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% For changes search for "vs. 2.1".
%
% TreeTeX is a public domain macro package for drawing
% trees with TeX. It may be freely distributed, provided
% that the following files are kept together:
%
% classes.tex, l_pic.tex, readme, tree_doc.aux, tree_doc.bbl
% tree_doc.dvi, tree_doc.tex, treetex.tex
%
% Copyright is with Anne Brueggemann-Klein and Derick Wood.
% Print tree_doc.dvi to get more information about TreeTeX.
%
% All remarks, bug reports etc. should be directed to
%
% Dr. Anne Brueggemann-Klein
% Institut fuer Informatik
% Rheinstr. 10--12
% 7800 Freiburg, West Germany
%
% email: abk@sun1.ruf.uni-freiburg.dbp.de
%
\catcode`\@=11
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Only for testing, delete later %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\tracingonline=2 %
% \showboxbreadth=100 % Only for testing
% \showboxdepth=100 %
\newcount\cnta\newcount\cntb\newcount\cntc
\def\showlasttree{%
\g\cnta\count\l@stdiminfo
\g\cntb\cnta
\g\advance\cntb 5
\g\advance\cntb \count\l@sttreeheight
\g\advance\cntb \count\l@sttreeheight
\ifnum\count\l@sttreeheight=-1\relax
\g\advance\cntb by 2
\immediate\write16{Tree contour for dummy node:}
\else\immediate\write16{Tree contour:}%
\fi
\for\cntc:=\cnta\to\cntb\do\immediate\write16{\the\dimen\cntc}\od}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% TeX vs. LaTeX %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\lplain{lplain} % Set \LaTeXtrue if TreeTeX is
\newif\ifLaTeX % used together with LaTeX,
\ifx\fmtname\lplain\LaTeXtrue % otherwise set \LaTeXfalse
\else\LaTeXfalse\fi % (LaTeX defines \fmtname=={lplain}).
\immediate\write16{This is TreeTeX, Version 2.1, for use with \ifLaTeX LaTeX%
\else plain TeX\fi.}
\ifLaTeX \let\lineseg\line % latex_picture is part of latex.tex,
\else \let\@line\line % so you don't need it if you use
\input l_pic % TreeTeX together with LaTeX. LaTeX
\let\lineseg\line % has the command \line for geometric
\let\line\@line % lines, and plain TeX has the same
\fi % command for lines of text. Because
% both versions of \line play an
% important role in the respective
% macro packages, we introduce a new
% command \lineseg in TreeTeX for the
% geometric lines, and \line will have
% the LaTeX-meaning if TreeTeX is used
% with LaTeX, and the plain \TeX
% meaning otherwise.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% General programming environment %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\catcode`\@=11
\let\g\global
\def\gxdef{\global\xdef}
% The command \newcount is redefined such that it can be used
% inside a definition (i.e. it is no longer an \outer-command).
\def\newcount{\alloc@0\count\countdef\insc@unt}
% Implementing a for-loop (first argument must be a counter).
% Usage: \for<counter>:=<start value>\to<stop value>\do<operations>\od
% Semantics: the same as a PASCAL for-loop
% Precautions: Don't change the counter-value inside the loop!
% for-loops cannot be nested (nor can the \loop-commands!).
\def\for#1:=#2\to#3\do#4\od{%
\def\f@rcount{#1}\def\upp@rlimit{#3}\def\b@dy{#4}\f@rcount=#2\relax\dof@r}
\def\dof@r{\ifnum\f@rcount>\upp@rlimit\relax\let\n@xt\relax
\else\b@dy\advance\f@rcount\@ne\let\n@xt\dof@r\fi
\n@xt}
% \ex repeats a sequence of commands a predetermined number of times.
% Usage: \ex<number>\times<operations>\xe
% Semantics: <operations> is executed as often as <number> says
% Precautions: \ex commands cannot be nested.
\newcount\@xcount
\newcount\t@mes
\def\ex#1\times#2\xe{%
\@xcount1 \t@mes#1\def\b@dy{#2}\do@x}
\def\do@x{\ifnum\@xcount>\t@mes\let\n@xt\relax
\else\b@dy\advance\@xcount\@ne\let\n@xt\do@x\fi
\n@xt}
% \rect@ngle produces a rectangle with horizontal edge length #1, vertical
% edge length #2 and line thickness #3. The reference point is in the center of
% the rectangle. The width is 0pt.
\newskip\thickn@ss
\newskip\@nner
\newskip\@uter
\def\rect@ngle#1#2#3{\hbox to 0pt{%
\thickn@ss#3%
\g\@nner#2\g\advance\@nner-\thickn@ss
\g\divide\@nner\tw@
\g\@uter#2\g\advance\@uter\thickn@ss
\g\divide\@uter\tw@
\hskip 0pt minus .5fil%
\vrule height\@uter depth\@nner width\thickn@ss
\vrule height\@uter depth-\@nner width#1%
\hskip 0pt minus 1fil%
\vrule height-\@nner depth\@uter width#1%
\vrule height\@nner depth\@uter width\thickn@ss
\hskip 0pt minus .5fil%
}% \hbox
}% \def
% \s@ries takes two arguments. The first one is a name, say XXX, and
% the second is a series of arguments, devided by two slashs (//).
% \s@ries assigns this last series of arguments one after another to the
% control sequences \XXXi, \XXXii, and so on. Furthermore, a control
% sequence \XXX is defined, which takes a number k as its argument and
% expands to \XXXk', where k' is the roman numeral equivalent to k.
