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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% mhequ.sty v1.61, Copyright 2005 by Martin Hairer
% This package is public domain. You are strongly encouraged to
% use it and to widespread it.
%
% You may download the latest version of this package on my homepage:
%
% http://www.hairersoft.com/LaTeXUtils.html
%
% Notes:
% Version 1.5 supports the packages "showkeys" (thus the [draft] option is suppressed)
% and "hyperref".
%
% Options:
%
% [lefttag] : Puts equation numbers to the left side of the page
% [righttag]: Puts equation numbers to the right side of the page (default)
%
% Syntax:
%
% \begin{equ}[label]
%
% label : if a label is given, the equation is numbered. (default : no label)
%
% \begin{equs}[n][label]
%
% Creates a multiline / multicolumn equation environment.
%
% n : number of columns. (default : 1) You can also choose n=0.
% label : if a label is given, the environment is numbered. (one tag for the whole block)
% The order of [n] and [label] is irrelevant.
%
% If no label is given, one can number each line of the block individually by
% using the \label command.
%
% In the equs environment, the number of '&' signs per line has to be equal to
% 2*n-1 if n>0 and to 0 if n=0. If there are less '&' signs, they are automatically
% appended at the end of the line.
%
% Provided commands:
%
% \tag{theTag} Replaces the number of the current equation by "theTag"
%
% \minilab{label} If "label" has already been used, switches to the minilab "label".
% If not, creates a new minilab. Inside a minilab, equations are labelled
% (1a), (1b),... instead of (1), (2), etc... You can refer to the number
% of the minilab with \ref.
%
% \setlabtype{style} Sets the style of the numbering of the minilab. Default is
% \setlabtype{alph}.
%
% \intertext{material} Inserts 'material' between two lines in normal text mode.
%
% \multicol{n}{material} Spans n columns of the equation array with 'material'. It
% has to be placed between two & signs, or at the end or the start
% of the line.
%
% \text{material} Creates a \hbox containing 'material'.
%
% Warnings:
%
% If you use the \tag command, a quite large number of runs may be needed in
% order to get the desired output.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{mhequ}
\DeclareOption{righttag}{\global\@leftfalse}
\DeclareOption{lefttag}{\global\@lefttrue}
\DeclareOption{fleqn}{\global\@flushtrue}
\DeclareOption{leqno}{\global\@lefttrue}
\newif\if@haslab
\newif\if@useminilab
\newcount\@nocols
\newcount\@nocolstot
\newif\if@tag
\newif\if@left
\newif\if@flush
\@haslabfalse
\ProcessOptions
\def\MH@changecodes{\catcode`\:=12\catcode`\,=12\catcode`\.=12%
