult, but not impossible, for LaTeX to break within a reference.
-% IEEE almost never breaks a reference (but they do it more often with
-% technotes). You may get an underfull vbox warning around the bibliography, 
-% but the final result will be much more like what IEEE will publish. 
-% MDS 11/2000
-\ifCLASSOPTIONtechnote\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty100%
-\else\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty500\fi%
-    \sfcode`\.=1000\relax}
-\let\endthebibliography=\endlist
-
-
-
-
-% TITLE PAGE COMMANDS
-% 
-% 
-% \IEEEmembership is used to produce the sublargesize italic font used to indicate author 
-% IEEE membership. compsoc uses a large size sans slant font
-\def\IEEEmembership#1{{\@IEEEnotcompsoconly{\sublargesize}\normalfont\@IEEEcompsoconly{\sffamily}\textit{#1}}}
- 
-
-% \IEEEauthorrefmark{} produces a footnote type symbol to indicate author affiliation.
-% When given an argument of 1 to 9, \IEEEauthorrefmark{} follows the standard LaTeX footnote
-% symbol sequence convention. However, for arguments 10 and above, \IEEEauthorrefmark{} 
-% reverts to using lower case roman numerals, so it cannot overflow. Do note that you 
-% cannot use \footnotemark[] in place of \IEEEauthorrefmark{} within \author as the footnote
-% symbols will have been turned off to prevent \thanks from creating footnote marks.
-% \IEEEauthorrefmark{} produces a symbol that appears to LaTeX as having zero vertical
-% height - this allows for a more compact line packing, but the user must ensure that
-% the interline spacing is large enough to prevent \IEEEauthorrefmark{} from colliding
-% with the text above.
-% V1.7 make this a robust command
-\DeclareRobustCommand*{\IEEEauthorrefmark}[1]{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or%
-    \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger%
-    \or \ddagger\ddagger \else\textsuperscript{\expandafter\romannumeral#1}\fi}}}}
-
-
-% FONT CONTROLS AND SPACINGS FOR CONFERENCE MODE AUTHOR NAME AND AFFILIATION BLOCKS
-% 
-% The default font styles for the author name and affiliation blocks (confmode)
-\def\@IEEEauthorblockNstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize\@IEEEcompsocconfonly{\large}}
-\def\@IEEEauthorblockAstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\@IEEEcompsocconfonly{\itshape}\normalsize\@IEEEcompsocconfonly{\large}}
-% The default if the user does not use an author block
-\def\@IEEEauthordefaulttextstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize}
-
-% spacing from title (or special paper notice) to author name blocks (confmode)
-% can be negative
-\def\@IEEEauthorblockconfadjspace{-0.25em}
-% compsoc conferences need more space here
-\@IEEEcompsocconfonly{\def\@IEEEauthorblockconfadjspace{0.75\@IEEEnormalsizeunitybaselineskip}}
-\ifCLASSOPTIONconference\def\@IEEEauthorblockconfadjspace{20pt}\fi
-
-% spacing between name and affiliation blocks (confmode)
-% This can be negative.
-% IEEE doesn't want any added spacing here, but I will leave these
-% controls in place in case they ever change their mind.
-% Personally, I like 0.75ex.
-%\def\@IEEEauthorblockNtopspace{0.75ex}
-%\def\@IEEEauthorblockAtopspace{0.75ex}
-\def\@IEEEauthorblockNtopspace{0.0ex}
-\def\@IEEEauthorblockAtopspace{0.0ex}
-% baseline spacing within name and affiliation blocks (confmode)
-% must be positive, spacings below certain values will make 
-% the position of line of text sensitive to the contents of the
-% line above it i.e., whether or not the prior line has descenders, 
-% subscripts, etc. For this reason it is a good idea to keep
-% these above 2.6ex
-\def\@IEEEauthorblockNinterlinespace{2.6ex}
-\def\@IEEEauthorblockAinterlinespace{2.75ex}
-
-% This tracks the required strut size.
-% See the \@IEEEauthorhalign command for the actual default value used.
-\def\@IEEEauthorblockXinterlinespace{2.7ex}
-
-% variables to retain font size and style across groups
-% values given here have no effect as they will be overwritten later
-\gdef\@IEEESAVESTATEfontsize{10}
-\gdef\@IEEESAVESTATEfontbaselineskip{12}
-\gdef\@IEEESAVESTATEfontencoding{OT1}
-\gdef\@IEEESAVESTATEfontfamily{ptm}
-\gdef\@IEEESAVESTATEfontseries{m}
-\gdef\@IEEESAVESTATEfontshape{n}
-
-% saves the current font attributes
-\def\@IEEEcurfontSAVE{\global\let\@IEEESAVESTATEfontsize\f@size%
-\global\let\@IEEESAVESTATEfontbaselineskip\f@baselineskip%
-\global\let\@IEEESAVESTATEfontencoding\f@encoding%
-\global\let\@IEEESAVESTATEfontfamily\f@family%
-\global\let\@IEEESAVESTATEfontseries\f@series%
-\global\let\@IEEESAVESTATEfontshape\f@shape}
-
-% restores the saved font attributes
-\def\@IEEEcurfontRESTORE{\fontsize{\@IEEESAVESTATEfontsize}{\@IEEESAVESTATEfontbaselineskip}%
-\fontencoding{\@IEEESAVESTATEfontencoding}%
-\fontfamily{\@IEEESAVESTATEfontfamily}%
-\fontseries{\@IEEESAVESTATEfontseries}%
-\fontshape{\@IEEESAVESTATEfontshape}%
-\selectfont}
-
-
-% variable to indicate if the current block is the first block in the column
-\newif\if@IEEEprevauthorblockincol   \@IEEEprevauthorblockincolfalse
-
-
-% the command places a strut with height and depth = \@IEEEauthorblockXinterlinespace
-% we use this technique to have complete manual control over the spacing of the lines
-% within the halign environment.
-% We set the below baseline portion at 30%, the above
-% baseline portion at 70% of the total length.
-% Responds to changes in the document's \baselinestretch
-\def\@IEEEauthorstrutrule{\@IEEEtrantmpdimenA\@IEEEauthorblockXinterlinespace%
-\@IEEEtrantmpdimenA=\baselinestretch\@IEEEtrantmpdimenA%
-\rule[-0.3\@IEEEtrantmpdimenA]{0pt}{\@IEEEtrantmpdimenA}}
-
-
-% blocks to hold the authors' names and affilations. 
-% Makes formatting easy for conferences
-%
-% use real definitions in conference mode
-% name block
-\def\IEEEauthorblockN#1{\relax\@IEEEauthorblockNstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}% disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockNtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockNinterlinespace}%
-% input the author names
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for names
-\def\@IEEEauthorblockNtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockNtopspace}}
-%
-% affiliation block
-\def\IEEEauthorblockA#1{\relax\@IEEEauthorblockAstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}%disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockAtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockAinterlinespace}%
-% input the author affiliations
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for affiliations
-\def\@IEEEauthorblockAtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockAtopspace}}
-
-
-% allow papers to compile even if author blocks are used in modes other
-% than conference or peerreviewca. For such cases, we provide dummy blocks.
-\ifCLASSOPTIONconference
-\else
-   \ifCLASSOPTIONpeerreviewca\else
-      % not conference or peerreviewca mode
-      \def\IEEEauthorblockN#1{#1}%
-      \def\IEEEauthorblockA#1{#1}%
-   \fi
-\fi
-
-
-
-% we provide our own halign so as not to have to depend on tabular
-\def\@IEEEauthorhalign{\@IEEEauthordefaulttextstyle% default text style
-   \lineskip=0pt\relax% disable line spacing
-   \lineskiplimit=0pt\relax%
-   \baselineskip=0pt\relax%
-   \@IEEEcurfontSAVE% save the current font
-   \mathsurround\z@\relax% no extra spacing around math
-   \let\\\@IEEEauthorhaligncr% replace newline with halign friendly one
-   \tabskip=0pt\relax% no column spacing
-   \everycr{}% ensure no problems here
-   \@IEEEprevauthorblockincolfalse% no author blocks yet
-   \def\@IEEEauthorblockXinterlinespace{2.7ex}% default interline space
-   \vtop\bgroup%vtop box
-   \halign\bgroup&\relax\hfil\@IEEEcurfontRESTORE\relax ##\relax
-   \hfil\@IEEEcurfontSAVE\@IEEEauthorstrutrule\cr}
-
-% ensure last line, exit from halign, close vbox
-\def\end@IEEEauthorhalign{\crcr\egroup\egroup}
-
-% handle bogus star form
-\def\@IEEEauthorhaligncr{{\ifnum0=`}\fi\@ifstar{\@@IEEEauthorhaligncr}{\@@IEEEauthorhaligncr}}
-
-% test and setup the optional argument to \\[]
-\def\@@IEEEauthorhaligncr{\@testopt\@@@IEEEauthorhaligncr\z@skip}
-
-% end the line and do the optional spacer
-\def\@@@IEEEauthorhaligncr[#1]{\ifnum0=`{\fi}\cr\noalign{\vskip#1\relax}}
-
-
-
-% flag to prevent multiple \and warning messages
-\newif\if@IEEEWARNand
-\@IEEEWARNandtrue
-
-% if in conference or peerreviewca modes, we support the use of \and as \author is a
-% tabular environment, otherwise we warn the user that \and is invalid
-% outside of conference or peerreviewca modes.
-\def\and{\relax} % provide a bogus \and that we will then override
-
-\renewcommand{\and}[1][\relax]{\if@IEEEWARNand\typeout{** WARNING: \noexpand\and is valid only
-                               when in conference or peerreviewca}\typeout{modes (line \the\inputlineno).}\fi\global\@IEEEWARNandfalse}
-
-\ifCLASSOPTIONconference%
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-\ifCLASSOPTIONpeerreviewca
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-
-
-% page clearing command
-% based on LaTeX2e's \cleardoublepage, but allows different page styles
-% for the inserted blank pages
-\def\@IEEEcleardoublepage#1{\clearpage\if@twoside\ifodd\c@page\else
-\hbox{}\thispagestyle{#1}\newpage\if@twocolumn\hbox{}\thispagestyle{#1}\newpage\fi\fi\fi}
-
-
-% user command to invoke the title page
-\def\maketitle{\par%
-  \begingroup%
-  \normalfont%
-  \def\thefootnote{}%  the \thanks{} mark type is empty
-  \def\footnotemark{}% and kill space from \thanks within author
-  \let\@makefnmark\relax% V1.7, must *really* kill footnotemark to remove all \textsuperscript spacing as well.
-  \footnotesize%       equal spacing between thanks lines
-  \footnotesep 0.7\baselineskip%see global setting of \footnotesep for more info
-  % V1.7 disable \thanks note indention for compsoc
-  \@IEEEcompsoconly{\long\def\@makefntext##1{\parindent 1em\noindent\hbox{\@makefnmark}##1}}%
-  \normalsize%
-  \ifCLASSOPTIONpeerreview
-     \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \thispagestyle{IEEEpeerreviewcoverpagestyle}\@thanks%
-  \else
-     \if@twocolumn%
-        \ifCLASSOPTIONtechnote%
-           \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-        \else
-           \twocolumn[\@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext]%
-        \fi
-     \else
-        \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \fi
-     \thispagestyle{IEEEtitlepagestyle}\@thanks%
-  \fi
-  % pullup page for pubid if used.
-  \if@IEEEusingpubid
-     \enlargethispage{-\@IEEEpubidpullup}%
-  \fi 
-  \endgroup
-  \setcounter{footnote}{0}\let\maketitle\relax\let\@maketitle\relax
-  \gdef\@thanks{}%
-  % v1.6b do not clear these as we will need the title again for peer review papers
-  % \gdef\@author{}\gdef\@title{}%
-  \let\thanks\relax}
-
-
-
-% V1.7 parbox to format \@IEEEcompsoctitleabstractindextext
-\long\def\@IEEEcompsoctitleabstractindextextbox#1{\parbox{0.915\textwidth}{#1}}
-
-% formats the Title, authors names, affiliations and special paper notice
-% THIS IS A CONTROLLED SPACING COMMAND! Do not allow blank lines or unintentional
-% spaces to enter the definition - use % at the end of each line
-\def\@maketitle{\newpage
-\begingroup\centering
-\ifCLASSOPTIONtechnote% technotes
-   {\bfseries\large\@IEEEcompsoconly{\sffamily}\@title\par}\vskip 1.3em{\lineskip .5em\@IEEEcompsoconly{\sffamily}\@author
-   \@IEEEspecialpapernotice\par{\@IEEEcompsoconly{\vskip 1.5em\relax
-   \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par
-   \hfill\@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-\else% not a technote
-   \vskip0.2em{\Huge\@IEEEcompsoconly{\sffamily}\@IEEEcompsocconfonly{\normalfont\normalsize\vskip 2\@IEEEnormalsizeunitybaselineskip
-   \bfseries\Large}\@title\par}\vskip1.0em\par%
-   % V1.6 handle \author differently if in conference mode
-   \ifCLASSOPTIONconference%
-      {\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-       \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}\relax
-   \else% peerreviewca, peerreview or journal
-      \ifCLASSOPTIONpeerreviewca
-         % peerreviewca handles author names just like conference mode
-         {\@IEEEcompsoconly{\sffamily}\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-          \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par
-          {\@IEEEcompsoconly{\vskip 1.5em\relax
-           \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill
-           \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-      \else% journal or peerreview
-         {\lineskip.5em\@IEEEcompsoconly{\sffamily}\sublargesize\@author\@IEEEspecialpapernotice\par
-          {\@IEEEcompsoconly{\vskip 1.5em\relax
-           \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill
-           \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-      \fi
-   \fi
-\fi\par\endgroup}
-
-
-
-% V1.7 Computer Society "diamond line" which follows index terms for nonconference papers
-\def\@IEEEcompsocdiamondline{\vrule depth 0pt height 0.5pt width 4cm\hspace{7.5pt}%
-\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}%
-\hspace{7.5pt}\vrule depth 0pt height 0.5pt width 4cm\relax}
-
-% V1.7 standard LateX2e \thanks, but with \itshape under compsoc. Also make it a \long\def
-% We also need to trigger the one-shot footnote rule
-\def\@IEEEtriggeroneshotfootnoterule{\global\@IEEEenableoneshotfootnoteruletrue}
-
-
-\long\def\thanks#1{\footnotemark
-    \protected@xdef\@thanks{\@thanks
-        \protect\footnotetext[\the\c@footnote]{\@IEEEcompsoconly{\itshape
-        \protect\@IEEEtriggeroneshotfootnoterule\relax}\ignorespaces#1}}}
-\let\@thanks\@empty
-
-% V1.7 allow \author to contain \par's. This is needed to allow \thanks to contain \par.
-\long\def\author#1{\gdef\@author{#1}}
-
-
-% in addition to setting up IEEEitemize, we need to remove a baselineskip space above and
-% below it because \list's \pars introduce blank lines because of the footnote struts.
-\def\@IEEEsetupcompsocitemizelist{\def\labelitemi{$\bullet$}%
-\setlength{\IEEElabelindent}{0pt}\setlength{\parskip}{0pt}%
-\setlength{\partopsep}{0pt}\setlength{\topsep}{0.5\baselineskip}\vspace{-1\baselineskip}\relax}
-
-
-% flag for fake non-compsoc \IEEEcompsocthanksitem - prevents line break on very first item
-\newif\if@IEEEbreakcompsocthanksitem \@IEEEbreakcompsocthanksitemfalse
-
-\ifCLASSOPTIONcompsoc
-% V1.7 compsoc bullet item \thanks
-% also, we need to redefine this to destroy the argument in \@IEEEdynamictitlevspace
-\long\def\IEEEcompsocitemizethanks#1{\relax\@IEEEbreakcompsocthanksitemfalse\footnotemark
-    \protected@xdef\@thanks{\@thanks
-        \protect\footnotetext[\the\c@footnote]{\itshape\protect\@IEEEtriggeroneshotfootnoterule
-        {\let\IEEEiedlistdecl\relax\protect\begin{IEEEitemize}[\protect\@IEEEsetupcompsocitemizelist]\ignorespaces#1\relax
-        \protect\end{IEEEitemize}}\protect\vspace{-1\baselineskip}}}}
-\DeclareRobustCommand*{\IEEEcompsocthanksitem}{\item}
-\else
-% non-compsoc, allow for dual compilation via rerouting to normal \thanks
-\long\def\IEEEcompsocitemizethanks#1{\thanks{#1}}
-% redirect to "pseudo-par" \hfil\break\indent after swallowing [] from \IEEEcompsocthanksitem[]
-\DeclareRobustCommand{\IEEEcompsocthanksitem}{\@ifnextchar [{\@IEEEthanksswallowoptionalarg}%
-{\@IEEEthanksswallowoptionalarg[\relax]}}
-% be sure and break only after first item, be sure and ignore spaces after optional argument
-\def\@IEEEthanksswallowoptionalarg[#1]{\relax\if@IEEEbreakcompsocthanksitem\hfil\break
-\indent\fi\@IEEEbreakcompsocthanksitemtrue\ignorespaces}
-\fi
-
-
-% V1.6b define the \IEEEpeerreviewmaketitle as needed
-\ifCLASSOPTIONpeerreview
-\def\IEEEpeerreviewmaketitle{\@IEEEcleardoublepage{empty}%
-\ifCLASSOPTIONtwocolumn
-\twocolumn[\@IEEEpeerreviewmaketitle\@IEEEdynamictitlevspace]
-\else
-\newpage\@IEEEpeerreviewmaketitle\@IEEEstatictitlevskip
-\fi
-\thispagestyle{IEEEtitlepagestyle}}
-\else
-% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected
-\def\IEEEpeerreviewmaketitle{\relax}
-\fi
-
-% peerreview formats the repeated title like the title in journal papers.
-\def\@IEEEpeerreviewmaketitle{\begin{center}\@IEEEcompsoconly{\sffamily}%
-\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par
-\end{center}}
-
-
-
-% V1.6 
-% this is a static rubber spacer between the title/authors and the main text
-% used for single column text, or when the title appears in the first column
-% of two column text (technotes). 
-\def\@IEEEstatictitlevskip{{\normalfont\normalsize
-% adjust spacing to next text
-% v1.6b handle peer review papers
-\ifCLASSOPTIONpeerreview
-% for peer review papers, the same value is used for both title pages
-% regardless of the other paper modes
-   \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip
-\else
-   \ifCLASSOPTIONconference% conference
-      \vskip 0.6\baselineskip
-   \else%
-      \ifCLASSOPTIONtechnote% technote
-         \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%
-      \else% journal uses more space
-         \vskip 2.5\baselineskip plus 0.75\baselineskip minus 0.375\baselineskip%
-      \fi
-   \fi
-\fi}}
-
-
-% V1.6
-% This is a dynamically determined rigid spacer between the title/authors 
-% and the main text. This is used only for single column titles over two 
-% column text (most common)
-% This is bit tricky because we have to ensure that the textheight of the
-% main text is an integer multiple of \baselineskip
-% otherwise underfull vbox problems may develop in the second column of the
-% text on the titlepage
-% The possible use of \IEEEpubid must also be taken into account.
-\def\@IEEEdynamictitlevspace{{%
-    % we run within a group so that all the macros can be forgotten when we are done
-    \long\def\thanks##1{\relax}%don't allow \thanks to run when we evaluate the vbox height
-    \long\def\IEEEcompsocitemizethanks##1{\relax}%don't allow \IEEEcompsocitemizethanks to run when we evaluate the vbox height
-    \normalfont\normalsize% we declare more descriptive variable names
-    \let\@IEEEmaintextheight=\@IEEEtrantmpdimenA%height of the main text columns
-    \let\@IEEEINTmaintextheight=\@IEEEtrantmpdimenB%height of the main text columns with integer # lines
-    % set the nominal and minimum values for the title spacer
-    % the dynamic algorithm will not allow the spacer size to
-    % become less than \@IEEEMINtitlevspace - instead it will be
-    % lengthened
-    % default to journal values
-    \def\@IEEENORMtitlevspace{2.5\baselineskip}%
-    \def\@IEEEMINtitlevspace{2\baselineskip}%
-    % conferences and technotes need tighter spacing
-    \ifCLASSOPTIONconference%conference
-     \def\@IEEENORMtitlevspace{1\baselineskip}%
-     \def\@IEEEMINtitlevspace{0.75\baselineskip}%
-    \fi
-    \ifCLASSOPTIONtechnote%technote
-      \def\@IEEENORMtitlevspace{1\baselineskip}%
-      \def\@IEEEMINtitlevspace{0.75\baselineskip}%
-    \fi%
-    % get the height that the title will take up
-    \ifCLASSOPTIONpeerreview
-       \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@IEEEpeerreviewmaketitle}}%
-    \else
-       \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@maketitle}}%
-    \fi
-    \@IEEEmaintextheight=-\@IEEEmaintextheight% title takes away from maintext, so reverse sign
-    % add the height of the page textheight
-    \advance\@IEEEmaintextheight by \textheight%
-    % correct for title pages using pubid
-    \ifCLASSOPTIONpeerreview\else
-       % peerreview papers use the pubid on the cover page only.
-       % And the cover page uses a static spacer.
-       \if@IEEEusingpubid\advance\@IEEEmaintextheight by -\@IEEEpubidpullup\fi
-    \fi%
-    % subtract off the nominal value of the title bottom spacer
-    \advance\@IEEEmaintextheight by -\@IEEENORMtitlevspace%
-    % \topskip takes away some too
-    \advance\@IEEEmaintextheight by -\topskip%
-    % calculate the column height of the main text for lines
-    % now we calculate the main text height as if holding
-    % an integer number of \normalsize lines after the first
-    % and discard any excess fractional remainder
-    % we subtracted the first line, because the first line
-    % is placed \topskip into the maintext, not \baselineskip like the
-    % rest of the lines.
-    \@IEEEINTmaintextheight=\@IEEEmaintextheight%
-    \divide\@IEEEINTmaintextheight  by \baselineskip%
-    \multiply\@IEEEINTmaintextheight  by \baselineskip%
-    % now we calculate how much the title spacer height will
-    % have to be reduced from nominal (\@IEEEREDUCEmaintextheight is always
-    % a positive value) so that the maintext area will contain an integer
-    % number of normal size lines
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@IEEEINTmaintextheight and can reuse its dimen register
-    \let\@IEEEREDUCEmaintextheight=\@IEEEINTmaintextheight%
-    \advance\@IEEEREDUCEmaintextheight by -\@IEEEmaintextheight%
-    \advance\@IEEEREDUCEmaintextheight by \baselineskip%
-    % this is the calculated height of the spacer
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@IEEEmaintextheight and can reuse its dimen register
-    \let\@IEEECOMPENSATElen=\@IEEEmaintextheight%
-    \@IEEECOMPENSATElen=\@IEEENORMtitlevspace% set the nominal value
-    % we go with the reduced length if it is smaller than an increase
-    \ifdim\@IEEEREDUCEmaintextheight < 0.5\baselineskip\relax%
-     \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%
-     % if the resulting spacer is too small back out and go with an increase instead
-     \ifdim\@IEEECOMPENSATElen<\@IEEEMINtitlevspace\relax%
-      \advance\@IEEECOMPENSATElen by \baselineskip%
-     \fi%
-    \else%
-     % go with an increase because it is closer to the nominal than a decrease
-     \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%
-     \advance\@IEEECOMPENSATElen by \baselineskip%
-    \fi%
-    % set the calculated rigid spacer
-    \vspace{\@IEEECOMPENSATElen}}}
-
-
-
-% V1.6
-% we allow the user access to the last part of the title area
-% useful in emergencies such as when a different spacing is needed
-% This text is NOT compensated for in the dynamic sizer.
-\let\@IEEEaftertitletext=\relax
-\long\def\IEEEaftertitletext#1{\def\@IEEEaftertitletext{#1}}
-
-% V1.7 provide a way for users to enter abstract and keywords
-% into the onecolumn title are. This text is compensated for
-% in the dynamic sizer.
-\let\@IEEEcompsoctitleabstractindextext=\relax
-\long\def\IEEEcompsoctitleabstractindextext#1{\def\@IEEEcompsoctitleabstractindextext{#1}}
-% V1.7 provide a way for users to get the \@IEEEcompsoctitleabstractindextext if
-% not in compsoc journal mode - this way abstract and keywords can be placed
-% in their conventional position if not in compsoc mode.
-\def\IEEEdisplaynotcompsoctitleabstractindextext{%
-\ifCLASSOPTIONcompsoc% display if compsoc conf
-\ifCLASSOPTIONconference\@IEEEcompsoctitleabstractindextext\fi
-\else% or if not compsoc
-\@IEEEcompsoctitleabstractindextext\fi}
-
-
-% command to allow alteration of baselinestretch, but only if the current
-% baselineskip is unity. Used to tweak the compsoc abstract and keywords line spacing.
-\def\@IEEEtweakunitybaselinestretch#1{{\def\baselinestretch{1}\selectfont
-\global\@tempskipa\baselineskip}\ifnum\@tempskipa=\baselineskip%
-\def\baselinestretch{#1}\selectfont\fi\relax}
-
-
-% abstract and keywords are in \small, except 
-% for 9pt docs in which they are in \footnotesize
-% Because 9pt docs use an 8pt footnotesize, \small
-% becomes a rather awkward 8.5pt
-\def\@IEEEabskeysecsize{\small}
-\ifx\CLASSOPTIONpt\@IEEEptsizenine
- \def\@IEEEabskeysecsize{\footnotesize}
-\fi
-
-% compsoc journals use \footnotesize, compsoc conferences use normalsize
-\@IEEEcompsoconly{\def\@IEEEabskeysecsize{\footnotesize}}
-\@IEEEcompsocconfonly{\def\@IEEEabskeysecsize{\normalsize}}
-
-
-
-
-% V1.6 have abstract and keywords strip leading spaces, pars and newlines
-% so that spacing is more tightly controlled.
-\def\abstract{\normalfont
-    \if@twocolumn
-      \par\@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\abstractname}---\relax
-    \else
-      \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize
-    \fi\@IEEEgobbleleadPARNLSP}
-% V1.6 IEEE wants only 1 pica from end of abstract to introduction heading when in 
-% conference mode (the heading already has this much above it)
-\def\endabstract{\relax\ifCLASSOPTIONconference\vspace{0ex}\else\vspace{1.34ex}\fi\par\if@twocolumn\else\endquotation\fi
-    \normalfont\normalsize}
-
-\def\IEEEkeywords{\normalfont
-    \if@twocolumn
-      \@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\IEEEkeywordsname}---\relax
-    \else
-      \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize
-    \fi\itshape\@IEEEgobbleleadPARNLSP}
-\def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.5ex}\fi
-    \par\if@twocolumn\else\endquotation\fi%
-    \normalfont\normalsize}
-
-% V1.7 compsoc keywords index terms
-\ifCLASSOPTIONcompsoc
-  \ifCLASSOPTIONconference% compsoc conference
-\def\abstract{\normalfont
-      \begin{center}\@IEEEabskeysecsize\textbf{\large\abstractname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip
-      \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%
-      \par\@IEEEgobbleleadPARNLSP}
-\def\IEEEkeywords{\normalfont\vskip 1.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip
-      \begin{center}\@IEEEabskeysecsize\textbf{\large\IEEEkeywordsname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip
-      \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%
-      \par\@IEEEgobbleleadPARNLSP}
-  \else% compsoc not conference
-\def\abstract{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily
-    \if@twocolumn
-      \@IEEEabskeysecsize\noindent\textbf{\abstractname}---\relax
-    \else
-      \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-\def\IEEEkeywords{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily
-    \if@twocolumn
-      \@IEEEabskeysecsize\vskip 0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\noindent
-      \textbf{\IEEEkeywordsname}---\relax
-    \else
-      \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-  \fi
-\fi
-
-
-
-% gobbles all leading \, \\ and \par, upon finding first token that
-% is not a \ , \\ or a \par, it ceases and returns that token
-% 
-% used to strip leading \, \\ and \par from the input
-% so that such things in the beginning of an environment will not
-% affect the formatting of the text
-\long\def\@IEEEgobbleleadPARNLSP#1{\let\@IEEEswallowthistoken=0%
-\let\@IEEEgobbleleadPARNLSPtoken#1%
-\let\@IEEEgobbleleadPARtoken=\par%
-\let\@IEEEgobbleleadNLtoken=\\%
-\let\@IEEEgobbleleadSPtoken=\ %
-\def\@IEEEgobbleleadSPMACRO{\ }%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadPARtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadNLtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% a control space will come in as a macro
-% when it is the last one on a line
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPMACRO%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% if we have to swallow this token, do so and taste the next one
-% else spit it out and stop gobbling
-\ifx\@IEEEswallowthistoken 1\let\@IEEEnextgobbleleadPARNLSP=\@IEEEgobbleleadPARNLSP\else%
-\let\@IEEEnextgobbleleadPARNLSP=#1\fi%
-\@IEEEnextgobbleleadPARNLSP}%
-
-
-
-
-% TITLING OF SECTIONS
-\def\@IEEEsectpunct{:\ \,}  % Punctuation after run-in section heading  (headings which are
-                            % part of the paragraphs), need little bit more than a single space
-                            % spacing from section number to title
-% compsoc conferences use regular period/space punctuation
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
-\def\@IEEEsectpunct{.\ }
-\fi\fi
-
-\def\@seccntformat#1{\hb@xt@ 1.4em{\csname the#1dis\endcsname\hss\relax}}
-\def\@seccntformatinl#1{\hb@xt@ 1.1em{\csname the#1dis\endcsname\hss\relax}}
-\def\@seccntformatch#1{\csname the#1dis\endcsname\hskip 1em\relax}
-
-\ifCLASSOPTIONcompsoc
-% compsoc journals need extra spacing
-\ifCLASSOPTIONconference\else
-\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 1em\relax}
-\fi\fi
-
-%v1.7 put {} after #6 to allow for some types of user font control
-%and use \@@par rather than \par
-\def\@sect#1#2#3#4#5#6[#7]#8{%
-  \ifnum #2>\c@secnumdepth
-     \let\@svsec\@empty
-  \else
-     \refstepcounter{#1}%
-     % load section label and spacer into \@svsec
-     \ifnum #2=1
-        \protected@edef\@svsec{\@seccntformatch{#1}\relax}%
-     \else
-        \ifnum #2>2
-           \protected@edef\@svsec{\@seccntformatinl{#1}\relax}%
-        \else
-           \protected@edef\@svsec{\@seccntformat{#1}\relax}%
-        \fi
-     \fi
-  \fi%
-  \@tempskipa #5\relax
-  \ifdim \@tempskipa>\z@% tempskipa determines whether is treated as a high
-     \begingroup #6{\relax% or low level heading
-      \noindent % subsections are NOT indented
-       % print top level headings. \@svsec is label, #8 is heading title
-       % IEEE does not block indent the section title text, it flows like normal
-       {\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\@@par}}%
-     \endgroup
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else
-               \protect\numberline{\csname the#1\endcsname}\fi#7}%
-  \else % printout low level headings
-     % svsechd seems to swallow the trailing space, protect it with \mbox{}
-     % got rid of sectionmark stuff
-     \def\@svsechd{#6{\hskip #3\relax\@svsec #8\@IEEEsectpunct\mbox{}}%
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else
-               \protect\numberline{\csname the#1\endcsname}\fi#7}}%
-  \fi%skip down
-  \@xsect{#5}}
-
-
-% section* handler
-%v1.7 put {} after #4 to allow for some types of user font control
-%and use \@@par rather than \par
-\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
-  \ifdim \@tempskipa>\z@
-     %\begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup
-     % IEEE does not block indent the section title text, it flows like normal
-     \begingroup \noindent #4{\relax{\hskip #1}{\interlinepenalty \@M #5\@@par}}\endgroup
-  % svsechd swallows the trailing space, protect it with \mbox{}
-  \else \def\@svsechd{#4{\hskip #1\relax #5\@IEEEsectpunct\mbox{}}}\fi
-  \@xsect{#3}}
-
-
-%% SECTION heading spacing and font
-%%
-% arguments are: #1 - sectiontype name
-% (for \@sect)   #2 - section level
-%                #3 - section heading indent
-%                #4 - top separation (absolute value used, neg indicates not to indent main text)
-%                     If negative, make stretch parts negative too!
-%                #5 - (absolute value used) positive: bottom separation after heading,
-%                      negative: amount to indent main text after heading
-%                Both #4 and #5 negative means to indent main text and use negative top separation
-%                #6 - font control
-% You've got to have \normalfont\normalsize in the font specs below to prevent
-% trouble when you do something like:
-% \section{Note}{\ttfamily TT-TEXT} is known to ... 
-% IEEE sometimes REALLY stretches the area before a section
-% heading by up to about 0.5in. However, it may not be a good
-% idea to let LaTeX have quite this much rubber.
-\ifCLASSOPTIONconference%
-% IEEE wants section heading spacing to decrease for conference mode
-\def\section{\@startsection{section}{1}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{1sp}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{1sp}{\normalfont\normalsize\itshape}}%
-\else % for journals
-\def\section{\@startsection{section}{1}{\z@}{3.0ex plus 1.5ex minus 1.5ex}% V1.6 3.0ex from 3.5ex
-{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{3.5ex plus 1.5ex minus 1.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%
-\fi
-
-% for both journals and conferences
-% decided to put in a little rubber above the section, might help somebody
-\def\subsubsection{\@startsection{subsubsection}{3}{\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-
-
-% compsoc
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
-% compsoc conference
-\def\section{\@startsection{section}{1}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\large\bfseries}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\sublargesize\bfseries}}%
-\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{0ex}{\normalfont\normalsize\bfseries}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize}}%
-\else% compsoc journals
-% use negative top separation as compsoc journals do not indent paragraphs after section titles
-\def\section{\@startsection{section}{1}{\z@}{-3ex plus -2ex minus -1.5ex}%
-{0.7ex plus 1ex minus 0ex}{\normalfont\large\sffamily\bfseries\scshape}}%
-% Note that subsection and smaller may not be correct for the Computer Society,
-% I have to look up an example.
-\def\subsection{\@startsection{subsection}{2}{\z@}{-3.5ex plus -1.5ex minus -1.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\sffamily\bfseries}}%
-\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.5ex plus -1ex minus -1ex}%
-{0.5ex plus 0.5ex minus 0ex}{\normalfont\normalsize\sffamily\itshape}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{-0ex plus -0.1ex minus -0.1ex}%
-{0ex}{\normalfont\normalsize}}%
-\fi\fi
-
-
-
-
-%% ENVIRONMENTS
-% "box" symbols at end of proofs
-\def\IEEEQEDclosed{\mbox{\rule[0pt]{1.3ex}{1.3ex}}} % for a filled box
-% V1.6 some journals use an open box instead that will just fit around a closed one
-\def\IEEEQEDopen{{\setlength{\fboxsep}{0pt}\setlength{\fboxrule}{0.2pt}\fbox{\rule[0pt]{0pt}{1.3ex}\rule[0pt]{1.3ex}{0pt}}}}
-\ifCLASSOPTIONcompsoc
-\def\IEEEQED{\IEEEQEDopen}   % default to open for compsoc
-\else
-\def\IEEEQED{\IEEEQEDclosed} % otherwise default to closed
-\fi
-
-% v1.7 name change to avoid namespace collision with amsthm. Also add support
-% for an optional argument.
-\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}
-\def\@IEEEproof[#1]{\par\noindent\hspace{2em}{\itshape #1: }}
-\def\endIEEEproof{\hspace*{\fill}~\IEEEQED\par}
-
-
-%\itemindent is set to \z@ by list, so define new temporary variable
-\newdimen\@IEEEtmpitemindent
-\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily\trivlist%
-    \item[\hskip \labelsep{\indent\itshape #1\ #2:}]\itemindent\@IEEEtmpitemindent}
-\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily \trivlist%
-% V1.6 IEEE is back to using () around theorem names which are also in italics
-% Thanks to Christian Peel for reporting this.
-    \item[\hskip\labelsep{\indent\itshape #1\ #2\ (#3):}]\itemindent\@IEEEtmpitemindent}
-% V1.7 remove bogus \unskip that caused equations in theorems to collide with
-% lines below.
-\def\@endtheorem{\endtrivlist}
-
-% V1.6
-% display command for the section the theorem is in - so that \thesection
-% is not used as this will be in Roman numerals when we want arabic.
-% LaTeX2e uses \def\@thmcounter#1{\noexpand\arabic{#1}} for the theorem number
-% (second part) display and \def\@thmcountersep{.} as a separator.
-% V1.7 intercept calls to the section counter and reroute to \@IEEEthmcounterinsection
-% to allow \appendix(ices} to override as needed.
-%
-% special handler for sections, allows appendix(ices) to override
-\gdef\@IEEEthmcounterinsection#1{\arabic{#1}}
-% string macro
-\edef\@IEEEstringsection{section}
-
-% redefine the #1#2[#3] form of newtheorem to use a hook to \@IEEEthmcounterinsection
-% if section in_counter is used
-\def\@xnthm#1#2[#3]{%
-  \expandafter\@ifdefinable\csname #1\endcsname
-    {\@definecounter{#1}\@newctr{#1}[#3]%
-     \edef\@IEEEstringtmp{#3}
-     \ifx\@IEEEstringtmp\@IEEEstringsection
-     \expandafter\xdef\csname the#1\endcsname{%
-     \noexpand\@IEEEthmcounterinsection{#3}\@thmcountersep
-          \@thmcounter{#1}}%
-     \else
-     \expandafter\xdef\csname the#1\endcsname{%
-       \expandafter\noexpand\csname the#3\endcsname \@thmcountersep
-          \@thmcounter{#1}}%
-     \fi
-     \global\@namedef{#1}{\@thm{#1}{#2}}%
-     \global\@namedef{end#1}{\@endtheorem}}}
-
-
-
-%% SET UP THE DEFAULT PAGESTYLE
-\ps@headings
-\pagenumbering{arabic}
-
-% normally the page counter starts at 1
-\setcounter{page}{1}
-% however, for peerreview the cover sheet is page 0 or page -1
-% (for duplex printing)
-\ifCLASSOPTIONpeerreview
-   \if@twoside
-      \setcounter{page}{-1}
-   \else
-      \setcounter{page}{0}
-   \fi
-\fi
-
-% standard book class behavior - let bottom line float up and down as
-% needed when single sided
-\ifCLASSOPTIONtwoside\else\raggedbottom\fi
-% if two column - turn on twocolumn, allow word spacings to stretch more and
-% enforce a rigid position for the last lines
-\ifCLASSOPTIONtwocolumn
-% the peer review option delays invoking twocolumn
-   \ifCLASSOPTIONpeerreview\else
-      \twocolumn
-   \fi
-\sloppy 
-\flushbottom
-\fi
-
-
-
-
-% \APPENDIX and \APPENDICES definitions
-
-% This is the \@ifmtarg command from the LaTeX ifmtarg package
-% by Peter Wilson (CUA) and Donald Arseneau
-% \@ifmtarg is used to determine if an argument to a command
-% is present or not.
-% For instance:
-% \@ifmtarg{#1}{\typeout{empty}}{\typeout{has something}}
-% \@ifmtarg is used with our redefined \section command if
-% \appendices is invoked.
-% The command \section will behave slightly differently depending
-% on whether the user specifies a title: 
-% \section{My appendix title}
-% or not:
-% \section{}
-% This way, we can eliminate the blank lines where the title
-% would be, and the unneeded : after Appendix in the table of
-% contents 
-\begingroup
-\catcode`\Q=3
-\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}
-\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4}
-\endgroup
-% end of \@ifmtarg defs
-
-
-% V1.7
-% command that allows the one time saving of the original definition
-% of section to \@IEEEappendixsavesection for \appendix or \appendices 
-% we don't save \section here as it may be redefined later by other
-% packages (hyperref.sty, etc.)
-\def\@IEEEsaveoriginalsectiononce{\let\@IEEEappendixsavesection\section
-\let\@IEEEsaveoriginalsectiononce\relax}
-
-% neat trick to grab and process the argument from \section{argument}
-% we process differently if the user invoked \section{} with no
-% argument (title)
-% note we reroute the call to the old \section*
-\def\@IEEEprocessthesectionargument#1{%
-\@ifmtarg{#1}{%
-\@IEEEappendixsavesection*{\appendixname~\thesectiondis}%
-\addcontentsline{toc}{section}{\appendixname~\thesection}}{%
-\@IEEEappendixsavesection*{\appendixname~\thesectiondis \\* #1}%
-\addcontentsline{toc}{section}{\appendixname~\thesection: #1}}}
-
-% we use this if the user calls \section{} after
-% \appendix-- which has no meaning. So, we ignore the
-% command and its argument. Then, warn the user.
-\def\@IEEEdestroythesectionargument#1{\typeout{** WARNING: Ignoring useless
-\protect\section\space in Appendix (line \the\inputlineno).}}
-
-
-% remember \thesection forms will be displayed in \ref calls
-% and in the Table of Contents.
-% The \sectiondis form is used in the actual heading itself
-
-% appendix command for one single appendix
-% normally has no heading. However, if you want a 
-% heading, you can do so via the optional argument:
-% \appendix[Optional Heading]
-\def\appendix{\relax}
-\renewcommand{\appendix}[1][]{\@IEEEsaveoriginalsectiononce\par
-    % v1.6 keep hyperref's identifiers unique
-    \gdef\theHsection{Appendix.A}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{0}%
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \gdef\thesection{A}%
-    \gdef\thesectiondis{}% 
-    \gdef\thesubsection{\Alph{subsection}}%
-    \gdef\@IEEEthmcounterinsection##1{A}
-    \refstepcounter{section}% update the \ref counter
-    \@ifmtarg{#1}{\@IEEEappendixsavesection*{\appendixname}%
-                  \addcontentsline{toc}{section}{\appendixname}}{%
-             \@IEEEappendixsavesection*{\appendixname~\\* #1}%
-             \addcontentsline{toc}{section}{\appendixname: #1}}%
-    % redefine \section command for appendix
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{%
-                    \@IEEEdestroythesectionargument}}% throw out the argument
-                                                     % of the normal form
-}
-
-
-
-% appendices command for multiple appendices
-% user then calls \section with an argument (possibly empty) to
-% declare the individual appendices
-\def\appendices{\@IEEEsaveoriginalsectiononce\par
-    % v1.6 keep hyperref's identifiers unique
-    \gdef\theHsection{Appendix.\Alph{section}}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{-1}% we want \refstepcounter to use section 0
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \ifCLASSOPTIONromanappendices%
-    \gdef\thesection{\Roman{section}}%
-    \gdef\thesectiondis{\Roman{section}}%
-    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Roman{section}.}}%
-    \gdef\@IEEEthmcounterinsection##1{A\arabic{##1}}
-    \else%
-    \gdef\thesection{\Alph{section}}%
-    \gdef\thesectiondis{\Alph{section}}%
-    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Alph{section}.}}%
-    \gdef\@IEEEthmcounterinsection##1{\Alph{##1}}
-    \fi%
-    \refstepcounter{section}% update the \ref counter
-    \setcounter{section}{0}% NEXT \section will be the FIRST appendix
-    % redefine \section command for appendices
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{% process the *-form
-                    \refstepcounter{section}% or is a new section so,
-                    \@IEEEprocessthesectionargument}}% process the argument 
-                                                 % of the normal form
-}
-
-
-
-% \IEEEPARstart
-% Definition for the big two line drop cap letter at the beginning of the
-% first paragraph of journal papers. The first argument is the first letter
-% of the first word, the second argument is the remaining letters of the
-% first word which will be rendered in upper case.
-% In V1.6 this has been completely rewritten to:
-% 
-% 1. no longer have problems when the user begins an environment
-%    within the paragraph that uses \IEEEPARstart.
-% 2. auto-detect and use the current font family
-% 3. revise handling of the space at the end of the first word so that
-%    interword glue will now work as normal.
-% 4. produce correctly aligned edges for the (two) indented lines.
-% 
-% We generalize things via control macros - playing with these is fun too.
-% 
-% V1.7 added more control macros to make it easy for IEEEtrantools.sty users
-% to change the font style.
-% 
-% the number of lines that are indented to clear it
-% may need to increase if using decenders
-\def\@IEEEPARstartDROPLINES{2}
-% minimum number of lines left on a page to allow a \@IEEEPARstart
-% Does not take into consideration rubber shrink, so it tends to
-% be overly cautious
-\def\@IEEEPARstartMINPAGELINES{2}
-% V1.7 the height of the drop cap is adjusted to match the height of this text
-% in the current font (when \IEEEPARstart is called).
-\def\@IEEEPARstartHEIGHTTEXT{T}
-% the depth the letter is lowered below the baseline
-% the height (and size) of the letter is determined by the sum
-% of this value and the height of the \@IEEEPARstartHEIGHTTEXT in the current
-% font. It is a good idea to set this value in terms of the baselineskip
-% so that it can respond to changes therein.
-\def\@IEEEPARstartDROPDEPTH{1.1\baselineskip}
-% V1.7 the font the drop cap will be rendered in,
-% can take zero or one argument.
-\def\@IEEEPARstartFONTSTYLE{\bfseries}
-% V1.7 any additional, non-font related commands needed to modify
-% the drop cap letter, can take zero or one argument.
-\def\@IEEEPARstartCAPSTYLE{\MakeUppercase}
-% V1.7 the font that will be used to render the rest of the word,
-% can take zero or one argument.
-\def\@IEEEPARstartWORDFONTSTYLE{\relax}
-% V1.7 any additional, non-font related commands needed to modify
-% the rest of the word, can take zero or one argument.
-\def\@IEEEPARstartWORDCAPSTYLE{\MakeUppercase}
-% This is the horizontal separation distance from the drop letter to the main text.
-% Lengths that depend on the font (e.g., ex, em, etc.) will be referenced
-% to the font that is active when \IEEEPARstart is called. 
-\def\@IEEEPARstartSEP{0.15em}
-% V1.7 horizontal offset applied to the left of the drop cap.
-\def\@IEEEPARstartHOFFSET{0em}
-% V1.7 Italic correction command applied at the end of the drop cap.
-\def\@IEEEPARstartITLCORRECT{\/}
-
-% V1.7 compoc uses nonbold drop cap and small caps word style
-\ifCLASSOPTIONcompsoc
-\def\@IEEEPARstartFONTSTYLE{\mdseries}
-\def\@IEEEPARstartWORDFONTSTYLE{\scshape}
-\def\@IEEEPARstartWORDCAPSTYLE{\relax}
-\fi
-
-% definition of \IEEEPARstart
-% THIS IS A CONTROLLED SPACING AREA, DO NOT ALLOW SPACES WITHIN THESE LINES
-% 
-% The token \@IEEEPARstartfont will be globally defined after the first use
-% of \IEEEPARstart and will be a font command which creates the big letter
-% The first argument is the first letter of the first word and the second
-% argument is the rest of the first word(s).
-\def\IEEEPARstart#1#2{\par{%
-% if this page does not have enough space, break it and lets start
-% on a new one
-\@IEEEtranneedspace{\@IEEEPARstartMINPAGELINES\baselineskip}{\relax}%
-% V1.7 move this up here in case user uses \textbf for \@IEEEPARstartFONTSTYLE
-% which uses command \leavevmode which causes an unwanted \indent to be issued
-\noindent
-% calculate the desired height of the big letter
-% it extends from the top of \@IEEEPARstartHEIGHTTEXT in the current font
-% down to \@IEEEPARstartDROPDEPTH below the current baseline
-\settoheight{\@IEEEtrantmpdimenA}{\@IEEEPARstartHEIGHTTEXT}%
-\addtolength{\@IEEEtrantmpdimenA}{\@IEEEPARstartDROPDEPTH}%
-% extract the name of the current font in bold
-% and place it in \@IEEEPARstartFONTNAME
-\def\@IEEEPARstartGETFIRSTWORD##1 ##2\relax{##1}%
-{\@IEEEPARstartFONTSTYLE{\selectfont\edef\@IEEEPARstartFONTNAMESPACE{\fontname\font\space}%
-\xdef\@IEEEPARstartFONTNAME{\expandafter\@IEEEPARstartGETFIRSTWORD\@IEEEPARstartFONTNAMESPACE\relax}}}%
-% define a font based on this name with a point size equal to the desired
-% height of the drop letter
-\font\@IEEEPARstartsubfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenA\relax%
-% save this value as a counter (integer) value (sp points)
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA%
-% now get the height of the actual letter produced by this font size
-\settoheight{\@IEEEtrantmpdimenB}{\@IEEEPARstartsubfont\@IEEEPARstartCAPSTYLE{#1}}%
-% If something bogus happens like the first argument is empty or the
-% current font is strange, do not allow a zero height.
-\ifdim\@IEEEtrantmpdimenB=0pt\relax%
-\typeout{** WARNING: IEEEPARstart drop letter has zero height! (line \the\inputlineno)}%
-\typeout{ Forcing the drop letter font size to 10pt.}%
-\@IEEEtrantmpdimenB=10pt%
-\fi%
-% and store it as a counter
-\@IEEEtrantmpcountB=\@IEEEtrantmpdimenB%
-% Since a font size doesn't exactly correspond to the height of the capital
-% letters in that font, the actual height of the letter, \@IEEEtrantmpcountB,
-% will be less than that desired, \@IEEEtrantmpcountA
-% we need to raise the font size, \@IEEEtrantmpdimenA 
-% by \@IEEEtrantmpcountA / \@IEEEtrantmpcountB
-% But, TeX doesn't have floating point division, so we have to use integer
-% division. Hence the use of the counters.
-% We need to reduce the denominator so that the loss of the remainder will
-% have minimal affect on the accuracy of the result
-\divide\@IEEEtrantmpcountB by 200%
-\divide\@IEEEtrantmpcountA by \@IEEEtrantmpcountB%
-% Then reequalize things when we use TeX's ability to multiply by
-% floating point values
-\@IEEEtrantmpdimenB=0.005\@IEEEtrantmpdimenA%
-\multiply\@IEEEtrantmpdimenB by \@IEEEtrantmpcountA%
-% \@IEEEPARstartfont is globaly set to the calculated font of the big letter
-% We need to carry this out of the local calculation area to to create the
-% big letter.
-\global\font\@IEEEPARstartfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenB%
-% Now set \@IEEEtrantmpdimenA to the width of the big letter
-% We need to carry this out of the local calculation area to set the
-% hanging indent
-\settowidth{\global\@IEEEtrantmpdimenA}{\@IEEEPARstartfont
-\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}}}%
-% end of the isolated calculation environment
-% add in the extra clearance we want
-\advance\@IEEEtrantmpdimenA by \@IEEEPARstartSEP\relax%
-% add in the optional offset
-\advance\@IEEEtrantmpdimenA by \@IEEEPARstartHOFFSET\relax%
-% V1.7 don't allow negative offsets to produce negative hanging indents
-\@IEEEtrantmpdimenB\@IEEEtrantmpdimenA
-\ifnum\@IEEEtrantmpdimenB < 0 \@IEEEtrantmpdimenB 0pt\fi
-% \@IEEEtrantmpdimenA has the width of the big letter plus the
-% separation space and \@IEEEPARstartfont is the font we need to use
-% Now, we make the letter and issue the hanging indent command
-% The letter is placed in a box of zero width and height so that other
-% text won't be displaced by it.
-\hangindent\@IEEEtrantmpdimenB\hangafter=-\@IEEEPARstartDROPLINES%
-\makebox[0pt][l]{\hspace{-\@IEEEtrantmpdimenA}%
-\raisebox{-\@IEEEPARstartDROPDEPTH}[0pt][0pt]{\hspace{\@IEEEPARstartHOFFSET}%
-\@IEEEPARstartfont\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}%
-\hspace{\@IEEEPARstartSEP}}}%
-{\@IEEEPARstartWORDFONTSTYLE{\@IEEEPARstartWORDCAPSTYLE{\selectfont#2}}}}
-
-
-
-
-
-
-% determines if the space remaining on a given page is equal to or greater
-% than the specified space of argument one
-% if not, execute argument two (only if the remaining space is greater than zero)
-% and issue a \newpage
-% 
-% example: \@IEEEtranneedspace{2in}{\vfill}
-% 
-% Does not take into consideration rubber shrinkage, so it tends to
-% be overly cautious
-% Based on an example posted by Donald Arseneau
-% Note this macro uses \@IEEEtrantmpdimenB internally for calculations,
-% so DO NOT PASS \@IEEEtrantmpdimenB to this routine
-% if you need a dimen register, import with \@IEEEtrantmpdimenA instead
-\def\@IEEEtranneedspace#1#2{\penalty-100\begingroup%shield temp variable
-\@IEEEtrantmpdimenB\pagegoal\advance\@IEEEtrantmpdimenB-\pagetotal% space left
-\ifdim #1>\@IEEEtrantmpdimenB\relax% not enough space left
-\ifdim\@IEEEtrantmpdimenB>\z@\relax #2\fi%
-\newpage%
-\fi\endgroup}
-
-
-
-% IEEEbiography ENVIRONMENT
-% Allows user to enter biography leaving place for picture (adapts to font size)
-% As of V1.5, a new optional argument allows you to have a real graphic!
-% V1.5 and later also fixes the "colliding biographies" which could happen when a 
-% biography's text was shorter than the space for the photo.
-% MDS 7/2001
-% V1.6 prevent multiple biographies from making multiple TOC entries
-\newif\if@IEEEbiographyTOCentrynotmade
-\global\@IEEEbiographyTOCentrynotmadetrue
-
-% biography counter so hyperref can jump directly to the biographies
-% and not just the previous section
-\newcounter{IEEEbiography}
-\setcounter{IEEEbiography}{0}
-
-% photo area size
-\def\@IEEEBIOphotowidth{1.0in}    % width of the biography photo area
-\def\@IEEEBIOphotodepth{1.25in}   % depth (height) of the biography photo area
-% area cleared for photo
-\def\@IEEEBIOhangwidth{1.14in}    % width cleared for the biography photo area
-\def\@IEEEBIOhangdepth{1.25in}    % depth cleared for the biography photo area
-                                  % actual depth will be a multiple of 
-                                  % \baselineskip, rounded up
-\def\@IEEEBIOskipN{4\baselineskip}% nominal value of the vskip above the biography
-
-\newenvironment{IEEEbiography}[2][]{\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize%
-\unitlength 1in\parskip=0pt\par\parindent 1em\interlinepenalty500%
-% we need enough space to support the hanging indent
-% the nominal value of the spacer
-% and one extra line for good measure
-\@IEEEtrantmpdimenA=\@IEEEBIOhangdepth%
-\advance\@IEEEtrantmpdimenA by \@IEEEBIOskipN%
-\advance\@IEEEtrantmpdimenA by 1\baselineskip%
-% if this page does not have enough space, break it and lets start
-% with a new one
-\@IEEEtranneedspace{\@IEEEtrantmpdimenA}{\relax}%
-% nominal spacer can strech, not shrink use 1fil so user can out stretch with \vfill
-\vskip \@IEEEBIOskipN plus 1fil minus 0\baselineskip%
-% the default box for where the photo goes
-\def\@IEEEtempbiographybox{{\setlength{\fboxsep}{0pt}\framebox{%
-\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}\centering PLACE\\ PHOTO\\ HERE \end{minipage}}}}%
-%
-% detect if the optional argument was supplied, this requires the
-% \@ifmtarg command as defined in the appendix section above
-% and if so, override the default box with what they want
-\@ifmtarg{#1}{\relax}{\def\@IEEEtempbiographybox{\mbox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}%
-\centering%
-#1%
-\end{minipage}}}}% end if optional argument supplied
-% Make an entry into the table of contents only if we have not done so before
-\if@IEEEbiographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{IEEEbiography}{-1}%
-\refstepcounter{IEEEbiography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@IEEEbiographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{IEEEbiography}%
-% Make an entry for this name into the table of contents 
-\addcontentsline{toc}{subsection}{#2}%
-% V1.6 properly handle if a new paragraph should occur while the
-% hanging indent is still active. Do this by redefining \par so
-% that it will not start a new paragraph. (But it will appear to the
-% user as if it did.) Also, strip any leading pars, newlines, or spaces.
-\let\@IEEEBIOORGparCMD=\par% save the original \par command
-\edef\par{\hfil\break\indent}% the new \par will not be a "real" \par
-\settoheight{\@IEEEtrantmpdimenA}{\@IEEEtempbiographybox}% get height of biography box
-\@IEEEtrantmpdimenB=\@IEEEBIOhangdepth%
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenB% countA has the hang depth
-\divide\@IEEEtrantmpcountA by \baselineskip%  calculates lines needed to produce the hang depth
-\advance\@IEEEtrantmpcountA by 1% ensure we overestimate
-% set the hanging indent
-\hangindent\@IEEEBIOhangwidth%
-\hangafter-\@IEEEtrantmpcountA%
-% reference the top of the photo area to the top of a capital T
-\settoheight{\@IEEEtrantmpdimenB}{\mbox{T}}%
-% set the photo box, give it zero width and height so as not to disturb anything
-\noindent\makebox[0pt][l]{\hspace{-\@IEEEBIOhangwidth}\raisebox{\@IEEEtrantmpdimenB}[0pt][0pt]{%
-\raisebox{-\@IEEEBIOphotodepth}[0pt][0pt]{\@IEEEtempbiographybox}}}%
-% now place the author name and begin the bio text
-\noindent\textbf{#2\ }\@IEEEgobbleleadPARNLSP}{\relax\let\par=\@IEEEBIOORGparCMD\par%
-% 7/2001 V1.5 detect when the biography text is shorter than the photo area
-% and pad the unused area - preventing a collision from the next biography entry
-% MDS
-\ifnum \prevgraf <\@IEEEtrantmpcountA\relax% detect when the biography text is shorter than the photo
-    \advance\@IEEEtrantmpcountA by -\prevgraf% calculate how many lines we need to pad
-    \advance\@IEEEtrantmpcountA by -1\relax% we compensate for the fact that we indented an extra line
-    \@IEEEtrantmpdimenA=\baselineskip% calculate the length of the padding
-    \multiply\@IEEEtrantmpdimenA by \@IEEEtrantmpcountA%
-    \noindent\rule{0pt}{\@IEEEtrantmpdimenA}% insert an invisible support strut
-\fi%
-\par\normalfont}
-
-
-
-% V1.6
-% added biography without a photo environment
-\newenvironment{IEEEbiographynophoto}[1]{%
-% Make an entry into the table of contents only if we have not done so before
-\if@IEEEbiographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{IEEEbiography}{-1}%
-\refstepcounter{IEEEbiography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@IEEEbiographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{IEEEbiography}%
-% Make an entry for this name into the table of contents 
-\addcontentsline{toc}{subsection}{#1}%
-\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize\interlinepenalty500%
-\vskip 4\baselineskip plus 1fil minus 0\baselineskip%
-\parskip=0pt\par%
-\noindent\textbf{#1\ }\@IEEEgobbleleadPARNLSP}{\relax\par\normalfont}
-
-
-% provide the user with some old font commands
-% got this from article.cls
-\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
-\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
-\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
-\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
-\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
-\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
-\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
-\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
-\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
-
-
-% SPECIAL PAPER NOTICE COMMANDS
-% 
-% holds the special notice text
-\def\@IEEEspecialpapernotice{\relax}
- 
-% for special papers, like invited papers, the user can do:
-% \IEEEspecialpapernotice{(Invited Paper)} before \maketitle
-\def\IEEEspecialpapernotice#1{\ifCLASSOPTIONconference%
-\def\@IEEEspecialpapernotice{{\Large#1\vspace*{1em}}}%
-\else%
-\def\@IEEEspecialpapernotice{{\\*[1.5ex]\sublargesize\textit{#1}}\vspace*{-2ex}}%
-\fi}
-
-
-
-
-% PUBLISHER ID COMMANDS
-% to insert a publisher's ID footer
-% V1.6 \IEEEpubid has been changed so that the change in page size and style
-% occurs in \maketitle. \IEEEpubid must now be issued prior to \maketitle
-% use \IEEEpubidadjcol as before - in the second column of the title page
-% These changes allow \maketitle to take the reduced page height into
-% consideration when dynamically setting the space between the author 
-% names and the maintext.
-%
-% the amount the main text is pulled up to make room for the
-% publisher's ID footer
-% IEEE uses about 1.3\baselineskip for journals, 
-% dynamic title spacing will clean up the fraction
-\def\@IEEEpubidpullup{1.3\baselineskip}
-\ifCLASSOPTIONtechnote
-% for technotes it must be an integer of baselineskip as there can be no
-% dynamic title spacing for two column mode technotes (the title is in the
-% in first column) and we should maintain an integer number of lines in the
-% second column
-% There are some examples (such as older issues of "Transactions on
-% Information Theory") in which IEEE really pulls the text off the ID for
-% technotes - about 0.55in (or 4\baselineskip). We'll use 2\baselineskip
-% and call it even.
-\def\@IEEEpubidpullup{2\baselineskip}
-\fi
-
-% V1.7 compsoc does not use a pullup
-\ifCLASSOPTIONcompsoc
-\def\@IEEEpubidpullup{0pt}
-\fi
-
-% holds the ID text
-\def\@IEEEpubid{\relax}
-
-% flag so \maketitle can tell if \IEEEpubid was called
-\newif\if@IEEEusingpubid
-\global\@IEEEusingpubidfalse
-% issue this command in the page to have the ID at the bottom
-% V1.6 use before \maketitle
-\def\IEEEpubid#1{\def\@IEEEpubid{#1}\global\@IEEEusingpubidtrue}
-
-
-% command which will pull up (shorten) the column it is executed in
-% to make room for the publisher ID. Place in the second column of
-% the title page when using \IEEEpubid
-% Is smart enough not to do anything when in single column text or
-% if the user hasn't called \IEEEpubid
-% currently needed in for the second column of a page with the
-% publisher ID. If not needed in future releases, please provide this
-% command and define it as \relax for backward compatibility
-% v1.6b do not allow command to operate if the peer review option has been 
-% selected because \IEEEpubidadjcol will not be on the cover page.
-% V1.7 do nothing if compsoc
-\def\IEEEpubidadjcol{\ifCLASSOPTIONcompsoc\else\ifCLASSOPTIONpeerreview\else
-\if@twocolumn\if@IEEEusingpubid\enlargethispage{-\@IEEEpubidpullup}\fi\fi\fi\fi}
-
-% Special thanks to Peter Wilson, Daniel Luecking, and the other
-% gurus at comp.text.tex, for helping me to understand how best to
-% implement the IEEEpubid command in LaTeX.
-
-
-
-%% Lockout some commands under various conditions
-
-% general purpose bit bucket
-\newsavebox{\@IEEEtranrubishbin}
-
-% flags to prevent multiple warning messages
-\newif\if@IEEEWARNthanks
-\newif\if@IEEEWARNIEEEPARstart
-\newif\if@IEEEWARNIEEEbiography
-\newif\if@IEEEWARNIEEEbiographynophoto
-\newif\if@IEEEWARNIEEEpubid
-\newif\if@IEEEWARNIEEEpubidadjcol
-\newif\if@IEEEWARNIEEEmembership
-\newif\if@IEEEWARNIEEEaftertitletext
-\@IEEEWARNthankstrue
-\@IEEEWARNIEEEPARstarttrue
-\@IEEEWARNIEEEbiographytrue
-\@IEEEWARNIEEEbiographynophototrue
-\@IEEEWARNIEEEpubidtrue
-\@IEEEWARNIEEEpubidadjcoltrue
-\@IEEEWARNIEEEmembershiptrue
-\@IEEEWARNIEEEaftertitletexttrue
-
-
-%% Lockout some commands when in various modes, but allow them to be restored if needed
-%%
-% save commands which might be locked out
-% so that the user can later restore them if needed
-\let\@IEEESAVECMDthanks\thanks
-\let\@IEEESAVECMDIEEEPARstart\IEEEPARstart
-\let\@IEEESAVECMDIEEEbiography\IEEEbiography
-\let\@IEEESAVECMDendIEEEbiography\endIEEEbiography
-\let\@IEEESAVECMDIEEEbiographynophoto\IEEEbiographynophoto
-\let\@IEEESAVECMDendIEEEbiographynophoto\endIEEEbiographynophoto
-\let\@IEEESAVECMDIEEEpubid\IEEEpubid
-\let\@IEEESAVECMDIEEEpubidadjcol\IEEEpubidadjcol
-\let\@IEEESAVECMDIEEEmembership\IEEEmembership
-\let\@IEEESAVECMDIEEEaftertitletext\IEEEaftertitletext
-
-
-% disable \IEEEPARstart when in draft mode
-% This may have originally been done because the pre-V1.6 drop letter
-% algorithm had problems with a non-unity baselinestretch
-% At any rate, it seems too formal to have a drop letter in a draft
-% paper.
-\ifCLASSOPTIONdraftcls
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** ATTENTION: \noexpand\IEEEPARstart
- is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-\fi
-% and for technotes
-\ifCLASSOPTIONtechnote
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart
- is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-\fi
-
-
-% lockout unneeded commands when in conference mode
-\ifCLASSOPTIONconference
-% when locked out, \thanks, \IEEEbiography, \IEEEbiographynophoto, \IEEEpubid,
-% \IEEEmembership and \IEEEaftertitletext will all swallow their given text. 
-% \IEEEPARstart will output a normal character instead
-% warn the user about these commands only once to prevent the console screen
-% from filling up with redundant messages
-\def\thanks#1{\if@IEEEWARNthanks\typeout{** WARNING: \noexpand\thanks
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNthanksfalse}
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-
-
-% LaTeX treats environments and commands with optional arguments differently.
-% the actual ("internal") command is stored as \\commandname 
-% (accessed via \csname\string\commandname\endcsname )
-% the "external" command \commandname is a macro with code to determine
-% whether or not the optional argument is presented and to provide the 
-% default if it is absent. So, in order to save and restore such a command
-% we would have to save and restore \\commandname as well. But, if LaTeX
-% ever changes the way it names the internal names, the trick would break.
-% Instead let us just define a new environment so that the internal
-% name can be left undisturbed.
-\newenvironment{@IEEEbogusbiography}[2][]{\if@IEEEWARNIEEEbiography\typeout{** WARNING: \noexpand\IEEEbiography
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographyfalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-% and make biography point to our bogus biography
-\let\IEEEbiography=\@IEEEbogusbiography
-\let\endIEEEbiography=\end@IEEEbogusbiography
-
-\renewenvironment{IEEEbiographynophoto}[1]{\if@IEEEWARNIEEEbiographynophoto\typeout{** WARNING: \noexpand\IEEEbiographynophoto
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographynophotofalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-
-\def\IEEEpubid#1{\if@IEEEWARNIEEEpubid\typeout{** WARNING: \noexpand\IEEEpubid 
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidfalse}
-\def\IEEEpubidadjcol{\if@IEEEWARNIEEEpubidadjcol\typeout{** WARNING: \noexpand\IEEEpubidadjcol
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidadjcolfalse}
-\def\IEEEmembership#1{\if@IEEEWARNIEEEmembership\typeout{** WARNING: \noexpand\IEEEmembership
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEmembershipfalse}
-\def\IEEEaftertitletext#1{\if@IEEEWARNIEEEaftertitletext\typeout{** WARNING: \noexpand\IEEEaftertitletext
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEaftertitletextfalse}
-\fi
-
-
-% provide a way to restore the commands that are locked out
-\def\IEEEoverridecommandlockouts{%
-\typeout{** ATTENTION: Overriding command lockouts (line \the\inputlineno).}%
-\let\thanks\@IEEESAVECMDthanks%
-\let\IEEEPARstart\@IEEESAVECMDIEEEPARstart%
-\let\IEEEbiography\@IEEESAVECMDIEEEbiography%
-\let\endIEEEbiography\@IEEESAVECMDendIEEEbiography%
-\let\IEEEbiographynophoto\@IEEESAVECMDIEEEbiographynophoto%
-\let\endIEEEbiographynophoto\@IEEESAVECMDendIEEEbiographynophoto%
-\let\IEEEpubid\@IEEESAVECMDIEEEpubid%
-\let\IEEEpubidadjcol\@IEEESAVECMDIEEEpubidadjcol%
-\let\IEEEmembership\@IEEESAVECMDIEEEmembership%
-\let\IEEEaftertitletext\@IEEESAVECMDIEEEaftertitletext}
-
-
-
-% need a backslash character for typeout output
-{\catcode`\|=0 \catcode`\\=12
-|xdef|@IEEEbackslash{\}}
-
-
-% hook to allow easy disabling of all legacy warnings
-\def\@IEEElegacywarn#1#2{\typeout{** ATTENTION: \@IEEEbackslash #1 is deprecated (line \the\inputlineno).
-Use \@IEEEbackslash #2 instead.}}
-
-
-% provide for legacy commands
-\def\authorblockA{\@IEEElegacywarn{authorblockA}{IEEEauthorblockA}\IEEEauthorblockA}
-\def\authorblockN{\@IEEElegacywarn{authorblockN}{IEEEauthorblockN}\IEEEauthorblockN}
-\def\authorrefmark{\@IEEElegacywarn{authorrefmark}{IEEEauthorrefmark}\IEEEauthorrefmark}
-\def\PARstart{\@IEEElegacywarn{PARstart}{IEEEPARstart}\IEEEPARstart}
-\def\pubid{\@IEEElegacywarn{pubid}{IEEEpubid}\IEEEpubid}
-\def\pubidadjcol{\@IEEElegacywarn{pubidadjcol}{IEEEpubidadjcol}\IEEEpubidadjcol}
-\def\QED{\@IEEElegacywarn{QED}{IEEEQED}\IEEEQED}
-\def\QEDclosed{\@IEEElegacywarn{QEDclosed}{IEEEQEDclosed}\IEEEQEDclosed}
-\def\QEDopen{\@IEEElegacywarn{QEDopen}{IEEEQEDopen}\IEEEQEDopen}
-\def\specialpapernotice{\@IEEElegacywarn{specialpapernotice}{IEEEspecialpapernotice}\IEEEspecialpapernotice}
-
-
-
-% provide for legacy environments
-\def\biography{\@IEEElegacywarn{biography}{IEEEbiography}\IEEEbiography}
-\def\biographynophoto{\@IEEElegacywarn{biographynophoto}{IEEEbiographynophoto}\IEEEbiographynophoto}
-\def\keywords{\@IEEElegacywarn{keywords}{IEEEkeywords}\IEEEkeywords}
-\def\endbiography{\endIEEEbiography}
-\def\endbiographynophoto{\endIEEEbiographynophoto}
-\def\endkeywords{\endIEEEkeywords}
-
-
-% provide for legacy IED commands/lengths when possible
-\let\labelindent\IEEElabelindent
-\def\calcleftmargin{\@IEEElegacywarn{calcleftmargin}{IEEEcalcleftmargin}\IEEEcalcleftmargin}
-\def\setlabelwidth{\@IEEElegacywarn{setlabelwidth}{IEEEsetlabelwidth}\IEEEsetlabelwidth}
-\def\usemathlabelsep{\@IEEElegacywarn{usemathlabelsep}{IEEEusemathlabelsep}\IEEEusemathlabelsep}
-\def\iedlabeljustifyc{\@IEEElegacywarn{iedlabeljustifyc}{IEEEiedlabeljustifyc}\IEEEiedlabeljustifyc}
-\def\iedlabeljustifyl{\@IEEElegacywarn{iedlabeljustifyl}{IEEEiedlabeljustifyl}\IEEEiedlabeljustifyl}
-\def\iedlabeljustifyr{\@IEEElegacywarn{iedlabeljustifyr}{IEEEiedlabeljustifyr}\IEEEiedlabeljustifyr}
-
-
-
-% let \proof use the IEEEtran version even after amsthm is loaded
-% \proof is now deprecated in favor of \IEEEproof
-\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}
-
-% V1.7 \overrideIEEEmargins is no longer supported.
-\def\overrideIEEEmargins{%
-\typeout{** WARNING: \string\overrideIEEEmargins \space no longer supported (line \the\inputlineno).}%
-\typeout{** Use the \string\CLASSINPUTinnersidemargin, \string\CLASSINPUToutersidemargin \space controls instead.}}
-
-
-\endinput
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls  %%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% That's all folks!
-
diff --git a/mpi-energy2-extension/IEEEtran/.gitignore b/mpi-energy2-extension/IEEEtran/.gitignore
deleted file mode 100644
index d417699..0000000
--- a/mpi-energy2-extension/IEEEtran/.gitignore
+++ /dev/null
@@ -1,12 +0,0 @@
-bare_adv.dvi
-bare_adv.pdf
-bare_adv.ps
-bare_conf.dvi
-bare_conf.pdf
-bare_conf.ps
-bare_jrnl.dvi
-bare_jrnl.pdf
-bare_jrnl.ps
-bare_jrnl_compsoc.dvi
-bare_jrnl_compsoc.pdf
-bare_jrnl_compsoc.ps
diff --git a/mpi-energy2-extension/IEEEtran/IEEEabrv.bib b/mpi-energy2-extension/IEEEtran/IEEEabrv.bib
deleted file mode 100644
index 56cae65..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEabrv.bib
+++ /dev/null
@@ -1,447 +0,0 @@
-
-IEEEabrv.bib
-V1.12 (2007/01/11)
-Copyright (c) 2002-2007 by Michael Shell
-See: http://www.michaelshell.org/
-for current contact information.
-
-BibTeX bibliography string definitions of the ABBREVIATED titles of
-IEEE journals and magazines and online publications.
-
-This file is designed for bibliography styles that require 
-abbreviated titles and is not for use in bibliographies that
-require full-length titles.
-
-Support sites:
-http://www.michaelshell.org/tex/ieeetran/
-http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-and/or
-http://www.ieee.org/
-
-Special thanks to Laura Hyslop and ken Rawson of IEEE for their help
-in obtaining the information needed to compile this file. Also,
-Volker Kuhlmann and Moritz Borgmann kindly provided some corrections
-and additions.
-
-*************************************************************************
-Legal Notice:
-This code is offered as-is without any warranty either expressed or
-implied; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE! 
-User assumes all risk.
-In no event shall IEEE or any contributor to this code be liable for
-any damages or losses, including, but not limited to, incidental,
-consequential, or any other damages, resulting from the use or misuse
-of any information contained here.
-
-All comments are the opinions of their respective authors and are not
-necessarily endorsed by the IEEE.
-
-This work is distributed under the LaTeX Project Public License (LPPL)
-( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-distributed and modified. A copy of the LPPL, version 1.3, is included
-in the base LaTeX documentation of all distributions of LaTeX released
-2003/12/01 or later.
-Retain all contribution notices and credits.
-** Modified files should be clearly indicated as such, including  **
-** renaming them and changing author support contact information. **
-
-File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-                   IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-                   IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-*************************************************************************
-
-
-USAGE:
-
-\bibliographystyle{mybstfile}
-\bibliography{IEEEabrv,mybibfile}
-
-where the IEEE titles in the .bib database entries use the strings
-defined here. e.g.,
-
-
-   journal = IEEE_J_AC,
-
-
-to yield "{IEEE} Trans. Automat. Contr."
-
-
-IEEE uses abbreviated journal titles in their bibliographies -
-this file is suitable for work that is to be submitted to the IEEE.
-
-
-For work that requires full-length titles, you should use the full
-titles provided in the companion file, IEEEfull.bib.
-
-
-** NOTES **
-
- 1. Journals have been grouped according to subject in order to make it
-    easier to locate and extract the definitions for related journals - 
-    as most works use references that are confined to a single topic.
-    Magazines are listed in straight alphabetical order.
-
- 2. String names are closely based on IEEE's own internal acronyms.
- 
- 3. Abbreviations follow IEEE's style.
-
- 4. Older, out-of-print IEEE titles are included (but not including titles
-    dating prior to IEEE's formation from the IRE and AIEE in 1963).
-
- 5. The following NEW/current journal definitions have been disabled because
-    their abbreviations have not yet been verified:
-    
-    STRING{IEEE_J_CBB        = "{IEEE/ACM} Trans. Comput. Biology Bioinformatics"}
-    STRING{IEEE_J_CJECE      = "Canadian J. Elect. Comput. Eng."}
-    STRING{IEEE_J_DSC        = "{IEEE} Trans. Dependable Secure Comput."}
-    STRING{IEEE_O_DSO        = "{IEEE} Distrib. Syst. Online"}
-    
- 6. The following OLD journal definitions have been disabled because
-    their abbreviations have not yet been found/verified:
-
-    STRING{IEEE_J_BCTV       = "{IEEE} Trans. Broadcast Television Receivers"}
-    STRING{IEEE_J_EWS        = "{IEEE} Trans. Eng. Writing Speech"}
-
-If you know what the proper abbreviation is for a string in #5 or #6 above,
-email me and I will correct them in the next release.
-
-
-
-
-
-IEEE Journals 
-
-
-
-aerospace and military
-@STRING{IEEE_J_AES        = "{IEEE} Trans. Aerosp. Electron. Syst."}
-@STRING{IEEE_J_ANE        = "{IEEE} Trans. Aerosp. Navig. Electron."}
-@STRING{IEEE_J_ANNE       = "{IEEE} Trans. Aeronaut. Navig. Electron."}
-@STRING{IEEE_J_AS         = "{IEEE} Trans. Aerosp."}
-@STRING{IEEE_J_AIRE       = "{IEEE} Trans. Airborne Electron."}
-@STRING{IEEE_J_MIL        = "{IEEE} Trans. Mil. Electron."}
-
-
-
-autos, transportation and vehicles (non-aerospace)
-@STRING{IEEE_J_ITS        = "{IEEE} Trans. Intell. Transp. Syst."}
-@STRING{IEEE_J_VT         = "{IEEE} Trans. Veh. Technol."}
-@STRING{IEEE_J_VC         = "{IEEE} Trans. Veh. Commun."}
-
-
-
-circuits, signals, systems, audio and controls
-@STRING{IEEE_J_SPL        = "{IEEE} Signal Process. Lett."}
-@STRING{IEEE_J_ASSP       = "{IEEE} Trans. Acoust., Speech, Signal Process."}
-@STRING{IEEE_J_AU         = "{IEEE} Trans. Audio"}
-@STRING{IEEE_J_AUEA       = "{IEEE} Trans. Audio Electroacoust."}
-@STRING{IEEE_J_AC         = "{IEEE} Trans. Autom. Control"}
-@STRING{IEEE_J_CAS        = "{IEEE} Trans. Circuits Syst."}
-@STRING{IEEE_J_CASVT      = "{IEEE} Trans. Circuits Syst. Video Technol."}
-@STRING{IEEE_J_CASI       = "{IEEE} Trans. Circuits Syst. {I}"}
-@STRING{IEEE_J_CASII      = "{IEEE} Trans. Circuits Syst. {II}"}
-in 2004 CASI and CASII renamed part title to CASI_RP and CASII_EB, respectively.
-@STRING{IEEE_J_CASI_RP    = "{IEEE} Trans. Circuits Syst. {I}"}
-@STRING{IEEE_J_CASII_EB   = "{IEEE} Trans. Circuits Syst. {II}"}
-@STRING{IEEE_J_CT         = "{IEEE} Trans. Circuit Theory"}
-@STRING{IEEE_J_CST        = "{IEEE} Trans. Control Syst. Technol."}
-@STRING{IEEE_J_SP         = "{IEEE} Trans. Signal Process."}
-@STRING{IEEE_J_SU         = "{IEEE} Trans. Sonics Ultrason."}
-@STRING{IEEE_J_SAP        = "{IEEE} Trans. Speech Audio Process."}
-@STRING{IEEE_J_UE         = "{IEEE} Trans. Ultrason. Eng."}
-@STRING{IEEE_J_UFFC       = "{IEEE} Trans. Ultrason., Ferroelectr., Freq. Control"}
-
-
-
-communications
-@STRING{IEEE_J_COML       = "{IEEE} Commun. Lett."}
-@STRING{IEEE_J_JSAC       = "{IEEE} J. Sel. Areas Commun."}
-@STRING{IEEE_J_COM        = "{IEEE} Trans. Commun."}
-@STRING{IEEE_J_COMT       = "{IEEE} Trans. Commun. Technol."}
-@STRING{IEEE_J_WCOM       = "{IEEE} Trans. Wireless Commun."}
-
-
-
-components, packaging and manufacturing
-@STRING{IEEE_J_ADVP       = "{IEEE} Trans. Adv. Packag."}
-@STRING{IEEE_J_CHMT       = "{IEEE} Trans. Compon., Hybrids, Manuf. Technol."}
-@STRING{IEEE_J_CPMTA      = "{IEEE} Trans. Compon., Packag., Manuf. Technol. {A}"}
-@STRING{IEEE_J_CPMTB      = "{IEEE} Trans. Compon., Packag., Manuf. Technol. {B}"}
-@STRING{IEEE_J_CPMTC      = "{IEEE} Trans. Compon., Packag., Manuf. Technol. {C}"}
-@STRING{IEEE_J_CAPT       = "{IEEE} Trans. Compon. Packag. Technol."}
-@STRING{IEEE_J_CAPTS      = "{IEEE} Trans. Compon. Packag. Technol."}
-@STRING{IEEE_J_CPART      = "{IEEE} Trans. Compon. Parts"}
-@STRING{IEEE_J_EPM        = "{IEEE} Trans. Electron. Packag. Manuf."}
-@STRING{IEEE_J_MFT        = "{IEEE} Trans. Manuf. Technol."}
-@STRING{IEEE_J_PHP        = "{IEEE} Trans. Parts, Hybrids, Packag."}
-@STRING{IEEE_J_PMP        = "{IEEE} Trans. Parts, Mater., Packag."}
-
-
-
-CAD
-@STRING{IEEE_J_TCAD       = "{IEEE} J. Technol. Comput. Aided Design"}
-@STRING{IEEE_J_CAD        = "{IEEE} Trans. Comput.-Aided Design Integr. Circuits Syst."}
-
-
-
-coding, data, information, knowledge
-@STRING{IEEE_J_IT         = "{IEEE} Trans. Inf. Theory"}
-@STRING{IEEE_J_KDE        = "{IEEE} Trans. Knowl. Data Eng."}
-
-
-
-computers, computation, networking and software
-@STRING{IEEE_J_C          = "{IEEE} Trans. Comput."}
-@STRING{IEEE_J_CAL        = "{IEEE} Comput. Archit. Lett."}
-disabled till definition is verified
-STRING{IEEE_J_DSC         = "{IEEE} Trans. Dependable Secure Comput."}
-@STRING{IEEE_J_ECOMP      = "{IEEE} Trans. Electron. Comput."}
-@STRING{IEEE_J_EVC        = "{IEEE} Trans. Evol. Comput."}
-@STRING{IEEE_J_FUZZ       = "{IEEE} Trans. Fuzzy Syst."}
-@STRING{IEEE_J_IFS        = "{IEEE} Trans. Inf. Forensics Security"}
-@STRING{IEEE_J_MC         = "{IEEE} Trans. Mobile Comput."}
-@STRING{IEEE_J_NET        = "{IEEE/ACM} Trans. Netw."}
-@STRING{IEEE_J_NN         = "{IEEE} Trans. Neural Netw."}
-@STRING{IEEE_J_PDS        = "{IEEE} Trans. Parallel Distrib. Syst."}
-@STRING{IEEE_J_SE         = "{IEEE} Trans. Softw. Eng."}
-
-
-
-computer graphics, imaging, and multimedia
-@STRING{IEEE_J_JDT        = "{IEEE/OSA} J. Display Technol."}
-@STRING{IEEE_J_IP         = "{IEEE} Trans. Image Process."}
-@STRING{IEEE_J_MM         = "{IEEE} Trans. Multimedia"}
-@STRING{IEEE_J_VCG        = "{IEEE} Trans. Vis. Comput. Graphics"}
-
-
-
-cybernetics, ergonomics, robots, man-machine, and automation
-@STRING{IEEE_J_ASE        = "{IEEE} Trans. Autom. Sci. Eng."}
-@STRING{IEEE_J_JRA        = "{IEEE} J. Robot. Autom."}
-@STRING{IEEE_J_HFE        = "{IEEE} Trans. Hum. Factors Electron."}
-@STRING{IEEE_J_MMS        = "{IEEE} Trans. Man-Mach. Syst."}
-@STRING{IEEE_J_PAMI       = "{IEEE} Trans. Pattern Anal. Mach. Intell."}
-in 1989 JRA became RA
-in August 2004, RA split into ASE and RO
-@STRING{IEEE_J_RA         = "{IEEE} Trans. Robot. Autom."}
-@STRING{IEEE_J_RO         = "{IEEE} Trans. Robot."}
-@STRING{IEEE_J_SMC        = "{IEEE} Trans. Syst., Man, Cybern."}
-@STRING{IEEE_J_SMCA       = "{IEEE} Trans. Syst., Man, Cybern. {A}"}
-@STRING{IEEE_J_SMCB       = "{IEEE} Trans. Syst., Man, Cybern. {B}"}
-@STRING{IEEE_J_SMCC       = "{IEEE} Trans. Syst., Man, Cybern. {C}"}
-@STRING{IEEE_J_SSC        = "{IEEE} Trans. Syst. Sci. Cybern."}
-
-
-
-earth, wind, fire and water
-@STRING{IEEE_J_GE         = "{IEEE} Trans. Geosci. Electron."}
-@STRING{IEEE_J_GRS        = "{IEEE} Trans. Geosci. Remote Sens."}
-@STRING{IEEE_J_GRSL       = "{IEEE} Geosci. Remote Sens. Lett."}
-@STRING{IEEE_J_OE         = "{IEEE} J. Ocean. Eng."}
-
-
-
-education, engineering, history, IEEE, professional
-disabled till definition is verified
-STRING{IEEE_J_CJECE       = "Canadian J. Elect. Comput. Eng."}
-@STRING{IEEE_J_PROC       = "Proc. {IEEE}"}
-@STRING{IEEE_J_EDU        = "{IEEE} Trans. Educ."}
-@STRING{IEEE_J_EM         = "{IEEE} Trans. Eng. Manag."}
-disabled till definition is verified
-STRING{IEEE_J_EWS         = "{IEEE} Trans. Eng. Writing Speech"}
-@STRING{IEEE_J_PC         = "{IEEE} Trans. Prof. Commun."}
-
-
-
-electromagnetics, antennas, EMI, magnetics and microwave
-@STRING{IEEE_J_AWPL       = "{IEEE} Antennas Wireless Propag. Lett."}
-@STRING{IEEE_J_MGWL       = "{IEEE} Microw. Guided Wave Lett."}
-IEEE seems to want "Compon." here, not "Comp."
-@STRING{IEEE_J_MWCL       = "{IEEE} Microw. Wireless Compon. Lett."}
-@STRING{IEEE_J_AP         = "{IEEE} Trans. Antennas Propag."}
-@STRING{IEEE_J_EMC        = "{IEEE} Trans. Electromagn. Compat."}
-@STRING{IEEE_J_MAG        = "{IEEE} Trans. Magn."}
-@STRING{IEEE_J_MTT        = "{IEEE} Trans. Microw. Theory Tech."}
-@STRING{IEEE_J_RFI        = "{IEEE} Trans. Radio Freq. Interference"}
-@STRING{IEEE_J_TJMJ       = "{IEEE} Transl. J. Magn. Jpn."}
-
-
-
-energy and power
-@STRING{IEEE_J_EC         = "{IEEE} Trans. Energy Convers."}
-@STRING{IEEE_J_PEL        = "{IEEE} Power Electron. Lett."}
-@STRING{IEEE_J_PWRAS      = "{IEEE} Trans. Power App. Syst."}
-@STRING{IEEE_J_PWRD       = "{IEEE} Trans. Power Del."}
-@STRING{IEEE_J_PWRE       = "{IEEE} Trans. Power Electron."}
-@STRING{IEEE_J_PWRS       = "{IEEE} Trans. Power Syst."}
-
-
-
-industrial, commercial and consumer
-@STRING{IEEE_J_APPIND     = "{IEEE} Trans. Appl. Ind."}
-@STRING{IEEE_J_BC         = "{IEEE} Trans. Broadcast."}
-disabled till definition is verified
-STRING{IEEE_J_BCTV        = "{IEEE} Trans. Broadcast Television Receivers"}
-@STRING{IEEE_J_CE         = "{IEEE} Trans. Consum. Electron."}
-@STRING{IEEE_J_IE         = "{IEEE} Trans. Ind. Electron."}
-@STRING{IEEE_J_IECI       = "{IEEE} Trans. Ind. Electron. Contr. Instrum."}
-@STRING{IEEE_J_IA         = "{IEEE} Trans. Ind. Appl."}
-@STRING{IEEE_J_IGA        = "{IEEE} Trans. Ind. Gen. Appl."}
-@STRING{IEEE_J_IINF       = "{IEEE} Trans. Ind. Informat."}
-@STRING{IEEE_J_PSE        = "{IEEE} J. Product Safety Eng."}
-
-
-
-instrumentation and measurement
-@STRING{IEEE_J_IM         = "{IEEE} Trans. Instrum. Meas."}
-
-
-
-insulation and materials
-@STRING{IEEE_J_JEM        = "{IEEE/TMS} J. Electron. Mater."}
-@STRING{IEEE_J_DEI        = "{IEEE} Trans. Dielectr. Electr. Insul."}
-@STRING{IEEE_J_EI         = "{IEEE} Trans. Electr. Insul."}
-
-
-
-mechanical
-@STRING{IEEE_J_MECH       = "{IEEE/ASME} Trans. Mechatronics"}
-@STRING{IEEE_J_MEMS       = "J. Microelectromech. Syst."}
-
-
-
-medical and biological
-@STRING{IEEE_J_BME        = "{IEEE} Trans. Biomed. Eng."}
-Note: The B-ME journal later dropped the hyphen and became the BME.
-@STRING{IEEE_J_B-ME       = "{IEEE} Trans. Bio-Med. Eng."}
-@STRING{IEEE_J_BMELC      = "{IEEE} Trans. Bio-Med. Electron."}
-disabled till definition is verified
-STRING{IEEE_J_CBB         = "{IEEE/ACM} Trans. Comput. Biology Bioinformatics"}
-@STRING{IEEE_J_ITBM       = "{IEEE} Trans. Inf. Technol. Biomed."}
-@STRING{IEEE_J_ME         = "{IEEE} Trans. Med. Electron."}
-@STRING{IEEE_J_MI         = "{IEEE} Trans. Med. Imag."}
-@STRING{IEEE_J_NB         = "{IEEE} Trans. Nanobiosci."}
-@STRING{IEEE_J_NSRE       = "{IEEE} Trans. Neural Syst. Rehabil. Eng."}
-@STRING{IEEE_J_RE         = "{IEEE} Trans. Rehabil. Eng."}
-
-
-
- optics, lightwave and photonics
-@STRING{IEEE_J_PTL        = "{IEEE} Photon. Technol. Lett."}
-@STRING{IEEE_J_JLT        = "J. Lightw. Technol."}
-
-
-
-physics, electrons, nanotechnology, nuclear and quantum electronics
-@STRING{IEEE_J_EDL        = "{IEEE} Electron Device Lett."}
-@STRING{IEEE_J_JQE        = "{IEEE} J. Quantum Electron."}
-@STRING{IEEE_J_JSTQE      = "{IEEE} J. Sel. Topics Quantum Electron."}
-@STRING{IEEE_J_ED         = "{IEEE} Trans. Electron Devices"}
-@STRING{IEEE_J_NANO       = "{IEEE} Trans. Nanotechnol."}
-@STRING{IEEE_J_NS         = "{IEEE} Trans. Nucl. Sci."}
-@STRING{IEEE_J_PS         = "{IEEE} Trans. Plasma Sci."}
-
-
-
-reliability
-IEEE seems to want "Mat." here, not "Mater."
