From eb31e0dbc152c6295c52f9762420572a25550bf0 Mon Sep 17 00:00:00 2001 From: Sven Riwoldt Date: Sat, 29 Jun 2024 08:05:31 +0200 Subject: [PATCH] Init --- Calc01.pdf | Bin 0 -> 172793 bytes Calc01.tex | 44 + Eingangstest.tex | 221 ++ Grafiken/A1-eps-converted-to.pdf | Bin 0 -> 29265 bytes Grafiken/A1.eps | 4300 ++++++++++++++++++++++++++++ Grafiken/A10.png | Bin 0 -> 12875 bytes Grafiken/A11.png | Bin 0 -> 18797 bytes Grafiken/A12.png | Bin 0 -> 23841 bytes Grafiken/A2-eps-converted-to.pdf | Bin 0 -> 15151 bytes Grafiken/A2.eps | 2814 ++++++++++++++++++ Grafiken/A5-eps-converted-to.pdf | Bin 0 -> 14659 bytes Grafiken/A5.eps | 3090 ++++++++++++++++++++ Grafiken/A6-eps-converted-to.pdf | Bin 0 -> 17642 bytes Grafiken/A6.eps | 3146 ++++++++++++++++++++ Grafiken/A8-eps-converted-to.pdf | Bin 0 -> 18968 bytes Grafiken/A8.eps | 3284 +++++++++++++++++++++ Grafiken/A9.png | Bin 0 -> 16374 bytes Grafiken/Q1_1.png | Bin 0 -> 16350 bytes Grafiken/Q1_2.png | Bin 0 -> 18296 bytes 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z!O?+dfIFh$AIzJL^EQ0l=?5zgyFvj+P`w-{b!0i(cgnF%+W8N0fySgP)f@D&ectm8 zmygYyOk3Hbn(mW(dcUCFM46n4yKq=)`M$wNzOX6xkPpq#pEh;W?juBV;F4M$0?)+5 zmdCq4UFiDAVO-d`JaRkH@@3f2D-3$E@Rs)A>h3d?t~=OC&=1-j(*sB|?f)7T#J}gC zzhVG}xgH~ufVm^!ED?;*1?I@mP#_B1lMWbmm`n-<>;9gAV23eak3-f5a9wLXtS;Kh z+5(A&TflXZx(Ew>eLYLKp#c($HvPX#0CVkOGJ*Jerbg(3fy+~14+OxX3l#sGY=-}I zhk?QNEc*9M7MYLt_5J$iEkuw6AD3quqY#V~4~8tjTj nbMkE@AKwm>72)y!8V?#BN2Nznfe7dtqEQGSccir=R`mY^l&-~S literal 0 HcmV?d00001 diff --git a/Grafiken/A1.eps b/Grafiken/A1.eps new file mode 100644 index 0000000..5713467 --- /dev/null +++ b/Grafiken/A1.eps @@ -0,0 +1,4300 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 198 575 593 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 +%%For: +%%Title: +%%CreationDate: Freitag, 17. Mai 2024, 16:10:59 Mitteleuropäische Sommerzeit +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +100 dict dup begin + +% +% File: org/freehep/graphicsio.ps/PSProlog.txt +% Author: Charles Loomis +% + +% Redefinitions which save some space in the output file. These are also +% the same as the PDF operators. +/q {gsave} def +/Q {grestore} def + +/n {newpath} def +/m {moveto} def +/l {lineto} def +/c {curveto} def +/h {closepath} def + +/re {4 -2 roll moveto + dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} def + +/f {fill} def +/f* {eofill} def +/F {gsave vg&FC fill grestore} def +/F* {gsave vg&FC eofill grestore} def + +/s {closepath stroke} def +/S {stroke} def + +/b {closepath gsave vg&FC fill grestore + gsave stroke grestore newpath} def +/B {gsave vg&FC fill grestore gsave stroke grestore newpath} def +/b* {closepath gsave vg&FC eofill grestore + gsave stroke grestore newpath} def +/B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def + +/g {1 array astore /vg&fcolor exch def} def +/G {setgray} def +/k {4 array astore /vg&fcolor exch def} def +/K {setcmykcolor} def +/rg {3 array astore /vg&fcolor exch def} def +/RG {setrgbcolor} def + +% Initialize the fill color. +0 0 0 rg + +/vg&FC {mark vg&fcolor aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/vg&DFC {/vg&fcolor exch def} def + +/vg&C {mark exch aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/w {setlinewidth} def +/j {setlinejoin} def +/J {setlinecap} def +/M {setmiterlimit} def +/d {setdash} def +/i {setflat} def + +/W {clip} def +/W* {eoclip} def + +% Setup the default graphics state. +% (black; 1 pt. linewidth; miter join; butt-ends; solid) +/defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def + +% Emulation of the rectangle operators for PostScript implementations +% which do not implement all Level 2 features. This is an INCOMPLETE +% emulation; only the "x y width height rect..." form is emulated. +/*rf {gsave newpath re fill grestore} def +/*rs {gsave newpath re stroke grestore} def +/*rc {newpath re clip} def +/rf /rectfill where {pop /rectfill}{/*rf} ifelse load def +/rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def +/rc /rectclip where {pop /rectclip}{/*rc} ifelse load def + +% Emulation of the selectfont operator. This includes a 20% increase in +% the fontsize which is necessary to get sizes similar to the Java fonts. +/*sf {exch findfont exch + dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def +/sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def + +% Special version of stroke which allows the dash pattern to continue +% across path segments. (This may be needed for PostScript although +% modern printers seem to do this correctly.) +/vg&stroke { + currentdash pop length 0 eq + {stroke} + { + currentdash /vg&doffset exch def pop + flattenpath + {m vg&resetdash} + {2 copy + currentpoint + 3 -1 roll sub dup mul + 3 1 roll sub dup mul + add sqrt + 3 1 roll l + currentdash 3 -1 roll add setdash} + {} + {h vg&resetdash} + pathforall + stroke + vg&resetdash + } ifelse +} def +/vg&resetdash {currentdash pop vg&doffset setdash} def + +% Initialize variables for safety. +/delta 0 def +/xv 0 def /yv 0 def /width 0 def /height 0 def + +% Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. +/pw 595 def /ph 791 def /po true def /ftp false def + +% Initialize margins to 20 points. +/ml 20 def /mr 20 def /mt 20 def /mb 20 def + +% Temporary matrices. +/smatrix 0 def /nmatrix 0 def + +% set page size (usage: setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} % UR +{calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR +{calcval widx dx add neg 0 rmoveto} % BR +{calcval widx dx add neg dy neg rmoveto} % LR +{calcval widx 2 div dx add neg widy dy add neg rmoveto} % UC +{calcval widx 2 div dx add neg widy 2 div dy add neg rmoveto} % CC +{calcval widx 2 div dx add neg 0 rmoveto} % BC +{calcval widx 2 div dx add neg dy neg rmoveto} % LC +] def + +/vg&str {m q 1 -1 scale dup stringsize 4 copy align 11 -1 roll get exec + q inflate relative frame exch exec Q recshow Q} def + +end /procDict exch def +%%EndProlog + +%%BeginSetup +save +procDict begin +printColorMap begin +595 791 setpagesize +20 20 20 20 setmargins +0 0 setorigin +700 496 setsize +fittopage +portrait +imagescale +cliptobounds +setbasematrix +/Helvetica 10 sf +defaultGraphicsState +%%EndSetup + +0 0 0 RG +[ 1.00000 0 0 1.00000 0 0 ] defaultmatrix matrix concatmatrix setmatrix +cliprestore +1.00000 1.00000 1.00000 RG +newpath +0 0 m +700.000 0 l +700.000 496.000 l +0 496.000 l 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new file mode 100644 index 0000000..c0d7cbf --- /dev/null +++ b/Grafiken/A2.eps @@ -0,0 +1,2814 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 113 575 678 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 +%%For: +%%Title: +%%CreationDate: Freitag, 17. Mai 2024, 18:39:26 Mitteleuropäische Sommerzeit +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +100 dict dup begin + +% +% File: org/freehep/graphicsio.ps/PSProlog.txt +% Author: Charles Loomis +% + +% Redefinitions which save some space in the output file. These are also +% the same as the PDF operators. +/q {gsave} def +/Q {grestore} def + +/n {newpath} def +/m {moveto} def +/l {lineto} def +/c {curveto} def +/h {closepath} def + +/re {4 -2 roll moveto + dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} def + +/f {fill} def +/f* {eofill} def +/F {gsave vg&FC fill grestore} def +/F* {gsave vg&FC eofill grestore} def + +/s {closepath stroke} def +/S {stroke} def + +/b {closepath gsave vg&FC fill grestore + gsave stroke grestore newpath} def +/B {gsave vg&FC fill grestore gsave stroke grestore newpath} def +/b* {closepath gsave vg&FC eofill grestore + gsave