\def\s@ries#1#2{%
\g\t@mpcnta1
\gdef\t@mp{#1}%
\@ssign#2/\l@st % \l@st is a sentinal element
\expandafter\gdef\csname#1\endcsname##1{%
\csname#1\romannumeral##1\endcsname}%
}
\def\@ssign#1/#2{%
\expandafter\gdef\csname\t@mp\romannumeral\t@mpcnta\endcsname{#1}%
\g\advance\t@mpcnta\@ne
\ifx#2\l@st
\g\let\n@xt\relax
\else\g\let\n@xt\@ssign
\fi
\n@xt}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Allocation of internal registers %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newdimen\leftdist
\newdimen\rightdist
\newbox\TeXTree
\newcount\sl@pe
\newcount\l@vels
\newcount\s@ze
\newbox\circleb@x
\newbox\squareb@x
\newbox\dotb@x
\newbox\triangleb@x
\newbox\textb@x
\newbox\frameb@x
\newdimen\circlew@dth
\newdimen\squarew@dth
\newdimen\dotw@dth
\newdimen\trianglew@dth
\newdimen\textw@dth
\newdimen\framew@dth
\newdimen\vd@st
\newdimen\hd@st
\newdimen\based@st
\newdimen\dummyhalfcenterdim@n
\newcount\t@mpcnta
\newcount\t@mpcntb
\newcount\t@mpcntc
\newcount\t@mpcntd
\newdimen\t@mpdima
\newdimen\t@mpdimb
\newdimen\t@mpdimc
\newbox\t@mpboxa
\newbox\t@mpboxb
\newbox\leftb@x
\newbox\rightb@x
\newbox\centerb@x
\newbox\beneathb@x
\newtoks\typ@
\newbox\centerb@@x
\newdimen\centerdim@n
\newdimen\halfcenterdim@n
\newdimen\mins@p
\newdimen\halfmins@p
\newdimen\tots@p
\newdimen\halftots@p
\newdimen\currs@p
\newdimen\adds@p
\newcount\l@ftht
\newcount\r@ghtht
\newcount\l@ftinfo
\newcount\r@ghtinfo
\newbox\l@ftbox
\newbox\r@ghtbox
\newif\ifr@ghthigher % true iff the right subtree is higher than the left one
\newif\ifadds@p
\newcount\@larg
\newcount\@rarg
\newif\ifl@fttop
\newif\ifl@ftonly
\newif\ifr@ghtonly
\newif\if@xt
\newif\ifl@ftedge
\newif\ifr@ghtedge
\newif\ifext@nded
\newdimen\lm@ff
\newdimen\rm@ff
\newdimen\lb@ff
\newdimen\rb@ff
\newdimen\lt@p
\newdimen\rt@p
\newcount\l@sttreebox % These four counter allocations have been copied
\newcount\l@sttreeheight % to this position from the \Tree command
\newcount\l@stdiminfo % (vs. 2.1). Previously each tree allocated its own
\newcount\l@sttreetype % counters, using up counters for nothing.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Slope handling for the edges %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The picture environment of LaTeX gives us a choice of 24 positive
% slopes for lines (i.e. edges of trees in this context),
% including vertical ones. The slope of a line is
% given by an x- and an y-value, see L. Lamport, LaTeX, pp. 105f for
% further details. x/y can have the following values (decreasing amount
% of slope): 0/1 1/6 1/5 1/4 1/3 2/5 1/2 3/5 2/3 3/4 4/5 5/6 1/1 6/5 5/4
% 4/3 3/2 5/3 2/1 5/2 3/1 4/1 5/1 6/1.
% The x-values are allocated to \xv@li, \xv@lii,..., \xv@lxxiv, and
% they can conveniently be accessed by the command \xv@l{<number>}.
% The same holds for the y-values.
\s@ries{xv@l}{0//1//1//1//1//2//1//3//2//3//4//5//1//6//%
5//4//3//5//2//5//3//4//5//6}
\s@ries{yv@l}{1//6//5//4//3//5//2//5//3//4//5//6//1//5//%
4//3//2//3//1//2//1//1//1//1}
% \hv@ldef calculates \hv@li, \hv@lii,..., \hv@lxxiv for a given dimen
% \vd@st according to the following picture:
%
% /-|
% / |
% / |
% / |
% / |\vd@st
% / |
% / |
% / -| |
% / |\yv@l|
% / _| _|
%
% |___|
% \xv@l
% |_________|
% .5\hv@l
%
% \hv@li,..., \hv@lxxiv are initialized in \beginTree, when the
% actual value for \vd@st is known (\vd@st will depend on the point size of
% the picture). As before, these values can conveniently be accessed by the
% command \hv@l{<number>}.
\def\hv@ldef{%
\for\t@mpcnta:=1\to24%
\do\g\t@mpdima\vd@st\g\multiply\t@mpdima by\xv@l{\t@mpcnta}%
\g\divide\t@mpdima by\yv@l{\t@mpcnta}\g\multiply\t@mpdima by 2
\expandafter\gxdef\csname hv@l\romannumeral\t@mpcnta\endcsname{%
\the\t@mpdima}%
\od}
\def\hv@l#1{\csname hv@l\romannumeral#1\endcsname}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Naming trees %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% A TeXtree is stored in TeX's internal registers in the following way:
% A TeXtree of height h has associated to itself the following internal
% TeX registers: a box, holding the graphical appearance of the tree,
% a consecutive number of 6+2h internal dimen registers, holding the
% additional information about the contour of the tree, a counter
% holding the height h of the tree, a counter holding the first
% position of the additional information registers, and a toks register
% holding the type of the node (circle, square, dot, triangle, text, or frame).
% The height and position
% of additional information are stored in consecutive order for
% consecutive trees. The same is true for the boxes and toks.
% Four key numbers, the register numbers (addresses)
% for the height, diminfo, box, and type
% of a tree, enable you to access all information which is stored about the
% tree. For the last tree on the stack, the four key numbers are stored in the
% counters \l@sttreeheight, \l@stdiminfo, \l@sttreebox, and \l@sttreetype,
% the key numbers for the next tree are \l@sttreeheight-2, \l@stdiminfo-2,
% \l@sttreebox-1, and \l@sttreetype-1, and so on.
% The macro \n@metree gives names to some registers associated with the tree.
% The tree to be named is specified by its four key numbers. \n@metree takes
% five arguments, namely the keynumbers for height, info, box and type of the
% tree, and the name to be given to the tree. If the tree gets the name XXX and
% the key numbers are h, i, b, and t, the commands on the left side of the
% following list get the meaning on the right side.
% \XXXht <--- \count h
% \XXXinfo <--- \count i
% \XXXbox <--- b
% \XXXtype <--- \toks t
% \XXXlmoff <--- \dimen f where f is the address stored
% in \count i
% \XXXrmoff <--- \dimen (f+1)
% \XXXlboff <--- \dimen (f+2)
% \XXXrboff <--- \dimen (f+3)
% \XXXltop <--- \dimen (f+4)
% \XXXrtop <--- \dimen (f+5)
% \XXXloff <--- \dimen (f+4+2g) where g is the height stored in
% \count h, i.e. \dimen (f+4+2g)
% holds loff(1) of the tree, if g>0
% \XXXroff <--- \dimen (f+5+2g)
% The macro \pr@vioustree sets \l@sttreeheight, \l@stdiminfo,
% \l@sttreebox and \l@sttreetype to the key numbers of the previous tree
% and gives the name `l@st' to this tree.