-@STRING{IEEE_J_DMR        = "{IEEE} Trans. Device Mater. Rel."}
-@STRING{IEEE_J_R          = "{IEEE} Trans. Rel."}
-
-
-
-semiconductors, superconductors, electrochemical and solid state
-@STRING{IEEE_J_ESSL       = "{IEEE/ECS} Electrochem. Solid-State Lett."}
-@STRING{IEEE_J_JSSC       = "{IEEE} J. Solid-State Circuits"}
-@STRING{IEEE_J_ASC        = "{IEEE} Trans. Appl. Supercond."}
-@STRING{IEEE_J_SM         = "{IEEE} Trans. Semicond. Manuf."}
-
-
-
-sensors
-@STRING{IEEE_J_SENSOR     = "{IEEE} Sensors J."}
-
-
-
-VLSI
-@STRING{IEEE_J_VLSI       = "{IEEE} Trans. {VLSI} Syst."}
-
-
-
-
-
-
-IEEE Magazines 
-
-
-
-@STRING{IEEE_M_AES        = "{IEEE} Aerosp. Electron. Syst. Mag."}
-@STRING{IEEE_M_HIST       = "{IEEE} Ann. Hist. Comput."}
-@STRING{IEEE_M_AP         = "{IEEE} Antennas Propag. Mag."}
-@STRING{IEEE_M_ASSP       = "{IEEE} {ASSP} Mag."}
-@STRING{IEEE_M_CD         = "{IEEE} Circuits Devices Mag."}
-@STRING{IEEE_M_CAS        = "{IEEE} Circuits Syst. Mag."}
-@STRING{IEEE_M_COM        = "{IEEE} Commun. Mag."}
-@STRING{IEEE_M_COMSOC     = "{IEEE} Commun. Soc. Mag."}
-@STRING{IEEE_M_CIM        = "{IEEE} Comput. Intell. Mag."}
-CSEM changed to CSE in 1999
-@STRING{IEEE_M_CSE        = "{IEEE} Comput. Sci. Eng."}
-@STRING{IEEE_M_CSEM       = "{IEEE} Comput. Sci. Eng. Mag."}
-@STRING{IEEE_M_C          = "{IEEE} Computer"}
-@STRING{IEEE_M_CAP        = "{IEEE} Comput. Appl. Power"}
-@STRING{IEEE_M_CGA        = "{IEEE} Comput. Graph. Appl."}
-@STRING{IEEE_M_CONC       = "{IEEE} Concurrency"}
-@STRING{IEEE_M_CS         = "{IEEE} Control Syst. Mag."}
-@STRING{IEEE_M_DTC        = "{IEEE} Des. Test. Comput."}
-@STRING{IEEE_M_EI         = "{IEEE} Electr. Insul. Mag."}
-@STRING{IEEE_M_ETR        = "{IEEE} ElectroTechnol. Rev."}
-@STRING{IEEE_M_EMB        = "{IEEE} Eng. Med. Biol. Mag."}
-@STRING{IEEE_M_EMR        = "{IEEE} Eng. Manag. Rev."}
-@STRING{IEEE_M_EXP        = "{IEEE} Expert"}
-@STRING{IEEE_M_IA         = "{IEEE} Ind. Appl. Mag."}
-@STRING{IEEE_M_IM         = "{IEEE} Instrum. Meas. Mag."}
-@STRING{IEEE_M_IS         = "{IEEE} Intell. Syst."}
-@STRING{IEEE_M_IC         = "{IEEE} Internet Comput."}
-@STRING{IEEE_M_ITP        = "{IEEE} {IT} Prof."}
-@STRING{IEEE_M_MICRO      = "{IEEE} Micro"}
-@STRING{IEEE_M_MW         = "{IEEE} Microw. Mag."}
-@STRING{IEEE_M_MM         = "{IEEE} Multimedia"}
-@STRING{IEEE_M_NET        = "{IEEE} Netw."}
-IEEE's editorial manual lists "Pers. Commun.", 
-but "Personal Commun. Mag." seems to be what is used in the journals
-@STRING{IEEE_M_PCOM       = "{IEEE} Personal Commun. Mag."}
-@STRING{IEEE_M_POT        = "{IEEE} Potentials"}
-CAP and PER merged to form PE in 2003
-@STRING{IEEE_M_PE         = "{IEEE} Power Energy Mag."}
-@STRING{IEEE_M_PER        = "{IEEE} Power Eng. Rev."}
-@STRING{IEEE_M_PVC        = "{IEEE} Pervasive Comput."}
-@STRING{IEEE_M_RA         = "{IEEE} Robot. Autom. Mag."}
-@STRING{IEEE_M_SAP        = "{IEEE} Security Privacy"}
-@STRING{IEEE_M_SP         = "{IEEE} Signal Process. Mag."}
-@STRING{IEEE_M_S          = "{IEEE} Softw."}
-@STRING{IEEE_M_SPECT      = "{IEEE} Spectr."}
-@STRING{IEEE_M_TS         = "{IEEE} Technol. Soc. Mag."}
-@STRING{IEEE_M_VT         = "{IEEE} Veh. Technol. Mag."}
-@STRING{IEEE_M_WC         = "{IEEE} Wireless Commun. Mag."}
-@STRING{IEEE_M_TODAY      = "Today's Engineer"}
-
-
-
-
-
-
-IEEE Online Publications 
-
-
-
-@STRING{IEEE_O_CSTO        = "{IEEE} Commun. Surveys Tuts."}
-disabled till definition is verified
-STRING{IEEE_O_DSO          = "{IEEE} Distrib. Syst. Online"}
-
-
-
-
-
---
-EOF
diff --git a/mpi-energy2-extension/IEEEtran/IEEEexample.bib b/mpi-energy2-extension/IEEEtran/IEEEexample.bib
deleted file mode 100644
index 024745c..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEexample.bib
+++ /dev/null
@@ -1,1190 +0,0 @@
-
-IEEEexample.bib 
-V1.12 (2007/01/11)
-Copyright (c) 2002-2007 by Michael Shell
-See: http://www.michaelshell.org/
-for current contact information.
-
-This is an example BibTeX database for the official IEEEtran.bst
-BibTeX style file.
-
-Some entries call strings that are defined in the IEEEabrv.bib file.
-Therefore, IEEEabrv.bib should be loaded prior to this file. 
-Usage: 
-
-\bibliographystyle{./IEEEtran}
-\bibliography{./IEEEabrv,./IEEEexample}
-
-
-Support sites:
-http://www.michaelshell.org/tex/ieeetran/
-http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-and/or
-http://www.ieee.org/
-
-*************************************************************************
-Legal Notice:
-This code is offered as-is without any warranty either expressed or
-implied; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE! 
-User assumes all risk.
-In no event shall IEEE or any contributor to this code be liable for
-any damages or losses, including, but not limited to, incidental,
-consequential, or any other damages, resulting from the use or misuse
-of any information contained here.
-
-All comments are the opinions of their respective authors and are not
-necessarily endorsed by the IEEE.
-
-This work is distributed under the LaTeX Project Public License (LPPL)
-( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-distributed and modified. A copy of the LPPL, version 1.3, is included
-in the base LaTeX documentation of all distributions of LaTeX released
-2003/12/01 or later.
-Retain all contribution notices and credits.
-** Modified files should be clearly indicated as such, including  **
-** renaming them and changing author support contact information. **
-
-File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-                   IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-                   IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-*************************************************************************
-
-
-Note that, because the example references were taken from actual IEEE
-publications, these examples do not always contain the full amount
-of information that may be desirable (for use with other BibTeX styles).
-In particular, full names (not abbreviated with initials) should be
-entered whenever possible as some (non-IEEE) bibliography styles use
-full names. IEEEtran.bst will automatically abbreviate when it encounters
-full names.
- 
- 
- 
- 
-references for the IEEEtran.bst documentation
-IEEEtran homepage
-@electronic{IEEEhowto:IEEEtranpage,
-  author        = "Michael Shell",
-  title         = "{IEEE}tran Homepage",
-  url           = "http://www.michaelshell.org/tex/ieeetran/",
-  year          = "2007"
-}
-
-
-the distribution site for IEEEtran.bst
-@electronic{IEEEexample:shellCTANpage,
-  author        = "Michael Shell",
-  title         = "{IEEE}tran Webpage on {CTAN}",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/",
-  year          = "2007"
-}
-
-
-the IEEE website
-sort key is needed for sorting styles
-@electronic{IEEEexample:IEEEwebsite,
-  title         = "The {IEEE} Website",
-  url           = "http://www.ieee.org/",
-  year          = "2007",
-  key           = "IEEE"
-}
-
-
-The BibTeX user's guide.
-The filename could have been put in the URL instead. But, there might
-be other interesting things for the user in the same directory - and
-the filename might change before the directory that contains it.
-@electronic{IEEEexample:bibtexuser,
-  author        = "Oren Patashnik",
-  title         = "{{\BibTeX}}ing",
-  howpublished  = "{btxdoc.pdf}",
-  url           = "http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/",
-  month         = feb,
-  year          = "1988"
-}
-
-
-The BibTeX style designer's guide.
-@electronic{IEEEexample:bibtexdesign,
-  author        = "Oren Patashnik",
-  title         = "Designing {{\BibTeX}} Styles",
-  howpublished  = "{btxhak.pdf}",
-  url           = "http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/",
-  month         = feb,
-  year          = "1988"
-}
-
-
-A comprehensive BibTeX tutorial.
-@electronic{IEEEexample:tamethebeast,
-  author        = "Nicolas Markey",
-  title         = "Tame the BeaST  ---  The B to X of {{\BibTeX}}",
-  url           = "http://tug.ctan.org/tex-archive/info/bibtex/tamethebeast/",
-  month         = oct,
-  year          = "2005"
-}
-
-
-The BibTeX Tips and FAQ guide.
-@electronic{IEEEexample:bibtexFAQ,
-  author        = "David Hoadley and Michael Shell",
-  title         = "{{\BibTeX}} Tips and {FAQ}",
-  howpublished  = "{btxFAQ.pdf}",
-  url           = "http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/",
-  month         = jan,
-  year          = "2007"
-}
-
-
-The TeX FAQ
-@electronic{IEEEexample:texfaq,
-  author        = "Robin Fairbairns",
-  title         = "The {{\TeX}} {FAQ}",
-  url           = "http://www.tex.ac.uk/cgi-bin/texfaq2html/",
-  month         = jan,
-  year          = "2007"
-}
-
-
-A BibTeX Guide via Examples.
-@electronic{IEEEexample:bibtexguide,
-  author        = "Ki-Joo Kim",
-  title         = "A {{\BibTeX}} Guide via Examples",
-  howpublished  = "{bibtex\_guide.pdf}",
-  url           = "http://www.geocities.com/kijoo2000/",
-  month         = apr,
-  year          = "2004"
-}
-
-
-TeX User Group Bibliography Archive
-@electronic{IEEEexample:beebe_archive,
-  author        = "Nelson H. F. Beebe",
-  title         = "{{\TeX}} User Group Bibliography Archive",
-  url           = "http://www.math.utah.edu:8080/pub/tex/bib/index-table.html",
-  month         = aug,
-  year          = "2006"
-}
-
-The natbib.sty package.
-@electronic{ctan:natbib,
-  author        = "Patrick W. Daly",
-  title         = "The natbib.sty package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/natbib/",
-  month         = sep,
-  year          = "2006"
-}
-
-The url.sty package.
-@electronic{IEEEexample:urlsty,
-  author        = "Donald Arseneau",
-  title         = "The url.sty Package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/misc/",
-  month         = jun,
-  year          = "2005",
-}
-
-
-The hyperref.sty package.
-@electronic{IEEEexample:hyperrefsty,
-  author        = "Sebastian Rahtz and Heiko Oberdiek",
-  title         = "The hyperref.sty Package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/hyperref/",
-  month         = nov,
-  year          = "2006",
-}
-
-
-The breakurl.sty package.
-@electronic{IEEEexample:breakurl,
-  author        = "Vilar Camara Neto",
-  title         = "The breakurl.sty Package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/breakurl/",
-  month         = aug,
-  year          = "2006",
-}
-
-
-The Babel package.
-@electronic{IEEEexample:babel,
-  author        = "Johannes Braams",
-  title         = "The Babel Package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/required/babel/",
-  month         = nov,
-  year          = "2005",
-}
-
-
-The multibib package.
-@electronic{IEEEexample:multibibsty,
-  author        = "Thorsten Hansen",
-  title         = "The multibib.sty package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/contrib/multibib/",
-  month         = jan,
-  year          = "2004"
-}
-
-
-The biblatex package.
-@electronic{IEEEexample:biblatex,
-  author        = "Philipp Lehman",
-  title         = "The biblatex package",
-  url           = "http://www.ctan.org/tex-archive/macros/latex/exptl/biblatex/",
-  month         = jan,
-  year          = "2007"
-}
-
-
-
-The three most common and typical types of references used in
-IEEE publications:
-
-an article in a journal
-Note the use of the IEEE_J_EDL string, defined in the IEEEabrv.bib file,
-for the journal name. IEEEtran.bst defines the BibTeX standard three
-letter month codes per IEEE style.
-From the June 2002 issue of "IEEE Transactions on Electron Devices",
-page 996, reference #16.
-@article{IEEEexample:article_typical,
-  author        = "S. Zhang and C. Zhu and J. K. O. Sin and P. K. T. Mok",
-  title         = "A Novel Ultrathin Elevated Channel Low-temperature 
-                   Poly-{Si} {TFT}",
-  journal       = IEEE_J_EDL,
-  volume        = "20",
-  month         = nov,
-  year          = "1999",
-  pages         = "569-571"
-}
-
-
-journal article using et al.
-The (five) authors are actually: F. Delorme, S. Slempkes, G. Alibert, 
-B. Rose, J. Brandon
-The month (July) was not given here.
-From the September 1998 issue of "IEEE Journal on Selected Areas in
-Communications", page 1257, reference #28.
-@article{IEEEexample:articleetal,
-  author        = "F. Delorme and others",
-  title         = "Butt-jointed {DBR} Laser With 15 {nm} Tunability Grown
-                   in Three {MOVPE} Steps",
-  journal       = "Electron. Lett.",
-  volume        = "31",
-  number        = "15",
-  year          = "1995",
-  pages         = "1244-1245"
-}
-
-
-a paper in a conference proceedings
-"conference" can be used as an alias for "inproceedings"
-From the June 2002 issue of "Journal of Microelectromechanical Systems",
-page 205, reference #16.
-@inproceedings{IEEEexample:conf_typical,
-  author        = "R. K. Gupta and S. D. Senturia",
-  title         = "Pull-in Time Dynamics as a Measure of Absolute Pressure",
-  booktitle     = "Proc. {IEEE} International Workshop on
-                   Microelectromechanical Systems ({MEMS}'97)",
-  address       = "Nagoya, Japan",
-  month         = jan,
-  year          = "1997",
-  pages         = "290-294"
-}
-
-
-a book
-From the May 2002 issue of "IEEE Transactions on Magnetics",
-page 1466, reference #4.
-@book{IEEEexample:book_typical,
-  author        = "B. D. Cullity",
-  title         = "Introduction to Magnetic Materials",
-  publisher     = "Addison-Wesley",
-  address       = "Reading, MA",
-  year          = "1972"
-}
-
-
-
-
-Other examples
-
-journal article with large page numbers, IEEE will divide numbers 5 digits
-or longer into groups of three with small spaces between them. Page ranges
-can be separated via either "-" or "--", IEEEtran.bst will automatically
-convert the separator dash(es) to "--".
-Authors and/or IEEE do not always provide/use the journal number, but it
-was used in this case. IEEEtran.bst can be configured to ignore journal
-numbers if desired.
-From the August 2000 issue of "IEEE Photonics Technology Letters",
-page 1039, reference #11.
-@article{IEEEexample:articlelargepages,
-  author        = "A. Castaldini and A. Cavallini and B. Fraboni
-                   and P. Fernandez and J. Piqueras",
-  title         = "Midgap Traps Related to Compensation Processes in
-                   {CdTe} Alloys",
-  journal       = "Phys. Rev. B.",
-  volume        = "56",
-  number        = "23",
-  year          = "1997",
-  pages         = "14897-14900"
-}
-
-
-journal article with dual months 
-use the BibTeX "#" concatenation operator
-From the March 2002 issue of "IEEE Transactions on Mechatronics",
-page 21, reference #8.
-@article{IEEEexample:articledualmonths,
-  author        = "Y. Okada and K. Dejima and T. Ohishi",
-  title         = "Analysis and Comparison of {PM} Synchronous Motor and
-                   Induction Motor Type Magnetic Bearings",
-  journal       = IEEE_J_IA,
-  volume        = "31",
-  month         = sep # "/" # oct,
-  year          = "1995",
-  pages         = "1047-1053"
-}
-
-
-journal article to be published as a misc entry type
-date information like month and year is optional 
-However, the article form like that below may be a better approach.
-From the May 2002 issue of "IEEE Journal of Selected Areas in 
-Communication", page 725, reference #3.
-@misc{IEEEexample:TBPmisc,
-  author        = "M. Coates and A. Hero and R. Nowak and B. Yu",
-  title         = "Internet Tomography",
-  howpublished  = IEEE_M_SP,
-  month         = may,
-  year          = "2002",
-  note          = "to be published"
-}
-
-
-journal article to be published as an article entry type
-year is required, so if absent, use the year field to hold
-the "submitted for publication" in order to avoid a warning for
-the missing year field.
-From the June 2002 issue of "IEEE Transactions on Information Theory",
-page 1461, reference #21.
-@article{IEEEexample:TBParticle,
-  author        = "N. Kahale and R. Urbanke",
-  title         = "On the Minimum Distance of Parallel and Serially
-                   Concatenated Codes",
-  journal       = IEEE_J_IT,
-  year          = "submitted for publication"
-}
-
-
-
-
-
-book with editor and no author
-From the June 2002 issue of "IEEE Transactions on Information Theory",
-page 1725, reference #1.
-@book{IEEEexample:bookwitheditor,
-  editor        = "J. C. Candy and G. C. Temes",
-  title         = "Oversampling Delta-Sigma Data Converters Theory,
-                   Design and Simulation",
-  publisher     = "{IEEE} Press.",
-  address       = "New York",
-  year          = "1992"
-}
-
-
-book with edition, author and editor
-Note that the standard BibTeX styles do not support book entries with both
-author and editor fields, but IEEEtran.bst does.
-The standard BibTeX way of specifying the edition is to use capitalized
-ordinal words such as "First", "Second", etc. Most .bst files can convert
-up to about "Fifth" into the format needed. IEEEtran.bst can convert up
-to "Tenth" to the "Arabic ordinal" form IEEE uses (e.g., "10th"). For
-editions over the tenth, it is best to use the "Arabic ordinal" form for
-IEEE related work (e.g., "101st")
-Note how "Jr." has to be entered.
-From the May 2002 issue of "Journal of Lightwave Technology", page 856,
-reference #17.
-@book{IEEEexample:book,
-  author        = "S. M. Metev and V. P. Veiko",
-  editor        = "Osgood, Jr., R. M.",
-  title         = "Laser Assisted Microtechnology",
-  edition       = "Second",
-  publisher     = "Springer-Verlag",
-  address       = "Berlin, Germany",
-  year          = "1998"
-}
-
-
-book with series and volume
-From the January 2000 issue of "IEEE Transactions on Communications",
-page 11, reference #31.
-@book{IEEEexample:bookwithseriesvolume,
-  editor        = "J. Breckling",
-  title         = "The Analysis of Directional Time Series: Applications to
-                   Wind Speed and Direction",
-  series        = "Lecture Notes in Statistics",
-  publisher     = "Springer",
-  address       = "Berlin, Germany",
-  year          = "1989",
-  volume        = "61"
-}
-
-
-inbook with chapter number. The pages field could also have been given.
-The chapter number could be changed to something else such as a section
-number via the type field: type = "sec.".
-From the May 2002 issue of "IEEE Transactions on Circuits and Systems---I: 
-Fundamental Applications and Theory", page 638, reference #22.
-@inbook{IEEEexample:inbook,
-  author        = "H. E. Rose",
-  title         = "A Course in Number Theory",
-  publisher     = "Oxford Univ. Press",
-  address       = "New York, NY",
-  year          = "1988",
-  chapter       = "3"
-}
-
-
-inbook with pages and note. The language field is not set to Russian
-because the title is presented here in its translated, English, form.
-From the May 2002 issue of "IEEE Transactions on Magnetics", page 1533,
-reference #5.
-@inbook{IEEEexample:inbookpagesnote,
-  author        = "B. K. Bul",
-  title         = "Theory Principles and Design of Magnetic Circuits",
-  publisher     = "Energia Press",
-  address       = "Moscow",
-  year          = "1964",
-  pages         = "464",
-  note          = "(in Russian)"
-}
-
-
-
-
-
-incollection with author and editor
-From the May 2002 issue of "Journal of Lightwave Technology",
-page 807, reference #7.
-@incollection{IEEEexample:incollection,
-  author        = "W. V. Sorin",
-  editor        = "D. Derickson",
-  title         = "Optical Reflectometry for Component Characterization",
-  booktitle     = "Fiber Optic Test and Measurement",
-  publisher     = "Prentice-Hall",
-  address       = "Englewood Cliffs, NJ",
-  year          = "1998"
-}
-
-
-incollection with series
-From the April 2000 issue of "IEEE Transactions on Communication",
-page 609, reference #3.
-@incollection{IEEEexample:incollectionwithseries,
-  author        = "J. B. Anderson and K. Tepe",
-  title         = "Properties of the Tailbiting {BCJR} Decoder",
-  booktitle     = "Codes, Systems and Graphical Models",
-  series        = "{IMA} Volumes in Mathematics and Its Applications",
-  publisher     = "Springer-Verlag",
-  address       = "New York",
-  year          = "2000"
-  
-}
-
-
-incollection with author, editor, chapter and pages
-From the January 2000 issue of "IEEE Transactions on Communications",
-page 16, reference #9.
-@incollection{IEEEexample:incollection_chpp,
-  author        = "P. Hedelin and P. Knagenhjelm and M. Skoglund",
-  editor        = "W. B. Kleijn and K. K. Paliwal",
-  title         = "Theory for Transmission of Vector Quantization Data",
-  booktitle     = "Speech Coding and Synthesis",
-  publisher     = "Elsevier Science",
-  address       = "Amsterdam, The Netherlands",
-  year          = "1995",
-  chapter       = "10",
-  pages         = "347-396"
-}
-
-
-incollection with a large number of authors, some authors/journals will
-use et al. for so many names. IEEEtran.bst can be configured to do this
-if desired, or "R. M. A. Dawson and others" can be used instead.
-Note that IEEE may not include the publisher for incollection entries -
-IEEEtran.bst will not issue a warning if the publisher is missing for
-incollections - but other .bst files often will.
-From the June 2002 issue of "IEEE Transactions on Electron Devices",
-page 996, reference #12.
-@incollection{IEEEexample:incollectionmanyauthors,
-  author        = "R. M. A. Dawson and Z. Shen and D. A. Furst and
-                   S. Connor and J. Hsu and M. G. Kane and R. G. Stewart and
-                   A. Ipri and C. N. King and P. J. Green and R. T. Flegal
-                   and S. Pearson and W. A. Barrow and E. Dickey and K. Ping
-                   and C. W. Tang and S. Van. Slyke and
-                   F. Chen and J. Shi and J. C. Sturm and M. H. Lu",
-  title         = "Design of an Improved Pixel for a Polysilicon 
-                   Active-Matrix Organic {LED} Display",
-  booktitle     = "{SID} Tech. Dig.",
-  volume        = "29",
-  year          = "1998",
-  pages         = "11-14"
-}
-
-
-
-
-
-A Motorola data book as a manual
-It is somewhat unusual to include the data book part number.
-in the title. It might be more correct to put this information
-in the howpublished field instead.
-From the December 2000 issue of "IEEE Transactions on Communications",
-page 1986, reference #10.
-@manual{IEEEexample:motmanual,
-  title         = "{FLEXChip} Signal Processor ({MC68175/D})",
-  organization  = "Motorola",
-  year          = "1996"
-}
-
-
-same reference, but using IEEEtran's howpublished extension
-@manual{IEEEexample:motmanualhowpub,
-  title         = "{FLEXChip} Signal Processor",
-  howpublished  = "{MC68175/D}",
-  organization  = "Motorola",
-  year          = "1996"
-}
-
-
-
-
-conference paper with an address and days. Some journals capitalize the
-letters in "Globecom", this one did not.
-From the May 2002 issue of "IEEE Transactions on Communications",
-page 697, reference #12.
-@inproceedings{IEEEexample:confwithadddays,
-  author        = "M. S. Yee and L. Hanzo",
-  title         = "Radial Basis Function Decision Feedback Equaliser
-                   Assisted Burst-by-burst Adaptive Modulation",
-  booktitle     = "Proc. {IEEE} Globecom '99",
-  address       = "Rio de Janeiro, Brazil",
-  month         = dec # " 5--9,",
-  year          = "1999",
-  pages         = "2183-2187"
-}
-
-
-conference paper with volume number. A conference proceedings with a vol
-number is a little uncommon, note that the vol number is placed
-before the address in the formatted bibliography entry
-From the April 2002 issue of "IEEE/ACM Transactions on Networking",
-page 181, reference #26.
-@inproceedings{IEEEexample:confwithvolume,
-  author        = "M. Yajnik and S. B. Moon and J. Kurose and D. Towsley",
-  title         = "Measurement and Modeling of the Temporal Dependence in
-                   Packet Loss",
-  booktitle     = "Proc. {IEEE} {INFOCOM}'99",
-  volume        = "1",
-  address       = "New York, NY",
-  month         = mar,
-  year          = "1999",
-  pages         = "345-352"
-}
-
-
-conference paper with a paper number, the type field can be used to
-override the word "paper", e.g., type = "postdeadline paper". A type
-can be given even without a paper  field.
-Also, IEEEtran.bst can be configured to ignore paper numbers and types.
-From the May 2002 issue of "Journal of Lightwave Technology",
-page 807, reference #4.
-@inproceedings{IEEEexample:confwithpaper,
-  author        = "M. Wegmuller and J. P. von der Weid and P. Oberson
-                   and N. Gisin",
-  title         = "High Resolution Fiber Distributed Measurements With
-                   Coherent {OFDR}",
-  booktitle     = "Proc. {ECOC}'00",
-  year          = "2000",
-  paper         = "11.3.4",
-  pages         = "109"
-}
-
-
-conference paper with a postdeadline type paper, the paper field is
-optional.
-From the August 2000 issue of "IEEE Photonics Technology Letters",
-page 1087, reference #12.
-@inproceedings{IEEEexample:confwithpapertype,
-  author        = "B. Mikkelsen and G. Raybon and R.-J. Essiambre and
-                   K. Dreyer and Y. Su. and L. E. Nelson and J. E. Johnson
-                   and G. Shtengel and A. Bond and D. G. Moodie and
-                   A. D. Ellis",
-  title         = "160 {Gbit/s} Single-channel Transmission Over 300 km 
-                   Nonzero-dispersion Fiber With Semiconductor Based
-                   Transmitter and Demultiplexer",
-  booktitle     = "Proc. {ECOC}'99",
-  year          = "1999",
-  paper         = "2-3",
-  type          = "postdeadline paper",
-  pages         = "28-29"
-}
-
-
-presented at a conference
-intype overrides the default "in" and causes the booktitle not to be
-emphasized (rendered in italics).
-From the February 2002 issue of "IEEE/ACM Transactions on Networking",
-page 163, reference #6.
-@inproceedings{IEEEexample:presentedatconf,
-  author        = "S. G. Finn and M. M{\'e}dard and R. A. Barry",
-  title         = "A Novel Approach to Automatic Protection Switching
-                   Using Trees",
-  intype        = "presented at the",
-  booktitle     = "Proc. Int. Conf. Commun.",
-  year          = "1997"
-}
-
-
-
-
-
-master's thesis, often the University name will be abbreviated and the
-state or country will be included in the address. The type field can
-used to override the default type "Master's thesis"
-From the June 2002 issue of "IEEE Transactions on Microelectromechanical
-Systems", page 186, reference #11.
-@mastersthesis{IEEEexample:masters,
-  author        = "Nin C. Loh",
-  title         = "High-Resolution Micromachined Interferometric
-                   Accelerometer",
-  school        = "Massachusetts Institute of Technology",
-  address       = "Cambridge",
-  year          = "1992"
-}
-
-
-master's thesis with a type field
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 391, reference #12.
-@mastersthesis{IEEEexample:masterstype,
-  author        = "A. Karnik",
-  title         = "Performance of {TCP} Congestion Control with Rate
-                   Feedback: {TCP/ABR} and Rate Adaptive {TCP/IP}",
-  school        = "Indian Institute of Science",
-  type          = "M. Eng. thesis",
-  address       = "Bangalore, India",
-  month         = jan,
-  year          = "1999"
-}
-
-
-
-
-
-Ph.D. dissertation with a URL field, the university is abbreviated
-From the October 2001 issue of "IEEE/ACM Transactions on Networking",
-page 590, reference #11.
-@phdthesis{IEEEexample:phdurl,
-  author        = "Q. Li",
-  title         = "Delay Characterization and Performance Control of
-                   Wide-area Networks",
-  school        = "Univ. of Delaware",
-  address       = "Newark",
-  month         = may,
-  year          = "2000",
-  url           = "http://www.ece.udel.edu/~qli"
-}
-
-
-
-
-
-technical report
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 490, reference #15.
-@techreport{IEEEexample:techrep,
-  author        = "R. Jain and K. K. Ramakrishnan and D. M. Chiu",
-  title         = "Congestion Avoidance in Computer Networks with a 
-                   Connectionless Network Layer",
-  institution   = "Digital Equipment Corporation",
-  address       = "MA",
-  number        = "DEC-TR-506",
-  month         = aug,
-  year          = "1987"
-}
-
-
-technical report with type
-for those times when "Tech. Rep." needs to be modified
-From the February 2001 issue of "IEEE/ACM Transactions on Networking",
-page 46, reference #8.
-@techreport{IEEEexample:techreptype,
-  author        = "J. Padhye and V. Firoiu and D. Towsley",
-  title         = "A Stochastic Model of {TCP} {R}eno Congestion Avoidance
-                   and Control",
-  institution   = "Univ. of Massachusetts",
-  address       = "Amherst, MA",
-  type          = "CMPSCI Tech. Rep.",
-  number        = "99-02",
-  year          = "1999"
-}
-
-
-technical report with type
-for those times when "Tech. Rep." needs to be modified
-This reference did not have an address.
-From the January 2000 issue of "IEEE Transactions on Communications",
-page 117, reference #6.
-@techreport{IEEEexample:techreptypeii,
-  author        = "D. Middleton and A. D. Spaulding",
-  title         = "A Tutorial Review of Elements of Weak Signal Detection
-                   in Non-{G}aussian {EMI} Environments",
-  institution   = "National Telecommunications and Information
-                   Administration ({NTIA}), U.S. Dept. of Commerce",
-  type          = "NTIA Report",
-  number        = "86-194",
-  month         = may,
-  year          = "1986"
-}
-
-
-
-
-
-an unpublished work
-for unpublished types, the note field is required. IEEE usually
-just uses the word "unpublished" for the note.
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 391, reference #16.
-@unpublished{IEEEexample:unpublished,
-  author        = "T. J. Ott and N. Aggarwal",
-  title         = "{TCP} over {ATM}: {ABR} or {UBR}",
-  note          = "Unpublished"
-}
-
-
-
-
-
-electronic with a howpublished information field 
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 391, reference #7.
-@electronic{IEEEexample:electronhowinfo,
-  author        = "V. Jacobson",
-  title         = "Modified {TCP} Congestion Avoidance Algorithm",
-  howpublished  = "end2end-interest mailing list",
-  url           = "ftp://ftp.isi.edu/end2end/end2end-interest-1990.mail",
-  month         = apr,
-  year          = "1990"
-}
-
-
-electronic with a howpublished information field 
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 418, reference #31.
-@electronic{IEEEexample:electronhowinfo2,
-  author        = "V. Valloppillil and K. W. Ross",
-  title         = "Cache Array Routing Protocol v1.1",
-  howpublished  = "Internet draft",
-  url           = "http://ds1.internic.net/internet-drafts/draft-vinod-carp-v1-03.txt",
-  year          = "1998"
-}
-
-
-electronic with an organization and address
-From the February 2002 issue of "IEEE/ACM Transactions on Networking",
-page 114, reference #15.
-@electronic{IEEEexample:electronorgadd,
-  author        = "D. H. Lorenz and A. Orda",
-  title         = "Optimal Partition of {QoS} Requirements on Unicast
-                   Paths and Multicast Trees",
-  organization  = "Dept. Elect. Eng., Technion",
-  address       = "Haifa, Israel",
-  url           = "ftp://ftp.technion.ac.il/pub/supported/ee/Network/lor.mopq98.ps",
-  month         = jul,
-  year          = "1998"
-}
-
-
-
-
-
-U.S. patent
-Use the type field to override the patent type. e.g.,
-type = "Patent Application"
-The address is that of the assignee. Note that IEEE does not
-display the assignee, the address, and only displays one date.
-(if year is not present, the filed dates are used.) However, this
-information should be entered as other BibTeX styles may use it.
-alternatively, nationality could be entered as "U.S." 
-From the April 2000 issue of "IEEE Transactions on Communications",
-page 542, reference #6.
-@patent{IEEEexample:uspat,
-  author        = "Ronald E. Sorace and Victor S. Reinhardt and
-                   Steven A. Vaughn",
-  assignee      = "Hughes Aircraft Company",
-  address       = "Los Angeles, CA",
-  title         = "High-Speed Digital-to-{RF} Converter",
-  nationality   = "United States",
-  number        = "5668842",
-  dayfiled      = "28",
-  monthfiled    = feb,
-  yearfiled     = "1995",
-  day           = "16",
-  month         = sep,
-  year          = "1997"
-}
-
-
-Japanese Patent
-From the April 2000 issue of "IEEE Transactions on Communications",
-page 556, reference #6.
-@patent{IEEEexample:jppat,
-  author        = "U. Hideki",
-  title         = "Quadrature Modulation Circuit",
-  nationality   = "Japanese",
-  number        = "152932/92",
-  day           = "20",
-  month         = may,
-  year          = "1992"
-}
-
-
-French Patent request, the language field must be entered in lower case
-as this is the option name Babel uses. The nationality field needs to be
-capitalized. Because this is a patent request, the date filed fields are
-used while the date fields are left empty/missing. In other countries,
-the words "Patent Application", etc. are used instead.
-From the April 2000 issue of "IEEE Transactions on Communications",
-page 556, reference #9.
-@patent{IEEEexample:frenchpatreq,
-  author        = "F. Kowalik and M. Isard",
-  title         = "Estimateur d'un D{\'e}faut de Fonctionnement 
-                   d'un Modulateur en Quadrature et {\'E}tage de Modulation
-                   l'Utilisant",
-  language      = "french",
-  nationality   = "French",
-  type          = "Patent Request",
-  number        = "9500261",
-  dayfiled      = "11",
-  monthfiled    = jan,
-  yearfiled     = "1995"
-}
-
-
-
-
-
-a periodical
-From the April 2001 issue of "IEEE/ACM Transactions on Networking",
-page 160, reference #1.
-sort key is needed for sorting styles
-@periodical{IEEEexample:periodical,
-  title         = IEEE_M_PCOM # ", Special Issue on Wireless {ATM}",
-  volume        = "3",
-  month         = aug,
-  year          = "1996",
-  key           = "IEEE"
-}
-
-
-
-
-
-standard, IEEE does not use the address for standards, but it is good
-to provide one for BibTeX styles that use it.
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 451, reference #2.
-@standard{IEEEexample:standard,
-  title         = "Wireless {LAN} Medium Access Control {(MAC)} and 
-                   Physical Layer {(PHY)} Specification",
-  organization  = "IEEE",
-  address       = "Piscataway, NJ",
-  number        = "802.11",
-  year          = "1997"
-}
-
-
-standard with type and revision, the type overrides the word standard
-(or std.). Here a standard number is not available and a revision number
-is used.
-From the August 2000 issue of "IEEE Photonics Technology Letters",
-page 1048, reference #13.
-@standard{IEEEexample:standardproposed,
-  title         = "Fiber Channel Physical Interface ({FC-PI})",
-  institution   = "NCITS",
-  address       = "Washington, DC",
-  type          = "Working Draft Proposed Standard",
-  revision      = "5.2",
-  year          = "1999"
-}
-
-
-standard draft as a misc with author
-From the May 2002 issue of "IEEE Journal of Selected Areas in
-Communication", page 725, reference #16.
-@misc{IEEEexample:draftasmisc,
-  author        = "I. Widjaja and A. Elwalid",
-  title         = "{MATE}: {MPLS} Adaptive Traffic Engineering",
-  howpublished  = "IETF Draft",
-  year          = "1999"
-}
-
-
-
-
-
-misc for a techreport like reference
-techreport is not perfectly suitable because this entry lacks
-an institution field
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 490, reference #22.
-@misc{IEEEexample:miscforum,
-  author        = "L. Roberts",
-  title         = "Enhanced Proportional Rate Control Algorithm {PRCA}",
-  howpublished  = "{ATM} Forum Contribution 94-0735R1",
-  month         = aug,
-  year          = "1994"
-}
-
-
-misc for a white paper
-From the August 2001 issue of "IEEE/ACM Transactions on Networking",
-page 478, reference #4 - Note that the reference there (improperly?)
-used the author field for "Cisco".
-@misc{IEEEexample:whitepaper,
-  title         = "Advanced {QoS} Services for the Intelligent Internet",
-  howpublished  = "White Paper",
-  organization  = "Cisco",
-  month         = may,
-  year          = "1997"
-}
-
-
-misc for a data sheet
-From the November 2000 issue of "IEEE Photonics Technology Letters",
-page 1551, reference #6.
-@misc{IEEEexample:datasheet,
-  title         = "{PDCA12-70} Data Sheet",
-  organization  = "Opto Speed SA",
-  address       = "Mezzovico, Switzerland"
-}
-
-
-
-
-
-Other unusual references
-
-a private communication as a misc entry type
-sometimes the designation "personal communication" is used instead
-From the June 2002 issue of "IEEE Transactions on Information Theory",
-page 1725, reference #16.
-@misc{IEEEexample:private,
-  author        = "S. Konyagin",
-  howpublished  = "private communication",
-  year          = "1998"
-}
-
-
-an internet request for comments (RFC) as a misc entry type
-It would also be nice to add a URL to these types of things.
-RFCs can also be handled as electronic references.
-From the April 2002 issue of "IEEE/ACM Transactions on Networking",
-page 181, reference #14.
-@misc{IEEEexample:miscrfc,
-  author        = "K. K. Ramakrishnan and S. Floyd",
-  title         = "A Proposal to Add Explicit Congestion
-                   Notification ({ECN}) to {IP}",
-  howpublished  = "RFC 2481",
-  month         = jan,
-  year          = "1999"
-}
-
-
-a software package as a manual
-From the June 2002 issue of "IEEE/ASME Journal of Microelectromechanical
-Systems", page 205, reference #20.
-Sometimes they put the version/release information in the title.
-@manual{IEEEexample:softmanual,
-  title         = "SaberDesigner Reference Manual",
-  organization  = "Analogy, Inc.",
-  address       = "Beaverton, OR",
-  year          = "1998",
-  note          = "Release 4.3"
-}
-
-
-a software package as an electronic reference
-From the February 2003 issue of  "IEEE/ACM Transactions on Networking",
-page 46, reference #24. If there is no author or organization, a sorting
-key is required for sorting styles. It might be a good idea to include
-month and year fields as well.
-@electronic{IEEEexample:softonline,
-  title         = "Ucb/lbnl/vint Network Simulator---ns (Version 2)",
-  url           = "http://www-mash.cs.berkeley.edu/ns/",
-  key           = "ns"
-}
-
-
-misc for a German regulation
-In German, the first letters of nouns are capitalized, so we do so here.
-From the June 2002 issue of "IEEE Journal in Selected Areas in
-Communication", page 892, reference #9.
-@misc{IEEEexample:miscgermanreg,
-  title         = "{M}essung von {S}t{\"o}rfeldern an {A}nlagen 
-                   und {L}eitungen der {T}elekommunikation im
-                   {F}requenzbereich 9 {kHz} bis 3 {GHz}",
-  language      = "german",
-  howpublished  = "{M}e{\ss}vorschrift {R}eg {TP} {MV} 05",
-  organization  = "Regulierungsbeh{\"o}rde f{\"u}r {T}elekommunikation und
-                   {P}ost ({R}eg {TP})"
-}
-
-
-
-Ways to handle things like CCSDS's Blue Books
-journal article with a URL. However, this is not a very good approach
-because the Blue Books are not really journals and the author field has
-to be abused.
-From the June 2002 issue of "IEEE Transactions on Information Theory",
-page 1461, reference #7.
-@article{IEEEexample:bluebookarticle,
-  author        = "{Consulative Committee for Space Data Systems (CCSDS)}",
-  title         = "Telemetry Channel Coding",
-  journal       = "Blue Book",
-  number        = "4",
-  year          = "1999",
-  url           = "http://www.ccsds.org/documents/pdf/CCSDS-101.0-B-4.pdf"
-}
-
-
-CCSDS's Blue Book handled as a book
-However, it is not a good idea to have to use the author field for
-an organization (done here because the book entry type requires an
-author field).
-@book{IEEEexample:bluebookbook,
-  author        = "{Consulative Committee for Space Data Systems (CCSDS)}",
-  title         = "Telemetry Channel Coding",
-  series        = "Blue Book",
-  number        = "4",
-  publisher     = "{CCSDS}",
-  address       = "Newport Beach, {CA}",
-  year          = "1999",
-  url           = "http://www.ccsds.org/documents/pdf/CCSDS-101.0-B-4.pdf"
-}
-
-
-CCSDS's Blue Book handled as a manual
-This is a much better approach, but uses the howpublished field.
-@manual{IEEEexample:bluebookmanual,
-  title         = "Telemetry Channel Coding",
-  howpublished  = "ser. Blue Book, No. 4",
-  organization  = "Consulative Committee for Space Data Systems (CCSDS)",
-  address       = "Newport Beach, CA",
-  year          = "1999",
-  url           = "http://www.ccsds.org/documents/pdf/CCSDS-101.0-B-4.pdf"
-}
-
-
-
-CCSDS's Blue Book handled as a standard
-Probably the best approach for this particular case because the work
-is standard related. Note that IEEE does not display the address for
-standards.
-@standard{IEEEexample:bluebookstandard,
-  title         = "Telemetry Channel Coding",
-  howpublished  = "ser. Blue Book, No. 4",
-  organization  = "Consulative Committee for Space Data Systems (CCSDS)",
-  address       = "Newport Beach, CA",
-  type          = "Recommendation for Space Data System Standard",
-  number        = "101.0-B-4",
-  month         = May,
-  year          = "1999",
-  url           = "http://www.ccsds.org/documents/pdf/CCSDS-101.0-B-4.pdf"
-}
-
-
-
-
-
-
-
-
-An example of a IEEEtran control entry which can change some IEEEtran.bst
-settings. An entry like this must be cited via \bstctlcite{} command
-before the first real \cite{}. The same entry key cannot be called twice
-(just like multiple \cite{} of the same entry key place only one entry
-in the bibliography.)
-The available control fields are:
-
-CTLuse_article_number
-"no" turns off the display of the number for articles.
-"yes" enables
-
-CTLuse_paper
-"no" turns off the display of the paper and type fields in inproceedings.
-"yes" enables
-
-CTLuse_forced_etal 
-"no" turns off the forced use of "et al."
-"yes" enables
-
-CTLmax_names_forced_etal
-The maximum number of names that can be present beyond which an "et al."
-usage is forced. Be sure that CTLnames_show_etal (below)
-is not greater than this value!
-
-CTLnames_show_etal
-The number of names that will be shown with a forced "et al.".
-Must be less than or equal to CTLmax_names_forced_etal
-
-CTLuse_alt_spacing 
-"no" turns off the alternate interword spacing for entries with URLs.
-"yes" enables
-
-CTLalt_stretch_factor
-If alternate interword spacing for entries with URLs is enabled, this is
-the interword spacing stretch factor that will be used. For example, the
-default "4" here means that the interword spacing in entries with URLs can
-stretch to four times normal. Does not have to be an integer.
-
-CTLdash_repeated_names
-"no" turns off the "dashification" of repeated (i.e., identical to those
-of the previous entry) names. IEEE normally does this.
-"yes" enables
-
-CTLname_format_string
-The name format control string as explained in the BibTeX style hacking
-guide.
-IEEE style "{f.~}{vv~}{ll}{, jj}" is the default,
-
-CTLname_latex_cmd
-A LaTeX command that each name will be fed to (e.g., "\textsc").
-Leave empty if no special font is desired for the names.
-The default is empty.
-
-CTLname_url_prefix
-The prefix text used before URLs.
-The default is "[Online]. Available:" A space will be inserted after this
-text. If this space is not wanted, just use \relax at the end of the
-prefix text.
-
-
-Those fields that are not to be changed can be left out.
-@IEEEtranBSTCTL{IEEEexample:BSTcontrol,
-  CTLuse_article_number     = "yes",
-  CTLuse_paper              = "yes",
-  CTLuse_forced_etal        = "no",
-  CTLmax_names_forced_etal  = "10",
-  CTLnames_show_etal        = "1",
-  CTLuse_alt_spacing        = "yes",
-  CTLalt_stretch_factor     = "4",
-  CTLdash_repeated_names    = "yes",
-  CTLname_format_string     = "{f.~}{vv~}{ll}{, jj}",
-  CTLname_latex_cmd         = "",
-  CTLname_url_prefix        = "[Online]. Available:"
-}
-
-
diff --git a/mpi-energy2-extension/IEEEtran/IEEEfull.bib b/mpi-energy2-extension/IEEEtran/IEEEfull.bib
deleted file mode 100644
index 8f07c8c..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEfull.bib
+++ /dev/null
@@ -1,419 +0,0 @@
-
-IEEEfull.bib
-V1.12 (2007/01/11)
-Copyright (c) 2002-2007 by Michael Shell
-See: http://www.michaelshell.org/
-for current contact information.
-
-BibTeX bibliography string definitions of the FULL titles of
-IEEE journals and magazines and online publications.
-
-This file is designed for bibliography styles that require 
-full-length titles and is not for use in bibliographies that
-abbreviate titles.
-
-Support sites:
-http://www.michaelshell.org/tex/ieeetran/
-http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-and/or
-http://www.ieee.org/
-
-Special thanks to Laura Hyslop and ken Rawson of IEEE for their help
-in obtaining the information needed to compile this file. Also,
-Volker Kuhlmann and Moritz Borgmann kindly provided some corrections
-and additions.
-
-*************************************************************************
-Legal Notice:
-This code is offered as-is without any warranty either expressed or
-implied; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE! 
-User assumes all risk.
-In no event shall IEEE or any contributor to this code be liable for
-any damages or losses, including, but not limited to, incidental,
-consequential, or any other damages, resulting from the use or misuse
-of any information contained here.
-
-All comments are the opinions of their respective authors and are not
-necessarily endorsed by the IEEE.
-
-This work is distributed under the LaTeX Project Public License (LPPL)
-( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-distributed and modified. A copy of the LPPL, version 1.3, is included
-in the base LaTeX documentation of all distributions of LaTeX released
-2003/12/01 or later.
-Retain all contribution notices and credits.
-** Modified files should be clearly indicated as such, including  **
-** renaming them and changing author support contact information. **
-
-File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-                   IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-                   IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-*************************************************************************
-
-
-USAGE:
-
-\bibliographystyle{mybstfile}
-\bibliography{IEEEfull,mybibfile}
-
-where the IEEE titles in the .bib database entries use the strings
-defined here. e.g.,
-
-
-   journal = IEEE_J_AC,
-
-
-to yield "{IEEE} Transactions on Automatic Control"
-
-
-WARNING: IEEE uses abbreviated journal titles in their bibliographies!
-Because this file provides the full titles, you should NOT use this file
-for work that is to be submitted to the IEEE.
-
-For IEEE work, you should use the abbreviated titles provided in the
-companion file, IEEEabrv.bib.
-
-
-** NOTES **
-
- 1. Journals have been grouped according to subject in order to make it
-    easier to locate and extract the definitions for related journals - 
-    as most works use references that are confined to a single topic.
-    Magazines are listed in straight alphabetical order.
-
- 2. String names are closely based on IEEE's own internal acronyms.
-
- 3. Older, out-of-print IEEE titles are included (but not including titles
-    dating prior to IEEE's formation from the IRE and AIEE in 1963).
-
-
-
-
-
-
-IEEE Journals 
-
-
-
-aerospace and military
-@STRING{IEEE_J_AES        = "{IEEE} Transactions on Aerospace and Electronic Systems"}
-@STRING{IEEE_J_ANE        = "{IEEE} Transactions on Aerospace and Navigational Electronics"}
-@STRING{IEEE_J_ANNE       = "{IEEE} Transactions on Aeronautical and Navigational Electronics"}
-@STRING{IEEE_J_AS         = "{IEEE} Transactions on Aerospace"}
-@STRING{IEEE_J_AIRE       = "{IEEE} Transactions on Airborne Electronics"}
-@STRING{IEEE_J_MIL        = "{IEEE} Transactions on Military Electronics"}
-
-
-
-autos, transportation and vehicles (non-aerospace)
-@STRING{IEEE_J_ITS        = "{IEEE} Transactions on Intelligent Transportation Systems"}
-@STRING{IEEE_J_VT         = "{IEEE} Transactions on Vehicular Technology"}
-@STRING{IEEE_J_VC         = "{IEEE} Transactions on Vehicular Communications"}
-
-
-
-circuits, signals, systems, audio and controls
-@STRING{IEEE_J_SPL        = "{IEEE} Signal Processing Letters"}
-@STRING{IEEE_J_ASSP       = "{IEEE} Transactions on Acoustics, Speech, and Signal Processing"}
-@STRING{IEEE_J_AU         = "{IEEE} Transactions on Audio"}
-@STRING{IEEE_J_AUEA       = "{IEEE} Transactions on Audio and Electroacoustics"}
-@STRING{IEEE_J_AC         = "{IEEE} Transactions on Automatic Control"}
-@STRING{IEEE_J_CAS        = "{IEEE} Transactions on Circuits and Systems"}
-@STRING{IEEE_J_CASVT      = "{IEEE} Transactions on Circuits and Systems for Video Technology"}
-@STRING{IEEE_J_CASI       = "{IEEE} Transactions on Circuits and Systems---Part {I}: Fundamental Theory and Applications"}
-@STRING{IEEE_J_CASII      = "{IEEE} Transactions on Circuits and Systems---Part {II}: Analog and Digital Signal Processing"}
-in 2004 CASI and CASII renamed part title to CASI_RP and CASII_EB, respectively.
-@STRING{IEEE_J_CASI_RP    = "{IEEE} Transactions on Circuits and Systems---Part {I}: Regular Papers"}
-@STRING{IEEE_J_CASII_EB   = "{IEEE} Transactions on Circuits and Systems---Part {II}: Express Briefs"}
-@STRING{IEEE_J_CT         = "{IEEE} Transactions on Circuit Theory"}
-@STRING{IEEE_J_CST        = "{IEEE} Transactions on Control Systems Technology"}
-@STRING{IEEE_J_SP         = "{IEEE} Transactions on Signal Processing"}
-@STRING{IEEE_J_SU         = "{IEEE} Transactions on Sonics and Ultrasonics"}
-@STRING{IEEE_J_SAP        = "{IEEE} Transactions on Speech and Audio Processing"}
-@STRING{IEEE_J_UE         = "{IEEE} Transactions on Ultrasonics Engineering"}
-@STRING{IEEE_J_UFFC       = "{IEEE} Transactions on Ultrasonics, Ferroelectrics, and Frequency Control"}
-
-
-
-communications
-@STRING{IEEE_J_COML       = "{IEEE} Communications Letters"}
-@STRING{IEEE_J_JSAC       = "{IEEE} Journal on Selected Areas in Communications"}
-@STRING{IEEE_J_COM        = "{IEEE} Transactions on Communications"}
-@STRING{IEEE_J_COMT       = "{IEEE} Transactions on Communication Technology"}
-@STRING{IEEE_J_WCOM       = "{IEEE} Transactions on Wireless Communications"}
-
-
-
-components, packaging and manufacturing
-@STRING{IEEE_J_ADVP       = "{IEEE} Transactions on Advanced Packaging"}
-@STRING{IEEE_J_CHMT       = "{IEEE} Transactions on Components, Hybrids and Manufacturing Technology"}
-@STRING{IEEE_J_CPMTA      = "{IEEE} Transactions on Components, Packaging and Manufacturing Technology---Part {A}"}
-@STRING{IEEE_J_CPMTB      = "{IEEE} Transactions on Components, Packaging and Manufacturing Technology---Part {B}: Advanced Packaging"}
-@STRING{IEEE_J_CPMTC      = "{IEEE} Transactions on Components, Packaging and Manufacturing Technology---Part {C}: Manufacturing"}
-@STRING{IEEE_J_CAPT       = "{IEEE} Transactions on Components and Packaging Technology"}
-@STRING{IEEE_J_CAPTS      = "{IEEE} Transactions on Components and Packaging Technologies"}
-@STRING{IEEE_J_CPART      = "{IEEE} Transactions on Component Parts"}
-@STRING{IEEE_J_EPM        = "{IEEE} Transactions on Electronics Packaging Manufacturing"}
-@STRING{IEEE_J_MFT        = "{IEEE} Transactions on Manufacturing Technology"}
-@STRING{IEEE_J_PHP        = "{IEEE} Transactions on Parts, Hybrids and Packaging"}
-@STRING{IEEE_J_PMP        = "{IEEE} Transactions on Parts, Materials and Packaging"}
-
-
-
-CAD
-@STRING{IEEE_J_TCAD       = "{IEEE} Journal on Technology in Computer Aided Design"}
-@STRING{IEEE_J_CAD        = "{IEEE} Transactions on Computer-Aided Design of Integrated Circuits and Systems"}
-
-
-
-coding, data, information, knowledge
-@STRING{IEEE_J_IT         = "{IEEE} Transactions on Information Theory"}
-@STRING{IEEE_J_KDE        = "{IEEE} Transactions on Knowledge and Data Engineering"}
-
-
-
-computers, computation, networking and software
-@STRING{IEEE_J_C          = "{IEEE} Transactions on Computers"}
-@STRING{IEEE_J_CAL        = "{IEEE} Computer Architecture Letters"}
-@STRING{IEEE_J_DSC        = "{IEEE} Transactions on Dependable and Secure Computing"}
-@STRING{IEEE_J_ECOMP      = "{IEEE} Transactions on Electronic Computers"}
-@STRING{IEEE_J_EVC        = "{IEEE} Transactions on Evolutionary Computation"}
-@STRING{IEEE_J_FUZZ       = "{IEEE} Transactions on Fuzzy Systems"}
-@STRING{IEEE_J_IFS        = "{IEEE} Transactions on Information Forensics and Security"}
-@STRING{IEEE_J_MC         = "{IEEE} Transactions on Mobile Computing"}
-@STRING{IEEE_J_NET        = "{IEEE/ACM} Transactions on Networking"}
-@STRING{IEEE_J_NN         = "{IEEE} Transactions on Neural Networks"}
-@STRING{IEEE_J_PDS        = "{IEEE} Transactions on Parallel and Distributed Systems"}
-@STRING{IEEE_J_SE         = "{IEEE} Transactions on Software Engineering"}
-
-
-
-computer graphics, imaging, and multimedia
-@STRING{IEEE_J_JDT        = "{IEEE/OSA} Journal of Display Technology"}
-@STRING{IEEE_J_IP         = "{IEEE} Transactions on Image Processing"}
-@STRING{IEEE_J_MM         = "{IEEE} Transactions on Multimedia"}
-@STRING{IEEE_J_VCG        = "{IEEE} Transactions on Visualization and Computer Graphics"}
-
-
-
-cybernetics, ergonomics, robots, man-machine, and automation
-@STRING{IEEE_J_ASE        = "{IEEE} Transactions on Automation Science and Engineering"}
-@STRING{IEEE_J_JRA        = "{IEEE} Journal of Robotics and Automation"}
-@STRING{IEEE_J_HFE        = "{IEEE} Transactions on Human Factors in Electronics"}
-@STRING{IEEE_J_MMS        = "{IEEE} Transactions on Man-Machine Systems"}
-@STRING{IEEE_J_PAMI       = "{IEEE} Transactions on Pattern Analysis and Machine Intelligence"}
-in 1989 JRA became RA
-in August 2004, RA split into ASE and RO
-@STRING{IEEE_J_RA         = "{IEEE} Transactions on Robotics and Automation"}
-@STRING{IEEE_J_RO         = "{IEEE} Transactions on Robotics"}
-@STRING{IEEE_J_SMC        = "{IEEE} Transactions on Systems, Man, and Cybernetics"}
-@STRING{IEEE_J_SMCA       = "{IEEE} Transactions on Systems, Man, and Cybernetics---Part {A}: Systems and Humans"}
-@STRING{IEEE_J_SMCB       = "{IEEE} Transactions on Systems, Man, and Cybernetics---Part {B}: Cybernetics"}
-@STRING{IEEE_J_SMCC       = "{IEEE} Transactions on Systems, Man, and Cybernetics---Part {C}: Applications and Reviews"}
-@STRING{IEEE_J_SSC        = "{IEEE} Transactions on Systems Science and Cybernetics"}
-
-
-
-earth, wind, fire and water
-@STRING{IEEE_J_GE         = "{IEEE} Transactions on Geoscience Electronics"}
-@STRING{IEEE_J_GRS        = "{IEEE} Transactions on Geoscience and Remote Sensing"}
-@STRING{IEEE_J_GRSL       = "{IEEE} Geoscience and Remote Sensing Letters"}
-@STRING{IEEE_J_OE         = "{IEEE} Journal of Oceanic Engineering"}
-
-
-
-education, engineering, history, IEEE, professional
-@STRING{IEEE_J_CJECE      = "Canadian Journal of Electrical and Computer Engineering"}
-@STRING{IEEE_J_PROC       = "Proceedings of the {IEEE}"}
-@STRING{IEEE_J_EDU        = "{IEEE} Transactions on Education"}
-@STRING{IEEE_J_EM         = "{IEEE} Transactions on Engineering Management"}
-@STRING{IEEE_J_EWS        = "{IEEE} Transactions on Engineering Writing and Speech"}
-@STRING{IEEE_J_PC         = "{IEEE} Transactions on Professional Communication"}
-
-
-
-electromagnetics, antennas, EMI, magnetics and microwave
-@STRING{IEEE_J_AWPL       = "{IEEE} Antennas and Wireless Propagation Letters"}
-@STRING{IEEE_J_MGWL       = "{IEEE} Microwave and Guided Wave Letters"}
-@STRING{IEEE_J_MWCL       = "{IEEE} Microwave and Wireless Components Letters"}
-@STRING{IEEE_J_AP         = "{IEEE} Transactions on Antennas and Propagation"}
-@STRING{IEEE_J_EMC        = "{IEEE} Transactions on Electromagnetic Compatibility"}
-@STRING{IEEE_J_MAG        = "{IEEE} Transactions on Magnetics"}
-@STRING{IEEE_J_MTT        = "{IEEE} Transactions on Microwave Theory and Techniques"}
-@STRING{IEEE_J_RFI        = "{IEEE} Transactions on Radio Frequency Interference"}
-@STRING{IEEE_J_TJMJ       = "{IEEE} Translation Journal on Magnetics in Japan"}
-
-
-
-energy and power
-@STRING{IEEE_J_EC         = "{IEEE} Transactions on Energy Conversion"}
-@STRING{IEEE_J_PEL        = "{IEEE} Power Electronics Letters"}
-@STRING{IEEE_J_PWRAS      = "{IEEE} Transactions on Power Apparatus and Systems"}
-@STRING{IEEE_J_PWRD       = "{IEEE} Transactions on Power Delivery"}
-@STRING{IEEE_J_PWRE       = "{IEEE} Transactions on Power Electronics"}
-@STRING{IEEE_J_PWRS       = "{IEEE} Transactions on Power Systems"}
-
-
-
-industrial, commercial and consumer
-@STRING{IEEE_J_APPIND     = "{IEEE} Transactions on Applications and Industry"}
-@STRING{IEEE_J_BC         = "{IEEE} Transactions on Broadcasting"}
-@STRING{IEEE_J_BCTV       = "{IEEE} Transactions on Broadcast and Television Receivers"}
-@STRING{IEEE_J_CE         = "{IEEE} Transactions on Consumer Electronics"}
-@STRING{IEEE_J_IE         = "{IEEE} Transactions on Industrial Electronics"}
-@STRING{IEEE_J_IECI       = "{IEEE} Transactions on Industrial Electronics and Control Instrumentation"}
-@STRING{IEEE_J_IA         = "{IEEE} Transactions on Industry Applications"}
-@STRING{IEEE_J_IGA        = "{IEEE} Transactions on Industry and General Applications"}
-@STRING{IEEE_J_IINF       = "{IEEE} Transactions on Industrial Informatics"}
-@STRING{IEEE_J_PSE        = "{IEEE} Journal of Product Safety Engineering"}
-
-
-
-instrumentation and measurement
-@STRING{IEEE_J_IM         = "{IEEE} Transactions on Instrumentation and Measurement"}
-
-
-
-insulation and materials
-@STRING{IEEE_J_JEM        = "{IEEE/TMS} Journal of Electronic Materials"}
-@STRING{IEEE_J_DEI        = "{IEEE} Transactions on Dielectrics and Electrical Insulation"}
-@STRING{IEEE_J_EI         = "{IEEE} Transactions on Electrical Insulation"}
-
-
-
-mechanical
-@STRING{IEEE_J_MECH       = "{IEEE/ASME} Transactions on Mechatronics"}
-@STRING{IEEE_J_MEMS       = "{IEEE/ASME} Journal of Microelectromechanical Systems"}
-
-
-
-medical and biological
-@STRING{IEEE_J_BME        = "{IEEE} Transactions on Biomedical Engineering"}
-Note: The B-ME journal later dropped the hyphen and became the BME.
-@STRING{IEEE_J_B-ME       = "{IEEE} Transactions on Bio-Medical Engineering"}
-@STRING{IEEE_J_BMELC      = "{IEEE} Transactions on Bio-Medical Electronics"}
-@STRING{IEEE_J_CBB        = "{IEEE/ACM} Transactions on Computational Biology and Bioinformatics"}
-@STRING{IEEE_J_ITBM       = "{IEEE} Transactions on Information Technology in Biomedicine"}
-@STRING{IEEE_J_ME         = "{IEEE} Transactions on Medical Electronics"}
-@STRING{IEEE_J_MI         = "{IEEE} Transactions on Medical Imaging"}
-@STRING{IEEE_J_NB         = "{IEEE} Transactions on NanoBioscience"}
-@STRING{IEEE_J_NSRE       = "{IEEE} Transactions on Neural Systems and Rehabilitation Engineering"}
-@STRING{IEEE_J_RE         = "{IEEE} Transactions on Rehabilitation Engineering"}
-
-
-
-optics, lightwave and photonics
-@STRING{IEEE_J_PTL        = "{IEEE} Photonics Technology Letters"}
-@STRING{IEEE_J_JLT        = "{IEEE/OSA} Journal of Lightwave Technology"}
-
-
-
-physics, electrons, nanotechnology, nuclear and quantum electronics
-@STRING{IEEE_J_EDL        = "{IEEE} Electron Device Letters"}
-@STRING{IEEE_J_JQE        = "{IEEE} Journal of Quantum Electronics"}
-@STRING{IEEE_J_JSTQE      = "{IEEE} Journal of Selected Topics in Quantum Electronics"}
-@STRING{IEEE_J_ED         = "{IEEE} Transactions on Electron Devices"}
-@STRING{IEEE_J_NANO       = "{IEEE} Transactions on Nanotechnology"}
-@STRING{IEEE_J_NS         = "{IEEE} Transactions on Nuclear Science"}
-@STRING{IEEE_J_PS         = "{IEEE} Transactions on Plasma Science"}
-
-
-
-reliability
-@STRING{IEEE_J_DMR        = "{IEEE} Transactions on Device and Materials Reliability"}
-@STRING{IEEE_J_R          = "{IEEE} Transactions on Reliability"}
-
-
-
-semiconductors, superconductors, electrochemical and solid state
-@STRING{IEEE_J_ESSL       = "{IEEE/ECS} Electrochemical and Solid-State Letters"}
-@STRING{IEEE_J_JSSC       = "{IEEE} Journal of Solid-State Circuits"}
-@STRING{IEEE_J_ASC        = "{IEEE} Transactions on Applied Superconductivity"}
-@STRING{IEEE_J_SM         = "{IEEE} Transactions on Semiconductor Manufacturing"}
-
-
-
-sensors
-@STRING{IEEE_J_SENSOR     = "{IEEE} Sensors Journal"}
-
-
-
-VLSI
-@STRING{IEEE_J_VLSI       = "{IEEE} Transactions on Very Large Scale Integration ({VLSI}) Systems"}
-
-
-
-
-
-
-IEEE Magazines
-
-
-
-@STRING{IEEE_M_AES        = "{IEEE} Aerospace and Electronics Systems Magazine"}
-@STRING{IEEE_M_HIST       = "{IEEE} Annals of the History of Computing"}
-@STRING{IEEE_M_AP         = "{IEEE} Antennas and Propagation Magazine"}
-@STRING{IEEE_M_ASSP       = "{IEEE} {ASSP} Magazine"}
-@STRING{IEEE_M_CD         = "{IEEE} Circuits and Devices Magazine"}
-@STRING{IEEE_M_CAS        = "{IEEE} Circuits and Systems Magazine"}
-@STRING{IEEE_M_COM        = "{IEEE} Communications Magazine"}
-@STRING{IEEE_M_COMSOC     = "{IEEE} Communications Society Magazine"}
-@STRING{IEEE_M_CIM        = "{IEEE} Computational Intelligence Magazine"}
-CSEM changed to CSE in 1999
-@STRING{IEEE_M_CSE        = "{IEEE} Computing in Science and Engineering"}
-@STRING{IEEE_M_CSEM       = "{IEEE} Computational Science and Engineering Magazine"}
-@STRING{IEEE_M_C          = "{IEEE} Computer"}
-@STRING{IEEE_M_CAP        = "{IEEE} Computer Applications in Power"}
-@STRING{IEEE_M_CGA        = "{IEEE} Computer Graphics and Applications"}
-@STRING{IEEE_M_CONC       = "{IEEE} Concurrency"}
-@STRING{IEEE_M_CS         = "{IEEE} Control Systems Magazine"}
-@STRING{IEEE_M_DTC        = "{IEEE} Design and Test of Computers"}
-@STRING{IEEE_M_EI         = "{IEEE} Electrical Insulation Magazine"}
-@STRING{IEEE_M_ETR        = "{IEEE} ElectroTechnology Review"}
-@STRING{IEEE_M_EMB        = "{IEEE} Engineering in Medicine and Biology Magazine"}
-@STRING{IEEE_M_EMR        = "{IEEE} Engineering Management Review"}
-@STRING{IEEE_M_EXP        = "{IEEE} Expert"}
-@STRING{IEEE_M_IA         = "{IEEE} Industry Applications Magazine"}
-@STRING{IEEE_M_IM         = "{IEEE} Instrumentation and Measurement Magazine"}
-@STRING{IEEE_M_IS         = "{IEEE} Intelligent Systems"}
-@STRING{IEEE_M_IC         = "{IEEE} Internet Computing"}
-@STRING{IEEE_M_ITP        = "{IEEE} {IT} Professional"}
-@STRING{IEEE_M_MICRO      = "{IEEE} Micro"}
-@STRING{IEEE_M_MW         = "{IEEE} Microwave Magazine"}
-@STRING{IEEE_M_MM         = "{IEEE} Multimedia"}
-@STRING{IEEE_M_NET        = "{IEEE} Network"}
-@STRING{IEEE_M_PCOM       = "{IEEE} Personal Communications Magazine"}
-@STRING{IEEE_M_POT        = "{IEEE} Potentials"}
-CAP and PER merged to form PE in 2003
-@STRING{IEEE_M_PE         = "{IEEE} Power and Energy Magazine"}
-@STRING{IEEE_M_PER        = "{IEEE} Power Engineering Review"}
-@STRING{IEEE_M_PVC        = "{IEEE} Pervasive Computing"}
-@STRING{IEEE_M_RA         = "{IEEE} Robotics and Automation Magazine"}
-@STRING{IEEE_M_SAP        = "{IEEE} Security and Privacy"}
-@STRING{IEEE_M_SP         = "{IEEE} Signal Processing Magazine"}
-@STRING{IEEE_M_S          = "{IEEE} Software"}
-@STRING{IEEE_M_SPECT      = "{IEEE} Spectrum"}
-@STRING{IEEE_M_TS         = "{IEEE} Technology and Society Magazine"}
-@STRING{IEEE_M_VT         = "{IEEE} Vehicular Technology Magazine"}
-@STRING{IEEE_M_WC         = "{IEEE} Wireless Communications Magazine"}
-@STRING{IEEE_M_TODAY      = "Today's Engineer"}
-
-
-
-
-
-
-IEEE Online Publications 
-
-
-
-@STRING{IEEE_O_CSTO        = "{IEEE} Communications Surveys and Tutorials"}
-@STRING{IEEE_O_DSO         = "{IEEE} Distributed Systems Online"}
-
-
-
-
-
---
-EOF
diff --git a/mpi-energy2-extension/IEEEtran/IEEEtran.bst b/mpi-energy2-extension/IEEEtran/IEEEtran.bst
deleted file mode 100644
index 53fbc03..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEtran.bst
+++ /dev/null
@@ -1,2417 +0,0 @@
-%%
-%% IEEEtran.bst
-%% BibTeX Bibliography Style file for IEEE Journals and Conferences (unsorted)
-%% Version 1.12 (2007/01/11)
-%% 
-%% Copyright (c) 2003-2007 Michael Shell
-%% 
-%% Original starting code base and algorithms obtained from the output of
-%% Patrick W. Daly's makebst package as well as from prior versions of
-%% IEEE BibTeX styles:
-%% 
-%% 1. Howard Trickey and Oren Patashnik's ieeetr.bst  (1985/1988)
-%% 2. Silvano Balemi and Richard H. Roy's IEEEbib.bst (1993)
-%% 
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and/or
-%% http://www.ieee.org/
-%% 
-%% For use with BibTeX version 0.99a or later
-%%
-%% This is a numerical citation style.
-%% 
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-%%                    IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-%%                    IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-%%*************************************************************************
-%
-%
-% Changelog:
-%
-% 1.00 (2002/08/13) Initial release
-%
-% 1.10 (2002/09/27)
-%  1. Corrected minor bug for improperly formed warning message when a
-%     book was not given a title. Thanks to Ming Kin Lai for reporting this.
-%  2. Added support for CTLname_format_string and CTLname_latex_cmd fields
-%     in the BST control entry type.
-%
-% 1.11 (2003/04/02)
-%  1. Fixed bug with URLs containing underscores when using url.sty. Thanks
-%     to Ming Kin Lai for reporting this.
-%
-% 1.12 (2007/01/11)
-%  1. Fixed bug with unwanted comma before "et al." when an entry contained
-%     more than two author names. Thanks to Pallav Gupta for reporting this.
-%  2. Fixed bug with anomalous closing quote in tech reports that have a
-%     type, but without a number or address. Thanks to Mehrdad Mirreza for
-%     reporting this.
-%  3. Use braces in \providecommand in begin.bib to better support
-%     latex2html. TeX style length assignments OK with recent versions
-%     of latex2html - 1.71 (2002/2/1) or later is strongly recommended.
-%     Use of the language field still causes trouble with latex2html.
-%     Thanks to Federico Beffa for reporting this.
-%  4. Added IEEEtran.bst ID and version comment string to .bbl output.
-%  5. Provide a \BIBdecl hook that allows the user to execute commands
-%     just prior to the first entry.
-%  6. Use default urlstyle (is using url.sty) of "same" rather than rm to
-%     better work with a wider variety of bibliography styles.
-%  7. Changed month abbreviations from Sept., July and June to Sep., Jul.,
-%     and Jun., respectively, as IEEE now does. Thanks to Moritz Borgmann
-%     for reporting this.
-%  8. Control entry types should not be considered when calculating longest
-%     label width.
-%  9. Added alias www for electronic/online.
-% 10. Added CTLname_url_prefix control entry type.
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% DEFAULTS FOR THE CONTROLS OF THE BST STYLE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% These are the defaults for the user adjustable controls. The values used
-% here can be overridden by the user via IEEEtranBSTCTL entry type.
-
-% NOTE: The recommended LaTeX command to invoke a control entry type is:
-% 
-%\makeatletter
-%\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}
-%\def\@bstctlcite[#1]#2{\@bsphack
-%  \@for\@citeb:=#2\do{%
-%    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-%    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%
-%  \@esphack}
-%\makeatother
-%
-% It is called at the start of the document, before the first \cite, like:
-% \bstctlcite{IEEEexample:BSTcontrol}
-%
-% IEEEtran.cls V1.6 and later does provide this command.
-
-
-
-% #0 turns off the display of the number for articles.
-% #1 enables
-FUNCTION {default.is.use.number.for.article} { #1 }
-
-
-% #0 turns off the display of the paper and type fields in @inproceedings.
-% #1 enables
-FUNCTION {default.is.use.paper} { #1 }
-
-
-% #0 turns off the forced use of "et al."
-% #1 enables
-FUNCTION {default.is.forced.et.al} { #0 }
-
-% The maximum number of names that can be present beyond which an "et al."
-% usage is forced. Be sure that num.names.shown.with.forced.et.al (below)
-% is not greater than this value!
-% Note: There are many instances of references in IEEE journals which have
-% a very large number of authors as well as instances in which "et al." is
-% used profusely.
-FUNCTION {default.max.num.names.before.forced.et.al} { #10 }
-
-% The number of names that will be shown with a forced "et al.".
-% Must be less than or equal to max.num.names.before.forced.et.al
-FUNCTION {default.num.names.shown.with.forced.et.al} { #1 }
-
-
-% #0 turns off the alternate interword spacing for entries with URLs.
-% #1 enables
-FUNCTION {default.is.use.alt.interword.spacing} { #1 }
-
-% If alternate interword spacing for entries with URLs is enabled, this is
-% the interword spacing stretch factor that will be used. For example, the
-% default "4" here means that the interword spacing in entries with URLs can
-% stretch to four times normal. Does not have to be an integer. Note that
-% the value specified here can be overridden by the user in their LaTeX
-% code via a command such as: 
-% "\providecommand\BIBentryALTinterwordstretchfactor{1.5}" in addition to
-% that via the IEEEtranBSTCTL entry type.
-FUNCTION {default.ALTinterwordstretchfactor} { "4" }
-
-
-% #0 turns off the "dashification" of repeated (i.e., identical to those
-% of the previous entry) names. IEEE normally does this.
-% #1 enables
-FUNCTION {default.is.dash.repeated.names} { #1 }
-
-
-% The default name format control string.
-FUNCTION {default.name.format.string}{ "{f.~}{vv~}{ll}{, jj}" }
-
-
-% The default LaTeX font command for the names.
-FUNCTION {default.name.latex.cmd}{ "" }
-
-
-% The default URL prefix.
-FUNCTION {default.name.url.prefix}{ "[Online]. Available:" }
-
-
-% Other controls that cannot be accessed via IEEEtranBSTCTL entry type.
-
-% #0 turns off the terminal startup banner/completed message so as to
-% operate more quietly.
-% #1 enables
-FUNCTION {is.print.banners.to.terminal} { #1 }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% FILE VERSION AND BANNER %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION{bst.file.version} { "1.12" }
-FUNCTION{bst.file.date} { "2007/01/11" }
-FUNCTION{bst.file.website} { "http://www.michaelshell.org/tex/ieeetran/bibtex/" }
-
-FUNCTION {banner.message}
-{ is.print.banners.to.terminal
-     { "-- IEEEtran.bst version" " " * bst.file.version *
-       " (" * bst.file.date * ") " * "by Michael Shell." *
-       top$
-       "-- " bst.file.website *
-       top$
-       "-- See the " quote$ * "IEEEtran_bst_HOWTO.pdf" * quote$ * " manual for usage information." *
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-FUNCTION {completed.message}
-{ is.print.banners.to.terminal
-     { ""
-       top$
-       "Done."
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING CONSTANTS %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {bbl.and}{ "and" }
-FUNCTION {bbl.etal}{ "et~al." }
-FUNCTION {bbl.editors}{ "eds." }
-FUNCTION {bbl.editor}{ "ed." }
-FUNCTION {bbl.edition}{ "ed." }
-FUNCTION {bbl.volume}{ "vol." }
-FUNCTION {bbl.of}{ "of" }
-FUNCTION {bbl.number}{ "no." }
-FUNCTION {bbl.in}{ "in" }
-FUNCTION {bbl.pages}{ "pp." }
-FUNCTION {bbl.page}{ "p." }
-FUNCTION {bbl.chapter}{ "ch." }
-FUNCTION {bbl.paper}{ "paper" }
-FUNCTION {bbl.part}{ "pt." }
-FUNCTION {bbl.patent}{ "Patent" }
-FUNCTION {bbl.patentUS}{ "U.S." }
-FUNCTION {bbl.revision}{ "Rev." }
-FUNCTION {bbl.series}{ "ser." }
-FUNCTION {bbl.standard}{ "Std." }
-FUNCTION {bbl.techrep}{ "Tech. Rep." }
-FUNCTION {bbl.mthesis}{ "Master's thesis" }
-FUNCTION {bbl.phdthesis}{ "Ph.D. dissertation" }
-FUNCTION {bbl.st}{ "st" }
-FUNCTION {bbl.nd}{ "nd" }
-FUNCTION {bbl.rd}{ "rd" }
-FUNCTION {bbl.th}{ "th" }
-
-
-% This is the LaTeX spacer that is used when a larger than normal space
-% is called for (such as just before the address:publisher).
-FUNCTION {large.space} { "\hskip 1em plus 0.5em minus 0.4em\relax " }
-
-% The LaTeX code for dashes that are used to represent repeated names.
-% Note: Some older IEEE journals used something like
-% "\rule{0.275in}{0.5pt}\," which is fairly thick and runs right along
-% the baseline. However, IEEE now uses a thinner, above baseline,
-% six dash long sequence.
-FUNCTION {repeated.name.dashes} { "------" }
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% PREDEFINED STRING MACROS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-MACRO {jan} {"Jan."}
-MACRO {feb} {"Feb."}
-MACRO {mar} {"Mar."}
-MACRO {apr} {"Apr."}
-MACRO {may} {"May"}
-MACRO {jun} {"Jun."}
-MACRO {jul} {"Jul."}
-MACRO {aug} {"Aug."}
-MACRO {sep} {"Sep."}
-MACRO {oct} {"Oct."}
-MACRO {nov} {"Nov."}
-MACRO {dec} {"Dec."}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% ENTRY FIELDS %%
-%%%%%%%%%%%%%%%%%%
-
-ENTRY
-  { address
-    assignee
-    author
-    booktitle
-    chapter
-    day
-    dayfiled
-    edition
-    editor
-    howpublished
-    institution
-    intype
-    journal
-    key
-    language
-    month
-    monthfiled
-    nationality
-    note
-    number
-    organization
-    pages
-    paper
-    publisher
-    school
-    series
-    revision
-    title
-    type
-    url
-    volume
-    year
-    yearfiled
-    CTLuse_article_number
-    CTLuse_paper
-    CTLuse_forced_etal
-    CTLmax_names_forced_etal
-    CTLnames_show_etal
-    CTLuse_alt_spacing
-    CTLalt_stretch_factor
-    CTLdash_repeated_names
-    CTLname_format_string
-    CTLname_latex_cmd
-    CTLname_url_prefix
-  }
-  {}
-  { label }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%
-%% INTEGER VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%%
-
-INTEGERS { prev.status.punct this.status.punct punct.std
-           punct.no punct.comma punct.period 
-           prev.status.space this.status.space space.std
-           space.no space.normal space.large
-           prev.status.quote this.status.quote quote.std
-           quote.no quote.close
-           prev.status.nline this.status.nline nline.std
-           nline.no nline.newblock 
-           status.cap cap.std
-           cap.no cap.yes}
-
-INTEGERS { longest.label.width multiresult nameptr namesleft number.label numnames }
-
-INTEGERS { is.use.number.for.article
-           is.use.paper
-           is.forced.et.al
-           max.num.names.before.forced.et.al
-           num.names.shown.with.forced.et.al
-           is.use.alt.interword.spacing
-           is.dash.repeated.names}
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-STRINGS { bibinfo
-          longest.label
-          oldname
-          s
-          t
-          ALTinterwordstretchfactor
-          name.format.string
-          name.latex.cmd
-          name.url.prefix}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LOW LEVEL FUNCTIONS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.controls}
-{ default.is.use.number.for.article 'is.use.number.for.article :=
-  default.is.use.paper 'is.use.paper :=
-  default.is.forced.et.al 'is.forced.et.al :=
-  default.max.num.names.before.forced.et.al 'max.num.names.before.forced.et.al :=
-  default.num.names.shown.with.forced.et.al 'num.names.shown.with.forced.et.al :=
-  default.is.use.alt.interword.spacing 'is.use.alt.interword.spacing :=
-  default.is.dash.repeated.names 'is.dash.repeated.names :=
-  default.ALTinterwordstretchfactor 'ALTinterwordstretchfactor :=
-  default.name.format.string 'name.format.string :=
-  default.name.latex.cmd 'name.latex.cmd :=
-  default.name.url.prefix 'name.url.prefix :=
-}
-
-
-% This IEEEtran.bst features a very powerful and flexible mechanism for
-% controlling the capitalization, punctuation, spacing, quotation, and
-% newlines of the formatted entry fields. (Note: IEEEtran.bst does not need
-% or use the newline/newblock feature, but it has been implemented for
-% possible future use.) The output states of IEEEtran.bst consist of
-% multiple independent attributes and, as such, can be thought of as being
-% vectors, rather than the simple scalar values ("before.all", 
-% "mid.sentence", etc.) used in most other .bst files.
-% 
-% The more flexible and complex design used here was motivated in part by
-% IEEE's rather unusual bibliography style. For example, IEEE ends the
-% previous field item with a period and large space prior to the publisher
-% address; the @electronic entry types use periods as inter-item punctuation
-% rather than the commas used by the other entry types; and URLs are never
-% followed by periods even though they are the last item in the entry.
-% Although it is possible to accommodate these features with the conventional
-% output state system, the seemingly endless exceptions make for convoluted,
-% unreliable and difficult to maintain code.
-%
-% IEEEtran.bst's output state system can be easily understood via a simple
-% illustration of two most recently formatted entry fields (on the stack):
-%
-%               CURRENT_ITEM
-%               "PREVIOUS_ITEM
-%
-% which, in this example, is to eventually appear in the bibliography as:
-% 
-%               "PREVIOUS_ITEM," CURRENT_ITEM
-%
-% It is the job of the output routine to take the previous item off of the
-% stack (while leaving the current item at the top of the stack), apply its
-% trailing punctuation (including closing quote marks) and spacing, and then
-% to write the result to BibTeX's output buffer:
-% 
-%               "PREVIOUS_ITEM," 
-% 
-% Punctuation (and spacing) between items is often determined by both of the
-% items rather than just the first one. The presence of quotation marks
-% further complicates the situation because, in standard English, trailing
-% punctuation marks are supposed to be contained within the quotes.
-% 
-% IEEEtran.bst maintains two output state (aka "status") vectors which
-% correspond to the previous and current (aka "this") items. Each vector
-% consists of several independent attributes which track punctuation,
-% spacing, quotation, and newlines. Capitalization status is handled by a
-% separate scalar because the format routines, not the output routine,
-% handle capitalization and, therefore, there is no need to maintain the
-% capitalization attribute for both the "previous" and "this" items.
-% 
-% When a format routine adds a new item, it copies the current output status
-% vector to the previous output status vector and (usually) resets the
-% current (this) output status vector to a "standard status" vector. Using a
-% "standard status" vector in this way allows us to redefine what we mean by
-% "standard status" at the start of each entry handler and reuse the same
-% format routines under the various inter-item separation schemes. For
-% example, the standard status vector for the @book entry type may use
-% commas for item separators, while the @electronic type may use periods,
-% yet both entry handlers exploit many of the exact same format routines.
-% 
-% Because format routines have write access to the output status vector of
-% the previous item, they can override the punctuation choices of the
-% previous format routine! Therefore, it becomes trivial to implement rules
-% such as "Always use a period and a large space before the publisher." By
-% pushing the generation of the closing quote mark to the output routine, we
-% avoid all the problems caused by having to close a quote before having all
-% the information required to determine what the punctuation should be.
-%
-% The IEEEtran.bst output state system can easily be expanded if needed.
-% For instance, it is easy to add a "space.tie" attribute value if the
-% bibliography rules mandate that two items have to be joined with an
-% unbreakable space. 
-
-FUNCTION {initialize.status.constants}
-{ #0 'punct.no :=
-  #1 'punct.comma :=
-  #2 'punct.period :=
-  #0 'space.no := 
-  #1 'space.normal :=
-  #2 'space.large :=
-  #0 'quote.no :=
-  #1 'quote.close :=
-  #0 'cap.no :=
-  #1 'cap.yes :=
-  #0 'nline.no :=
-  #1 'nline.newblock :=
-}
-
-FUNCTION {std.status.using.comma}
-{ punct.comma 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.no 'cap.std :=
-}
-
-FUNCTION {std.status.using.period}
-{ punct.period 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.yes 'cap.std :=
-}
-
-FUNCTION {initialize.prev.this.status}
-{ punct.no 'prev.status.punct :=
-  space.no 'prev.status.space :=
-  quote.no 'prev.status.quote :=
-  nline.no 'prev.status.nline :=
-  punct.no 'this.status.punct :=
-  space.no 'this.status.space :=
-  quote.no 'this.status.quote :=
-  nline.no 'this.status.nline :=
-  cap.yes 'status.cap :=
-}
-
-FUNCTION {this.status.std}
-{ punct.std 'this.status.punct :=
-  space.std 'this.status.space :=
-  quote.std 'this.status.quote :=
-  nline.std 'this.status.nline :=
-}
-
-FUNCTION {cap.status.std}{ cap.std 'status.cap := }
-
-FUNCTION {this.to.prev.status}
-{ this.status.punct 'prev.status.punct :=
-  this.status.space 'prev.status.space :=
-  this.status.quote 'prev.status.quote :=
-  this.status.nline 'prev.status.nline :=
-}
-
-
-FUNCTION {not}
-{   { #0 }
-    { #1 }
-  if$
-}
-
-FUNCTION {and}
-{   { skip$ }
-    { pop$ #0 }
-  if$
-}
-
-FUNCTION {or}
-{   { pop$ #1 }
-    { skip$ }
-  if$
-}
-
-
-% convert the strings "yes" or "no" to #1 or #0 respectively
-FUNCTION {yes.no.to.int}
-{ "l" change.case$ duplicate$
-    "yes" =
-    { pop$  #1 }
-    { duplicate$ "no" =
-        { pop$ #0 }
-        { "unknown boolean " quote$ * swap$ * quote$ *
-          " in " * cite$ * warning$
-          #0
-        }
-      if$
-    }
-  if$
-}
-
-
-% pushes true if the single char string on the stack is in the
-% range of "0" to "9"
-FUNCTION {is.num}
-{ chr.to.int$
-  duplicate$ "0" chr.to.int$ < not
-  swap$ "9" chr.to.int$ > not and
-}
-
-% multiplies the integer on the stack by a factor of 10
-FUNCTION {bump.int.mag}
-{ #0 'multiresult :=
-    { duplicate$ #0 > }
-    { #1 -
-      multiresult #10 +
-      'multiresult :=
-    }
-  while$
-pop$
-multiresult
-}
-
-% converts a single character string on the stack to an integer
-FUNCTION {char.to.integer}
-{ duplicate$ 
-  is.num
-    { chr.to.int$ "0" chr.to.int$ - }
-    {"noninteger character " quote$ * swap$ * quote$ *
-          " in integer field of " * cite$ * warning$
-    #0
-    }
-  if$
-}
-
-% converts a string on the stack to an integer
-FUNCTION {string.to.integer}
-{ duplicate$ text.length$ 'namesleft :=
-  #1 'nameptr :=
-  #0 'numnames :=
-    { nameptr namesleft > not }
-    { duplicate$ nameptr #1 substring$
-      char.to.integer numnames bump.int.mag +
-      'numnames :=
-      nameptr #1 +
-      'nameptr :=
-    }
-  while$
-pop$
-numnames
-}
-
-
-
-
-% The output routines write out the *next* to the top (previous) item on the
-% stack, adding punctuation and such as needed. Since IEEEtran.bst maintains
-% the output status for the top two items on the stack, these output
-% routines have to consider the previous output status (which corresponds to
-% the item that is being output). Full independent control of punctuation,
-% closing quote marks, spacing, and newblock is provided.
-% 
-% "output.nonnull" does not check for the presence of a previous empty
-% item.
-% 
-% "output" does check for the presence of a previous empty item and will
-% remove an empty item rather than outputing it.
-% 
-% "output.warn" is like "output", but will issue a warning if it detects
-% an empty item.
-
-FUNCTION {output.nonnull}
-{ swap$
-  prev.status.punct punct.comma =
-     { "," * }
-     { skip$ }
-   if$
-  prev.status.punct punct.period =
-     { add.period$ }
-     { skip$ }
-   if$ 
-  prev.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-  prev.status.space space.normal =
-     { " " * }
-     { skip$ }
-   if$
-  prev.status.space space.large =
-     { large.space * }
-     { skip$ }
-   if$
-  write$
-  prev.status.nline nline.newblock =
-     { newline$ "\newblock " write$ }
-     { skip$ }
-   if$
-}
-
-FUNCTION {output}
-{ duplicate$ empty$
-    'pop$
-    'output.nonnull
-  if$
-}
-
-FUNCTION {output.warn}
-{ 't :=
-  duplicate$ empty$
-    { pop$ "empty " t * " in " * cite$ * warning$ }
-    'output.nonnull
-  if$
-}
-
-% "fin.entry" is the output routine that handles the last item of the entry
-% (which will be on the top of the stack when "fin.entry" is called).
-
-FUNCTION {fin.entry}
-{ this.status.punct punct.no =
-     { skip$ }
-     { add.period$ }
-   if$
-   this.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-write$
-newline$
-}
-
-
-FUNCTION {is.last.char.not.punct}
-{ duplicate$
-   "}" * add.period$
-   #-1 #1 substring$ "." =
-}
-
-FUNCTION {is.multiple.pages}
-{ 't :=
-  #0 'multiresult :=
-    { multiresult not
-      t empty$ not
-      and
-    }
-    { t #1 #1 substring$
-      duplicate$ "-" =
-      swap$ duplicate$ "," =
-      swap$ "+" =
-      or or
-        { #1 'multiresult := }
-        { t #2 global.max$ substring$ 't := }
-      if$
-    }
-  while$
-  multiresult
-}
-
-FUNCTION {capitalize}{ "u" change.case$ "t" change.case$ }
-
-FUNCTION {emphasize}
-{ duplicate$ empty$
-    { pop$ "" }
-    { "\emph{" swap$ * "}" * }
-  if$
-}
-
-FUNCTION {do.name.latex.cmd}
-{ name.latex.cmd
-  empty$
-    { skip$ }
-    { name.latex.cmd "{" * swap$ * "}" * }
-  if$
-}
-
-% IEEEtran.bst uses its own \BIBforeignlanguage command which directly
-% invokes the TeX hyphenation patterns without the need of the Babel
-% package. Babel does a lot more than switch hyphenation patterns and
-% its loading can cause unintended effects in many class files (such as
-% IEEEtran.cls).
-FUNCTION {select.language}
-{ duplicate$ empty$ 'pop$
-    { language empty$ 'skip$
-        { "\BIBforeignlanguage{" language * "}{" * swap$ * "}" * }
-      if$
-    }
-  if$
-}
-
-FUNCTION {tie.or.space.prefix}
-{ duplicate$ text.length$ #3 <
-    { "~" }
-    { " " }
-  if$
-  swap$
-}
-
-FUNCTION {get.bbl.editor}
-{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ }
-
-FUNCTION {space.word}{ " " swap$ * " " * }
-
-
-% Field Conditioners, Converters, Checkers and External Interfaces
-
-FUNCTION {empty.field.to.null.string}
-{ duplicate$ empty$
-    { pop$ "" }
-    { skip$ }
-  if$
-}
-
-FUNCTION {either.or.check}
-{ empty$
-    { pop$ }
-    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
-  if$
-}
-
-FUNCTION {empty.entry.warn}
-{ author empty$ title empty$ howpublished empty$
-  month empty$ year empty$ note empty$ url empty$
-  and and and and and and
-    { "all relevant fields are empty in " cite$ * warning$ }
-    'skip$
-  if$
-}
-
-
-% The bibinfo system provides a way for the electronic parsing/acquisition
-% of a bibliography's contents as is done by ReVTeX. For example, a field
-% could be entered into the bibliography as:
-% \bibinfo{volume}{2}
-% Only the "2" would show up in the document, but the LaTeX \bibinfo command
-% could do additional things with the information. IEEEtran.bst does provide
-% a \bibinfo command via "\providecommand{\bibinfo}[2]{#2}". However, it is
-% currently not used as the bogus bibinfo functions defined here output the
-% entry values directly without the \bibinfo wrapper. The bibinfo functions
-% themselves (and the calls to them) are retained for possible future use.
-% 
-% bibinfo.check avoids acting on missing fields while bibinfo.warn will
-% issue a warning message if a missing field is detected. Prior to calling
-% the bibinfo functions, the user should push the field value and then its
-% name string, in that order.
-
-FUNCTION {bibinfo.check}
-{ swap$ duplicate$ missing$
-    { pop$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ pop$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-FUNCTION {bibinfo.warn}
-{ swap$ duplicate$ missing$
-    { swap$ "missing " swap$ * " in " * cite$ * warning$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ "empty " swap$ * " in " * cite$ * warning$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-
-% IEEE separates large numbers with more than 4 digits into groups of
-% three. IEEE uses a small space to separate these number groups. 
-% Typical applications include patent and page numbers.
-
-% number of consecutive digits required to trigger the group separation.
-FUNCTION {large.number.trigger}{ #5 }
-
-% For numbers longer than the trigger, this is the blocksize of the groups.
-% The blocksize must be less than the trigger threshold, and 2 * blocksize
-% must be greater than the trigger threshold (can't do more than one
-% separation on the initial trigger).
-FUNCTION {large.number.blocksize}{ #3 }
-
-% What is actually inserted between the number groups.
-FUNCTION {large.number.separator}{ "\," }
-
-% So as to save on integer variables by reusing existing ones, numnames
-% holds the current number of consecutive digits read and nameptr holds
-% the number that will trigger an inserted space.
-FUNCTION {large.number.separate}
-{ 't :=
-  ""
-  #0 'numnames :=
-  large.number.trigger 'nameptr :=
-  { t empty$ not }
-  { t #-1 #1 substring$ is.num
-      { numnames #1 + 'numnames := }
-      { #0 'numnames := 
-        large.number.trigger 'nameptr :=
-      }
-    if$
-    t #-1 #1 substring$ swap$ *
-    t #-2 global.max$ substring$ 't :=
-    numnames nameptr =
-      { duplicate$ #1 nameptr large.number.blocksize - substring$ swap$
-        nameptr large.number.blocksize - #1 + global.max$ substring$
-        large.number.separator swap$ * *
-        nameptr large.number.blocksize - 'numnames :=
-        large.number.blocksize #1 + 'nameptr :=
-      }
-      { skip$ }
-    if$
-  }
-  while$
-}
-
-% Converts all single dashes "-" to double dashes "--".
