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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% pictex2.sty -- extension to PiCTeX
+%
+% William Park <opengeometry@yahoo.ca>
+% Dec 1997, Aug 1998, May 1999
+%
+%
+% Introduction:
+% -------------
+%
+% PiCTeX's \putrule requires you to calculate the absolute coordinates,
+% and connects between only 2 points at a time. I found this very
+% inconvenient to calculate the coordinates repeatedly for something
+% like
+% \putrule from x0 y0 to x1 y1
+% \putrule from x1 y1 to x2 y2
+% ...
+% \putrule from .. .. to xn yn
+% but I didn't want to use
+% \setlinear
+% \plot x0 y0 x1 y1 x2 y2 ... xn yn /
+% because it consumes too much memory, using dots where rules can be
+% used. Also, I wanted to draw boxes, circles, and other LaTeX and
+% PiCTeX figures at the current position whose coordinate can be pain to
+% calculate manually.
+%
+% This file defines 2 user commands:
+% \putanyline, \setanyline
+% Everything else is internal macros.
+%
+%
+% Extension 1: \putanyline
+% -------------------------
+%
+% Therefore, I wrote \putanyline which connects points using \putrule
+% (rules) or \plot (dots) depending whether the line segment is
+% horizontal, vertical, or sloped. It automatically calculates the
+% current position, so that you can use relative coordinate when
+% specifying the next point to go to. Furthermore, you can insert
+% boxes, circles, and vectors at the current position. In effect,
+% \putanyline allows you to draw without "lifting pen from paper".
+%
+% Its usage is
+% \putanyline from x y <command> <arguments> <command> <arguments> ... /
+% where command/arguments are any permutation of
+% from x y -- starting point
+% to x y -- draw line to (x,y), using \plot if necessary
+% slope dx dy -- draw line to (dx,dy), using \plot if necessary
+% jump dx dy -- jump by <dx,dy> without drawing
+% right s -- draw horizontal rule to right by s unit
+% left s -- draw horizontal rule to left by s unit
+% up s -- draw vertical rule up by s unit
+% down s -- draw vertical rule down by s unit
+% x a -- draw horizontal rule to x=a
+% y b -- draw vertical rule to y=b
+% RIGHT s -- draw horizontal LaTeX vector to right by s unit
+% LEFT s -- draw horizontal LaTeX vector to left by s unit
+% UP s -- draw vertical LaTeX vector up by s unit
+% DOWN s -- draw vertical LaTeX vector down by s unit
+% X a -- draw horizontal LaTeX vector to x=a
+% Y b -- draw vertical LaTeX vector to y=b
+% box width height -- put corner of box at current point
+% circle dia -- put center of circle at current point
+% arc dx dy deg -- draw arc from (dx,dy) about current point
+% BOX (x,y) [Blrbt] -- put LaTeX \framebox(x,y){} with [] orientation
+% CIRCLE dia -- put LaTeX \circle{d} at current point
+% VECTOR (x,y) s -- put LaTeX \vector(x,y){s} at current point
+% SLOPE (x,y) s -- put LaTeX \line(x,y){s} at current point
+%
+% For example, the repeated \putrule above can be replaced by
+% \putanyline from x0 y0 to x1 y1 to x2 y2 ... to xn yn /
+% But, if it will be using horizontal or vertical rules anyway, it is
+% more convenient to use relative coordinate and write
+% \putanyline from x0 y0 right a up b left c down d ... /
+% where each direction implies starting from current position which is
+% calculated and updated automatically. However, the following commands
+% box, circle, arc, BOX, CIRCLE
+% do not update the current position, since there is no clear "end"
+% point to go to.
+%
+% When using LaTeX objects, PiCTeX's horizontal and vertical scales
+% should be same as LaTeX's \unitlength. I usually do something like
+% \usepackage{pictex2}
+% ...
+% $$\beginpicture \unitlength=1cm
+% \setcoordinatesystem units <\unitlength,\unitlength>
+% ...
