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authorJeffrey H. Kingston <jeff@it.usyd.edu.au>2010-09-14 20:36:08 +0000
committerJeffrey H. Kingston <jeff@it.usyd.edu.au>2010-09-14 20:36:08 +0000
commite3fe9fa1d10264370c63e20756e5cbd2c1050f43 (patch)
tree57165bf2889337044bc3633854e5aa38f7d89e6b /doc/expert/outfile.ps
parent73d840b9f14b65166b92e6b43f930fd0ef7b8267 (diff)
downloadlout-3.20.tar.gz
Lout 3.20 tag.3.20
git-svn-id: http://svn.savannah.nongnu.org/svn/lout/tags/3.20@10 9365b830-b601-4143-9ba8-b4a8e2c3339c
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+%%BeginResource: procset LoutFigPrependGraphic
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+% %
+% PostScript @SysPrependGraphic file for @Fig Jeffrey H. Kingston %
+% Version 2.0 (includes CIRCUM label) January 1992 %
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+ { 30 string cvs } ifelse
+ show
+ ( Command: ) show
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+ showpage stop
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+ dup 0 4 index putinterval
+ dup 3 index length 3 index putinterval
+ 3 1 roll pop pop
+} def
+
+% <string> lfigdebugprint -
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+% } def
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+/lfigdict 120 dict def
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+% error messages
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+/VMError (VMError error: run out of memory?) def
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+% push pi onto stack: - lfigpi <num>
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+% point at angle and distance: <point> <length> <angle> lfigatangle <point>
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+% angle from one point to another: <point> <point> lfigangle <angle>
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+% distance between two points: <point> <point> lfigdistance <length>
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+% difference in x coords: <point> <point> lfigxdistance <length>
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+%difference in y coords: <point> <point> lfigydistance <length>
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+} def
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+} def
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+{ pop pop
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+% painting (i.e. filling): - lfigwhite - (etc.)
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+
+% line caps (and joins, not currently used)
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+
+% shape and labels of the @Box symbol
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+ xsize 0 /SE lfigpointdef
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+ W SE lfigpadd /E lfigpointdef
+ S NW lfigpadd /N lfigpointdef
+ NE 0.5 lfigpmul /CTR lfigpointdef
+ [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
+ SW SE NE NW SW
+} def
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+ xsize ysize 0.5 mul /E lfigpointdef
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+ xmark 0.293 mul ysize xmark 0.293 mul sub /NW lfigpointdef
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+ [ xsize ysize 0.5 lfigpmul xmark /lfigcurveboxcircum cvx ] lfigcircumdef
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+ [ xsize xmark sub xmark ]
+ xsize xmark
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+ xsize xmark sub ysize
+ xmark ysize
+ [ xmark ysize xmark sub ]
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+ 0 xmark
+ [ xmark xmark ]
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+% shadow of the @ShadowBox symbol
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+ xsize xmark sub ysize xmark 2 mul sub lineto
+ xsize xmark sub xmark lineto
+ xmark 2 mul xmark lineto closepath fill
+} def
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+ CTR xsize xsize ysize ysize lfigpmax 0.5 lfigpmul lfigpadd /NE lfigpointdef
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+ CTR 0 0 CTR NE lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
+ CTR 0 0 CTR NE lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
+ SW 0.5 lfigpmul SE 0.5 lfigpmul lfigpadd /S lfigpointdef
+ NW 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /N lfigpointdef