\catcode`\'=12\catcode`\*=12\catcode`\&=12}
\def\@MHputleft#1{\hb@xt@.01\p@{}\rlap{\hskip-\displaywidth#1\@MHputnumber}}
\def\@MHputright#1{\hb@xt@.01\p@{}\llap{#1\@MHputnumber}}
\if@left\let\@MHput@lbl\@MHputleft%
\else\let\@MHput@lbl\@MHputright\fi
\def\@MHref#1{\@ifundefined{r@#1}{??}{\@saveref{#1}}}
%%%%% Computes the length of its argument
\newcount\@MHLength
\def\computelength#1{\@MHLength=0 \getlength#1\end}
\def\getlength#1{\ifx#1\end \let\next=\relax \else \advance\@MHLength by1 \let\next=\getlength \fi \next}
\def\@makelabel#1{\stepcounter{equation}\global\def\@mylabel{#1}%
\@ifundefined{c@lab@#1}{\newcounter{lab@#1}}{}\setcounter{lab@#1}{0}%
\immediate\write\@auxout{\string\@ifundefined{c@lab@#1}{\string\newcounter{lab@#1}}%
{}\string\setcounter{lab@#1}{0}}%
\global\expandafter\let\expandafter\c@MHCurrentCount\csname c@lab@#1\endcsname%
\global\@namedef{MHused@#1}{}%
\def\@currentlabel{\theequation}\MHsavelabel{#1}%
}
\def\@uselabel#1{\global\def\@mylabel{#1}
\global\expandafter\let\expandafter\c@MHCurrentCount\csname c@lab@#1\endcsname
}
\def\@MHreset{\global\def\@MHeqno{\theequation}\global\@useminilabfalse\global\@haslabfalse}
\def\@MHbuildlab#1{\@ifundefined{r@#1}%
{\global\def\@MHeqno{??\sublabeltype{MHCurrentCount}}}%
{\global\def\@MHeqno{\ref{\@mylabel}\sublabeltype{MHCurrentCount}}}%
}
\def\@MHUseLab#1{\@MHbuildlab{#1}\global\@useminilabtrue}
\def\@minilab#1{\let\MHsavelabel=\label%
\@MHUseLab{#1}\@ifundefined{MHused@#1}%
{\@makelabel{#1}}{\@uselabel{#1}}%
\let\label=\MHsavelabel\egroup\global\@ignoretrue}
\def\minilab{\bgroup\MH@changecodes\@minilab}
\newskip\MHcenter \MHcenter=0pt plus 1000pt minus 1000pt
\newskip\MHbig \MHbig=1000pt plus 0pt minus 1000pt
\newskip\@MHlineskip
\def\openup{\afterassignment\@penup\dimen@=}
\def\@penup{\advance\lineskip\dimen@
\advance\baselineskip\dimen@
\advance\lineskiplimit\dimen@}
\newif\ifdt@p
\def\displ@y{\global\dt@ptrue\openup\jot\m@th
\everycr{\noalign{\ifdt@p \global\dt@pfalse \ifdim\prevdepth>-1000\p@
\vskip-\lineskiplimit \vskip\normallineskiplimit \fi
\else \vskip\@MHlineskip\penalty\interdisplaylinepenalty \fi}}}
\def\@lign{\tabskip\z@skip\everycr{}}%% restore inside \displ@y
\def\displaylines#1{\displ@y \tabskip\z@skip
\halign{\hbox to\displaywidth{$\@lign\hfil\displaystyle##\hfil$}\crcr
#1\crcr}}
\def\@MHcrl{{\ifnum0=`}\fi\@ifnextchar[{\@MHcrlwith}{\@MHcrlwith[\z@]}}
\def\@MHcrlwith[#1]{\ifnum0=`{\fi}\MH@dd@nds&\global\@MHlineskip=#1\cr}
\def\@MHcrb{{\ifnum0=`}\fi\@ifnextchar[{\@MHcrbwith}{\@MHcrbwith[\z@]}}
\def\@MHcrbwith[#1]{\ifnum0=`{\fi}\MH@dd@nds\global\@MHlineskip=#1\cr}
\def\@MHlabel#1{\global\@haslabtrue\global\def\@MHcurrentlabel{#1}}
\def\@MHwritelabel{\def\@currentlabel{\@MHeqno}%
