<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%%% ====================================================================
%%%  @LaTeX-style-file{
%%%     author          = "Enrico Bertolazzi",
%%%     version         = "1.94",
%%%     date            = "18-MAR-2002",
%%%     filename        = "easyeqn.sty",
%%%     address         = "Dipatimento di Ingegneria
%%%                        Meccanica e Strutturale,
%%%                        Trento University,
%%%                        Via Mesiano, Trento, Italy",
%%%     FAX             = "+39 (461) 882599",
%%%     email           = "enrico.bertolazzi@ing.unitn.it (Internet)",
%%%     supported       = "yes. Please send comments via E-mail",
%%%     docstring       = "package for easy typing equations."
%%%
%%% INSTALLATION:
%%%   Put this file where your TeX looks for inputs.
%%%
%%% DOCUMENTATION:
%%%   Compile doceqn.tex.
%%%
%%%   Copyright  1999 Enrico Bertolazzi
%%%
%%%   This program can be redistributed and/or modified under the terms
%%%   of the LaTeX Project Public License Distributed from CTAN
%%%   archives in directory macros/latex/base/lppl.txt; either
%%%   version 1 of the License, or any later version.
%%%
%%% }
%%%
%%% v 0.2 15/may/96 first release
%%% v 0.3 27/july/96
%%%       addedd fleq, leqno options
%%%       EQA environment
%%%       \numberright and \equationcenter commands
%%%       improved \label command
%%% v 0.4 improved tracing algorithm
%%% v 0.5 improved spacing in the formulae, added cosmetic commands
%%% v 0.6 correct label alignment in single equation
%%% v 0.7 added additional macros
%%% v 0.8 \ParDer now work also with easyvector
%%% v 0.9 \ParDer now work also with easyvector with indices
%%% v 1.0 Added ~ convection for eqlabel fixed an error in showkeys
%%% v 1.1 added additional macros
%%% v 1.2 compatibility with hyper macros
%%% v 1.3 chaged copyright
%%% v 1.4 added commands \eqlabeltop, \eqlabelbot, \eqlabelcenter
%%% v 1.5 fixed a bug on allnumber
%%% v 1.6 fixed a bug on equation number alignment
%%% v 1.7 fixed a bug on equation number vertical alignment
%%% v 1.8 fixed a bad spacing with \baselinestretch
%%% v 1.9 13-JUN-2001 changed \@roman with \romannumeral (thanks to Claudio Beccari) 
%%% v 1.91 19-JUN-2001 fixed a bug in \eqlabel introduced in version 1.9 
%%% v 1.92 18-JULY-2001 improved equation spacing 
%%% v 1.93 23-AUG-2001 correct a bug with showkeys
%%% v 1.94 18-MAR-2002 fixed a bug compatibility with hyperref
%%% ====================================================================%%%
%%%       ___    ____  ___   _   _         ___    ____  ___   _   _     %%%
%%%      /   \  /     /   \  \  /         /   \  /     /   \  \  /      %%%
%%%     /____/ /__   /____/   \/         /____/ /__   /____/   \/       %%%
%%%    /   \  /     /  \      /         /   \  /     /  \      /        %%%
%%%   /____/ /____ /    \    /         /____/ /____ /    \    /         %%%
%%% ====================================================================%%%
\def\filedate{2002/03/18}
\def\fileversion{v1.94}
\typeout{Document Style `easyeqn' \fileversion\space&lt;\filedate&gt;.}
%% BEGIN easyeqn.sty
%%
\NeedsTeXFormat{LaTeX2e}
\RequirePackage{easy}
\ProvidesPackage{easyeqn}[\filedate\space\fileversion]

\@easy@disable@space

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newdimen\@EQ@leftmargin\@EQ@leftmargin\leftmargini
\newdimen\@EQ@col@sep\@EQ@col@sep=2pt

\newcommand{\equationcenter}{\gdef\@EQ@indent{\tabskip\@centering}}%
\newcommand{\equationleft}{\gdef\@EQ@indent{\tabskip\@EQ@leftmargin}}%
% 
\newcommand{\eqspacing}[1]{\xdef\@EQ@surround{\noexpand\abovedisplayskip#1\noexpand\belowdisplayskip#1}}
\newcommand{\eqleftmargin}[1]{\global\@EQ@leftmargin=#1}
% 
\newcommand{\eqcolumnsep}[1]{\@tempdima=#1\divide\@tempdima2\global\@EQ@col@sep=\@tempdima}
% 
\newcommand{\eqrowsep}[1]{\def\@tempa##1{%
   \gdef\@EQ@rowsep{\penalty\@M\vskip##1}}
   \expandafter\@tempa{#1}}
% 
\newcommand{\numberleft}{\global\let\@EQ@NUM\@EQ@NUM@LEFT}
\newcommand{\numberright}{\global\let\@EQ@NUM\@EQ@NUM@RIGHT}