+ SW 0.5 lfigpmul NW 0.5 lfigpmul lfigpadd /W lfigpointdef
+ SE 0.5 lfigpmul NE 0.5 lfigpmul lfigpadd /E lfigpointdef
+ [ CTR NE lfigpsub /lfigboxcircum cvx ] lfigcircumdef
+ SW SE NE NW SW
+} def
+
+% shape and labels of the @Diamond symbol
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+{
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+ 0 ysize 0.5 lfigpmul /W lfigpointdef
+ S W lfigpadd /CTR lfigpointdef
+ CTR W lfigpadd /N lfigpointdef
+ CTR S lfigpadd /E lfigpointdef
+ [ xsize ysize 0.5 lfigpmul /lfigdiamondcircum cvx ] lfigcircumdef
+ S E N W S
+} def
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+% shape and labels of the @Ellipse symbol
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+ 0 ysize 0.5 lfigpmul /W lfigpointdef
+ S W lfigpadd /CTR lfigpointdef
+ CTR W lfigpadd /N lfigpointdef
+ CTR S lfigpadd /E lfigpointdef
+ CTR xsize 0 0.3536 lfigpmul lfigpadd 0 ysize 0.3536 lfigpmul lfigpadd /NE lfigpointdef
+ 0 ysize 0.3536 lfigpmul CTR xsize 0 0.3536 lfigpmul lfigpadd lfigpsub /SE lfigpointdef
+ xsize 0 0.3536 lfigpmul CTR lfigpsub 0 ysize 0.3536 lfigpmul lfigpadd /NW lfigpointdef
+ 0 ysize 0.3536 lfigpmul xsize 0 0.3536 lfigpmul CTR lfigpsub lfigpsub /SW lfigpointdef
+ [ xsize ysize 0.5 lfigpmul /lfigellipsecircum cvx ] lfigcircumdef
+ S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
+} def
+
+% shape and labels of the @Circle symbol
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+{
+ xsize ysize 0.5 lfigpmul /CTR lfigpointdef
+ CTR xsize 0 ysize 0 lfigpmax 0.5 lfigpmul lfigpadd /E lfigpointdef
+ CTR 0 0 CTR E lfigdistance 45 lfigatangle lfigpadd /NE lfigpointdef
+ CTR 0 0 CTR E lfigdistance 90 lfigatangle lfigpadd /N lfigpointdef
+ CTR 0 0 CTR E lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef
+ CTR 0 0 CTR E lfigdistance 180 lfigatangle lfigpadd /W lfigpointdef
+ CTR 0 0 CTR E lfigdistance 225 lfigatangle lfigpadd /SW lfigpointdef
+ CTR 0 0 CTR E lfigdistance 270 lfigatangle lfigpadd /S lfigpointdef
+ CTR 0 0 CTR E lfigdistance 315 lfigatangle lfigpadd /SE lfigpointdef
+ [ S E lfigpsub /lfigellipsecircum cvx ] lfigcircumdef
+ S [ CTR ] E [ CTR ] N [ CTR ] W [ CTR ] S
+} def
+
+% shape and labels of the @HLine and @HArrow symbols
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+{
+ 0 ymark lfigprevious /FROM lfigpointdef
+ xsize ymark lfigprevious /TO lfigpointdef
+} def
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+% shape and labels of the @VLine and @VArrow symbols
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+{
+ xmark ysize lfigprevious /FROM lfigpointdef
+ xmark 0 lfigprevious /TO lfigpointdef
+} def
+
+% points of a polygon around base with given no of sides, vert init angle:
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+/lfigpolygon
+{ xsize ysize 0.5 lfigpmul /CTR lfigpointdef
+ 90 sub CTR 2 copy lfigmax 5 3 roll
+ [ 4 copy pop /lfigpolycircum cvx ] lfigcircumdef
+ exch dup 360 exch div exch
+ 1 1 3 2 roll
+ { 4 string cvs (P) exch lfigconcat cvn
+ 6 copy pop pop lfigatangle 2 copy 10 2 roll
+ 3 2 roll lfigpointdef
+ dup 3 1 roll add exch
+ } for
+ pop lfigatangle
+} def
+
+% next array element: <array> <index> lfiggetnext <array> <index> <any> true
+% or <array> <index> false
+/lfiggetnext
+{ 2 copy exch length ge
+ { false }
+ { 2 copy get exch 1 add exch true } ifelse
+} def
+
+% check whether thing is number: <any> lfigisnumbertype <any> <bool>
+/lfigisnumbertype
+{ dup type dup
+ /integertype eq exch /realtype eq or
+} def
+
+% check whether thing is an array: <any> lfigisarraytype <any> <bool>
+/lfigisarraytype { dup type /arraytype eq } def
+
+% get next item: <array> <index> lfiggetnextitem <array> <index> 0
+% or <array> <index> <array> 1
+% or <array> <index> <point> 2
+/lfiggetnextitem
+{ lfiggetnext
+ { lfigisarraytype
+ { 1
+ }
+ { lfigisnumbertype
+ { 3 1 roll
+ lfiggetnext
+ { lfigisnumbertype
+ { 4 3 roll exch 2
+ }
+ { pop 3 2 roll pop 0
+ } ifelse
+ }
+ { 3 2 roll pop 0
+ } ifelse
+ }
+ { pop 0
+ } ifelse
+ } ifelse
+ }
+ { 0
+ } ifelse
+} def
+
+% set arc path: bool x1 y1 x2 y2 x0 y0 lfigsetarc <angle> <angle> <dist>
+% the path goes from x1 y1 to x2 y2 about centre x0 y0,
+% anticlockwise if bool is true else clockwise.
+% The orientations of backwards pointing and forwards pointing
+% arrowheads are returned in the two angles, and
+% the length of the arc is returned in <dist>.
