%!PS-Adobe-2.0 %%Creator: dvips(k) 5.96.1 Copyright 2007 Radical Eye Software %%Title: main_OCAD.dvi %%CreationDate: Thu Apr 24 17:42:44 2008 %%Pages: 58 %%PageOrder: Ascend %%BoundingBox: 0 0 595 842 %%DocumentFonts: CMMI9 CMBX9 CMR9 TeX-cmex9 CMR6 MSBM10 CMMI6 CMSY9 %%+ CMSY6 CMSY8 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips main_OCAD.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2008.04.24:1742 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}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{A A round sub abs 0.00001 lt{round}if}forall round exch 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B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/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: pstricks.pro 0 0 %! % PostScript prologue for pstricks.tex. % Version 1.01, 2006/01/11 % For distribution, see pstricks.tex. % /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 /TMatrix { } def /RAngle { 0 } def /Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments /Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known /ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter) /Div { dup 0 eq { pop } { div } ifelse } def % control the division /NET { neg exch neg exch T } def % change coordinate system to the negative one /Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, epects 2 parameter /PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian %----------------- hv added 20050516 --------------- /Pi 3.14159265359 def /TwoPi 6.28318530718 def /Euler 2.71828182846 def /RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees /DegtoRad { Pi mul 180 div } bind def % viceversa %----------------- hv end--------------------------- /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 load stopped { pop pop pop pop } if z } def /STP { .996264 dup scale } def /STV { SDict begin normalscale end STP } def % %%-------------- DG begin patch 15 ---------------%% %/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 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ] %0 } ifelse setdash stroke } def /DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse /b ED /x1 ED /y1 ED /x ED /y ED /z y x add y1 add x1 add def /Coef 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 def /y y Coef mul def /x x Coef mul def /y1 y1 Coef mul def /x1 x1 Coef mul def x1 0 gt y1 0 gt or x 0 gt or y 0 gt and { [ y x y1 x1 ] 1 a sub y mul } { [ 1 0 ] 0 } ifelse setdash stroke } def %%-------------- DG end patch 15 ---------------%% /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 { % hv ------------ patch 7 ------------- gsave abs /hatchWidthInc ED abs /hatchSepInc ED abs CLW add /a ED a 0 dtransform round exch round exch 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25 itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict /setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1 a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add hatchWidthInc 0 gt { CLW add } if def hatchSepInc 0 gt hatchWidthInc 0 gt or { /a a hatchSepInc add def CLW hatchWidthInc add SLW } if } repeat grestore pop pop } def % %gsave abs CLW add /a ED a 0 dtransform round exch round exch %2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25 %% DG/SR modification begin - Dec. 12, 1997 - Patch 2 %%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a %itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a %% DG/SR modification end %Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict %/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1 %% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) %% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore } %% def %a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore %pop pop } def %% DG/SR modification end % /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 /SD { 0 360 arc fill } def /EndDot { % DS is the dot size { /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 % /Shadow { [ { /moveto load } { /lineto load } { /curveto load } { /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto load } if ] cvx newpath 3 1 roll T exec } def % /NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch cvi def } def /NArray { % holds the coordinates and on top of stack the showpoints boolean /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 /Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx setmatrix } def % DG modification begin - Jan. 15, 1997 %/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq { %pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 %div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0 %d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx %setmatrix } def /Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0 d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx % DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) % setmatrix } def setmatrix pop } def % DG/SR modification end /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 /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 /FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix rotate matrix concatmatrix exch findfont exch makefont setfont } 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 /BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def /OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6 2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto } ifelse } def /ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv { 6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def /BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1 sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore } 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 { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 } if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if /dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div round 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 systemdict /setstrokeadjust known { true setstrokeadjust /t { } def } { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i 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 dup t f moveto g t L stroke /i i w add def } repeat grestore gsave n 0 gt % DG/SR modification begin - Nov. 7, 1997 - Patch 1 %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } % DG/SR modification end { 2 setlinecap } ifelse /i y1 def /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i 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 dup f exch t moveto g exch t L stroke /i i h add def } repeat 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 % /ArcAdjust { %%%% Vincent Guirardel % given a target length (targetLength) and an initial angle (angle0) [in the stack], % let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). % This computes an angle t such that (x0,y0) is at distance % targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). % NOTE: this an absolute angle, it does not have to be added or substracted to angle0 % contrary to TvZ's code. % To achieve, this, one iterates the following process: start with some angle t, % compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. % Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. % % Another difference with TvZ's code is that we need d (=add/sub) to be defined. % the value of d = add/sub is used to know on which side we have to move. % It is only used in the initialisation of the angle before the iteration. % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Input stack: 1: target length 2: initial angle % variables used : rx, ry, d (=add/sub) % /targetLength ED /angle0 ED /x0 rx angle0 cos mul def /y0 ry angle0 sin mul def % we are looking for an angle t such that (x0,y0) is at distance targetLength % from the point M(t)=(rx*cos(t),ry*sin(t))) %initialisation of angle (using 1st order approx = TvZ's code) targetLength 57.2958 mul angle0 sin rx mul dup mul angle0 cos ry mul dup mul add sqrt div % if initialisation angle is two large (more than 90 degrees) set it to 90 degrees % (if the ellipse is very curved at the point where we draw the arrow, % % the value can be much more than 360 degrees !) % this should avoid going on the wrong side (more than 180 degrees) or go near % a bad attractive point (at 180 degrees) dup 90 ge { pop 90 } if angle0 exch d % add or sub % maximum number of times to iterate the iterative procedure: % iterative procedure: takes an angle t on top of stack, computes a % better angle (and put it on top of stack) 30 { dup % compute distance D between (x0,y0) and M(t) dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt % if D almost equals targetLength, we stop dup targetLength sub abs 1e-5 le { pop exit } if % stack now contains D t % compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: % M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) exch dup cos rx mul x0 sub exch sin ry mul y0 sub % stack contains: y(t)-y0, x(t)-x0, d 2 index Div targetLength mul y0 add ry Div exch 2 index Div targetLength mul x0 add rx Div % stack contains x(t')/rx , y(t')/ry , d % now compute t', and remove D from stack atan exch pop } repeat % we don't look at what happened... in particular, if targetLength is greater % than the diameter of the ellipse... % the final angle will be around /angle0 + 180. maybe we should treat this pathological case... % after iteration, stack contains an angle t such that M(t) is the tail of the arrow % to give back the result as a an angle relative to angle0 we could add the following line: % angle0 sub 0 exch d % % begin bug fix 2006-01-11 % we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 %(we don't want to make the ellipse turn more or less than it should)... dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse % end bug fix } def % /EllipticArcArrow { /d ED % add/sub /b ED % arrow procedure /a1 ED % angle gsave newpath 0 -1000 moveto clip % Set clippath far from arrow. newpath 0 1 0 0 b % Draw arrow to determine length. grestore % Length of arrow is on top of stack. Next 3 numbers are junk. % a1 exch ArcAdjust % Angular position of base of arrow. /a2 ED pop pop pop a2 cos rx mul x add a2 sin ry mul y add a1 cos rx mul x add a1 sin ry mul y add % Now arrow tip coor and base coor are on stack. b pop pop pop pop % Draw arrow, and discard coordinates. a2 CLW 8 div % change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse ArcAdjust % resets original value of d 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. } def %%------------------ tvz/DG/hv (2004-05-10) end -------------------%% % /Rot { CP CP translate 3 -1 roll neg rotate NET } def /RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle dup a add ] cvx def } def /RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ] cvx def } def /PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def /PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def /PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx 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 { Visible /IfVisible true def } if } { IfVisible { Invisible /IfVisible false def } if } ifelse } def /InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def /Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def /IfVisible true def } def end % END pstricks.pro %%EndProcSet %%BeginProcSet: pst-dots.pro 0 0 %! %% PostScript prologue