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zDrV3S@X#1s5#lBkB0@xrzgDMw$ISQifeoOL3H$(7JdnL2jSyFPPy<4Pp@8KIHStP6 z1l-|Dg@=#-p{xS2`Fk&bfDXIC9q{l33Xw#d0^4-BEAt9tVUsrZsQsUJ@Dj~~=C&lFP9#kz& zgo`nalmPs?C`cv43mrfFRt8uJ$$U_#UWp0ESH6}v5~|xGp>F_x6JQ+)^a2oT_)Vwb zQ=kv@d^kaG+bd|}9@Ip#d4kpZ*COL>_kP_6oc^v2ID;#U^dg87SyxWJJhCVeH-wF{ z5U#EssR%*^Y@lxcfn&IYoJQ0azdHaDl}J92e3-^S7zns=-=m?fY!*272pS6=i3JSkU$IO#@K!Ja%i;W$ zkBfjejuCuZVC@?kp~56mTm|L|LU6bw83$*B;4p;(^c(Vmh2TKBSOJmo0dE_DzEF(2 zAL{Sx 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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C27.663,53.693,26.925,53.785,26.184,53.869z"/> +<path id="highlight_2_" opacity="0.17" fill="#FFFFFF" enable-background="new " d="M0,0.943h5.497c0,0,6.847-0.943,11.974-0.943 + C22.6,0,29.48,0.943,29.48,0.943h5.496v41.951c0,0-12.076-0.521-18.623-2.548C9.807,38.32,0,30.557,0,30.557V0.943z"/> +</svg> + + + + diff --git a/background/hardwaremodel.tex b/background/hardwaremodel.tex index 477f1f3..8c38c57 100644 --- a/background/hardwaremodel.tex +++ b/background/hardwaremodel.tex @@ -1,3 +1,7 @@ \section{Hardware Model} +The target architecture of the work in this thesis are \emph{heterogeneous shared-memory many-core computers}. There is no universally accepted definition of \emph{many-core} yet, but normally it is assumed to mean "more cores than multi-core", usually tens or hundreds of cores. Scientific workflows feature a very high-level and abstract view of the underlying hardware. The abstract part of a workflow specification should ideally be completely devoid of any hard-ware specific details. \emph{Atomic activities} are an abstract representation of any kind of computational work, and the corresponding activity implementations which make up the concrete part of a workflow specification are supposed to be interchangeable without any preference for a specific implementation or specific hardware. Therefore, in the context of this work we use a very relaxed definition of the term \emph{many-cores} and assume it refers to a single computer featuring tens or hundreds of computational resources which can independently process computational work. + + + diff --git a/background/workflowmodel.tex b/background/workflowmodel.tex index fa111b5..4f79647 100644 --- a/background/workflowmodel.tex +++ b/background/workflowmodel.tex @@ -1,47 +1,102 @@ -\section{Workflow Model} +\section{Workflow Model}\label{sec:workflowmodel} -The design and implementation of scientific workflows consists of two parts: an \emph{abstract part} and a \emph{concrete part}. We give a short overview of these two parts in the following subsections. +The design and implementation of a \emph{scientific workflow} consists of two parts: an \emph{abstract part} and a \emph{concrete part}. We give an overview of these two parts in the following subsections. -\begin{figure}{ht} +\subsection{Workflow Design: The Abstract Part} + +\begin{figure}[ht] \centering - \includegraphics[width=.5\textwidth]{./background/figures/workflow-abstractpart.pdf} + \includegraphics[width=.8\textwidth]{./background/figures/workflow-abstractpart.pdf} \caption{An abstract part of a scientific workflow.} \label{fig:dag} \end{figure} -\subsection{Workflow design: the abstract part} -The abstract part (see Figure~\ref{fig:dag}) of a scientific workflow specification comprises a hardware and middleware agnostic (and therefore easily portable) description of the workflow structure, the activities involved (identified by a unique name and a type), and the data and control flow dependencies between the activities. The individual activities are treated as black-boxes such that only the input and the output signatures are known. +The \emph{abstract part} of a scientific workflow specification comprises a hardware and middleware agnostic (and therefore easily portable) description of the workflow structure, the activities involved, and the data and control flow dependencies between the activities. The individual activities are treated as black-boxes such that only the input and the output signatures are known. -There are usually two different types of workflow activities: -\begin{enumerate} - \item \emph{Atomic activities} are basic indivisible computations units such as a legacy codes; - \item \emph{Composite activities} combine several fine granular workflow activities, including atomic and other composite ones, to form coarse granular activities and impose a control flow on the contained inner activities. -\end{enumerate} -Typical composite activities are sequential and parallel loops, conditional activities, and sub-workflows. +We define the structure of a Scientific Workflow $W$ as a \emph{Directed Acyclic Graph (DAG)} (see Figure~\ref{fig:dag}): +$W=(A, D, P_{in}, P_{out})$, where $A$ represents workflow activities, $D$ represents the dependencies between activities, $P_{in}$ represents the workflow's \emph{Data In-Ports} which define the input signature of the workflow, and $P_{out}$ represents the workflow's \emph{Data Out-Ports} which define the output signature of the workflow + +There are usually two different types of workflow activities $A$: + +An \emph{Atomic Activitity} $A_i=(N, P_{in}, P_{out}, T_A)$ is a basic indivisible unit of computational