+% \endpicture$$
+%
+%
+% Extension 2: \setanyline
+% -------------------------
+%
+% I also wrote \setanyline mode for \plot to use rules if a line segment
+% is horizontal or vertical. Its usage is similar to \setlinear,
+% \setanyline
+% \plot x0 y0 x1 y1 x2 y2 ... xn yn /
+% With this command, the points must be specified using absolute
+% coordinate as usual; you cannot use relative coordinates.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{pictex2} % this package
+\RequirePackage{pictex} % standard part of teTeX
+
+\catcode`!=11
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \putanyline from x y to x y slope dx dy jump dx dy
+% right s left s up s down s x a y a
+% RIGHT s LEFT s UP s DOWN s X a Y b
+% box w h circle d arc dx dy deg
+% BOX (x,y) [Blrtb] CIRCLE d VECTOR (x,y) s SLOPE (x,y) s
+% /
+%
+\def\putanyline{\!putanyline}% changed from \multiput
+\def\!putanyline{\futurelet\!nextchar\!!putanyline}
+\def\!!putanyline{%
+ \if f\!nextchar \def\!!!putanyline{\!putanylinefrom}%
+ \else \if t\!nextchar \def\!!!putanyline{\!putanylineto}%
+ \else \if s\!nextchar \def\!!!putanyline{\!putanylineslope}%
+ \else \if j\!nextchar \def\!!!putanyline{\!putanylinejump}%
+%
+ \else \if r\!nextchar \def\!!!putanyline{\!putanylineright}%
+ \else \if l\!nextchar \def\!!!putanyline{\!putanylineleft}%
+ \else \if u\!nextchar \def\!!!putanyline{\!putanylineup}%
+ \else \if d\!nextchar \def\!!!putanyline{\!putanylinedown}%
+ \else \if x\!nextchar \def\!!!putanyline{\!putanylinex}%
+ \else \if y\!nextchar \def\!!!putanyline{\!putanyliney}%
+%
+ \else \if R\!nextchar \def\!!!putanyline{\!putanylineRIGHT}%
+ \else \if L\!nextchar \def\!!!putanyline{\!putanylineLEFT}%
+ \else \if U\!nextchar \def\!!!putanyline{\!putanylineUP}%
+ \else \if D\!nextchar \def\!!!putanyline{\!putanylineDOWN}%
+ \else \if X\!nextchar \def\!!!putanyline{\!putanylineX}%
+ \else \if Y\!nextchar \def\!!!putanyline{\!putanylineY}%
+%
+ \else \if b\!nextchar \def\!!!putanyline{\!putanylinebox}%
+ \else \if c\!nextchar \def\!!!putanyline{\!putanylinecircle}%
+ \else \if a\!nextchar \def\!!!putanyline{\!putanylinearc}%
+%
+ \else \if B\!nextchar \def\!!!putanyline{\!putanylineBOX}%
+ \else \if C\!nextchar \def\!!!putanyline{\!putanylineCIRCLE}%
+ \else \if V\!nextchar \def\!!!putanyline{\!putanylineVECTOR}%
+ \else \if S\!nextchar \def\!!!putanyline{\!putanylineSLOPE}%
+%
+ \fi \fi \fi \fi
+ \fi \fi \fi \fi \fi \fi
+ \fi \fi \fi \fi \fi \fi
+ \fi \fi \fi
+ \fi \fi \fi \fi
+ \!!!putanyline}
+
+% from x y -- starting point
+% to x y -- draw line to (x,y), using \plot if necessary
+% slope dx dy -- draw line to (dx,dy), using \plot if necessary
+% jump dx dy -- jump by <dx,dy> without drawing
+%
+\def\!putanylinefrom from #1 #2 {%
+ \!xS=\!M{#1}\!xunit
+ \!yS=\!M{#2}\!yunit
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineto to #1 #2 {%
+ \!xE=\!M{#1}\!xunit
+ \!yE=\!M{#2}\!yunit
+ \!drawputanyline}
