--- a/.hgignore	Wed Apr 27 16:25:32 2011 +0200
+++ b/.hgignore	Wed Apr 27 16:25:54 2011 +0200
@@ -3,15 +3,17 @@
 ^java/
 ^java64/
 ^work/
-.metadata/
+\.metadata/
 ~$
-.swp$
-.class$
-.log$
-.bak$
-.orig$
-output.txt$
-output.cfg$
+\.swp$
+\.class$
+\.log$
+\.bak$
+\.aux$
+^doc/.*/dot_temp_
+\.orig$
+output\.txt$
+output\.cfg$
 /nbproject/private/
 ^scratch/
 ^src/share/tools/hsdis/build/

Binary file doc/design/graal_compiler.pdf has changed

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/graal_compiler.tex	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,46 @@
+\documentclass[twocolumn]{svjour3}
+\usepackage[pdftex]{graphicx}
+\usepackage{environ}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage[english]{babel}
+\usepackage[utf8]{inputenc} 
+\usepackage{lmodern}
+\usepackage[T1]{fontenc}
+\usepackage{color}
+
+\input{graphdrawing}
+
+\renewcommand*\descriptionlabel[1]{\hspace\labelsep\normalfont\bf #1}
+
+\newcommand{\Sa}{{\Large$^*$}}
+\newcommand{\Sb}{{\Large$^\dag$}}
+\newcommand{\Sc}{{\Large$^\S$}}
+
+\smartqed  % flush right qed marks, e.g. at end of proof
+
+\journalname{Graal Compiler Design}
+\def\makeheadbox{{%
+\hbox to0pt{\vbox{\baselineskip=10dd\hrule\hbox
+to\hsize{\vrule\kern3pt\vbox{\kern3pt
+\hbox{\bfseries The Graal Compiler - Design and Strategy}
+\kern3pt}\hfil\kern3pt\vrule}\hrule}%
+\hss}}}
+
+\begin{document}
+
+\author{Thomas Würthinger \Sa, Lukas Stadler \Sc, Gilles Duboscq \Sa}
+\institute{\Sa Oracle, \Sc Johannes Kepler University, Linz}
+
+\date{Created: \today}
+
+\title{The Graal Compiler}
+\subtitle{Design and Strategy \\ \textcolor{red}{work in progress}}
+
+\maketitle
+
+\input{graal_compiler_org}
+\input{graal_compiler_design}
+\input{graal_compiler_aux}
+
+\end{document}

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/graal_compiler_aux.tex	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,24 @@
+\section{Graphical Representation}
+The graphs in this document use the following node layout:
+
+\begin{digraphenv}{scale=0.5}{layout01}
+\node{node1}{nop}
+\nodebi{node2}{+}
+\nodetri{node3}{phi}
+\nodesplit{node4}{if}
+\end{digraphenv}
+
+Red arrows always represents control dependencies, while black arrows represent data dependencies:
+
+\begin{digraphenv}{scale=0.5}{layout1}
+\node{a}{a}
+\node{b}{b}
+\nodesplit{if}{if}
+\node{nop}{nop}
+\nodebi{add}{+}
+\controllabel{if:succ1}{nop}
+\controllabel{if:succ2}{add}
+\datalabel{add:in1}{a}
+\datalabel{add:in2}{b}
+\end{digraphenv}
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/graal_compiler_design.tex	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,57 @@
+\section{Nodes and Graphs}
+The most important aspect of a compiler is the data structure that holds information about an executable piece of code, called \emph{intermediate representation}~(IR).
+The IR used in the Graal Compiler (simply refered to as \emph{the compiler} in the rest of this document) was designed in such a way as to allow for extensive optimizations, easy traversal, compact storage and efficient processing.
+
+\subsection{The Node Data Structure}
+\begin{itemize}
+    \item Each node is always associated with a graph.
+    \item Each node has an immutable id which is unique within its associated graph.
+    \item Nodes represent either operations on values or control flow operations.
+    \item Nodes can have a data dependency, which means that one node requires the result of some other node as its input. The fact that the result of the first node needs to be computed before the second node can be executed introduces a partial order to the set of nodes.
+    \item Nodes can have a control flow dependency, which means that the execution of one node depends on some other node. This includes conditional execution, memory access serialization and other reasons, and again introduces a partial order to the set of nodes.
+    \item Nodes can only have data and control dependencies to nodes which belong to the same graph.
+    \item Control dependencies and data dependencies each represent a \emph{directed acyclic graph} (DAG) on the same set of nodes. This means that data dependencies always point upwards, and control dependencies always point downwards. Situations that are normally incurr cycles (like loops) are represented by special nodes (like LoopEnd).
+    \item Ordering between nodes is specified only to the extent which is required to correctly express the semantics of a given program. Some compilers (notably the HotSpot client compiler) always maintain a complete order for all nodes (called \emph{scheduling}), which impedes advanced optimizations. For algorithms that require a fixed ordering of nodes, a temporary schedule can always be generated.
+    \item Both data and control dependencies can be traversed in both directions, so that each node can be traversed in four directions:
+    \begin{itemize}
+        \item \emph{inputs} are all nodes that this node has data dependencies on.
+        \item \emph{usages} are all nodes that have data dependencies on this node, this is regarded as the inverse of inputs.
+        \item \emph{successors} are all nodes that have a control dependency on this node.
+        \item \emph{predecessors} are all nodes that this node has control dependencies on, this is regarded as the inverse of successors.
+    \end{itemize}
+    \item Only inputs and successors can be changed, and changes to them will update the usages and predecessors.
+    \item The Node class needs to provide facilities for subclasses to perform actions upon cloning, dependency changes, etc.
+    \item Nodes cannot be reassigned to another graph, they are cloned instead
+\end{itemize}
+
+\subsection{The Graph Data Structure}
+\begin{itemize}
+    \item A graph deals out ids for new nodes and can be queried for the node corresponding to a given id.
+    \item Graphs can manage side data structures, which will be automatically invalidated and lazily recomputed whenever the graph changes. Examples for side data structures are dominator trees and temporary schedules. These side data structures will usually be understood by more than one optimization.
+    \item Graphs are 
+\end{itemize}
+
+\section{Frame States}
+Frame states capture the state of the program, in terms of the source representation (e.g., Java state: local variables, expressions, ...).
+Whenever a safepoint is reached or the a deoptimization is needed a valid frame state needs to be available.
+A frame state is valid as long as the program performs only actions that can safely be reexecuted (e.g., operations on local variables, etc.).
+Thus, frame states need only be generated for bytecodes that can not be reexecuted: putfield, astore, invoke, monitorenter/exit, ...
+
+Within the node graph a frame state is represented as a node that is fixed between the node that caused it to be generated (data dependency) and the node that will invalidate it (control dependency).
+
+Deopmization nodes are not fixed to a certain frame state node, they can move around freely and will always use the correct frame state.
+At some point during the compilation deoptimization nodes need to be fixed, which means that appropriate data and control dependencies will be inserted so that it can not move outside the scope of the associated frame state.
+This will generate deoptimization-free zones that can be targeted by the most aggressive optimizations.
+
+Frame states should be represented using a delta-encoding.
+This will make them significantly smaller and will make inlining, etc. much easier.
+In later compilation phases unnecessary frame states might be removed, using a mark-and-merge algorithm.
+
+
+
+\section{Graph Building}
+\begin{itemize}
+    \item The graph built by the initial parser (called \emph{GraphBuilder}) should be as close to the source representation (bytecode, ...) as possible.
+    \item All nodes should be able to immediately lower themselves to a machine-level representation. This allows for easier compiler development, and also leads to a compiler that is very flexible in the amount of optimizations it performs (e.g. recompilation of methods with more aggressive optimizations).
+    \item 
+\end{itemize}

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/graal_compiler_org.tex	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,34 @@
+\abstract{The basic motivation of graal is to show the advantage, both in terms of development effort and runtime speed, a compiler written in Java can deliver to a C++-based virtual machine.
+This document contains information about the proposed structure and design of the Graal Compiler, which is part of the Maxine project.}
+
+\section{Project Source Structure}
+In order to have clear interfaces between the different parts of the compiler, the code will be divided into the following source code projects:
+\begin{description}
+    \item[Graph] contains the abstract node implementation, the graph implementation and all the associated tools and auxiliary classes.
+    \item[Nodes] contains the node implementations, ranging from high-level to machine-level nodes.
+    \item[GraphBuilder] contains helpers for building graphs from java bytecodes and other source representations.
+    \item[Assembler] contains the assembler classes that are used to generate the compiled code of methods and stubs.
+    \item[Optimizations] contains all the optimizations, along with different optimization plans.
+    \item[GraalCompiler] contains the compiler, including:
+        \begin{itemize}
+            \item Handling of compilation phases.
+            \item Compilation-related data structures.
+            \item Implementation of the \emph{compiler interface} (CI).
+            \item Register allocation.
+            \item Machine code creation, including debug info.
+            \item Debug output and compilation observation.
+            \item Compiler options management.
+        \end{itemize}
+\end{description}
+
+\section{Initial Steps}
+\begin{itemize}
+    \item Restructuring of the project to include the compiler and the modified HotSpot code within one repository. The CRI project will remain in the Maxine repository, because it will remain mostly unchanged.
+    \item Stripping optimizations from the existing compiler, they will be reimplemented later on using the new infrastructure.
+    \item Creating Node and Graph classes, along with the necessary auxiliary classes.
+    \item Writing documentation on the design of the compiler.
+    \item Use the Node class as the superclass of the existing Value class.
+    \item Identify (and later: remove) extended bytecodes.
+    \item Implement the new frame state concept.
+    \item Remove LIR - in the long run there should only be one IR, which will be continually lowered until only nodes that can be translated into machine code remain.
+\end{itemize}

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/graphdrawing.tex	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,84 @@
+
+% graph drawing
+\newcommand{\digraph}[3][scale=1]{ 
+  \newwrite\dotfile 
+  \immediate\openout\dotfile=dot_temp_#2.dot 
+  \immediate\write\dotfile{digraph dot_temp_#2 {\string#3}} 
+  \immediate\closeout\dotfile
+  \immediate\write18{bash -c "dot -Tpdf dot_temp_#2.dot > dot_temp_#2.pdf"}  
+  \IfFileExists{dot_temp_#2.pdf}
+  % the pdf exists: include it 
+  { \includegraphics[#1]{dot_temp_#2} } 
+  % the pdf was not created - show a hint
+  { \fbox{ \begin{tabular}{l} 
+        The file \texttt{dot_temp_#2.pdf} hasn't been created from 
+        \texttt{dot_temp_#2.dot} yet. \\
+        We attempted to create it with:\\
+        `\texttt{dot -Tpdf dot_temp_#2.dot > dot_temp_#2.pdf}' \\
+        but that seems not to have worked. You need to execute `\texttt{pdflatex}' with \\
+        the `\texttt{-shell-escape} option.