work which consists of an unique name $N$, data in-ports $P_{in}$, data out-ports $P_{out}$ and an \emph{Atomic Activitity Type} $T_A$. + +A \emph{Composite Activity} $A_j=(N, P_{in}, P_{out}, T_C, W_{Sub}, C)$ consists of an unique name $N$, \emph{Data In-Ports} $P_{in}$, \emph{Data Out-Ports} $P_{out}$ and a \emph{Composite Activitity Type} $T_C$, and contains one or more sub-workflows $W_{Sub}=(A_{Sub}, D_{Sub})$ with activities $A_{Sub}$ and dependencies $D_{Sub}$, onto which it imposes an activity type dependend control-flow. $C$ denotes activity type specific parameters, e.g. for a for-loop activity $C=(Start, Stop, Step)$ denotes the initial value, the stop condition value and the stride of the loop counter. Typical composite activity types are sequential and parallel loops, conditional activities, and sub-workflows. -\subsection{Workflow implementation: the concrete part} +A \emph{data dependency} $D_{ij}$ between workflow activities $A_i$ and $A_j$ is defined as: +\[D_{ij}=\left(P^i_{out_m}, P^j_{in_n}, Data_{ij}\right),\] where $Data_{ij}$ denotes the data exchanged between data out-port $P^i_{out_m}$ of activity $A_i$ and data in-port $P^j_{in_n}$ of activity $A_j$. + +A \emph{control-flow dependency} $D_{ij}$ between workflow activities $A_i$ and $A_j$ is defined as: +\[D_{ij}=\left(A_i, A_j\right),\] which imposes a constraint on $A_j$ so that it can only be executed after $A_j$ has finished execution. + + +\subsection{Workflow Implementation: The Concrete Part} + The concrete part of a workflow contains the hardware and middleware-dependent implementations of the atomic activities and their accompanying meta-information. This part is often highly specific to each individual workflow system and the underlying DCI. It usually contains information about the available activity implementations, locations where they are installed, how they can be executed, and any other further information indented to help the workflow engine in selecting the most appropriate activity implementation. +In our workflow model we define the implementation $W_{Impl}$ of a workflow as a mapping \[W_{Impl}: T_A \rightarrow (A_{Impl}, I_{Meta})\] from atomic activity types to one or more tuples consisting of an \emph{Atomic Activity Implementations} $A_{Impl}$, which is the actual executable code, and accompanying meta information $I_{Meta}$. The meta information contains information needed by the scheduler for selecting an appropriate actvitity implementation, and by the execution subsystem for executing the activity implementation. -\subsection{Workflow enactment} -A workflow engine executes a workflow instance (operation usually called \emph{workflow enactment}) by traversing the DAG representing the workflow structure, determining the state of the individual activities, transferring data from finished activities to their successors in the dependency graph, unrolling composite activities and replacing them with the resulting subgraph, and delegating the actual execution of atomic activities to the scheduling and execution subsystems. +\subsection{Workflow Management System} + +The software used for setting-up, managing, executing and monitoring workflows is called \emph{Workflow Management System} (WfMS). A WfMS usually covers all aspects of a workflow, from creating to execution, and consists of several components. + +\begin{figure}[ht] + \centering + \includegraphics[width=\textwidth,keepaspectratio=true]{./background/figures/workflow-managementsystem.pdf} + \caption{Architecture of a Scientific Workflow Management System.} + \label{fig:background-wfms} +\end{figure} + +Figure \ref{fig:background-wfms} shows the architecture of a typical scientific WfMS for Grid and Cloud computing. It consists of the following core components: + +\begin{description} + \item[Engine:] Responsible for executing the abstract part of a workflow, also called \emph{Workflow Enactment} (see Section \ref{sec:background-workflowenactment}). + \item[Scheduler:] Responsible for mapping atomic activities to computing resources and selecting an approbriate activity implementation, also called \emph{Workflow Scheduling} (see Section \ref{sec:background-workflowscheduling}). + \item[Execution Layer:] Keeps track of the available computing resources, manages the actual execution of activity implementations, and provides a unified interface for the scheduler and the individual execution sub-systems representing different hardware and middleware. +\end{description} + +Furthermore, a WfMS may also contain following optional components: + +\begin{description} + \item[User Interface:] Interface which allows a user to interact with the workflow systems to, for example, create a workflow, start it, monitor its execution and retrieve the final results. + \item[Prediction Service:] Predicts execution and data transfer times to aid the scheduler with scheduling the workflow. Some scheduling algorithms only work when a reliable prediction service is present. + \item[Monitoring/Logging Service:] Collects log messages and other information and presents them to the user, writes it into a log file or a data base for future use by e.g. the scheduler. +\end{description} + + +\subsection{Workflow