%       SIAMPTEX.STY;  12-11-92;  Paul Duggan, Society for Industrial
%                                and Applied Mathematics. From
%                                Ralph Youngen's siamtex.sty
%
%       This file may be freely distributed but may not be altered in
%       any way.
%
%       This is a file of macros and definitions for creating an article
%       for publication in a SIAM journal.
%
% Make the @ sign a letter for internal control sequences.
\catcode`\@=11
%
% Report the version number of this package.
\message{ *** SIAM Plain TeX macro package, version 2.1, 1-JAN-1993 ***}
%
%
%  FONTS
\font\tenrm=cmr10
\font\tenbf=cmbx10
\font\tenit=cmti10                  
\font\tensmc=cmcsc10
\def\tenpoint{%
   \def\rm{\fam0\tenrm}\def\bf{\fam\bffam\tenbf}%
   \def\it{\fam\itfam\tenit}\def\smc{\tensmc}
        \textfont0=\tenrm \scriptfont0=\sevenrm
        \textfont1=\teni \scriptfont1=\seveni
        \textfont2=\tensy \scriptfont2=\sevensy
        \textfont3=\tenex \scriptfont3=\tenex
\baselineskip=12pt\rm}%

\font\ninerm=cmr9
\font\ninebf=cmbx9
\font\nineit=cmti9
\def\ninepoint{%
   \def\rm{\ninerm}\def\bf{\ninebf}%
   \def\it{\nineit}\baselineskip=11pt\rm}%

\font\eightrm=cmr8
\font\eightbf=cmbx8
\font\eightit=cmti8        
\font\eighti=cmmi8
\font\eightsy=cmsy8
\font\eightsmc=cmcsc8
\font\eighttt=cmtt8
   \def\eightpoint{%
   \def\rm{\fam0\eightrm}\def\bf{\fam\bffam\eightbf}%
  \def\it{\fam\itfam\eightit}\def\smc{\eightsmc}\def\tt{\eighttt}\baselineskip=10pt\rm%
        \textfont0=\eightrm \scriptfont0=\sixrm
        \textfont1=\eighti \scriptfont1=\sixi
        \textfont2=\eightsy \scriptfont2=\sixsy
\textfont3=\tenex \scriptfont3=\tenex
}

\font\sixrm=cmr6
\font\sixbf=cmbx6
\font\sixi=cmmi6        
\font\sixsmc=cmr5
\font\sixsy=cmsy6
\def\sixpoint{%
   \def\rm{\sixrm}\def\bf{\sixbf}%
   \def\smc{\sixsmc}\baselineskip=8pt\rm}%

\fontdimen13\tensy=2.6pt
\fontdimen14\tensy=2.6pt
\fontdimen15\tensy=2.6pt
\fontdimen16\tensy=1.2pt
\fontdimen17\tensy=1.2pt
\fontdimen18\tensy=1.2pt              

\def\rheadfont{\tenpoint\smc} 
\def\titlefont{\tenpoint\bf}
\def\authorfont{\eightpoint\smc}
\def\dedicatefont{\ninepoint\it}


%  DIMENSIONS
\hsize=31pc
\vsize=50pc
\parindent=2em

      
%  MACROS        
\newif\ifkeywords@
\newif\ifsubjclass@
\newif\ifdedicate@
\newif\ifrecdate@
\newif\ifoneclass@

\keywords@false
\subjclass@false
\dedicate@false
\recdate@false
\oneclass@false
     
\def\title#1\endtitle{\def\thetitle{\uppercase{#1}}%
          \def\\{\relax\ }\xdef\rightrh{\lowercase{#1}}}

\def\shorttitle#1{\xdef\rightrh{\lowercase{#1}}}

\def\author#1\endauthor{%
        \def\and{\hbox{\sixrm AND }}\def\\{\break}%  prevent \uppercase when typesetting
        \def\theauthor{\uppercase{#1}}%
         {%
           \def\\{\relax\ }%         change \\ to be a space in the running head
           \def\fnmark##1{}%     turn address off in the running head
           \def\and{and }%    "and" is the same size as names in the running head
           \xdef\leftrh{\lowercase{#1}}%           
        }}

\def\shortauthor#1{\def\and{and }\xdef\leftrh{\lowercase{#1}}}

\gdef\fnmark#1{#1}
\gdef\address#1#2{\makefootnote@{\textfont2=\eightsy #1}{#2\unskip.}}
\def\journal#1{\def\thejournal{#1}}
\journal{SIAM J. S{\smc CI. }S{\smc TAT. }C{\smc OMP.}}
\def\copyyear#1{\def\thecopyyear{#1}}
\copyyear{1989}
\def\vol#1{\def\thevol{#1}}
\def\no#1{\def\theno{#1}}
\def\date#1{\def\thedate{#1}}
\def\code#1{\def\thecode{#1}}
\def\dedicate#1{\dedicate@true\def\thededicate{#1}}
\def\keywords#1\endkeywords{\keywords@true\def\thekeywords{#1}}
\def\subjclass#1\endsubjclass{\subjclass@true\def\thesubjclass{#1}}
\def\oneclass{\oneclass@true}
\long\def\abstract#1{\def\theabstract{#1}}

