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1991-09-16
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% DVIPS version
% included are the changes required to make it work with DVIPS
% It should be modifiable to any other decent driver too
% This is the complete texgraph macros ... for use with the INRS/Beebe
% Postscript driver
% This is the INRSTEX version
% Graphics macros for TeX using POSTCRIPT
% ----- Needs mod to count characters in special ... some drivers have an
% input limit of 500 characters in a \special
% ===============================================================
% THIS VERSION IS FOR USE with a PostScript Driver with
% \p@sfile to signal a file name
% \p@sinline to signal inline PostScript
% processes \specials and dvi commands in order.
% does not place a (save restore) pair about a \special.
%
% \printhv defines scale/directions for inline Postscript
% \filehv defines scale/directions for file Postscript
%
% Both INRS's modification of Beebe's DVIALW and ArborText's PostScript
% drivers satisfy these minimal requirements.
% It assumes that the underlying units are 300 pix/in
% Standard PostScript Conventions
% This is easily changed by changing the \hpix or \vpix
% It assumes that x,y are in the "normal" up/left direction.
% File inclusions require the existence of a bounding box for the correct
% spacing to be left.
% ===============================
% Most arguments, excepting file names, are delimited by spaces. Thus
% braces { .... } will usually only occur around inserted text ... which
% still must be followed by a space or end of line.
% ======================
\catcode`\@=11
% =============== Driver Signal Forms =======================
%\xdef\p@sfile{ps: } % file signal INRS DVIALW
\xdef\p@sfile{ps: plotfile } % file signal DVIPS
\xdef\p@sinline{ps:: } % inline signal DVIPS ... INRS DVIALW
% This translates the direction of the page if the printer assumptions
% are different than TeX. The values should be +-1.
\gdef\printhv #1 #2 {\gdef\p@hv{ #1 #2 scale }}
\gdef\filehv #1 #2 {\gdef\f@schv{ #1 #2 scale }}
\gdef\rtdir #1 {\gdef\r@tdir{ #1 }} % neg or nothing PS has no pos
% ============== LateX support =================
%\newenvironment{TeXgraph}{\btg}{\etg}
% This is the only change between the LateX and INRSTeX versions
% ======= Simple Plotfile support ===========
% These are vanilla forms for inserting an encapsulated PostScript file
% or creating a centered graphics environment.
% \centergraph needs to be very \long
\long\gdef\centergraph#1{\hbox to
\hsize{\hss\vbox{#1\vgraphskip}\hgraphskip\hss}}
\gdef\centerplotfile#1{\centergraph{\btg\includefile {#1} \etg}}
% if you use the Latex command to create the new texgraph environment,
% then you will automatically be "inside" Texgraph. This
% means that you should use such commands as
% \includefile \incscmvfile \incscfile
% ========= error messages =========
% \language=0 -- English, 1 - French
\ifnum \language=0 \message{<< WARNING -- TeXGraph needs DVIPS >>}
\xdef\bbmess{Searching for BoundingBox }
\xdef\incfile{Graphics file}
\xdef\badincfile{Size/Format Error in Graphics File}
\xdef\noincfile{Missing Graphics File}
\else
\message{<< AVERTISSMENT -- TeXGraph a besoin du DVIPS >>}
\xdef\bbmess{Searching for BoundingBox }
\xdef\incfile{Graphics file}
\xdef\badincfile{Size/Format Error in Graphics File}
\xdef\noincfile{Missing Graphics File}
\fi
% ===== debugging code =====
% will send out specials as messages
\gdef\dmess #1{}
\gdef\bmess #1{}
% ======== \global\newif =======
% Plain defines the \newif as a local variable. We need a global
% version if TeXgraph is to be brought in while inside a group.
% This is a simpler, but less elegant version of \newif
%#1 is \if<..> #2 -...true #3 ...false
\gdef\gnewif#1#2#3{\global\let#1=\iffalse \gdef#2{\let#1=\iftrue}\relax
\gdef#3{\let#1=\iffalse}}
% ======== TeXGraph Macros ==========
% Postcript allows for arbitrary translation, scaling, rotation and clipping.
% This version saves the current segment scale(s), unit scale(s), rotation
% and translation and painfully computes and retores the correct form after
% a segment exit. The reason for this is that Postcript can stack only one
% CTM, text needs to have correct rotation and translation but default
% scaling ...
% It would be preferable not to convert any of the units. However, it is
% necessary to know the maximum excursions. Since the PS currentpoint is
% not accessible to TeX, we must keep it ourselves.
% Since negative numbers can be used both maximum and minimum excursions
% are required.
