%!PS-Adobe-3.0 %%Creator: Basser Lout Version 3.28 (December 2002) %%CreationDate: Fri Dec 20 10:16:39 2002 %%DocumentData: Binary %%DocumentNeededResources: (atend) %%DocumentSuppliedResources: (atend) %%DocumentMedia: A4 595 842 0 white () %%PageOrder: Ascend %%LanguageLevel: 2 %%Pages: (atend) %%BoundingBox: 0 0 595 842 %%EndComments %%BeginProlog %%BeginResource: procset LoutStartUp /save_cp { currentpoint /cp_y exch def /cp_x exch def } def /restore_cp { cp_x cp_y moveto } def /outline { gsave 1 1 1 setrgbcolor dup show save_cp grestore true charpath stroke restore_cp } bind def /m { 3 1 roll moveto show } bind def /mo { 3 1 roll moveto outline } bind def /s { exch currentpoint exch pop moveto show } bind def /so { exch currentpoint exch pop moveto outline } bind def /k { exch neg 0 rmoveto show } bind def /ko { exch neg 0 rmoveto outline } bind def /r { exch 0 rmoveto show } bind def /ro { exch 0 rmoveto outline } bind def /c { gsave 3 1 roll rmoveto show grestore } bind def /co { gsave 3 1 roll rmoveto outline grestore } bind def /ul { gsave setlinewidth dup 3 1 roll moveto lineto stroke grestore } bind def /in { 1440 mul } def /cm { 567 mul } def /pt { 20 mul } def /em { 120 mul } def /sp { louts mul } def /vs { loutv mul } def /ft { loutf mul } def /dg { } def /LoutGraphic { /louts exch def /loutv exch def /loutf exch def /ymark exch def /xmark exch def /ysize exch def /xsize exch def } def /LoutGr2 { gsave translate LoutGraphic gsave } def /LoutFont { findfont exch scalefont setfont } bind def /LoutRecode { { findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding exch def currentdict end definefont pop } stopped pop } bind def /LoutStartEPSF { % prepare for EPSF inclusion userdict begin /PreEPSF_state save def /dict_stack countdictstack def /ops_count count 1 sub def /showpage {} def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath /languagelevel where { pop languagelevel 1 ne { false setstrokeadjust false setoverprint } if } if } bind def /LoutEPSFCleanUp { % clean up after EPSF inclusion count ops_count sub { pop } repeat countdictstack dict_stack sub { end } repeat PreEPSF_state restore end % userdict } bind def % Find current texture (may be null) % - LoutCurrentP p /LoutCurrentP { currentcolorspace 0 get /Pattern eq { [ currentcolor ] dup length 1 sub get } { null } ifelse } def % Find current color and color space % - LoutCurrentCCS c cs /LoutCurrentCCS { LoutCurrentP dup null eq { pop [ currentcolor ] currentcolorspace } { dup /UnderlyingColor get exch /UnderlyingColorSpace get } ifelse } def % Install c, cs, and (a copy of) p into graphics state % c cs p LoutSetCCSP - /LoutSetCCSP { dup null eq { pop setcolorspace aload pop setcolor } { % copy pattern dictionary 12 dict copy % record cs and c in p dup /UnderlyingColorSpace 3 index put dup /UnderlyingColor 4 index put % do setcolorspace and setcolor dup /PaintType get 1 eq { [ /Pattern ] setcolorspace setcolor pop pop } { [ /Pattern 4 -1 roll ] setcolorspace exch aload length 1 add -1 roll setcolor } ifelse } ifelse } def % num LoutSetGray - /LoutSetGray { [ 2 1 roll ] [ /DeviceGray ] LoutCurrentP LoutSetCCSP } def % r g b LoutSetRGBColor - /LoutSetRGBColor { [ 4 1 roll ] [ /DeviceRGB ] LoutCurrentP LoutSetCCSP } def % h s b LoutSetHSBColor - /LoutSetHSBColor { gsave sethsbcolor currentrgbcolor grestore LoutSetRGBColor } def % c m y k LoutSetRGBColor - /LoutSetCMYKColor { [ 5 1 roll ] [ /DeviceCMYK ] LoutCurrentP LoutSetCCSP } def % p LoutSetTexture - /LoutSetTexture { LoutCurrentCCS 3 -1 roll LoutSetCCSP } def % % LoutMakeTexture p /LoutMakeTexture { 12 dict begin /PaintProc exch def /YStep exch def /XStep exch def /BBox exch def /PaintType exch def /PatternType 1 def /TilingType 1 def currentdict end 7 1 roll matrix translate 5 1 roll matrix rotate 4 1 roll matrix scale exch dup matrix scale matrix concatmatrix matrix concatmatrix matrix concatmatrix /makepattern where { pop makepattern } { pop pop null } ifelse } def /LoutTextureSolid { null LoutSetTexture } def %%EndResource %%BeginResource: procset LoutTabPrependGraphic % @PrependGraphic file /home/jeff/lout.lib/include/tabf.lpg %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % PostScript @SysPrependGraphic file for @Tab % % % % To assist in avoiding name clashes, the names % % of all these symbols begin with "ltab". % % % % Jeffrey H. Kingston % % 24 September 1991 % % 22 December 1992 % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % linewidth