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%%
%% pmat.sty, version 0.1
%%
%% Tom\'as Oliveira e Silva, January 1996
%%
%% Partitioned matrix code. Works under TeX and LaTeX (all versions)
%% Unfortunately, the syntax of pmat is much closer to that of TeX
%% than to that of LaTeX.
%%
%
% Avoid loading this file more than once
%
\expandafter\ifx\csname pmat@iter\endcsname\relax\else\endinput\fi
%
% Make @ a letter
%
\expandafter\edef\csname pmat@catcode\endcsname
{\catcode`\string @=\the\catcode`\@}
\catcode`\@=11
%
% How to select the dash shape
% cross (A): horizontal and vertical dash lines cross each other
% nocross (B): horizontal and vertical dash lines do not cross each other
%
\def\pmatcross{\def\pmat@hdash{\pmat@hdashA}\def\pmat@vdash{\pmat@vdashA}}
\def\pmatnocross{\def\pmat@hdash{\pmat@hdashB}\def\pmat@vdash{\pmat@vdashB}}
\pmatcross %The default
%
% Debug flag
%
\newif\ifpmat@debug\pmat@debugfalse
%
% Extra facilities are provided under LaTeX2e
%
\ifx\ProvidesPackage\undefined\else
\ProvidesPackage{pmat}[1996/01/01 v0.1]
\DeclareOption{debug}{\pmat@debugtrue}%Undocumented feature
\DeclareOption{cross}{\pmatcross}
\DeclareOption{nocross}{\pmatnocross}
\ProcessOptions
\fi
%
% Debug code. If enabled it draws a bounding box around each matrix entry.
%
\ifpmat@debug
\def\pmat@hidehrule#1#2{\kern-#1%
\hrule height#1 depth#2 \kern-#2}
\def\pmat@hidevrule#1#2{\kern-#1{\dimen0=#1%
\advance\dimen0 by#2\vrule width\dimen0}\kern-#2}
\def\pmat@makeblankbox#1#2{\hbox{\lower\dp0\vbox{\pmat@hidehrule{#1}{#2}%
\kern-#1 \hbox to \wd0{\pmat@hidevrule{#1}{#2}%
\raise\ht0\vbox to #1{}%
\lower\dp0\vtop to #1{}%
\hfil\pmat@hidevrule{#2}{#1}}%
\kern-#1\pmat@hidehrule{#2}{#1}}}}
\fi
%
% All pmat internal parameters can be accessed/changed externaly through
% the macros \pmatget and \pmatset (to hide the names of the parameters).
% Currently there are 7 parameters defined:
%
% 0 pmat@dashwidth ------- length of one dash ``unit''
% 1 pmat@dashheight ------ thickness of the dash lines
% 2 pmat@minlinegap ------ the minimum gap between lines
% 3 pmat@mincolumngap ---- the minimum gap between columns
% 4 pmat@minentrywidth --- minimum width of each entry of the matrix
% 5 pmat@minentryheight -- minimum height of each entry of the matrix
% 6 pmat@minentrydepth --- minimum depth of each entry of the matrix
%
\newdimen\pmat@dashwidth\pmat@dashwidth=2.88pt
\newdimen\pmat@dashheight\pmat@dashheight=.36pt
\newdimen\pmat@minlinegap\pmat@minlinegap=2pt
\newdimen\pmat@mincolumngap\pmat@mincolumngap=8pt
\newdimen\pmat@minentrywidth\pmat@minentrywidth=0pt
\newdimen\pmat@minentryheight\pmat@minentryheight=6pt
\newdimen\pmat@minentrydepth\pmat@minentrydepth=1.5pt
%% 2.88 and .36pt correspond to an integral number of pixels at
%% 400dpi and 600 dpi.