+      \end{tabular}} 
+  } 
+}
+
+\NewEnviron{digraphenv}[2]{\digraph[#1]{#2}{ margin=0; pad=0;  \BODY }}
+
+\newcommand{\control}[2]{#1:successors:s -> #2:predecessors:n [color=red];}
+\newcommand{\controllabel}[2]{#1 -> #2:predecessors:n [color=red];}
+\newcommand{\data}[2]{#2:usages:s -> #1:inputs [color=black,dir=back];}
+\newcommand{\datalabel}[2]{#2:usages:s -> #1:n [color=black,dir=back];}
+
+\newcommand{\genericnodestart}[1]{#1 [shape=plaintext, label=< <TABLE BORDER="0" CELLSPACING="0"><TR><TD CELLPADDING="0"><TABLE BORDER="0" CELLSPACING="2" CELLPADDING="0"><TR><TD WIDTH="15" HEIGHT="5" PORT="predecessors" BGCOLOR="rosybrown1"></TD></TR></TABLE></TD><TD COLSPAN="2" CELLPADDING="0" ALIGN="RIGHT"><TABLE BORDER="0" CELLSPACING="2" CELLPADDING="0"><TR>}
+\newcommand{\genericnodeend}[0]{</TR></TABLE></TD><TD CELLPADDING="0"><TABLE BORDER="0" CELLSPACING="2" CELLPADDING="0"><TR><TD WIDTH="15" HEIGHT="5" PORT="usages" BGCOLOR="lightgrey"></TD></TR></TABLE></TD></TR></TABLE>>]}
+\newcommand{\portinput}[1]{<TD WIDTH="15" HEIGHT="5" PORT="#1" BGCOLOR="lightgrey"></TD>}
+\newcommand{\portsuccessor}[1]{<TD WIDTH="15" HEIGHT="5" PORT="#1" BGCOLOR="rosybrown1"></TD>}
+\newcommand{\portempty}[0]{<TD WIDTH="15" HEIGHT="5"></TD>}
+\newcommand{\genericnodelabel}[1]{</TR></TABLE></TD></TR><TR><TD BORDER="1" COLSPAN="3">#1</TD></TR><TR><TD COLSPAN="2" CELLPADDING="0" ALIGN="RIGHT"><TABLE BORDER="0" CELLSPACING="2" CELLPADDING="0"><TR>}
+
+\newcommand{\node}[2]{\genericnodestart{#1} \portempty \portinput{inputs} \genericnodelabel{#2} \portsuccessor{successors} \portempty \genericnodeend }
+\newcommand{\nodebi}[2]{\genericnodestart{#1} \portinput{in1} \portinput{in2} \genericnodelabel{#2} \portsuccessor{successors} \portempty \genericnodeend }
+\newcommand{\nodetri}[2]{\genericnodestart{#1} \portinput{in1} \portinput{in2} \portinput{in3} \genericnodelabel{#2} \portsuccessor{successors} \portempty \portempty \genericnodeend }
+\newcommand{\nodesplit}[2]{\genericnodestart{#1} \portempty \portinput{inputs} \genericnodelabel{#2} \portsuccessor{succ1} \portsuccessor{succ2} \genericnodeend }
+
+%%%%%%%%%%%%%% example:
+
+% \begin{digraphenv}{scale=0.5}{MyGraph}
+% \node{start}{start}
+% \node{end}{end}
+% % input projections
+% \node{a}{proj:a}
+% \node{b}{proj:b}
+% \data{a}{start}
+% \data{b}{start}
+% % if
+% \nodebi{cmp1}{&lt;}
+% \datalabel{cmp1:in1}{a}
+% \datalabel{cmp1:in2}{b}
+% \nodesplit{if}{if}
+% \data{if}{cmp1}
+% \control{start}{if}
+% % branches
+% \nodebi{add1}{+}
+% \datalabel{add1:in1}{a}
+% \datalabel{add1:in2}{b}
+% \nodebi{sub1}{-}
+% \datalabel{sub1:in1}{a}
+% \datalabel{sub1:in2}{b}
+% \controllabel{if:succ1}{add1}
+% \controllabel{if:succ2}{sub1}
+% % merge
+% \nodebi{merge}{merge}
+% \control{add1}{merge}
+% \control{sub1}{merge}
+% % phi
+% \nodebi{phi1}{phi}
+% \datalabel{phi1:in1}{add1}
+% \datalabel{phi1:in2}{sub1}
+% % ret
+% \node{ret}{ret}
+% \data{ret}{phi1}
+% \control{merge}{ret}
+% \control{ret}{end}
+% \end{digraphenv}
+
+%%%%%%%%%%%%%%%

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/svglov3.clo	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,101 @@
+% SVJour3 DOCUMENT CLASS OPTION SVGLOV3 -- for standardised journals
+%
+% This is an enhancement for the LaTeX
+% SVJour3 document class for Springer journals
+%
+%%
+%%
+%% \CharacterTable
+%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%%   Digits        \0\1\2\3\4\5\6\7\8\9
+%%   Exclamation   \!     Double quote  \"     Hash (number) \#
+%%   Dollar        \$     Percent       \%     Ampersand     \&
+%%   Acute accent  \'     Left paren    \(     Right paren   \)
+%%   Asterisk      \*     Plus          \+     Comma         \,
+%%   Minus         \-     Point         \.     Solidus       \/
+%%   Colon         \:     Semicolon     \;     Less than     \<
+%%   Equals        \=     Greater than  \>     Question mark \?
+%%   Commercial at \@     Left bracket  \[     Backslash     \\
+%%   Right bracket \]     Circumflex    \^     Underscore    \_
+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
+%%   Right brace   \}     Tilde         \~}
+\ProvidesFile{svglov3.clo}
+              [2006/02/03 v3.1
+      style option for standardised journals]
+\typeout{SVJour Class option: svglov3.clo for standardised journals}
+\def\validfor{svjour3}
+\ExecuteOptions{final,10pt,runningheads}
+% No size changing allowed, hence a "copy" of size10.clo is included
+\renewcommand\normalsize{%
+\if@twocolumn
+   \@setfontsize\normalsize\@xpt{12.5pt}%
+\else
+   \if@smallext
+      \@setfontsize\normalsize\@xpt\@xiipt
+   \else
+      \@setfontsize\normalsize{9.5pt}{11.5pt}%
+   \fi
+\fi
+   \abovedisplayskip=3 mm plus6pt minus 4pt
+   \belowdisplayskip=3 mm plus6pt minus 4pt
+   \abovedisplayshortskip=0.0 mm plus6pt
+   \belowdisplayshortskip=2 mm plus4pt minus 4pt
+   \let\@listi\@listI}
+\normalsize
+\newcommand\small{%
+\if@twocolumn
+   \@setfontsize\small{8.5pt}\@xpt
+\else
+   \if@smallext
+      \@setfontsize\small\@viiipt{9.5pt}%
+   \else
+      \@setfontsize\small\@viiipt{9.25pt}%
+   \fi
+\fi
+   \abovedisplayskip 8.5\p@ \@plus3\p@ \@minus4\p@
+   \abovedisplayshortskip \z@ \@plus2\p@
+   \belowdisplayshortskip 4\p@ \@plus2\p@ \@minus2\p@
+   \def\@listi{\leftmargin\leftmargini
+               \parsep 0\p@ \@plus1\p@ \@minus\p@
+               \topsep 4\p@ \@plus2\p@ \@minus4\p@
+               \itemsep0\p@}%
+   \belowdisplayskip \abovedisplayskip
+}
+\let\footnotesize\small
+\newcommand\scriptsize{\@setfontsize\scriptsize\@viipt\@viiipt}
+\newcommand\tiny{\@setfontsize\tiny\@vpt\@vipt}
+\if@twocolumn
+   \newcommand\large{\@setfontsize\large\@xiipt\@xivpt}
+   \newcommand\LARGE{\@setfontsize\LARGE{16pt}{18pt}}
+\else
+   \newcommand\large{\@setfontsize\large\@xipt\@xiipt}
+   \newcommand\LARGE{\@setfontsize\LARGE{13pt}{15pt}}
+\fi
+\newcommand\Large{\@setfontsize\Large\@xivpt{16dd}}
+\newcommand\huge{\@setfontsize\huge\@xxpt{25}}
+\newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}}
+%
+\def\runheadhook{\rlap{\smash{\lower6.5pt\hbox to\textwidth{\hrulefill}}}}
+\if@twocolumn
+\setlength{\textwidth}{17.4cm}
+\setlength{\textheight}{234mm}
+\AtEndOfClass{\setlength\columnsep{6mm}}
+\else
+   \if@smallext
+      \setlength{\textwidth}{11.9cm}
+      \setlength{\textheight}{19.4cm}
+   \else
+      \setlength{\textwidth}{12.2cm}
+      \setlength{\textheight}{19.8cm}
+   \fi
+\fi
+%
+\AtBeginDocument{%
+\@ifundefined{@journalname}
+ {\typeout{Unknown journal: specify \string\journalname\string{%
+<name of your journal>\string} in preambel^^J}}{}}
+%
+\endinput
+%%
+%% End of file `svglov3.clo'.

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/design/svjour3.cls	Wed Apr 27 16:25:54 2011 +0200
@@ -0,0 +1,1431 @@
+% SVJour3 DOCUMENT CLASS -- version 3.2 for LaTeX2e
+%
+% LaTeX document class for Springer journals
+%
+%%
+%%
+%% \CharacterTable
+%%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%%   Digits        \0\1\2\3\4\5\6\7\8\9
+%%   Exclamation   \!     Double quote  \"     Hash (number) \#
+%%   Dollar        \$     Percent       \%     Ampersand     \&
+%%   Acute accent  \'     Left paren    \(     Right paren   \)
+%%   Asterisk      \*     Plus          \+     Comma         \,
+%%   Minus         \-     Point         \.     Solidus       \/
+%%   Colon         \:     Semicolon     \;     Less than     \<
+%%   Equals        \=     Greater than  \>     Question mark \?