ltabhs - % horizontal single line /ltabhs { 0 0 moveto xsize 0 lineto setlinewidth 0 setlinecap stroke } def % linewidth ltabhsp - % horizontal single line with projecting ends /ltabhsp { 0 0 moveto xsize 0 lineto setlinewidth 2 setlinecap stroke } def % linewidth ltabhd - % horizontal double line /ltabhd { dup dup 0 0 moveto xsize 0 lineto 0 exch 3 mul moveto xsize exch 3 mul lineto setlinewidth 0 setlinecap stroke } def % linewidth ltabhdb - % horizontal double line below mark /ltabhdb { dup dup 0 0 moveto xsize 0 lineto 0 exch -3 mul moveto xsize exch -3 mul lineto setlinewidth 0 setlinecap stroke } def % linewidth ltabhdnw - % horizontal double line with northwest corner /ltabhdnw { dup dup dup dup 0 0 moveto xsize 0 lineto xsize exch 3 mul moveto -3 mul exch 3 mul lineto -3 mul 0 lineto setlinewidth 0 setlinejoin 2 setlinecap stroke } def % linewidth ltabhdne - % horizontal double line with northeast corner /ltabhdne { dup dup dup dup 0 0 moveto xsize 0 lineto 0 exch 3 mul moveto 3 mul xsize add exch 3 mul lineto 3 mul xsize add 0 lineto setlinewidth 0 setlinejoin 2 setlinecap stroke } def % linewidth ltabhdsw - % horizontal double line with southwest corner /ltabhdsw { dup dup dup dup 0 0 moveto xsize 0 lineto xsize exch -3 mul moveto -3 mul exch -3 mul lineto -3 mul 0 lineto setlinewidth 0 setlinejoin 2 setlinecap stroke } def % linewidth ltabhdse - % horizontal double line with southeast corner /ltabhdse { dup dup dup dup 0 0 moveto xsize 0 lineto 0 exch -3 mul moveto 3 mul xsize add exch -3 mul lineto 3 mul xsize add 0 lineto setlinewidth 0 setlinejoin 2 setlinecap stroke } def % linewidth ltabvs - % vertical single line /ltabvs { 0 0 moveto 0 ysize lineto setlinewidth 0 setlinecap stroke } def % linewidth ltabvd - % vertical double line /ltabvd { dup dup 0 0 moveto 0 ysize lineto -3 mul 0 moveto -3 mul ysize lineto setlinewidth 0 setlinecap stroke } def % linewidth ltabvdr - % vertical double line to right of mark /ltabvdr { dup dup 0 0 moveto 0 ysize lineto 3 mul 0 moveto 3 mul ysize lineto setlinewidth 0 setlinecap stroke } def %%EndResource %%BeginResource: procset LoutFigPrependGraphic % @PrependGraphic file /home/jeff/lout.lib/include/figf.lpg %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % % PostScript @SysPrependGraphic file for @Fig Jeffrey H. Kingston % % Version 2.0 (includes CIRCUM label) January 1992 % % % % Although Fig is now obsolete I have updated it 20 October 2002 % % to work with textures, i.e. replacing setrgbcolor with % % LoutSetRGBColor. % % % % To assist in avoiding name clashes, the names of all symbols % % defined here begin with "lfig". However, this is not feasible % % with user-defined labels and some labels used by users. % % % % is two numbers, a point. % % is one number, a length % % is one number, an angle in degrees % % is one number, the preferred length of a dash % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% errordict begin /handleerror { { /Times-Roman findfont 8 pt scalefont setfont 0 setgray 4 pt 4 pt moveto $error /errorname get dup lfigdict exch known { lfigdict exch get } { 30 string cvs } ifelse show ( Command: ) show $error /command get 30 string cvs show } stopped {} if showpage stop } def end % concat strings: lfigconcat % must be defined outside lfigdict since used in lfigpromotelabels /lfigconcat { 2 copy length exch length add string dup 0 4 index putinterval dup 3 index length 3 index putinterval 3 1 roll pop pop } def % lfigdebugprint - % must be defined outside lfigdict since used in arbitrary places % /lfigdebugprint % { print % (; operand stack:\n) print % count copy % count 2 idiv % { == % (\n) print % } repeat % (\n) print % } def /lfigdict 120 dict def lfigdict begin % error messages /dictfull (dictfull error: too many labels?) def /dictstackoverflow (dictstackoverflow error: labels nested too deeply?) def /execstackoverflow (execstackoverflow error: figure nested too deeply?) def /limitcheck (limitcheck error: figure nested too deeply or too large?) def /syntaxerror (syntaxerror error: syntax error in text of figure?) def /typecheck (typecheck error: syntax error in text of figure?) def /undefined (undefined error: unknown or misspelt label?) def /VMError (VMError error: run out of memory?) def % push pi onto stack: - lfigpi /lfigpi 3.14159 def % arc directions /clockwise false def /anticlockwise true def % maximum of two numbers: lfigmax /lfigmax { 2 copy gt { pop } { exch