%% minentrydepth+0.5(minlinegap+dashheight) should be smaller than dashwidth
\def\pmatget#1{\ifcase#1\pmat@dashwidth\or\pmat@dashheight\or
\pmat@minlinegap\or\pmat@mincolumngap\or\pmat@minentrywidth\or
\pmat@minentryheight\or\pmat@minentrydepth\fi}
\def\pmatset#1#2{\ifcase#1\pmat@dashwidth=#2\or\pmat@dashheight=#2\or
\pmat@minlinegap=#2\or\pmat@mincolumngap=#2\or\pmat@minentrywidth=#2\or
\pmat@minentryheight=#2\or\pmat@minentrydepth=#2\fi}
%
% Some useful macros
%
\def\pmat@roundup#1{\advance\dimen#1 by \pmat@dashwidth
\advance\dimen#1 by -1sp
\divide\dimen#1 by \pmat@dashwidth
\multiply\dimen#1 by \pmat@dashwidth}
\def\pmat@normalizebox#1{\setbox0=\hbox{#1}%
\ifdim\wd0>\pmat@minentrywidth
\dimen0=\wd0\else\dimen0=\pmat@minentrywidth\fi
\ifdim\ht0>\pmat@minentryheight
\dimen2=\ht0\else\dimen2=\pmat@minentryheight\fi
\ifdim\dp0>\pmat@minentrydepth
\dimen4=\dp0\else\dimen4=\pmat@minentrydepth\fi
\advance\dimen0 by.5\pmat@mincolumngap\advance\dimen0 by\pmat@dashheight
\advance\dimen2 by.5\pmat@minlinegap\advance\dimen2 by.5\pmat@dashheight
\advance\dimen4 by.5\pmat@minlinegap\advance\dimen4 by.5\pmat@dashheight
\pmat@roundup0\advance\dimen0 by-\wd0\pmat@roundup2\pmat@roundup4%
\hbox{\vrule width 0pt height\dimen2 depth\dimen4%
\kern.5\dimen0%
\ifpmat@debug
\copy0\kern-\wd0\pmat@makeblankbox{0pt}{0.1pt}%
\else
\box0%
\fi
\kern.5\dimen0}}
\def\pmat@hdashA{\cleaders\hbox to \pmat@dashwidth{\hss\vrule
width .5\pmat@dashwidth height .5\pmat@dashheight depth .5\pmat@dashheight
\hss}\hfill}
\def\pmat@hdashB{\cleaders\hbox to \pmat@dashwidth{\vrule
width .25\pmat@dashwidth height .5\pmat@dashheight depth .5\pmat@dashheight
\hss\vrule
width .25\pmat@dashwidth height .5\pmat@dashheight depth .5\pmat@dashheight
}\hfill}
\def\pmat@vdashA{\cleaders\vbox to \pmat@dashwidth{\vss\hrule
width \pmat@dashheight height .5\pmat@dashwidth depth 0pt\vss}\vfill}
\def\pmat@vdashB{\cleaders\vbox to \pmat@dashwidth{\hrule
width \pmat@dashheight height .25\pmat@dashwidth depth 0pt\vss\hrule
width \pmat@dashheight height .25\pmat@dashwidth depth 0pt}\vfill}
\def\pmat@iter#1{\ifx#1\end\let\next=\relax\else
\let\next=\pmat@iter\edef\pmat@arg{#1\pmat@arg}%
\edef\pmat@omit{\omit\hfil&\pmat@omit}\fi\next}
\def\pmat@build#1{\let\pmat@arg=\empty\def\pmat@omit{\omit\hfil\cr}%
\pmat@iter#1\end}
\def\pmat@nextitem#1#2\end{\def\pmat@arg{#2}%\message{(#1)}
\global\setbox3=\hbox{\kern\wd0\if#1|\kern-.5\pmat@dashheight
\copy2\kern-.5\pmat@dashheight\fi\unhbox3}}
%
% The main pmat macros
%
\def\pmat#1#2#3{\def\pmat@delimL{#1}\pmat@build{#2}\def\pmat@delimR{#3}%
\setbox0=\hbox{$\left#1 TEST \right#3$}%To test delimiters
\setbox0=\vbox\bgroup\offinterlineskip\tabskip=0pt%
\everycr{}\def\-{\noalign{\penalty 1}}%
\halign\bgroup&\hfil\pmat@normalizebox{$##$}\hfil\cr}
\def\endpmat{\pmat@omit
\egroup\egroup
\dimen0=\ht0\advance\dimen0 by\dp0%
\setbox2=\vbox to \dimen0{\kern.5\pmat@dashwidth
\pmat@vdash\kern.5\pmat@dashwidth}%
\ht2=\ht0\dp2=\dp0%
\setbox4=\hbox to \wd0{\kern.5\pmat@dashwidth
\pmat@hdash\kern.5\pmat@dashwidth}%
\ht4=0pt\dp4=0pt%
\setbox0=\vbox{\offinterlineskip\unvbox0%
\global\setbox1=\vbox{}%
\setbox0=\lastbox
%% Unpack and process last hbox of alignment (generated by \pmat@omit)
\setbox0=\hbox{\unhbox0\unskip
\setbox0=\lastbox
\global\setbox3=\hbox{\kern\wd0}%
\loop
\unskip\setbox0=\lastbox
\ifhbox0\expandafter\pmat@nextitem\pmat@arg-\end\repeat}%
%% Place dashed lines where requested between the lines of the alignment
\loop
\skip0=\lastskip\unskip
\ifnum\lastpenalty>0\unpenalty\global\setbox1=\vbox{\copy4\unvbox1}\fi
\setbox0=\lastbox
\ifhbox0\global\setbox1=\vbox{\box0\unvbox1}\repeat}%
% \delimmiterfactor=975
% \delimitershortfall=2pt
\left\pmat@delimL
\dimen0=\wd3\vcenter{\hbox{\kern-.4\pmat@dashwidth
\raise-\dp1\box3\kern-\dimen0\box1\kern-.4\pmat@dashwidth}}%
\right\pmat@delimR
}
%
% restore catcode of @
%
\pmat@catcode
%
% That's all, folks!
%
\endinput
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