+/lfigsetarc
+{
+ 20 dict begin
+ matrix currentmatrix 8 1 roll
+ 2 copy translate 2 copy 8 2 roll
+ 4 2 roll lfigpsub 6 2 roll lfigpsub
+ dup /y1 exch def dup mul /y1s exch def
+ dup /x1 exch def dup mul /x1s exch def
+ dup /y2 exch def dup mul /y2s exch def
+ dup /x2 exch def dup mul /x2s exch def
+
+ y1s y2s eq
+ { -1
+ }
+ { y1s x2s mul y2s x1s mul sub y1s y2s sub div
+ } ifelse
+ /da exch def
+
+ x1s x2s eq
+ { -1
+ }
+ { x1s y2s mul x2s y1s mul sub x1s x2s sub div
+ } ifelse
+ /db exch def
+
+ da 0 gt db 0 gt and
+ { /LMax da sqrt db sqrt lfigmax def
+ /scalex da sqrt LMax div def
+ /scaley db sqrt LMax div def
+ scalex scaley scale
+ 0 0 LMax
+ 0 0 x1 scalex mul y1 scaley mul lfigangle
+ 0 0 x2 scalex mul y2 scaley mul lfigangle
+ 2 copy eq { 360 add } if
+ 2 copy 8 2 roll
+ 5 index { arc } { arcn } ifelse
+ 2 index 1 index
+ { 90 sub } { 90 add } ifelse
+ dup sin scaley mul exch cos scalex mul atan
+ 2 index 2 index
+ { 90 add } { 90 sub } ifelse
+ dup sin scaley mul exch cos scalex mul atan
+ 5 2 roll % res1 res2 ang1 ang2 anticlockwise
+ { exch sub } { sub } ifelse
+ dup 0 le { 360 add } if lfigpi mul LMax mul 180 div
+ }
+ { 0 0 x1 y1 lfigdistance 0 0 x2 y2 lfigdistance eq
+ 0 0 x1 y1 lfigdistance 0 gt and
+ { 0 0
+ 0 0 x1 y1 lfigdistance
+ 0 0 x1 y1 lfigangle
+ 0 0 x2 y2 lfigangle
+ 2 copy eq { 360 add } if
+ 2 copy 8 2 roll
+ 5 index { arc } { arcn } ifelse
+ 2 index 1 index
+ { 90 sub } { 90 add } ifelse
+ 2 index 2 index
+ { 90 add } { 90 sub } ifelse
+ 5 2 roll % res1 res2 ang1 ang2 clockwise
+ { exch sub } { sub } ifelse
+ dup 0 le { 360 add } if lfigpi mul 0 0 x1 y1 lfigdistance mul 180 div
+ }
+ { x2 y2 lineto pop
+ x2 y2 x1 y1 lfigangle
+ x1 y1 x2 y2 lfigangle
+ x1 y1 x2 y2 lfigdistance
+ } ifelse
+ } ifelse
+ 4 -1 roll setmatrix
+ end
+} def
+
+% lfigsetcurve: set up a Bezier curve from x0 y0 to x3 y3
+% and return arrowhead angles and length of curve (actually 0)
+% x0 y0 x1 y1 x2 y2 x3 y3 lfigsetcurve <angle> <angle> <length>
+/lfigsetcurve
+{ 8 copy curveto pop pop
+ lfigangle
+ 5 1 roll
+ 4 2 roll lfigangle
+ exch
+ 0
+} def
+
+% lfigpaintpath: paint a path of the given shape
+% /paint [ shape ] lfigpaintpath -
+/lfigpaintpath
+{
+ 10 dict begin
+ 0 newpath
+ /prevseen false def
+ /curveseen false def
+ { lfiggetnextitem
+ dup 0 eq { pop exit }
+ { 1 eq
+ { /curveseen true def
+ /curve exch def
+ curve length 0 eq { /curveseen false def } if
+ }
+ { /ycurr exch def
+ /xcurr exch def
+ prevseen
+ { curveseen
+ { curve length 4 eq
+ { xprev yprev
+ curve 0 get curve 1 get
+ curve 2 get curve 3 get
+ xcurr ycurr
+ lfigsetcurve pop pop pop
+ }
+ { xprev yprev xcurr ycurr
+ curve length 1 ge { curve 0 get } { 0 } ifelse
+ curve length 2 ge { curve 1 get } { 0 } ifelse
+ curve length 3 ge { curve 2 get } { true } ifelse
+ 7 1 roll
+ lfigsetarc pop pop pop
+ } ifelse
+ }
+ { xcurr ycurr lineto
+ } ifelse
+ }
+ { xcurr ycurr moveto
+ } ifelse
+ /xprev xcurr def
+ /yprev ycurr def
+ /prevseen true def
+ /curveseen false def
+ } ifelse
+ } ifelse
+ } loop pop pop cvx exec
+ end
+} def
+
+% stroke a path of the given shape in the given linestyle and dash length.