\def\@EQ@reset@numbering{\global\let\if@EQ@numbering\iffalse}

\DeclareOption{allnumber}{%
  \gdef\@EQ@reset@numbering{\global\let\if@EQ@numbering\iftrue}
  \gdef\@EQ@eqnum{\refstepcounter{equation}\@EQ@base@eqnum}
}

\DeclareOption{fleqn}{\equationleft}

\global\let\if@EQ@number@left\iffalse
\DeclareOption{leqno}{\global\let\if@EQ@number@left\iftrue}

\DeclareOption{math}{%

    \def\binom#1#2{{#1\atopwithdelims()#2}}

    \def\abs#1{\left\vert#1\right\vert}
    \def\norm#1{\left\Vert#1\right\Vert}
    
    \def\frac{\@ifnextchar[\@EQ@frac\@EQ@frac@}
    \def\@EQ@frac[#1]#2#3{{\begingroup#2\endgroup\above#1#3}}
    \def\@EQ@frac@#1#2{{\begingroup#1\endgroup\over#2}}

    \providecommand{\dfrac}{\@ifnextchar[\@EQ@dfrac\@EQ@dfrac@}
    \def\@EQ@dfrac[#1]#2#3{\displaystyle{\begingroup#2\endgroup\above#1#3}}
    \def\@EQ@dfrac@#1#2{\displaystyle{\begingroup#1\endgroup\over#2}}

    \providecommand{\tfrac}{\@ifnextchar[\@EQ@tfrac\@EQ@tfrac@}
    \def\@EQ@tfrac[#1]#2#3{\scriptstyle{\begingroup#2\endgroup\above#1#3}}
    \def\@EQ@tfrac@#1#2{\scriptstyle{\begingroup#1\endgroup\over#2}}

    \def\boxed#1{\fbox{$\displaystyle{#1}$}}
    \def\eqbox{\@ifnextchar(\@EQ@box{\@EQ@box(.25pt,3pt)}}
    \def\@EQ@box(#1,#2)#3{\fboxrule#1\fboxsep#2\fbox{$\displaystyle#3$}}

    \newcount\@EQ@DP@n\@EQ@DP@n=\z@
    \newcount\@EQ@DP@nt\@EQ@DP@nt=\m@ne
    
    \def\ParDer[{%
        \global\@EQ@DP@n=\z@
        \global\@EQ@DP@nt=\z@
        \global\let\@EQ@DP@x\@empty
        \global\let\@EQ@DP@oldx\@empty
        \futurelet\@tempb\@EQ@DP@parsea}
%
    \def\@EQ@DP@parsea{\futurelet\@tempb\@EQ@DP@parseb}
    \def\@EQ@DP@parseb{%
       \let\next\@EQ@DP@eat%
       \ifx]\@tempb\let\next\@EQ@DP@close\else%
       \ifx\bgroup\@tempb\let\next\@EQ@DP@bgroup\fi\fi%
       \next}%
%
    \def\@EQ@DP@close#1#2{%
        \@EQ@DP@eat\end
        \ifnum\@ne=\@EQ@DP@nt\let\tmp\@empty\else\def\tmp{^{\the\@EQ@DP@nt}}\fi
        \frac{\partial\tmp#2}{\@EQ@DP@x}}%
%
    \def\@EQ@DP@bgroup#1{\@EQ@DP@eat{#1}}
    
    \gdef\@EQ@DP@eat#1{%
        \let\@EQ@DP@tmpa\@empty
        \g@addto@macro\@EQ@DP@tmpa{#1}
        \ifx\@EQ@DP@oldx\@EQ@DP@tmpa
        \else% new symbol added
           \ifx\@EQ@DP@oldx\@empty\else
              \g@addto@macro\@EQ@DP@x{\partial\bgroup}
              \expandafter\g@addto@macro\expandafter\@EQ@DP@x\expandafter{\@EQ@DP@oldx\egroup}
              \ifnum\@ne=\@EQ@DP@n\else%
                 \edef\@EQ@DP@tmpb{\noexpand\g@addto@macro\noexpand\@EQ@DP@x{^{\the\@EQ@DP@n}}}
                 \@EQ@DP@tmpb
              \fi
              \global\advance\@EQ@DP@nt by \@EQ@DP@n\global\@EQ@DP@n=\z@
           \fi
           \global\let\@EQ@DP@oldx\@EQ@DP@tmpa
        \fi
        \global\advance\@EQ@DP@n by \@ne
        \ifx#1\end\else\expandafter\@EQ@DP@parsea\fi
    }