% The macro \@ddname which has two names n1 and n2 as arguments, gives
% the tree with name n1 the additional name n2.
% The macro \n@mel@st gives the name `l@st' to the tree with the
% key numbers \l@sttreeheight, \l@stdiminfo, \l@sttreebox and \l@sttreetype.
% The macro \n@xttree sets \l@sttreebox, \l@sttreeheight, \l@stdiminfo,
% \count\l@stdiminfo, and \l@sttreetype to the next free position.
% The macro \@ppenddummy pushs a dummy onto the stack and names it `l@st'.
% The dummy has height -1, its box is the empty box, its type is circle,
% and all dimensions are 0pt.
% \p@s#1#2#3 sets counter #1 to position #2 of tree #3. #1 must be a counter,
% #3 must be a name for the tree. If the tree has the name XXX, \XXXinfo
% must be a number holding the first position of the dimen-parameters of
% the tree and \XXXht must hold the height of the tree.
% #2 must be one of the following control sequences indicating the
% desired position: \lmoff, \rmoff, \lboff, \rboff, \ltop, \rtop, \loff, or
% \roff. \loff and \roff give the left resp. right offset of the *top*
% level of the tree.
\def\p@s#1#2#3{%
\g#1\csname#3info\endcsname
\gxdef\t@mp{\csname#3ht\endcsname}%
\ifnum\t@mp<0 \gxdef\t@mp{0}\fi
#2{#1}%
}
\chardef\@lmoff0 \chardef\@rmoff1 \chardef\@ltop4 \chardef\@rtop5
\chardef\@lboff2 \chardef\@rboff3 \chardef\@loff4 \chardef\@roff5
\def\lmoff#1{\g\advance#1 by\@lmoff}
\def\rmoff#1{\g\advance#1 by\@rmoff}
\def\lboff#1{\g\advance#1 by\@lboff}
\def\rboff#1{\g\advance#1 by\@rboff}
\def\ltop#1{\g\advance#1 by\@ltop}
\def\rtop#1{\g\advance#1 by\@rtop}
\def\loff#1{\g\advance#1 by\@loff\g\advance#1 by\t@mp
\g\advance#1 by\t@mp\relax}
\def\roff#1{\g\advance#1 by\@roff\g\advance#1 by\t@mp
\g\advance#1 by\t@mp\relax}
% \n@meinfo#1 defines for an argument XXX (name of a tree) \XXXlmoff,
% \XXXrmoff, ... as lmoff(XXX), rmoff(XXX),... .
% The following arguments will be used: l@ft, r@ght, l@st,
% m@n, and m@x.
\def\n@meinfo#1{%
\n@me@nfo{#1}{lmoff}\n@me@nfo{#1}{rmoff}%
\n@me@nfo{#1}{lboff}\n@me@nfo{#1}{rboff}%
\n@me@nfo{#1}{ltop}\n@me@nfo{#1}{rtop}%
\n@me@nfo{#1}{loff}\n@me@nfo{#1}{roff}%
}
\def\n@me@nfo#1#2{%
\p@s\t@mpcnta{\csname#2\endcsname}{#1}%
\expandafter\gxdef\csname#1#2\endcsname{\dimen\the\t@mpcnta}}
\def\n@metree#1#2#3#4#5{%
\expandafter\gxdef\csname#5ht\endcsname{\count\the#1}%
\expandafter\gxdef\csname#5info\endcsname{\count\the#2}%
\expandafter\gxdef\csname#5box\endcsname{\the#3}%
\expandafter\gxdef\csname#5type\endcsname{\toks\the#4}%
\n@meinfo{#5}%
}
\chardef\@cntoff3 \chardef\@boxoff1 \chardef\@dimoff2 \chardef\@typeoff1
\def\pr@vioustree{%
\g\advance\l@sttreeheight by-\@cntoff
\g\advance\l@stdiminfo by-\@cntoff
\g\advance\l@sttreetype by-\@cntoff
\g\advance\l@sttreebox by-\@boxoff
\n@mel@st
}
\def\@ddname#1#2{%
\expandafter\gxdef\csname#2ht\endcsname{\csname#1ht\endcsname}%
\expandafter\gxdef\csname#2info\endcsname{\csname#1info\endcsname}%
\expandafter\gxdef\csname#2type\endcsname{\csname#1type\endcsname}%
\expandafter\gxdef\csname#2box\endcsname{\csname#1box\endcsname}%
\n@meinfo{#2}%
}
\def\n@xttree{%
\p@s\t@mpcnta\loff{l@st}\g\advance\t@mpcnta by\@dimoff
\g\advance\l@sttreeheight by\@cntoff
\g\advance\l@stdiminfo by\@cntoff
\g\advance\l@sttreetype by\@cntoff
\g\advance\l@sttreebox by\@boxoff
\g\count\l@stdiminfo\t@mpcnta
}
\def\@ppenddummy{% pushs a dummy onto the stack and names it `l@st'
% The dummy has height -1, its box is the empty box, the type
% is circle, and all dimensions are 0pt.
\n@xttree \g\count\l@sttreeheight-\@ne\n@mel@st
\l@sttype{circle}%
\g\setbox\l@stbox\copy\voidb@x
\g\l@stlmoff=0pt\g\l@strmoff=0pt\g\l@stlboff=0pt\g\l@strboff=0pt%
\g\l@stltop=0pt\g\l@strtop=0pt\g\l@stloff=0pt\g\l@stroff=0pt%
}
\def\g@tchildren{% enables us to talk about the left and the right child
% (names l@ft resp. r@ght) and the smaller and the larger
% child (names m@n resp. m@x)
\ifl@fttop\@ddname{l@st}{l@ft}%
\pr@vioustree
\@ddname{l@st}{r@ght}%
\else\@ddname{l@st}{r@ght}%
\pr@vioustree
\@ddname{l@st}{l@ft}%
\fi
\ifnum\r@ghtht>\l@ftht\relax
\r@ghthighertrue
\@ddname{r@ght}{m@x}%
\@ddname{l@ft}{m@n}%
\else\r@ghthigherfalse
\@ddname{l@ft}{m@x}%
\@ddname{r@ght}{m@n}%
\fi
}
\def\n@mel@st{%
\n@metree\l@sttreeheight\l@stdiminfo\l@sttreebox\l@sttreetype{l@st}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Initialization of the tree environment %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\beginTree{%
\begingroup
\unitlength 1pt%
\divide\unitlength by 65536
\l@sttreebox\count14
\l@sttreeheight\count10
\advance\l@sttreeheight by \@ne
\count\l@sttreeheight=-1
\l@stdiminfo\l@sttreeheight
\advance\l@stdiminfo by \@ne
\count\l@stdiminfo\count11
\advance\count\l@stdiminfo by -5
\l@sttreetype\l@stdiminfo
\advance\l@sttreetype by\@ne
\count\l@sttreetype\count15
\n@mel@st\ignorespaces
}
\let\Tree\beginTree
\def\endTree{%
\g\leftdist-\l@stlmoff\g\advance\leftdist by \l@stltop
\g\rightdist\l@strmoff\g\advance\rightdist by\l@strtop
\g\setbox\TeXTree\box\l@stbox\endgroup\ignorespaces}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Specification of nodes %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% A node is defined by the command \node{<specifications>}.