pop } ifelse } def % minimum of two numbers: lfigmin /lfigmin { 2 copy lt { pop } { exch pop } ifelse } def % add two points: lfigpadd /lfigpadd { exch 3 1 roll add 3 1 roll add exch } def % subtract first point from second: lfigpsub /lfigpsub { 3 2 roll sub 3 1 roll exch sub exch } def % max two points: lfigpmax /lfigpmax { exch 3 1 roll lfigmax 3 1 roll lfigmax exch } def % min two points: lfigpmin /lfigpmin { exch 3 1 roll lfigmin 3 1 roll lfigmin exch } def % scalar multiplication: lfigpmul /lfigpmul { dup 3 1 roll mul 3 1 roll mul exch } def % point at angle and distance: lfigatangle /lfigatangle { 2 copy cos mul 3 1 roll sin mul lfigpadd } def % angle from one point to another: lfigangle /lfigangle { lfigpsub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def % distance between two points: lfigdistance /lfigdistance { lfigpsub dup mul exch dup mul add sqrt } def % difference in x coords: lfigxdistance /lfigxdistance { pop 3 1 roll pop sub } def %difference in y coords: lfigydistance /lfigydistance { 3 1 roll pop sub exch pop } def % stroke a solid line: lfigsolid - /lfigsolid { pop pop [] 0 setdash stroke } def % stroke a lfigdashed line: lfigdashed - /lfigdashed { 2 copy div 2 le 1 index 0 le or { exch pop 1 pt lfigmax [ exch dup ] 0 setdash } { dup [ exch 4 2 roll 2 copy div 1 sub 2 div ceiling dup 4 1 roll 1 add mul sub exch div ] 0 setdash } ifelse stroke } def % stroke a lfigcdashed line: lfigcdashed - /lfigcdashed { 2 copy le 1 index 0 le or { exch pop 1 pt lfigmax [ exch dup ] dup 0 get 2 div setdash } { dup [ 4 2 roll exch 2 copy exch div 2 div ceiling div 1 index sub ] exch 2 div setdash } ifelse stroke } def % stroke a dotted line: lfigdotted - /lfigdotted { 2 copy le 1 index 0 le or { exch pop 1 pt lfigmax [ exch 0 exch ] 0 setdash } { 1 index exch div ceiling div [ 0 3 2 roll ] 0 setdash } ifelse stroke } def % stroke a noline line: lfignoline - /lfignoline { pop pop } def % painting (i.e. filling): - lfigwhite - (etc.) /lfignopaint { } def /lfignochange { fill } def /lfigdarkblue { 0.0 0.0 0.5 LoutSetRGBColor fill } def /lfigblue { 0.0 0.0 1.0 LoutSetRGBColor fill } def /lfiglightblue { 0.5 0.5 1.0 LoutSetRGBColor fill } def /lfigdarkgreen { 0.0 0.5 0.0 LoutSetRGBColor fill } def /lfiggreen { 0.0 1.0 0.0 LoutSetRGBColor fill } def /lfiglightgreen { 0.5 1.0 0.5 LoutSetRGBColor fill } def /lfigdarkred { 0.5 0.0 0.0 LoutSetRGBColor fill } def /lfigred { 1.0 0.0 0.0 LoutSetRGBColor fill } def /lfiglightred { 1.0 0.5 0.5 LoutSetRGBColor fill } def /lfigdarkcyan { 0.0 0.5 0.5 LoutSetRGBColor fill } def /lfigcyan { 0.0 1.0 1.0 LoutSetRGBColor fill } def /lfiglightcyan { 0.5 1.0 1.0 LoutSetRGBColor fill } def /lfigdarkmagenta { 0.5 0.0 0.5 LoutSetRGBColor fill } def /lfigmagenta { 1.0 0.0 1.0 LoutSetRGBColor fill } def /lfiglightmagenta { 1.0 0.5 1.0 LoutSetRGBColor fill } def /lfigdarkyellow { 0.5 0.5 0.0 LoutSetRGBColor fill } def /lfigyellow { 1.0 1.0 0.0 LoutSetRGBColor fill } def /lfiglightyellow { 1.0 1.0 0.5 LoutSetRGBColor fill } def /lfigdarkgray { 0.2 0.2 0.2 LoutSetRGBColor fill } def /lfiggray { 0.5 0.5 0.5 LoutSetRGBColor fill } def /lfiglightgray { 0.8 0.8 0.8 LoutSetRGBColor fill } def /lfigdarkgrey { 0.2 0.2 0.2 LoutSetRGBColor fill } def /lfiggrey { 0.5 0.5 0.5 LoutSetRGBColor fill } def /lfiglightgrey { 0.8 0.8 0.8 LoutSetRGBColor fill } def /lfigblack { 0.0 0.0 0.0 LoutSetRGBColor fill } def /lfigwhite { 1.0 1.0 1.0 LoutSetRGBColor fill } def % line caps (and joins, not currently used) /lfigbutt 0 def /lfiground 1 def /lfigprojecting 2 def /lfigmiter 0 def /lfigbevel 2 def % shape and labels of the @Box symbol /lfigbox { 0 0 /SW lfigpointdef xsize 0 /SE lfigpointdef xsize ysize /NE lfigpointdef 0 ysize /NW lfigpointdef SE 0.5 lfigpmul /S lfigpointdef NW 0.5 lfigpmul /W lfigpointdef 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 % shape and labels of the @CurveBox symbol /lfigcurvebox { xsize 0.5 mul ysize 0.5 mul /CTR lfigpointdef xsize 0.5 mul 0 /S lfigpointdef xsize ysize 0.5 mul /E lfigpointdef xsize 0.5 mul ysize /N lfigpointdef 0 ysize 0.5 mul /W lfigpointdef xmark 0.293 mul xmark 0.293 mul /SW lfigpointdef xsize xmark 0.293 mul sub xmark 0.293 mul /SE lfigpointdef xsize xmark 0.293 mul sub ysize xmark 0.293 mul sub /NE lfigpointdef xmark 0.293 mul ysize xmark 0.293 mul sub /NW lfigpointdef [ xsize ysize 0.5 lfigpmul xmark /lfigcurveboxcircum cvx ] lfigcircumdef xmark 0 xsize xmark sub 0 [ xsize xmark sub xmark ] xsize xmark