+% Return the origin and angle of the backward and forward arrow heads.
+% dashlength /linestyle [shape] lfigdopath [<point> <angle>] [<point> <angle>]
+/lfigdopath
+{
+ 10 dict begin
+ 0
+ /prevseen false def
+ /curveseen false def
+ /backarrow [] def
+ /fwdarrow [] def
+ {
+ lfiggetnextitem
+ dup 0 eq { pop exit }
+ {
+ 1 eq
+ { /curveseen true def
+ /curve exch def
+ curve length 0 eq { /prevseen false def } if
+ }
+ { /ycurr exch def
+ /xcurr exch def
+ prevseen
+ { newpath xprev yprev moveto
+ curveseen
+ { curve length 4 eq
+ { xprev yprev
+ curve 0 get curve 1 get
+ curve 2 get curve 3 get
+ xcurr ycurr lfigsetcurve
+ }
+ { xprev yprev xcurr ycurr
+ curve length 1 ge { curve 0 get } { 0 } ifelse
+ curve length 2 ge { curve 1 get } { 0 } ifelse
+ curve length 3 ge { curve 2 get } { true } ifelse
+ 7 1 roll
+ lfigsetarc
+ } ifelse
+ }
+ { xcurr ycurr lineto
+ xcurr ycurr xprev yprev lfigangle dup 180 sub
+ xprev yprev xcurr ycurr lfigdistance
+ } ifelse
+ 6 index 6 index cvx exec
+ [ xprev yprev 5 -1 roll ]
+ backarrow length 0 eq
+ { /backarrow exch def }
+ { pop } ifelse
+ [ xcurr ycurr 4 -1 roll ] /fwdarrow exch def
+ } if
+ /xprev xcurr def
+ /yprev ycurr def
+ /prevseen true def
+ /curveseen false def
+ } ifelse
+ } ifelse
+ } loop
+ pop pop pop pop
+ backarrow length 0 eq { [ 0 0 0 ] } { backarrow } ifelse
+ fwdarrow length 0 eq { [ 0 0 0 ] } { fwdarrow } ifelse
+ end
+} def
+
+% lfigdoarrow: draw an arrow head of given form
+% dashlength /lstyle /pstyle hfrac height width [ <point> <angle> ] lfigdoarrow -
+/lfigdoarrow
+{ matrix currentmatrix 8 1 roll
+ dup 0 get 1 index 1 get translate
+ 2 get rotate
+ [ 2 index neg 2 index 0 0
+ 3 index 3 index neg
+ 1 index 10 index mul 0
+ 7 index 7 index ]
+ 4 1 roll pop pop pop
+ dup 3 1 roll
+ gsave lfigpaintpath grestore lfigdopath pop pop
+ setmatrix
+} def
+
+% arrow head styles
+/lfigopen 0.0 def
+/lfighalfopen 0.5 def
+/lfigclosed 1.0 def
+
+% stroke no arrows, forward, back, and both
+/lfignoarrow { pop pop pop pop pop pop pop pop } def
+/lfigforward { 7 -1 roll lfigdoarrow pop } def
+/lfigback { 8 -2 roll pop lfigdoarrow } def
+/lfigboth { 8 -1 roll 7 copy lfigdoarrow pop 7 -1 roll lfigdoarrow } def
+
+% lfigprevious: return previous point on path
+/lfigprevious
+{ lfigisnumbertype
+ { 2 copy }
+ { lfigisarraytype
+ { 2 index 2 index }
+ { 0 0 }
+ ifelse
+ } ifelse
+} def
+
+% label a point in 2nd top dictionary: <point> /name lfigpointdef -
+/lfigpointdef
+{
+ % (Entering lfigpointdef) lfigdebugprint
+ [ 4 2 roll transform
+ /itransform cvx ] cvx
+ currentdict end
+ 3 1 roll
+ % currentdict length currentdict maxlength lt
+ % { def }
+ % { exec moveto (too many labels) show stop }
+ % ifelse
+ def
+ begin
+ % (Leaving lfigpointdef) lfigdebugprint
+} def
+
+% promote labels from second top to third top dictionary
+% <string> lfigpromotelabels -
+/lfigpromotelabels
+{
+ % (Entering lfigpromotelabels) lfigdebugprint
+ currentdict end exch currentdict end
+ { exch 20 string cvs 2 index
+ (@) lfigconcat exch lfigconcat cvn exch def
+ } forall pop begin
+ % (Leaving lfigpromotelabels) lfigdebugprint
+} def
+
+% show labels (except CIRCUM): - lfigshowlabels -
+/lfigshowlabels
+{
+ % (Entering lfigshowlabels) lfigdebugprint
+ currentdict end
+ currentdict
+ { 1 index 20 string cvs (CIRCUM) search % if CIRCUM in key
