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DraTex.sty
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DraTex.sty
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% v 1.5
% DraTex %
% Copyright (C) 1992 by Eitan M. Gurari %
% %
% This program can redistributed and/or modified under %
% the terms of the LaTeX Project Public License %
% Distributed from CTAN archives in directory %
% macros/latex/base/lppl.txt; either version 1 of the %
% License, or (at your option) any later version. %
% %
% However, you are allowed to modify this program %
% without changing its name, if you modify its %
% signature. Changes to the signature can be introduced %
% with a directive of the form %
% \message{signature} %
% %
% http://www.cis.ohio-state.edu/~gurari %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\expandafter\edef\csname :RestoreCatcodes\endcsname{%
\catcode`\noexpand\noexpand\noexpand \^=\the\catcode`\^%
}
\catcode`\^=7
\expandafter\edef\csname :RestoreCatcodes\endcsname{%
\csname :RestoreCatcodes\endcsname
\catcode`\noexpand \_=\the\catcode`\_%
\catcode`\noexpand :=\the\catcode`:%
\catcode`\noexpand @=\the\catcode`@%
\catcode`\noexpand /=\the\catcode`/%
\catcode`\noexpand &=\the\catcode`&%
\catcode`\noexpand \^^M=\the\catcode`\^^M%
\catcode`\noexpand \^^I=\the\catcode`\^^I%
\let\expandafter\noexpand
\csname:RestoreCatcodes\endcsname=\noexpand\undefined}
\catcode`\:11 \catcode`\@11
\let\:wlog\wlog \def\wlog#1{}
\def\:wrn#1#2{\immediate\write\sixt@@n{--DraTeX warning--
\ifcase #1
DraTex.sty already loaded
\or \string\Draw\space within \string\Draw
\or Changing definition of \string#2
\or No intersection points: #2
\or Improper rotation of axes: #2
\or (#2) in \string\DSeg\space is a point
\fi}}
\def\:err#1#2{\errmessage{--DraTeX error-- \ifcase #1
\string#2\space meaningless in three dimensions
\or \string#2\space meaningless in two dimensions
\or No \string\MarkLoc(#2)
\or \string#2 in three dimensions
\or Too many parameters in definition
\or \string\MoveFToOval(#2)?
\fi}}
\ifx\:Xunits\:undefined \else \:wrn0{} \fi
\catcode`\ 9 \catcode`\^^M9 \catcode`\^^I9
\def\:UBorder{0}
\newdimen\:LBorder \newdimen\:RBorder\chardef\:eight=8
\mathchardef\:cccvx=360
\newdimen\:mp \:mp 0.1\p@
\newdimen\:mmp \:mmp 0.01\p@
\newdimen\:mmmp \:mmmp 0.001\p@
\newdimen\:XC \:XC 90\p@
\newdimen\:CVXXX \:CVXXX180\p@
\newdimen\:CCCVX \:CCCVX\:cccvx\p@ \newdimen\:TeXLoc
\newbox\:box\newif\if:IIID \newdimen\:Z \newdimen\:Zunits
\newdimen\:Ex \newdimen\:Ey \newdimen\:Ez
\def\:AbsVal#1{ \ifdim#1<\z@-\fi #1 }
\def\:abs#1{\ifdim #1<\z@ #1-#1 \fi}
\def\:AbsDif#1#2#3{ #1#2 \advance#1 -#3
\ifdim #1<\z@ #1-#1 \fi}
\def\:diff#1#2#3{ #1#2 \advance#1 -#3 }
\def\:average#1#2#3{
#1#2 \advance#1 #3 \divide#1 \tw@}\def\:Opt#1#2#3#4{
\def\:temp{
\ifx \:next\ifnum \def\:next{#3#1#4#2}
\else\ifx \:next#1 \def\:next{#3}
\else \def\:next{#3#1#4#2}\fi\fi \:next}
\futurelet\:next\:temp}\def\Define#1{\:multid#1
\:Opt(){\:Define#1}0}
\def\:DraCatCodes{\catcode`\ 9 \catcode`\^^M9
\catcode`\^^I9 \catcode`\&13 \catcode`\~13 }
\def\:Define#1(#2){\begingroup \:DraCatCodes \::Define#1(#2)}
\def\::Define#1(#2)#3{\endgroup
\let\:NextDefine\NextDefine
\let\NextDefine\relax
\ifcase#2\relax
\def#1{#3}\or
\:TxtPar\def#1(##1){#3}\or
\:TxtPar\def#1(##1,##2){#3}\or
\:TxtPar\def#1(##1,##2,##3){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4,##5){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4,##5,##6){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4,##5,##6,##7){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4,##5,##6,##7,##8){#3}\or
\:TxtPar\def#1(##1,##2,##3,##4,##5,##6,##7,##8,##9){#3}\or
\:err4{}\fi \let\:TxtPar\relax \:NextDefine}
\let\NextDefine\relax\let\:TxtPar\relax
\def\WarningOn{\def\:multid##1{
\ifx ##1\:undefined \else \:wrn2##1\fi}}
\def\:gobble#1{}