\if@left\kern\displaywidth\kern0.2truecm\else\kern0.2cm\fi%
\MHsavelabel{\@MHcurrentlabel}%
\if@left\kern-\displaywidth\kern-0.2truecm\else\kern-0.2cm\fi}
\def\@MHstep{\if@tag\else\if@useminilab\refstepcounter{MHCurrentCount}%
\else\refstepcounter{equation}\fi\fi}
\def\@MHputnumber{\if@haslab\@MHstep\if@left\@MHwritelabel\fi%
\hbox{\rm(\@MHeqno)}%
\if@left\else\@MHwritelabel\fi%
\fi\global\@haslabfalse}
\def\@saveMHComms{\@restoretag\let\MHsavecr=\\\let\\=\@MHcr\let\@saveref=\ref\let\ref=\@MHref%
\let\MHsavelabel=\label\let\label=\@MHlabel\let\@MHsavemult\multicol%
\let\multicol\@MHspan\let\@MHsavetext\text\let\text\hbox}
\def\@restoreMHComms{\let\\=\MHsavecr\let\label=\MHsavelabel\@MHreset\let\ref=\@saveref%
\let\multicol\@MHsavemult\let\text\@MHsavetext}
%% Preamble commands
\def\MHpre@ne{\MHs@tr@m\hfil$\MH@lign\displaystyle{\MHsh@rp}$\tabskip\z@skip&%
\MHdecrt@t$\MH@lign\displaystyle{{}\MHsh@rp}$}
\def\MHpretw@{\tabskip\z@skip&\hfil\MHdecrt@t$\MH@lign\displaystyle{\MHsh@rp}$%
\tabskip\z@skip&\MHdecrt@t$\MH@lign\displaystyle{{}\MHsh@rp}$}
\def\MHprethr@@{\hfil\tabskip\MHcenter&\tabskip\z@skip\my@MHput{\MHsh@rp}\crcr}
\def\MHprethr@@notag{\hfil\tabskip\MHcenter\crcr}
\def\MHd@cr{\global\advance\MHrem@inc@ls by -1}
\def\@MHspan#1#2{\multispan{#1}\ifnum\MHrem@inc@ls<1\global\MHrem@inc@ls=\MHt@tc@ls
\global\advance\MHrem@inc@ls by 1\fi%
\global\advance\MHrem@inc@ls by -#1%
{\hfill$\displaystyle{#2}$\hfill}}
%% Building the preamble
\newcount\MHC@ls
\newcount\MHt@tc@ls
\newcount\MHrem@inc@ls
\def\MH@ddonecol{\xdef\MHpre@mble{\MHpre@mble\MHpretw@}}
\def\MH@ddcols{\if\the\MHC@ls1\let\comm\relax\else%
\global\advance\MHt@tc@ls by 2%
\MH@ddonecol\advance\MHC@ls by -1%
\let\comm\MH@ddcols\fi\comm}
\def\MHm@kepre@mble#1{
\if#10
\global\MHt@tc@ls=0
\xdef\MHpre@mble{\MHs@tr@m\hfil$\MH@lign\displaystyle{\MHsh@rp}$\MHpre@nd}
\else
\MHC@ls=#1
\global\MHt@tc@ls=1
\xdef\MHpre@mble{\MHpre@mble\MHpre@ne}
\MH@ddcols
\xdef\MHpre@mble{\MHpre@mble\MHpre@nd}
\fi
}
%% Build enough & signs to fill up the box
\def\MHm@ke@nds{\if\the\MHrem@inc@ls0\let\comm\relax\else%
\xdef\MH@nds{\MH@nds &}\global\advance\MHrem@inc@ls by -1%
\let\comm\MHm@ke@nds%
\fi\comm}
\def\MH@dd@nds{\def\MH@nds{}\MHm@ke@nds\MH@nds}
\def\MHr@mto@ne{\global\MHrem@inc@ls=\MHt@tc@ls}
\def\MH@initone{\gdef\MHpre@mble{}
\let\MH@restoretag\relax\let\MHsh@rp\relax\let\MH@lign\relax
\let\my@MHput\relax\let\MHdecrt@t\relax\let\MHs@tr@m\relax%\let\@MHfill\relax
}
\def\MH@inittwo{\let\MH@restoretag\@restoretag\let\MHsh@rp##\let\MH@lign\@lign
\let\my@MHput\@MHput@lbl\let\MHdecrt@t\MHd@cr\let\MHs@tr@m\MHr@mto@ne%\let\@MHfill\my@fill
\MHpre@mble
}
\def\@newalign#1{\displ@y\tabskip\MHcenter
\MH@initone
\let\MHpre@nd\MHprethr@@
\MHm@kepre@mble{#1}