Enactment}\label{sec:background-workflowenactment} + +A workflow engine executes a workflow instance (operation usually called \emph{Workflow Enactment}) by traversing the DAG representing the workflow structure, determining the state of the individual activities, transferring data from finished activities to their successors in the dependency graph, unrolling composite activities and replacing them with the resulting subgraph, and delegating the actual execution of atomic activities to the scheduling and execution subsystems. We call the resulting DAG where composite activities have been replaced with their contained subgraphs enriched with additional state information a \emph{Workflow Execution Plan} (WEP). We distinguish between two types of workflow enactment modes: \begin{itemize} \item In \emph{early enactment mode} the engine re-evaluates the WEP as soon as there are activity state changes, and tries to complete it as early as possible. This mode usually comes with a much higher overhead, but results in a more complete WEP comprising more information, which allows the scheduler to better plan the workflow execution on the underlying resources; - \item In \emph{late enactment mode} (also called \emph{lazy evaluation mode}) the engine only re-evaluates and completes the WEP when it is absolutely necessary for the workflow enactment, and only partially completes it as far as it is required for continuing the enactment. + \item In \emph{late enactment mode} (also called \emph{lazy evaluation mode}) the engine only re-evaluates and completes the WEP when it is absolutely necessary for the workflow enactment, and only partially completes it as far as it is required for continuing the enactment. This mode has less overhead, but also results in a less complete WEP with less information available for the scheduler to plan the workflow execution. \end{itemize} -\subsection{Workflow scheduling} -Scheduling describes the process of mapping atomic activities to available computing resources where they are executed. A concrete mapping of activities to computing resources is called \emph{workflow schedule}. The scheduler usually tries to optimize the schedule by maximising or minimizing a given utility function, typically the overall execution time. -To be able to produce an optimal mapping the scheduler need to know the resource requirements of an individual activity in advance. We assume in this paper that the scheduler has accurate knowledge of the resources required by an individual activity, but in practice obtaining this knowledge is still a steep challenge. +\subsection{Workflow Scheduling}\label{sec:background-workflowscheduling} + +Scheduling describes the process of mapping atomic activities $A=\left(A_1, A_2, ..., A_m\right)$ to available computing resources $R=\left(R_1, R_2, ..., R_n\right)$ where they are executed. +The resulting mapping \[S: A \rightarrow R,\] is called \emph{workflow schedule}. +The scheduler usually tries to optimize the workflow schedule by maximising or minimizing a given utility function, typically the overall execution time. Some scheduler implementations take more than one objective into account, some of which may conflict with other objectives. This is called \emph{multi-objective optimization}. + +To be able to produce an optimal mapping the scheduler need to know the resource requirements of an individual activity in advance. In this thesis we assume that the scheduler gets accurate knowledge of the resources required by an individual activity on a specific computing ressource from a third-party \emph{prediction service} we tread as black-box in the following. In practice obtaining this knowledge is still a steep challenge and subject to ongoing research. Existing scheduling algorithms can be broadly divided into two categories~\cite{Wieczorek2009}: \begin{itemize} \item \emph{Just-in-time scheduling algorithms} only consider the next activities to be scheduled when deciding on a mapping and ignore the rest of the WEP. They are usually linear in complexity with the number of activities (i.e. $O(N)$) and come with a low overhead, but due to limited information the generated schedule may not be that good; \item \emph{Full-ahead scheduling algorithms} use the entire WEP when deciding on a mapping and try to find an optimal schedule in the search space. They usually come with a much higher overhead, but consider more workflow information and therefore, produce in general better results. Generating a full-ahead schedule is an NP-hard problem~\cite{ullman1975np} and therefore, most existing full-ahead scheduling algorithms are approximate heuristic algorithms~\cite{heft02}. \end{itemize} + + +\subsection{Parallelism in Workflows} + +The most predominant form of parallelism found in scientific workflows is \emph{task parallelism} which means that different independent computational tasks operating on the same or different data are executed at the same time on different computing resources. On a conceptual level a scientific workflow is basically a collection of tasks with dependency relationships between them. The dependency relationships determine which tasks can be executed in parallel, and the scheduler distributes the tasks among the available