\def\WarningOff{\let\:multid\:gobble} \WarningOff
\Define\Indirect{\futurelet\:next\:Indirect}
\Define\:Indirect{\:theDoReg
\ifx \:next<
\def\:temp{\let\DoReg\:DoReg}
\def\:next<##1>{\expandafter\:temp\csname :<##1>\endcsname}
\else
\def\:next##1<##2>{
\expandafter\ifx \csname :<##2> \endcsname \relax
\def\:next{##1} \fi
\:indrwrn\Define \:indrwrn\Object
\:indrwrn\Table \:indrwrn\IntVar \:indrwrn\DecVar
\def\:temp{\let\DoReg\:DoReg##1}
\expandafter\:temp \csname :<##2> \endcsname}
\fi \:next} \def\:indrwrn#1{ \def\:temp{#1}
\ifx \:next\:temp \def\:wrn##1##2{\let\:wrn\::wrn} \fi}
\let\::wrn\:wrn
\Define\:Hline{
\setbox\:box\hbox{\vrule height0.5\:thickness
depth 0.5\:thickness width\:x}
{\:d\:X \advance\:d \wd\:box
\advance\:X -\:TeXLoc \global\:TeXLoc\:d
\vrule width\:X depth\z@ height\z@
\raise \:Y \box\:box} }\Define\:Vline{
\setbox\:box\hbox{\vrule width\:thickness
\ifdim \:y>\z@ height\:y depth\z@
\else height\z@ depth-\:y \fi}
\advance\:X -0.5\:thickness
{\:d\:X \advance\:d \wd\:box
\advance\:X -\:TeXLoc \global\:TeXLoc\:d
\vrule width\:X depth\z@ height\z@
\raise \:Y \box\:box} }\Define\:MvTo(2){\:X#1\:Xunits \:Y#2\:Yunits}
\Define\:Mv(2){\advance\:X #1\:Xunits
\advance\:Y #2\:Yunits}
\def\:DLn(#1,#2,{\:MvTo(#1,#2) \:LnTo(}\Define\:LnTo(2){
\:x#1\:Xunits \advance\:x -\:X
\:y#2\:Yunits \advance\:y -\:Y
\:Ln(\:x\du,\:y\du) }\Define\:Ln(2){
\:x#1\:Xunits \:y#2\:Yunits
{ \ifdim \:x<\z@
\advance\:X \:x \:x-\:x
\advance\:Y \:y \:y-\:y
\fi
\:yy\:AbsVal\:y
\:dd\:yy \advance\:dd \:x
\ifdim \:dd>\:mmmp
\ifdim \:x>\:yy
{ \ifdim\:X<\:LBorder \global\:LBorder\:X\fi
\advance \:X \:x
\ifdim \:X>\:RBorder \global\:RBorder\:X\fi\advance \:Y 0.5\:thickness
\ifdim \:Y>\:UBorder \xdef\:UBorder{\the\:Y} \fi
\advance \:Y \:y
\ifdim \:Y>\:UBorder \xdef\:UBorder{\the\:Y} \fi }
\let\:Yunitsy\:x \let\:Xunitsx\:y \let\:temp\:Hline
\:dd0.6\:yy \:divide\:dd\:x
\else
{ \advance \:X -0.5\:thickness
\ifdim \:X<\:LBorder \global\:LBorder\:X \fi
\advance \:X \:thickness
\advance \:X \:x
\ifdim \:X>\:RBorder \global\:RBorder\:X\fi
\ifdim \:Y>\:UBorder \xdef\:UBorder{\the\:Y} \fi
\advance \:Y \:y
\ifdim \:Y>\:UBorder \xdef\:UBorder{\the\:Y} \fi }
\let\:Yunitsy\:y \let\:Xunitsx\:x \let\:temp\:Vline
\:dd0.6\:x
\ifdim \:x>\:mmp \:divide\:dd\:yy \fi
\fi
\advance\:dd 0.4\p@
\:ragged\:Cons\:dd\:ragged
\:HVLn
\fi }
\advance\:X \:x \advance\:Y \:y}\Define\:HVLn{
\:xx\:AbsVal\:Xunitsx \:divide\:xx\:ragged
\advance\:xx 0.99\p@ \:K\:InCons\:xx \relax
\ifnum \:K>\z@
\divide\:Xunitsx \:K \advance\:K \@ne
\divide\:Yunitsy \:K
\else \:K\@ne \fi \:NextLn}
\Define\:NextLn{
\ifnum\:K=\z@ \let\:NextLn\relax
\else { \:temp } \advance\:K \m@ne
\advance\:X \:x \advance\:Y \:y
\fi \:NextLn}\newdimen\:ragged
\Define\Ragged(1){ \:ragged#1\p@ \:ragged0.1\:ragged }
\Ragged(7.5)
\Define\PaintUnderCurve(4){{
\:Z\:Y \def\:next{\Curve(#1,#2,#3,#4)}
\MoveToLoc(#1) \:d\:X \MoveToLoc(#4)
\advance\:d -\:X
\ifdim \:AbsVal\:d<\:mmp \def\:next{}
\else
\def\:CrvLnTo(##1,##2){
\:x \:X \:y \:Y \:X\:DJ \:Y\:yyyy
\:xx\:X \:dddd \:Y \:X\:x \:Y\:y
{ \advance\:Y \:dddd \divide\:Y \tw@
\advance\:Z -\:Y
\advance\:Y 0.5\:Z
\:dddd \:AbsVal \:Z \:d\z@
\def\:CrvLnTo{\:LnTo}
\:yy\:Y \:dd\:dddd \:ddd\:dddd
\::paint }}
\fi \:next }}
\Define\DoCurve(1){ \let\:StopCurve\:SlowCurve
\def\:CMv(##1){ \:x\:X \:y\:Y \:MvTo(##1)
\advance\:x -\:X \advance\:y -\:Y
\:xxx \:x \:yyy\:y}
\:DoCurve{\Curve(#1)}
\let\:StopCurve\:FastCurve}
\def\:DoCurve#1(#2)#3{{\XSaveUnits
\def\:next{#1} \:MvTo(#2,#2)
\:x\:AbsVal\:X \:y\:Y \:ddd\z@ \:length
\:Z\:d \:divide\:Z{1.41421\p@}
\edef\:tempa{\the\:DoDist} \global\:DoDist\z@
\def\:CrvLnTo(##1){ \MarkLoc(1^) \:CMv(##1)
{ \MarkLoc(2^) \:ddd\z@ \:length
\:dd \:DoDist \global\advance\:DoDist \:d
\:ddd \:DoDist \:divide\:ddd\:Z
\DoReg\:InCons\:ddd \:Z\DoReg\:Z
\ifdim \:Z>\:dd
\advance\:Z -\:DoDist
\advance\:dd -\:DoDist
\:divide\:Z\:dd