+%%   Commercial at \@     Left bracket  \[     Backslash     \\
+%%   Right bracket \]     Circumflex    \^     Underscore    \_
+%%   Grave accent  \`     Left brace    \{     Vertical bar  \|
+%%   Right brace   \}     Tilde         \~}
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]
+\ProvidesClass{svjour3}[2007/05/08 v3.2
+^^JLaTeX document class for Springer journals]
+\newcommand\@ptsize{}
+\newif\if@restonecol
+\newif\if@titlepage
+\@titlepagefalse
+\DeclareOption{a4paper}
+   {\setlength\paperheight {297mm}%
+    \setlength\paperwidth  {210mm}}
+\DeclareOption{10pt}{\renewcommand\@ptsize{0}}
+\DeclareOption{twoside}{\@twosidetrue  \@mparswitchtrue}
+\DeclareOption{draft}{\setlength\overfullrule{5pt}}
+\DeclareOption{final}{\setlength\overfullrule{0pt}}
+\DeclareOption{fleqn}{\input{fleqn.clo}\AtBeginDocument{\mathindent\z@}%
+\AtBeginDocument{\@ifpackageloaded{amsmath}{\@mathmargin\z@}{}}%
+\PassOptionsToPackage{fleqn}{amsmath}}
+%%%
+\DeclareOption{onecolumn}{}
+\DeclareOption{smallcondensed}{}
+\DeclareOption{twocolumn}{\@twocolumntrue\ExecuteOptions{fleqn}}
+\newif\if@smallext\@smallextfalse
+\DeclareOption{smallextended}{\@smallexttrue}
+\let\if@mathematic\iftrue
+\let\if@numbook\iffalse
+\DeclareOption{numbook}{\let\if@envcntsect\iftrue
+  \AtEndOfPackage{%
+   \renewcommand\thefigure{\thesection.\@arabic\c@figure}%
+   \renewcommand\thetable{\thesection.\@arabic\c@table}%
+   \renewcommand\theequation{\thesection.\@arabic\c@equation}%
+   \@addtoreset{figure}{section}%
+   \@addtoreset{table}{section}%
+   \@addtoreset{equation}{section}%
+  }%
+}
+\DeclareOption{openbib}{%
+  \AtEndOfPackage{%
+   \renewcommand\@openbib@code{%
+      \advance\leftmargin\bibindent
+      \itemindent -\bibindent
+      \listparindent \itemindent
+      \parsep \z@
+      }%
+   \renewcommand\newblock{\par}}%
+}
+\DeclareOption{natbib}{%
+\AtEndOfClass{\RequirePackage{natbib}%
+% Changing some parameters of NATBIB
+\setlength{\bibhang}{\parindent}%
+%\setlength{\bibsep}{0mm}%
+\let\bibfont=\small
+\def\@biblabel#1{#1.}%
+\newcommand{\etal}{et al.}%
+\bibpunct{(}{)}{;}{a}{}{,}}}
+%
+\let\if@runhead\iffalse
+\DeclareOption{runningheads}{\let\if@runhead\iftrue}
+\let\if@smartrunh\iffalse
+\DeclareOption{smartrunhead}{\let\if@smartrunh\iftrue}
+\DeclareOption{nosmartrunhead}{\let\if@smartrunh\iffalse}
+\let\if@envcntreset\iffalse
+\DeclareOption{envcountreset}{\let\if@envcntreset\iftrue}
+\let\if@envcntsame\iffalse
+\DeclareOption{envcountsame}{\let\if@envcntsame\iftrue}
+\let\if@envcntsect\iffalse
+\DeclareOption{envcountsect}{\let\if@envcntsect\iftrue}
+\let\if@referee\iffalse
+\DeclareOption{referee}{\let\if@referee\iftrue}
+\def\makereferee{\def\baselinestretch{2}}
+\let\if@instindent\iffalse
+\DeclareOption{instindent}{\let\if@instindent\iftrue}
+\let\if@smartand\iffalse
+\DeclareOption{smartand}{\let\if@smartand\iftrue}
+\let\if@spthms\iftrue
+\DeclareOption{nospthms}{\let\if@spthms\iffalse}
+%
+% language and babel dependencies
+\DeclareOption{deutsch}{\def\switcht@@therlang{\switcht@deutsch}%
+\gdef\svlanginfo{\typeout{Man spricht deutsch.}\global\let\svlanginfo\relax}}
+\DeclareOption{francais}{\def\switcht@@therlang{\switcht@francais}%
+\gdef\svlanginfo{\typeout{On parle francais.}\global\let\svlanginfo\relax}}
+\let\switcht@@therlang\relax
+\let\svlanginfo\relax
+%
+\AtBeginDocument{\@ifpackageloaded{babel}{%
+\@ifundefined{extrasenglish}{}{\addto\extrasenglish{\switcht@albion}}%
+\@ifundefined{extrasUKenglish}{}{\addto\extrasUKenglish{\switcht@albion}}%
+\@ifundefined{extrasfrenchb}{}{\addto\extrasfrenchb{\switcht@francais}}%
+\@ifundefined{extrasgerman}{}{\addto\extrasgerman{\switcht@deutsch}}%
+\@ifundefined{extrasngerman}{}{\addto\extrasngerman{\switcht@deutsch}}%
+}{\switcht@@therlang}%
+}
+%
+\def\ClassInfoNoLine#1#2{%
+   \ClassInfo{#1}{#2\@gobble}%
+}
+\let\journalopt\@empty
+\DeclareOption*{%
+\InputIfFileExists{sv\CurrentOption.clo}{%
+\global\let\journalopt\CurrentOption}{%
+\ClassWarning{Springer-SVJour3}{Specified option or subpackage
+"\CurrentOption" not found -}\OptionNotUsed}}
+\ExecuteOptions{a4paper,twoside,10pt,instindent}
+\ProcessOptions
+%
+\ifx\journalopt\@empty\relax
+\ClassInfoNoLine{Springer-SVJour3}{extra/valid Springer sub-package (-> *.clo)
+\MessageBreak not found in option list of \string\documentclass
+\MessageBreak  - autoactivating "global" style}{}
+\input{svglov3.clo}
+\else
+\@ifundefined{validfor}{%
+\ClassError{Springer-SVJour3}{Possible option clash for sub-package
+\MessageBreak "sv\journalopt.clo" - option file not valid
+\MessageBreak for this class}{Perhaps you used an option of the old
+Springer class SVJour!}
+}{}
+\fi
+%
+\if@smartrunh\AtEndDocument{\islastpageeven\getlastpagenumber}\fi
+%
+\newcommand{\twocoltest}[2]{\if@twocolumn\def\@gtempa{#2}\else\def\@gtempa{#1}\fi
+\@gtempa\makeatother}
+\newcommand{\columncase}{\makeatletter\twocoltest}
+%
+\DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}
+\DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}
+\DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}
+\DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}
+\DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}
+\DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}
+\DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}
+\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}
+\DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}
+\DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}
+\DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}
+%
+\setlength\parindent{15\p@}
+\setlength\smallskipamount{3\p@ \@plus 1\p@ \@minus 1\p@}
+\setlength\medskipamount{6\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\bigskipamount{12\p@ \@plus 4\p@ \@minus 4\p@}
+\setlength\headheight{12\p@}
+\setlength\headsep   {14.50dd}
+\setlength\topskip   {10\p@}
+\setlength\footskip{30\p@}
+\setlength\maxdepth{.5\topskip}
+%
+\@settopoint\textwidth
+\setlength\marginparsep {10\p@}
+\setlength\marginparpush{5\p@}
+\setlength\topmargin{-10pt}
+\if@twocolumn
+   \setlength\oddsidemargin {-30\p@}
+   \setlength\evensidemargin{-30\p@}
+\else
+   \setlength\oddsidemargin {\z@}
+   \setlength\evensidemargin{\z@}
+\fi
+\setlength\marginparwidth  {48\p@}
+\setlength\footnotesep{8\p@}
+\setlength{\skip\footins}{9\p@ \@plus 4\p@ \@minus 2\p@}
+\setlength\floatsep    {12\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\textfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@}
+\setlength\intextsep   {20\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\dblfloatsep    {12\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\dbltextfloatsep{20\p@ \@plus 2\p@ \@minus 4\p@}
+\setlength\@fptop{0\p@}
+\setlength\@fpsep{12\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\@fpbot{0\p@ \@plus 1fil}
+\setlength\@dblfptop{0\p@}
+\setlength\@dblfpsep{12\p@ \@plus 2\p@ \@minus 2\p@}
+\setlength\@dblfpbot{0\p@ \@plus 1fil}
+\setlength\partopsep{2\p@ \@plus 1\p@ \@minus 1\p@}
+\def\@listi{\leftmargin\leftmargini
+            \parsep \z@
+            \topsep 6\p@ \@plus2\p@ \@minus4\p@
+            \itemsep\parsep}
+\let\@listI\@listi
+\@listi
+\def\@listii {\leftmargin\leftmarginii
+              \labelwidth\leftmarginii
+              \advance\labelwidth-\labelsep
+              \topsep    \z@
+              \parsep    \topsep
+              \itemsep   \parsep}
+\def\@listiii{\leftmargin\leftmarginiii
+              \labelwidth\leftmarginiii
+              \advance\labelwidth-\labelsep
+              \topsep    \z@
+              \parsep    \topsep
+              \itemsep   \parsep}
+\def\@listiv {\leftmargin\leftmarginiv
+              \labelwidth\leftmarginiv
+              \advance\labelwidth-\labelsep}
+\def\@listv  {\leftmargin\leftmarginv
+              \labelwidth\leftmarginv
+              \advance\labelwidth-\labelsep}
+\def\@listvi {\leftmargin\leftmarginvi
+              \labelwidth\leftmarginvi
+              \advance\labelwidth-\labelsep}
+%
+\setlength\lineskip{1\p@}
+\setlength\normallineskip{1\p@}
+\renewcommand\baselinestretch{}
+\setlength\parskip{0\p@ \@plus \p@}
+\@lowpenalty   51
+\@medpenalty  151
+\@highpenalty 301
+\setcounter{topnumber}{4}
+\renewcommand\topfraction{.9}
+\setcounter{bottomnumber}{2}
+\renewcommand\bottomfraction{.7}
+\setcounter{totalnumber}{6}
+\renewcommand\textfraction{.1}
+\renewcommand\floatpagefraction{.85}
+\setcounter{dbltopnumber}{3}
+\renewcommand\dbltopfraction{.85}
+\renewcommand\dblfloatpagefraction{.85}
+\def\ps@headings{%
+    \let\@oddfoot\@empty\let\@evenfoot\@empty
+    \def\@evenhead{\small\csname runheadhook\endcsname
+    \rlap{\thepage}\hfil\leftmark\unskip}%
+    \def\@oddhead{\small\csname runheadhook\endcsname
+    \ignorespaces\rightmark\hfil\llap{\thepage}}%
+    \let\@mkboth\@gobbletwo
+    \let\sectionmark\@gobble
+    \let\subsectionmark\@gobble
+    }
+% make indentations changeable
+\def\setitemindent#1{\settowidth{\labelwidth}{#1}%
+        \leftmargini\labelwidth
+        \advance\leftmargini\labelsep
+   \def\@listi{\leftmargin\leftmargini
+        \labelwidth\leftmargini\advance\labelwidth by -\labelsep
+        \parsep=\parskip
+        \topsep=\medskipamount
+        \itemsep=\parskip \advance\itemsep by -\parsep}}
+\def\setitemitemindent#1{\settowidth{\labelwidth}{#1}%
+        \leftmarginii\labelwidth
+        \advance\leftmarginii\labelsep
+\def\@listii{\leftmargin\leftmarginii
+        \labelwidth\leftmarginii\advance\labelwidth by -\labelsep
+        \parsep=\parskip
+        \topsep=\z@
+        \itemsep=\parskip \advance\itemsep by -\parsep}}
+% labels of description
+\def\descriptionlabel#1{\hspace\labelsep #1\hfil}
+% adjusted environment "description"
+% if an optional parameter (at the first two levels of lists)
+% is present, its width is considered to be the widest mark
+% throughout the current list.