computing resources so that a pre-set scheduling goal is satisfied. + +Other forms of parallelism like e.g. data parallelism can exist in workflows but are usually hidden away in atomic activity implementations which are considered black-boxes. A scientific workflow system can account for that fact by assuming that an atomic activity implementation may need more than one resource for execution. + + + diff --git a/biblio.bib b/biblio.bib index 8c3eff7..0c7b329 100644 --- a/biblio.bib +++ b/biblio.bib @@ -185,3 +185,40 @@ Publisher = {IEEE} } + +@Article{bacon1994compiler, + title={Compiler transformations for high-performance computing}, + author={Bacon, David F and Graham, Susan L and Sharp, Oliver J}, + journal={ACM Computing Surveys (CSUR)}, + volume={26}, + number={4}, + pages={345--420}, + year={1994}, + publisher={ACM} +} + + +@article{cotton2003rams, + title={RAMS 2001: Current status and future directions}, + author={Cotton, William R and Pielke Sr, RA and Walko, RL and Liston, GE and Tremback, CJ and Jiang, H and McAnelly, RL and Harrington, JY and Nicholls, ME and Carrio, GG and others}, + journal={Meteorology and Atmospheric Physics}, + volume={82}, + number={1}, + pages={5--29}, + year={2003}, + publisher={Springer} +} + + +@article{altschul1990basic, + title={Basic local alignment search tool}, + author={Altschul, Stephen F and Gish, Warren and Miller, Webb and Myers, Eugene W and Lipman, David J}, + journal={Journal of molecular biology}, + volume={215}, + number={3}, + pages={403--410}, + year={1990}, + publisher={Elsevier} +} + + diff --git a/mwre/figures/Montage-experiments1.pdf b/mwre/figures/Montage-experiments1.pdf new file mode 100755 index 0000000000000000000000000000000000000000..2d9aca63a2a9489a866d656a7db92182b838890e GIT binary patch literal 8246 zcmb_B2|SeR*WIEt3W>;)m+Ug{Y=)UEnX#LZE&Ddi48t%QV~Z$U*+R6CC0ir3C?X*# zTYDmFC_;-;5^d^xM|E%a-v96aec$hQ$8Y9+p0hpYIp;i&bIz+|ZDgW}gloZ+I%hIU zU|IkIV0rt)bag=zEy$PS2VfzHEoj1Ea%gM-G+|OWG$Wc1i%QeihlOz1G)f>WB7el? zR+d}+`jN47ml_A05zz)mcYBv-SyWONzwCREMW-$v8BezTxFnOg;zmrw;n#zqjPCfY zEBMS-@ZI?Qvhs+t*3!h-Qr(v)<+b`>qmUX)Q88{Lfl9x|p_v*B#zmz7@j3q#viha> zAD8Be(I1~R!5AZ(CXSeMIZqLp)YCU($mYg*$yPQE7pwf9ZgDBtZSzr=@yg5xzwIs| 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We used the GNU \texttt{gcc} compiler version 4.9.1 to compile the generated workflow programs with the \texttt{-O3} optimization flag. @@ -12,9 +12,9 @@ We used the HEFT~\cite{heft02} scheduling algorithm in all experiments unless ot \begin{figure*}[t] \centering - \subfloat[Original workflow.]{\includegraphics[height=4cm]{./figures/Raincloud-experiments1.pdf}\label{fig:raincloud-structure1}}\qquad - \subfloat[After loop unswitching.]{\includegraphics[height=4cm]{./figures/Raincloud-experiments2.pdf}\label{fig:raincloud-structure2}}\qquad - \subfloat[After loop unswitching and loop unrolling.]{\includegraphics[height=4cm]{./figures/Raincloud-experiments3.pdf}\label{fig:raincloud-structure3}} + \subfloat[Original workflow.]{\includegraphics[height=4cm]{./workflowtransformations/figures/Raincloud-experiments1.pdf}\label{fig:raincloud-structure1}}\qquad + \subfloat[After loop unswitching.]{\includegraphics[height=4cm]{./workflowtransformations/figures/Raincloud-experiments2.pdf}\label{fig:raincloud-structure2}}\qquad + \subfloat[After loop unswitching and loop unrolling.]{\includegraphics[height=4cm]{./workflowtransformations/figures/Raincloud-experiments3.pdf}\label{fig:raincloud-structure3}} \caption{RainCloud workflow.} \label{fig:raincloud-structure} \end{figure*} @@ -28,12 +28,12 @@ To enable loop unrolling, we exchanged \texttt{parallel foreach} with a \texttt{ \begin{figure*}[t] \centering - \subfloat[Early evaluation enactment.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-EnactmentTimeEarly.pdf}\label{fig:raincloud-results-enactment-early}} - \subfloat[Late evaluation enactment.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-EnactmentTimeLate.pdf}\label{fig:raincloud-results-enactment-late}} - \subfloat[WEP length.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-NodeCountLate.pdf}\label{fig:raincloud-results-nodecount}}\\ - \subfloat[Early evaluation WEP visitation.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-VisitationCountEarly.pdf}\label{fig:raincloud-results-visitations-early}} - \subfloat[Late evaluation WEP visitation.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-VisitationCountLate.pdf}\label{fig:raincloud-results-visitations-late}} - \subfloat[Memory usage.]{\includegraphics[width=.33\textwidth]{./figures/raincloud-MemoryLate.pdf}\label{fig:raincloud-results-memory}} + \subfloat[Early evaluation enactment.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-EnactmentTimeEarly.pdf}\label{fig:raincloud-results-enactment-early}} + \subfloat[Late evaluation enactment.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-EnactmentTimeLate.pdf}\label{fig:raincloud-results-enactment-late}} + \subfloat[WEP length.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-NodeCountLate.pdf}\label{fig:raincloud-results-nodecount}}\\ + \subfloat[Early evaluation WEP visitation.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-VisitationCountEarly.pdf}\label{fig:raincloud-results-visitations-early}} + \subfloat[Late evaluation WEP visitation.