\def\raggedcenter{\leftskip=0pt plus 1fill \rightskip=0pt plus 1fill}

\def\copyright#1{{\ooalign{\hfil\raise.07ex\hbox{c}\hfil\crcr#1\char"0D}}}

\def\recdate#1#2{\global\recdate@true
        \gdef\recdate@{#1Received by the editors \ignorespaces#2\unskip.}%
        \makefootnote@{}{\recdate@}}
                          


\def\heading#1#2{%
        \vskip6pt{\bf #1.\enspace\ignorespaces#2.\enspace}\ignorespaces}

\def\thm#1{{\smc #1.}\begingroup\it\enspace\ignorespaces}
\let\lem=\thm
\let\cor=\thm
\let\prop=\thm

\def\endthm{\endgroup}
\let\endlem=\endthm
\let\endcor=\endthm
\let\endprop=\endthm

\def\prf#1{{\it #1}.\rm\enspace\ignorespaces}
\let\rem=\prf
\let\case=\prf

\def\endproof{\vbox{\hrule\hbox{%
   \vrule height1.3ex\hskip0.8ex\vrule}\hrule
  }}

\def\dfn#1{{\smc #1.}\rm\enspace\ignorespaces}

\let\topmatter=\relax
\def\endtopmatter{%
        \global\headline={\hss\vtop to \z@ {%
                \sixpoint\rm\noindent\thejournal \hfill%
                \rm\copyright{\sevensy}\rm%
                \thecopyyear\ Society for Industrial and Applied Mathematics\par
                \noindent Vol. \thevol , No. \theno , \thedate\hfill\thecode\par
        \vss}\hss}%                                   
        \leavevmode\vskip8pt
        \vbox{\noindent\raggedcenter\let\\=\break\titlefont\thetitle
            \ifrecdate@*\fi}
        \vskip6pt
        \vbox{\noindent\raggedcenter\let\\=\break\authorfont\theauthor}
        \ifdedicate@
                \vskip6pt
                \vbox{\noindent\raggedcenter\let\\=\break\dedicatefont
                \thededicate}
        \fi
        \vskip14pt
        {\eightpoint{\bf Abstract.\ }\theabstract\par
        \ifkeywords@
                \vskip10pt
                {\bf Key words.} \thekeywords\par
        \fi
        \ifsubjclass@
                \vskip10pt
                {\bf AMS subject classification\ifoneclass@\else s\fi. }%
                \thesubjclass\par
        \fi}
        \vskip8pt
        \tenpoint}
%%grouping of \eightpoint is new: added 2/22/91 to allow roman & bold
%%in math mode


%%% REFERENCES

\newdimen\refindent@
\newdimen\refhangindent@
\newbox\refbox@
\setbox\refbox@=\hbox{\eightpoint\rm [00]}%   Default 2 digits
\refindent@=\wd\refbox@

\def\resetrefindent#1{%
        \setbox\refbox@=\hbox{\eightpoint\rm [#1]}%
        \refindent@=\wd\refbox@}

\def\Refs{%
        \unskip\vskip2pc
        \centerline{\eightpoint\rm REFERENCES}%
        \penalty10000
        \vskip4pt
        \penalty10000
        \refhangindent@=\refindent@
        \global\advance\refhangindent@ by 2em
        \global\everypar{\hangindent\refhangindent@}%
        \parindent=0pt\eightpoint\rm}

\def\XRefs{%
        \unskip\vskip2pc
        \centerline{\eightpoint\rm REFERENCES}%
        \penalty10000
        \vskip4pt
        \penalty10000
        \refhangindent@=\refindent@
        \global\everypar{\hangindent\refhangindent@}%
        \parindent=0pt\eightpoint\rm}
                                      
\def\sameauthor{\leavevmode\vbox to 1ex{\vskip 0pt plus 100pt
    \hbox to 3em{\leaders\hrule\hfil}\vskip 0pt plus 300pt}}
    