+\def\description{\@ifnextchar[{\@describe}{\list{}{\labelwidth\z@
+          \itemindent-\leftmargin \let\makelabel\descriptionlabel}}}
+\let\enddescription\endlist
+%
+\def\describelabel#1{#1\hfil}
+\def\@describe[#1]{\relax\ifnum\@listdepth=0
+\setitemindent{#1}\else\ifnum\@listdepth=1
+\setitemitemindent{#1}\fi\fi
+\list{--}{\let\makelabel\describelabel}}
+%
+\newdimen\logodepth
+\logodepth=1.2cm
+\newdimen\headerboxheight
+\headerboxheight=163pt % 18 10.5dd-lines - 2\baselineskip
+\if@twocolumn\else\advance\headerboxheight by-14.5mm\fi
+\newdimen\betweenumberspace          % dimension for space between
+\betweenumberspace=3.33pt            % number and text of titles.
+\newdimen\aftertext                  % dimension for space after
+\aftertext=5pt                       % text of title.
+\newdimen\headlineindent             % dimension for space between
+\headlineindent=1.166cm              % number and text of headings.
+\if@mathematic
+   \def\runinend{} % \enspace}
+   \def\floatcounterend{\enspace}
+   \def\sectcounterend{}
+\else
+   \def\runinend{.}
+   \def\floatcounterend{.\ }
+   \def\sectcounterend{.}
+\fi
+\def\email#1{\emailname: #1}
+\def\keywords#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm
+\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$
+}\noindent\keywordname\enspace\ignorespaces#1\par}}
+%
+\def\subclassname{{\bfseries Mathematics Subject Classification
+(2000)}\enspace}
+\def\subclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm
+\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$
+}\noindent\subclassname\ignorespaces#1\par}}
+%
+\def\PACSname{\textbf{PACS}\enspace}
+\def\PACS#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm
+\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$
+}\noindent\PACSname\ignorespaces#1\par}}
+%
+\def\CRclassname{{\bfseries CR Subject Classification}\enspace}
+\def\CRclass#1{\par\addvspace\medskipamount{\rightskip=0pt plus1cm
+\def\and{\ifhmode\unskip\nobreak\fi\ $\cdot$
+}\noindent\CRclassname\ignorespaces#1\par}}
+%
+\def\ESMname{\textbf{Electronic Supplementary Material}\enspace}
+\def\ESM#1{\par\addvspace\medskipamount
+\noindent\ESMname\ignorespaces#1\par}
+%
+\newcounter{inst}
+\newcounter{auth}
+\def\authdepth{2}
+\newdimen\instindent
+\newbox\authrun
+\newtoks\authorrunning
+\newbox\titrun
+\newtoks\titlerunning
+\def\authorfont{\bfseries}
+
+\def\combirunning#1{\gdef\@combi{#1}}
+\def\@combi{}
+\newbox\combirun
+%
+\def\ps@last{\def\@evenhead{\small\rlap{\thepage}\hfil
+\lastevenhead}}
+\newcounter{lastpage}
+\def\islastpageeven{\@ifundefined{lastpagenumber}
+{\setcounter{lastpage}{0}}{\setcounter{lastpage}{\lastpagenumber}}
+\ifnum\value{lastpage}>0
+   \ifodd\value{lastpage}%
+   \else
+      \if@smartrunh
+         \thispagestyle{last}%
+      \fi
+   \fi
+\fi}
+\def\getlastpagenumber{\clearpage
+\addtocounter{page}{-1}%
+   \immediate\write\@auxout{\string\gdef\string\lastpagenumber{\thepage}}%
+   \immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}}}%
+   \addtocounter{page}{1}}
+
+\def\journalname#1{\gdef\@journalname{#1}}
+
+\def\dedication#1{\gdef\@dedic{#1}}
+\def\@dedic{}
+
+\let\@date\undefined
+\def\notused{~}
+
+\def\institute#1{\gdef\@institute{#1}}
+
+\def\offprints#1{\begingroup
+\def\protect{\noexpand\protect\noexpand}\xdef\@thanks{\@thanks
+\protect\footnotetext[0]{\unskip\hskip-15pt{\itshape Send offprint requests
+to\/}: \ignorespaces#1}}\endgroup\ignorespaces}
+
+%\def\mail#1{\gdef\@mail{#1}}
+%\def\@mail{}
+
+\def\@thanks{}
+
+\def\@fnsymbol#1{\ifcase#1\or\star\or{\star\star}\or{\star\star\star}%
+   \or \dagger\or \ddagger\or
+   \mathchar "278\or \mathchar "27B\or \|\or **\or \dagger\dagger
+   \or \ddagger\ddagger \else\@ctrerr\fi\relax}
+%
+%\def\invthanks#1{\footnotetext[0]{\kern-\bibindent#1}}
+%
+\def\nothanksmarks{\def\thanks##1{\protected@xdef\@thanks{\@thanks
+        \protect\footnotetext[0]{\kern-\bibindent##1}}}}
+%
+\def\subtitle#1{\gdef\@subtitle{#1}}
+\def\@subtitle{}
+
+\def\headnote#1{\gdef\@headnote{#1}}
+\def\@headnote{}
+
+\def\papertype#1{\gdef\paper@type{\MakeUppercase{#1}}}
+\def\paper@type{}
+
+\def\ch@ckobl#1#2{\@ifundefined{@#1}
+ {\typeout{SVJour3 warning: Missing
+\expandafter\string\csname#1\endcsname}%
+  \csname #1\endcsname{#2}}
+ {}}
+%
+\def\ProcessRunnHead{%
+    \def\\{\unskip\ \ignorespaces}%
+    \def\thanks##1{\unskip{}}%
+    \instindent=\textwidth
+    \advance\instindent by-\headlineindent
+    \if!\the\titlerunning!\else
+      \edef\@title{\the\titlerunning}%
+    \fi
+    \global\setbox\titrun=\hbox{\small\rmfamily\unboldmath\ignorespaces\@title
+                                \unskip}%
+    \ifdim\wd\titrun>\instindent
+       \typeout{^^JSVJour3 Warning: Title too long for running head.}%
+       \typeout{Please supply a shorter form with \string\titlerunning
+                \space prior to \string\maketitle}%
+       \global\setbox\titrun=\hbox{\small\rmfamily
+       Title Suppressed Due to Excessive Length}%
+    \fi
+    \xdef\@title{\copy\titrun}%
+%
+    \if!\the\authorrunning!
+    \else
+      \setcounter{auth}{1}%
+      \edef\@author{\the\authorrunning}%
+    \fi
+    \ifnum\value{inst}>\authdepth
+       \def\stripauthor##1\and##2\endauthor{%
+       \protected@xdef\@author{##1\unskip\unskip\if!##2!\else\ et al.\fi}}%
+       \expandafter\stripauthor\@author\and\endauthor
+    \else
+       \gdef\and{\unskip, \ignorespaces}%
+       {\def\and{\noexpand\protect\noexpand\and}%
+       \protected@xdef\@author{\@author}}
+    \fi
+    \global\setbox\authrun=\hbox{\small\rmfamily\unboldmath\ignorespaces
+                                 \@author\unskip}%
+    \ifdim\wd\authrun>\instindent
+    \typeout{^^JSVJour3 Warning: Author name(s) too long for running head.