% ====== begin -- end graphics =======
% The maximum and minimum extent in the h and v direction is recorded
% and is accessible
% at the end of a \btg \etg pair (in points). The same value, in pixels is accessible at
% all times
\newcount\maxhpospix
\newcount\maxvpospix
\newcount\minhpospix
\newcount\minvpospix
\newdimen\hgraphsize
\newdimen\vgraphsize
\gdef\vgraphskip{\vskip\vgraphsize}
\gdef\hgraphskip{\hskip\hgraphsize}
\gdef\beginTeXGraphics{\t@exgraphdef \i@ncgdepth
\vbox\bgroup\offinterlineskip
\h@pos=0
\global\maxhpospix=\h@pos
\global\minhpospix=\h@pos
\v@pos=0
\global\maxvpospix=\v@pos
\global\minvpospix=\v@pos
\h@segoff=\h@pos \v@segoff=\v@pos
\edef\o@form{}\ifnum\g@depth=1
\p@sinit \fi \p@sset % PS initialization
\s@save}
% \s@save saves the initialization for the special output.
% \g@save saves some local condition
\gdef\endTeXGraphics{\g@raphout\egroup\maxhvpos\p@srestore \d@ecgdepth }
\global\let\btg=\beginTeXGraphics
\global\let\etg=\endTeXGraphics
\global\let\btg=\beginTeXGraphics
\global\let\etg=\endTeXGraphics
% ========== TeXGraph Nesting Depth ==========
\newcount\g@depth \global\g@depth=0 % initializes at zero
\gdef\i@ncgdepth{\global\advance\g@depth by 1 }
\gdef\d@ecgdepth{\global\advance\g@depth by -1 }
% =========== Complete Graph Scaling ===============
% There is a separate scaling for the horizontal, vertical, and text
\gdef\grscale h:#1 v:#2 {\gdef\h@grsc{#1}\gdef\v@grsc{#1}\e@xtend
{\o@form}{#1 #2 scale }}
\gdef\tgrscale #1 {\e@xtend{\o@form}{#1 #1 scale }}
% text scale h and v the same
% ======== PostScript initialization =========
%
\gdef\t@exgrdictdef{/td 50 dict def }
\gdef\t@exgrdictinit{ td begin /mv {moveto} def
/lv {lineto} def
/st {stroke} def
/np {newpath} def
/sl {setlinewidth} def
/sd {setdash} def
/rt {rotate} def
/gs {gsave} def
/gr {grestore} def
/tr {translate} def
/cp {closepath} def
/sg {setgray} def
/chv {currentpoint} def
/cv {curveto} def
/slc {setlinecap} def
/slj {setlinejoin} def
/sc {scale} def
/at {neg atan rt} def
/mx {mv gs chv tr} def
% \h@vinit
end }
% ----- initial point move ... driver dependent -----
\gdef\Xpos{Xp\the\g@depth\b@}
\gdef\Ypos{Yp\the\g@depth\b@}
\gdef\h@vinit{ chv /\Ypos exch
def /\Xpos exch def }
\gdef\h@vset{\t@rhv \p@hv }
\gdef\m@vhv{ \Xpos \Ypos mv } % INRS
\gdef\t@rhv{ \Xpos \Ypos tr } % INRS
\gdef\t@rneghv{ \Xpos neg \Ypos neg tr } % INRS
\gdef\p@sinit{\edef\e@form{\special{\p@sinline
\t@exgrdictdef
\t@exgrdictinit}}
\gdef\p@sset{\special{\p@sinline td begin \h@vinit gs \t@rhv
\p@hv end }}\e@form\dmess{\e@form}}
% ======== PostScript termination =========
\gdef\p@srestore{\edef\e@form{\special{\p@sinline grestore }}\e@form
\dmess{\e@form}}
% resets to entry into TeXgraph and recovers memory
%========= macros for converting dimensions/units =========
% --------- \box0 must not be void ----------
\global\setbox0=\hbox{}
%default values
\gdef\graphdim#1 {\gdef\g@dim{#1\relax}}
%pixels /dim unit
\newcount\h@pix % sp/pixel
\gdef\hpix#1/#2 {\wd0=1true#2\relax
\h@pix=\wd0 \divide\h@pix by #1 \relax}
\newcount\v@pix % sp/pixel
\gdef\vpix#1/#2 {\wd0=1true#2\relax
\v@pix=\wd0 \divide\v@pix by #1 \relax}
% Assumes #1 is dimension #2 is count in pixels, #3 sp/pix, #4 scalefactor (real)
% #2 is returned
\gdef\gendimtopix#1#2#3#4{\wd0=#1\dimen0=#4\wd0\relax
\wd0=\dimen0 #2=\wd0 \divide #2 by #3\relax}
% #1 is returned, #5 -\global or {}
\gdef\genpixtopt#1#2#3#4#5{\multiply #2 by #3\relax\wd0=#2sp
#5#1=#4\wd0\relax}
% ---------- Converts maxpix to maxdim removes offset -----
\gdef\maxhvpos{\global\advance\maxhpospix by -\minhpospix\relax