\advance\:X \:Cons\:Z\:xxx
\advance\:Y \:Cons\:Z\:yyy \:DoRot
\def\:CrvLnTo{\:LnTo}
\def\:OvalLn{\:Ln} \XRecallUnits #3 \fi}}
\:next \xdef\:DoDim{\:Cons\:DoDist}
\global\:DoDist\:tempa }
\let\DoDim\:DoDim}
\newdimen\:DoDist\def\:DoRot{ \DSeg\RotateTo(1^,2^) }
\def\DoLine(#1,#2)(#3)#4{
\MarkLoc($1) \Move(#1,#2)
\def\:next{ { \MarkLoc($2)
\DSeg\RotateTo($1,$2) \let\:DoRot\relax
\edef\:RecallRagged{\the\:ragged} \MoveTo(#3,#3)
\:x\:AbsVal\:X \:y\:Y \:ddd\z@ \:length
\:ragged\:d \divide\:ragged \tw@
\DoCurve($1,$1,$2,$2)(#3)
{\:ragged\:RecallRagged #4} }
\let\DoDim\:DoDim} \:next }
\def\Table#1{\begingroup \:DraCatCodes \:multid#1
\:DefineData#1}
\def\:DefineData#1#2{\endgroup
\let\:temp~ \def~{\noexpand~}
\edef#1{\noexpand\:DoPoly\expandafter\noexpand\csname :\string#1\endcsname}
\expandafter\edef \csname :\string#1\endcsname
##1{\noexpand\ifcase##1(#2)\noexpand\fi}
\let~\:temp \:DoNextPoly \:DoNextPoly}
\def\:OR{\let\:or\or} \:OR \catcode`\&13 \def&{)\noexpand\:or(}
\def\TableData{\begingroup \:DraCatCodes \:TableData}
\def\:TableData#1#2#3{\endgroup \Table\:temp{#3}
\:K\z@ \:J\z@ \def\:tempa(##1){\advance\:J \@ne }
\:temp(0,999){\:tempa} \let\:tempa& \def\:temp{\def#1}
\def&##1&{
\ifnum \:K<\:J
\advance\:K \@ne
\ifnum \:K=\@ne \def#1{#2(##1)}
\else
\:IIIexpandafter\:temp\expandafter{
#1 & #2(##1) }
\fi
\else \let\:next\relax \fi
\:next}
\let\:next& && \let&\:tempa }
\catcode`\&4 \def\:DoPoly#1(#2,#3)#4{
\expandafter\let \csname :Back\the\:level\endcsname\:or
\expandafter\edef\csname :DoVars\the\:level\endcsname{
\:DoB\the\:DoB}
\advance\:level \@ne
\:DoB#3 \advance\:DoB -#2
\def\:PolyOr(##1){
\ifnum \:DoB=\z@ \:OR
\else #4(##1) \advance\:DoB \m@ne \fi}
\:OR
\def\:temp{\let\:or\:PolyOr #4}
\:IIIexpandafter\:temp#1{#2}
\advance\:level \m@ne
\csname :DoVars\the\:level\endcsname
\def\:temp{\let\:or}
\expandafter\:temp\csname :Back\the\:level\endcsname }
\Define\PaintRect(2){\def\:next{{ \MarkLoc(^)
\MoveToLoc(^) \Move( #1,0) \MarkLoc(^1) \Move(0,#2)
\MarkLoc(^2) \Move(-#1,0) \MarkLoc(^3)
\PaintQuad(^,^1,^2,^3) }}\:next}
\Define\PaintRectAt(4){\def\:next{{ \MoveTo(#1,#2)
\:Ex#3\p@ \advance\:Ex -#1\p@
\:Ey#4\p@ \advance\:Ey -#2\p@
\PaintRect(\:Cons\:Ex,\:Cons\:Ey)}}
\:next}\def\::paint{
\ifdim \:d<\:ragged \advance\:xx -\:X
\:yyy\:Y \:xxx\:dddd
\advance\:Y \:yy \divide\:Y \tw@
\:average\:dddd\:dd\:ddd
\def\:next{\:brush(\:xx,\z@)\:Y\:yyy\:dddd\:xxx}
\else \divide\:d \tw@
\:average\:x\:X\:xx
\:average\:y\:Y\:yy
\:average\:dddd\:dd\:ddd
\fi \:next}\Define\:paint{{ \:AbsDif\:d\:xx\:x
\ifdim \:d<\:mmp \let\::paint\relax
\else
\ifdim \:y >\:yyy \:dd\:y \:y \:yyy \:yyy \:dd \fi
\ifdim \:yy>\:yyyy \:dd\:yy \:yy\:yyyy \:yyyy\:dd \fi
\:AbsDif\:dd\:yyyy\:yyy \:AbsDif\:ddd\:yy\:y
\ifdim \:dd<\:ddd \:dd\:ddd \fi
\ifdim \:d >\:dd \:d\:dd \fi
\advance\:d \:d \:diff\:dd\:y\:yyy
\:diff\:ddd\:yy\:yyyy
\advance\:y -0.5\:dd \:abs\:dd
\advance\:yy -0.5\:ddd \:abs\:ddd
\:X\:x \:Y\:y
\:average\:dddd\:dd\:ddd
\def\:next{ \:lpaint \:rpaint }
\fi
\::paint }}
\Define\:lpaint{ { \:xx\:x \:yy \:y \:ddd\:dddd \::paint} }
\Define\:rpaint{ { \:X \:x \:Y \:y \:dd \:dddd \::paint} }
\Define\PaintQuad(4){\def\:next{{\Units(1pt,1pt)
\MoveToLoc(#1) \:x \:X \:y \:Y
\MoveToLoc(#2) \:xx \:X \:yy \:Y
\MoveToLoc(#3) \:xxx\:X \:yyy\:Y
\MoveToLoc(#4) \:xxxx \:X \:yyyy \:Y
\:paintQuad }}\:next}
\def\:paintQuad{{
\:SetVal\:a\:x\:y\:xx\:yy\:xxxx\:yyyy
\:SetVal\:b\:xx\:yy\:xxx\:yyy\:x\:y
\:SetVal\:c\:xxx\:yyy\:xx\:yy\:xxxx\:yyyy
\:SetVal\:cc\:xxxx\:yyyy\:xxx\:yyy\:x\:y
\def\:A{\:a} \def\:B{\:b} \def\:C{\:c} \def\:D{\:cc}
\:sort\:B\:A
\:sort\:C\:B \:sort\:B\:A
\:sort\:D\:C \:sort\:C\:B \:sort\:B\:A
\let\:temp\relax
\:IsTriang\:A\:B
\:IsTriang\:B\:C
\:IsTriang\:C\:D
\:temp
\:Quad\:A\:temp> \:xxxx\:xx \:yyyy\:yy \:Z\:d
\:Quad\:D\:next<
\:PrePaint(\:xx,\:yy,\:d,\:xxxx,\:yyyy,\:Z)
\:temp \:next }}