+ { pop pop pop pop pop }
+ { pop cvx exec 2 copy
+ newpath 1.5 pt 0 360 arc
+ 0 setgray fill
+ /Times-Roman findfont 8 pt scalefont setfont
+ moveto 0.2 cm 0.1 cm rmoveto 20 string cvs show
+ }
+ ifelse
+ } forall
+ begin
+ % (Leaving lfigshowlabels) lfigdebugprint
+} def
+
+% fix an angle to 0 <= res < 360: <angle> lfigfixangle <angle>
+/lfigfixangle
+{
+ % (Entering lfigfixangle) lfigdebugprint
+ { dup 0 ge { exit } if
+ 360 add
+ } loop
+ { dup 360 lt { exit } if
+ 360 sub
+ } loop
+ % (Leaving lfigfixangle) lfigdebugprint
+} def
+
+% find point on circumference of box: alpha a b lfigboxcircum x y
+/lfigboxcircum
+{
+ % (Entering lfigboxcircum) lfigdebugprint
+ 4 dict begin
+ /b exch def
+ /a exch def
+ lfigfixangle /alpha exch def
+ 0 0 a b lfigangle /theta exch def
+
+ % if alpha <= theta, return (a, a*tan(alpha))
+ alpha theta le
+ { a a alpha sin mul alpha cos div }
+ {
+ % else if alpha <= 180 - theta, return (b*cot(alpha), b)
+ alpha 180 theta sub le
+ { b alpha cos mul alpha sin div b }
+ {
+ % else if alpha <= 180 + theta, return (-a, -a*tan(alpha))
+ alpha 180 theta add le
+ { a neg a neg alpha sin mul alpha cos div }
+ {
+ % else if alpha <= 360 - theta, return (-b*cot(alpha), -b)
+ alpha 360 theta sub le
+ { b neg alpha cos mul alpha sin div b neg }
+ {
+ % else 360 - theta <= alpha, return (a, a*tan(alpha))
+ a a alpha sin mul alpha cos div
+ } ifelse
+ } ifelse
+ } ifelse
+ } ifelse
+ end
+ % (Leaving lfigboxcircum) lfigdebugprint
+} def
+
+% find quadratic roots (assume a != 0): a b c lfigqroots x1 x2 2
+% or x2 1
+% or 0
+/lfigqroots
+{
+ 4 dict begin
+ /c exch def
+ /b exch def
+ /a exch def
+ /disc b b mul 4 a c mul mul sub def
+ disc 0 lt
+ { 0
+ }
+ { disc 0 eq
+ { b neg 2 a mul div
+ 1
+ }
+ { b neg disc sqrt add 2 a mul div
+ b neg disc sqrt sub 2 a mul div
+ 2
+ }
+ ifelse
+ }
+ ifelse
+ end
+} def
+
+% work our which quadrant: <angle> lfigquadrant <0-3>
+/lfigquadrant
+{ dup 90 lt
+ { pop 0
+ }
+ { dup 180 lt
+ { pop 1
+ }
+ { 270 lt
+ { 2
+ }
+ { 3
+ } ifelse
+ } ifelse
+ } ifelse
+} def
+
+% find curvebox circum, assuming upper right quadrant: alpha a b xmk lfigcb x y
+/lfigcb
+{
+ 6 dict begin
+ /xmk exch def
+ /b exch def
+ /a exch def
+ /alpha exch def
+ /theta1 0 0 a b xmk sub lfigangle def
+ /theta2 0 0 a xmk sub b lfigangle def
+ alpha theta1 le
+ { % if alpha <= theta1, return (a, a*tan(alpha))
+ a a alpha sin mul alpha cos div
+ }
+ { alpha theta2 ge
+ { % else if alpha > theta2, return (b*cot(alpha), b)
+ b alpha cos mul alpha sin div b
+ }
+ {
+ % else, return the intersection of line and circle
+ a xmk sub b xmk sub xmk 0 0 alpha lfigcircleintersect
+ dup 0 eq
+ { % should never happen, just return any reasonable point
+ pop
+ a b 0.5 lfigpmul
+ }
+ { 1 eq
+ { % should never happen, just return the point on top of stack
+ }
+ { % the usual case, two points on stack, return the larger
+ lfigpmax
+ } ifelse
+ } ifelse
+ } ifelse
+ } ifelse
+ end
+} def
+
+% find point on circumference of curvebox: alpha a b xmk lfigcurveboxcircum x y
+/lfigcurveboxcircum
+{
+ % (Entering lfigcurveboxcircum) lfigdebugprint
+ 5 dict begin
+ /xmk exch def
+ /b exch def
+ /a exch def
+ lfigfixangle /alpha exch def
+
+ % work out which quadrant we are in, and reflect accordingly
+ /quad alpha lfigquadrant def
+ quad 0 eq
+ { alpha a b xmk lfigcb