xsize ysize xmark sub [ xsize xmark sub ysize xmark sub ] xsize xmark sub ysize xmark ysize [ xmark ysize xmark sub ] 0 ysize xmark sub 0 xmark [ xmark xmark ] xmark 0 } def % shadow of the @ShadowBox symbol % its shape and labels are done, somewhat inaccurately, with lfigbox /lfigshadow { 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 fill } def % shape and labels of the @Square symbol /lfigsquare { xsize ysize 0.5 lfigpmul /CTR lfigpointdef CTR xsize xsize ysize ysize lfigpmax 0.5 lfigpmul lfigpadd /NE lfigpointdef CTR 0 0 CTR NE lfigdistance 135 lfigatangle lfigpadd /NW lfigpointdef 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 /lfigdiamond { xsize 0 0.5 lfigpmul /S lfigpointdef 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 % shape and labels of the @Ellipse symbol /lfigellipse { xsize 0 0.5 lfigpmul /S lfigpointdef 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 /lfigcircle { 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 /lfighline { 0 ymark lfigprevious /FROM lfigpointdef xsize ymark lfigprevious /TO lfigpointdef } def % shape and labels of the @VLine and @VArrow symbols /lfigvline { 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: % figpolygon ... /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: lfiggetnext true % or false /lfiggetnext { 2 copy exch length ge { false } { 2 copy get exch 1 add exch true } ifelse } def % check whether thing is number: lfigisnumbertype /lfigisnumbertype { dup type dup /integertype eq exch /realtype eq or } def % check whether thing is an array: lfigisarraytype /lfigisarraytype { dup type /arraytype eq } def % get next item: lfiggetnextitem 0 % or 1 % or 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 % 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 . /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 /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 [ ] [ ] /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 [ ] 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: /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 % 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: lfigfixangle /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: 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: 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 /home/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 %%BeginResource: encoding vec2 /vec2 [ /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /.notdef /quotesinglbase /quotedblbase /ellipsis /OE /oe /quotedblleft /quotedblright /fi /fl /endash /emdash /bullet /dagger /daggerdbl /florin /fraction /dotlessi /grave /acute /circumflex /tilde /macron /breve /dotaccent /dieresis /.notdef /ring /cedilla /.notdef /hungarumlaut /ogonek /caron /space /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] def %%EndResource /pdfmark where {pop} {userdict /pdfmark /cleartomark load put} ifelse %%EndSetup %%Page: i 1 %%BeginPageSetup %%PageResources: font Times-Roman %%+ font Times-Bold %%+ font Times-Italic /pgsave save def %%IncludeResource: font Times-Roman /Times-Romanfnt1 vec2 /Times-Roman LoutRecode /fnt1 { /Times-Romanfnt1 LoutFont } def %%IncludeResource: font Times-Bold /Times-Boldfnt2 vec2 /Times-Bold LoutRecode /fnt2 { /Times-Boldfnt2 LoutFont } def %%IncludeResource: font Times-Italic /Times-Italicfnt3 vec2 /Times-Italic LoutRecode /fnt3 { 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LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 128(a)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 128 128(c)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 732 846 0 790 240 288 12 788 0 LoutGr2 currentdict end 70 dict begin begin grestore 628 338 56 282 240 288 12 104 508 LoutGr2 currentdict end 70 dict begin begin grestore 524 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(R)m 7(O)k 9(W)k grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 128(a)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 105(b)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 1298 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 1520 1354 0 1298 240 288 12 1576 0 LoutGr2 currentdict end 70 dict begin begin grestore 1067 338 56 282 240 288 12 453 1016 LoutGr2 currentdict end 70 dict begin begin grestore 614 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(SPLIT)m grestore (T) lfigpromotelabels grestore 732 846 0 790 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 608 338 56 282 240 288 12 124 