    \newcommand{\DIV}[1]{\nabla\cdot#1}
    \newcommand{\GRAD}[1]{\nabla#1}
    \newcommand{\LAPLA}[1]{\Delta#1}
        
    \newcommand{\SUM}{\@ifnextchar[\@SUM\@@SUM}
    \def\@SUM[#1]#2#3{{\sum\limits_{#2}^{#3}\!\vphantom{\sum\limits_{#2}^{#3}}^{^{(#1)}}}}
    \def\@@SUM#1#2{\sum\limits_{#1}^{#2}}
    
    \newcommand{\PROD}{\@ifnextchar[\@PROD\@@PROD}
    \def\@PROD[#1]#2#3{{\prod\limits_{#2}^{#3}\!\vphantom{\prod\limits_{#2}^{#3}}^{^{(#1)}}}}
    \def\@@PROD#1#2{\prod\limits_{#1}^{#2}}
    
    
    \def\@EQ@parse@extra{%
    \gdef\@EQ@bformat{\vcenter\bgroup\normalbaselines\m@th\ialign\bgroup}%
    \global\let\@EQ@cmdadd\@empty\@EQ@parsea}
    
    \newenvironment{ARRAY}[1]
    {\expandafter\@EQ@parse@extra#1\end\let\@EQ@rowsep\smallskip\let\\\@EQ@CR\@EQ@bformat\crcr}
    {\crcr\egroup\egroup}
    
    \newenvironment{MATRIX}
    {\,\vcenter\bgroup\everycr{}\let\@EQ@rowsep\smallskip\let\\\@EQ@CR
    \halign\bgroup\hfil$\mathstrut##$\hfil&amp;&amp;\quad\hfil$\mathstrut##$\hfil\crcr}
    {\crcr\egroup\egroup\,}
    
} 

\@easy@enable@space

\let\@EQ@file@input\jobname

\DeclareOption{warning}{%
   \newcount\@EQ@level\@EQ@level=\@ne%
   \xdef\@EQ@file@inputi{\jobname.tex}
   \xdef\@EQ@file@input{\jobname.tex}
   \global\let\@EQ@old@input\input
   \gdef\@EQ@input@shade{%
       \@ifnextchar\bgroup{\@EQ@input}{%
       \PackageWarning{`easyeqn'}%
       {you must use \string\input\space with file within braces for
        correct cross referencing}\@EQ@old@input}%
   }
   \gdef\@EQ@input#1{%
       \global\advance\@EQ@level by \@ne
       \expandafter\xdef\csname @EQ@file@input\romannumeral\@EQ@level\endcsname{#1}
       \xdef\@EQ@file@input{\csname @EQ@file@input\romannumeral\@EQ@level\endcsname}
       \@EQ@old@input{#1}%
       \global\advance\@EQ@level by \m@ne
       \xdef\@EQ@file@input{\csname @EQ@file@input\romannumeral\@EQ@level\endcsname}
   }
   \global\let\@EQ@old@input\input%
   \AtBeginDocument{\global\let\input\@EQ@input@shade}%
   \AtEndDocument{\global\let\input\@EQ@old@input}%

   \gdef\@EQ@write@warning#1{%
       \edef\@temp{\noexpand\AtEndDocument{\noexpand\PackageWarningNoLine{`easyeqn'}%
                  {Label `#1' may be not referenced, in \@EQ@file@input\space line \the\inputlineno}}}%
       \@temp%
   }
}

\DeclareOption{easyold}{%

    \def\EQS{\@EQ@NUMBER\@easy@ifnextchar[\@EQ@ALIGN{\@EQ@ALIGN[rl]}}
    \let\endEQS\end@EQ@ALIGN
 
    \@easy@def(EQ*) {\@EQ@NO@NUMBER\@easy@ifnextchar[\@EQ@ALIGN{\@EQ@ALIGN[c]}}
    \@easy@def(EQS*){\@EQ@NO@NUMBER\@easy@ifnextchar[\@EQ@ALIGN{\@EQ@ALIGN[rl]}}
    \@easy@def(EQA*){\@EQ@NO@NUMBER\@easy@ifnextchar[\@EQ@A@ALIGN{\@EQ@A@ALIGN[rl]}}