\Define\:PrePaint(6){
\:x#1 \:y#2 \:yyy#3 \:xx#4 \:yy#5 \:yyyy#6
\:paint }\def\:Quad#1#2#3{
\:GetVal#1\:x\:y0
\:GetVal#1\:xx\:yy1
\:GetVal#1\:xxx\:yyy2
\ifdim \:xx#3\:xxx
\:ddd\:xx \:xx\:xxx \:xxx\:ddd
\:ddd\:yy \:yy\:yyy \:yyy\:ddd
\fi
\def#2{}
\:diff\:dd\:xxx\:xx
\ifdim \ifdim\:AbsVal\:dd<\:mp \:yy=\:yyy \else \z@>\z@ \fi
\:d\:yy
\else
\ifdim \:AbsVal\:dd>\:mp
\:diff\:dd\:xxx\:x \:diff\:ddd\:yyy\:y
\:divide\:ddd\:dd \:diff\:dd\:xx\:xxx
\:ddd\:Cons\:ddd\:dd \advance\:ddd \:yyy
\:d\:ddd
\else \:d\:yyy \fi
\edef#2{ \noexpand\:PrePaint
(\the\:x ,\the\:y ,\the\:y,
\the\:xx,\the\:yy,\the\:d) }
\fi}\def\:SetVal#1#2#3#4#5#6#7{
\edef#1{(\the#2,\the#3,\the#4,\the#5,\the#6,\the#7)}}
\def\:sort#1#2{
\ifdim \:IIIexpandafter\:field#1 <
\:IIIexpandafter\:field#2
\let\:temp#1 \let#1#2 \let#2\:temp
\fi }
\Define\:field(6){#1}
\def\:GetVal#1#2#3{
\:IIIexpandafter\::GetVal #1#2#3}
\def\::GetVal(#1,#2,#3,#4,#5,#6)#7#8#9{
\ifcase #9 #7#1 #8#2\or #7#3 #8#4\or #7#5 #8#6 \fi}
\def\:IsTriang#1#2{
\ifdim \:IIIexpandafter\:field#1 =
\:IIIexpandafter\:field#2
\ifdim \:IIIexpandafter\:fieldB#1 =
\:IIIexpandafter\:fieldB#2
\def\:temp{ \:FixTria }
\fi \fi }
\def\:FixTria{
\edef\:temp{\:IIIexpandafter\:FrsII\:B}
\ifdim \:IIIexpandafter\:field\:A =
\:IIIexpandafter\:field\:B
\ifdim \:IIIexpandafter\:fieldB\:A =
\:IIIexpandafter\:fieldB\:B
\edef\:temp{\:IIIexpandafter\:FrsII\:C}
\fi\fi
\edef\:A{\:IIIexpandafter\:FrsII\:A}
\edef\:D{\:IIIexpandafter\:FrsII\:D}
\edef\:temp{
\def\noexpand\:a{(\:A,\:temp,\:D)}
\def\noexpand\:b{(\:temp,\:A,\:D)}
\def\noexpand\:c{\noexpand\:b}
\def\noexpand\:cc{(\:D,\:A,\:temp)}}
\:temp
\def\:A{\:a} \def\:B{\:b} \def\:C{\:c} \def\:D{\:cc} }
\Define\:fieldB(6){#2}
\Define\:FrsII(6){#1,#2}
\def\:IIIexpandafter{\expandafter\expandafter\expandafter}
\Define\DrawRect(2){ \Line( #1,0) \Line(0, #2)
\Line(-#1,0) \Line(0,-#2)}
\Define\DrawRectAt(4){{
\MoveTo(#1,#2) \LineTo(#3,#2) \LineTo(#3,#4)
\LineTo(#1,#4) \LineTo(#1,#2)}}
\def\du#1{ \ifx#1\:Xunits \else\ifx#1\:Yunits
\else\ifx#1\:Zunits \else #1
\fi \fi \fi}
\let\:svdu=\du
\Define\XSaveUnits{
\expandafter\edef\csname XRecallUnits\the\:level\endcsname{
\:StoreUnits}
\advance\:level \@ne}
\Define\XRecallUnits{
\advance\:level \m@ne
\csname XRecallUnits\the\:level \endcsname}
\Define\SaveUnits{
\edef\RecallUnits{ \:StoreUnits } }
\Define\:StoreUnits{ \:Xunits \the\:Xunits
\:Yunits \the\:Yunits \:Zunits \the\:Zunits
\:Xunitsx\the\:Xunitsx \:Xunitsy\the\:Xunitsy
\:Yunitsx\the\:Yunitsx \:Yunitsy\the\:Yunitsy }
\Define\:SearchDir{
\ifdim \:x<\z@ \:x-\:x \:y-\:y
\edef\:tempA{\advance\:ddd \ifdim \:y<\z@ - \fi\:CVXXX}
\else \def\:tempA{} \fi
\ifdim \:y<\z@
\edef\:tempA{\:ddd-\:ddd \advance\:ddd \:CCCVX \:tempA}
\:y-\:y
\fi
\ifdim \:y>\:x
\:ddd\:y \:y\:x \:x\:ddd
\edef\:tempA{\advance\:ddd -\:XC \:ddd-\:ddd \:tempA}
\fi
\:divide\:y\:x \:d57.29578\:y
\:ddd\:d \:sqr\:y \:K \@ne
\Do(1,30){\advance\:K \tw@
\:d-\:Cons\:y\:d \:dd\:d \divide\:dd \:K
\advance\:ddd \:dd }
\advance\:ddd -0.49182\:dd
\:tempA }\Define\Curve(4){\def\:next{{ \XSaveUnits \Units(1pt,1pt)
\MoveToLoc(#1) \:DI \:X \:DK \:Y
\MoveToLoc(#2) \:ddd \:X \:Ez \:Y
\MoveToLoc(#3) \:dd\:X \:Ey\:Y
\MoveToLoc(#4) \:DJ\:X \:yyyy\:Y \:Curve }}\:next}
\Define\:FastCurve{ \:AbsDif\:d\:DI\:ddd \:AbsDif\:dddd\:DK\:Ez
\advance\:d \:dddd
\ifnum \:d<\:ragged
\:AbsDif\:d\:DJ\:dd \:AbsDif\:dddd\:yyyy\:Ey
\advance\:d \:dddd \fi}
\let\:StopCurve\:FastCurve
\Define\:SlowCurve{
\:AbsDif\:d\:DI\:DJ \:AbsDif\:dddd\:DK\:yyyy
\advance\:d \:dddd }
\Define\:Curve{ \:StopCurve
\ifnum \:d<\:ragged \:X\:DI \:Y\:DK
\:CrvLnTo(\:Cons\:DJ,\:Cons\:yyyy)
\def\:SubCurves{} \fi
\:SubCurves}
\def\:CrvLnTo{\:LnTo}\Define\:SubCurves{
\:average\:yy\:DI\:ddd \:average\:Ex\:DK\:Ez
\:average\:ddd\:ddd\:dd \:average\:Ez\:Ez\:Ey
\:average\:dd\:dd\:DJ \:average\:Ey\:Ey\:yyyy
\:average\:Zunits\:yy\:ddd \:average\:Vdirection\:Ex\:Ez