% <specifications> defines the labels, graphical appearence and the order
% of the node and the thickness of the edges.
% Labels are defined by the commands \lft, \rght, \cntr,
% and \bnth. The specification of empty labels may be omitted.
% The graphical appearence is defined by the command \type{<type>}.
% <type> can have the values `circle', `square', `dot',
% `triangle', 'text', or 'frame'. The thickness of the edges is defined by
% \leftthick and \rightthick that give thick edges instead of the
% normal thin ones. Furthermore,
% the order of the node is given by the following commands:
% \external (if the node is an external node), \leftonly (if the node has a
% left successor only), \rightonly (analogous), \unary (if the node is an
% unary one), and \lefttop (the
% node which has been defined before this one, is supposed to be the left
% successor instead of the right one).
% Default: two children, no labels, type circle, thin edges,
% left child has been entered first.
\def\th@ck{\let\@linefnt\tenlnw
\@wholewidth\fontdimen8\tenlnw\@halfwidth.5\@wholewidth}
\def\leftthick{\g\let\l@ftthick\th@ck}
\def\rightthick{\g\let\r@ghtthick\th@ck}
\def\lft#1{\g\setbox\leftb@x\hbox{#1\ }}
\def\rght#1{\g\setbox\rightb@x\hbox{\ #1}}
\def\cntr#1{\g\setbox\centerb@x\hbox{#1\strut}}
\def\bnth#1{\g\setbox\beneathb@x\hbox to0pt{\hss\strut#1\hss}}
\def\type#1{%
\g\setbox\centerb@@x\copy\csname#1b@x\endcsname
\g\centerdim@n\csname#1w@dth\endcsname
\typ@{#1}%
\g\halfcenterdim@n=.5\centerdim@n}
\def\ext@nded{\g\ext@ndedfalse} % This definition must precede
% \input TreeTeX.sty (outdated now!)
\def\node#1{%
%%% Initialization (node type and labels), defaults and actual values
\g\setbox\leftb@x\copy\voidb@x
\g\setbox\rightb@x\copy\voidb@x
\g\setbox\centerb@x\copy\voidb@x
\g\setbox\beneathb@x\copy\voidb@x
\type{circle}%
\g\l@fttopfalse\g\l@ftonlyfalse\g\l@ftedgetrue
\g\r@ghtonlyfalse\g\r@ghtedgetrue\g\@xtfalse\ext@nded\n@dummy
\g\let\l@ftthick\relax\g\let\r@ghtthick\relax
#1%
\@pdcenter
\d@mmy
\n@de
\ignorespaces
}
\def\@pdcenter{\csname\the\typ@ @cntr\endcsname}
\let\circle@cntr\relax
\let\square@cntr\relax
\let\triangle@cntr\relax
\let\dot@cntr\relax
\def\text@cntr{%
\g\centerdim@n\wd\centerb@x
\g\halfcenterdim@n.5\centerdim@n}
\def\frame@cntr{%
\g\setbox\centerb@x\hbox{\ \unhcopy\centerb@x\ }
\g\centerdim@n\wd\centerb@x
% \g\advance\centerdim@n\fontdimen2\font
\g\halfcenterdim@n.5\centerdim@n
\g\setbox\centerb@@x\rect@ngle{\centerdim@n}{\squarew@dth}{.4pt}}
\def\leftonly{\g\l@ftonlytrue\g\r@ghtedgefalse\g\let\d@mmy\l@ftdummy}
\def\rightonly{\g\r@ghtonlytrue\g\l@ftedgefalse\g\let\d@mmy\r@ghtdummy}
\def\unary{\g\r@ghtedgefalse\g\let\d@mmy\@ndummy}
\def\external{\g\@xttrue\g\l@ftedgefalse\g\r@ghtedgefalse\g\let\d@mmy\@xtdummy}
\def\lefttop{\g\l@fttoptrue}
\def\@xtdummy{%
\@ppenddummy
\g\l@strtop-\halfmins@p
\@ppenddummy
\g\l@stltop-\halfmins@p
}
\def\n@dummy{\g\let\d@mmy\relax}
\def\l@ftdummy{% cf. \g@tposition
\@ppenddummy
\g\l@stltop=\dummyhalfcenterdim@n
\g\l@strtop=\dummyhalfcenterdim@n
}
\def\r@ghtdummy{% cf. \g@tposition
\lefttop
\@ppenddummy
\g\l@stltop=\dummyhalfcenterdim@n
\g\l@strtop=\dummyhalfcenterdim@n
}
\def\@ndummy{%
\g\t@mpdima\l@strtop\relax
\@ppenddummy
\g\l@stltop-\mins@p\g\advance\l@stltop by-\t@mpdima
\g\l@strtop=\t@mpdima
}
\def\n@de{%
\g@tposition % naming children and calculating \sl@pe and \tots@p
\g@tlt@p\g@trt@p % calculating \lt@p and \rt@p
\g@tlm@ff\g@trm@ff % calculating \lm@ff and \rm@ff
\g@tlb@ff\g@trb@ff % calculating \lb@ff and \rb@ff
\@pdlroff % updating loff and roff for all levels but the top one
\@pdloffl\@pdroffl % updating loff(1) and roff(1) of the parent tree
\@pddim % updating ltop, rtop, lmoff, rmoff, lboff, and rboff
\@pdinfo\@pdht % updating diminfo and treeheight
\@pdbox % updating treebox
\@pdtype % updating type
\n@mel@st % giving the name `l@st' to the new tree
\ignorespaces
}
\def\g@tposition{% naming children and calculating \sl@pe, \tots@p, and node offsets