\genpixtopt{\hgraphsize}{\maxhpospix}{\h@pix}{\h@grsc}{\global}\relax
\global\advance\maxvpospix by -\minvpospix\relax
\genpixtopt{\vgraphsize}{\maxvpospix}{\v@pix}{\v@grsc}{\global}}
% ======== The vector offsets my be relative or absolute =====
\gnewif{\ifr@elpos}{\r@elpostrue}{\r@elposfalse} %default is absolute
\gdef\absoluteposition{\r@elposfalse}
\gdef\relativeposition{\r@elpostrue}
\global\let\abspos=\absoluteposition
\global\let\relpos=\relativeposition
\global\let\absolute=\absoluteposition % historical
\global\let\relative=\relativeposition % historical
% ====== update #1 by #2 r@elpos to #3, #4 is max #5 is min=======
\gdef\u@pdate#1#2#3#4#5{\ifr@elpos \advance #1 by #2\else
\advance #2 by #3\relax
#1=#2\fi
\ifnum #1>#4\global #4=#1\fi
\ifnum #1<#5\global #5=#1\fi
}
\gdef\h@update #1{\u@pdate{\h@pos}{#1}{\h@segoff}{\maxhpospix}{\minhpospix}}
\gdef\v@update #1{\u@pdate{\v@pos}{#1}{\v@segoff}{\maxvpospix}{\minvpospix}}
% === pixel position r@elpos to initial offset starting position
\newcount\h@pos \h@pos=0
\newcount\v@pos \v@pos=0
\newcount\r@ang \r@ang=0 % 1000 times degrees ?
% ===== Check for pen up moves only =====
% penup/down are used to determine whether a line needs to be stroked
% when a line pattern or penwidth is changed.
\gnewif{\ifp@down}{\p@downtrue}{\p@downfalse}
% ===== present segment origin and rotation ==========
\newcount\h@segoff
\newcount\v@segoff
\newcount\r@segoff % 1000 times degrees
\gdef\beginsegment{\g@raphout\begingroup\s@eginit}
% segment initialization is a trifle messy
\gdef\s@eginit{\h@segoff =\h@pos \v@segoff=\v@pos}
% PS has the concept of a path that is either
% completed with a "stroke" or "fill" ... stroking
% at the end or beginning of a segment, the special is written out. This is
% to ensure that the input order of the graphics reflects what entities are
% on top of what others. Further it is assumed that the origin does not
% change during an entire \btg ...\etg section. This means that every special
% must first move to the point where the previous one left off. \s@save
% defines \s@restore that restores, in case they had been modified, the line
% width, pattern, hpos, vpos, ... and any future things that need restoration.
% all graphic specials are ended with a stroke (st), whether it needs it not.
% we need a special form to force a space after a \the\nnn form or \p@w
\gdef\b@{ }
\gdef\endsegment{\g@raphout\endgroup
\edef\o@form{}\s@save}
\gdef\s@pout #1#2{\edef\e@form{\special{#1\s@restore\o@form#2}}\dmess{\e@form}\e@form
\edef\o@form{}\s@save}
%\h@vset if there is a move before each special
\gdef\g@raphout{\ifx\empty\o@form \else \ifp@down
\s@pout{\p@sinline td begin }{ st end }\fi\fi\p@downfalse}
\global\let\graphout=\g@raphout
% ====== Segment and units scaling ========
% The units in any segment may be scaled arbitrarily. A unit scale is local
% to a segment but affects enclosed segments unless specifically overidden
% in that segment. In addition there is a graph or segment scale. This
% scaling factor is accumulative and is applied on top of the unit scale.
% These two scaling factors allow for a segment to be designed in nominal
% units, scaled to a nominal size and then be affected by relative scaling
% of an entire graph or segment. In addition there is a relative/absolute
% scale switch that allows for any segment to be unaffected by a graphscale.
% \u@nitsc -- present unit scale, \s@egsc -- present segment scale
% \g@rsc -- present graphscale ... changes when ever either of the former do.
