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diff --git a/doc/slides/outfile.ps b/doc/slides/outfile.ps deleted file mode 100644 index ed978e9..0000000 --- a/doc/slides/outfile.ps +++ /dev/null @@ -1,4470 +0,0 @@ -%!PS-Adobe-3.0 -%%Creator: Basser Lout Version 3.17 (September 1999) -%%CreationDate: Fri Sep 17 11:58:48 1999 -%%DocumentData: Binary -%%DocumentNeededResources: (atend) -%%DocumentMedia: Plain 595 842 0 white () -%%DocumentSuppliedResources: (atend) -%%Pages: (atend) -%%BoundingBox: 0 0 595 842 -%%EndComments - -%%BeginProlog -%%BeginResource: procset LoutStartUp -/m { 3 1 roll moveto show } bind def -/s { exch currentpoint exch pop moveto show } bind def -/k { exch neg 0 rmoveto show } 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 - -/BeginEPSF { - /LoutEPSFState save def - /dict_count countdictstack def - /op_count count 1 sub def - userdict begin - /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 - -/EndEPSF { - count op_count sub { pop } repeat - countdictstack dict_count sub { end } repeat - LoutEPSFState restore -} bind def -%%EndResource - -%%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 - -%%BeginResource: procset LoutTabPrependGraphic -% @PrependGraphic file /usr/staff/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 /usr/staff/jeff/lout.lib/include/figf.lpg -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% % -% PostScript @SysPrependGraphic file for @Fig Jeffrey H. Kingston % -% Version 2.0 (includes CIRCUM label) January 1992 % -% % -% 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. % -% % -% <point> is two numbers, a point. % -% <length> is one number, a length % -% <angle> is one number, an angle in degrees % -% <dashlength> 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: <string> <string> lfigconcat <string> -% 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 - -% <string> 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 <num> -/lfigpi 3.14159 def - -% arc directions -/clockwise false def -/anticlockwise true def - -% maximum of two numbers: <num> <num> lfigmax <num> -/lfigmax { 2 copy gt { pop } { exch pop } ifelse } def - -% minimum of two numbers: <num> <num> lfigmin <num> -/lfigmin { 2 copy lt { pop } { exch pop } ifelse } def - -% add two points: <point> <point> lfigpadd <point> -/lfigpadd { exch 3 1 roll add 3 1 roll add exch } def - -% subtract first point from second: <point> <point> lfigpsub <point> -/lfigpsub { 3 2 roll sub 3 1 roll exch sub exch } def - -% max two points: <point> <point> lfigpmax <point> -/lfigpmax { exch 3 1 roll lfigmax 3 1 roll lfigmax exch } def - -% min two points: <point> <point> lfigpmin <point> -/lfigpmin { exch 3 1 roll lfigmin 3 1 roll lfigmin exch } def - -% scalar multiplication: <point> <num> lfigpmul <point> -/lfigpmul { dup 3 1 roll mul 3 1 roll mul exch } def - -% point at angle and distance: <point> <length> <angle> lfigatangle <point> -/lfigatangle { 2 copy cos mul 3 1 roll sin mul lfigpadd } def - -% angle from one point to another: <point> <point> lfigangle <angle> -/lfigangle { lfigpsub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def - -% distance between two points: <point> <point> lfigdistance <length> -/lfigdistance { lfigpsub dup mul exch dup mul add sqrt } def - -% difference in x coords: <point> <point> lfigxdistance <length> -/lfigxdistance { pop 3 1 roll pop sub } def - -%difference in y coords: <point> <point> lfigydistance <length> -/lfigydistance { 3 1 roll pop sub exch pop } def - -% stroke a solid line: <length> <dashlength> lfigsolid - -/lfigsolid -{ pop pop [] 0 setdash stroke -} def - -% stroke a lfigdashed