\:average\:ddd\:ddd\:dd \:average\:Ez\:Ez\:Ey
\:average\:DL\:Zunits\:ddd \:average\:xxxx\:Vdirection\:Ez
{ \:ddd \:yy \:Ez \:Ex \:dd\:Zunits
\:Ey\:Vdirection \:DJ\:DL \:yyyy\:xxxx \:Curve }
\:DI \:DL \:DK \:xxxx \:Curve }
\def\MoveToCurve[#1]{
\Define\:BiSect(3){\MoveToLoc(##1)
\CSeg[#1]\Move(##1,##2)
\MarkLoc(##3) }\:MvToCrv}
\Define\:MvToCrv(4){ \:BiSect(#1,#2,:a) \:BiSect(#2,#3,:b)
\:BiSect(#3,#4,:c) \:BiSect(:a,:b,:A) \:BiSect(:b,:c,:B)
\:BiSect(:A,:B,:Q)}
\Define\:OvalDir(3){ \:CosSin{#3\p@}
\:Zunits\p@ \:d#2\:Zunits \:x\:Cons\:d\:x
\:Zunits\p@ \:d#1\:Zunits \:y\:Cons\:d\:y
\:SearchDir }\Define\DrawOval (2){ \DrawOvalArc(#1,#2)(0,\:cccvx) }
\Define\PaintOval (2){ \PaintOvalArc(#1,#2)(0,\:cccvx) }
\Define\DrawCircle (1){ \DrawOval(#1,#1) }
\Define\PaintCircle(1){ \PaintOval(#1,#1) }
\def\DrawOvalArc(#1,#2)(#3,#4){{
\:xxxx#4\p@ \advance\:xxxx -#3\p@
\ifdim \:xxxx=\z@ \else
\let\:SinOne\:SinB \:OvalDir(#1,#2,#3) \:DJ\:ddd
\:OvalDir(#1,#2,#4) \:diff\:DI\:ddd\:DJ
\ifdim\:DI<\z@ \advance\:DI \:CCCVX \fi
\ifdim \:xxxx<\:CCCVX \else \:DI\:CCCVX \fi
\:InitOval(#1,#2) \:CosSin\:DJ
\:xxxx\:x \:yyyy\:y \:xx\:X \:yy\:Y
\advance\:X \:Xx\:x \advance\:X \:Yx\:y
\advance\:Y \:Xy\:x \advance\:Y \:Yy\:y
\let\:Xunits\empty \let\:Yunits\empty
\Do(1,\:InCons\:DI){
\:dd\:X \:ddd\:Y \:X\:xx \:Y\:yy
\:AdvOv\:xxx\:yyy\:xxxx\:yyyy
\:X\:dd \:Y\:ddd
\advance\:xxx -\:X \advance\:yyy -\:Y
\:d\:AbsVal\:xxx
\advance\:d \:AbsVal\:yyy
\ifdim \:d>\:ragged
\:OvalLn(\:xxx,\:yyy) \fi }
\:OvalDir(#1,#2,#4) \:CosSin\:ddd
\advance\:xx \:Xx\:x \advance\:xx \:Yx\:y
\advance\:yy \:Xy\:x \advance\:yy \:Yy\:y
\advance\:xx -\:X \advance\:yy -\:Y
\:OvalLn(\:xx,\:yy) \fi }}
\def\:OvalLn{\:Ln}\def\DoOvalArc(#1)(#2){ \:xx\:X \:yy\:Y
\def\:CMv(##1){ \:Mv(\:xxx,\:yyy)
\:x\:xxx \:y\:yyy}
\:DoCurve{ \:X\:xx \:Y\:yy
\def\:DoRot{ \let\:Xunits\:XunitsReg
\let\:Yunits\:YunitsReg
\DSeg\RotateTo(1^,2^) }
\let\::OvalLn\:CrvLnTo
\Define\:OvalLn(2){ \:dd\:AbsVal####1
\advance\:dd \:AbsVal####2 \:divide\:dd\:ragged
\:J\:InCons\:dd \advance\:J \@ne
\divide####1 \:J \divide####2 \:J
\Do(1,\:J){\::OvalLn(####1,####2)}}
\DrawOvalArc(#1)(#2)}}
\def\NextTable{\begingroup \:DraCatCodes \:NextTable}
\def\:NextTable#1{\endgroup
\def\:DoNextPoly{#1\NextTable{}}}
\NextTable{}\def\:AdvOv#1#2#3#4{
\:d\:CosOne#3 \advance\:d -\:SinOne#4
#4\:CosOne#4 \advance#4 \:SinOne#3 #3\:d
\divide#3 \:eight \divide#4 \:eight
#1\:X #2\:Y
\:d\:Xx#3 \advance\:d \:Yx#4 \advance#1 \:d
\:d\:Xy#3 \advance\:d \:Yy#4 \advance#2 \:d }
\def\:CosOne{7.99878} \def\:SinB{0.13962}
\def\PaintOvalArc(#1,#2)(#3,#4){{ \ifdim #3\p@=#4\p@
\let\:next\relax \else
\:d\:AbsVal{#1\:Xunits} \advance\:d \:AbsVal{#2\:Yunits}
\ifdim \:d<3\:ragged \divide \:d \tw@ \PenSize(\:d)
\:Mv(-0.5\:d\du,0) \:Ln(\:d\du,0)
\else \:InitOval(#1,#2)
\MarkLoc(o$) \RotateTo(#3) \MoveFToOval(#1,#2)
\:Ex\:X \:Ey\:Y \edef\:FirstOvDir{\:Cons\:ddd\p@}
\MoveToLoc(o$) \RotateTo(#4) \MoveFToOval(#1,#2)
\:Ez \:X \:Vdirection \:Y \edef\:LastOvDir{\:Cons\:ddd\p@}
\MoveToLoc(o$)
\if:rotated
\:Zunits\p@ \:Zunits#1\:Zunits
\:xx\:Cons\:Zunits\:Xunitsx
\:Zunits\p@ \:Zunits#2\:Zunits
\:yy\:Cons\:Zunits\:Yunitsx
\:x\:xx \:y\:yy \:ddd\z@ \:length
\:ddd\:d \:divide\:xx\:ddd \:divide\:yy\:ddd
\else \:xx\p@ \:yy\z@ \fi
\:AbsDif\:d{#3\p@}{#4\p@}
\ifdim \:d>359\p@ \:Ez-\:Xx\:xx \advance\:Ez -\:Yx\:yy
\:Vdirection-\:Xy\:xx \advance\:Vdirection -\:Yy\:yy
\advance\:Ez \:X \advance\:Vdirection \:Y
\:setpaint\:PaintOvOv<>
\else
\:x\:xx \:y\:yy \:SearchDir
\:xxx\:FirstOvDir \advance\:xxx -\:ddd
\ifdim \:xxx<\z@ \advance\:xxx \:CCCVX \fi
\:yyy\:LastOvDir \advance\:yyy -\:ddd
\ifdim \:yyy<\z@ \advance\:yyy \:CCCVX \fi
\:J\z@
\ifdim \:xxx<\:yyy \ifdim \:yyy<\:CVXXX
\:Pntovln\:FirstOvDir\:FirstOvDir\:LastOvDir
\else \ifdim \:xxx>\:CVXXX
\:Pntovln\:FirstOvDir\:FirstOvDir\:LastOvDir
\else \:yyy-\:yyy \advance\:yyy \:CCCVX