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-VisitationCountLate.pdf}\label{fig:raincloud-results-visitations-late}} + \subfloat[Memory usage.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/raincloud-MemoryLate.pdf}\label{fig:raincloud-results-memory}} \caption{RainCloud workflow experimental results.} \label{fig:raincloud-results-enactment} \end{figure*} @@ -48,9 +48,9 @@ Loop unrolling reduces loop iteration management overhead, which additionally im \begin{figure*}[t] \centering - \subfloat[Original workflow.]{\includegraphics[height=6.1cm]{./figures/meteoag01.pdf}\label{fig:meteoag-structure1}}\qquad - \subfloat[After loop unswitching.]{\includegraphics[height=6.1cm]{./figures/meteoag02.pdf}\label{fig:meteoag-structure2}}\qquad - \subfloat[After loop unswitching and loop unrolling.]{\includegraphics[height=6.1cm]{./figures/meteoag03.pdf}\label{fig:meteoag-structure3}} + \subfloat[Original workflow.]{\includegraphics[height=6.1cm]{./workflowtransformations/figures/meteoag01.pdf}\label{fig:meteoag-structure1}}\qquad + \subfloat[After loop unswitching.]{\includegraphics[height=6.1cm]{./workflowtransformations/figures/meteoag02.pdf}\label{fig:meteoag-structure2}}\qquad + \subfloat[After loop unswitching and loop unrolling.]{\includegraphics[height=6.1cm]{./workflowtransformations/figures/meteoag03.pdf}\label{fig:meteoag-structure3}} \caption{MeteoAG workflow.} \label{fig:meteoag-structure} \end{figure*} @@ -59,9 +59,9 @@ Loop unrolling reduces loop iteration management overhead, which additionally im \begin{figure*}[t] \centering - \subfloat[Speedup.]{\includegraphics[width=.33\textwidth]{./figures/meteoag-speedup.pdf}\label{fig:meteoag-speedup}} - \subfloat[Early evaluation enactment.]{\includegraphics[width=.33\textwidth]{./figures/meteoag-enactment-early.pdf}\label{fig:meteoag-enactment-early}} - \subfloat[Late evaluation enactment.]{\includegraphics[width=.33\textwidth]{./figures/meteoag-enactment-late.pdf}\label{fig:meteoag-enactment-late}} + \subfloat[Speedup.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/meteoag-speedup.pdf}\label{fig:meteoag-speedup}} + \subfloat[Early evaluation enactment.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/meteoag-enactment-early.pdf}\label{fig:meteoag-enactment-early}} + \subfloat[Late evaluation enactment.]{\includegraphics[width=.33\textwidth]{./workflowtransformations/figures/meteoag-enactment-late.pdf}\label{fig:meteoag-enactment-late}} \caption{MeteoAG workflow experimental results.} \label{fig:meteoag-results} \end{figure*} @@ -81,8 +81,8 @@ Common activity elimination reduces the number of atomic activities in our examp \begin{figure}[t] \centering - \subfloat[Loop hoisting makespan.]{\includegraphics[width=.8\columnwidth]{./figures/loophoisting-Makespan.pdf}\label{fig:raincloud-results-loophoisting-makespan}}\\ - \subfloat[Common activity elimination makespan.]{\includegraphics[width=.8\columnwidth]{./figures/elimination-Makespan.pdf}\label{fig:raincloud-results-elimination-makespan}} + \subfloat[Loop hoisting makespan.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/loophoisting-Makespan.pdf}\label{fig:raincloud-results-loophoisting-makespan}}\\ + \subfloat[Common activity elimination makespan.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/elimination-Makespan.pdf}\label{fig:raincloud-results-elimination-makespan}} \caption{Loop hoisting and common activity elimination results.} \label{fig:raincloud-results-elimination-loophoisting} \end{figure} @@ -98,16 +98,16 @@ in all scenarios where the number of inner loop iterations is not a multiple of \begin{figure}[t] \centering - \subfloat[Original workflow.]{\includegraphics[height=4.2cm]{./figures/Sparselu-experiments1.pdf}\label{fig:Sparselu-experiments1}}\qquad - \subfloat[After loop fusion.]{\includegraphics[height=4.2cm]{./figures/Sparselu-experiments2.pdf}\label{fig:Sparselu-experiments2}} + \subfloat[Original workflow.]{\includegraphics[height=4.2cm]{./workflowtransformations/figures/Sparselu-experiments1.pdf}\label{fig:Sparselu-experiments1}}\qquad + \subfloat[After loop fusion.]{\includegraphics[height=4.2cm]{./workflowtransformations/figures/Sparselu-experiments2.pdf}\label{fig:Sparselu-experiments2}} \caption{Sparselu workflow.} \label{fig:sparselu-structure} \end{figure} \begin{figure}[t] \centering - \subfloat[Early evaluation mode.]{\includegraphics[width=.8\columnwidth]{./figures/Sparselu-Heft-Speedup-early.pdf}\label{fig:Sparselu-Heft-Speedup-early}}\\ - \subfloat[Late evaluation mode.]{\includegraphics[width=.8\columnwidth]{./figures/Sparselu-Heft-Speedup-late.pdf}\label{fig:Sparselu-Heft-Speedup-late}} + \subfloat[Early evaluation mode.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/Sparselu-Heft-Speedup-early.pdf}\label{fig:Sparselu-Heft-Speedup-early}}\\ + \subfloat[Late evaluation mode.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/Sparselu-Heft-Speedup-late.pdf}\label{fig:Sparselu-Heft-Speedup-late}} \caption{Speedup of Sparselu caused by scheduling improvements.} \label{fig:Sparselu-Heft-Speedup} \end{figure} @@ -118,8 +118,8 @@ in all scenarios where the number of inner loop iterations is not a multiple of \begin{figure}[t] \centering - \subfloat[Original workflow.]