% present implementation does not allow separate v h scaling
% ------ Relative/Absolute Scale ------
\gnewif{\ifr@elscale}{\r@elscaletrue}{\r@elscalefalse}
\gdef\absolutescale{\r@elscalefalse}
\gdef\relativescale{\r@elscaletrue}
\global\let\abssc=\absolutescale
\global\let\relsc=\relativescale
% ----- unit scale -----
\gdef\unitscale#1 {\edef\u@nitsc{#1}\newgraphscale}
\global\let\graphscale=\unitscale % Historical
% ----- Segment Scale -----
\gdef\segmentscale#1 {\ifr@elscale \realmult{#1}{\s@egsc}{\s@egsc}\else
\edef\s@egsc{#1}\fi
\newgraphscale}
% ---- Graph Scale --------
% This changes whenever either of the above change
\gdef\newgraphscale{\realmult{\u@nitsc}{\s@egsc}{\g@rsc}}
% ------ "Real" Multiplication --------
% These functions use the fact that a box dimension may be scaled by
% a real. The final step is to "clean" off the pt on the resulting dim
% Cleans off the pt in a dimension ... pt has catcode 12
{\catcode`\p=12 \catcode`\t=12
\gdef\c@lean#1pt{\edef\cx{#1}}}
% #1 and #2 are multiplicands #3 is a command to capture result
\gdef\realmult#1#2#3{\wd0=1pt\dimen0=#1\wd0\wd0=\dimen0\dimen0=#2\wd0
\edef\R@M{\the\dimen0}\expandafter\c@lean\R@M\edef#3{\cx}}
\gdef\realadd#1#2#3{\dimen0=#1pt\dimen2=#2pt\advance\dimen0by\dimen2
\edef\R@M{\the\dimen0}\expandafter\c@lean\R@M\edef#3{\cx}}
% -------- Command to convert nominal values to pixels ------
% #1 is a decimal number, #2 must be a count, #3 is sp/pix
% This includes all scalings
\gdef\grdimtopix#1#2#3{\gendimtopix{#1\g@dim}{#2}{#3}{\g@rsc}}
% ------- special forms to update positions ------
\gdef\i@h#1{\grdimtopix{#1}{\d@umc}{\h@pix}\h@update{\d@umc}}
\gdef\i@v#1{\grdimtopix{#1}{\d@umc}{\v@pix}\v@update{\d@umc}}
\gdef\h@num#1#2{\grdimtopix{#1}{#2}{\h@pix}}
\gdef\v@num#1#2{\grdimtopix{#1}{#2}{\v@pix}}
%dummy variables
\newcount\d@uma
\newcount\d@umb
\newcount\d@umc
\newcount\d@umd
\newcount\d@ume
% ====== end macros for converting dimensions
% ======== Some more Utility Macros ========
% ======== recursive macros ========
\gdef\e@xtend #1#2{\let\d@x=#1\edef #1{\d@x #2}}
\xdef\s@pex{}
\xdef\s@pin{ }
\gdef\s@pexpand #1 #2!{\e@xtend{\s@pex}{#1\s@pin}\edef\t@x{#2}\ifx\t@x\empty\relax \else
\s@pexpand #2!\fi}
% ========== A Do Loop Construction =========
% \do <something> for <number of times>\od
% This is a specialization of the \loop in Plain.
\newcount\d@count
\gdef\do #1 for #2\od{\d@count=#2\loop #1 \ifnum\d@count>1\advance
\d@count by -1\repeat}
% ========= Graphics specials =======
\xdef\o@form{}
\gdef\penwidth #1 {\h@num{#1}{\d@umc}\edef\p@w{\the\d@umc}\ifp@down \g@save
\e@xtend{\o@form}{st \g@restore }
\else \e@xtend{\o@form}{\p@w\b@ sl }\fi}
\gdef\linecap #1 {\edef\s@lc{#1}\ifp@down \g@save
\e@xtend{\o@form}{st \g@restore }
\else \e@xtend{\o@form}{\s@lc\b@ slc }\fi}
\gdef\linejoin #1 {\edef\s@lj{#1}\ifp@down \g@save
\e@xtend{\o@form}{st \g@restore }
\else \e@xtend{\o@form}{\s@lj\b@ slj }\fi}
\gdef\lpatt p:#1 {\edef\v@p{#1 0}\ifp@down \g@save
\e@xtend{\o@form}{st \g@restore }
\else \e@xtend{\o@form}{\v@p\b@ sd }\fi}
% ==== parameters are in units of the nominal dimension \g@dim ======
\gdef\p@move #1#2#3{\i@h{#1}\i@v{#2}\e@xtend{\o@form}{\the\h@pos\b@ \the\v@pos\b@ #3 }}
\gdef\lvec h:#1 v:#2 {\p@move{#1}{#2}{lv}\p@downtrue} %draws a line
\gdef\move h:#1 v:#2 {\p@move{#1}{#2}{mv}} %moves
% ====== a general vector with dimensions in pixels ======
% ========= General pixel dim vector ==========
\gdef\lpix h:#1 v:#2 f:#3 {\e@xtend{\o@form}{ #1 #2 #3 }}
%============== puts TeX text at this position
% These are pure TeX macros that use \h@pos and \v@pos for orientation
% Text may be put horizontally (left/right) or vertically (down/up)
% ======== sp form of \h@pos and \v@pos respectively ========
\newdimen\t@hpos
\newdimen\t@vpos
\gdef\s@ettpos{\d@umc=\h@pos
\genpixtopt{\t@hpos}{\d@umc}{\h@pix}{}{}\relax
\d@umc=\v@pos
\genpixtopt{\t@vpos}{\d@umc}{\v@pix}{}{}\relax}
% any one of nine reference point may be specified on the
% TeX box. This is Vertical T,C,B and Horizontal L,C,R
% The actual box is 0 height and width.