\ifdim \:xxx<\:yyy
\:setpaint\:PntLeftOvOv>< \:PntMovln\:FirstOvDir\:xx
\else \:FxLx \:setpaint\:PntLeftOvOv>< \:Pntmovln\:LastOvDir
\fi \fi \fi
\else \ifdim \:xxx<\:CVXXX
{ \:setpaint\:PaintOvOv<> } \:FxLx \:setpaint\:PntLeftOvOv><
\:Usrch \:PaintMidOvLn\:LastOvDir\:FirstOvDir
\else \ifdim \:yyy>\:CVXXX
{ \:FxLx \:setpaint\:PaintOvOv<> } \:setpaint\:PntLeftOvOv><
\:Dsrch \:PaintMidOvLn\:LastOvDir\:FirstOvDir
\else \:xxx-\:xxx \advance\:xxx \:CCCVX
\ifdim \:yyy<\:xxx
\:setpaint\:PaintOvOv<> \:PntMovln\:FirstOvDir\:xx
\else
\:FxLx \:setpaint\:PaintOvOv<> \:Pntmovln\:LastOvDir
\fi \fi \fi \fi
\fi \fi \fi}}\def\:setpaint#1#2#3{{\aftergroup#1
\:d\:Xx\:xx \advance\:d \:Yx\:yy
\ifdim \:d<\z@ \aftergroup#3
\else \aftergroup#2 \fi}}
\def\:FxLx{\:d\:Ex \:Ex\:Ez \:Ez\:d}
\def\:Pntovln#1{
\let\:SinOne\:SinB \:CosSin#1
\:xxxx\:Ex \:yyyy\:Ey \:Z\z@
\:PaintOvLn}
\def\:PntMovln{
\:Dsrch \:FxLx \:xx\:ddd \:PaintOvLn}
\def\:Pntmovln{
\:Usrch \:FxLx \:xx\:ddd \:PaintOvLn\:xx}
\def\:PaintMidOvLn#1#2{
\:FxLx \:xx\:ddd \:PaintOvLn#1#2
\:xxx\:Ez \:yyy\:Vdirection
\:ddd\:Xy\:x \advance\:ddd \:Yy\:y \advance\:ddd \:Y
\:PaintSlice}
\def\:PntLeftOvOv{
\:xx-\:xx \:yy-\:yy \:PaintOvOv}
\def\:Dsrch{ \def\:SinOne{-\:SinB}
\:xx\:x \:yy\:y \:SearchDir
\:x\:xx \:y\:yy
\:d\:Ey \:Ey\:Vdirection \:Vdirection\:d }
\def\:Usrch{
\let\:SinOne\:SinB
\:x\:xx \:y\:yy \:SearchDir
\:x\:xx \:y\:yy}\def\:PaintOvLn#1#2{
\:diff\:dd\:Ey\:Vdirection \:diff\:ddd\:Ex\:Ez
\ifdim \:AbsVal\:ddd>\:mp
\:divide\:dd\:ddd \:d#2
\advance\:d -#1
\ifnum \:d<\z@ \advance\:d \:CCCVX \fi
\:DoB\:InCons\:d \let\:next\:PntDo \:next
\fi}
\def\:PntDo{
\ifnum\:DoB=\z@ \let\:next\relax
\else
\::AdvOv\:x\:y
\ifdim \:d>\:ragged
\:ddd\:xxx \advance\:ddd -\:Ez
\:ddd\:Cons\:dd\:ddd
\advance\:ddd \:Vdirection \:PaintSlice
\fi
\advance\:DoB \m@ne
\fi \:next}\Define\:PaintSlice{ \:AbsDif\:dddd\:yyy\:ddd
\advance\:yyy \:ddd \divide\:yyy \tw@
{ \advance\:dddd \:Z \divide\:dddd \tw@
\:X\:xxxx \:Y\:yyy
\:xx\:xxx \advance\:xxx -\:xxxx
\:d\z@
\:yy\:Y \:dd\:dddd \:ddd\:dddd
\::paint }
\:xxxx\:xxx \:yyyy\:yyy \:Z\:dddd \:J\z@}
\def\::AdvOv#1#2{ \:AdvOv\:xxx\:yyy#1#2
\:AbsDif\:d\:xxxx\:xxx \advance\:J \@ne
\ifnum \:J=\sixt@@n \multiply\:d \@cclvi
\fi }\def\:PaintOvOv#1{ \def\:hdir{#1}
\:xxx\:Xx\:xx \advance\:xxx \:Yx\:yy
\:yyy\:Xy\:xx \advance\:yyy \:Yy\:yy
\advance\:xxx \:X \advance\:yyy \:Y
\:Z\z@ \:xxxx\:xxx \:yyyy\:yyy
\:x\:xx \:y\:yy \:DoB\z@ \:J\z@
\let\:next\:scanOvOv \:next }
\Define\:scanOvOv{ \advance\:DoB \@ne
\advance\:J \@ne
\:AbsDif\:d\:xxx\:Ez
\ifdim \ifdim \:xxx\:hdir\:Ez -
\else\ifdim \thr@@\:d<\:ragged -
\else\ifnum \:DoB>358 -
\fi \fi \fi \p@<\z@
\:ddd\:yyyy \advance\:ddd -0.5\:dddd
\:yyy\:yyyy \advance\:yyy 0.5\:dddd
\:xxx\:Ez \:PaintSlice
\let\:next\relax
\else
\:d\:xx \advance\:d -\:x
\:xxx\:yy \advance\:xxx -\:y
\ifdim -\:Xx\:d\:hdir\:Yx\:xxx
\let\:SinOne\:SinB
\::AdvOv\:xx\:yy
\ifdim \ifdim \:d >\:ragged -
\else \ifnum \:J>\sixt@@n -
\fi\fi \p@<\z@
\:J\z@ \def\:SinOne{-\:SinB}
\:AdvOv\:dd\:ddd\:x\:y \:PaintSlice \fi
\else
\def\:SinOne{-\:SinB}
\::AdvOv\:x\:y
\ifdim \ifdim \:d >\:ragged -
\else \ifnum \:J>\sixt@@n -
\fi\fi \p@<\z@
\:J\z@ \let\:SinOne\:SinB
\:AdvOv\:dd\:ddd\:xx\:yy \:PaintSlice \fi
\fi \fi
\:next}\Define\SetBrush{\:Opt[]\:SetBrush{}}
\def\:SetBrush[#1](#2,#3)#4{ \def\:temp{#4}
\ifx \:temp\empty
\def\:brush{ \let\:Xunits\empty \let\:Yunits\empty
\:thickness\:dddd \:Ln }
\else \def\:BruShape{#4}
\:dd#2\:Xunits \:ddd#3\:Yunits
\edef\:Grd{ \:dd\the\:dd \:ddd\the\:ddd }
\MarkLoc($$) \def\:temp{#1}
\ifx \:temp\empty \:X\z@ \:Y\z@
\else \MoveTo(#1) \fi
\edef\:BrOrg{ \:x\the\:X \:y\the\:Y }
\MoveToLoc($$)
\def\:brush(##1,##2){ \::brush } \fi }
\SetBrush(,){}\def\::brush{{ \SetBrush(,){}
\let\:Xunits\:XunitsReg \let\:Yunits\:YunitsReg
\advance\:Y -0.5\:dddd \:yy\:Y
\advance\:yy \:dddd
\:BrOrg \:Grd \advance\:xx \:X