-FUNCTION {n.dashify}
-{ large.number.separate
-  't :=
-  ""
-    { t empty$ not }
-    { t #1 #1 substring$ "-" =
-        { t #1 #2 substring$ "--" = not
-            { "--" *
-              t #2 global.max$ substring$ 't :=
-            }
-            {   { t #1 #1 substring$ "-" = }
-                { "-" *
-                  t #2 global.max$ substring$ 't :=
-                }
-              while$
-            }
-          if$
-        }
-        { t #1 #1 substring$ *
-          t #2 global.max$ substring$ 't :=
-        }
-      if$
-    }
-  while$
-}
-
-
-% This function detects entries with names that are identical to that of
-% the previous entry and replaces the repeated names with dashes (if the
-% "is.dash.repeated.names" user control is nonzero).
-FUNCTION {name.or.dash}
-{ 's :=
-   oldname empty$
-     { s 'oldname := s }
-     { s oldname =
-         { is.dash.repeated.names
-              { repeated.name.dashes }
-              { s 'oldname := s }
-            if$
-         }
-         { s 'oldname := s }
-       if$
-     }
-   if$
-}
-
-% Converts the number string on the top of the stack to
-% "numerical ordinal form" (e.g., "7" to "7th"). There is
-% no artificial limit to the upper bound of the numbers as the
-% least significant digit always determines the ordinal form.
-FUNCTION {num.to.ordinal}
-{ duplicate$ #-1 #1 substring$ "1" =
-     { bbl.st * }
-     { duplicate$ #-1 #1 substring$ "2" =
-         { bbl.nd * }
-         { duplicate$ #-1 #1 substring$ "3" =
-             { bbl.rd * }
-             { bbl.th * }
-           if$
-         }
-       if$
-     }
-   if$
-}
-
-% If the string on the top of the stack begins with a number,
-% (e.g., 11th) then replace the string with the leading number
-% it contains. Otherwise retain the string as-is. s holds the
-% extracted number, t holds the part of the string that remains
-% to be scanned.
-FUNCTION {extract.num}
-{ duplicate$ 't :=
-  "" 's :=
-  { t empty$ not }
-  { t #1 #1 substring$
-    t #2 global.max$ substring$ 't :=
-    duplicate$ is.num
-      { s swap$ * 's := }
-      { pop$ "" 't := }
-    if$
-  }
-  while$
-  s empty$
-    'skip$
-    { pop$ s }
-  if$
-}
-
-% Converts the word number string on the top of the stack to
-% Arabic string form. Will be successful up to "tenth".
-FUNCTION {word.to.num}
-{ duplicate$ "l" change.case$ 's :=
-  s "first" =
-    { pop$ "1" }
-    { skip$ }
-  if$
-  s "second" =
-    { pop$ "2" }
-    { skip$ }
-  if$
-  s "third" =
-    { pop$ "3" }
-    { skip$ }
-  if$
-  s "fourth" =
-    { pop$ "4" }
-    { skip$ }
-  if$
-  s "fifth" =
-    { pop$ "5" }
-    { skip$ }
-  if$
-  s "sixth" =
-    { pop$ "6" }
-    { skip$ }
-  if$
-  s "seventh" =
-    { pop$ "7" }
-    { skip$ }
-  if$
-  s "eighth" =
-    { pop$ "8" }
-    { skip$ }
-  if$
-  s "ninth" =
-    { pop$ "9" }
-    { skip$ }
-  if$
-  s "tenth" =
-    { pop$ "10" }
-    { skip$ }
-  if$
-}
-
-
-% Converts the string on the top of the stack to numerical
-% ordinal (e.g., "11th") form.
-FUNCTION {convert.edition}
-{ duplicate$ empty$ 'skip$
-    { duplicate$ #1 #1 substring$ is.num
-        { extract.num
-          num.to.ordinal
-        }
-        { word.to.num
-          duplicate$ #1 #1 substring$ is.num
-            { num.to.ordinal }
-            { "edition ordinal word " quote$ * edition * quote$ *
-              " may be too high (or improper) for conversion" * " in " * cite$ * warning$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LATEX BIBLIOGRAPHY CODE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {start.entry}
-{ newline$
-  "\bibitem{" write$
-  cite$ write$
-  "}" write$
-  newline$
-  ""
-  initialize.prev.this.status
-}
-
-% Here we write out all the LaTeX code that we will need. The most involved
-% code sequences are those that control the alternate interword spacing and
-% foreign language hyphenation patterns. The heavy use of \providecommand
-% gives users a way to override the defaults. Special thanks to Javier Bezos,
-% Johannes Braams, Robin Fairbairns, Heiko Oberdiek, Donald Arseneau and all
-% the other gurus on comp.text.tex for their help and advice on the topic of
-% \selectlanguage, Babel and BibTeX.
-FUNCTION {begin.bib}
-{ "% Generated by IEEEtran.bst, version: " bst.file.version * " (" * bst.file.date * ")" *
-  write$ newline$
-  preamble$ empty$ 'skip$
-    { preamble$ write$ newline$ }
-  if$
-  "\begin{thebibliography}{"  longest.label  * "}" *
-  write$ newline$
-  "\providecommand{\url}[1]{#1}"
-  write$ newline$
-  "\csname url@samestyle\endcsname"
-  write$ newline$
-  "\providecommand{\newblock}{\relax}"
-  write$ newline$
-  "\providecommand{\bibinfo}[2]{#2}"
-  write$ newline$
-  "\providecommand{\BIBentrySTDinterwordspacing}{\spaceskip=0pt\relax}"
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordstretchfactor}{"
-  ALTinterwordstretchfactor * "}" *
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordspacing}{\spaceskip=\fontdimen2\font plus "
-  write$ newline$
-  "\BIBentryALTinterwordstretchfactor\fontdimen3\font minus \fontdimen4\font\relax}"
-  write$ newline$
-  "\providecommand{\BIBforeignlanguage}[2]{{%"
-  write$ newline$
-  "\expandafter\ifx\csname l@#1\endcsname\relax"
-  write$ newline$
-  "\typeout{** WARNING: IEEEtran.bst: No hyphenation pattern has been}%"
-  write$ newline$
-  "\typeout{** loaded for the language `#1'. Using the pattern for}%"
-  write$ newline$
-  "\typeout{** the default language instead.}%"
-  write$ newline$
-  "\else"
-  write$ newline$
-  "\language=\csname l@#1\endcsname"
-  write$ newline$
-  "\fi"
-  write$ newline$
-  "#2}}"
-  write$ newline$
-  "\providecommand{\BIBdecl}{\relax}"
-  write$ newline$
-  "\BIBdecl"
-  write$ newline$
-}
-
-FUNCTION {end.bib}
-{ newline$ "\end{thebibliography}" write$ newline$ }
-
-FUNCTION {if.url.alt.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentryALTinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-FUNCTION {if.url.std.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentrySTDinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%
-%% LONGEST LABEL PASS %%
-%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.longest.label}
-{ "" 'longest.label :=
-  #1 'number.label :=
-  #0 'longest.label.width :=
-}
-
-FUNCTION {longest.label.pass}
-{ type$ "ieeetranbstctl" =
-    { skip$ }
-    { number.label int.to.str$ 'label :=
-      number.label #1 + 'number.label :=
-      label width$ longest.label.width >
-        { label 'longest.label :=
-          label width$ 'longest.label.width :=
-        }
-        { skip$ }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%
-%% FORMAT HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%%
-
-%% Lower Level Formats (used by higher level formats)
-
-FUNCTION {format.address.org.or.pub.date}
-{ 't :=
-  ""
-  year empty$
-    { "empty year in " cite$ * warning$ }
-    { skip$ }
-  if$
-  address empty$ t empty$ and
-  year empty$ and month empty$ and
-    { skip$ }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      address "address" bibinfo.check *
-      t empty$
-        { skip$ }
-        { punct.period 'prev.status.punct :=
-          space.large 'prev.status.space :=
-          address empty$
-            { skip$ }
-            { ": " * }
-          if$
-          t *
-        }
-      if$
-      year empty$ month empty$ and
-        { skip$ }
-        { t empty$ address empty$ and
-            { skip$ }
-            { ", " * }
-          if$
-          month empty$
-            { year empty$
-                { skip$ }
-                { year "year" bibinfo.check * }
-              if$
-            }
-            { month "month" bibinfo.check *
-              year empty$
-                 { skip$ }
-                 { " " * year "year" bibinfo.check * }
-              if$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-FUNCTION {format.names}
-{ 'bibinfo :=
-  duplicate$ empty$ 'skip$ {
-  this.to.prev.status
-  this.status.std
-  's :=
-  "" 't :=
-  #1 'nameptr :=
-  s num.names$ 'numnames :=
-  numnames 'namesleft :=
-    { namesleft #0 > }
-    { s nameptr
-      name.format.string
-      format.name$
-      bibinfo bibinfo.check
-      't :=
-      nameptr #1 >
-        { nameptr num.names.shown.with.forced.et.al #1 + =
-          numnames max.num.names.before.forced.et.al >
-          is.forced.et.al and and
-            { "others" 't :=
-              #1 'namesleft :=
-            }
-            { skip$ }
-          if$
-          namesleft #1 >
-            { ", " * t do.name.latex.cmd * }
-            { s nameptr "{ll}" format.name$ duplicate$ "others" =
-                { 't := }
-                { pop$ }
-              if$
-              t "others" =
-                { " " * bbl.etal emphasize * }
-                { numnames #2 >
-                    { "," * }
-                    { skip$ }
-                  if$
-                  bbl.and
-                  space.word * t do.name.latex.cmd *
-                }
-              if$
-            }
-          if$
-        }
-        { t do.name.latex.cmd }
-      if$
-      nameptr #1 + 'nameptr :=
-      namesleft #1 - 'namesleft :=
-    }
-  while$
-  cap.status.std
-  } if$
-}
-
-
-
-
-%% Higher Level Formats
-
-%% addresses/locations
-
-FUNCTION {format.address}
-{ address duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% author/editor names
-
-FUNCTION {format.authors}{ author "author" format.names }
-
-FUNCTION {format.editors}
-{ editor "editor" format.names duplicate$ empty$ 'skip$
-    { ", " *
-      get.bbl.editor
-      capitalize
-      *
-    }
-  if$
-}
-
-
-
-%% date
-
-FUNCTION {format.date}
-{
-  month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 'skip$
-        { this.to.prev.status
-          this.status.std
-          cap.status.std
-         "there's a month but no year in " cite$ * warning$ }
-      if$
-      *
-    }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      swap$ 'skip$
-        {
-          swap$
-          " " * swap$
-        }
-      if$
-      *
-    }
-  if$
-}
-
-FUNCTION {format.date.electronic}
-{ month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 
-        { pop$ }
-        { "there's a month but no year in " cite$ * warning$
-        pop$ ")" * "(" swap$ *
-        this.to.prev.status
-        punct.no 'this.status.punct :=
-        space.normal 'this.status.space :=
-        quote.no 'this.status.quote :=
-        cap.yes  'status.cap :=
-        }
-      if$
-    }
-    { swap$ 
-        { swap$ pop$ ")" * "(" swap$ * }
-        { "(" swap$ * ", " * swap$ * ")" * }
-      if$
-    this.to.prev.status
-    punct.no 'this.status.punct :=
-    space.normal 'this.status.space :=
-    quote.no 'this.status.quote :=
-    cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% edition/title
-
-% Note: IEEE considers the edition to be closely associated with
-% the title of a book. So, in IEEEtran.bst the edition is normally handled 
-% within the formatting of the title. The format.edition function is 
-% retained here for possible future use.
-FUNCTION {format.edition}
-{ edition duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      convert.edition
-      status.cap
-        { "t" }
-        { "l" }
-      if$ change.case$
-      "edition" bibinfo.check
-      "~" * bbl.edition *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of a conference proceedings.
-% Here we use the "intype" field to provide the user a way to 
-% override the word "in" (e.g., with things like "presented at")
-% Use of intype stops the emphasis of the booktitle to indicate that
-% we no longer mean the written conference proceedings, but the
-% conference itself.
-FUNCTION {format.in.booktitle}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      intype missing$
-        { emphasize
-          bbl.in " " *
-        }
-        { intype " " * }
-      if$
-      swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of collection.
-% Here the "intype" field is not supported, but "edition" is.
-FUNCTION {format.in.booktitle.edition}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          "l" change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      bbl.in " " * swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      "t" change.case$
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { quote.close 'this.status.quote :=
-      is.last.char.not.punct
-        { punct.std 'this.status.punct := }
-        { punct.no 'this.status.punct := }
-      if$
-      select.language
-      "``" swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title.electronic}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      "t" change.case$ 
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 
-    { skip$ } 
-    { select.language }
-  if$
-}
-
-FUNCTION {format.book.title.edition}
-{ title "title" bibinfo.check
-  duplicate$ empty$
-    { "empty title in " cite$ * warning$ }
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          status.cap
-            { "t" }
-            { "l" }
-          if$
-          change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.book.title}
-{ title "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% journal
-
-FUNCTION {format.journal}
-{ journal duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% how published
-
-FUNCTION {format.howpublished}
-{ howpublished duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% institutions/organization/publishers/school
-
-FUNCTION {format.institution}
-{ institution duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.organization}
-{ organization duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.address.publisher.date}
-{ publisher "publisher" bibinfo.warn format.address.org.or.pub.date }
-
-FUNCTION {format.address.publisher.date.nowarn}
-{ publisher "publisher" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.address.organization.date}
-{ organization "organization" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.school}
-{ school duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% volume/number/series/chapter/pages
-
-FUNCTION {format.volume}
-{ volume empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      bbl.volume 
-      status.cap
-        { capitalize }
-        { skip$ }
-      if$
-      swap$ tie.or.space.prefix
-      "volume" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number}
-{ number empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      status.cap
-         { bbl.number capitalize }
-         { bbl.number }
-       if$
-      swap$ tie.or.space.prefix
-      "number" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number.if.use.for.article}
-{ is.use.number.for.article 
-     { format.number }
-     { "" }
-   if$
-}
-
-% IEEE does not seem to tie the series so closely with the volume
-% and number as is done in other bibliography styles. Instead the
-% series is treated somewhat like an extension of the title.
-FUNCTION {format.series}
-{ series empty$ 
-   { "" }
-   { this.to.prev.status
-     this.status.std
-     bbl.series " " *
-     series "series" bibinfo.check *
-     cap.status.std
-   }
- if$
-}
-
-
-FUNCTION {format.chapter}
-{ chapter empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      type empty$
-        { bbl.chapter }
-        { type "l" change.case$
-          "type" bibinfo.check
-        }
-      if$
-      chapter tie.or.space.prefix
-      "chapter" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-% The intended use of format.paper is for paper numbers of inproceedings.
-% The paper type can be overridden via the type field.
-% We allow the type to be displayed even if the paper number is absent
-% for things like "postdeadline paper"
-FUNCTION {format.paper}
-{ is.use.paper
-     { paper empty$
-        { type empty$
-            { "" }
-            { this.to.prev.status
-              this.status.std
-              type "type" bibinfo.check
-              cap.status.std
-            }
-          if$
-        }
-        { this.to.prev.status
-          this.status.std
-          type empty$
-            { bbl.paper }
-            { type "type" bibinfo.check }
-          if$
-          " " * paper
-          "paper" bibinfo.check
-          *
-          cap.status.std
-        }
-      if$
-     }
-     { "" } 
-   if$
-}
-
-
-FUNCTION {format.pages}
-{ pages duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      duplicate$ is.multiple.pages
-        {
-          bbl.pages swap$
-          n.dashify
-        }
-        {
-          bbl.page swap$
-        }
-      if$
-      tie.or.space.prefix
-      "pages" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% technical report number
-
-FUNCTION {format.tech.report.number}
-{ number "number" bibinfo.check
-  this.to.prev.status
-  this.status.std
-  cap.status.std
-  type duplicate$ empty$
-    { pop$ 
-      bbl.techrep
-    }
-    { skip$ }
-  if$
-  "type" bibinfo.check 
-  swap$ duplicate$ empty$
-    { pop$ }
-    { tie.or.space.prefix * * }
-  if$
-}
-
-
-
-%% note
-
-FUNCTION {format.note}
-{ note empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      punct.period 'this.status.punct :=
-      note #1 #1 substring$
-      duplicate$ "{" =
-        { skip$ }
-        { status.cap
-          { "u" }
-          { "l" }
-        if$
-        change.case$
-        }
-      if$
-      note #2 global.max$ substring$ * "note" bibinfo.check
-      cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% patent
-
-FUNCTION {format.patent.date}
-{ this.to.prev.status
-  this.status.std
-  year empty$
-    { monthfiled duplicate$ empty$
-        { "monthfiled" bibinfo.check pop$ "" }
-        { "monthfiled" bibinfo.check }
-      if$
-      dayfiled duplicate$ empty$
-        { "dayfiled" bibinfo.check pop$ "" * }
-        { "dayfiled" bibinfo.check 
-          monthfiled empty$ 
-             { "dayfiled without a monthfiled in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      yearfiled empty$
-        { "no year or yearfiled in " cite$ * warning$ }
-        { yearfiled "yearfiled" bibinfo.check 
-          swap$
-          duplicate$ empty$
-             { pop$ }
-             { ", " * swap$ * }
-           if$
-        }
-      if$
-    }
-    { month duplicate$ empty$
-        { "month" bibinfo.check pop$ "" }
-        { "month" bibinfo.check }
-      if$
-      day duplicate$ empty$
-        { "day" bibinfo.check pop$ "" * }
-        { "day" bibinfo.check 
-          month empty$ 
-             { "day without a month in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      year "year" bibinfo.check 
-      swap$
-      duplicate$ empty$
-        { pop$ }
-        { ", " * swap$ * }
-      if$
-    }
-  if$
-  cap.status.std
-}
-
-FUNCTION {format.patent.nationality.type.number}
-{ this.to.prev.status
-  this.status.std
-  nationality duplicate$ empty$
-    { "nationality" bibinfo.warn pop$ "" }
-    { "nationality" bibinfo.check
-      duplicate$ "l" change.case$ "united states" =
-        { pop$ bbl.patentUS }
-        { skip$ }
-      if$
-      " " *
-    }
-  if$
-  type empty$
-    { bbl.patent "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.warn pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-
-
-%% standard
-
-FUNCTION {format.organization.institution.standard.type.number}
-{ this.to.prev.status
-  this.status.std
-  organization duplicate$ empty$
-    { pop$ 
-      institution duplicate$ empty$
-        { "institution" bibinfo.warn }
-        { "institution" bibinfo.warn " " * }
-      if$
-    }
-    { "organization" bibinfo.warn " " * }
-  if$
-  type empty$
-    { bbl.standard "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.check pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-FUNCTION {format.revision}
-{ revision empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      bbl.revision
-      revision tie.or.space.prefix
-      "revision" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-%% thesis
-
-FUNCTION {format.master.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.mthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-FUNCTION {format.phd.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.phdthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-
-
-%% URL
-
-FUNCTION {format.url}
-{ url empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      cap.yes 'status.cap :=
-      name.url.prefix " " *
-      "\url{" * url * "}" *
-      punct.no 'this.status.punct :=
-      punct.period 'prev.status.punct :=
-      space.normal 'this.status.space :=
-      space.normal 'prev.status.space :=
-      quote.no 'this.status.quote :=
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%
-%% ENTRY HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%
-
-
-% Note: In many journals, IEEE (or the authors) tend not to show the number
-% for articles, so the display of the number is controlled here by the
-% switch "is.use.number.for.article"
-FUNCTION {article}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.journal "journal" bibinfo.check "journal" output.warn
-  format.volume output
-  format.number.if.use.for.article output
-  format.pages output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {book}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  author empty$
-    { skip$ }
-    { format.editors output }
-  if$
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {booklet}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {electronic}
-{ std.status.using.period
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.date.electronic output
-  format.article.title.electronic output
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inbook}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {incollection}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle.edition "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.address.publisher.date.nowarn output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inproceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.paper output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {manual}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title.edition "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {mastersthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.master.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {misc}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.pages output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {patent}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.patent.nationality.type.number output
-  format.patent.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {periodical}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  format.organization "organization" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {phdthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.phd.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {proceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {standard}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization.institution.standard.type.number output
-  format.revision output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {techreport}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.institution "institution" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.tech.report.number output.nonnull
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {unpublished}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.date output
-  format.note "note" output.warn
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-
-% The special entry type which provides the user interface to the
-% BST controls
-FUNCTION {IEEEtranBSTCTL}
-{ is.print.banners.to.terminal
-    { "** IEEEtran BST control entry " quote$ * cite$ * quote$ * " detected." *
-      top$
-    }
-    { skip$ }
-  if$
-  CTLuse_article_number
-  empty$
-    { skip$ }
-    { CTLuse_article_number
-      yes.no.to.int
-      'is.use.number.for.article :=
-    }
-  if$
-  CTLuse_paper
-  empty$
-    { skip$ }
-    { CTLuse_paper
-      yes.no.to.int
-      'is.use.paper :=
-    }
-  if$
-  CTLuse_forced_etal
-  empty$
-    { skip$ }
-    { CTLuse_forced_etal
-      yes.no.to.int
-      'is.forced.et.al :=
-    }
-  if$
-  CTLmax_names_forced_etal
-  empty$
-    { skip$ }
-    { CTLmax_names_forced_etal
-      string.to.integer
-      'max.num.names.before.forced.et.al :=
-    }
-  if$
-  CTLnames_show_etal
-  empty$
-    { skip$ }
-    { CTLnames_show_etal
-      string.to.integer
-      'num.names.shown.with.forced.et.al :=
-    }
-  if$
-  CTLuse_alt_spacing
-  empty$
-    { skip$ }
-    { CTLuse_alt_spacing
-      yes.no.to.int
-      'is.use.alt.interword.spacing :=
-    }
-  if$
-  CTLalt_stretch_factor
-  empty$
-    { skip$ }
-    { CTLalt_stretch_factor
-      'ALTinterwordstretchfactor :=
-      "\renewcommand{\BIBentryALTinterwordstretchfactor}{"
-      ALTinterwordstretchfactor * "}" *
-      write$ newline$
-    }
-  if$
-  CTLdash_repeated_names
-  empty$
-    { skip$ }
-    { CTLdash_repeated_names
-      yes.no.to.int
-      'is.dash.repeated.names :=
-    }
-  if$
-  CTLname_format_string
-  empty$
-    { skip$ }
-    { CTLname_format_string
-      'name.format.string :=
-    }
-  if$
-  CTLname_latex_cmd
-  empty$
-    { skip$ }
-    { CTLname_latex_cmd
-      'name.latex.cmd :=
-    }
-  if$
-  CTLname_url_prefix
-  missing$
-    { skip$ }
-    { CTLname_url_prefix
-      'name.url.prefix :=
-    }
-  if$
-
-
-  num.names.shown.with.forced.et.al max.num.names.before.forced.et.al >
-    { "CTLnames_show_etal cannot be greater than CTLmax_names_forced_etal in " cite$ * warning$ 
-      max.num.names.before.forced.et.al 'num.names.shown.with.forced.et.al :=
-    }
-    { skip$ }
-  if$
-}
-
-
-%%%%%%%%%%%%%%%%%%%
-%% ENTRY ALIASES %%
-%%%%%%%%%%%%%%%%%%%
-FUNCTION {conference}{inproceedings}
-FUNCTION {online}{electronic}
-FUNCTION {internet}{electronic}
-FUNCTION {webpage}{electronic}
-FUNCTION {www}{electronic}
-FUNCTION {default.type}{misc}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% MAIN PROGRAM %%
-%%%%%%%%%%%%%%%%%%
-
-READ
-
-EXECUTE {initialize.controls}
-EXECUTE {initialize.status.constants}
-EXECUTE {banner.message}
-
-EXECUTE {initialize.longest.label}
-ITERATE {longest.label.pass}
-
-EXECUTE {begin.bib}
-ITERATE {call.type$}
-EXECUTE {end.bib}
-
-EXECUTE{completed.message}
-
-
-%% That's all folks, mds.
diff --git a/mpi-energy2-extension/IEEEtran/IEEEtran.cls b/mpi-energy2-extension/IEEEtran/IEEEtran.cls
deleted file mode 100644
index f3a8b5b..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEtran.cls
+++ /dev/null
@@ -1,4733 +0,0 @@
-%%
-%% IEEEtran.cls 2011/11/03 version V1.8 based on
-%% IEEEtran.cls 2007/03/05 version V1.7a
-%% The changes in V1.8 are made with a single goal in mind:
-%% to change the look of the output using the [conference] option
-%% and the default font size (10pt) to match the Word template more closely.
-%% These changes may well have undesired side effects when other options
-%% are in force!
-%% 
-%% 
-%% This is the official IEEE LaTeX class for authors of the Institute of 
-%% Electrical and Electronics Engineers (IEEE) Transactions journals and
-%% conferences.
-%% 
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-%%
-%% Based on the original 1993 IEEEtran.cls, but with many bug fixes
-%% and enhancements (from both JVH and MDS) over the 1996/7 version.
-%%
-%%
-%% Contributors:
-%% Gerry Murray (1993), Silvano Balemi (1993),
-%% Jon Dixon (1996), Peter N"uchter (1996),
-%% Juergen von Hagen (2000), and Michael Shell (2001-2007)
-%% 
-%% 
-%% Copyright (c) 1993-2000 by Gerry Murray, Silvano Balemi, 
-%%                         Jon Dixon, Peter N"uchter,
-%%                         Juergen von Hagen
-%%                         and
-%% Copyright (c) 2001-2007 by Michael Shell
-%%
-%% Current maintainer (V1.3 to V1.7): Michael Shell
-%%                                    See:
-%%                                    http://www.michaelshell.org/
-%%                                    for current contact information.
-%%
-%% Special thanks to Peter Wilson (CUA) and Donald Arseneau
-%% for allowing the inclusion of the \@ifmtarg command 
-%% from their ifmtarg LaTeX package. 
-%% 
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%% 
-%% Major changes to the user interface should be indicated by an 
-%% increase in the version numbers. If a version is a beta, it will 
-%% be indicated with a BETA suffix, i.e., 1.4 BETA.
-%% Small changes can be indicated by appending letters to the version
-%% such as "IEEEtran_v14a.cls".
-%% In all cases, \Providesclass, any \typeout messages to the user,
-%% \IEEEtransversionmajor and \IEEEtransversionminor must reflect the
-%% correct version information.
-%% The changes should also be documented via source comments.
-%%*************************************************************************
-%%
-%
-% Available class options 
-% e.g., \documentclass[10pt,conference]{IEEEtran} 
-% 
-%             *** choose only one from each category ***
-%
-% 9pt, 10pt, 11pt, 12pt
-%    Sets normal font size. The default is 10pt.
-% 
-% conference, journal, technote, peerreview, peerreviewca
-%    determines format mode - conference papers, journal papers,
-%    correspondence papers (technotes), or peer review papers. The user
-%    should also select 9pt when using technote. peerreview is like
-%    journal mode, but provides for a single-column "cover" title page for
-%    anonymous peer review. The paper title (without the author names) is
-%    repeated at the top of the page after the cover page. For peer review
-%    papers, the \IEEEpeerreviewmaketitle command must be executed (will
-%    automatically be ignored for non-peerreview modes) at the place the
-%    cover page is to end, usually just after the abstract (keywords are
-%    not normally used with peer review papers). peerreviewca is like
-%    peerreview, but allows the author names to be entered and formatted
-%    as with conference mode so that author affiliation and contact
-%    information can be easily seen on the cover page.
-%    The default is journal.
-%
-% draft, draftcls, draftclsnofoot, final
-%    determines if paper is formatted as a widely spaced draft (for
-%    handwritten editor comments) or as a properly typeset final version.
-%    draftcls restricts draft mode to the class file while all other LaTeX
-%    packages (i.e., \usepackage{graphicx}) will behave as final - allows
-%    for a draft paper with visible figures, etc. draftclsnofoot is like
-%    draftcls, but does not display the date and the word "DRAFT" at the foot
-%    of the pages. If using one of the draft modes, the user will probably
-%    also want to select onecolumn.
-%    The default is final.
-%
-% letterpaper, a4paper
-%    determines paper size: 8.5in X 11in or 210mm X 297mm. CHANGING THE PAPER
-%    SIZE WILL NOT ALTER THE TYPESETTING OF THE DOCUMENT - ONLY THE MARGINS
-%    WILL BE AFFECTED. In particular, documents using the a4paper option will
-%    have reduced side margins (A4 is narrower than US letter) and a longer
-%    bottom margin (A4 is longer than US letter). For both cases, the top
-%    margins will be the same and the text will be horizontally centered. 
-%    For final submission to IEEE, authors should use US letter (8.5 X 11in)
-%    paper. Note that authors should ensure that all post-processing 
-%    (ps, pdf, etc.) uses the same paper specificiation as the .tex document.
-%    Problems here are by far the number one reason for incorrect margins.
-%    IEEEtran will automatically set the default paper size under pdflatex 
-%    (without requiring a change to pdftex.cfg), so this issue is more
-%    important to dvips users. Fix config.ps, config.pdf, or ~/.dvipsrc for
-%    dvips, or use the dvips -t papersize option instead as needed. See the
-%    testflow documentation
-%    http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/testflow
-%    for more details on dvips paper size configuration.
-%    The default is letterpaper.
-%
-% oneside, twoside
-%    determines if layout follows single sided or two sided (duplex)
-%    printing. The only notable change is with the headings at the top of
-%    the pages.
-%    The default is oneside.
-%
-% onecolumn, twocolumn
-%    determines if text is organized into one or two columns per page. One
-%    column mode is usually used only with draft papers.
-%    The default is twocolumn.
-%
-% compsoc
-%    Use the format of the IEEE Computer Society.
-%
-% romanappendices
-%    Use the "Appendix I" convention when numbering appendices. IEEEtran.cls
-%    now defaults to Alpha "Appendix A" convention - the opposite of what
-%    v1.6b and earlier did.
-%
-% captionsoff
-%    disables the display of the figure/table captions. Some IEEE journals
-%    request that captions be removed and figures/tables be put on pages
-%    of their own at the end of an initial paper submission. The endfloat
-%    package can be used with this class option to achieve this format.
-%
-% nofonttune
-%    turns off tuning of the font interword spacing. Maybe useful to those
-%    not using the standard Times fonts or for those who have already "tuned"
-%    their fonts.
-%    The default is to enable IEEEtran to tune font parameters.
-%
-%
-%----------
-% Available CLASSINPUTs provided (all are macros unless otherwise noted):
-% \CLASSINPUTbaselinestretch
-% \CLASSINPUTinnersidemargin
-% \CLASSINPUToutersidemargin
-% \CLASSINPUTtoptextmargin
-% \CLASSINPUTbottomtextmargin
-%
-% Available CLASSINFOs provided:
-% \ifCLASSINFOpdf                       (TeX if conditional)
-% \CLASSINFOpaperwidth                  (macro)
-% \CLASSINFOpaperheight                 (macro)
-% \CLASSINFOnormalsizebaselineskip      (length)
-% \CLASSINFOnormalsizeunitybaselineskip (length)
-%
-% Available CLASSOPTIONs provided:
-% all class option flags (TeX if conditionals) unless otherwise noted,
-% e.g., \ifCLASSOPTIONcaptionsoff
-% point size options provided as a single macro:
-% \CLASSOPTIONpt
-% which will be defined as 9, 10, 11, or 12 depending on the document's
-% normalsize point size.
-% also, class option peerreviewca implies the use of class option peerreview
-% and classoption draft implies the use of class option draftcls
-
-
-
-
-
-\ProvidesClass{IEEEtran}[2012/11/21 V1.8c by Harald Hanche-Olsen and Anders Christensen]
-\typeout{-- Based on V1.7a by Michael Shell}
-\typeout{-- See the "IEEEtran_HOWTO" manual for usage information.}
-\typeout{-- http://www.michaelshell.org/tex/ieeetran/}
-\NeedsTeXFormat{LaTeX2e}
-
-% IEEEtran.cls version numbers, provided as of V1.3
-% These values serve as a way a .tex file can
-% determine if the new features are provided.
-% The version number of this IEEEtrans.cls can be obtained from 
-% these values. i.e., V1.4
-% KEEP THESE AS INTEGERS! i.e., NO {4a} or anything like that-
-% (no need to enumerate "a" minor changes here)
-\def\IEEEtransversionmajor{1}
-\def\IEEEtransversionminor{7}
-
-% These do nothing, but provide them like in article.cls
-\newif\if@restonecol
-\newif\if@titlepage
-
-
-% class option conditionals
-\newif\ifCLASSOPTIONonecolumn       \CLASSOPTIONonecolumnfalse
-\newif\ifCLASSOPTIONtwocolumn       \CLASSOPTIONtwocolumntrue
-
-\newif\ifCLASSOPTIONoneside         \CLASSOPTIONonesidetrue
-\newif\ifCLASSOPTIONtwoside         \CLASSOPTIONtwosidefalse
-
-\newif\ifCLASSOPTIONfinal           \CLASSOPTIONfinaltrue
-\newif\ifCLASSOPTIONdraft           \CLASSOPTIONdraftfalse
-\newif\ifCLASSOPTIONdraftcls        \CLASSOPTIONdraftclsfalse
-\newif\ifCLASSOPTIONdraftclsnofoot  \CLASSOPTIONdraftclsnofootfalse
-
-\newif\ifCLASSOPTIONpeerreview      \CLASSOPTIONpeerreviewfalse
-\newif\ifCLASSOPTIONpeerreviewca    \CLASSOPTIONpeerreviewcafalse
-
-\newif\ifCLASSOPTIONjournal         \CLASSOPTIONjournaltrue
-\newif\ifCLASSOPTIONconference      \CLASSOPTIONconferencefalse
-\newif\ifCLASSOPTIONtechnote        \CLASSOPTIONtechnotefalse
-
-\newif\ifCLASSOPTIONnofonttune      \CLASSOPTIONnofonttunefalse
-
-\newif\ifCLASSOPTIONcaptionsoff     \CLASSOPTIONcaptionsofffalse
-
-\newif\ifCLASSOPTIONcompsoc         \CLASSOPTIONcompsocfalse
-
-\newif\ifCLASSOPTIONromanappendices \CLASSOPTIONromanappendicesfalse
-
-
-% class info conditionals
-
-% indicates if pdf (via pdflatex) output
-\newif\ifCLASSINFOpdf               \CLASSINFOpdffalse
-
-
-% V1.6b internal flag to show if using a4paper
-\newif\if@IEEEusingAfourpaper       \@IEEEusingAfourpaperfalse
-
-
-
-% IEEEtran class scratch pad registers
-% dimen
-\newdimen\@IEEEtrantmpdimenA
-\newdimen\@IEEEtrantmpdimenB
-% count
-\newcount\@IEEEtrantmpcountA
-\newcount\@IEEEtrantmpcountB
-% token list
-\newtoks\@IEEEtrantmptoksA
-
-% we use \CLASSOPTIONpt so that we can ID the point size (even for 9pt docs)
-% as well as LaTeX's \@ptsize to retain some compatability with some
-% external packages
-\def\@ptsize{0}
-% LaTeX does not support 9pt, so we set \@ptsize to 0 - same as that of 10pt
-\DeclareOption{9pt}{\def\CLASSOPTIONpt{9}\def\@ptsize{0}}
-\DeclareOption{10pt}{\def\CLASSOPTIONpt{10}\def\@ptsize{0}}
-\DeclareOption{11pt}{\def\CLASSOPTIONpt{11}\def\@ptsize{1}}
-\DeclareOption{12pt}{\def\CLASSOPTIONpt{12}\def\@ptsize{2}}
-
-
-
-\DeclareOption{letterpaper}{\setlength{\paperheight}{11in}%
-                            \setlength{\paperwidth}{8.5in}%
-                            \@IEEEusingAfourpaperfalse
-                            \def\CLASSOPTIONpaper{letter}%
-                            \def\CLASSINFOpaperwidth{8.5in}%
-                            \def\CLASSINFOpaperheight{11in}}
-
-
-\DeclareOption{a4paper}{\setlength{\paperheight}{297mm}%
-                        \setlength{\paperwidth}{210mm}%
-                        \@IEEEusingAfourpapertrue
-                        \def\CLASSOPTIONpaper{a4}%
-                        \def\CLASSINFOpaperwidth{210mm}%
-                        \def\CLASSINFOpaperheight{297mm}}
-
-\DeclareOption{oneside}{\@twosidefalse\@mparswitchfalse
-                        \CLASSOPTIONonesidetrue\CLASSOPTIONtwosidefalse}
-\DeclareOption{twoside}{\@twosidetrue\@mparswitchtrue
-                        \CLASSOPTIONtwosidetrue\CLASSOPTIONonesidefalse}
-
-\DeclareOption{onecolumn}{\CLASSOPTIONonecolumntrue\CLASSOPTIONtwocolumnfalse}
-\DeclareOption{twocolumn}{\CLASSOPTIONtwocolumntrue\CLASSOPTIONonecolumnfalse}
-
-% If the user selects draft, then this class AND any packages
-% will go into draft mode.
-\DeclareOption{draft}{\CLASSOPTIONdrafttrue\CLASSOPTIONdraftclstrue
-                      \CLASSOPTIONdraftclsnofootfalse} 
-% draftcls is for a draft mode which will not affect any packages
-% used by the document.
-\DeclareOption{draftcls}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue
-                         \CLASSOPTIONdraftclsnofootfalse} 
-% draftclsnofoot is like draftcls, but without the footer.
-\DeclareOption{draftclsnofoot}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue
-                               \CLASSOPTIONdraftclsnofoottrue} 
-\DeclareOption{final}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclsfalse
-                      \CLASSOPTIONdraftclsnofootfalse}
-
-\DeclareOption{journal}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                        \CLASSOPTIONjournaltrue\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{conference}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                           \CLASSOPTIONjournalfalse\CLASSOPTIONconferencetrue\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{technote}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse
-                         \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotetrue}
-
-\DeclareOption{peerreview}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcafalse
-                           \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{peerreviewca}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcatrue
-                             \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}
-
-\DeclareOption{nofonttune}{\CLASSOPTIONnofonttunetrue}
-
-\DeclareOption{captionsoff}{\CLASSOPTIONcaptionsofftrue}
-
-\DeclareOption{compsoc}{\CLASSOPTIONcompsoctrue}
-
-\DeclareOption{romanappendices}{\CLASSOPTIONromanappendicestrue}
-
-
-% default to US letter paper, 10pt, twocolumn, one sided, final, journal
-\ExecuteOptions{letterpaper,10pt,twocolumn,oneside,final,journal}
-% overrride these defaults per user requests
-\ProcessOptions
-
-
-
-% Computer Society conditional execution command
-\long\def\@IEEEcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\relax#1\relax\fi\relax}
-% inverse
-\long\def\@IEEEnotcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\else\relax#1\relax\fi\relax}
-% compsoc conference
-\long\def\@IEEEcompsocconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\relax#1\relax\fi\fi\relax}
-% compsoc not conference
-\long\def\@IEEEcompsocnotconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\else\relax#1\relax\fi\fi\relax}
-
-
-% IEEE uses Times Roman font, so we'll default to Times.
-% These three commands make up the entire times.sty package.
-\renewcommand{\sfdefault}{phv}
-\renewcommand{\rmdefault}{ptm}
-\renewcommand{\ttdefault}{pcr}
-
-\@IEEEcompsoconly{\typeout{-- Using IEEE Computer Society mode.}}
-
-% V1.7 compsoc nonconference papers, use Palatino/Palladio as the main text font,
-% not Times Roman.
-\@IEEEcompsocnotconfonly{\renewcommand{\rmdefault}{ppl}}
-
-% enable Times/Palatino main text font
-\normalfont\selectfont
-
-
-
-
-
-% V1.7 conference notice message hook
-\def\@IEEEconsolenoticeconference{\typeout{}%
-\typeout{** Conference Paper **}%
-\typeout{Before submitting the final camera ready copy, remember to:}%
-\typeout{}%
-\typeout{ 1. Manually equalize the lengths of two columns on the last page}%
-\typeout{ of your paper;}%
-\typeout{}%
-\typeout{ 2. Ensure that any PostScript and/or PDF output post-processing}%
-\typeout{ uses only Type 1 fonts and that every step in the generation}%
-\typeout{ process uses the appropriate paper size.}%
-\typeout{}}
-
-
-% we can send console reminder messages to the user here
-\AtEndDocument{\ifCLASSOPTIONconference\@IEEEconsolenoticeconference\fi}
-
-
-% warn about the use of single column other than for draft mode
-\ifCLASSOPTIONtwocolumn\else%
-  \ifCLASSOPTIONdraftcls\else%
-   \typeout{** ATTENTION: Single column mode is not typically used with IEEE publications.}%
-  \fi%
-\fi
-
-
-% V1.7 improved paper size setting code.
-% Set pdfpage and dvips paper sizes. Conditional tests are similar to that
-% of ifpdf.sty. Retain within {} to ensure tested macros are never altered,
-% even if only effect is to set them to \relax.
-% if \pdfoutput is undefined or equal to relax, output a dvips special
-{\@ifundefined{pdfoutput}{\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}}{%
-% pdfoutput is defined and not equal to \relax
-% check for pdfpageheight existence just in case someone sets pdfoutput
-% under non-pdflatex. If exists, set them regardless of value of \pdfoutput.
-\@ifundefined{pdfpageheight}{\relax}{\global\pdfpagewidth\paperwidth
-\global\pdfpageheight\paperheight}%
-% if using \pdfoutput=0 under pdflatex, send dvips papersize special
-\ifcase\pdfoutput
-\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}%
-\else
-% we are using pdf output, set CLASSINFOpdf flag
-\global\CLASSINFOpdftrue
-\fi}}
-
-% let the user know the selected papersize
-\typeout{-- Using \CLASSINFOpaperwidth\space x \CLASSINFOpaperheight\space
-(\CLASSOPTIONpaper)\space paper.}
-
-\ifCLASSINFOpdf
-\typeout{-- Using PDF output.}
-\else
-\typeout{-- Using DVI output.}
-\fi
-
-
-% The idea hinted here is for LaTeX to generate markleft{} and markright{}
-% automatically for you after you enter \author{}, \journal{},
-% \journaldate{}, journalvol{}, \journalnum{}, etc.
-% However, there may be some backward compatibility issues here as
-% well as some special applications for IEEEtran.cls and special issues
-% that may require the flexible \markleft{}, \markright{} and/or \markboth{}.
-% We'll leave this as an open future suggestion.
-%\newcommand{\journal}[1]{\def\@journal{#1}}
-%\def\@journal{}
-
-
-
-% pointsize values
-% used with ifx to determine the document's normal size
-\def\@IEEEptsizenine{9}
-\def\@IEEEptsizeten{10}
-\def\@IEEEptsizeeleven{11}
-\def\@IEEEptsizetwelve{12}
-
-
-
-% FONT DEFINITIONS (No sizexx.clo file needed) 
-% V1.6 revised font sizes, displayskip values and
-%      revised normalsize baselineskip to reduce underfull vbox problems
-%      on the 58pc = 696pt = 9.5in text height we want
-%      normalsize     #lines/column  baselineskip (aka leading)
-%             9pt     63             11.0476pt (truncated down)
-%            10pt     58             12pt      (exact)
-%            11pt     52             13.3846pt (truncated down)
-%            12pt     50             13.92pt   (exact)
-%
-
-% we need to store the nominal baselineskip for the given font size
-% in case baselinestretch ever changes.
-% this is a dimen, so it will not hold stretch or shrink
-\newdimen\@IEEEnormalsizeunitybaselineskip
-\@IEEEnormalsizeunitybaselineskip\baselineskip
-
-\ifx\CLASSOPTIONpt\@IEEEptsizenine
-\typeout{-- This is a 9 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{9}{11.0476pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{11.0476pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus3pt minus1pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus3pt%
-\belowdisplayshortskip 1.5ex plus3pt minus1pt
-\def\small{\@setfontsize{\small}{8.5}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is the same as large - 10pt
-\def\sublargesize{\@setfontsize{\sublargesize}{10}{12pt}}
-\def\large{\@setfontsize{\large}{10}{12pt}}
-\def\Large{\@setfontsize{\Large}{12}{14pt}}
-\def\LARGE{\@setfontsize{\LARGE}{14}{17pt}}
-\def\huge{\@setfontsize{\huge}{17}{20pt}}
-\def\Huge{\@setfontsize{\Huge}{20}{24pt}}
-\fi
-
-
-% Check if we have selected 10 points
-\ifx\CLASSOPTIONpt\@IEEEptsizeten
-\typeout{-- This is a 10 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{10}{11}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{11pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus4pt minus2pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus4pt%
-\belowdisplayshortskip 1.5ex plus4pt minus2pt
-\def\small{\@setfontsize{\small}{9}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is a tad smaller than large - 11pt
-\def\sublargesize{\@setfontsize{\sublargesize}{11}{13.4pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 11 points
-\ifx\CLASSOPTIONpt\@IEEEptsizeeleven
-\typeout{-- This is an 11 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{11}{13.3846pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{13.3846pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus5pt minus3pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus5pt%
-\belowdisplayshortskip 1.5ex plus5pt minus3pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 12pt
-\def\sublargesize{\@setfontsize{\sublargesize}{12}{14pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 12 points
-\ifx\CLASSOPTIONpt\@IEEEptsizetwelve
-\typeout{-- This is a 12 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{12}{13.92pt}}%
-\setlength{\@IEEEnormalsizeunitybaselineskip}{13.92pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus6pt minus4pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus6pt%
-\belowdisplayshortskip 1.5ex plus6pt minus4pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 14pt
-\def\sublargesize{\@setfontsize{\sublargesize}{14}{17pt}}
-\def\large{\@setfontsize{\large}{14}{17pt}}
-\def\Large{\@setfontsize{\Large}{17}{20pt}}
-\def\LARGE{\@setfontsize{\LARGE}{20}{24pt}}
-\def\huge{\@setfontsize{\huge}{22}{26pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% V1.6 The Computer Modern Fonts will issue a substitution warning for
-% 24pt titles (24.88pt is used instead) increase the substitution
-% tolerance to turn off this warning
-\def\fontsubfuzz{.9pt}
-% However, the default (and correct) Times font will scale exactly as needed.
-
-
-% warn the user in case they forget to use the 9pt option with
-% technote
-\ifCLASSOPTIONtechnote%
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\else%
-  \typeout{** ATTENTION: Technotes are normally 9pt documents.}%
- \fi%
-\fi
-
-
-% V1.7
-% Improved \textunderscore to provide a much better fake _ when used with
-% OT1 encoding. Under OT1, detect use of pcr or cmtt \ttfamily and use
-% available true _ glyph for those two typewriter fonts.
-\def\@IEEEstringptm{ptm} % Times Roman family
-\def\@IEEEstringppl{ppl} % Palatino Roman family
-\def\@IEEEstringphv{phv} % Helvetica Sans Serif family
-\def\@IEEEstringpcr{pcr} % Courier typewriter family
-\def\@IEEEstringcmtt{cmtt} % Computer Modern typewriter family
-\DeclareTextCommandDefault{\textunderscore}{\leavevmode
-\ifx\f@family\@IEEEstringpcr\string_\else
-\ifx\f@family\@IEEEstringcmtt\string_\else
-\ifx\f@family\@IEEEstringptm\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else
-\ifx\f@family\@IEEEstringppl\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else
-\ifx\f@family\@IEEEstringphv\kern -0.03em\vbox{\hrule\@width 0.62em\@height 0.52pt\kern -0.33ex}\kern -0.03em\else
-\kern 0.09em\vbox{\hrule\@width 0.6em\@height 0.44pt\kern -0.63pt\kern -0.42ex}\kern 0.09em\fi\fi\fi\fi\fi\relax}
-
-
-
-
-% set the default \baselinestretch
-\def\baselinestretch{1}
-\ifCLASSOPTIONdraftcls
-  \def\baselinestretch{1.5}% default baselinestretch for draft modes
-\fi 
-
-
-% process CLASSINPUT baselinestretch
-\ifx\CLASSINPUTbaselinestretch\@IEEEundefined
-\else
-  \edef\baselinestretch{\CLASSINPUTbaselinestretch} % user CLASSINPUT override
-  \typeout{** ATTENTION: Overriding \string\baselinestretch\space to
-           \baselinestretch\space via \string\CLASSINPUT.}
-\fi
-
-\normalsize % make \baselinestretch take affect
-
-
-
-
-% store the normalsize baselineskip
-\newdimen\CLASSINFOnormalsizebaselineskip
-\CLASSINFOnormalsizebaselineskip=\baselineskip\relax
-% and the normalsize unity (baselinestretch=1) baselineskip
-% we could save a register by giving the user access to
-% \@IEEEnormalsizeunitybaselineskip. However, let's protect
-% its read only internal status
-\newdimen\CLASSINFOnormalsizeunitybaselineskip
-\CLASSINFOnormalsizeunitybaselineskip=\@IEEEnormalsizeunitybaselineskip\relax
-% store the nominal value of jot
-\newdimen\IEEEnormaljot
-\IEEEnormaljot=0.25\baselineskip\relax
-
-% set \jot
-\jot=\IEEEnormaljot\relax
-
-
-
-
-% V1.6, we are now going to fine tune the interword spacing
-% The default interword glue for Times under TeX appears to use a
-% nominal interword spacing of 25% (relative to the font size, i.e., 1em)
-% a maximum of 40% and a minimum of 19%.
-% For example, 10pt text uses an interword glue of:
-% 
-% 2.5pt plus 1.49998pt minus 0.59998pt
-% 
-% However, IEEE allows for a more generous range which reduces the need
-% for hyphenation, especially for two column text. Furthermore, IEEE
-% tends to use a little bit more nominal space between the words.
-% IEEE's interword spacing percentages appear to be:
-% 35% nominal
-% 23% minimum
-% 50% maximum
-% (They may even be using a tad more for the largest fonts such as 24pt.)
-% 
-% for bold text, IEEE increases the spacing a little more:
-% 37.5% nominal
-% 23% minimum
-% 55% maximum
-
-% here are the interword spacing ratios we'll use
-% for medium (normal weight)
-\def\@IEEEinterspaceratioM{0.35}
-\def\@IEEEinterspaceMINratioM{0.23}
-\def\@IEEEinterspaceMAXratioM{0.50}
-
-% for bold
-\def\@IEEEinterspaceratioB{0.375}
-\def\@IEEEinterspaceMINratioB{0.23}
-\def\@IEEEinterspaceMAXratioB{0.55}
-
-
-% command to revise the interword spacing for the current font under TeX:
-% \fontdimen2 = nominal interword space
-% \fontdimen3 = interword stretch
-% \fontdimen4 = interword shrink
-% since all changes to the \fontdimen are global, we can enclose these commands
-% in braces to confine any font attribute or length changes
-\def\@@@IEEEsetfontdimens#1#2#3{{%
-\setlength{\@IEEEtrantmpdimenB}{\f@size pt}% grab the font size in pt, could use 1em instead.
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\fontdimen2\font=\@IEEEtrantmpdimenA\relax
-\addtolength{\@IEEEtrantmpdimenA}{-#2\@IEEEtrantmpdimenB}%
-\fontdimen3\font=-\@IEEEtrantmpdimenA\relax
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\addtolength{\@IEEEtrantmpdimenA}{-#3\@IEEEtrantmpdimenB}%
-\fontdimen4\font=\@IEEEtrantmpdimenA\relax}}
-
-% revise the interword spacing for each font weight
-\def\@@IEEEsetfontdimens{{%
-\mdseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioM}{\@IEEEinterspaceMAXratioM}{\@IEEEinterspaceMINratioM}%
-\bfseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioB}{\@IEEEinterspaceMAXratioB}{\@IEEEinterspaceMINratioB}%
-}}
-
-% revise the interword spacing for each font shape
-% \slshape is not often used for IEEE work and is not altered here. The \scshape caps are
-% already a tad too large in the free LaTeX fonts (as compared to what IEEE uses) so we
-% won't alter these either.
-\def\@IEEEsetfontdimens{{%
-\normalfont
-\@@IEEEsetfontdimens
-\normalfont\itshape
-\@@IEEEsetfontdimens
-}}
-
-% command to revise the interword spacing for each font size (and shape
-% and weight). Only the \rmfamily is done here as \ttfamily uses a 
-% fixed spacing and \sffamily is not used as the main text of IEEE papers.
-\def\@IEEEtunefonts{{\selectfont\rmfamily
-\tiny\@IEEEsetfontdimens
-\scriptsize\@IEEEsetfontdimens
-\footnotesize\@IEEEsetfontdimens
-\small\@IEEEsetfontdimens
-\normalsize\@IEEEsetfontdimens
-\sublargesize\@IEEEsetfontdimens
-\large\@IEEEsetfontdimens
-\LARGE\@IEEEsetfontdimens
-\huge\@IEEEsetfontdimens
-\Huge\@IEEEsetfontdimens}}
-
-% if the nofonttune class option is not given, revise the interword spacing
-% now - in case IEEEtran makes any default length measurements, and make
-% sure all the default fonts are loaded
-\ifCLASSOPTIONnofonttune\else
-\@IEEEtunefonts
-\fi
-
-% and again at the start of the document in case the user loaded different fonts
-\AtBeginDocument{\ifCLASSOPTIONnofonttune\else\@IEEEtunefonts\fi}
-
-
-
-% V1.6 
-% LaTeX is a little to quick to use hyphenations
-% So, we increase the penalty for their use and raise
-% the badness level that triggers an underfull hbox
-% warning. The author may still have to tweak things,
-% but the appearance will be much better "right out
-% of the box" than that under V1.5 and prior.
-% TeX default is 50
-\hyphenpenalty=750
-% If we didn't adjust the interword spacing, 2200 might be better.
-% The TeX default is 1000
-\hbadness=1350
-% IEEE does not use extra spacing after punctuation
-\frenchspacing
-
-% V1.7 increase this a tad to discourage equation breaks
-\binoppenalty=1000 % default 700
-\relpenalty=800     % default 500
-
-
-% margin note stuff
-\marginparsep      10pt
-\marginparwidth    20pt
-\marginparpush     25pt
-
-
-% if things get too close, go ahead and let them touch
-\lineskip            0pt
-\normallineskip      0pt
-\lineskiplimit       0pt
-\normallineskiplimit 0pt
-
-% The distance from the lower edge of the text body to the
-% footline
-\footskip 0.4in
-
-% normally zero, should be relative to font height.
-% put in a little rubber to help stop some bad breaks (underfull vboxes)
-\parskip 0ex plus 0.2ex minus 0.1ex
-\ifCLASSOPTIONconference
-\parskip 6pt plus 2pt minus 1pt
-\fi
-
-\parindent    1.0em
-\ifCLASSOPTIONconference
-\parindent 14.45pt
-\fi
-
-\topmargin    -49.0pt
-\headheight   12pt
-\headsep      0.25in
-
-% use the normal font baselineskip
-% so that \topskip is unaffected by changes in \baselinestretch
-\topskip=\@IEEEnormalsizeunitybaselineskip
-\textheight       58pc  % 9.63in, 696pt
-% Tweak textheight to a perfect integer number of lines/page.
-% The normal baselineskip for each document point size is used 
-% to determine these values.
-\ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=63\@IEEEnormalsizeunitybaselineskip\fi      % 63 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=58\@IEEEnormalsizeunitybaselineskip\fi       % 58 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=52\@IEEEnormalsizeunitybaselineskip\fi    % 52 lines/page
-\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=50\@IEEEnormalsizeunitybaselineskip\fi    % 50 lines/page
-
-
-\columnsep       1.5pc
-\textwidth       184.2mm
- 
-
-% the default side margins are equal
-\if@IEEEusingAfourpaper 
-\oddsidemargin        14.32mm
-\evensidemargin       14.32mm
-\else
-\oddsidemargin        0.680in
-\evensidemargin       0.680in
-\fi
-% compensate for LaTeX's 1in offset
-\addtolength{\oddsidemargin}{-1in}
-\addtolength{\evensidemargin}{-1in}
-
-
-
-% adjust margins for conference mode
-\ifCLASSOPTIONconference
- \topmargin        -0.25in
- % we retain the reserved, but unused space for headers
- \addtolength{\topmargin}{-\headheight}
- \addtolength{\topmargin}{-\headsep}
- \textheight        9.25in % The standard for conferences (668.4975pt)
- % Tweak textheight to a perfect integer number of lines/page.
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=61\@IEEEnormalsizeunitybaselineskip\fi      % 61 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=62\@IEEEnormalsizeunitybaselineskip\fi       % 62 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=50\@IEEEnormalsizeunitybaselineskip\fi    % 50 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=48\@IEEEnormalsizeunitybaselineskip\fi    % 48 lines/page
-\fi
-
-
-% compsoc conference
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
- % compsoc conference use a larger value for columnsep
- \columnsep 0.375in
- % compsoc conferences want 1in top margin, 1.125in bottom margin
- \topmargin        0in
- \addtolength{\topmargin}{-6pt}% we tweak this a tad to better comply with top of line stuff
- % we retain the reserved, but unused space for headers
- \addtolength{\topmargin}{-\headheight}
- \addtolength{\topmargin}{-\headsep}
- \textheight        8.875in % (641.39625pt)
- % Tweak textheight to a perfect integer number of lines/page.
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=58\@IEEEnormalsizeunitybaselineskip\fi      % 58 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=53\@IEEEnormalsizeunitybaselineskip\fi       % 53 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=48\@IEEEnormalsizeunitybaselineskip\fi    % 48 lines/page
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=46\@IEEEnormalsizeunitybaselineskip\fi    % 46 lines/page 
- \textwidth 6.5in
- % the default side margins are equal
- \if@IEEEusingAfourpaper 
-  \oddsidemargin        22.45mm
-  \evensidemargin       22.45mm
- \else
-  \oddsidemargin        1in
-  \evensidemargin       1in
- \fi
- % compensate for LaTeX's 1in offset
- \addtolength{\oddsidemargin}{-1in}
- \addtolength{\evensidemargin}{-1in}
-\fi\fi
-
-
-
-% draft mode settings override that of all other modes
-% provides a nice 1in margin all around the paper and extra
-% space between the lines for editor's comments
-\ifCLASSOPTIONdraftcls 
-  % want 1in from top of paper to text
-  \setlength{\topmargin}{-\headsep}%
-  \addtolength{\topmargin}{-\headheight}%
-  % we want 1in side margins regardless of paper type
-  \oddsidemargin      0in
-  \evensidemargin     0in
-  % set the text width
-  \setlength{\textwidth}{\paperwidth}%
-  \addtolength{\textwidth}{-2.0in}%
-  \setlength{\textheight}{\paperheight}%
-  \addtolength{\textheight}{-2.0in}%
-  % digitize textheight to be an integer number of lines.
-  % this may cause the bottom margin to be off a tad
-  \addtolength{\textheight}{-1\topskip}%
-  \divide\textheight  by \baselineskip%
-  \multiply\textheight  by \baselineskip%
-  \addtolength{\textheight}{\topskip}%
-\fi
-
-
-
-% process CLASSINPUT inner/outer margin
-% if inner margin defined, but outer margin not, set outer to inner.
-\ifx\CLASSINPUTinnersidemargin\@IEEEundefined
-\else
-  \ifx\CLASSINPUToutersidemargin\@IEEEundefined
-    \edef\CLASSINPUToutersidemargin{\CLASSINPUTinnersidemargin}
-  \fi
-\fi
-
-\ifx\CLASSINPUToutersidemargin\@IEEEundefined
-\else
-  % if outer margin defined, but inner margin not, set inner to outer.
-  \ifx\CLASSINPUTinnersidemargin\@IEEEundefined
-    \edef\CLASSINPUTinnersidemargin{\CLASSINPUToutersidemargin}
-  \fi
-  \setlength{\oddsidemargin}{\CLASSINPUTinnersidemargin}
-  \ifCLASSOPTIONtwoside
-    \setlength{\evensidemargin}{\CLASSINPUToutersidemargin}
-  \else
-    \setlength{\evensidemargin}{\CLASSINPUTinnersidemargin}
-  \fi
-  \addtolength{\oddsidemargin}{-1in}
-  \addtolength{\evensidemargin}{-1in}
-  \setlength{\textwidth}{\paperwidth}
-  \addtolength{\textwidth}{-\CLASSINPUTinnersidemargin}
-  \addtolength{\textwidth}{-\CLASSINPUToutersidemargin}
-  \typeout{** ATTENTION: Overriding inner side margin to \CLASSINPUTinnersidemargin\space and 
-           outer side margin to \CLASSINPUToutersidemargin\space via \string\CLASSINPUT.}
-\fi
-
-
-
-% process CLASSINPUT top/bottom text margin
-% if toptext margin defined, but bottomtext margin not, set bottomtext to toptext margin
-\ifx\CLASSINPUTtoptextmargin\@IEEEundefined
-\else
-  \ifx\CLASSINPUTbottomtextmargin\@IEEEundefined
-    \edef\CLASSINPUTbottomtextmargin{\CLASSINPUTtoptextmargin}
-  \fi
-\fi
-
-\ifx\CLASSINPUTbottomtextmargin\@IEEEundefined
-\else
-  % if bottomtext margin defined, but toptext margin not, set toptext to bottomtext margin
-  \ifx\CLASSINPUTtoptextmargin\@IEEEundefined
-    \edef\CLASSINPUTtoptextmargin{\CLASSINPUTbottomtextmargin}
-  \fi
-  \setlength{\topmargin}{\CLASSINPUTtoptextmargin}
-  \addtolength{\topmargin}{-1in}
-  \addtolength{\topmargin}{-\headheight}
-  \addtolength{\topmargin}{-\headsep}
-  \setlength{\textheight}{\paperheight}
-  \addtolength{\textheight}{-\CLASSINPUTtoptextmargin}
-  \addtolength{\textheight}{-\CLASSINPUTbottomtextmargin}
-  % in the default format we use the normal baselineskip as topskip
-  % we only need 0.7 of this to clear typical top text and we need
-  % an extra 0.3 spacing at the bottom for descenders. This will
-  % correct for both.
-  \addtolength{\topmargin}{-0.3\@IEEEnormalsizeunitybaselineskip}
-  \typeout{** ATTENTION: Overriding top text margin to \CLASSINPUTtoptextmargin\space and 
-           bottom text margin to \CLASSINPUTbottomtextmargin\space via \string\CLASSINPUT.}
-\fi
-
-
-
-
-
-
-
-% LIST SPACING CONTROLS
-
-% Controls the amount of EXTRA spacing
-% above and below \trivlist 
-% Both \list and IED lists override this.
-% However, \trivlist will use this as will most
-% things built from \trivlist like the \center
-% environment.
-\topsep           0.5\baselineskip
-
-% Controls the additional spacing around lists preceded
-% or followed by blank lines. IEEE does not increase
-% spacing before or after paragraphs so it is set to zero.
-% \z@ is the same as zero, but faster.
-\partopsep          \z@
-
-% Controls the spacing between paragraphs in lists. 
-% IEEE does not increase spacing before or after paragraphs
-% so this is also zero. 
-% With IEEEtran.cls, global changes to
-% this value DO affect lists (but not IED lists).
-\parsep             \z@
-
-% Controls the extra spacing between list items. 
-% IEEE does not put extra spacing between items.
-% With IEEEtran.cls, global changes to this value DO affect
-% lists (but not IED lists).
-\itemsep            \z@
-
-% \itemindent is the amount to indent the FIRST line of a list
-% item. It is auto set to zero within the \list environment. To alter
-% it, you have to do so when you call the \list.
-% However, IEEE uses this for the theorem environment
-% There is an alternative value for this near \leftmargini below
-\itemindent         -1em
-
-% \leftmargin, the spacing from the left margin of the main text to
-% the left of the main body of a list item is set by \list.
-% Hence this statement does nothing for lists.
-% But, quote and verse do use it for indention.
-\leftmargin         2em
-
-% we retain this stuff from the older IEEEtran.cls so that \list
-% will work the same way as before. However, itemize, enumerate and
-% description (IED) could care less about what these are as they
-% all are overridden.
-\leftmargini        2em
-%\itemindent         2em  % Alternative values: sometimes used.
-%\leftmargini        0em
-\leftmarginii       1em
-\leftmarginiii    1.5em
-\leftmarginiv     1.5em
-\leftmarginv      1.0em
-\leftmarginvi     1.0em
-\labelsep         0.5em 
-\labelwidth         \z@
-
-
-% The old IEEEtran.cls behavior of \list is retained.
-% However, the new V1.3 IED list environments override all the
-% @list stuff (\@listX is called within \list for the
-% appropriate level just before the user's list_decl is called). 
-% \topsep is now 2pt as IEEE puts a little extra space around
-% lists - used by those non-IED macros that depend on \list.
-% Note that \parsep and \itemsep are not redefined as in 
-% the sizexx.clo \@listX (which article.cls uses) so global changes
-% of these values DO affect \list
-% 
-\def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt}
-\let\@listI\@listi
-\def\@listii{\leftmargin\leftmarginii\labelwidth\leftmarginii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiv{\leftmargin\leftmarginiv\labelwidth\leftmarginiv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listv{\leftmargin\leftmarginv\labelwidth\leftmarginv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listvi{\leftmargin\leftmarginvi\labelwidth\leftmarginvi%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-
-
-% IEEE uses 5) not 5.
-\def\labelenumi{\theenumi)}     \def\theenumi{\arabic{enumi}}
-
-% IEEE uses a) not (a)
-\def\labelenumii{\theenumii)}  \def\theenumii{\alph{enumii}}
-
-% IEEE uses iii) not iii.
-\def\labelenumiii{\theenumiii)} \def\theenumiii{\roman{enumiii}}
-
-% IEEE uses A) not A.
-\def\labelenumiv{\theenumiv)}   \def\theenumiv{\Alph{enumiv}}
-
-% exactly the same as in article.cls
-\def\p@enumii{\theenumi}
-\def\p@enumiii{\theenumi(\theenumii)}
-\def\p@enumiv{\p@enumiii\theenumiii}
-
-% itemized list label styles
-\def\labelitemi{$\bullet$}
-\def\labelitemii{$\circ$}
-\def\labelitemiii{\vrule height 0.8ex depth -0.2ex width 0.6ex}
-\def\labelitemiv{$\ast$}
-
-
-
-% **** V1.3 ENHANCEMENTS ****
-% Itemize, Enumerate and Description (IED) List Controls
-% ***************************
-% 
-% 
-% IEEE seems to use at least two different values by
-% which ITEMIZED list labels are indented to the right
-% For The Journal of Lightwave Technology (JLT) and The Journal
-% on Selected Areas in Communications (JSAC), they tend to use
-% an indention equal to \parindent. For Transactions on Communications
-% they tend to indent ITEMIZED lists a little more--- 1.3\parindent.
-% We'll provide both values here for you so that you can choose 
-% which one you like in your document using a command such as:
-% setlength{\IEEEilabelindent}{\IEEEilabelindentB}
-\newdimen\IEEEilabelindentA
-\IEEEilabelindentA \parindent
-
-\newdimen\IEEEilabelindentB
-\IEEEilabelindentB 1.3\parindent
-% However, we'll default to using \parindent
-% which makes more sense to me
-\newdimen\IEEEilabelindent
-\IEEEilabelindent \IEEEilabelindentA
-
-
-% This controls the default amount the enumerated list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEelabelindent
-\IEEEelabelindent \parindent
-
-% This controls the default amount the description list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEdlabelindent
-\IEEEdlabelindent \parindent
-
-% This is the value actually used within the IED lists.
-% The IED environments automatically set its value to
-% one of the three values above, so global changes do 
-% not have any effect
-\newdimen\IEEElabelindent
-\IEEElabelindent \parindent
-
-% The actual amount labels will be indented is
-% \IEEElabelindent multiplied by the factor below
-% corresponding to the level of nesting depth
-% This provides a means by which the user can
-% alter the effective \IEEElabelindent for deeper
-% levels
-% There may not be such a thing as correct "standard IEEE"
-% values. What IEEE actually does may depend on the specific
-% circumstances.
-% The first list level almost always has full indention.
-% The second levels I've seen have only 75% of the normal indentation
-% Three level or greater nestings are very rare. I am guessing
-% that they don't use any indentation.
-\def\IEEElabelindentfactori{1.0}   % almost always one
-\def\IEEElabelindentfactorii{0.75} % 0.0 or 1.0 may be used in some cases
-\def\IEEElabelindentfactoriii{0.0} % 0.75? 0.5? 0.0?
-\def\IEEElabelindentfactoriv{0.0}
-\def\IEEElabelindentfactorv{0.0}
-\def\IEEElabelindentfactorvi{0.0}
-
-% value actually used within IED lists, it is auto
-% set to one of the 6 values above
-% global changes here have no effect
-\def\IEEElabelindentfactor{1.0}
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when normal text is used for
-% the labels.
-\newdimen\IEEEiednormlabelsep
-\IEEEiednormlabelsep \parindent
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when math symbols are used for
-% the labels (nomenclature lists). IEEE usually increases the 
-% spacing in these cases
-\newdimen\IEEEiedmathlabelsep
-\IEEEiedmathlabelsep 1.2em
-
-% This controls the extra vertical separation put above and
-% below each IED list. IEEE usually puts a little extra spacing
-% around each list. However, this spacing is barely noticeable.
-\newskip\IEEEiedtopsep
-\IEEEiedtopsep 2pt plus 1pt minus 1pt
-
-
-% This command is executed within each IED list environment
-% at the beginning of the list. You can use this to set the 
-% parameters for some/all your IED list(s) without disturbing 
-% global parameters that affect things other than lists.
-% i.e., renewcommand{\IEEEiedlistdecl}{\setlength{\labelsep}{5em}}
-% will alter the \labelsep for the next list(s) until 
-% \IEEEiedlistdecl is redefined. 
-\def\IEEEiedlistdecl{\relax}
-
-% This command provides an easy way to set \leftmargin based
-% on the \labelwidth, \labelsep and the argument \IEEElabelindent
-% Usage: \IEEEcalcleftmargin{width-to-indent-the-label}
-% output is in the \leftmargin variable, i.e., effectively:
-% \leftmargin = argument + \labelwidth + \labelsep
-% Note controlled spacing here, shield end of lines with %
-\def\IEEEcalcleftmargin#1{\setlength{\leftmargin}{#1}%
-\addtolength{\leftmargin}{\labelwidth}%
-\addtolength{\leftmargin}{\labelsep}}
-
-% This command provides an easy way to set \labelwidth to the
-% width of the given text. It is the same as
-% \settowidth{\labelwidth}{label-text}
-% and useful as a shorter alternative.
-% Typically used to set \labelwidth to be the width
-% of the longest label in the list
-\def\IEEEsetlabelwidth#1{\settowidth{\labelwidth}{#1}}
-
-% When this command is executed, IED lists will use the 
-% IEEEiedmathlabelsep label separation rather than the normal
-% spacing. To have an effect, this command must be executed via
-% the \IEEEiedlistdecl or within the option of the IED list
-% environments.
-\def\IEEEusemathlabelsep{\setlength{\labelsep}{\IEEEiedmathlabelsep}}
-
-% A flag which controls whether the IED lists automatically
-% calculate \leftmargin from \IEEElabelindent, \labelwidth and \labelsep
-% Useful if you want to specify your own \leftmargin
-% This flag must be set (\IEEEnocalcleftmargintrue or \IEEEnocalcleftmarginfalse) 
-% via the \IEEEiedlistdecl or within the option of the IED list
-% environments to have an effect.
-\newif\ifIEEEnocalcleftmargin
-\IEEEnocalcleftmarginfalse
-
-% A flag which controls whether \IEEElabelindent is multiplied by
-% the \IEEElabelindentfactor for each list level.
-% This flag must be set via the \IEEEiedlistdecl or within the option 
-% of the IED list environments to have an effect.
-\newif\ifIEEEnolabelindentfactor
-\IEEEnolabelindentfactorfalse
-
-
-% internal variable to indicate type of IED label
-% justification
-% 0 - left; 1 - center; 2 - right
-\def\@IEEEiedjustify{0}
-
-
-% commands to allow the user to control IED
-% label justifications. Use these commands within
-% the IED environment option or in the \IEEEiedlistdecl
-% Note that changing the normal list justifications
-% is nonstandard and IEEE may not like it if you do so!
-% I include these commands as they may be helpful to
-% those who are using these enhanced list controls for
-% other non-IEEE related LaTeX work.
-% itemize and enumerate automatically default to right
-% justification, description defaults to left.
-\def\IEEEiedlabeljustifyl{\def\@IEEEiedjustify{0}}%left
-\def\IEEEiedlabeljustifyc{\def\@IEEEiedjustify{1}}%center
-\def\IEEEiedlabeljustifyr{\def\@IEEEiedjustify{2}}%right
-
-
-
-
-% commands to save to and restore from the list parameter copies
-% this allows us to set all the list parameters within
-% the list_decl and prevent \list (and its \@list) 
-% from overriding any of our parameters
-% V1.6 use \edefs instead of dimen's to conserve dimen registers
-% Note controlled spacing here, shield end of lines with %
-\def\@IEEEsavelistparams{\edef\@IEEEiedtopsep{\the\topsep}%
-\edef\@IEEEiedlabelwidth{\the\labelwidth}%
-\edef\@IEEEiedlabelsep{\the\labelsep}%
-\edef\@IEEEiedleftmargin{\the\leftmargin}%
-\edef\@IEEEiedpartopsep{\the\partopsep}%
-\edef\@IEEEiedparsep{\the\parsep}%
-\edef\@IEEEieditemsep{\the\itemsep}%
-\edef\@IEEEiedrightmargin{\the\rightmargin}%
-\edef\@IEEEiedlistparindent{\the\listparindent}%
-\edef\@IEEEieditemindent{\the\itemindent}}
-
-% Note controlled spacing here
-\def\@IEEErestorelistparams{\topsep\@IEEEiedtopsep\relax%
-\labelwidth\@IEEEiedlabelwidth\relax%
-\labelsep\@IEEEiedlabelsep\relax%
-\leftmargin\@IEEEiedleftmargin\relax%
-\partopsep\@IEEEiedpartopsep\relax%
-\parsep\@IEEEiedparsep\relax%
-\itemsep\@IEEEieditemsep\relax%
-\rightmargin\@IEEEiedrightmargin\relax%
-\listparindent\@IEEEiedlistparindent\relax%
-\itemindent\@IEEEieditemindent\relax}
-
-
-% v1.6b provide original LaTeX IED list environments
-% note that latex.ltx defines \itemize and \enumerate, but not \description
-% which must be created by the base classes
-% save original LaTeX itemize and enumerate
-\let\LaTeXitemize\itemize
-\let\endLaTeXitemize\enditemize
-\let\LaTeXenumerate\enumerate
-\let\endLaTeXenumerate\endenumerate
-
-% provide original LaTeX description environment from article.cls
-\newenvironment{LaTeXdescription}
-               {\list{}{\labelwidth\z@ \itemindent-\leftmargin
-                        \let\makelabel\descriptionlabel}}
-               {\endlist}
-\newcommand*\descriptionlabel[1]{\hspace\labelsep
-                                 \normalfont\bfseries #1}
-
-
-% override LaTeX's default IED lists
-\def\itemize{\@IEEEitemize}
-\def\enditemize{\@endIEEEitemize}
-\def\enumerate{\@IEEEenumerate}
-\def\endenumerate{\@endIEEEenumerate}
-\def\description{\@IEEEdescription}
-\def\enddescription{\@endIEEEdescription}
-
-% provide the user with aliases - may help those using packages that
-% override itemize, enumerate, or description
-\def\IEEEitemize{\@IEEEitemize}
-\def\endIEEEitemize{\@endIEEEitemize}
-\def\IEEEenumerate{\@IEEEenumerate}
-\def\endIEEEenumerate{\@endIEEEenumerate}
-\def\IEEEdescription{\@IEEEdescription}
-\def\endIEEEdescription{\@endIEEEdescription}
-
-
-% V1.6 we want to keep the IEEEtran IED list definitions as our own internal
-% commands so they are protected against redefinition
-\def\@IEEEitemize{\@ifnextchar[{\@@IEEEitemize}{\@@IEEEitemize[\relax]}}
-\def\@IEEEenumerate{\@ifnextchar[{\@@IEEEenumerate}{\@@IEEEenumerate[\relax]}}
-\def\@IEEEdescription{\@ifnextchar[{\@@IEEEdescription}{\@@IEEEdescription[\relax]}}
-\def\@endIEEEitemize{\endlist}
-\def\@endIEEEenumerate{\endlist}
-\def\@endIEEEdescription{\endlist}
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran itemized list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEitemize[#1]{%
-                \ifnum\@itemdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@itemdepth\@ne%
-                \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{2}% right justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \IEEElabelindent\IEEEilabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep \parskip%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % the user can override this later if
-                % they specified a \labelwidth
-                \settowidth{\labelwidth}{\csname labelitem\romannumeral\the\@itemdepth\endcsname}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname\@itemitem\endcsname}{%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \labelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\labelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran enumerate list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEenumerate[#1]{%
-                \ifnum\@enumdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@enumdepth\@ne%
-                \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{2}% right justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \IEEElabelindent\IEEEelabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % We'll set it to the width suitable for all labels using
-                % normalfont 1) to 9)
-                % The user can override this later
-                \settowidth{\labelwidth}{9)}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname label\@enumctr\endcsname}{\usecounter{\@enumctr}%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters 
-                #1\relax%
-                % If the user has requested not to use the
-                % IEEElabelindent factor, don't revise \IEEElabelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran description list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEdescription[#1]{%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@IEEEiedjustify{0}% left justified labels are default
-                % set other defaults
-                \IEEEnocalcleftmarginfalse%
-                \IEEEnolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep% 
-                \IEEElabelindent\IEEEdlabelindent%
-                % assume normal labelsep
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % Bogus label width in case the user forgets
-                % to set it.
-                % TIP: If you want to see what a variable's width is you
-                % can use the TeX command \showthe\width-variable to 
-                % display it on the screen during compilation 
-                % (This might be helpful to know when you need to find out
-                % which label is the widest)
-                \settowidth{\labelwidth}{Hello}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{}{\@IEEErestorelistparams% override any list{} changes
-                                               % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \IEEEiedlistdecl% let user alter parameters 
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \IEEElabelindent
-                \ifIEEEnolabelindentfactor\relax%
-                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \IEEElabelindent, \labelwidth and
-                % \labelsep
-                \ifIEEEnocalcleftmargin\relax%
-                \else\IEEEcalcleftmargin{\IEEElabelindent}\relax%
-                \fi}\fi}
-
-% v1.6b we use one makelabel that does justification as needed.
-\def\@IEEEiedmakelabel#1{\relax\if\@IEEEiedjustify 0\relax
-\makebox[\labelwidth][l]{\normalfont #1}\else
-\if\@IEEEiedjustify 1\relax
-\makebox[\labelwidth][c]{\normalfont #1}\else
-\makebox[\labelwidth][r]{\normalfont #1}\fi\fi}
-
-
-% VERSE and QUOTE
-% V1.7 define environments with newenvironment
-\newenvironment{verse}{\let\\=\@centercr
-    \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent
-    \rightmargin\leftmargin\advance\leftmargin 1.5em}\item\relax}
-    {\endlist}
-\newenvironment{quotation}{\list{}{\listparindent 1.5em \itemindent\listparindent
-    \rightmargin\leftmargin \parsep 0pt plus 1pt}\item\relax}
-    {\endlist}
-\newenvironment{quote}{\list{}{\rightmargin\leftmargin}\item\relax}
-    {\endlist}
-
-
-% \titlepage
-% provided only for backward compatibility. \maketitle is the correct
-% way to create the title page. 
-\newif\if@restonecol
-\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
-    \else \newpage \fi \thispagestyle{empty}\c@page\z@}
-\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}
-
-% standard values from article.cls
-\arraycolsep     5pt
-\arrayrulewidth .4pt
-\doublerulesep   2pt
-
-\tabcolsep       6pt
-\tabbingsep      0.5em
-
-
-%% FOOTNOTES
-%
-%\skip\footins 10pt plus 4pt minus 2pt
-% V1.6 respond to changes in font size
-% space added above the footnotes (if present)
-\skip\footins 0.9\baselineskip  plus 0.4\baselineskip  minus 0.2\baselineskip
-
-% V1.6, we need to make \footnotesep responsive to changes
-% in \baselineskip or strange spacings will result when in
-% draft mode. Here is a little LaTeX secret - \footnotesep
-% determines the height of an invisible strut that is placed
-% *above* the baseline of footnotes after the first. Since
-% LaTeX considers the space for characters to be 0.7/baselineskip
-% above the baseline and 0.3/baselineskip below it, we need to
-% use 0.7/baselineskip as a \footnotesep to maintain equal spacing
-% between all the lines of the footnotes. IEEE often uses a tad
-% more, so use 0.8\baselineskip. This slightly larger value also helps
-% the text to clear the footnote marks. Note that \thanks in IEEEtran
-% uses its own value of \footnotesep which is set in \maketitle.
-{\footnotesize
-\global\footnotesep 0.8\baselineskip}
-
-\def\unnumberedfootnote{\gdef\@thefnmark{\quad}\@footnotetext}
-
-\skip\@mpfootins 0.3\baselineskip
-\fboxsep = 3pt
-\fboxrule = .4pt
-% V1.6 use 1em, then use LaTeX2e's \@makefnmark
-% Note that IEEE normally *left* aligns the footnote marks, so we don't need
-% box resizing tricks here.
-%\long\def\@makefnmark{\scriptsize\normalfont\@thefnmark}
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em
-\long\def\@maketablefntext#1{\raggedleft\leavevmode\hbox{\@makefnmark}#1}
-% V1.7 compsoc does not use superscipts for footnote marks
-\ifCLASSOPTIONcompsoc
-\def\@IEEEcompsocmakefnmark{\hbox{\normalfont\@thefnmark.\ }}
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@IEEEcompsocmakefnmark}#1}
-\fi
-
-% IEEE does not use footnote rules. Or do they?
-\def\footnoterule{\vskip-2pt \hrule height 0.6pt depth \z@ \vskip1.6pt\relax}
-\toks@\expandafter{\@setminipage\let\footnoterule\relax\footnotesep\z@}
-\edef\@setminipage{\the\toks@}
-
-% V1.7 for compsoc, IEEE uses a footnote rule only for \thanks. We devise a "one-shot"
-% system to implement this.
-\newif\if@IEEEenableoneshotfootnoterule
-\@IEEEenableoneshotfootnoterulefalse
-\ifCLASSOPTIONcompsoc
-\def\footnoterule{\relax\if@IEEEenableoneshotfootnoterule
-\kern-5pt
-\hbox to \columnwidth{\hfill\vrule width 0.5\columnwidth height 0.4pt\hfill}
-\kern4.6pt
-\global\@IEEEenableoneshotfootnoterulefalse
-\else
-\relax
-\fi}
-\fi
-
-% V1.6 do not allow LaTeX to break a footnote across multiple pages
-\interfootnotelinepenalty=10000
-
-% V1.6 discourage breaks within equations
-% Note that amsmath normally sets this to 10000,
-% but LaTeX2e normally uses 100.
-\interdisplaylinepenalty=2500
-
-% default allows section depth up to /paragraph
-\setcounter{secnumdepth}{4}
-
-% technotes do not allow /paragraph
-\ifCLASSOPTIONtechnote
-   \setcounter{secnumdepth}{3}
-\fi
-% neither do compsoc conferences
-\@IEEEcompsocconfonly{\setcounter{secnumdepth}{3}}
-
-
-\newcounter{section}
-\newcounter{subsection}[section]
-\newcounter{subsubsection}[subsection]
-\newcounter{paragraph}[subsubsection]
-
-% used only by IEEEtran's IEEEeqnarray as other packages may
-% have their own, different, implementations
-\newcounter{IEEEsubequation}[equation]
-
-% as shown when called by user from \ref, \label and in table of contents
-\def\theequation{\arabic{equation}}                          % 1
-\def\theIEEEsubequation{\theequation\alph{IEEEsubequation}}  % 1a (used only by IEEEtran's IEEEeqnarray)
-\ifCLASSOPTIONcompsoc
-% compsoc is all arabic
-\def\thesection{\arabic{section}}                
-\def\thesubsection{\thesection.\arabic{subsection}}
-\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}
-\def\theparagraph{\thesubsubsection.\arabic{paragraph}}
-\else
-\def\thesection{\Roman{section}}                             % I
-% V1.7, \mbox prevents breaks around - 
-\def\thesubsection{\mbox{\thesection-\Alph{subsection}}}     % I-A
-% V1.7 use I-A1 format used by IEEE rather than I-A.1
-\def\thesubsubsection{\thesubsection\arabic{subsubsection}}  % I-A1
-\def\theparagraph{\thesubsubsection\alph{paragraph}}         % I-A1a
-\fi
-
-% From Heiko Oberdiek. Because of the \mbox in \thesubsection, we need to
-% tell hyperref to disable the \mbox command when making PDF bookmarks.
-% This done already with hyperref.sty version 6.74o and later, but
-% it will not hurt to do it here again for users of older versions.
-\@ifundefined{pdfstringdefPreHook}{\let\pdfstringdefPreHook\@empty}{}%
-\g@addto@macro\pdfstringdefPreHook{\let\mbox\relax}
-
-
-% Main text forms (how shown in main text headings)
-% V1.6, using \thesection in \thesectiondis allows changes
-% in the former to automatically appear in the latter
-\ifCLASSOPTIONcompsoc
-  \ifCLASSOPTIONconference% compsoc conference
-    \def\thesectiondis{\thesection.}
-    \def\thesubsectiondis{\thesectiondis\arabic{subsection}.}
-    \def\thesubsubsectiondis{\thesubsectiondis\arabic{subsubsection}.}
-    \def\theparagraphdis{\thesubsubsectiondis\arabic{paragraph}.}
-  \else% compsoc not conferencs
-    \def\thesectiondis{\thesection}
-    \def\thesubsectiondis{\thesectiondis.\arabic{subsection}}
-    \def\thesubsubsectiondis{\thesubsectiondis.\arabic{subsubsection}}
-    \def\theparagraphdis{\thesubsubsectiondis.\arabic{paragraph}}
-  \fi
-\else% not compsoc
-  \def\thesectiondis{\thesection.}                   % I.
-  \def\thesubsectiondis{\Alph{subsection}.}          % B.
-  \def\thesubsubsectiondis{\arabic{subsubsection})}  % 3)
-  \def\theparagraphdis{\alph{paragraph})}            % d)
-\fi
-
-% just like LaTeX2e's \@eqnnum
-\def\theequationdis{{\normalfont \normalcolor (\theequation)}}% (1)
-% IEEEsubequation used only by IEEEtran's IEEEeqnarray
-\def\theIEEEsubequationdis{{\normalfont \normalcolor (\theIEEEsubequation)}}% (1a)
-% redirect LaTeX2e's equation number display and all that depend on
-% it, through IEEEtran's \theequationdis
-\def\@eqnnum{\theequationdis}
-
-
-
-% V1.7 provide string macros as article.cls does
-\def\contentsname{Contents}
-\def\listfigurename{List of Figures}
-\def\listtablename{List of Tables}
-\def\refname{References}
-\def\indexname{Index}
-\def\figurename{Fig.}
-\def\tablename{TABLE}
-\@IEEEcompsocconfonly{\def\figurename{Figure}\def\tablename{Table}}
-\def\partname{Part}
-\def\appendixname{Appendix}
-\def\abstractname{Abstract}
-% IEEE specific names
-\def\IEEEkeywordsname{Keywords}
-\def\IEEEproofname{Proof}
-
-
-% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS
-%
-\def\@pnumwidth{1.55em}
-\def\@tocrmarg{2.55em}
-\def\@dotsep{4.5}
-\setcounter{tocdepth}{3}
-
-% adjusted some spacings here so that section numbers will not easily 
-% collide with the section titles. 
-% VIII; VIII-A; and VIII-A.1 are usually the worst offenders.
-% MDS 1/2001
-\def\tableofcontents{\section*{\contentsname}\@starttoc{toc}}
-\def\l@section#1#2{\addpenalty{\@secpenalty}\addvspace{1.0em plus 1pt}%
-    \@tempdima 2.75em \begingroup \parindent \z@ \rightskip \@pnumwidth%
-    \parfillskip-\@pnumwidth {\bfseries\leavevmode #1}\hfil\hbox to\@pnumwidth{\hss #2}\par%
-    \endgroup}
-% argument format #1:level, #2:labelindent,#3:labelsep
-\def\l@subsection{\@dottedtocline{2}{2.75em}{3.75em}}
-\def\l@subsubsection{\@dottedtocline{3}{6.5em}{4.5em}}
-% must provide \l@ defs for ALL sublevels EVEN if tocdepth
-% is such as they will not appear in the table of contents
-% these defs are how TOC knows what level these things are!
-\def\l@paragraph{\@dottedtocline{4}{6.5em}{5.5em}}
-\def\l@subparagraph{\@dottedtocline{5}{6.5em}{6.5em}}
-\def\listoffigures{\section*{\listfigurename}\@starttoc{lof}}
-\def\l@figure{\@dottedtocline{1}{0em}{2.75em}}
-\def\listoftables{\section*{\listtablename}\@starttoc{lot}}
-\let\l@table\l@figure
-
-
-%% Definitions for floats
-%%
-%% Normal Floats
-\floatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-\textfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-\@fptop 0pt plus 1fil
-\@fpsep 0.75\baselineskip plus 2fil 
-\@fpbot 0pt plus 1fil
-\def\topfraction{0.9}
-\def\bottomfraction{0.4}
-\def\floatpagefraction{0.8}
-% V1.7, let top floats approach 90% of page
-\def\textfraction{0.1}
-
-%% Double Column Floats
-\dblfloatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-
-\dbltextfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-% Note that it would be nice if the rubber here actually worked in LaTeX2e.
-% There is a long standing limitation in LaTeX, first discovered (to the best
-% of my knowledge) by Alan Jeffrey in 1992. LaTeX ignores the stretchable
-% portion of \dbltextfloatsep, and as a result, double column figures can and
-% do result in an non-integer number of lines in the main text columns with
-% underfull vbox errors as a consequence. A post to comp.text.tex
-% by Donald Arseneau confirms that this had not yet been fixed in 1998.
-% IEEEtran V1.6 will fix this problem for you in the titles, but it doesn't
-% protect you from other double floats. Happy vspace'ing.
-
-\@dblfptop 0pt plus 1fil
-\@dblfpsep 0.75\baselineskip plus 2fil
-\@dblfpbot 0pt plus 1fil
-\def\dbltopfraction{0.8}
-\def\dblfloatpagefraction{0.8}
-\setcounter{dbltopnumber}{4}
-
-\intextsep 1\baselineskip plus 0.2\baselineskip minus  0.2\baselineskip
-\setcounter{topnumber}{2}
-\setcounter{bottomnumber}{2}
-\setcounter{totalnumber}{4}
-
-
-
-% article class provides these, we should too.
-\newlength\abovecaptionskip
-\newlength\belowcaptionskip
-% but only \abovecaptionskip is used above figure captions and *below* table
-% captions
-\setlength\abovecaptionskip{0.65\baselineskip}
-\setlength\belowcaptionskip{0.75\baselineskip}
-% V1.6 create hooks in case the caption spacing ever needs to be
-% overridden by a user
-\def\@IEEEfigurecaptionsepspace{\vskip\abovecaptionskip\relax}%
-\def\@IEEEtablecaptionsepspace{\vskip\belowcaptionskip\relax}%
-
-
-% 1.6b revise caption system so that \@makecaption uses two arguments
-% as with LaTeX2e. Otherwise, there will be problems when using hyperref.
-\def\@IEEEtablestring{table}
-
-\ifCLASSOPTIONcompsoc
-% V1.7 compsoc \@makecaption
-\ifCLASSOPTIONconference% compsoc conference
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\normalsize\begin{center}{\normalfont\sffamily\normalsize {#1.}~ #2}\end{center}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, center
-\else%
-\hbox to\hsize{\normalfont\sffamily\normalsize\hfil\box\@tempboxa\hfil}%
-\fi\fi}
-\else% nonconference compsoc
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\normalsize\begin{center}{\normalfont\sffamily\normalsize #1}\\{\normalfont\sffamily\normalsize #2}\end{center}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, left justify
-\else%
-\hbox to\hsize{\normalfont\sffamily\normalsize\box\@tempboxa\hfil}%
-\fi\fi}
-\fi
-
-\else% traditional noncompsoc \@makecaption
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\footnotesize{\centering\normalfont\footnotesize#1.\qquad\scshape #2\par}%
-\@IEEEtablecaptionsepspace
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace
-% 3/2001 use footnotesize, not small; use two nonbreaking spaces, not one
-\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}~~ }%
-\parbox[t]{\hsize}{\normalfont\footnotesize\noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line, center if conference, left justify otherwise
-\else%
-\ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%
-\else \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%
-\fi\fi\fi}
-\fi
-
-
-
-% V1.7 disable captions class option, do so in a way that retains operation of \label
-% within \caption
-\ifCLASSOPTIONcaptionsoff
-\long\def\@makecaption#1#2{\vspace*{2em}\footnotesize\begin{center}{\footnotesize #1}\end{center}%
-\let\@IEEEtemporiglabeldefsave\label
-\let\@IEEEtemplabelargsave\relax
-\def\label##1{\gdef\@IEEEtemplabelargsave{##1}}%
-\setbox\@tempboxa\hbox{#2}%
-\let\label\@IEEEtemporiglabeldefsave
-\ifx\@IEEEtemplabelargsave\relax\else\label{\@IEEEtemplabelargsave}\fi}
-\fi
-
-
-% V1.7 define end environments with \def not \let so as to work OK with
-% preview-latex
-\newcounter{figure}
-\def\thefigure{\@arabic\c@figure}
-\def\fps@figure{tbp}
-\def\ftype@figure{1}
-\def\ext@figure{lof}
-\def\fnum@figure{\figurename~\thefigure}
-\def\figure{\@float{figure}}
-\def\endfigure{\end@float}
-\@namedef{figure*}{\@dblfloat{figure}}
-\@namedef{endfigure*}{\end@dblfloat}
-\newcounter{table}
-\ifCLASSOPTIONcompsoc
-\def\thetable{\arabic{table}}
-\else
-\def\thetable{\@Roman\c@table}
-\fi
-\def\fps@table{tbp}
-\def\ftype@table{2}
-\def\ext@table{lot}
-\def\fnum@table{\tablename~\thetable}
-% V1.6 IEEE uses 8pt text for tables
-% to default to footnotesize, we hack into LaTeX2e's \@floatboxreset and pray
-\def\table{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}%
-  \let\@makefntext\@maketablefntext
-  \@float{table}}
-\def\endtable{\end@float}
-% v1.6b double column tables need to default to footnotesize as well.