\newbox\t@box
% #1 LCR default/error L #2 TCB default/error T #3 text -- in hbox
% Sets the box glues \lhglue \rhglue \tvglue \bvglue
% #1 x/h ref, #2 v/y ref
\gdef\textref h:#1 v:#2 {\ifx#1R\edef\lhglue{\hss}\edef\rhglue{}\else
\ifx#1C\edef\lhglue{\hss}\edef\rhglue{\hss}\else
\edef\lhglue{}\edef\rhglue{\hss}\fi\fi
\ifx#2B\edef\tvglue{\vss}\edef\bvglue{}\else
\ifx#2C\edef\tvglue{\vss}\edef\bvglue{\vss}\else
\edef\tvglue{}\edef\bvglue{\vss}\fi\fi}
\global\let\tboxref=\textref
\newcount\h@oldmaxpos \newcount\v@oldmaxpos
%needed to save max pos when texgraph is inside an h/vtext
% ========== assumes driver location at initial \btg entry ========
%
% #1 text #2 - begin rotation form #3 - end rotation form
\long\gdef\m@text#1#2#3{\g@raphout\h@oldmaxpos=\maxhpospix\relax
\v@oldmaxpos=\maxvpospix\relax
\edef\h@oldgrsc{\h@grsc}\edef\v@oldgrsc{\v@grsc}\s@ettpos
\setbox\t@box=\vbox{\normalbaselines
\vskip\t@vpos\hbox{\hskip\t@hpos
\t@init{#2}\relax
\vbox to 0pt{\normalbaselines
\tvglue\hbox to 0pt{\lhglue\hbox{#1}\rhglue
}\bvglue}}}\relax
\dp\t@box=0pt\ht\t@box=0pt\wd\t@box=0pt
\box\t@box
\t@fin{#3}
\global\maxhpospix=\h@oldmaxpos\relax
\global\maxvpospix=\v@oldmaxpos\relax
\xdef\h@grsc{\h@oldgrsc}\edef\v@grsc{\v@oldgrsc}}
% saves maxh(v)pospix on stack
% ========== PS text initializations and terminations ===========
\gdef\t@init#1{\special{\p@sinline td begin \h@vinit gr gs
\t@rhv #1 \t@rneghv end }}
\gdef\t@fin#1{\special{\p@sinline td begin \h@vinit gr gs \m@vhv \t@rhv \p@hv end }}
% .... special test
%\gdef\t@init#1{}
%\gdef\t@fin#1{}
% ... end special test
\long\gdef\htext #1 {\m@text{#1}{}{}}
\long\gdef\vtext #1 {\m@text{#1}{ 90 \r@tdir rt }{}}
\long\gdef\rtext d:#1 t:#2 {\m@text{#2}{ #1 \r@tdir rt }{}}
\long\gdef\rstext d:#1 sc:#2 t:#3 {\m@text{#3}{ #1 \r@tdir rt #2 #2 sc }{}}
\global\let\tbox=\htext
% ========= Various Restore forms ========
\gdef\g@save{\edef\g@restore{\p@w\b@ sl \v@p\b@ sd \s@lc\b@ slc \s@lj\b@ slj
np \the\h@pos\b@ \the\v@pos\b@ mv }}
\gdef\s@save{\edef\s@restore{\p@w\b@ sl \v@p\b@ sd \s@lc\b@ slc \s@lj\b@ slj
np \the\h@pos\b@ \the\v@pos\b@ mv }}
% ======== circle, arcs =========
% The PS arc will connect the center of the arc to the circumference
% if the newpath includes the move to this point. Thus we define a
% set of arc functions that include/exclude this feature. The default
% does not include this form.
