%!PS-Adobe-2.0 %%Creator: dvips 5.55 Copyright 1986, 1994 Radical Eye Software %%Title: paper.dvi %%CreationDate: Tue Oct 11 09:30:40 1994 %%Pages: 10 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentFonts: Times-Roman Times-Italic Times-Bold Courier %%EndComments %DVIPSCommandLine: dvips -D 600 paper -o %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 1994.10.11:0929 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{ /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{ /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0] N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{ 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]} if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{ cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore showpage userdict /eop-hook known{eop-hook}if}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M} B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{ 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{ p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end %%EndProcSet %%BeginProcSet: /u/ddas/tex/pstricks/ps/pstricks.pro % PostScript prologue for pstricks.tex. % Created 1993/3/12. Source file was pstricks.doc % Version 0.93a, 93/03/12. % For use with Rokicki's dvips. /tx@Dict 200 dict def tx@Dict begin /ADict 25 dict def /CM { matrix currentmatrix } bind def /SLW /setlinewidth load def /CLW /currentlinewidth load def /CP /currentpoint load def /ED { exch def } bind def /L /lineto load def /T /translate load def /Atan { /atan load stopped { pop pop 0 } if } def /Div { dup 0 eq { pop } { div } ifelse } def /NET { neg exch neg exch T } def /Pyth { dup mul exch dup mul add sqrt } def /PtoC { 2 copy cos mul 3 1 roll sin mul } def /PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def /PathLength { flattenpath /z 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } { /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ } pathforall z } def /STP { .996264 dup scale } def /STV { SDict begin normalscale end STP } def /DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul /y ED x mul /x ED x 0 eq y 0 eq and { /x 1 def /y 1 def } if [ y x ] 1 a sub y mul setdash stroke } def /DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt { /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y add def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if ] a 0 gt { 0 } { y 2 div a -2 gt { neg } if } ifelse setdash 1 setlinecap stroke } def /LineFill { abs CLW add /a ED gsave clip pathbbox a Div ceiling /y2 ED /x2 ED a Div floor /y1 ED /x1 ED /n y2 y1 sub 1 add cvi def /y1 a y1 mul def newpath 2 setlinecap n { currentstrokeadjust == x1 y1 moveto x2 y1 L stroke /y1 y1 a add def } repeat grestore } def /LineFill { abs CLW add /a ED gsave clip pathbbox a Div ceiling /y2 ED /x2 ED a Div floor /y1 ED /x1 ED /n y2 y1 sub 1 add cvi def /y1 a y1 mul def newpath 2 setlinecap systemdict /currentstrokeadjust known { currentstrokeadjust } { false } ifelse { /t { } def } { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } bind def } ifelse n { x1 y1 t moveto x2 y1 t L stroke /y1 y1 a add def } repeat grestore } def /BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg exch 3 index sub exch Atan rotate newpath } def /EndArrow { @mtrx setmatrix CP grestore end } def /Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1 scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill grestore } def /Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0 CLW moveto } def /Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2 div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0 CLW moveto } def /RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW 2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0 curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto } def /Shadow { [ { /moveto load } { /lineto load } { /curveto load } { /closepath load } pathforall ] cvx newpath 3 1 roll T exec } def /SD { 0 360 arc fill } def /SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def /ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def /SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def /NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch cvi def } def /NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def /Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def /Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 } ifelse { pop } repeat a } def /CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq and { pop pop /n n 1 sub def } if } def /Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop } repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1 ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto Lineto pop pop closepath } ifelse } def /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth def } def /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth def } def /CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1 def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def /y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul m mul neg def } def /IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def } def /BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def /NC { CC x1 y1 x2 y2 x y curveto } def /EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def /BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def /NAC { x2 y2 x y curveto CC x1 y1 } def /EAC { x2 y2 x y ArrowB curveto pop pop } def /OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def n { NC } repeat EOC } ifelse } def /AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload /Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def /ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt { CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC } repeat closepath pop pop } ifelse } def /EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def /Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto x1 y1 lineto closepath } def /OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1 y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse /b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath } ifelse } def /Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add /y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse } def /Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1 sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def } def /Grid { /a 4 string def /b ED /d ED /n ED cvi dup 1 lt { pop 1 } if /c ED c div dup 0 eq { pop 1 } if /cy ED c div dup 0 eq { pop 1 } if /cx ED cy div cvi /y ED cx div cvi /x ED cy div cvi /y2 ED cx div cvi /x2 ED cy div cvi /y1 ED cx div cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def /Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def } if gsave n 0 gt { 1 setlinecap [ 0 cy n div ] 0 setdash } { 2 setlinecap } ifelse /c x1 def /i 500 w mul x1 add def /e y cy mul def /f y1 cy mul def /g y2 cy mul def x1 cx mul 0 T { newpath 0 e moveto b 0 gt { gsave d c a cvs dup stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg} {z1} ifelse rmoveto show grestore } if 0 f moveto 0 g L stroke cx w mul 0 T c x2 eq c i eq or {exit} if /c c w add def } loop grestore gsave n 0 gt { 1 setlinecap [ 0 cx n div ] 0 setdash } { 2 setlinecap } ifelse /c y1 def /i 500 h mul y1 add def /e x cx mul def /f x1 cx mul def /g x2 cx mul def 0 y1 cy mul T { newpath e 0 moveto b 0 gt { gsave d c a cvs dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt {z1} {b neg} ifelse rmoveto show grestore } if f 0 moveto g 0 L stroke 0 cy h mul T c y2 eq c i eq or {exit} if /c c h add def } loop grestore } def /ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0 1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c mul neg d } def /Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def /Rot { CP CP translate 3 -1 roll neg rotate NET } def /PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def /PutBegin { /lmtrx [ tx@Dict /lmtrx known { lmtrx aload pop } if CM ] def CP 4 2 roll T moveto } def /PutEnd { CP /lmtrx [ lmtrx aload pop setmatrix ] def moveto } def /Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } { h1 abs h sub dup s mul abs } ifelse } def /UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q { x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add exch } def /BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { CP OLUnit T moveto /IfVisible true def } if } { IfVisible { CP OLUnit NET moveto /IfVisible false def } if } ifelse } def /InitOL { /OLUnit [ gsave CM STV 2890.79999 dup moveto setmatrix CP grestore ] cvx def /BOL { BeginOL } def /IfVisible true def } def end %%EndProcSet %%BeginProcSet: /u/ddas/tex/pstricks/ps/pst-node.pro % PostScript prologue for pst-node.tex. % Created 1993/3/12. Source file was pst-node.doc % Version 0.93a, 93/03/12. % For use with Rokicki's dvips. /tx@NodeDict 200 dict def tx@NodeDict begin /NewNode { gsave /next ED dict dup 3 -1 roll ED begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end grestore } def /InitPnode { /Y ED /X ED /NodePos { Nodesep Cos mul Nodesep Sin mul } def } def /InitCnode { /r ED /Y ED /X ED /NodePos { Nodesep r add dup Cos mul exch Sin mul } def } def /GetRnodePos { Cos 0 gt { /dx r Nodesep add def } { /dx l Nodesep sub def } ifelse Sin 0 gt { /dy u Nodesep add def } { /dy d Nodesep sub def } ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse } def /InitRnode { /r ED r mul neg /l ED /r r l add def /X l neg def { neg /d ED /u ED /Y 0 def } { neg /Y ED Y sub /u ED u mul neg /d ED /u u d add def /Y Y d sub def } ifelse /NodePos { GetRnodePos } def } def /InitRNode { /Y ED /X ED /r ED /X r 2 div X add def /r r X sub def /l X neg def Y add neg /d ED Y sub /u ED /NodePos { GetRnodePos } def } def /GetOnodePos { /ww w Nodesep add def /hh h Nodesep add def Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul } def /GetCenter { begin X Y NodeMtrx transform CM itransform end } def /GetAngle { nodeA GetCenter nodeB GetCenter 3 -1 roll sub 3 1 roll sub neg Atan } def /GetEdge { begin /Nodesep ED dup 1 0 NodeMtrx dtransform CM idtransform exch atan sub dup sin /Sin ED cos /Cos ED NodePos Y add exch X add exch NodeMtrx transform CM itransform end 4 2 roll 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse } def /GetPos { OffsetA AngleA NodesepA nodeA GetEdge /y1 ED /x1 ED OffsetB AngleB NodesepB nodeB GetEdge /y2 ED /x2 ED } def /InitNC { /nodeB ED /nodeA ED /NodesepB ED /NodesepA ED /OffsetB ED /OffsetA ED tx@NodeDict nodeA known tx@NodeDict nodeB known and dup { /nodeA nodeA load def /nodeB nodeB load def } if } def /LineMP { 4 copy 1 t sub mul exch t mul add 3 1 roll 1 t sub mul exch t mul add exch 6 2 roll sub 3 1 roll sub Atan } def /NCCoor { GetAngle /AngleA ED /AngleB AngleA 180 add def GetPos /LPutVar [ x2 x1 y2 y1 ] cvx def /LPutPos { LPutVar LineMP } def x1 y1 x2 y2 } def /NCLine { NCCoor tx@Dict begin ArrowB 4 2 roll ArrowA lineto end } def /BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3 mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul mul 2 bx t mul mul add cx add atan } def /GetArms { /x1a armA AngleA cos mul x1 add def /y1a armA AngleA sin mul y1 add def /x2a armB AngleB cos mul x2 add def /y2a armB AngleB sin mul y2 add def } def /NCCurve { GetPos x1 x2 sub y1 y2 sub Pyth 2 div dup 3 -1 roll mul /armA ED mul /armB ED GetArms x1a y1a x1 y1 tx@Dict begin ArrowA end x2a y2a x2 y2 tx@Dict begin ArrowB end curveto /LPutVar [ x1 y1 x1a y1a x2a y2a x2 y2 ] cvx def /LPutPos { t LPutVar BezierMidpoint } def } def /AnglesMP { LPutVar t 3 gt { /t t 3 sub def } { t 2 gt { /t t 2 sub def 10 -2 roll } { t 1 gt { /t t 1 sub def 10 -4 roll } { 10 4 roll } ifelse } ifelse } ifelse 6 { pop } repeat 3 -1 roll exch LineMP } def /NCAngles { GetPos GetArms /mtrx AngleA matrix rotate def x1a y1a mtrx transform pop x2a y2a mtrx transform exch pop mtrx itransform /y0 ED /x0 ED mark armB 0 ne { x2 y2 } if x2a y2a x0 y0 x1a y1a armA 0 ne { x1 y1 } if tx@Dict begin false Line end /LPutVar [ x2 y2 x2a y2a x0 y0 x1a y1a x1 y1 ] cvx def /LPutPos { AnglesMP } def } def /NCAngle { GetPos /x2a armB AngleB cos mul x2 add def /y2a armB AngleB sin mul y2 add def /mtrx AngleA matrix rotate def x2a y2a mtrx transform pop x1 y1 mtrx transform exch pop mtrx itransform /y0 ED /x0 ED mark armB 0 ne { x2 y2 } if x2a y2a x0 y0 x1 y1 tx@Dict begin false Line end /LPutVar [ x2 y2 x2 y2 x2a y2a x0 y0 x1 y1 ] cvx def /LPutPos { AnglesMP } def } def /NCBar { GetPos GetArms /mtrx AngleA matrix rotate def x1a y1a mtrx transform pop x2a y2a mtrx transform pop sub dup 0 mtrx itransform 3 -1 roll 0 gt { /y2a exch y2a add def /x2a exch x2a add def } { /y1a exch neg y1a add def /x2a exch neg x2a add def } ifelse mark x2 y2 x2a y2a x1a y1a x1 y1 tx@Dict begin false Line end /LPutVar [ x2 y2 x2 y2 x2a y2a x1a y1a x1 y1 ] cvx def /LPutPos { LPutVar AnglesMP } def } def /NCDiag { GetPos GetArms mark x2 y2 x2a y2a x1a y1a x1 y1 tx@Dict begin false Line end /LPutVar [ x2 y2 x2 y2 x2a y2a x1a y1a x1 y1 ] cvx def /LPutPos { AnglesMP } def } def /NCDiagg { OffsetA AngleA NodesepA nodeA GetEdge /y1 ED /x1 ED /x1a armA AngleA cos mul x1 add def /y1a armA AngleA sin mul y1 add def nodeB GetCenter y1a sub exch x1a sub Atan 180 add /AngleB ED OffsetB AngleB NodesepB nodeB GetEdge /y2 ED /x2 ED mark x2 y2 x1a y1a x1 y1 tx@Dict begin false Line end /LPutVar [ x2 y2 x2 y2 x2 y2 x1a 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if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 303 1732 a 264 1651 a tx@Dict begin tx@NodeDict begin { } /TheNoderetr1 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 264 1651 a Fm(RET)453 1651 y tx@Dict begin tx@NodeDict begin { } /TheNoderetr2 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 453 1651 a Fm(RET)303 1732 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoin /TheNoderetr1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 303 1732 a 303 1732 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoin /TheNoderetr2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 303 1732 a 265 1740 a tx@Dict begin tx@NodeDict begin { } /TheNoder1 16 { .5 3.41667 1.5 false .5 9.05264 InitRnode } NewNode end end 265 1740 a Fl(R)308 1752 y Fn(1)455 1740 y tx@Dict begin tx@NodeDict begin { } /TheNoder2 16 { .5 3.41667 1.5 false .5 9.05264 InitRnode } NewNode end end 455 1740 a Fl(R)498 1752 y Fn(2)303 1732 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderetr1 /TheNoder1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 303 1732 a 303 1732 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderetr2 /TheNoder2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 303 1732 a 27 1914 a Fz(\(a\))37 b(An)f(e)o (xpression)j(and)e(its)27 1993 y(corresponding)19 b(operator)g(tree)p 872 2091 4 820 v 1237 1457 a tx@Dict begin tx@NodeDict begin { } /TheNodemergesort 16 { .5 3.36499 1.09 false .5 22.25996 InitRnode } NewNode end end 1237 1457 a Fm(Mer)o(ge)p 1346 1457 13 4 v 16 w(sort)1219 1552 y tx@Dict begin tx@NodeDict begin { } /TheNodenestedloops 16 { .5 3.36499 1.07999 false .5 26.51999 InitRnode } NewNode end end 1219 1552 a Fm(Nested)p 1336 1552 13 4 v 16 w(loops)1235 1732 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodemergesort /TheNodenestedloops InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1235 1732 a 1158 1651 a tx@Dict begin tx@NodeDict begin { } /TheNodefilescanr1 16 { .5 3.36499 0.04 false .5 18.465 InitRnode } NewNode end end 1158 1651 a Fm(File)p 1225 1651 13 4 v 15 w(scan)1347 1651 y tx@Dict begin tx@NodeDict begin { } /TheNodefilescanr2 16 { .5 3.36499 0.04 false .5 18.465 InitRnode } NewNode end end 1347 1651 a Fm(File)p 1414 1651 13 4 v 15 w(scan)1235 1732 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodenestedloops /TheNodefilescanr1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1235 1732 a 1235 1732 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodenestedloops /TheNodefilescanr2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1235 1732 a 1197 1740 a tx@Dict begin tx@NodeDict begin { } /TheNoder1 16 { .5 3.41667 1.5 false .5 9.05264 InitRnode } NewNode end end 1197 1740 a Fl(R)1240 1752 y Fn(1)1386 1740 y tx@Dict begin tx@NodeDict begin { } /TheNoder2 16 { .5 3.41667 1.5 false .5 9.05264 InitRnode } NewNode end end 1386 1740 a Fl(R)1429 1752 y Fn(2)1235 1732 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodefilescanr1 /TheNoder1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1235 1732 a 1235 1732 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodefilescanr2 /TheNoder2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1235 1732 a 959 1914 a Fz(\(b\))h(Possible)i(access)g(plan) g(for)959 1993 y(operator)d(tree)f(in)f(\(a\))p 1829 2116 4 870 v -105 2119 1938 4 v 1831 2136 19 877 v -89 2136 1938 19 v -26 2318 a FG(Figure)i(1:)30 b(Example)19 b(of)h(an)g(operator)e(tree)i(and)g(access)h(plan)-112 2520 y Fw(Descriptors.)82 b FG(A)16 b FF(pr)l(operty)g FG(of)g(a)h(node)e(is)i(a)g(\(user)n(-de\256ned\))d(v)n(ari-)-112 2620 y(able)31 b(that)g(contains)g(information)e(used)i(by)g(an)h (optimizer)-5 b(.)62 b(An)-112 2720 y FF(annotation)25 b FG(is)k(a)f Fk(h)p FF(pr)l(operty)-5 b(,)21 b(value)n Fk(i)29 b FG(pair)f(that)g(is)h(assigned)e(to)h(a)-112 2819 y(node.)40 b(A)25 b FF(descriptor)h 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b(UNNEST)2044 5026 y(w)o(as)20 b(not)h(considered)i(because)f(it)f(appeared)i(in)e(e)o(xactly)h(one)f (trans)p 3656 5026 V 25 w(rule)h(and)f(one)2044 5105 y(impl)p 2169 5105 V 24 w(rule;)g(including)h(it)d(in)g(our)g(queries)h (w)o(ould)g(ha)o(v)o(e)f(increased)i(the)f(number)f(of)2044 5184 y(parameters)f(that)f(could)h(af)n(fect)g(our)f(run-times.)25 b(W)-5 b(e)15 b(preferred)k(to)d(concentrate)k(on)2044 5263 y(simple)d(JOIN)g(e)o(xpressions.)p eop %%Page: 8 8 8 7 bop -112 24 2130 4 v -112 1001 4 978 v -37 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl1 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end -37 707 a Fa(C)-10 719 y Fn(1)-47 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl1 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end -47 618 a Fm(RET)-7 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl1 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 152 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl2 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 152 707 a Fa(C)179 719 y Fn(2)142 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl2 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 142 618 a Fm(RET)-7 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 42 524 a tx@Dict begin tx@NodeDict begin { } /TheNodejoingetcl1getcl2 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 42 524 a Fm(JOIN)-7 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a -7 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 182 415 a tx@Dict begin 45. Rot end 182 415 a 143 418 a tx@Dict begin tx@NodeDict begin { } /TheNodedots 16 { .5 0.61111 0.0 false .5 9.32877 InitRnode } NewNode end end 143 418 a Fl(:)10 b(:)g(:)182 415 y tx@Dict begin 45. neg Rot end 182 415 a -7 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 331 429 a tx@Dict begin tx@NodeDict begin { } /TheNodegetcln 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 331 429 a Fm(RET)336 520 y tx@Dict begin tx@NodeDict begin { } /TheNodecln 16 { .5 3.37999 0.99998 false .5 8.23898 InitRnode } NewNode end end 336 520 a Fa(C)364 528 