+             ^^JPlease supply a shorter form with \string\authorrunning
+             \space prior to \string\maketitle}%
+    \global\setbox\authrun=\hbox{\small\rmfamily Please give a shorter version
+          with: {\tt\string\authorrunning\space and
+             \string\titlerunning\space prior to \string\maketitle}}%
+    \fi
+    \xdef\@author{\copy\authrun}%
+    \markboth{\@author}{\@title}%
+}
+%
+\let\orithanks=\thanks
+\def\thanks#1{\ClassWarning{SVJour3}{\string\thanks\space may only be
+used inside of \string\title, \string\author,\MessageBreak
+and \string\date\space prior to \string\maketitle}}
+%
+\def\maketitle{\par\let\thanks=\orithanks
+\ch@ckobl{journalname}{Noname}
+\ch@ckobl{date}{the date of receipt and acceptance should be inserted
+later}
+\ch@ckobl{title}{A title should be given}
+\ch@ckobl{author}{Name(s) and initial(s) of author(s) should be given}
+\ch@ckobl{institute}{Address(es) of author(s) should be given}
+\begingroup
+%
+    \renewcommand\thefootnote{\@fnsymbol\c@footnote}%
+    \def\@makefnmark{$^{\@thefnmark}$}%
+    \renewcommand\@makefntext[1]{%
+    \noindent
+    \hb@xt@\bibindent{\hss\@makefnmark\enspace}##1\vrule height0pt
+    width0pt depth8pt}
+%
+ \def\lastand{\ifnum\value{inst}=2\relax
+                 \unskip{} \andname\
+              \else
+                 \unskip, \andname\
+              \fi}%
+ \def\and{\stepcounter{auth}\relax
+          \if@smartand
+             \ifnum\value{auth}=\value{inst}%
+                \lastand
+             \else
+                \unskip,
+             \fi
+          \else
+             \unskip,
+          \fi}%
+ \thispagestyle{empty}
+ \ifnum \col@number=\@ne
+   \@maketitle
+ \else
+   \twocolumn[\@maketitle]%
+ \fi
+%
+ \global\@topnum\z@
+ \if!\@thanks!\else
+    \@thanks
+\insert\footins{\vskip-3pt\hrule\@width\if@twocolumn\columnwidth
+\else 38mm\fi\vskip3pt}%
+ \fi
+ {\def\thanks##1{\unskip{}}%
+ \def\iand{\\[5pt]\let\and=\nand}%
+ \def\nand{\ifhmode\unskip\nobreak\fi\ $\cdot$ }%
+ \let\and=\nand
+ \def\at{\\\let\and=\iand}%
+ \footnotetext[0]{\kern-\bibindent
+ \ignorespaces\@institute}\vspace{5dd}}%
+%\if!\@mail!\else
+%   \footnotetext[0]{\kern-\bibindent\mailname\
+%   \ignorespaces\@mail}%
+%\fi
+%
+ \if@runhead
+    \ProcessRunnHead
+ \fi
+%
+ \endgroup
+ \setcounter{footnote}{0}
+ \global\let\thanks\relax
+ \global\let\maketitle\relax
+ \global\let\@maketitle\relax
+ \global\let\@thanks\@empty
+ \global\let\@author\@empty
+ \global\let\@date\@empty
+ \global\let\@title\@empty
+ \global\let\@subtitle\@empty
+ \global\let\title\relax
+ \global\let\author\relax
+ \global\let\date\relax
+ \global\let\and\relax}
+
+\def\makeheadbox{{%
+\hbox to0pt{\vbox{\baselineskip=10dd\hrule\hbox
+to\hsize{\vrule\kern3pt\vbox{\kern3pt
+\hbox{\bfseries\@journalname\ manuscript No.}
+\hbox{(will be inserted by the editor)}
+\kern3pt}\hfil\kern3pt\vrule}\hrule}%
+\hss}}}
+%
+\def\rubric{\setbox0=\hbox{\small\strut}\@tempdima=\ht0\advance
+\@tempdima\dp0\advance\@tempdima2\fboxsep\vrule\@height\@tempdima
+\@width\z@}
+\newdimen\rubricwidth
+%
+\def\@maketitle{\newpage
+\normalfont
+\vbox to0pt{\if@twocolumn\vskip-39pt\else\vskip-49pt\fi
+\nointerlineskip
+\makeheadbox\vss}\nointerlineskip
+\vbox to 0pt{\offinterlineskip\rubricwidth=\columnwidth
+%%%%\vskip-12.5pt          % -12.5pt
+\if@twocolumn\else % one column journal
+   \divide\rubricwidth by144\multiply\rubricwidth by89 % perform golden section
+   \vskip-\topskip
+\fi
+\hrule\@height0.35mm\noindent
+\advance\fboxsep by.25mm
+\global\advance\rubricwidth by0pt
+\rubric
+\vss}\vskip19.5pt    % war 9pt
+%
+\if@twocolumn\else
+ \gdef\footnoterule{%
+  \kern-3\p@
+  \hrule\@width38mm     % \columnwidth  \rubricwidth
+  \kern2.6\p@}
+\fi
+%
+ \setbox\authrun=\vbox\bgroup
+     \if@twocolumn
+        \hrule\@height10.5mm\@width0\p@
+     \else
+        \hrule\@height 2mm\@width0\p@
+     \fi
+     \pretolerance=10000
+     \rightskip=0pt plus 4cm
+    \nothanksmarks
+%   \if!\@headnote!\else
+%     \noindent
+%     {\LARGE\normalfont\itshape\ignorespaces\@headnote\par}\vskip 3.5mm
+%   \fi
+    {\LARGE\bfseries
+     \noindent\ignorespaces
+     \@title \par}\vskip 17pt\relax
+    \if!\@subtitle!\else
+      {\large\bfseries
+      \pretolerance=10000
+      \rightskip=0pt plus 3cm
+      \vskip-12pt
+%     \noindent\ignorespaces\@subtitle \par}\vskip 11.24pt\relax
+      \noindent\ignorespaces\@subtitle \par}\vskip 17pt\relax
+    \fi
+    {\authorfont
+    \setbox0=\vbox{\setcounter{auth}{1}\def\and{\stepcounter{auth} }%
+                   \hfuzz=2\textwidth\def\thanks##1{}\@author}%
+    \setcounter{footnote}{0}%
+    \global\value{inst}=\value{auth}%
+    \setcounter{auth}{1}%
+    \if@twocolumn
+       \rightskip43mm plus 4cm minus 3mm
+    \else % one column journal
+       \rightskip=\linewidth
+       \advance\rightskip by-\rubricwidth
+       \advance\rightskip by0pt plus 4cm minus 3mm
+    \fi
+%
+\def\and{\unskip\nobreak\enskip{\boldmath$\cdot$}\enskip\ignorespaces}%
+    \noindent\ignorespaces\@author\vskip7.23pt}
+%
+    \small
+    \if!\@dedic!\else
+       \par
+       \normalsize\it
+       \addvspace\baselineskip
+       \noindent\@dedic
+    \fi
+ \egroup % end of header box
+ \@tempdima=\headerboxheight
+ \advance\@tempdima by-\ht\authrun
+ \unvbox\authrun
+ \ifdim\@tempdima>0pt
+    \vrule width0pt height\@tempdima\par
+ \fi
+ \noindent{\small\@date\if@twocolumn\vskip 7.2mm\else\vskip 5.2mm\fi}
+ \global\@minipagetrue
+ \global\everypar{\global\@minipagefalse\global\everypar{}}%
+%\vskip22.47pt
+}
+%
+\if@mathematic
+   \def\vec#1{\ensuremath{\mathchoice
+                     {\mbox{\boldmath$\displaystyle\mathbf{#1}$}}
+                     {\mbox{\boldmath$\textstyle\mathbf{#1}$}}
+                     {\mbox{\boldmath$\scriptstyle\mathbf{#1}$}}
+                     {\mbox{\boldmath$\scriptscriptstyle\mathbf{#1}$}}}}
+\else
+   \def\vec#1{\ensuremath{\mathchoice
+                     {\mbox{\boldmath$\displaystyle#1$}}
+                     {\mbox{\boldmath$\textstyle#1$}}
+                     {\mbox{\boldmath$\scriptstyle#1$}}
+                     {\mbox{\boldmath$\scriptscriptstyle#1$}}}}
+\fi
+%
+\def\tens#1{\ensuremath{\mathsf{#1}}}
+%
+\setcounter{secnumdepth}{3}
+\newcounter {section}
+\newcounter {subsection}[section]
+\newcounter {subsubsection}[subsection]
+\newcounter {paragraph}[subsubsection]
+\newcounter {subparagraph}[paragraph]
+\renewcommand\thesection      {\@arabic\c@section}
+\renewcommand\thesubsection   {\thesection.\@arabic\c@subsection}
+\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection}
+\renewcommand\theparagraph    {\thesubsubsection.\@arabic\c@paragraph}
+\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph}
+%
+\def\@hangfrom#1{\setbox\@tempboxa\hbox{#1}%
+      \hangindent \z@\noindent\box\@tempboxa}
+%
+\def\@seccntformat#1{\csname the#1\endcsname\sectcounterend
+\hskip\betweenumberspace}
+%
+% \newif\if@sectrule
+% \if@twocolumn\else\let\@sectruletrue=\relax\fi
+% \if@avier\let\@sectruletrue=\relax\fi
+% \def\makesectrule{\if@sectrule\global\@sectrulefalse\null\vglue-\topskip
+% \hrule\nobreak\parskip=5pt\relax\fi}
+% %
+% \let\makesectruleori=\makesectrule
+% \def\restoresectrule{\global\let\makesectrule=\makesectruleori\global\@sectrulefalse}
+% \def\nosectrule{\let\makesectrule=\restoresectrule}
+%
+\def\@startsection#1#2#3#4#5#6{%
+  \if@noskipsec \leavevmode \fi
+  \par
+  \@tempskipa #4\relax
+  \@afterindenttrue
+  \ifdim \@tempskipa <\z@
+    \@tempskipa -\@tempskipa \@afterindentfalse
+  \fi
+  \if@nobreak
+    \everypar{}%
+  \else
+    \addpenalty\@secpenalty\addvspace\@tempskipa
+  \fi
+% \ifnum#2=1\relax\@sectruletrue\fi
+  \@ifstar
+    {\@ssect{#3}{#4}{#5}{#6}}%
+    {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}}
+%
+\def\@sect#1#2#3#4#5#6[#7]#8{%
+  \ifnum #2>\c@secnumdepth
+    \let\@svsec\@empty
+  \else
+    \refstepcounter{#1}%