\gdef\larc r:#1 sd:#2 ed:#3 {\h@num{#1}{\d@umc}\p@downtrue
\e@xtend{\o@form}{ st np \the\h@pos\b@ \the\v@pos\b@ \the\d@umc\b@ #2 #3 arc
st np \the\h@pos\b@ \the\v@pos\b@ mv }}
\gdef\lcir r:#1 {\larc r:#1 sd:0 ed:360 }
% ------ this is a raw arc ... can be used in fills --------
\gdef\arcc r:#1 sd:#2 ed:#3 {\h@num{#1}{\d@umc}\p@downtrue
\e@xtend{\o@form}{\the\h@pos\b@ \the\v@pos\b@ \the\d@umc\b@ #2 #3 arc }}
\gdef\arcn r:#1 sd:#2 ed:#3 {\h@num{#1}{\d@umc}\p@downtrue
\e@xtend{\o@form}{\the\h@pos\b@ \the\v@pos\b@
\the\d@umc\b@ #2 #3 arcn }}
% ======= fill command ==========
% The fill command is essentially a polygonal fill ... not a point spreading
% this means that it is possible to erase with white ... The form here
% completes with a closepath applies the fill, starts a newpath and moves
% to the current point. Pattern is a grey level.
% 0 is black 1 is white
\gdef\pfill p:#1 {\p@downtrue
\e@xtend{\o@form}{cp #1 sg fill np \the\h@pos\b@ \the\v@pos\b@ mv }}
% this form both fills and strokes around the path
\gdef\lpfill p:#1 {\p@downtrue
\e@xtend{\o@form}{cp gs #1 sg fill gr st np \the\h@pos\b@ \the\v@pos\b@ mv }}
% ======== Postscript special forms ========
% This allows "raw" postscript to be put in the graph.
\gdef\pst #1{\e@xtend{\o@form}{#1 }}
% These are some useful postscript compatible forms.
\gdef\closepath{\e@xtend{\o@form}{cp }}
\gdef\newpath{\e@xtend{\o@form}{np }}
\gdef\stroke{\e@xtend{\o@form}{st }}
% ========= including external files ==========
% an external file is included at the present point on the graph area
% moves are required to get there
% The actual file is placed inside a \t@box and tex commands are used
% to get to the place ... They probably can be nested
% #1 is the filename
% The file is opened, if possible, to read its size. If this exists, it
% is used to update the maximum h/v position.
% The BoundingBox is determined
\newread\q@file
% #1 is the file name
\gnewif{\ifq@read}{\q@readtrue}{\q@readfalse}
\gnewif{\ifq@file}{\q@filetrue}{\q@filefalse}
\gnewif{\ifb@boxexists}{\b@boxexiststrue}{\b@boxexistsfalse}
% #1 == %%BoundingBox, #2 llh #3 llv #4 urh #5 urv #6 rest of line
\gdef\uncat{\catcode`"=12}
{\catcode`\%=12
\gdef\l@shift{\ifx\l@lh\empty \xdef\l@lh{\l@lv}\xdef\l@lv{\u@rh}\xdef
\u@rh{\u@rv}\xdef\u@rv{\e@xt}\fi}
\gdef\B@Box{%%BoundingBox}
\gdef\a@tend{(atend)}
\gdef\a@tendtest{\l@shift\ifx\l@lh\a@tend\relax\else
\global\b@boxexiststrue\q@readfalse\bmess{<< At End Test >>}\fi}
\long\gdef\q@inline #1:#2 #3 #4 #5 #6 #7//{\xdef
\q@bbtest{#1}\xdef\l@lh{#2}\xdef
\l@lv{#3}\xdef\u@rh{#4}\xdef\u@rv{#5}\xdef
\e@xt{#6}\ifx\q@bbtest\B@Box
\a@tendtest\fi
\ifeof\q@file \q@readfalse \fi}
\gdef\s@bbox{\b@boxexistsfalse
\message{<< \bbmess -- \f@ilename>>}\q@readtrue
\loop \relax \ifq@read\r@eadline\repeat}
\gdef\r@eadline{ {\uncat \global\read\q@file to\q@parms }
\expandafter\q@inline\q@parms {}:{\relax} {\relax} {\relax} {\relax}
{\relax} \relax//\bmess{<<\q@parms>>}}
\gdef\g@etpsize #1{{\catcode`\%=12\openin\q@file = #1\relax
\edef\q@parms{}\global\q@filetrue\xdef\f@ilename{#1}
\ifeof\q@file \message{<<\noincfile: #1 >>}\relax
\global\q@filefalse\else
\s@bbox
\closein\q@file\fi}}
} % end of % disable