-\@namedef{table*}{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}\@dblfloat{table}}
-\@namedef{endtable*}{\end@dblfloat}
-
-
-
-
-%%
-%% START OF IEEEeqnarry DEFINITIONS
-%%
-%% Inspired by the concepts, examples, and previous works of LaTeX 
-%% coders and developers such as Donald Arseneau, Fred Bartlett, 
-%% David Carlisle, Tony Liu, Frank Mittelbach, Piet van Oostrum, 
-%% Roland Winkler and Mark Wooding.
-%% I don't make the claim that my work here is even near their calibre. ;)
-
-
-% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting
-\def\@IEEEclspkgerror{\ClassError{IEEEtran}}
-
-\newif\if@IEEEeqnarraystarform% flag to indicate if the environment was called as the star form
-\@IEEEeqnarraystarformfalse
-
-\newif\if@advanceIEEEeqncolcnt% tracks if the environment should advance the col counter
-% allows a way to make an \IEEEeqnarraybox that can be used within an \IEEEeqnarray
-% used by IEEEeqnarraymulticol so that it can work properly in both
-\@advanceIEEEeqncolcnttrue
-
-\newcount\@IEEEeqnnumcols % tracks how many IEEEeqnarray cols are defined
-\newcount\@IEEEeqncolcnt  % tracks how many IEEEeqnarray cols the user actually used
-
-
-% The default math style used by the columns
-\def\IEEEeqnarraymathstyle{\displaystyle}
-% The default text style used by the columns
-% default to using the current font
-\def\IEEEeqnarraytextstyle{\relax}
-
-% like the iedlistdecl but for \IEEEeqnarray
-\def\IEEEeqnarraydecl{\relax}
-\def\IEEEeqnarrayboxdecl{\relax}
-
-% \yesnumber is the opposite of \nonumber
-% a novel concept with the same def as the equationarray package
-% However, we give IEEE versions too since some LaTeX packages such as 
-% the MDWtools mathenv.sty redefine \nonumber to something else.
-\providecommand{\yesnumber}{\global\@eqnswtrue}
-\def\IEEEyesnumber{\global\@eqnswtrue}
-\def\IEEEnonumber{\global\@eqnswfalse}
-
-
-\def\IEEEyessubnumber{\global\@IEEEissubequationtrue\global\@eqnswtrue%
-\if@IEEEeqnarrayISinner% only do something inside an IEEEeqnarray
-\if@IEEElastlinewassubequation\addtocounter{equation}{-1}\else\setcounter{IEEEsubequation}{1}\fi%
-\def\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\fi}
-
-% flag to indicate that an equation is a sub equation
-\newif\if@IEEEissubequation%
-\@IEEEissubequationfalse
-
-% allows users to "push away" equations that get too close to the equation numbers
-\def\IEEEeqnarraynumspace{\hphantom{\if@IEEEissubequation\theIEEEsubequationdis\else\theequationdis\fi}}
-
-% provides a way to span multiple columns within IEEEeqnarray environments
-% will consider \if@advanceIEEEeqncolcnt before globally advancing the
-% column counter - so as to work within \IEEEeqnarraybox
-% usage: \IEEEeqnarraymulticol{number cols. to span}{col type}{cell text}
-\long\def\IEEEeqnarraymulticol#1#2#3{\multispan{#1}%
-% check if column is defined
-\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined%
-\csname @IEEEeqnarraycolPRE#2\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST#2\endcsname%
-\else% if not, error and use default type
-\@IEEEclspkgerror{Invalid column type "#2" in \string\IEEEeqnarraymulticol.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\csname @IEEEeqnarraycolPRE@IEEEdefault\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST@IEEEdefault\endcsname%
-\fi%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by #1\relax\fi}
-
-% like \omit, but maintains track of the column counter for \IEEEeqnarray
-\def\IEEEeqnarrayomit{\omit\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by 1\relax\fi}
-
-
-% provides a way to define a letter referenced column type
-% usage: \IEEEeqnarraydefcol{col. type letter/name}{pre insertion text}{post insertion text}
-\def\IEEEeqnarraydefcol#1#2#3{\expandafter\def\csname @IEEEeqnarraycolPRE#1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolPOST#1\endcsname{#3}%
-\expandafter\def\csname @IEEEeqnarraycolDEF#1\endcsname{1}}
-
-
-% provides a way to define a numerically referenced inter-column glue types
-% usage: \IEEEeqnarraydefcolsep{col. glue number}{glue definition}
-\def\IEEEeqnarraydefcolsep#1#2{\expandafter\def\csname @IEEEeqnarraycolSEP\romannumeral #1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolSEPDEF\romannumeral #1\endcsname{1}}
-
-
-\def\@IEEEeqnarraycolisdefined{1}% just a macro for 1, used for checking undefined column types
-
-
-% expands and appends the given argument to the \@IEEEtrantmptoksA token list
-% used to build up the \halign preamble
-\def\@IEEEappendtoksA#1{\edef\@@IEEEappendtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA #1}}%
-\@@IEEEappendtoksA}
-
-% also appends to \@IEEEtrantmptoksA, but does not expand the argument
-% uses \toks8 as a scratchpad register
-\def\@IEEEappendNOEXPANDtoksA#1{\toks8={#1}%
-\edef\@@IEEEappendNOEXPANDtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA\the\toks8}}%
-\@@IEEEappendNOEXPANDtoksA}
-
-% define some common column types for the user
-% math
-\IEEEeqnarraydefcol{l}{$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{c}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{r}{\hfil$\IEEEeqnarraymathstyle}{$}
-\IEEEeqnarraydefcol{L}{$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{C}{\hfil$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{R}{\hfil$\IEEEeqnarraymathstyle{}}{{}$}
-% text
-\IEEEeqnarraydefcol{s}{\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{t}{\hfil\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{u}{\hfil\IEEEeqnarraytextstyle}{}
-
-% vertical rules
-\IEEEeqnarraydefcol{v}{}{\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{vv}{\vrule width\arrayrulewidth\hfil}{\hfil\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{V}{}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{VV}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth\hfil}%
-{\hfil\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-
-% horizontal rules
-\IEEEeqnarraydefcol{h}{}{\leaders\hrule height\arrayrulewidth\hfil}
-\IEEEeqnarraydefcol{H}{}{\leaders\vbox{\hrule width\arrayrulewidth\vskip\doublerulesep\hrule width\arrayrulewidth}\hfil}
-
-% plain
-\IEEEeqnarraydefcol{x}{}{}
-\IEEEeqnarraydefcol{X}{$}{$}
-
-% the default column type to use in the event a column type is not defined
-\IEEEeqnarraydefcol{@IEEEdefault}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-
-
-% a zero tabskip (used for "-" col types)
-\def\@IEEEeqnarraycolSEPzero{0pt plus 0pt minus 0pt}
-% a centering tabskip (used for "+" col types)
-\def\@IEEEeqnarraycolSEPcenter{1000pt plus 0pt minus 1000pt}
-
-% top level default tabskip glues for the start, end, and inter-column
-% may be reset within environments not always at the top level, e.g., \IEEEeqnarraybox
-\edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPcenter}% default start glue
-\edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPcenter}% default end glue
-\edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-
-
-
-% creates a vertical rule that extends from the bottom to the top a a cell
-% Provided in case other packages redefine \vline some other way.
-% usage: \IEEEeqnarrayvrule[rule thickness]
-% If no argument is provided, \arrayrulewidth will be used for the rule thickness. 
-\newcommand\IEEEeqnarrayvrule[1][\arrayrulewidth]{\vrule\@width#1\relax}
-
-% creates a blank separator row
-% usage: \IEEEeqnarrayseprow[separation length][font size commands]
-% default is \IEEEeqnarrayseprow[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprow{\relax\@ifnextchar[{\@IEEEeqnarrayseprow}{\@IEEEeqnarrayseprow[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprow[#1]}{\@@IEEEeqnarrayseprow[#1][\relax]}}
-\def\@@IEEEeqnarrayseprow[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\@IEEEeqnarrayhoptolastcolumn\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-% creates a blank separator row, but omits all the column templates
-% usage: \IEEEeqnarrayseprowcut[separation length][font size commands]
-% default is \IEEEeqnarrayseprowcut[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayseprowcut}{\@IEEEeqnarrayseprowcut[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprowcut[#1]}{\@@IEEEeqnarrayseprowcut[#1][\relax]}}
-\def\@@IEEEeqnarrayseprowcut[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-
-
-% draws a single rule across all the columns optional
-% argument determines the rule width, \arrayrulewidth is the default
-% updates column counter as needed and turns off struts
-% usage: \IEEEeqnarrayrulerow[rule line thickness]
-\def\IEEEeqnarrayrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayrulerow}{\@IEEEeqnarrayrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarrayrulerow[#1]{\leaders\hrule height#1\hfil\relax% put in our rule 
-% turn off any struts
-\IEEEeqnarraystrutsize{0pt}{0pt}[\relax]\relax}
-
-
-% draws a double rule by using a single rule row, a separator row, and then
-% another single rule row 
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerow}{\@IEEEeqnarraydblrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerow[#1]}%
-{\@@IEEEeqnarraydblrulerow[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerow[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]\relax%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprow[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprow[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-% draws a double rule by using a single rule row, a separator (cutting) row, and then
-% another single rule row 
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerowcut}{\@IEEEeqnarraydblrulerowcut[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerowcut[#1]}%
-{\@@IEEEeqnarraydblrulerowcut[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerowcut[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprowcut[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprowcut[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-
-
-% inserts a full row's worth of &'s
-% relies on \@IEEEeqnnumcols to provide the correct number of columns
-% uses \@IEEEtrantmptoksA, \count0 as scratch registers
-\def\@IEEEeqnarrayhoptolastcolumn{\@IEEEtrantmptoksA={}\count0=1\relax%
-\loop% add cols if the user did not use them all
-\ifnum\count0<\@IEEEeqnnumcols\relax%
-\@IEEEappendtoksA{&}%
-\advance\count0 by 1\relax% update the col count
-\repeat%
-\the\@IEEEtrantmptoksA%execute the &'s
-}
-
-
-
-\newif\if@IEEEeqnarrayISinner % flag to indicate if we are within the lines
-\@IEEEeqnarrayISinnerfalse    % of an IEEEeqnarray - after the IEEEeqnarraydecl
-
-\edef\@IEEEeqnarrayTHEstrutheight{0pt} % height and depth of IEEEeqnarray struts
-\edef\@IEEEeqnarrayTHEstrutdepth{0pt}
-
-\edef\@IEEEeqnarrayTHEmasterstrutheight{0pt} % default height and depth of
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{0pt}  % struts within an IEEEeqnarray
-
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{0pt} % saved master strut height
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{0pt} % and depth
-
-\newif\if@IEEEeqnarrayusemasterstrut % flag to indicate that the master strut value
-\@IEEEeqnarrayusemasterstruttrue     % is to be used
-
-
-
-% saves the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutsave{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% save values
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{\the\dimen2}}
-
-% restores the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutrestore{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutHSAVE\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutDSAVE\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}}
-
-
-% globally restores the strut height and depth to the 
-% master values and sets the master strut flag to true
-\def\@IEEEeqnarraystrutreset{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\xdef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\global\@IEEEeqnarrayusemasterstruttrue}
-
-
-% if the master strut is not to be used, make the current
-% values of \@IEEEeqnarrayTHEstrutheight, \@IEEEeqnarrayTHEstrutdepth
-% and the use master strut flag, global
-% this allows user strut commands issued in the last column to be carried
-% into the isolation/strut column
-\def\@IEEEeqnarrayglobalizestrutstatus{\relax%
-\if@IEEEeqnarrayusemasterstrut\else%
-\xdef\@IEEEeqnarrayTHEstrutheight{\@IEEEeqnarrayTHEstrutheight}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\@IEEEeqnarrayTHEstrutdepth}%
-\global\@IEEEeqnarrayusemasterstrutfalse%
-\fi}
-
-
-
-% usage: \IEEEeqnarraystrutsize{height}{depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, sets the height
-% and depth of both the master and local struts. If called inside
-% an IEEEeqnarray line, sets the height and depth of the local strut
-% only and sets the flag to indicate the use of the local strut
-% values. If the height or depth is left blank, 0.7\normalbaselineskip
-% and 0.3\normalbaselineskip will be used, respectively.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsize#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsize{#1}{#2}}{\@IEEEeqnarraystrutsize{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsize#1#2[#3]{\def\@IEEEeqnarraystrutsizeARG{#1}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.7\normalbaselineskip}}%
-\skip0=\skip3\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1\relax}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizeARG{#2}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.3\normalbaselineskip}}%
-\skip2=\skip3\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2\relax}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% usage: \IEEEeqnarraystrutsizeadd{added height}{added depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, adds the given height
-% and depth to both the master and local struts.
-% If called inside an IEEEeqnarray line, adds the given height and depth
-% to the local strut only and sets the flag to indicate the use 
-% of the local strut values.
-% In both cases, if a height or depth is left blank, 0pt is used instead.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsizeadd#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsizeadd{#1}{#2}}{\@IEEEeqnarraystrutsizeadd{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsizeadd#1#2[#3]{\def\@IEEEeqnarraystrutsizearg{#1}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip0=0pt\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizearg{#2}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip2=0pt\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local and master strut sizes
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% allow user a way to see the struts
-\newif\ifIEEEvisiblestruts
-\IEEEvisiblestrutsfalse
-
-% inserts an invisible strut using the master or local strut values
-% uses scratch registers \skip0, \skip2, \dimen0, \dimen2
-\def\@IEEEeqnarrayinsertstrut{\relax%
-\if@IEEEeqnarrayusemasterstrut
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-\else%
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-% allow user to see struts if desired
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0pt height\dimen0 depth\dimen2\relax\fi}
-
-
-% creates an invisible strut, useable even outside \IEEEeqnarray
-% if \IEEEvisiblestrutstrue, the strut will be visible and 0.2pt wide. 
-% usage: \IEEEstrut[height][depth][font size commands]
-% default is \IEEEstrut[0.7\normalbaselineskip][0.3\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \dimen0, \dimen2, \skip0, \skip2
-\def\IEEEstrut{\relax\@ifnextchar[{\@IEEEstrut}{\@IEEEstrut[0.7\normalbaselineskip]}}
-\def\@IEEEstrut[#1]{\relax\@ifnextchar[{\@@IEEEstrut[#1]}{\@@IEEEstrut[#1][0.3\normalbaselineskip]}}
-\def\@@IEEEstrut[#1][#2]{\relax\@ifnextchar[{\@@@IEEEstrut[#1][#2]}{\@@@IEEEstrut[#1][#2][\relax]}}
-\def\@@@IEEEstrut[#1][#2][#3]{\mbox{#3\relax%
-\def\@IEEEstrutARG{#1}%
-\ifx\@IEEEstrutARG\@empty%
-\skip0=0.7\normalbaselineskip\relax%
-\else%
-\skip0=#1\relax%
-\fi%
-\def\@IEEEstrutARG{#2}%
-\ifx\@IEEEstrutARG\@empty%
-\skip2=0.3\normalbaselineskip\relax%
-\else%
-\skip2=#2\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0.0pt height\dimen0 depth\dimen2\relax\fi}}
-
-
-% enables strut mode by setting a default strut size and then zeroing the
-% \baselineskip, \lineskip, \lineskiplimit and \jot
-\def\IEEEeqnarraystrutmode{\IEEEeqnarraystrutsize{0.7\normalbaselineskip}{0.3\normalbaselineskip}[\relax]%
-\baselineskip=0pt\lineskip=0pt\lineskiplimit=0pt\jot=0pt}
-
-
-
-\def\IEEEeqnarray{\@IEEEeqnarraystarformfalse\@IEEEeqnarray}
-\def\endIEEEeqnarray{\end@IEEEeqnarray}
-
-\@namedef{IEEEeqnarray*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarray}
-\@namedef{endIEEEeqnarray*}{\end@IEEEeqnarray}
-
-
-% \IEEEeqnarray is an enhanced \eqnarray. 
-% The star form defaults to not putting equation numbers at the end of each row.
-% usage: \IEEEeqnarray[decl]{cols}
-\def\@IEEEeqnarray{\relax\@ifnextchar[{\@@IEEEeqnarray}{\@@IEEEeqnarray[\relax]}}
-\def\@@IEEEeqnarray[#1]#2{%
-   % default to showing the equation number or not based on whether or not
-   % the star form was involked
-   \if@IEEEeqnarraystarform\global\@eqnswfalse
-   \else% not the star form
-   \global\@eqnswtrue
-   \fi% if star form
-   \@IEEEissubequationfalse% default to no subequations
-   \@IEEElastlinewassubequationfalse% assume last line is not a sub equation
-   \@IEEEeqnarrayISinnerfalse% not yet within the lines of the halign
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax
-   \lineskiplimit=0pt\relax
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\IEEEnormaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   \@advanceIEEEeqncolcnttrue% advance the col counter for each col the user uses, 
-                             % used in \IEEEeqnarraymulticol and in the preamble build
-   \stepcounter{equation}% advance equation counter before first line
-   \setcounter{IEEEsubequation}{0}% no subequation yet 
-   \def\@currentlabel{\p@equation\theequation}% redefine the ref label
-   \IEEEeqnarraydecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarraycr% replace newline with one that can put in eqn. numbers
-   \global\@IEEEeqncolcnt\z@% col. count = 0 for first line
-   \@IEEEbuildpreamble #2\end\relax% build the preamble and put it into \@IEEEtrantmptoksA 
-   % put in the column for the equation number
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % advance the \@IEEEeqncolcnt for the isolation col, this helps with error checking
-   \@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the isolation column
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}%
-   % advance the \@IEEEeqncolcnt for the equation number col, this helps with error checking
-   \@IEEEappendtoksA{&\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the equation number col to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\hb@xt@\z@\bgroup\hss\the\toks0\egroup}%
-   % note \@IEEEeqnnumcols does not count the equation col or isolation col
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the display alignment
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   $$\everycr{}\halign to\displaywidth\bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% enter isolation/strut column (or the next column if the user did not use
-% every column), record the strut status, complete the columns, do the strut if needed,
-% restore counters to correct values and exit
-\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup%
-\if@IEEElastlinewassubequation\global\advance\c@IEEEsubequation\m@ne\fi%
-\global\advance\c@equation\m@ne%
-$$\@ignoretrue}
-
-% need a way to remember if last line is a subequation
-\newif\if@IEEElastlinewassubequation%
-\@IEEElastlinewassubequationfalse
-
-% IEEEeqnarray uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\*[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the next column
-% as there is an isolation/strut column after the user's columns
-\def\@IEEEeqnarraycr{\@IEEEeqnarrayglobalizestrutstatus&% save strut status and advance to next column
-   {\ifnum0=`}\fi
-   \@ifstar{%
-      \global\@eqpen\@M\@IEEEeqnarrayYCR
-   }{%
-      \global\@eqpen\interdisplaylinepenalty \@IEEEeqnarrayYCR
-   }%
-}
-
-\def\@IEEEeqnarrayYCR{\@testopt\@IEEEeqnarrayXCR\z@skip}
-
-\def\@IEEEeqnarrayXCR[#1]{%
-   \ifnum0=`{\fi}%
-   \@@IEEEeqnarraycr
-   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}%
-
-\def\@@IEEEeqnarraycr{\@IEEEtrantmptoksA={}% clear token register
-    \advance\@IEEEeqncolcnt by -1\relax% adjust col count because of the isolation column
-    \ifnum\@IEEEeqncolcnt>\@IEEEeqnnumcols\relax
-    \@IEEEclspkgerror{Too many columns within the IEEEeqnarray\MessageBreak
-                          environment}%
-    {Use fewer \string &'s or put more columns in the IEEEeqnarry column\MessageBreak 
-     specifications.}\relax%
-    \else
-    \loop% add cols if the user did not use them all
-    \ifnum\@IEEEeqncolcnt<\@IEEEeqnnumcols\relax
-    \@IEEEappendtoksA{&}%
-    \advance\@IEEEeqncolcnt by 1\relax% update the col count
-    \repeat
-    % this number of &'s will take us the the isolation column
-    \fi
-    % execute the &'s
-    \the\@IEEEtrantmptoksA%
-    % handle the strut/isolation column
-    \@IEEEeqnarrayinsertstrut% do the strut if needed
-    \@IEEEeqnarraystrutreset% reset the strut system for next line or IEEEeqnarray
-    &% and enter the equation number column
-    % is this line needs an equation number, display it and advance the
-    % (sub)equation counters, record what type this line was
-    \if@eqnsw%
-     \if@IEEEissubequation\theIEEEsubequationdis\addtocounter{equation}{1}\stepcounter{IEEEsubequation}%
-     \global\@IEEElastlinewassubequationtrue%
-     \else% display a standard equation number, initialize the IEEEsubequation counter
-     \theequationdis\stepcounter{equation}\setcounter{IEEEsubequation}{0}%
-     \global\@IEEElastlinewassubequationfalse\fi%
-    \fi%
-    % reset the eqnsw flag to indicate default preference of the display of equation numbers
-    \if@IEEEeqnarraystarform\global\@eqnswfalse\else\global\@eqnswtrue\fi
-    \global\@IEEEissubequationfalse% reset the subequation flag
-    % reset the number of columns the user actually used
-    \global\@IEEEeqncolcnt\z@\relax
-    % the real end of the line
-    \cr}
-
-
-
-
-
-% \IEEEeqnarraybox is like \IEEEeqnarray except the box form puts everything
-% inside a vtop, vbox, or vcenter box depending on the letter in the second
-% optional argument (t,b,c). Vbox is the default. Unlike \IEEEeqnarray,
-% equation numbers are not displayed and \IEEEeqnarraybox can be nested.
-% \IEEEeqnarrayboxm is for math mode (like \array) and does not put the vbox
-% within an hbox.
-% \IEEEeqnarrayboxt is for text mode (like \tabular) and puts the vbox within
-% a \hbox{$ $} construct.
-% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or 
-% \IEEEeqnarrayboxt depending on the math mode.
-% The third optional argument specifies the width this box is to be set to -
-% natural width is the default.
-% The * forms do not add \jot line spacing
-% usage: \IEEEeqnarraybox[decl][pos][width]{cols}
-\def\IEEEeqnarrayboxm{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarrayboxt{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarraybox{\@IEEEeqnarraystarformfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox}
-
-\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarraystarformtrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox}
-
-% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $} 
-% for \vcenter in non-math mode
-\newif\if@IEEEeqnarrayboxHBOXSW%
-\@IEEEeqnarrayboxHBOXSWfalse
-
-\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}}
-\def\@@IEEEeqnarraybox[#1]{\relax\@ifnextchar[{\@@@IEEEeqnarraybox[#1]}{\@@@IEEEeqnarraybox[#1][b]}}
-\def\@@@IEEEeqnarraybox[#1][#2]{\relax\@ifnextchar[{\@@@@IEEEeqnarraybox[#1][#2]}{\@@@@IEEEeqnarraybox[#1][#2][\relax]}}
-
-% #1 = decl; #2 = t,b,c; #3 = width, #4 = col specs
-\def\@@@@IEEEeqnarraybox[#1][#2][#3]#4{\@IEEEeqnarrayISinnerfalse % not yet within the lines of the halign
-   \@IEEEeqnarraymasterstrutsave% save current master strut values
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax%
-   \lineskiplimit=0pt\relax%
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\IEEEnormaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   % the default end glues are zero for an \IEEEeqnarraybox
-   \edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPzero}% default start glue
-   \edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPzero}% default end glue
-   \edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-   \@advanceIEEEeqncolcntfalse% do not advance the col counter for each col the user uses, 
-                              % used in \IEEEeqnarraymulticol and in the preamble build
-   \IEEEeqnarrayboxdecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarrayboxcr% replace newline with one that allows optional spacing
-   \@IEEEbuildpreamble #4\end\relax% build the preamble and put it into \@IEEEtrantmptoksA
-   % add an isolation column to the preamble to stop \\'s {} from getting into the last col
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % add the isolation column to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}% 
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the alignment
-   \everycr{}%
-   % use only the very first token to determine the positioning
-   % this stops some problems when the user uses more than one letter,
-   % but is probably not worth the effort
-   % \noindent is used as a delimiter
-   \def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-   \@IEEEgrabfirstoken#2\relax\relax\noindent
-   % \@IEEEgrabbedfirstoken has the first token, the rest are discarded
-   % if we need to put things into and hbox and go into math mode, do so now
-   \if@IEEEeqnarrayboxHBOXSW \leavevmode \hbox \bgroup $\fi%
-   % use the appropriate vbox type
-   \if\@IEEEgrabbedfirstoken t\relax\vtop\else\if\@IEEEgrabbedfirstoken c\relax%
-   \vcenter\else\vbox\fi\fi\bgroup%
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   \ifx#3\relax\halign\else\halign to #3\relax\fi%
-   \bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% carry strut status and enter the isolation/strut column, 
-% exit from math mode if needed, and exit
-\def\end@IEEEeqnarraybox{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-\@IEEEeqnarraymasterstrutrestore% restore the previous master strut values
-% reset the strut system for next IEEEeqnarray
-% (sets local strut values back to previous master strut values)
-\@IEEEeqnarraystrutreset%
-% ensure last line, exit from halign, close vbox
-\crcr\egroup\egroup%
-% exit from math mode and close hbox if needed
-\if@IEEEeqnarrayboxHBOXSW $\egroup\fi}
-
-
-
-% IEEEeqnarraybox uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% For IEEEeqnarraybox, \\* is the same as \\
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the isolation/strut column
-% carry strut status into isolation/strut column
-\def\@IEEEeqnarrayboxcr{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-% reset the strut system for next line or IEEEeqnarray
-\@IEEEeqnarraystrutreset%
-{\ifnum0=`}\fi%
-\@ifstar{\@IEEEeqnarrayboxYCR}{\@IEEEeqnarrayboxYCR}}
-
-% test and setup the optional argument to \\[]
-\def\@IEEEeqnarrayboxYCR{\@testopt\@IEEEeqnarrayboxXCR\z@skip}
-
-% IEEEeqnarraybox does not automatically increase line spacing by \jot
-\def\@IEEEeqnarrayboxXCR[#1]{\ifnum0=`{\fi}%
-\cr\noalign{\if@IEEEeqnarraystarform\else\vskip\jot\fi\vskip#1\relax}}
-
-
-
-% starts the halign preamble build
-\def\@IEEEbuildpreamble{\@IEEEtrantmptoksA={}% clear token register
-\let\@IEEEBPcurtype=u%current column type is not yet known
-\let\@IEEEBPprevtype=s%the previous column type was the start
-\let\@IEEEBPnexttype=u%next column type is not yet known
-% ensure these are valid
-\def\@IEEEBPcurglue={0pt plus 0pt minus 0pt}%
-\def\@IEEEBPcurcolname{@IEEEdefault}% name of current column definition
-% currently acquired numerically referenced glue
-% use a name that is easier to remember
-\let\@IEEEBPcurnum=\@IEEEtrantmpcountA%
-\@IEEEBPcurnum=0%
-% tracks number of columns in the preamble
-\@IEEEeqnnumcols=0%
-% record the default end glues
-\edef\@IEEEBPstartglue{\@IEEEeqnarraycolSEPdefaultstart}%
-\edef\@IEEEBPendglue{\@IEEEeqnarraycolSEPdefaultend}%
-% now parse the user's column specifications
-\@@IEEEbuildpreamble}
-
-
-% parses and builds the halign preamble
-\def\@@IEEEbuildpreamble#1#2{\let\@@nextIEEEbuildpreamble=\@@IEEEbuildpreamble%
-% use only the very first token to check the end
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-\ifx\@IEEEgrabbedfirstoken\end\let\@@nextIEEEbuildpreamble=\@@IEEEfinishpreamble\else%
-% identify current and next token type
-\@IEEEgetcoltype{#1}{\@IEEEBPcurtype}{1}% current, error on invalid
-\@IEEEgetcoltype{#2}{\@IEEEBPnexttype}{0}% next, no error on invalid next
-% if curtype is a glue, get the glue def
-\if\@IEEEBPcurtype g\@IEEEgetcurglue{#1}{\@IEEEBPcurglue}\fi%
-% if curtype is a column, get the column def and set the current column name
-\if\@IEEEBPcurtype c\@IEEEgetcurcol{#1}\fi%
-% if curtype is a numeral, acquire the user defined glue
-\if\@IEEEBPcurtype n\@IEEEprocessNcol{#1}\fi%
-% process the acquired glue 
-\if\@IEEEBPcurtype g\@IEEEprocessGcol\fi%
-% process the acquired col 
-\if\@IEEEBPcurtype c\@IEEEprocessCcol\fi%
-% ready prevtype for next col spec.
-\let\@IEEEBPprevtype=\@IEEEBPcurtype%
-% be sure and put back the future token(s) as a group
-\fi\@@nextIEEEbuildpreamble{#2}}
-
-
-% executed just after preamble build is completed
-% warn about zero cols, and if prevtype type = u, put in end tabskip glue
-\def\@@IEEEfinishpreamble#1{\ifnum\@IEEEeqnnumcols<1\relax
-\@IEEEclspkgerror{No column specifiers declared for IEEEeqnarray}%
-{At least one column type must be declared for each IEEEeqnarray.}%
-\fi%num cols less than 1
-%if last type undefined, set default end tabskip glue
-\if\@IEEEBPprevtype u\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue}\fi}
-
-
-% Identify and return the column specifier's type code
-\def\@IEEEgetcoltype#1#2#3{%
-% use only the very first token to determine the type
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% \@IEEEgrabfirstoken has the first token, the rest are discarded
-% n = number
-% g = glue (any other char in catagory 12)
-% c = letter
-% e = \end
-% u = undefined
-% third argument: 0 = no error message, 1 = error on invalid char
-\let#2=u\relax% assume invalid until know otherwise
-\ifx\@IEEEgrabbedfirstoken\end\let#2=e\else
-\ifcat\@IEEEgrabbedfirstoken\relax\else% screen out control sequences
-\if0\@IEEEgrabbedfirstoken\let#2=n\else
-\if1\@IEEEgrabbedfirstoken\let#2=n\else
-\if2\@IEEEgrabbedfirstoken\let#2=n\else
-\if3\@IEEEgrabbedfirstoken\let#2=n\else
-\if4\@IEEEgrabbedfirstoken\let#2=n\else
-\if5\@IEEEgrabbedfirstoken\let#2=n\else
-\if6\@IEEEgrabbedfirstoken\let#2=n\else
-\if7\@IEEEgrabbedfirstoken\let#2=n\else
-\if8\@IEEEgrabbedfirstoken\let#2=n\else
-\if9\@IEEEgrabbedfirstoken\let#2=n\else
-\ifcat,\@IEEEgrabbedfirstoken\let#2=g\relax
-\else\ifcat a\@IEEEgrabbedfirstoken\let#2=c\relax\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-\if#2u\relax
-\if0\noexpand#3\relax\else\@IEEEclspkgerror{Invalid character in column specifications}%
-{Only letters, numerals and certain other symbols are allowed \MessageBreak
-as IEEEeqnarray column specifiers.}\fi\fi}
-
-
-% identify the current letter referenced column
-% if invalid, use a default column
-\def\@IEEEgetcurcol#1{\expandafter\ifx\csname @IEEEeqnarraycolDEF#1\endcsname\@IEEEeqnarraycolisdefined%
-\def\@IEEEBPcurcolname{#1}\else% invalid column name
-\@IEEEclspkgerror{Invalid column type "#1" in column specifications.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\def\@IEEEBPcurcolname{@IEEEdefault}\fi}
-
-
-% identify and return the predefined (punctuation) glue value
-\def\@IEEEgetcurglue#1#2{%
-% ! = \! (neg small)  -0.16667em (-3/18 em)
-% , = \, (small)       0.16667em ( 3/18 em)
-% : = \: (med)         0.22222em ( 4/18 em)
-% ; = \; (large)       0.27778em ( 5/18 em)
-% ' = \quad            1em
-% " = \qquad           2em
-% . = 0.5\arraycolsep
-% / = \arraycolsep
-% ? = 2\arraycolsep
-% * = 1fil
-% + = \@IEEEeqnarraycolSEPcenter
-% - = \@IEEEeqnarraycolSEPzero
-% Note that all em values are referenced to the math font (textfont2) fontdimen6
-% value for 1em.
-% 
-% use only the very first token to determine the type
-% this prevents errant tokens from getting in the main text
-% \noindent is used as a delimiter here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% get the math font 1em value
-% LaTeX2e's NFSS2 does not preload the fonts, but \IEEEeqnarray needs
-% to gain access to the math (\textfont2) font's spacing parameters.
-% So we create a bogus box here that uses the math font to ensure
-% that \textfont2 is loaded and ready. If this is not done,
-% the \textfont2 stuff here may not work.
-% Thanks to Bernd Raichle for his 1997 post on this topic.
-{\setbox0=\hbox{$\displaystyle\relax$}}%
-% fontdimen6 has the width of 1em (a quad).
-\@IEEEtrantmpdimenA=\fontdimen6\textfont2\relax%
-% identify the glue value based on the first token
-% we discard anything after the first
-\if!\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if,\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if:\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if;\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if'\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if"\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if.\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if/\@IEEEgrabbedfirstoken\edef#2{\the\arraycolsep}\else
-\if?\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if *\@IEEEgrabbedfirstoken\edef#2{0pt plus 1fil minus 0pt}\else
-\if+\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else
-\if-\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPzero}\else
-\edef#2{\@IEEEeqnarraycolSEPzero}%
-\@IEEEclspkgerror{Invalid predefined inter-column glue type "#1" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{Only !,:;'"./?*+ and - are valid predefined glue types in the\MessageBreak 
-IEEEeqnarray column specifications.}\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
-
-
-
-% process a numerical digit from the column specification
-% and look up the corresponding user defined glue value
-% can transform current type from n to g or a as the user defined glue is acquired
-\def\@IEEEprocessNcol#1{\if\@IEEEBPprevtype g%
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak 
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue, future digits will be discarded
-\@IEEEBPcurnum=0\relax%
-\else% if we previously aborted a glue
-\if\@IEEEBPprevtype a\@IEEEBPcurnum=0\let\@IEEEBPcurtype=a%maintain digit abortion
-\else%acquire this number
-% save the previous type before the numerical digits started
-\if\@IEEEBPprevtype n\else\let\@IEEEBPprevsavedtype=\@IEEEBPprevtype\fi%
-\multiply\@IEEEBPcurnum by 10\relax%
-\advance\@IEEEBPcurnum by #1\relax% add in number, \relax is needed to stop TeX's number scan
-\if\@IEEEBPnexttype n\else%close acquisition
-\expandafter\ifx\csname @IEEEeqnarraycolSEPDEF\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname\@IEEEeqnarraycolisdefined%
-\edef\@IEEEBPcurglue{\csname @IEEEeqnarraycolSEP\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname}%
-\else%user glue not defined
-\@IEEEclspkgerror{Invalid user defined inter-column glue type "\number\@IEEEBPcurnum" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{You must define all IEEEeqnarray numerical inter-column glue types via\MessageBreak
-\string\IEEEeqnarraydefcolsep \space before they are used in column specifications.}%
-\edef\@IEEEBPcurglue{\@IEEEeqnarraycolSEPzero}%
-\fi% glue defined or not
-\let\@IEEEBPcurtype=g% change the type to reflect the acquired glue
-\let\@IEEEBPprevtype=\@IEEEBPprevsavedtype% restore the prev type before this number glue
-\@IEEEBPcurnum=0\relax%ready for next acquisition
-\fi%close acquisition, get glue
-\fi%discard or acquire number
-\fi%prevtype glue or not
-}
-
-
-% process an acquired glue
-% add any acquired column/glue pair to the preamble
-\def\@IEEEprocessGcol{\if\@IEEEBPprevtype a\let\@IEEEBPcurtype=a%maintain previous glue abortions
-\else
-% if this is the start glue, save it, but do nothing else 
-% as this is not used in the preamble, but before
-\if\@IEEEBPprevtype s\edef\@IEEEBPstartglue{\@IEEEBPcurglue}%
-\else%not the start glue
-\if\@IEEEBPprevtype g%ignore if back to back glues
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak 
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\else% not a back to back glue
-\if\@IEEEBPprevtype c\relax% if the previoustype was a col, add column/glue pair to preamble
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column defintion into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendtoksA{\tabskip=\@IEEEBPcurglue}%
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\else% error: non-start glue with no pending column
-\@IEEEclspkgerror{Inter-column glue specifier without a prior column\MessageBreak
-type in the column specifications. Ignoring this glue\MessageBreak 
-specifier}%
-{Except for the first and last positions, glue can be placed only\MessageBreak
-between column types.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\fi% previous was a column
-\fi% back-to-back glues
-\fi% is start column glue
-\fi% prev type not a
-}
-
-
-% process an acquired letter referenced column and, if necessary, add it to the preamble
-\def\@IEEEprocessCcol{\if\@IEEEBPnexttype g\else
-\if\@IEEEBPnexttype n\else
-% we have a column followed by something other than a glue (or numeral glue)
-% so we must add this column to the preamble now
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi%col separator for those after the first
-\if\@IEEEBPnexttype e\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue\relax}\else%put in end glue
-\@IEEEappendtoksA{\tabskip=\@IEEEeqnarraycolSEPdefaultmid\relax}\fi% or default mid glue
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column definition into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\fi%next type not numeral
-\fi%next type not glue
-}
-
-
-%%
-%% END OF IEEEeqnarry DEFINITIONS
-%%
-
-
-
-
-% set up the running headings, this complex because of all the different
-% modes IEEEtran supports
-\if@twoside
- \ifCLASSOPTIONtechnote
-   \def\ps@headings{%
-       \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-       \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \ifCLASSOPTIONdraftcls
-            \ifCLASSOPTIONdraftclsnofoot
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \else
-               \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
-               \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}
-       \fi}
- \else % not a technote
-   \def\ps@headings{%
-       \ifCLASSOPTIONconference
-        \def\@oddhead{}
-        \def\@evenhead{}
-       \else
-        \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
-        \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \fi
-       \ifCLASSOPTIONdraftcls
-            \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
-            \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-            \ifCLASSOPTIONdraftclsnofoot
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \else
-               \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
-               \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}%
-       \fi}
- \fi
-\else % single side
-\def\ps@headings{%
-    \ifCLASSOPTIONconference
-     \def\@oddhead{}
-     \def\@evenhead{}
-    \else
-     \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-     \def\@evenhead{}
-    \fi
-    \ifCLASSOPTIONdraftcls
-          \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-          \def\@evenhead{}
-          \ifCLASSOPTIONdraftclsnofoot
-             \def\@oddfoot{}
-          \else
-             \def\@oddfoot{\scriptsize \@date \hfil DRAFT}
-          \fi
-    \else
-         \def\@oddfoot{}
-    \fi
-    \def\@evenfoot{}}
-\fi
-
-
-% title page style
-\def\ps@IEEEtitlepagestyle{\def\@oddfoot{}\def\@evenfoot{}%
-\ifCLASSOPTIONconference
-   \def\@oddhead{}%
-   \def\@evenhead{}%
-\else
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-\fi
-\ifCLASSOPTIONdraftcls
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-   \ifCLASSOPTIONdraftclsnofoot\else
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
-\else
-   % all non-draft mode footers
-   \if@IEEEusingpubid
-      % for title pages that are using a pubid
-      % do not repeat pubid if using peer review option
-      \ifCLASSOPTIONpeerreview
-      \else
-         \footskip 0pt%
-         \ifCLASSOPTIONcompsoc
-           \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-           \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-         \else
-           \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-           \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-         \fi
-      \fi
-   \fi
-\fi}
-
-
-% peer review cover page style
-\def\ps@IEEEpeerreviewcoverpagestyle{%
-\def\@oddhead{}\def\@evenhead{}%
-\def\@oddfoot{}\def\@evenfoot{}%
-\ifCLASSOPTIONdraftcls
-   \ifCLASSOPTIONdraftclsnofoot\else
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
-\else
-   % non-draft mode footers
-   \if@IEEEusingpubid
-      \footskip 0pt%
-      \ifCLASSOPTIONcompsoc
-        \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-        \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%
-      \else
-        \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-        \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%
-      \fi
-   \fi
-\fi}
-
-
-% start with empty headings
-\def\rightmark{}\def\leftmark{}
-
-
-%% Defines the command for putting the header. \footernote{TEXT} is the same
-%% as \markboth{TEXT}{TEXT}. 
-%% Note that all the text is forced into uppercase, if you have some text
-%% that needs to be in lower case, for instance et. al., then either manually
-%% set \leftmark and \rightmark or use \MakeLowercase{et. al.} within the
-%% arguments to \markboth.
-\def\markboth#1#2{\def\leftmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#1}}%
-\def\rightmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#2}}}
-\def\footernote#1{\markboth{#1}{#1}}
-
-\def\today{\ifcase\month\or
-    January\or February\or March\or April\or May\or June\or
-    July\or August\or September\or October\or November\or December\fi
-    \space\number\day, \number\year}
-
-
-
-
-%% CITATION AND BIBLIOGRAPHY COMMANDS
-%% 
-%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff
-% 
-% 
-% Modify Latex2e \@citex to separate citations with "], ["
-\def\@citex[#1]#2{%
-  \let\@citea\@empty
-  \@cite{\@for\@citeb:=#2\do
-    {\@citea\def\@citea{], [}%
-     \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}%
-     \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
-     \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}%
-       \G@refundefinedtrue
-       \@latex@warning
-         {Citation `\@citeb' on page \thepage \space undefined}}%
-       {\hbox{\csname b@\@citeb\endcsname}}}}{#1}}
-
-% V1.6 we create hooks for the optional use of Donald Arseneau's
-% cite.sty package. cite.sty is "smart" and will notice that the
-% following format controls are already defined and will not
-% redefine them. The result will be the proper sorting of the
-% citation numbers and auto detection of 3 or more entry "ranges" -
-% all in IEEE style:  [1], [2], [5]--[7], [12]
-% This also allows for an optional note, i.e., \cite[mynote]{..}.
-% If the \cite with note has more than one reference, the note will
-% be applied to the last of the listed references. It is generally
-% desired that if a note is given, only one reference is listed in
-% that \cite.
-% Thanks to Mr. Arseneau for providing the required format arguments
-% to produce the IEEE style.
-\def\citepunct{], [}
-\def\citedash{]--[}
-
-% V1.7 default to using same font for urls made by url.sty
-\AtBeginDocument{\csname url@samestyle\endcsname}
-
-% V1.6 class files should always provide these
-\def\newblock{\hskip .11em\@plus.33em\@minus.07em}
-\let\@openbib@code\@empty
-
-
-% Provide support for the control entries of IEEEtran.bst V1.00 and later.
-% V1.7 optional argument allows for a different aux file to be specified in
-% order to handle multiple bibliographies. For example, with multibib.sty:
-% \newcites{sec}{Secondary Literature}
-% \bstctlcite[@auxoutsec]{BSTcontrolhak}
-\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}
-\def\@bstctlcite[#1]#2{\@bsphack
-  \@for\@citeb:=#2\do{%
-    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%
-  \@esphack}
-
-% V1.6 provide a way for a user to execute a command just before 
-% a given reference number - used to insert a \newpage to balance
-% the columns on the last page
-\edef\@IEEEtriggerrefnum{0}   % the default of zero means that
-                              % the command is not executed
-\def\@IEEEtriggercmd{\newpage}
-
-% allow the user to alter the triggered command
-\long\def\IEEEtriggercmd#1{\long\def\@IEEEtriggercmd{#1}}
-
-% allow user a way to specify the reference number just before the
-% command is executed
-\def\IEEEtriggeratref#1{\@IEEEtrantmpcountA=#1%
-\edef\@IEEEtriggerrefnum{\the\@IEEEtrantmpcountA}}%
-
-% trigger command at the given reference
-\def\@IEEEbibitemprefix{\@IEEEtrantmpcountA=\@IEEEtriggerrefnum\relax%
-\advance\@IEEEtrantmpcountA by -1\relax%
-\ifnum\c@enumiv=\@IEEEtrantmpcountA\relax\@IEEEtriggercmd\relax\fi}
-
-
-\def\@biblabel#1{[#1]}
-
-% compsoc journals left align the reference numbers
-\@IEEEcompsocnotconfonly{\def\@biblabel#1{[#1]\hfill}}
-
-% controls bib item spacing
-\def\IEEEbibitemsep{2.5pt plus .5pt}
-
-\@IEEEcompsocconfonly{\def\IEEEbibitemsep{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}}
-
-
-\def\thebibliography#1{\section*{\refname}%
-    \addcontentsline{toc}{section}{\refname}%
-    % V1.6 add some rubber space here and provide a command trigger
-    \footnotesize\@IEEEcompsocconfonly{\small}\vskip 0.3\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip%
-    \list{\@biblabel{\@arabic\c@enumiv}}%
-    {\settowidth\labelwidth{\@biblabel{#1}}%
-    \leftmargin\labelwidth
-    \labelsep 1em
-    \advance\leftmargin\labelsep\relax
-    \itemsep \IEEEbibitemsep\relax
-    \usecounter{enumiv}%
-    \let\p@enumiv\@empty
-    \renewcommand\theenumiv{\@arabic\c@enumiv}}%
-    \let\@IEEElatexbibitem\bibitem%
-    \def\bibitem{\@IEEEbibitemprefix\@IEEElatexbibitem}%
-\def\newblock{\hskip .11em plus .33em minus .07em}%
-% originally:
-%   \sloppy\clubpenalty4000\widowpenalty4000%
-% by adding the \interlinepenalty here, we make it more
-% difficult, but not impossible, for LaTeX to break within a reference.
-% IEEE almost never breaks a reference (but they do it more often with
-% technotes). You may get an underfull vbox warning around the bibliography, 
-% but the final result will be much more like what IEEE will publish. 
-% MDS 11/2000
-\ifCLASSOPTIONtechnote\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty100%
-\else\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty500\fi%
-    \sfcode`\.=1000\relax}
-\let\endthebibliography=\endlist
-
-
-
-
-% TITLE PAGE COMMANDS
-% 
-% 
-% \IEEEmembership is used to produce the sublargesize italic font used to indicate author 
-% IEEE membership. compsoc uses a large size sans slant font
-\def\IEEEmembership#1{{\@IEEEnotcompsoconly{\sublargesize}\normalfont\@IEEEcompsoconly{\sffamily}\textit{#1}}}
- 
-
-% \IEEEauthorrefmark{} produces a footnote type symbol to indicate author affiliation.
-% When given an argument of 1 to 9, \IEEEauthorrefmark{} follows the standard LaTeX footnote
-% symbol sequence convention. However, for arguments 10 and above, \IEEEauthorrefmark{} 
-% reverts to using lower case roman numerals, so it cannot overflow. Do note that you 
-% cannot use \footnotemark[] in place of \IEEEauthorrefmark{} within \author as the footnote
-% symbols will have been turned off to prevent \thanks from creating footnote marks.
-% \IEEEauthorrefmark{} produces a symbol that appears to LaTeX as having zero vertical
-% height - this allows for a more compact line packing, but the user must ensure that
-% the interline spacing is large enough to prevent \IEEEauthorrefmark{} from colliding
-% with the text above.
-% V1.7 make this a robust command
-\DeclareRobustCommand*{\IEEEauthorrefmark}[1]{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or%
-    \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger%
-    \or \ddagger\ddagger \else\textsuperscript{\expandafter\romannumeral#1}\fi}}}}
-
-
-% FONT CONTROLS AND SPACINGS FOR CONFERENCE MODE AUTHOR NAME AND AFFILIATION BLOCKS
-% 
-% The default font styles for the author name and affiliation blocks (confmode)
-\def\@IEEEauthorblockNstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize\@IEEEcompsocconfonly{\large}}
-\def\@IEEEauthorblockAstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\@IEEEcompsocconfonly{\itshape}\normalsize\@IEEEcompsocconfonly{\large}}
-% The default if the user does not use an author block
-\def\@IEEEauthordefaulttextstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize}
-
-% spacing from title (or special paper notice) to author name blocks (confmode)
-% can be negative
-\def\@IEEEauthorblockconfadjspace{-0.25em}
-% compsoc conferences need more space here
-\@IEEEcompsocconfonly{\def\@IEEEauthorblockconfadjspace{0.75\@IEEEnormalsizeunitybaselineskip}}
-\ifCLASSOPTIONconference\def\@IEEEauthorblockconfadjspace{20pt}\fi
-
-% spacing between name and affiliation blocks (confmode)
-% This can be negative.
-% IEEE doesn't want any added spacing here, but I will leave these
-% controls in place in case they ever change their mind.
-% Personally, I like 0.75ex.
-%\def\@IEEEauthorblockNtopspace{0.75ex}
-%\def\@IEEEauthorblockAtopspace{0.75ex}
-\def\@IEEEauthorblockNtopspace{0.0ex}
-\def\@IEEEauthorblockAtopspace{0.0ex}
-% baseline spacing within name and affiliation blocks (confmode)
-% must be positive, spacings below certain values will make 
-% the position of line of text sensitive to the contents of the
-% line above it i.e., whether or not the prior line has descenders, 
-% subscripts, etc. For this reason it is a good idea to keep
-% these above 2.6ex
-\def\@IEEEauthorblockNinterlinespace{2.6ex}
-\def\@IEEEauthorblockAinterlinespace{2.75ex}
-
-% This tracks the required strut size.
-% See the \@IEEEauthorhalign command for the actual default value used.
-\def\@IEEEauthorblockXinterlinespace{2.7ex}
-
-% variables to retain font size and style across groups
-% values given here have no effect as they will be overwritten later
-\gdef\@IEEESAVESTATEfontsize{10}
-\gdef\@IEEESAVESTATEfontbaselineskip{12}
-\gdef\@IEEESAVESTATEfontencoding{OT1}
-\gdef\@IEEESAVESTATEfontfamily{ptm}
-\gdef\@IEEESAVESTATEfontseries{m}
-\gdef\@IEEESAVESTATEfontshape{n}
-
-% saves the current font attributes
-\def\@IEEEcurfontSAVE{\global\let\@IEEESAVESTATEfontsize\f@size%
-\global\let\@IEEESAVESTATEfontbaselineskip\f@baselineskip%
-\global\let\@IEEESAVESTATEfontencoding\f@encoding%
-\global\let\@IEEESAVESTATEfontfamily\f@family%
-\global\let\@IEEESAVESTATEfontseries\f@series%
-\global\let\@IEEESAVESTATEfontshape\f@shape}
-
-% restores the saved font attributes
-\def\@IEEEcurfontRESTORE{\fontsize{\@IEEESAVESTATEfontsize}{\@IEEESAVESTATEfontbaselineskip}%
-\fontencoding{\@IEEESAVESTATEfontencoding}%
-\fontfamily{\@IEEESAVESTATEfontfamily}%
-\fontseries{\@IEEESAVESTATEfontseries}%
-\fontshape{\@IEEESAVESTATEfontshape}%
-\selectfont}
-
-
-% variable to indicate if the current block is the first block in the column
-\newif\if@IEEEprevauthorblockincol   \@IEEEprevauthorblockincolfalse
-
-
-% the command places a strut with height and depth = \@IEEEauthorblockXinterlinespace
-% we use this technique to have complete manual control over the spacing of the lines
-% within the halign environment.
-% We set the below baseline portion at 30%, the above
-% baseline portion at 70% of the total length.
-% Responds to changes in the document's \baselinestretch
-\def\@IEEEauthorstrutrule{\@IEEEtrantmpdimenA\@IEEEauthorblockXinterlinespace%
-\@IEEEtrantmpdimenA=\baselinestretch\@IEEEtrantmpdimenA%
-\rule[-0.3\@IEEEtrantmpdimenA]{0pt}{\@IEEEtrantmpdimenA}}
-
-
-% blocks to hold the authors' names and affilations. 
-% Makes formatting easy for conferences
-%
-% use real definitions in conference mode
-% name block
-\def\IEEEauthorblockN#1{\relax\@IEEEauthorblockNstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}% disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockNtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockNinterlinespace}%
-% input the author names
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for names
-\def\@IEEEauthorblockNtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockNtopspace}}
-%
-% affiliation block
-\def\IEEEauthorblockA#1{\relax\@IEEEauthorblockAstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}%disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockAtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockAinterlinespace}%
-% input the author affiliations
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for affiliations
-\def\@IEEEauthorblockAtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockAtopspace}}
-
-
-% allow papers to compile even if author blocks are used in modes other
-% than conference or peerreviewca. For such cases, we provide dummy blocks.
-\ifCLASSOPTIONconference
-\else
-   \ifCLASSOPTIONpeerreviewca\else
-      % not conference or peerreviewca mode
-      \def\IEEEauthorblockN#1{#1}%
-      \def\IEEEauthorblockA#1{#1}%
-   \fi
-\fi
-
-
-
-% we provide our own halign so as not to have to depend on tabular
-\def\@IEEEauthorhalign{\@IEEEauthordefaulttextstyle% default text style
-   \lineskip=0pt\relax% disable line spacing
-   \lineskiplimit=0pt\relax%
-   \baselineskip=0pt\relax%
-   \@IEEEcurfontSAVE% save the current font
-   \mathsurround\z@\relax% no extra spacing around math
-   \let\\\@IEEEauthorhaligncr% replace newline with halign friendly one
-   \tabskip=0pt\relax% no column spacing
-   \everycr{}% ensure no problems here
-   \@IEEEprevauthorblockincolfalse% no author blocks yet
-   \def\@IEEEauthorblockXinterlinespace{2.7ex}% default interline space
-   \vtop\bgroup%vtop box
-   \halign\bgroup&\relax\hfil\@IEEEcurfontRESTORE\relax ##\relax
-   \hfil\@IEEEcurfontSAVE\@IEEEauthorstrutrule\cr}
-
-% ensure last line, exit from halign, close vbox
-\def\end@IEEEauthorhalign{\crcr\egroup\egroup}
-
-% handle bogus star form
-\def\@IEEEauthorhaligncr{{\ifnum0=`}\fi\@ifstar{\@@IEEEauthorhaligncr}{\@@IEEEauthorhaligncr}}
-
-% test and setup the optional argument to \\[]
-\def\@@IEEEauthorhaligncr{\@testopt\@@@IEEEauthorhaligncr\z@skip}
-
-% end the line and do the optional spacer
-\def\@@@IEEEauthorhaligncr[#1]{\ifnum0=`{\fi}\cr\noalign{\vskip#1\relax}}
-
-
-
-% flag to prevent multiple \and warning messages
-\newif\if@IEEEWARNand
-\@IEEEWARNandtrue
-
-% if in conference or peerreviewca modes, we support the use of \and as \author is a
-% tabular environment, otherwise we warn the user that \and is invalid
-% outside of conference or peerreviewca modes.
-\def\and{\relax} % provide a bogus \and that we will then override
-
-\renewcommand{\and}[1][\relax]{\if@IEEEWARNand\typeout{** WARNING: \noexpand\and is valid only
-                               when in conference or peerreviewca}\typeout{modes (line \the\inputlineno).}\fi\global\@IEEEWARNandfalse}
-
-\ifCLASSOPTIONconference%
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-\ifCLASSOPTIONpeerreviewca
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-
-
-% page clearing command
-% based on LaTeX2e's \cleardoublepage, but allows different page styles
-% for the inserted blank pages
-\def\@IEEEcleardoublepage#1{\clearpage\if@twoside\ifodd\c@page\else
-\hbox{}\thispagestyle{#1}\newpage\if@twocolumn\hbox{}\thispagestyle{#1}\newpage\fi\fi\fi}
-
-
-% user command to invoke the title page
-\def\maketitle{\par%
-  \begingroup%
-  \normalfont%
-  \def\thefootnote{}%  the \thanks{} mark type is empty
-  \def\footnotemark{}% and kill space from \thanks within author
-  \let\@makefnmark\relax% V1.7, must *really* kill footnotemark to remove all \textsuperscript spacing as well.
-  \footnotesize%       equal spacing between thanks lines
-  \footnotesep 0.7\baselineskip%see global setting of \footnotesep for more info
-  % V1.7 disable \thanks note indention for compsoc
-  \@IEEEcompsoconly{\long\def\@makefntext##1{\parindent 1em\noindent\hbox{\@makefnmark}##1}}%
-  \normalsize%
-  \ifCLASSOPTIONpeerreview
-     \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \thispagestyle{IEEEpeerreviewcoverpagestyle}\@thanks%
-  \else
-     \if@twocolumn%
-        \ifCLASSOPTIONtechnote%
-           \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-        \else
-           \twocolumn[\@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext]%
-        \fi
-     \else
-        \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \fi
-     \thispagestyle{IEEEtitlepagestyle}\@thanks%
-  \fi
-  % pullup page for pubid if used.
-  \if@IEEEusingpubid
-     \enlargethispage{-\@IEEEpubidpullup}%
-  \fi 
-  \endgroup
-  \setcounter{footnote}{0}\let\maketitle\relax\let\@maketitle\relax
-  \gdef\@thanks{}%
-  % v1.6b do not clear these as we will need the title again for peer review papers
-  % \gdef\@author{}\gdef\@title{}%
-  \let\thanks\relax}
-
-
-
-% V1.7 parbox to format \@IEEEcompsoctitleabstractindextext
-\long\def\@IEEEcompsoctitleabstractindextextbox#1{\parbox{0.915\textwidth}{#1}}
-
-% formats the Title, authors names, affiliations and special paper notice
-% THIS IS A CONTROLLED SPACING COMMAND! Do not allow blank lines or unintentional
-% spaces to enter the definition - use % at the end of each line
-\def\@maketitle{\newpage
-\begingroup\centering
-\ifCLASSOPTIONtechnote% technotes
-   {\bfseries\large\@IEEEcompsoconly{\sffamily}\@title\par}\vskip 1.3em{\lineskip .5em\@IEEEcompsoconly{\sffamily}\@author
-   \@IEEEspecialpapernotice\par{\@IEEEcompsoconly{\vskip 1.5em\relax
-   \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par
-   \hfill\@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-\else% not a technote
-   \vskip0.2em{\Huge\@IEEEcompsoconly{\sffamily}\@IEEEcompsocconfonly{\normalfont\normalsize\vskip 2\@IEEEnormalsizeunitybaselineskip
-   \bfseries\Large}\@title\par}\vskip1.0em\par%
-   % V1.6 handle \author differently if in conference mode
-   \ifCLASSOPTIONconference%
-      {\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-       \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}\relax
-   \else% peerreviewca, peerreview or journal
-      \ifCLASSOPTIONpeerreviewca
-         % peerreviewca handles author names just like conference mode
-         {\@IEEEcompsoconly{\sffamily}\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-          \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par
-          {\@IEEEcompsoconly{\vskip 1.5em\relax
-           \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill
-           \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-      \else% journal or peerreview
-         {\lineskip.5em\@IEEEcompsoconly{\sffamily}\sublargesize\@author\@IEEEspecialpapernotice\par
-          {\@IEEEcompsoconly{\vskip 1.5em\relax
-           \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill
-           \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax
-      \fi
-   \fi
-\fi\par\endgroup}
-
-
-
-% V1.7 Computer Society "diamond line" which follows index terms for nonconference papers
-\def\@IEEEcompsocdiamondline{\vrule depth 0pt height 0.5pt width 4cm\hspace{7.5pt}%
-\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}%
-\hspace{7.5pt}\vrule depth 0pt height 0.5pt width 4cm\relax}
-
-% V1.7 standard LateX2e \thanks, but with \itshape under compsoc. Also make it a \long\def
-% We also need to trigger the one-shot footnote rule
-\def\@IEEEtriggeroneshotfootnoterule{\global\@IEEEenableoneshotfootnoteruletrue}
-
-
-\long\def\thanks#1{\footnotemark
-    \protected@xdef\@thanks{\@thanks
-        \protect\footnotetext[\the\c@footnote]{\@IEEEcompsoconly{\itshape
-        \protect\@IEEEtriggeroneshotfootnoterule\relax}\ignorespaces#1}}}
-\let\@thanks\@empty
-
-% V1.7 allow \author to contain \par's. This is needed to allow \thanks to contain \par.
-\long\def\author#1{\gdef\@author{#1}}
-
-
-% in addition to setting up IEEEitemize, we need to remove a baselineskip space above and
-% below it because \list's \pars introduce blank lines because of the footnote struts.
-\def\@IEEEsetupcompsocitemizelist{\def\labelitemi{$\bullet$}%
-\setlength{\IEEElabelindent}{0pt}\setlength{\parskip}{0pt}%
-\setlength{\partopsep}{0pt}\setlength{\topsep}{0.5\baselineskip}\vspace{-1\baselineskip}\relax}
-
-
-% flag for fake non-compsoc \IEEEcompsocthanksitem - prevents line break on very first item
-\newif\if@IEEEbreakcompsocthanksitem \@IEEEbreakcompsocthanksitemfalse
-
-\ifCLASSOPTIONcompsoc
-% V1.7 compsoc bullet item \thanks
-% also, we need to redefine this to destroy the argument in \@IEEEdynamictitlevspace
-\long\def\IEEEcompsocitemizethanks#1{\relax\@IEEEbreakcompsocthanksitemfalse\footnotemark
-    \protected@xdef\@thanks{\@thanks
-        \protect\footnotetext[\the\c@footnote]{\itshape\protect\@IEEEtriggeroneshotfootnoterule
-        {\let\IEEEiedlistdecl\relax\protect\begin{IEEEitemize}[\protect\@IEEEsetupcompsocitemizelist]\ignorespaces#1\relax
-        \protect\end{IEEEitemize}}\protect\vspace{-1\baselineskip}}}}
-\DeclareRobustCommand*{\IEEEcompsocthanksitem}{\item}
-\else
-% non-compsoc, allow for dual compilation via rerouting to normal \thanks
-\long\def\IEEEcompsocitemizethanks#1{\thanks{#1}}
-% redirect to "pseudo-par" \hfil\break\indent after swallowing [] from \IEEEcompsocthanksitem[]
-\DeclareRobustCommand{\IEEEcompsocthanksitem}{\@ifnextchar [{\@IEEEthanksswallowoptionalarg}%
-{\@IEEEthanksswallowoptionalarg[\relax]}}
-% be sure and break only after first item, be sure and ignore spaces after optional argument
-\def\@IEEEthanksswallowoptionalarg[#1]{\relax\if@IEEEbreakcompsocthanksitem\hfil\break
-\indent\fi\@IEEEbreakcompsocthanksitemtrue\ignorespaces}
-\fi
-
-
-% V1.6b define the \IEEEpeerreviewmaketitle as needed
-\ifCLASSOPTIONpeerreview
-\def\IEEEpeerreviewmaketitle{\@IEEEcleardoublepage{empty}%
-\ifCLASSOPTIONtwocolumn
-\twocolumn[\@IEEEpeerreviewmaketitle\@IEEEdynamictitlevspace]
-\else
-\newpage\@IEEEpeerreviewmaketitle\@IEEEstatictitlevskip
-\fi
-\thispagestyle{IEEEtitlepagestyle}}
-\else
-% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected
-\def\IEEEpeerreviewmaketitle{\relax}
-\fi
-
-% peerreview formats the repeated title like the title in journal papers.
-\def\@IEEEpeerreviewmaketitle{\begin{center}\@IEEEcompsoconly{\sffamily}%
-\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par
-\end{center}}
-
-
-
-% V1.6 
-% this is a static rubber spacer between the title/authors and the main text
-% used for single column text, or when the title appears in the first column
-% of two column text (technotes). 
-\def\@IEEEstatictitlevskip{{\normalfont\normalsize
-% adjust spacing to next text
-% v1.6b handle peer review papers
-\ifCLASSOPTIONpeerreview
-% for peer review papers, the same value is used for both title pages
-% regardless of the other paper modes
-   \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip
-\else
-   \ifCLASSOPTIONconference% conference
-      \vskip 0.6\baselineskip
-   \else%
-      \ifCLASSOPTIONtechnote% technote
-         \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%
-      \else% journal uses more space
-         \vskip 2.5\baselineskip plus 0.75\baselineskip minus 0.375\baselineskip%
-      \fi
-   \fi
-\fi}}
-
-
-% V1.6
-% This is a dynamically determined rigid spacer between the title/authors 
-% and the main text. This is used only for single column titles over two 
-% column text (most common)
-% This is bit tricky because we have to ensure that the textheight of the
-% main text is an integer multiple of \baselineskip
-% otherwise underfull vbox problems may develop in the second column of the
-% text on the titlepage
-% The possible use of \IEEEpubid must also be taken into account.
-\def\@IEEEdynamictitlevspace{{%
-    % we run within a group so that all the macros can be forgotten when we are done
-    \long\def\thanks##1{\relax}%don't allow \thanks to run when we evaluate the vbox height
-    \long\def\IEEEcompsocitemizethanks##1{\relax}%don't allow \IEEEcompsocitemizethanks to run when we evaluate the vbox height
-    \normalfont\normalsize% we declare more descriptive variable names
-    \let\@IEEEmaintextheight=\@IEEEtrantmpdimenA%height of the main text columns
-    \let\@IEEEINTmaintextheight=\@IEEEtrantmpdimenB%height of the main text columns with integer # lines
-    % set the nominal and minimum values for the title spacer
-    % the dynamic algorithm will not allow the spacer size to
-    % become less than \@IEEEMINtitlevspace - instead it will be
-    % lengthened
-    % default to journal values
-    \def\@IEEENORMtitlevspace{2.5\baselineskip}%
-    \def\@IEEEMINtitlevspace{2\baselineskip}%
-    % conferences and technotes need tighter spacing
-    \ifCLASSOPTIONconference%conference
-     \def\@IEEENORMtitlevspace{1\baselineskip}%
-     \def\@IEEEMINtitlevspace{0.75\baselineskip}%
-    \fi
-    \ifCLASSOPTIONtechnote%technote
-      \def\@IEEENORMtitlevspace{1\baselineskip}%
-      \def\@IEEEMINtitlevspace{0.75\baselineskip}%
-    \fi%
-    % get the height that the title will take up
-    \ifCLASSOPTIONpeerreview
-       \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@IEEEpeerreviewmaketitle}}%
-    \else
-       \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@maketitle}}%
-    \fi
-    \@IEEEmaintextheight=-\@IEEEmaintextheight% title takes away from maintext, so reverse sign
-    % add the height of the page textheight
-    \advance\@IEEEmaintextheight by \textheight%
-    % correct for title pages using pubid
-    \ifCLASSOPTIONpeerreview\else
-       % peerreview papers use the pubid on the cover page only.
-       % And the cover page uses a static spacer.
-       \if@IEEEusingpubid\advance\@IEEEmaintextheight by -\@IEEEpubidpullup\fi
-    \fi%
-    % subtract off the nominal value of the title bottom spacer
-    \advance\@IEEEmaintextheight by -\@IEEENORMtitlevspace%
-    % \topskip takes away some too
-    \advance\@IEEEmaintextheight by -\topskip%
-    % calculate the column height of the main text for lines
-    % now we calculate the main text height as if holding
-    % an integer number of \normalsize lines after the first
-    % and discard any excess fractional remainder
-    % we subtracted the first line, because the first line
-    % is placed \topskip into the maintext, not \baselineskip like the
-    % rest of the lines.
-    \@IEEEINTmaintextheight=\@IEEEmaintextheight%
-    \divide\@IEEEINTmaintextheight  by \baselineskip%
-    \multiply\@IEEEINTmaintextheight  by \baselineskip%
-    % now we calculate how much the title spacer height will
-    % have to be reduced from nominal (\@IEEEREDUCEmaintextheight is always
-    % a positive value) so that the maintext area will contain an integer
-    % number of normal size lines
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@IEEEINTmaintextheight and can reuse its dimen register
-    \let\@IEEEREDUCEmaintextheight=\@IEEEINTmaintextheight%
-    \advance\@IEEEREDUCEmaintextheight by -\@IEEEmaintextheight%
-    \advance\@IEEEREDUCEmaintextheight by \baselineskip%
-    % this is the calculated height of the spacer
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@IEEEmaintextheight and can reuse its dimen register
-    \let\@IEEECOMPENSATElen=\@IEEEmaintextheight%
-    \@IEEECOMPENSATElen=\@IEEENORMtitlevspace% set the nominal value
-    % we go with the reduced length if it is smaller than an increase
-    \ifdim\@IEEEREDUCEmaintextheight < 0.5\baselineskip\relax%
-     \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%
-     % if the resulting spacer is too small back out and go with an increase instead
-     \ifdim\@IEEECOMPENSATElen<\@IEEEMINtitlevspace\relax%
-      \advance\@IEEECOMPENSATElen by \baselineskip%
-     \fi%
-    \else%
-     % go with an increase because it is closer to the nominal than a decrease
-     \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%
-     \advance\@IEEECOMPENSATElen by \baselineskip%
-    \fi%
-    % set the calculated rigid spacer
-    \vspace{\@IEEECOMPENSATElen}}}
-
-
-
-% V1.6
-% we allow the user access to the last part of the title area
-% useful in emergencies such as when a different spacing is needed
-% This text is NOT compensated for in the dynamic sizer.
-\let\@IEEEaftertitletext=\relax
-\long\def\IEEEaftertitletext#1{\def\@IEEEaftertitletext{#1}}
-
-% V1.7 provide a way for users to enter abstract and keywords
-% into the onecolumn title are. This text is compensated for
-% in the dynamic sizer.
-\let\@IEEEcompsoctitleabstractindextext=\relax
-\long\def\IEEEcompsoctitleabstractindextext#1{\def\@IEEEcompsoctitleabstractindextext{#1}}
-% V1.7 provide a way for users to get the \@IEEEcompsoctitleabstractindextext if
-% not in compsoc journal mode - this way abstract and keywords can be placed
-% in their conventional position if not in compsoc mode.
-\def\IEEEdisplaynotcompsoctitleabstractindextext{%
-\ifCLASSOPTIONcompsoc% display if compsoc conf
-\ifCLASSOPTIONconference\@IEEEcompsoctitleabstractindextext\fi
-\else% or if not compsoc
-\@IEEEcompsoctitleabstractindextext\fi}
-
-
-% command to allow alteration of baselinestretch, but only if the current
-% baselineskip is unity. Used to tweak the compsoc abstract and keywords line spacing.
-\def\@IEEEtweakunitybaselinestretch#1{{\def\baselinestretch{1}\selectfont
-\global\@tempskipa\baselineskip}\ifnum\@tempskipa=\baselineskip%
-\def\baselinestretch{#1}\selectfont\fi\relax}
-
-
-% abstract and keywords are in \small, except 
-% for 9pt docs in which they are in \footnotesize
-% Because 9pt docs use an 8pt footnotesize, \small
-% becomes a rather awkward 8.5pt
-\def\@IEEEabskeysecsize{\small}
-\ifx\CLASSOPTIONpt\@IEEEptsizenine
- \def\@IEEEabskeysecsize{\footnotesize}
-\fi
-
-% compsoc journals use \footnotesize, compsoc conferences use normalsize
-\@IEEEcompsoconly{\def\@IEEEabskeysecsize{\footnotesize}}
-\@IEEEcompsocconfonly{\def\@IEEEabskeysecsize{\normalsize}}
-
-
-
-
-% V1.6 have abstract and keywords strip leading spaces, pars and newlines
-% so that spacing is more tightly controlled.
-\def\abstract{\normalfont
-    \if@twocolumn
-      \par\@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\abstractname}---\relax
-    \else
-      \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize
-    \fi\@IEEEgobbleleadPARNLSP}
-% V1.6 IEEE wants only 1 pica from end of abstract to introduction heading when in 
-% conference mode (the heading already has this much above it)
-\def\endabstract{\relax\ifCLASSOPTIONconference\vspace{0ex}\else\vspace{1.34ex}\fi\par\if@twocolumn\else\endquotation\fi
-    \normalfont\normalsize}
-
-\def\IEEEkeywords{\normalfont
-    \if@twocolumn
-      \@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\IEEEkeywordsname}---\relax
-    \else
-      \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize
-    \fi\itshape\@IEEEgobbleleadPARNLSP}
-\def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.5ex}\fi
-    \par\if@twocolumn\else\endquotation\fi%
-    \normalfont\normalsize}
-
-% V1.7 compsoc keywords index terms
-\ifCLASSOPTIONcompsoc
-  \ifCLASSOPTIONconference% compsoc conference
-\def\abstract{\normalfont
-      \begin{center}\@IEEEabskeysecsize\textbf{\large\abstractname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip
-      \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%
-      \par\@IEEEgobbleleadPARNLSP}
-\def\IEEEkeywords{\normalfont\vskip 1.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip
-      \begin{center}\@IEEEabskeysecsize\textbf{\large\IEEEkeywordsname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip
-      \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%
-      \par\@IEEEgobbleleadPARNLSP}
-  \else% compsoc not conference
-\def\abstract{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily
-    \if@twocolumn
-      \@IEEEabskeysecsize\noindent\textbf{\abstractname}---\relax
-    \else
-      \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-\def\IEEEkeywords{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily
-    \if@twocolumn
-      \@IEEEabskeysecsize\vskip 0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\noindent
-      \textbf{\IEEEkeywordsname}---\relax
-    \else
-      \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-  \fi
-\fi
-
-
-
-% gobbles all leading \, \\ and \par, upon finding first token that
-% is not a \ , \\ or a \par, it ceases and returns that token
-% 
-% used to strip leading \, \\ and \par from the input
-% so that such things in the beginning of an environment will not
-% affect the formatting of the text
-\long\def\@IEEEgobbleleadPARNLSP#1{\let\@IEEEswallowthistoken=0%
-\let\@IEEEgobbleleadPARNLSPtoken#1%
-\let\@IEEEgobbleleadPARtoken=\par%
-\let\@IEEEgobbleleadNLtoken=\\%
-\let\@IEEEgobbleleadSPtoken=\ %
-\def\@IEEEgobbleleadSPMACRO{\ }%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadPARtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadNLtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% a control space will come in as a macro
-% when it is the last one on a line
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPMACRO%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% if we have to swallow this token, do so and taste the next one
-% else spit it out and stop gobbling
-\ifx\@IEEEswallowthistoken 1\let\@IEEEnextgobbleleadPARNLSP=\@IEEEgobbleleadPARNLSP\else%
-\let\@IEEEnextgobbleleadPARNLSP=#1\fi%
-\@IEEEnextgobbleleadPARNLSP}%
-
-
-
-
-% TITLING OF SECTIONS
-\def\@IEEEsectpunct{:\ \,}  % Punctuation after run-in section heading  (headings which are
-                            % part of the paragraphs), need little bit more than a single space
-                            % spacing from section number to title
-% compsoc conferences use regular period/space punctuation
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
-\def\@IEEEsectpunct{.\ }
-\fi\fi
-
-\def\@seccntformat#1{\hb@xt@ 1.4em{\csname the#1dis\endcsname\hss\relax}}
-\def\@seccntformatinl#1{\hb@xt@ 1.1em{\csname the#1dis\endcsname\hss\relax}}
-\def\@seccntformatch#1{\csname the#1dis\endcsname\hskip 1em\relax}
-
-\ifCLASSOPTIONcompsoc
-% compsoc journals need extra spacing
-\ifCLASSOPTIONconference\else
-\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 1em\relax}
-\fi\fi
-
-%v1.7 put {} after #6 to allow for some types of user font control
-%and use \@@par rather than \par
-\def\@sect#1#2#3#4#5#6[#7]#8{%
-  \ifnum #2>\c@secnumdepth
-     \let\@svsec\@empty
-  \else
-     \refstepcounter{#1}%
-     % load section label and spacer into \@svsec
-     \ifnum #2=1
-        \protected@edef\@svsec{\@seccntformatch{#1}\relax}%
-     \else
-        \ifnum #2>2
-           \protected@edef\@svsec{\@seccntformatinl{#1}\relax}%
-        \else
-           \protected@edef\@svsec{\@seccntformat{#1}\relax}%
-        \fi
-     \fi
-  \fi%
-  \@tempskipa #5\relax
-  \ifdim \@tempskipa>\z@% tempskipa determines whether is treated as a high
-     \begingroup #6{\relax% or low level heading
-      \noindent % subsections are NOT indented
-       % print top level headings. \@svsec is label, #8 is heading title
-       % IEEE does not block indent the section title text, it flows like normal
-       {\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\@@par}}%
-     \endgroup
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else
-               \protect\numberline{\csname the#1\endcsname}\fi#7}%
-  \else % printout low level headings
-     % svsechd seems to swallow the trailing space, protect it with \mbox{}
-     % got rid of sectionmark stuff
-     \def\@svsechd{#6{\hskip #3\relax\@svsec #8\@IEEEsectpunct\mbox{}}%
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else
-               \protect\numberline{\csname the#1\endcsname}\fi#7}}%
-  \fi%skip down
-  \@xsect{#5}}
-
-
-% section* handler
-%v1.7 put {} after #4 to allow for some types of user font control
-%and use \@@par rather than \par
-\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
-  \ifdim \@tempskipa>\z@
-     %\begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup
-     % IEEE does not block indent the section title text, it flows like normal
-     \begingroup \noindent #4{\relax{\hskip #1}{\interlinepenalty \@M #5\@@par}}\endgroup
-  % svsechd swallows the trailing space, protect it with \mbox{}
-  \else \def\@svsechd{#4{\hskip #1\relax #5\@IEEEsectpunct\mbox{}}}\fi
-  \@xsect{#3}}
-
-
-%% SECTION heading spacing and font
-%%
-% arguments are: #1 - sectiontype name
-% (for \@sect)   #2 - section level
-%                #3 - section heading indent
-%                #4 - top separation (absolute value used, neg indicates not to indent main text)
-%                     If negative, make stretch parts negative too!
-%                #5 - (absolute value used) positive: bottom separation after heading,
-%                      negative: amount to indent main text after heading
-%                Both #4 and #5 negative means to indent main text and use negative top separation
-%                #6 - font control
-% You've got to have \normalfont\normalsize in the font specs below to prevent
-% trouble when you do something like:
-% \section{Note}{\ttfamily TT-TEXT} is known to ... 
-% IEEE sometimes REALLY stretches the area before a section
-% heading by up to about 0.5in. However, it may not be a good
-% idea to let LaTeX have quite this much rubber.
-\ifCLASSOPTIONconference%
-% IEEE wants section heading spacing to decrease for conference mode
-\def\section{\@startsection{section}{1}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{1sp}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{1sp}{\normalfont\normalsize\itshape}}%
-\else % for journals
-\def\section{\@startsection{section}{1}{\z@}{3.0ex plus 1.5ex minus 1.5ex}% V1.6 3.0ex from 3.5ex
-{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{3.5ex plus 1.5ex minus 1.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%
-\fi
-
-% for both journals and conferences
-% decided to put in a little rubber above the section, might help somebody
-\def\subsubsection{\@startsection{subsubsection}{3}{\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-
-
-% compsoc
-\ifCLASSOPTIONcompsoc
-\ifCLASSOPTIONconference
-% compsoc conference
-\def\section{\@startsection{section}{1}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\large\bfseries}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\sublargesize\bfseries}}%
-\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%
-{0ex}{\normalfont\normalsize\bfseries}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize}}%
-\else% compsoc journals
-% use negative top separation as compsoc journals do not indent paragraphs after section titles
-\def\section{\@startsection{section}{1}{\z@}{-3ex plus -2ex minus -1.5ex}%
-{0.7ex plus 1ex minus 0ex}{\normalfont\large\sffamily\bfseries\scshape}}%
-% Note that subsection and smaller may not be correct for the Computer Society,
-% I have to look up an example.
-\def\subsection{\@startsection{subsection}{2}{\z@}{-3.5ex plus -1.5ex minus -1.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\sffamily\bfseries}}%
-\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.5ex plus -1ex minus -1ex}%
-{0.5ex plus 0.5ex minus 0ex}{\normalfont\normalsize\sffamily\itshape}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{-0ex plus -0.1ex minus -0.1ex}%
-{0ex}{\normalfont\normalsize}}%
-\fi\fi
-
-
-
-
-%% ENVIRONMENTS
-% "box" symbols at end of proofs
-\def\IEEEQEDclosed{\mbox{\rule[0pt]{1.3ex}{1.3ex}}} % for a filled box
-% V1.6 some journals use an open box instead that will just fit around a closed one
-\def\IEEEQEDopen{{\setlength{\fboxsep}{0pt}\setlength{\fboxrule}{0.2pt}\fbox{\rule[0pt]{0pt}{1.3ex}\rule[0pt]{1.3ex}{0pt}}}}
-\ifCLASSOPTIONcompsoc
-\def\IEEEQED{\IEEEQEDopen}   % default to open for compsoc
-\else
-\def\IEEEQED{\IEEEQEDclosed} % otherwise default to closed
-\fi
-
-% v1.7 name change to avoid namespace collision with amsthm. Also add support
-% for an optional argument.
-\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}
-\def\@IEEEproof[#1]{\par\noindent\hspace{2em}{\itshape #1: }}
-\def\endIEEEproof{\hspace*{\fill}~\IEEEQED\par}
-
-
-%\itemindent is set to \z@ by list, so define new temporary variable
-\newdimen\@IEEEtmpitemindent
-\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily\trivlist%
-    \item[\hskip \labelsep{\indent\itshape #1\ #2:}]\itemindent\@IEEEtmpitemindent}
-\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily \trivlist%
-% V1.6 IEEE is back to using () around theorem names which are also in italics
-% Thanks to Christian Peel for reporting this.
-    \item[\hskip\labelsep{\indent\itshape #1\ #2\ (#3):}]\itemindent\@IEEEtmpitemindent}
-% V1.7 remove bogus \unskip that caused equations in theorems to collide with
-% lines below.
-\def\@endtheorem{\endtrivlist}
-
-% V1.6
-% display command for the section the theorem is in - so that \thesection
-% is not used as this will be in Roman numerals when we want arabic.
-% LaTeX2e uses \def\@thmcounter#1{\noexpand\arabic{#1}} for the theorem number
-% (second part) display and \def\@thmcountersep{.} as a separator.
-% V1.7 intercept calls to the section counter and reroute to \@IEEEthmcounterinsection
-% to allow \appendix(ices} to override as needed.
-%
-% special handler for sections, allows appendix(ices) to override
-\gdef\@IEEEthmcounterinsection#1{\arabic{#1}}
-% string macro
-\edef\@IEEEstringsection{section}
-
-% redefine the #1#2[#3] form of newtheorem to use a hook to \@IEEEthmcounterinsection
-% if section in_counter is used
-\def\@xnthm#1#2[#3]{%
-  \expandafter\@ifdefinable\csname #1\endcsname
-    {\@definecounter{#1}\@newctr{#1}[#3]%
-     \edef\@IEEEstringtmp{#3}
-     \ifx\@IEEEstringtmp\@IEEEstringsection
-     \expandafter\xdef\csname the#1\endcsname{%
-     \noexpand\@IEEEthmcounterinsection{#3}\@thmcountersep
-          \@thmcounter{#1}}%
-     \else
-     \expandafter\xdef\csname the#1\endcsname{%
-       \expandafter\noexpand\csname the#3\endcsname \@thmcountersep
-          \@thmcounter{#1}}%
-     \fi
-     \global\@namedef{#1}{\@thm{#1}{#2}}%
-     \global\@namedef{end#1}{\@endtheorem}}}
-
-
-
-%% SET UP THE DEFAULT PAGESTYLE
-\ps@headings
-\pagenumbering{arabic}
-
-% normally the page counter starts at 1
-\setcounter{page}{1}
-% however, for peerreview the cover sheet is page 0 or page -1
-% (for duplex printing)
-\ifCLASSOPTIONpeerreview
-   \if@twoside
-      \setcounter{page}{-1}
-   \else
-      \setcounter{page}{0}
-   \fi
-\fi
-
-% standard book class behavior - let bottom line float up and down as
-% needed when single sided
-\ifCLASSOPTIONtwoside\else\raggedbottom\fi
-% if two column - turn on twocolumn, allow word spacings to stretch more and
-% enforce a rigid position for the last lines
-\ifCLASSOPTIONtwocolumn
-% the peer review option delays invoking twocolumn
-   \ifCLASSOPTIONpeerreview\else
-      \twocolumn
-   \fi
-\sloppy 
-\flushbottom
-\fi
-
-
-
-
-% \APPENDIX and \APPENDICES definitions
-
-% This is the \@ifmtarg command from the LaTeX ifmtarg package
-% by Peter Wilson (CUA) and Donald Arseneau
-% \@ifmtarg is used to determine if an argument to a command
-% is present or not.
-% For instance:
-% \@ifmtarg{#1}{\typeout{empty}}{\typeout{has something}}
-% \@ifmtarg is used with our redefined \section command if
-% \appendices is invoked.
-% The command \section will behave slightly differently depending
-% on whether the user specifies a title: 
-% \section{My appendix title}
-% or not:
-% \section{}
-% This way, we can eliminate the blank lines where the title
-% would be, and the unneeded : after Appendix in the table of
-% contents 
-\begingroup
-\catcode`\Q=3
-\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}
-\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4}
-\endgroup
-% end of \@ifmtarg defs
-
-
-% V1.7
-% command that allows the one time saving of the original definition
-% of section to \@IEEEappendixsavesection for \appendix or \appendices 
-% we don't save \section here as it may be redefined later by other
-% packages (hyperref.sty, etc.)
-\def\@IEEEsaveoriginalsectiononce{\let\@IEEEappendixsavesection\section
-\let\@IEEEsaveoriginalsectiononce\relax}
-
-% neat trick to grab and process the argument from \section{argument}
-% we process differently if the user invoked \section{} with no
-% argument (title)
-% note we reroute the call to the old \section*
-\def\@IEEEprocessthesectionargument#1{%
-\@ifmtarg{#1}{%
-\@IEEEappendixsavesection*{\appendixname~\thesectiondis}%
-\addcontentsline{toc}{section}{\appendixname~\thesection}}{%
-\@IEEEappendixsavesection*{\appendixname~\thesectiondis \\* #1}%
-\addcontentsline{toc}{section}{\appendixname~\thesection: #1}}}
-
-% we use this if the user calls \section{} after
-% \appendix-- which has no meaning. So, we ignore the
-% command and its argument. Then, warn the user.
-\def\@IEEEdestroythesectionargument#1{\typeout{** WARNING: Ignoring useless
-\protect\section\space in Appendix (line \the\inputlineno).}}
-
-
-% remember \thesection forms will be displayed in \ref calls
-% and in the Table of Contents.
-% The \sectiondis form is used in the actual heading itself
-
-% appendix command for one single appendix
-% normally has no heading. However, if you want a 
-% heading, you can do so via the optional argument:
-% \appendix[Optional Heading]
-\def\appendix{\relax}
-\renewcommand{\appendix}[1][]{\@IEEEsaveoriginalsectiononce\par
-    % v1.6 keep hyperref's identifiers unique
-    \gdef\theHsection{Appendix.A}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{0}%
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \gdef\thesection{A}%
-    \gdef\thesectiondis{}% 
-    \gdef\thesubsection{\Alph{subsection}}%
-    \gdef\@IEEEthmcounterinsection##1{A}
-    \refstepcounter{section}% update the \ref counter
-    \@ifmtarg{#1}{\@IEEEappendixsavesection*{\appendixname}%
-                  \addcontentsline{toc}{section}{\appendixname}}{%
-             \@IEEEappendixsavesection*{\appendixname~\\* #1}%
-             \addcontentsline{toc}{section}{\appendixname: #1}}%
-    % redefine \section command for appendix
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{%
-                    \@IEEEdestroythesectionargument}}% throw out the argument
-                                                     % of the normal form
-}
-
-
-
-% appendices command for multiple appendices
-% user then calls \section with an argument (possibly empty) to
-% declare the individual appendices
-\def\appendices{\@IEEEsaveoriginalsectiononce\par
-    % v1.6 keep hyperref's identifiers unique
-    \gdef\theHsection{Appendix.\Alph{section}}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{-1}% we want \refstepcounter to use section 0
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \ifCLASSOPTIONromanappendices%
-    \gdef\thesection{\Roman{section}}%
-    \gdef\thesectiondis{\Roman{section}}%
-    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Roman{section}.}}%
-    \gdef\@IEEEthmcounterinsection##1{A\arabic{##1}}
-    \else%
-    \gdef\thesection{\Alph{section}}%
-    \gdef\thesectiondis{\Alph{section}}%
-    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Alph{section}.}}%
-    \gdef\@IEEEthmcounterinsection##1{\Alph{##1}}
-    \fi%
-    \refstepcounter{section}% update the \ref counter
-    \setcounter{section}{0}% NEXT \section will be the FIRST appendix
-    % redefine \section command for appendices
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{% process the *-form
-                    \refstepcounter{section}% or is a new section so,
-                    \@IEEEprocessthesectionargument}}% process the argument 
-                                                 % of the normal form
-}
-
-
-
-% \IEEEPARstart
-% Definition for the big two line drop cap letter at the beginning of the
-% first paragraph of journal papers. The first argument is the first letter
-% of the first word, the second argument is the remaining letters of the
-% first word which will be rendered in upper case.
-% In V1.6 this has been completely rewritten to:
-% 
-% 1. no longer have problems when the user begins an environment
-%    within the paragraph that uses \IEEEPARstart.
-% 2. auto-detect and use the current font family
-% 3. revise handling of the space at the end of the first word so that
-%    interword glue will now work as normal.
-% 4. produce correctly aligned edges for the (two) indented lines.
-% 
-% We generalize things via control macros - playing with these is fun too.
-% 
-% V1.7 added more control macros to make it easy for IEEEtrantools.sty users
-% to change the font style.
-% 
-% the number of lines that are indented to clear it
-% may need to increase if using decenders
-\def\@IEEEPARstartDROPLINES{2}
-% minimum number of lines left on a page to allow a \@IEEEPARstart
-% Does not take into consideration rubber shrink, so it tends to
-% be overly cautious
-\def\@IEEEPARstartMINPAGELINES{2}
-% V1.7 the height of the drop cap is adjusted to match the height of this text
-% in the current font (when \IEEEPARstart is called).
-\def\@IEEEPARstartHEIGHTTEXT{T}
-% the depth the letter is lowered below the baseline
-% the height (and size) of the letter is determined by the sum
-% of this value and the height of the \@IEEEPARstartHEIGHTTEXT in the current
-% font. It is a good idea to set this value in terms of the baselineskip
-% so that it can respond to changes therein.
-\def\@IEEEPARstartDROPDEPTH{1.1\baselineskip}
-% V1.7 the font the drop cap will be rendered in,
-% can take zero or one argument.
-\def\@IEEEPARstartFONTSTYLE{\bfseries}
-% V1.7 any additional, non-font related commands needed to modify
-% the drop cap letter, can take zero or one argument.
-\def\@IEEEPARstartCAPSTYLE{\MakeUppercase}
-% V1.7 the font that will be used to render the rest of the word,
-% can take zero or one argument.
-\def\@IEEEPARstartWORDFONTSTYLE{\relax}
-% V1.7 any additional, non-font related commands needed to modify
-% the rest of the word, can take zero or one argument.
-\def\@IEEEPARstartWORDCAPSTYLE{\MakeUppercase}
-% This is the horizontal separation distance from the drop letter to the main text.
-% Lengths that depend on the font (e.g., ex, em, etc.) will be referenced
-% to the font that is active when \IEEEPARstart is called. 
-\def\@IEEEPARstartSEP{0.15em}
-% V1.7 horizontal offset applied to the left of the drop cap.
-\def\@IEEEPARstartHOFFSET{0em}
-% V1.7 Italic correction command applied at the end of the drop cap.
-\def\@IEEEPARstartITLCORRECT{\/}
-
-% V1.7 compoc uses nonbold drop cap and small caps word style
-\ifCLASSOPTIONcompsoc
-\def\@IEEEPARstartFONTSTYLE{\mdseries}
-\def\@IEEEPARstartWORDFONTSTYLE{\scshape}
-\def\@IEEEPARstartWORDCAPSTYLE{\relax}
-\fi
-
-% definition of \IEEEPARstart
-% THIS IS A CONTROLLED SPACING AREA, DO NOT ALLOW SPACES WITHIN THESE LINES
-% 
-% The token \@IEEEPARstartfont will be globally defined after the first use
-% of \IEEEPARstart and will be a font command which creates the big letter
-% The first argument is the first letter of the first word and the second
-% argument is the rest of the first word(s).