for pstricks.tex. %% Version 2.00, Suggestion of 2006/12/19 %% For distribution, see pstricks.tex. %% %% Timothy Van Zandt %% %% Modified by Etienne Riga - Dec. 16, 1999 %% Modified by Herbert Voss (hv) - 2004/12/27 %% Modified by Etienne Riga - 2005/01/01 (er) %% to add /Diamond, /SolidDiamond and /BoldDiamond % 10 dict dup begin /FontType 3 def /FontMatrix [.001 0 0 .001 0 0] def /FontBBox [-571.5 -742.5 571.5 742.5] def % /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph /Encoding 256 array def 0 1 255 {Encoding exch/.notdef put} for Encoding dup (b) 0 get /Bullet put dup (c) 0 get /Circle put dup (C) 0 get /BoldCircle put dup (u) 0 get /SolidTriangle put dup (t) 0 get /Triangle put dup (T) 0 get /BoldTriangle put dup (r) 0 get /SolidSquare put dup (s) 0 get /Square put dup (S) 0 get /BoldSquare put dup (q) 0 get /SolidPentagon put dup (p) 0 get /Pentagon put dup (P) 0 get /BoldPentagon put %%% dup (k) 0 get /Asterisk put dup (K) 0 get /BoldAsterisk put dup (J) 0 get /SolidAsterisk put dup (h) 0 get /Hexagon put dup (H) 0 get /BoldHexagon put dup (G) 0 get /SolidHexagon put dup (a) 0 get /Add put dup (A) 0 get /BoldAdd put dup (x) 0 get /Mul put dup (X) 0 get /BoldMul put dup (m) 0 get /Oplus put dup (M) 0 get /BOplus put dup (e) 0 get /SolidOplus put dup (n) 0 get /Otimes put dup (N) 0 get /BOtimes put dup (E) 0 get /SolidOtimes put dup (i) 0 get /Bar put dup (I) 0 get /BoldBar put dup (l) 0 get /SolidDiamond put dup (d) 0 get /Diamond put (D) 0 get /BoldDiamond put %%% /CharProcs 47 dict def CharProcs begin /CirclePath {0 0 500 0 360 arc closepath} def /Bullet {CirclePath fill} def /Circle {CirclePath .9 .9 scale CirclePath eofill} def /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def /SolidTriangle {TrianglePath fill} def /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def /SolidSquare {SquarePath fill} def /Square {SquarePath .89 .89 scale SquarePath eofill} def /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def /PentagonPath {-337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto 0 574.7 lineto -546.6 177.6 lineto closepath} def /SolidPentagon {PentagonPath fill} def /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def %-------------- hv begin 2004/07/25 from: er 2003/03/24 /HexagonPath {0 550 moveto -476 275 lineto -476 -275 lineto 0 -550 lineto 476 -275 lineto 476 275 lineto closepath} def /SolidHexagon {HexagonPath fill} def /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def /AsteriskPath {20 0 moveto 10 250 180 500 0 500 curveto -180 500 -10 250 -20 0 curveto closepath} def /Asterisk {AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill} def /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def /BoldAsteriskPath {50 30 cos 100 mul moveto Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp closepath} def /BoldAsterisk {BoldAsteriskPath fill} def /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def /CrossPath {40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath} def /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath} def /Add {CrossPath fill} def /Mul {45 rotate CrossPath fill} def /BoldAdd {BoldCrossPath fill} def /BoldMul {45 rotate BoldCrossPath fill} def /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill} def /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def /Bar {BarPath fill} def /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def /BoldBar {BoldBarPath fill} def /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def /SolidDiamond {DiamondPath fill} def /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def %%% /.notdef { } def end /BuildGlyph { exch begin % Metrics 1 index get exec 0 0 0 % BBoxes 3 index get exec -1000 -1000 1000 1000 % -571.5 -742.5 571.5 742.5 setcachedevice CharProcs begin load exec end end } def /BuildChar { 1 index /Encoding get exch get 1 index /BuildGlyph get exec } bind def end /PSTricksDotFont exch definefont pop %%EndProcSet %%BeginProcSet: pst-bar.pro 0 0 %! % PostScript prologue for pst-bar.tex. % Version 0.2, 2004/08/22 % For distribution, see pstricks.tex. % /tx@BarDict 5 dict def tx@BarDict begin % % transpose -- Matrix transpose % /transpose { /X exch def /row X length def /col X 0 get length def [ /i 0 def col { [ /j 0 def row { X j get i get /j j 1 add def } repeat /i i 1 add def ] } repeat ] } def % end % END pst-bar.pro %%EndProcSet %%BeginProcSet: pst-grad.pro 0 0 %! % PostScript prologue for pst-grad.tex. % Version 1.05, 2006/11/04 % prepared by Herbert Voss % For copying restrictions, see pstricks.tex. % % For the PSTricks gradient fillstyle.% % Based on some EPS files by leeweyr!bill@nuchat.sccsi.com (W. R. Lee).% % Syntax:% D.G. modification begin - Apr. 9, %1998 %%%%%% R0 G0 B0 R1 G1 B1 NumLines MidPoint Angle GradientFill % ifGradientCircle GradientScale %GradientPosX GradientPosY % R0 G0 B0 R1 G1 B1 NumLines MidPoint %Angle GradientFill % D.G. modification end % /tx@GradientDict 40 dict def tx@GradientDict begin /GradientFill { rotate /MidPoint ED /NumLines ED /LastBlue ED /LastGreen ED /LastRed ED /FirstBlue ED /FirstGreen ED /FirstRed ED % D.G. modification begin - Apr. 9, 1998 /GradientPosY ED /GradientPosX ED /GradientScale ED /ifGradientCircle ED % D.G. modification end % This avoids gaps due to rounding errors: clip pathbbox %leave llx,lly,urx,ury on stack % D.G. modification begin - Apr. 10, 1998 4 copy /ury ED /urx ED /lly ED /llx ED % D.G. modification end /y ED /x ED % D.G. modification begin - Apr. 10, 1998 ifGradientCircle {0 GradientPosX eq {0 GradientPosX eq {2 copy translate} if} if} {2 copy translate} ifelse % D.G. modification end y sub neg /y ED x sub neg /x ED % This avoids gaps due to rounding errors: LastRed FirstRed add 2 div LastGreen FirstGreen add 2 div LastBlue FirstBlue add 2 div setrgbcolor % D.G. modification begin - Jul. 23, 1997 / Apr. 9, 1998 ifGradientCircle {/YSizePerLine y NumLines div def /CurrentY y 2 div def /MidLine NumLines 2 div 1 MidPoint sub mul abs cvi def} {fill /YSizePerLine y NumLines div def /CurrentY 0 def /MidLine NumLines 1 MidPoint sub mul abs cvi def} ifelse % DG modification end MidLine NumLines 2 sub gt { /MidLine NumLines def } { MidLine 2 lt { /MidLine 0 def } if } ifelse MidLine 0 gt { /Red FirstRed def /Green FirstGreen def /Blue FirstBlue def /RedIncrement LastRed FirstRed sub MidLine 1 sub div def /GreenIncrement LastGreen FirstGreen sub MidLine 1 sub div def /BlueIncrement LastBlue FirstBlue sub MidLine 1 sub div def MidLine { GradientLoop } repeat } if MidLine NumLines lt { /Red LastRed def /Green LastGreen def /Blue LastBlue def /RedIncrement FirstRed LastRed sub NumLines MidLine sub 1 sub div def /GreenIncrement FirstGreen LastGreen sub NumLines MidLine sub 1 sub div def /BlueIncrement FirstBlue LastBlue sub NumLines MidLine sub 1 sub div def NumLines MidLine sub { GradientLoop } repeat } if } def/GradientLoop { % D.G. modification begin - Jul. 23, 1997 / Apr. 9, 1998 ifGradientCircle {CurrentY 0 gt { % The default center used is the center of the bounding box of the object 0 GradientPosX eq {0 GradientPosX eq {/GradientPosX urx llx sub 2 div def /GradientPosY ury lly sub 2 div def} if} if GradientPosX GradientPosY CurrentY GradientScale mul 0 360 arc Red Green Blue setrgbcolor fill /CurrentY CurrentY YSizePerLine sub def /Blue Blue BlueIncrement add def /Green Green GreenIncrement add def /Red Red RedIncrement add def} if} {0 CurrentY moveto x 0 rlineto 0 YSizePerLine rlineto x neg 0 rlineto closepath Red Green Blue setrgbcolor fill /CurrentY CurrentY YSizePerLine add def /Blue Blue BlueIncrement add def /Green Green GreenIncrement add def /Red Red RedIncrement add def} ifelse% D.G. modification end }def % /GradientFillHSB { % hv 2006-11-04 rotate /MidPoint ED /NumLines ED /LastBrightness ED /LastSaturation ED /LastHue ED /FirstBrightness ED /FirstSaturation ED /FirstHue ED % This avoids gaps due to rounding errors: clip pathbbox %leave llx,lly,urx,ury on stack /y ED /x ED 2 copy translate y sub neg /y ED x sub neg /x ED % This avoids gaps due to rounding errors: LastHue FirstHue add 2 div LastSaturation FirstSaturation add 2 div LastBrightness FirstBrightness add 2 div sethsbcolor fill /YSizePerLine y NumLines div def /CurrentY 0 def /MidLine NumLines 1 MidPoint sub mul abs cvi def MidLine NumLines 2 sub gt { /MidLine NumLines def } { MidLine 2 lt { /MidLine 0 def } if } ifelse MidLine 0 gt { /Hue FirstHue def /Saturation FirstSaturation def /Brightness FirstBrightness def /HueIncrement LastHue FirstHue sub MidLine 1 sub div def /SaturationIncrement LastSaturation FirstSaturation sub MidLine 1 sub div def /BrightnessIncrement LastBrightness FirstBrightness sub MidLine 1 sub div def MidLine { GradientLoopHSB } repeat } if MidLine NumLines lt { /Hue LastHue def /Saturation LastSaturation def /Brightness LastBrightness def /HueIncrement FirstHue LastHue sub NumLines MidLine sub 1 sub div def /SaturationIncrement FirstSaturation LastSaturation sub NumLines MidLine sub 1 sub div def /BrightnessIncrement FirstBrightness LastBrightness sub NumLines MidLine sub 1 sub div def NumLines MidLine sub { GradientLoopHSB } repeat } if } def /GradientLoopHSB { 0 CurrentY moveto x 0 rlineto 0 YSizePerLine rlineto x neg 0 rlineto closepath Hue Saturation Brightness sethsbcolor fill /CurrentY CurrentY YSizePerLine add def /Brightness Brightness BrightnessIncrement add def /Saturation Saturation SaturationIncrement add def /Hue Hue HueIncrement add def } def % end % % END pst-grad.pro %%EndProcSet %%BeginProcSet: pst-node.pro 0 0 %! % PostScript prologue for pst-node.tex. % Version 97 patch 1, 97/05/09. % For distribution, see pstricks.tex. % /tx@NodeDict 400 dict def tx@NodeDict begin tx@Dict begin /T /translate load def end /NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def } if 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 { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED /NodePos { GetRnodePos } def } def /DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup Cos mul exch Sin mul } def /TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul } ifelse } def /InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan sin def /NodePos { TriNodePos } def } def /OvalNodePos { /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 /XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg } { 0 Dist Sin mul } ifelse } ifelse Do } def /GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse } def /AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse } def /GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA AddOffset yA add /yA1 ED xA add /xA1 ED } def /GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB AddOffset yB add /yB1 ED xB add /xB1 ED } def /GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED } ifelse } def /GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED } ifelse } def /InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED /NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def /LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def /LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop } repeat LPutLine cleartomark } 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 /NAngle ED /Y ED /X ED } def /HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def } def /HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def /NAngle yyB yyA sub xxB xxA sub Atan def } def /HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def /HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def } ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd } def /VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def } def /VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def /NAngle yyB yyA sub xxB xxA sub Atan def } def /VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def /VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def } ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark VPosEnd } def /HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx def grestore exec /LPutVar /SaveLPutVar load def } def /NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { LPutVar VPutLine } def LPutVar } def /NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop end } def /NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan /AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } ifelse } def /NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines } HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def /NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def /NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1 tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def /NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def } { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def /NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def /NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def /NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2 mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3 mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def % DG/SR modification begin - May 9, 1997 - Patch 1 %/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r %r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add %exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 %mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED /NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED % DG/SR modification end } def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r Div def /y ED /x ED } def /NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB 180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def /LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos { xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar tx@Dict begin false Polygon end } def /NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2 mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def /x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0 eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn } { x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def 0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2 roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0 0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2 roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat } ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos { LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le { r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC } { t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos { LPutPos } def } def /Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos { LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } { pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin /ArrowA { moveto } def /ArrowB { } def false Line closepath end } def /LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg exch X sub neg exch moveto setmatrix CP grestore } def /LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse LPutCoor } def /HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg } if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop } ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED } def /VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop } ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED } def end % END pst-node.pro %%EndProcSet %%BeginProcSet: pstricks-add.pro 0 0 %! % PostScript prologue for pstricks-add.tex. % Version 0.10, 2006/10/15 % For distribution, see pstricks.tex. % % HISTORY -> see file Changes % tx@Dict begin % make it global for TeX %% Pi and Euler are defined in pstricks.pro /psTan { dup cos abs 1.e-10 lt { pop 1.e10 } % return 1.e10 as infinit { dup sin exch cos div } ifelse % default sin/cos } def /PIdiv2 1.57079632680 def end % /tx@addDict 410 dict def tx@addDict begin %% parser %% str -> [ LIFO vector ] /AlgParser { tx@AlgToPs begin AlgToPs end } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /GTriangle { gsave /mtrx CM def /colorA ED /colorB ED /colorC ED % save the colors /yA ED /xA ED % save the origin xA yA translate rotate % \psk@gangle /yB ED /xB ED /yC ED /xC ED % save other coordinates /ds [ % save data in a array 0 0 0 colorA aload pop % fd x y xr xg xb 0 xB xA sub yB yA sub colorB aload pop 0 xC xA sub yC yA sub colorC aload pop % 1 xC xB add yB colorA aload pop % for use with 4 points ABCD ] def newpath << /ShadingType 4 % single Gouraud /ColorSpace [ /DeviceRGB ] /DataSource ds >> shfill closepath mtrx setmatrix grestore} def % %% convertisseur longueur d'onde ->R,G,B Manuel Luque %% lambda max=780 nanomčtres %% lambda min=380 nanomčtres %% adaptation de : %% http://www.physics.sfasu.edu/astro/color.html %% www.efg2.com/lab % /Gamma 0.8 def /calculateRGB { lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if lambda 380 ge {lambda 439 le { /R {lambda 440 sub neg 440 380 sub div} def /Red R factor mul Gamma exp def /G 0 def /Green G factor mul Gamma exp def /B 1 def /Blue B factor mul Gamma exp def} if } if lambda 440 ge { lambda 489 le { /G {lambda 440 sub 490 440 sub div} def /Green G factor mul Gamma exp def /R 0 def /Red 0 def /B 1 def /Blue B factor mul Gamma exp def } if } if lambda 490 ge {lambda 509 le { /B {lambda 510 sub neg 510 490 sub div} def /Blue B factor mul Gamma exp def /R 0 def /Red 0 def /G 1 def /Green G factor mul Gamma exp def } if } if lambda 510 ge {lambda 579 le { /R {lambda 510 sub 580 510 sub div } def /Red R factor mul Gamma exp def /Blue 0 def /G 1 def /Green G factor mul Gamma exp def } if } if lambda 580 ge {lambda 644 le { /G {lambda 645 sub neg 645 580 sub div } def /Green G factor mul Gamma exp def /Blue 0 def /R 1 def /Red R factor mul Gamma exp def } if } if lambda 645 ge { lambda 780 le { /Red 1 factor mul Gamma exp def /Blue 0 def /Green 0 def } if } if } def % /factor { lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if lambda 420 ge {lambda 700 le { 1 } if } if lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if } def % /wavelengthToRGB { % the wavelength in nm must be on top of the stack cvi /lambda exch def % no floating point here calculateRGB } def % now the colors are saved in Red Green Blue % /axfill { 8 dict begin /xw exch def /nl exch def /C1 exch def /y1 exch def/x1 exch def /C0 exch def /y0 exch def/x0 exch def << /ShadingType 2 /ColorSpace /DeviceRGB /Coords [ x0 y0 x1 y1 ] /EmulatorHints [ xw 2 div dup ] /Function << /FunctionType 2 /Domain [0 1] /C0 C0 /C1 C1 /N 1 >> >> shfill end } bind def systemdict /shfill known not { /Emulate_shfill 32 dict def Emulate_shfill begin /NumberOfLayers 128 def /assert { not { (assert) /typecheck signalerror} if } bind def /assert /pop load def % generic interpolation % takes two n-arrays, returns a hopefully optimized procedure taking one % argument, and returning a correct blend of the two arrays (hence an % n-array) /interpolating_function { 10 dict begin /a1 exch def /a0 exch def a0 length a1 length eq assert [ /mark load /exch load 0 1 a0 length 1 sub { /i exch def /dup load a1 i get a0 i get sub /mul load a0 i get /add load /exch load } for /pop load (]) cvn load ] cvx end } bind def % Emulates (rather poorly) a radial or axial fill. % For radial fills, we _require_ that the inner circle be specified % first. % For axial fills, the ``Extend'' behaviour is ignored, and we _require_ % an additional parameters in the dictionary, named EmulatorHints. It's a % 2-array denoting the left and right extent of the area to paint. These % are taken as multiples of the vector orthogonal to the direction vector. /xshfill { begin gsave % do some checks. Function begin FunctionType 2 eq assert Domain 0 get 0 eq Domain 1 get 1 eq and assert end ColorSpace setcolorspace % we assume ll2 at least, so that dicts can be extended. anyway % the syntax we request is ll2 only. /mkcol Function begin C0 C1 end interpolating_function bind def ShadingType 3 eq { /mkcoords [ Coords cvx exec 7 3 roll ] [ 5 -3 roll ] interpolating_function bind def /one { newpath mkcoords cvx dup exec 3 -1 roll add exch moveto exec 0 360 arc fill } bind def } if ShadingType 2 eq { /dv [ Coords cvx exec exch 4 1 roll exch sub 3 1 roll sub exch ] cvx def % normal vector /nv [ dv neg exch ] cvx def /mkcoords [ Coords cvx exec 5 2 roll nv exch 4 -1 roll exch EmulatorHints 0 get mul add 3 1 roll EmulatorHints 0 get mul add ] [ 4 -2 roll nv exch 4 -1 roll exch EmulatorHints 0 get mul add 3 1 roll EmulatorHints 0 get mul add ] interpolating_function % rescale to adapt to our reverse scan behaviour. /dv [ dv neg NumberOfLayers div exch neg NumberOfLayers div exch ] cvx def /bnv [ nv EmulatorHints cvx exec add mul exch EmulatorHints cvx exec add mul exch ] cvx def /nv [ bnv neg exch neg exch ] cvx def bind def /one { newpath mkcoords cvx exec moveto nv rlineto dv rlineto bnv rlineto closepath fill } bind def } if % The space is traversed backwards, since it is more customary % for me at least to put the inner circle first for radial fills. % For axial fills, this does not matter afaict. 