stroke grestore newpath} def +/B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def + +/g {1 array astore /vg&fcolor exch def} def +/G {setgray} def +/k {4 array astore /vg&fcolor exch def} def +/K {setcmykcolor} def +/rg {3 array astore /vg&fcolor exch def} def +/RG {setrgbcolor} def + +% Initialize the fill color. +0 0 0 rg + +/vg&FC {mark vg&fcolor aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/vg&DFC {/vg&fcolor exch def} def + +/vg&C {mark exch aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/w {setlinewidth} def +/j {setlinejoin} def +/J {setlinecap} def +/M {setmiterlimit} def +/d {setdash} def +/i {setflat} def + +/W {clip} def +/W* {eoclip} def + +% Setup the default graphics state. +% (black; 1 pt. linewidth; miter join; butt-ends; solid) +/defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def + +% Emulation of the rectangle operators for PostScript implementations +% which do not implement all Level 2 features. This is an INCOMPLETE +% emulation; only the "x y width height rect..." form is emulated. +/*rf {gsave newpath re fill grestore} def +/*rs {gsave newpath re stroke grestore} def +/*rc {newpath re clip} def +/rf /rectfill where {pop /rectfill}{/*rf} ifelse load def +/rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def +/rc /rectclip where {pop /rectclip}{/*rc} ifelse load def + +% Emulation of the selectfont operator. This includes a 20% increase in +% the fontsize which is necessary to get sizes similar to the Java fonts. +/*sf {exch findfont exch + dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def +/sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def + +% Special version of stroke which allows the dash pattern to continue +% across path segments. (This may be needed for PostScript although +% modern printers seem to do this correctly.) +/vg&stroke { + currentdash pop length 0 eq + {stroke} + { + currentdash /vg&doffset exch def pop + flattenpath + {m vg&resetdash} + {2 copy + currentpoint + 3 -1 roll sub dup mul + 3 1 roll sub dup mul + add sqrt + 3 1 roll l + currentdash 3 -1 roll add setdash} + {} + {h vg&resetdash} + pathforall + stroke + vg&resetdash + } ifelse +} def +/vg&resetdash {currentdash pop vg&doffset setdash} def + +% Initialize variables for safety. +/delta 0 def +/xv 0 def /yv 0 def /width 0 def /height 0 def + +% Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. +/pw 595 def /ph 791 def /po true def /ftp false def + +% Initialize margins to 20 points. +/ml 20 def /mr 20 def /mt 20 def /mb 20 def + +% Temporary matrices. +/smatrix 0 def /nmatrix 0 def + +% set page size (usage: setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} 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zulZ{QexMNc5SY0|rIU~%`tM%h``7vNmk$6yV_iFY#M$BGZwKJxN1TyhFv1JJ4;=td z#oZnZ;Qw;~0afGyrs9Gkav(l=IbJz=QGR|IVUUc1f{-A;pdg^KPNRGKLAlR0+{k4wD2Q}{~>?xAK?%b{C$f4GnLQA((?LO;gkm*Dk?E51}dn; ziXRoVqz4tybArY=_?VG`;?p+_~sZq|J@%@m=y%(3qg2*PXHu@ M$eCnT&{D+uKY3@;$N&HU literal 0 HcmV?d00001 diff --git a/Grafiken/A5.eps b/Grafiken/A5.eps new file mode 100644 index 0000000..c65e834 --- /dev/null +++ b/Grafiken/A5.eps @@ -0,0 +1,3090 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 118 575 673 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 +%%For: +%%Title: +%%CreationDate: Montag, 20. Mai 2024, 11:52:39 Mitteleuropäische Sommerzeit +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +100 dict dup begin + +% +% File: org/freehep/graphicsio.ps/PSProlog.txt +% Author: Charles Loomis +% + +% Redefinitions which save some space in the output file. These are also +% the same as the PDF operators. +/q {gsave} def +/Q {grestore} def + +/n {newpath} def +/m {moveto} def +/l {lineto} def +/c {curveto} def +/h {closepath} def + +/re {4 -2 roll moveto + dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} def + +/f {fill} def +/f* {eofill} def +/F {gsave vg&FC fill grestore} def +/F* {gsave vg&FC eofill grestore} def + +/s {closepath stroke} def +/S {stroke} def + +/b {closepath gsave vg&FC fill grestore + gsave stroke grestore newpath} def +/B {gsave vg&FC fill grestore gsave stroke grestore newpath} def +/b* {closepath gsave vg&FC eofill grestore + gsave stroke grestore newpath} def +/B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def + +/g {1 array astore /vg&fcolor exch def} def +/G {setgray} def +/k {4 array astore /vg&fcolor exch def} def +/K {setcmykcolor} def +/rg {3 array astore /vg&fcolor exch def} def +/RG {setrgbcolor} def + +% Initialize the fill color. +0 0 0 rg + +/vg&FC {mark vg&fcolor aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/vg&DFC {/vg&fcolor exch def} def + +/vg&C {mark exch aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/w {setlinewidth} def +/j {setlinejoin} def +/J {setlinecap} def +/M {setmiterlimit} def +/d {setdash} def +/i {setflat} def + +/W {clip} def +/W* {eoclip} def + +% Setup the default graphics state. +% (black; 1 pt. linewidth; miter join; butt-ends; solid) +/defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def + +% Emulation of the rectangle operators for PostScript implementations +% which do not implement all Level 2 features. This is an INCOMPLETE +% emulation; only the "x y width height rect..." form is emulated. +/*rf {gsave newpath re fill grestore} def +/*rs {gsave newpath re stroke grestore} def +/*rc {newpath re clip} def +/rf /rectfill where {pop /rectfill}{/*rf} ifelse load def +/rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def +/rc /rectclip where {pop /rectclip}{/*rc} ifelse load def + +% Emulation of the selectfont operator. This includes a 20% increase in +% the fontsize which is necessary to get sizes similar to the Java fonts. +/*sf {exch findfont exch + dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def +/sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def + +% Special version of stroke which allows the dash pattern to continue +% across path segments. (This may be needed for PostScript although +% modern printers seem to do this correctly.) +/vg&stroke { + currentdash pop length 0 eq + {stroke} + { + currentdash /vg&doffset exch def pop + flattenpath + {m vg&resetdash} + {2 copy + currentpoint + 3 -1 roll sub dup mul + 3 1 roll sub dup mul + add sqrt + 3 1 roll l + currentdash 3 -1 roll add setdash} + {} + {h vg&resetdash} + pathforall + stroke + vg&resetdash + } ifelse +} def +/vg&resetdash {currentdash pop vg&doffset setdash} def + +% Initialize variables for safety. +/delta 0 def +/xv 0 def /yv 0 def /width 0 def /height 0 def + +% Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. +/pw 595 def /ph 791 def /po true def /ftp false def + +% Initialize margins to 20 points. +/ml 20 def /mr 20 def /mt 20 def /mb 20 def + +% Temporary matrices. +/smatrix 0 def /nmatrix 0 def + +% set page size (usage: setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} 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+%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 118 575 673 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 +%%For: +%%Title: +%%CreationDate: Montag, 20. Mai 2024, 08:37:04 Mitteleuropäische Sommerzeit +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +100 dict dup begin + +% +% File: org/freehep/graphicsio.ps/PSProlog.txt +% Author: Charles Loomis +% + +% Redefinitions which save some space in the output file. These are also +% the same as the PDF operators. +/q {gsave} def +/Q {grestore} def + +/n {newpath} def +/m {moveto} def +/l {lineto} def +/c {curveto} def +/h {closepath} def + +/re {4 -2 roll moveto + dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} def + +/f {fill} def +/f* {eofill} def +/F {gsave vg&FC fill grestore} def +/F* {gsave vg&FC eofill grestore} def + +/s {closepath stroke} def +/S {stroke} def + +/b {closepath gsave vg&FC fill grestore + gsave stroke grestore newpath} def +/B {gsave vg&FC fill grestore gsave stroke grestore newpath} def +/b* {closepath gsave vg&FC eofill grestore + gsave stroke grestore newpath} def +/B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def + +/g {1 array astore /vg&fcolor exch def} def +/G {setgray} def +/k {4 array astore /vg&fcolor exch def} def +/K {setcmykcolor} def +/rg {3 array astore /vg&fcolor exch def} def +/RG {setrgbcolor} def + +% Initialize the fill color. +0 0 0 rg + +/vg&FC {mark vg&fcolor aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/vg&DFC {/vg&fcolor exch def} def + +/vg&C {mark exch aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/w {setlinewidth} def +/j {setlinejoin} def +/J {setlinecap} def +/M {setmiterlimit} def +/d {setdash} def +/i {setflat} def + +/W {clip} def +/W* {eoclip} def + +% Setup the default graphics state. +% (black; 1 pt. linewidth; miter join; butt-ends; solid) +/defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def + +% Emulation of the rectangle operators for PostScript implementations +% which do not implement all Level 2 features. This is an INCOMPLETE +% emulation; only the "x y width height rect..." form is emulated. +/*rf {gsave newpath re fill grestore} def +/*rs {gsave newpath re stroke grestore} def +/*rc {newpath re clip} def +/rf /rectfill where {pop /rectfill}{/*rf} ifelse load def +/rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def +/rc /rectclip where {pop /rectclip}{/*rc} ifelse load def + +% Emulation of the selectfont operator. This includes a 20% increase in +% the fontsize which is necessary to get sizes similar to the Java fonts. +/*sf {exch findfont exch + dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def +/sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def + +% Special version of stroke which allows the dash pattern to continue +% across path segments. (This may be needed for PostScript although +% modern printers seem to do this correctly.) +/vg&stroke { + currentdash pop length 0 eq + {stroke} + { + currentdash /vg&doffset exch def pop + flattenpath + {m vg&resetdash} + {2 copy + currentpoint + 3 -1 roll sub dup mul + 3 1 roll sub dup mul + add sqrt + 3 1 roll l + currentdash 3 -1 roll add setdash} + {} + {h vg&resetdash} + pathforall + stroke + vg&resetdash + } ifelse +} def +/vg&resetdash {currentdash pop vg&doffset setdash} def + +% Initialize variables for safety. +/delta 0 def +/xv 0 def /yv 0 def /width 0 def /height 0 def + +% Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. +/pw 595 def /ph 791 def /po true def /ftp false def + +% Initialize margins to 20 points. +/ml 20 def /mr 20 def /mt 20 def /mb 20 def + +% Temporary matrices. +/smatrix 0 def /nmatrix 0 def + +% set page size (usage: setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} % UR +{calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR +{calcval widx dx add neg 0 rmoveto} % BR +{calcval widx dx add neg dy neg rmoveto} % LR +{calcval widx 2 div dx add neg widy dy add neg rmoveto} % UC +{calcval widx 2 div dx add neg widy 2 div dy add neg rmoveto} % CC +{calcval widx 2 div dx add neg 0 rmoveto} % BC +{calcval widx 2 div dx add neg dy neg rmoveto} % LC +] def + +/vg&str {m q 1 -1 scale dup stringsize 4 copy align 11 -1 roll get exec + q inflate relative frame exch exec Q recshow Q} def + +end /procDict exch def +%%EndProlog + +%%BeginSetup +save +procDict begin +printColorMap begin +595 791 setpagesize +20 20 20 20 setmargins +0 0 setorigin +500 500 setsize +fittopage +portrait +imagescale +cliptobounds +setbasematrix +/Helvetica 10 sf +defaultGraphicsState +%%EndSetup + +0 0 0 RG +[ 1.00000 0 0 1.00000 0 0 ] defaultmatrix matrix concatmatrix setmatrix +cliprestore +1.00000 1.00000 1.00000 RG +newpath +0 0 m +500.000 0 l +500.000 500.000 l +0 500.000 l 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zJpqM~Wwl`xRQObvB&aNhI7M1dl$=>ZHqYw9dSs`Z{4Qg`r$V9sk47S)*O$)cX(et{peSGx zC%Q=$GQ)r)qTr0lN`lwm4y00XDTgM5p+G2)3pO=LixZDg-@dq(BjS=?Y0fyG>~vFE zS|l+(9oK;0h*@0969zw?)B%*B=TTO2YMM#UguYuvjV)cYATUijj3u~qkQrRK(jF7K zN6)=eG}*_XAG@iH-lc9E6IGLqHV1Vx73s!gG+*2lUDvE7On5n}Gyx!vqC&5B6k2E1 zWarHGZ~OGPX-jo!@u|VJSJpr7^8_hItUmZ|ZJ+2x*G?2kKRIgud8XNWYV7H%>!X_w zl&q*O+B>6YRS}u9_T0lCAAR-ozTf5*_p~41H@7qL#Hxl}C2#cqiLQTpDDwT81B0I4 z^WmkzQ(IsEZsgFOc@>9GXxmoIlJ__}FAZMX!4J+}%)VT+$kXu=_d)gQ?D~Uez2`Hc zW5hblpWQr~ENk?>P`1wA6qVn5Zm#RfuhEfZ{M%nWSaHxh|MsXblk+DR1BBZmBnGoX z>Lu{caF~&@3{lXB4#IWGn2cCs0O2|gwYzNATA$6r`u(gwP*ua!_vONzvp)C`N@wH389V1)&88c?E%bl7bA6fNKr2^}3b{(W=H7X=3B>is9Fl9KyM7d*7{_IRiouV`5XBEVGH NmsSD setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} % UR +{calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR +{calcval widx dx add neg 0 rmoveto} % BR +{calcval widx dx add neg dy neg rmoveto} % LR +{calcval widx 2 div dx add neg widy dy add neg rmoveto} % UC +{calcval widx 2 div dx add neg widy 2 div dy add neg rmoveto} % CC +{calcval widx 2 div dx add neg 0 rmoveto} % BC +{calcval widx 2 div dx add neg dy neg rmoveto} % LC +] def + +/vg&str {m q 1 -1 scale dup stringsize 4 copy align 11 -1 roll get exec + q inflate relative frame exch exec Q recshow Q} def + +end /procDict exch def +%%EndProlog + +%%BeginSetup +save +procDict begin +printColorMap begin +595 791 setpagesize +20 20 20 20 setmargins +0 0 setorigin +500 500 setsize +fittopage +portrait +imagescale +cliptobounds +setbasematrix +/Helvetica 10 sf +defaultGraphicsState +%%EndSetup + +0 0 0 RG +[ 1.00000 0 0 1.00000 0 0 ] defaultmatrix matrix concatmatrix setmatrix +cliprestore +1.00000 1.00000 1.00000 RG +newpath +0 0 m +500.000 0 l +500.000 500.000 l +0 500.000 l 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z7-DIHa|CJ!!4C(9$pST!NCd2KP;|f$U3W(!SoT)|g6L|2tyPe62)LFKOkPRrf&vnL z0fACLLg7jXIW0{^q^y!WRPF!90BWtSI~Mn=Qp04yz^et=8U{#_1;BqZ5&qL12*g1Z z{cAXkvA6&JGsAe7j*gC#?l2uZ=lf+wMwF*8_|;c>p;jg#US6EApp6)cSrcp_lX2q^ f4SfpZ^?$VonSv%!d`N%=6cm(T!1x_$hywi=2fius literal 0 HcmV?d00001 diff --git a/Grafiken/Q2.1.eps b/Grafiken/Q2.1.eps new file mode 100644 index 0000000..eff73a1 --- /dev/null +++ b/Grafiken/Q2.1.eps @@ -0,0 +1,1991 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 118 575 673 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 +%%For: +%%Title: +%%CreationDate: Sonntag, 26. Mai 2024, 09:32:05 Mitteleuropäische Sommerzeit +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +100 dict dup begin + +% +% File: org/freehep/graphicsio.ps/PSProlog.txt +% Author: Charles Loomis +% + +% Redefinitions which save some space in the output file. These are also +% the same as the PDF operators. +/q {gsave} def +/Q {grestore} def + +/n {newpath} def +/m {moveto} def +/l {lineto} def +/c {curveto} def +/h {closepath} def + +/re {4 -2 roll moveto + dup 0 exch rlineto exch 0 rlineto + neg 0 exch rlineto closepath} def + +/f {fill} def +/f* {eofill} def +/F {gsave vg&FC fill grestore} def +/F* {gsave vg&FC eofill grestore} def + +/s {closepath stroke} def +/S {stroke} def + +/b {closepath gsave vg&FC fill grestore + gsave stroke grestore newpath} def +/B {gsave vg&FC fill grestore gsave stroke grestore newpath} def +/b* {closepath gsave vg&FC eofill grestore + gsave stroke grestore newpath} def +/B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def + +/g {1 array astore /vg&fcolor exch def} def +/G {setgray} def +/k {4 array astore /vg&fcolor exch def} def +/K {setcmykcolor} def +/rg {3 array astore /vg&fcolor exch def} def +/RG {setrgbcolor} def + +% Initialize the fill color. +0 0 0 rg + +/vg&FC {mark vg&fcolor aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/vg&DFC {/vg&fcolor exch def} def + +/vg&C {mark exch aload pop + counttomark 1 eq {G} if + counttomark 3 eq {RG} if + counttomark 4 eq {K} if + cleartomark } def + +/w {setlinewidth} def +/j {setlinejoin} def +/J {setlinecap} def +/M {setmiterlimit} def +/d {setdash} def +/i {setflat} def + +/W {clip} def +/W* {eoclip} def + +% Setup the default graphics state. +% (black; 1 pt. linewidth; miter join; butt-ends; solid) +/defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def + +% Emulation of the rectangle operators for PostScript implementations +% which do not implement all Level 2 features. This is an INCOMPLETE +% emulation; only the "x y width height rect..." form is emulated. +/*rf {gsave newpath re fill grestore} def +/*rs {gsave newpath re stroke grestore} def +/*rc {newpath re clip} def +/rf /rectfill where {pop /rectfill}{/*rf} ifelse load def +/rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def +/rc /rectclip where {pop /rectclip}{/*rc} ifelse load def + +% Emulation of the selectfont operator. This includes a 20% increase in +% the fontsize which is necessary to get sizes similar to the Java fonts. +/*sf {exch findfont exch + dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def +/sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def + +% Special version of stroke which allows the dash pattern to continue +% across path segments. (This may be needed for PostScript although +% modern printers seem to do this correctly.) +/vg&stroke { + currentdash pop length 0 eq + {stroke} + { + currentdash /vg&doffset exch def pop + flattenpath + {m vg&resetdash} + {2 copy + currentpoint + 3 -1 roll sub dup mul + 3 1 roll sub dup mul + add sqrt + 3 1 roll l + currentdash 3 -1 roll add setdash} + {} + {h vg&resetdash} + pathforall + stroke + vg&resetdash + } ifelse +} def +/vg&resetdash {currentdash pop vg&doffset setdash} def + +% Initialize variables for safety. +/delta 0 def +/xv 0 def /yv 0 def /width 0 def /height 0 def + +% Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. +/pw 595 def /ph 791 def /po true def /ftp false def + +% Initialize margins to 20 points. +/ml 20 def /mr 20 def /mt 20 def /mb 20 def + +% Temporary matrices. +/smatrix 0 def /nmatrix 0 def + +% set page size (usage: setpagesize) +/setpagesize {/ph exch def /pw exch def} def + +% set page orientation (usage: portrait or landscape) +/portrait {/po true def} def +/landscape {/po false def} def + +% force natural size for image (usage: naturalsize) +/naturalsize {/ftp false def} def + +% resize image to fill page (usage: fittopage) +/fittopage {/ftp true def} def + +% set margins of the page (usage: setmargins) +/setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def + +% set the graphic's size (usage: setsize) +/setsize {/gh exch def /gw exch def} def + +% set the graphic's origin (usage: setorigin) +/setorigin {/gy exch def /gx exch def} def + +% calculate image center +/imagecenter {pw ml sub mr sub 2 div ml add + ph mt sub mb sub 2 div mb add} def + +% calculate the necessary scaling +/imagescale {po {gw}{gh} ifelse pw ml sub mr sub div + po {gh}{gw} ifelse ph mt sub mb sub div + 2 copy lt {exch} if pop + ftp not {1 2 copy lt {exch} if pop} if + 1 exch div /sfactor exch def + /gw gw sfactor mul def /gh gh sfactor mul def} def + +% calculate image origin +/imageorigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def + +% calculate the clipping origin +/cliporigin {pw ml sub mr sub 2 div ml add + po {gw}{gh} ifelse 2 div sub floor + ph mt sub mb sub 2 div mb add + po {gh}{gw} ifelse 2 div sub floor} def + +% Set the clipping region to the bounding box. +/cliptobounds {cliporigin po {gw}{gh} ifelse 1 add + po {gh}{gw} ifelse 1 add rc} def + +% set the base transformation matrix (usage: setbasematrix) +/setbasematrix {imageorigin translate + po {0}{90} ifelse rotate + sfactor sfactor neg scale + /defaultmatrix matrix currentmatrix def} def + +% The lower-right bias in drawing 1 pt. wide lines. +/bias {q 0.5 0.5 translate} def +/unbias {Q} def + +% Draw a line. (x0 y0 x1 y1 line) +/L {bias n m l S unbias} def + +% Polyline primitive. +/polyline {n m 1 exch 1 exch + {pop currentfile token pop currentfile token pop l} for + } def + +% Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) +/OPL {bias polyline S unbias} def + +% Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) +/CPL {bias polyline s unbias} def + +% Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) +/FPL {polyline h f*} def + +% Draw an oval. (x y w h OVL) +/OVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width currentlinewidth sub 2 div + height currentlinewidth sub 2 div neg + scale n 0 0 1 5 -2 roll arc + smatrix setmatrix S} def + +% Draw a filled oval. (x y w h FOVL) +/FOVL {matrix currentmatrix /smatrix exch def + /height exch def /width exch def + /yv exch def /xv exch def + width 2 div xv add height 2 div yv add translate + width 2 div + height 2 div neg + scale n 0 0 m 0 0 1 5 -2 roll arc + h smatrix setmatrix f} def + +% Draw a rounded rectangle. (x y w h arcwidth archeight RREC) +/RREC {matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + s} def + +% Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) +/FRREC{matrix currentmatrix /smatrix exch def + 2 div /ah exch def + 2 div /aw exch def + /height exch def /width exch def + /yv exch def /xv exch def + aw ah scale matrix + currentmatrix /nmatrix exch def + smatrix setmatrix + n xv width add aw sub yv m + nmatrix setmatrix + currentpoint exch 1 add exch + currentpoint 1 add exch 1 add exch + 1 arct smatrix setmatrix + xv width add yv height add ah sub l + nmatrix setmatrix + currentpoint 1 add + currentpoint exch 1 sub exch 1 add + 1 arct smatrix setmatrix + xv aw add yv height add l + nmatrix setmatrix + currentpoint exch 1 sub exch + currentpoint exch 1 sub exch 1 sub + 1 arct smatrix setmatrix + xv yv ah add l + nmatrix setmatrix + currentpoint 1 sub + currentpoint exch 1 add exch 1 sub + 1 arct smatrix setmatrix + h f} def + +% Draw a string. (string x y STR) +/STR {q m 1 -1 scale recshow Q} def + +% Define basic plot symbols. +/xys {/siz exch def /yv exch def /xv exch def} def +/hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def +/vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def +/plus {xys n xv yv siz 2. div sub m 0 siz rlineto + xv siz 2. div sub yv m siz 0 rlineto S} def +/dot {n 2. div 0 360 arc s} def +/fdot {n 2. div 0 360 arc h f} def +/box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rs} def +/fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub + siz 2 sqrt div dup rf} def +/tridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto s} def +/ftridn{xys n xv yv siz 3 sqrt div add m + siz 2. div neg 3 sqrt 2. div siz mul neg rlineto + siz 0 rlineto h f} def + +% Symbols defined in terms of the others. +/star {3 copy cross plus} def +/cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def +/diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def +/fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def +/triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def +/ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def + +% Define the composite fonts used to print Unicode strings. +% Undefine particular values in an encoding