{\includegraphics[height=4.5cm]{./figures/blast-experiment01.pdf}\label{fig:blast-experiment01}}\hspace{2mm} - \subfloat[After reduction recognition.]{\includegraphics[height=4.5cm]{./figures/blast-experiment02.pdf}\label{fig:blast-experiment02}} + \subfloat[Original workflow.]{\includegraphics[height=4.5cm]{./workflowtransformations/figures/blast-experiment01.pdf}\label{fig:blast-experiment01}}\hspace{2mm} + \subfloat[After reduction recognition.]{\includegraphics[height=4.5cm]{./workflowtransformations/figures/blast-experiment02.pdf}\label{fig:blast-experiment02}} \caption{Blast workflow.} \label{fig:blast-structure} \end{figure} @@ -136,8 +136,8 @@ For software pipelining, we implemented the workflow from Figure~\ref{fig:transf \begin{figure}[t] \centering - \subfloat[Reduction recognition makespan.]{\includegraphics[width=.8\columnwidth]{./figures/blast-reduction.pdf}\label{fig:results-reduction-makespan}}\\ - \subfloat[Software pipelining makespan.]{\includegraphics[width=.8\columnwidth]{./figures/pipelining-Makespan.pdf}\label{fig:results-pipelining-makespan}} + \subfloat[Reduction recognition makespan.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/blast-reduction.pdf}\label{fig:results-reduction-makespan}}\\ + \subfloat[Software pipelining makespan.]{\includegraphics[width=.8\columnwidth]{./workflowtransformations/figures/pipelining-Makespan.pdf}\label{fig:results-pipelining-makespan}} \caption{Software pipelining and reduction recognition results.} \label{fig:results-pipelining-reduction} \end{figure} diff --git a/workflowtransformations/workflowtransformations-transformations.tex b/workflowtransformations/workflowtransformations-transformations.tex index 68be031..df2e734 100644 --- a/workflowtransformations/workflowtransformations-transformations.tex +++ b/workflowtransformations/workflowtransformations-transformations.tex @@ -36,12 +36,12 @@ We plan to investigate further workflow-specific transformations in future work. \begin{figure*}[t] \centering - \subfloat[Loop-invariant code hosting.]{\includegraphics[width=.3\textwidth]{./figures/transformation-loopInvariantHoisting.pdf}\label{fig:transformation-loopInvariantHoisting}} - \subfloat[Common subexpression elimination.]{\includegraphics[width=.3\textwidth]{./figures/transformation-CommonSubexpressionElimination.pdf}\label{fig:transformation-CommonSubexpressionElimination}} - \subfloat[If optimization.]{\includegraphics[width=.25\textwidth]{./figures/transformation-IfOptimization.pdf}\label{fig:transformation-IfOptimization}}\\ - \subfloat[Reduction recognition.]{\includegraphics[width=.3\textwidth]{./figures/transformation-ReductionRecognition.pdf}\label{fig:transformation-ReductionRecognition}} - \subfloat[Code hoisting.]{\includegraphics[width=.3\textwidth]{./figures/transformation-CodeHoisting.pdf}\label{fig:transformation-CodeHoisting}} - \subfloat[Software pipelining.]{\includegraphics[width=.3\textwidth]{./figures/transformation-SoftwarePipelining.pdf}\label{fig:transformation-SoftwarePipelining}} + \subfloat[Loop-invariant code hosting.]{\includegraphics[width=.3\textwidth]{./workflowtransformations/figures/transformation-loopInvariantHoisting.pdf}\label{fig:transformation-loopInvariantHoisting}} + \subfloat[Common subexpression elimination.]{\includegraphics[width=.3\textwidth]{./workflowtransformations/figures/transformation-CommonSubexpressionElimination.pdf}\label{fig:transformation-CommonSubexpressionElimination}} + \subfloat[If optimization.]{\includegraphics[width=.25\textwidth]{./workflowtransformations/figures/transformation-IfOptimization.pdf}\label{fig:transformation-IfOptimization}}\\ + \subfloat[Reduction recognition.]{\includegraphics[width=.3\textwidth]{./workflowtransformations/figures/transformation-ReductionRecognition.pdf}\label{fig:transformation-ReductionRecognition}} + \subfloat[Code hoisting.]{\includegraphics[width=.3\textwidth]{./workflowtransformations/figures/transformation-CodeHoisting.pdf}\label{fig:transformation-CodeHoisting}} + \subfloat[Software pipelining.]{\includegraphics[width=.3\textwidth]{./workflowtransformations/figures/transformation-SoftwarePipelining.pdf}\label{fig:transformation-SoftwarePipelining}} \caption{Example workflow transformations.} \label{fig:example-transformations} \end{figure*} @@ -51,20 +51,20 @@ We plan to investigate further workflow-specific transformations in future work. This category represents transformations that eliminate redundant atomic activity invocations (the most expensive parts in the workflow enactment), with a possible huge impact on performance. This category is similar to traditional transformations trying to reduce the number of executed instructions (replaced by activities here) such as loop-invariant code hoisting, common subexpression/activity elimination and constant propagation. -\paragraph{Loop-invariant code hoisting} moves the loop-invariant code to be executed only once before the loop instead of every loop iteration. With workflow applications, this transformation moves atomic activities with loop-invariant input data outside of the loop, reducing the number of activity invocations. Figure~\ref{fig:transformation-loopInvariantHoisting} shows an example where the activity \texttt{A2} only