\g@tchildren\c@lcsep\c@lcslope\c@lcoffsets
\ifext@nded\relax
\else\ifl@ftonly\g\r@ghtrtop=-\tots@p
\g\advance\r@ghtrtop by\l@ftrtop
\fi
\ifr@ghtonly\g\l@ftltop=-\tots@p
\g\advance\l@ftltop by\r@ghtltop
\fi
\fi % cf. \l@ftdummy and \r@ghtdummy
}
\def\@pdinfo{% updating diminfo
\g\l@stinfo=\m@xinfo\relax
}
\def\@pdht{% updating treeheight
\g\l@stht=\m@xht
\g\advance\l@stht by\@ne
}
\def\@pdtype{% updating type
\g\l@sttype\typ@
}
\def\g@tlt@p{% calculating \lt@p
\g\lt@p\wd\leftb@x\g\advance\lt@p by\halfcenterdim@n
}
\def\g@trt@p{% calculating \rt@p
\g\rt@p\wd\rightb@x\g\advance\rt@p by\halfcenterdim@n
}
\def\g@tlm@ff{% calculating \lm@ff
% \lm@ff:=lmoff(left tree)-ltop(left tree)
% -.5\tots@p+\lt@p
\g\lm@ff\l@ftlmoff
\g\advance\lm@ff by-\l@ftltop
\g\advance\lm@ff by-\halftots@p
\g\advance\lm@ff by\lt@p\relax
% if ht(left tree) < ht(right tree)
% \t@mpdima:=lmoff(right tree)-ltop(right tree)+.5\tots@p+\lt@p
% \lm@ff:=min(\lm@ff,\t@mpdima) fi
\ifnum\l@ftht<\r@ghtht\relax
\g\t@mpdima\r@ghtlmoff
\g\advance\t@mpdima by-\r@ghtltop
\g\advance\t@mpdima by\halftots@p
\g\advance\t@mpdima by\lt@p\relax
\ifdim\t@mpdima<\lm@ff\relax
\g\lm@ff\t@mpdima
\fi
\fi
% \lm@ff:=min(\lm@ff,0pt)
\ifdim0pt<\lm@ff\relax
\g\lm@ff=0pt%
\fi
}
\def\g@trm@ff{% calculating \rm@ff
% analog to lm@ff
% \rm@ff:=rmoff(right tree)+rtop(right tree)
% +.5\tots@p-\rt@p
\g\rm@ff\r@ghtrmoff
\g\advance\rm@ff by\r@ghtrtop
\g\advance\rm@ff by\halftots@p
\g\advance\rm@ff by-\rt@p\relax
% \t@mpdima:=rmoff(left tree)+rtop(left tree)-.5\tots@p-\rt@p
\ifnum\r@ghtht<\l@ftht\relax
\g\t@mpdima\l@ftrmoff
\g\advance\t@mpdima by\l@ftrtop
\g\advance\t@mpdima by-\halftots@p
\g\advance\t@mpdima by-\rt@p\relax
\ifdim\t@mpdima>\rm@ff\relax
\g\rm@ff\t@mpdima
\fi
\fi
% \rm@ff:=max(\rm@ff,0pt)
\ifdim0pt>\rm@ff\relax
\g\rm@ff=0pt
\fi
}
\def\g@tlb@ff{% calculating \lb@ff
% \lb@ff:=lboff(right tree)-ltop(right tree)+.5\tots@p+\lt@p
% resp.:=lboff(left tree)-ltop(left tree)
% -.5\tots@p+\lt@p
\if@xt\g\lb@ff0pt%
\else\ifnum\l@ftht<\r@ghtht\relax
\g\lb@ff\r@ghtlboff
\g\advance\lb@ff by-\r@ghtltop
\g\advance\lb@ff by\halftots@p
\g\advance\lb@ff by\lt@p\relax
\else\g\lb@ff\l@ftlboff
\g\advance\lb@ff by-\l@ftltop
\g\advance\lb@ff by-\halftots@p
\g\advance\lb@ff by\lt@p\relax
\fi
\fi
}
\def\g@trb@ff{% calculating \rb@ff
% \rb@ff:=rboff(left tree)+rtop(left tree)-.5\tots@p-\rt@p
% resp.:=rboff(right tree)+rtop(right tree)
% +.5\tots@p-\rt@p
\if@xt\g\rb@ff0pt%
\else\ifnum\r@ghtht<\l@ftht\relax
\g\rb@ff\l@ftrboff
\g\advance\rb@ff by\l@ftrtop
\advance\rb@ff by-\halftots@p
\g\advance\rb@ff by-\rt@p\relax
\else\g\rb@ff\r@ghtrboff
\g\advance\rb@ff by\r@ghtrtop
\g\advance\rb@ff by\halftots@p
\g\advance\rb@ff by-\rt@p\relax
\fi
\fi
}
\def\@pdlroff{% updating loff and roff for all levels but the top one
% if right tree higher \t@mpdima:=-ltop(right tree)
% \t@mpdimb:=lboff(left tree)-ltop(left tree)
% % \t@mpdimb holds the offset between the node
% % and the left edge of the bottom of the left tree
% else \t@mpdima:=rtop(left tree)
% \t@mpdimb:=lboff(right tree)+rtop(right tree)
% % substitute left by right
% fi
\ifr@ghthigher\g\t@mpdima-\r@ghtltop\relax
\g\t@mpdimb\l@ftlboff
\g\advance\t@mpdimb by-\l@ftltop\relax
\else\g\t@mpdima\l@ftrtop\relax
\g\t@mpdimb\r@ghtlboff
\g\advance\t@mpdimb by\r@ghtrtop\relax
\fi
\ifr@ghthigher\p@s\t@mpcnta\loff{m@n}% pointer to loff(1) of smaller tree
\p@s\t@mpcntb\loff{m@x}% pointer to loff(1) of larger tree
\else\p@s\t@mpcnta\roff{m@n}% pointer to roff(1) of smaller tree
\p@s\t@mpcntb\roff{m@x}% pointer to roff(1) of larger tree
\fi % if the right tree is the higher one you have to shift
% the left profile of the smaller tree, otherwise the
% right one
% For every level, \t@mpdima contains the offset between the node of the
% higher tree and the inner edge of the next level. Furthermore, if the
% right tree is the higher one, the left profile of the left tree becomes
% the upper part of the left profile of the parent tree, otherwise
% substitute `left' by `right.'