    \@easy@let(EQ*) {end@EQ@ALIGN}
    \@easy@let(EQS*){end@EQ@ALIGN}
    \@easy@let(EQA*){end@EQ@A@ALIGN}
}

\def\@EQ@warning@nolabel{%
    \PackageWarning{`easyeqn'}%
    {\string\label\space and \string\eqlabel\space disabled in EQx* environments}
}

\@easy@disable@space

\def\@EQ@newreference#1{\@easy@glet(r@eq@#1){@empty}}
\def\@EQ@addreference#1{\@bsphack\protected@write\@auxout{}{\string\@EQ@newreference{#1}}\@esphack}

\def\refeq#1{\protect\@EQ@addreference{#1}\@EQ@old@ref{#1}}
\def\eqref#1{\hbox{\@EQ@base@format(\refeq{#1})}}

\def\@EQ@write@warning#1{}

\def\@EQ@NUMBER{\let\label\eqlabel\@EQ@reset@numbering}
\def\@EQ@NO@NUMBER{\let\label\@EQ@warning@nolabel}

\eqrowsep{7pt}
\equationcenter
\eqspacing{12pt plus 3pt minus 3pt}

\ProcessOptions

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\@EQ@base@format{\normalfont\normalcolor}%
\def\@EQ@base@eqnum{\@EQ@base@format(\theequation)}%
\def\@EQ@stepnumber{\refstepcounter{equation}}

\newcommand{\yesnumber}{%
\@EQ@stepnumber%
\global\let\if@EQ@numbering\iftrue%
\global\let\@EQ@eqnum\@EQ@base@eqnum}

\newcommand{\eqlabel}{\global\let\@EQ@eqnum\@EQ@base@eqnum\@ifnextchar[\@EQ@a\@EQ@x}
\def\@EQ@x{\@ifnextchar(\@EQ@b\@EQ@c}
\def\@EQ@a[#1]{\@EQ@customlabel{#1}{#1}}
\def\@EQ@b(#1){\@EQ@customlabel{(#1)}{#1}}
\def\@EQ@customlabel#1#2{%
   \begingroup
      \def~{\theequation}
      \xdef\@EQ@eqnum{\noexpand\@EQ@base@format#1}
      \xdef\@currentlabel{#2}
   \endgroup
   \global\let\if@EQ@numbering\iftrue
   \@ifnextchar\bgroup{\@EQ@d}{}}

\def\@EQ@c#1{%
   \@EQ@SK@label{#1}
   \@ifundefined{r@eq@#1}{\@EQ@write@warning{#1}}
   {\@EQ@stepnumber\global\let\if@EQ@numbering\iftrue\@EQ@old@label{#1}}
}

\def\@EQ@d#1{\@EQ@SK@label{#1}\@EQ@old@label{#1}}

\def\@EQ@CR{\global\let\@EQ@eqbox@do\@EQ@eqbox{\ifnum0=`}\fi\@EQ@CR@}
\def\@EQ@CR@{\@ifnextchar[\@EQ@CR@@{\@EQ@CR@@[\z@]}}
\def\@EQ@CR@@[#1]{%
    \ifnum0=`{\fi}
    \crcr\noalign{\@EQ@rowsep\vskip#1\relax}
}

\def\@EQ@NL{{\ifnum0=`}\fi\@EQ@NL@}
\def\@EQ@NL@{\@ifnextchar[\@EQ@NL@@{\@EQ@NL@@[\z@]}}
\def\@EQ@NL@@[#1]{%
   \ifnum0=`{\fi}&amp;\@EQ@NUM%
   \@EQ@reset@numbering\crcr\noalign{\@EQ@rowsep\vskip#1\relax}
}

\newcommand{\eqmulticol}[3]{%
   \multispan{#1}
   \ifx#2l\else\hfil\fi
   $\displaystyle#3$
   \ifx#2r\else\hfil\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Do Label
 
\def\@EQ@SK@label#1{}
\let\@EQ@SK@left\@empty
\let\@EQ@SK@right\@empty

\def\@EQ@NUM@LEFT{\llap{\hb@xt@\displaywidth{\@EQ@SK@left\if@EQ@numbering\@EQ@eqnum\fi\hss}}}
\def\@EQ@NUM@RIGHT{\@EQ@SK@right\if@EQ@numbering\llap{\@EQ@eqnum}\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Parser zone
\def\@EQ@addcol{%
   \g@addto@macro\@EQ@bformat{\tabskip\z@skip\hskip\@EQ@col@sep&amp;\hskip\@EQ@col@sep}}