+    \protected@edef\@svsec{\@seccntformat{#1}\relax}%
+  \fi
+  \@tempskipa #5\relax
+  \ifdim \@tempskipa>\z@
+    \begingroup
+      #6{% \makesectrule
+        \@hangfrom{\hskip #3\relax\@svsec}%
+          \raggedright
+          \hyphenpenalty \@M%
+          \interlinepenalty \@M #8\@@par}%
+    \endgroup
+    \csname #1mark\endcsname{#7}%
+    \addcontentsline{toc}{#1}{%
+      \ifnum #2>\c@secnumdepth \else
+        \protect\numberline{\csname the#1\endcsname\sectcounterend}%
+      \fi
+      #7}%
+  \else
+    \def\@svsechd{%
+      #6{\hskip #3\relax
+      \@svsec #8\/\hskip\aftertext}%
+      \csname #1mark\endcsname{#7}%
+      \addcontentsline{toc}{#1}{%
+        \ifnum #2>\c@secnumdepth \else
+          \protect\numberline{\csname the#1\endcsname}%
+        \fi
+        #7}}%
+  \fi
+  \@xsect{#5}}
+%
+\def\@ssect#1#2#3#4#5{%
+  \@tempskipa #3\relax
+  \ifdim \@tempskipa>\z@
+    \begingroup
+      #4{% \makesectrule
+        \@hangfrom{\hskip #1}%
+          \interlinepenalty \@M #5\@@par}%
+    \endgroup
+  \else
+    \def\@svsechd{#4{\hskip #1\relax #5}}%
+  \fi
+  \@xsect{#3}}
+
+%
+% measures and setting of sections
+%
+\def\section{\@startsection{section}{1}{\z@}%
+    {-21dd plus-8pt minus-4pt}{10.5dd}
+     {\normalsize\bfseries\boldmath}}
+\def\subsection{\@startsection{subsection}{2}{\z@}%
+    {-21dd plus-8pt minus-4pt}{10.5dd}
+     {\normalsize\upshape}}
+\def\subsubsection{\@startsection{subsubsection}{3}{\z@}%
+    {-13dd plus-8pt minus-4pt}{10.5dd}
+     {\normalsize\itshape}}
+\def\paragraph{\@startsection{paragraph}{4}{\z@}%
+    {-13pt plus-8pt minus-4pt}{\z@}{\normalsize\itshape}}
+
+\setlength\leftmargini  {\parindent}
+\leftmargin  \leftmargini
+\setlength\leftmarginii {\parindent}
+\setlength\leftmarginiii {1.87em}
+\setlength\leftmarginiv  {1.7em}
+\setlength\leftmarginv  {.5em}
+\setlength\leftmarginvi {.5em}
+\setlength  \labelsep  {.5em}
+\setlength  \labelwidth{\leftmargini}
+\addtolength\labelwidth{-\labelsep}
+\@beginparpenalty -\@lowpenalty
+\@endparpenalty   -\@lowpenalty
+\@itempenalty     -\@lowpenalty
+\renewcommand\theenumi{\@arabic\c@enumi}
+\renewcommand\theenumii{\@alph\c@enumii}
+\renewcommand\theenumiii{\@roman\c@enumiii}
+\renewcommand\theenumiv{\@Alph\c@enumiv}
+\newcommand\labelenumi{\theenumi.}
+\newcommand\labelenumii{(\theenumii)}
+\newcommand\labelenumiii{\theenumiii.}
+\newcommand\labelenumiv{\theenumiv.}
+\renewcommand\p@enumii{\theenumi}
+\renewcommand\p@enumiii{\theenumi(\theenumii)}
+\renewcommand\p@enumiv{\p@enumiii\theenumiii}
+\newcommand\labelitemi{\normalfont\bfseries --}
+\newcommand\labelitemii{\normalfont\bfseries --}
+\newcommand\labelitemiii{$\m@th\bullet$}
+\newcommand\labelitemiv{$\m@th\cdot$}
+
+\if@spthms
+% definition of the "\spnewtheorem" command.
+%
+% Usage:
+%
+%     \spnewtheorem{env_nam}{caption}[within]{cap_font}{body_font}
+% or  \spnewtheorem{env_nam}[numbered_like]{caption}{cap_font}{body_font}
+% or  \spnewtheorem*{env_nam}{caption}{cap_font}{body_font}
+%
+% New is "cap_font" and "body_font". It stands for
+% fontdefinition of the caption and the text itself.
+%
+% "\spnewtheorem*" gives a theorem without number.
+%
+% A defined spnewthoerem environment is used as described
+% by Lamport.
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\def\@thmcountersep{}
+\def\@thmcounterend{}
+\newcommand\nocaption{\noexpand\@gobble}
+\newdimen\spthmsep \spthmsep=5pt
+
+\def\spnewtheorem{\@ifstar{\@sthm}{\@Sthm}}
+
+% definition of \spnewtheorem with number
+
+\def\@spnthm#1#2{%
+  \@ifnextchar[{\@spxnthm{#1}{#2}}{\@spynthm{#1}{#2}}}
+\def\@Sthm#1{\@ifnextchar[{\@spothm{#1}}{\@spnthm{#1}}}
+
+\def\@spxnthm#1#2[#3]#4#5{\expandafter\@ifdefinable\csname #1\endcsname
+   {\@definecounter{#1}\@addtoreset{#1}{#3}%
+   \expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand
+     \csname the#3\endcsname \noexpand\@thmcountersep \@thmcounter{#1}}%
+   \expandafter\xdef\csname #1name\endcsname{#2}%
+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#4}{#5}}%
+                              \global\@namedef{end#1}{\@endtheorem}}}
+
+\def\@spynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname
+   {\@definecounter{#1}%
+   \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
+   \expandafter\xdef\csname #1name\endcsname{#2}%
+   \global\@namedef{#1}{\@spthm{#1}{\csname #1name\endcsname}{#3}{#4}}%
+                               \global\@namedef{end#1}{\@endtheorem}}}
+
+\def\@spothm#1[#2]#3#4#5{%
+  \@ifundefined{c@#2}{\@latexerr{No theorem environment `#2' defined}\@eha}%
+  {\expandafter\@ifdefinable\csname #1\endcsname
+  {\global\@namedef{the#1}{\@nameuse{the#2}}%
+  \expandafter\xdef\csname #1name\endcsname{#3}%
+  \global\@namedef{#1}{\@spthm{#2}{\csname #1name\endcsname}{#4}{#5}}%
+  \global\@namedef{end#1}{\@endtheorem}}}}
+
+\def\@spthm#1#2#3#4{\topsep 7\p@ \@plus2\p@ \@minus4\p@
+\labelsep=\spthmsep\refstepcounter{#1}%
+\@ifnextchar[{\@spythm{#1}{#2}{#3}{#4}}{\@spxthm{#1}{#2}{#3}{#4}}}
+
+\def\@spxthm#1#2#3#4{\@spbegintheorem{#2}{\csname the#1\endcsname}{#3}{#4}%
+                    \ignorespaces}
+
+\def\@spythm#1#2#3#4[#5]{\@spopargbegintheorem{#2}{\csname
+       the#1\endcsname}{#5}{#3}{#4}\ignorespaces}
+
+\def\normalthmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont
+                 \item[\hskip\labelsep{##3##1\ ##2\@thmcounterend}]##4}
+\def\@spopargbegintheorem##1##2##3##4##5{\trivlist
+      \item[\hskip\labelsep{##4##1\ ##2}]{##4(##3)\@thmcounterend\ }##5}}
+\normalthmheadings
+
+\def\reversethmheadings{\def\@spbegintheorem##1##2##3##4{\trivlist\normalfont
+                 \item[\hskip\labelsep{##3##2\ ##1\@thmcounterend}]##4}
+\def\@spopargbegintheorem##1##2##3##4##5{\trivlist
+      \item[\hskip\labelsep{##4##2\ ##1}]{##4(##3)\@thmcounterend\ }##5}}
+
+% definition of \spnewtheorem* without number
+
+\def\@sthm#1#2{\@Ynthm{#1}{#2}}
+
+\def\@Ynthm#1#2#3#4{\expandafter\@ifdefinable\csname #1\endcsname
+   {\global\@namedef{#1}{\@Thm{\csname #1name\endcsname}{#3}{#4}}%
+    \expandafter\xdef\csname #1name\endcsname{#2}%
+    \global\@namedef{end#1}{\@endtheorem}}}
+
+\def\@Thm#1#2#3{\topsep 7\p@ \@plus2\p@ \@minus4\p@
+\@ifnextchar[{\@Ythm{#1}{#2}{#3}}{\@Xthm{#1}{#2}{#3}}}
+
+\def\@Xthm#1#2#3{\@Begintheorem{#1}{#2}{#3}\ignorespaces}
+
+\def\@Ythm#1#2#3[#4]{\@Opargbegintheorem{#1}
+       {#4}{#2}{#3}\ignorespaces}
+
+\def\@Begintheorem#1#2#3{#3\trivlist
+                           \item[\hskip\labelsep{#2#1\@thmcounterend}]}
+
+\def\@Opargbegintheorem#1#2#3#4{#4\trivlist
+      \item[\hskip\labelsep{#3#1}]{#3(#2)\@thmcounterend\ }}
+
+% initialize theorem environment
+
+\if@envcntsect
+   \def\@thmcountersep{.}
+   \spnewtheorem{theorem}{Theorem}[section]{\bfseries}{\itshape}
+\else
+   \spnewtheorem{theorem}{Theorem}{\bfseries}{\itshape}
+   \if@envcntreset
+      \@addtoreset{theorem}{section}
+   \else
+      \@addtoreset{theorem}{chapter}
+   \fi
+\fi
+
+%definition of divers theorem environments
+\spnewtheorem*{claim}{Claim}{\itshape}{\rmfamily}
+\spnewtheorem*{proof}{Proof}{\itshape}{\rmfamily}
+\if@envcntsame % all environments like "Theorem" - using its counter
+   \def\spn@wtheorem#1#2#3#4{\@spothm{#1}[theorem]{#2}{#3}{#4}}
+\else % all environments with their own counter
+   \if@envcntsect % show section counter
+      \def\spn@wtheorem#1#2#3#4{\@spxnthm{#1}{#2}[section]{#3}{#4}}
+   \else % not numbered with section
+      \if@envcntreset
+         \def\spn@wtheorem#1#2#3#4{\@spynthm{#1}{#2}{#3}{#4}
+                                   \@addtoreset{#1}{section}}
+      \else
+         \let\spn@wtheorem=\@spynthm
+      \fi
+   \fi
+\fi
+%
+\let\spdefaulttheorem=\spn@wtheorem
+%
+\spn@wtheorem{case}{Case}{\itshape}{\rmfamily}
+\spn@wtheorem{conjecture}{Conjecture}{\itshape}{\rmfamily}
+\spn@wtheorem{corollary}{Corollary}{\bfseries}{\itshape}
+\spn@wtheorem{definition}{Definition}{\bfseries}{\rmfamily}
+\spn@wtheorem{example}{Example}{\itshape}{\rmfamily}