array. +/vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def +/vg&redef { {3 -1 roll dup 4 2 roll put} forall } def + +% usage: key encoding basefontname vg&newbasefont font +/vg&newbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + currentdict + end +definefont +} def + +% usage: key encoding basefontname vg&newskewedbasefont font +/vg&newskewedbasefont { +findfont dup length dict copy + begin + currentdict /FID undef + /Encoding exch def + dup /FontName exch def + exch FontMatrix exch matrix concatmatrix /FontMatrix exch def + currentdict + end +definefont +} def + +% usage: basekey suffix vg&nconcat name +/vg&nconcat { + 2 {dup length string cvs exch} repeat + dup length 3 -1 roll dup length 3 -1 roll add string + dup 0 4 -1 roll dup length 5 1 roll putinterval + dup 4 -2 roll exch putinterval cvn +} def + +%usage: fontname vg&skewmatrix matrix +/vg&skewmatrix { +findfont dup /FontInfo known + { + /FontInfo get dup /ItalicAngle known + { + [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] + } + {pop matrix} ifelse + } + {pop matrix} ifelse +} def + +% usage: newfontname basefontname vg&newcompositefont -- +/vg&newcompositefont { +/vg&fstyle exch def +/vg&bfont exch def +/vg&fname exch def +<< +/FontStyleBits vg&fstyle +/FontType 0 +/FontMatrix matrix +/FontName vg&fname +/FMapType 2 +/Encoding [ 0 1 255 {pop 6} for ] + dup 16#00 0 put % Latin + dup 16#03 1 put % Greek + dup 16#20 2 put % Punctuation + dup 16#21 3 put % Arrows + dup 16#22 4 put % MathOps + dup 16#27 5 put % Dingbats + +/FDepVector [ +vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding +vg&bfont vg&newbasefont + +vg&bfont vg&skewmatrix +vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding +/Symbol vg&newskewedbasefont + +vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding +vg&bfont vg&newbasefont + +/Arrows-UC findfont +/MathOps-UC findfont +/Dingbats-UC findfont +/Undefined-UC findfont ] +>> +vg&fname exch definefont pop +} def + +% Null encoding vector (all elements set to .notdef) +/NullEncoding [ 256 {/.notdef} repeat ] def + +% Unicode Latin encoding (unicode codes \u0000-\u00ff) +/UCLatinEncoding + ISOLatin1Encoding dup length array copy + dup 16#60 /grave put + [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 + 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f + ] vg&undef + def + +% Unicode Greek encoding (unicode codes \u0370-\u03ff) +/UCGreekEncoding + NullEncoding dup length array copy + << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta + 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta + 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu + 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi + 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon + 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega + 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta + 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta + 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu + 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi + 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau + 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi + 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 + 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 + >> vg&redef + def + +% Unicode punctuation encoding (unicode codes \u2000-\u206f) +/UCPunctuationEncoding + NullEncoding dup length array copy + << 16#10 /hyphen 16#11 /hyphen 16#12 /endash + 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright + 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft + 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl + 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet + 16#24 /period 16#26 /ellipsis 16#27 /periodcentered + 16#30 /perthousand 16#44 /fraction + 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior + 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior + 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior + 16#7e /parenrightsuperior + 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior + 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior + 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior + 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior + 16#8e /parenrightinferior + >> vg&redef + def + +% Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) +/UCMathOpsEncoding + NullEncoding dup length array copy + << 16#00 /universal 16#02 /partialdiff 16#03 /existential + 16#05 /emptyset 16#06 /Delta 16#07 /gradient + 16#08 /element 16#09 /notelement 16#0b /suchthat + 16#0f /product 16#11 /summation 16#12 /minus + 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet + 16#1a /radical 16#1d /proportional 16#1e /infinity + 16#20 /angle 16#23 /bar 16#27 /logicaland + 16#28 /logicalor 16#29 /intersection 16#2a /union + 16#2b /integral 16#34 /therefore 16#36 /colon + 16#3c /similar 16#45 /congruent 16#48 /approxequal + 16#60 /notequal 16#61 /equivalence 16#64 /lessequal + 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset + 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus + 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential + 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection + 16#c3 /union 16#c4 /diamond 16#c5 /dotmath + >> vg&redef + def + +% Unicode arrows encoding (unicode codes \u2190-\u21ff) +% Also includes those "Letterlike" unicode characters +% which are available in the symbol font. (unicode codes \u2100-\u214f) +/UCArrowsEncoding + NullEncoding dup length array copy + << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif + 16#35 /aleph + 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright + 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft + 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown + 16#d4 /arrowdblboth + >> vg&redef + def + +/ZapfDingbats findfont /Encoding get +dup length array copy /UCDingbatsEncoding exch def +16#20 1 16#7f { + dup 16#20 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +16#a0 1 16#ff { + dup 16#40 sub exch + UCDingbatsEncoding exch get + UCDingbatsEncoding 3 1 roll put +} for +UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef +[ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f + 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 + 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf +] vg&undef pop + +% Define the base fonts which don't change. +/Undefined-UC NullEncoding /Helvetica vg&newbasefont pop +/MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop +/Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop +/Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop + +% Make the SansSerif composite fonts. +/SansSerif /Helvetica 16#00 vg&newcompositefont +/SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Serif composite fonts. +/Serif /Times-Roman 16#00 vg&newcompositefont +/Serif-Bold /Times-Bold 16#01 vg&newcompositefont +/Serif-Italic /Times-Italic 16#02 vg&newcompositefont +/Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont + +% Make the Monospaced composite fonts. +/Monospaced /Courier 16#00 vg&newcompositefont +/Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont +/Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + +% Make the Dialog composite fonts. +/Dialog /Helvetica 16#00 vg&newcompositefont +/Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the DialogInput composite fonts. +/DialogInput /Helvetica 16#00 vg&newcompositefont +/DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont + +% Make the Typewriter composite fonts (JDK 1.1 only). +/Typewriter /Courier 16#00 vg&newcompositefont +/Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont +/Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont +/Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont + + +/cfontH { + dup /fontsize exch def /SansSerif exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHB { + dup /fontsize exch def /SansSerif-Bold exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHI { + dup /fontsize exch def /SansSerif-Italic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def +/cfontHBI { + dup /fontsize exch def /SansSerif-BoldItalic exch sf + /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def +} def + +/cfontT { + dup /fontsize exch def /Serif exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTB { + dup /fontsize exch def /Serif-Bold exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTI { + dup /fontsize exch def /Serif-Italic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def +/cfontTBI { + dup /fontsize exch def /Serif-BoldItalic exch sf + /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def +} def + +/cfontC { + dup /fontsize exch def /Typewriter exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCB { + dup /fontsize exch def /Typewriter-Bold exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCI { + dup /fontsize exch def /Typewriter-Italic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def +/cfontCBI { + dup /fontsize exch def /Typewriter-BoldItalic exch sf + /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def +} def + +% Darken or lighten the current color. +/darken {0.7 exch exp 3 copy + q 4 -1 roll vg&C + currentrgbcolor 3 {4 -2 roll mul} repeat + 3 array astore Q} def + +/displayColorMap +<< /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] + /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] + /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] + /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/printColorMap +<< /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] + /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] + /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] + /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] + /Cw [1 ] /Cgrl [0.75] + /Cgr [0.50] /Cgrd [0.25] + /Ck [0 ] + /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] + /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] + /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] + /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] + /CGw [1 ] /CGgrl [0.75] + /CGgr [0.50] /CGgrd [0.25] + /CGk [0 ] + /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] + /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] + /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] + /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] + /CIw [1 ] /CIgrl [0.75] + /CIgr [0.50] /CIgrd [0.25] + /CIk [0 ] +>> def + +/grayColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [0.75] /CGg [1 ] + /CGb [0.50] /CGc [0.75] + /CGm [0.50] /CGy [1 ] + /CGo [0.75] /CGp [1 ] + /CGw [0 ] /CGgrl [0.25] + /CGgr [0.50] /CGgrd [0.75] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +/bwColorMap +<< /Cr [0 ] /Cg [0 ] + /Cb [0 ] /Cc [0 ] + /Cm [0 ] /Cy [0 ] + /Co [0 ] /Cp [0 ] + /Cw [0 ] /Cgrl [0 ] + /Cgr [0 ] /Cgrd [0 ] + /Ck [0 ] + /CGr [1 ] /CGg [1 ] + /CGb [1 ] /CGc [1 ] + /CGm [1 ] /CGy [1 ] + /CGo [1 ] /CGp [1 ] + /CGw [0 ] /CGgrl [1 ] + /CGgr [1 ] /CGgrd [1 ] + /CGk [1 ] + /CIr [1 ] /CIg [1 ] + /CIb [1 ] /CIc [1 ] + /CIm [1 ] /CIy [1 ] + /CIo [1 ] /CIp [1 ] + /CIw [1 ] /CIgrl [1 ] + /CIgr [1 ] /CIgrd [1 ] + /CIk [1 ] +>> def + +% +% The following routines handle the alignment of and printing of +% tagged strings. +% + +% Predefine the bounding box values. +/bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def + +% This routine pops the first unicode character off of a string and returns +% the remainder of the string, the character code of first character, +% and a "true" if the string was non-zero length. +% popfirst +% popfirst +/popfirst { + dup length 1 gt + {dup 0 get /vg&fbyte exch def + dup 1 get /vg&cbyte exch def + dup length 2 sub 2 exch getinterval true} + {pop false} ifelse +} def + +% This routine shows a single unicode character given the font and +% character codes. +% unicharshow -- +/unicharshow { + 2 string + dup 0 5 -1 roll put + dup 1 4 -1 roll put + internalshow +} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and showing the string for recshow. +% internalshow -- +/internalshow {show} def + +% This is an internal routine to alternate between determining the +% bounding box for stringsize and stroking various ornaments. +% internalstroke -- +/internalstroke {S} def + +% Sets up internalshow to use the null device to determine string size. +% -- nullinternalshow -- +/nullinternalshow {/internalshow {false charpath flattenpath + pathbbox updatebbox} def} def + +% Sets up internalstroke to use the null device to determine string size. +% -- nullinternalstroke -- +/nullinternalstroke { + /internalstroke {flattenpath pathbbox updatebbox} def} def + +% This routine tests to see if the character code matches the first +% character of a string. +% testchar +/testchar {exch dup 3 -1 roll 0 get eq} def + +% Raise the text baseline for superscripts. +% -- raise -- +/raise { + 0 fontsize 2 div rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-raise the text baseline for superscripts. +% -- unraise -- +/unraise { + /fontsize fontsize 1.5 mul def + 0 fontsize 2 div neg rmoveto +} def + +% Lower the text baseline for subscripts. +% -- lower -- +/lower { + 0 fontsize 3 div neg rmoveto + /fontsize fontsize 2 mul 3 div def + currentfont /FontName get fontsize sf +} def + +% Un-lower the text baseline for subscripts. +% -- unlower -- +/unlower { + /fontsize fontsize 1.5 mul def + 0 fontsize 3 div rmoveto +} def + +% Compare the top two elements on the stack and leave only the +% larger one. +/maxval {2 copy gt {pop} {exch pop} ifelse} def + +% Tokenize a string. Do not use the usual PostScript token because +% parentheses will not be interpreted correctly because of rescanning +% of the string. +/vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def +0 2 vg&string length 2 sub { + dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or + dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse + /vg&level exch vg&level add def + vg&level 0 eq {/vg&index exch def exit} if pop +} for +vg&index 0 ge { + vg&string vg&index 2 add dup vg&string length exch sub getinterval + vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse + true} +{false} ifelse +} bind def + +% Recursively show an unicode string. +% recshow -- +/recshow { + popfirst + { + % Test to see if this is a string attribute. + vg&fbyte 16#f0 and 16#e0 eq + { + q + + % Font style. + currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse + vg&cbyte or vg&fontstyles exch get fontsize exch exec + + vg&token pop recshow currentpoint Q m recshow + } + { + vg&fbyte 16#F8 and 16#F0 eq { + + % Superscript and/or subscript. + vg&cbyte 16#00 eq { + vg&token pop exch vg&token pop 3 -1 roll + q raise recshow unraise currentpoint pop Q exch + q lower recshow unlower currentpoint pop Q + maxval currentpoint exch pop m recshow } if + + % Strikeout. + vg&cbyte 16#01 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll fontsize 3 div add moveto + fontsize 3 div add lineto internalstroke Q + recshow} if + + % Underline. + vg&cbyte 16#02 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dashed underline. + vg&cbyte 16#03 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Dotted