\ifdim \:xx<\:X \:d\:X \:X\:xx \:xx\:d \fi
\:GridPt\:X\:x\:dd
\:GridPt\:Y\:y\:ddd \:x\:X
\:DoBrush }}\Define\:DoBrush{
\ifdim \:Y>\:yy \let\:DoBrush\relax
\else \ifdim \:X>\:xx \advance\:Y \:ddd \:X\:x
\else { \:BruShape } \advance\:X \:dd
\fi \fi \:DoBrush }\def\:GridPt#1#2#3{ \:xxxx#1
\advance#1 -#2 \:divide#1#3
#1\:InCons#1#3 \advance#1 #2
\ifdim #1=\:xxxx
\else \ifdim \:xxxx>#2 \advance#1 #3 \fi \fi }
\newcount\:IntId \edef\:IntCount{0\space}
\newcount\:DecId \edef\:DecCount{0\space}
\Define\:NewCount{\alloc@ 0\count \countdef \insc@unt }
\Define\:NewDimen{\alloc@ 1\dimen \dimendef \insc@unt }
\def\:NewVar#1#2#3#4#5{ \:multid#1
\def\:temp{ \csname \string#4\the#4\endcsname\z@
\edef#1{\noexpand#3 \csname \string#4\the#4\endcsname}}
\def\:next{ \xdef#5{\the#4\space} #2#1 \def\:next{\global\let}
\expandafter\:next \csname \string#4\the#4\endcsname#1 \:temp }
\advance#4 \@ne
\ifnum #4 > #5 \expandafter\:next \else \expandafter\:temp \fi }
\def\IntVar#1{\:NewVar#1\:NewCount\:IntOp\:IntId\:IntCount}
\def\DecVar#1{\:NewVar#1\:NewDimen\:DecOp\:DecId\:DecCount}
\DecVar\Q \DecVar\R \DecVar\T
\IntVar\I \IntVar\J \IntVar\K
\def\WriteVal#1{\immediate\write\sixt@@n{...\string#1=#1;}}
\newdimen\:X \newdimen\:Y
\newdimen\:x \newdimen\:y \newdimen\:d
\newdimen\:xx \newdimen\:yy \newdimen\:dd
\newdimen\:xxx \newdimen\:yyy \newdimen\:ddd
\newdimen\:xxxx\newdimen\:yyyy\newdimen\:dddd
\newcount\:J \newcount\:K
\newdimen\:DI \newdimen\:DJ
\newdimen\:DK \newdimen\:DL \newtoks\:t
\def\:IntFromPt#1#2{
\:d#2\relax
\advance\:d \ifdim\:d<-0.5\p@-\fi 0.5\p@
#1\:d \divide#1 65536\relax}
\def\:temp{\catcode`\p12 \catcode`\t12}
\def\:Cons{\catcode`\p11 \catcode`\t11}
\:temp \def\:Frac#1pt{#1}
\def\:rnd#1.#2pt{#1} \:Cons
\def\:Cons#1{\expandafter\:Frac\the#1}
\def\:sqr#1{#1\expandafter\:Frac\the#1#1}
\def\:InCons#1{\expandafter\:rnd\the#1}\def\:Val#1{#1;}
\let\Val\:Val\def\:IntOp#1#2{\csname :Op#2\endcsname#1}
\let\:SvIntOp\:IntOp
\def\:PreIntOp{\let\:IntOp\empty
\let\Val\empty}
\def\:PostIntOp{\let\:IntOp\:SvIntOp
\let\Val\:Val}
\expandafter\def\csname :Op;\endcsname#1{ \the#1}
\expandafter\def\csname :Op=\endcsname#1#2;{
\:PreIntOp#1#2\:PostIntOp}
\expandafter\def\csname :Op+\endcsname#1#2;{
\:PreIntOp\advance #1 #2\:PostIntOp}
\expandafter\def\csname :Op-\endcsname#1#2;{
\:PreIntOp\advance #1 -#2\:PostIntOp}
\expandafter\def\csname :Op/\endcsname#1#2;{
\:PreIntOp\divide#1 #2\:PostIntOp}
\expandafter\def\csname :Op*\endcsname#1#2;{
\:PreIntOp\multiply#1 #2\:PostIntOp}
\def\:DecOp#1#2{ \csname :xOp#2\endcsname#1}
\let\:SvDecOp\:DecOp
\def\:PreDecOp{\let\:IntOp\the \def\:DecOp{\:Cons}
\let\Val\empty \let\:du\empty}
\def\:PostDecOp{\let\:IntOp\:SvIntOp \let\Val\:Val
\let\:DecOp\:SvDecOp \let\:du\::du }
\def\::du#1{\p@
\ifx#1\p@ \let\:temp\relax
\else \def\:temp{\du{#1}}
\fi\:temp} \:PostDecOp
\expandafter\def\csname :xOp;\endcsname#1{ \:Cons#1}
\expandafter\def\csname :Op[\endcsname#1#2];{
\:PreDecOp \:dd#2\p@ \:IntFromPt#1\:dd
\:PostDecOp }
\expandafter\def\csname :xOp=\endcsname#1#2;{
\:PreDecOp#1#2\p@\:PostDecOp }
\expandafter\def\csname :xOp(\endcsname#1#2){
\:PreDecOp#1#2\p@\:PostDecOp }
\expandafter\def\csname :xOp+\endcsname#1#2;{
\:PreDecOp\advance #1 #2\p@\:PostDecOp }
\expandafter\def\csname :xOp-\endcsname#1#2;{
\:PreDecOp\advance #1 -#2\p@\:PostDecOp }
\expandafter\def\csname :xOp*\endcsname#1#2;{
\:PreDecOp#1 #2#1\:PostDecOp }
\expandafter\def\csname :xOp/\endcsname#1#2;{
\:PreDecOp \:divide#1{#2\p@} \:PostDecOp }
\let\IF\ifnum \let\THEN\relax
\let\ELSE\else \let\FI\fi
\def\EqText(#1,#2){
\z@=\z@ \fi \def\:temp{#1}
\def\:next{#2} \ifx \:temp\:next }
\def\:IfInt#1(#2,#3){ \z@=\z@ \fi
\:IntOp\:K=#2; \:IntOp\:J=#3; \ifnum \:K#1\:J }
\def\:IfDim#1(#2,#3){ \z@=\z@ \fi
\:DecOp\:d=#2; \:DecOp\:dd=#3; \ifdim \:d#1\:dd }
\def\EqInt{ \:IfInt= } \def\LtInt{ \:IfInt< }