y Fl(n)-7 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 231 335 a tx@Dict begin tx@NodeDict begin { } /TheNoderoot 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 231 335 a Fm(JOIN)-7 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a -7 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end -7 699 a 100 881 a Fz(\(a\))17 b(E1)p 447 976 4 928 v 476 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl1 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 476 707 a Fa(C)504 719 y Fn(1)467 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl1 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 467 618 a Fm(RET)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl1 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 665 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl2 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 665 707 a Fa(C)693 719 y Fn(2)656 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl2 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 656 618 a Fm(RET)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 463 524 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcl1 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 463 524 a Fm(MA)-5 b(T)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodegetcl1 /TheNodematgetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 652 524 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcl2 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 652 524 a Fm(MA)g(T)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodegetcl2 /TheNodematgetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 556 429 a tx@Dict begin tx@NodeDict begin { } /TheNodejoinmatgetcl1matgetcl2 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 556 429 a Fm(JOIN)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodematgetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 506 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodematgetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 695 321 a tx@Dict begin 45. Rot end 695 321 a 656 324 a tx@Dict begin tx@NodeDict begin { } /TheNodedots 16 { .5 0.61111 0.0 false .5 9.32877 InitRnode } NewNode end end 656 324 a Fl(:)11 b(:)f(:)695 321 y tx@Dict begin 45. neg Rot end 695 321 a 506 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 845 429 a tx@Dict begin tx@NodeDict begin { } /TheNodegetcln 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 845 429 a Fm(RET)850 520 y tx@Dict begin tx@NodeDict begin { } /TheNodecln 16 { .5 3.37999 0.99998 false .5 8.23898 InitRnode } NewNode end end 850 520 a Fa(C)878 528 y Fl(n)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 841 335 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcln 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 841 335 a Fm(MA)-5 b(T)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodematgetcln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 745 240 a tx@Dict begin tx@NodeDict begin { } /TheNoderoot 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 745 240 a Fm(JOIN)506 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 506 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodematgetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 506 699 a 611 881 a Fz(\(b\))17 b(E2)p 961 976 4 928 v 990 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl1 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 990 707 a Fa(C)1018 719 y Fn(1)981 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl1 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 981 618 a Fm(RET)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl1 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1179 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl2 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 1179 707 a Fa(C)1207 719 y Fn(2)1170 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl2 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 1170 618 a Fm(RET)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1070 524 a tx@Dict begin tx@NodeDict begin { } /TheNodejoingetcl1getcl2 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 1070 524 a Fm(JOIN)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1020 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1209 415 a tx@Dict begin 45. Rot end 1209 415 a 1170 418 a tx@Dict begin tx@NodeDict begin { } /TheNodedots 16 { .5 0.61111 0.0 false .5 9.32877 InitRnode } NewNode end end 1170 418 a Fl(:)11 b(:)f(:)1209 415 y tx@Dict begin 45. neg Rot end 1209 415 a 1020 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoingetcl1getcl2 /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1359 429 a tx@Dict begin tx@NodeDict begin { } /TheNodegetcln 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 1359 429 a Fm(RET)1364 520 y tx@Dict begin tx@NodeDict begin { } /TheNodecln 16 { .5 