\def\ref#1\\#2\endref{\leavevmode\hbox to \refindent@{\hfil[#1]}\enspace #2\par}

\def\xref\\#1\endref{\leavevmode #1\par}
%%% OUTPUT

\global\footline={\hss\eightpoint\rm\folio\hss}% first page
\output{\plainoutput}
\def\plainoutput{\shipout\vbox{\makeheadline\pagebody\makefootline}%
  \advancepageno
  \ifnum\pageno>1
        \global\footline={\hfill}%
  \fi     
  \ifodd\pageno
        \global\headline={\hss\rightrh\hss{\tenpoint\rm\folio}}%
  \else
        \global\headline={\hskip-8pt{\tenpoint\rm\folio}\hss\leftrh\hss}%
  \fi
  \ifnum\outputpenalty>-\@MM \else\dosupereject\fi}
\def\pagebody{\vbox to\vsize{\boxmaxdepth\maxdepth \pagecontents}}
\def\makeheadline{\vbox to\z@{\vskip-22.5\p@
  \line{\vbox to8.5\p@{}\rheadfont\the\headline}\vss}%
    \nointerlineskip}
\def\makefootline{\baselineskip24\p@\vskip-8\p@\line{\the\footline}}
\def\dosupereject{\ifnum\insertpenalties>\z@ % something is being held over
  \line{}\kern-\topskip\nobreak\vfill\supereject\fi}

\def\relaxnext@{\let\next\relax}
\def\footmarkform@#1{\ifmmode {}^{#1}\else$^{#1}$\fi }
\let\thefootnotemark\footmarkform@
\def\makefootnote@#1#2{\insert\footins
        {\interlinepenalty\interfootnotelinepenalty
        \eightpoint \splittopskip=\ht\strutbox
      \splitmaxdepth=\dp\strutbox
        \floatingpenalty=\@MM 
   \leftskip=\z@ \rightskip=\z@
        \spaceskip=\z@ \xspaceskip=\z@
        \leavevmode{#1}\footstrut\ignorespaces#2\unskip
        \lower\dp\strutbox\vbox to\dp\strutbox{}}}
\newcount\footmarkcount@
 \footmarkcount@=\z@                    % Initialization
\def\footnotemark{\let\@sf=\empty \relaxnext@
        \ifhmode \edef\@sf{\spacefactor=\the\spacefactor}\/\fi
        \def\next@{\ifx[\next \let\next=\nextii@ \else
                \ifx"\next \let\next=\nextiii@ \else
                        \let\next=\nextiv@ \fi\fi\next}%
        \def\nextii@[##1]{\footmarkform@{##1}\@sf}%
        \def\nextiii@"##1"{{##1}\@sf}%
        \def\nextiv@{\global\advance\footmarkcount@\@ne
                \footmarkform@{\number\footmarkcount@}\@sf}%
        \futurelet\next\next@}
\def\footnotetext{\relaxnext@
        \def\next@{\ifx[\next \let\next=\nextii@ \else
                \ifx"\next \let\next=\nextiii@ \else
                        \let\next=\nextiv@ \fi\fi\next}%
        \def\nextii@[##1]##2{\makefootnote@{\footmarkform@{##1}}{##2}}%
        \def\nextiii@"##1"##2{\makefootnote@{##1}{##2}}%
 
\def\nextiv@##1{\makefootnote@{\footmarkform@{\number\footmarkcount@}}{##1}}%
        \futurelet\next\next@}
\def\footnote{\let\@sf=\empty \relaxnext@
        \ifhmode \edef\@sf{\spacefactor\the\spacefactor}\/\fi
        \def\next@{\ifx[\next \let\next=\nextii@ \else
                \ifx"\next \let\next=\nextiii@ \else
                        \let\next=\nextiv@ \fi\fi\next}%
        \def\nextii@[##1]##2{\footnotemark[##1]\footnotetext[##1]{##2}}%
        \def\nextiii@"##1"##2{\footnotemark"##1"\footnotetext"##1"{##2}}%
        \def\nextiv@##1{\footnotemark\footnotetext{##1}}%
        \futurelet\next\next@}
\def\adjustfootnotemark#1{\advance\footmarkcount@#1\relax}

\skip\footins=18\p@ plus6\p@ minus6\p@

\def\footnoterule{\kern -4\p@\hrule width 3pc \kern 3.6\p@ } % rule = .4 pt high

\def\meti#1{\parindent=2\parindent \par\indent\llap{#1\enspace}\ignorespaces\parindent=.5\parindent}
\def\metimeti#1{\parindent=2\parindent \par\indent\llap{#1\enspace}\ignorespaces\parindent=.5\parindent}

\font\tencmmib=cmmib10 \skewchar\tencmmib='177
\newfam\cmmibfam
\textfont\cmmibfam=\tencmmib 

\def\ldisplaylinesno#1{\displ@y\halign{
  \hbox to\displaywidth{$\@lign\hfil\displaystyle##\hfil$}&
    \kern-\displaywidth\rlap{$##$}\kern\displaywidth\crcr
  #1\crcr}}

\def\bphi{\mathchar"0\hexnumber@\cmmibfam"1E}


%       Turn off @ as being a letter.
%
\catcode`\@=12