+\spn@wtheorem{exercise}{Exercise}{\bfseries}{\rmfamily}
+\spn@wtheorem{lemma}{Lemma}{\bfseries}{\itshape}
+\spn@wtheorem{note}{Note}{\itshape}{\rmfamily}
+\spn@wtheorem{problem}{Problem}{\bfseries}{\rmfamily}
+\spn@wtheorem{property}{Property}{\itshape}{\rmfamily}
+\spn@wtheorem{proposition}{Proposition}{\bfseries}{\itshape}
+\spn@wtheorem{question}{Question}{\itshape}{\rmfamily}
+\spn@wtheorem{solution}{Solution}{\bfseries}{\rmfamily}
+\spn@wtheorem{remark}{Remark}{\itshape}{\rmfamily}
+%
+\newenvironment{theopargself}
+    {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist
+         \item[\hskip\labelsep{##4##1\ ##2}]{##4##3\@thmcounterend\ }##5}
+     \def\@Opargbegintheorem##1##2##3##4{##4\trivlist
+         \item[\hskip\labelsep{##3##1}]{##3##2\@thmcounterend\ }}}{}
+\newenvironment{theopargself*}
+    {\def\@spopargbegintheorem##1##2##3##4##5{\trivlist
+         \item[\hskip\labelsep{##4##1\ ##2}]{\hspace*{-\labelsep}##4##3\@thmcounterend}##5}
+     \def\@Opargbegintheorem##1##2##3##4{##4\trivlist
+         \item[\hskip\labelsep{##3##1}]{\hspace*{-\labelsep}##3##2\@thmcounterend}}}{}
+%
+\fi
+
+\def\@takefromreset#1#2{%
+    \def\@tempa{#1}%
+    \let\@tempd\@elt
+    \def\@elt##1{%
+        \def\@tempb{##1}%
+        \ifx\@tempa\@tempb\else
+            \@addtoreset{##1}{#2}%
+        \fi}%
+    \expandafter\expandafter\let\expandafter\@tempc\csname cl@#2\endcsname
+    \expandafter\def\csname cl@#2\endcsname{}%
+    \@tempc
+    \let\@elt\@tempd}
+
+\def\squareforqed{\hbox{\rlap{$\sqcap$}$\sqcup$}}
+\def\qed{\ifmmode\else\unskip\quad\fi\squareforqed}
+\def\smartqed{\def\qed{\ifmmode\squareforqed\else{\unskip\nobreak\hfil
+\penalty50\hskip1em\null\nobreak\hfil\squareforqed
+\parfillskip=0pt\finalhyphendemerits=0\endgraf}\fi}}
+
+% Define `abstract' environment
+\def\abstract{\topsep=0pt\partopsep=0pt\parsep=0pt\itemsep=0pt\relax
+\trivlist\item[\hskip\labelsep
+{\bfseries\abstractname}]\if!\abstractname!\hskip-\labelsep\fi}
+\if@twocolumn
+% \if@avier
+%   \def\endabstract{\endtrivlist\addvspace{5mm}\strich}
+%   \def\strich{\hrule\vskip1ptplus12pt}
+% \else
+    \def\endabstract{\endtrivlist\addvspace{3mm}}
+% \fi
+\else
+\fi
+%
+\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        \z@ \@plus\p@}%
+                \item\relax}
+               {\endlist}
+\newenvironment{quote}
+               {\list{}{\rightmargin\leftmargin}%
+                \item\relax}
+               {\endlist}
+\newcommand\appendix{\par\small
+  \setcounter{section}{0}%
+  \setcounter{subsection}{0}%
+  \renewcommand\thesection{\@Alph\c@section}}
+\setlength\arraycolsep{1.5\p@}
+\setlength\tabcolsep{6\p@}
+\setlength\arrayrulewidth{.4\p@}
+\setlength\doublerulesep{2\p@}
+\setlength\tabbingsep{\labelsep}
+\skip\@mpfootins = \skip\footins
+\setlength\fboxsep{3\p@}
+\setlength\fboxrule{.4\p@}
+\renewcommand\theequation{\@arabic\c@equation}
+\newcounter{figure}
+\renewcommand\thefigure{\@arabic\c@figure}
+\def\fps@figure{tbp}
+\def\ftype@figure{1}
+\def\ext@figure{lof}
+\def\fnum@figure{\figurename~\thefigure}
+\newenvironment{figure}
+               {\@float{figure}}
+               {\end@float}
+\newenvironment{figure*}
+               {\@dblfloat{figure}}
+               {\end@dblfloat}
+\newcounter{table}
+\renewcommand\thetable{\@arabic\c@table}
+\def\fps@table{tbp}
+\def\ftype@table{2}
+\def\ext@table{lot}
+\def\fnum@table{\tablename~\thetable}
+\newenvironment{table}
+               {\@float{table}}
+               {\end@float}
+\newenvironment{table*}
+               {\@dblfloat{table}}
+               {\end@dblfloat}
+%
+\def \@floatboxreset {%
+        \reset@font
+        \small
+        \@setnobreak
+        \@setminipage
+}
+%
+\newcommand{\tableheadseprule}{\noalign{\hrule height.375mm}}
+%
+\newlength\abovecaptionskip
+\newlength\belowcaptionskip
+\setlength\abovecaptionskip{10\p@}
+\setlength\belowcaptionskip{0\p@}
+\newcommand\leftlegendglue{}
+
+\def\fig@type{figure}
+
+\newdimen\figcapgap\figcapgap=3pt
+\newdimen\tabcapgap\tabcapgap=5.5pt
+
+\@ifundefined{floatlegendstyle}{\def\floatlegendstyle{\bfseries}}{}
+
+\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname
+  ext@#1\endcsname}{#1}{\protect\numberline{\csname
+  the#1\endcsname}{\ignorespaces #2}}\begingroup
+    \@parboxrestore
+    \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par
+  \endgroup}
+
+\def\capstrut{\vrule\@width\z@\@height\topskip}
+
+\@ifundefined{captionstyle}{\def\captionstyle{\normalfont\small}}{}
+
+\long\def\@makecaption#1#2{%
+ \captionstyle
+ \ifx\@captype\fig@type
+   \vskip\figcapgap
+ \fi
+ \setbox\@tempboxa\hbox{{\floatlegendstyle #1\floatcounterend}%
+ \capstrut #2}%
+ \ifdim \wd\@tempboxa >\hsize
+   {\floatlegendstyle #1\floatcounterend}\capstrut #2\par
+ \else
+   \hbox to\hsize{\leftlegendglue\unhbox\@tempboxa\hfil}%
+ \fi
+ \ifx\@captype\fig@type\else
+   \vskip\tabcapgap
+ \fi}
+
+\newdimen\figgap\figgap=1cc
+\long\def\@makesidecaption#1#2{%
+   \parbox[b]{\@tempdimb}{\captionstyle{\floatlegendstyle
+                                         #1\floatcounterend}#2}}
+\def\sidecaption#1\caption{%
+\setbox\@tempboxa=\hbox{#1\unskip}%
+\if@twocolumn
+ \ifdim\hsize<\textwidth\else
+   \ifdim\wd\@tempboxa<\columnwidth
+      \typeout{Double column float fits into single column -
+            ^^Jyou'd better switch the environment. }%
+   \fi
+ \fi
+\fi
+\@tempdimb=\hsize
+\advance\@tempdimb by-\figgap
+\advance\@tempdimb by-\wd\@tempboxa
+\ifdim\@tempdimb<3cm
+    \typeout{\string\sidecaption: No sufficient room for the legend;
+             using normal \string\caption. }%
+   \unhbox\@tempboxa
+   \let\@capcommand=\@caption
+\else
+   \let\@capcommand=\@sidecaption
+   \leavevmode
+   \unhbox\@tempboxa
+   \hfill
+\fi
+\refstepcounter\@captype
+\@dblarg{\@capcommand\@captype}}
+
+\long\def\@sidecaption#1[#2]#3{\addcontentsline{\csname
+  ext@#1\endcsname}{#1}{\protect\numberline{\csname
+  the#1\endcsname}{\ignorespaces #2}}\begingroup
+    \@parboxrestore
+    \@makesidecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par
+  \endgroup}
+
+% Define `acknowledgement' environment
+\def\acknowledgement{\par\addvspace{17pt}\small\rmfamily
+\trivlist\if!\ackname!\item[]\else
+\item[\hskip\labelsep
+{\bfseries\ackname}]\fi}
+\def\endacknowledgement{\endtrivlist\addvspace{6pt}}
+\newenvironment{acknowledgements}{\begin{acknowledgement}}
+{\end{acknowledgement}}
+% Define `noteadd' environment
+\def\noteadd{\par\addvspace{17pt}\small\rmfamily
+\trivlist\item[\hskip\labelsep
+{\itshape\noteaddname}]}
+\def\endnoteadd{\endtrivlist\addvspace{6pt}}
+
+\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}
+\newcommand\@pnumwidth{1.55em}
+\newcommand\@tocrmarg{2.55em}
+\newcommand\@dotsep{4.5}
+\setcounter{tocdepth}{1}
+\newcommand\tableofcontents{%
+    \section*{\contentsname}%
+    \@starttoc{toc}%
+    \addtocontents{toc}{\begingroup\protect\small}%
+    \AtEndDocument{\addtocontents{toc}{\endgroup}}%
+    }
+\newcommand*\l@part[2]{%
+  \ifnum \c@tocdepth >-2\relax
+    \addpenalty\@secpenalty
+    \addvspace{2.25em \@plus\p@}%
+    \begingroup
+      \setlength\@tempdima{3em}%
+      \parindent \z@ \rightskip \@pnumwidth
+      \parfillskip -\@pnumwidth
+      {\leavevmode
+       \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par
+       \nobreak
+       \if@compatibility
+         \global\@nobreaktrue
+         \everypar{\global\@nobreakfalse\everypar{}}%
+      \fi
+    \endgroup
+  \fi}
+\newcommand*\l@section{\@dottedtocline{1}{0pt}{1.5em}}
+\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
+\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
+\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
+\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
+\newcommand\listoffigures{%
+    \section*{\listfigurename
+      \@mkboth{\listfigurename}%
+              {\listfigurename}}%
+    \@starttoc{lof}%
+    }