-\def\IEEEPARstart#1#2{\par{%
-% if this page does not have enough space, break it and lets start
-% on a new one
-\@IEEEtranneedspace{\@IEEEPARstartMINPAGELINES\baselineskip}{\relax}%
-% V1.7 move this up here in case user uses \textbf for \@IEEEPARstartFONTSTYLE
-% which uses command \leavevmode which causes an unwanted \indent to be issued
-\noindent
-% calculate the desired height of the big letter
-% it extends from the top of \@IEEEPARstartHEIGHTTEXT in the current font
-% down to \@IEEEPARstartDROPDEPTH below the current baseline
-\settoheight{\@IEEEtrantmpdimenA}{\@IEEEPARstartHEIGHTTEXT}%
-\addtolength{\@IEEEtrantmpdimenA}{\@IEEEPARstartDROPDEPTH}%
-% extract the name of the current font in bold
-% and place it in \@IEEEPARstartFONTNAME
-\def\@IEEEPARstartGETFIRSTWORD##1 ##2\relax{##1}%
-{\@IEEEPARstartFONTSTYLE{\selectfont\edef\@IEEEPARstartFONTNAMESPACE{\fontname\font\space}%
-\xdef\@IEEEPARstartFONTNAME{\expandafter\@IEEEPARstartGETFIRSTWORD\@IEEEPARstartFONTNAMESPACE\relax}}}%
-% define a font based on this name with a point size equal to the desired
-% height of the drop letter
-\font\@IEEEPARstartsubfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenA\relax%
-% save this value as a counter (integer) value (sp points)
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA%
-% now get the height of the actual letter produced by this font size
-\settoheight{\@IEEEtrantmpdimenB}{\@IEEEPARstartsubfont\@IEEEPARstartCAPSTYLE{#1}}%
-% If something bogus happens like the first argument is empty or the
-% current font is strange, do not allow a zero height.
-\ifdim\@IEEEtrantmpdimenB=0pt\relax%
-\typeout{** WARNING: IEEEPARstart drop letter has zero height! (line \the\inputlineno)}%
-\typeout{ Forcing the drop letter font size to 10pt.}%
-\@IEEEtrantmpdimenB=10pt%
-\fi%
-% and store it as a counter
-\@IEEEtrantmpcountB=\@IEEEtrantmpdimenB%
-% Since a font size doesn't exactly correspond to the height of the capital
-% letters in that font, the actual height of the letter, \@IEEEtrantmpcountB,
-% will be less than that desired, \@IEEEtrantmpcountA
-% we need to raise the font size, \@IEEEtrantmpdimenA 
-% by \@IEEEtrantmpcountA / \@IEEEtrantmpcountB
-% But, TeX doesn't have floating point division, so we have to use integer
-% division. Hence the use of the counters.
-% We need to reduce the denominator so that the loss of the remainder will
-% have minimal affect on the accuracy of the result
-\divide\@IEEEtrantmpcountB by 200%
-\divide\@IEEEtrantmpcountA by \@IEEEtrantmpcountB%
-% Then reequalize things when we use TeX's ability to multiply by
-% floating point values
-\@IEEEtrantmpdimenB=0.005\@IEEEtrantmpdimenA%
-\multiply\@IEEEtrantmpdimenB by \@IEEEtrantmpcountA%
-% \@IEEEPARstartfont is globaly set to the calculated font of the big letter
-% We need to carry this out of the local calculation area to to create the
-% big letter.
-\global\font\@IEEEPARstartfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenB%
-% Now set \@IEEEtrantmpdimenA to the width of the big letter
-% We need to carry this out of the local calculation area to set the
-% hanging indent
-\settowidth{\global\@IEEEtrantmpdimenA}{\@IEEEPARstartfont
-\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}}}%
-% end of the isolated calculation environment
-% add in the extra clearance we want
-\advance\@IEEEtrantmpdimenA by \@IEEEPARstartSEP\relax%
-% add in the optional offset
-\advance\@IEEEtrantmpdimenA by \@IEEEPARstartHOFFSET\relax%
-% V1.7 don't allow negative offsets to produce negative hanging indents
-\@IEEEtrantmpdimenB\@IEEEtrantmpdimenA
-\ifnum\@IEEEtrantmpdimenB < 0 \@IEEEtrantmpdimenB 0pt\fi
-% \@IEEEtrantmpdimenA has the width of the big letter plus the
-% separation space and \@IEEEPARstartfont is the font we need to use
-% Now, we make the letter and issue the hanging indent command
-% The letter is placed in a box of zero width and height so that other
-% text won't be displaced by it.
-\hangindent\@IEEEtrantmpdimenB\hangafter=-\@IEEEPARstartDROPLINES%
-\makebox[0pt][l]{\hspace{-\@IEEEtrantmpdimenA}%
-\raisebox{-\@IEEEPARstartDROPDEPTH}[0pt][0pt]{\hspace{\@IEEEPARstartHOFFSET}%
-\@IEEEPARstartfont\@IEEEPARstartCAPSTYLE{#1\@IEEEPARstartITLCORRECT}%
-\hspace{\@IEEEPARstartSEP}}}%
-{\@IEEEPARstartWORDFONTSTYLE{\@IEEEPARstartWORDCAPSTYLE{\selectfont#2}}}}
-
-
-
-
-
-
-% determines if the space remaining on a given page is equal to or greater
-% than the specified space of argument one
-% if not, execute argument two (only if the remaining space is greater than zero)
-% and issue a \newpage
-% 
-% example: \@IEEEtranneedspace{2in}{\vfill}
-% 
-% Does not take into consideration rubber shrinkage, so it tends to
-% be overly cautious
-% Based on an example posted by Donald Arseneau
-% Note this macro uses \@IEEEtrantmpdimenB internally for calculations,
-% so DO NOT PASS \@IEEEtrantmpdimenB to this routine
-% if you need a dimen register, import with \@IEEEtrantmpdimenA instead
-\def\@IEEEtranneedspace#1#2{\penalty-100\begingroup%shield temp variable
-\@IEEEtrantmpdimenB\pagegoal\advance\@IEEEtrantmpdimenB-\pagetotal% space left
-\ifdim #1>\@IEEEtrantmpdimenB\relax% not enough space left
-\ifdim\@IEEEtrantmpdimenB>\z@\relax #2\fi%
-\newpage%
-\fi\endgroup}
-
-
-
-% IEEEbiography ENVIRONMENT
-% Allows user to enter biography leaving place for picture (adapts to font size)
-% As of V1.5, a new optional argument allows you to have a real graphic!
-% V1.5 and later also fixes the "colliding biographies" which could happen when a 
-% biography's text was shorter than the space for the photo.
-% MDS 7/2001
-% V1.6 prevent multiple biographies from making multiple TOC entries
-\newif\if@IEEEbiographyTOCentrynotmade
-\global\@IEEEbiographyTOCentrynotmadetrue
-
-% biography counter so hyperref can jump directly to the biographies
-% and not just the previous section
-\newcounter{IEEEbiography}
-\setcounter{IEEEbiography}{0}
-
-% photo area size
-\def\@IEEEBIOphotowidth{1.0in}    % width of the biography photo area
-\def\@IEEEBIOphotodepth{1.25in}   % depth (height) of the biography photo area
-% area cleared for photo
-\def\@IEEEBIOhangwidth{1.14in}    % width cleared for the biography photo area
-\def\@IEEEBIOhangdepth{1.25in}    % depth cleared for the biography photo area
-                                  % actual depth will be a multiple of 
-                                  % \baselineskip, rounded up
-\def\@IEEEBIOskipN{4\baselineskip}% nominal value of the vskip above the biography
-
-\newenvironment{IEEEbiography}[2][]{\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize%
-\unitlength 1in\parskip=0pt\par\parindent 1em\interlinepenalty500%
-% we need enough space to support the hanging indent
-% the nominal value of the spacer
-% and one extra line for good measure
-\@IEEEtrantmpdimenA=\@IEEEBIOhangdepth%
-\advance\@IEEEtrantmpdimenA by \@IEEEBIOskipN%
-\advance\@IEEEtrantmpdimenA by 1\baselineskip%
-% if this page does not have enough space, break it and lets start
-% with a new one
-\@IEEEtranneedspace{\@IEEEtrantmpdimenA}{\relax}%
-% nominal spacer can strech, not shrink use 1fil so user can out stretch with \vfill
-\vskip \@IEEEBIOskipN plus 1fil minus 0\baselineskip%
-% the default box for where the photo goes
-\def\@IEEEtempbiographybox{{\setlength{\fboxsep}{0pt}\framebox{%
-\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}\centering PLACE\\ PHOTO\\ HERE \end{minipage}}}}%
-%
-% detect if the optional argument was supplied, this requires the
-% \@ifmtarg command as defined in the appendix section above
-% and if so, override the default box with what they want
-\@ifmtarg{#1}{\relax}{\def\@IEEEtempbiographybox{\mbox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}%
-\centering%
-#1%
-\end{minipage}}}}% end if optional argument supplied
-% Make an entry into the table of contents only if we have not done so before
-\if@IEEEbiographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{IEEEbiography}{-1}%
-\refstepcounter{IEEEbiography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@IEEEbiographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{IEEEbiography}%
-% Make an entry for this name into the table of contents 
-\addcontentsline{toc}{subsection}{#2}%
-% V1.6 properly handle if a new paragraph should occur while the
-% hanging indent is still active. Do this by redefining \par so
-% that it will not start a new paragraph. (But it will appear to the
-% user as if it did.) Also, strip any leading pars, newlines, or spaces.
-\let\@IEEEBIOORGparCMD=\par% save the original \par command
-\edef\par{\hfil\break\indent}% the new \par will not be a "real" \par
-\settoheight{\@IEEEtrantmpdimenA}{\@IEEEtempbiographybox}% get height of biography box
-\@IEEEtrantmpdimenB=\@IEEEBIOhangdepth%
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenB% countA has the hang depth
-\divide\@IEEEtrantmpcountA by \baselineskip%  calculates lines needed to produce the hang depth
-\advance\@IEEEtrantmpcountA by 1% ensure we overestimate
-% set the hanging indent
-\hangindent\@IEEEBIOhangwidth%
-\hangafter-\@IEEEtrantmpcountA%
-% reference the top of the photo area to the top of a capital T
-\settoheight{\@IEEEtrantmpdimenB}{\mbox{T}}%
-% set the photo box, give it zero width and height so as not to disturb anything
-\noindent\makebox[0pt][l]{\hspace{-\@IEEEBIOhangwidth}\raisebox{\@IEEEtrantmpdimenB}[0pt][0pt]{%
-\raisebox{-\@IEEEBIOphotodepth}[0pt][0pt]{\@IEEEtempbiographybox}}}%
-% now place the author name and begin the bio text
-\noindent\textbf{#2\ }\@IEEEgobbleleadPARNLSP}{\relax\let\par=\@IEEEBIOORGparCMD\par%
-% 7/2001 V1.5 detect when the biography text is shorter than the photo area
-% and pad the unused area - preventing a collision from the next biography entry
-% MDS
-\ifnum \prevgraf <\@IEEEtrantmpcountA\relax% detect when the biography text is shorter than the photo
-    \advance\@IEEEtrantmpcountA by -\prevgraf% calculate how many lines we need to pad
-    \advance\@IEEEtrantmpcountA by -1\relax% we compensate for the fact that we indented an extra line
-    \@IEEEtrantmpdimenA=\baselineskip% calculate the length of the padding
-    \multiply\@IEEEtrantmpdimenA by \@IEEEtrantmpcountA%
-    \noindent\rule{0pt}{\@IEEEtrantmpdimenA}% insert an invisible support strut
-\fi%
-\par\normalfont}
-
-
-
-% V1.6
-% added biography without a photo environment
-\newenvironment{IEEEbiographynophoto}[1]{%
-% Make an entry into the table of contents only if we have not done so before
-\if@IEEEbiographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{IEEEbiography}{-1}%
-\refstepcounter{IEEEbiography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@IEEEbiographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{IEEEbiography}%
-% Make an entry for this name into the table of contents 
-\addcontentsline{toc}{subsection}{#1}%
-\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize\interlinepenalty500%
-\vskip 4\baselineskip plus 1fil minus 0\baselineskip%
-\parskip=0pt\par%
-\noindent\textbf{#1\ }\@IEEEgobbleleadPARNLSP}{\relax\par\normalfont}
-
-
-% provide the user with some old font commands
-% got this from article.cls
-\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
-\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
-\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
-\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
-\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
-\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
-\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
-\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
-\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
-
-
-% SPECIAL PAPER NOTICE COMMANDS
-% 
-% holds the special notice text
-\def\@IEEEspecialpapernotice{\relax}
- 
-% for special papers, like invited papers, the user can do:
-% \IEEEspecialpapernotice{(Invited Paper)} before \maketitle
-\def\IEEEspecialpapernotice#1{\ifCLASSOPTIONconference%
-\def\@IEEEspecialpapernotice{{\Large#1\vspace*{1em}}}%
-\else%
-\def\@IEEEspecialpapernotice{{\\*[1.5ex]\sublargesize\textit{#1}}\vspace*{-2ex}}%
-\fi}
-
-
-
-
-% PUBLISHER ID COMMANDS
-% to insert a publisher's ID footer
-% V1.6 \IEEEpubid has been changed so that the change in page size and style
-% occurs in \maketitle. \IEEEpubid must now be issued prior to \maketitle
-% use \IEEEpubidadjcol as before - in the second column of the title page
-% These changes allow \maketitle to take the reduced page height into
-% consideration when dynamically setting the space between the author 
-% names and the maintext.
-%
-% the amount the main text is pulled up to make room for the
-% publisher's ID footer
-% IEEE uses about 1.3\baselineskip for journals, 
-% dynamic title spacing will clean up the fraction
-\def\@IEEEpubidpullup{1.3\baselineskip}
-\ifCLASSOPTIONtechnote
-% for technotes it must be an integer of baselineskip as there can be no
-% dynamic title spacing for two column mode technotes (the title is in the
-% in first column) and we should maintain an integer number of lines in the
-% second column
-% There are some examples (such as older issues of "Transactions on
-% Information Theory") in which IEEE really pulls the text off the ID for
-% technotes - about 0.55in (or 4\baselineskip). We'll use 2\baselineskip
-% and call it even.
-\def\@IEEEpubidpullup{2\baselineskip}
-\fi
-
-% V1.7 compsoc does not use a pullup
-\ifCLASSOPTIONcompsoc
-\def\@IEEEpubidpullup{0pt}
-\fi
-
-% holds the ID text
-\def\@IEEEpubid{\relax}
-
-% flag so \maketitle can tell if \IEEEpubid was called
-\newif\if@IEEEusingpubid
-\global\@IEEEusingpubidfalse
-% issue this command in the page to have the ID at the bottom
-% V1.6 use before \maketitle
-\def\IEEEpubid#1{\def\@IEEEpubid{#1}\global\@IEEEusingpubidtrue}
-
-
-% command which will pull up (shorten) the column it is executed in
-% to make room for the publisher ID. Place in the second column of
-% the title page when using \IEEEpubid
-% Is smart enough not to do anything when in single column text or
-% if the user hasn't called \IEEEpubid
-% currently needed in for the second column of a page with the
-% publisher ID. If not needed in future releases, please provide this
-% command and define it as \relax for backward compatibility
-% v1.6b do not allow command to operate if the peer review option has been 
-% selected because \IEEEpubidadjcol will not be on the cover page.
-% V1.7 do nothing if compsoc
-\def\IEEEpubidadjcol{\ifCLASSOPTIONcompsoc\else\ifCLASSOPTIONpeerreview\else
-\if@twocolumn\if@IEEEusingpubid\enlargethispage{-\@IEEEpubidpullup}\fi\fi\fi\fi}
-
-% Special thanks to Peter Wilson, Daniel Luecking, and the other
-% gurus at comp.text.tex, for helping me to understand how best to
-% implement the IEEEpubid command in LaTeX.
-
-
-
-%% Lockout some commands under various conditions
-
-% general purpose bit bucket
-\newsavebox{\@IEEEtranrubishbin}
-
-% flags to prevent multiple warning messages
-\newif\if@IEEEWARNthanks
-\newif\if@IEEEWARNIEEEPARstart
-\newif\if@IEEEWARNIEEEbiography
-\newif\if@IEEEWARNIEEEbiographynophoto
-\newif\if@IEEEWARNIEEEpubid
-\newif\if@IEEEWARNIEEEpubidadjcol
-\newif\if@IEEEWARNIEEEmembership
-\newif\if@IEEEWARNIEEEaftertitletext
-\@IEEEWARNthankstrue
-\@IEEEWARNIEEEPARstarttrue
-\@IEEEWARNIEEEbiographytrue
-\@IEEEWARNIEEEbiographynophototrue
-\@IEEEWARNIEEEpubidtrue
-\@IEEEWARNIEEEpubidadjcoltrue
-\@IEEEWARNIEEEmembershiptrue
-\@IEEEWARNIEEEaftertitletexttrue
-
-
-%% Lockout some commands when in various modes, but allow them to be restored if needed
-%%
-% save commands which might be locked out
-% so that the user can later restore them if needed
-\let\@IEEESAVECMDthanks\thanks
-\let\@IEEESAVECMDIEEEPARstart\IEEEPARstart
-\let\@IEEESAVECMDIEEEbiography\IEEEbiography
-\let\@IEEESAVECMDendIEEEbiography\endIEEEbiography
-\let\@IEEESAVECMDIEEEbiographynophoto\IEEEbiographynophoto
-\let\@IEEESAVECMDendIEEEbiographynophoto\endIEEEbiographynophoto
-\let\@IEEESAVECMDIEEEpubid\IEEEpubid
-\let\@IEEESAVECMDIEEEpubidadjcol\IEEEpubidadjcol
-\let\@IEEESAVECMDIEEEmembership\IEEEmembership
-\let\@IEEESAVECMDIEEEaftertitletext\IEEEaftertitletext
-
-
-% disable \IEEEPARstart when in draft mode
-% This may have originally been done because the pre-V1.6 drop letter
-% algorithm had problems with a non-unity baselinestretch
-% At any rate, it seems too formal to have a drop letter in a draft
-% paper.
-\ifCLASSOPTIONdraftcls
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** ATTENTION: \noexpand\IEEEPARstart
- is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-\fi
-% and for technotes
-\ifCLASSOPTIONtechnote
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart
- is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-\fi
-
-
-% lockout unneeded commands when in conference mode
-\ifCLASSOPTIONconference
-% when locked out, \thanks, \IEEEbiography, \IEEEbiographynophoto, \IEEEpubid,
-% \IEEEmembership and \IEEEaftertitletext will all swallow their given text. 
-% \IEEEPARstart will output a normal character instead
-% warn the user about these commands only once to prevent the console screen
-% from filling up with redundant messages
-\def\thanks#1{\if@IEEEWARNthanks\typeout{** WARNING: \noexpand\thanks
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNthanksfalse}
-\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}
-
-
-% LaTeX treats environments and commands with optional arguments differently.
-% the actual ("internal") command is stored as \\commandname 
-% (accessed via \csname\string\commandname\endcsname )
-% the "external" command \commandname is a macro with code to determine
-% whether or not the optional argument is presented and to provide the 
-% default if it is absent. So, in order to save and restore such a command
-% we would have to save and restore \\commandname as well. But, if LaTeX
-% ever changes the way it names the internal names, the trick would break.
-% Instead let us just define a new environment so that the internal
-% name can be left undisturbed.
-\newenvironment{@IEEEbogusbiography}[2][]{\if@IEEEWARNIEEEbiography\typeout{** WARNING: \noexpand\IEEEbiography
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographyfalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-% and make biography point to our bogus biography
-\let\IEEEbiography=\@IEEEbogusbiography
-\let\endIEEEbiography=\end@IEEEbogusbiography
-
-\renewenvironment{IEEEbiographynophoto}[1]{\if@IEEEWARNIEEEbiographynophoto\typeout{** WARNING: \noexpand\IEEEbiographynophoto
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographynophotofalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-
-\def\IEEEpubid#1{\if@IEEEWARNIEEEpubid\typeout{** WARNING: \noexpand\IEEEpubid 
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidfalse}
-\def\IEEEpubidadjcol{\if@IEEEWARNIEEEpubidadjcol\typeout{** WARNING: \noexpand\IEEEpubidadjcol
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidadjcolfalse}
-\def\IEEEmembership#1{\if@IEEEWARNIEEEmembership\typeout{** WARNING: \noexpand\IEEEmembership
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEmembershipfalse}
-\def\IEEEaftertitletext#1{\if@IEEEWARNIEEEaftertitletext\typeout{** WARNING: \noexpand\IEEEaftertitletext
- is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEaftertitletextfalse}
-\fi
-
-
-% provide a way to restore the commands that are locked out
-\def\IEEEoverridecommandlockouts{%
-\typeout{** ATTENTION: Overriding command lockouts (line \the\inputlineno).}%
-\let\thanks\@IEEESAVECMDthanks%
-\let\IEEEPARstart\@IEEESAVECMDIEEEPARstart%
-\let\IEEEbiography\@IEEESAVECMDIEEEbiography%
-\let\endIEEEbiography\@IEEESAVECMDendIEEEbiography%
-\let\IEEEbiographynophoto\@IEEESAVECMDIEEEbiographynophoto%
-\let\endIEEEbiographynophoto\@IEEESAVECMDendIEEEbiographynophoto%
-\let\IEEEpubid\@IEEESAVECMDIEEEpubid%
-\let\IEEEpubidadjcol\@IEEESAVECMDIEEEpubidadjcol%
-\let\IEEEmembership\@IEEESAVECMDIEEEmembership%
-\let\IEEEaftertitletext\@IEEESAVECMDIEEEaftertitletext}
-
-
-
-% need a backslash character for typeout output
-{\catcode`\|=0 \catcode`\\=12
-|xdef|@IEEEbackslash{\}}
-
-
-% hook to allow easy disabling of all legacy warnings
-\def\@IEEElegacywarn#1#2{\typeout{** ATTENTION: \@IEEEbackslash #1 is deprecated (line \the\inputlineno).
-Use \@IEEEbackslash #2 instead.}}
-
-
-% provide for legacy commands
-\def\authorblockA{\@IEEElegacywarn{authorblockA}{IEEEauthorblockA}\IEEEauthorblockA}
-\def\authorblockN{\@IEEElegacywarn{authorblockN}{IEEEauthorblockN}\IEEEauthorblockN}
-\def\authorrefmark{\@IEEElegacywarn{authorrefmark}{IEEEauthorrefmark}\IEEEauthorrefmark}
-\def\PARstart{\@IEEElegacywarn{PARstart}{IEEEPARstart}\IEEEPARstart}
-\def\pubid{\@IEEElegacywarn{pubid}{IEEEpubid}\IEEEpubid}
-\def\pubidadjcol{\@IEEElegacywarn{pubidadjcol}{IEEEpubidadjcol}\IEEEpubidadjcol}
-\def\QED{\@IEEElegacywarn{QED}{IEEEQED}\IEEEQED}
-\def\QEDclosed{\@IEEElegacywarn{QEDclosed}{IEEEQEDclosed}\IEEEQEDclosed}
-\def\QEDopen{\@IEEElegacywarn{QEDopen}{IEEEQEDopen}\IEEEQEDopen}
-\def\specialpapernotice{\@IEEElegacywarn{specialpapernotice}{IEEEspecialpapernotice}\IEEEspecialpapernotice}
-
-
-
-% provide for legacy environments
-\def\biography{\@IEEElegacywarn{biography}{IEEEbiography}\IEEEbiography}
-\def\biographynophoto{\@IEEElegacywarn{biographynophoto}{IEEEbiographynophoto}\IEEEbiographynophoto}
-\def\keywords{\@IEEElegacywarn{keywords}{IEEEkeywords}\IEEEkeywords}
-\def\endbiography{\endIEEEbiography}
-\def\endbiographynophoto{\endIEEEbiographynophoto}
-\def\endkeywords{\endIEEEkeywords}
-
-
-% provide for legacy IED commands/lengths when possible
-\let\labelindent\IEEElabelindent
-\def\calcleftmargin{\@IEEElegacywarn{calcleftmargin}{IEEEcalcleftmargin}\IEEEcalcleftmargin}
-\def\setlabelwidth{\@IEEElegacywarn{setlabelwidth}{IEEEsetlabelwidth}\IEEEsetlabelwidth}
-\def\usemathlabelsep{\@IEEElegacywarn{usemathlabelsep}{IEEEusemathlabelsep}\IEEEusemathlabelsep}
-\def\iedlabeljustifyc{\@IEEElegacywarn{iedlabeljustifyc}{IEEEiedlabeljustifyc}\IEEEiedlabeljustifyc}
-\def\iedlabeljustifyl{\@IEEElegacywarn{iedlabeljustifyl}{IEEEiedlabeljustifyl}\IEEEiedlabeljustifyl}
-\def\iedlabeljustifyr{\@IEEElegacywarn{iedlabeljustifyr}{IEEEiedlabeljustifyr}\IEEEiedlabeljustifyr}
-
-
-
-% let \proof use the IEEEtran version even after amsthm is loaded
-% \proof is now deprecated in favor of \IEEEproof
-\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}
-
-% V1.7 \overrideIEEEmargins is no longer supported.
-\def\overrideIEEEmargins{%
-\typeout{** WARNING: \string\overrideIEEEmargins \space no longer supported (line \the\inputlineno).}%
-\typeout{** Use the \string\CLASSINPUTinnersidemargin, \string\CLASSINPUToutersidemargin \space controls instead.}}
-
-
-\endinput
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls  %%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% That's all folks!
-
diff --git a/mpi-energy2-extension/IEEEtran/IEEEtranS.bst b/mpi-energy2-extension/IEEEtran/IEEEtranS.bst
deleted file mode 100644
index 29e5b8c..0000000
--- a/mpi-energy2-extension/IEEEtran/IEEEtranS.bst
+++ /dev/null
@@ -1,2607 +0,0 @@
-%%
-%% IEEEtranS.bst
-%% BibTeX Bibliography Style file
-%% Sorting version of IEEEtran.bst
-%% *** Not for normal IEEE work ***
-%% Version 1.12 (2007/01/11)
-%% 
-%% Copyright (c) 2003-2007 Michael Shell
-%% 
-%% Original starting code base and algorithms obtained from the output of
-%% Patrick W. Daly's makebst package as well as from prior versions of
-%% IEEE BibTeX styles:
-%% 
-%% 1. Howard Trickey and Oren Patashnik's ieeetr.bst  (1985/1988)
-%% 2. Silvano Balemi and Richard H. Roy's IEEEbib.bst (1993)
-%% 
-%% Added sorting code is from plain.bst.
-%% 
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and/or
-%% http://www.ieee.org/
-%% 
-%% For use with BibTeX version 0.99a or later
-%%
-%% This is a numerical citation style.
-%% 
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEabrv.bib, IEEEfull.bib, IEEEexample.bib,
-%%                    IEEEtran.bst, IEEEtranS.bst, IEEEtranSA.bst,
-%%                    IEEEtranN.bst, IEEEtranSN.bst, IEEEtran_bst_HOWTO.pdf
-%%*************************************************************************
-%
-%
-% Changelog:
-%
-% 1.10 (2002/09/27) Initial release
-%
-% 1.11 (2003/04/02)
-%  1. Fixed bug with URLs containing underscores when using url.sty. Thanks
-%     to Ming Kin Lai for reporting this.
-%
-% 1.12 (2007/01/11)
-%  1. Fixed bug with unwanted comma before "et al." when an entry contained
-%     more than two author names. Thanks to Pallav Gupta for reporting this.
-%  2. Fixed bug with anomalous closing quote in tech reports that have a
-%     type, but without a number or address. Thanks to Mehrdad Mirreza for
-%     reporting this.
-%  3. Use braces in \providecommand in begin.bib to better support
-%     latex2html. TeX style length assignments OK with recent versions
-%     of latex2html - 1.71 (2002/2/1) or later is strongly recommended.
-%     Use of the language field still causes trouble with latex2html.
-%     Thanks to Federico Beffa for reporting this.
-%  4. Added IEEEtran.bst ID and version comment string to .bbl output.
-%  5. Provide a \BIBdecl hook that allows the user to execute commands
-%     just prior to the first entry.
-%  6. Use default urlstyle (is using url.sty) of "same" rather than rm to
-%     better work with a wider variety of bibliography styles.
-%  7. Changed month abbreviations from Sept., July and June to Sep., Jul.,
-%     and Jun., respectively, as IEEE now does. Thanks to Moritz Borgmann
-%     for reporting this.
-%  8. Control entry types should not be considered when calculating longest
-%     label width.
-%  9. Added alias www for electronic/online.
-% 10. Added CTLname_url_prefix control entry type.
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% DEFAULTS FOR THE CONTROLS OF THE BST STYLE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-% These are the defaults for the user adjustable controls. The values used
-% here can be overridden by the user via IEEEtranBSTCTL entry type.
-
-% NOTE: The recommended LaTeX command to invoke a control entry type is:
-% 
-%\makeatletter
-%\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}
-%\def\@bstctlcite[#1]#2{\@bsphack
-%  \@for\@citeb:=#2\do{%
-%    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-%    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%
-%  \@esphack}
-%\makeatother
-%
-% It is called at the start of the document, before the first \cite, like:
-% \bstctlcite{IEEEexample:BSTcontrol}
-%
-% IEEEtran.cls V1.6 and later does provide this command.
-
-
-
-% #0 turns off the display of the number for articles.
-% #1 enables
-FUNCTION {default.is.use.number.for.article} { #1 }
-
-
-% #0 turns off the display of the paper and type fields in @inproceedings.
-% #1 enables
-FUNCTION {default.is.use.paper} { #1 }
-
-
-% #0 turns off the forced use of "et al."
-% #1 enables
-FUNCTION {default.is.forced.et.al} { #0 }
-
-% The maximum number of names that can be present beyond which an "et al."
-% usage is forced. Be sure that num.names.shown.with.forced.et.al (below)
-% is not greater than this value!
-% Note: There are many instances of references in IEEE journals which have
-% a very large number of authors as well as instances in which "et al." is
-% used profusely.
-FUNCTION {default.max.num.names.before.forced.et.al} { #10 }
-
-% The number of names that will be shown with a forced "et al.".
-% Must be less than or equal to max.num.names.before.forced.et.al
-FUNCTION {default.num.names.shown.with.forced.et.al} { #1 }
-
-
-% #0 turns off the alternate interword spacing for entries with URLs.
-% #1 enables
-FUNCTION {default.is.use.alt.interword.spacing} { #1 }
-
-% If alternate interword spacing for entries with URLs is enabled, this is
-% the interword spacing stretch factor that will be used. For example, the
-% default "4" here means that the interword spacing in entries with URLs can
-% stretch to four times normal. Does not have to be an integer. Note that
-% the value specified here can be overridden by the user in their LaTeX
-% code via a command such as: 
-% "\providecommand\BIBentryALTinterwordstretchfactor{1.5}" in addition to
-% that via the IEEEtranBSTCTL entry type.
-FUNCTION {default.ALTinterwordstretchfactor} { "4" }
-
-
-% #0 turns off the "dashification" of repeated (i.e., identical to those
-% of the previous entry) names. IEEE normally does this.
-% #1 enables
-FUNCTION {default.is.dash.repeated.names} { #1 }
-
-
-% The default name format control string.
-FUNCTION {default.name.format.string}{ "{f.~}{vv~}{ll}{, jj}" }
-
-
-% The default LaTeX font command for the names.
-FUNCTION {default.name.latex.cmd}{ "" }
-
-
-% The default URL prefix.
-FUNCTION {default.name.url.prefix}{ "[Online]. Available:" }
-
-
-% Other controls that cannot be accessed via IEEEtranBSTCTL entry type.
-
-% #0 turns off the terminal startup banner/completed message so as to
-% operate more quietly.
-% #1 enables
-FUNCTION {is.print.banners.to.terminal} { #1 }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% FILE VERSION AND BANNER %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION{bst.file.version} { "1.12" }
-FUNCTION{bst.file.date} { "2007/01/11" }
-FUNCTION{bst.file.website} { "http://www.michaelshell.org/tex/ieeetran/bibtex/" }
-
-FUNCTION {banner.message}
-{ is.print.banners.to.terminal
-     { "-- IEEEtranS.bst version" " " * bst.file.version *
-       " (" * bst.file.date * ") " * "by Michael Shell." *
-       top$
-       "-- " bst.file.website *
-       top$
-       "-- See the " quote$ * "IEEEtran_bst_HOWTO.pdf" * quote$ * " manual for usage information." *
-       top$
-       "** Sorting version - not for normal IEEE work."
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-FUNCTION {completed.message}
-{ is.print.banners.to.terminal
-     { ""
-       top$
-       "Done."
-       top$
-     }
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING CONSTANTS %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {bbl.and}{ "and" }
-FUNCTION {bbl.etal}{ "et~al." }
-FUNCTION {bbl.editors}{ "eds." }
-FUNCTION {bbl.editor}{ "ed." }
-FUNCTION {bbl.edition}{ "ed." }
-FUNCTION {bbl.volume}{ "vol." }
-FUNCTION {bbl.of}{ "of" }
-FUNCTION {bbl.number}{ "no." }
-FUNCTION {bbl.in}{ "in" }
-FUNCTION {bbl.pages}{ "pp." }
-FUNCTION {bbl.page}{ "p." }
-FUNCTION {bbl.chapter}{ "ch." }
-FUNCTION {bbl.paper}{ "paper" }
-FUNCTION {bbl.part}{ "pt." }
-FUNCTION {bbl.patent}{ "Patent" }
-FUNCTION {bbl.patentUS}{ "U.S." }
-FUNCTION {bbl.revision}{ "Rev." }
-FUNCTION {bbl.series}{ "ser." }
-FUNCTION {bbl.standard}{ "Std." }
-FUNCTION {bbl.techrep}{ "Tech. Rep." }
-FUNCTION {bbl.mthesis}{ "Master's thesis" }
-FUNCTION {bbl.phdthesis}{ "Ph.D. dissertation" }
-FUNCTION {bbl.st}{ "st" }
-FUNCTION {bbl.nd}{ "nd" }
-FUNCTION {bbl.rd}{ "rd" }
-FUNCTION {bbl.th}{ "th" }
-
-
-% This is the LaTeX spacer that is used when a larger than normal space
-% is called for (such as just before the address:publisher).
-FUNCTION {large.space} { "\hskip 1em plus 0.5em minus 0.4em\relax " }
-
-% The LaTeX code for dashes that are used to represent repeated names.
-% Note: Some older IEEE journals used something like
-% "\rule{0.275in}{0.5pt}\," which is fairly thick and runs right along
-% the baseline. However, IEEE now uses a thinner, above baseline,
-% six dash long sequence.
-FUNCTION {repeated.name.dashes} { "------" }
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% PREDEFINED STRING MACROS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-MACRO {jan} {"Jan."}
-MACRO {feb} {"Feb."}
-MACRO {mar} {"Mar."}
-MACRO {apr} {"Apr."}
-MACRO {may} {"May"}
-MACRO {jun} {"Jun."}
-MACRO {jul} {"Jul."}
-MACRO {aug} {"Aug."}
-MACRO {sep} {"Sep."}
-MACRO {oct} {"Oct."}
-MACRO {nov} {"Nov."}
-MACRO {dec} {"Dec."}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% ENTRY FIELDS %%
-%%%%%%%%%%%%%%%%%%
-
-ENTRY
-  { address
-    assignee
-    author
-    booktitle
-    chapter
-    day
-    dayfiled
-    edition
-    editor
-    howpublished
-    institution
-    intype
-    journal
-    key
-    language
-    month
-    monthfiled
-    nationality
-    note
-    number
-    organization
-    pages
-    paper
-    publisher
-    school
-    series
-    revision
-    title
-    type
-    url
-    volume
-    year
-    yearfiled
-    CTLuse_article_number
-    CTLuse_paper
-    CTLuse_forced_etal
-    CTLmax_names_forced_etal
-    CTLnames_show_etal
-    CTLuse_alt_spacing
-    CTLalt_stretch_factor
-    CTLdash_repeated_names
-    CTLname_format_string
-    CTLname_latex_cmd
-    CTLname_url_prefix
-  }
-  {}
-  { label }
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%
-%% INTEGER VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%%
-
-INTEGERS { prev.status.punct this.status.punct punct.std
-           punct.no punct.comma punct.period 
-           prev.status.space this.status.space space.std
-           space.no space.normal space.large
-           prev.status.quote this.status.quote quote.std
-           quote.no quote.close
-           prev.status.nline this.status.nline nline.std
-           nline.no nline.newblock 
-           status.cap cap.std
-           cap.no cap.yes}
-
-INTEGERS { longest.label.width multiresult nameptr namesleft number.label numnames }
-
-INTEGERS { is.use.number.for.article
-           is.use.paper
-           is.forced.et.al
-           max.num.names.before.forced.et.al
-           num.names.shown.with.forced.et.al
-           is.use.alt.interword.spacing
-           is.dash.repeated.names}
-
-
-%%%%%%%%%%%%%%%%%%%%%%
-%% STRING VARIABLES %%
-%%%%%%%%%%%%%%%%%%%%%%
-
-STRINGS { bibinfo
-          longest.label
-          oldname
-          s
-          t
-          ALTinterwordstretchfactor
-          name.format.string
-          name.latex.cmd
-          name.url.prefix}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LOW LEVEL FUNCTIONS %%
-%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.controls}
-{ default.is.use.number.for.article 'is.use.number.for.article :=
-  default.is.use.paper 'is.use.paper :=
-  default.is.forced.et.al 'is.forced.et.al :=
-  default.max.num.names.before.forced.et.al 'max.num.names.before.forced.et.al :=
-  default.num.names.shown.with.forced.et.al 'num.names.shown.with.forced.et.al :=
-  default.is.use.alt.interword.spacing 'is.use.alt.interword.spacing :=
-  default.is.dash.repeated.names 'is.dash.repeated.names :=
-  default.ALTinterwordstretchfactor 'ALTinterwordstretchfactor :=
-  default.name.format.string 'name.format.string :=
-  default.name.latex.cmd 'name.latex.cmd :=
-  default.name.url.prefix 'name.url.prefix :=
-}
-
-
-% This IEEEtran.bst features a very powerful and flexible mechanism for
-% controlling the capitalization, punctuation, spacing, quotation, and
-% newlines of the formatted entry fields. (Note: IEEEtran.bst does not need
-% or use the newline/newblock feature, but it has been implemented for
-% possible future use.) The output states of IEEEtran.bst consist of
-% multiple independent attributes and, as such, can be thought of as being
-% vectors, rather than the simple scalar values ("before.all", 
-% "mid.sentence", etc.) used in most other .bst files.
-% 
-% The more flexible and complex design used here was motivated in part by
-% IEEE's rather unusual bibliography style. For example, IEEE ends the
-% previous field item with a period and large space prior to the publisher
-% address; the @electronic entry types use periods as inter-item punctuation
-% rather than the commas used by the other entry types; and URLs are never
-% followed by periods even though they are the last item in the entry.
-% Although it is possible to accommodate these features with the conventional
-% output state system, the seemingly endless exceptions make for convoluted,
-% unreliable and difficult to maintain code.
-%
-% IEEEtran.bst's output state system can be easily understood via a simple
-% illustration of two most recently formatted entry fields (on the stack):
-%
-%               CURRENT_ITEM
-%               "PREVIOUS_ITEM
-%
-% which, in this example, is to eventually appear in the bibliography as:
-% 
-%               "PREVIOUS_ITEM," CURRENT_ITEM
-%
-% It is the job of the output routine to take the previous item off of the
-% stack (while leaving the current item at the top of the stack), apply its
-% trailing punctuation (including closing quote marks) and spacing, and then
-% to write the result to BibTeX's output buffer:
-% 
-%               "PREVIOUS_ITEM," 
-% 
-% Punctuation (and spacing) between items is often determined by both of the
-% items rather than just the first one. The presence of quotation marks
-% further complicates the situation because, in standard English, trailing
-% punctuation marks are supposed to be contained within the quotes.
-% 
-% IEEEtran.bst maintains two output state (aka "status") vectors which
-% correspond to the previous and current (aka "this") items. Each vector
-% consists of several independent attributes which track punctuation,
-% spacing, quotation, and newlines. Capitalization status is handled by a
-% separate scalar because the format routines, not the output routine,
-% handle capitalization and, therefore, there is no need to maintain the
-% capitalization attribute for both the "previous" and "this" items.
-% 
-% When a format routine adds a new item, it copies the current output status
-% vector to the previous output status vector and (usually) resets the
-% current (this) output status vector to a "standard status" vector. Using a
-% "standard status" vector in this way allows us to redefine what we mean by
-% "standard status" at the start of each entry handler and reuse the same
-% format routines under the various inter-item separation schemes. For
-% example, the standard status vector for the @book entry type may use
-% commas for item separators, while the @electronic type may use periods,
-% yet both entry handlers exploit many of the exact same format routines.
-% 
-% Because format routines have write access to the output status vector of
-% the previous item, they can override the punctuation choices of the
-% previous format routine! Therefore, it becomes trivial to implement rules
-% such as "Always use a period and a large space before the publisher." By
-% pushing the generation of the closing quote mark to the output routine, we
-% avoid all the problems caused by having to close a quote before having all
-% the information required to determine what the punctuation should be.
-%
-% The IEEEtran.bst output state system can easily be expanded if needed.
-% For instance, it is easy to add a "space.tie" attribute value if the
-% bibliography rules mandate that two items have to be joined with an
-% unbreakable space. 
-
-FUNCTION {initialize.status.constants}
-{ #0 'punct.no :=
-  #1 'punct.comma :=
-  #2 'punct.period :=
-  #0 'space.no := 
-  #1 'space.normal :=
-  #2 'space.large :=
-  #0 'quote.no :=
-  #1 'quote.close :=
-  #0 'cap.no :=
-  #1 'cap.yes :=
-  #0 'nline.no :=
-  #1 'nline.newblock :=
-}
-
-FUNCTION {std.status.using.comma}
-{ punct.comma 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.no 'cap.std :=
-}
-
-FUNCTION {std.status.using.period}
-{ punct.period 'punct.std :=
-  space.normal 'space.std :=
-  quote.no 'quote.std :=
-  nline.no 'nline.std :=
-  cap.yes 'cap.std :=
-}
-
-FUNCTION {initialize.prev.this.status}
-{ punct.no 'prev.status.punct :=
-  space.no 'prev.status.space :=
-  quote.no 'prev.status.quote :=
-  nline.no 'prev.status.nline :=
-  punct.no 'this.status.punct :=
-  space.no 'this.status.space :=
-  quote.no 'this.status.quote :=
-  nline.no 'this.status.nline :=
-  cap.yes 'status.cap :=
-}
-
-FUNCTION {this.status.std}
-{ punct.std 'this.status.punct :=
-  space.std 'this.status.space :=
-  quote.std 'this.status.quote :=
-  nline.std 'this.status.nline :=
-}
-
-FUNCTION {cap.status.std}{ cap.std 'status.cap := }
-
-FUNCTION {this.to.prev.status}
-{ this.status.punct 'prev.status.punct :=
-  this.status.space 'prev.status.space :=
-  this.status.quote 'prev.status.quote :=
-  this.status.nline 'prev.status.nline :=
-}
-
-
-FUNCTION {not}
-{   { #0 }
-    { #1 }
-  if$
-}
-
-FUNCTION {and}
-{   { skip$ }
-    { pop$ #0 }
-  if$
-}
-
-FUNCTION {or}
-{   { pop$ #1 }
-    { skip$ }
-  if$
-}
-
-
-% convert the strings "yes" or "no" to #1 or #0 respectively
-FUNCTION {yes.no.to.int}
-{ "l" change.case$ duplicate$
-    "yes" =
-    { pop$  #1 }
-    { duplicate$ "no" =
-        { pop$ #0 }
-        { "unknown boolean " quote$ * swap$ * quote$ *
-          " in " * cite$ * warning$
-          #0
-        }
-      if$
-    }
-  if$
-}
-
-
-% pushes true if the single char string on the stack is in the
-% range of "0" to "9"
-FUNCTION {is.num}
-{ chr.to.int$
-  duplicate$ "0" chr.to.int$ < not
-  swap$ "9" chr.to.int$ > not and
-}
-
-% multiplies the integer on the stack by a factor of 10
-FUNCTION {bump.int.mag}
-{ #0 'multiresult :=
-    { duplicate$ #0 > }
-    { #1 -
-      multiresult #10 +
-      'multiresult :=
-    }
-  while$
-pop$
-multiresult
-}
-
-% converts a single character string on the stack to an integer
-FUNCTION {char.to.integer}
-{ duplicate$ 
-  is.num
-    { chr.to.int$ "0" chr.to.int$ - }
-    {"noninteger character " quote$ * swap$ * quote$ *
-          " in integer field of " * cite$ * warning$
-    #0
-    }
-  if$
-}
-
-% converts a string on the stack to an integer
-FUNCTION {string.to.integer}
-{ duplicate$ text.length$ 'namesleft :=
-  #1 'nameptr :=
-  #0 'numnames :=
-    { nameptr namesleft > not }
-    { duplicate$ nameptr #1 substring$
-      char.to.integer numnames bump.int.mag +
-      'numnames :=
-      nameptr #1 +
-      'nameptr :=
-    }
-  while$
-pop$
-numnames
-}
-
-
-
-
-% The output routines write out the *next* to the top (previous) item on the
-% stack, adding punctuation and such as needed. Since IEEEtran.bst maintains
-% the output status for the top two items on the stack, these output
-% routines have to consider the previous output status (which corresponds to
-% the item that is being output). Full independent control of punctuation,
-% closing quote marks, spacing, and newblock is provided.
-% 
-% "output.nonnull" does not check for the presence of a previous empty
-% item.
-% 
-% "output" does check for the presence of a previous empty item and will
-% remove an empty item rather than outputing it.
-% 
-% "output.warn" is like "output", but will issue a warning if it detects
-% an empty item.
-
-FUNCTION {output.nonnull}
-{ swap$
-  prev.status.punct punct.comma =
-     { "," * }
-     { skip$ }
-   if$
-  prev.status.punct punct.period =
-     { add.period$ }
-     { skip$ }
-   if$ 
-  prev.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-  prev.status.space space.normal =
-     { " " * }
-     { skip$ }
-   if$
-  prev.status.space space.large =
-     { large.space * }
-     { skip$ }
-   if$
-  write$
-  prev.status.nline nline.newblock =
-     { newline$ "\newblock " write$ }
-     { skip$ }
-   if$
-}
-
-FUNCTION {output}
-{ duplicate$ empty$
-    'pop$
-    'output.nonnull
-  if$
-}
-
-FUNCTION {output.warn}
-{ 't :=
-  duplicate$ empty$
-    { pop$ "empty " t * " in " * cite$ * warning$ }
-    'output.nonnull
-  if$
-}
-
-% "fin.entry" is the output routine that handles the last item of the entry
-% (which will be on the top of the stack when "fin.entry" is called).
-
-FUNCTION {fin.entry}
-{ this.status.punct punct.no =
-     { skip$ }
-     { add.period$ }
-   if$
-   this.status.quote quote.close =
-     { "''" * }
-     { skip$ }
-   if$
-write$
-newline$
-}
-
-
-FUNCTION {is.last.char.not.punct}
-{ duplicate$
-   "}" * add.period$
-   #-1 #1 substring$ "." =
-}
-
-FUNCTION {is.multiple.pages}
-{ 't :=
-  #0 'multiresult :=
-    { multiresult not
-      t empty$ not
-      and
-    }
-    { t #1 #1 substring$
-      duplicate$ "-" =
-      swap$ duplicate$ "," =
-      swap$ "+" =
-      or or
-        { #1 'multiresult := }
-        { t #2 global.max$ substring$ 't := }
-      if$
-    }
-  while$
-  multiresult
-}
-
-FUNCTION {capitalize}{ "u" change.case$ "t" change.case$ }
-
-FUNCTION {emphasize}
-{ duplicate$ empty$
-    { pop$ "" }
-    { "\emph{" swap$ * "}" * }
-  if$
-}
-
-FUNCTION {do.name.latex.cmd}
-{ name.latex.cmd
-  empty$
-    { skip$ }
-    { name.latex.cmd "{" * swap$ * "}" * }
-  if$
-}
-
-% IEEEtran.bst uses its own \BIBforeignlanguage command which directly
-% invokes the TeX hyphenation patterns without the need of the Babel
-% package. Babel does a lot more than switch hyphenation patterns and
-% its loading can cause unintended effects in many class files (such as
-% IEEEtran.cls).
-FUNCTION {select.language}
-{ duplicate$ empty$ 'pop$
-    { language empty$ 'skip$
-        { "\BIBforeignlanguage{" language * "}{" * swap$ * "}" * }
-      if$
-    }
-  if$
-}
-
-FUNCTION {tie.or.space.prefix}
-{ duplicate$ text.length$ #3 <
-    { "~" }
-    { " " }
-  if$
-  swap$
-}
-
-FUNCTION {get.bbl.editor}
-{ editor num.names$ #1 > 'bbl.editors 'bbl.editor if$ }
-
-FUNCTION {space.word}{ " " swap$ * " " * }
-
-
-% Field Conditioners, Converters, Checkers and External Interfaces
-
-FUNCTION {empty.field.to.null.string}
-{ duplicate$ empty$
-    { pop$ "" }
-    { skip$ }
-  if$
-}
-
-FUNCTION {either.or.check}
-{ empty$
-    { pop$ }
-    { "can't use both " swap$ * " fields in " * cite$ * warning$ }
-  if$
-}
-
-FUNCTION {empty.entry.warn}
-{ author empty$ title empty$ howpublished empty$
-  month empty$ year empty$ note empty$ url empty$
-  and and and and and and
-    { "all relevant fields are empty in " cite$ * warning$ }
-    'skip$
-  if$
-}
-
-
-% The bibinfo system provides a way for the electronic parsing/acquisition
-% of a bibliography's contents as is done by ReVTeX. For example, a field
-% could be entered into the bibliography as:
-% \bibinfo{volume}{2}
-% Only the "2" would show up in the document, but the LaTeX \bibinfo command
-% could do additional things with the information. IEEEtran.bst does provide
-% a \bibinfo command via "\providecommand{\bibinfo}[2]{#2}". However, it is
-% currently not used as the bogus bibinfo functions defined here output the
-% entry values directly without the \bibinfo wrapper. The bibinfo functions
-% themselves (and the calls to them) are retained for possible future use.
-% 
-% bibinfo.check avoids acting on missing fields while bibinfo.warn will
-% issue a warning message if a missing field is detected. Prior to calling
-% the bibinfo functions, the user should push the field value and then its
-% name string, in that order.
-
-FUNCTION {bibinfo.check}
-{ swap$ duplicate$ missing$
-    { pop$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ pop$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-FUNCTION {bibinfo.warn}
-{ swap$ duplicate$ missing$
-    { swap$ "missing " swap$ * " in " * cite$ * warning$ pop$ "" }
-    { duplicate$ empty$
-        { swap$ "empty " swap$ * " in " * cite$ * warning$ }
-        { swap$ pop$ }
-      if$
-    }
-  if$
-}
-
-
-% IEEE separates large numbers with more than 4 digits into groups of
-% three. IEEE uses a small space to separate these number groups. 
-% Typical applications include patent and page numbers.
-
-% number of consecutive digits required to trigger the group separation.
-FUNCTION {large.number.trigger}{ #5 }
-
-% For numbers longer than the trigger, this is the blocksize of the groups.
-% The blocksize must be less than the trigger threshold, and 2 * blocksize
-% must be greater than the trigger threshold (can't do more than one
-% separation on the initial trigger).
-FUNCTION {large.number.blocksize}{ #3 }
-
-% What is actually inserted between the number groups.
-FUNCTION {large.number.separator}{ "\," }
-
-% So as to save on integer variables by reusing existing ones, numnames
-% holds the current number of consecutive digits read and nameptr holds
-% the number that will trigger an inserted space.
-FUNCTION {large.number.separate}
-{ 't :=
-  ""
-  #0 'numnames :=
-  large.number.trigger 'nameptr :=
-  { t empty$ not }
-  { t #-1 #1 substring$ is.num
-      { numnames #1 + 'numnames := }
-      { #0 'numnames := 
-        large.number.trigger 'nameptr :=
-      }
-    if$
-    t #-1 #1 substring$ swap$ *
-    t #-2 global.max$ substring$ 't :=
-    numnames nameptr =
-      { duplicate$ #1 nameptr large.number.blocksize - substring$ swap$
-        nameptr large.number.blocksize - #1 + global.max$ substring$
-        large.number.separator swap$ * *
-        nameptr large.number.blocksize - 'numnames :=
-        large.number.blocksize #1 + 'nameptr :=
-      }
-      { skip$ }
-    if$
-  }
-  while$
-}
-
-% Converts all single dashes "-" to double dashes "--".
-FUNCTION {n.dashify}
-{ large.number.separate
-  't :=
-  ""
-    { t empty$ not }
-    { t #1 #1 substring$ "-" =
-        { t #1 #2 substring$ "--" = not
-            { "--" *
-              t #2 global.max$ substring$ 't :=
-            }
-            {   { t #1 #1 substring$ "-" = }
-                { "-" *
-                  t #2 global.max$ substring$ 't :=
-                }
-              while$
-            }
-          if$
-        }
-        { t #1 #1 substring$ *
-          t #2 global.max$ substring$ 't :=
-        }
-      if$
-    }
-  while$
-}
-
-
-% This function detects entries with names that are identical to that of
-% the previous entry and replaces the repeated names with dashes (if the
-% "is.dash.repeated.names" user control is nonzero).
-FUNCTION {name.or.dash}
-{ 's :=
-   oldname empty$
-     { s 'oldname := s }
-     { s oldname =
-         { is.dash.repeated.names
-              { repeated.name.dashes }
-              { s 'oldname := s }
-            if$
-         }
-         { s 'oldname := s }
-       if$
-     }
-   if$
-}
-
-% Converts the number string on the top of the stack to
-% "numerical ordinal form" (e.g., "7" to "7th"). There is
-% no artificial limit to the upper bound of the numbers as the
-% least significant digit always determines the ordinal form.
-FUNCTION {num.to.ordinal}
-{ duplicate$ #-1 #1 substring$ "1" =
-     { bbl.st * }
-     { duplicate$ #-1 #1 substring$ "2" =
-         { bbl.nd * }
-         { duplicate$ #-1 #1 substring$ "3" =
-             { bbl.rd * }
-             { bbl.th * }
-           if$
-         }
-       if$
-     }
-   if$
-}
-
-% If the string on the top of the stack begins with a number,
-% (e.g., 11th) then replace the string with the leading number
-% it contains. Otherwise retain the string as-is. s holds the
-% extracted number, t holds the part of the string that remains
-% to be scanned.
-FUNCTION {extract.num}
-{ duplicate$ 't :=
-  "" 's :=
-  { t empty$ not }
-  { t #1 #1 substring$
-    t #2 global.max$ substring$ 't :=
-    duplicate$ is.num
-      { s swap$ * 's := }
-      { pop$ "" 't := }
-    if$
-  }
-  while$
-  s empty$
-    'skip$
-    { pop$ s }
-  if$
-}
-
-% Converts the word number string on the top of the stack to
-% Arabic string form. Will be successful up to "tenth".
-FUNCTION {word.to.num}
-{ duplicate$ "l" change.case$ 's :=
-  s "first" =
-    { pop$ "1" }
-    { skip$ }
-  if$
-  s "second" =
-    { pop$ "2" }
-    { skip$ }
-  if$
-  s "third" =
-    { pop$ "3" }
-    { skip$ }
-  if$
-  s "fourth" =
-    { pop$ "4" }
-    { skip$ }
-  if$
-  s "fifth" =
-    { pop$ "5" }
-    { skip$ }
-  if$
-  s "sixth" =
-    { pop$ "6" }
-    { skip$ }
-  if$
-  s "seventh" =
-    { pop$ "7" }
-    { skip$ }
-  if$
-  s "eighth" =
-    { pop$ "8" }
-    { skip$ }
-  if$
-  s "ninth" =
-    { pop$ "9" }
-    { skip$ }
-  if$
-  s "tenth" =
-    { pop$ "10" }
-    { skip$ }
-  if$
-}
-
-
-% Converts the string on the top of the stack to numerical
-% ordinal (e.g., "11th") form.
-FUNCTION {convert.edition}
-{ duplicate$ empty$ 'skip$
-    { duplicate$ #1 #1 substring$ is.num
-        { extract.num
-          num.to.ordinal
-        }
-        { word.to.num
-          duplicate$ #1 #1 substring$ is.num
-            { num.to.ordinal }
-            { "edition ordinal word " quote$ * edition * quote$ *
-              " may be too high (or improper) for conversion" * " in " * cite$ * warning$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% LATEX BIBLIOGRAPHY CODE %%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {start.entry}
-{ newline$
-  "\bibitem{" write$
-  cite$ write$
-  "}" write$
-  newline$
-  ""
-  initialize.prev.this.status
-}
-
-% Here we write out all the LaTeX code that we will need. The most involved
-% code sequences are those that control the alternate interword spacing and
-% foreign language hyphenation patterns. The heavy use of \providecommand
-% gives users a way to override the defaults. Special thanks to Javier Bezos,
-% Johannes Braams, Robin Fairbairns, Heiko Oberdiek, Donald Arseneau and all
-% the other gurus on comp.text.tex for their help and advice on the topic of
-% \selectlanguage, Babel and BibTeX.
-FUNCTION {begin.bib}
-{ "% Generated by IEEEtranS.bst, version: " bst.file.version * " (" * bst.file.date * ")" *
-  write$ newline$
-  preamble$ empty$ 'skip$
-    { preamble$ write$ newline$ }
-  if$
-  "\begin{thebibliography}{"  longest.label  * "}" *
-  write$ newline$
-  "\providecommand{\url}[1]{#1}"
-  write$ newline$
-  "\csname url@samestyle\endcsname"
-  write$ newline$
-  "\providecommand{\newblock}{\relax}"
-  write$ newline$
-  "\providecommand{\bibinfo}[2]{#2}"
-  write$ newline$
-  "\providecommand{\BIBentrySTDinterwordspacing}{\spaceskip=0pt\relax}"
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordstretchfactor}{"
-  ALTinterwordstretchfactor * "}" *
-  write$ newline$
-  "\providecommand{\BIBentryALTinterwordspacing}{\spaceskip=\fontdimen2\font plus "
-  write$ newline$
-  "\BIBentryALTinterwordstretchfactor\fontdimen3\font minus \fontdimen4\font\relax}"
-  write$ newline$
-  "\providecommand{\BIBforeignlanguage}[2]{{%"
-  write$ newline$
-  "\expandafter\ifx\csname l@#1\endcsname\relax"
-  write$ newline$
-  "\typeout{** WARNING: IEEEtranS.bst: No hyphenation pattern has been}%"
-  write$ newline$
-  "\typeout{** loaded for the language `#1'. Using the pattern for}%"
-  write$ newline$
-  "\typeout{** the default language instead.}%"
-  write$ newline$
-  "\else"
-  write$ newline$
-  "\language=\csname l@#1\endcsname"
-  write$ newline$
-  "\fi"
-  write$ newline$
-  "#2}}"
-  write$ newline$
-  "\providecommand{\BIBdecl}{\relax}"
-  write$ newline$
-  "\BIBdecl"
-  write$ newline$
-}
-
-FUNCTION {end.bib}
-{ newline$ "\end{thebibliography}" write$ newline$ }
-
-FUNCTION {if.url.alt.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentryALTinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-FUNCTION {if.url.std.interword.spacing}
-{ is.use.alt.interword.spacing 
-     {url empty$ 'skip$ {"\BIBentrySTDinterwordspacing" write$ newline$} if$}
-     { skip$ }
-   if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%
-%% LONGEST LABEL PASS %%
-%%%%%%%%%%%%%%%%%%%%%%%%
-
-FUNCTION {initialize.longest.label}
-{ "" 'longest.label :=
-  #1 'number.label :=
-  #0 'longest.label.width :=
-}
-
-FUNCTION {longest.label.pass}
-{ type$ "ieeetranbstctl" =
-    { skip$ }
-    { number.label int.to.str$ 'label :=
-      number.label #1 + 'number.label :=
-      label width$ longest.label.width >
-        { label 'longest.label :=
-          label width$ 'longest.label.width :=
-        }
-        { skip$ }
-      if$
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%%
-%% FORMAT HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%%
-
-%% Lower Level Formats (used by higher level formats)
-
-FUNCTION {format.address.org.or.pub.date}
-{ 't :=
-  ""
-  year empty$
-    { "empty year in " cite$ * warning$ }
-    { skip$ }
-  if$
-  address empty$ t empty$ and
-  year empty$ and month empty$ and
-    { skip$ }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      address "address" bibinfo.check *
-      t empty$
-        { skip$ }
-        { punct.period 'prev.status.punct :=
-          space.large 'prev.status.space :=
-          address empty$
-            { skip$ }
-            { ": " * }
-          if$
-          t *
-        }
-      if$
-      year empty$ month empty$ and
-        { skip$ }
-        { t empty$ address empty$ and
-            { skip$ }
-            { ", " * }
-          if$
-          month empty$
-            { year empty$
-                { skip$ }
-                { year "year" bibinfo.check * }
-              if$
-            }
-            { month "month" bibinfo.check *
-              year empty$
-                 { skip$ }
-                 { " " * year "year" bibinfo.check * }
-              if$
-            }
-          if$
-        }
-      if$
-    }
-  if$
-}
-
-
-FUNCTION {format.names}
-{ 'bibinfo :=
-  duplicate$ empty$ 'skip$ {
-  this.to.prev.status
-  this.status.std
-  's :=
-  "" 't :=
-  #1 'nameptr :=
-  s num.names$ 'numnames :=
-  numnames 'namesleft :=
-    { namesleft #0 > }
-    { s nameptr
-      name.format.string
-      format.name$
-      bibinfo bibinfo.check
-      't :=
-      nameptr #1 >
-        { nameptr num.names.shown.with.forced.et.al #1 + =
-          numnames max.num.names.before.forced.et.al >
-          is.forced.et.al and and
-            { "others" 't :=
-              #1 'namesleft :=
-            }
-            { skip$ }
-          if$
-          namesleft #1 >
-            { ", " * t do.name.latex.cmd * }
-            { s nameptr "{ll}" format.name$ duplicate$ "others" =
-                { 't := }
-                { pop$ }
-              if$
-              t "others" =
-                { " " * bbl.etal emphasize * }
-                { numnames #2 >
-                    { "," * }
-                    { skip$ }
-                  if$
-                  bbl.and
-                  space.word * t do.name.latex.cmd *
-                }
-              if$
-            }
-          if$
-        }
-        { t do.name.latex.cmd }
-      if$
-      nameptr #1 + 'nameptr :=
-      namesleft #1 - 'namesleft :=
-    }
-  while$
-  cap.status.std
-  } if$
-}
-
-
-
-
-%% Higher Level Formats
-
-%% addresses/locations
-
-FUNCTION {format.address}
-{ address duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% author/editor names
-
-FUNCTION {format.authors}{ author "author" format.names }
-
-FUNCTION {format.editors}
-{ editor "editor" format.names duplicate$ empty$ 'skip$
-    { ", " *
-      get.bbl.editor
-      capitalize
-      *
-    }
-  if$
-}
-
-
-
-%% date
-
-FUNCTION {format.date}
-{
-  month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 'skip$
-        { this.to.prev.status
-          this.status.std
-          cap.status.std
-         "there's a month but no year in " cite$ * warning$ }
-      if$
-      *
-    }
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      swap$ 'skip$
-        {
-          swap$
-          " " * swap$
-        }
-      if$
-      *
-    }
-  if$
-}
-
-FUNCTION {format.date.electronic}
-{ month "month" bibinfo.check duplicate$ empty$
-  year  "year" bibinfo.check duplicate$ empty$
-    { swap$ 
-        { pop$ }
-        { "there's a month but no year in " cite$ * warning$
-        pop$ ")" * "(" swap$ *
-        this.to.prev.status
-        punct.no 'this.status.punct :=
-        space.normal 'this.status.space :=
-        quote.no 'this.status.quote :=
-        cap.yes  'status.cap :=
-        }
-      if$
-    }
-    { swap$ 
-        { swap$ pop$ ")" * "(" swap$ * }
-        { "(" swap$ * ", " * swap$ * ")" * }
-      if$
-    this.to.prev.status
-    punct.no 'this.status.punct :=
-    space.normal 'this.status.space :=
-    quote.no 'this.status.quote :=
-    cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% edition/title
-
-% Note: IEEE considers the edition to be closely associated with
-% the title of a book. So, in IEEEtran.bst the edition is normally handled 
-% within the formatting of the title. The format.edition function is 
-% retained here for possible future use.
-FUNCTION {format.edition}
-{ edition duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      convert.edition
-      status.cap
-        { "t" }
-        { "l" }
-      if$ change.case$
-      "edition" bibinfo.check
-      "~" * bbl.edition *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of a conference proceedings.
-% Here we use the "intype" field to provide the user a way to 
-% override the word "in" (e.g., with things like "presented at")
-% Use of intype stops the emphasis of the booktitle to indicate that
-% we no longer mean the written conference proceedings, but the
-% conference itself.
-FUNCTION {format.in.booktitle}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      intype missing$
-        { emphasize
-          bbl.in " " *
-        }
-        { intype " " * }
-      if$
-      swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-% This is used to format the booktitle of collection.
-% Here the "intype" field is not supported, but "edition" is.
-FUNCTION {format.in.booktitle.edition}
-{ booktitle "booktitle" bibinfo.check duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          "l" change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      bbl.in " " * swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      "t" change.case$
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { quote.close 'this.status.quote :=
-      is.last.char.not.punct
-        { punct.std 'this.status.punct := }
-        { punct.no 'this.status.punct := }
-      if$
-      select.language
-      "``" swap$ *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.article.title.electronic}
-{ title duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      "t" change.case$ 
-    }
-  if$
-  "title" bibinfo.check
-  duplicate$ empty$ 
-    { skip$ } 
-    { select.language }
-  if$
-}
-
-FUNCTION {format.book.title.edition}
-{ title "title" bibinfo.check
-  duplicate$ empty$
-    { "empty title in " cite$ * warning$ }
-    { this.to.prev.status
-      this.status.std
-      select.language
-      emphasize
-      edition empty$ 'skip$
-        { ", " *
-          edition
-          convert.edition
-          status.cap
-            { "t" }
-            { "l" }
-          if$
-          change.case$
-          * "~" * bbl.edition *
-        }
-      if$
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.book.title}
-{ title "title" bibinfo.check
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% journal
-
-FUNCTION {format.journal}
-{ journal duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-      select.language
-      emphasize
-    }
-  if$
-}
-
-
-
-%% how published
-
-FUNCTION {format.howpublished}
-{ howpublished duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% institutions/organization/publishers/school
-
-FUNCTION {format.institution}
-{ institution duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.organization}
-{ organization duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.address.publisher.date}
-{ publisher "publisher" bibinfo.warn format.address.org.or.pub.date }
-
-FUNCTION {format.address.publisher.date.nowarn}
-{ publisher "publisher" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.address.organization.date}
-{ organization "organization" bibinfo.check format.address.org.or.pub.date }
-
-FUNCTION {format.school}
-{ school duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% volume/number/series/chapter/pages
-
-FUNCTION {format.volume}
-{ volume empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      bbl.volume 
-      status.cap
-        { capitalize }
-        { skip$ }
-      if$
-      swap$ tie.or.space.prefix
-      "volume" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number}
-{ number empty.field.to.null.string
-  duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      status.cap
-         { bbl.number capitalize }
-         { bbl.number }
-       if$
-      swap$ tie.or.space.prefix
-      "number" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-FUNCTION {format.number.if.use.for.article}
-{ is.use.number.for.article 
-     { format.number }
-     { "" }
-   if$
-}
-
-% IEEE does not seem to tie the series so closely with the volume
-% and number as is done in other bibliography styles. Instead the
-% series is treated somewhat like an extension of the title.
-FUNCTION {format.series}
-{ series empty$ 
-   { "" }
-   { this.to.prev.status
-     this.status.std
-     bbl.series " " *
-     series "series" bibinfo.check *
-     cap.status.std
-   }
- if$
-}
-
-
-FUNCTION {format.chapter}
-{ chapter empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      type empty$
-        { bbl.chapter }
-        { type "l" change.case$
-          "type" bibinfo.check
-        }
-      if$
-      chapter tie.or.space.prefix
-      "chapter" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-% The intended use of format.paper is for paper numbers of inproceedings.
-% The paper type can be overridden via the type field.
-% We allow the type to be displayed even if the paper number is absent
-% for things like "postdeadline paper"
-FUNCTION {format.paper}
-{ is.use.paper
-     { paper empty$
-        { type empty$
-            { "" }
-            { this.to.prev.status
-              this.status.std
-              type "type" bibinfo.check
-              cap.status.std
-            }
-          if$
-        }
-        { this.to.prev.status
-          this.status.std
-          type empty$
-            { bbl.paper }
-            { type "type" bibinfo.check }
-          if$
-          " " * paper
-          "paper" bibinfo.check
-          *
-          cap.status.std
-        }
-      if$
-     }
-     { "" } 
-   if$
-}
-
-
-FUNCTION {format.pages}
-{ pages duplicate$ empty$ 'skip$
-    { this.to.prev.status
-      this.status.std
-      duplicate$ is.multiple.pages
-        {
-          bbl.pages swap$
-          n.dashify
-        }
-        {
-          bbl.page swap$
-        }
-      if$
-      tie.or.space.prefix
-      "pages" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-
-%% technical report number
-
-FUNCTION {format.tech.report.number}
-{ number "number" bibinfo.check
-  this.to.prev.status
-  this.status.std
-  cap.status.std
-  type duplicate$ empty$
-    { pop$ 
-      bbl.techrep
-    }
-    { skip$ }
-  if$
-  "type" bibinfo.check 
-  swap$ duplicate$ empty$
-    { pop$ }
-    { tie.or.space.prefix * * }
-  if$
-}
-
-
-
-%% note
-
-FUNCTION {format.note}
-{ note empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      punct.period 'this.status.punct :=
-      note #1 #1 substring$
-      duplicate$ "{" =
-        { skip$ }
-        { status.cap
-          { "u" }
-          { "l" }
-        if$
-        change.case$
-        }
-      if$
-      note #2 global.max$ substring$ * "note" bibinfo.check
-      cap.yes  'status.cap :=
-    }
-  if$
-}
-
-
-
-%% patent
-
-FUNCTION {format.patent.date}
-{ this.to.prev.status
-  this.status.std
-  year empty$
-    { monthfiled duplicate$ empty$
-        { "monthfiled" bibinfo.check pop$ "" }
-        { "monthfiled" bibinfo.check }
-      if$
-      dayfiled duplicate$ empty$
-        { "dayfiled" bibinfo.check pop$ "" * }
-        { "dayfiled" bibinfo.check 
-          monthfiled empty$ 
-             { "dayfiled without a monthfiled in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      yearfiled empty$
-        { "no year or yearfiled in " cite$ * warning$ }
-        { yearfiled "yearfiled" bibinfo.check 
-          swap$
-          duplicate$ empty$
-             { pop$ }
-             { ", " * swap$ * }
-           if$
-        }
-      if$
-    }
-    { month duplicate$ empty$
-        { "month" bibinfo.check pop$ "" }
-        { "month" bibinfo.check }
-      if$
-      day duplicate$ empty$
-        { "day" bibinfo.check pop$ "" * }
-        { "day" bibinfo.check 
-          month empty$ 
-             { "day without a month in " cite$ * warning$
-               * 
-             }
-             { " " swap$ * * }
-           if$
-        }
-      if$
-      year "year" bibinfo.check 
-      swap$
-      duplicate$ empty$
-        { pop$ }
-        { ", " * swap$ * }
-      if$
-    }
-  if$
-  cap.status.std
-}
-
-FUNCTION {format.patent.nationality.type.number}
-{ this.to.prev.status
-  this.status.std
-  nationality duplicate$ empty$
-    { "nationality" bibinfo.warn pop$ "" }
-    { "nationality" bibinfo.check
-      duplicate$ "l" change.case$ "united states" =
-        { pop$ bbl.patentUS }
-        { skip$ }
-      if$
-      " " *
-    }
-  if$
-  type empty$
-    { bbl.patent "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.warn pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-
-
-%% standard
-
-FUNCTION {format.organization.institution.standard.type.number}
-{ this.to.prev.status
-  this.status.std
-  organization duplicate$ empty$
-    { pop$ 
-      institution duplicate$ empty$
-        { "institution" bibinfo.warn }
-        { "institution" bibinfo.warn " " * }
-      if$
-    }
-    { "organization" bibinfo.warn " " * }
-  if$
-  type empty$
-    { bbl.standard "type" bibinfo.check }
-    { type "type" bibinfo.check }
-  if$  
-  *
-  number duplicate$ empty$
-    { "number" bibinfo.check pop$ }
-    { "number" bibinfo.check
-      large.number.separate
-      swap$ " " * swap$ *
-    }
-  if$ 
-  cap.status.std
-}
-
-FUNCTION {format.revision}
-{ revision empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      bbl.revision
-      revision tie.or.space.prefix
-      "revision" bibinfo.check
-      * *
-      cap.status.std
-    }
-  if$
-}
-
-
-%% thesis
-
-FUNCTION {format.master.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.mthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-FUNCTION {format.phd.thesis.type}
-{ this.to.prev.status
-  this.status.std
-  type empty$
-    {
-      bbl.phdthesis
-    }
-    { 
-      type "type" bibinfo.check
-    }
-  if$
-cap.status.std
-}
-
-
-
-%% URL
-
-FUNCTION {format.url}
-{ url empty$
-    { "" }
-    { this.to.prev.status
-      this.status.std
-      cap.yes 'status.cap :=
-      name.url.prefix " " *
-      "\url{" * url * "}" *
-      punct.no 'this.status.punct :=
-      punct.period 'prev.status.punct :=
-      space.normal 'this.status.space :=
-      space.normal 'prev.status.space :=
-      quote.no 'this.status.quote :=
-    }
-  if$
-}
-
-
-
-
-%%%%%%%%%%%%%%%%%%%%
-%% ENTRY HANDLERS %%
-%%%%%%%%%%%%%%%%%%%%
-
-
-% Note: In many journals, IEEE (or the authors) tend not to show the number
-% for articles, so the display of the number is controlled here by the
-% switch "is.use.number.for.article"
-FUNCTION {article}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.journal "journal" bibinfo.check "journal" output.warn
-  format.volume output
-  format.number.if.use.for.article output
-  format.pages output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {book}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  author empty$
-    { skip$ }
-    { format.editors output }
-  if$
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {booklet}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {electronic}
-{ std.status.using.period
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.date.electronic output
-  format.article.title.electronic output
-  format.howpublished "howpublished" bibinfo.check output
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inbook}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  author empty$
-    { format.editors "author and editor" output.warn }
-    { format.authors output.nonnull }
-  if$
-  name.or.dash
-  format.book.title.edition output
-  format.series output
-  format.address.publisher.date output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {incollection}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle.edition "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.address.publisher.date.nowarn output
-  format.volume output
-  format.number output
-  format.chapter output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {inproceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.in.booktitle "booktitle" output.warn
-  format.series output
-  format.editors output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.paper output
-  format.pages output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {manual}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title.edition "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {mastersthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.master.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {misc}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization "organization" bibinfo.check output
-  format.address "address" bibinfo.check output
-  format.pages output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {patent}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.article.title output
-  format.patent.nationality.type.number output
-  format.patent.date output
-  format.note output
-  format.url output
-  fin.entry
-  empty.entry.warn
-  if.url.std.interword.spacing
-}
-
-FUNCTION {periodical}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  format.organization "organization" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {phdthesis}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.phd.thesis.type output.nonnull
-  format.school "school" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {proceedings}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.editors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.series output
-  format.volume output
-  format.number output
-  publisher empty$
-    { format.address.organization.date output }
-    { format.organization "organization" bibinfo.check output
-      format.address.publisher.date output
-    }
-  if$
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {standard}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors output
-  name.or.dash
-  format.book.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.organization.institution.standard.type.number output
-  format.revision output
-  format.date output
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {techreport}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.howpublished "howpublished" bibinfo.check output 
-  format.institution "institution" bibinfo.warn output
-  format.address "address" bibinfo.check output
-  format.tech.report.number output.nonnull
-  format.date "year" output.warn
-  format.note output
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-FUNCTION {unpublished}
-{ std.status.using.comma
-  start.entry
-  if.url.alt.interword.spacing
-  format.authors "author" output.warn
-  name.or.dash
-  format.article.title "title" output.warn
-  format.date output
-  format.note "note" output.warn
-  format.url output
-  fin.entry
-  if.url.std.interword.spacing
-}
-
-
-% The special entry type which provides the user interface to the
-% BST controls
-FUNCTION {IEEEtranBSTCTL}
-{ is.print.banners.to.terminal
-    { "** IEEEtran BST control entry " quote$ * cite$ * quote$ * " detected." *
-      top$
-    }
-    { skip$ }
-  if$
-  CTLuse_article_number
-  empty$
-    { skip$ }
-    { CTLuse_article_number
-      yes.no.to.int
-      'is.use.number.for.article :=
-    }
-  if$
-  CTLuse_paper
-  empty$
-    { skip$ }
-    { CTLuse_paper
-      yes.no.to.int
-      'is.use.paper :=
-    }
-  if$
-  CTLuse_forced_etal
-  empty$
-    { skip$ }
-    { CTLuse_forced_etal
-      yes.no.to.int
-      'is.forced.et.al :=
-    }
-  if$
-  CTLmax_names_forced_etal
-  empty$
-    { skip$ }
-    { CTLmax_names_forced_etal
-      string.to.integer
-      'max.num.names.before.forced.et.al :=
-    }
-  if$
-  CTLnames_show_etal
-  empty$
-    { skip$ }
-    { CTLnames_show_etal
-      string.to.integer
-      'num.names.shown.with.forced.et.al :=
-    }
-  if$
-  CTLuse_alt_spacing
-  empty$
-    { skip$ }
-    { CTLuse_alt_spacing
-      yes.no.to.int
-      'is.use.alt.interword.spacing :=
-    }
-  if$
-  CTLalt_stretch_factor
-  empty$
-    { skip$ }
-    { CTLalt_stretch_factor
-      'ALTinterwordstretchfactor :=
-      "\renewcommand{\BIBentryALTinterwordstretchfactor}{"
-      ALTinterwordstretchfactor * "}" *
-      write$ newline$
-    }
-  if$
-  CTLdash_repeated_names
-  empty$
-    { skip$ }
-    { CTLdash_repeated_names
-      yes.no.to.int
-      'is.dash.repeated.names :=
-    }
-  if$
-  CTLname_format_string
-  empty$
-    { skip$ }
-    { CTLname_format_string
-      'name.format.string :=
-    }
-  if$
-  CTLname_latex_cmd
-  empty$
-    { skip$ }
-    { CTLname_latex_cmd
-      'name.latex.cmd :=
-    }
-  if$
-  CTLname_url_prefix
-  missing$
-    { skip$ }
-    { CTLname_url_prefix
-      'name.url.prefix :=
-    }
-  if$
-
-
-  num.names.shown.with.forced.et.al max.num.names.before.forced.et.al >
-    { "CTLnames_show_etal cannot be greater than CTLmax_names_forced_etal in " cite$ * warning$ 
-      max.num.names.before.forced.et.al 'num.names.shown.with.forced.et.al :=
-    }
-    { skip$ }
-  if$
-}
-
-
-%%%%%%%%%%%%%%%%%%%
-%% ENTRY ALIASES %%
-%%%%%%%%%%%%%%%%%%%
-FUNCTION {conference}{inproceedings}
-FUNCTION {online}{electronic}
-FUNCTION {internet}{electronic}
-FUNCTION {webpage}{electronic}
-FUNCTION {www}{electronic}
-FUNCTION {default.type}{misc}
-
-
-
-%%%%%%%%%%%%%%%%%%
-%% MAIN PROGRAM %%
-%%%%%%%%%%%%%%%%%%
-
-READ
-
-EXECUTE {initialize.controls}
-EXECUTE {initialize.status.constants}
-EXECUTE {banner.message}
-
-
-
-% BEGIN sort code based on that of plain.bst
-
-FUNCTION {sortify}
-{ purify$
-  "l" change.case$
-}
-
-INTEGERS { len }
-
-FUNCTION {chop.word}
-{ 's :=
-  'len :=
-  s #1 len substring$ =
-    { s len #1 + global.max$ substring$ }
-    { s }
-  if$
-}
-
-FUNCTION {sort.format.names}
-{ 's :=
-  #1 'nameptr :=
-  ""
-  s num.names$ 'numnames :=
-  numnames 'namesleft :=
-    { namesleft #0 > }
-    { nameptr #1 >
-        { "   " * }
-        { skip$ }
-      if$
-      s nameptr "{vv{ } }{ll{ }}{  ff{ }}{  jj{ }}" format.name$ 't :=
-      nameptr numnames = t "others" = and
-        { "et al" * }
-        { t sortify * }
-      if$
-      nameptr #1 + 'nameptr :=
-      namesleft #1 - 'namesleft :=
-    }
-  while$
-}
-
-FUNCTION {sort.format.title}
-{ 't :=
-  "A " #2
-    "An " #3
-      "The " #4 t chop.word
-    chop.word
-  chop.word
-  sortify
-  #1 global.max$ substring$
-}
-
-FUNCTION {author.sort}
-{ author empty$
-    { key empty$
-        { "to sort, need author or key in " cite$ * warning$ "" }
-        { key sortify }
-      if$
-    }
-    { author sort.format.names }
-  if$
-}
-
-FUNCTION {author.editor.sort}
-{ author empty$
-    { editor empty$
-        { key empty$
-            { "to sort, need author, editor, or key in " cite$ * warning$ "" }
-            { key sortify }
-          if$
-        }
-        { editor sort.format.names }
-      if$
-    }
-    { author sort.format.names }
-  if$
-}
-
-FUNCTION {author.organization.sort}
-{ author empty$
-    { organization empty$
-        { key empty$
-            { "to sort, need author, organization, or key in " cite$ * warning$ "" }
-            { key sortify }
-          if$
-        }
-        { "The " #4 organization chop.word sortify }
-      if$
-    }
-    { author sort.format.names }
-  if$
-}
-
-FUNCTION {editor.organization.sort}
-{ editor empty$
-    { organization empty$
-        { key empty$
-            { "to sort, need editor, organization, or key in " cite$ * warning$ "" }
-            { key sortify }
-          if$
-        }
-        { "The " #4 organization chop.word sortify }
-      if$
-    }
-    { editor sort.format.names }
-  if$
-}
-
-FUNCTION {author.organization.institution.sort}
-{ author empty$
-    { organization empty$
-        { institution empty$
-            { key empty$
-                { "to sort, need author, organization, institution or key in " cite$ * warning$ "" }
-                { key sortify }
-              if$
-            }
-            { "The " #4 institution chop.word sortify }
-          if$
-        }
-        { "The " #4 organization chop.word sortify }
-      if$
-    }
-    { author sort.format.names }
-  if$
-}
-
-
-FUNCTION {presort}
-{ type$ "ieeetranbstctl" =
-    { key empty$
-        { "_" }
-        { key sortify }
-      if$
-    }
-    { type$ "book" =
-      type$ "inbook" =
-      or 
-        { author.editor.sort }
-        { type$ "proceedings" =
-          type$ "periodical" =
-          or
-            { editor.organization.sort }
-            { type$ "manual" =
-              type$ "electronic" =
-              type$ "misc" =
-              or or
-                { author.organization.sort }
-                { type$ "standard" =
-                   { author.organization.institution.sort }
-                   { author.sort }
-                 if$ 
-                }
-              if$
-            }
-          if$
-        }
-      if$
-      "    "
-      *
-      type$ "patent" =
-        { year empty$
-          { yearfiled }
-          { year }
-        if$
-        }
-        { year }
-      if$
-      empty.field.to.null.string sortify
-      *
-      "    "
-      *
-      title empty.field.to.null.string
-      sort.format.title
-      *
-    }
-  if$
-  #1 entry.max$ substring$
-  'sort.key$ :=
-}
-
-ITERATE {presort}
-
-SORT
-
-% END sort code based on that of plain.bst
-
-
-
-EXECUTE {initialize.longest.label}
-ITERATE {longest.label.pass}
-
-EXECUTE {begin.bib}
-ITERATE {call.type$}
-EXECUTE {end.bib}
-
-EXECUTE{completed.message}
-
-
-%% That's all folks, mds.
diff --git a/mpi-energy2-extension/IEEEtran/IEEEtran_HOWTO.pdf b/mpi-energy2-extension/IEEEtran/IEEEtran_HOWTO.pdf
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diff --git a/mpi-energy2-extension/IEEEtran/README b/mpi-energy2-extension/IEEEtran/README
deleted file mode 100644
index 3d3d61c..0000000
--- a/mpi-energy2-extension/IEEEtran/README
+++ /dev/null
@@ -1,144 +0,0 @@
-
-January 11, 2007
-
-
-IEEEtran.bst is the official BibTeX style for authors of the Institute of
-Electrical and Electronics Engineers (IEEE) Transactions journals and
-conferences.
-
-It also may have applications for other academic work such as theses and
-technical reports. The alphanumeric and natbib variants extend the
-applicability of the IEEEtran bibstyle family to the natural sciences
-and beyond.
-
-The IEEEtran bibstyle is a very comprehensive BibTeX style which provides
-many features beyond the standard BibTeX styles, including full support
-for references of online documents, patents, periodicals and standards.
-See the provided user manual for detailed usage information.
-
-The latest version of the IEEEtran BibTeX style can be found at CTAN:
-
-http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/bibtex/
-
-as well as within IEEE's site:
-
-http://www.ieee.org/
-
-Note that the packages at IEEE's site do not contain the natbib and
-alphanumeric variants (e.g., IEEEtranN.bst, etc.) as these are not used
-for IEEE related work. These files can be obtained on CTAN.
-
-For helpful tips, answers to frequently asked questions and other support,
-visit the IEEEtran home page at my website:
-
-http://www.michaelshell.org/tex/ieeetran/
-
-
-Enjoy!
-
-Michael Shell
-http://www.michaelshell.org/
-
-*******
-Version 1.12 (2007/01/11) changes:
-
- 1. Fixed bug with unwanted comma before "et al." when an entry contained
-    more than two author names. Thanks to Pallav Gupta for reporting this.
-
- 2. Fixed bug with anomalous closing quote in tech reports that have a
-    type, but without a number or address. Thanks to Mehrdad Mirreza for
-    reporting this.
-
- 3. Use braces in \providecommand in begin.bib to better support
-    latex2html. TeX style length assignments OK with recent versions
-    of latex2html - 1.71 (2002/2/1) or later is strongly recommended.
-    Use of the language field still causes trouble with latex2html.
-    Thanks to Federico Beffa for reporting this.
-
- 4. Added IEEEtran.bst ID and version comment string to .bbl output.
-
- 5. Provide a \BIBdecl hook that allows the user to execute commands
-    just prior to the first entry.
-
- 6. Use default urlstyle (is using url.sty) of "same" rather than rm to
-    better work with a wider variety of bibliography styles.
-
- 7. Changed month abbreviations from Sept., July and June to Sep., Jul.,
-    and Jun., respectively, as IEEE now does. Thanks to Moritz Borgmann
-    for reporting this.
-
- 8. Control entry types should not be considered when calculating longest
-    label width.
-
- 9. Added alias www for electronic/online.
-
-10. Updated full and abbreviated journal name string definitions in
-    IEEEfull.bib and IEEEabrv.bib.
-
-11. New IEEEtranSA.bst, IEEEtranN.bst, and IEEEtranSN.bst variants for
-    alphanumeric citation tags and natbib compatibility.
-
-
-********************************** Files **********************************
-
-README                 - This file.
-
-IEEEtran_bst_HOWTO.pdf - The user manual.
-
-IEEEtran.bst           - The standard IEEEtran BibTeX style file. For use
-                         with IEEE work.
-
-IEEEtranS.bst          - A version of IEEEtran.bst that sorts the entries.
-                         Some IEEE conferences/publications may use/allow
-                         sorted bibliographies.
-
-IEEEexample.bib        - An example BibTeX database that contains the
-                         references shown in the user manual.
-
-IEEEabrv.bib           - String definitions for the abbreviated names of
-                         IEEE journals. (For use with IEEE work.)
-                         
-IEEEfull.bib           - String definitions for the full names of IEEE
-                         journals. (Do not use for IEEE work.)
-
-
-Carried on CTAN only, for non-IEEE related work:
-
-IEEEtranSA.bst         - Like IEEEtranS.bst, but with alphanumeric citation
-                         tags like alpha.bst. Not for normal IEEE use.
-
-EEEtranN.bst          - Like IEEEtran.bst, but based on plainnat.bst and
-                         is compatible with Patrick W. Daly's natbib
-                         package. Not for normal IEEE use.
-
-IEEEtranSN.bst         - Sorting version of IEEEtranN.bst. Not for normal
-                         IEEE use
-
-***************************************************************************
-Legal Notice:
-This code is offered as-is without any warranty either expressed or
-implied; without even the implied warranty of MERCHANTABILITY or
-FITNESS FOR A PARTICULAR PURPOSE! 
-User assumes all risk.
-In no event shall IEEE or any contributor to this code be liable for
-any damages or losses, including, but not limited to, incidental,
-consequential, or any other damages, resulting from the use or misuse
-of any information contained here.
-
-All comments are the opinions of their respective authors and are not
-necessarily endorsed by the IEEE.
-
-This work is distributed under the LaTeX Project Public License (LPPL)
-( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-distributed and modified. A copy of the LPPL, version 1.3, is included
-in the base LaTeX documentation of all distributions of LaTeX released
-2003/12/01 or later.
-Retain all contribution notices and credits.
-** Modified files should be clearly indicated as such, including  **
-** renaming them and changing author support contact information. **
-
-File list of work: IEEEtran_bst_HOWTO.pdf, IEEEtran.bst, IEEEtranS.bst,
-                   IEEEtranSA.bst, IEEEtranN.bst, IEEEtranSN.bst,
-                   IEEEexample.bib, IEEEabrv.bib, IEEEfull.bib
-                   
-***************************************************************************
diff --git a/mpi-energy2-extension/IEEEtran/bare_adv.tex b/mpi-energy2-extension/IEEEtran/bare_adv.tex
deleted file mode 100644
index 0007bec..0000000
--- a/mpi-energy2-extension/IEEEtran/bare_adv.tex
+++ /dev/null
@@ -1,1100 +0,0 @@
-
-%% bare_adv.tex
-%% V1.3
-%% 2007/01/11
-%% by Michael Shell
-%% See: 
-%% http://www.michaelshell.org/
-%% for current contact information.
-%%
-%% This is a skeleton file demonstrating the advanced use of IEEEtran.cls
-%% (requires IEEEtran.cls version 1.7 or later) with an IEEE Computer
-%% Society journal paper.
-%%
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%%*************************************************************************
-
-% *** Authors should verify (and, if needed, correct) their LaTeX system  ***
-% *** with the testflow diagnostic prior to trusting their LaTeX platform ***
-% *** with production work. IEEE's font choices can trigger bugs that do  ***
-% *** not appear when using other class files.                            ***
-% The testflow support page is at:
-% http://www.michaelshell.org/tex/testflow/
-
-
-
-% IEEEtran V1.7 and later provides for these CLASSINPUT macros to allow the
-% user to reprogram some IEEEtran.cls defaults if needed. These settings
-% override the internal defaults of IEEEtran.cls regardless of which class
-% options are used. Do not use these unless you have good reason to do so as
-% they can result in nonIEEE compliant documents. User beware. ;)
-%
-%\newcommand{\CLASSINPUTbaselinestretch}{1.0} % baselinestretch
-%\newcommand{\CLASSINPUTinnersidemargin}{1in} % inner side margin
-%\newcommand{\CLASSINPUToutersidemargin}{1in} % outer side margin
-%\newcommand{\CLASSINPUTtoptextmargin}{1in}   % top text margin
-%\newcommand{\CLASSINPUTbottomtextmargin}{1in}% bottom text margin
-
-
-
-% Note that the a4paper option is mainly intended so that authors in
-% countries using A4 can easily print to A4 and see how their papers will
-% look in print - the typesetting of the document will not typically be
-% affected with changes in paper size (but the bottom and side margins will).
-% Use the testflow package mentioned above to verify correct handling of
-% both paper sizes by the user's LaTeX system.
-%
-% Also note that the "draftcls" or "draftclsnofoot", not "draft", option
-% should be used if it is desired that the figures are to be displayed in
-% draft mode.
-%
-\documentclass[12pt,journal,compsoc]{IEEEtran}
-% The Computer Society requires 12pt.
-% If IEEEtran.cls has not been installed into the LaTeX system files,
-% manually specify the path to it like:
-% \documentclass[10pt,journal,compsoc]{../sty/IEEEtran}
-
-
-% For Computer Society journals, IEEEtran defaults to the use of 
-% Palatino/Palladio as is done in IEEE Computer Society journals.
-% To go back to Times Roman, you can use this code:
-%\renewcommand{\rmdefault}{ptm}\selectfont
-
-
-
-
-
-% Some very useful LaTeX packages include:
-% (uncomment the ones you want to load)
-
-
-
-% *** MISC UTILITY PACKAGES ***
-%
-%\usepackage{ifpdf}
-% Heiko Oberdiek's ifpdf.sty is very useful if you need conditional
-% compilation based on whether the output is pdf or dvi.