508 LoutGr2 currentdict end 70 dict begin begin grestore 484 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(COL)m grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 105(b)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 118 105(d)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 732 846 0 790 240 288 12 788 0 LoutGr2 currentdict end 70 dict begin begin grestore 628 338 56 282 240 288 12 104 508 LoutGr2 currentdict end 70 dict begin begin grestore 524 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(R)m 7(O)k 9(W)k grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 128(a)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 105(b)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 3096 1298 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 3096 1806 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 3096 1862 0 1806 240 288 12 3152 0 LoutGr2 currentdict end 70 dict begin begin grestore 1717 338 56 282 240 288 12 1379 1524 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt4 156 121(|)m grestore (T) lfigpromotelabels grestore 1520 1354 0 1298 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 1067 338 56 282 240 288 12 453 1016 LoutGr2 currentdict end 70 dict begin begin grestore 614 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(SPLIT)m grestore (T) lfigpromotelabels grestore 732 846 0 790 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 608 338 56 282 240 288 12 124 508 LoutGr2 currentdict end 70 dict begin begin grestore 484 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(COL)m grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 128(a)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 128 128(c)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 732 846 0 790 240 288 12 788 0 LoutGr2 currentdict end 70 dict begin begin grestore 628 338 56 282 240 288 12 104 508 LoutGr2 currentdict end 70 dict begin begin grestore 524 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(R)m 7(O)k 9(W)k grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 128 128(c)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 118 105(d)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 1298 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 1520 1354 0 1298 240 288 12 1576 0 LoutGr2 currentdict end 70 dict begin begin grestore 1067 338 56 282 240 288 12 453 1016 LoutGr2 currentdict end 70 dict begin begin grestore 614 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(SPLIT)m grestore (T) lfigpromotelabels grestore 732 846 0 790 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 608 338 56 282 240 288 12 124 508 LoutGr2 currentdict end 70 dict begin begin grestore 484 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(COL)m grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 123 105(b)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 118 105(d)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 732 846 0 790 240 288 12 788 0 LoutGr2 currentdict end 70 dict begin begin grestore 628 338 56 282 240 288 12 104 508 LoutGr2 currentdict end 70 dict begin begin grestore 524 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 192 fnt3 56 107(R)m 7(O)k 9(W)k grestore (T) lfigpromotelabels grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 128 128(c)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 338 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 338 338 56 282 240 288 12 394 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 currentdict end 70 dict begin begin grestore 338 338 56 282 240 288 12 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigcircle ] lfigdopath pop pop grestore 192 fnt3 118 105(d)m grestore (T) lfigpromotelabels grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 732 282 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 1520 790 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 3096 1298 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore (S) lfigpromotelabels grestore 0 0 0 0 240 288 12 6248 1806 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ S@T@CTR S@T@CTR T@CTR lfigangle S@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR S@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore end end restore grestore 0 10598(In)m 244(f)s 2(act,)k 693(common)s 1576(sube)s 3(xpressions)k 3060(are)s 3395(identi\207ed)s 4343($tri)s 6(vially$)k 5286(and)s 5678(the)s 6013(result)s 6591(is)s 6788(a)s 6942(directed)s 7756(ac)s 3(yclic)k 8469(graph;)s 0 