1 1 NumberOfLayers div neg 0 { dup Function /N get exp mkcol cvx exec setcolor one } for grestore end } bind def end userdict /shfill { Emulate_shfill begin xshfill end } bind put } if end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12 % E->T|E+T % T->FS|T*FS % FS -> F | +FS | -FS % F->P|F^SF % P->(E)|literal % literal->number|var|var[E]|func(params) % params->E|E,param % number->TOBEFINISHED %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% E expression, T term, SF signed factor, F factor, P power %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% parser %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% str %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% C->EE %% STR index -> STR index+lenExpr /AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% analyze Expression List (separator , or | ) %% STR index -> STR index+lenExpr %% /AnalyzeListOfE { %% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar %% NextNonBlankChar dup 0 eq { pop exit } if %% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if %% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop %% AnalyzeListOfEPostHook %% } def /AnalyzeListOfE { /NotFirst false def { NextNonBlankChar pop AnalyzeExpr NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse dup Strlen eq { exit } if NextNonBlankChar dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if pop 1 add } loop AnalyzeListOfEPostHook } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% E->T|E+T %% STR index -> STR index+lenExpr /AnalyzeExpr { AnalyzePreHook AnalyzeTerm IsEndingExpr { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } ifelse AnalyzePostHook } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% T->FS|T*FS %% STR index /AnalyzeTerm { AnalyzePreHook AnalyzeSignedFactor IsEndingTerm { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } ifelse AnalyzePostHook } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% FS -> F | +FS | -FS %% STR index /AnalyzeSignedFactor { AnalyzePreHook 2 copy get dup IsUnaryOp { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } { pop AnalyzeFactor } ifelse AnalyzePostHook } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% F->P|F^P %% STR index /AnalyzeFactor { AnalyzePreHook AnalyzePower IsEndingFactor { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower IsEndingFactor { pop exit } if} loop } ifelse AnalyzePostHook } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% P->(E)|literal %% STR index /AnalyzePower { %% depending of first char either a number, or a literal 2 copy get dup 40 eq%%an open par { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } { AnalyzeLiteral } ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% STR index STR[index] -> STR index %/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def /AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% recognize + or - %% chr -> T/F /IsUnaryOp { dup 43 eq exch 45 eq or } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% a number can contain only : 0123456789. %% chr -> T/F /IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% STR index -> STR index number %% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? %% STR index -> STR index' number /ReadNumber { exch dup 3 -1 roll dup 3 1 roll %%read mantissa { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop dup 101 eq exch 69 eq or %%% there is a "e" or "E" -> read exponant { 1 add 2 copy get dup IsUnaryOp { pop 1 add 2 copy get } if { IsNumber not { exit } if 1 add 2 copy get } loop } if dup 4 1 roll 3 -1 roll exch 1 index sub getinterval } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% a number can contain only : 0123456789. %% chr -> T/F /IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% STR index -> STR index number %% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? %% STR index -> STR index' number /ReadCondOp { NextNonBlankChar 1 index 4 1 roll { IsCondOp not { exit } if 1 add 2 copy get } loop 2 copy 5 -1 roll exch 1 index sub getinterval 3 1 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% a literal can contain only : 0123456789. %% chr -> T/F /IsLiteral {% dup 48 ge exch dup 57 le 3 -1 roll and exch dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch dup 97 ge exch 122 le and or } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? %% STR index -> literal STR index' nextchr /ReadLiteral { exch dup 3 -1 roll dup 3 1 roll %%read literal core { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% expr is ended by end of str or a clpar %% STR index -> STR index STR[index] T/F /IsEndingExpr {% 2 copy dup Strlen eq %% if end of str is reached -> end ! { pop pop 0 true } %% ending chr -> clpar, comma, |, <, >, =, !, {get dup dup 41 eq exch dup 124 eq exch dup 93 eq exch dup 44 eq exch dup 30 eq exch dup 60 ge exch 62 le and or or or or or} ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% expr is ended by end of str or a +- %% STR index -> STR index STR[index] T/F /IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% expr is ended by end of str or */ %% STR index -> STR index STR[index] T/F /IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% expr is ended by end of str or ^ %% STR index -> STR index STR[index] T/F /IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% STR index -> STR index STR[index] /NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def /neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def %%%%%%%%%%%%%%%%%%%%%%%% %% DEBUG /BRK {false} def /BRKtrue {/BRK true def} def /BRKStop {BRK {BRKtoto} if } def /BRKEvalStop {BRK exch if } def /BRKBRK2true {BRK {BRK2true} if } def /BRK2 {false} def /BRK2true {/BRK2 true def} def /BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def end %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /tx@AlgToPs 12 dict def tx@AlgToPs begin %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% algExpr -> PSVector /AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def /EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def /InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def /Strlen 0 def /EvalListOfExpr {} def% /EvalNumber {% ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx exch 1 add array astore def NextNonBlankChar pop } def /EvalAddSub {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def } def /EvalMulDiv {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def } def /EvalPower {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll pop /exp cvx exch 1 add array astore def } def /EvalLiteral {% ReadLiteral dup 40 eq%%% there is an open par -> function call { pop 2 index dup (Sum) eq { EvalSum } { dup (IfTE) eq { EvalCond } { dup (Derive) eq { pop EvalDerive } { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def dup 91 eq%%% there is an open bracket -> vector element { pop 1 add NextNonBlankChar pop AnalyzeExpr /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } { pop NextNonBlankChar pop } ifelse} ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% the derive function : Derive(n,f(x)) %% firstparindex lastparindex -> /EvalDerive { %% manage the function descripiton 1 add ReadNumber 3 1 roll NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if 1 add NextNonBlankChar pop 3 -1 roll cvi dup 0 eq { pop AnalyzeExpr 3 -1 roll pop 1 add } { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll { (x) tx@Derive begin Derive end } repeat ExpressionVector exch /ExpressionVector [] def AlgToPs aload length /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add 1 index length /Strlen exch def } ifelse } def /EvalSum {% pop 1 add NextNonBlankChar pop %% read the variable name ReadLiteral pop NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if %% read the initial value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the increment value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the limit value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll 5 -1 roll 4 add array astore def %% keep ExpressionVector for later and create a new one for internal Sum computation ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def 1 add NextNonBlankChar pop AnalyzeExpr %% add each term /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add array astore def 3 -1 roll pop 1 add } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Convert to radians if trigo function call %% (name) -> /TrigoFunc { dup (cos) eq 1 index (sin) eq or exch (tan) eq or { /ExpressionVector ExpressionVector aload length 3.14159265359 /div cvx 180 /mul cvx 5 -1 roll 4 add array astore def } if } def /EvalCond {% pop 1 add AnalyzeCond NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if ExpressionVector 3 1 roll /ExpressionVector [] def 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if 1 add AnalyzeExpr NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if ExpressionVector /ExpressionVector 6 -1 roll aload length dup 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def 1 add 3 -1 roll pop } def %% CondOp STR index /EvalCondOp {% 3 -1 roll dup (=) eq { /eq } {% dup (<) eq { /lt } {% dup (>) eq { /gt } {% dup (>=) eq { /ge } {% dup (<=) eq { /ge } {% dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } ifelse } ifelse } ifelse } ifelse } ifelse } ifelse cvx exch pop /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def /EvalUnaryOp { 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% H O O K S /AnalyzePreHook {} bind def /PreEvalHook {} bind def /AnalyzeListOfEPostHook {} bind def /AnalyzePostHook {} def /RollOp { 3 1 roll } bind def end%%%tx@CoreAnalyzerDict %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /tx@Derive 41 dict def tx@Derive begin %%increase ^^ for each function added %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% algExpr variable -> PSVector /Derive {% 10240 string 3 1 roll 0 3 1 roll /Variable exch def tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end } def /Strlen 0 def /InitParser { dup length /Strlen exch def 0 } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% algExpr variable index -> PSVector /DeriveIndexed {% 3 1 roll 10240 string 3 1 roll 0 3 1 roll /Variable exch def tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u,v)'=-(u',v') /EvalListOfExpr {% 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe 2 copy 7 -1 roll dup length 4 1 roll putinterval add 6 -2 roll pop pop 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (-u)'=-(u') /EvalUnaryOp { 4 -2 roll 4 index (0) eq { (0) StrConcat 7 -1 roll pop } { 7 -1 roll 45 eq { AddSub AddOpPar true } { false } ifelse 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (number)'=0 /EvalNumber { ReadNumber (0) 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u+v)'=u'+v' /EvalAddSub {% 7 index dup (0) eq { pop true }%% du=0 nothing added { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } ifelse 5 index dup (0) eq { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 { exch { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added { 5 -2 roll 7 index 43 eq%%something yet added { AddAdd false } { AddSub AddOpPar true } ifelse } ifelse 11 1 roll 3 -1 roll StrConcat 10 -1 roll { AddClPar } if 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u*v)' or (u/v)' /EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u*v)'=u'*v+u*v' /EvalMul {% 4 -2 roll 7 index dup (0) eq { pop false }%%du=0 { (1) eq%%du=1 { false } { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if true }%%du!=0 ifelse 5 1 roll 5 index (0) eq { 5 -1 roll not { (0) StrConcat } if }%%dv=0 { 5 -1 roll { AddAdd } if 4 index (1) eq { 8 index StrConcat } { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } ifelse }%%dv!=0 ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u/v)'=(u'*v-u*v')/v^2 /EvalDiv {% 4 -2 roll 4 index (0) eq%%dv=0 -> u'/v { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } { 7 index dup (0) eq { pop }%%du=0 { (1) eq%%du=1 { false } { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 ifelse AddSub 4 index (1) eq { 8 index StrConcat } { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } ifelse %}%%dv!=0 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% str1 index str2 -> str1 index /StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def /GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) /EvalPower {% 4 -2 roll 7 index (0) eq {%%if du=0 then (u^v)'=v'ln(u)u^v 4 index (0) eq { (0) StrConcat }%%if dv=0 then (u^v)'=0 { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse } {%%du!