\def\GtInt{ \:IfInt> }
\def\EqDec{ \:IfDim= } \def\LtDec{ \:IfDim< }
\def\GtDec{ \:IfDim> } \def\Do(#1,#2)#3{
\expandafter\let
\csname :Back\the\:level\endcsname\:Do
\expandafter\edef\csname :DoVars\the\:level\endcsname{
\DoReg\the\DoReg \:DoB\the\:DoB}
\advance\:level \@ne
\DoReg#1 \:DoB#2 \relax
\ifnum \DoReg<\:DoB
\def\:Do{\ifnum \DoReg>\:DoB
\let\:Do\relax
\else #3\advance\DoReg \@ne \fi
\:Do}
\else
\def\:Do{\ifnum \DoReg<\:DoB
\let\:Do\relax
\else #3\advance\DoReg \m@ne \fi
\:Do}
\fi \def\:nextdo{ \:Do \advance\:level \m@ne
\csname :DoVars\the\:level\endcsname
\def\:temp{\let\:Do}
\expandafter\:temp\csname
:Back\the\:level\endcsname } \:nextdo}
\let\:Do\relax
\newcount\DoReg \let\:DoReg\DoReg \newcount\:DoB
\newcount\:level\def\::divide#1{ \:DI\:DK \:dddd\:DL
\advance\:DI -\:Cons\:dddd#1
\:IntFromPt\:J\:dddd \advance\:dddd -\:J\p@
\multiply\:J \@M \:IntFromPt\:K{\@M\:dddd}
\advance\:J \:K \:dddd\@M\p@
\divide\:dddd \:J \advance#1 \:Cons\:DI\:dddd }
\def\:divide#1#2{ \:DK#1 \:DL#2 #1\z@
\::divide#1 \::divide#1 \::divide#1
\::divide#1 \::divide#1 }
\def\:Sqrt#1{ \ifdim #1<\:mmp #1\z@ \else
\:dd#1 \divide\:dd \tw@
\def\::Sqrt{ \:ddd#1
\:divide\:ddd\:dd \:AbsDif\:d\:dd\:ddd
\advance\:dd \:ddd \divide\:dd \tw@
\ifdim \:d < \:mmmp
\let\::Sqrt\relax \fi
\::Sqrt}
\::Sqrt #1\:dd \fi }\Define\:length{
\:dd \:AbsVal \:ddd
\:abs\:x \:abs\:y
\ifdim \:dd<\:x \:dd\:x \fi
\ifdim \:dd<\:y \:dd\:y \fi
\ifdim \:dd>\:mp
\:divide\:x\:dd \:sqr\:x
\:divide\:y\:dd \:sqr\:y
\:divide\:ddd\:dd \:sqr\:ddd
\advance\:x \:y \advance\:x \:ddd
\:y\:dd \:Sqrt\:x \:d\:Cons\:x\:y
\else \:d\:dd \fi}\Define\:distance(2){\MarkLoc(@^)
\MoveToLoc(#1) \:x \:X \:y \:Y \:ddd\:Z
\MoveToLoc(#2)
\advance\:x -\:X \advance\:y -\:Y
\advance\:ddd -\if:IIID \:Z \else \:ddd \fi
\:length \MoveToLoc(@^)}\def\:NormalizeDeg#1{
\:DL#1 \:K\:InCons\:DL
\divide\:K \:cccvx \multiply\:K \:cccvx
\advance #1 -\:K\p@
\ifdim #1<\z@ \advance #1 \:CCCVX \fi
\ifdim #1=\z@
\ifdim\:DL=\z@ \else
\advance #1 \:CCCVX \fi \fi }\def\:CosSin#1{ \:DK#1
\:NormalizeDeg\:DK \def\:tempA{}
\ifdim \:CVXXX<\:DK
\def\:tempA{\:y-\:y}
\advance\:DK -\:CCCVX \:DK-\:DK \fi
\ifdim \:XC<\:DK
\edef\:tempA{\:x-\:x \:tempA}
\advance\:DK -\:CVXXX \:DK-\:DK \fi
\ifdim 45\p@<\:DK
\edef\:tempA{\:d\:x \:x\:y \:y\:d \:tempA}
\advance\:DK -\:XC \:DK-\:DK \fi
\:x\p@ \:y0.01745\:DK \:d\:y \:K\@ne
\edef\:next{\advance\:K \@ne
\:sqr\:d \divide\:d \:K \advance}
\:next \:x -\:d \:next \:y -\:d
\:next \:x \:d \:next \:y \:d
\:next \:x -\:d \:next \:y -\:d
\:next \:x \:d \:next \:y \:d
\:tempA } \Define\:rInitOval(2){
\XSaveUnits \let\du=\:rdu
\:Zunits\p@ \:dd#1\:Zunits
\:d\:Cons\:dd\:Xunitsx \edef\:Xx{\:Cons\:d}
\:d\:Cons\:dd\:Xunitsy \edef\:Xy{\:Cons\:d}
\:dd#2\:Zunits
\:d\:Cons\:dd\:Yunitsx \edef\:Yx{\:Cons\:d}
\:d\:Cons\:dd\:Yunitsy \edef\:Yy{\:Cons\:d}
\XRecallUnits \let\du=\:svdu
}
\Define\:xyInitOval(2){
\:d#1\:Xunits \edef\:Xx{\:Cons\:d} \def\:Xy{0}
\:d#2\:Yunits \edef\:Yy{\:Cons\:d} \def\:Yx{0} }
\def\:FigSize#1#2#3{
\:x\:LBorder \:y\:RBorder \:d\:TeXLoc
{\Object\:temp{#3}
\setbox\:box\hbox{ \:temp
\multiply\:x by \tw@ \multiply\:y by \tw@
\xdef\:FSize{ \noexpand#1=\:Cons\:x;
\noexpand#2=\:Cons\:y;}}}
\global\:LBorder\:x \global\:RBorder\:y
\global\:TeXLoc \:d
\:FSize}
\expandafter\let \csname 0:Ln \endcsname\:Ln
\expandafter\def\csname 1:Ln \endcsname{
\advance\:x -\:X \advance\:y -\:Y
\csname 0:Ln \endcsname(\:x,\:y) }
\newcount\:ClipLevel \:ClipLevel\@ne
\Define\Clip{\futurelet\:next\:Clip}
\Define\:Clip{
\ifx \:next[ \expandafter\:DefClipOut
\else \expandafter\:DefClip \fi }
\def\:DefClipOut[#1]{ \:DefClip(#1) }
\Define\:DefClip(1){ \def\:temp{#1}
\ifx \:temp\empty
\:ClipLevel\@ne \def\:next{\let\:Ln}
\expandafter\:next\csname 0:Ln \endcsname
\else \def\:temp{\::DefClip(#1)} \fi \:temp }
\Define\::DefClip(1){ \MarkLoc(^)
\:x\:X \:y \:Y \Move(#1)