10310(each)m 486(af)s 6(fected)k 1296(leaf)s 1716(has)s 2076(tw)s 2(o)k 2477(parents,)s 3264(one)s 3657(for)s 3985(width)s 4578(and)s 4972(one)s 5365(for)s 5693(height;)s 6394(and)s 6788(each)s 240 fnt3 7274 10312(COL)m 240 fnt1 7790 10310(or)m 240 fnt3 8040 10312(R)m 9(O)k 12(W)k 240 fnt1 8604 10310(node)m 0 10022(has)m 360(one)s 752(parent)s 1398(and)s 1792(one)s 2184(child)s 2709(for)s 3037(each)s 3521(object)s 4155(lying)s 4690(on)s 4976(the)s 5314(corresponding)s 6726(mark.)s 7370(The)s 7788(data)s 8235(structure)s 0 9734(roughly)m 799(doubles)s 1595(in)s 1838(size,)s 2316(and)s 2720(this)s 3116(occurs)s 3791(only)s 4271(rarely)s 4881(in)s 5124(practice.)s 480 9360(This)m 956(method)s 1732(can)s 2121(cope)s 2629(with)s 3111(an)s 3(y)k 3508(le)s 3(g)k 1(al)k 4023(input,)s 4622(including)s 220 fnt5 480 8859({ a // c | d } | { b / e })m 480 8571(/ { f / i } | { g | h // j })m 240 fnt1 0 8072(which)m 642(produces)s 1557(o)s 3(v)k 3(erlapping)k 2747(spanning)s 3665(columns:)s gsave 480 5924 translate 240 fnt3 1699 1808 0 1695 240 288 60 LoutGraphic gsave grestore save gsave 200 dict begin lfigdict begin grestore 1133 452 113 339 240 288 60 0 1356 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 230 fnt3 511 178(a)m grestore 566 452 113 339 240 288 60 1133 1356 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 230 fnt3 228 150(b)m grestore 566 452 113 339 240 288 60 0 904 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 230 fnt3 234 178(c)m grestore 566 452 113 339 240 288 60 566 904 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 230 fnt3 222 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pop pop grestore 170 220(footnote)m grestore (T) lfigpromotelabels grestore (L) lfigpromotelabels grestore 1206 553 170 272 240 288 60 1230 1443 LoutGr2 currentdict end 200 dict begin begin grestore 1206 553 170 272 240 288 60 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 170 220(body)m 692(te)s 4(xt)k grestore (T) lfigpromotelabels grestore 0 0 0 0 240 288 60 2436 1715 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ L@T@CTR L@T@CTR T@CTR lfigangle L@T@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef T@CTR T@CTR L@T@CTR lfigangle T@CIRCUM lfigpadd lfigprevious /TO lfigpointdef ] lfigdopath pop pop grestore grestore 1117 1273 0 993 240 288 60 2549 0 LoutGr2 currentdict end 200 dict begin begin grestore 1001 552 170 272 240 288 60 116 721 LoutGr2 currentdict end 200 dict begin begin grestore 884 552 170 272 240 288 60 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ 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5080($Section)s 5924(5.4$.)s 6459(The)s 6879(components)s 8079(of)s 8342(the)s 8681(root)s 0 8387(g)m 1(alle)k 3(y)k 646(are)s 1006(pages,)s 1671(e)s 3(xcept)k 2364(for)s 2715(the)s 3076(concluding)s 4205(une)s 3(xpanded)k 5431(in)s 9(v)k 4(ocation)k 6498(of)s 220 fnt5 6781 8384(@P)m 8(ageList)k 240 fnt1 7845 8387(,)m 7965(which)s 8620(is)s 8843(an)s 0 8099(ine)m 3(xhaustible)k 1328(source)s 2008(of)s 2279(more)s 2826(pages,)s 3478(e)s 3(xpanded)k 4451(on)s 4748(demand.)s 480 7725(The)m 923(concrete)s 1804(data)s 2277(structure)s 3184(used)s 3696(by)s 4006(Basser)s 4718(Lout)s 5246(permits)s 6028(the)s 6392(g)s 1(alle)k 3(y)k 7041(\210ushing)s 7882(algorithm)s 8887(to)s 0 7437(na)m 4(vig)k 1(ate)k 861(the)s 1209(dynamic)s 2086(tree)s 2499(and)s 2903(\207nd)s 3334(signi\207cant)s 4390(features)s 5196(quickly:)s gsave 480 78 translate 200 fnt1 8081 7019 226 7019 200 288 50 LoutGraphic gsave grestore save gsave 100 dict begin lfigdict begin grestore 980 7019 226 6704 200 288 50 0 0 LoutGr2 currentdict end 100 dict begin begin grestore 980 585 226 270 200 288 50 0 6434 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 226(HEAD)m grestore (A) lfigpromotelabels grestore 1927 588 226 273 200 288 50 1830 6431 LoutGr2 currentdict end 100 dict begin begin grestore 1631 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(RECEIVING)m 1306(*)s grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 6431 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 1830 5503 LoutGr2 currentdict end 100 dict begin begin grestore 1498 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(RECEPTIVE)m grestore (C) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 5503 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR C@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef C@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 0 0 0 200 