+\def\!putanylineslope slope #1 #2 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by \!xdiff
+ \!yE=\!yS \!ydiff=\!M{#2}\!yunit \advance\!yE by \!ydiff
+ \!drawputanyline}
+\def\!putanylinejump jump #1 #2 {%
+ \!xdiff=\!M{#1}\!xunit \advance\!xS by \!xdiff
+ \!ydiff=\!M{#2}\!yunit \advance\!yS by \!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+
+\def\!drawputanyline{%
+ \!xM=\!xE
+ \!yM=\!yE
+ \!xdiff=\!xE \advance\!xdiff by -\!xS
+ \!ydiff=\!yE \advance\!ydiff by -\!yS
+ \ifdim \!xdiff=\!zpt% vertical rule
+ \ifdim \!ydiff<\!zpt% adjusted for line thickness
+ \!ydiff=-0.5\linethickness
+ \else
+ \!ydiff=0.5\linethickness
+ \fi
+ \advance\!yE by \!ydiff
+ \advance\!yS by -\!ydiff
+ \setdimensionmode
+ \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
+ \setcoordinatemode
+ \else \ifdim \!ydiff=\!zpt% horizontal rule
+ \ifdim \!xdiff<\!zpt% adjusted for line thickness
+ \!xdiff=-0.5\linethickness
+ \else
+ \!xdiff=0.5\linethickness
+ \fi
+ \advance\!xE by \!xdiff
+ \advance\!xS by -\!xdiff
+ \setdimensionmode
+ \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
+ \setcoordinatemode
+ \else% line using \plot
+ {\setdimensionmode
+ \setlinear
+ \plot {\!xS} {\!yS} {\!xE} {\!yE} /
+ \setcoordinatemode}%
+ \fi \fi
+ \!xS=\!xM
+ \!yS=\!yM
+ \!ifnextchar/{\!finish}{\!putanyline}}
+
+% right s -- draw horizontal rule to right by s unit
+% left s -- draw horizontal rule to left by s unit
+% up s -- draw vertical rule up by s unit
+% down s -- draw vertical rule down by s unit
+% x a -- draw horizontal rule to x=a
+% y b -- draw vertical rule to y=b
+%
+\def\!putanylineright right #1 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by \!xdiff
+ \!yE=\!yS
+ \!drawputanyline}
+\def\!putanylineleft left #1 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by -\!xdiff
+ \!yE=\!yS
+ \!drawputanyline}
+\def\!putanylineup up #1 {%
+ \!xE=\!xS
+ \!yE=\!yS \!ydiff=\!M{#1}\!yunit \advance\!yE by \!ydiff
+ \!drawputanyline}
+\def\!putanylinedown down #1 {%
+ \!xE=\!xS
+ \!yE=\!yS \!ydiff=\!M{#1}\!yunit \advance\!yE by -\!ydiff
+ \!drawputanyline}
+\def\!putanylinex x #1 {%
+ \!xE=\!M{#1}\!xunit
+ \!yE=\!yS
+ \!drawputanyline}
+\def\!putanyliney y #1 {%
+ \!xE=\!xS
+ \!yE=\!M{#1}\!yunit
+ \!drawputanyline}
+
+% RIGHT s -- draw horizontal LaTeX vector to right by s unit
+% LEFT s -- draw horizontal LaTeX vector to left by s unit
+% UP s -- draw vertical LaTeX vector up by s unit
+% DOWN s -- draw vertical LaTeX vector down by s unit
+% X a -- draw horizontal LaTeX vector to x=a
+% Y b -- draw vertical LaTeX vector to y=b
+%
+\def\!putanylineRIGHT RIGHT #1 {%
+ \setdimensionmode
+ \put {\vector(1,0){#1}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!xdiff=\!M{#1}\!xunit \advance\!xS by \!xdiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineLEFT LEFT #1 {%
+ \setdimensionmode
+ \put {\vector(-1,0){#1}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!xdiff=\!M{#1}\!xunit \advance\!xS by -\!xdiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineUP UP #1 {%