-% usage:
-% \ifpdf
-%   % pdf code
-% \else
-%   % dvi code
-% \fi
-% The latest version of ifpdf.sty can be obtained from:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/oberdiek/
-% Also, note that IEEEtran.cls V1.7 and later provides a builtin
-% \ifCLASSINFOpdf conditional that works the same way.
-% When switching from latex to pdflatex and vice-versa, the compiler may
-% have to be run twice to clear warning/error messages.
-
-
-
-
-
-
-% *** CITATION PACKAGES ***
-%
-\ifCLASSOPTIONcompsoc
-  % IEEE Computer Society needs nocompress option
-  % requires cite.sty v4.0 or later (November 2003)
-  % \usepackage[nocompress]{cite}
-\else
-  % normal IEEE
-  % \usepackage{cite}
-\fi
-% cite.sty was written by Donald Arseneau
-% V1.6 and later of IEEEtran pre-defines the format of the cite.sty package
-% \cite{} output to follow that of IEEE. Loading the cite package will
-% result in citation numbers being automatically sorted and properly
-% "compressed/ranged". e.g., [1], [9], [2], [7], [5], [6] without using
-% cite.sty will become [1], [2], [5]--[7], [9] using cite.sty. cite.sty's
-% \cite will automatically add leading space, if needed. Use cite.sty's
-% noadjust option (cite.sty V3.8 and later) if you want to turn this off.
-% cite.sty is already installed on most LaTeX systems. Be sure and use
-% version 4.0 (2003-05-27) and later if using hyperref.sty. cite.sty does
-% not currently provide for hyperlinked citations.
-% The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/cite/
-% The documentation is contained in the cite.sty file itself.
-%
-% Note that some packages require special options to format as the Computer
-% Society requires. In particular, Computer Society  papers do not use
-% compressed citation ranges as is done in typical IEEE papers
-% (e.g., [1]-[4]). Instead, they list every citation separately in order
-% (e.g., [1], [2], [3], [4]). To get the latter we need to load the cite
-% package with the nocompress option which is supported by cite.sty v4.0
-% and later. Note also the use of a CLASSOPTION conditional provided by
-% IEEEtran.cls V1.7 and later.
-
-
-
-
-
-% *** GRAPHICS RELATED PACKAGES ***
-%
-\ifCLASSINFOpdf
-  % \usepackage[pdftex]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../pdf/}{../jpeg/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.pdf,.jpeg,.png}
-\else
-  % or other class option (dvipsone, dvipdf, if not using dvips). graphicx
-  % will default to the driver specified in the system graphics.cfg if no
-  % driver is specified.
-  % \usepackage[dvips]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../eps/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.eps}
-\fi
-% graphicx was written by David Carlisle and Sebastian Rahtz. It is
-% required if you want graphics, photos, etc. graphicx.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at: 
-% http://www.ctan.org/tex-archive/macros/latex/required/graphics/
-% Another good source of documentation is "Using Imported Graphics in
-% LaTeX2e" by Keith Reckdahl which can be found as epslatex.ps or
-% epslatex.pdf at: http://www.ctan.org/tex-archive/info/
-%
-% latex, and pdflatex in dvi mode, support graphics in encapsulated
-% postscript (.eps) format. pdflatex in pdf mode supports graphics
-% in .pdf, .jpeg, .png and .mps (metapost) formats. Users should ensure
-% that all non-photo figures use a vector format (.eps, .pdf, .mps) and
-% not a bitmapped formats (.jpeg, .png). IEEE frowns on bitmapped formats
-% which can result in "jaggedy"/blurry rendering of lines and letters as
-% well as large increases in file sizes.
-%
-% You can find documentation about the pdfTeX application at:
-% http://www.tug.org/applications/pdftex
-
-
-
-%\usepackage{ps4pdf}
-% dvi->ps workflow is required to use such packages as psfrag.sty and
-% pstricks.sty. However, Rolf Niepraschk's ps4pdf.sty provides a way to
-% apply psfrag/pstricks effects to .eps figures and then get the resultant
-% figures in .pdf form. Thus, providing an easier way for migrating from
-% .eps to .pdf figures. After ps4pdf.sty loads, if:
-% 1. producing .dvi output: the output file will consist ONLY of the
-%    figures (or other constructs encased within \PSforPDF commands)
-% 2. producing .pdf output: pdflatex will look in the filename-pics.pdf
-%    file, where filename is the basename of the tex document, for the
-%    graphics (or other constructs encased within \PSforPDF commands).
-%    NOTE: If you ever change your figures, you must remember to remake
-%    the filename-pics.pdf file.
-%
-% This way you can do a:
-% 
-% latex filename
-% dvips -Ppdf -o filename-pics.ps filename.dvi
-% ps2pdf filename-pics.ps filename-pics.pdf
-% 
-% to produce a filename-pics.pdf graphics container that contains
-% .pdf versions of the graphics with psfrag, pstricks, etc. features.
-% Note that you will not typically be able to view the figures in 
-% filename-pics.ps because of an offset. However, you will be able to
-% view them in filename-pics.pdf. Also, note that when ps4pdf is in effect
-% with .dvi output, you may get harmless over/under full box warnings - 
-% ignore them. 
-% Then, run pdflatex:
-% 
-% pdflatex filename
-% 
-% to use pdflatex to make PDF output, automatically using the figures in
-% filename-pics.pdf. Alternatively, you could use dvips -i option to
-% obtain separate .pdf files for each figure:
-%
-% dvips -Ppdf -i -E -o fig filename
-%
-% then convert each figure to pdf via a command such as epstopdf and then
-% use pdflatex with these pdf figures and then to dispense with ps4pdf.
-%
-% Remember to rerun through latex/dvips/ps2pdf if you ever change your
-% figures so that filename-pics.pdf gets updated.
-% ps4pdf requires David Kastrup's preview-latex and a recent LaTeX system
-% (circa 2001 or later). The ps4pdf package and documentation can be
-% obtained at: http://www.ctan.org/tex-archive/macros/latex/contrib/ps4pdf/
-% The preview-latex package and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/preview/
-%
-% provide a bogus \PSforPDF, even when not loading pd4pdf. This way we can
-% stop loading ps4pdf.sty if we choose to make separate .pdf versions of
-% each of our figures.
-\providecommand{\PSforPDF}[1]{#1}
-% Note that in order for ps4pdf to work, all commands related to psfrag,
-% pstricks, etc. must be called within the PSforPDF command. This applies
-% even when *loading* via \usepackage psfrag.sty, etc.
-
-
-%\PSforPDF{\usepackage{psfrag}}
-% psfrag.sty was written by Craig Barratt, Michael C. Grant, and
-% David Carlisle. It allows you to substitute LaTeX commands for text in
-% imported EPS graphic files. In this way, LaTeX symbols can be placed into
-% graphics that have been generated by other applications. You must use
-% latex->dvips->ps2pdf workflow (not direct pdf output from pdflatex) if
-% you wish to use this capability because it works via some PostScript
-% tricks. Alternatively, the graphics could be processed as separate files
-% via psfrag and dvips, then converted to PDF for inclusion in the main file
-% which uses pdflatex. ps4pdf.sty (above) provides a way of doing this all
-% at once within the main file.
-% Docs are in "The PSfrag System" by Michael C. Grant and David Carlisle.
-% There is also some information about using psfrag in "Using Imported
-% Graphics in LaTeX2e" by Keith Reckdahl which documents the graphicx
-% package (see above). The psfrag package and documentation can be obtained
-% at: http://www.ctan.org/tex-archive/macros/latex/contrib/psfrag/
-% 
-% Note that the current version of psfrag does not "turn itself off" when
-% running under pdf output. This will result in a harmless warning
-% about a non-PDF \special. However, to silence this, a bogus psfrag
-% command can be provided instead of loading psfrag.sty when PDF output
-% is being used. Thus, a more complex alternative conditional loading scheme
-% can be employed instead of the straightforword way above:
-%
-%\ifCLASSINFOpdf
-% if outputting PDF, do not use or load psfrag.sty as current versions
-% output a non-PDF special that generates a harmless, but annoying warning.
-% Instead, we provide a bogus \psfrag command that does nothing with
-% its arguments. This is a tad tricky because \psfrag can have up to six
-% arguments four of which are optional: \psfrag{}[][][][]{}
-% Code based on that in psfrag.sty
-%\makeatletter
-%\def\psfrag{\@ifstar{\@BOGUSpsfraga}{\@BOGUSpsfraga}}
-%\def\@BOGUSpsfraga{\begingroup
-%   \@makeother\"\@makeother\*\@makeother\!\@makeother\~%
-%   \@makeother\:\@makeother\\\@makeother\%\@makeother\#%
-%   \@makeother\ \@BOGUSpsfragb}
-%\def\@BOGUSpsfragb#1{\endgroup
-%                \@ifnextchar [{\@BOGUSpsfragc}%
-%                              {\@BOGUSpsfrag}}
-%\def\@BOGUSpsfragc[#1]{\@ifnextchar [{\@BOGUSpsfragd}%
-%                                     {\@BOGUSpsfrag}}
-%\def\@BOGUSpsfragd[#1]{\@ifnextchar [{\@BOGUSpsfrage}%
-%                                     {\@BOGUSpsfrag}}
-%\def\@BOGUSpsfrage[#1]{\@ifnextchar [{\@BOGUSpsfragf}%
-%                                     {\@BOGUSpsfrag}}
-%\def\@BOGUSpsfragf[#1]{\@BOGUSpsfrag}
-%\def\@BOGUSpsfrag#1{\ignorespaces}
-%\makeatother
-%\else
-% using dvi output, load psfrag, but funnel it through PSforPDF
-% as required by ps4pdf.sty
-%\PSforPDF{\usepackage{psfrag}}
-%\fi
-
-
-
-
-
-% *** MATH PACKAGES ***
-%
-%\usepackage[cmex10]{amsmath}
-% A popular package from the American Mathematical Society that provides
-% many useful and powerful commands for dealing with mathematics. If using
-% it, be sure to load this package with the cmex10 option to ensure that
-% only type 1 fonts will utilized at all point sizes. Without this option,
-% it is possible that some math symbols, particularly those within
-% footnotes, will be rendered in bitmap form which will result in a
-% document that can not be IEEE Xplore compliant!
-%
-% Also, note that the amsmath package sets \interdisplaylinepenalty to 10000
-% thus preventing page breaks from occurring within multiline equations. Use:
-%\interdisplaylinepenalty=2500
-% after loading amsmath to restore such page breaks as IEEEtran.cls normally
-% does. amsmath.sty is already installed on most LaTeX systems. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/
-
-
-
-
-
-% *** SPECIALIZED LIST PACKAGES ***
-%\usepackage{acronym}
-% acronym.sty was written by Tobias Oetiker. This package provides tools for
-% managing documents with large numbers of acronyms. (You don't *have* to
-% use this package - unless you have a lot of acronyms, you may feel that
-% such package management of them is bit of an overkill.)
-% Do note that the acronym environment (which lists acronyms) will have a
-% problem when used under IEEEtran.cls because acronym.sty relies on the
-% description list environment - which IEEEtran.cls has customized for
-% producing IEEE style lists. A workaround is to declared the longest
-% label width via the IEEEtran.cls \IEEEiedlistdecl global control:
-%
-% \renewcommand{\IEEEiedlistdecl}{\IEEEsetlabelwidth{SONET}}
-% \begin{acronym}
-%
-% \end{acronym}
-% \renewcommand{\IEEEiedlistdecl}{\relax}% remember to reset \IEEEiedlistdecl
-%
-% instead of using the acronym environment's optional argument.
-% The latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/acronym/
-
-
-%\usepackage{algorithmic}
-% algorithmic.sty was written by Peter Williams and Rogerio Brito.
-% This package provides an algorithmic environment fo describing algorithms.
-% You can use the algorithmic environment in-text or within a figure
-% environment to provide for a floating algorithm. Do NOT use the algorithm
-% floating environment provided by algorithm.sty (by the same authors) or
-% algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated
-% algorithm float types and packages that provide these will not provide
-% correct IEEE style captions. The latest version and documentation of
-% algorithmic.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithms/
-% There is also a support site at:
-% http://algorithms.berlios.de/index.html
-% Also of interest may be the (relatively newer and more customizable)
-% algorithmicx.sty package by Szasz Janos:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithmicx/
-
-
-
-
-% *** ALIGNMENT PACKAGES ***
-%
-%\usepackage{array}
-% Frank Mittelbach's and David Carlisle's array.sty patches and improves
-% the standard LaTeX2e array and tabular environments to provide better
-% appearance and additional user controls. As the default LaTeX2e table
-% generation code is lacking to the point of almost being broken with
-% respect to the quality of the end results, all users are strongly
-% advised to use an enhanced (at the very least that provided by array.sty)
-% set of table tools. array.sty is already installed on most systems. The
-% latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/tools/
-
-
-%\usepackage{mdwmath}
-%\usepackage{mdwtab}
-% Also highly recommended is Mark Wooding's extremely powerful MDW tools,
-% especially mdwmath.sty and mdwtab.sty which are used to format equations
-% and tables, respectively. The MDWtools set is already installed on most
-% LaTeX systems. The lastest version and documentation is available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/mdwtools/
-
-
-% IEEEtran contains the IEEEeqnarray family of commands that can be used to
-% generate multiline equations as well as matrices, tables, etc., of high
-% quality.
-
-
-%\usepackage{eqparbox}
-% Also of notable interest is Scott Pakin's eqparbox package for creating
-% (automatically sized) equal width boxes - aka "natural width parboxes".
-% Available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/eqparbox/
-
-
-
-
-
-% *** SUBFIGURE PACKAGES ***
-%\ifCLASSOPTIONcompsoc
-%\usepackage[tight,normalsize,sf,SF]{subfigure}
-%\else
-%\usepackage[tight,footnotesize]{subfigure}
-%\fi
-% subfigure.sty was written by Steven Douglas Cochran. This package makes it
-% easy to put subfigures in your figures. e.g., "Figure 1a and 1b". For IEEE
-% work, it is a good idea to load it with the tight package option to reduce
-% the amount of white space around the subfigures. Computer Society papers
-% use a larger font and \sffamily font for their captions, hence the
-% additional options needed under compsoc mode. subfigure.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at:
-% http://www.ctan.org/tex-archive/obsolete/macros/latex/contrib/subfigure/
-% subfigure.sty has been superceeded by subfig.sty.
-
-
-%\ifCLASSOPTIONcompsoc
-%  \usepackage[caption=false]{caption}
-%  \usepackage[font=normalsize,labelfont=sf,textfont=sf]{subfig}
-%\else
-%  \usepackage[caption=false]{caption}
-%  \usepackage[font=footnotesize]{subfig}
-%\fi
-% subfig.sty, also written by Steven Douglas Cochran, is the modern
-% replacement for subfigure.sty. However, subfig.sty requires and
-% automatically loads Axel Sommerfeldt's caption.sty which will override
-% IEEEtran.cls handling of captions and this will result in nonIEEE style
-% figure/table captions. To prevent this problem, be sure and preload
-% caption.sty with its "caption=false" package option. This is will preserve
-% IEEEtran.cls handing of captions. Version 1.3 (2005/06/28) and later 
-% (recommended due to many improvements over 1.2) of subfig.sty supports
-% the caption=false option directly:
-%\ifCLASSOPTIONcompsoc
-%  \usepackage[caption=false,font=normalsize,labelfont=sf,textfont=sf]{subfig}
-%\else
-%  \usepackage[caption=false,font=footnotesize]{subfig}
-%\fi
-%
-% The latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/subfig/
-% The latest version and documentation of caption.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/caption/
-
-
-
-
-% *** FLOAT PACKAGES ***
-%
-%\usepackage{fixltx2e}
-% fixltx2e, the successor to the earlier fix2col.sty, was written by
-% Frank Mittelbach and David Carlisle. This package corrects a few problems
-% in the LaTeX2e kernel, the most notable of which is that in current
-% LaTeX2e releases, the ordering of single and double column floats is not
-% guaranteed to be preserved. Thus, an unpatched LaTeX2e can allow a
-% single column figure to be placed prior to an earlier double column
-% figure. The latest version and documentation can be found at:
-% http://www.ctan.org/tex-archive/macros/latex/base/
-
-
-%\usepackage{stfloats}
-% stfloats.sty was written by Sigitas Tolusis. This package gives LaTeX2e
-% the ability to do double column floats at the bottom of the page as well
-% as the top. (e.g., "\begin{figure*}[!b]" is not normally possible in
-% LaTeX2e). It also provides a command:
-%\fnbelowfloat
-% to enable the placement of footnotes below bottom floats (the standard
-% LaTeX2e kernel puts them above bottom floats). This is an invasive package
-% which rewrites many portions of the LaTeX2e float routines. It may not work
-% with other packages that modify the LaTeX2e float routines. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/sttools/
-% Documentation is contained in the stfloats.sty comments as well as in the
-% presfull.pdf file. Do not use the stfloats baselinefloat ability as IEEE
-% does not allow \baselineskip to stretch. Authors submitting work to the
-% IEEE should note that IEEE rarely uses double column equations and
-% that authors should try to avoid such use. Do not be tempted to use the
-% cuted.sty or midfloat.sty packages (also by Sigitas Tolusis) as IEEE does
-% not format its papers in such ways.
-
-
-%\ifCLASSOPTIONcaptionsoff
-%  \usepackage[nomarkers]{endfloat}
-% \let\MYoriglatexcaption\caption
-% \renewcommand{\caption}[2][\relax]{\MYoriglatexcaption[#2]{#2}}
-%\fi
-% endfloat.sty was written by James Darrell McCauley and Jeff Goldberg.
-% This package may be useful when used in conjunction with IEEEtran.cls'
-% captionsoff option. Some IEEE journals/societies require that submissions
-% have lists of figures/tables at the end of the paper and that
-% figures/tables without any captions are placed on a page by themselves at
-% the end of the document. If needed, the draftcls IEEEtran class option or
-% \CLASSINPUTbaselinestretch interface can be used to increase the line
-% spacing as well. Be sure and use the nomarkers option of endfloat to
-% prevent endfloat from "marking" where the figures would have been placed
-% in the text. The two hack lines of code above are a slight modification of
-% that suggested by in the endfloat docs (section 8.3.1) to ensure that
-% the full captions always appear in the list of figures/tables - even if
-% the user used the short optional argument of \caption[]{}.
-% IEEE papers do not typically make use of \caption[]'s optional argument,
-% so this should not be an issue. A similar trick can be used to disable
-% captions of packages such as subfig.sty that lack options to turn off
-% the subcaptions:
-% For subfig.sty:
-% \let\MYorigsubfloat\subfloat
-% \renewcommand{\subfloat}[2][\relax]{\MYorigsubfloat[]{#2}}
-% For subfigure.sty:
-% \let\MYorigsubfigure\subfigure
-% \renewcommand{\subfigure}[2][\relax]{\MYorigsubfigure[]{#2}}
-% However, the above trick will not work if both optional arguments of
-% the \subfloat/subfig command are used. Furthermore, there needs to be a
-% description of each subfigure *somewhere* and endfloat does not add
-% subfigure captions to its list of figures. Thus, the best approach is to
-% avoid the use of subfigure captions (many IEEE journals avoid them anyway)
-% and instead reference/explain all the subfigures within the main caption.
-% The latest version of endfloat.sty and its documentation can obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/endfloat/
-%
-% The IEEEtran \ifCLASSOPTIONcaptionsoff conditional can also be used
-% later in the document, say, to conditionally put the References on a 
-% page by themselves.
-
-
-
-
-
-% *** PDF, URL AND HYPERLINK PACKAGES ***
-%
-%\usepackage{url}
-% url.sty was written by Donald Arseneau. It provides better support for
-% handling and breaking URLs. url.sty is already installed on most LaTeX
-% systems. The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/misc/
-% Read the url.sty source comments for usage information. Basically,
-% \url{my_url_here}.
-
-
-% NOTE: PDF thumbnail features are not required in IEEE papers
-%       and their use requires extra complexity and work.
-%\ifCLASSINFOpdf
-%  \usepackage[pdftex]{thumbpdf}
-%\else
-%  \usepackage[dvips]{thumbpdf}
-%\fi
-% thumbpdf.sty and its companion Perl utility were written by Heiko Oberdiek.
-% It allows the user a way to produce PDF documents that contain fancy
-% thumbnail images of each of the pages (which tools like acrobat reader can
-% utilize). This is possible even when using dvi->ps->pdf workflow if the
-% correct thumbpdf driver options are used. thumbpdf.sty incorporates the
-% file containing the PDF thumbnail information (filename.tpm is used with
-% dvips, filename.tpt is used with pdftex, where filename is the base name of
-% your tex document) into the final ps or pdf output document. An external
-% utility, the thumbpdf *Perl script* is needed to make these .tpm or .tpt
-% thumbnail files from a .ps or .pdf version of the document (which obviously
-% does not yet contain pdf thumbnails). Thus, one does a:
-% 
-% thumbpdf filename.pdf 
-%
-% to make a filename.tpt, and:
-%
-% thumbpdf --mode dvips filename.ps
-%
-% to make a filename.tpm which will then be loaded into the document by
-% thumbpdf.sty the NEXT time the document is compiled (by pdflatex or
-% latex->dvips->ps2pdf). Users must be careful to regenerate the .tpt and/or
-% .tpm files if the main document changes and then to recompile the
-% document to incorporate the revised thumbnails to ensure that thumbnails
-% match the actual pages. It is easy to forget to do this!
-% 
-% Unix systems come with a Perl interpreter. However, MS Windows users
-% will usually have to install a Perl interpreter so that the thumbpdf
-% script can be run. The Ghostscript PS/PDF interpreter is also required.
-% See the thumbpdf docs for details. The latest version and documentation
-% can be obtained at.
-% http://www.ctan.org/tex-archive/support/thumbpdf/
-% Be sure and use only version 3.8 (2005/07/06) or later of thumbpdf as
-% earlier versions will not work properly with recent versions of pdfTeX
-% (1.20a and later).
-
-
-% NOTE: PDF hyperlink and bookmark features are not required in IEEE
-%       papers and their use requires extra complexity and work.
-% *** IF USING HYPERREF BE SURE AND CHANGE THE EXAMPLE PDF ***
-% *** TITLE/SUBJECT/AUTHOR/KEYWORDS INFO BELOW!!           ***
-\newcommand\MYhyperrefoptions{bookmarks=true,bookmarksnumbered=true,
-pdfpagemode={UseOutlines},plainpages=false,pdfpagelabels=true,
-colorlinks=true,linkcolor={black},citecolor={black},pagecolor={black},
-urlcolor={black},
-pdftitle={Bare Demo of IEEEtran.cls for Computer Society Journals},%<!CHANGE!
-pdfsubject={Typesetting},%<!CHANGE!
-pdfauthor={Michael D. Shell},%<!CHANGE!
-pdfkeywords={Computer Society, IEEEtran, journal, LaTeX, paper,
-             template}}%<^!CHANGE!
-%\ifCLASSINFOpdf
-%\usepackage[\MYhyperrefoptions,pdftex]{hyperref}
-%\else
-%\usepackage[\MYhyperrefoptions,breaklinks=true,dvips]{hyperref}
-%\usepackage{breakurl}
-%\fi
-% One significant drawback of using hyperref under DVI output is that the
-% LaTeX compiler cannot break URLs across lines or pages as can be done
-% under pdfLaTeX's PDF output via the hyperref pdftex driver. This is
-% probably the single most important capability distinction between the
-% DVI and PDF output. Perhaps surprisingly, all the other PDF features
-% (PDF bookmarks, thumbnails, etc.) can be preserved in
-% .tex->.dvi->.ps->.pdf workflow if the respective packages/scripts are
-% loaded/invoked with the correct driver options (dvips, etc.). 
-% As most IEEE papers use URLs sparingly (mainly in the references), this
-% may not be as big an issue as with other publications.
-%
-% That said, recently Vilar Camara Neto introduced his breakurl.sty
-% package which permits hyperref to easily break URLs even in dvi
-% mode. Note that breakurl, unlike most other packages, must be loaded
-% AFTER hyperref. The latest version of breakurl and its documentation can
-% be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/breakurl/
-% breakurl.sty is not for use under pdflatex pdf mode. Versions 1.10 
-% (September 23, 2005) and later are recommened to avoid bugs in earlier
-% releases.
-%
-% The advanced features offer by hyperref.sty are not required for IEEE
-% submission, so users should weigh these features against the added
-% complexity of use. Users who wish to use hyperref *must* ensure that
-% their hyperref version is 6.72u or later *and* IEEEtran.cls is version
-% 1.6b or later.
-% The package options above demonstrate how to enable PDF bookmarks
-% (a type of table of contents viewable in Acrobat Reader) as well as
-% PDF document information (title, subject, author and keywords) that is
-% viewable in Acrobat reader's Document_Properties menu. PDF document
-% information is also used extensively to automate the cataloging of PDF
-% documents. The above set of options ensures that hyperlinks will not be
-% colored in the text and thus will not be visible in the printed page,
-% but will be active on "mouse over". USING COLORS OR OTHER HIGHLIGHTING
-% OF HYPERLINKS CAN RESULT IN DOCUMENT REJECTION BY THE IEEE, especially if
-% these appear on the "printed" page. IF IN DOUBT, ASK THE RELEVANT
-% SUBMISSION EDITOR. You may need to add the option hypertexnames=false if
-% you used duplicate equation numbers, etc., but this should not be needed
-% in normal IEEE work.
-% The latest version of hyperref and its documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/hyperref/
-
-
-
-
-
-% *** Do not adjust lengths that control margins, column widths, etc. ***
-% *** Do not use packages that alter fonts (such as pslatex).         ***
-% There should be no need to do such things with IEEEtran.cls V1.6 and later.
-% (Unless specifically asked to do so by the journal or conference you plan
-% to submit to, of course. )
-
-
-% correct bad hyphenation here
-\hyphenation{op-tical net-works semi-conduc-tor}
-
-
-\begin{document}
-%
-% paper title
-% can use linebreaks \\ within to get better formatting as desired
-\title{Bare Advanced Demo of IEEEtran.cls\\ for Computer Society Journals}
-%
-%
-% author names and IEEE memberships
-% note positions of commas and nonbreaking spaces ( ~ ) LaTeX will not break
-% a structure at a ~ so this keeps an author's name from being broken across
-% two lines.
-% use \thanks{} to gain access to the first footnote area
-% a separate \thanks must be used for each paragraph as LaTeX2e's \thanks
-% was not built to handle multiple paragraphs
-%
-%
-%\IEEEcompsocitemizethanks is a special \thanks that produces the bulleted
-% lists the Computer Society journals use for "first footnote" author
-% affiliations. Use \IEEEcompsocthanksitem which works much like \item
-% for each affiliation group. When not in compsoc mode,
-% \IEEEcompsocitemizethanks becomes like \thanks and
-% \IEEEcompsocthanksitem becomes a line break with idention. This
-% facilitates dual compilation, although admittedly the differences in the
-% desired content of \author between the different types of papers makes a
-% one-size-fits-all approach a daunting prospect. For instance, compsoc 
-% journal papers have the author affiliations above the "Manuscript
-% received ..."  text while in non-compsoc journals this is reversed. Sigh.
-
-\author{Michael~Shell,~\IEEEmembership{Member,~IEEE,}
-        John~Doe,~\IEEEmembership{Fellow,~OSA,}
-        and~Jane~Doe,~\IEEEmembership{Life~Fellow,~IEEE}% <-this % stops a space
-\IEEEcompsocitemizethanks{\IEEEcompsocthanksitem M. Shell is with the Department
-of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta,
-GA, 30332.\protect\\
-% note need leading \protect in front of \\ to get a newline within \thanks as
-% \\ is fragile and will error, could use \hfil\break instead.
-E-mail: see http://www.michaelshell.org/contact.html
-\IEEEcompsocthanksitem J. Doe and J. Doe are with Anonymous University.}% <-this % stops a space
-\thanks{Manuscript received April 19, 2005; revised January 11, 2007.}}
-
-% note the % following the last \IEEEmembership and also \thanks - 
-% these prevent an unwanted space from occurring between the last author name
-% and the end of the author line. i.e., if you had this:
-% 
-% \author{....lastname \thanks{...} \thanks{...} }
-%                     ^------------^------------^----Do not want these spaces!
-%
-% a space would be appended to the last name and could cause every name on that
-% line to be shifted left slightly. This is one of those "LaTeX things". For
-% instance, "\textbf{A} \textbf{B}" will typeset as "A B" not "AB". To get
-% "AB" then you have to do: "\textbf{A}\textbf{B}"
-% \thanks is no different in this regard, so shield the last } of each \thanks
-% that ends a line with a % and do not let a space in before the next \thanks.
-% Spaces after \IEEEmembership other than the last one are OK (and needed) as
-% you are supposed to have spaces between the names. For what it is worth,
-% this is a minor point as most people would not even notice if the said evil
-% space somehow managed to creep in.
-
-
-
-% The paper headers
-\markboth{Journal of \LaTeX\ Class Files,~Vol.~6, No.~1, January~2007}%
-{Shell \MakeLowercase{\textit{et al.}}: Bare Advanced Demo of IEEEtran.cls for Journals}
-% The only time the second header will appear is for the odd numbered pages
-% after the title page when using the twoside option.
-% 
-% *** Note that you probably will NOT want to include the author's ***
-% *** name in the headers of peer review papers.                   ***
-% You can use \ifCLASSOPTIONpeerreview for conditional compilation here if
-% you desire.
-
-
-
-% The publisher's ID mark at the bottom of the page is less important with
-% Computer Society journal papers as those publications place the marks
-% outside of the main text columns and, therefore, unlike regular IEEE
-% journals, the available text space is not reduced by their presence.
-% If you want to put a publisher's ID mark on the page you can do it like
-% this:
-%\IEEEpubid{0000--0000/00\$00.00~\copyright~2007 IEEE}
-% or like this to get the Computer Society new two part style.
-%\IEEEpubid{\makebox[\columnwidth]{\hfill 0000--0000/00/\$00.00~\copyright~2007 IEEE}%
-%\hspace{\columnsep}\makebox[\columnwidth]{Published by the IEEE Computer Society\hfill}}
-% Remember, if you use this you must call \IEEEpubidadjcol in the second
-% column for its text to clear the IEEEpubid mark (Computer Society jorunal
-% papers don't need this extra clearance.)
-
-
-
-% use for special paper notices
-%\IEEEspecialpapernotice{(Invited Paper)}
-
-
-
-% for Computer Society papers, we must declare the abstract and index terms
-% PRIOR to the title within the \IEEEcompsoctitleabstractindextext IEEEtran
-% command as these need to go into the title area created by \maketitle.
-\IEEEcompsoctitleabstractindextext{%
-\begin{abstract}
-%\boldmath
-The abstract goes here.
-\end{abstract}
-% IEEEtran.cls defaults to using nonbold math in the Abstract.
-% This preserves the distinction between vectors and scalars. However,
-% if the journal you are submitting to favors bold math in the abstract,
-% then you can use LaTeX's standard command \boldmath at the very start
-% of the abstract to achieve this. Many IEEE journals frown on math
-% in the abstract anyway. In particular, the Computer Society does
-% not want either math or citations to appear in the abstract.
-
-% Note that keywords are not normally used for peerreview papers.
-\begin{IEEEkeywords}
-Computer Society, IEEEtran, journal, \LaTeX, paper, template.
-\end{IEEEkeywords}}
-
-
-% make the title area
-\maketitle
-
-
-% To allow for easy dual compilation without having to reenter the
-% abstract/keywords data, the \IEEEcompsoctitleabstractindextext text will
-% not be used in maketitle, but will appear (i.e., to be "transported")
-% here as \IEEEdisplaynotcompsoctitleabstractindextext when compsoc mode
-% is not selected <OR> if conference mode is selected - because compsoc
-% conference papers position the abstract like regular (non-compsoc)
-% papers do!
-\IEEEdisplaynotcompsoctitleabstractindextext
-% \IEEEdisplaynotcompsoctitleabstractindextext has no effect when using
-% compsoc under a non-conference mode.
-
-
-% For peer review papers, you can put extra information on the cover
-% page as needed:
-% \ifCLASSOPTIONpeerreview
-% \begin{center} \bfseries EDICS Category: 3-BBND \end{center}
-% \fi
-%
-% For peerreview papers, this IEEEtran command inserts a page break and
-% creates the second title. It will be ignored for other modes.
-\IEEEpeerreviewmaketitle
-
-
-
-\section{Introduction}
-% Computer Society journal papers do something a tad strange with the very
-% first section heading (almost always called "Introduction"). They place it
-% ABOVE the main text! IEEEtran.cls currently does not do this for you.
-% However, You can achieve this effect by making LaTeX jump through some
-% hoops via something like:
-%
-%\ifCLASSOPTIONcompsoc
-%  \noindent\raisebox{2\baselineskip}[0pt][0pt]%
-%  {\parbox{\columnwidth}{\section{Introduction}\label{sec:introduction}%
-%  \global\everypar=\everypar}}%
-%  \vspace{-1\baselineskip}\vspace{-\parskip}\par
-%\else
-%  \section{Introduction}\label{sec:introduction}\par
-%\fi
-%
-% Admittedly, this is a hack and may well be fragile, but seems to do the
-% trick for me. Note the need to keep any \label that may be used right
-% after \section in the above as the hack puts \section within a raised box.
-
-
-
-% The very first letter is a 2 line initial drop letter followed
-% by the rest of the first word in caps (small caps for compsoc).
-% 
-% form to use if the first word consists of a single letter:
-% \IEEEPARstart{A}{demo} file is ....
-% 
-% form to use if you need the single drop letter followed by
-% normal text (unknown if ever used by IEEE):
-% \IEEEPARstart{A}{}demo file is ....
-% 
-% Some journals put the first two words in caps:
-% \IEEEPARstart{T}{his demo} file is ....
-% 
-% Here we have the typical use of a "T" for an initial drop letter
-% and "HIS" in caps to complete the first word.
-\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file''
-for IEEE Computer Society journal papers produced under \LaTeX\ using
-IEEEtran.cls version 1.7 and later.
-% You must have at least 2 lines in the paragraph with the drop letter
-% (should never be an issue)
-I wish you the best of success.
-
-\hfill mds
- 
-\hfill January 11, 2007
-
-\subsection{Subsection Heading Here}
-Subsection text here.
-
-% needed in second column of first page if using \IEEEpubid
-%\IEEEpubidadjcol
-
-\subsubsection{Subsubsection Heading Here}
-Subsubsection text here.
-
-
-% An example of a floating figure using the graphicx package.
-% Note that \label must occur AFTER (or within) \caption.
-% For figures, \caption should occur after the \includegraphics.
-% Note that IEEEtran v1.7 and later has special internal code that
-% is designed to preserve the operation of \label within \caption
-% even when the captionsoff option is in effect. However, because
-% of issues like this, it may be the safest practice to put all your
-% \label just after \caption rather than within \caption{}.
-%
-% Reminder: the "draftcls" or "draftclsnofoot", not "draft", class
-% option should be used if it is desired that the figures are to be
-% displayed while in draft mode.
-%
-%\begin{figure}[!t]
-%\centering
-%\includegraphics[width=2.5in]{myfigure}
-% where an .eps filename suffix will be assumed under latex, 
-% and a .pdf suffix will be assumed for pdflatex; or what has been declared
-% via \DeclareGraphicsExtensions.
-%\caption{Simulation Results}
-%\label{fig_sim}
-%\end{figure}
-
-% Note that IEEE typically puts floats only at the top, even when this
-% results in a large percentage of a column being occupied by floats.
-% However, the Computer Society has been known to put floats at the bottom.
-
-
-% An example of a double column floating figure using two subfigures.
-% (The subfig.sty package must be loaded for this to work.)
-% The subfigure \label commands are set within each subfloat command, the
-% \label for the overall figure must come after \caption.
-% \hfil must be used as a separator to get equal spacing.
-% The subfigure.sty package works much the same way, except \subfigure is
-% used instead of \subfloat.
-%
-%\begin{figure*}[!t]
-%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{subfigcase1}%
-%\label{fig_first_case}}
-%\hfil
-%\subfloat[Case II]{\includegraphics[width=2.5in]{subfigcase2}%
-%\label{fig_second_case}}}
-%\caption{Simulation results}
-%\label{fig_sim}
-%\end{figure*}
-%
-% Note that often IEEE papers with subfigures do not employ subfigure
-% captions (using the optional argument to \subfloat), but instead will
-% reference/describe all of them (a), (b), etc., within the main caption.
-
-
-% An example of a floating table. Note that, for IEEE style tables, the 
-% \caption command should come BEFORE the table. Table text will default to
-% \footnotesize as IEEE normally uses this smaller font for tables.
-% The \label must come after \caption as always.
-%
-%\begin{table}[!t]
-%% increase table row spacing, adjust to taste
-%\renewcommand{\arraystretch}{1.3}
-% if using array.sty, it might be a good idea to tweak the value of
-% \extrarowheight as needed to properly center the text within the cells
-%\caption{An Example of a Table}
-%\label{table_example}
-%\centering
-%% Some packages, such as MDW tools, offer better commands for making tables
-%% than the plain LaTeX2e tabular which is used here.
-%\begin{tabular}{|c||c|}
-%\hline
-%One & Two\\
-%\hline
-%Three & Four\\
-%\hline
-%\end{tabular}
-%\end{table}
-
-
-% Note that IEEE does not put floats in the very first column - or typically
-% anywhere on the first page for that matter. Also, in-text middle ("here")
-% positioning is not used. Most IEEE journals use top floats exclusively.
-% However, Computer Society journals sometimes do use bottom floats - bear
-% this in mind when choosing appropriate optional arguments for the
-% figure/table environments.
-% Note that, LaTeX2e, unlike IEEE journals, places footnotes above bottom
-% floats. This can be corrected via the \fnbelowfloat command of the
-% stfloats package.
-
-
-
-\section{Conclusion}
-The conclusion goes here.
-
-
-
-
-
-% if have a single appendix:
-%\appendix[Proof of the Zonklar Equations]
-% or
-%\appendix  % for no appendix heading
-% do not use \section anymore after \appendix, only \section*
-% is possibly needed
-
-% use appendices with more than one appendix
-% then use \section to start each appendix
-% you must declare a \section before using any
-% \subsection or using \label (\appendices by itself
-% starts a section numbered zero.)
-%
-
-
-\appendices
-\section{Proof of the First Zonklar Equation}
-Appendix one text goes here.
-
-% you can choose not to have a title for an appendix
-% if you want by leaving the argument blank
-\section{}
-Appendix two text goes here.
-
-
-% use section* for acknowledgement
-\ifCLASSOPTIONcompsoc
-  % The Computer Society usually uses the plural form
-  \section*{Acknowledgments}
-\else
-  % regular IEEE prefers the singular form
-  \section*{Acknowledgment}
-\fi
-
-
-The authors would like to thank...
-
-
-% Can use something like this to put references on a page
-% by themselves when using endfloat and the captionsoff option.
-\ifCLASSOPTIONcaptionsoff
-  \newpage
-\fi
-
-
-
-% trigger a \newpage just before the given reference
-% number - used to balance the columns on the last page
-% adjust value as needed - may need to be readjusted if
-% the document is modified later
-%\IEEEtriggeratref{8}
-% The "triggered" command can be changed if desired:
-%\IEEEtriggercmd{\enlargethispage{-5in}}
-
-% references section
-
-% can use a bibliography generated by BibTeX as a .bbl file
-% BibTeX documentation can be easily obtained at:
-% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
-% The IEEEtran BibTeX style support page is at:
-% http://www.michaelshell.org/tex/ieeetran/bibtex/
-%\bibliographystyle{IEEEtran}
-% argument is your BibTeX string definitions and bibliography database(s)
-%\bibliography{IEEEabrv,../bib/paper}
-%
-% <OR> manually copy in the resultant .bbl file
-% set second argument of \begin to the number of references
-% (used to reserve space for the reference number labels box)
-\begin{thebibliography}{1}
-
-\bibitem{IEEEhowto:kopka}
-H.~Kopka and P.~W. Daly, \emph{A Guide to {\LaTeX}}, 3rd~ed.\hskip 1em plus
-  0.5em minus 0.4em\relax Harlow, England: Addison-Wesley, 1999.
-
-\end{thebibliography}
-
-% biography section
-% 
-% If you have an EPS/PDF photo (graphicx package needed) extra braces are
-% needed around the contents of the optional argument to biography to prevent
-% the LaTeX parser from getting confused when it sees the complicated
-% \includegraphics command within an optional argument. (You could create
-% your own custom macro containing the \includegraphics command to make things
-% simpler here.)
-%\begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,keepaspectratio]{mshell}}]{Michael Shell}
-% or if you just want to reserve a space for a photo:
-
-\begin{IEEEbiography}{Michael Shell}
-Biography text here.
-\end{IEEEbiography}
-
-% if you will not have a photo at all:
-\begin{IEEEbiographynophoto}{John Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% insert where needed to balance the two columns on the last page with
-% biographies
-%\newpage
-
-\begin{IEEEbiographynophoto}{Jane Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% You can push biographies down or up by placing
-% a \vfill before or after them. The appropriate
-% use of \vfill depends on what kind of text is
-% on the last page and whether or not the columns
-% are being equalized.
-
-%\vfill
-
-% Can be used to pull up biographies so that the bottom of the last one
-% is flush with the other column.
-%\enlargethispage{-5in}
-
-
-
-% that's all folks
-\end{document}
-
-
diff --git a/mpi-energy2-extension/IEEEtran/bare_conf.tex b/mpi-energy2-extension/IEEEtran/bare_conf.tex
deleted file mode 100644
index 16a4c0c..0000000
--- a/mpi-energy2-extension/IEEEtran/bare_conf.tex
+++ /dev/null
@@ -1,601 +0,0 @@
-
-%% bare_conf.tex
-%% V1.3
-%% 2007/01/11
-%% by Michael Shell
-%% See:
-%% http://www.michaelshell.org/
-%% for current contact information.
-%%
-%% This is a skeleton file demonstrating the use of IEEEtran.cls
-%% (requires IEEEtran.cls version 1.7 or later) with an IEEE conference paper.
-%%
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%%*************************************************************************
-
-% *** Authors should verify (and, if needed, correct) their LaTeX system  ***
-% *** with the testflow diagnostic prior to trusting their LaTeX platform ***
-% *** with production work. IEEE's font choices can trigger bugs that do  ***
-% *** not appear when using other class files.                            ***
-% The testflow support page is at:
-% http://www.michaelshell.org/tex/testflow/
-
-
-
-% Note that the a4paper option is mainly intended so that authors in
-% countries using A4 can easily print to A4 and see how their papers will
-% look in print - the typesetting of the document will not typically be
-% affected with changes in paper size (but the bottom and side margins will).
-% Use the testflow package mentioned above to verify correct handling of
-% both paper sizes by the user's LaTeX system.
-%
-% Also note that the "draftcls" or "draftclsnofoot", not "draft", option
-% should be used if it is desired that the figures are to be displayed in
-% draft mode.
-%
-\documentclass[conference]{IEEEtran}
-% Add the compsoc option for Computer Society conferences.
-%
-% If IEEEtran.cls has not been installed into the LaTeX system files,
-% manually specify the path to it like:
-% \documentclass[conference]{../sty/IEEEtran}
-
-
-
-
-
-% Some very useful LaTeX packages include:
-% (uncomment the ones you want to load)
-
-
-% *** MISC UTILITY PACKAGES ***
-%
-%\usepackage{ifpdf}
-% Heiko Oberdiek's ifpdf.sty is very useful if you need conditional
-% compilation based on whether the output is pdf or dvi.
-% usage:
-% \ifpdf
-%   % pdf code
-% \else
-%   % dvi code
-% \fi
-% The latest version of ifpdf.sty can be obtained from:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/oberdiek/
-% Also, note that IEEEtran.cls V1.7 and later provides a builtin
-% \ifCLASSINFOpdf conditional that works the same way.
-% When switching from latex to pdflatex and vice-versa, the compiler may
-% have to be run twice to clear warning/error messages.
-
-
-
-
-
-
-% *** CITATION PACKAGES ***
-%
-%\usepackage{cite}
-% cite.sty was written by Donald Arseneau
-% V1.6 and later of IEEEtran pre-defines the format of the cite.sty package
-% \cite{} output to follow that of IEEE. Loading the cite package will
-% result in citation numbers being automatically sorted and properly
-% "compressed/ranged". e.g., [1], [9], [2], [7], [5], [6] without using
-% cite.sty will become [1], [2], [5]--[7], [9] using cite.sty. cite.sty's
-% \cite will automatically add leading space, if needed. Use cite.sty's
-% noadjust option (cite.sty V3.8 and later) if you want to turn this off.
-% cite.sty is already installed on most LaTeX systems. Be sure and use
-% version 4.0 (2003-05-27) and later if using hyperref.sty. cite.sty does
-% not currently provide for hyperlinked citations.
-% The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/cite/
-% The documentation is contained in the cite.sty file itself.
-
-
-
-
-
-
-% *** GRAPHICS RELATED PACKAGES ***
-%
-\ifCLASSINFOpdf
-  % \usepackage[pdftex]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../pdf/}{../jpeg/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.pdf,.jpeg,.png}
-\else
-  % or other class option (dvipsone, dvipdf, if not using dvips). graphicx
-  % will default to the driver specified in the system graphics.cfg if no
-  % driver is specified.
-  % \usepackage[dvips]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../eps/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.eps}
-\fi
-% graphicx was written by David Carlisle and Sebastian Rahtz. It is
-% required if you want graphics, photos, etc. graphicx.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at: 
-% http://www.ctan.org/tex-archive/macros/latex/required/graphics/
-% Another good source of documentation is "Using Imported Graphics in
-% LaTeX2e" by Keith Reckdahl which can be found as epslatex.ps or
-% epslatex.pdf at: http://www.ctan.org/tex-archive/info/
-%
-% latex, and pdflatex in dvi mode, support graphics in encapsulated
-% postscript (.eps) format. pdflatex in pdf mode supports graphics
-% in .pdf, .jpeg, .png and .mps (metapost) formats. Users should ensure
-% that all non-photo figures use a vector format (.eps, .pdf, .mps) and
-% not a bitmapped formats (.jpeg, .png). IEEE frowns on bitmapped formats
-% which can result in "jaggedy"/blurry rendering of lines and letters as
-% well as large increases in file sizes.
-%
-% You can find documentation about the pdfTeX application at:
-% http://www.tug.org/applications/pdftex
-
-
-
-
-
-% *** MATH PACKAGES ***
-%
-%\usepackage[cmex10]{amsmath}
-% A popular package from the American Mathematical Society that provides
-% many useful and powerful commands for dealing with mathematics. If using
-% it, be sure to load this package with the cmex10 option to ensure that
-% only type 1 fonts will utilized at all point sizes. Without this option,
-% it is possible that some math symbols, particularly those within
-% footnotes, will be rendered in bitmap form which will result in a
-% document that can not be IEEE Xplore compliant!
-%
-% Also, note that the amsmath package sets \interdisplaylinepenalty to 10000
-% thus preventing page breaks from occurring within multiline equations. Use:
-%\interdisplaylinepenalty=2500
-% after loading amsmath to restore such page breaks as IEEEtran.cls normally
-% does. amsmath.sty is already installed on most LaTeX systems. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/
-
-
-
-
-
-% *** SPECIALIZED LIST PACKAGES ***
-%
-%\usepackage{algorithmic}
-% algorithmic.sty was written by Peter Williams and Rogerio Brito.
-% This package provides an algorithmic environment fo describing algorithms.
-% You can use the algorithmic environment in-text or within a figure
-% environment to provide for a floating algorithm. Do NOT use the algorithm
-% floating environment provided by algorithm.sty (by the same authors) or
-% algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated
-% algorithm float types and packages that provide these will not provide
-% correct IEEE style captions. The latest version and documentation of
-% algorithmic.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithms/
-% There is also a support site at:
-% http://algorithms.berlios.de/index.html
-% Also of interest may be the (relatively newer and more customizable)
-% algorithmicx.sty package by Szasz Janos:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithmicx/
-
-
-
-
-% *** ALIGNMENT PACKAGES ***
-%
-%\usepackage{array}
-% Frank Mittelbach's and David Carlisle's array.sty patches and improves
-% the standard LaTeX2e array and tabular environments to provide better
-% appearance and additional user controls. As the default LaTeX2e table
-% generation code is lacking to the point of almost being broken with
-% respect to the quality of the end results, all users are strongly
-% advised to use an enhanced (at the very least that provided by array.sty)
-% set of table tools. array.sty is already installed on most systems. The
-% latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/tools/
-
-
-%\usepackage{mdwmath}
-%\usepackage{mdwtab}
-% Also highly recommended is Mark Wooding's extremely powerful MDW tools,
-% especially mdwmath.sty and mdwtab.sty which are used to format equations
-% and tables, respectively. The MDWtools set is already installed on most
-% LaTeX systems. The lastest version and documentation is available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/mdwtools/
-
-
-% IEEEtran contains the IEEEeqnarray family of commands that can be used to
-% generate multiline equations as well as matrices, tables, etc., of high
-% quality.
-
-
-%\usepackage{eqparbox}
-% Also of notable interest is Scott Pakin's eqparbox package for creating
-% (automatically sized) equal width boxes - aka "natural width parboxes".
-% Available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/eqparbox/
-
-
-
-
-
-% *** SUBFIGURE PACKAGES ***
-%\usepackage[tight,footnotesize]{subfigure}
-% subfigure.sty was written by Steven Douglas Cochran. This package makes it
-% easy to put subfigures in your figures. e.g., "Figure 1a and 1b". For IEEE
-% work, it is a good idea to load it with the tight package option to reduce
-% the amount of white space around the subfigures. subfigure.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at:
-% http://www.ctan.org/tex-archive/obsolete/macros/latex/contrib/subfigure/
-% subfigure.sty has been superceeded by subfig.sty.
-
-
-
-%\usepackage[caption=false]{caption}
-%\usepackage[font=footnotesize]{subfig}
-% subfig.sty, also written by Steven Douglas Cochran, is the modern
-% replacement for subfigure.sty. However, subfig.sty requires and
-% automatically loads Axel Sommerfeldt's caption.sty which will override
-% IEEEtran.cls handling of captions and this will result in nonIEEE style
-% figure/table captions. To prevent this problem, be sure and preload
-% caption.sty with its "caption=false" package option. This is will preserve
-% IEEEtran.cls handing of captions. Version 1.3 (2005/06/28) and later 
-% (recommended due to many improvements over 1.2) of subfig.sty supports
-% the caption=false option directly:
-%\usepackage[caption=false,font=footnotesize]{subfig}
-%
-% The latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/subfig/
-% The latest version and documentation of caption.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/caption/
-
-
-
-
-% *** FLOAT PACKAGES ***
-%
-%\usepackage{fixltx2e}
-% fixltx2e, the successor to the earlier fix2col.sty, was written by
-% Frank Mittelbach and David Carlisle. This package corrects a few problems
-% in the LaTeX2e kernel, the most notable of which is that in current
-% LaTeX2e releases, the ordering of single and double column floats is not
-% guaranteed to be preserved. Thus, an unpatched LaTeX2e can allow a
-% single column figure to be placed prior to an earlier double column
-% figure. The latest version and documentation can be found at:
-% http://www.ctan.org/tex-archive/macros/latex/base/
-
-
-
-%\usepackage{stfloats}
-% stfloats.sty was written by Sigitas Tolusis. This package gives LaTeX2e
-% the ability to do double column floats at the bottom of the page as well
-% as the top. (e.g., "\begin{figure*}[!b]" is not normally possible in
-% LaTeX2e). It also provides a command:
-%\fnbelowfloat
-% to enable the placement of footnotes below bottom floats (the standard
-% LaTeX2e kernel puts them above bottom floats). This is an invasive package
-% which rewrites many portions of the LaTeX2e float routines. It may not work
-% with other packages that modify the LaTeX2e float routines. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/sttools/
-% Documentation is contained in the stfloats.sty comments as well as in the
-% presfull.pdf file. Do not use the stfloats baselinefloat ability as IEEE
-% does not allow \baselineskip to stretch. Authors submitting work to the
-% IEEE should note that IEEE rarely uses double column equations and
-% that authors should try to avoid such use. Do not be tempted to use the
-% cuted.sty or midfloat.sty packages (also by Sigitas Tolusis) as IEEE does
-% not format its papers in such ways.
-
-
-
-
-
-% *** PDF, URL AND HYPERLINK PACKAGES ***
-%
-%\usepackage{url}
-% url.sty was written by Donald Arseneau. It provides better support for
-% handling and breaking URLs. url.sty is already installed on most LaTeX
-% systems. The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/misc/
-% Read the url.sty source comments for usage information. Basically,
-% \url{my_url_here}.
-
-
-
-
-
-% *** Do not adjust lengths that control margins, column widths, etc. ***
-% *** Do not use packages that alter fonts (such as pslatex).         ***
-% There should be no need to do such things with IEEEtran.cls V1.6 and later.
-% (Unless specifically asked to do so by the journal or conference you plan
-% to submit to, of course. )
-
-
-% correct bad hyphenation here
-\hyphenation{op-tical net-works semi-conduc-tor}
-
-
-\begin{document}
-%
-% paper title
-% can use linebreaks \\ within to get better formatting as desired
-\title{Bare Demo of IEEEtran.cls for Conferences}
-
-
-% author names and affiliations
-% use a multiple column layout for up to three different
-% affiliations
-\author{\IEEEauthorblockN{Michael Shell}
-\IEEEauthorblockA{School of Electrical and\\Computer Engineering\\
-Georgia Institute of Technology\\
-Atlanta, Georgia 30332--0250\\
-Email: http://www.michaelshell.org/contact.html}
-\and
-\IEEEauthorblockN{Homer Simpson}
-\IEEEauthorblockA{Twentieth Century Fox\\
-Springfield, USA\\
-Email: homer@thesimpsons.com}
-\and
-\IEEEauthorblockN{James Kirk\\ and Montgomery Scott}
-\IEEEauthorblockA{Starfleet Academy\\
-San Francisco, California 96678-2391\\
-Telephone: (800) 555--1212\\
-Fax: (888) 555--1212}}
-
-% conference papers do not typically use \thanks and this command
-% is locked out in conference mode. If really needed, such as for
-% the acknowledgment of grants, issue a \IEEEoverridecommandlockouts
-% after \documentclass
-
-% for over three affiliations, or if they all won't fit within the width
-% of the page, use this alternative format:
-% 
-%\author{\IEEEauthorblockN{Michael Shell\IEEEauthorrefmark{1},
-%Homer Simpson\IEEEauthorrefmark{2},
-%James Kirk\IEEEauthorrefmark{3}, 
-%Montgomery Scott\IEEEauthorrefmark{3} and
-%Eldon Tyrell\IEEEauthorrefmark{4}}
-%\IEEEauthorblockA{\IEEEauthorrefmark{1}School of Electrical and Computer Engineering\\
-%Georgia Institute of Technology,
-%Atlanta, Georgia 30332--0250\\ Email: see http://www.michaelshell.org/contact.html}
-%\IEEEauthorblockA{\IEEEauthorrefmark{2}Twentieth Century Fox, Springfield, USA\\
-%Email: homer@thesimpsons.com}
-%\IEEEauthorblockA{\IEEEauthorrefmark{3}Starfleet Academy, San Francisco, California 96678-2391\\
-%Telephone: (800) 555--1212, Fax: (888) 555--1212}
-%\IEEEauthorblockA{\IEEEauthorrefmark{4}Tyrell Inc., 123 Replicant Street, Los Angeles, California 90210--4321}}
-
-
-
-
-% use for special paper notices
-%\IEEEspecialpapernotice{(Invited Paper)}
-
-
-
-
-% make the title area
-\maketitle
-
-
-\begin{abstract}
-%\boldmath
-The abstract goes here.
-\end{abstract}
-% IEEEtran.cls defaults to using nonbold math in the Abstract.
-% This preserves the distinction between vectors and scalars. However,
-% if the conference you are submitting to favors bold math in the abstract,
-% then you can use LaTeX's standard command \boldmath at the very start
-% of the abstract to achieve this. Many IEEE journals/conferences frown on
-% math in the abstract anyway.
-
-% no keywords
-
-
-
-
-% For peer review papers, you can put extra information on the cover
-% page as needed:
-% \ifCLASSOPTIONpeerreview
-% \begin{center} \bfseries EDICS Category: 3-BBND \end{center}
-% \fi
-%
-% For peerreview papers, this IEEEtran command inserts a page break and
-% creates the second title. It will be ignored for other modes.
-\IEEEpeerreviewmaketitle
-
-
-
-\section{Introduction}
-% no \IEEEPARstart
-This demo file is intended to serve as a ``starter file''
-for IEEE conference papers produced under \LaTeX\ using
-IEEEtran.cls version 1.7 and later.
-% You must have at least 2 lines in the paragraph with the drop letter
-% (should never be an issue)
-I wish you the best of success.
-
-\hfill mds
- 
-\hfill January 11, 2007
-
-\subsection{Subsection Heading Here}
-Subsection text here.
-
-
-\subsubsection{Subsubsection Heading Here}
-Subsubsection text here.
-
-
-% An example of a floating figure using the graphicx package.
-% Note that \label must occur AFTER (or within) \caption.
-% For figures, \caption should occur after the \includegraphics.
-% Note that IEEEtran v1.7 and later has special internal code that
-% is designed to preserve the operation of \label within \caption
-% even when the captionsoff option is in effect. However, because
-% of issues like this, it may be the safest practice to put all your
-% \label just after \caption rather than within \caption{}.
-%
-% Reminder: the "draftcls" or "draftclsnofoot", not "draft", class
-% option should be used if it is desired that the figures are to be
-% displayed while in draft mode.
-%
-%\begin{figure}[!t]
-%\centering
-%\includegraphics[width=2.5in]{myfigure}
-% where an .eps filename suffix will be assumed under latex, 
-% and a .pdf suffix will be assumed for pdflatex; or what has been declared
-% via \DeclareGraphicsExtensions.
-%\caption{Simulation Results}
-%\label{fig_sim}
-%\end{figure}
-
-% Note that IEEE typically puts floats only at the top, even when this
-% results in a large percentage of a column being occupied by floats.
-
-
-% An example of a double column floating figure using two subfigures.
-% (The subfig.sty package must be loaded for this to work.)
-% The subfigure \label commands are set within each subfloat command, the
-% \label for the overall figure must come after \caption.
-% \hfil must be used as a separator to get equal spacing.
-% The subfigure.sty package works much the same way, except \subfigure is
-% used instead of \subfloat.
-%
-%\begin{figure*}[!t]
-%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{subfigcase1}%
-%\label{fig_first_case}}
-%\hfil
-%\subfloat[Case II]{\includegraphics[width=2.5in]{subfigcase2}%
-%\label{fig_second_case}}}
-%\caption{Simulation results}
-%\label{fig_sim}
-%\end{figure*}
-%
-% Note that often IEEE papers with subfigures do not employ subfigure
-% captions (using the optional argument to \subfloat), but instead will
-% reference/describe all of them (a), (b), etc., within the main caption.
-
-
-% An example of a floating table. Note that, for IEEE style tables, the 
-% \caption command should come BEFORE the table. Table text will default to
-% \footnotesize as IEEE normally uses this smaller font for tables.
-% The \label must come after \caption as always.
-%
-%\begin{table}[!t]
-%% increase table row spacing, adjust to taste
-%\renewcommand{\arraystretch}{1.3}
-% if using array.sty, it might be a good idea to tweak the value of
-% \extrarowheight as needed to properly center the text within the cells
-%\caption{An Example of a Table}
-%\label{table_example}
-%\centering
-%% Some packages, such as MDW tools, offer better commands for making tables
-%% than the plain LaTeX2e tabular which is used here.
-%\begin{tabular}{|c||c|}
-%\hline
-%One & Two\\
-%\hline
-%Three & Four\\
-%\hline
-%\end{tabular}
-%\end{table}
-
-
-% Note that IEEE does not put floats in the very first column - or typically
-% anywhere on the first page for that matter. Also, in-text middle ("here")
-% positioning is not used. Most IEEE journals/conferences use top floats
-% exclusively. Note that, LaTeX2e, unlike IEEE journals/conferences, places
-% footnotes above bottom floats. This can be corrected via the \fnbelowfloat
-% command of the stfloats package.
-
-
-
-\section{Conclusion}
-The conclusion goes here.
-
-
-
-
-% conference papers do not normally have an appendix
-
-
-% use section* for acknowledgement
-\section*{Acknowledgment}
-
-
-The authors would like to thank...
-
-
-
-
-
-% trigger a \newpage just before the given reference
-% number - used to balance the columns on the last page
-% adjust value as needed - may need to be readjusted if
-% the document is modified later
-%\IEEEtriggeratref{8}
-% The "triggered" command can be changed if desired:
-%\IEEEtriggercmd{\enlargethispage{-5in}}
-
-% references section
-
-% can use a bibliography generated by BibTeX as a .bbl file
-% BibTeX documentation can be easily obtained at:
-% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
-% The IEEEtran BibTeX style support page is at:
-% http://www.michaelshell.org/tex/ieeetran/bibtex/
-%\bibliographystyle{IEEEtran}
-% argument is your BibTeX string definitions and bibliography database(s)
-%\bibliography{IEEEabrv,../bib/paper}
-%
-% <OR> manually copy in the resultant .bbl file
-% set second argument of \begin to the number of references
-% (used to reserve space for the reference number labels box)
-\begin{thebibliography}{1}
-
-\bibitem{IEEEhowto:kopka}
-H.~Kopka and P.~W. Daly, \emph{A Guide to \LaTeX}, 3rd~ed.\hskip 1em plus
-  0.5em minus 0.4em\relax Harlow, England: Addison-Wesley, 1999.
-
-\end{thebibliography}
-
-
-
-
-% that's all folks
-\end{document}
-
-
diff --git a/mpi-energy2-extension/IEEEtran/bare_jrnl.tex b/mpi-energy2-extension/IEEEtran/bare_jrnl.tex
deleted file mode 100644
index 6f9f67c..0000000
--- a/mpi-energy2-extension/IEEEtran/bare_jrnl.tex
+++ /dev/null
@@ -1,745 +0,0 @@
-
-%% bare_jrnl.tex
-%% V1.3
-%% 2007/01/11
-%% by Michael Shell
-%% see http://www.michaelshell.org/
-%% for current contact information.
-%%
-%% This is a skeleton file demonstrating the use of IEEEtran.cls
-%% (requires IEEEtran.cls version 1.7 or later) with an IEEE journal paper.
-%%
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-
-
-
-% *** Authors should verify (and, if needed, correct) their LaTeX system  ***
-% *** with the testflow diagnostic prior to trusting their LaTeX platform ***
-% *** with production work. IEEE's font choices can trigger bugs that do  ***
-% *** not appear when using other class files.                            ***
-% The testflow support page is at:
-% http://www.michaelshell.org/tex/testflow/
-
-
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%%*************************************************************************
-
-% Note that the a4paper option is mainly intended so that authors in
-% countries using A4 can easily print to A4 and see how their papers will
-% look in print - the typesetting of the document will not typically be
-% affected with changes in paper size (but the bottom and side margins will).
-% Use the testflow package mentioned above to verify correct handling of
-% both paper sizes by the user's LaTeX system.
-%
-% Also note that the "draftcls" or "draftclsnofoot", not "draft", option
-% should be used if it is desired that the figures are to be displayed in
-% draft mode.
-%
-\documentclass[journal]{IEEEtran}
-%
-% If IEEEtran.cls has not been installed into the LaTeX system files,
-% manually specify the path to it like:
-% \documentclass[journal]{../sty/IEEEtran}
-
-
-
-
-
-% Some very useful LaTeX packages include:
-% (uncomment the ones you want to load)
-
-
-% *** MISC UTILITY PACKAGES ***
-%
-%\usepackage{ifpdf}
-% Heiko Oberdiek's ifpdf.sty is very useful if you need conditional
-% compilation based on whether the output is pdf or dvi.
-% usage:
-% \ifpdf
-%   % pdf code
-% \else
-%   % dvi code
-% \fi
-% The latest version of ifpdf.sty can be obtained from:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/oberdiek/
-% Also, note that IEEEtran.cls V1.7 and later provides a builtin
-% \ifCLASSINFOpdf conditional that works the same way.
-% When switching from latex to pdflatex and vice-versa, the compiler may
-% have to be run twice to clear warning/error messages.
-
-
-
-
-
-
-% *** CITATION PACKAGES ***
-%
-%\usepackage{cite}
-% cite.sty was written by Donald Arseneau
-% V1.6 and later of IEEEtran pre-defines the format of the cite.sty package
-% \cite{} output to follow that of IEEE. Loading the cite package will
-% result in citation numbers being automatically sorted and properly
-% "compressed/ranged". e.g., [1], [9], [2], [7], [5], [6] without using
-% cite.sty will become [1], [2], [5]--[7], [9] using cite.sty. cite.sty's
-% \cite will automatically add leading space, if needed. Use cite.sty's
-% noadjust option (cite.sty V3.8 and later) if you want to turn this off.
-% cite.sty is already installed on most LaTeX systems. Be sure and use
-% version 4.0 (2003-05-27) and later if using hyperref.sty. cite.sty does
-% not currently provide for hyperlinked citations.
-% The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/cite/
-% The documentation is contained in the cite.sty file itself.
-
-
-
-
-
-
-% *** GRAPHICS RELATED PACKAGES ***
-%
-\ifCLASSINFOpdf
-  % \usepackage[pdftex]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../pdf/}{../jpeg/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.pdf,.jpeg,.png}
-\else
-  % or other class option (dvipsone, dvipdf, if not using dvips). graphicx
-  % will default to the driver specified in the system graphics.cfg if no
-  % driver is specified.
-  % \usepackage[dvips]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../eps/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.eps}
-\fi
-% graphicx was written by David Carlisle and Sebastian Rahtz. It is
-% required if you want graphics, photos, etc. graphicx.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at: 
-% http://www.ctan.org/tex-archive/macros/latex/required/graphics/
-% Another good source of documentation is "Using Imported Graphics in
-% LaTeX2e" by Keith Reckdahl which can be found as epslatex.ps or
-% epslatex.pdf at: http://www.ctan.org/tex-archive/info/
-%
-% latex, and pdflatex in dvi mode, support graphics in encapsulated
-% postscript (.eps) format. pdflatex in pdf mode supports graphics
-% in .pdf, .jpeg, .png and .mps (metapost) formats. Users should ensure
-% that all non-photo figures use a vector format (.eps, .pdf, .mps) and
-% not a bitmapped formats (.jpeg, .png). IEEE frowns on bitmapped formats
-% which can result in "jaggedy"/blurry rendering of lines and letters as
-% well as large increases in file sizes.
-%
-% You can find documentation about the pdfTeX application at:
-% http://www.tug.org/applications/pdftex
-
-
-
-
-
-% *** MATH PACKAGES ***
-%
-%\usepackage[cmex10]{amsmath}
-% A popular package from the American Mathematical Society that provides
-% many useful and powerful commands for dealing with mathematics. If using
-% it, be sure to load this package with the cmex10 option to ensure that
-% only type 1 fonts will utilized at all point sizes. Without this option,
-% it is possible that some math symbols, particularly those within
-% footnotes, will be rendered in bitmap form which will result in a
-% document that can not be IEEE Xplore compliant!
-%
-% Also, note that the amsmath package sets \interdisplaylinepenalty to 10000
-% thus preventing page breaks from occurring within multiline equations. Use:
-%\interdisplaylinepenalty=2500
-% after loading amsmath to restore such page breaks as IEEEtran.cls normally
-% does. amsmath.sty is already installed on most LaTeX systems. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/
-
-
-
-
-
-% *** SPECIALIZED LIST PACKAGES ***
-%
-%\usepackage{algorithmic}
-% algorithmic.sty was written by Peter Williams and Rogerio Brito.
-% This package provides an algorithmic environment fo describing algorithms.
-% You can use the algorithmic environment in-text or within a figure
-% environment to provide for a floating algorithm. Do NOT use the algorithm
-% floating environment provided by algorithm.sty (by the same authors) or
-% algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated
-% algorithm float types and packages that provide these will not provide
-% correct IEEE style captions. The latest version and documentation of
-% algorithmic.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithms/
-% There is also a support site at:
-% http://algorithms.berlios.de/index.html
-% Also of interest may be the (relatively newer and more customizable)
-% algorithmicx.sty package by Szasz Janos:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithmicx/
-
-
-
-
-% *** ALIGNMENT PACKAGES ***
-%
-%\usepackage{array}
-% Frank Mittelbach's and David Carlisle's array.sty patches and improves
-% the standard LaTeX2e array and tabular environments to provide better
-% appearance and additional user controls. As the default LaTeX2e table
-% generation code is lacking to the point of almost being broken with
-% respect to the quality of the end results, all users are strongly
-% advised to use an enhanced (at the very least that provided by array.sty)
-% set of table tools. array.sty is already installed on most systems. The
-% latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/tools/
-
-
-%\usepackage{mdwmath}
-%\usepackage{mdwtab}
-% Also highly recommended is Mark Wooding's extremely powerful MDW tools,
-% especially mdwmath.sty and mdwtab.sty which are used to format equations
-% and tables, respectively. The MDWtools set is already installed on most
-% LaTeX systems. The lastest version and documentation is available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/mdwtools/
-
-
-% IEEEtran contains the IEEEeqnarray family of commands that can be used to
-% generate multiline equations as well as matrices, tables, etc., of high
-% quality.
-
-
-%\usepackage{eqparbox}
-% Also of notable interest is Scott Pakin's eqparbox package for creating
-% (automatically sized) equal width boxes - aka "natural width parboxes".
-% Available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/eqparbox/
-
-
-
-
-
-% *** SUBFIGURE PACKAGES ***
-%\usepackage[tight,footnotesize]{subfigure}
-% subfigure.sty was written by Steven Douglas Cochran. This package makes it
-% easy to put subfigures in your figures. e.g., "Figure 1a and 1b". For IEEE
-% work, it is a good idea to load it with the tight package option to reduce
-% the amount of white space around the subfigures. subfigure.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at:
-% http://www.ctan.org/tex-archive/obsolete/macros/latex/contrib/subfigure/
-% subfigure.sty has been superceeded by subfig.sty.
-
-
-
-%\usepackage[caption=false]{caption}
-%\usepackage[font=footnotesize]{subfig}
-% subfig.sty, also written by Steven Douglas Cochran, is the modern
-% replacement for subfigure.sty. However, subfig.sty requires and
-% automatically loads Axel Sommerfeldt's caption.sty which will override
-% IEEEtran.cls handling of captions and this will result in nonIEEE style
-% figure/table captions. To prevent this problem, be sure and preload
-% caption.sty with its "caption=false" package option. This is will preserve
-% IEEEtran.cls handing of captions. Version 1.3 (2005/06/28) and later 
-% (recommended due to many improvements over 1.2) of subfig.sty supports
-% the caption=false option directly:
-%\usepackage[caption=false,font=footnotesize]{subfig}
-%
-% The latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/subfig/
-% The latest version and documentation of caption.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/caption/
-
-
-
-
-% *** FLOAT PACKAGES ***
-%
-%\usepackage{fixltx2e}
-% fixltx2e, the successor to the earlier fix2col.sty, was written by
-% Frank Mittelbach and David Carlisle. This package corrects a few problems
-% in the LaTeX2e kernel, the most notable of which is that in current
-% LaTeX2e releases, the ordering of single and double column floats is not
-% guaranteed to be preserved. Thus, an unpatched LaTeX2e can allow a
-% single column figure to be placed prior to an earlier double column
-% figure. The latest version and documentation can be found at:
-% http://www.ctan.org/tex-archive/macros/latex/base/
-
-
-
-%\usepackage{stfloats}
-% stfloats.sty was written by Sigitas Tolusis. This package gives LaTeX2e
-% the ability to do double column floats at the bottom of the page as well
-% as the top. (e.g., "\begin{figure*}[!b]" is not normally possible in
-% LaTeX2e). It also provides a command:
-%\fnbelowfloat
-% to enable the placement of footnotes below bottom floats (the standard
-% LaTeX2e kernel puts them above bottom floats). This is an invasive package
-% which rewrites many portions of the LaTeX2e float routines. It may not work
-% with other packages that modify the LaTeX2e float routines. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/sttools/
-% Documentation is contained in the stfloats.sty comments as well as in the
-% presfull.pdf file. Do not use the stfloats baselinefloat ability as IEEE
-% does not allow \baselineskip to stretch. Authors submitting work to the
-% IEEE should note that IEEE rarely uses double column equations and
-% that authors should try to avoid such use. Do not be tempted to use the
-% cuted.sty or midfloat.sty packages (also by Sigitas Tolusis) as IEEE does
-% not format its papers in such ways.
-
-
-%\ifCLASSOPTIONcaptionsoff
-%  \usepackage[nomarkers]{endfloat}
-% \let\MYoriglatexcaption\caption
-% \renewcommand{\caption}[2][\relax]{\MYoriglatexcaption[#2]{#2}}
-%\fi
-% endfloat.sty was written by James Darrell McCauley and Jeff Goldberg.
-% This package may be useful when used in conjunction with IEEEtran.cls'
-% captionsoff option. Some IEEE journals/societies require that submissions
-% have lists of figures/tables at the end of the paper and that
-% figures/tables without any captions are placed on a page by themselves at
-% the end of the document. If needed, the draftcls IEEEtran class option or
-% \CLASSINPUTbaselinestretch interface can be used to increase the line
-% spacing as well. Be sure and use the nomarkers option of endfloat to
-% prevent endfloat from "marking" where the figures would have been placed
-% in the text. The two hack lines of code above are a slight modification of
-% that suggested by in the endfloat docs (section 8.3.1) to ensure that
-% the full captions always appear in the list of figures/tables - even if
-% the user used the short optional argument of \caption[]{}.
-% IEEE papers do not typically make use of \caption[]'s optional argument,
-% so this should not be an issue. A similar trick can be used to disable
-% captions of packages such as subfig.sty that lack options to turn off
-% the subcaptions:
-% For subfig.sty:
-% \let\MYorigsubfloat\subfloat
-% \renewcommand{\subfloat}[2][\relax]{\MYorigsubfloat[]{#2}}
-% For subfigure.sty:
-% \let\MYorigsubfigure\subfigure
-% \renewcommand{\subfigure}[2][\relax]{\MYorigsubfigure[]{#2}}
-% However, the above trick will not work if both optional arguments of
-% the \subfloat/subfig command are used. Furthermore, there needs to be a
-% description of each subfigure *somewhere* and endfloat does not add
-% subfigure captions to its list of figures. Thus, the best approach is to
-% avoid the use of subfigure captions (many IEEE journals avoid them anyway)
-% and instead reference/explain all the subfigures within the main caption.
-% The latest version of endfloat.sty and its documentation can obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/endfloat/
-%
-% The IEEEtran \ifCLASSOPTIONcaptionsoff conditional can also be used
-% later in the document, say, to conditionally put the References on a 
-% page by themselves.
-
-
-
-
-
-% *** PDF, URL AND HYPERLINK PACKAGES ***
-%
-%\usepackage{url}
-% url.sty was written by Donald Arseneau. It provides better support for
-% handling and breaking URLs. url.sty is already installed on most LaTeX
-% systems. The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/misc/
-% Read the url.sty source comments for usage information. Basically,
-% \url{my_url_here}.
-
-
-
-
-
-% *** Do not adjust lengths that control margins, column widths, etc. ***
-% *** Do not use packages that alter fonts (such as pslatex).         ***
-% There should be no need to do such things with IEEEtran.cls V1.6 and later.
-% (Unless specifically asked to do so by the journal or conference you plan
-% to submit to, of course. )
-
-
-% correct bad hyphenation here
-\hyphenation{op-tical net-works semi-conduc-tor}
-
-
-\begin{document}
-%
-% paper title
-% can use linebreaks \\ within to get better formatting as desired
-\title{Bare Demo of IEEEtran.cls for Journals}
-%
-%
-% author names and IEEE memberships
-% note positions of commas and nonbreaking spaces ( ~ ) LaTeX will not break
-% a structure at a ~ so this keeps an author's name from being broken across
-% two lines.
-% use \thanks{} to gain access to the first footnote area
-% a separate \thanks must be used for each paragraph as LaTeX2e's \thanks
-% was not built to handle multiple paragraphs
-%
-
-\author{Michael~Shell,~\IEEEmembership{Member,~IEEE,}
-        John~Doe,~\IEEEmembership{Fellow,~OSA,}
-        and~Jane~Doe,~\IEEEmembership{Life~Fellow,~IEEE}% <-this % stops a space
-\thanks{M. Shell is with the Department
-of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta,
-GA, 30332 USA e-mail: (see http://www.michaelshell.org/contact.html).}% <-this % stops a space
-\thanks{J. Doe and J. Doe are with Anonymous University.}% <-this % stops a space
-\thanks{Manuscript received April 19, 2005; revised January 11, 2007.}}
-
-% note the % following the last \IEEEmembership and also \thanks - 
-% these prevent an unwanted space from occurring between the last author name
-% and the end of the author line. i.e., if you had this:
-% 
-% \author{....lastname \thanks{...} \thanks{...} }
-%                     ^------------^------------^----Do not want these spaces!
-%
-% a space would be appended to the last name and could cause every name on that
-% line to be shifted left slightly. This is one of those "LaTeX things". For
-% instance, "\textbf{A} \textbf{B}" will typeset as "A B" not "AB". To get
-% "AB" then you have to do: "\textbf{A}\textbf{B}"
-% \thanks is no different in this regard, so shield the last } of each \thanks
-% that ends a line with a % and do not let a space in before the next \thanks.
-% Spaces after \IEEEmembership other than the last one are OK (and needed) as
-% you are supposed to have spaces between the names. For what it is worth,
-% this is a minor point as most people would not even notice if the said evil
-% space somehow managed to creep in.
-
-
-
-% The paper headers
-\markboth{Journal of \LaTeX\ Class Files,~Vol.~6, No.~1, January~2007}%
-{Shell \MakeLowercase{\textit{et al.}}: Bare Demo of IEEEtran.cls for Journals}
-% The only time the second header will appear is for the odd numbered pages
-% after the title page when using the twoside option.
-% 
-% *** Note that you probably will NOT want to include the author's ***
-% *** name in the headers of peer review papers.                   ***
-% You can use \ifCLASSOPTIONpeerreview for conditional compilation here if
-% you desire.
-
-
-
-
-% If you want to put a publisher's ID mark on the page you can do it like
-% this:
-%\IEEEpubid{0000--0000/00\$00.00~\copyright~2007 IEEE}
-% Remember, if you use this you must call \IEEEpubidadjcol in the second
-% column for its text to clear the IEEEpubid mark.
-
-
-
-% use for special paper notices
-%\IEEEspecialpapernotice{(Invited Paper)}
-
-
-
-
-% make the title area
-\maketitle
-
-
-\begin{abstract}
-%\boldmath
-The abstract goes here.
-\end{abstract}
-% IEEEtran.cls defaults to using nonbold math in the Abstract.
-% This preserves the distinction between vectors and scalars. However,
-% if the journal you are submitting to favors bold math in the abstract,
-% then you can use LaTeX's standard command \boldmath at the very start
-% of the abstract to achieve this. Many IEEE journals frown on math
-% in the abstract anyway.
-
-% Note that keywords are not normally used for peerreview papers.
-\begin{IEEEkeywords}
-IEEEtran, journal, \LaTeX, paper, template.
-\end{IEEEkeywords}
-
-
-
-
-
-
-% For peer review papers, you can put extra information on the cover
-% page as needed:
-% \ifCLASSOPTIONpeerreview
-% \begin{center} \bfseries EDICS Category: 3-BBND \end{center}
-% \fi
-%
-% For peerreview papers, this IEEEtran command inserts a page break and
-% creates the second title. It will be ignored for other modes.
-\IEEEpeerreviewmaketitle
-
-
-
-\section{Introduction}
-% The very first letter is a 2 line initial drop letter followed
-% by the rest of the first word in caps.
-% 
-% form to use if the first word consists of a single letter:
-% \IEEEPARstart{A}{demo} file is ....
-% 
-% form to use if you need the single drop letter followed by
-% normal text (unknown if ever used by IEEE):
-% \IEEEPARstart{A}{}demo file is ....
-% 
-% Some journals put the first two words in caps:
-% \IEEEPARstart{T}{his demo} file is ....
-% 
-% Here we have the typical use of a "T" for an initial drop letter
-% and "HIS" in caps to complete the first word.
-\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file''
-for IEEE journal papers produced under \LaTeX\ using
-IEEEtran.cls version 1.7 and later.
-% You must have at least 2 lines in the paragraph with the drop letter
-% (should never be an issue)
-I wish you the best of success.
-
-\hfill mds
- 
-\hfill January 11, 2007
-
-\subsection{Subsection Heading Here}
-Subsection text here.
-
-% needed in second column of first page if using \IEEEpubid
-%\IEEEpubidadjcol
-
-\subsubsection{Subsubsection Heading Here}
-Subsubsection text here.
-
-
-% An example of a floating figure using the graphicx package.
-% Note that \label must occur AFTER (or within) \caption.
-% For figures, \caption should occur after the \includegraphics.
-% Note that IEEEtran v1.7 and later has special internal code that
-% is designed to preserve the operation of \label within \caption
-% even when the captionsoff option is in effect. However, because
-% of issues like this, it may be the safest practice to put all your
-% \label just after \caption rather than within \caption{}.
-%
-% Reminder: the "draftcls" or "draftclsnofoot", not "draft", class
-% option should be used if it is desired that the figures are to be
-% displayed while in draft mode.
-%
-%\begin{figure}[!t]
-%\centering
-%\includegraphics[width=2.5in]{myfigure}
-% where an .eps filename suffix will be assumed under latex, 
-% and a .pdf suffix will be assumed for pdflatex; or what has been declared
-% via \DeclareGraphicsExtensions.
-%\caption{Simulation Results}
-%\label{fig_sim}
-%\end{figure}
-
-% Note that IEEE typically puts floats only at the top, even when this
-% results in a large percentage of a column being occupied by floats.
-
-
-% An example of a double column floating figure using two subfigures.
-% (The subfig.sty package must be loaded for this to work.)
-% The subfigure \label commands are set within each subfloat command, the
-% \label for the overall figure must come after \caption.
-% \hfil must be used as a separator to get equal spacing.
-% The subfigure.sty package works much the same way, except \subfigure is
-% used instead of \subfloat.
-%
-%\begin{figure*}[!t]
-%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{subfigcase1}%
-%\label{fig_first_case}}
-%\hfil
-%\subfloat[Case II]{\includegraphics[width=2.5in]{subfigcase2}%
-%\label{fig_second_case}}}
-%\caption{Simulation results}
-%\label{fig_sim}
-%\end{figure*}
-%
-% Note that often IEEE papers with subfigures do not employ subfigure
-% captions (using the optional argument to \subfloat), but instead will
-% reference/describe all of them (a), (b), etc., within the main caption.
-
-
-% An example of a floating table. Note that, for IEEE style tables, the 
-% \caption command should come BEFORE the table. Table text will default to
-% \footnotesize as IEEE normally uses this smaller font for tables.
-% The \label must come after \caption as always.
-%
-%\begin{table}[!t]
-%% increase table row spacing, adjust to taste
-%\renewcommand{\arraystretch}{1.3}
-% if using array.sty, it might be a good idea to tweak the value of
-% \extrarowheight as needed to properly center the text within the cells
-%\caption{An Example of a Table}
-%\label{table_example}
-%\centering
-%% Some packages, such as MDW tools, offer better commands for making tables
-%% than the plain LaTeX2e tabular which is used here.
-%\begin{tabular}{|c||c|}
-%\hline
-%One & Two\\
-%\hline
-%Three & Four\\
-%\hline
-%\end{tabular}
-%\end{table}
-
-
-% Note that IEEE does not put floats in the very first column - or typically
-% anywhere on the first page for that matter. Also, in-text middle ("here")
-% positioning is not used. Most IEEE journals use top floats exclusively.
-% Note that, LaTeX2e, unlike IEEE journals, places footnotes above bottom
-% floats. This can be corrected via the \fnbelowfloat command of the
-% stfloats package.
-
-
-
-\section{Conclusion}
-The conclusion goes here.
-
-
-
-
-
-% if have a single appendix:
-%\appendix[Proof of the Zonklar Equations]
-% or
-%\appendix  % for no appendix heading
-% do not use \section anymore after \appendix, only \section*
-% is possibly needed
-
-% use appendices with more than one appendix
-% then use \section to start each appendix
-% you must declare a \section before using any
-% \subsection or using \label (\appendices by itself
-% starts a section numbered zero.)
-%
-
-
-\appendices
-\section{Proof of the First Zonklar Equation}
-Appendix one text goes here.
-
-% you can choose not to have a title for an appendix
-% if you want by leaving the argument blank
-\section{}
-Appendix two text goes here.
-
-
-% use section* for acknowledgement
-\section*{Acknowledgment}
-
-
-The authors would like to thank...
-
-
-% Can use something like this to put references on a page
-% by themselves when using endfloat and the captionsoff option.
-\ifCLASSOPTIONcaptionsoff
-  \newpage
-\fi
-
-
-
-% trigger a \newpage just before the given reference
-% number - used to balance the columns on the last page
-% adjust value as needed - may need to be readjusted if
-% the document is modified later
-%\IEEEtriggeratref{8}
-% The "triggered" command can be changed if desired:
-%\IEEEtriggercmd{\enlargethispage{-5in}}
-
-% references section
-
-% can use a bibliography generated by BibTeX as a .bbl file
-% BibTeX documentation can be easily obtained at:
-% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
-% The IEEEtran BibTeX style support page is at:
-% http://www.michaelshell.org/tex/ieeetran/bibtex/
-%\bibliographystyle{IEEEtran}
-% argument is your BibTeX string definitions and bibliography database(s)
-%\bibliography{IEEEabrv,../bib/paper}
-%
-% <OR> manually copy in the resultant .bbl file
-% set second argument of \begin to the number of references
-% (used to reserve space for the reference number labels box)
-\begin{thebibliography}{1}
-
-\bibitem{IEEEhowto:kopka}
-H.~Kopka and P.~W. Daly, \emph{A Guide to \LaTeX}, 3rd~ed.\hskip 1em plus
-  0.5em minus 0.4em\relax Harlow, England: Addison-Wesley, 1999.
-
-\end{thebibliography}
-
-% biography section
-% 
-% If you have an EPS/PDF photo (graphicx package needed) extra braces are
-% needed around the contents of the optional argument to biography to prevent
-% the LaTeX parser from getting confused when it sees the complicated
-% \includegraphics command within an optional argument. (You could create
-% your own custom macro containing the \includegraphics command to make things
-% simpler here.)
-%\begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,keepaspectratio]{mshell}}]{Michael Shell}
-% or if you just want to reserve a space for a photo:
-
-\begin{IEEEbiography}{Michael Shell}
-Biography text here.
-\end{IEEEbiography}
-
-% if you will not have a photo at all:
-\begin{IEEEbiographynophoto}{John Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% insert where needed to balance the two columns on the last page with
-% biographies
-%\newpage
-
-\begin{IEEEbiographynophoto}{Jane Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% You can push biographies down or up by placing
-% a \vfill before or after them. The appropriate
-% use of \vfill depends on what kind of text is
-% on the last page and whether or not the columns
-% are being equalized.
-
-%\vfill
-
-% Can be used to pull up biographies so that the bottom of the last one
-% is flush with the other column.
-%\enlargethispage{-5in}
-
-
-
-% that's all folks
-\end{document}
-
-
diff --git a/mpi-energy2-extension/IEEEtran/bare_jrnl_compsoc.tex b/mpi-energy2-extension/IEEEtran/bare_jrnl_compsoc.tex
deleted file mode 100644
index c733757..0000000
--- a/mpi-energy2-extension/IEEEtran/bare_jrnl_compsoc.tex
+++ /dev/null
@@ -1,844 +0,0 @@
-
-%% bare_jrnl_compsoc.tex
-%% V1.3
-%% 2007/01/11
-%% by Michael Shell
-%% See:
-%% http://www.michaelshell.org/
-%% for current contact information.
-%%
-%% This is a skeleton file demonstrating the use of IEEEtran.cls
-%% (requires IEEEtran.cls version 1.7 or later) with an IEEE Computer
-%% Society journal paper.
-%%
-%% Support sites:
-%% http://www.michaelshell.org/tex/ieeetran/
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%% and
-%% http://www.ieee.org/
-
-%%*************************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either expressed or
-%% implied; without even the implied warranty of MERCHANTABILITY or
-%% FITNESS FOR A PARTICULAR PURPOSE! 
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code be liable for
-%% any damages or losses, including, but not limited to, incidental,
-%% consequential, or any other damages, resulting from the use or misuse
-%% of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This work is distributed under the LaTeX Project Public License (LPPL)
-%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,
-%% distributed and modified. A copy of the LPPL, version 1.3, is included
-%% in the base LaTeX documentation of all distributions of LaTeX released
-%% 2003/12/01 or later.
-%% Retain all contribution notices and credits.
-%% ** Modified files should be clearly indicated as such, including  **
-%% ** renaming them and changing author support contact information. **
-%%
-%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,
-%%                    bare_conf.tex, bare_jrnl.tex, bare_jrnl_compsoc.tex
-%%*************************************************************************
-
-% *** Authors should verify (and, if needed, correct) their LaTeX system  ***
-% *** with the testflow diagnostic prior to trusting their LaTeX platform ***
-% *** with production work. IEEE's font choices can trigger bugs that do  ***
-% *** not appear when using other class files.                            ***
-% The testflow support page is at:
-% http://www.michaelshell.org/tex/testflow/
-
-
-
-
-% Note that the a4paper option is mainly intended so that authors in
-% countries using A4 can easily print to A4 and see how their papers will
-% look in print - the typesetting of the document will not typically be
-% affected with changes in paper size (but the bottom and side margins will).
-% Use the testflow package mentioned above to verify correct handling of
-% both paper sizes by the user's LaTeX system.
-%
-% Also note that the "draftcls" or "draftclsnofoot", not "draft", option
-% should be used if it is desired that the figures are to be displayed in
-% draft mode.
-%
-% The Computer Society usually requires 12pt for submissions.
-%
-\documentclass[12pt,journal,compsoc]{IEEEtran}
-%
-% If IEEEtran.cls has not been installed into the LaTeX system files,
-% manually specify the path to it like:
-% \documentclass[12pt,journal,compsoc]{../sty/IEEEtran}
-
-
-
-
-
-% Some very useful LaTeX packages include:
-% (uncomment the ones you want to load)
-
-
-% *** MISC UTILITY PACKAGES ***
-%
-%\usepackage{ifpdf}
-% Heiko Oberdiek's ifpdf.sty is very useful if you need conditional
-% compilation based on whether the output is pdf or dvi.
-% usage:
-% \ifpdf
-%   % pdf code
-% \else
-%   % dvi code
-% \fi
-% The latest version of ifpdf.sty can be obtained from:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/oberdiek/
-% Also, note that IEEEtran.cls V1.7 and later provides a builtin
-% \ifCLASSINFOpdf conditional that works the same way.
-% When switching from latex to pdflatex and vice-versa, the compiler may
-% have to be run twice to clear warning/error messages.
-
-
-
-
-
-
-% *** CITATION PACKAGES ***
-%
-\ifCLASSOPTIONcompsoc
-  % IEEE Computer Society needs nocompress option
-  % requires cite.sty v4.0 or later (November 2003)
-  % \usepackage[nocompress]{cite}
-\else
-  % normal IEEE
-  % \usepackage{cite}
-\fi
-% cite.sty was written by Donald Arseneau
-% V1.6 and later of IEEEtran pre-defines the format of the cite.sty package
-% \cite{} output to follow that of IEEE. Loading the cite package will
-% result in citation numbers being automatically sorted and properly
-% "compressed/ranged". e.g., [1], [9], [2], [7], [5], [6] without using
-% cite.sty will become [1], [2], [5]--[7], [9] using cite.sty. cite.sty's
-% \cite will automatically add leading space, if needed. Use cite.sty's
-% noadjust option (cite.sty V3.8 and later) if you want to turn this off.
-% cite.sty is already installed on most LaTeX systems. Be sure and use
-% version 4.0 (2003-05-27) and later if using hyperref.sty. cite.sty does
-% not currently provide for hyperlinked citations.
-% The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/cite/
-% The documentation is contained in the cite.sty file itself.
-%
-% Note that some packages require special options to format as the Computer
-% Society requires. In particular, Computer Society  papers do not use
-% compressed citation ranges as is done in typical IEEE papers
-% (e.g., [1]-[4]). Instead, they list every citation separately in order
-% (e.g., [1], [2], [3], [4]). To get the latter we need to load the cite
-% package with the nocompress option which is supported by cite.sty v4.0
-% and later. Note also the use of a CLASSOPTION conditional provided by
-% IEEEtran.cls V1.7 and later.
-
-
-
-
-
-% *** GRAPHICS RELATED PACKAGES ***
-%
-\ifCLASSINFOpdf
-  % \usepackage[pdftex]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../pdf/}{../jpeg/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.pdf,.jpeg,.png}
-\else
-  % or other class option (dvipsone, dvipdf, if not using dvips). graphicx
-  % will default to the driver specified in the system graphics.cfg if no
-  % driver is specified.