has a loop-invariant data dependency on activity \texttt{A1} and can be moved out of the loop. Section~\ref{sec:experiments} features an example of loop-invariant code hoisting. +\paragraph{Loop-invariant code hoisting} moves the loop-invariant code to be executed only once before the loop instead of every loop iteration. With workflow applications, this transformation moves atomic activities with loop-invariant input data outside of the loop, reducing the number of activity invocations. Figure~\ref{fig:transformation-loopInvariantHoisting} shows an example where the activity \texttt{A2} only has a loop-invariant data dependency on activity \texttt{A1} and can be moved out of the loop. Section~\ref{sec:transformationexperiments} features an example of loop-invariant code hoisting. %\begin{figure}[t] % \centering -% \includegraphics[width=.5\columnwidth]{./figures/transformation-loopInvariantHoisting.pdf} +% \includegraphics[width=.5\columnwidth]{./workflowtransformations/figures/transformation-loopInvariantHoisting.pdf} % \caption{Loop-Invariant Code Hosting.} % \label{fig:transformation-loopInvariantHoisting} %\end{figure} -\paragraph{Common subexpression/activity elimination} searches for several instances of identical expressions evaluated to the same value, and replaces them with a variable holding the computed value. We use this transformation in workflow applications to eliminate several invocations of the same activity type with the same input values. In case of an execution path between two invocations, we eliminate the redundant second invocation and connect its involved ports to the output ports of the first invocation. In the example from Figure~\ref{fig:transformation-loopInvariantHoisting}, the activities \texttt{B1} and \texttt{B2} share the same activity type and the same input values, and \texttt{B2} is reachable from \texttt{B1}. In this case, we eliminate \texttt{B2} and connect the input ports of activity \texttt{D} with the output ports of \texttt{B1}. Section~\ref{sec:experiments} features an example of common activity elimination. +\paragraph{Common subexpression/activity elimination} searches for several instances of identical expressions evaluated to the same value, and replaces them with a variable holding the computed value. We use this transformation in workflow applications to eliminate several invocations of the same activity type with the same input values. In case of an execution path between two invocations, we eliminate the redundant second invocation and connect its involved ports to the output ports of the first invocation. In the example from Figure~\ref{fig:transformation-loopInvariantHoisting}, the activities \texttt{B1} and \texttt{B2} share the same activity type and the same input values, and \texttt{B2} is reachable from \texttt{B1}. In this case, we eliminate \texttt{B2} and connect the input ports of activity \texttt{D} with the output ports of \texttt{B1}. Section~\ref{sec:transformationexperiments} features an example of common activity elimination. %\begin{figure}[t] % \centering -% \includegraphics[width=.75\columnwidth]{./figures/transformation-CommonSubexpressionElimination.pdf} +% \includegraphics[width=.75\columnwidth]{./workflowtransformations/figures/transformation-CommonSubexpressionElimination.pdf} % \caption{Common subexpression elimination.} % \label{fig:transformation-CommonSubexpressionElimination} %\end{figure} @@ -81,11 +81,11 @@ There exists no equivalent category in traditional compiler transformations, as \paragraph{Loop unswitching} moves a conditional activity out of a loop and duplicates the loop in each branch of the condition. This way, the condition is only evaluated once instead of every loop iteration thus simplifying the WEP. %Applying this transformation to a workflow produces a WEP that only contains a single set of nodes encompassing the loop, instead of a set of nodes within each loop iteration, thus reducing the number of nodes in the WEP. -Section~\ref{sec:experiments} features a loop unswitching example applied to a real-world workflow. The WEP of the original version of this workflow (see Figure~\ref{fig:raincloud-structure1}) features four, respectively three nodes per iteration, while loop unswitching (see Figure~\ref{fig:raincloud-structure2}) reduces it to two, respectively one node per iteration. +Section~\ref{sec:transformationexperiments} features a loop unswitching example applied to a real-world workflow. The WEP of the original version of this workflow (see Figure~\ref{fig:raincloud-structure1}) features four, respectively three nodes per iteration, while loop unswitching (see Figure~\ref{fig:raincloud-structure2}) reduces it to two, respectively one node per iteration. \paragraph{Loop unrolling} replicates the loop body several times, so that a single iteration of the modified loop does the same computation as several iterations of the original loop, reducing the number of iterations needed to get the same result. %Applying this transformation to a workflow application allows us to reduce the number of loop iteration nodes in the WEP and the number of invocations of the associated callback function, which improves scalability. -Section~\ref{sec:experiments} features