+ }
+ { quad 1 eq
+ { 180 alpha sub a b xmk lfigcb exch neg exch
+ }
+ { quad 2 eq
+ { alpha 180 sub a b xmk lfigcb neg exch neg exch
+ }
+ { 360 alpha sub a b xmk lfigcb neg
+ } ifelse
+ } ifelse
+ } ifelse
+ end
+ % (Leaving lfigcurveboxcircum) lfigdebugprint
+} def
+
+% find point on circumference of diamond: alpha a b lfigdiamondcircum x y
+/lfigdiamondcircum
+{
+ % (Entering lfigdiamondcircum) lfigdebugprint
+ 4 dict begin
+ /b exch def
+ /a exch def
+ lfigfixangle /alpha exch def
+ b alpha cos abs mul a alpha sin abs mul add /denom exch def
+ a b mul alpha cos mul denom div
+ a b mul alpha sin mul denom div
+ end
+ % (Leaving lfigdiamondcircum) lfigdebugprint
+} def
+
+% find point on circumference of ellipse: alpha a b lfigellipsecircum x y
+/lfigellipsecircum
+{
+ % (Entering lfigellipsecircum) lfigdebugprint
+ 4 dict begin
+ /b exch def
+ /a exch def
+ lfigfixangle /alpha exch def
+ b alpha cos mul dup mul a alpha sin mul dup mul add sqrt /denom exch def
+ a b mul alpha cos mul denom div
+ a b mul alpha sin mul denom div
+ end
+ % (Leaving lfigellipsecircum) lfigdebugprint
+} def
+
+% find point of intersection of two lines each defined by two points
+% x1 y1 x2 y2 x3 y3 x4 y4 lfiglineintersect x y
+/lfiglineintersect
+{
+ % (Entering lfiglineintersect) lfigdebugprint
+ 13 dict begin
+ /y4 exch def
+ /x4 exch def
+ /y3 exch def
+ /x3 exch def
+ /y2 exch def
+ /x2 exch def
+ /y1 exch def
+ /x1 exch def
+ x2 x1 sub /x21 exch def
+ x4 x3 sub /x43 exch def
+ y2 y1 sub /y21 exch def
+ y4 y3 sub /y43 exch def
+ y21 x43 mul y43 x21 mul sub /det exch def
+
+ % calculate x
+ y21 x43 mul x1 mul
+ y43 x21 mul x3 mul sub
+ y3 y1 sub x21 mul x43 mul add
+ det div
+
+ % calculate y
+ x21 y43 mul y1 mul
+ x43 y21 mul y3 mul sub
+ x3 x1 sub y21 mul y43 mul add
+ det neg div
+
+ end
+ % (Leaving lfiglineintersect) lfigdebugprint
+} def
+
+% find point on circumference of polygon
+% alpha radius num theta lfigpolycircum x y
+/lfigpolycircum
+{
+ % (Entering lfigpolycircum) lfigdebugprint
+ 13 dict begin
+ /theta exch def
+ /num exch def
+ /radius exch def
+ /alpha exch def
+
+ % calculate delta, the angle from theta to alpha
+ alpha theta sub lfigfixangle
+
+ % calculate the angle which is the multiple of 360/num closest to delta
+ 360 num div div truncate 360 num div mul theta add /anglea exch def
+
+ % calculate the next multiple of 360/num after anglea
+ anglea 360 num div add /angleb exch def
+
+ % intersect the line through these two points with the alpha line
+ anglea cos anglea sin angleb cos angleb sin
+ 0 0 alpha cos 2 mul alpha sin 2 mul
+ lfiglineintersect radius lfigpmul
+
+ end
+ % (Leaving lfigpolycircum) lfigdebugprint
+} def
+
+% find point of intersection of a point and a circle
+% x0 y0 r x1 y1 theta lfigcircleintersect xa ya xb yb 2
+% or xb yb 1
+% or 0
+/lfigcircleintersect
+{
+ % (Entering lfigcircleintersect) lfigdebugprint
+ 15 dict begin
+ /theta exch def
+ /y1 exch def
+ /x1 exch def
+ /r exch def
+ /y0 exch def
+ /x0 exch def
+
+ % if sin(theta) = 0 then line is horizontal and y must be y1
+ theta sin abs 0.00001 lt
+ {
+ /a 1 def
+ /b -2 x0 mul def
+ /c x0 dup mul y1 y0 sub dup mul add r dup mul sub def
+ a b c lfigqroots dup
+ 0 eq
+ { pop
+ 0
+ }
+ { 1 eq
+ { y1 1
+ }
+ { y1 exch y1 2
+ } ifelse
+ } ifelse
+ }
+ {