\xdef\MHpre@mble{\halign to\displaywidth\bgroup\MH@restoretag\MHpre@mble}
\MH@inittwo
}
\def\@newbalign#1{\vcenter\bgroup\displ@y\tabskip\MHcenter
\MH@initone
\let\MHpre@nd\MHprethr@@notag
\MHm@kepre@mble{#1}
\xdef\MHpre@mble{\halign to\displaywidth\bgroup\MHpre@mble}
\MH@inittwo
}
\def\@begalign[#1]{\global\let\@MHcr\@MHcrl$$\@saveMHComms\@newalign{#1}}
\def\@ealign{\@MHcr\egroup}
\def\@restoretag{\if@tag\global\@tagfalse\global\let\@MHeqno=\@MHsaveno\fi}
\def\@MHtag#1{%
\global\@tagtrue\global\let\@MHsaveno=\@MHeqno%
\global\def\@MHeqno{#1}\egroup}
\def\tag{\bgroup\MH@changecodes\@MHtag}
\def\@equnolabel{\global\@haslabfalse}
\def\@equlabel[#1]{\label{#1}\global\@haslabtrue}
\def\@ealignb{\@MHcr\egroup\egroup}
\def\@equbopt[#1]{\computelength{#1}\ifnum\@MHLength=1\@nocols=#1\else
\label{#1}\global\@haslabtrue\fi
\@ifnextchar[{\@equbopt}{\@equb}}
\def\@equb{\@newbalign{\the\@nocols}}
%\def\equa{\global\let\@MHcr\@MHcrb%
% $$\@saveMHComms\global\@nocols=1%
% \@ifnextchar[{\@equbopt}{\@equb}}
%\def\endequa{\@ealignb\if@haslab\@MHput@lbl{}\fi%
% \@restoreMHComms$$\global\@ignoretrue}
\if@flush
\def\equ{\@saveMHComms
\@beginparpenalty\predisplaypenalty
\@endparpenalty\postdisplaypenalty
\trivlist\item[]\leavevmode
\hb@xt@\linewidth\bgroup $\m@th% $
\displaystyle
\hskip\mathindent\@ifnextchar[\@equlabel\@equnolabel}
\def\endequ{%
$\hfil % $
\displaywidth\linewidth\hbox{\@MHputnumber}%
\egroup
\endtrivlist\@restoreMHComms\global\@ignoretrue}
\else
\def\equ{$$\@saveMHComms\@ifnextchar[\@equlabel\@equnolabel}
\def\endequ{%
\if@haslab\if@left\leqno\else\eqno\fi{\@MHputnumber}\fi%
\@restoreMHComms$$\global\@ignoretrue}
\fi
%\def\equs{\@ifnextchar[{\@begalign}{\@begalign[1]}}
%\def\endequs{\@ealign\@restoreMHComms$$\global\@ignoretrue}
\newif\if@isequa
\def\@analyzearg[#1]{\computelength{#1}\ifnum\@MHLength=1\@nocols=#1\else
\@MHlabel{#1}\global\@isequatrue\fi%
\@ifnextchar[{\@analyzearg}{\if@isequa%
\global\let\@MHcr\@MHcrb%
$$\@saveMHComms\@equb%
\else\@begalign[\the\@nocols]\fi}}
\def\@endequs{\@ealign\@restoreMHComms$$}
\def\@endequa{\@ealignb\if@haslab\@MHput@lbl{}\fi%
\@restoreMHComms$$}
\def\equs{\global\@isequafalse\@nocols=1\@ifnextchar[{\@analyzearg}{\@begalign[1]}}
\def\endequs{\if@isequa\@endequa\else\@endequs\fi\global\@ignoretrue}
\let\equa\equs
\let\endequa\endequs
\def\setlabtype#1{\global\expandafter\let\expandafter\sublabeltype\csname #1\endcsname}
\@MHreset
\let\sublabeltype=\alph
\def\intertext#1{\noalign{\noindent#1}}
\def\strutdepth{0pt}
\def\@MHmargin#1{\strut\vadjust{\kern-\strutdepth\@MHspecial{#1}}}
\def\@MHspecial#1{\vtop to \strutdepth{\baselineskip\strutdepth\vss\llap{#1}\null}}
\let\MHgobble\@gobblecr
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