288 50 1830 5163 LoutGr2 currentdict end 100 dict begin begin grestore 0 0 0 0 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfignoline [ lfigbox ] lfigdopath pop pop grestore grestore (D) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 5163 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR D@NW lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef D@NW lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 2494 0 2494 200 288 50 1830 2669 LoutGr2 0 0 moveto xsize 0 lineto xsize ysize lineto 0 ysize lineto closepath stroke grestore 160 fnt1 845 2216(-)m 931(1)s 1035(-)s 410 2000(A)m 563(small)s 1587 1611 0 1545 160 180 40 170 275 LoutGr2 currentdict end 100 dict begin begin grestore 572 132 0 66 160 180 40 0 1479 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfignoline [ lfigbox ] lfigdopath pop pop grestore 140 fnt5 0 30(@Galle)m 2(y )k grestore (E) lfigpromotelabels grestore 1587 105 0 39 160 180 40 170 170 LoutGr2 currentdict end 100 dict begin begin grestore 731 105 0 39 160 180 40 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfignoline [ lfigbox ] lfigdopath pop pop grestore 140 fnt5 0 3(@F)m 4(ootSect )k grestore (F) lfigpromotelabels grestore grestore 0 0 0 0 200 288 50 1830 2669 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ B@E B@E 0 B@E E@E lfigydistance lfigpadd E@E ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 0 0 0 0 200 288 50 1830 2669 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ C@E C@E 0 C@E F@E lfigydistance lfigpadd F@E ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 1830 1741 LoutGr2 currentdict end 100 dict begin begin grestore 839 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(GAP)m grestore (C) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 1741 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR C@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef C@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 1830 813 LoutGr2 currentdict end 100 dict begin begin grestore 1498 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(RECEPTIVE)m grestore (C) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 813 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR C@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef C@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 473 170 237 200 288 50 1830 0 LoutGr2 currentdict end 100 dict begin begin grestore 1927 473 170 237 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 140 fnt5 170 201(@P)m 5(ageList 2)k grestore (D) lfigpromotelabels grestore 0 0 0 0 200 288 50 1830 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR D@NW lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef D@NW lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 0 0 0 0 200 288 50 1830 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ C@E C@E 0 C@E D@W 1.8 cm 0 lfigpadd lfigydistance lfigpadd D@W 1.8 cm 0 lfigpadd ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 980 7019 226 6704 200 288 50 4324 0 LoutGr2 currentdict end 100 dict begin begin grestore 980 585 226 270 200 288 50 0 6434 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 226(HEAD)m grestore (A) lfigpromotelabels grestore 0 0 0 0 200 288 50 5304 6704 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ B@E lfigprevious /FROM lfigpointdef A@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 483 170 240 200 288 50 6154 6536 LoutGr2 currentdict end 100 dict begin begin grestore 1927 483 170 240 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 160 fnt1 170 204(paragraph)m grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 6536 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 6154 5608 LoutGr2 currentdict end 100 dict begin begin grestore 839 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(GAP)m grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 5608 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 450 170 207 200 288 50 6154 4818 LoutGr2 currentdict end 100 dict begin begin grestore 1927 450 170 207 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 160 fnt1 170 171(of)m 351(te)s 2(xt.)k grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 4818 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@NW lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@NW lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 6154 3890 LoutGr2 currentdict end 100 dict begin begin grestore 839 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(GAP)m grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 3890 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 588 226 273 200 288 50 6154 2962 LoutGr2 currentdict end 100 dict begin begin grestore 1498 588 226 273 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigellipse ] lfigdopath pop pop grestore 200 fnt3 226 229(RECEPTIVE)m grestore (B) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 2962 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR B@W lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef B@W lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 1927 471 170 235 200 288 50 6154 2151 LoutGr2 currentdict end 100 dict begin begin grestore 1927 471 170 235 200 288 50 0 0 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ lfigbox ] lfigdopath pop pop grestore 140 fnt5 170 199(@Input)m grestore (C) lfigpromotelabels grestore 0 0 0 0 200 288 50 6154 2151 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ A@CTR A@CTR C@NW lfigangle A@CIRCUM lfigpadd lfigprevious /FROM lfigpointdef C@NW lfigprevious /TO lfigpointdef ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore 0 0 0 0 200 288 50 6154 2151 LoutGr2 0.5 pt setlinewidth lfiground setlinecap 0.15 cm /lfigsolid [ B@E B@E 0 B@E C@W 1.2 cm 0 lfigpadd lfigydistance lfigpadd C@W 1.2 cm 0 lfigpadd ] lfigdopath 0.15 cm /lfigsolid /lfigblack lfigopen 0.15 cm 0.05 cm lfigforward grestore grestore end end restore grestore grestore 0 0 0 0 240 288 60 1417 -15423 LoutGr2 1 LoutMargSet grestore grestore grestore grestore pgsave restore showpage %%Page: 26 27 %%BeginPageSetup %%PageResources: font Times-Roman %%+ font Times-Italic %%+ font Helvetica /pgsave save def %%IncludeResource: font Times-Roman /Times-Romanfnt1 vec2 /Times-Roman LoutRecode /fnt1 { /Times-Romanfnt1 LoutFont } def %%IncludeResource: font Times-Italic /Times-Italicfnt3 vec2 /Times-Italic LoutRecode /fnt3 { /Times-Italicfnt3 LoutFont } def %%IncludeResource: font Helvetica /Helveticafnt5 vec2 /Helvetica LoutRecode /fnt5 { /Helveticafnt5 LoutFont } def 0.0500 dup scale 10 setlinewidth %%EndPageSetup gsave 0 0 translate 240 fnt1 0.0 0.0 0.0 LoutSetRGBColor LoutTextureSolid 11900 16840 0 16840 240 288 60 LoutGraphic gsave LoutPageSet grestore gsave 0 16840 translate 0.0000 rotate 5705 -1581(-)m 5833(26)s 6126(-)s 9066 13414 0 13414 240 288 60 1417 -15423 LoutGr2 0 LoutMargSet grestore 0 13251(Each)m 521(g)s 1(alle)k 3(y)k 1140(has)s 1495(a)s 240 fnt3 1647 13253(HEAD)m 240 fnt1 2325 13251(node)m 2832(whose)s 3485(children)s 4311(are)s 4643(its)s 4904(component)s 6013(objects,)s 6783(separated)s 7728(by)s 240 fnt3 8007 13253(GAP)m 240 fnt1 8516 13251(nodes)m 0 12963(recording)m 969(the)s 1317(inter)s 4(-component)k 2953(g)s 1(aps.)k 480 12589(Each)m 1026(component)s 2161(is)s 2383(preceded)s 3315(by)s 3621(zero)s 4096(or)s 4367(more)s 240 fnt3 4925 12591(galle)m 7(y)k 5569(inde)s 4(x)k 6155(nodes)s 240 fnt1 6780 12589(of)m 7063(v)s 6(arious)k 7823(types.)s 8504(Ev)s 3(ery)k 0 12301(recepti)m 6(v)k 3(e)k 922(symbol)s 1681(has)s 2051(a)s 240 fnt3 2216 12303(RECEPTIVE)m 240 fnt1 3529 12301(inde)m 3(x)k 4112(pointing)s 4963(to)s 5201(it,)s 5440(so)s 5705(that)s 6123(it)s 6314(can)s 6703(be)s 6984(found)s 7601(without)s 8391(search)s 8998(-)s 0 12013(ing)m 355(through)s 1152(its)s 1423(component.)s 2646(If)s 2871(the)s 3215(symbol)s 3970(is)s 4175(currently)s 5086(the)s 5429(tar)s 4(get)k 6023(of)s 6290(a)s 6451(g)s 1(alle)k 3(y)k 15(,)k 7118(it)s 7305(has)s 7670(a)s 240 fnt3 7831 12015(RECEIVING)m 240 fnt1 0 11725(inde)m 3(x)k 595(instead)s 1342(which)s 1995(is)s 2217(also)s 2667(link)s 2(ed)k 3332(to)s 3583(the)s 3942(incoming)s 4911(g)s 1(alle)k 3(y)k 15(.)k 5652(Galle)s 3(ys)k 6441(that)s 6871(are)s 7229(currently)s 8157(without)s 8960(a)s 0 11437(tar)m 4(get)k 586(are)s 920(link)s 2(ed)k 1560(to)s 1786(the)s 2120(dynamic)s 2984(tree)s 3383(by)s 240 fnt3 3664 11439(UN)m 6(A)k 8(TT)k 12(A)k 7(CHED)k 240 fnt1 5215 11437(g)m 1(alle)k 3(y)k 5836(inde)s 3(x)k 3(es,)k 6654(either)s 7244(just)s 7635(after)s 8118(their)s 8601(most)s 0 11149(recent)m 643(tar)s 4(get)k 1242(if)s 1459(there)s 1992(has)s 2362(been)s 2871(one,)s 3324(or)s 3583(else)s 4010(at)s 4242(their)s 4739(point)s 5291(of)s 5562(in)s 9(v)k 4(ocation.)k 480 10775(Each)m 1041(g)s 1(alle)k 3(y)k 1701(should)s 2424(be)s 2732(thought)s 3550(of)s 3847(as)s 4123(a)s 4315(concurrent)s 5423(process,)s 6273(although)s 7194(the)s 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