3.37999 0.99998 false .5 8.23898 InitRnode } NewNode end end 1364 520 a Fa(C)1392 528 y Fl(n)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1259 335 a tx@Dict begin tx@NodeDict begin { } /TheNoderoot 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 1259 335 a Fm(JOIN)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1020 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1227 240 a tx@Dict begin tx@NodeDict begin { } /TheNodeselect 16 { .5 3.36499 0.06248 false .5 18.33496 InitRnode } NewNode end end 1227 240 a Fm(SELECT)1020 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodeselect /TheNoderoot InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1020 699 a 1127 881 a Fz(\(c\))17 b(E3)p 1474 976 4 928 v 1504 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl1 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 1504 707 a Fa(C)1531 719 y Fn(1)1495 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl1 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 1495 618 a Fm(RET)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl1 /TheNodegetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1693 707 a tx@Dict begin tx@NodeDict begin { } /TheNodecl2 16 { .5 3.37999 1.5 false .5 7.23782 InitRnode } NewNode end end 1693 707 a Fa(C)1720 719 y Fn(2)1684 618 y tx@Dict begin tx@NodeDict begin { } /TheNodegetcl2 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 1684 618 a Fm(RET)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecl2 /TheNodegetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1490 524 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcl1 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 1490 524 a Fm(MA)-5 b(T)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodegetcl1 /TheNodematgetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1679 524 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcl2 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 1679 524 a Fm(MA)g(T)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodegetcl2 /TheNodematgetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1583 429 a tx@Dict begin tx@NodeDict begin { } /TheNodejoinmatgetcl1matgetcl2 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 1583 429 a Fm(JOIN)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodematgetcl1 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1534 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodematgetcl2 InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1723 321 a tx@Dict begin 45. Rot end 1723 321 a 1684 324 a tx@Dict begin tx@NodeDict begin { } /TheNodedots 16 { .5 0.61111 0.0 false .5 9.32877 InitRnode } NewNode end end 1684 324 a Fl(:)10 b(:)h(:)1723 321 y tx@Dict begin 45. neg Rot end 1723 321 a 1534 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodejoinmatgetcl1matgetcl2 /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1873 429 a tx@Dict begin tx@NodeDict begin { } /TheNodegetcln 16 { .5 3.36499 0.0 false .5 9.44498 InitRnode } NewNode end end 1873 429 a Fm(RET)1878 520 y tx@Dict begin tx@NodeDict begin { } /TheNodecln 16 { .5 3.37999 0.99998 false .5 8.23898 InitRnode } NewNode end end 1878 520 a Fa(C)1905 528 y Fl(n)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodecln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1868 335 a tx@Dict begin tx@NodeDict begin { } /TheNodematgetcln 16 { .5 3.36499 0.0 false .5 10.55498 InitRnode } NewNode end end 1868 335 a Fm(MA)-5 b(T)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodematgetcln /TheNodegetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1772 240 a tx@Dict begin tx@NodeDict begin { } /TheNoderoot 16 { .5 3.36499 0.06248 false .5 10.82999 InitRnode } NewNode end end 1772 240 a Fm(JOIN)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodedots InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1534 699 a tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNoderoot /TheNodematgetcln InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1741 146 a tx@Dict begin tx@NodeDict begin { } /TheNodeselect 16 { .5 3.36499 0.06248 false .5 18.33496 InitRnode } NewNode end end 1741 146 a Fm(SELECT)1534 699 y tx@Dict begin gsave STV newpath 0.8 SLW 0. setgray /ArrowA { moveto } def /ArrowB { } def tx@NodeDict begin 0.0 0.0 neg 1.0 1.0 /TheNodeselect /TheNoderoot InitNC { NCLine } if end gsave 0.8 SLW 0. setgray 0 setlinecap stroke grestore grestore end 1534 699 a 1639 881 a Fz(\(d\))17 b(E4)p 2014 1001 4 978 v -112 1004 2130 4 v 2015 1021 19 984 v -96 1021 2130 19 v -112 1204 a FG(Figure)g(6:)28 b(Expressions)17 b(used)h(in)g(generating)e(queries)h(for)h(e)o (xperiments)p 2359 358 1644 13 v 2359 424 4 67 v 2412 438 a Fp(Query)p 2620 424 V 2673 443 a(Indices?)p 2930 424 V 2983 438 a(Expr)o(ession)p 3306 424 V 3471 404 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