+ \setdimensionmode
+ \put {\vector(0,1){#1}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!ydiff=\!M{#1}\!yunit \advance\!yS by \!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineDOWN DOWN #1 {%
+ \setdimensionmode
+ \put {\vector(0,-1){#1}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!ydiff=\!M{#1}\!yunit \advance\!yS by -\!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineX X #1 {%
+ \!xdiff=\!M{#1}\!xunit
+ \advance\!xdiff by -\!xS
+ \Divide <\!xdiff> by <\unitlength> forming <\!xE>
+ \placevalueinpts of <\!xE> in {\!putanylinescale}
+ \setdimensionmode
+ \ifdim \!xdiff<\!zpt
+ \put {\vector(-1,0){-\!putanylinescale}} [Bl] at {\!xS} {\!yS}
+ \else
+ \put {\vector(1,0){\!putanylinescale}} [Bl] at {\!xS} {\!yS}
+ \fi
+ \setcoordinatemode
+ \advance\!xS by \!xdiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineY Y #1 {%
+ \!ydiff=\!M{#1}\!yunit
+ \advance\!ydiff by -\!yS
+ \Divide <\!ydiff> by <\unitlength> forming <\!yE>
+ \placevalueinpts of <\!yE> in {\!putanylinescale}
+ \setdimensionmode
+ \ifdim \!ydiff<\!zpt
+ \put {\vector(0,-1){-\!putanylinescale}} [Bl] at {\!xS} {\!yS}
+ \else
+ \put {\vector(0,1){\!putanylinescale}} [Bl] at {\!xS} {\!yS}
+ \fi
+ \setcoordinatemode
+ \advance\!yS by \!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+
+% box width height -- put corner of box at current point
+% circle dia -- put center of circle at current point
+% arc dx dy deg -- draw arc from <dx,dy> about current point
+%
+\def\!putanylinebox box #1 #2 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by \!xdiff
+ \!yE=\!yS \!ydiff=\!M{#2}\!yunit \advance\!yE by \!ydiff
+ \setdimensionmode
+ \putrectangle corners at {\!xS} {\!yS} and {\!xE} {\!yE}
+ \setcoordinatemode
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylinecircle circle #1 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by 0.5\!xdiff
+ \!yE=\!yS
+ {\setdimensionmode
+ \circulararc 360 degrees from {\!xE} {\!yE} center at {\!xS} {\!yS}
+ \setcoordinatemode}%
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylinearc arc #1 #2 #3 {%
+ \!xE=\!xS \!xdiff=\!M{#1}\!xunit \advance\!xE by \!xdiff
+ \!yE=\!yS \!ydiff=\!M{#2}\!yunit \advance\!yE by \!ydiff
+ {\setdimensionmode
+ \circulararc {#3} degrees from {\!xE} {\!yE} center at {\!xS} {\!yS}
+ \setcoordinatemode}%
+ \!ifnextchar/{\!finish}{\!putanyline}}
+
+% BOX (x,y) [Blrbt] -- put LaTeX \framebox(x,y){} with [] orientation
+% CIRCLE dia -- put LaTeX \circle{d} at current point
+% VECTOR (x,y) s -- put LaTeX \vector(x,y){s} at current point
+% SLOPE (x,y) s -- put LaTeX \line(x,y){s} at current point
+%
+\def\!putanylineBOX BOX (#1,#2) [#3] {%
+ \setdimensionmode
+ \put {\begin{picture}(#1,#2)
+ \put(0,0){\framebox(#1,#2){}}
+ \end{picture}} [#3] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!ifnextchar/{\!finish}{\!plotrule}}
+\def\!putanylineCIRCLE CIRCLE #1 {%
+ \setdimensionmode