+\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
+\newcommand\listoftables{%
+    \section*{\listtablename
+      \@mkboth{\listtablename}{\listtablename}}%
+    \@starttoc{lot}%
+    }
+\let\l@table\l@figure
+\newdimen\bibindent
+\setlength\bibindent{\parindent}
+\def\@biblabel#1{#1.}
+\def\@lbibitem[#1]#2{\item[{[#1]}\hfill]\if@filesw
+      {\let\protect\noexpand
+       \immediate
+       \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}
+\newenvironment{thebibliography}[1]
+     {\section*{\refname
+        \@mkboth{\refname}{\refname}}\small
+      \list{\@biblabel{\@arabic\c@enumiv}}%
+           {\settowidth\labelwidth{\@biblabel{#1}}%
+            \leftmargin\labelwidth
+            \advance\leftmargin\labelsep
+            \@openbib@code
+            \usecounter{enumiv}%
+            \let\p@enumiv\@empty
+            \renewcommand\theenumiv{\@arabic\c@enumiv}}%
+      \sloppy\clubpenalty4000\widowpenalty4000%
+      \sfcode`\.\@m}
+     {\def\@noitemerr
+       {\@latex@warning{Empty `thebibliography' environment}}%
+      \endlist}
+%
+\newcount\@tempcntc
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
+  \@tempcnta\z@\@tempcntb\m@ne\def\@citea{}\@cite{\@for\@citeb:=#2\do
+    {\@ifundefined
+       {b@\@citeb}{\@citeo\@tempcntb\m@ne\@citea\def\@citea{,}{\bfseries
+        ?}\@warning
+       {Citation `\@citeb' on page \thepage \space undefined}}%
+    {\setbox\z@\hbox{\global\@tempcntc0\csname b@\@citeb\endcsname\relax}%
+     \ifnum\@tempcntc=\z@ \@citeo\@tempcntb\m@ne
+       \@citea\def\@citea{,\hskip0.1em\ignorespaces}\hbox{\csname b@\@citeb\endcsname}%
+     \else
+      \advance\@tempcntb\@ne
+      \ifnum\@tempcntb=\@tempcntc
+      \else\advance\@tempcntb\m@ne\@citeo
+      \@tempcnta\@tempcntc\@tempcntb\@tempcntc\fi\fi}}\@citeo}{#1}}
+\def\@citeo{\ifnum\@tempcnta>\@tempcntb\else
+            \@citea\def\@citea{,\hskip0.1em\ignorespaces}%
+  \ifnum\@tempcnta=\@tempcntb\the\@tempcnta\else
+   {\advance\@tempcnta\@ne\ifnum\@tempcnta=\@tempcntb \else \def\@citea{--}\fi
+    \advance\@tempcnta\m@ne\the\@tempcnta\@citea\the\@tempcntb}\fi\fi}
+%
+\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
+\let\@openbib@code\@empty
+\newenvironment{theindex}
+               {\if@twocolumn
+                  \@restonecolfalse
+                \else
+                  \@restonecoltrue
+                \fi
+                \columnseprule \z@
+                \columnsep 35\p@
+                \twocolumn[\section*{\indexname}]%
+                \@mkboth{\indexname}{\indexname}%
+                \thispagestyle{plain}\parindent\z@
+                \parskip\z@ \@plus .3\p@\relax
+                \let\item\@idxitem}
+               {\if@restonecol\onecolumn\else\clearpage\fi}
+\newcommand\@idxitem{\par\hangindent 40\p@}
+\newcommand\subitem{\@idxitem \hspace*{20\p@}}
+\newcommand\subsubitem{\@idxitem \hspace*{30\p@}}
+\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}
+
+\if@twocolumn
+ \renewcommand\footnoterule{%
+  \kern-3\p@
+  \hrule\@width\columnwidth
+  \kern2.6\p@}
+\else
+ \renewcommand\footnoterule{%
+  \kern-3\p@
+  \hrule\@width.382\columnwidth
+  \kern2.6\p@}
+\fi
+\newcommand\@makefntext[1]{%
+    \noindent
+    \hb@xt@\bibindent{\hss\@makefnmark\enspace}#1}
+%
+\def\trans@english{\switcht@albion}
+\def\trans@french{\switcht@francais}
+\def\trans@german{\switcht@deutsch}
+\newenvironment{translation}[1]{\if!#1!\else
+\@ifundefined{selectlanguage}{\csname trans@#1\endcsname}{\selectlanguage{#1}}%
+\fi}{}
+% languages
+% English section
+\def\switcht@albion{%\typeout{English spoken.}%
+ \def\abstractname{Abstract}%
+ \def\ackname{Acknowledgements}%
+ \def\andname{and}%
+ \def\lastandname{, and}%
+ \def\appendixname{Appendix}%
+ \def\chaptername{Chapter}%
+ \def\claimname{Claim}%
+ \def\conjecturename{Conjecture}%
+ \def\contentsname{Contents}%
+ \def\corollaryname{Corollary}%
+ \def\definitionname{Definition}%
+ \def\emailname{E-mail}%
+ \def\examplename{Example}%
+ \def\exercisename{Exercise}%
+ \def\figurename{Fig.}%
+ \def\keywordname{{\bfseries Keywords}}%
+ \def\indexname{Index}%
+ \def\lemmaname{Lemma}%
+ \def\contriblistname{List of Contributors}%
+ \def\listfigurename{List of Figures}%
+ \def\listtablename{List of Tables}%
+ \def\mailname{{\itshape Correspondence to\/}:}%
+ \def\noteaddname{Note added in proof}%
+ \def\notename{Note}%
+ \def\partname{Part}%
+ \def\problemname{Problem}%
+ \def\proofname{Proof}%
+ \def\propertyname{Property}%
+ \def\questionname{Question}%
+ \def\refname{References}%
+ \def\remarkname{Remark}%
+ \def\seename{see}%
+ \def\solutionname{Solution}%
+ \def\tablename{Table}%
+ \def\theoremname{Theorem}%
+}\switcht@albion % make English default
+%
+% French section
+\def\switcht@francais{\svlanginfo
+%\typeout{On parle francais.}%
+ \def\abstractname{R\'esum\'e\runinend}%
+ \def\ackname{Remerciements\runinend}%
+ \def\andname{et}%
+ \def\lastandname{ et}%
+ \def\appendixname{Appendice}%
+ \def\chaptername{Chapitre}%
+ \def\claimname{Pr\'etention}%
+ \def\conjecturename{Hypoth\`ese}%
+ \def\contentsname{Table des mati\`eres}%
+ \def\corollaryname{Corollaire}%
+ \def\definitionname{D\'efinition}%
+ \def\emailname{E-mail}%
+ \def\examplename{Exemple}%
+ \def\exercisename{Exercice}%
+ \def\figurename{Fig.}%
+ \def\keywordname{{\bfseries Mots-cl\'e\runinend}}%
+ \def\indexname{Index}%
+ \def\lemmaname{Lemme}%
+ \def\contriblistname{Liste des contributeurs}%
+ \def\listfigurename{Liste des figures}%
+ \def\listtablename{Liste des tables}%
+ \def\mailname{{\itshape Correspondence to\/}:}%
+ \def\noteaddname{Note ajout\'ee \`a l'\'epreuve}%
+ \def\notename{Remarque}%
+ \def\partname{Partie}%
+ \def\problemname{Probl\`eme}%
+ \def\proofname{Preuve}%
+ \def\propertyname{Caract\'eristique}%
+%\def\propositionname{Proposition}%
+ \def\questionname{Question}%
+ \def\refname{Bibliographie}%
+ \def\remarkname{Remarque}%
+ \def\seename{voyez}%
+ \def\solutionname{Solution}%
+%\def\subclassname{{\it Subject Classifications\/}:}%
+ \def\tablename{Tableau}%
+ \def\theoremname{Th\'eor\`eme}%
+}
+%
+% German section
+\def\switcht@deutsch{\svlanginfo
+%\typeout{Man spricht deutsch.}%
+ \def\abstractname{Zusammenfassung\runinend}%
+ \def\ackname{Danksagung\runinend}%
+ \def\andname{und}%
+ \def\lastandname{ und}%
+ \def\appendixname{Anhang}%
+ \def\chaptername{Kapitel}%
+ \def\claimname{Behauptung}%
+ \def\conjecturename{Hypothese}%
+ \def\contentsname{Inhaltsverzeichnis}%
+ \def\corollaryname{Korollar}%
+%\def\definitionname{Definition}%
+ \def\emailname{E-Mail}%
+ \def\examplename{Beispiel}%
+ \def\exercisename{\"Ubung}%
+ \def\figurename{Abb.}%
+ \def\keywordname{{\bfseries Schl\"usselw\"orter\runinend}}%
+ \def\indexname{Index}%
+%\def\lemmaname{Lemma}%
+ \def\contriblistname{Mitarbeiter}%
+ \def\listfigurename{Abbildungsverzeichnis}%
+ \def\listtablename{Tabellenverzeichnis}%
+ \def\mailname{{\itshape Correspondence to\/}:}%
+ \def\noteaddname{Nachtrag}%
+ \def\notename{Anmerkung}%
+ \def\partname{Teil}%
+%\def\problemname{Problem}%
+ \def\proofname{Beweis}%
+ \def\propertyname{Eigenschaft}%
+%\def\propositionname{Proposition}%
+ \def\questionname{Frage}%
+ \def\refname{Literatur}%
+ \def\remarkname{Anmerkung}%
+ \def\seename{siehe}%
+ \def\solutionname{L\"osung}%
+%\def\subclassname{{\it Subject Classifications\/}:}%
+ \def\tablename{Tabelle}%
+%\def\theoremname{Theorem}%
+}
+\newcommand\today{}
+\edef\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}
+\setlength\columnsep{1.5cc}
+\setlength\columnseprule{0\p@}
+%
+\frenchspacing
+\clubpenalty=10000
+\widowpenalty=10000
+\def\thisbottomragged{\def\@textbottom{\vskip\z@ plus.0001fil
+\global\let\@textbottom\relax}}
+\pagestyle{headings}
+\pagenumbering{arabic}
+\if@twocolumn
+   \twocolumn
+\fi
+%\if@avier
+%   \onecolumn
+%   \setlength{\textwidth}{156mm}
+%   \setlength{\textheight}{226mm}
+%\fi
+\if@referee
+   \makereferee
+\fi
+\flushbottom
+\endinput
+%%
+%% End of file `svjour3.cls'.