-  % \usepackage[dvips]{graphicx}
-  % declare the path(s) where your graphic files are
-  % \graphicspath{{../eps/}}
-  % and their extensions so you won't have to specify these with
-  % every instance of \includegraphics
-  % \DeclareGraphicsExtensions{.eps}
-\fi
-% graphicx was written by David Carlisle and Sebastian Rahtz. It is
-% required if you want graphics, photos, etc. graphicx.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at: 
-% http://www.ctan.org/tex-archive/macros/latex/required/graphics/
-% Another good source of documentation is "Using Imported Graphics in
-% LaTeX2e" by Keith Reckdahl which can be found as epslatex.ps or
-% epslatex.pdf at: http://www.ctan.org/tex-archive/info/
-%
-% latex, and pdflatex in dvi mode, support graphics in encapsulated
-% postscript (.eps) format. pdflatex in pdf mode supports graphics
-% in .pdf, .jpeg, .png and .mps (metapost) formats. Users should ensure
-% that all non-photo figures use a vector format (.eps, .pdf, .mps) and
-% not a bitmapped formats (.jpeg, .png). IEEE frowns on bitmapped formats
-% which can result in "jaggedy"/blurry rendering of lines and letters as
-% well as large increases in file sizes.
-%
-% You can find documentation about the pdfTeX application at:
-% http://www.tug.org/applications/pdftex
-
-
-
-
-
-% *** MATH PACKAGES ***
-%
-%\usepackage[cmex10]{amsmath}
-% A popular package from the American Mathematical Society that provides
-% many useful and powerful commands for dealing with mathematics. If using
-% it, be sure to load this package with the cmex10 option to ensure that
-% only type 1 fonts will utilized at all point sizes. Without this option,
-% it is possible that some math symbols, particularly those within
-% footnotes, will be rendered in bitmap form which will result in a
-% document that can not be IEEE Xplore compliant!
-%
-% Also, note that the amsmath package sets \interdisplaylinepenalty to 10000
-% thus preventing page breaks from occurring within multiline equations. Use:
-%\interdisplaylinepenalty=2500
-% after loading amsmath to restore such page breaks as IEEEtran.cls normally
-% does. amsmath.sty is already installed on most LaTeX systems. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/
-
-
-
-
-
-% *** SPECIALIZED LIST PACKAGES ***
-%
-%\usepackage{algorithmic}
-% algorithmic.sty was written by Peter Williams and Rogerio Brito.
-% This package provides an algorithmic environment fo describing algorithms.
-% You can use the algorithmic environment in-text or within a figure
-% environment to provide for a floating algorithm. Do NOT use the algorithm
-% floating environment provided by algorithm.sty (by the same authors) or
-% algorithm2e.sty (by Christophe Fiorio) as IEEE does not use dedicated
-% algorithm float types and packages that provide these will not provide
-% correct IEEE style captions. The latest version and documentation of
-% algorithmic.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithms/
-% There is also a support site at:
-% http://algorithms.berlios.de/index.html
-% Also of interest may be the (relatively newer and more customizable)
-% algorithmicx.sty package by Szasz Janos:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/algorithmicx/
-
-
-
-
-% *** ALIGNMENT PACKAGES ***
-%
-%\usepackage{array}
-% Frank Mittelbach's and David Carlisle's array.sty patches and improves
-% the standard LaTeX2e array and tabular environments to provide better
-% appearance and additional user controls. As the default LaTeX2e table
-% generation code is lacking to the point of almost being broken with
-% respect to the quality of the end results, all users are strongly
-% advised to use an enhanced (at the very least that provided by array.sty)
-% set of table tools. array.sty is already installed on most systems. The
-% latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/required/tools/
-
-
-%\usepackage{mdwmath}
-%\usepackage{mdwtab}
-% Also highly recommended is Mark Wooding's extremely powerful MDW tools,
-% especially mdwmath.sty and mdwtab.sty which are used to format equations
-% and tables, respectively. The MDWtools set is already installed on most
-% LaTeX systems. The lastest version and documentation is available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/mdwtools/
-
-
-% IEEEtran contains the IEEEeqnarray family of commands that can be used to
-% generate multiline equations as well as matrices, tables, etc., of high
-% quality.
-
-
-%\usepackage{eqparbox}
-% Also of notable interest is Scott Pakin's eqparbox package for creating
-% (automatically sized) equal width boxes - aka "natural width parboxes".
-% Available at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/eqparbox/
-
-
-
-
-
-% *** SUBFIGURE PACKAGES ***
-%\ifCLASSOPTIONcompsoc
-%\usepackage[tight,normalsize,sf,SF]{subfigure}
-%\else
-%\usepackage[tight,footnotesize]{subfigure}
-%\fi
-% subfigure.sty was written by Steven Douglas Cochran. This package makes it
-% easy to put subfigures in your figures. e.g., "Figure 1a and 1b". For IEEE
-% work, it is a good idea to load it with the tight package option to reduce
-% the amount of white space around the subfigures. Computer Society papers
-% use a larger font and \sffamily font for their captions, hence the
-% additional options needed under compsoc mode. subfigure.sty is already
-% installed on most LaTeX systems. The latest version and documentation can
-% be obtained at:
-% http://www.ctan.org/tex-archive/obsolete/macros/latex/contrib/subfigure/
-% subfigure.sty has been superceeded by subfig.sty.
-
-
-%\ifCLASSOPTIONcompsoc
-%  \usepackage[caption=false]{caption}
-%  \usepackage[font=normalsize,labelfont=sf,textfont=sf]{subfig}
-%\else
-%  \usepackage[caption=false]{caption}
-%  \usepackage[font=footnotesize]{subfig}
-%\fi
-% subfig.sty, also written by Steven Douglas Cochran, is the modern
-% replacement for subfigure.sty. However, subfig.sty requires and
-% automatically loads Axel Sommerfeldt's caption.sty which will override
-% IEEEtran.cls handling of captions and this will result in nonIEEE style
-% figure/table captions. To prevent this problem, be sure and preload
-% caption.sty with its "caption=false" package option. This is will preserve
-% IEEEtran.cls handing of captions. Version 1.3 (2005/06/28) and later 
-% (recommended due to many improvements over 1.2) of subfig.sty supports
-% the caption=false option directly:
-%\ifCLASSOPTIONcompsoc
-%  \usepackage[caption=false,font=normalsize,labelfont=sf,textfont=sf]{subfig}
-%\else
-%  \usepackage[caption=false,font=footnotesize]{subfig}
-%\fi
-%
-% The latest version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/subfig/
-% The latest version and documentation of caption.sty can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/caption/
-
-
-
-
-% *** FLOAT PACKAGES ***
-%
-%\usepackage{fixltx2e}
-% fixltx2e, the successor to the earlier fix2col.sty, was written by
-% Frank Mittelbach and David Carlisle. This package corrects a few problems
-% in the LaTeX2e kernel, the most notable of which is that in current
-% LaTeX2e releases, the ordering of single and double column floats is not
-% guaranteed to be preserved. Thus, an unpatched LaTeX2e can allow a
-% single column figure to be placed prior to an earlier double column
-% figure. The latest version and documentation can be found at:
-% http://www.ctan.org/tex-archive/macros/latex/base/
-
-
-
-%\usepackage{stfloats}
-% stfloats.sty was written by Sigitas Tolusis. This package gives LaTeX2e
-% the ability to do double column floats at the bottom of the page as well
-% as the top. (e.g., "\begin{figure*}[!b]" is not normally possible in
-% LaTeX2e). It also provides a command:
-%\fnbelowfloat
-% to enable the placement of footnotes below bottom floats (the standard
-% LaTeX2e kernel puts them above bottom floats). This is an invasive package
-% which rewrites many portions of the LaTeX2e float routines. It may not work
-% with other packages that modify the LaTeX2e float routines. The latest
-% version and documentation can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/sttools/
-% Documentation is contained in the stfloats.sty comments as well as in the
-% presfull.pdf file. Do not use the stfloats baselinefloat ability as IEEE
-% does not allow \baselineskip to stretch. Authors submitting work to the
-% IEEE should note that IEEE rarely uses double column equations and
-% that authors should try to avoid such use. Do not be tempted to use the
-% cuted.sty or midfloat.sty packages (also by Sigitas Tolusis) as IEEE does
-% not format its papers in such ways.
-
-
-
-
-%\ifCLASSOPTIONcaptionsoff
-%  \usepackage[nomarkers]{endfloat}
-% \let\MYoriglatexcaption\caption
-% \renewcommand{\caption}[2][\relax]{\MYoriglatexcaption[#2]{#2}}
-%\fi
-% endfloat.sty was written by James Darrell McCauley and Jeff Goldberg.
-% This package may be useful when used in conjunction with IEEEtran.cls'
-% captionsoff option. Some IEEE journals/societies require that submissions
-% have lists of figures/tables at the end of the paper and that
-% figures/tables without any captions are placed on a page by themselves at
-% the end of the document. If needed, the draftcls IEEEtran class option or
-% \CLASSINPUTbaselinestretch interface can be used to increase the line
-% spacing as well. Be sure and use the nomarkers option of endfloat to
-% prevent endfloat from "marking" where the figures would have been placed
-% in the text. The two hack lines of code above are a slight modification of
-% that suggested by in the endfloat docs (section 8.3.1) to ensure that
-% the full captions always appear in the list of figures/tables - even if
-% the user used the short optional argument of \caption[]{}.
-% IEEE papers do not typically make use of \caption[]'s optional argument,
-% so this should not be an issue. A similar trick can be used to disable
-% captions of packages such as subfig.sty that lack options to turn off
-% the subcaptions:
-% For subfig.sty:
-% \let\MYorigsubfloat\subfloat
-% \renewcommand{\subfloat}[2][\relax]{\MYorigsubfloat[]{#2}}
-% For subfigure.sty:
-% \let\MYorigsubfigure\subfigure
-% \renewcommand{\subfigure}[2][\relax]{\MYorigsubfigure[]{#2}}
-% However, the above trick will not work if both optional arguments of
-% the \subfloat/subfig command are used. Furthermore, there needs to be a
-% description of each subfigure *somewhere* and endfloat does not add
-% subfigure captions to its list of figures. Thus, the best approach is to
-% avoid the use of subfigure captions (many IEEE journals avoid them anyway)
-% and instead reference/explain all the subfigures within the main caption.
-% The latest version of endfloat.sty and its documentation can obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/endfloat/
-%
-% The IEEEtran \ifCLASSOPTIONcaptionsoff conditional can also be used
-% later in the document, say, to conditionally put the References on a 
-% page by themselves.
-
-
-
-
-% *** PDF, URL AND HYPERLINK PACKAGES ***
-%
-%\usepackage{url}
-% url.sty was written by Donald Arseneau. It provides better support for
-% handling and breaking URLs. url.sty is already installed on most LaTeX
-% systems. The latest version can be obtained at:
-% http://www.ctan.org/tex-archive/macros/latex/contrib/misc/
-% Read the url.sty source comments for usage information. Basically,
-% \url{my_url_here}.
-
-
-
-
-
-% *** Do not adjust lengths that control margins, column widths, etc. ***
-% *** Do not use packages that alter fonts (such as pslatex).         ***
-% There should be no need to do such things with IEEEtran.cls V1.6 and later.
-% (Unless specifically asked to do so by the journal or conference you plan
-% to submit to, of course. )
-
-
-% correct bad hyphenation here
-\hyphenation{op-tical net-works semi-conduc-tor}
-
-
-\begin{document}
-%
-% paper title
-% can use linebreaks \\ within to get better formatting as desired
-\title{Bare Demo of IEEEtran.cls\\ for Computer Society Journals}
-%
-%
-% author names and IEEE memberships
-% note positions of commas and nonbreaking spaces ( ~ ) LaTeX will not break
-% a structure at a ~ so this keeps an author's name from being broken across
-% two lines.
-% use \thanks{} to gain access to the first footnote area
-% a separate \thanks must be used for each paragraph as LaTeX2e's \thanks
-% was not built to handle multiple paragraphs
-%
-%
-%\IEEEcompsocitemizethanks is a special \thanks that produces the bulleted
-% lists the Computer Society journals use for "first footnote" author
-% affiliations. Use \IEEEcompsocthanksitem which works much like \item
-% for each affiliation group. When not in compsoc mode,
-% \IEEEcompsocitemizethanks becomes like \thanks and
-% \IEEEcompsocthanksitem becomes a line break with idention. This
-% facilitates dual compilation, although admittedly the differences in the
-% desired content of \author between the different types of papers makes a
-% one-size-fits-all approach a daunting prospect. For instance, compsoc 
-% journal papers have the author affiliations above the "Manuscript
-% received ..."  text while in non-compsoc journals this is reversed. Sigh.
-
-\author{Michael~Shell,~\IEEEmembership{Member,~IEEE,}
-        John~Doe,~\IEEEmembership{Fellow,~OSA,}
-        and~Jane~Doe,~\IEEEmembership{Life~Fellow,~IEEE}% <-this % stops a space
-\IEEEcompsocitemizethanks{\IEEEcompsocthanksitem M. Shell is with the Department
-of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta,
-GA, 30332.\protect\\
-% note need leading \protect in front of \\ to get a newline within \thanks as
-% \\ is fragile and will error, could use \hfil\break instead.
-E-mail: see http://www.michaelshell.org/contact.html
-\IEEEcompsocthanksitem J. Doe and J. Doe are with Anonymous University.}% <-this % stops a space
-\thanks{Manuscript received April 19, 2005; revised January 11, 2007.}}
-
-% note the % following the last \IEEEmembership and also \thanks - 
-% these prevent an unwanted space from occurring between the last author name
-% and the end of the author line. i.e., if you had this:
-% 
-% \author{....lastname \thanks{...} \thanks{...} }
-%                     ^------------^------------^----Do not want these spaces!
-%
-% a space would be appended to the last name and could cause every name on that
-% line to be shifted left slightly. This is one of those "LaTeX things". For
-% instance, "\textbf{A} \textbf{B}" will typeset as "A B" not "AB". To get
-% "AB" then you have to do: "\textbf{A}\textbf{B}"
-% \thanks is no different in this regard, so shield the last } of each \thanks
-% that ends a line with a % and do not let a space in before the next \thanks.
-% Spaces after \IEEEmembership other than the last one are OK (and needed) as
-% you are supposed to have spaces between the names. For what it is worth,
-% this is a minor point as most people would not even notice if the said evil
-% space somehow managed to creep in.
-
-
-
-% The paper headers
-\markboth{Journal of \LaTeX\ Class Files,~Vol.~6, No.~1, January~2007}%
-{Shell \MakeLowercase{\textit{et al.}}: Bare Demo of IEEEtran.cls for Computer Society Journals}
-% The only time the second header will appear is for the odd numbered pages
-% after the title page when using the twoside option.
-% 
-% *** Note that you probably will NOT want to include the author's ***
-% *** name in the headers of peer review papers.                   ***
-% You can use \ifCLASSOPTIONpeerreview for conditional compilation here if
-% you desire.
-
-
-
-% The publisher's ID mark at the bottom of the page is less important with
-% Computer Society journal papers as those publications place the marks
-% outside of the main text columns and, therefore, unlike regular IEEE
-% journals, the available text space is not reduced by their presence.
-% If you want to put a publisher's ID mark on the page you can do it like
-% this:
-%\IEEEpubid{0000--0000/00\$00.00~\copyright~2007 IEEE}
-% or like this to get the Computer Society new two part style.
-%\IEEEpubid{\makebox[\columnwidth]{\hfill 0000--0000/00/\$00.00~\copyright~2007 IEEE}%
-%\hspace{\columnsep}\makebox[\columnwidth]{Published by the IEEE Computer Society\hfill}}
-% Remember, if you use this you must call \IEEEpubidadjcol in the second
-% column for its text to clear the IEEEpubid mark (Computer Society jorunal
-% papers don't need this extra clearance.)
-
-
-
-% use for special paper notices
-%\IEEEspecialpapernotice{(Invited Paper)}
-
-
-
-% for Computer Society papers, we must declare the abstract and index terms
-% PRIOR to the title within the \IEEEcompsoctitleabstractindextext IEEEtran
-% command as these need to go into the title area created by \maketitle.
-\IEEEcompsoctitleabstractindextext{%
-\begin{abstract}
-%\boldmath
-The abstract goes here.
-\end{abstract}
-% IEEEtran.cls defaults to using nonbold math in the Abstract.
-% This preserves the distinction between vectors and scalars. However,
-% if the journal you are submitting to favors bold math in the abstract,
-% then you can use LaTeX's standard command \boldmath at the very start
-% of the abstract to achieve this. Many IEEE journals frown on math
-% in the abstract anyway. In particular, the Computer Society does
-% not want either math or citations to appear in the abstract.
-
-% Note that keywords are not normally used for peerreview papers.
-\begin{IEEEkeywords}
-Computer Society, IEEEtran, journal, \LaTeX, paper, template.
-\end{IEEEkeywords}}
-
-
-% make the title area
-\maketitle
-
-
-% To allow for easy dual compilation without having to reenter the
-% abstract/keywords data, the \IEEEcompsoctitleabstractindextext text will
-% not be used in maketitle, but will appear (i.e., to be "transported")
-% here as \IEEEdisplaynotcompsoctitleabstractindextext when compsoc mode
-% is not selected <OR> if conference mode is selected - because compsoc
-% conference papers position the abstract like regular (non-compsoc)
-% papers do!
-\IEEEdisplaynotcompsoctitleabstractindextext
-% \IEEEdisplaynotcompsoctitleabstractindextext has no effect when using
-% compsoc under a non-conference mode.
-
-
-% For peer review papers, you can put extra information on the cover
-% page as needed:
-% \ifCLASSOPTIONpeerreview
-% \begin{center} \bfseries EDICS Category: 3-BBND \end{center}
-% \fi
-%
-% For peerreview papers, this IEEEtran command inserts a page break and
-% creates the second title. It will be ignored for other modes.
-\IEEEpeerreviewmaketitle
-
-
-
-\section{Introduction}
-% Computer Society journal papers do something a tad strange with the very
-% first section heading (almost always called "Introduction"). They place it
-% ABOVE the main text! IEEEtran.cls currently does not do this for you.
-% However, You can achieve this effect by making LaTeX jump through some
-% hoops via something like:
-%
-%\ifCLASSOPTIONcompsoc
-%  \noindent\raisebox{2\baselineskip}[0pt][0pt]%
-%  {\parbox{\columnwidth}{\section{Introduction}\label{sec:introduction}%
-%  \global\everypar=\everypar}}%
-%  \vspace{-1\baselineskip}\vspace{-\parskip}\par
-%\else
-%  \section{Introduction}\label{sec:introduction}\par
-%\fi
-%
-% Admittedly, this is a hack and may well be fragile, but seems to do the
-% trick for me. Note the need to keep any \label that may be used right
-% after \section in the above as the hack puts \section within a raised box.
-
-
-
-% The very first letter is a 2 line initial drop letter followed
-% by the rest of the first word in caps (small caps for compsoc).
-% 
-% form to use if the first word consists of a single letter:
-% \IEEEPARstart{A}{demo} file is ....
-% 
-% form to use if you need the single drop letter followed by
-% normal text (unknown if ever used by IEEE):
-% \IEEEPARstart{A}{}demo file is ....
-% 
-% Some journals put the first two words in caps:
-% \IEEEPARstart{T}{his demo} file is ....
-% 
-% Here we have the typical use of a "T" for an initial drop letter
-% and "HIS" in caps to complete the first word.
-\IEEEPARstart{T}{his} demo file is intended to serve as a ``starter file''
-for IEEE Computer Society journal papers produced under \LaTeX\ using
-IEEEtran.cls version 1.7 and later.
-% You must have at least 2 lines in the paragraph with the drop letter
-% (should never be an issue)
-I wish you the best of success.
-
-\hfill mds
- 
-\hfill January 11, 2007
-
-\subsection{Subsection Heading Here}
-Subsection text here.
-
-% needed in second column of first page if using \IEEEpubid
-%\IEEEpubidadjcol
-
-\subsubsection{Subsubsection Heading Here}
-Subsubsection text here.
-
-
-% An example of a floating figure using the graphicx package.
-% Note that \label must occur AFTER (or within) \caption.
-% For figures, \caption should occur after the \includegraphics.
-% Note that IEEEtran v1.7 and later has special internal code that
-% is designed to preserve the operation of \label within \caption
-% even when the captionsoff option is in effect. However, because
-% of issues like this, it may be the safest practice to put all your
-% \label just after \caption rather than within \caption{}.
-%
-% Reminder: the "draftcls" or "draftclsnofoot", not "draft", class
-% option should be used if it is desired that the figures are to be
-% displayed while in draft mode.
-%
-%\begin{figure}[!t]
-%\centering
-%\includegraphics[width=2.5in]{myfigure}
-% where an .eps filename suffix will be assumed under latex, 
-% and a .pdf suffix will be assumed for pdflatex; or what has been declared
-% via \DeclareGraphicsExtensions.
-%\caption{Simulation Results}
-%\label{fig_sim}
-%\end{figure}
-
-% Note that IEEE typically puts floats only at the top, even when this
-% results in a large percentage of a column being occupied by floats.
-% However, the Computer Society has been known to put floats at the bottom.
-
-
-% An example of a double column floating figure using two subfigures.
-% (The subfig.sty package must be loaded for this to work.)
-% The subfigure \label commands are set within each subfloat command, the
-% \label for the overall figure must come after \caption.
-% \hfil must be used as a separator to get equal spacing.
-% The subfigure.sty package works much the same way, except \subfigure is
-% used instead of \subfloat.
-%
-%\begin{figure*}[!t]
-%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{subfigcase1}%
-%\label{fig_first_case}}
-%\hfil
-%\subfloat[Case II]{\includegraphics[width=2.5in]{subfigcase2}%
-%\label{fig_second_case}}}
-%\caption{Simulation results}
-%\label{fig_sim}
-%\end{figure*}
-%
-% Note that often IEEE papers with subfigures do not employ subfigure
-% captions (using the optional argument to \subfloat), but instead will
-% reference/describe all of them (a), (b), etc., within the main caption.
-
-
-% An example of a floating table. Note that, for IEEE style tables, the 
-% \caption command should come BEFORE the table. Table text will default to
-% \footnotesize as IEEE normally uses this smaller font for tables.
-% The \label must come after \caption as always.
-%
-%\begin{table}[!t]
-%% increase table row spacing, adjust to taste
-%\renewcommand{\arraystretch}{1.3}
-% if using array.sty, it might be a good idea to tweak the value of
-% \extrarowheight as needed to properly center the text within the cells
-%\caption{An Example of a Table}
-%\label{table_example}
-%\centering
-%% Some packages, such as MDW tools, offer better commands for making tables
-%% than the plain LaTeX2e tabular which is used here.
-%\begin{tabular}{|c||c|}
-%\hline
-%One & Two\\
-%\hline
-%Three & Four\\
-%\hline
-%\end{tabular}
-%\end{table}
-
-
-% Note that IEEE does not put floats in the very first column - or typically
-% anywhere on the first page for that matter. Also, in-text middle ("here")
-% positioning is not used. Most IEEE journals use top floats exclusively.
-% However, Computer Society journals sometimes do use bottom floats - bear
-% this in mind when choosing appropriate optional arguments for the
-% figure/table environments.
-% Note that, LaTeX2e, unlike IEEE journals, places footnotes above bottom
-% floats. This can be corrected via the \fnbelowfloat command of the
-% stfloats package.
-
-
-
-\section{Conclusion}
-The conclusion goes here.
-
-
-
-
-
-% if have a single appendix:
-%\appendix[Proof of the Zonklar Equations]
-% or
-%\appendix  % for no appendix heading
-% do not use \section anymore after \appendix, only \section*
-% is possibly needed
-
-% use appendices with more than one appendix
-% then use \section to start each appendix
-% you must declare a \section before using any
-% \subsection or using \label (\appendices by itself
-% starts a section numbered zero.)
-%
-
-
-\appendices
-\section{Proof of the First Zonklar Equation}
-Appendix one text goes here.
-
-% you can choose not to have a title for an appendix
-% if you want by leaving the argument blank
-\section{}
-Appendix two text goes here.
-
-
-% use section* for acknowledgement
-\ifCLASSOPTIONcompsoc
-  % The Computer Society usually uses the plural form
-  \section*{Acknowledgments}
-\else
-  % regular IEEE prefers the singular form
-  \section*{Acknowledgment}
-\fi
-
-
-The authors would like to thank...
-
-
-% Can use something like this to put references on a page
-% by themselves when using endfloat and the captionsoff option.
-\ifCLASSOPTIONcaptionsoff
-  \newpage
-\fi
-
-
-
-% trigger a \newpage just before the given reference
-% number - used to balance the columns on the last page
-% adjust value as needed - may need to be readjusted if
-% the document is modified later
-%\IEEEtriggeratref{8}
-% The "triggered" command can be changed if desired:
-%\IEEEtriggercmd{\enlargethispage{-5in}}
-
-% references section
-
-% can use a bibliography generated by BibTeX as a .bbl file
-% BibTeX documentation can be easily obtained at:
-% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
-% The IEEEtran BibTeX style support page is at:
-% http://www.michaelshell.org/tex/ieeetran/bibtex/
-%\bibliographystyle{IEEEtran}
-% argument is your BibTeX string definitions and bibliography database(s)
-%\bibliography{IEEEabrv,../bib/paper}
-%
-% <OR> manually copy in the resultant .bbl file
-% set second argument of \begin to the number of references
-% (used to reserve space for the reference number labels box)
-\begin{thebibliography}{1}
-
-\bibitem{IEEEhowto:kopka}
-H.~Kopka and P.~W. Daly, \emph{A Guide to \LaTeX}, 3rd~ed.\hskip 1em plus
-  0.5em minus 0.4em\relax Harlow, England: Addison-Wesley, 1999.
-
-\end{thebibliography}
-
-% biography section
-% 
-% If you have an EPS/PDF photo (graphicx package needed) extra braces are
-% needed around the contents of the optional argument to biography to prevent
-% the LaTeX parser from getting confused when it sees the complicated
-% \includegraphics command within an optional argument. (You could create
-% your own custom macro containing the \includegraphics command to make things
-% simpler here.)
-%\begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,keepaspectratio]{mshell}}]{Michael Shell}
-% or if you just want to reserve a space for a photo:
-
-\begin{IEEEbiography}{Michael Shell}
-Biography text here.
-\end{IEEEbiography}
-
-% if you will not have a photo at all:
-\begin{IEEEbiographynophoto}{John Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% insert where needed to balance the two columns on the last page with
-% biographies
-%\newpage
-
-\begin{IEEEbiographynophoto}{Jane Doe}
-Biography text here.
-\end{IEEEbiographynophoto}
-
-% You can push biographies down or up by placing
-% a \vfill before or after them. The appropriate
-% use of \vfill depends on what kind of text is
-% on the last page and whether or not the columns
-% are being equalized.
-
-%\vfill
-
-% Can be used to pull up biographies so that the bottom of the last one
-% is flush with the other column.
-%\enlargethispage{-5in}
-
-
-
-% that's all folks
-\end{document}
-
-
diff --git a/mpi-energy2-extension/IEEEtran/changelog.txt b/mpi-energy2-extension/IEEEtran/changelog.txt
deleted file mode 100644
index 80e3b3f..0000000
--- a/mpi-energy2-extension/IEEEtran/changelog.txt
+++ /dev/null
@@ -1,762 +0,0 @@
-
-
- Changelog history of the IEEEtran LaTeX class.
- 
-
- v1.8 -- 2012/11/21
- by Harald Hanche-Olsen and Anders Christensen (IEEE Computational Intelligence Society)
-
-*******
-11/2012 v1.8 changes:
-
-1335c1335
-<                 \itemindent 0em%
----
->                 \itemindent 0.3em%
-1386c1386
-<                 \itemindent 0em%
----
->                 \itemindent .3em%
-1436c1436
-<                 \itemindent 0em%
----
->                 \itemindent .3em%
-1524c1524
-< \def\unnumberedfootnote{\gdef\@thefnmark{}\@footnotetext}
----
-> \def\unnumberedfootnote{\gdef\@thefnmark{\quad}\@footnotetext}
-1526c1526
-< \skip\@mpfootins = \skip\footins
----
-> \skip\@mpfootins 0.3\baselineskip
-1531a1532
-> %\long\def\@makefnmark{\scriptsize\normalfont\@thefnmark}
-1541c1542
-< \def\footnoterule{\vskip-2pt \hrule height 0.4pt depth \z@ \vskip1.6pt\relax}
----
-> \def\footnoterule{\vskip-2pt \hrule height 0.6pt depth \z@ \vskip1.6pt\relax}
-1652c1653
-< \def\figurename{Figure}
----
-> \def\figurename{Fig.}
-1740c1741
-< \setlength\abovecaptionskip{0.25\baselineskip}
----
-> \setlength\abovecaptionskip{0.65\baselineskip}
-1799c1800
-< \footnotesize{\centering\normalfont\footnotesize#1.\quad\scshape #2\par}%
----
-> \footnotesize{\centering\normalfont\footnotesize#1.\qquad\scshape #2\par}%
-1812c1813
-< \ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\hfil\box\@tempboxa\hfil}%
----
-> \ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%
-1856c1857
-< \def\table{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}%
----
-> \def\table{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}%
-1861c1862
-< \@namedef{table*}{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}\@dblfloat{table}}
----
-> \@namedef{table*}{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}\@dblfloat{table}}
-3747c3748
-< \def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{1.67ex}\fi
----
-> \def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.5ex}\fi
-3826,3827c3827,3829
-< 
-< \def\@seccntformat#1{\csname the#1dis\endcsname\hskip 1em\relax}
----
-> \def\@seccntformat#1{\hb@xt@ 1.4em{\csname the#1dis\endcsname\hss\relax}}
-> \def\@seccntformatinl#1{\hb@xt@ 1.1em{\csname the#1dis\endcsname\hss\relax}}
-> \def\@seccntformatch#1{\csname the#1dis\endcsname\hskip 1em\relax}
-3843c3845,3853
-<      \protected@edef\@svsec{\@seccntformat{#1}\relax}%
----
->      \ifnum #2=1
->         \protected@edef\@svsec{\@seccntformatch{#1}\relax}%
->      \else
->         \ifnum #2>2
->            \protected@edef\@svsec{\@seccntformatinl{#1}\relax}%
->         \else
->            \protected@edef\@svsec{\@seccntformat{#1}\relax}%
->         \fi
->      \fi
-
-
-
-
-
-
-*****************************************
-
-2007/03/05
- by Michael Shell (MDS)
- http://www.michaelshell.org/
-
-*******
- 3/2007 V1.7a (MDS) changes:
-
- 1) Corrected problem of unwanted two column peer review title page format.
-    Thanks to Virgilio Rodriguez for reporting this bug.
-
- 2) "depreciated" -> "deprecated". Thanks to Virgilio Rodriguez for
-    suggesting this change.
-
-*******
- 1/2007 V1.7 (MDS) changes:
-
- 1) New class option compsoc to support the IEEE Computer Society format.
-
- 2) New class option captionsoff disables the display of figure/table
-    captions. endfloat.sty is now mentioned in the docs. Thanks to Geoff
-    Walker for suggesting these changes.
-
- 3) Fixed compatibility issues with subfig.sty and caption.sty. Thanks to
-    Steven Douglas Cochran and Axel Sommerfeldt for suggesting this change.
-
- 4) New \CLASSINPUT, \CLASSOPTION and \CLASSINFO interface allows for more
-    user control and conditional compilation.
-
- 5) \ifcenterfigcaptions (\centerfigcaptionstrue, \centerfigcaptionsfalse),
-    \CMPARstart and \overrideIEEEmargins have been removed and no are
-    longer supported. The effect of \overrideIEEEmargins can be mimicked
-    via the more general \CLASSINPUT interface:
-    % US letter paper:
-    \newcommand{\CLASSINPUTinnersidemargin}{0.775in}
-    \newcommand{\CLASSINPUToutersidemargin}{0.585in}
-    % A4 paper:
-    \newcommand{\CLASSINPUTinnersidemargin}{17mm}
-    \newcommand{\CLASSINPUToutersidemargin}{11.647mm}
-
- 6) Several commands and environments have been deprecated in favor of
-    replacements with IEEE prefixes to better avoid potential future name
-    clashes with other packages. Legacy code retained to allow the use of
-    the obsolete forms (for now), but with a warning message to the console
-    during compilation:
-    \IEEEauthorblockA, \IEEEauthorblockN, \IEEEauthorrefmark,
-    \IEEEbiography, \IEEEbiographynophoto, \IEEEkeywords, \IEEEPARstart,
-    \IEEEproof, \IEEEpubid, \IEEEpubidadjcol, \IEEEQED, \IEEEQEDclosed,
-    \IEEEQEDopen, \IEEEspecialpapernotice. IEEEtran.cls now redefines
-    \proof in way to avoid problems with the amsthm.sty package.
-    For IED lists:
-    \IEEEiedlabeljustifyc, \IEEEiedlabeljustifyl, \IEEEiedlabeljustifyr,
-    \IEEEnocalcleftmargin, \IEEElabelindent, \IEEEsetlabelwidth,
-    \IEEEusemathlabelsep
-
- 7) These commands/lengths now require the IEEE prefix and do not have
-    legacy support: \IEEEnormaljot.
-    For IED lists: \ifIEEEnocalcleftmargin, \ifIEEEnolabelindentfactor,
-    \IEEEiedlistdecl, \IEEElabelindentfactor
-
- 8) \normalsizebaselineskip skip replaced by
-    \CLASSINFOnormalsizebaselineskip (nonrubber dimen) length.
-    Also, new \CLASSINFOnormalsizeunitybaselineskip (nonrubber dimen)
-    provided.
-
- 9) Now defaults to using Alpha numbering rather than Roman for appendices
-    numbering. This is because Alpha numbering is more common and avoids
-    problems with theorem numbering. \ifuseRomanappendices
-    (\useRomanappendicestrue, \useRomanappendicesfalse) is no longer
-    supported. Instead, use the new class option romanappendices if Roman
-    appendices numbering is desired. Thanks to Leonid Mirkin for reporting
-    the problem with theorems in appendices and suggesting changes.
-
-10) Improved paper size setting code for pdflatex.
-
-11) Better handling of theorem numbering when using the section counter
-    within the appendix(cies). Thanks to Leonid Mirkin for suggesting
-    this change.
-
-12) Fixed bug that caused equations at the end of theorems to be too
-    close to the line below them.
-
-13) Provided hook to conference mode console notice and changed notice to
-    better support conferences that use A4 paper. Thanks to Volker Kuhlmann
-    for suggesting this change.
-
-14) \IEEEauthorrefmark made robust to allow it to be used in \thanks
-    without a leading \protect
-
-15) Improved \textunderscore to provide a much better fake _ when used with
-    OT1 encoding. Under OT1, detect use of pcr or cmtt \ttfamily and use
-    available true _ glyph for those two typewriter fonts.
-
-16) Revised internal \@sect command to be more robust for users who employ
-    modified section heading formats. Thanks to Zarko F. Cucej for
-    suggesting this change.
-
-17) Improved \thesubsubsection definition to prevent breaks at the hyphen.
-    Thanks to Moritz Borgmann for suggesting this change. Thanks to
-    Dan Luecking and Heiko Oberdiek for explaining some of the various
-    alternatives and techniques to fix it.
-
-18) No longer provide \NAT@parse hack to get cite.sty to play (somewhat)
-    with hyperref.sty as this is already included in cite.sty version
-    4.0 (2003-05-27) and later.
-
-19) At the beginning of document, set the default style of url.sty to be
-    the same as the current text font - as is done in IEEE journals.
-
-20) Corrected excessive line spacing in journal table captions. Thanks to
-    Moritz Borgmann for suggesting this change.
-
-21) Corrected \thesubsubsection to use the "I-A1" format IEEE uses rather
-    than "I-A.1" as was done before. Ditto for \theparagraph. Thanks to
-    Moritz Borgmann for suggesting this change.
-
-22) Enclose papersize specials within \AtBeginDvi in case someone wants
-    to make a format with IEEEtran. Thanks to Moritz Borgmann for
-    suggesting this change.
-
-23) Eliminated the small space after abstract and keywords dash as IEEE
-    now does. Thanks to Moritz Borgmann for suggesting this change.
-
-24) IEEEkeywords is no longer locked out in conference mode
-
-25) Increase defaults of \binoppenalty and \relpenalty to discourage
-    breaks within equations. Thanks to Moritz Borgmann for suggesting
-    this change.
-
-26) Support optional argument for IEEEproof. Thanks to Ingo Steinwart for
-    suggesting this change. Also, start a new \par with \IEEEproof.
-
-27) Add support for an optional argument to \bstctlcite.
-
-28) Changed \topfraction and \dbltopfraction from 1.0 to 0.9. Thanks to
-    Donald Arseneau for suggesting this change.
-
-
-*******
- 09/2005 V1.6c (MDS) changes:
-
- 1) Changed endfigure/endfloat definitions so as not to cause problems with
-    preview-LaTeX and other packages. Thanks to Stephan Heuel and David
-    Kastrup for reporting this problem.
-
-
-
-*******
- 11/2002 V1.6b (MDS) changes:
-
- 1) Fixed problem with figure captions when using hyperref. Thanks to 
-    Leandro Barajas and Michael Bassetti for reporting this bug.
-
- 2) Provide a fake nabib command \NAT@parse so that hyperref will not
-    interfere with the operation of cite.sty. However, as a result citation
-    numbers will not be hyperlinked. Also, natbib will not be able to work
-    with IEEEtran. However, this is perhaps the best solution until
-    cite.sty and hyperref.sty are able to co-exist with each other.
-    It easy enough to override the fake command via:
-    \makeatletter
-    \let\NAT@parse\undefined
-    \makeatother
-
- 3) Revised font selection method so as not to have problems when used
-    with setspace.sty. Thanks to Zhang Yan for reporting this bug.
-
- 4) Added \special to feed papersize to dvips. Thanks to Moritz Borgmann 
-    for suggesting this feature.
-
- 5) In addition to the IEEE IED lists, the original IED style list
-    environments (as is done in article.cls) are now provided as
-    LaTeXitemize, LaTeXenumerate, and LaTeXdescription. Also, users can
-    now redefine \makelabel within IEEE IED list controls. There may be
-    some use for this in specialized applications. Thanks to Eli Barzilay
-    for suggesting this feature.
-
- 6) \table* now defaults to \footnotesize text like \table.
-
- 7) The draft modes now no longer force a pagebreak after the title.
-    Thanks to Christian Peel for suggesting this change.
-
- 8) New draftclsnofoot mode is like draftcls, but does not display the
-    date and the word "DRAFT" at the foot of the page. Thanks to
-    Christian Peel for suggesting this feature.
-
- 9) New peerreview and peerreviewca modes with \IEEEpeerreviewmaketitle
-    command allows for a "cover" titlepage for anonymous peer review.
-    Except for the cover titlepage, peerreview is much like journal mode.
-    peerreviewca is like peerreview, but allows the author names to be
-    entered and formatted as under conference mode so that author
-    affiliations and contact information can be easily seen on the cover
-    page. Thanks to Eric Benedict for suggesting this feature.
-
-
-
-*******
- 7/2002 V1.6 (MDS) changes:
- 
- 1) Added conference mode via conference option. Defaults to the
-    traditional journal mode. e.g., \documentclass[conference]{IEEEtran}
- 
- 2) Added support for A4 paper via new a4paper option. Pdflatex's paper
-    size lengths are now automatically set to the proper paper size being
-    used.
- 
- 3) Revised margins again. Page text is now horizontally centered.
-    Conference mode increases the top and bottom margins with the bottom
-    margin being slightly larger. For A4 paper, the top margin and text
-    typesetting will not change from those of US letter paper, but the side
-    margins will be smaller and the bottom margin will be larger than that
-    of US letter. All per IEEE specs.
-
- 4) Fixed footnote line spacing anomaly in draft mode. 
-    Thanks to Alberto Rodriguez for reporting this bug.
-    
-    Also, slightly revised footnote and \thanks note spacing.
-    Set \interfootnotelinepenalty=10000 to prevent LaTeX
-    from breaking footnotes across multiple pages or columns.
-
- 5) Fixed bug that caused overwritten photo areas and sometimes anomalous
-    spacing when a new paragraph was started within a biography. Also,
-    the presence of \par's, new lines or spaces at the beginning of
-    abstract, keywords, biography, or biographynophoto will no longer
-    affect the first word spacing.
-    Thanks to Eric Durant for reporting this bug.
-    
-    The biography environment now does a better job in preventing
-    a biography photo area from being broken across pages or columns.
-
- 6) Fixed whitespace between \cite entries bug. i.e.,
-    both \cite{einstein24, knuth84} and \cite{einstein24,knuth84}
-    are now valid. \cite is now a robust command as it should be.
-    IEEEtran now no longer defines the old non-standard \shortcite or 
-    \citename.
-    
-    The base IEEEtran.cls does not sort citation numbers or produce ranges
-    for three or more consecutive numbers. However, V1.6 of IEEEtran.cls 
-    now pre-defines the following format control macros to facilitate easy
-    use with Donald Arseneau's cite.sty package (tested with cite.sty V3.9):  
-
-    \def\citepunct{], [}
-    \def\citedash{]--[}
-    
-    cite.sty is standard on most LaTeX sytems and can be obtained from
-    www.ctan.org. Thanks to Donald Arseneau for creating cite.sty,
-    providing the required format arguments to produce the IEEE style
-    and designing a cite interface capable of handling the IEEE citation
-    style.
-    
-    Note: Historically, IEEE has wanted authors to "hardcode" symbolics.
-    (i.e., replace all \cite{} with fixed [x]). However, it now seems that
-    most electronic manuscript submissions to IEEE are in .pdf format, and 
-    as such, do not require the LaTeX document reference numbers to be hard
-    coded. If an author is required to submit actual LaTeX files, I do
-    recommend that the bibliography file (.bbl) be copied into the .tex
-    document and the \bibliographystyle{} and \bibliography{} commands be
-    commented out so that the .tex file does not depend on (potentially
-    lengthy and/or confidential) external bibliography database files
-
- 7) Adjusted some spacing parameters. The spacing above and below equations
-    has been revised (to a typical IEEE value). \jot now has a decent value.
-    The title text is now exactly 24pt. (On a related note, \fontsubfuzz has
-    been increased to 0.9pt to prevent annoying font substitution warnings
-    when using the Computer Modern fonts that use the 24.88pt size.)
-    In V1.6, \small is now 8.5pt in 9pt docs because \footnotesize is 8pt.
-    For 9pt docs, you should probably go ahead and use \footnotesize when
-    you need text a little smaller than \normalsize.
-    The interword spacing has been adjusted to be extremely close to that
-    which IEEE uses. You can use a new class option, nofonttune, if you need
-    to disable the adjusting of the interword spacing. This adjustment and
-    an increase to \hyphenpenalty have greatly reduced the amount of
-    hyphenation in a typical paper.
-       The baselineskip for the normalsize fonts has been tweaked to reduce
-    underfull vboxes on journal paper columns with only paragraphs. 
-    Conference mode does the same thing but by also tweaking the \textheight
-    slightly off 9.25in (IEEE spec) to ensure an integer number of lines per
-    page. Draft (also draftcls) mode has also been revised to reduce
-    underfull vbox warnings. However, draft mode can still produce underfull
-    vboxes (a direct result of the increase in line spacing and margins) if:
-    A non-normalsize font occupies an entire column (abstract and index
-    terms take up a whole column by themselves); or the beginning of a
-    section occurs near the end of a column and cannot be squeezed into the
-    bottom, etc. This is normal as draft mode's liberal spacings cannot
-    guarantee perfect formatting.
-
- 8) New biographynophoto environment for biographies without photos.
-    Usage: 
-    
-    \begin{biographynophoto}{author name}
-    biography text here 
-    \end{biographynophoto}
-    
- 9) Fixed bug that produced multiple table of contents entries for papers
-    with more than one biography. Also, biography now works better with
-    hyperref.
- 
-10) New \sublargesize font size command provides for 11pt text in a 10pt
-    document. (Needed for things like author names.) For documents not
-    using 10pt normal size text, \sublargesize is currently identical 
-    to \large.
-
-11) New \IEEEmembership command to provide correct font to indicate IEEE
-    membership for journal papers.
-
-12) Fixed author name line overflow problem when in journal mode. This
-    problem had been introduced in V1.5 in my rush to get \and to work for
-    conferences. \and is unneeded (and invalid) in journal mode. For 
-    conference mode, \and will work as expected and features an optional
-    spacing argument. i.e., \and[\hspace{5ex}] 
-    \and will default (recommended) to using \hfill which will result in
-    equal spacing between author blocks.
- 
-13) New \authorblockN, \authorblockA and \authorrefmark commands to 
-    facilitate easy formatting of author names, affiliations and cross
-    reference symbols, respectively, when in conference mode. These 
-    three commands are to be used only for conference papers.
-    In conference mode, \author text is placed within a modified tabular
-    environment (somewhat like article.cls). So, within \author in
-    conference mode, you should not try to enclose multiple \\ within an
-    environment or command (other than the argument braces of
-    \authorblockX{}). For example:
-    
-    \author{\authorblockN{{John Doe \\ Jane Doe}}} % WRONG!
-    
-    will generate an error. 
-  
-    Note that font size/attribute changes will now persists across \\
-    within \author. (But, not across author blocks nor across \and.)
-    However, with the new commands, there should be no need to alter any
-    font attributes within \author. All text sizing and spacing within 
-    \author{} and the author block commands is per IEEE specs for both 
-    conference and journal modes. (In conference mode, the author names
-    are only very slightly larger than the affiliations which are in normal
-    size.) For specialized applications you can alter the justification of
-    author lines by placing \hfill at the beginning or at the end of a line.
-    The interline spacing within \author is determined by the font
-    attributes that are in effect at the end of each line within author.
- 
-14) Because the titles and author name blocks use different font
-    sizes/styles from the main text, it was possible that two column papers
-    with titles that span both columns (standard journal and conference
-    papers, but not technotes) with certain numbers of lines for the title
-    and authors' name/affiliations can cause underfull vbox problems
-    (paragraphs with large spacings between them) in the second column of
-    the main text on the title page - if there were no new sections,
-    equations or figures in this column (they would provide some needed
-    rubber spacing). The use of things like special paper notices and
-    publisher ID marks also affected this issue. The problem could not
-    happen in the first column because the first column has a rubber length
-    around the heading of the first section. Furthermore, problems seldom
-    occurred on pages after the first as the margins had been chosen not to
-    cause it with the popular font sizes. Rubber lengths after the author
-    names would not fix this problem.
-       Auto-calculating a "good" spacing after the title is a tad difficult
-    to do in LaTeX. However, I am pleased to report that V1.6 has this new
-    capability - "dynamically determined title spacing". IEEEtran will now
-    measure the height of all the title and author text in \maketitle
-    and then calculate a rigid (non-rubber) spacer to follow that meets
-    IEEE specs and also produces a \textheight on the title page that
-    ensures an integer number of normalsized lines on the rest of the page.
-    Single column  papers, and two column papers with the title entirely in
-    column one (technotes) do not need dynamic rigid spacing and therefore
-    use standard rubber spacers.
-    
-    Note: This problem can still crop up if you use floats that span both
-    columns (i.e., figure*). It has been a decade+ long limitation with
-    LaTeX that the stretchable portion of \dbltextfloatsep is ignored. 
-    If you get a problem with underful vbox warnings and paragraphs that
-    "are pulled apart" on page with a float that spans both columns, tweak
-    the space between the figure and the main text a little:
-    
-    \vskip 5pt
-    \end{figure*}
-    
-    If you can't find a value that fixes both columns, you are going to
-    have to put a rubber spacer somewhere in one or both of the columns.
-15) Because of change #14 above, those of you using \pubid will, as of V1.6,
-    have to place it *before* \maketitle in order for it have the intended 
-    affect. The dynamic spacer algorithm must see if you are using \pubid
-    when \maketitle is called. \pubidadjcol works as before except that it
-    now has additional logic to prevent it from doing anything if \pubid
-    was never called.
-    
-16) In some unusual, non-standard circumstances, an author may desire to
-    alter the spacing after the title area or put some unusual text above
-    the main text. For instance, to stop a bad break when a new section
-    occurs right at the start of the second page. This is difficult to do
-    when the title spans both columns of two column text since LaTeX treats
-    such title text as a type of float. A new command,
-    \IEEEaftertitletext{}, gives access to the end of that produced by
-    \maketitle. The types of things that can go into \IEEEaftertitletext
-    are the same as those into \twocolumn[] - no \par, but \\ are OK. There
-    is no restriction on the range of spacings that can be used. e.g.,
-    \IEEEaftertitletext{\vspace{-100pt}} will push the main text well into
-    the title and \IEEEaftertitletext{\vspace{100pt}} will push it far down
-    the page. You will have complete control. If used, place
-    \IEEEaftertitletext{} before \maketitle like \title and \author.
-    IEEEtran's dynamic title spacing intentionally does not take into
-    consideration the contents of \IEEEaftertitletext{} when determining
-    the spacer after the title area (otherwise it would try to second
-    guess you), so the user will have manually adjust the height of the
-    contents in \IEEEaftertitletext{} if the problem discussed in #14 above
-    should develop. A safe bet is to keep the height of contents of
-    \IEEEaftertitletext{} to integer multiples of \baselineskip, e.g.,
-    \IEEEaftertitletext{\vspace{-1\baselineskip}} 
-    
-    Because it can result in an IEEE nonstandard format, the use of
-    \IEEEaftertitletext{} is discouraged. Possible uses include (1) the use
-    of IEEEtran for non-IEEE work with different title spacing requirements,
-    or (2) as an emergency manual override if a problem should develop in 
-    IEEEtran's automatic spacing algorithm.
- 
-17) completely rewritten \PARstart to:
-    a. no longer have problems when the user begins an environment
-       within the paragraph that uses \PARstart.
-    b. auto-detect and use the current font family
-    c. revise handling of the space at the end of the first word so that
-       interword glue will now work as normal.
-    d. produce correctly aligned edges for the (two) indented lines.
-
-    Because the current font family is now auto-detected, there is no
-    longer any need for \CMPARstart - it is now the same as \PARstart.
-   
-18) There is now a new "open box" Q.E.D. symbol (\QEDopen) as well as the
-    original default (\QED) closed one (\QEDclosed). Some journals use
-    the open form. To make \proof use the open form, just do:
-    \renewcommand{\QED}{\QEDopen}
-
-19) Additional \typeout{} notices added to warn the user when unusual 
-    settings/commands are detected or as reminders to avoid common errors
-    when in conference mode.
-
-20) IEEEtran now provides \abovecaptionskip and \belowcaptionskip skip
-    registers because article class provides them and some packages
-    may error if they are missing. However, IEEEtran only uses 
-    \abovecaptionskip for actual caption spacing.
-
-21) Fixed bug that prevented users from redefining the section headings
-    to use arabic digits. Thanks to Richardt H. Wilkinson for reporting
-    this bug.
-
-22) Code cleaned up to be more efficient with the use of TeX registers;
-    removed some old LaTeX 2.09 code; revised option processing to 
-    LaTeX2e standard; eliminated unwanted "phantom" spaces in some
-    environments.
-
-23) Added new \IEEEeqnarray, \IEEEeqnarraybox, \IEEEeqnarrayboxm and 
-    \IEEEeqnarrayboxt environments to provide superior alternatives to the
-    standard LaTeX \eqnarray, \array and \tabular. Additional new support
-    commands include \IEEEeqnarraydecl, \IEEEeqnarrayboxdecl,
-    \IEEEeqnarraymathstyle, \IEEEeqnarraytextstyle, \yesnumber.
-    \IEEEnonumber, \IEEEyesnumber, \IEEEyessubnumber, \IEEEeqnarraynumspace,
-    \IEEEeqnarraymulticol, \IEEEeqnarrayomit, \IEEEeqnarraydefcol,
-    \IEEEeqnarraydefcolsep, \IEEEeqnarrayseprow, \IEEEeqnarrayseprowcut,
-    \IEEEeqnarrayrulerow, \IEEEeqnarraydblrulerowcut,
-    \IEEEeqnarraystrutmode, \IEEEeqnarraystrutsize,
-    \IEEEeqnarraystrutsizeadd, \IEEEvisiblestrutstrue,
-    \IEEEvisiblestrutsfalse and \IEEEstrut.
-    These are documented in the user's guide.
-    
-24) V1.6 changed back to using () around theorem names (which are also now
-    in italics) as this is what IEEE is using now. Thanks to Christian Peel
-    for reporting this. Also, when section numbers are used as the first
-    part of theorem numbers, display them in arabic, not Roman.
-    
-25) New \IEEEtriggeratref{X} command allows a page break to be triggered
-    just before the given reference number "X". This is most useful when
-    balancing the columns on the last page and a \newpage between references
-    is desired. \IEEEtriggercmd{X} allows a different command to be executed
-    at trigger.
-
-
-
-*******
- 7/2001 V1.5 (MDS) changes:
-
-
- 1) Fixed \and within \author bug: (! Misplaced \crcr. \endtabular ->\crcr)
-    Thanks to Rainer Dorsch for discovering and reporting that \and 
-    did not work.
-    
- 2) Fixed the biography environment so that if a biography's text is shorter
-    than the area allocated for the photo, a collision with the next
-    biography does not occur. You can now put real graphics (using the
-    graphicx package) into the biography photo box with a new optional 
-    argument of the biography command! For example:
-    
-    \begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,
-                      keepaspectratio]{./tux.eps}}]{Linux Penguin}
-    
-    will use the specified graphic as the author's photo. The photo area is
-    exactly 1in wide by 1.25in high - as is done in IEEE Transactions. Try
-    to keep the same 4:5 aspect ratio if scanning/cropping your photos. 
-    Note the need for the extra set of enclosing braces around the
-    \includegraphics. Without it, The LaTeX parser may get confused when it
-    sees the \includegraphics's brackets within the biography's optional
-    argument. Due to the length of the \includegraphics command, you may
-    wish to define your own shorthand form of it. I have not done so with
-    IEEEtran to prevent dependence on the graphicx package. If you do not
-    use the optional argument, or leave it empty, a standard frame box
-    with the words "Place Photo Here" will be used. If you want the space
-    to remain completely empty, you can do:
-    
-    \begin{biography}[\mbox{}]{The Invisible Man} 
-    
-    The interface to biography's optional argument is into a
-    1in X 1.25in minipage in which the argument text is centered both 
-    horizontally and vertically:
-    
-    \begin{minipage}[b][1.25in][c]{1in}%
-    \centering
-    #1%
-    \end{minipage}
-    
-    Within the biography environment, \unitlength is set to 1in.
-    With this in mind, you can even design your own custom frameboxes.
-    For instance:
-    
-    \begin{biography}[\framebox(1,1.25){\parbox[][\height
-                     ][c]{0.9in}{\centering PLACE\\ PHOTO\\
-                                  HERE}}]{Author Name}
-    
-    will yield the same type of result as the default photo box.
-    
-    Thanks to Herbert Voss for discovering the collision bug, suggesting
-    the ability to handle graphics and providing some prototype code.
-
-
-
-*******
- 3/2001 V1.4 (MDS) changes:
-
-
- 1) New "draftcls" and "final" options have been added.
-    Thanks to Dragan Cvetkovic for suggesting an option like draftcls.
-    
- 2) Documentation changes to reflect the fact that this IEEEtran.cls 
-    is no longer beta test.
-
- 3) Slightly revised caption sizes. Figure and table captions are now 
-    in \footnotesize, not \small as before.
-
- 4) Allow user to control figure caption justification. IEEEtran.cls 
-    normally defaults to left justified as is done in Transactions.
-    However, for conferences, you may wish to issue the command:
-    \centerfigcaptionstrue
-    in the preamble. Short (less than one line long) figure captions
-    will then be centered. Multi-line figure captions will always be 
-    properly left justified. V1.6: This is already done for you when
-    using the conference mode.
-
-
-
-*******
- 1/2001 V1.3 
- Michael Shell (MDS) made extensive changes and additions:
-
-
- BUGS FIXED (and many others too numerous to mention!):
- 1) Fixed improper alignment with itemized, enumerated and
-    description lists. Added new controls to these three
-    environments so that it is easy to get the alignment IEEE
-    uses. Furthermore, the itemize, enumerate and description lists
-    no longer force a new paragraph to begin at the end the list
-    (\par). (Sometimes lists are used within paragraphs.) 
- 
- 2) JVH's fixes now allow things like $\mathbf{N}(0,P(0))$
-    to work properly without needing the extra braces:
-    ${\mathbf{N}}(0,P(0))$. There is no longer any dependence
-    on the "rawfonts" and "oldlfont" packages. Thanks Juergen! 
- 
- 3) Fixed underfull hbox errors and incorrect reference number
-    alignment when the number of references in the bibliography
-    exceeded 9 entries (which is almost every paper!).
-  
- 4) Removed dependence on the LaTeX sizexx.clo files.
-    Now, 9pt documents should work correctly even on systems that
-    lack a size9.clo file. This is most often used in conjunction
-    with the option "technote" for "correspondence" papers like those
-    in IEEE Transactions on Information Theory. For virtually all
-    other papers, 10pt is used and so it is the default.
-    Some improper font sizes have been corrected. \footnotesize is
-    now 8pt in 9pt docs, so footnotes in technotes should be the
-    correct size now. 
- 
- 5) Added \interlinepenalty within the bibliography section to discourage
-    LaTeX from breaking within a reference. IEEE almost never breaks within
-    a reference and when they do it is usually in technotes
-    (correspondence papers). You may get an underfull vbox warning in the
-    bibliography indicating that the spacing just before the "REFERENCES" 
-    section is larger than normal, but the final result will be more like 
-    what IEEE will publish. See the comments in the BIBLIOGRAPHY section
-    around line 2034 below if you want to change this behavior.
-
- 6) No longer "blows up" when you use \paragraph and have a table
-    of contents.
- 
- 7) Theorem environment changed, (but for V1.6, back to the old way, sigh).
- 
- 8) Figure captions adjusted: IEEE left (not center) justifies
-    figure captions (for journals) and does not indent figure caption text.
- 
- 9) Adjusted some spacings in the table of contents(TOC))/list-of-figures/
-    list-of-tables so that section/table numbers will not so easily 
-    collide with the titles. Section VIII was usually the worst offender.
-    Still doesn't right justify the section numbers, but neither does 
-    article.cls (This must be why LaTeX likes the x.y.z section numbering
-    scheme unlike I, II, III, etc. of IEEE. )
-    It may be "normal" as it is (left justified). sigh.
- 
-10) Now uses "index terms" now as a heading instead of "keywords".
-    Furthermore, the "index terms" and "abstract" headings are in bold
-    italic. This is how IEEE does things.
-
-11) \thebibliography and \biography now put entries into
-    the table of contents for you.
-
-*******
-
-
-
-
-
-
- *******
- 9/2000 (JVH) changes: (now designated as V1.2)
- 
- made some corrections to get closer to LaTeX2e
- 20000906 Juergen v.Hagen
- vonhagen@ihefiji.etec.uni-karlsruhe.de
-
- Permission to redistribute granted as of December 2000.
- *******
-
-
-
-
-
- *******
- 
- 1996 (JWD) LaTeX2e version: (now designated as V1.1)
-  
- In the most recent TeXhax digest, there was a request for a copy of
- IEEEtrans.sty modified to work with LaTeX2e.  I have a version I
- modified to make it IEEEtrans.cls, which I have sent to the person
- making the request and am now sending to you to consider posting to
- the archives.
- --
- Jon Dixon
- dixonj@colorado.edu
- http://spot.colorado.edu/~dixonj/
-
-*******
-
-
-
-
-
-*******
-
- 30-August-1993 original LaTeX 2.09 version (IEEEtran.sty),
- (now designated as V1.0):
-
- by Gerry Murray and Silvano Balemi
- Automatic Control Lab, ETH Zurich, Switzerland
- balemi@aut.ee.ethz.ch
-
-*******
-
-
-
diff --git a/mpi-energy2-extension/SDlogo-3p.pdf b/mpi-energy2-extension/SDlogo-3p.pdf
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diff --git a/mpi-energy2-extension/ecrc-template-1.tex b/mpi-energy2-extension/ecrc-template-1.tex
new file mode 100644
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--- /dev/null
+++ b/mpi-energy2-extension/ecrc-template-1.tex
@@ -0,0 +1,1462 @@
+
+% Template for Elsevier CRC journal article
+% version 1.1 dated 16 March 2010
+
+% This file (c) 2010 Elsevier Ltd.  Modifications may be freely made,
+% provided the edited file is saved under a different name
+
+% This file contains modifications for Procedia Computer Science
+% but may easily be adapted to other journals
+
+% Changes since version 1.0
+% - elsarticle class option changed from 1p to 3p (to better reflect CRC layout)
+
+%-----------------------------------------------------------------------------------
+
+%% This template uses the elsarticle.cls document class and the extension package ecrc.sty
+%% For full documentation on usage of elsarticle.cls, consult the documentation "elsdoc.pdf"
+%% Further resources available at http://www.elsevier.com/latex
+
+%-----------------------------------------------------------------------------------
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%                                          %%
+%% Important note on usage                  %%
+%% -----------------------                  %%
+%% This file must be compiled with PDFLaTeX %%
+%% Using standard LaTeX will not work!      %%
+%%                                          %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% The '3p' and 'times' class options of elsarticle are used for Elsevier CRC
+\documentclass[3p,times]{elsarticle-1}
+
+%% The `ecrc' package must be called to make the CRC functionality available
+\usepackage{ecrc}
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage[english]{babel}
+\usepackage{algpseudocode}
+\usepackage{graphicx}
+\usepackage{algorithm}
+\usepackage{subfig}
+\usepackage{amsmath}
+\usepackage{url}
+\usepackage{multirow}
+\DeclareUrlCommand\email{\urlstyle{same}}
+
+\usepackage[autolanguage,np]{numprint}
+\AtBeginDocument{%
+  \renewcommand*\npunitcommand[1]{\text{#1}}
+  \npthousandthpartsep{}}
+
+\usepackage{xspace}
+\usepackage[textsize=footnotesize]{todonotes}
+\newcommand{\AG}[2][inline]{%
+  \todo[color=green!50,#1]{\sffamily\textbf{AG:} #2}\xspace}
+\newcommand{\JC}[2][inline]{%
+  \todo[color=red!10,#1]{\sffamily\textbf{JC:} #2}\xspace}
+
+\newcommand{\Xsub}[2]{{\ensuremath{#1_\mathit{#2}}}}
+
+%% used to put some subscripts lower, and make them more legible
+\newcommand{\fxheight}[1]{\ifx#1\relax\relax\else\rule{0pt}{1.52ex}#1\fi}
+
+\newcommand{\CL}{\Xsub{C}{L}}
+\newcommand{\Dist}{\mathit{Dist}}
+\newcommand{\EdNew}{\Xsub{E}{dNew}}
+\newcommand{\Eind}{\Xsub{E}{ind}}
+\newcommand{\Enorm}{\Xsub{E}{Norm}}
+\newcommand{\Eoriginal}{\Xsub{E}{Original}}
+\newcommand{\Ereduced}{\Xsub{E}{Reduced}}
+\newcommand{\Es}{\Xsub{E}{S}}
+\newcommand{\Fdiff}[1][]{\Xsub{F}{diff}_{\!#1}}
+\newcommand{\Fmax}[1][]{\Xsub{F}{max}_{\fxheight{#1}}}
+\newcommand{\Fnew}{\Xsub{F}{new}}
+\newcommand{\Ileak}{\Xsub{I}{leak}}
+\newcommand{\Kdesign}{\Xsub{K}{design}}
+\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{\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{\Pmax}[1][]{\Xsub{P}{max}_{\fxheight{#1}}}
+\newcommand{\Pidle}[1][]{\Xsub{P}{idle}_{\fxheight{#1}}}
+\newcommand{\TcpOld}[1][]{\Xsub{T}{cpOld}_{#1}}
+\newcommand{\Tnew}{\Xsub{T}{New}}
+\newcommand{\Told}{\Xsub{T}{Old}}
+
+
+
+
+%% The ecrc package defines commands needed for running heads and logos.
+%% For running heads, you can set the journal name, the volume, the starting page and the authors
+
+%% set the volume if you know. Otherwise `00'
+\volume{00}
+
+%% set the starting page if not 1
+\firstpage{1}
+
+%% Give the name of the journal
+\journalname{Procedia Computer Science}
+
+%% Give the author list to appear in the running head
+%% Example \runauth{C.V. Radhakrishnan et al.}
+\runauth{}
+
+%% The choice of journal logo is determined by the \jid and \jnltitlelogo commands.
+%% A user-supplied logo with the name <\jid>logo.pdf will be inserted if present.
+%% e.g. if \jid{yspmi} the system will look for a file yspmilogo.pdf
+%% Otherwise the content of \jnltitlelogo will be set between horizontal lines as a default logo
+
+%% Give the abbreviation of the Journal.
+\jid{procs}
+
+%% Give a short journal name for the dummy logo (if needed)
+\jnltitlelogo{Procedia Computer Science}
+
+%% Hereafter the template follows `elsarticle'.
+%% For more details see the existing template files elsarticle-template-harv.tex and elsarticle-template-num.tex.
+
+%% Elsevier CRC generally uses a numbered reference style
+%% For this, the conventions of elsarticle-template-num.tex should be followed (included below)
+%% If using BibTeX, use the style file elsarticle-num.bst
+
+%% End of ecrc-specific commands
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%% The amssymb package provides various useful mathematical symbols
+\usepackage{amssymb}
+%% The amsthm package provides extended theorem environments
+%% \usepackage{amsthm}
+
+%% The lineno packages adds line numbers. Start line numbering with
+%% \begin{linenumbers}, end it with \end{linenumbers}. Or switch it on
+%% for the whole article with \linenumbers after \end{frontmatter}.
+%% \usepackage{lineno}
+
+%% natbib.sty is loaded by default. However, natbib options can be
+%% provided with \biboptions{...} command. Following options are
+%% valid:
+
+%%   round  -  round parentheses are used (default)
+%%   square -  square brackets are used   [option]
+%%   curly  -  curly braces are used      {option}
+%%   angle  -  angle brackets are used    <option>
+%%   semicolon  -  multiple citations separated by semi-colon
+%%   colon  - same as semicolon, an earlier confusion
+%%   comma  -  separated by comma
+%%   numbers-  selects numerical citations
+%%   super  -  numerical citations as superscripts
+%%   sort   -  sorts multiple citations according to order in ref. list
+%%   sort&compress   -  like sort, but also compresses numerical citations
+%%   compress - compresses without sorting
+%%
+%% \biboptions{comma,round}
+
+% \biboptions{}
+
+% if you have landscape tables
+\usepackage[figuresright]{rotating}
+
+% put your own definitions here:
+%   \newcommand{\cZ}{\cal{Z}}
+%   \newtheorem{def}{Definition}[section]
+%   ...
+
+% add words to TeX's hyphenation exception list
+%\hyphenation{author another created financial paper re-commend-ed Post-Script}
+
+% declarations for front matter
+
+\begin{document}
+
+\begin{frontmatter}
+
+%% Title, authors and addresses
+
+%% use the tnoteref command within \title for footnotes;
+%% use the tnotetext command for the associated footnote;
+%% use the fnref command within \author or \address for footnotes;
+%% use the fntext command for the associated footnote;
+%% use the corref command within \author for corresponding author footnotes;
+%% use the cortext command for the associated footnote;
+%% use the ead command for the email address,
+%% and the form \ead[url] for the home page:
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+%% \ead{email address}
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+%% \fntext[label3]{}
+
+\dochead{}
+%% Use \dochead if there is an article header, e.g. \dochead{Short communication}
+
+\title{}
+
+%% use optional labels to link authors explicitly to addresses:
+%% \author[label1,label2]{<author name>}
+%% \address[label1]{<address>}
+%% \address[label2]{<address>}
+
+\author{}
+
+\address{}
+
+\begin{abstract}
+%% Text of abstract
+\end{abstract}
+
+\begin{keyword}
+%% keywords here, in the form: keyword \sep keyword
+
+%% MSC codes here, in the form: \MSC code \sep code
+%% or \MSC[2008] code \sep code (2000 is the default)
+
+\end{keyword}
+
+\end{frontmatter}
+
+%%
+%% Start line numbering here if you want
+%%
+% \linenumbers
+
+%% main text
+
+
+\section{Introduction}
+\label{sec.intro}
+\textcolor{blue}{
+The need for more computing power is continually increasing. To partially
+satisfy this need, most supercomputers constructors just put more computing
+nodes in their platform. The resulting platforms may achieve higher floating
+point operations per second (FLOPS), but the energy consumption and the heat
+dissipation are also increased.  As an example, the Chinese supercomputer
+Tianhe-2 had the highest FLOPS in June 2015  according to the Top500 list
+\cite{TOP500_Supercomputers_Sites}.  However, it was also the most power hungry
+platform with its over 3 million cores consuming around 17.8 megawatts.
+Moreover, according to the U.S.  annual energy outlook 2015
+\cite{U.S_Annual.Energy.Outlook.2014}, the price of energy for 1 megawatt-hour
+was approximately equal to \$70.  Therefore, the price of the energy consumed by
+the Tianhe-2 platform is approximately more than \$10 million each year.  The
+computing platforms must be more energy efficient and offer the highest number
+of FLOPS per watt possible, such as the Shoubu-ExaScaler from RIKEN
+which became the top of the Green500 list in June 2015 \cite{Green500_List}.
+This heterogeneous platform executes more than 7 GFLOPS per watt while consuming
+50.32 kilowatts.
+}
+
+Besides platform improvements, there are many software and hardware techniques
+to lower the energy consumption of these platforms, such as scheduling, DVFS,
+\dots{} DVFS is a widely used process to reduce the energy consumption of a
+processor by lowering its frequency
+\cite{Rizvandi_Some.Observations.on.Optimal.Frequency}. However, it also reduces
+the number of FLOPS executed by the processor which may increase the execution
+time of the application running over that processor.  Therefore, researchers use
+different optimization strategies to select the frequency that gives the best
+trade-off between the energy reduction and performance degradation ratio. In
+\cite{Our_first_paper} and \cite{pdsec2015} , a frequencies selecting algorithm was proposed to reduce
+the energy consumption of message passing iterative applications running over
+homogeneous  and heterogeneous clusters respectively.  
+The results of the experiments show significant energy
+consumption reductions. In this paper, a new frequency selecting algorithm
+adapted for heterogeneous platform is presented. It selects the vector of
+frequencies, for a heterogeneous grid platform running a message passing iterative
+application, that simultaneously tries to offer the maximum energy reduction and
+minimum performance degradation ratio. The algorithm has a very small overhead,
+works online and does not need any training or profiling.
+
+\textcolor{blue}{
+This paper is organized as follows: Section~\ref{sec.relwork} presents some
+related works from other authors.  Section~\ref{sec.exe} describes how the
+execution time of message passing programs can be predicted.  It also presents
+an energy model that predicts the energy consumption of an application running
+over a heterogeneous grid. Section~\ref{sec.compet} presents the
+energy-performance objective function that maximizes the reduction of energy
+consumption while minimizing the degradation of the program's performance.
+Section~\ref{sec.optim} details the proposed frequencies selecting algorithm.
+Section~\ref{sec.expe} presents the results of applying the algorithm on the 
+NAS parallel benchmarks and executing them on a grid'5000 testbed. 
+It shows the results of running different scenarios using multi-cores and one core per node 
+and comparing them. It also shows the results of running
+three different power scenarios and comparing them. Moreover, it shows the
+comparison results between the proposed method and an existing method.  Finally,
+in Section~\ref{sec.concl} the paper ends with a summary and some future works.}
+
+\section{Related works}
+\label{sec.relwork}
+
+DVFS is a technique used in modern processors to scale down both the voltage and
+the frequency of the CPU while computing, in order to reduce the energy
+consumption of the processor. DVFS is also allowed in GPUs to achieve the same
+goal. Reducing the frequency of a processor lowers its number of FLOPS and may
+degrade the performance of the application running on that processor, especially
+if it is compute bound. Therefore selecting the appropriate frequency for a
+processor to satisfy some objectives, while taking into account all the
+constraints, is not a trivial operation.  Many researchers used different
+strategies to tackle this problem. Some of them developed online methods that
+compute the new frequency while executing the application, such
+as~\cite{Hao_Learning.based.DVFS,Spiliopoulos_Green.governors.Adaptive.DVFS}.
+Others used offline methods that may need to run the application and profile
+it before selecting the new frequency, such
+as~\cite{Rountree_Bounding.energy.consumption.in.MPI,Cochran_Pack_and_Cap_Adaptive_DVFS}.
+The methods could be heuristics, exact or brute force methods that satisfy
+varied objectives such as energy reduction or performance. They also could be
+adapted to the execution's environment and the type of the application such as
+sequential, parallel or distributed architecture, homogeneous or heterogeneous
+platform, synchronous or asynchronous application, \dots{}
+
+In this paper, we are interested in reducing energy for message passing
+iterative synchronous applications running over heterogeneous grid platforms.  Some
+works have already been done for such platforms and they can be classified into
+two types of heterogeneous platforms:
+\begin{itemize}
+\item the platform is composed of homogeneous GPUs and homogeneous CPUs.
+\item the platform is only composed of heterogeneous CPUs.
+\end{itemize}
+
+For the first type of platform, the computing intensive parallel tasks are
+executed on the GPUs and the rest are executed on the CPUs.  Luley et
+al.~\cite{Luley_Energy.efficiency.evaluation.and.benchmarking}, proposed a
+heterogeneous cluster composed of Intel Xeon CPUs and NVIDIA GPUs. Their main
+goal was to maximize the energy efficiency of the platform during computation by
+maximizing the number of FLOPS per watt generated.
+In~\cite{KaiMa_Holistic.Approach.to.Energy.Efficiency.in.GPU-CPU}, Kai Ma et
+al. developed a scheduling algorithm that distributes workloads proportional to
+the computing power of the nodes which could be a GPU or a CPU. All the tasks
+must be completed at the same time.  In~\cite{Rong_Effects.of.DVFS.on.K20.GPU},
+Rong et al. showed that a heterogeneous (GPUs and CPUs) cluster that enables
+DVFS gave better energy and performance efficiency than other clusters only
+composed of CPUs.
+
+The work presented in this paper concerns the second type of platform, with
+heterogeneous CPUs.  Many methods were conceived to reduce the energy
+consumption of this type of platform.  Naveen et
+al.~\cite{Naveen_Power.Efficient.Resource.Scaling} developed a method that
+minimizes the value of $\mathit{energy}\times \mathit{delay}^2$ (the delay is
+the sum of slack times that happen during synchronous communications) by
+dynamically assigning new frequencies to the CPUs of the heterogeneous cluster.
+Lizhe et al.~\cite{Lizhe_Energy.aware.parallel.task.scheduling} proposed an
+algorithm that divides the executed tasks into two types: the critical and non
+critical tasks. The algorithm scales down the frequency of non critical tasks
+proportionally to their slack and communication times while limiting the
+performance degradation percentage to less than \np[\%]{10}.
+In~\cite{Joshi_Blackbox.prediction.of.impact.of.DVFS}, they developed a
+heterogeneous cluster composed of two types of Intel and AMD processors. They
+use a gradient method to predict the impact of DVFS operations on performance.
+In~\cite{Shelepov_Scheduling.on.Heterogeneous.Multicore} and
+\cite{Li_Minimizing.Energy.Consumption.for.Frame.Based.Tasks}, the best
+frequencies for a specified heterogeneous cluster are selected offline using
+some heuristic.  Chen et
+al.~\cite{Chen_DVFS.under.quality.of.service.requirements} used a greedy dynamic
+programming approach to minimize the power consumption of heterogeneous servers
+while respecting given time constraints.  This approach had considerable
+overhead.  In contrast to the above described papers, this paper presents the
+following contributions :
+\begin{enumerate}
+\item two new energy and performance models for message passing iterative
+  synchronous applications running over a heterogeneous grid platform. Both models
+  take into account communication and slack times. The models can predict the
+  required energy and the execution time of the application.
+
+\item a new online frequency selecting algorithm for heterogeneous grid
+  platforms. The algorithm has a very small overhead and does not need any
+  training or profiling. It uses a new optimization function which
+  simultaneously maximizes the performance and minimizes the energy consumption
+  of a message passing iterative synchronous application.
+
+\end{enumerate}
+
+
+
+\section{The performance and energy consumption measurements on heterogeneous grid architecture}
+\label{sec.exe}
+
+\subsection{The execution time of message passing distributed iterative
+  applications on a heterogeneous platform}
+
+In this paper, we are interested in reducing the energy consumption of message
+passing distributed iterative synchronous applications running over
+heterogeneous grid platforms. A heterogeneous grid platform could be defined as a collection of
+heterogeneous computing clusters interconnected via a long distance network which has lower bandwidth 
+and higher latency than the local networks of the clusters. Each computing cluster in the grid is composed of homogeneous nodes that are connected together via high speed network. Therefore, each cluster has different characteristics such as computing power (FLOPS), energy consumption, CPU's frequency range, network bandwidth and latency.
+
+\begin{figure}[!t]
+  \centering
+  \includegraphics[scale=0.6]{fig/commtasks}
+  \caption{Parallel tasks on a heterogeneous platform}
+  \label{fig:heter}
+\end{figure}
+
+The overall execution time of a distributed iterative synchronous application 
+over a heterogeneous grid consists of the sum of the computation time and 
+the communication time for every iteration on a node. However, due to the
+heterogeneous computation power of the computing clusters, slack times may occur
+when fast nodes have to wait, during synchronous communications, for the slower
+nodes to finish their computations (see Figure~\ref{fig:heter}).  Therefore, the
+overall execution time of the program is the execution time of the slowest task 
+which has the highest computation time and no slack time.
+
+Dynamic Voltage and Frequency Scaling (DVFS) is a process, implemented in
+modern processors, that reduces the energy consumption of a CPU by scaling
+down its voltage and frequency.  Since DVFS lowers the frequency of a CPU
+and consequently its computing power, the execution time of a program running
+over that scaled down processor may increase, especially if the program is
+compute bound.  The frequency reduction process can be  expressed by the scaling
+factor S which is the ratio between  the maximum and the new frequency of a CPU
+as in (\ref{eq:s}).
+\begin{equation}
+  \label{eq:s}
+  S = \frac{\Fmax}{\Fnew}
+\end{equation}
+The execution time of a compute bound sequential program is linearly
+proportional to the frequency scaling factor $S$.  On the other hand, message
+passing distributed applications consist of two parts: computation and
+communication.  The execution time of the computation part is linearly
+proportional to the frequency scaling factor $S$ but the communication time is
+not affected by the scaling factor because the processors involved remain idle
+during the communications~\cite{Freeh_Exploring.the.Energy.Time.Tradeoff}.  The
+communication time for a task is the summation of periods of time that begin
+with an MPI call for sending or receiving a message until the message is
+synchronously sent or received.
+
+Since in a heterogeneous grid each cluster has different characteristics,
+especially different frequency gears, when applying DVFS operations on the nodes 
+of these clusters, they may get different scaling factors represented by a scaling vector:
+$(S_{11}, S_{12},\dots, S_{NM})$ where $S_{ij}$ is the scaling factor of processor $j$ in cluster $i$ . To
+be able to predict the execution time of message passing synchronous iterative
+applications running over a heterogeneous grid, for different vectors of
+scaling factors, the communication time and the computation time for all the
+tasks must be measured during the first iteration before applying any DVFS
+operation. Then the execution time for one iteration of the application with any
+vector of scaling factors can be predicted using (\ref{eq:perf}).
+\begin{equation}
+  \label{eq:perf}
+  \Tnew = \mathop{\max_{i=1,\dots N}}_{j=1,\dots,M}({\TcpOld[ij]} \cdot S_{ij}) 
+  +\mathop{\min_{j=1,\dots,M}}  (\Tcm[hj])
+\end{equation}
+
+where $N$ is the number of  clusters in the grid, $M$ is the number of  nodes in
+each cluster, $\TcpOld[ij]$ is the computation time of processor $j$ in the cluster $i$ 
+and $\Tcm[hj]$ is the communication time of processor $j$ in the cluster $h$ during the 
+first  iteration. The model computes the maximum computation time with scaling factor 
+from each node added to the communication time of the slowest node in the slowest cluster $h$.
+It means only the communication time without any slack time is taken into account.  
+Therefore, the execution time of the iterative application is equal to
+the execution time of one iteration as in (\ref{eq:perf}) multiplied by the
+number of iterations of that application.
+
+This prediction model is developed from the model to predict the execution time
+of message passing distributed applications for homogeneous and heterogeneous clusters
+~\cite{Our_first_paper,pdsec2015}.  The execution time prediction model is
+used in the method to optimize both the energy consumption and the performance
+of iterative methods, which is presented in the following sections.
+
+
+\subsection{Energy model for heterogeneous grid platform}
+
+Many researchers~\cite{Malkowski_energy.efficient.high.performance.computing,
+  Rauber_Analytical.Modeling.for.Energy,Zhuo_Energy.efficient.Dynamic.Task.Scheduling,
+  Rizvandi_Some.Observations.on.Optimal.Frequency} divide the power consumed by
+a processor into two power metrics: the static and the dynamic power.  While the
+first one is consumed as long as the computing unit is turned on, the latter is
+only consumed during computation times.  The dynamic power $\Pd$ is related to
+the switching activity $\alpha$, load capacitance $\CL$, the supply voltage $V$
+and operational frequency $F$, as shown in (\ref{eq:pd}).
+\begin{equation}
+  \label{eq:pd}
+  \Pd = \alpha \cdot \CL \cdot V^2 \cdot F
+\end{equation}
+The static power $\Ps$ captures the leakage power as follows:
+\begin{equation}
+  \label{eq:ps}
+   \Ps  = V \cdot \Ntrans \cdot \Kdesign \cdot \Ileak
+\end{equation}
+where V is the supply voltage, $\Ntrans$ is the number of transistors,
+$\Kdesign$ is a design dependent parameter and $\Ileak$ is a
+technology dependent parameter.  The energy consumed by an individual processor
+to execute a given program can be computed as:
+\begin{equation}
+  \label{eq:eind}
+  \Eind =  \Pd \cdot \Tcp + \Ps \cdot T
+\end{equation}
+where $T$ is the execution time of the program, $\Tcp$ is the computation
+time and $\Tcp \le T$.  $\Tcp$ may be equal to $T$ if there is no
+communication and no slack time.
+
+The main objective of DVFS operation is to reduce the overall energy
+consumption~\cite{Le_DVFS.Laws.of.Diminishing.Returns}.  The operational
+frequency $F$ depends linearly on the supply voltage $V$, i.e., $V = \beta \cdot
+F$ with some constant $\beta$.~This equation is used to study the change of the
+dynamic voltage with respect to various frequency values
+in~\cite{Rauber_Analytical.Modeling.for.Energy}.  The reduction process of the
+frequency can be expressed by the scaling factor $S$ which is the ratio between
+the maximum and the new frequency as in (\ref{eq:s}).  The CPU governors are
+power schemes supplied by the operating system's kernel to lower a core's
+frequency. The new frequency $\Fnew$ from (\ref{eq:s}) can be calculated as
+follows:
+\begin{equation}
+  \label{eq:fnew}
+   \Fnew = S^{-1} \cdot \Fmax
+\end{equation}
+Replacing $\Fnew$ in (\ref{eq:pd}) as in (\ref{eq:fnew}) gives the following
+equation for dynamic power consumption:
+\begin{multline}
+  \label{eq:pdnew}
+   \PdNew = \alpha \cdot \CL \cdot V^2 \cdot \Fnew = \alpha \cdot \CL \cdot \beta^2 \cdot \Fnew^3 \\
+   {} = \alpha \cdot \CL \cdot V^2 \cdot \Fmax \cdot S^{-3} = \PdOld \cdot S^{-3}
+\end{multline}
+where $\PdNew$  and $\PdOld$ are the  dynamic power consumed with the
+new frequency and the maximum frequency respectively.
+
+According to (\ref{eq:pdnew}) the dynamic power is reduced by a factor of
+$S^{-3}$ when reducing the frequency by a factor of
+$S$~\cite{Rauber_Analytical.Modeling.for.Energy}. Since the FLOPS of a CPU is
+proportional to the frequency of a CPU, the computation time is increased
+proportionally to $S$.  The new dynamic energy is the dynamic power multiplied
+by the new time of computation and is given by the following equation:
+\begin{equation}
+  \label{eq:Edyn}
+   \EdNew = \PdOld \cdot S^{-3} \cdot (\Tcp \cdot S)= S^{-2}\cdot \PdOld \cdot  \Tcp
+\end{equation}
+The static power is related to the power leakage of the CPU and is consumed
+during computation and even when idle. As
+in~\cite{Rauber_Analytical.Modeling.for.Energy,Zhuo_Energy.efficient.Dynamic.Task.Scheduling},
+the static power of a processor is considered as constant during idle and
+computation periods, and for all its available frequencies.  The static energy
+is the static power multiplied by the execution time of the program.  According
+to the execution time model in (\ref{eq:perf}), the execution time of the
+program is the sum of the computation and the communication times. The
+computation time is linearly related to the frequency scaling factor, while this
+scaling factor does not affect the communication time.  The static energy of a
+processor after scaling its frequency is computed as follows:
+\begin{equation}
+  \label{eq:Estatic}
+  \Es = \Ps \cdot (\Tcp \cdot S  + \Tcm)
+\end{equation}
+
+In the considered heterogeneous grid platform, each node $j$ in cluster $i$ may have
+different dynamic and static powers from the nodes of the other clusters, 
+noted as $\Pd[ij]$ and $\Ps[ij]$ respectively.  Therefore, even if the distributed 
+message passing iterative application is load balanced, the computation time of each CPU $j$ 
+in cluster $i$ noted $\Tcp[ij]$ may be different and different frequency scaling factors may be
+computed in order to decrease the overall energy consumption of the application
+and reduce slack times.  The communication time of a processor $j$ in cluster $i$ is noted as
+$\Tcm[ij]$ and could contain slack times when communicating with slower nodes,
+see Figure~\ref{fig:heter}.  Therefore, all nodes do not have equal
+communication times. While the dynamic energy is computed according to the
+frequency scaling factor and the dynamic power of each node as in
+(\ref{eq:Edyn}), the static energy is computed as the sum of the execution time
+of one iteration multiplied by the static power of each processor.  The overall
+energy consumption of a message passing distributed application executed over a
+heterogeneous grid platform during one iteration is the summation of all dynamic and
+static energies for $M$ processors in $N$ clusters.  It is computed as follows:
+\begin{multline}
+  \label{eq:energy}
+ E = \sum_{i=1}^{N} \sum_{i=1}^{M} {(S_{ij}^{-2} \cdot \Pd[ij] \cdot  \Tcp[ij])} +  
+ \sum_{i=1}^{N} \sum_{j=1}^{M} (\Ps[ij] \cdot {} \\
+  (\mathop{\max_{i=1,\dots N}}_{j=1,\dots,M}({\Tcp[ij]} \cdot S_{ij}) 
+  +\mathop{\min_{j=1,\dots M}} (\Tcm[hj]) ))
+\end{multline}
+
+Reducing the frequencies of the processors according to the vector of scaling
+factors $(S_{11}, S_{12},\dots, S_{NM})$ may degrade the performance of the application
+and thus, increase the static energy because the execution time is
+increased~\cite{Kim_Leakage.Current.Moore.Law}. The overall energy consumption
+for the iterative application can be measured by measuring the energy
+consumption for one iteration as in (\ref{eq:energy}) multiplied by the number
+of iterations of that application.
+
+\section{Optimization of both energy consumption and performance}
+\label{sec.compet}
+
+Using the lowest frequency for each processor does not necessarily give the most
+energy efficient execution of an application. Indeed, even though the dynamic
+power is reduced while scaling down the frequency of a processor, its
+computation power is proportionally decreased. Hence, the execution time might
+be drastically increased and during that time, dynamic and static powers are
+being consumed.  Therefore, it might cancel any gains achieved by scaling down
+the frequency of all nodes to the minimum and the overall energy consumption of
+the application might not be the optimal one.  It is not trivial to select the
+appropriate frequency scaling factor for each processor while considering the
+characteristics of each processor (computation power, range of frequencies,
+dynamic and static powers) and the task executed (computation/communication
+ratio). The aim being to reduce the overall energy consumption and to avoid
+increasing significantly the execution time.  In our previous
+work~\cite{Our_first_paper,pdsec2015}, we proposed a method that selects the optimal
+frequency scaling factor for a homogeneous and heterogeneous clusters executing a message passing
+iterative synchronous application while giving the best trade-off between the
+energy consumption and the performance for such applications.  In this work we
+are interested in heterogeneous grid as described above.  Due to the
+heterogeneity of the processors, a vector of scaling factors should be selected
+and it must give the best trade-off between energy consumption and performance.
+
+The relation between the energy consumption and the execution time for an
+application is complex and nonlinear, Thus, unlike the relation between the
+execution time and the scaling factor, the relation between the energy and the
+frequency scaling factors is nonlinear, for more details refer
+to~\cite{Freeh_Exploring.the.Energy.Time.Tradeoff}.  Moreover, these relations
+are not measured using the same metric.  To solve this problem, the execution
+time is normalized by computing the ratio between the new execution time (after
+scaling down the frequencies of some processors) and the initial one (with
+maximum frequency for all nodes) as follows:
+\begin{equation}
+  \label{eq:pnorm}
+  \Pnorm = \frac{\Tnew}{\Told}                 
+\end{equation}
+
+
+Where $Tnew$ is computed as in (\ref{eq:perf}) and $Told$ is computed as in (\ref{eq:told})
+\begin{equation}
+  \label{eq:told}
+   \Told = \mathop{\max_{i=1,2,\dots,N}}_{j=1,2,\dots,M} (\Tcp[ij]+\Tcm[ij])             
+\end{equation}
+In the same way, the energy is normalized by computing the ratio between the
+consumed energy while scaling down the frequency and the consumed energy with
+maximum frequency for all  nodes:
+\begin{equation}
+  \label{eq:enorm}
+  \Enorm = \frac{\Ereduced}{\Eoriginal} 
+\end{equation}
+
+Where $\Ereduced$  is computed using (\ref{eq:energy}) and $\Eoriginal$ is 
+computed as in (\ref{eq:eorginal}).
+
+
+\begin{equation}
+  \label{eq:eorginal}
+    \Eoriginal = \sum_{i=1}^{N} \sum_{j=1}^{M} ( \Pd[ij] \cdot  \Tcp[ij])  + 
+     \mathop{\sum_{i=1}^{N}} \sum_{j=1}^{M} (\Ps[ij] \cdot \Told)       
+\end{equation}
+
+While the main goal is to optimize the energy and execution time at the same
+time, the normalized energy and execution time curves do not evolve (increase/decrease) in the same way. 
+According to the equations~(\ref{eq:pnorm}) and (\ref{eq:enorm}), the
+vector of frequency scaling factors $S_1,S_2,\dots,S_N$ reduce both the energy
+and the execution time simultaneously.  But the main objective is to produce
+maximum energy reduction with minimum execution time reduction.
+
+This problem can be solved by making the optimization process for energy and
+execution time follow the same evolution according to the vector of scaling factors
+$(S_{11}, S_{12},\dots, S_{NM})$. Therefore, the equation of the
+normalized execution time is inverted which gives the normalized performance
+equation, as follows:
+\begin{equation}
+  \label{eq:pnorm_inv}
+  \Pnorm = \frac{\Told}{\Tnew}          
+\end{equation}
+
+\begin{figure}[!t]
+  \centering
+  \subfloat[Homogeneous cluster]{%
+    \includegraphics[width=.33\textwidth]{fig/homo}\label{fig:r1}}%
+
+  \subfloat[Heterogeneous grid]{%
+    \includegraphics[width=.33\textwidth]{fig/heter}\label{fig:r2}}
+  \label{fig:rel}
+  \caption{The energy and performance relation}
+\end{figure}
+
+Then, the objective function can be modeled in order to find the maximum
+distance between the energy curve (\ref{eq:enorm}) and the performance curve
+(\ref{eq:pnorm_inv}) over all available sets of scaling factors.  This
+represents the minimum energy consumption with minimum execution time (maximum
+performance) at the same time, see Figure~\ref{fig:r1} or
+Figure~\ref{fig:r2}. Then the objective function has the following form:
+\begin{equation}
+  \label{eq:max}
+  \MaxDist =
+\mathop{  \mathop{\max_{i=1,\dots N}}_{j=1,\dots,M}}_{k=1,\dots,F}
+      (\overbrace{\Pnorm(S_{ijk})}^{\text{Maximize}} -
+       \overbrace{\Enorm(S_{ijk})}^{\text{Minimize}} )
+\end{equation}
+where $N$ is the number of clusters, $M$ is the number of nodes in each cluster and
+$F$ is the number of available frequencies for each node.  Then, the optimal set 
+of scaling factors that satisfies (\ref{eq:max}) can be selected.  
+The objective function can work with any energy model or any power 
+values for each node (static and dynamic powers). However, the most important 
+energy reduction gain can be achieved when the energy curve has a convex form as shown 
+in~\cite{Zhuo_Energy.efficient.Dynamic.Task.Scheduling,Rauber_Analytical.Modeling.for.Energy,Hao_Learning.based.DVFS}.
+
+\section{The scaling factors selection algorithm for  grids }
+\label{sec.optim}
+
+\begin{algorithm}
+  \begin{algorithmic}[1]
+    % \footnotesize
+    \Require ~
+    \begin{description}
+    \item [{$N$}] number of clusters in the grid.
+    \item [{$M$}] number of nodes in each cluster.
+    \item[{$\Tcp[ij]$}] array of all computation times for all nodes during one iteration and with the highest frequency.