+ \put {\circle{#1}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineVECTOR VECTOR (#1,#2) #3 {%
+ \setdimensionmode
+ \put {\vector(#1,#2){#3}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!xE=#1\unitlength
+ \!yE=#2\unitlength
+ \ifdim \!xE=\!zpt% vertical
+ \!xdiff=\!zpt
+ \!ydiff=#3\unitlength
+ \ifdim \!yE<\!zpt
+ \!ydiff=-\!ydiff
+ \fi
+ \else
+ \!xdiff=#3\unitlength
+ \ifdim \!xE<\!zpt
+ \!xdiff=-\!xdiff
+ \fi
+ \Divide <\!yE> by <\!xE> forming <\!ydiff>
+ \placevalueinpts of <\!ydiff> in {\!putanylinescale}
+ \!ydiff=\!putanylinescale\!xdiff
+ \fi
+ \advance\!xS by \!xdiff
+ \advance\!yS by \!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+\def\!putanylineSLOPE SLOPE (#1,#2) #3 {%
+ \setdimensionmode
+ \put {\line(#1,#2){#3}} [Bl] at {\!xS} {\!yS}
+ \setcoordinatemode
+ \!xE=#1\unitlength
+ \!yE=#2\unitlength
+ \ifdim \!xE=\!zpt% vertical
+ \!xdiff=\!zpt
+ \!ydiff=#3\unitlength
+ \ifdim \!yE<\!zpt
+ \!ydiff=-\!ydiff
+ \fi
+ \else
+ \!xdiff=#3\unitlength
+ \ifdim \!xE<\!zpt
+ \!xdiff=-\!xdiff
+ \fi
+ \Divide <\!yE> by <\!xE> forming <\!ydiff>
+ \placevalueinpts of <\!ydiff> in {\!putanylinescale}
+ \!ydiff=\!putanylinescale\!xdiff
+ \fi
+ \advance\!xS by \!xdiff
+ \advance\!yS by \!ydiff
+ \!ifnextchar/{\!finish}{\!putanyline}}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \setanyline
+% \plot x0 y0 x1 y1 x2 y2 ... /
+%
+\def\setanyline{% changed from \setlinear
+ \let\!drawcurve=\!lcurverule
+ \let\!!Shade=\!!lShade
+ \let\!!!Shade=\!!!lShade}
+
+\def\!lcurverule #1 #2 {% changed from \!lcurve
+ \!start (#1,#2)
+ \!Ljoinrule}
+
+\def\!Ljoinrule #1 #2 {% changed from \!Ljoin
+ \!ljoinrule (#1,#2)
+ \!ifnextchar/{\!finish}{\!Ljoinrule}}
+
+\def\!ljoinrule (#1,#2){% changed from \!ljoin
+ \advance\!intervalno by 1
+ \!xE=\!M{#1}\!xunit
+ \!yE=\!M{#2}\!yunit
+ \!rotateaboutpivot\!xE\!yE
+ \!xdiff=\!xE \advance \!xdiff by -\!xS
+ \!ydiff=\!yE \advance \!ydiff by -\!yS
+ \!Pythag\!xdiff\!ydiff\!arclength% ** arclength = sqrt(xdiff**2+ydiff**2)
+ \global\advance \totalarclength by \!arclength%
+ \ifdim \!xdiff=\!zpt% vertical rule
+ \!xM=\!xE
+ \!yM=\!yE
+ \ifdim \!ydiff<\!zpt% adjusted for line thickness
+ \!ydiff=-0.5\linethickness
+ \else
+ \!ydiff=0.5\linethickness
+ \fi
+ \advance\!yE by \!ydiff
+ \advance\!yS by -\!ydiff
+ \setdimensionmode
+ \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
+ \setcoordinatemode
+ \!xS=\!xM
+ \!yS=\!yM
+ \else \ifdim \!ydiff=\!zpt% horizontal rule
+ \!xM=\!xE
+ \!yM=\!yE
+ \ifdim \!xdiff<\!zpt% adjusted for line thickness
+ \!xdiff=-0.5\linethickness
+ \else
+ \!xdiff=0.5\linethickness
+ \fi
+ \advance\!xE by \!xdiff
+ \advance\!xS by -\!xdiff
+ \setdimensionmode
+ \putrule from {\!xS} {\!yS} to {\!xE} {\!yE}
+ \setcoordinatemode
+ \!xS=\!xM
+ \!yS=\!yM
+ \else
+ \!drawlinearsegment% set by dashpat to \!linearsolid or \!lineardashed
+ \!xS=\!xE
+ \!yS=\!yE
+ \fi \fi
+ \ignorespaces}
+
+\catcode`!=12
+
+% End of pictex2.sty
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-23 23:07:00 +0000