underline. + vg&cbyte 16#04 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 1 J [ 0 vg&uthick 3 mul] 0 d + vg&underline vg&uthick w + currentpoint 4 -2 roll vg&uoffset add moveto + vg&uoffset add lineto internalstroke Q + recshow} if + + % Thick underline. + vg&cbyte 16#05 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Gray thick underline. + vg&cbyte 16#06 eq { + vg&token pop currentpoint 3 -1 roll recshow + q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray + currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto + vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q + recshow} if + + % Overbar. + vg&cbyte 16#07 eq { + vg&token pop dup stringsize relative 4 1 roll pop pop exch + 3 -1 roll recshow + q 0 J vg&underline vg&uthick w + vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q + recshow} if + } + { + vg&fbyte vg&cbyte unicharshow recshow + } ifelse + } ifelse + } if +} def + +% Get the underline position and thickness from the current font. +/vg&underline { + +currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if +dup dup /FontInfo known { + /FontInfo get dup + dup /UnderlinePosition known { + /UnderlinePosition get /vg&uoffset exch def + } + { + pop /vg&uoffset 0 def + } ifelse + dup /UnderlineThickness known { + /UnderlineThickness get /vg&uthick exch def + } + { + pop /vg&uthick 0 def + } ifelse +} +{ + pop /vg&uoffset 0 def /vg&uthick 0 def +} ifelse +/FontMatrix get +currentfont dup /FontType get 0 eq +{/FontMatrix get matrix concatmatrix}{pop} ifelse +dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop +0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop +} def + +% Make a frame with the coordinates on the stack. +% frame -- +/frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def + +% Resets the accumulated bounding box to a degenerate box at the +% current point. +% -- resetbbox -- +/resetbbox { + currentpoint 2 copy + /bbury exch def + /bburx exch def + /bblly exch def + /bbllx exch def +} def + +% Update the accumulated bounding box. +% updatebbox -- +/updatebbox { + dup bbury gt {/bbury exch def} {pop} ifelse + dup bburx gt {/bburx exch def} {pop} ifelse + dup bblly lt {/bblly exch def} {pop} ifelse + dup bbllx lt {/bbllx exch def} {pop} ifelse +} def + +% Set the bounding box to the values on the stack. +% updatebbox -- +/restorebbox { + /bbury exch def /bburx exch def /bblly exch def /bbllx exch def +} def + +% Push the accumulated bounding box onto the stack. +% -- pushbbox +/pushbbox {bbllx bblly bburx bbury} def + +% Make the relative bounding box relative to the currentpoint. +% inflate +/inflate { + 2 {fontsize 0.2 mul add 4 1 roll} repeat + 2 {fontsize 0.2 mul sub 4 1 roll} repeat +} def + +% Make the relative bounding box relative to the currentpoint. +% relative +/relative { + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll + currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll +} def + +% Returns the size of a string appropriate for recshow. +% stringsize +/stringsize { + pushbbox /internalshow load /internalstroke load 7 -1 roll + q + nulldevice 0 0 m + nullinternalshow nullinternalstroke + resetbbox + recshow + /internalstroke exch def /internalshow exch def + pushbbox 8 -4 roll restorebbox + Q +} def + +% Calculate values for string positioning. +/calcval {4 copy + 3 -1 roll sub /widy exch def sub neg /widx exch def + pop pop /dy exch def /dx exch def} def + +% Utilities to position a string. +% First letter (U=upper, C=center, B=baseline, L=lower) +% Second letter (L=left, C=center, R=right) +/align [ +{calcval dx neg widy dy add neg rmoveto} % UL +{calcval dx neg widy 2 div dy add neg rmoveto} % CL +{calcval dx neg 0 rmoveto} % BL +{calcval dx neg dy neg rmoveto} % LL +{calcval widx dx add neg widy dy add neg rmoveto} % UR +{calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR +{calcval widx dx add neg 0 rmoveto} % BR +{calcval widx dx add neg dy neg rmoveto} % LR +{calcval widx 2 div dx add neg widy dy add neg rmoveto} % UC +{calcval widx 2 div dx add neg widy 2 div dy add neg rmoveto} % CC +{calcval widx 2 div dx add neg 0 rmoveto} % BC +{calcval widx 2 div dx add neg dy neg rmoveto} % LC +] def + +/vg&str {m q 1 -1 scale dup stringsize 4 copy align 11 -1 roll get exec + q inflate relative frame exch exec Q recshow Q} def + +end /procDict exch def +%%EndProlog + +%%BeginSetup +save +procDict begin +printColorMap begin +595 791 setpagesize +20 20 20 20 setmargins +0 0 setorigin +500 500 setsize +fittopage +portrait +imagescale +cliptobounds +setbasematrix +/Helvetica 10 sf +defaultGraphicsState +%%EndSetup + +0 0 0 RG +[ 1.00000 0 0 1.00000 0 0 ] defaultmatrix matrix concatmatrix setmatrix +cliprestore +1.00000 1.00000 1.00000 RG +newpath +0 0 m +500.000 0 l +500.000 500.000 l +0 500.000 l 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a/Q1_1.tex b/Q1_1.tex new file mode 100644 index 0000000..deecd87 --- /dev/null +++ b/Q1_1.tex @@ -0,0 +1,84 @@ +\section*{Aufgabe 1} + +Welche der folgenden Intervalle sind im Bereich der Funktion $\sqrt{2 x-x^3}$ enthalten? Wählen Sie alle zutreffenden Antworten aus $\ldots$ + + + \begin{itemize} + \item $\mathbf{[0, \sqrt{2}]}$ + \item $[\sqrt{2},+\infty)$ + \item $[-\sqrt{2}, 0]$ + \item $\mathbf{(-\infty,-\sqrt{2}]}$ + \end{itemize} + +\subsection*{Bestimmen des Definitionsbereiches} + +\begin{flalign*} +f(x) &= \sqrt{2 x-x^3}\\ +\sqrt{2 x-x^3} & \geq 0\qquad \vert ^2 \\ +2x-x^3 & \geq 0\qquad| x\text{ ausklammern}\\ +x\left(2-x^2\right) & \geq 0\\ +x_1 & \geq 0\\ +2-x^2 & \geq 0 \qquad \vert -2\\ +-x^2 & \geq -2 \qquad \vert \div (-1)\\ +x^2 & \leq 2 \qquad \vert \sqrt{ }\\ +x_2 & \leq \sqrt{2}\\ +x_3 & \leq -\sqrt{2} +\end{flalign*} + +Damit ergeben sich die folgenden Intervalle: +\begin{itemize} + \item $(-\infty,-\sqrt{2}]$ + \item $[0,\sqrt{2}]$ +\end{itemize} + + +\subsection*{Bestimmen der Nullstellen} +\begin{flalign*} +x\left(2-x^2\right) & = 0\\ +x_1 &= 0\\ +2-x^2 & = 0 \qquad \vert -2\\ +-x^2 & = -2 \qquad \vert \div (-1)\\ +x^2 & = 2 \qquad \vert \sqrt{ }\\ +x_2 & = \sqrt{2}\\ +x_3 & = -\sqrt{2} +\end{flalign*} + +\vspace{2pt} +\begin{figure}[ht] + \centering +\begin{tikzpicture} + \begin{axis}[ + domain=-4:3, % Bereich, in dem die Funktion definiert ist + samples=1000, % Anzahl der Abtastpunkte + xlabel={$x$}, + ylabel={$y$}, + axis lines=middle, + xtick={-4,-3,-1.414, 0, 1, 1.414,3}, + xticklabels={-4,-3,-$\sqrt{2}$, 0, 1, $\sqrt{2}$,3}, + ytick={0, 1,2,3}, + ymin=-0.1, ymax=3.5, + xmin=-4, xmax=3, + legend pos=outer north east, + %grid=both, + %major grid style={line width=.2pt,draw=gray!50}, + %minor grid style={line width=.1pt,draw=gray!50}, + ] + \addplot [ + domain=0:1.414, + samples=500, + thick, + red, + ] {sqrt(2*x - x^3)}; + \addplot [ + domain=-4:-1, + samples=500, + thick, + red, + ] {sqrt(2*x - x^3)}; + \addlegendentry{$\sqrt{2x - x^3}$} + \end{axis} +\end{tikzpicture} +% %\caption{} + \label{fig:q2} +\end{figure} + diff --git a/Q1_2.tex b/Q1_2.tex new file mode 100644 index 0000000..f97be65 --- /dev/null +++ b/Q1_2.tex @@ -0,0 +1,98 @@ +\section*{Aufgabe 2} +Welche der folgenden Intervalle sind im Bereich der Funktion $\frac{x-3}{x^2-4} \ln x$ enthalten? Wählen Sie alle zutreffenden Antworten aus... + +\begin{itemize} + \item $(2,+\infty)$ + \item $(-\infty,-2)$ + \item $(-2,0)$ + \item $(0,2)$ +\end{itemize} + +Untersuchung des Nenners (wann gibt es eine Division durch Null): +\begin{align*} + x^2-4=0 & \qquad \vert{} +4 \\ + x^2=4 & \qquad \vert{} \sqrt{\quad} \\ + x_1=-2 \\ + x_2=2 +\end{align*} + +Somit