line: <length> <dashlength> 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: <length> <dashlength> 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: <length> <dashlength> 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: <length> <dashlength> lfignoline - -/lfignoline -{ pop pop -} def - -% painting (i.e. filling): - lfigwhite - (etc.) -/lfignopaint { } def -/lfignochange { fill } def -/lfigdarkblue { 0.0 0.0 0.5 setrgbcolor fill } def -/lfigblue { 0.0 0.0 1.0 setrgbcolor fill } def -/lfiglightblue { 0.5 0.5 1.0 setrgbcolor fill } def -/lfigdarkgreen { 0.0 0.5 0.0 setrgbcolor fill } def -/lfiggreen { 0.0 1.0 0.0 setrgbcolor fill } def -/lfiglightgreen { 0.5 1.0 0.5 setrgbcolor fill } def -/lfigdarkred { 0.5 0.0 0.0 setrgbcolor fill } def -/lfigred { 1.0 0.0 0.0 setrgbcolor fill } def -/lfiglightred { 1.0 0.5 0.5 setrgbcolor fill } def -/lfigdarkcyan { 0.0 0.5 0.5 setrgbcolor fill } def -/lfigcyan { 0.0 1.0 1.0 setrgbcolor fill } def -/lfiglightcyan { 0.5 1.0 1.0 setrgbcolor fill } def -/lfigdarkmagenta { 0.5 0.0 0.5 setrgbcolor fill } def -/lfigmagenta { 1.0 0.0 1.0 setrgbcolor fill } def -/lfiglightmagenta { 1.0 0.5 1.0 setrgbcolor fill } def -/lfigdarkyellow { 0.5 0.5 0.0 setrgbcolor fill } def -/lfigyellow { 1.0 1.0 0.0 setrgbcolor fill } def -/lfiglightyellow { 1.0 1.0 0.5 setrgbcolor fill } def -/lfigdarkgray { 0.2 0.2 0.2 setrgbcolor fill } def -/lfiggray { 0.5 0.5 0.5 setrgbcolor fill } def -/lfiglightgray { 0.8 0.8 0.8 setrgbcolor fill } def -/lfigdarkgrey { 0.2 0.2 0.2 setrgbcolor fill } def -/lfiggrey { 0.5 0.5 0.5 setrgbcolor fill } def -/lfiglightgrey { 0.8 0.8 0.8 setrgbcolor fill } def -/lfigblack { 0.0 0.0 0.0 setrgbcolor fill } def -/lfigwhite { 1.0 1.0 1.0 setrgbcolor 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: -% <sides> <angle> figpolygon <point> ... <point> -/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 LoutGraphPrependGraphic -% @PrependGraphic file /usr/staff/jeff/lout.lib/include/graphf.lpg -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% % -% PostScript @SysPrependGraphic file for @Graph (Version 1.0) % -% % -% Version 1.0 by Jeffrey H. Kingston, December 1993. % -% % -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -errordict begin - /handleerror - { - { /Times-Roman findfont 8 pt scalefont setfont - 0 setgray 4 pt 4 pt moveto - $error /errorname get - dup lgraphdict exch known - { lgraphdict exch get } - { 30 string cvs } ifelse - show - ( Command: ) show - $error /command get 30 string cvs show - } stopped {} if - showpage stop - } def -end - -/lgraphdict 200 dict def -lgraphdict begin - -% error messages -/dictfull (dictfull error) def -/dictstackoverflow (dictstackoverflow error) def -/execstackoverflow (execstackoverflow error: expression too complex?) def -/limitcheck (limitcheck error: graph too complex or too large?) def -/syntaxerror (syntaxerror error: syntax error in text of graph?) def -/typecheck (typecheck error: syntax error in text of graph?) def -/undefined (undefined error: unknown or misspelt symbol?) def -/rangecheck (rangecheck error: undefined expression (e.g. divide by zero)?) def -/VMError (VMError error: run out of memory?) def - -% random number between x and y inclusive: x y dorand num -/dorand { 1 index sub 1 add rand exch mod add } def - -% log to given base: base num dolog num -/dolog { ln exch ln div } def - -% maximum of two numbers: <num> <num> max <num> -/max { 2 copy gt { pop } { exch pop } ifelse } def - -% add two points: <point> <point> padd <point> -/padd { exch 3 1 roll add 3 1 roll add exch } def - -% subtract first point from second: <point> <point> psub <point> -/psub { 3 2 roll sub 3 1 roll exch sub exch } def - -% distance between two points: <point> <point> distance <length> -/distance { psub dup mul exch dup mul add sqrt } def - -% point at angle and distance: <point> <length> <angle> atangle <point> -/atangle { 2 copy cos mul 3 1 roll sin mul padd } def - -% angle from one point to another: <point> <point> angle <angle> -/angle { psub 2 copy 0 eq exch 0 eq and {pop} {exch atan} ifelse } def - - -% set up for line -% - linesetup <length> <dashlength> -/linesetup -{ newpath - xcurr ycurr trpoint xprev yprev trpoint - 4 copy moveto lineto distance dashlength -} def - -% set up for icon-avoiding line -% - ilinesetup <length> <dashlength> -/ilinesetup -{ newpath - xprev yprev trpoint xcurr ycurr trpoint 4 copy - 4 copy angle symbolsize 1.5 mul exch 4 2 roll pop pop atangle - 6 2 roll 4 2 roll - 4 copy angle symbolsize 1.5 mul exch 4 2 roll pop pop atangle - 4 copy moveto lineto distance dashlength -} def - - -% stroke a solid line: <length> <dashlength> solid - -/solid -{ pop pop [] 0 setdash linewidth setlinewidth stroke -} def - -% stroke a dashed line: <length> <dashlength> dashed - -/dashed -{ 2 copy 2 mul le 1 index 0 le or - { exch pop 1 pt max [ 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 linewidth setlinewidth stroke -} def - -% stroke a cdashed line: <length> <dashlength> cdashed - -/cdashed -{ 2 copy le 1 index 0 le or - { exch pop 1 pt max [ 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 linewidth setlinewidth stroke -} def - -% stroke a dotted line: <length> <dashlength> dotted - -/dotted -{ 2 copy le 1 index 0 le or - { exch pop 1 pt max [ exch 0 exch ] 0 setdash } - { 1 index exch div ceiling div 0.99999 mul - [ 0 3 2 roll ] 0 setdash - } ifelse gsave 1 setlinecap linewidth setlinewidth stroke grestore newpath -} def - -% stroke a noline line: <length> <dashlength> noline - -/noline -{ pop pop -} def - -% stroke a y histogram: - yhisto - -/yhisto -{ xprev yleft trpoint yextra sub moveto - xprev yprev trpoint lineto - xcurr yprev trpoint lineto - xcurr yleft trpoint yextra sub lineto - linewidth setlinewidth stroke -} def - -% stroke an x histogram: - xhisto - -/xhisto -{ xleft yprev trpoint exch xextra sub exch moveto - xcurr yprev trpoint lineto - xcurr ycurr trpoint lineto - xleft ycurr trpoint exch xextra sub exch lineto - linewidth setlinewidth stroke -} def - -% stroke a surface y histogram: - surfaceyhisto - -/surfaceyhisto -{ firstpair - { xprev yleft trpoint yextra sub moveto - xprev yprev trpoint lineto - } - { xprev yprev trpoint moveto - } ifelse - xcurr yprev trpoint lineto - lastpair - { xcurr yleft trpoint yextra sub lineto - } - { xcurr ycurr trpoint lineto - } ifelse - linewidth setlinewidth stroke -} def - -% stroke a surface x histogram: - surfacexhisto - -/surfacexhisto -{ firstpair - { xleft yprev trpoint exch xextra sub exch moveto - } - { xprev yprev trpoint moveto - } ifelse - xcurr yprev trpoint lineto - xcurr ycurr trpoint lineto - lastpair - { xleft ycurr trpoint exch xextra sub exch lineto - } if - linewidth setlinewidth stroke -} def - -% stroke a filled y histogram: - filledyhisto - -/filledyhisto -{ - linewidth setlinewidth - xprev yleft trpoint exch currentlinewidth 2 div add exch yextra sub moveto - xprev yprev trpoint exch currentlinewidth 2 div add exch lineto - xcurr yprev trpoint exch currentlinewidth 2 div sub exch lineto - xcurr yleft trpoint exch currentlinewidth 2 div sub exch yextra sub lineto - closepath fill -} def - -% stroke a filled x histogram: - filledxhisto - -/filledxhisto -{ - linewidth setlinewidth - xleft yprev trpoint currentlinewidth 