\ex\m@nht\times
\g\advance\t@mpdima by\dimen\t@mpcntb
\g\dimen\t@mpcntb\dimen\t@mpcnta
\g\advance\t@mpcnta by-\@dimoff
\g\advance\t@mpcntb by-\@dimoff\relax
\xe
% The link between the last outer level of the smaller tree and the next
% level of the higher one:
% \dimen\t@mpcntb:=\dimen\t@mpcntb+\t@mpdima+\tots@p-\t@mpdimb
% if left tree is smaller than right tree
% resp.\dimen\t@mpcntb+\t@mpdima-\tots@p-\t@mpdimb
% if right tree is smaller than left tree
\ifnum\m@xht=\m@nht\relax
\else\g\advance\dimen\t@mpcntb by\t@mpdima
\ifnum\l@ftht<\r@ghtht\relax
\g\advance\dimen\t@mpcntb by\tots@p
\else\g\advance\dimen\t@mpcntb by-\tots@p
\fi
\g\advance\dimen\t@mpcntb by-\t@mpdimb
\fi
}
\def\@pdloffl{% updating loff(1) of parent tree
% loff(1) of parent tree:=+\lt@p-.5\tots@p-ltop(left tree)
\p@s\t@mpcnta\loff{m@x}%
\g\advance\t@mpcnta by \@dimoff\relax % pointer to loff(0) of parent tree
\g\dimen\t@mpcnta\lt@p
\g\advance\dimen\t@mpcnta by-\halftots@p
\g\advance\dimen\t@mpcnta by-\l@ftltop\relax
}
\def\@pdroffl{% updating roff(1) of parent tree
% roff(l) of parent tree:=-\rt@p+.5\tots@p+rtop(right tree)
\p@s\t@mpcnta\roff{m@x}%
\g\advance\t@mpcnta by \@dimoff\relax % pointer to roff(0) of parent tree
\g\dimen\t@mpcnta-\rt@p
\g\advance\dimen\t@mpcnta by\halftots@p
\g\advance\dimen\t@mpcnta by\r@ghtrtop\relax
}
\def\@pddim{% updating ltop, rtop, lmoff, rmoff, lboff, and rboff
\g\m@xlmoff=\lm@ff\g\m@xrmoff=\rm@ff
\g\m@xlboff=\lb@ff\g\m@xrboff=\rb@ff
\g\m@xltop=\lt@p\g\m@xrtop=\rt@p
}
\def\@pdbox{% pushing the nodebox on the stack: updating treebox
\g\@xarg\xv@l\sl@pe\g\@yarg\yv@l\sl@pe
\ifnum\sl@pe=1 % vertical edge
\g\t@mpdima\vd@st
\g\advance\t@mpdima by-\y@ff\typ@
\g\advance\t@mpdima by-\y@ff\l@fttype
\g\@larg\t@mpdima % \@larg is a number register!
\g\t@mpdima\vd@st
\g\advance\t@mpdima by-\y@ff\typ@
\g\advance\t@mpdima by-\y@ff\r@ghttype
\g\@rarg\t@mpdima % \@rarg is a number register!
\else\g\t@mpdima\halftots@p
\g\advance\t@mpdima by-\x@ff\typ@
\g\advance\t@mpdima by-\x@ff\l@fttype
\g\@larg\t@mpdima % \@larg is a number register!
\g\t@mpdima\halftots@p
\g\advance\t@mpdima by-\x@ff\typ@
\g\advance\t@mpdima by-\x@ff\r@ghttype
\g\@rarg\t@mpdima % \@rarg is a number register!
\fi
\g\setbox\l@sttreebox\hbox{%
\ifvoid\leftb@x\relax
\else\hskip-\halfcenterdim@n\hskip-\wd\leftb@x
\unhcopy\leftb@x\hskip\halfcenterdim@n
\fi
\ifvoid\centerb@x\relax
\else\g\t@mpdima-.5\wd\centerb@x\hskip\t@mpdima
\unhbox\centerb@x\hskip\t@mpdima
\fi
\ifvoid\rightb@x\relax
\else\g\t@mpdima-\wd\rightb@x\hskip\halfcenterdim@n
\unhbox\rightb@x\hskip\t@mpdima\hskip-\halfcenterdim@n
\fi
\raise\based@st\copy\centerb@@x
\if@xt\relax
\lower\s@ze pt\hbox to0pt{\hss\unhbox\beneathb@x\hss}%
\else\hskip-\halftots@p
\lower\vd@st\box\l@ftbox
\ifl@ftedge\drawl@ftedge\else\hskip\halftots@p\fi
\ifr@ghtedge\drawr@ghtedge\else\hskip\halftots@p\fi
\lower\vd@st\box\r@ghtbox
\hskip-\halftots@p
\fi
}% of hbox
}
\def\drawl@ftedge{%
\hskip\x@ff\l@fttype
\g\t@mpdimc\y@ff\l@fttype\g\advance\t@mpdimc by\based@st
\g\advance\t@mpdimc-\vd@st
\raise\t@mpdimc
\hbox{\l@ftthick\lineseg(\@xarg,\@yarg){\@larg}}%
\hskip\x@ff\typ@
}
\def\drawr@ghtedge{%
\hskip\x@ff\typ@
\g\t@mpdimc\vd@st
\g\advance\t@mpdimc by \based@st
\g\advance\t@mpdimc by -\y@ff\typ@\relax
\g\advance\t@mpdimc by- \vd@st
\raise\t@mpdimc
\hbox{\r@ghtthick\lineseg(\@xarg,-\@yarg){\@rarg}}%
\hskip\x@ff\r@ghttype
}
\def\x@ff#1{%
\csname\the#1x@ff\endcsname\sl@pe
}
\def\y@ff#1{%
\csname\the#1y@ff\endcsname\sl@pe
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Calculating the separation of subtrees %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \c@lcslope will calculate the required slope of the edges
% when the nodes are to be \vd@st apart vertically
% and at least \tots@p apart horizontally. This slope is returned by
% the value of the counter \sl@pe (a number between 1 and 23).