\newcount\h@px \newcount\v@px \newcount\h@mx \newcount\v@mx
\gdef\s@avemaxpos{\global\h@px=\maxhpospix\global\v@px=\maxvpospix
\global\h@mx=\minhpospix\global\v@mx=\minvpospix}
\gdef\r@estoremaxpos{\global\maxhpospix=\h@px\global\maxvpospix\v@px
\global\minhpospix=\h@mx\global\minvpospix\v@mx}
\gdef\f@sc{\b@}
\gdef\f@rt{\b@}
\gdef\filerotate#1{\edef\f@rt{ XposR YposR tr #1 \r@tdir rt XposR neg
YposR neg tr }}
\gdef\filescale #1{\edef\f@sc{#1 #1 sc \f@schv}}
\gdef\p@fileinit{ td begin \h@vinit gr gs \f@rt \t@rhv \f@sc end
/texgraph save def /showpage {} def }
\xdef\p@filefin{ texgraph restore }
\global\let\mvec=\move
\gdef\includefile #1 {\incscfile f:{#1} sc:1 d:0 }
\gdef\incscfile f:#1 sc:#2 d:#3 {\g@etpsize{#1}\ifb@boxexists
\message{<<\incfile: #1 >>}\realadd{\u@rh}{-\l@lh}{\p@lh}
\realadd{\u@rv}{-\l@lv}{\p@lv}
\realmult{\p@lh}{.5}{\p@lhh}
\realmult{\p@lv}{.5}{\p@lvh}
\beginsegment
\segmentscale #2
\global\let\g@dimo=\g@dim
\graphdim pt
\mvec h:{\p@lh} v:{\p@lv}
\mvec h:{\p@lhh} v:{\p@lvh}
\m@text{}{ /XposR \Xpos\b@ def
/YposR \Ypos\b@ def }{}
\endsegment
\s@avemaxpos
\beginsegment \segmentscale #2
\mvec h:{-\l@lh} v:{\u@rv}
\htext{\filescale{#2}\filerotate{#3}\relax
\special{\p@sinline\p@fileinit }
\special{\p@sfile #1 }
\special{\p@sinline\p@filefin }}
\endsegment
\r@estoremaxpos
\global\let\g@dim=\g@dimo
\else\message{<<\badincfile: #1 >>}\fi }
\gdef\incscmvfile f:#1 sc:#2 d:#3 h:#4 v:#5 {\g@etpsize{#1}\ifb@boxexists
\message{<<\incfile: #1 >>}\realadd{\u@rh}{-\l@lh}{\p@lh}
\realadd{\u@rv}{-\l@lv}{\p@lv}
\realmult{\p@lh}{.5}{\p@lhh}
\realmult{\p@lv}{.5}{\p@lvh}
\ifx#4L \edef\f@h{0}\else \ifx#4C \edef\f@h{1} \else \edef\f@h{2}\fi\fi
\ifx#5T \edef\f@v{0}\else \ifx#5C \edef\f@v{1} \else\edef\f@v{2}\fi\fi
\realmult{\p@lhh}{\f@h}{\h@off}
\realmult{\p@lvh}{\f@v}{\v@off}
\beginsegment
\segmentscale #2
\global\let\g@dimo=\g@dim
\graphdim pt
\mvec h:{-\h@off} v:{-\v@off}
\beginsegment
\mvec h:{\p@lh} v:{\p@lv}
\mvec h:{\p@lhh} v:{\p@lvh}
\m@text{}{ /XposR \Xpos\b@ def
/YposR \Ypos\b@ def }{}
\endsegment
\endsegment
\s@avemaxpos
\beginsegment \segmentscale #2
\mvec h:{-\l@lh} v:{\u@rv}
\beginsegment
\mvec h:{-\h@off} v:{-\v@off}
\htext{\filescale{#2}\filerotate{#3}\relax
\special{\p@sinline\p@fileinit }
\special{\p@sfile #1 }
\special{\p@sinline\p@filefin }}
\endsegment
\endsegment
\r@estoremaxpos
\global\let\g@dim=\g@dimo
\else\message{<<\badincfile: #1 >>}\fi }
% ============ Design Grid ==============
% This will lay down a grid at the present location. The grid nominally
% at unit dimension intervals. The scale factor sc modifies this. The
% sc is local only to the grid
\newcount\gcount
\gdef\grid nh:#1 nv:#2 sc:#3 {\gcount= #1
\beginsegment
\relative
\penwidth .005
\graphscale #3
\beginsegment
\loop \lvec h:#2 v:0
\move h:-#2 v:1
\ifnum \gcount > 1
\advance\gcount by -1 \repeat
\endsegment
\gcount = #2
\beginsegment
\loop \lvec h:0 v:#1
\move h:1 v:-#1
\ifnum \gcount > 1
\advance\gcount by -1 \repeat
\endsegment
\endsegment}
%========= end design grid ================
% =========== Arrow Vectors ==============
% There are three types of arrow heads, filled, open V and triangle
% These are always placed on the end of a vector.