=0 4 index (0) eq {%%if dv=0 then (u^v)'=vu'u^(v-1) 5 index dup IsStrNumber { dup (0) eq { StrConcat } { dup dup (1) eq exch (1.0) eq or { StrConcat } { StrConcat 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 (*\() StrConcat 8 index StrConcat (\)) StrConcat 5 index dup dup (2) eq exch (2.0) eq or { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (-1\)) StrConcat } ifelse } {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (-1\)+\() StrConcat 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (\)*ln\() StrConcat 8 index StrConcat AddClPar } ifelse } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% str -> true/false /IsStrNumber {% true exch { dup 48 lt exch dup 57 gt 3 -1 roll or exch dup 46 ne%%. exch dup 43 ne%%+ exch 45 ne%%- and and and { pop false } if } forall } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% literal switch -> func call, vector, variables /EvalLiteral {% ReadLiteral dup 40 eq%%% there is an open par -> function call { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } { dup 91 eq%%% there is an open bracket -> vector element { ERROR_vector_not_yet_implemented } { pop EvalVariable } ifelse } ifelse } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% first last parpos Expr[first:parpos-1] -> /EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% (f(u))'=u'f'(u) /EvalFunc { 4 2 roll 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Func derivative -> Eval /EvalFunc_sin {% PreCommonFunc { (cos\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_cos {% PreCommonFunc { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_tan {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if PostCommonFunc } def /EvalFunc_asin {% PreCommonFunc { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_acos {% PreCommonFunc { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_atg {% PreCommonFunc { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_ln {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_exp {% PreCommonFunc { (exp\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_sqrt {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Fact {% PreCommonFunc { ERROR_no_variable_expression_in_Fact } if PostCommonFunc } def /EvalFunc_sh {% PreCommonFunc { (ch\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_ch {% PreCommonFunc { (sh\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_th {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if PostCommonFunc } def /EvalFunc_Argsh {% PreCommonFunc { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Argch {% PreCommonFunc { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Argth {% PreCommonFunc { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /PreCommonFunc { 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop 4 2 roll 4 index (0) eq { (0) StrConcat false } { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse } def /PostCommonFunc { 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalFunc_Derive {% 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% literal switch -> func call, vector, variables /EvalFunc_Sum {% 1 add NextNonBlankChar pop %% read the variable name ReadLiteral pop 3 -1 roll pop NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if %% read the initial value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the increment value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if %% read the limit value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat 4 index StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% literal switch -> func call, vector, variables /EvalFunc_IfTE {% 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if 1 add NextNonBlankChar pop dup 5 1 roll AnalyzeExpr NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% advance in str until a comma is found (no error detection!) %% str index -> str index' /SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Convert to radians if trigo function call %% (name) -> /TrigoFunc { dup (cos) eq 1 index (sin) eq or exch (tan) eq or { /ExpressionVector ExpressionVector aload length 3.14159265359 /div cvx 180 /mul cvx 5 -1 roll 4 add array astore def } if } def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% No derivative for condition.... /EvalCondOp { 3 -1 roll pop } bind def /PutIntervalOneAdd {putinterval 1 add} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add open parenthesis in string at the given index %% str index -> str index+1 /AddOpPar {2 copy (\() PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add close parenthesis in string at the given index %% str index -> str index+1 /AddClPar {2 copy (\)) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add 0 in string at the given index %% str index -> str index+1 /AddZero {2 copy (0) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add open parenthesis in string at the given index %% str index -> str index+1 /AddMul {2 copy (*) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add open parenthesis in string at the given index %% str index -> str index+1 /AddDiv {2 copy (/) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add a plus sign in string at the given index %% str index -> str index+1 /AddAdd {2 copy (+) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add a minus sign in string at the given index %% str index -> str index+1 /AddSub {2 copy (-) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Add a pipe sign in string at the given index %% str index -> str index+1 /AddPipe {2 copy (|) PutIntervalOneAdd} bind def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% H O O K S /AnalyzePreHook { dup 5 1 roll } bind def /PreEvalHook {} def /AnalyzePostHook { 7 -1 roll pop } bind def /AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def /RollOp { 5 1 roll } bind def end%%%tx@CoreAnalyzerDict /tx@AddMathFunc 12 dict def tx@AddMathFunc begin %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% NEW FUNC %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) %% x -> theta /asin {% dup abs 1 gt { EQDFasinrangeerror } if dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if 90 div 1.57079632680 mul } def %% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) %% x -> theta /acos {% dup abs 1 gt { EQDFacosrangeerror } if dup dup mul 1 exch sub sqrt exch atan 90 div 1.57079632680 mul } def %% function arctangent in radians %% x -> theta /atg { 1 atan dup 90 gt { 360 sub } if 90 div 1.57079632680 mul } bind def %% HYPERBOLIC FUNCTIONS /sh { dup Ex exch neg Ex sub 2 div } def /ch { dup Ex exch neg Ex add 2 div } def /th { dup sh exch ch div } def /Argsh { dup dup mul 1 add sqrt add ln } def /Argch { dup dup mul 1 sub sqrt add ln } def /Argth { dup 1 add exch 1 exch sub div ln 2 div } def %% modified exponential funtion for 0 %% x n -> x^n /Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def %% modified exponential funtion for 0 %% x -> e^x /Ex { 2.71828182846 exch exp } 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All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /bullet put readonly def /FontBBox{-30 -955 1185 779}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 3 /asteriskmath put readonly def /FontBBox{-4 -948 1329 786}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put readonly def /FontBBox{-30 -958 1146 777}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /epsilon1 put dup 61 /slash put readonly def /FontBBox{11 -250 1241 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 71 /G put dup 72 /H put dup 78 /N put dup 90 /Z put readonly def /FontBBox{-55 -420 2343 920}readonly def currentdict end currentfile eexec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2DA9846A468A99A5A8A8FD19392F41B37F94518E3B3C4087DEA161CE0653A183 BAF23CB1B436911CC124D1D779BAF08B69ECC9CEB3ECF83D8B944CED8F742DED 64556FDF350A0ECF0F3968E8DB14CE047ECDC90E22668A3A1C1F01BED5A316DF 20C6097DCEFADCB265B9540C38AEB686C65BCD6E91AC627B90C72E85DE4F0DFA 7FC94798521C5C4BF97FA71FFDC81BD49A64B122BEF6F855DC9C4989CCEC93E2 4462C9F53F9823220C72991FE69E49857D01D6BDC46890D0C7FC5D6CE9737B4F FE463D8B5B5B1A295AB8D7EDBFD9D4CA8240B1214FD1E9D45768337C824CB816 F57445B7284C3B785C382EAAFB5253D4D1CD05469DC8D0D1D707C254328605F6 6B281BE6EAB21BAF081BBF930C9B31210931928CD21FDAAC5C966CF620B8B4F8 BE8BE4E6C412EC9DBDD9732F6F01E2ABDD96A83B904FCF8E1F9D2A5B1635FC4E D4E53A48C748740DC25BA1353C3DF38740A9EE0D019092459BAC2AAE2179A2DB 89FD84B1086FAD7BB709D81A9B3E7120BE5430A4D084EF45538BF071B9633B17 363D00B41DE6E46B8049F18FBCE8521604F32C7B23826CB7CFAC9634DD00AC9D DCE3489FCB20D5CBB78741A92B6475FD7FCBC73A345A14688B28B03606D0C08F 972D73FBA4E3150CF7685A2B216FEA04F89754C22FAF5BF978D23E08DCD793E2 F041A67142C2B4F33CA76158BB266A247DA3C91DF91F67352D1CC1083AADBD09 723DDBFB32BEB6409C7FECF0CE812B2982F45C 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 43 /plus put dup 49 /one put dup 50 /two put dup 51 /three put readonly def /FontBBox{-20 -250 1193 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: TeX-cmex9 %!PS-AdobeFont-1.0: TeX-cmex9 001.001 % Filtered by type1fix.pl 0.05 %%EndComments 13 dict dup begin /FontInfo 16 dict dup begin /Copyright (see\040copyright\040of\040original\040TeX\040font) def /FamilyName (TeX\040cmex9) def /FullName (TeX\040cmex9\040Regular) def /ItalicAngle 0 def /Notice (converted\040after\040April\0402001) def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Regular) def /isFixedPitch false def /version (001.001) def end readonly def /FontName /TeX-cmex9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /grave put dup 1 /acute put readonly def /FontBBox {-26 -2961 1503 773} readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR9 %!PS-AdobeFont-1.1: CMR9 1.0 %%CreationDate: 1991 Aug 20 16:39:59 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 1 /Delta put dup 6 /Sigma put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 61 /equal put dup 103 /g put dup 108 /l put dup 111 /o put readonly def /FontBBox{-39 -250 1036 750}readonly def currentdict end currentfile eexec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6F9554DC0C28E717D18B21F3614FFA7BA33FE3D484F3F4D45166A362D44414BB 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX9 %!PS-AdobeFont-1.1: CMBX9 1.0 %%CreationDate: 1991 Aug 20 16:36:25 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 78 /N put dup 79 /O put dup 80 /P put readonly def /FontBBox{-58 -250 1195 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5F0364CD5660F74BEE96790DE35AFA90CCF712 B1805DA88AE375A04D99598EADFC625BDC1F9C315B6CF28C9BD427F32C745C99 AEBE70DAAED49EA45AF94F081934AA47894A370D635D93B1823EC35EB8316AA1 86031FCC99F57CB21E8400E54AA474B57112F0D4754A16BEC19117E9D3638986 0777A71B135CC18E20E193AE6C2BCD89F4A27516DBD2BFE69FF9920D547796F9 89E0825B6BD5F492B36AF136EA91B826501ADB1979A4204B2CB5C0517F2B9494 9B2077F316D2B3DA256C99F7549E6BC4B04FE12072B09B4F5D482A126AE351F3 97DB85F3026A793B51E6B28B54661FEB087F011F0BFF67272DD1E8825C180723 22AE77CD6166D2605D0C0F131537417CB60086F08E7197AA916D590944BD801B DEE8F29FFC516E11396CCB8395CFEC9262E22521882DC0316B0A129DBFA5FB57 E656890C2471675E0566FE461028FB05532E274E6DF77E7D320D09B2203BBB5A 8B185B66B2F8A18A49589C4EE27596DD56260D0D759D2A12CEF7FC3010BA1B36 85A2FD45129DC01A0C7570423305C25D957DFF9215102FFF35F428C823D549E5 014E7F99ACA6C10B3C92805376D0F3F280D65852CEA54F5CC9DEF9EC1347824B 0733D3341B34937316E77E952AD9366D3B2ED045165565F07CB636385E5A5911 2620E185B105EF6C93890833054E05B6301137338A3F1D6AB2F80095E57AE60D 6E5EE2764624849978C811EC38E014AE4A5823734C5CEB2BC22DDA46BB408D00 4F25CA8ED287D35E26A4CACA77D2D4B986ED2ADD3BC0C3405741CAD56DE28C7C 68E8944967C022CC55907B3DFACC1EFAFD38D3EDDA1AADB6E2C006ECBEFAC8D7 18ED3C46C331623D8FAACC6CF9292B8F1B407806A0D4808F51A5BC97FA9DA535 34EE80A607148A0173266634BDD8FAF183B7FEC0A37BDF9A1CAC728E4FF7BE0F