% Furthermore, \tots@p is updated in order to fit to this slope.
\def\c@lcslope{%
\g\sl@pe1
\loop
\ifdim\hv@l\sl@pe < \tots@p
\g\advance\sl@pe by1
\repeat
\g\tots@p\hv@l\sl@pe
\g\halftots@p.5\tots@p}
\def\c@lcsep{%
%%% \tots@p:=\mins@p + rtop(left tree) + ltop(right tree)
%%% \currs@p:=\mins@p
\g\tots@p\mins@p
\g\advance\tots@p by\l@ftrtop
\g\advance\tots@p by\r@ghtltop\relax
\g\currs@p\mins@p
%%% \t@mpcnta:= pointer to roff(0) of left tree
%%% \t@mpcntb:= pointer to loff(0) of right tree
\p@s\t@mpcnta\roff{l@ft}%
\p@s\t@mpcntb\loff{r@ght}%
%%% Calculate \currs@p and update \tots@p for each level of the
%%% smaller tree
%%% If at any level the subtrees are as close or closer than at
%%% the level of their roots, they will be moved apart by the additional
%%% amount of \adds@p
\g\adds@pfalse
\g\t@mpcntc\m@nht
\ex\t@mpcntc\times
\g\advance\currs@p by-\dimen\t@mpcnta
\g\advance\currs@p by \dimen\t@mpcntb
\ifdim\mins@p<\currs@p
\else\g\adds@ptrue
\fi
\ifdim\currs@p<\mins@p
\g\advance\tots@p by\mins@p
\g\advance\tots@p by -\currs@p
\g\currs@p\mins@p
\fi
\g\advance\t@mpcnta by -\@dimoff
\g\advance\t@mpcntb by -\@dimoff
\xe
\ifadds@p\g\advance\tots@p by\adds@p\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Predefined trees %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \tri@ngle produces a triangle which covers \l@vels many level of a tree.
% The slope of the edges is given by \sl@pe, the reference point of the
% triangle is in the top, the width is 0pt.
\def\tri@ngle{%
\vtop{\g\@xarg\xv@l\sl@pe \g\@yarg\yv@l\sl@pe
\g\t@mpdimc\l@vels\vd@st
\g\advance\t@mpdimc by .5\squarew@dth
\g\multiply\t@mpdimc\xv@l\sl@pe
\g\divide\t@mpdimc\yv@l\sl@pe
\g\@larg\t@mpdimc
\offinterlineskip
\vskip0pt% Force the reference point to the top
\hbox to0pt{\hss\lineseg(\@xarg,\@yarg){\@larg}%
\hskip\t@mpdimc\rlap{\lineseg(-\@xarg,\@yarg){\@larg}}%
\hss}%
\setbox\t@mpboxa
\hbox to0pt{\hss\vrule height.2pt depth.2pt width2\t@mpdimc\hss}%
\t@mpdimc-.5\squarew@dth\advance\t@mpdimc\based@st
\ht\t@mpboxa0pt\dp\t@mpboxa\t@mpdimc\copy\t@mpboxa
}%
}
\def\lvls#1{\g\l@vels#1}
\def\slnt#1{\g\sl@pe#1}
\def\treesymbol#1{%
\g\setbox\leftb@x\copy\voidb@x
\g\setbox\rightb@x\copy\voidb@x
\g\setbox\centerb@x\copy\voidb@x
\g\setbox\beneathb@x\copy\voidb@x
\lvls{1}\slnt{3}%
#1%
\g\centerdim@n\trianglew@dth
\g\halfcenterdim@n.5\trianglew@dth
\n@xttree
\g\count\l@sttreeheight\l@vels% \g\advance\count\l@sttreeheight by\tw@
\g\toks\l@sttreetype{triangle}%
\n@mel@st
\g\hd@st\hv@l\sl@pe \g\divide\hd@st by\tw@
\g\l@stltop=\halfcenterdim@n\g\advance\l@stltop by\wd\leftb@x
\g\l@strtop=\halfcenterdim@n\g\advance\l@strtop by\wd\rightb@x
\g\l@stlboff=-\hd@st \g\multiply\l@stlboff by\l@vels
\g\advance\l@stlboff by\wd\leftb@x
\g\l@strboff=\hd@st \g\multiply\l@strboff by\l@vels
\g\advance\l@strboff by-\wd\rightb@x
\g\l@stlmoff=\l@stlboff\relax
\ifdim\l@stlmoff>0pt\relax\g\l@stlmoff=0pt\fi
\g\l@strmoff=\l@strboff
\ifdim\l@strmoff<0pt\relax\g\l@strmoff=0pt\fi
\g\t@mpcnta\l@stinfo\g\advance\t@mpcnta by6% preliminary
\ex\l@vels\times
\g\dimen\t@mpcnta-\hd@st\g\advance\t@mpcnta by\@ne
\g\dimen\t@mpcnta\hd@st\g\advance\t@mpcnta by\@ne
\xe
\g\advance\t@mpcnta by-\tw@
\g\advance\dimen\t@mpcnta by\wd\leftb@x
\g\advance\t@mpcnta by\@ne
\g\advance\dimen\t@mpcnta by-\wd\rightb@x
\g\setbox\l@stbox\vtop % to\l@vels\vd@st
{\offinterlineskip
\g\setbox\t@mpboxa
\hbox{\hskip-\halfcenterdim@n\hskip-\wd\leftb@x\unhbox\leftb@x
\hskip\halfcenterdim@n
\raise\based@st\tri@ngle
\hskip\halfcenterdim@n\t@mpdima-\wd\rightb@x
\unhbox\rightb@x\hskip\t@mpdima\hskip-\halfcenterdim@n}
\g\ht\t@mpboxa=0pt\box\t@mpboxa
\setbox\centerb@x\hbox to0pt{\hss\unhbox\centerb@x\hss}%
\ht\centerb@x0pt\dp\centerb@x0pt\box\centerb@x
\vskip\s@ze pt
\ht\beneathb@x0pt\box\beneathb@x
\vskip-\dp\beneathb@x\vskip-\ht\beneathb@x}%
\ignorespaces
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Node sizes %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The algorithm (macros \@pdbox, \drawl@ftedge, \drawr@ghtedge) accesses the
% horizontal and vertical offset fo any node type XXX (circle, square,
% dot, triangle, text, and frame) via the macros \XXXx@ff resp. \XXXy@ff.