+ /ct theta cos theta sin div def
+ /a ct ct mul 1 add def
+ /b ct x1 x0 sub mul y1 add y0 sub 2 mul def
+ /c x1 x0 sub dup mul y1 y0 sub dup mul add r dup mul sub def
+ a b c lfigqroots dup
+ 0 eq
+ { pop
+ 0
+ }
+ { 1 eq
+ { y1 add /yb exch def
+ yb y1 sub ct mul x1 add /xb exch def
+ xb yb 1
+ }
+ { y1 add /ya exch def
+ ya y1 sub ct mul x1 add /xa exch def
+ y1 add /yb exch def
+ yb y1 sub ct mul x1 add /xb exch def
+ xa ya xb yb 2
+ } ifelse
+ } ifelse
+ } ifelse
+ end
+ % (Leaving lfigcircleintersect) lfigdebugprint
+} def
+
+% add CIRCUM operator with this body: <array> lfigcircumdef -
+/lfigcircumdef
+{ % (Entering lfigcircumdef) lfigdebugprint
+ /CIRCUM exch cvx
+ currentdict end
+ 3 1 roll
+ % currentdict length currentdict maxlength lt
+ % { def }
+ % { exec moveto (too many labels) show stop }
+ % ifelse
+ def
+ begin
+ % (Leaving lfigcircumdef) lfigdebugprint
+} def
+
+end
+%%EndResource
+
+%%BeginResource: procset LoutBasicSetup
+% @PrependGraphic file /export/home/6monthspace/jeff/lout.lib/include/bsf.lpg
+
+% width height linethickness louteuro -
+% draw a Euro symbol of this width and height with this line thickness
+/louteuro {
+ 20 dict begin
+ /eurothick exch def
+ /euroheight exch def
+ /eurowidth exch def
+ /eurostrokewidth euroheight 0.8 mul def
+ /eurostep eurothick 60 cos mul 60 sin div def
+ /eurotheta 40 def
+
+ % llx lly width thickness louteurobox -
+ % draw angled box starting at (llx, lly) with given width and thickness
+ /louteurobox
+ {
+ /euroboxthick exch def
+ /euroboxwidth exch def
+ newpath moveto euroboxwidth 0 rlineto
+ eurostep euroboxthick rlineto
+ euroboxwidth neg 0 rlineto closepath fill
+ } def
+
+ % lower cross stroke
+ 0 euroheight 2 div eurothick 1.5 mul sub
+ eurostrokewidth eurothick louteurobox
+
+ % upper cross stroke
+ 0 euroheight 2 div eurothick 0.5 mul add
+ eurostrokewidth eurostep 2 mul add eurothick louteurobox
+
+ % circular part
+ /eurohctr eurowidth euroheight 2 div eurotheta cos mul sub def
+ /eurovctr euroheight 2 div def
+ newpath
+ eurohctr eurovctr eurovctr eurotheta 350 eurotheta sub arc
+ eurohctr eurovctr eurovctr eurothick sub 365 eurotheta sub eurotheta arcn
+ closepath fill
+ end
+} def
+
+% path for @FullWidthRule symbol
+/LoutRule
+{ 0 0 moveto xsize 0 lineto
+} def
+
+% path for @Box symbol
+/LoutBox
+{ 0 0 moveto xsize 0 lineto
+ xsize ysize lineto 0 ysize lineto
+ closepath
+} def
+
+% path for @CurveBox symbol
+/LoutCurveBox
+{ xmark 0 moveto
+ xsize xmark sub xmark xmark 270 360 arc
+ xsize xmark sub ysize xmark sub xmark 0 90 arc
+ xmark ysize xmark sub xmark 90 180 arc
+ xmark xmark xmark 180 270 arc
+ closepath
+} def
+
+% path for @ShadowBox symbol
+/LoutShadowBox
+{ xmark 2 mul 0 moveto xsize 0 lineto
+ xsize ysize xmark 2 mul sub lineto
+ xsize xmark sub ysize xmark 2 mul sub lineto
+ xsize xmark sub xmark lineto
+ xmark 2 mul xmark lineto
+ closepath
+} def
+
+% set up dictionary containing margin note data: parity LoutMargSet -
+/LoutMargSet
+{ /LoutMargDict 12 dict def
+ LoutMargDict begin
+ /parity exch def
+ /matr matrix currentmatrix def
+ /rightx xsize def
+ /lefty ysize def % highest allowable point for top of next left note
+ /righty ysize def % highest allowable point for top of next right note
+ /max { 2 copy gt { pop } { exch pop } ifelse } def
+ /min { 2 copy lt { pop } { exch pop } ifelse } def
