From ab82a74fde0ebab959eacf4f8c5c8f0da8ff2a40 Mon Sep 17 00:00:00 2001 From: pimjager Date: Thu, 16 Jun 2016 17:25:14 +0200 Subject: [PATCH] Finished 3 --- img/3.eps | 6165 +++++++++++++++++++++++++++++++++++++++++++++++ third.tex | 22 + uppaal/3.xml | 161 +- uppaal/3_v2.xml | 109 - 4 files changed, 6260 insertions(+), 197 deletions(-) create mode 100644 img/3.eps delete mode 100644 uppaal/3_v2.xml diff --git a/img/3.eps b/img/3.eps new file mode 100644 index 0000000..199d134 --- /dev/null +++ b/img/3.eps @@ -0,0 +1,6165 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 20 224 575 567 +%%Creator: FreeHEP Graphics2D Driver +%%Producer: org.freehep.graphicsio.ps.EPSGraphics2D Revision: 12753 +%%For: pimjager@167-013.wlan-int.ru.nl +%%Title: Vessel +%%CreationDate: Thursday, June 16, 2016 5:21:15 PM CEST +%%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 + +% 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 /Courier 16#00 vg&newcompositefont +/DialogInput-Bold /Courier-Bold 16#01 vg&newcompositefont +/DialogInput-Italic /Courier-Oblique 16#02 vg&newcompositefont +/DialogInput-BoldItalic /Courier-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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Show that unfortunately it may reach state \texttt{Overheating}. What is the chance this happens within 100 time units?} +Figure~\ref{fig:uppaal3} shows our \UPPAAL{} specification of the vessel and +rods. It is also included in \tt{3.xml}. +Here \tt{t, r1} and \tt{r2} are simple \tt{clock}s tracking the +temperature and idle times for rod1 and rod2. When querying for +\tt{Pr [<=100] (<> v.overheating)} \UPPAAL{} gives a probability interval of +$[0.0486043,0.148433]$ with a confidence of 0.95. The chance of overheating +in 100 time units thus lies between ±0\% and ±1\%. + +\begin{figure}[h] + \centering + \includegraphics[width=.8\linewidth]{3} + \label{fig:uppaal3} + \caption{Modeling vessel and rods in \UPPAAL{}} +\end{figure} + \subsection*{3.b} \emph{Someone forwards the idea that the fact that the \texttt{Overheating} state can be reached is due to rod2 cooling too well, and proposes to replace rod2 by a rod that is similar to rod1. What do you think of this idea?} + +At first this idea appears to make sense. If rod2 cools too well then rod1 does +not have time to recover when rod2 is done cooling. When we replace rod2 with a +rod which has the same cooling constant ($T'=0.1T − 11.2$) as rod1 in the model +then running the same query returns an interval of $[0,0.0973938]$, so chances +appear to have decreased a bit, but there still is a considerable chance of +overheating. \ No newline at end of file diff --git a/uppaal/3.xml b/uppaal/3.xml index 6824ba4..3351546 100644 --- a/uppaal/3.xml +++ b/uppaal/3.xml @@ -2,125 +2,110 @@ // Place global declarations here. -broadcast chan cool, inr[2], outr[2]; - + +clock r1, r2; +clock t; - // Place template instantiations here. // List one or more processes to be composed into a system. -r1 = Rod(0); -r2 = Rod(1); -system Tank, r1, r2; +v = Vessel(); +system v; - Pr [<=100] (<> Tank.overheating) + Pr [<=100] (<> v.overheating) + + + + + + simulate 5 [<=100] { t } diff --git a/uppaal/3_v2.xml b/uppaal/3_v2.xml deleted file mode 100644 index a49f41c..0000000 --- a/uppaal/3_v2.xml +++ /dev/null @@ -1,109 +0,0 @@ - - - - // Place global declarations here. - -clock r1, r2; -clock t; -clock time; - - // Place template instantiations here. -// List one or more processes to be composed into a system. -v = Vessel(); -system v; - - - - simulate 5 [<=50] { t } - - - - - - -- 2.20.1