% The basic design has the arrow head which is placed on the vector
% It theoretically can be placed on any curve where the angle is known or
% computable.
\newcount\a@len
\newcount\a@wid
% Parameter specification for arrowheads.
% #1 -- length #2 -- width
% The dimensions are interpreted at current graphscale in force and
% are local to the segment group.
\gdef\arrowheadscale{\arrowheadsize l:.16 w:.04 }
\gdef\arrowheadsize l:#1 w:#2 {\grdimtopix{#1}{\a@len}{\h@pix
}\grdimtopix{#2}{\a@wid}{\h@pix
}}
% postcript commands for inidividual arrow form
\gdef\arrowheadtype t:#1 {\ifx#1T\edef\a@com{cp gs 1 sg fill gr st }\else
\ifx#1F\edef\a@com{cp 0 sg fill }\else
\edef\a@com{st }\fi\fi}
\newcount\h@lp
\newcount\v@lp
% assumes that the dh and dv is in \h@lp \v@lp and present location is tip
% of arrowhead
\gdef\a@draw{st np \the\h@pos\b@ \the\v@pos\b@ mx
\the\v@lp\b@ neg \the\h@lp\b@ at
-\the\a@len\b@ \the\a@wid\b@ mv 0 0 lv
-\the\a@len\b@ -\the\a@wid\b@ lv
\a@com gr }
\gdef\avec h:#1 v:#2 {\h@lp=\h@pos\relax \v@lp=\v@pos\relax
\lvec h:#1 v:#2 \advance\h@lp by -\h@pos\relax
\advance\v@lp by -\v@pos\relax
\e@xtend{\o@form}{\a@draw}}
% ============= End Arrow Vectors =============
% ========= Bezier Curve ==========
% this is a cubic spline that is determined by four points. The initial
% point is assumed to be the current point. An arrow is easily added.
\gdef\clvec h1:#1 v1:#2 h2:#3 v2:#4 h3:#5 v3:#6 {\i@h{#1}\d@uma=\h@pos
\i@v{#2}\d@umb=\v@pos\i@h{#3}\d@ume=\h@pos\i@v{#4}\d@umd=\v@pos
\i@h{#5}\i@v{#6}\e@xtend{\o@form}{\the\d@uma\b@ \the\d@umb\b@
\the\d@ume\b@ \the\d@umd\b@ \the\h@pos\b@ \the\v@pos\b@
cv }\p@downtrue}
\gdef\clv (#1 #2) (#3 #4) (#5 #6){\clvec h1:#1 v1:#2 h2:#3 v2:#4 h3:#5 v3:#6 }
\gdef\cavec h1:#1 v1:#2 h2:#3 v2:#4 h3:#5 v3:#6 {\clvec h1:#1 v1:#2 h2:#3 v2:#4 h3:#5 v3:#6
\h@lp=\d@ume \relax \v@lp=\d@umd \relax
\advance\h@lp by -\h@pos\relax
\advance\v@lp by -\v@pos\relax
\e@xtend{\o@form}{\a@draw}}
\gdef\cav (#1 #2) (#3 #4) (#5 #6){\cavec h1:#1 v1:#2 h2:#3 v2:#4 h3:#5 v3:#6 }
% ======= default values =========
% These are reset each time \btg is called
\gdef\t@exgraphdef{\setbox0=\hbox{}\graphdim in
\hpix 300/in % INRS Default
\vpix 300/in % INRS Default
\printhv 1 1 % DVIPS 300 dpi
\filehv 4.17 -4.17 % DVIPS 300/72
\rtdir neg % DVIPS
\def\h@grsc{1}\def\v@grsc{1}%sets default hor/vert scales
\absoluteposition
\relativescale
\unitscale 1
\penwidth .015
\lpatt p:{[]}
\linecap 1
\linejoin 1
\arrowheadsize l:.16 w:.04
\arrowheadtype t:T
\textref h:L v:T }
\xdef\s@egsc{1}% initial default
\catcode`\@=12