% These two macros take the slope of the outgoing edges
% of the current node as their argument. Though horizontal offsets can
% be calculated from the vertical offsets and vice versa, there is no
% room to do so in the \XXXx@ff or \YYYy@ff macros, because these macros
% have to expand to a dimension!
%
% Let k be a <number>. Actually k will be the slope of the outgoing
% edges of the current node.
%
% There are three methods how, e.g., \XXXx@ff can be defined , depending
% on the node type and the x- or y-orientation.
% First, \XXXx@ff can be defined to expand to \XXXx@ffk', k' beeing
% the roman numeral representation of the value of k, that in turn
% expands to the appropriate dimension (example: \circley@ff).
% In this case, \XXXx@ffi,...,\XXXx@ffiv are predefined by a \s@ries
% command.
% Second, \XXXx@ff can be defined to expand to a fixed dimension,
% independent of its argument (example: \dotx@ff).
% Third, the value of \XXXx@ff can be defined by the macro
% \c@lcoffsets, when the slope k is already known. In this case,
% the computation of \XXXx@ff makes use of the actual value
% of k and possibly other offsets that are already predefined by method I
% (examples: \circlex@ff, \squarex@ff).
\def\norm@ff{% everything set up for 10pt node size
\s@ries{circley@ff}{0.50000pt//0.49320pt//0.49029pt//0.48507pt//%
0.47434pt//0.46424pt//0.44721pt//0.42875pt//%
0.41603pt//0.40000pt//0.39043pt//0.38411pt//%
0.35355pt//0.32009pt//0.31235pt//0.30000pt//%
0.27735pt//0.25725pt//0.22361pt//0.18570pt//%
0.15811pt//0.12127pt//0.09806pt//0.08220pt}%
}
\def\dotx@ff#1{0pt}
\def\doty@ff#1{0pt}
\def\trianglex@ff#1{0pt}
\def\triangley@ff#1{0pt}
\def\c@lcoffsets{%
% \circlex@ff uses predefined \circley@ffi, \circley@ffii etc.
\ifnum\sl@pe=\@ne\relax
\xdef\circlex@ff##1{0pt}%
\else\g\t@mpcnta26 % number of slopes + 2
\g\advance\t@mpcnta-\sl@pe
\xdef\circlex@ff##1{\circley@ff\t@mpcnta}%
\fi
% \squarex@ff and \squarey@ff are computed directly from \sl@pe and \squarew@dth
\ifnum\sl@pe<13\relax % incoming edge meets upper border of a square node
% (slope 13 corresponds to 45 degrees)
\g\t@mpdima.5\squarew@dth
\xdef\squarey@ff##1{\the\t@mpdima}%
\g\multiply\t@mpdima\xv@l\sl@pe
\g\divide\t@mpdima\yv@l\sl@pe
\xdef\squarex@ff##1{\the\t@mpdima}%
\else\g\t@mpdima.5\squarew@dth
\xdef\squarex@ff##1{\the\t@mpdima}%
\g\multiply\t@mpdima\yv@l\sl@pe
\g\divide\t@mpdima\xv@l\sl@pe
\xdef\squarey@ff##1{\the\t@mpdima}%
\fi
% \texty@ff is .5\squarew@dth, \textx@ff is adjusted accordingly
\g\t@mpdima.5\squarew@dth
\xdef\texty@ff##1{\the\t@mpdima}%
\g\multiply\t@mpdima\xv@l\sl@pe
\g\divide\t@mpdima\yv@l\sl@pe
\xdef\textx@ff##1{\the\t@mpdima}%
\let\framex@ff\textx@ff
\let\framey@ff\texty@ff
}
\def\upds@ze#1{%
\for\t@mpcntc:=1\to24
\do\g\t@mpdimc=\csname#1\romannumeral\t@mpcntc\endcsname\relax
\g\multiply\t@mpdimc by\s@ze
\expandafter\gxdef\csname#1\romannumeral\t@mpcntc\endcsname
{\the\t@mpdimc}%
\od}
\def\nodes@ze{%
\begingroup
\unitlength 1pt%
\divide\unitlength by 65536
\g\based@st\s@ze pt\g\divide\based@st by 10 % \based@st is 10 % of
% circle diameter
\g\dummyhalfcenterdim@n=\s@ze pt\g\divide\dummyhalfcenterdim@n by\tw@
\g\circlew@dth=\s@ze pt%
\g\t@mpcntc\s@ze\g\multiply\t@mpcntc by 65536
\g\setbox\circleb@x\hbox to0pt{\circle{\t@mpcntc}\hss}%
\upds@ze{circley@ff}%
\g\squarew@dth.9pt\g\multiply\squarew@dth by\s@ze
\g\setbox\squareb@x\rect@ngle{\squarew@dth}{\squarew@dth}{.4pt}%
\g\dotw@dth=\s@ze pt\g\divide\dotw@dth by 5
\ifdim\dotw@dth < 1pt\relax
\g\dotw@dth1pt\relax
\fi
\g\t@mpcntc\dotw@dth
\g\setbox\dotb@x\hbox to 0pt{\circle*{\t@mpcntc}\hss}%
\g\trianglew@dth=\s@ze pt\g\multiply\trianglew@dth by \tw@
\g\divide\trianglew@dth by 3
\g\textw@dth=0pt%
\g\setbox\textb@x\copy\voidb@x
\g\framew@dth0pt%
\g\setbox\frameb@x\copy\voidb@x
\hv@ldef
\endgroup
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Changing the style %%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\treefonts#1{#1}
\def\vdist#1{\g\vd@st=#1\relax}
\def\minsep#1{\g\mins@p=#1\relax\g\halfmins@p=.5\mins@p}
\def\addsep#1{\g\adds@p=#1\relax}
\def\extended{\def\ext@nded{\g\ext@ndedtrue}}
\def\noextended{\def\ext@nded{\g\ext@ndedfalse}}
\def\nodesize#1{\g\t@mpdima=#1\relax\g\s@ze=\t@mpdima
\g\divide\s@ze by 65536\relax} % conversion from dimension to number
\def\Treestyle#1{\norm@ff#1\nodes@ze\ignorespaces}
\input classes
\Treestyle{%
\ifLaTeX\treefonts{\normalsize\rm}%
\else\treefonts{\tenrm}%
\fi
\vdist{60pt}%
\minsep{20pt}%
\addsep{0pt}%
\nodesize{20pt}%
}
%
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