\def\@EQ@addcola{%
   \g@addto@macro\@EQ@bformat{\tabskip\z@skip&amp;}}

\def\@EQ@parse{%
   \gdef\@EQ@bformat{\everycr{}\@EQ@indent\halign to\displaywidth\bgroup}%
   \global\let\@EQ@cmdadd\@empty\@EQ@parsea}

\def\@EQ@parsea#1{\ifx#1\end\else\@EQ@cmd{#1}\expandafter\@EQ@parsea\fi}%

\def\@EQ@alignl{\g@addto@macro\@EQ@bformat{$\displaystyle##$\hfil}}
\def\@EQ@alignr{\g@addto@macro\@EQ@bformat{\hfil$\displaystyle##$}}
\def\@EQ@alignc{\g@addto@macro\@EQ@bformat{\hfil$\displaystyle##$\hfil}}

\def\@EQ@cmd#1{%
   \ifx#1.
       \global\let\@EQ@cmdadd\@EQ@addcola%
   \else
       \@EQ@cmdadd
       \global\let\@EQ@cmdadd\@EQ@addcol%
       \expandafter\let\expandafter\@tempa\csname @EQ@align#1\endcsname
       \ifx\@tempa\relax\PackageWarningNoLine{`easyeqn'}
          {Alignment\space`#1'\space not \space defined \space
                           `c'\space substituted,\space in \space
                           \@EQ@file@input\space line\space \the\inputlineno}
          \@EQ@alignc
       \else
          \@tempa
       \fi
   \fi}
   
\def\@EQ@skip{\vskip\baselinestretch\floatsep}
\def\eqlabeltop{\def\@EQ@eqbox##1{\vtop{##1\@EQ@skip}}}
\def\eqlabelbot{\def\@EQ@eqbox##1{\vbox{\@EQ@skip##1}}}
\def\eqlabelcenter{\def\@EQ@eqbox##1{\vbox{\@EQ@skip}\vcenter{##1}\vbox{\@EQ@skip}}}

\eqlabelcenter


\newbox\@EQ@EQN@BOX
%
\def\@EQ@A@ALIGN[#1]{%
  \expandafter\@EQ@parse#1\end
  \let\\\@EQ@NL%
  $$\@EQ@surround\@EQ@bformat\tabskip\@centering&amp;\tabskip\z@skip\hb@xt@\z@{\hss##}\crcr}
%
\def\end@EQ@A@ALIGN{&amp;\@EQ@NUM\crcr\egroup$$\@ignoretrue}

\def\@EQ@ALIGN[#1]{%
  \expandafter\@EQ@parse#1\end
  \let\\\@EQ@CR%
%   \def\@EQ@eqbox@do##1{\vbox{\@EQ@skip}\vbox{##1}\vbox{\@EQ@skip}}
  \let\@EQ@eqbox@do\vbox
  $$\@EQ@surround\setbox\@EQ@EQN@BOX\vbox\bgroup\@EQ@bformat\tabskip\@centering\crcr}
%
\def\end@EQ@ALIGN{\crcr\egroup\egroup\@EQ@eqbox@do{\unvbox\@EQ@EQN@BOX}\@EQ@NUM$$\@ignoretrue}

\def\EQ{\@EQ@NUMBER\@easy@ifnextchar[\@EQ@ALIGN{\@EQ@ALIGN[c]}}
\let\endEQ\end@EQ@ALIGN

\def\EQA{\@EQ@NUMBER\@easy@ifnextchar[\@EQ@A@ALIGN{\@EQ@A@ALIGN[rcl]}}
\let\endEQA\end@EQ@A@ALIGN


\AtBeginDocument{%
%
  \let\@EQ@old@ref\ref
  \let\@EQ@old@label\label
%
  \@ifundefined{SK@label}{%
  }{%
    \def\@EQ@SK@left{\llap{\@EQ@SK@lab\kern\marginparsep}\global\let\SK@lab\@empty}
    \def\@EQ@SK@right{\rlap{\kern\marginparsep\@EQ@SK@lab}\global\let\SK@lab\@empty}
    \def\@EQ@SK@label#1{%
       \gdef\@EQ@SK@lab{%
         \edef\@tempa{#1}
         \smash{\SK@labelcolor\fbox{\normalfont\small\ttfamily\expandafter\strip@prefix\meaning\@tempa}}%
       }
    }
    \@ifundefined{ltx@label}{\let\@EQ@old@label\SK@label}{}
  }
  \if@EQ@number@left\numberleft\else\numberright\fi
  \let\if@EQ@number@left\relax
}

\@easy@enable@space

\endinput
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