an example of a loop unrolled ten times that reduces the number of loop iteration nodes nodes in the WEP and the number of loop iteration callback invocations by a factor of ten (see Figure~\ref{fig:raincloud-structure3}). +Section~\ref{sec:transformationexperiments} features an example of a loop unrolled ten times that reduces the number of loop iteration nodes nodes in the WEP and the number of loop iteration callback invocations by a factor of ten (see Figure~\ref{fig:raincloud-structure3}). \paragraph{If optimization} combines consecutive conditional activities with equivalent conditions into a single one, and flattens the nested conditional activities when the inner condition always evaluates to true and the outer condition is true, resulting in a simpler WEP. %When applied to a workflow application, the WEP of the modified workflow contains fewer conditional nodes and, therefore, features less overhead when traversing the WEP and evaluating the nodes. @@ -93,7 +93,7 @@ Figure~\ref{fig:transformation-IfOptimization} shows an example of two consecuti %\begin{figure}[ht] % \centering -% \includegraphics[width=4cm,keepaspectratio=true]{./figures/transformation-IfOptimization.pdf} +% \includegraphics[width=4cm,keepaspectratio=true]{./workflowtransformations/figures/transformation-IfOptimization.pdf} % \caption{If Optimization.} % \label{fig:transformation-IfOptimization} %\end{figure} @@ -107,12 +107,12 @@ Examples of transformations that do not modify data access patterns and can be a \paragraph{Reduction recognition} recognizes array operations (usually the output of a loop) reduced to a single value. Associative reduction operations can be parallelized by splitting the loop and spawning several parallel reduction operations, each reducing a part of the array, followed by a final reduction operation that reduces the partial results. To be able to recognize activities suitable for parallel reduction, we tag them with an \texttt{associative} tag. -Figure~\ref{fig:transformation-ReductionRecognition} shows an example of a parallel loop producing an array reduced by the activity \texttt{R}. Reduction recognition splits the original loop in several loops that are executed and reduced in parallel by the activities \texttt{Rp}, followed by a final reduction \texttt{Rf}. Section~\ref{sec:experiments} features an example of reduction recognition. +Figure~\ref{fig:transformation-ReductionRecognition} shows an example of a parallel loop producing an array reduced by the activity \texttt{R}. Reduction recognition splits the original loop in several loops that are executed and reduced in parallel by the activities \texttt{Rp}, followed by a final reduction \texttt{Rf}. Section~\ref{sec:transformationexperiments} features an example of reduction recognition. %This allows us to improve parallel performance because instead of a single activity~\texttt{R} we have several parallel activities~\texttt{Rp} executing at the same time. %\begin{figure}[ht] % \centering -% \includegraphics[width=4cm,keepaspectratio=true]{./figures/transformation-ReductionRecognition.pdf} +% \includegraphics[width=4cm,keepaspectratio=true]{./workflowtransformations/figures/transformation-ReductionRecognition.pdf} % \caption{Reduction Recognition.} % \label{fig:transformation-ReductionRecognition} %\end{figure} @@ -126,7 +126,7 @@ Figure~\ref{fig:transformation-CodeHoisting} shows an example workflow containin %\begin{figure}[ht] % \centering -% \includegraphics[width=4cm,keepaspectratio=true]{./figures/transformation-CodeHoisting.pdf} +% \includegraphics[width=4cm,keepaspectratio=true]{./workflowtransformations/figures/transformation-CodeHoisting.pdf} % \caption{Code Hoisting.} % \label{fig:transformation-CodeHoisting} %\end{figure} @@ -134,11 +134,11 @@ Figure~\ref{fig:transformation-CodeHoisting} shows an example workflow containin \paragraph{Software pipelining} parallelizes a sequential loop containing a linear sequence of operations by overlapping the individual loop iterations. This transformation can also be applied to a workflow to improve its parallel throughput. Figure~\ref{fig:transformation-SoftwarePipelining} shows a workflow consisting of a sequential loop with three activities \texttt{A}, \texttt{B} and \texttt{C} in a pipeline. The index \texttt{i} in the parenthesis refers to the loop iteration. The output of activity \texttt{A(i)} is input into the activity \texttt{A(i+1)} via a loop port, which hinders the use a \texttt{parallel for} loop. Software pipelining executes the activities \texttt{A(i+2)}, \texttt{B(i+1)} and \texttt{C(i)} in parallel, which improves parallelism and reduces the execution time -(see Section~\ref{sec:experiments}).% features an example of software pipelining. +(see Section~\ref{sec:transformationexperiments}).% features an example of software pipelining. %\begin{figure}[ht] % \centering -% \includegraphics[width=6cm,keepaspectratio=true]{./figures/transformation-SoftwarePipelining.pdf} +% \includegraphics[width=6cm,keepaspectratio=true]{./workflowtransformations/figures/transformation-SoftwarePipelining.pdf} % \caption{Software Pipelining} % \label{fig:transformation-SoftwarePipelining} %\end{figure}

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