+    \item[{$\Tcm[ij]$}] array of all communication times for all nodes during one iteration and with the highest frequency.
+    \item[{$\Fmax[ij]$}] array of the maximum frequencies for all nodes.
+    \item[{$\Pd[ij]$}] array of the dynamic powers for all nodes.
+    \item[{$\Ps[ij]$}] array of the static powers for all nodes.
+    \item[{$\Fdiff[ij]$}] array of the differences between two successive frequencies for all nodes.
+    \end{description}
+    \Ensure $\Sopt[11],\Sopt[12] \dots, \Sopt[NM_i]$,  a vector of scaling factors that gives the optimal tradeoff between energy consumption and execution time
+
+    \State $\Scp[ij] \gets \frac{\max_{i=1,2,\dots,N}(\max_{j=1,2,\dots,M_i}(\Tcp[ij]))}{\Tcp[ij]} $
+    \State $F_{ij} \gets  \frac{\Fmax[ij]}{\Scp[i]},~{i=1,2,\cdots,N},~{j=1,2,\dots,M_i}.$
+    \State Round the computed initial frequencies $F_i$ to the closest  available frequency for each node.
+    \If{(not the first frequency)}
+          \State $F_{ij} \gets F_{ij}+\Fdiff[ij],~i=1,\dots,N,~{j=1,\dots,M_i}.$
+    \EndIf
+    \State $\Told \gets $ computed as in equations (\ref{eq:told}).
+    \State $\Eoriginal \gets $ computed as in equations (\ref{eq:eorginal}) .
+    \State $\Sopt[ij] \gets 1,~i=1,\dots,N,~{j=1,\dots,M_i}. $
+    \State $\Dist \gets 0 $
+    \While {(all nodes have not reached their  minimum   \newline\hspace*{2.5em} frequency \textbf{or}  $\Pnorm - \Enorm < 0 $)}
+        \If{(not the last freq. \textbf{and} not the slowest node)}
+        \State $F_{ij} \gets F_{ij} - \Fdiff[ij],~{i=1,\dots,N},~{j=1,\dots,M_i}$.
+        \State $S_{ij} \gets \frac{\Fmax[ij]}{F_{ij}},~{i=1,\dots,N},~{j=1,\dots,M_i}.$
+        \EndIf
+       \State $\Tnew \gets $ computed as  in equations (\ref{eq:perf}). 
+       \State $\Ereduced \gets $ computed as  in equations (\ref{eq:energy}). 
+       \State $\Pnorm \gets \frac{\Told}{\Tnew}$
+       \State $\Enorm\gets \frac{\Ereduced}{\Eoriginal}$
+      \If{$(\Pnorm - \Enorm > \Dist)$}
+        \State $\Sopt[ij] \gets S_{ij},~i=1,\dots,N,~j=1,\dots,M_i. $
+        \State $\Dist \gets \Pnorm - \Enorm$
+      \EndIf
+    \EndWhile
+    \State  Return $\Sopt[11],\Sopt[12],\dots,\Sopt[NM_i]$
+  \end{algorithmic}
+  \caption{Scaling factors selection algorithm}
+  \label{HSA}
+\end{algorithm}
+
+\begin{algorithm}
+  \begin{algorithmic}[1]
+    % \footnotesize
+    \For {$k=1$ to \textit{some iterations}}
+      \State Computations section.
+      \State Communications section.
+      \If {$(k=1)$}
+        \State Gather all times of computation and\newline\hspace*{3em}%
+               communication from each node.
+        \State Call Algorithm \ref{HSA}.
+        \State Compute the new frequencies from the\newline\hspace*{3em}%
+               returned optimal scaling factors.
+        \State Set the new frequencies to nodes.
+      \EndIf
+    \EndFor
+  \end{algorithmic}
+  \caption{DVFS algorithm}
+  \label{dvfs}
+\end{algorithm}
+
+
+In this section, the scaling factors selection algorithm for  grids, algorithm~\ref{HSA}, is presented. It selects the vector of the frequency
+scaling factors  that gives the best trade-off between minimizing the
+energy consumption and maximizing the performance of a message passing
+synchronous iterative application executed on a  grid. It works
+online during the execution time of the iterative message passing program.  It
+uses information gathered during the first iteration such as the computation
+time and the communication time in one iteration for each node. The algorithm is
+executed after the first iteration and returns a vector of optimal frequency
+scaling factors that satisfies the objective function (\ref{eq:max}). The
+program applies DVFS operations to change the frequencies of the CPUs according
+to the computed scaling factors.  This algorithm is called just once during the
+execution of the program. Algorithm~\ref{dvfs} shows where and when the proposed
+scaling algorithm is called in the iterative MPI program.
+
+\begin{figure}[!t]
+  \centering
+  \includegraphics[scale=0.45]{fig/init_freq}
+  \caption{Selecting the initial frequencies}
+  \label{fig:st_freq}
+\end{figure}
+
+Nodes from distinct clusters in a grid have different computing powers, thus
+while executing message passing iterative synchronous applications, fast nodes
+have to wait for the slower ones to finish their computations before being able
+to synchronously communicate with them as in Figure~\ref{fig:heter}.  These
+periods are called idle or slack times.  The algorithm takes into account this
+problem and tries to reduce these slack times when selecting the vector of the frequency
+scaling factors. At first, it selects initial frequency scaling factors
+that increase the execution times of fast nodes and minimize the differences
+between the computation times of fast and slow nodes. The value of the initial
+frequency scaling factor for each node is inversely proportional to its
+computation time that was gathered from the first iteration. These initial
+frequency scaling factors are computed as a ratio between the computation time
+of the slowest node and the computation time of the node $i$ as follows:
+\begin{equation}
+  \label{eq:Scp}
+  \Scp[ij] =  \frac{ \mathop{\max_{i=1,\dots N}}_{j=1,\dots,M}(\Tcp[ij])} {\Tcp[ij]}
+\end{equation}
+Using the initial frequency scaling factors computed in (\ref{eq:Scp}), the
+algorithm computes the initial frequencies for all nodes as a ratio between the
+maximum frequency of node $i$ and the computation scaling factor $\Scp[i]$ as
+follows:
+\begin{equation}
+  \label{eq:Fint}
+  F_{ij} = \frac{\Fmax[ij]}{\Scp[ij]},~{i=1,2,\dots,N},~{j=1,\dots,M}
+\end{equation}
+If the computed initial frequency for a node is not available in the gears of
+that node, it is replaced by the nearest available frequency.  In
+Figure~\ref{fig:st_freq}, the nodes are sorted by their computing powers in
+ascending order and the frequencies of the faster nodes are scaled down
+according to the computed initial frequency scaling factors.  The resulting new
+frequencies are highlighted in Figure~\ref{fig:st_freq}.  This set of
+frequencies can be considered as a higher bound for the search space of the
+optimal vector of frequencies because selecting higher frequencies
+than the higher bound will not improve the performance of the application and it
+will increase its overall energy consumption.  Therefore the algorithm that
+selects the frequency scaling factors starts the search method from these
+initial frequencies and takes a downward search direction toward lower
+frequencies until reaching the nodes' minimum frequencies or lower bounds. A node's frequency is considered its lower bound if the computed distance between the energy and performance at this frequency is less than zero.
+A negative distance means that the performance degradation ratio is higher than the energy saving ratio.
+In this situation, the algorithm must stop the downward search because it has reached the lower bound and it is useless to test the lower frequencies. Indeed, they will all give worse distances. 
+
+Therefore, the algorithm iterates on all remaining frequencies, from the higher
+bound until all nodes reach their minimum frequencies or their lower bounds, to compute the overall
+energy consumption and performance and selects the optimal vector of the frequency scaling
+factors. At each iteration the algorithm determines the slowest node
+according to the equation (\ref{eq:perf}) and keeps its frequency unchanged,
+while it lowers the frequency of all other nodes by one gear.  The new overall
+energy consumption and execution time are computed according to the new scaling
+factors.  The optimal set of frequency scaling factors is the set that gives the
+highest distance according to the objective function (\ref{eq:max}).
+
+Figures~\ref{fig:r1} and \ref{fig:r2} illustrate the normalized performance and
+consumed energy for an application running on a homogeneous cluster and a
+ grid platform respectively while increasing the scaling factors. It can
+be noticed that in a homogeneous cluster the search for the optimal scaling
+factor should start from the maximum frequency because the performance and the
+consumed energy decrease from the beginning of the plot. On the other hand, in
+the  grid platform the performance is maintained at the beginning of the
+plot even if the frequencies of the faster nodes decrease until the computing
+power of scaled down nodes are lower than the slowest node. In other words,
+until they reach the higher bound. It can also be noticed that the higher the
+difference between the faster nodes and the slower nodes is, the bigger the
+maximum distance between the energy curve and the performance curve is, which results in bigger energy savings. 
+
+
+\section{Experimental results}
+\label{sec.expe}
+While in~\cite{pdsec2015} the energy  model and the scaling factors selection algorithm were applied to a heterogeneous cluster and  evaluated over the SimGrid simulator~\cite{SimGrid}, 
+in this paper real experiments were conducted over the grid'5000 platform. 
+
+\subsection{Grid'5000 architature and power consumption}
+\label{sec.grid5000}
+Grid'5000~\cite{grid5000} is a large-scale testbed that consists of ten sites distributed over all metropolitan France and Luxembourg. All the sites are connected together via 	a special long distance network called RENATER,
+which is the French National Telecommunication Network for Technology.
+Each site of the grid is composed of few heterogeneous 
+computing clusters and each cluster contains many homogeneous nodes. In total,
+grid'5000 has about  one thousand heterogeneous nodes and eight thousand cores.  In each site,
+the clusters and their nodes are connected via  high speed local area networks. 
+Two types of local networks are used, Ethernet or Infiniband networks which have  different characteristics in terms of bandwidth and latency.  
+
+Since grid'5000 is dedicated for testing, contrary to production grids it allows a user to deploy its own customized operating system on all the booked nodes. The user could have root rights and thus apply DVFS operations while executing a distributed application. Moreover, the grid'5000 testbed provides at some sites a power measurement tool to capture 
+the power consumption  for each node in those sites. The measured power is the overall consumed power by by all the components of a node at a given instant, such as CPU, hard drive, main-board, memory, ...  For more details refer to
+\cite{Energy_measurement}. To just measure the CPU power of one core in a node $j$, 
+ firstly,  the power consumed by the node while being idle at instant $y$, noted as $\Pidle[jy]$, was measured. Then, the power was measured while running a single thread benchmark with no communication (no idle time) over the same node with its CPU scaled to the maximum available frequency. The latter power measured at time $x$ with maximum frequency for one core of node $j$ is noted $\Pmax[jx]$. The difference between the two measured power consumption represents the 
+dynamic power consumption of that core with the maximum frequency, see  figure(\ref{fig:power_cons}). 
+
+
+The dynamic power $\Pd[j]$ is computed as in equation (\ref{eq:pdyn})
+\begin{equation}
+  \label{eq:pdyn}
+    \Pd[j] = \max_{x=\beta_1,\dots \beta_2} (\Pmax[jx])  -  \min_{y=\Theta_1,\dots \Theta_2} (\Pidle[jy])
+\end{equation}
+
+where $\Pd[j]$ is the dynamic power consumption for one core of node $j$, 
+$\lbrace \beta_1,\beta_2 \rbrace$ is the time interval for the measured maximum power values, 
+$\lbrace\Theta_1,\Theta_2\rbrace$ is the time interval for the measured  idle power values.
+Therefore, the dynamic power of one core is computed as the difference between the maximum 
+measured value in maximum powers vector and the minimum measured value in the idle powers vector.
+
+On the other hand, the static power consumption by one core is a part of the measured idle power consumption of the node. Since in grid'5000 there is no way to measure precisely the consumed static power and in~\cite{Our_first_paper,pdsec2015,Rauber_Analytical.Modeling.for.Energy} it was assumed that  the static power  represents a ratio of the dynamic power, the value of the static power is assumed as  20\% of dynamic power consumption of the core.
+
+In the experiments presented in the following sections, two sites of grid'5000 were used, Lyon and Nancy sites. These two sites have in total seven different clusters as in figure (\ref{fig:grid5000}).
+
+Four clusters from the two sites were selected in the experiments: one cluster from 
+Lyon's site, Taurus cluster, and three clusters from Nancy's site, Graphene, 
+Griffon and Graphite. Each one of these clusters has homogeneous nodes inside, while nodes from different clusters are heterogeneous in many aspects such as: computing power, power consumption, available 
+frequency ranges and local network features: the bandwidth and the latency.  Table \ref{table:grid5000} shows 
+the details characteristics of these four clusters. Moreover, the dynamic powers were computed  using the equation (\ref{eq:pdyn}) for all the nodes in the 
+selected clusters and are presented in table  \ref{table:grid5000}.
+
+
+\begin{figure}[!t]
+  \centering
+  \includegraphics[scale=1]{fig/grid5000}
+  \caption{The selected two sites of grid'5000}
+  \label{fig:grid5000}
+\end{figure}
+
+The energy model and the scaling factors selection algorithm were applied to the NAS parallel benchmarks v3.3 \cite{NAS.Parallel.Benchmarks} and evaluated over grid'5000.
+The benchmark suite contains seven applications: CG, MG, EP, LU, BT, SP and FT. These applications have different computations and communications ratios and strategies which make them good testbed applications to evaluate the proposed algorithm and energy model.
+The benchmarks have seven different classes, S, W, A, B, C, D and E, that represent the size of the problem that the method solves. In this work, the class D was used for all benchmarks in all the experiments presented in the next sections. 
+
+
+
+
+\begin{figure}[!t]
+  \centering
+  \includegraphics[scale=0.6]{fig/power_consumption.pdf}
+  \caption{The power consumption by one core from Taurus cluster}
+  \label{fig:power_cons}
+\end{figure}
+
+
+
+  
+\begin{table}[!t]
+  \caption{CPUs characteristics of the selected clusters}
+  % title of Table
+  \centering
+  \begin{tabular}{|*{7}{c|}}
+    \hline
+    Cluster     & CPU         & Max   & Min   & Diff. & no. of cores    & dynamic power   \\
+    Name        & model       & Freq. & Freq. & Freq. & per CPU         & of one core     \\
+                &             & GHz   & GHz   & GHz   &                 &           \\
+    \hline
+    Taurus      & Intel       & 2.3  & 1.2  & 0.1     & 6               & \np[W]{35} \\
+                & Xeon        &       &       &       &                 &            \\
+                & E5-2630     &       &       &       &                 &            \\         
+    \hline
+    Graphene    & Intel       & 2.53  & 1.2   & 0.133 & 4               & \np[W]{23} \\
+                & Xeon        &       &       &       &                 &            \\
+                & X3440       &       &       &       &                 &            \\    
+    \hline
+    Griffon     & Intel       & 2.5   & 2     & 0.5   & 4               & \np[W]{46} \\
+                & Xeon        &       &       &       &                 &            \\
+                & L5420       &       &       &       &                 &            \\  
+    \hline
+    Graphite    & Intel       & 2     & 1.2   & 0.1   & 8               & \np[W]{35} \\
+                & Xeon        &       &       &       &                 &            \\
+                & E5-2650     &       &       &       &                 &            \\  
+    \hline
+  \end{tabular}
+  \label{table:grid5000}
+\end{table} 
+
+
+
+\subsection{The experimental results of the scaling algorithm}
+\label{sec.res}
+In this section, the results of the application of the scaling factors selection algorithm \ref{HSA} 
+to the NAS parallel benchmarks are presented. 
+
+As mentioned previously, the experiments 
+were conducted over two sites of grid'5000,  Lyon and Nancy sites. 
+Two scenarios were considered while selecting the clusters from these two sites :
+\begin{itemize}
+\item In the first scenario, nodes from two sites and three heterogeneous clusters were selected. The two sites are connected 
+ via a long distance network.
+\item In the second scenario nodes from three clusters that are located in one site, Nancy site.  
+\end{itemize}
+
+The main reason 
+behind using these two scenarios is to evaluate the influence of long distance communications (higher latency) on the performance of the 
+scaling factors selection algorithm. Indeed, in the first scenario the computations to communications ratio 
+is very low due to the higher communication times which reduces the effect of DVFS operations.
+
+The NAS parallel benchmarks are executed over 
+16 and 32 nodes for each scenario. The number of participating computing nodes form each cluster 
+are different because all the selected clusters do not have the same available number of nodes and all benchmarks do not require the same number of computing nodes.
+Table \ref{tab:sc} shows the number of nodes used from each cluster for each scenario. 
+
+\begin{table}[h]
+
+\caption{The different clusters scenarios}
+\centering
+\begin{tabular}{|*{4}{c|}}
+\hline
+\multirow{2}{*}{Scenario name}        & \multicolumn{3}{c|} {The participating clusters} \\ \cline{2-4} 
+                                      & Cluster & Site           & No. of  nodes     \\ 
+\hline
+\multirow{3}{*}{Two sites / 16 nodes} & Taurus & Lyon                & 5                      \\ \cline{2-4} 
+                                      & Graphene  & Nancy             & 5                      \\ \cline{2-4} 
+                                      & Griffon       & Nancy        & 6                      \\ 
+\hline
+\multirow{3}{*}{Tow sites / 32 nodes} & Taurus  & Lyon               & 10                     \\ \cline{2-4} 
+                                      & Graphene  & Nancy             & 10                     \\ \cline{2-4} 
+                                      & Griffon     &Nancy           & 12                     \\ 
+\hline
+\multirow{3}{*}{One site / 16 nodes}  & Graphite    & Nancy            & 4                      \\ \cline{2-4} 
+                                      & Graphene     & Nancy           & 6                      \\ \cline{2-4} 
+                                      & Griffon         & Nancy        & 6                      \\ 
+\hline
+\multirow{3}{*}{One site / 32 nodes}  & Graphite   & Nancy             & 4                      \\ \cline{2-4} 
+                                      & Graphene      & Nancy          & 12                     \\ \cline{2-4} 
+                                      & Griffon          & Nancy       & 12                       \\ 
+\hline
+\end{tabular}
+ \label{tab:sc}
+\end{table}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/eng_con_scenarios.eps}
+  \caption{The energy consumptions of NAS benchmarks over different scenarios }
+  \label{fig:eng_sen}
+\end{figure}
+
+
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/time_scenarios.eps}
+  \caption{The execution times of NAS benchmarks over different scenarios }
+  \label{fig:time_sen}
+\end{figure}
+
+The NAS parallel benchmarks are executed over these two platforms
+ with different number of nodes, as in Table \ref{tab:sc}. 
+The overall energy consumption of all the benchmarks solving the class D instance and
+using the proposed frequency selection algorithm is measured 
+using the equation of the reduced energy consumption, equation 
+(\ref{eq:energy}). This model uses the measured dynamic and static 
+power values  showed in Table \ref{table:grid5000}. The execution
+time is measured for all the benchmarks over these different scenarios.  
+
+The energy consumptions  and the execution times for all the benchmarks are 
+presented in the plots \ref{fig:eng_sen} and \ref{fig:time_sen} respectively. 
+
+For the majority of the benchmarks, the energy consumed while executing  the NAS benchmarks over one site scenario 
+for  16 and 32 nodes is lower than the energy consumed while using two sites. 
+The long distance communications between the two distributed sites increase the idle time, which leads to more static energy consumption. 
+
+The execution times of these benchmarks 
+over one site with 16 and 32 nodes are also lower when  compared to those of the  two sites 
+scenario. Moreover, most of the benchmarks running over the one site scenario their execution times  are approximately divided by two  when the number of computing nodes is doubled from 16 to 32 nodes (linear speed up according to the number of the nodes).  
+
+However, the  execution times and the energy consumptions of EP and MG benchmarks, which have no or small communications, are not significantly affected 
+ in both scenarios. Even when the number of nodes is doubled. On the other hand, the communications of the rest of the benchmarks increases when using long distance communications between two sites or increasing the number of computing nodes.
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/eng_s.eps}
+  \caption{The energy saving of NAS benchmarks over different scenarios }
+  \label{fig:eng_s}
+\end{figure}
+
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/per_d.eps}
+  \caption{The performance degradation of NAS benchmarks over different scenarios }
+  \label{fig:per_d}
+\end{figure}
+
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/dist.eps}
+  \caption{The tradeoff distance of NAS benchmarks over different scenarios }
+  \label{fig:dist}
+\end{figure}
+
+The energy saving percentage is computed as the ratio between the reduced 
+energy consumption, equation (\ref{eq:energy}), and the original energy consumption,
+equation (\ref{eq:eorginal}), for all benchmarks as in figure \ref{fig:eng_s}. 
+This figure shows that the energy saving percentages of one site scenario for
+16 and 32 nodes are bigger than those of the two sites scenario which is due
+to the higher  computations to communications ratio in the first scenario   
+than in the second one. Moreover, the frequency selecting algorithm selects smaller frequencies when the computations times are bigger than the communication times which 
+results in  a lower energy consumption. Indeed, the dynamic  consumed power
+is exponentially related to the CPU's frequency value. On the other side, the increase in the number of computing nodes can 
+increase the communication times and thus produces less energy saving depending on the 
+benchmarks being executed. The results of the benchmarks CG, MG, BT and FT show more 
+energy saving percentage in one site scenario when executed over 16 nodes comparing to 32 nodes. While, LU and SP consume more energy with 16 nodes than 32 in one site  because their computations to communications ratio is not affected by the increase of the number of local communications. 
+
+
+The energy saving percentage is reduced for all the benchmarks because of the long distance communications in the two sites 
+scenario, except for the   EP benchmark which has  no communications. Therefore, the energy saving percentage of this benchmark is 
+dependent on the maximum difference between the computing powers of the heterogeneous computing nodes, for example 
+in the one site scenario, the graphite cluster is selected but in the two sits scenario 
+this cluster is replaced with Taurus cluster which is more powerful. 
+Therefore, the energy saving of EP benchmarks are bigger in the two sites scenario due 
+to the higher maximum difference between the computing powers of the nodes. 
+
+In fact, high differences between the nodes' computing powers make the proposed frequencies selecting  
+algorithm  select smaller frequencies for the powerful nodes which 
+produces less energy consumption and thus more energy saving.
+The best energy saving percentage was obtained in the one site scenario with 16 nodes, the energy consumption was on average reduced up to 30\%.
+
+
+Figure \ref{fig:per_d} presents the performance degradation percentages for all benchmarks over the two scenarios.
+The performance degradation percentage for the benchmarks running on two sites  with
+16 or 32  nodes is on average equal to 8\% or 4\% respectively. 
+For this scenario, the proposed scaling algorithm selects smaller frequencies for the executions with 32 nodes  without significantly degrading their performance because the communication times are higher with 32 nodes which results in smaller  computations to communications ratio.  On the other hand, the performance degradation percentage  for the benchmarks running  on one site  with
+16 or 32  nodes is on average equal to 3\% or 10\% respectively. In opposition to the two sites scenario, when the number of computing nodes is increased in the one site scenario, the performance degradation percentage is increased. Therefore, doubling the number of computing 
+nodes when the communications occur in high speed network does not decrease the computations to 
+communication ratio. 
+
+The performance degradation percentage of the EP benchmark after applying the scaling factors selection algorithm is the highest in comparison to 
+the other benchmarks. Indeed, in the EP benchmark, there are no communication and slack times and its 
+performance degradation percentage only depends on the frequencies values selected by the algorithm for the computing nodes.
+The rest of the benchmarks showed different performance degradation percentages, which decrease
+when the communication times increase and vice versa.
+
+Figure \ref{fig:dist} presents the  distance percentage between the energy saving  and the performance degradation for each benchmark  over both  scenarios. The tradeoff distance percentage can be 
+computed as in equation \ref{eq:max}. The one site scenario with 16 nodes gives the best energy and performance 
+tradeoff, on average it is equal to  26\%. The one site scenario using both 16 and 32 nodes had better energy and performance 
+tradeoff comparing to the two sites scenario  because the former has high speed local communications 
+which increase the computations to communications ratio  and the latter uses long distance communications which decrease this ratio. 
+
+
+ Finally, the best energy and performance tradeoff depends on all of the following:
+1) the computations to communications ratio when there are  communications and slack times, 2) the heterogeneity of the computing powers of the nodes and 3) the heterogeneity of the consumed  static and dynamic powers of the nodes.
+
+
+
+
+\subsection{The experimental results of multi-cores clusters}
+\label{sec.res-mc}
+The  clusters of grid'5000 have different number of cores embedded in their nodes
+as shown in Table \ref{table:grid5000}. The cores of each node can exchange 
+data via the shared memory \cite{rauber_book}. In 
+this section, the proposed scaling algorithm is evaluated over the grid'5000 grid while using multi-core nodes 
+selected according to the two  platform scenarios described in the section \ref{sec.res}.
+The two platform scenarios, the two sites and one site scenarios, use  32 
+cores from multi-cores nodes instead of 32 distinct nodes. For example if 
+the participating number of cores from a certain cluster is equal to 12, 
+in the multi-core scenario the selected nodes is equal to 3 nodes while using 
+4 cores from each node. The platforms with one  
+core per node and  multi-cores nodes are  shown in Table \ref{table:sen-mc}. 
+The energy consumptions and execution times of running the NAS parallel 
+benchmarks, class D, over these four different scenarios are presented 
+in the figures \ref{fig:eng-cons-mc} and \ref{fig:time-mc} respectively.
+
+The execution times for most of  the NAS  benchmarks are higher over the one site multi-cores per node scenario 
+ than the execution time of those running over one site single core per node  scenario. Indeed,  
+   the communication times  are higher in the one site multi-cores scenario than in the latter scenario because all the cores of a node  share  the same node network link which can be  saturated when running communication bound applications. 
+   
+ \textcolor{blue}{On the other hand,  the execution times for most of the NAS benchmarks  are lower over 
+the two sites  multi-cores scenario than those over the two sites one core scenario.   ???????
+}
+
+The experiments showed that for most of the NAS benchmarks and between the four scenarios,  
+the one site one core scenario gives the best execution times because the communication times are the lowest. 
+Indeed, in this scenario each core has a dedicated network link and all the communications are local.  
+Moreover, the energy consumptions of the NAS benchmarks are lower over the 
+one site one core scenario  than over the one site multi-cores scenario because 
+the first scenario had less execution time than the latter which results in less static energy being consumed.
+
+The computations to communications ratios of the NAS benchmarks are higher over 
+the one site one core scenario  when compared to the ratios of the other scenarios. 
+More energy reduction was achieved when this ratio is increased because the proposed scaling algorithm selects smaller frequencies that decrease the dynamic power consumption. 
+
+  \textcolor{blue}{ Whereas, the energy consumption in the two sites one core scenario is higher than the energy consumption of the two sites multi-core scenario. This is according to the increase in the execution time of the two sites one core scenario. }
+
+
+These experiments also showed that the energy 
+consumption and the execution times of the EP and MG benchmarks do not change significantly over these four 
+scenarios  because there are no or small communications,  
+which could increase or decrease the static power consumptions. Contrary to EP and MG, the  energy consumptions 
+and the execution times of the rest of the  benchmarks  vary according to the  communication times that are different from one scenario to the other.
+
+
+The energy saving percentages of all NAS benchmarks running over these four scenarios are presented in the figure \ref{fig:eng-s-mc}. It shows that  the energy saving percentages   over the two sites multi-cores scenario 
+and over the two sites one core scenario are on average  equal to 22\% and 18\%
+respectively. The energy saving percentages   are higher in the former scenario because  its computations to communications  ratio is higher than the ratio of the latter scenario  as mentioned previously.
+
+In contrast, in the one site one 
+core and one site multi-cores scenarios the energy saving percentages 
+are approximately equivalent, on average they are up to 25\%. In both scenarios there 
+are a small difference  in the computations to communications ratios, which leads 
+the proposed scaling algorithm to select similar frequencies for both scenarios.  
+
+The performance degradation percentages of the NAS benchmarks are presented in
+figure \ref{fig:per-d-mc}. It shows that the performance degradation percentages for the NAS benchmarks are higher over the two sites 
+multi-cores scenario than over the  two sites  one core scenario, equal on average to 7\% and 4\% respectively. 
+Moreover, using the two sites multi-cores scenario increased 
+the computations to communications ratio, which may increase 
+the overall execution time  when the proposed scaling algorithm is applied and the frequencies scaled down.  
+
+
+When the benchmarks are executed  over the one 
+site one core scenario, their performance degradation percentages are equal  on average
+to 10\% and are higher than those executed over the one site multi-cores scenario, 
+which on average is equal to 7\%. 
+
+\textcolor{blue}{
+The performance degradation percentages over one site multi-cores is lower because  the computations to communications ratio is decreased. Therefore, selecting small 
+frequencies by the scaling algorithm are proportional to this ratio, and thus the execution time do not increase significantly.}
+
+
+The tradeoff distance percentages of the NAS 
+benchmarks over all scenarios are presented in the figure \ref{fig:dist-mc}.
+These  tradeoff distance percentages are used to verify which scenario is the best in terms of energy reduction and performance. The figure shows that using muti-cores in both of the one site and two sites scenarios gives bigger  tradeoff distance percentages, on overage equal to 17.6\% and 15.3\% respectively, than using one core per node in both of one site and two sites scenarios,  on average  equal to 14.7\% and 13.3\% respectively. 
+
+\begin{table}[]
+\centering
+\caption{The multicores scenarios}
+
+\begin{tabular}{|*{4}{c|}}
+\hline
+Scenario name                          & Cluster name & \begin{tabular}[c]{@{}c@{}}No. of  nodes\\ in each cluster\end{tabular} & 
+                                       \begin{tabular}[c]{@{}c@{}}No. of  cores\\ for each node\end{tabular}  \\ \hline
+\multirow{3}{*}{Two sites/ one core}   & Taurus       & 10              & 1                   \\ \cline{2-4}
+                                       & Graphene     & 10              & 1                   \\ \cline{2-4}
+                                       & Griffon      & 12              & 1                   \\ \hline
+\multirow{3}{*}{Two sites/ multicores} & Taurus       & 3               & 3 or 4              \\ \cline{2-4}
+                                       & Graphene     & 3               & 3 or 4              \\  \cline{2-4}
+                                       & Griffon      & 3               & 4                   \\ \hline
+\multirow{3}{*}{One site/ one core}    & Graphite     & 4               & 1                   \\  \cline{2-4}
+                                       & Graphene     & 12              & 1                   \\  \cline{2-4}
+                                       & Griffon      & 12              & 1                   \\ \hline
+\multirow{3}{*}{One site/ multicores}  & Graphite     & 3               & 3 or 4              \\  \cline{2-4}
+                                       & Graphene     & 3               & 3 or 4              \\  \cline{2-4}
+                                       & Griffon      & 3               & 4                   \\ \hline
+\end{tabular}
+\label{table:sen-mc}
+\end{table}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/eng_con.eps}
+  \caption{Comparing the  energy consumptions of running NAS benchmarks over one core and multicores scenarios }
+  \label{fig:eng-cons-mc}
+\end{figure}
+
+
+  \begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/time.eps}
+  \caption{Comparing the  execution times of running NAS benchmarks over one core and multicores scenarios }
+  \label{fig:time-mc}
+\end{figure}
+
+ \begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/eng_s_mc.eps}
+  \caption{The energy saving of running NAS benchmarks over one core and multicores scenarios }
+  \label{fig:eng-s-mc}
+\end{figure}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/per_d_mc.eps}
+  \caption{The performance degradation of running NAS benchmarks over one core and multicores scenarios }
+  \label{fig:per-d-mc}
+\end{figure}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/dist_mc.eps}
+  \caption{The tradeoff distance of running NAS benchmarks over one core and multicores scenarios }
+  \label{fig:dist-mc}
+\end{figure}
+
+\subsection{Experiments with different static and dynamic powers consumption scenarios}
+\label{sec.pow_sen}
+
+In section \ref{sec.grid5000}, since it was not possible to measure the static power consumed by a CPU,   the static power was assumed to be equal to 20\% of the measured dynamic power. This power is consumed during the whole execution time, during computation and communication times. Therefore, when the DVFS operations are applied by the scaling algorithm and the CPUs' frequencies lowered, the execution time might increase and consequently the consumed static energy will be increased too. 
+
+The aim of  this section is to evaluate the scaling algorithm while assuming different values of static powers. 
+In addition to the previously used  percentage of static power, two new static power ratios,  10\% and 30\% of the measured dynamic power of the core, are used in this section.
+The experiments have been executed with these two new static power scenarios and over the one site one core per node scenario.
+In these experiments, the class D of the NAS parallel benchmarks are executed over Nancy's site. 16 computing nodes from the three sites, Graphite, Graphene and Griffon, where used in this experiment.  
+
+ \begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/eng_pow.eps}
+  \caption{The energy saving percentages for NAS benchmarks of the three power scenario}
+  \label{fig:eng-pow}
+\end{figure}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/per_pow.eps}
+  \caption{The performance degradation percentages for NAS benchmarks of the three power scenario}
+  \label{fig:per-pow}
+\end{figure}
+
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/dist_pow.eps}
+  \caption{The tradeoff distance for NAS benchmarks of the three power scenario}
+  \label{fig:dist-pow}
+\end{figure}
+
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.47]{fig/three_scenarios.pdf}
+  \caption{Comparing the selected frequency scaling factors of MG benchmark for three static power scenarios}
+  \label{fig:fre-pow}
+\end{figure}
+
+
+The energy saving percentages of the NAS benchmarks with the three static power scenarios are presented 
+in figure \ref{fig:eng_sen}. This figure shows that the  10\% of static power scenario 
+gives the biggest energy saving percentage in comparison to the 20\% and 30\% static power 
+scenarios. The small value of static power consumption makes the proposed 
+scaling algorithm  select smaller frequencies for the CPUs. 
+These smaller frequencies reduce the dynamic energy consumption more than increasing the consumed static energy which gives 		less overall energy consumption. 
+The energy saving percentages of the 30\% static power scenario is the smallest between the other scenarios, because the scaling algorithm selects bigger frequencies for the CPUs which increases the energy consumption. Figure \ref{fig:fre-pow} demonstrates that the proposed scaling algorithm selects   the best frequency scaling factors   according to the static power consumption ratio being used.
+
+\textcolor{blue}{ 
+The performance degradation percentages are presented in the figure \ref{fig:per-pow},
+the 30\% of static power scenario had less performance degradation percentage. This  because
+bigger frequencies are selected for the CPUs by the scaling algorithm. While, 
+the inverse happens in the 20\% and 30\% scenarios, because the scaling algorithm selects  bigger 
+frequencies. 
+The tradeoff distance percentage for the NAS benchmarks with these three static power scenarios 
+are presented in the figure \ref{fig:dist}. It shows that the tradeoff
+distance percentage is the best when the  10\% of static power scenario is used, and this percentage 
+is decreased for the other two scenarios because of  different frequencies have being selected by the scaling algorithm.
+In EP benchmark, the results of energy saving, performance degradation and tradeoff 
+distance are showed small differences when the these static power scenarios are used.
+In this benchmark there are no communications which leads  the proposed scaling algorithm to select similar frequencies even if the static power values are different. While, the 
+inverse has been shown  for the rest of the benchmarks, which have  different communication times.
+This makes the scaling algorithm proportionally selects big or small frequencies for each benchmark,
+because the communication times  proportionally increase or decrease the static energy consumption. }
+
+ 
+\subsection{The comparison of the proposed frequencies selecting algorithm }
+\label{sec.compare_EDP}
+\textcolor{blue}{
+The tradeoff between the energy consumption and the performance of the parallel 
+applications had significant importance in the domain of the research. 
+Many researchers, \cite{EDP_for_multi_processors,Energy_aware_application_scheduling,Exploring_Energy_Performance_TradeOffs},
+have optimized the tradeoff between the energy and the performance using the well known  energy and delay product, $EDP=energy \times delay$. 
+This model is also used by Spiliopoulos et al. algorithm \cite{Spiliopoulos_Green.governors.Adaptive.DVFS},
+the  objective is to select the frequencies that minimized EDP product for the multi-cores 
+architecture when DVFS is used. Moreover, their algorithm is applied online, which synchronously optimized the energy consumption 
+and the execution time. Both energy consumption and execution time of a processor are predicted by the their algorithm.
+In this section the proposed frequencies selection algorithm, called Maxdist is compared with Spiliopoulos et al. algorithm, called EDP.
+To make both of the algorithms follow the same direction and  fairly  comparing them, the same energy model,  equation \ref{eq:energy} and
+the execution time model, equation \ref{eq:perf}, are used in the prediction process to select the best vector of the frequencies. 
+In contrast, the proposed algorithm starts the search space from the lower bound computed as in equation the  \ref{eq:Fint}. Also, the algorithm
+stops  the search process when it is reached to the lower bound as mentioned before. In the same way, the EDP algorithm is developed to start from the 
+same upper bound used in Maxdist algorithm, and it stops the search process when  a minimum available frequencies is reached. 
+Finally, the resulting EDP algorithm is an exhaustive search algorithm that test all possible frequencies, starting from the initial frequencies, 
+and selecting those minimized the EDP product.
+Both algorithms were applied to NAS benchmarks, class D, over 16 nodes selected from grid'5000 clusters.
+The participating computing nodes are distributed between two sites and one site to have two different scenarios that used in the section \ref{sec.res}. 
+The experimental results: the energy saving, performance degradation and tradeoff distance percentages are 
+presented in the figures \ref{fig:edp-eng}, \ref{fig:edp-perf} and \ref{fig:edp-dist} respectively. 
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/edp_eng}
+  \caption{Comparing of the energy saving for the proposed method with EDP method}
+  \label{fig:edp-eng}
+\end{figure}
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/edp_per}
+  \caption{Comparing of the performance degradation for the proposed method with EDP method}
+  \label{fig:edp-perf}
+\end{figure}
+\begin{figure}
+  \centering
+  \includegraphics[scale=0.5]{fig/edp_dist}
+  \caption{Comparing of the tradeoff distance for the proposed method with EDP method}
+  \label{fig:edp-dist}
+\end{figure}
+As shown form these figures, the proposed frequencies selection algorithm, Maxdist, outperform the EDP algorithm in term of energy and performance for all of the benchmarks executed over the two scenarios. 
+Generally, the proposed algorithm gives better results for all benchmarks because it is
+optimized the distance between the energy saving and the performance degradation in the same time. 
+Moreover, the proposed scaling algorithm gives the same weight for these two metrics.
+Whereas, the EDP algorithm gives some times negative tradeoff values for some benchmarks in the two sites scenarios.
+These negative tradeoff values mean that the performance degradation percentage is higher than energy saving percentage.
+The higher positive value of the tradeoff distance percentage mean that the  energy saving percentage is much higher than the performance degradation percentage. 
+The time complexity of both Maxdist and EDP algorithms are $O(N \cdot M \cdot F)$ and 
+$O(N \cdot M \cdot F^2)$ respectively. Where $N$ is the number of the clusters, $M$ is the number of nodes and $F$ is the 
+maximum number of available frequencies. The proposed algorithm, Maxdist, has selected the best frequencies in a small execution time, 
+on average is equal to  0.01 $ms$, when it is executed over 32 nodes distributed between Nancy and Lyon sites.
+While the EDP algorithm was slower than Maxdist algorithm by ten times over the same number of nodes and same distribution, its execution time on average 
+is equal to 0.1 $ms$. 
+}
+
+
+\section{Conclusion}
+\label{sec.concl}
+\textcolor{blue}{
+This paper has been  presented a new online frequencies selection algorithm.
+It works based on objective function that maximized the tradeoff distance 
+between the predicted energy consumption and the predicted execution time of the distributed 
+iterative applications running over heterogeneous grid. The algorithm selects the best vector of the 
+frequencies which maximized the objective function has been used. A new energy model 
+used by the proposed algorithm for measuring and predicting the energy consumption 
+of the distributed iterative message passing application running over grid architecture.
+To evaluate the proposed method on a real heterogeneous grid platform, it was applied on the  
+NAS parallel benchmarks  class D instance  and executed over grid'5000 testbed platform. 
+The experimental results showed that the algorithm saves the energy consumptions on average 
+for all NAS benchmarks up to 30\%  while gives only 3\% percentage on average for the performance 
+degradation for the same instance. The algorithm also selecting different frequencies according to the 
+computations and communication times ratio, and according to the values of the static and measured dynamic power of the CPUs. The computations to communications ratio was varied between different scenarios have been used, concerning to the distribution of the computing nodes between different clusters' sites and using one core or multi-cores per node.
+Finally, the proposed algorithm was compared to other algorithm which it
+used the will known energy and delay product as an objective function. The comparison results showed 
+that the proposed algorithm outperform the other one in term of energy-time tradeoff.
+In the near future, we would like to develop a similar method that is adapted to
+asynchronous iterative applications where each task does not
+wait for other tasks to finish their works. The development of
+such a method might require a new energy model because the
+number of iterations is not known in advance and depends on
+the global convergence of the iterative system.
+}
+
+
+\section*{Acknowledgment}
+
+This work  has been  partially supported by  the Labex ACTION  project (contract
+``ANR-11-LABX-01-01'').  Computations  have been performed  on the supercomputer
+facilities  of the  Mésocentre de  calcul de  Franche-Comté. As  a  PhD student,
+Mr. Ahmed  Fanfakh, would  like to  thank the University  of Babylon  (Iraq) for
+supporting his work.$•$
+
+
+
+%% The Appendices part is started with the command \appendix;
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+\def\figurename{Fig.}
+\long\def\@makecaption#1#2{%
+  \vskip\abovecaptionskip\footnotesize
+  \sbox\@tempboxa{#1. #2}%
+  \ifdim \wd\@tempboxa >\hsize
+    #1. #2\par
+  \else
+    \global \@minipagefalse
+    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
+  \fi
+  \vskip\belowcaptionskip}
+\else
+\long\def\@makecaption#1#2{%
+  \vskip\abovecaptionskip\footnotesize
+  \sbox\@tempboxa{#1. #2}%
+  \ifdim \wd\@tempboxa >\hsize
+    #1. #2\par
+  \else
+    \global \@minipagefalse
+    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
+  \fi
+  \vskip\belowcaptionskip}
+\fi
+
+\makeatother
+
+%% Change log
+
+%% 27 Feb 2010:  Fontsize of dochead changed to \large from \Large
+%%               as per Martin Ruck's mail on 26 Feb 2010.
+%%
+%%--------
+%%
+%% 7 May 2011:   As pe Martin Ruck's request on May 5, to make the
+%%               output same as that of Word template, following changes
+%%               are made:
+%
+%%               1. New option `procedia' defined. If this option is
+%%                  used along with the 3p option, the output will be
+%%                  same as that of the Word template.
+%
+%%               2. \CopyrightLine[<text-before-year>]{<year>}{<restt-of-the-copyright-text>}
+%%                  defined.
+%%                  eg: \CopyrightLine[Crown copyright]{2011}{Published by Elsevier Ltd.}
+%%                      \CopyrightLine{2011}{Elsevier Ltd. All rights reserved}
+%
+%%               3. Fontsize of the following parts updated:
+%%                  Title, Author, Abstract, Keywords
+%
+%%               4. Header and footer corrected. Earlier for both the
+%%                  odd and even pages, the header was same. But now
+%%                  this is changed.
+%
+%%               5. `Figure' changed to `Fig.' in caption.
+%
+%%               6. Textwidth changed to 428.pt for the option `nsmodel'.
+%
+%%               7. EPS version of logos created so that authors can
+%%                  can use latex too in addition to pdflatex.
+%
+%% 2 June 2011:  1. A small typo corrected. (Proceedia changed to
+%%                  Procedia).
+%
+%%               2. The journal url will appear only if the option
+%%                  `procedia' is given.
diff --git a/mpi-energy2-extension/elsarticle-1.cls b/mpi-energy2-extension/elsarticle-1.cls
new file mode 100644
index 0000000..1b15bce
--- /dev/null
+++ b/mpi-energy2-extension/elsarticle-1.cls
@@ -0,0 +1,810 @@
+%%
+%% This is file `elsarticle.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% elsarticle.dtx  (with options: `class')
+%% 
+%% Copyright 2007, 2008, 2009 Elsevier Ltd
+%% 
+%% This file is part of the 'Elsarticle Bundle'.
+%% -------------------------------------------
+%% 
+%% It may be distributed under the conditions of the LaTeX Project Public
+%% License, either version 1.2 of this license or (at your option) any
+%% later version.  The latest version of this license is in
+%%    http://www.latex-project.org/lppl.txt
+%% and version 1.2 or later is part of all distributions of LaTeX
+%% version 1999/12/01 or later.
+%% 
+%% The list of all files belonging to the 'Elsarticle Bundle' is
+%% given in the file `manifest.txt'.
+%% 
+%%
+%% $Id: elsarticle.dtx 19 2009-12-17 07:07:52Z rishi $
+%%
+ \def\RCSfile{elsarticle}%
+ \def\RCSversion{1.20b}%
+ \def\RCSdate{2009/09/17}%
+ \def\@shortjnl{\relax}
+ \def\@journal{Elsevier Ltd} \def\@company{Elsevier Ltd}
+ \def\@issn{000-0000}
+ \def\@shortjid{elsarticle}
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]
+\ProvidesClass{\@shortjid}[\RCSdate, \RCSversion: \@journal]
+\def\ABD{\AtBeginDocument}
+\newif\ifpreprint \preprintfalse
+\newif\iflongmktitle \longmktitlefalse
+
+\def\@blstr{1}
+\newdimen\@bls
+\@bls=\baselineskip
+
+\def\@finalWarning{%
+  *****************************************************\MessageBreak
+   This document is typeset in the CRC style which\MessageBreak
+   is not suitable for submission.\MessageBreak
+   \MessageBreak
+   Please typeset again using 'preprint' option\MessageBreak
+   for creating PDF suitable for submission.\MessageBreak
+  ******************************************************\MessageBreak
+}
+
+\DeclareOption{preprint}{\global\preprinttrue
+  \gdef\@blstr{1}\xdef\jtype{0}%
+   \AtBeginDocument{\@twosidefalse\@mparswitchfalse}}
+\DeclareOption{final}{\gdef\@blstr{1}\global\preprintfalse}
+\DeclareOption{review}{\global\preprinttrue\gdef\@blstr{1.5}}
+\DeclareOption{authoryear}{\xdef\@biboptions{round,authoryear}}
+\DeclareOption{number}{\xdef\@biboptions{numbers}}
+\DeclareOption{numbers}{\xdef\@biboptions{numbers}}
+\DeclareOption{longtitle}{\global\longmktitletrue}
+\DeclareOption{5p}{\xdef\jtype{5}\global\preprintfalse
+  \ExecuteOptions{twocolumn}}
+  \def\jtype{0}
+\DeclareOption{3p}{\xdef\jtype{3}\global\preprintfalse}
+\DeclareOption{1p}{\xdef\jtype{1}\global\preprintfalse
+  \AtBeginDocument{\@twocolumnfalse}}
+\DeclareOption{times}{\IfFileExists{txfonts.sty}%
+  {\AtEndOfClass{\RequirePackage{txfonts}%
+  \gdef\ttdefault{cmtt}%
+   \let\iint\relax
+  \let\iiint\relax
+  \let\iiiint\relax
+  \let\idotsint\relax
+  \let\openbox\relax}}{\RequirePackage{times}}}
+\ExecuteOptions{a4paper,10pt,oneside,onecolumn,number,preprint}
+\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
+\ProcessOptions
+\LoadClass{article}
+\RequirePackage{graphicx}
+\let\comma\@empty
+\let\tnotesep\@empty
+\def\title#1{\gdef\@title{#1}}
+\let\@title\@empty
+
+\def\elsLabel#1{\@bsphack\protected@write\@auxout{}%
+         {\string\Newlabel{#1}{\@currentlabel}}\@esphack}
+\def\Newlabel#1#2{\expandafter\xdef\csname X@#1\endcsname{#2}}
+
+\def\elsRef#1{\@ifundefined{X@#1}{0}{\csname X@#1\endcsname}%
+}
+
+\def\tnotemark[#1]{\textsuperscript{\@for\@@tmark:=#1\do{%
+      \edef\tnotenum{\@ifundefined{X@\@@tmark}{1}{\elsRef{\@@tmark}}}%
+      \ifcase\tnotenum\or\ding{73}\or,\ding{73}\ding{73}\fi}}%
+}
+\let\@tnotemark\@empty
+
+\let\@tnotes\@empty
+\RequirePackage{pifont}
+\newcounter{tnote}
+\def\tnotetext[#1]#2{\g@addto@macro\@tnotes{%
+  \refstepcounter{tnote}\elsLabel{#1}%
+   \def\thefootnote{\ifcase\c@tnote\or\ding{73}\or\ding{73}\ding{73}\fi}%
+    \footnotetext{#2}}}
+
+\let\@nonumnotes\@empty
+\def\nonumnote#1{\g@addto@macro\@nonumnotes{%
+     \let\thefootnote\relax\footnotetext{#1}}}
+
+\newcounter{fnote}
+\def\fnmark[#1]{\let\comma\@empty
+    \def\@fnmark{\@for\@@fnmark:=#1\do{%
+    \edef\fnotenum{\@ifundefined{X@\@@fnmark}{1}{\elsRef{\@@fnmark}}}%
+  \unskip\comma\fnotenum\let\comma,}}%
+}
+
+\let\@fnotes\@empty\let\@fnmark\@empty
+\def\fntext[#1]#2{\g@addto@macro\@fnotes{%
+     \refstepcounter{fnote}\elsLabel{#1}%
+   \def\thefootnote{\thefnote}%
+   \global\setcounter{footnote}{\thefnote}%
+   \footnotetext{#2}}}
+
+\def\cormark[#1]{\edef\cnotenum{\elsRef{#1}}%
+    \unskip\textsuperscript{\sep\ifcase\cnotenum\or
+       $\ast$\or$\ast\ast$\fi\hspace{-1pt}}\let\sep=,}
+
+\let\@cormark\@empty
+\let\@cornotes\@empty
+\newcounter{cnote}
+\def\cortext[#1]#2{\g@addto@macro\@cornotes{%
+    \refstepcounter{cnote}\elsLabel{#1}%
+    \def\thefootnote{\ifcase\thecnote\or$\ast$\or
+    $\ast\ast$\fi}%
+    \footnotetext{#2}}}
+
+\let\@corref\@empty
+\def\corref#1{\edef\cnotenum{\elsRef{#1}}%
+    \edef\@corref{\ifcase\cnotenum\or
+         $\ast$\or$\ast\ast$\fi\hskip-1pt}}
+
+\def\fnref#1{\fnmark[#1]}
+\def\tnoteref#1{\tnotemark[#1]}
+
+\def\resetTitleCounters{\c@cnote=0
+   \c@fnote=0 \c@tnote=0 \c@footnote=0}
+
+\let\eadsep\@empty
+\let\@elseads\@empty
+\let\@elsuads\@empty
+\let\@cormark\@empty
+\def\hashchar{\expandafter\@gobble\string\~}
+\def\underscorechar{\expandafter\@gobble\string\_}
+\def\lbracechar{\expandafter\@gobble\string\{}
+\def\rbracechar{\expandafter\@gobble\string\}}
+
+\def\ead{\@ifnextchar[{\@uad}{\@ead}}
+\gdef\@ead#1{\bgroup\def\_{\string\underscorechar\space}%
+  \def\{{\string\lbracechar\space}%
+   \def~{\hashchar\space}%
+   \def\}{\string\rbracechar\space}%
+   \edef\tmp{\the\@eadauthor}
+   \immediate\write\@auxout{\string\emailauthor
+     {#1}{\expandafter\strip@prefix\meaning\tmp}}%
+  \egroup
+}
+\newcounter{ead}
+\gdef\emailauthor#1#2{\stepcounter{ead}%
+     \g@addto@macro\@elseads{\raggedright%
+      \let\corref\@gobble
+      \eadsep\texttt{#1} (#2)\def\eadsep{\unskip,\space}}%
+}
+\gdef\@uad[#1]#2{\bgroup
+  \def~{\string\hashchar\space}%
+  \def\_{\string\underscorechar\space}%
+   \edef\tmp{\the\@eadauthor}
+   \immediate\write\@auxout{\string\urlauthor
+     {#2}{\expandafter\strip@prefix\meaning\tmp}}%
+  \egroup
+}
+\def\urlauthor#1#2{\g@addto@macro\@elsuads{\let\corref\@gobble%
+     \raggedright\eadsep\texttt{#1}\space(#2)%
+     \def\eadsep{\unskip,\space}}%
+}
+
+\def\elsauthors{}
+\def\pprinttitle{}
+\let\authorsep\@empty
+\let\sep\@empty
+\newcounter{author}
+\def\author{\@ifnextchar[{\@@author}{\@author}}
+
+\newtoks\@eadauthor
+\def\@@author[#1]#2{\g@addto@macro\elsauthors{%
+    \def\baselinestretch{1}%
+    \authorsep#2\unskip\textsuperscript{%#1%
+      \@for\@@affmark:=#1\do{%
+       \edef\affnum{\@ifundefined{X@\@@affmark}{1}{\elsRef{\@@affmark}}}%
+     \unskip\sep\affnum\let\sep=,}%
+      \ifx\@fnmark\@empty\else\unskip\sep\@fnmark\let\sep=,\fi
+      \ifx\@corref\@empty\else\unskip\sep\@corref\let\sep=,\fi
+      }%
+    \def\authorsep{\unskip,\space}%
+    \global\let\sep\@empty\global\let\@corref\@empty
+    \global\let\@fnmark\@empty}%
+    \@eadauthor={#2}
+}
+
+\def\@author#1{\g@addto@macro\elsauthors{\normalsize%
+    \def\baselinestretch{1}%
+    \upshape\authorsep#1\unskip\textsuperscript{%
+      \ifx\@fnmark\@empty\else\unskip\sep\@fnmark\let\sep=,\fi
+      \ifx\@corref\@empty\else\unskip\sep\@corref\let\sep=,\fi
+      }%
+    \def\authorsep{\unskip,\space}%
+    \global\let\@fnmark\@empty
+    \global\let\@corref\@empty
+    \global\let\sep\@empty}%
+    \@eadauthor={#1}
+}
+
+\def\elsaddress{}
+\def\addsep{\par\vskip6pt}
+\def\address{\@ifnextchar[{\@@address}{\@address}}
+
+\def\@alph#1{%
+  \ifcase#1\or a\or b\or c\or d\or e\or f\or g\or h\or i\or j\or k\or
+  l\or m\or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or
+  y\or z%
+  \or aa\or ab\or ac\or ad\or ae\or af\or ag\or ah\or ai\or aj\or
+  ak\or al\or am\or an\or ao\or ap\or aq\or ar\or as\or at\or au\or
+  av\or aw\or ax\or ay\or az%
+  \or ba\or bb\or bc\or bd\or be\or bf\or bg\or bh\or bi\or bj\or
+  bk\or bl\or bm\or bn\or bo\or bp\or bq\or br\or bs\or bt\or bu\or
+  bv\or bw\or bx\or by\or bz%
+  \or ca\or cb\or cc\or cd\or ce\or cf\or cg\or ch\or ci\or cj\or
+  ck\or cl\or cm\or cn\or co\or cp\or cq\or cr\or cs\or ct\or cu\or
+  cv\or cw\or cx\or cy\or cz%
+  \or da\or db\or dc\or dd\or de\or df\or dg\or dh\or di\or dj\or
+  dk\or dl\or dm\or dn\or do\or dp\or dq\or dr\or ds\or dt\or du\or
+  dv\or dw\or dx\or dy\or dz%
+  \or ea\or eb\or ec\or ed\or ee\or ef\or eg\or eh\or ei\or ej\or
+  ek\or el\or em\or en\or eo\or ep\or eq\or er\or es\or et\or eu\or
+  ev\or ew\or ex\or ey\or ez%
+  \or fa\or fb\or fc\or fd\or fe\or ff\or fg\or fh\or fi\or fj\or
+  fk\or fl\or fm\or fn\or fo\or fp\or fq\or fr\or fs\or ft\or fu\or
+  fv\or fw\or fx\or fy\or fz%
+  \or ga\or gb\or gc\or gd\or ge\or gf\or gg\or gh\or gi\or gj\or
+  gk\or gl\or gm\or gn\or go\or gp\or gq\or gr\or gs\or gt\or gu\or
+  gv\or gw\or gx\or gy\or gz%
+  \else\@ctrerr\fi}
+
+\newcounter{affn}
+\renewcommand\theaffn{\alph{affn}}
+
+\long\def\@@address[#1]#2{\g@addto@macro\elsaddress{%
+    \def\baselinestretch{1}%
+     \refstepcounter{affn}
+     \xdef\@currentlabel{\theaffn}
+     \elsLabel{#1}%
+    \textsuperscript{\theaffn}#2\par}}
+
+\long\def\@address#1{\g@addto@macro\elsauthors{%
+    \def\baselinestretch{1}%
+    \addsep\footnotesize\itshape#1\def\addsep{\par\vskip6pt}%
+    \def\authorsep{\par\vskip8pt}}}
+
+\newbox\absbox
+\renewenvironment{abstract}{\global\setbox\absbox=\vbox\bgroup
+  \hsize=\textwidth\def\baselinestretch{1}%
+  \noindent\unskip\textbf{Abstract}
+ \par\medskip\noindent\unskip\ignorespaces}
+ {\egroup}
+
+\newbox\keybox
+\def\keyword{%
+  \def\sep{\unskip, }%
+ \def\MSC{\@ifnextchar[{\@MSC}{\@MSC[2000]}}
+  \def\@MSC[##1]{\par\leavevmode\hbox {\it ##1~MSC:\space}}%
+  \def\PACS{\par\leavevmode\hbox {\it PACS:\space}}%
+  \def\JEL{\par\leavevmode\hbox {\it JEL:\space}}%
+  \global\setbox\keybox=\vbox\bgroup\hsize=\textwidth
+  \normalsize\normalfont\def\baselinestretch{1}
+  \parskip\z@
+  \noindent\textit{Keywords: }
+  \raggedright                         % Keywords are not justified.
+  \ignorespaces}
+\def\endkeyword{\par \egroup}
+
+\newdimen\Columnwidth
+\Columnwidth=\columnwidth
+
+\def\printFirstPageNotes{%
+  \iflongmktitle
+   \let\columnwidth=\textwidth\fi
+  \ifx\@tnotes\@empty\else\@tnotes\fi
+  \ifx\@nonumnotes\@empty\else\@nonumnotes\fi
+  \ifx\@cornotes\@empty\else\@cornotes\fi
+  \ifx\@elseads\@empty\relax\else
+   \let\thefootnote\relax
+   \footnotetext{\ifnum\theead=1\relax
+      \textit{Email address:\space}\else
+      \textit{Email addresses:\space}\fi
+     \@elseads}\fi
+  \ifx\@elsuads\@empty\relax\else
+   \let\thefootnote\relax
+   \footnotetext{\textit{URL:\space}%
+     \@elsuads}\fi
+  \ifx\@fnotes\@empty\else\@fnotes\fi
+  \iflongmktitle\if@twocolumn
+   \let\columnwidth=\Columnwidth\fi\fi
+}
+
+\long\def\pprintMaketitle{\clearpage
+  \iflongmktitle\if@twocolumn\let\columnwidth=\textwidth\fi\fi
+  \resetTitleCounters
+  \def\baselinestretch{1}%
+  \printFirstPageNotes
+  \begin{center}%
+ \thispagestyle{pprintTitle}%
+   \def\baselinestretch{1}%
+    \Large\@title\par\vskip18pt
+    \normalsize\elsauthors\par\vskip10pt
+    \footnotesize\itshape\elsaddress\par\vskip36pt
+    \hrule\vskip12pt
+    \ifvoid\absbox\else\unvbox\absbox\par\vskip10pt\fi
+    \ifvoid\keybox\else\unvbox\keybox\par\vskip10pt\fi
+    \hrule\vskip12pt
+    \end{center}%
+  \gdef\thefootnote{\arabic{footnote}}%
+  }
+
+\def\printWarning{%
+     \mbox{}\par\vfill\par\bgroup
+     \fboxsep12pt\fboxrule1pt
+     \hspace*{.18\textwidth}
+     \fcolorbox{gray50}{gray10}{\box\warnbox}
+     \egroup\par\vfill\thispagestyle{empty}
+     \setcounter{page}{0}
+     \clearpage}
+
+\long\def\finalMaketitle{%
+  \resetTitleCounters
+  \def\baselinestretch{1}%
+   \MaketitleBox
+   \thispagestyle{pprintTitle}%
+  \gdef\thefootnote{\arabic{footnote}}%
+  }
+
+\long\def\MaketitleBox{%
+  \resetTitleCounters
+  \def\baselinestretch{1}%
+  \begin{center}%
+   \def\baselinestretch{1}%
+    \Large\@title\par\vskip18pt
+    \normalsize\elsauthors\par\vskip10pt
+    \footnotesize\itshape\elsaddress\par\vskip36pt
+    \hrule\vskip12pt
+    \ifvoid\absbox\else\unvbox\absbox\par\vskip10pt\fi
+    \ifvoid\keybox\else\unvbox\keybox\par\vskip10pt\fi
+    \hrule\vskip12pt
+    \end{center}%
+  }
+
+\def\FNtext#1{\par\bgroup\footnotesize#1\egroup}
+\newdimen\space@left
+\def\alarm#1{\typeout{******************************}%
+             \typeout{#1}%
+             \typeout{******************************}%
+}
+\long\def\getSpaceLeft{%\global\@twocolumnfalse%
+   \global\setbox0=\vbox{\hsize=\textwidth\MaketitleBox}%
+   \global\setbox1=\vbox{\hsize=\textwidth
+    \let\footnotetext\FNtext
+    \printFirstPageNotes}%
+    \xdef\noteheight{\the\ht1}%
+    \xdef\titleheight{\the\ht0}%
+    \@tempdima=\vsize
+    \advance\@tempdima-\noteheight
+    \advance\@tempdima-1\baselineskip
+}
+
+  \skip\footins=24pt
+
+\newbox\els@boxa
+\newbox\els@boxb
+
+\ifpreprint
+  \def\maketitle{\pprintMaketitle}
+  \else
+   \ifnum\jtype=1
+    \def\maketitle{%
+      \iflongmktitle\getSpaceLeft
+       \global\setbox\els@boxa=\vsplit0 to \@tempdima
+       \box\els@boxa\par\resetTitleCounters
+       \thispagestyle{pprintTitle}%
+       \printFirstPageNotes
+       \box0%
+      \else
+       \finalMaketitle\printFirstPageNotes
+      \fi
+    \gdef\thefootnote{\arabic{footnote}}}%
+  \else
+ \ifnum\jtype=5
+    \def\maketitle{%
+      \iflongmktitle\getSpaceLeft
+       \global\setbox\els@boxa=\vsplit0 to \@tempdima
+       \box\els@boxa\par\resetTitleCounters
+       \thispagestyle{pprintTitle}%
+       \printFirstPageNotes
+       \twocolumn[\box0]%\printFirstPageNotes
+      \else
+       \twocolumn[\finalMaketitle]\printFirstPageNotes
+     \fi
+     \gdef\thefootnote{\arabic{footnote}}}
+  \else
+  \if@twocolumn
+    \def\maketitle{%
+      \iflongmktitle\getSpaceLeft
+       \global\setbox\els@boxa=\vsplit0 to \@tempdima
+       \box\els@boxa\par\resetTitleCounters
+       \thispagestyle{pprintTitle}%
+       \printFirstPageNotes
+       \twocolumn[\box0]%
+      \else
+       \twocolumn[\finalMaketitle]\printFirstPageNotes
+      \fi
+     \gdef\thefootnote{\arabic{footnote}}}%
+   \else
+    \def\maketitle{%
+      \iflongmktitle\getSpaceLeft
+       \global\setbox\els@boxa=\vsplit0 to \@tempdima
+       \box\els@boxa\par\resetTitleCounters
+       \thispagestyle{pprintTitle}%
+       \printFirstPageNotes
+       \box0%
+     \else
+       \finalMaketitle\printFirstPageNotes
+      \fi
+    \gdef\thefootnote{\arabic{footnote}}}%
+   \fi
+  \fi
+ \fi
+\fi
+\def\ps@pprintTitle{%
+     \let\@oddhead\@empty
+     \let\@evenhead\@empty
+     \def\@oddfoot{\footnotesize\itshape
+       Preprint submitted to \ifx\@journal\@empty Elsevier
+       \else\@journal\fi\hfill\today}%
+     \let\@evenfoot\@oddfoot}
+\def\@seccntDot{.}
+\def\@seccntformat#1{\csname the#1\endcsname\@seccntDot\hskip 0.5em}
+
+\renewcommand\section{\@startsection {section}{1}{\z@}%
+           {18\p@ \@plus 6\p@ \@minus 3\p@}%
+           {9\p@ \@plus 6\p@ \@minus 3\p@}%
+           {\normalsize\bfseries\boldmath}}
+\renewcommand\subsection{\@startsection{subsection}{2}{\z@}%
+           {12\p@ \@plus 6\p@ \@minus 3\p@}%
+           {3\p@ \@plus 6\p@ \@minus 3\p@}%
+           {\normalfont\normalsize\itshape}}
+\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
+           {12\p@ \@plus 6\p@ \@minus 3\p@}%
+           {\p@}%
+           {\normalfont\normalsize\itshape}}
+
+\def\paragraph{\secdef{\els@aparagraph}{\els@bparagraph}}
+\def\els@aparagraph[#1]#2{\elsparagraph[#1]{#2.}}
+\def\els@bparagraph#1{\elsparagraph*{#1.}}
+
+\newcommand\elsparagraph{\@startsection{paragraph}{4}{0\z@}%
+           {10\p@ \@plus 6\p@ \@minus 3\p@}%
+           {-6\p@}%
+           {\normalfont\itshape}}
+\newdimen\leftMargin
+\leftMargin=2em
+\newtoks\@enLab  %\newtoks\@enfont
+\def\@enQmark{?}
+\def\@enLabel#1#2{%
+  \edef\@enThe{\noexpand#1{\@enumctr}}%
+  \@enLab\expandafter{\the\@enLab\csname the\@enumctr\endcsname}%
+  \@enloop}
+\def\@enSpace{\afterassignment\@enSp@ce\let\@tempa= }
+\def\@enSp@ce{\@enLab\expandafter{\the\@enLab\space}\@enloop}
+\def\@enGroup#1{\@enLab\expandafter{\the\@enLab{#1}}\@enloop}
+\def\@enOther#1{\@enLab\expandafter{\the\@enLab#1}\@enloop}
+\def\@enloop{\futurelet\@entemp\@enloop@}
+\def\@enloop@{%
+  \ifx A\@entemp         \def\@tempa{\@enLabel\Alph  }\else
+  \ifx a\@entemp         \def\@tempa{\@enLabel\alph  }\else
+  \ifx i\@entemp         \def\@tempa{\@enLabel\roman }\else
+  \ifx I\@entemp         \def\@tempa{\@enLabel\Roman }\else
+  \ifx 1\@entemp         \def\@tempa{\@enLabel\arabic}\else
+  \ifx \@sptoken\@entemp \let\@tempa\@enSpace         \else
+  \ifx \bgroup\@entemp   \let\@tempa\@enGroup         \else
+  \ifx \@enum@\@entemp   \let\@tempa\@gobble          \else
+                         \let\@tempa\@enOther
+             \fi\fi\fi\fi\fi\fi\fi\fi
+  \@tempa}
+\newlength{\@sep} \newlength{\@@sep}
+\setlength{\@sep}{.5\baselineskip plus.2\baselineskip
+            minus.2\baselineskip}
+\setlength{\@@sep}{.1\baselineskip plus.01\baselineskip
+            minus.05\baselineskip}
+\providecommand{\sfbc}{\rmfamily\upshape}
+\providecommand{\sfn}{\rmfamily\upshape}
+\def\@enfont{\ifnum \@enumdepth >1\let\@nxt\sfn \else\let\@nxt\sfbc \fi\@nxt}
+\def\enumerate{%
+   \ifnum \@enumdepth >3 \@toodeep\else
+      \advance\@enumdepth \@ne
+      \edef\@enumctr{enum\romannumeral\the\@enumdepth}\fi
+   \@ifnextchar[{\@@enum@}{\@enum@}}
+\def\@@enum@[#1]{%
+  \@enLab{}\let\@enThe\@enQmark
+  \@enloop#1\@enum@
+  \ifx\@enThe\@enQmark\@warning{The counter will not be printed.%
+   ^^J\space\@spaces\@spaces\@spaces The label is: \the\@enLab}\fi
+  \expandafter\edef\csname label\@enumctr\endcsname{\the\@enLab}%
+  \expandafter\let\csname the\@enumctr\endcsname\@enThe
+  \csname c@\@enumctr\endcsname7
+  \expandafter\settowidth
+            \csname leftmargin\romannumeral\@enumdepth\endcsname
+            {\the\@enLab\hskip\labelsep}%
+  \@enum@}
+\def\@enum@{\list{{\@enfont\csname label\@enumctr\endcsname}}%
+           {\usecounter{\@enumctr}\def\makelabel##1{\hss\llap{##1}}%
+     \ifnum \@enumdepth>1\setlength{\topsep}{\@@sep}\else
+           \setlength{\topsep}{\@sep}\fi
+     \ifnum \@enumdepth>1\setlength{\itemsep}{0pt plus1pt minus1pt}%
+      \else \setlength{\itemsep}{\@@sep}\fi
+     %\setlength\leftmargin{\leftMargin}%%%{1.8em}
+     \setlength{\parsep}{0pt plus1pt minus1pt}%
+     \setlength{\parskip}{0pt plus1pt minus1pt}
+                   }}
+
+\def\endenumerate{\par\ifnum \@enumdepth >1\addvspace{\@@sep}\else
+           \addvspace{\@sep}\fi \endlist}
+
+\def\sitem{\@noitemargtrue\@item[\@itemlabel *]}
+
+\def\itemize{\@ifnextchar[{\@Itemize}{\@Itemize[]}}
+
+\def\@Itemize[#1]{\def\next{#1}%
+  \ifnum \@itemdepth >\thr@@\@toodeep\else
+   \advance\@itemdepth\@ne
+  \ifx\next\@empty\else\expandafter\def\csname
+   labelitem\romannumeral\the\@itemdepth\endcsname{#1}\fi%
+  \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
+  \expandafter\list\csname\@itemitem\endcsname
+  {\def\makelabel##1{\hss\llap{##1}}}%
+ \fi}
+\def\newdefinition#1{%
+  \@ifnextchar[{\@odfn{#1}}{\@ndfn{#1}}}%]
+\def\@ndfn#1#2{%
+  \@ifnextchar[{\@xndfn{#1}{#2}}{\@yndfn{#1}{#2}}}
+\def\@xndfn#1#2[#3]{%
+  \expandafter\@ifdefinable\csname #1\endcsname
+    {\@definecounter{#1}\@newctr{#1}[#3]%
+     \expandafter\xdef\csname the#1\endcsname{%
+       \expandafter\noexpand\csname the#3\endcsname \@dfncountersep
+          \@dfncounter{#1}}%
+     \global\@namedef{#1}{\@dfn{#1}{#2}}%
+     \global\@namedef{end#1}{\@enddefinition}}}
+\def\@yndfn#1#2{%
+  \expandafter\@ifdefinable\csname #1\endcsname
+    {\@definecounter{#1}%
+     \expandafter\xdef\csname the#1\endcsname{\@dfncounter{#1}}%
+     \global\@namedef{#1}{\@dfn{#1}{#2}}%
+     \global\@namedef{end#1}{\@enddefinition}}}
+\def\@odfn#1[#2]#3{%
+  \@ifundefined{c@#2}{\@nocounterr{#2}}%
+    {\expandafter\@ifdefinable\csname #1\endcsname
+    {\global\@namedef{the#1}{\@nameuse{the#2}}
+  \global\@namedef{#1}{\@dfn{#2}{#3}}%
+  \global\@namedef{end#1}{\@enddefinition}}}}
+\def\@dfn#1#2{%
+  \refstepcounter{#1}%
+  \@ifnextchar[{\@ydfn{#1}{#2}}{\@xdfn{#1}{#2}}}
+\def\@xdfn#1#2{%
+  \@begindefinition{#2}{\csname the#1\endcsname}\ignorespaces}
+\def\@ydfn#1#2[#3]{%
+  \@opargbegindefinition{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
+\def\@dfncounter#1{\noexpand\arabic{#1}}
+\def\@dfncountersep{.}
+\def\@begindefinition#1#2{\trivlist
+   \item[\hskip\labelsep{\bfseries #1\ #2.}]\upshape}
+\def\@opargbegindefinition#1#2#3{\trivlist
+      \item[\hskip\labelsep{\bfseries #1\ #2\ (#3).}]\upshape}
+\def\@enddefinition{\endtrivlist}
+
+\def\@begintheorem#1#2{\trivlist
+  \let\baselinestretch\@blstr
+   \item[\hskip \labelsep{\bfseries #1\ #2.}]\itshape}
+\def\@opargbegintheorem#1#2#3{\trivlist
+  \let\baselinestretch\@blstr
+      \item[\hskip \labelsep{\bfseries #1\ #2\ (#3).}]\itshape}
+
+\def\newproof#1{%
+  \@ifnextchar[{\@oprf{#1}}{\@nprf{#1}}}
+\def\@nprf#1#2{%
+  \@ifnextchar[{\@xnprf{#1}{#2}}{\@ynprf{#1}{#2}}}
+\def\@xnprf#1#2[#3]{%
+  \expandafter\@ifdefinable\csname #1\endcsname
+    {\@definecounter{#1}\@newctr{#1}[#3]%
+     \expandafter\xdef\csname the#1\endcsname{%
+       \expandafter\noexpand\csname the#3\endcsname \@prfcountersep
+          \@prfcounter{#1}}%
+     \global\@namedef{#1}{\@prf{#1}{#2}}%
+     \global\@namedef{end#1}{\@endproof}}}
+\def\@ynprf#1#2{%
+  \expandafter\@ifdefinable\csname #1\endcsname
+    {\@definecounter{#1}%
+     \expandafter\xdef\csname the#1\endcsname{\@prfcounter{#1}}%
+     \global\@namedef{#1}{\@prf{#1}{#2}}%
+     \global\@namedef{end#1}{\@endproof}}}
+\def\@oprf#1[#2]#3{%
+  \@ifundefined{c@#2}{\@nocounterr{#2}}%
+    {\expandafter\@ifdefinable\csname #1\endcsname
+    {\global\@namedef{the#1}{\@nameuse{the#2}}%
+  \global\@namedef{#1}{\@prf{#2}{#3}}%
+  \global\@namedef{end#1}{\@endproof}}}}
+\def\@prf#1#2{%
+  \refstepcounter{#1}%
+  \@ifnextchar[{\@yprf{#1}{#2}}{\@xprf{#1}{#2}}}
+\def\@xprf#1#2{%
+  \@beginproof{#2}{\csname the#1\endcsname}\ignorespaces}
+\def\@yprf#1#2[#3]{%
+  \@opargbeginproof{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
+\def\@prfcounter#1{\noexpand\arabic{#1}}
+\def\@prfcountersep{.}
+\def\@beginproof#1#2{\trivlist\let\baselinestretch\@blstr
+   \item[\hskip \labelsep{\scshape #1.}]\rmfamily}
+\def\@opargbeginproof#1#2#3{\trivlist\let\baselinestretch\@blstr
+      \item[\hskip \labelsep{\scshape #1\ (#3).}]\rmfamily}
+\def\@endproof{\endtrivlist}
+\newcommand*{\qed}{\hbox{}\hfill$\Box$}
+
+\@ifundefined{@biboptions}{\xdef\@biboptions{numbers}}{}
+\InputIfFileExists{\jobname.spl}{}{}
+\RequirePackage[\@biboptions]{natbib}
+
+\newwrite\splwrite
+\immediate\openout\splwrite=\jobname.spl
+\def\biboptions#1{\def\next{#1}\immediate\write\splwrite{%
+   \string\g@addto@macro\string\@biboptions{%
+    ,\expandafter\strip@prefix\meaning\next}}}
+
+\let\baselinestretch=\@blstr
+
+\ifnum\jtype=1
+ \RequirePackage{geometry}
+ \geometry{twoside,
+  paperwidth=210mm,
+  paperheight=297mm,
+  textheight=562pt,
+  textwidth=384pt,
+  centering,
+  headheight=50pt,
+  headsep=12pt,
+  footskip=12pt,
+  footnotesep=24pt plus 2pt minus 12pt,
+ }
+ \global\let\bibfont=\footnotesize
+ \global\bibsep=0pt
+ \if@twocolumn\global\@twocolumnfalse\fi
+\else\ifnum\jtype=3
+ \RequirePackage{geometry}
+ \geometry{twoside,
+  paperwidth=210mm,
+  paperheight=297mm,
+  textheight=622pt,
+  textwidth=468pt,
+  centering,
+  headheight=50pt,
+  headsep=12pt,
+  footskip=18pt,
+  footnotesep=24pt plus 2pt minus 12pt,
+  columnsep=2pc
+ }
+ \global\let\bibfont=\footnotesize
+ \global\bibsep=0pt
+ \if@twocolumn\input{fleqn.clo}\fi
+\else\ifnum\jtype=5
+ \RequirePackage{geometry}
+ \geometry{twoside,
+  paperwidth=210mm,
+  paperheight=297mm,
+  textheight=682pt,
+  textwidth=522pt,
+  centering,
+ headheight=50pt,
+  headsep=12pt,
+  footskip=18pt,
+  footnotesep=24pt plus 2pt minus 12pt,
+  columnsep=18pt
+ }%
+ \global\let\bibfont=\footnotesize
+ \global\bibsep=0pt
+ \input{fleqn.clo}
+ \global\@twocolumntrue
+%%
+%% End of option '5p'
+%%
+\fi\fi\fi
+\def\journal#1{\gdef\@journal{#1}}
+ \let\@journal\@empty
+\newenvironment{frontmatter}{}{\maketitle}
+
+\long\def\@makecaption#1#2{%
+  \vskip\abovecaptionskip\footnotesize
+  \sbox\@tempboxa{#1: #2}%
+  \ifdim \wd\@tempboxa >\hsize
+    #1: #2\par
+  \else
+    \global \@minipagefalse
+    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
+  \fi
+  \vskip\belowcaptionskip}
+
+\AtBeginDocument{\@ifpackageloaded{hyperref}
+  {\def\@linkcolor{blue}
+   \def\@anchorcolor{blue}
+   \def\@citecolor{blue}
+   \def\@filecolor{blue}
+   \def\@urlcolor{blue}
+   \def\@menucolor{blue}
+   \def\@pagecolor{blue}
+\begingroup
+  \@makeother\`%
+  \@makeother\=%
+  \edef\x{%
+    \edef\noexpand\x{%
+      \endgroup
+      \noexpand\toks@{%
+        \catcode 96=\noexpand\the\catcode`\noexpand\`\relax
+        \catcode 61=\noexpand\the\catcode`\noexpand\=\relax
+      }%
+    }%
+    \noexpand\x
+  }%
+\x
+\@makeother\`
+\@makeother\=
+}{}}
+%%
+\def\appendixname{Appendix }
+\renewcommand\appendix{\par
+  \setcounter{section}{0}%
+  \setcounter{subsection}{0}%
+  \setcounter{equation}{0}
+  \gdef\thefigure{\@Alph\c@section.\arabic{figure}}%
+  \gdef\thetable{\@Alph\c@section.\arabic{table}}%
+  \gdef\thesection{\appendixname~\@Alph\c@section}%
+  \@addtoreset{equation}{section}%
+  \gdef\theequation{\@Alph\c@section.\arabic{equation}}%
+  \addtocontents{toc}{\string\let\string\numberline\string\tmptocnumberline}{}{}
+}
+
+%%%% \numberline width calculation for appendix.
+\newdimen\appnamewidth
+\def\tmptocnumberline#1{%
+   \setbox0=\hbox{\appendixname}
+   \appnamewidth=\wd0
+   \addtolength\appnamewidth{2.5pc}
+   \hb@xt@\appnamewidth{#1\hfill}
+}
+
+%% Added for work with amsrefs.sty
+
+\@ifpackageloaded{amsrefs}%
+  {}
+  {%\let\bibsection\relax%
+  \AtBeginDocument{\def\cites@b#1#2,#3{%
+    \begingroup[%
+        \toks@{\InnerCite{#2}#1}%
+        \ifx\@empty#3\@xp\@gobble\fi
+        \cites@c#3%
+}}}
+%%
+%% Added for avoiding clash with cleveref.sty
+
+\@ifpackageloaded{cleveref}%
+ {}
+ {\def\tnotetext[#1]#2{\g@addto@macro\@tnotes{%
+    \refstepcounter{tnote}%
+    \immediate\write\@auxout{\string\Newlabel{#1}{\thetnote}}
+    \def\thefootnote{\ifcase\c@tnote\or\ding{73}\or\ding{73}\ding{73}\fi}%
+    \footnotetext{#2}}}
+%%%
+  \def\fntext[#1]#2{\g@addto@macro\@fnotes{%
+    \refstepcounter{fnote}%
+    \immediate\write\@auxout{\string\Newlabel{#1}{\thefnote}}
+    \def\thefootnote{\thefnote}%
+    \global\setcounter{footnote}{\thefnote}%
+    \footnotetext{#2}}}
+%%%
+  \def\cortext[#1]#2{\g@addto@macro\@cornotes{%
+    \refstepcounter{cnote}%
+    \immediate\write\@auxout{\string\Newlabel{#1}{\thecnote}}
+    \def\thefootnote{\ifcase\thecnote\or$\ast$\or
+    $\ast\ast$\fi}%
+    \footnotetext{#2}}}
+}
+\endinput
+%%
+%% End of file `elsarticle.cls'.
+
diff --git a/mpi-energy2-extension/elsevier-logo-3p.pdf b/mpi-energy2-extension/elsevier-logo-3p.pdf
new file mode 100644
index 0000000..a768d68
Binary files /dev/null and b/mpi-energy2-extension/elsevier-logo-3p.pdf differ
diff --git a/mpi-energy2-extension/fig/dist-eps-converted-to.pdf b/mpi-energy2-extension/fig/dist-eps-converted-to.pdf
index e0779e3..b09756c 100644
Binary files a/mpi-energy2-extension/fig/dist-eps-converted-to.pdf and b/mpi-energy2-extension/fig/dist-eps-converted-to.pdf differ
diff --git a/mpi-energy2-extension/fig/dist.eps b/mpi-energy2-extension/fig/dist.eps
index b6722e7..01ffcbc 100644
--- a/mpi-energy2-extension/fig/dist.eps
+++ b/mpi-energy2-extension/fig/dist.eps
@@ -1,6 +1,6 @@
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+%%CreationDate: Thu Oct 22 12:39:41 2015
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 %%Orientation: Portrait
@@ -506,7 +506,7 @@ SDict begin [
   /Author (afanfakh)
 %  /Producer (gnuplot)
 %  /Keywords ()
-  /CreationDate (Wed Sep 30 10:32:15 2015)
+  /CreationDate (Thu Oct 22 12:39:41 2015)
   /DOCINFO pdfmark
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 } ifelse
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diff --git a/mpi-energy2-extension/fig/eng_con_scenarios.eps b/mpi-energy2-extension/fig/eng_con_scenarios.eps
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diff --git a/mpi-energy2-extension/fig/time_scenarios-eps-converted-to.pdf b/mpi-energy2-extension/fig/time_scenarios-eps-converted-to.pdf
index 4abb5f7..09b6734 100644
Binary files a/mpi-energy2-extension/fig/time_scenarios-eps-converted-to.pdf and b/mpi-energy2-extension/fig/time_scenarios-eps-converted-to.pdf differ
diff --git a/mpi-energy2-extension/fig/time_scenarios.eps b/mpi-energy2-extension/fig/time_scenarios.eps
index 1efb9da..a9b8da9 100644
--- a/mpi-energy2-extension/fig/time_scenarios.eps
+++ b/mpi-energy2-extension/fig/time_scenarios.eps
@@ -1,6 +1,6 @@
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+%%CreationDate: Thu Oct 22 12:39:30 2015
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@@ -506,7 +506,7 @@ SDict begin [
   /Author (afanfakh)
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-  /CreationDate (Wed Sep 23 09:41:36 2015)
+  /CreationDate (Thu Oct 22 12:39:30 2015)
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diff --git a/mpi-energy2-extension/numcompress.sty b/mpi-energy2-extension/numcompress.sty
new file mode 100644
index 0000000..b187eff
--- /dev/null
+++ b/mpi-energy2-extension/numcompress.sty
@@ -0,0 +1,189 @@
+%%
+%% This is file 'numcompress'.
+%%
+%% Copyright (C) 2009-2012 River Valley Technologies 
+%%                    <latex.support@river-valley.com>
+%%   
+%% This package may be distributed under the terms of the LaTeX Project 
+%% Public License, as described in lppl.txt in the base LaTeX distribution.
+%% Either version 1.0 or, at your option, any later version.
+%%
+%% $Id: numcompress.sty 187 2012-08-18 09:36:35Z rishi $
+%% $URL: http://lenova.river-valley.com/svn/elsbst/trunk/numcompress.sty $
+%%
+\NeedsTeXFormat{LaTeX2e}
+\def\Fileversion$#1: #2 ${\gdef\fileversion{#2}}
+\def\Filedate$#1: #2-#3-#4 #5 #6 #7 ${\gdef\filedate{#2/#3/#4}} 
+\Fileversion$Rev: 187 $
+\Filedate$LastChangedDate: 2012-08-18 15:06:35 +0530 (Sat, 18 Aug 2012) $
+\ProvidesPackage{numcompress}
+   [\filedate\space\fileversion\space numcompress (CVR)]
+\PackageWarningNoLine{numcompress}
+   {****************************************\MessageBreak
+    Package numcompress v,\fileversion\space loaded\MessageBreak
+    [Compress numbers (CVR)]\MessageBreak
+    ****************************************}
+\newif\ifdots \dotsfalse
+\newif\ifnumcompress \numcompresstrue
+
+\DeclareOption{dots}{\global\dotstrue}
+\DeclareOption{nodots}{\global\dotsfalse}
+\DeclareOption{compress}{\global\numcompresstrue}
+\DeclareOption{nocompress}{\global\numcompressfalse}
+
+\ProcessOptions 
+
+\def\removeDot#1{\def\tmp{#1}%
+    \ifx\tmp\@empty\else\@removeDot#1\@nil\fi}
+
+\def\@removeDot#1\@nil{\edef\fchar{\expandafter\@car#1\@nil}%
+      \edef\rchar{\expandafter\@cdr#1!\@nil}%
+      \def\@xmltempa{.}\def\@xmltempb{!}%
+      \ifx\fchar\@xmltempb\relax\else%
+      \ifx\fchar\@xmltempa\relax\else%
+      \fchar\ignorespaces\fi\removeDot{\rchar}\fi}
+
+\def\First[#1]{\csname First#1\endcsname}
+\def\Second[#1]{\csname Second#1\endcsname}
+
+\def\parseFirstPage#1{\@tempcnta=0
+  \@tfor\@digits:=#1\do{%
+    {\global\advance\@tempcnta by 1
+      \expandafter\xdef\csname
+      First\the\@tempcnta\endcsname{\@digits}%
+      \xdef\flength{\the\@tempcnta}}}}
+
+\def\parseSecondPage#1{\@tempcnta=0
+  \@tfor\@digits:=#1\do{%
+    {\global\advance\@tempcnta by 1
+      \expandafter\xdef\csname
+      Second\the\@tempcnta\endcsname{\@digits}%
+      \xdef\llength{\the\@tempcnta}}}}
+
+\newif\ifdissimilar\dissimilarfalse
+\def\checkequal#1#2{\edef\Farg{#1}\edef\Sarg{#2}%
+      \edef\One{A}%
+      \ifcat\One\Farg \relax\else%
+      \ifdissimilar\Sarg\else%
+      \ifnum\Farg=\Sarg\relax\else\Sarg\dissimilartrue\fi\fi\fi}
+%
+\let\@@fpage\@empty
+\let\@@lpage\@empty
+\def\fpage@compress#1{%
+      \gdef\@@fpage{#1}%
+            \edef\llength{0}%
+            \parseFirstPage{#1}%
+      \ifnum\flength=\llength%
+       \gdef\@fpage{\@@fpage}%
+       \gdef\@lpage{%
+        \@ifundefined{Second1}{}{\checkequal{\First[1]}{\Second[1]}}%
+        \@ifundefined{Second2}{}{\checkequal{\First[2]}{\Second[2]}}%
+        \@ifundefined{Second3}{}{\checkequal{\First[3]}{\Second[3]}}%
+        \@ifundefined{Second4}{}{\checkequal{\First[4]}{\Second[4]}}%
+        \@ifundefined{Second5}{}{\checkequal{\First[5]}{\Second[5]}}%
+      }%
+      \else%
+       \gdef\@fpage{\@@fpage}%
+       \gdef\@lpage{\@@lpage}%
+     \fi}
+
+\def\lpage@compress#1{%
+        \gdef\@@lpage{#1}%
+        \parseSecondPage{#1}%
+      \ifnum\flength=\llength%
+       \gdef\@fpage{\@@fpage}%
+       \gdef\@lpage{%
+       \edef\One{A}%
+       \edef\xFirst{\First[1]}%
+       \edef\xSecond{\Second[1]}%
+       \ifcat\One\xSecond\relax%
+          \ifx\xFirst\xSecond%
+           \@ifundefined{Second1}{}{\checkequal{\First[1]}{\Second[1]}}%
+           \@ifundefined{Second2}{}{\checkequal{\First[2]}{\Second[2]}}%
+           \@ifundefined{Second3}{}{\checkequal{\First[3]}{\Second[3]}}%
+           \@ifundefined{Second4}{}{\checkequal{\First[4]}{\Second[4]}}%
+           \@ifundefined{Second5}{}{\checkequal{\First[5]}{\Second[5]}}%
+          \else#1\fi%
+      \else%
+          \ifx\xFirst\xSecond%
+           \@ifundefined{Second1}{}{\checkequal{\First[1]}{\Second[1]}}%
+           \@ifundefined{Second2}{}{\checkequal{\First[2]}{\Second[2]}}%
+           \@ifundefined{Second3}{}{\checkequal{\First[3]}{\Second[3]}}%
+           \@ifundefined{Second4}{}{\checkequal{\First[4]}{\Second[4]}}%
+           \@ifundefined{Second5}{}{\checkequal{\First[5]}{\Second[5]}}%
+        \else#1\fi%
+      \fi%
+      }%
+    \else
+      \gdef\@fpage{\@@fpage}%
+      \gdef\@lpage{%
+      \edef\Targ{#1}%
+      \edef\One{A}%
+      \edef\xFirst{\First[1]}%
+      \edef\xSecond{\Second[1]}%
+      \ifx\xFirst\xSecond
+         \ifcat\One\xSecond\relax\else\@@lpage\fi%
+      \else#1\fi%
+      }%
+  \fi}
+
+%\newwrite\xx
+%\immediate\openout\xx=tmpbib.tex
+\gdef\@@lpage@compress#1--#2\@nil{\lpage@compress{#1}}
+\gdef\@@@pages#1#2{\def\next{#2}%
+%  \immediate\write\xx{[\the\c@NAT@ctr.]\space [#1][#2]}%
+  \fpage@compress{#1}%\ifx\next\@empty\relax\else
+   \@@lpage@compress#2\@nil%\fi
+  {\@fpage\ifx\next\@empty\relax\else
+    --\@lpage\fi}\resetall}
+
+\gdef\@@@page#1{#1\resetall}
+
+\def\mk@empty#1{\@tempcnta=1
+  \loop\ifnum\@tempcnta<6
+    \expandafter\let\csname#1\the\@tempcnta\endcsname\relax
+    \advance\@tempcnta by 1 \repeat}
+\def\resetall{\let\@lpage\@empty\let\@fpage\@empty
+   \def\flength{0}\def\llength{0}%
+   \let\@@fpage\@empty\let\@@lpage\@empty
+   \mk@empty{First}\mk@empty{Second}}
+
+
+\ifdots
+ \gdef\xfnm[#1]{\unskip\space#1}
+ \def\bibinfo#1#2{\@ifnextchar.{\@@bibinfo{#1}{#2}}{\@@@bibinfo{#1}{#2}}}
+ \def\@@@bibinfo#1#2{\def\next{#1}%
+   \def\@@@pg{pages}\def\@@@au{author}%
+   \ifx\next\@@@pg\bibpages{#2}\else
+   \ifx\next\@@@au\bibauthor{#2}\else
+   #2\fi\fi}
+ \def\@@bibinfo#1#2.{\def\next{#1}%
+  \def\@@@pg{pages}\def\@@@au{author}%
+  \ifx\next\@@@pg\bibpages{#2}.\else
+  \ifx\next\@@@au\bibauthor{#2}\else
+  #2.\fi\fi}
+\else
+ \gdef\xfnm[#1]{\unskip\space\removeDot{#1}}
+ \def\bibinfo#1#2{\def\next{#1}%
+   \def\@@@pg{pages}\def\@@@au{author}%
+   \ifx\next\@@@pg\bibpages{#2}\else
+   \ifx\next\@@@au\bibauthor{#2}\else
+   #2\fi\fi}
+\fi
+
+\ifnumcompress
+ \def\bibpages#1{\@@bibpages#1--\\\@nil}
+ \def\@@bibpages#1--#2\@nil{%
+   \ifx\\#2\relax\@@@page{#1}\else
+   \@@@pages{#1}{#2}\fi}
+ \else
+ \def\bibpages#1{#1}
+\fi
+
+\def\bibauthor#1{#1}
+
+\endinput
+
+%%
+%% End of package 'numcompress.sty'
+%%