2 div add exch xextra sub exch moveto - xcurr yprev trpoint currentlinewidth 2 div add lineto - xcurr ycurr trpoint currentlinewidth 2 div sub lineto - xleft ycurr trpoint currentlinewidth 2 div sub exch xextra sub exch lineto - closepath fill -} def - - -% cross: show a small cross -/cross -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg symbolsize neg rmoveto - symbolsize 2 mul symbolsize 2 mul rlineto - 0 symbolsize -2 mul rmoveto - symbolsize -2 mul symbolsize 2 mul rlineto - [] 0 setdash stroke -} def - -% plus: show a small plus -/plus -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg 0 rmoveto - symbolsize 2 mul 0 rlineto - symbolsize neg symbolsize neg rmoveto - 0 symbolsize 2 mul rlineto - [] 0 setdash stroke -} def - -% square: show a small square -/square -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg symbolsize neg rmoveto - symbolsize 2 mul 0 rlineto - 0 symbolsize 2 mul rlineto - symbolsize -2 mul 0 rlineto - closepath [] 0 setdash stroke -} def - -% filledsquare: show a small filled square -/filledsquare -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg symbolsize neg rmoveto - symbolsize 2 mul 0 rlineto - 0 symbolsize 2 mul rlineto - symbolsize -2 mul 0 rlineto - closepath gsave [] 0 setdash stroke grestore fill -} def - -% diamond: show a small diamond -/diamond -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg 0 rmoveto - symbolsize symbolsize neg rlineto - symbolsize symbolsize rlineto - symbolsize neg symbolsize rlineto - closepath [] 0 setdash stroke -} def - -% filleddiamond: show a small filled diamond -/filleddiamond -{ newpath - xcurr ycurr trpoint moveto - symbolsize neg 0 rmoveto - symbolsize symbolsize neg rlineto - symbolsize symbolsize rlineto - symbolsize neg symbolsize rlineto - closepath gsave [] 0 setdash stroke grestore fill -} def - -% circle: show a small circle -/circle -{ newpath - xcurr ycurr trpoint symbolsize 0 360 arc [] 0 setdash stroke -} def - -% filledcircle: show a small filled circle -/filledcircle -{ newpath - xcurr ycurr trpoint symbolsize 0 360 arc gsave [] 0 setdash stroke grestore fill -} def - -% triangle: show a small triangle -/triangle -{ newpath - xcurr ycurr trpoint moveto - 0 symbolsize 1.5 mul rmoveto - symbolsize neg symbolsize -2.5 mul rlineto - symbolsize 2 mul 0 rlineto - closepath [] 0 setdash stroke -} def - -% filledtriangle: show a small filled triangle -/filledtriangle -{ newpath - xcurr ycurr trpoint moveto - 0 symbolsize 1.5 mul rmoveto - symbolsize neg symbolsize -2.5 mul rlineto - symbolsize 2 mul 0 rlineto - closepath gsave [] 0 setdash stroke grestore fill -} def - - -%plog: like log only with a base, and protected from failing if <= 0 -% base x plog res -/plog { dup 0 le { pop pop 0 } { ln exch ln div } ifelse } def - -% xtr: transform one x value logarithmically if xlog > 1 -% <num> xtr <num> -/xtr -{ xlog 1 gt - { xlog exch plog - } if -} def - -% ytr: transform one y value logarithmically if ylog > 1 -% <num> ytr <num> -/ytr -{ ylog 1 gt - { ylog exch plog - } if -} def - -% % trpoint: transform (x, y) in graph space into (x', y') in print space -% % x y trpoint x' y' -% /trpoint -% { exch xtr trxmin sub trxmax trxmin sub div xwidth mul xextra add -% exch ytr trymin sub trymax trymin sub div ywidth mul yextra add -% } def - - -% trpoint: transform (x, y) in graph space into (x', y') in print space -% x y trpoint x' y' -/trpoint -{ exch xtr xdecr { trxmax exch sub } { trxmin sub } ifelse - trxmax trxmin sub div xwidth mul xextra add - - exch ytr ydecr { trymax exch sub } { trymin sub } ifelse - trymax trymin sub div ywidth mul yextra add -} def - - -% yonly: interpolate x values 1, 2, ... into data -% [ data ] yonly [ newdata ] -/yonly -{ dup /tmp exch def - length [ exch 1 exch 1 exch - { dup tmp exch 1 sub get - } for - ] -} def - -% xonly: interpolate y values 1, 2, ... into data -% [ data ] yonly [ newdata ] -/xonly -{ dup /tmp exch def - length [ exch 1 exch 1 exch - { dup tmp exch 1 sub get exch - } for - ] -} def - -% xandy: no interpolation of x or y values -% [ data ] xandy [ data ] -/xandy {} def - - -% expstringwidth: calculate width of string containing optional exponent -% <string> expstringwidth <width> -/expstringwidth -{ (^) search - { exch pop stringwidth pop exch stringwidth pop 0.7 mul add } - { stringwidth pop } - ifelse -} def - -% expstringshow: show string containing optional exponent -% <string> expstringshow - -/expstringshow -{ (^) search - { exch pop show 0 0.5 ft rmoveto - gsave currentfont 0.7 scalefont setfont show grestore - } - { show - } - ifelse -} def - -% concatenate two strings: <string> <string> strconcat <string> -/strconcat -{ 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 - -% lgen: generate one label automatically -% num lgen num string -/lgen { dup 20 string cvs } def - -% loglgen: generate one logarithmic label (with exponent) -% <base> <exponent> loglgen <string> -/loglgen -{ 20 string cvs exch 20 string cvs - (^) strconcat exch strconcat -} def - - -% printxtick: print one x tick -% xpos printxtick - -/printxtick -{ newpath - yleft trpoint moveto 0 yextra neg rmoveto - 0 xticklength neg rlineto [] 0 setdash stroke -} def - -% printxlabel: print one x label -% (xlabel) xpos printxlabel - -/printxlabel -{ yleft trpoint moveto 0 yextra neg rmoveto - 0 xticklength neg rmoveto 0 0.9 ft neg rmoveto - xlog 1 gt { 0 0.3 ft neg rmoveto } if - dup expstringwidth -2 div 0 rmoveto expstringshow -} def - -% printytick: print one y tick -% ypos printytick - -/printytick -{ newpath - xleft exch trpoint moveto xextra neg 0 rmoveto - yticklength neg 0 rlineto [] 0 setdash stroke -} def - -% printylabel: print one y label -% (ylabel) ypos printylabel - -/printylabel -{ xleft exch trpoint moveto xextra neg 0 rmoveto - yticklength neg 0 rmoveto -0.3 ft -0.3 ft rmoveto - dup expstringwidth neg 0 rmoveto expstringshow -} def - -% printrtick: print one r tick -% ypos printrtick - -/printrtick -{ newpath - xright exch trpoint moveto xextra 0 rmoveto - rticklength 0 rlineto [] 0 setdash stroke -} def - -% printrlabel: print one r label -% (rlabel) ypos printrlabel - -/printrlabel -{ xright exch trpoint moveto xextra 0 rmoveto - rticklength 0 rmoveto 0.3 ft -0.3 ft rmoveto - expstringshow -} def - -% printticks: print ticks and labels -% /tickproc /labelproc [ tickandlabeldata ] min printticks - -/printticks -{ /prev exch def - { dup type dup dup /integertype eq exch /realtype eq or - { pop dup /prev exch def 2 index cvx exec - } - { /stringtype eq - { prev 2 index cvx exec - } - { pop - } ifelse - } ifelse - } forall - pop pop -} def - - -% printxaxistick: print one x axis tick -% xpos printxaxistick - -/printxaxistick -{ newpath - yaxis trpoint moveto 0 xticklength -2 div rmoveto - 0 xticklength rlineto [] 0 setdash stroke -} def - -% printxaxislabel: print one x axis label -% (xlabel) xpos printxaxislabel - -/printxaxislabel -{ yaxis trpoint moveto - 0 xticklength -2 div rmoveto 0 0.9 ft neg rmoveto - xlog 1 gt { 0 0.3 ft neg rmoveto } if - dup expstringwidth -2 div 0 rmoveto expstringshow -} def - -% printyaxistick: print one y axis tick -% ypos printyaxistick - -/printyaxistick -{ newpath - xaxis exch trpoint moveto - yticklength -2 div 0 rmoveto - yticklength 0 rlineto [] 0 setdash stroke -} def - -% printyaxislabel: print one y axis label -% (ylabel) ypos printyaxislabel - -/printyaxislabel -{ xaxis exch trpoint moveto - yticklength -2 div 0 rmoveto -0.3 ft -0.3 ft rmoveto - dup expstringwidth neg 0 rmoveto expstringshow -} def - - -% <val> minmax - -% perform minv := min(minv, val); maxv := max(maxv, val) -% allowing for the possibility of minv, maxv, val being false (undefined) -/minmax -{ dup false eq - { pop } - { minv false eq - { dup /minv exch def /maxv exch def } - { dup minv lt - { /minv exch def } - { dup maxv gt - { /maxv exch def } - { pop } - ifelse - } ifelse - } ifelse - } ifelse -} def - -% <ticks> ticksundef <ticks> <bool> -% returns true iff the ticks array is undefined (one false entry) -/ticksundef -{ dup length 1 eq - { dup 0 get false eq - } - { false } - ifelse -} def - -% <number> integral <boolean> -% true if the number has an integral value -/integral { dup round eq } def - -% ticksep ticks xory alldata minval maxval axis base ticksandlimits ticks min max base -% ticksandlimits: sort out value of x or y ticks and limits and log base -/ticksandlimits -{ /base exch def - /minv false def - /maxv false def - - % min and max of user-supplied minval, maxval, and axis - minmax minmax minmax - - % min and max of data points - { 0 get dup dup length 1 sub 3 index exch 2 exch - { get minmax dup - } for pop pop - } forall - pop dup - - % min and max of tick values - { dup type /stringtype eq - { pop } { minmax } ifelse - } forall - - % fix minv and maxv if undefined (false) or equal - minv false eq - { /minv -1 def /maxv 1 def } - { minv maxv eq - { minv 0 lt - { /minv 2 minv mul def /maxv 0 def - } - { minv 0 eq - { /minv -1 def /maxv 1 def - } - { /minv 0 def /maxv 2 maxv mul def - } ifelse - } ifelse - } if - } ifelse - - % invent ticks if undefined - ticksundef - { pop /ticksep exch def - - % if base is reasonable and minv is positive, logarithmic ticks - base 1 gt minv 0 gt and - { - % get integral log of minv and maxv - /logminv base minv plog floor cvi def - /logmaxv base maxv plog ceiling cvi def - - % if minv close to base, make it 1; reset minv and maxv - logminv 1 eq logmaxv 4 ge and { /logminv 0 def } if - /minv base logminv exp def - /maxv base logmaxv exp def - - % ticks := [ base**logminv, ... , base**logmaxv ] - [ logminv 1 logmaxv - { dup base exch exp - exch base exch loglgen - } for - ] - } - { % non-logarithmic ticks - { - % fix tick separation if undefined (0) or too small - /base 0 def - /delta maxv minv sub def - ticksep delta 30 div le - { /ticksep 10 delta log 1 sub ceiling exp def - ticksep delta 2 div ge - { /ticksep ticksep 2 div def } - { ticksep delta 5 div lt - { /ticksep 2 ticksep mul def - } if - } ifelse - } if - - % adjust minv and maxv to be multiples of ticksep - /minv minv ticksep div floor ticksep mul def - /maxv maxv ticksep div ceiling ticksep mul def - /delta maxv minv sub def - - % if minv or maxv near zero, move to zero and redo - minv ticksep eq - { /minv 0 def } - { maxv ticksep neg eq { /maxv 0 def } { exit } ifelse - } ifelse - } loop - - % if minv, maxv, and ticksep are all integral, set "makeint" to true - /makeint minv integral maxv integral ticksep integral and and def - - % ticks := [ minv, minv+ticksep, ... , maxv ] - [ 0 1 delta ticksep div round - { ticksep mul minv add makeint { cvi } if lgen } - for - ] - } ifelse - } - { exch pop - } ifelse - minv maxv base -} def - -% xset: set up all data for x axis, including limits and ticks -% xticksep xticks 0 alldata xmin xmax xlog xextra xdecr xaxis xticklength xset - -/xset -{ /xticklength exch def - /xaxis exch def - /xdecr exch def - /xextra exch def - xaxis exch ticksandlimits - /xlog exch def /xmax exch def /xmin exch def /xticks exch def - /xleft xdecr { xmax } { xmin } ifelse def - /xright xdecr { xmin } { xmax } ifelse def - /xwidth xsize xextra 2 mul sub def - /trxmin xmin xtr def /trxmax xmax xtr def -} def - -% yset: set up all data for y axis, including limits and yticks -% yticksep yticks 0 alldata ymin ymax ylog yextra ydecr yaxis yticklength yset - -/yset -{ /yticklength exch def - /yaxis exch def - /ydecr exch def - /yextra exch def - yaxis exch ticksandlimits - /ylog exch def /ymax exch def /ymin exch def /yticks exch def - /yleft ydecr { ymax } { ymin } ifelse def - /yright ydecr { ymin } { ymax } ifelse def - /ywidth ysize yextra 2 mul sub def - /trymin ymin ytr def /trymax ymax ytr def -} def - -% rset: set up all data for y axis (again), but including limits and rticks -% rticksep rticks 0 alldata ymin ymax ylog yextra ydecr yaxis rticklength rset - -/rset -{ /rticklength exch def - /yaxis exch def - /ydecr exch def - /yextra exch def - yaxis exch ticksandlimits - /ylog exch def /ymax exch def /ymin exch def /rticks exch def - /yleft ydecr { ymax } { ymin } ifelse def - /yright ydecr { ymin } { ymax } ifelse def - /ywidth ysize yextra 2 mul sub def - /trymin ymin ytr def /trymax ymax ytr def -} def - -% norset: set up data for no rticks -% - norset - -/norset -{ /rticklength 0 def - /rticks [] def -} def - -% framestyle: print a frame around the graph -/framestyle -{ 0 0 moveto xsize 0 lineto xsize ysize lineto - 0 ysize lineto closepath stroke - /printxtick /printxlabel xticks xleft printticks - /printytick /printylabel yticks ymin printticks - /printrtick /printrlabel rticks ymin printticks -} def - -% nonestyle: print nothing around the graph -/nonestyle -{ -} def - -% axesstyle: print axes for the graph (unless axis values missing) -/axesstyle -{ - xaxis false eq yaxis false eq or - { framestyle } - { xaxis yaxis trpoint dup 0 exch moveto xsize exch lineto - dup 0 moveto ysize lineto stroke - /printxaxistick /printxaxislabel xticks xleft printticks - /printyaxistick /printyaxislabel yticks ymin printticks - } ifelse -} def - -% rundata: run all data sets -/rundata -{ alldata - { gsave - dup dup dup dup - 4 get /dopaint exch def - 3 get /initrun exch def - 2 get /pairs exch def - 1 get /points exch def - 0 get /data exch def - dopaint - { data length 4 ge - { initrun - newpath - data 0 get ymin trpoint yextra sub moveto - 0 2 data length 2 sub - { dup 1 add - data exch get /ycurr exch def - data exch get /xcurr exch def - xcurr ycurr trpoint lineto - } for - data dup length 2 sub get ymin trpoint yextra sub lineto - closepath fill - } if - } if - initrun - data length 2 ge - { - /xcurr data 0 get def - /ycurr data 1 get def - points - data length 4 ge - { 2 2 data length 2 sub - { /xprev xcurr def - /yprev ycurr def - dup dup 2 eq /firstpair exch def - data length 2 sub eq /lastpair exch def - dup 1 add - data exch get /ycurr exch def - data exch get /xcurr exch def - pairs - points - } for - } if - } if - grestore - } forall -} def - -end -%%EndResource - -%%BeginResource: procset LoutBasicSetup -% @PrependGraphic file /usr/staff/jeff/lout.lib/include/bsf.lpg - -% width height linethickness louteuro - -% draw a Euro symbol of this width and height with this line thickness -% Author: Jeff Kingston, based on code from Andrew Beardsley -/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 Helvetica-Oblique -/Helvetica-Obliquefnt36 vec2 /Helvetica-Oblique LoutRecode -/fnt36 { /Helvetica-Obliquefnt36 LoutFont } def -%%EndSetup - 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