+ end
+} def
+
+%translate coordinate system for marginal notes: type LoutMargShift -
+% where type 0 is left margin, 1 is right margin, 2 is outer, 3 is inner
+/LoutMargShift
+{ LoutMargDict begin
+
+ % y coordinate of top of note, in margin coords, before vertical adjust
+ 0 ysize transform matr itransform exch pop
+
+ % decide whether left or right margin based on type and parity
+ exch [ 0 1 parity 1 parity sub ] exch get 0 eq
+ {
+ % left margin: adjust top of note downwards if overlaps previous note
+ lefty min
+
+ % bottom of note is new lefty position and also translate position
+ ysize sub dup /lefty exch def
+
+ % want right edge of note at coordinate zero
+ xsize neg exch
+ }
+ {
+ % right margin: adjust top of note downwards if overlaps previous note
+ righty min
+
+ % bottom of note is new righty position and also translate position
+ ysize sub dup /righty exch def
+
+ % want left edge of note at coordinate rightx
+ rightx exch
+ } ifelse
+
+ % stack now contains coord of bottom left corner in margin coordinates
+ matr setmatrix translate
+ end
+} def
+
+% create LoutPageDict with left, right, foot, top for @Place symbol users
+/LoutPageSet
+{
+ /LoutPageDict 5 dict def
+ LoutPageDict begin
+ /matr matrix currentmatrix def
+ /left 0 def
+ /right xsize def
+ /foot 0 def
+ /top ysize def
+ end
+
+} def
+
+%%EndResource
+
+%%EndProlog
+
+%%BeginSetup
+%%IncludeResource: font Times-Roman
+/Times-Romanfnt82 vec2 /Times-Roman LoutRecode
+/fnt82 { /Times-Romanfnt82 LoutFont } def
+%%IncludeResource: font Helvetica
+/Helveticafnt35 vec2 /Helvetica LoutRecode
+/fnt35 { /Helveticafnt35 LoutFont } def
+%%IncludeResource: font Symbol
+/fnt78 { /Symbol LoutFont } def
+%%IncludeResource: font Helvetica-Oblique
+/Helvetica-Obliquefnt36 vec2 /Helvetica-Oblique LoutRecode
+/fnt36 { /Helvetica-Obliquefnt36 LoutFont } def
+%%EndSetup
+
+%%Page: i 1
+%%BeginPageSetup
+%%PageResources: font Times-Roman
+%%+ font Helvetica
+%%+ font Symbol
+%%+ font Helvetica-Oblique
+/pgsave save def
+0.0500 dup scale 10 setlinewidth
+%%EndPageSetup
+
+gsave
+0 0 translate
+240 fnt82 0.0 0.0 0.0 setrgbcolor 11900 16840 0 16840 240 288 60 LoutGraphic
+gsave
+LoutPageSet
+grestore
+gsave
+0 16840 translate
+0.0000 rotate
+9066 14006 0 14006 240 288 60 1417 -15423 LoutGr2
+1 LoutMargSet
+grestore
+600 fnt35 1355 12125(An)m 2215(Exper)s -24(t')k 30(s)k
+4518(Guide)s 6258(to)s 6902(the)s 3956 10685(Lout)m 616 9245(Document)m
+3500(F)s 18(or)k -15(matting)k 6490(System)s 240 fnt35
+3544 6059(Jeffre)m 4(y)k 4321(H.)s 4606(Kingston)s 3883 4395(V)m 19(ersion)k
+4726(3.20)s 3974 4107(Apr)m -3(il,)k 4567(2000)s 240 fnt78
+0 342(\343)m 240 fnt36 315 340(Cop)m 7(yr)k -3(ight)k
+1493(1991,)s 2214(2000,)s 2935(Jeffre)s 4(y)k 3811(H.)s
+4173(Kingston,)s 5293(Basser)s 6203(Depar)s -9(tment)k 7619(of)s
+7990(Computer)s 0 52(Science)m 3(,)k 966(The)s 1449(Univ)s 6(ersity)k
+2583(of)s 2881(Sydne)s 4(y)k 3766(2006,)s 4415(A)s 7(ustr)k 2(alia.)k
+
+grestore
+
+grestore
+
+grestore
+
+pgsave restore
+showpage
+
+%%Page: ii 2
+%%BeginPageSetup
+%%PageResources: font Times-Roman
+%%+ font Times-Bold
+/pgsave save def
+%%IncludeResource: font Times-Bold
+/Times-Boldfnt84 vec2 /Times-Bold LoutRecode
+/fnt84 { /Times-Boldfnt84 LoutFont } def
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