sind die Bereiche $(2,+\infty)$ und $(-\infty,-2)$ + +\textcolor{red}{\textbf{Dies stellt mich aber noch nicht zufrieden, das kann einfach nicht alles sein}} + +\textcolor{blue}{\textbf{Hier hatte ich im ersten Versuch den Fehler gemacht, das ich das $\ln x$ übersah}} + + +\begin{figure}[h] + \centering + + \begin{tikzpicture} + \begin{axis}[ + domain=0.1:4.9, % Bereich, in dem die Funktion definiert ist (z.B. nahe bei 0 und 2 ausgespart) + samples=100, % Anzahl der Abtastpunkte + xlabel={$x$}, + ylabel={$f(x)$}, + axis lines=middle, + xtick={0, 1, 2, 3, 4}, + ytick={-2, -1, 0, 1, 2}, + ymin=-2.5, ymax=2.5, + xmin=0, xmax=5, + legend pos=outer north east, + grid=both, + major grid style={line width=.2pt,draw=gray!50}, + minor grid style={line width=.1pt,draw=gray!50}, + restrict y to domain=-2.5:2.5, % Begrenze y-Werte für bessere Darstellung + ] + \addplot [ + domain=0.1:1.9999, + samples=500, + thick, + blue + ] {(x-3)/(x^2-4) * ln(x)}; + \addlegendentry{$\left(\frac{x-3}{x^2-4}\right) \ln(x)$} + + \addplot [ + domain=2.00001:5, + samples=500, + thick, + blue + ] {(x-3)/(x^2-4) * ln(x)}; + \end{axis} +\end{tikzpicture} +% \includegraphics[width=0.75\linewidth]{Grafiken/Q1_2.png} + %\caption{Enter Caption} + \label{fig:enter-label} +\end{figure} + + + +Um die Intervalle zu bestimmen, in denen die Funktion $h(x)=\left(\frac{x-3}{x^2-4}\right) \ln (x)$ definiert ist, muss man die Punkte betrachten, an denen die Funktion nicht definiert ist. Diese Punkte sind: + +\begin{enumerate} + \item Nullstellen des Nenners $x^2-4$ + \item Punkte, an denen der Logarithmus $\ln (x)$ nicht definiert ist (insbesondere $x \leq 0$ ) +\end{enumerate} + +\subsection{Nullstellen des Nenners} +\begin{flalign*} +x^2-4&=0 \\ +x^2&=4 \\ +x&= \pm 2 +\end{flalign*} + + +Die Funktion hat also Pole (nicht definierte Punkte) bei $x=2$ und $x=-2$. +2. Definitionsbereich des Logarithmus: +$\ln (x)$ ist nur für $x>0$ definiert. +Zusammenführung der Bedingungen: +- Der Nenner darf nicht null sein: $x \neq 2$ und $x \neq-2$. +- Der Logarithmus ist nur für $x>0$ definiert. + +Schlussfolgerung: +Die Funktion $h(x)=\left(\frac{x-3}{x^2-4}\right) \ln (x)$ ist definiert für $x>0$, ausgenommen $x=2$. Somit sind die Intervalle, in denen die Funktion definiert ist: +$$ +(0,2) \cup(2, \infty) +$$ + +Diese Intervalle umfassen alle Werte, für die der Ausdruck sowohl im Nenner als auch im Logarithmus definiert und nicht null ist. + diff --git a/Q1_3.tex b/Q1_3.tex new file mode 100644 index 0000000..9a6fd2d --- /dev/null +++ b/Q1_3.tex @@ -0,0 +1,71 @@ +\begin{itemize} +\item Was ist der Bereich der Funktion $\arcsin \frac{x-2}{3}$ ? +\begin{itemize} + \item $[-2,3]$ + \item \textcolor{red}{$[-1,5]$} + \item $[2-3 \pi, 2+3 \pi]$ + \item $[-2,2]$ + \item $\mathbb{R}=(-\infty,+\infty)$ + \item $\left[\frac{2}{3}, \frac{5}{3}\right]$ +\end{itemize} +\end{itemize} + + +%\begin{figure}[h] +% \centering +% \includegraphics[width=0.5\linewidth]%{Grafiken/A10.png} + %\caption{Enter Caption} + %\label{fig:enter-label} +%\end{figure} + +\begin{tikzpicture} + \begin{axis}[ + domain=-1:5, + samples=500, + axis lines*=middle, + xtick={-1,1,2,3,4,5}, ytick={-1.57,1.57}, + yticklabels={$-\pi$/2,$\pi$/2}] + \addplot[color = red] {asin((x-2)/3)/180*pi}; + \addlegendentry{$\arcsin\left(\frac{x-2}{3}\right)$} + \end{axis} +\end{tikzpicture} + + +Um den Wertebereich der Funktion $h(x)=\arcsin \left(\frac{x-2}{3}\right)$ zu bestimmen, müssen wir sicherstellen, dass der Ausdruck $\frac{x-2}{3}$ im Definitionsbereich der Arkussinusfunktion liegt. Die Arkussinusfunktion, $\arcsin (y)$, ist nur für $-1 \leq y \leq 1$ definiert und ihr Wertebereich ist $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ +1. Bedingung für den Argumentbereich von arcsin: +$$ +-1 \leq \frac{x-2}{3} \leq 1 +$$ +2. Lösen der Ungleichung: +Multiplizieren wir alle Teile der Ungleichung mit 3: +$$ +-3 \leq x-2 \leq 3 +$$ + +Addieren wir 2 zu allen Teilen der Ungleichung: +$$ +-1 \leq x \leq 5 +$$ + +Das bedeutet, dass $x$ im Intervall $[-1,5]$ liegen muss, damit der Ausdruck $\frac{x-2}{3}$ im Bereich $[-1,1]$ liegt und arcsin definiert ist. +3. Bestimmung des Wertebereichs: +Nun betrachten wir die Extremwerte des Ausdrucks $\frac{x-2}{3}$ : +- Für $x=-1$ : +$$ +\frac{-1-2}{3}=\frac{-3}{3}=-1 +$$ +- Für $x=5$ : +$$ +\frac{5-2}{3}=\frac{3}{3}=1 +$$ + +Die Funktion $\arcsin \left(\frac{x-2}{3}\right)$ nimmt also ihre Extremwerte bei $\arcsin (-1)$ und $\arcsin (1)$ an: +- $\arcsin (-1)=-\frac{\pi}{2}$ +- $\arcsin (1)=\frac{\pi}{2}$ + +Da die Arkussinusfunktion stetig und streng monoton ist, nimmt sie alle Werte zwischen diesen Extremwerten an. + +Der Wertebereich der Funktion $h(x)=\arcsin \left(\frac{x-2}{3}\right)$ ist daher: +$$ +\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] +$$ \ No newline at end of file diff --git a/Quiz1.tex b/Quiz1.tex new file mode 100644 index 0000000..22a20e4 --- /dev/null +++ b/Quiz1.tex @@ -0,0 +1,128 @@ + \chapter{Quiz Woche 1} + +%\input{Q1_1} +%\newpage +\input{Q1_2} +\newpage +\input{Q1_3} + + + + +\newpage +\begin{itemize} +\item Was ist der Bereich der Funktion $-x^2+1$ ? +\begin{itemize} + \item $(-\infty, 0]$ + \item $[1,+\infty)$ + \item $[0,1]$ + \item $[0,+\infty)$ + \item $(-\infty, 1]$ + \item $\mathbb{R}=(-\infty,+\infty)$ + \end{itemize} + \end{itemize} + +\begin{figure}[h] + \centering + \includegraphics[width=0.5\linewidth]{Grafiken/A11.png} + %\caption{Enter Caption} + \label{fig:enter-label} +\end{figure} + +$-x^2+1$ + +Nullstellen + +$-x^2+1=0$ + +$-x^2=-1$ + +$x^2=1$ + +$x_1=-1$ und $x_2=1$ + +Muss ich nun den Scheitelpunkt berechnen? \textcolor{red}{Ja} + +Hier gibt es verschiedene Wege: + +\begin{enumerate} + \item per Differentialrechnung + \begin{itemize} + \item Bilden der ersten Ableitung + $f(x)=-x^2+1 $ + + $f'(x)=-2x$ + \item $x=0$ setzen + + $-2x=0$ + + $x=0$ + + \item $y$ berechnen, $x$ in $f(x)$ einsetzen + $f(x)=-x^2+1 $ + + $f(0)=-0^2+1$ + + $f(0)=1$ + + + \end{itemize} + + \item per quadratischer Ergänzung + + + + +\end{enumerate} + +\newpage + + \begin{itemize} +\item Was ist der Bereich der Funktion $\ln \left(1+x^2\right)$ ? +\begin{itemize} + \item $[1,+\infty)$ +\item $\mathbb{R}=(-\infty,+\infty)$ +\item $(-\infty, 0]$ +\item $(-\infty, 1]$ +\item $[0,+\infty)$ +\item $[-1,+\infty)$ + \end{itemize} + \end{itemize} + +\begin{figure}[h] + \centering + \includegraphics[width=0.5\linewidth]{Grafiken/A12.png} + %\caption{Enter Caption} + \label{fig:enter-label} +\end{figure} + + + + \newpage + 6. Wie groß ist der Bereich der Funktion $\arctan \cos x$ (d.h. die Umkehrung der Tangensfunktion mit dem Parameter $\cos x) ?$ + $[0,+\infty)$ + $\mathbb{R}=(-\infty,+\infty)$ + $[-\pi, \pi]$ + $\left[-\frac{\pi}{4}, \frac{\pi}{4}\right]$ + $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ + $(-\infty, 0]$ + + +\newpage + + 7. Wenn $f(x)=4 x^3+1$ und $g(x)=\sqrt{x+3}$, berechnen Sie $(f \circ g)(x)$ und $(g \circ f)(x)$. + $(f \circ g)(x)=(g \circ f)(x)=\left(4 x^3+1\right) \sqrt{x+3}$ + $(f \circ g)(x)=(g \circ f)(x)=4 x^3+1+\sqrt{x+3}$ + $(f \circ g)(x)=4(x+3)^{3 / 2}+1$ und $(g \circ f)(x)=2 \sqrt{x^3+1}$ + $(f \circ g)(x)=2 \sqrt{x^3+1}$ und $(g \circ f)(x)=4(x+3)^{3 / 2}+1$ + + +\newpage + + 8. Was ist die Umkehrung der Funktion $f(x)=e^{2 x}$ ? Wählen Sie alle, die richtig sind. + Die Exponentialfunktion ist ihre eigene Inverse, also $f^{-1}(x)=e^{2 x}$ + $f^{-1}(x)=\log _2 x$ + $f^{-1}(x)=\ln x^2$ + $f^{-1}(x)=\frac{1}{e^{2 x}}$ + $f^{-1}(x)=\frac{1}{2} \ln x$. + $f^{-1}(x)=\ln \sqrt{x}$ \ No newline at end of file