B2607AE387B4F58951C0AF4A55C849FF82BFBE4BC5AE41AC40CF66BA994792DE 5673B2E76FF9A51F561EF1113E052192C29631BCE71C2ED1724349900B6C1A97 174BAD74FD4A5480318C065AE06FCDB10EC3D2A58193B81AB27E795454A7D4DE 70B494ACC78174A9013483B266FEBDEA441590A82C7541A2D5CB7BE0F58B726F 5ABB612736D69C8BF90B35AAFD6E7BC2D0F313B606D6870EF3B2B0005993D9A2 5500ECA72B5CAD137C07575F6C9F46240337E66CDAF899100923D7B04E9979DE 7D0476C6BCF4C21C1DA433DD78C99BB912EC297B311DA54FEF4D588E8C9EC6C5 F27E275A3CE352452342E7E3E71FDD2F18B08CC7048B63864E9047022B68B2B3 876ED3668CDE7A69E561BD6ECDAE1EE9AECC93310FC617ADAEADFEBF31496028 7138F3886620829B57514621292350C0DAD2914EA60BBFC7222EDA5503BEB82D BE253216434D94C602DA1E05B8B306FDC87D0F661854283AE5A5F85439E34A15 F0346BF93CAD0ADDDA52FFA551D9C25EDD9D2ECB677B69A2C64ADC13D9199360 FCECBE69E2E52BCC5A2C91E82CF8F894076C3C18651FBB51B5150657466178E4 C2F45ECF2719BA45BE3EECB1A7728E44E86EC4821BF12A2F1B541ADE4EFE2E06 3B454F2B810BB1861F733579913A9E303045F0217FAC6ABF59ECF49A77A2FE2B 0D7CDEEBC7122CAE59E80A5BE0AC5364C8DAD013A6C125A8D53F1E175033CD67 3E227BBCE00E9737BCAE03C62872CF88511377D7695F88EB4E8AC3C337C1EC4B 22E6BD76FEDE25D54F8A0FF98354533BE947D15C25A0F43FB5A1B0BA4D384F49 282527E9A45A120C9E1DA59F0A 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.1: CMMI9 1.100 %%CreationDate: 1996 Jul 23 07:53:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 15 /epsilon1 put dup 59 /comma put dup 61 /slash put dup 62 /greater put dup 68 /D put dup 71 /G put dup 79 /O put dup 96 /lscript put dup 107 /k put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put readonly def /FontBBox{-29 -250 1075 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE 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The image is displayed in color on % Postscript viewers or printers that support color, otherwise % it is displayed as grayscale. % /DirectClassPacket { % % Get a DirectClass packet. % % Parameters: % red. % green. % blue. % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /DirectClassImage { % % Display a DirectClass image. % systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { DirectClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayDirectClassPacket } image } ifelse } bind def /GrayDirectClassPacket { % % Get a DirectClass packet; convert to grayscale. % % Parameters: % red % green % blue % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /GrayPseudoClassPacket { % % Get a PseudoClass packet; convert to grayscale. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /PseudoClassPacket { % % Get a PseudoClass packet. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /PseudoClassImage { % % Display a PseudoClass image. % % Parameters: % class: 0-PseudoClass or 1-Grayscale. % currentfile buffer readline pop token pop /class exch def pop class 0 gt { currentfile buffer readline pop token pop /depth exch def pop /grays columns 8 add depth sub depth mul 8 idiv string def columns rows depth [ columns 0 0 rows neg 0 rows ] { currentfile grays readhexstring pop } image } { % % Parameters: % colors: number of colors in the colormap. % colormap: red, green, blue color packets. % currentfile buffer readline pop token pop /colors exch def pop /colors colors 3 mul def /colormap colors string def currentfile colormap readhexstring pop pop systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { PseudoClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayPseudoClassPacket } image } ifelse } ifelse } bind def /DisplayImage { % % Display a DirectClass or PseudoClass image. % % Parameters: % x & y translation. % x & y scale. % label pointsize. % image label. % image columns & rows. % class: 0-DirectClass or 1-PseudoClass. % compression: 0-none or 1-RunlengthEncoded. % hex color packets. % gsave /buffer 512 string def /byte 1 string def /color_packet 3 string def /pixels 768 string def currentfile buffer readline pop token pop /x exch def token pop /y exch def pop x y translate currentfile buffer readline pop token pop /x exch def token pop /y exch def pop currentfile buffer readline pop token pop /pointsize exch def pop /Times-Roman findfont pointsize scalefont setfont x y scale currentfile buffer readline pop token pop /columns exch def token pop /rows exch def pop currentfile buffer readline pop token pop /class exch def pop currentfile buffer readline pop token pop /compression exch def pop class 0 gt { PseudoClassImage } { DirectClassImage } ifelse grestore } bind def %%EndProlog %%Page: 1 1 %%PageBoundingBox: 0 0 171 192 userdict begin DisplayImage 0 0 171 192 12.000000 171 192 0 0 868582A5A4A0C2C1BDD7D6D2DDDCD8E0DFDBE5E4E0E9E8E5EAE8E9EBE9EAECEAEBEDEBEC EDEBECEEECEDEFEDEEF0EEEFF0EEEFF1EFF0F0EEEFF1EFF0F1EFF0F2F0F1F3F1F2F4F2F3 F2F0F1F3F1F2F4F2F3F5F3F4F4F2F3F5F3F4F5F3F4F5F3F4F4F2F3F5F3F4F6F4F5F7F5F6 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0000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000058595A20000000000000F351 % 00010000000116CC58595A200000000000000000000000000000000063757276 % 0000000000000001023300006375727600000000000000010233000063757276 % 00000000000000010233000058595A200000000000009C1800004FA5000004FC % 58595A20000000000000348D0000A02C00000F9558595A200000000000002631 % 0000102F0000BE9C %%EndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:411dfb52-621e-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def 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ndPhotoshop %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:88b4d53e-621c-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 432 def 170.0787 198.0315 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile 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ndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:85da1294-621e-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 436 def 171.6512 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio 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0000012601280003000000010002000002010004000000010000012E02020004 % 000000010000000000000000000000480000000100000048000000013842494D % 03FD0000000000070201000000000000 %EndPhotoshop %%BeginICCProfile: (Photoshop Profile) -1 Hex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ndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:dcc61f7f-621e-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 506 def /cols 436 def 171.6512 199.2098 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def 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ndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:16e13d94-621f-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 433 def 170.4701 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline 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pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:c9eb6b31-621f-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 436 def 171.6512 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont 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7365727665642E0064657363000000000000001141646F626520524742202831 % 3939382900000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000058595A20000000000000F351 % 00010000000116CC58595A200000000000000000000000000000000063757276 % 0000000000000001023300006375727600000000000000010233000063757276 % 00000000000000010233000058595A200000000000009C1800004FA5000004FC % 58595A20000000000000348D0000A02C00000F9558595A200000000000002631 % 0000102F0000BE9C %%EndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:07809f60-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 433 def 170.4701 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} 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000001B400000014626B7074000001C80000001472545243000001DC0000000E % 67545243000001EC0000000E62545243000001FC0000000E7258595A0000020C % 000000146758595A00000220000000146258595A000002340000001474657874 % 00000000436F707972696768742028632920313939392041646F626520537973 % 74656D7320496E636F72706F72617465642E20416C6C20526967687473205265 % 7365727665642E0064657363000000000000001141646F626520524742202831 % 3939382900000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000058595A20000000000000F351 % 00010000000116CC58595A200000000000000000000000000000000063757276 % 0000000000000001023300006375727600000000000000010233000063757276 % 00000000000000010233000058595A200000000000009C1800004FA5000004FC % 58595A20000000000000348D0000A02C00000F9558595A200000000000002631 % 0000102F0000BE9C %%EndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:07809f6a-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def /cols 435 def 171.2575 198.4224 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 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currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:54a32127-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 435 def 171.2575 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 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and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:84cb4978-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 502 def /cols 435 def 171.2575 197.6351 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def currentdict end %%BeginBinary: 66122 beginimage s4IA0!"_al8O`[\!W`9l!([(is6]js6"FnCAH67+!!!!"s4[O,!!33'!WiE)!WiE* !WiE*"9S],!sAc1"9\i1"U5,6"U,&5"pP;;#R:S=#mgqG#mh"K$k*OQ$k*OQ$k*OQ $ipG4!sJf2#mLS?%13CK%1`pY%Ls![$k*OQ$kEjW$k*OQ$kEaT$k*OQ$k*OQ$k*OQ $k*OQ$k*OQ$k*OQ$k30O!"fJ;p&VK%!>,;5&HMtG!WUsU"9:C\_uZS4!!!6)!!`;iWpl`#mqLeKTnnpUpO1O<@AdVj7C4=jRd#+KpALB`RX)CAp/op VRFLqk4U`(=(c`4Q`%=5fB;lf86BPMLmY-NaOo_O.60t&BmGQ'WO^.(l1lei8m5tU 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currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:b97d2b81-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def /cols 435 def 171.2575 198.4224 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 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bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:ea21c228-6220-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 431 def 169.6827 198.0287 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def 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pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:2611260b-6221-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict 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currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:700ac162-6221-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 506 def /cols 432 def 170.0764 199.2098 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 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The image is displayed in color on % Postscript viewers or printers that support color, otherwise % it is displayed as grayscale. % /DirectClassPacket { % % Get a DirectClass packet. % % Parameters: % red. % green. % blue. % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /DirectClassImage { % % Display a DirectClass image. % systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { DirectClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayDirectClassPacket } image } ifelse } bind def /GrayDirectClassPacket { % % Get a DirectClass packet; convert to grayscale. % % Parameters: % red % green % blue % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /GrayPseudoClassPacket { % % Get a PseudoClass packet; convert to grayscale. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /PseudoClassPacket { % % Get a PseudoClass packet. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /PseudoClassImage { % % Display a PseudoClass image. % % Parameters: % class: 0-PseudoClass or 1-Grayscale. % currentfile buffer readline pop token pop /class exch def pop class 0 gt { currentfile buffer readline pop token pop /depth exch def pop /grays columns 8 add depth sub depth mul 8 idiv string def columns rows depth [ columns 0 0 rows neg 0 rows ] { currentfile grays readhexstring pop } image } { % % Parameters: % colors: number of colors in the colormap. % colormap: red, green, blue color packets. % currentfile buffer readline pop token pop /colors exch def pop /colors colors 3 mul def /colormap colors string def currentfile colormap readhexstring pop pop systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { PseudoClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayPseudoClassPacket } image } ifelse } ifelse } bind def /DisplayImage { % % Display a DirectClass or PseudoClass image. % % Parameters: % x & y translation. % x & y scale. % label pointsize. % image label. % image columns & rows. % class: 0-DirectClass or 1-PseudoClass. % compression: 0-none or 1-RunlengthEncoded. % hex color packets. % gsave /buffer 512 string def /byte 1 string def /color_packet 3 string def /pixels 768 string def currentfile buffer readline pop token pop /x exch def token pop /y exch def pop x y translate currentfile buffer readline pop token pop /x exch def token pop /y exch def pop currentfile buffer readline pop token pop /pointsize exch def pop /Times-Roman findfont pointsize scalefont setfont x y scale currentfile buffer readline pop token pop /columns exch def token pop /rows exch def pop currentfile buffer readline pop token pop /class exch def pop currentfile buffer readline pop token pop /compression exch def pop class 0 gt { PseudoClassImage } { DirectClassImage } ifelse grestore } bind def %%EndProlog %%Page: 1 1 %%PageBoundingBox: 0 0 171 198 userdict begin DisplayImage 0 0 170.979 197.975 12.000000 171 198 0 0 D7D9E6D7D9E6DAD7E2D9D6E1D5D6E3D5D8E5D7D9E6D5D7E4D5D6E3D7D8E5D8DAE7D9DAE7 D8D9E6D7D9E6D7D9E6D7D9E6D9DAE7DDDAE6DEDAE6D9D9E6D6D9E6D7D9E6D8DAE7D9DAE7 D8D9E6D7D9E6D7D9E6D7D9E6D7D9E6D7D9E6D7D9E6D7D9E6D8D9E6D9DAE7D9DAE7D9DAE7 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The image is displayed in color on % Postscript viewers or printers that support color, otherwise % it is displayed as grayscale. % /DirectClassPacket { % % Get a DirectClass packet. % % Parameters: % red. % green. % blue. % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /DirectClassImage { % % Display a DirectClass image. % systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { DirectClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayDirectClassPacket } image } ifelse } bind def /GrayDirectClassPacket { % % Get a DirectClass packet; convert to grayscale. % % Parameters: % red % green % blue % length: number of pixels minus one of this color (optional). % currentfile color_packet readhexstring pop pop color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /GrayPseudoClassPacket { % % Get a PseudoClass packet; convert to grayscale. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def color_packet 0 get 0.299 mul color_packet 1 get 0.587 mul add color_packet 2 get 0.114 mul add cvi /gray_packet exch def compression 0 eq { /number_pixels 1 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add def } ifelse 0 1 number_pixels 1 sub { pixels exch gray_packet put } for pixels 0 number_pixels getinterval } bind def /PseudoClassPacket { % % Get a PseudoClass packet. % % Parameters: % index: index into the colormap. % length: number of pixels minus one of this color (optional). % currentfile byte readhexstring pop 0 get /offset exch 3 mul def /color_packet colormap offset 3 getinterval def compression 0 eq { /number_pixels 3 def } { currentfile byte readhexstring pop 0 get /number_pixels exch 1 add 3 mul def } ifelse 0 3 number_pixels 1 sub { pixels exch color_packet putinterval } for pixels 0 number_pixels getinterval } bind def /PseudoClassImage { % % Display a PseudoClass image. % % Parameters: % class: 0-PseudoClass or 1-Grayscale. % currentfile buffer readline pop token pop /class exch def pop class 0 gt { currentfile buffer readline pop token pop /depth exch def pop /grays columns 8 add depth sub depth mul 8 idiv string def columns rows depth [ columns 0 0 rows neg 0 rows ] { currentfile grays readhexstring pop } image } { % % Parameters: % colors: number of colors in the colormap. % colormap: red, green, blue color packets. % currentfile buffer readline pop token pop /colors exch def pop /colors colors 3 mul def /colormap colors string def currentfile colormap readhexstring pop pop systemdict /colorimage known { columns rows 8 [ columns 0 0 rows neg 0 rows ] { PseudoClassPacket } false 3 colorimage } { % % No colorimage operator; convert to grayscale. % columns rows 8 [ columns 0 0 rows neg 0 rows ] { GrayPseudoClassPacket } image } ifelse } ifelse } bind def /DisplayImage { % % Display a DirectClass or PseudoClass image. % % Parameters: % x & y translation. % x & y scale. % label pointsize. % image label. % image columns & rows. % class: 0-DirectClass or 1-PseudoClass. % compression: 0-none or 1-RunlengthEncoded. % hex color packets. % gsave /buffer 512 string def /byte 1 string def /color_packet 3 string def /pixels 768 string def currentfile buffer readline pop token pop /x exch def token pop /y exch def pop x y translate currentfile buffer readline pop token pop /x exch def token pop /y exch def pop currentfile buffer readline pop token pop /pointsize exch def pop /Times-Roman findfont pointsize scalefont setfont x y scale currentfile buffer readline pop token pop /columns exch def token pop /rows exch def pop currentfile buffer readline pop token pop /class exch def pop currentfile buffer readline pop token pop /compression exch def pop class 0 gt { PseudoClassImage } { DirectClassImage } ifelse grestore } bind def %%EndProlog %%Page: 1 1 %%PageBoundingBox: 0 0 171 198 userdict begin DisplayImage 0 0 170.979 197.975 12.000000 171 198 0 0 F0F0F2E3E2E7DDDCE1E0E0E4DADDE1DBDFE2DCE0E3DADEE1DDE1E4D7DBDEDDE1E4D8DCDF DADEE1D8DCDFDBDCE0DBDADFDBDADFDCDBE0D9DCE0DADEE1D7DBDED7DBDED7DBDED6DADD D9DDE0DAD9DEDEDDE2D9D8DDDCDBE0DBDADFDCDBE0DADADFD9DCDFD9DDE0D7DBDEDADEE1 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and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:9d1b4fd6-6222-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 502 def /cols 432 def 170.0764 197.6351 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio 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pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:1dd0a302-6224-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def 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00010000000116CC58595A200000000000000000000000000000000063757276 % 0000000000000001023300006375727600000000000000010233000063757276 % 00000000000000010233000058595A200000000000009C1800004FA5000004FC % 58595A20000000000000348D0000A02C00000F9558595A200000000000002631 % 0000102F0000BE9C %%EndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:efabe464-6224-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def /cols 436 def 171.6512 198.4224 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def 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end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 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readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:3463c55f-6222-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 506 def /cols 434 def 170.8638 199.2098 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def currentdict end %%BeginBinary: 53828 beginimage s4IA0!"_al8O`[\!W`9l!([(is6]js6"FnCAH67+!!!!"s4[O,!!33'!WiE)!WiE* !WiE*"9S],!sAc1"9\i1"U5,6"U,&5"pP;;#R:S=#mgqG#mh"K$k*OQ$k*OQ$k*OQ $ipG4!sJf2#mLS?%13CK%1`pY%Ls![$k*OQ$kEjW$k*OQ$kEaT$k*OQ$k*OQ$k*OQ $k*OQ$k*OQ$k*OQ$k30O!"fJ;q>ml(!>,;5&HMtG!WUsU"9:C\_uZS4!!!6)!!`;iWpl`#mqLeKTnnpUpO1O<@AdVj7C4=jRd#+KpALB`RX)CAp/op VRFLqk4U`(=(c`4Q`%=5fB;lf86BPMLmY-NaOo_O.60t&BmGQ'WO^.(l1lei8m5tU MOLQVb1c.W&HDk6!&&A@R]O?&H4d@]O3J!eMj?Ti[KbsO91fLg5K%+ ^gaJ/\>s%h`EU;_EB(#/S5n?>.deZ!G8#kGM8`c=iiRc*aX0G`8Y/O\(]+oK= lrD]=YubD;`EeA5'm;(nZJEDeSqQrCOVYOX%g5]=*"#R=sq$6[A;QS.\b@/G/[F/F8VdJDq2#O@]KpU&$q/' >S6iX'h0_(6W:C4m>ANB[OU]OfW2Q0@]nh[MQR1! 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/TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:dd3eaa35-6222-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def /cols 433 def 170.4701 198.4224 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline 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ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 432 def 170.0787 198.0315 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 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currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 432 def 170.0787 198.0315 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def currentdict end %%BeginBinary: 18692 beginimage 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currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 503 def /cols 432 def 170.0787 198.0315 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def currentdict end %%BeginBinary: 18692 beginimage 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(complexit\351)e(des)h(it\351rations)i(dans)e(la)437 1847 y(phase)j(de)f(con)n(v)n(ergence)h(\(une)f(th\350se)g(en)h (cours\).)p 0 TeXcolorgray 357 1938 a(\025)p 0 TeXcolorgray 63 w FB(l'appr)l(oximation)p FI(,)c(qui)f(o\033re)h(une)e (justi\034cation)j(th\351orique)d(du)h(comp)r(ortemen)n(t)f(des)h (heuristiques)437 2029 y(\(une)k(th\350se)g(en)h(cours\),)p 0 TeXcolorgray 400 2172 a(\(a\))p 0 TeXcolorgray 42 w(L'ob)t(jectif)e (actuel)f(est)f(la)h(transp)r(osition)g(de)f(tec)n(hniques)g(de)g (r\351optimisation)h(\(initi\351es)g(par)f(les)540 2263 y(tra)n(v)l(aux)f(sur)h(les)h(probl\350mes)f(de)g(sac-\340-dos)h(en)f (v)l(ariables)h(0-1\))f(\340)h(un)e(sc)n(h\351ma)h(de)g(t)n(yp)r(e)f (g\351n\351ra-)540 2354 y(tion)27 b(de)g(colonnes)i(p)r(our)e(la)h (r\351solution)h(des)e(probl\350mes)g(de)g(tr\350s)h(grande)g(taille,)h (notammen)n(t)540 2446 y(dans)23 b(le)h(cadre)f(de)g(la)h(gestion)g(en) g(temps)e(r\351el)i(des)f(\035ux)f(dans)h(des)h(r\351seaux)f(de)g (transp)r(ort.)h(Ces)540 2537 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w(l'h)n(ybridation) 26 b(de)f(m\351taheuristiques)g(et)h(d'heuristiques)f(duales,)p 0 TeXcolorgray 540 3268 a(\025)p 0 TeXcolorgray 67 w(l'incr\351men)n (talit\351,)h(c'est-\340-dire)f(la)h(prise)g(en)f(compte)f(de)h (l'\351v)n(olution)h(du)e(nom)n(bre)g(de)h(con-)620 3359 y(train)n(tes)h(et/ou)g(de)f(v)l(ariables.)p 0 TeXcolorgray 396 3476 a(\(b\))p 0 TeXcolorgray 41 w(En)h(appro)n(ximation,)h(une)f (p)r(ersp)r(ectiv)n(e)h(est)h(d'\351tudier)e(l'h)n(ybridation)h(de)g (m\351ta-heuristiques)540 3567 y(et)d(d'heuristiques)g(\340)h(garan)n (tie)h(de)e(p)r(erformance)h(\340)f(la)h(mise)g(en)f(\367uvre)f(de)i (sc)n(h\351mas)f(it\351ratifs.)540 3659 y(Plus)29 b(pr\351cis\351men)n (t,)g(il)h(s'agirait)h(de)e(construire)h(des)f(p)r(opulations)h(de)f (solutions)h(div)n(ersi\034\351es)540 3750 y(et)25 b(de)h(qualit\351)f (con)n(tr\364l\351e,)i(de)f(sorte)g(\340)g(mieux)e(piloter)j(le)f(sc)n (h\351ma)f(it\351ratif)i(de)e(r\351solution.)p 0 TeXcolorgray 404 3867 a(\(c\))p 0 TeXcolorgray 42 w(Il)19 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currentpoint grestore moveto 3033 955 a 2848 955 a gsave currentpoint currentpoint translate 40 neg rotate neg exch neg exch translate 2848 955 a FH(Budget)g(global)e(\(k)n (euros\))3553 955 y currentpoint grestore moveto 3553 955 a 3065 955 a gsave currentpoint currentpoint translate 40 neg rotate neg exch neg exch translate 3065 955 a FH(P)n(art)i(LIPN)f(\(k)n(euros\))3670 955 y currentpoint grestore moveto 3670 955 a 415 1034 a FE(A)n(CI)223 b(LIPN)59 b FH(A.)23 b(Nagih)242 b(COGiTO)99 b FE(MENESR)f FH(09/2004-)2262 1113 y(08/2007)2598 1034 y(36)148 b(66)f(66)415 1192 y FE(CIFRE)134 b(SNCF)42 b FH(G.)23 b(Plateau)573 b FE(SNCF)206 b FH(10/2002-)2262 1271 y(09/2005)2598 1192 y(36)148 b(22,5)92 b(22,5)415 1350 y(Con)n(trat)102 b FE(EDF)80 b FH(H.)23 b(Bennaceur)488 b FE(EDF)244 b FH(05/2003-)2262 1428 y(04/2006)2598 1350 y(36)148 b(75)415 1507 y(Con)n(trat)102 b FE(EDF)80 b FH(H.)23 b(Bennaceur)488 b FE(EDF)244 b FH(08/2006-)2262 1586 y(01/2008)2598 1507 y(18)148 b(83)f(10)415 1665 y(V)-6 b(eille)172 b FE(SNCF)42 b FH(A.)23 b(Nagih)628 b FE(SNCF)206 b FH(02/2005-)2262 1744 y(11/2007)2598 1665 y(34)148 b(22,5)92 b(22,5)365 1985 y FG(A)n(CI)40 b FC(COGiTO)76 b FI(Le)32 b(pro)t(jet)h(de)f(rec)n(herc)n(he)g(d'OC)g (b)r(\351n\351\034cie)g(\(depuis)f(septem)n(bre)g(2004\))i(du)e (soutien)365 2076 y(d'une)c FH(A)n(CI)g FI(Jeunes)g(Cherc)n(heuses)h (et)f(Jeunes)g(Cherc)n(heurs,)h(comp)r(os\351e)f(d'Anass)g(Nagih,)h (Lauren)n(t)f(Alfan-)365 2167 y(dari,)h(Lucas)f(L\351to)r(cart,)h (Agn\350s)f(Plateau)h(\()p FH(CNAM)p FI(\))e(et)h(Sophie)g(T)-6 b(oulouse,)28 b(sur)f(le)g(th\350me)f FB(Plani\034c)l(ation)j(et)365 2259 y(gestion)f(optimis\351)l(e)f(des)g(r)l(essour)l(c)l(es)i(en)e(tr) l(ansp)l(ort)i(:)d(r)l(\351)l(optimisation)i(et)f(hybridation)g(de)g (la)f(g\351n\351r)l(ation)i(de)365 2350 y(c)l(olonnes)23 b(et)f(des)g(m\351taheuristiques)27 b FI(\(2004-2007\).)22 b(Ce)e(pro)t(jet,)g(qui)e(v)l(a)h(de)f(la)i(mo)r(d\351lisation)g(\340)f (la)h(r\351alisation)365 2441 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y(de)j(nouv)n(elles)g(mo)r(d\351lisations)g(du)f(probl\350me)g (utilisan)n(t)h(l'asp)r(ect)h(m)n(ulti\035ot)d(de)i(cette)f (application)i([CO-12)q(].)365 3475 y FC(Con)m(trats)38 b FG(EDF)77 b FI(L'\351tude)30 b(du)f FB(pr)l(obl\350me)j(de)g(plac)l (ement)g(des)h(arr)l(\352ts)g(des)f(r)l(\351)l(acteurs)i(nucl\351)l (air)l(es)j FI(a)30 b(\351t\351)365 3567 y(d\351v)n(elopp)r(\351e)e (dans)f(le)h(cadre)g(de)f(la)h(th\350se)g(d'Idir)f(Khemmoudj.)f(Il)h (s'agit)i(d'un)e(probl\350me)g(d'ordonnance-)365 3658 y(men)n(t)35 b(coupl\351)h(\340)h(un)f(probl\350me)f(de)h (plani\034cation)h(de)f(la)h(pro)r(duction)f(\(con)n(trat)g FH(EDF)p FI(-)p FH(LIPN)p FI(\).)g(Dans)g(un)365 3749 y(premier)21 b(temps,)h(la)g(con)n(tribution)g(de)f(la)i(programmation) e(logique)i(par)f(con)n(train)n(tes)g(\340)g(la)h(r\351solution)g(de)e (ce)365 3841 y(probl\350me)h(a)g(\351t\351)g(\351v)l(alu\351e.)h(Un)e (syst\350me)g(com)n(binan)n(t)g(la)i(programmation)e(par)i(con)n(train) n(tes)f(et)g(la)h(rec)n(herc)n(he)365 3932 y(lo)r(cale)28 b(p)r(our)d(construire)h(des)g(plans)g(d'arr\352ts)g(a)n(v)n(ec)g(un)f (meilleur)g(pro\034t)g(a)h(ensuite)g(\351t\351)g(d\351v)n(elopp)r (\351.)365 4175 y FC(V)-8 b(eille)31 b FG(SNCF)78 b FI(Le)26 b(con)n(trat)h(d'\351tude)f(et)g(de)g(v)n(eille)h(sur)g(les)g(appro)r (c)n(hes)g(de)f(mo)r(d\351lisation)h(et)f(tec)n(hniques)365 4266 y(de)32 b(r\351solution)h(exploitables)f(p)r(our)g(optimiser)g(la) g(plani\034cation)h(de)e(ressources)i(de)f(pro)r(duction)g(mobiles)365 4357 y(en)n(tre)i(la)h FH(SNCF)p FI(-DI&R)d(et)i(les)h(mem)n(bres)d(de) i(l')p FH(A)n(CI)h FI(Jeunes)g(Cherc)n(heurs)f(vise)g(\340)h(recenser)f (les)h(formali-)365 4449 y(sations)h(existan)n(tes)e(\(et)g(r\351cen)n (tes\))h(qui)e(son)n(t)h(en)n(visageables)i(p)r(our)e(les)h (probl\350mes)f(de)g(plani\034cation)h(de)365 4540 y(ressources)i (mobiles)f(dans)f(le)h(domaine)f(des)h(transp)r(orts,)g(ainsi)g(que)f (la)h(complexit\351)f(de)g(ces)h(mo)r(d\351lisa-)365 4631 y(tions.)e(Un)f(panorama)g(comparatif)g(des)h(appro)r(c)n(hes)f (de)g(r\351solution)h(existan)n(tes)g(\(et)f(r\351cen)n(tes\))g(p)r (our)g(ces)365 4723 y(mo)r(d\350les)e(\(appro)r(c)n(hes)g(standards)h (ou)f(d\351di\351es,)g(optimales)h(vs)e(appro)r(c)n(h\351es\))i(est)f (dress\351.)h(En\034n,)e(les)i(p)r(er-)365 4814 y(formances)e(n)n (um\351riques)d(de)h(certaines)i(appro)r(c)n(hes)f(son)n(t)g(\351v)l (alu\351es,)h(\340)f(partir)g(notammen)n(t)d(de)j(probl\350mes)365 4905 y(concrets)e(fournis)f(par)g(la)g FH(SNCF)p FI(-DI&R.)365 5157 y @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 2.27626 2.56064 2.27626 0 CLW mul sub 0 360 arc closepath gsave 0.19 0.11 0.81 0.02 setcmykcolor fill grestore end @endspecial 77 w FC(Diss\351mination) 490 5313 y FI(L'ann\351e)31 b(2005)i(a)e(\351t\351)g(l'o)r(ccasion)j (de)d(r\351diger)g(trois)h(c)n(hapitres)g(sur)f(les)g(probl\350mes)g (de)g(sac-\340-dos,)h(de)365 5405 y(transp)r(ort)c(a\351rien)g(et)g(du) f(v)n(o)n(y)n(ageur)g(de)h(commerce,)f(dans)g(un)g(ouvrage)h (consacr\351)h(\340)f(l'optimisation)h(com-)365 5496 y(binatoire)e([CL-2,)f(CL-4)q(,)g(CL-3].)p 0 TeXcolorgray 1908 5745 a FD(14)p 0 TeXcolorgray eop end %%Page: 15 15 TeXDict begin 15 14 bop 0 TeXcolorgray 3534 510 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 28.4526 28.4526 28.4526 0 CLW mul sub 0 360 arc closepath gsave 0.19 0.11 0.81 0.02 setcmykcolor fill grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 0. true 28.4526 0.0 113.81042 56.90521 0 Frame gsave 0.19 0.11 0.81 0.02 setcmykcolor fill grestore end @endspecial 3534 510 a tx@Dict begin { 46.9468 28.4526 } PutCoor PutBegin end 3534 510 a 3239 531 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 71.13188 2 div 5.95055 0.95055 add 2 div 2 copy 0.95055 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 360 arc closepath end @endspecial 3543 539 a FC(OCAD)3534 510 y tx@Dict begin PutEnd end 3534 510 a 0 TeXcolorgray 2070 70 a FD(1.3)27 b FC(Optimisation)i(Com)m(binatoire) p 0 TeXcolorgray 149 390 a(In)m(vitations,)j(tutoriels)p 0 TeXcolorgray 274 482 a FI(\025)p 0 TeXcolorgray 42 w(Anass)21 b(Nagih)g(:)g(Conf\351rencier-in)n(vit\351)g(par)g(la)g (Direction)g(de)g(la)g(Strat\351gie)g(de)g(la)g(SNCF,)g(la)g(Direction) 354 573 y(des)26 b(Op)r(\351rations)h(et)e(la)i(Direction)g(de)e (l'Inno)n(v)l(ation)h(et)g(de)g(la)h(Rec)n(herc)n(he)e(dans)h(le)g (cadre)h(du)e(pro)t(jet)354 664 y(\020Mieux)18 b(concev)n(oir)h(p)r (our)f(mieux)e(pro)r(duire\021)j(;)g(titre)f(\020Plani\034cation)h(des) g(ressources)g(h)n(umaines\021,)e(si\350ge)354 756 y(de)25 b(la)i FH(SNCF)e FI(P)n(aris)i(\(17)f(juin)g(2003\).)p 0 TeXcolorgray 274 847 a(\025)p 0 TeXcolorgray 42 w(G\351rard)k (Plateau)h(:)f(T)-6 b(utoriel)31 b(p)r(our)f(les)h(Journ\351es)f(F)-6 b(ranciliennes)31 b(de)f(Rec)n(herc)n(he)f(Op)r(\351rationnelle)13 b(;)354 938 y(titre)26 b(\020Sur)e(le)i(sac)h(\340)f(dos)g(en)f(v)l (ariables)h(0-1\021,)g(P)n(aris)h(\(13)f(jan)n(vier)g(2006\).)149 1135 y FC(A)m(ctions)32 b(de)g(vulgarisation)f(de)h(la)f(rec)m(herc)m (he)p 0 TeXcolorgray 274 1227 a FI(\025)p 0 TeXcolorgray 42 w(Lucas)37 b(L\351to)r(cart)g(:)g(Pr\351sen)n(tation)g(d'une)f (d\351monstration)g("Courses)i(et)e(jeux)g(de)g(fourmis")h(\340)g(la) 354 1318 y(manifestation)26 b FB(Savante)j(Banlieue)p FI(,)d(Villetaneuse,)h(13-14)g(o)r(ctobre)f(2005.)149 1523 y @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 2.27626 2.56064 2.27626 0 CLW mul sub 0 360 arc closepath gsave 0.19 0.11 0.81 0.02 setcmykcolor fill grestore end @endspecial 77 w FC(Collab)s(orations) 149 1663 y(Collab)s(orations)31 b(univ)m(ersitaires)p 0 TeXcolorgray 256 1781 a FI(1.)p 0 TeXcolorgray 42 w(Les)d(collab)r (orations)h(d'Anass)f(Nagih)f(a)n(v)n(ec)g(F)-6 b(ran\347ois)28 b(Soumis)f(et)g(Y)-6 b(assir)28 b(Miladi)g(\(\351cole)g(P)n(olytec)n (h-)357 1872 y(nique)d(de)g(Mon)n(tr\351al)i(et)f Fv(gerad)p FI(\))g(s'articulen)n(t)g(principalemen)n(t)f(autour)h(de)f(:)p 0 TeXcolorgray 357 1964 a(\025)p 0 TeXcolorgray 42 w(la)h(construction) g(de)g(rotations)g(d'\351quipages)g(en)g(plani\034cation)g(op)r (\351rationnelle)14 b(;)p 0 TeXcolorgray 357 2055 a(\025)p 0 TeXcolorgray 42 w(les)26 b(heuristiques)g(lagrangiennes)h(p)r(our)f (le)g(probl\350me)f(de)g(plus)g(court)h(c)n(hemin)e(con)n(train)n(t)13 b(;)p 0 TeXcolorgray 357 2146 a(\025)p 0 TeXcolorgray 42 w(la)41 b(r\351duction)f(de)g(l'espace)i(des)e(\351tats)h(dans)f(un) g(algorithme)h(de)f(t)n(yp)r(e)f(programmation)h(dy-)437 2238 y(namique.)p 0 TeXcolorgray 256 2355 a(2.)p 0 TeXcolorgray 42 w(Une)29 b(collab)r(oration)j(en)n(tre)d(les)i(mem)n(bres)c(de)j(l') p FH(A)n(CI)g 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setcmykcolor fill grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 0. true 28.4526 0.0 113.81042 56.90521 0 Frame gsave 0.19 0.11 0.81 0.02 setcmykcolor fill grestore end @endspecial 3534 510 a tx@Dict begin { 46.9468 28.4526 } PutCoor PutBegin end 3534 510 a 3239 531 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 71.13188 2 div 5.95055 0.95055 add 2 div 2 copy 0.95055 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 360 arc closepath end @endspecial 3543 539 a FC(OCAD)3534 510 y tx@Dict begin PutEnd end 3534 510 a 0 TeXcolorgray 2143 70 a FD(1.4)27 b FC(Algorithmique)i(Distribu\351e)p 0 TeXcolorgray 149 390 a FI(r\351sultats)35 b(concernan)n(t)e(les)h (tailles)h(des)f(comp)r(osan)n(tes)g(g\351an)n(tes)g(duran)n(t)e(ce)i (ph\351nom\350ne,)e(conn)n(u)h(sous)h(le)149 482 y(nom)25 b(de)g FB(Double-Jump)32 b 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CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /ALength x2 x1 sub y2 y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos ALength gt { exit } if x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave 2.0 SLW 0 setgray 0 setlinecap stroke grestore end @endspecial 0 TeXcolorgray 0 TeXcolorgray 274 3404 a FI(Le)26 b FH(LIPN)g FI(a)g(souten)n(u)f(ou)g(organis\351)j(les)e(conf\351rences)h(et)e (manifestations)i(suiv)l(an)n(tes)e(:)p 0 TeXcolorgray 274 3495 a(\025)p 0 TeXcolorgray 42 w FB(Implicit)30 b(Computational)j(Complexity)f(and)h(L)l(o)l(gic)p FI(,)e(septem)n(bre) e(2004,)j(univ)n(ersit\351)e(P)n(aris)i(13)f(\()p FH(A)n(CI)354 3587 y Fv(geocal)p FI(\),)25 b(30)i(participan)n(ts,)f(don)n(t)f(8)h (\351trangers.)p 0 TeXcolorgray 274 3678 a(\025)p 0 TeXcolorgray 42 w FB(W)-6 b(orkshop)35 b(on)f(Implicit)e(Computational)j(Complexity) p FI(,)e(13-17/2/2006,)j(\()p Fv(geocal)p FI(,)d FB(Ge)l(ometry)i(of) 354 3769 y(Computation)p FI(,)27 b(2006\),)g(Marseille.)i(20)d(exp)r (os\351s)g(et)g(50)g(participan)n(ts)g(\(de)f(7)h(pa)n(ys\).)p 0 TeXcolorgray 274 3861 a(\025)p 0 TeXcolorgray 42 w FB(2es)h(Journ\351)l(es)h(th\351matiques)f("Appr)l(entissage)i(A)n (rti\034ciel)d(&)g(F)-6 b(ouil)t(le)25 b(de)i(Donn\351)l(es")p FI(,)f(27-28/4/2006,)354 3952 y Fd(http://www-)t(lipn.univ-)t(pa)n (ris13.fr/A3/AAFD06/)p 0 TeXcolorgray 274 4043 a FI(\025)p 0 TeXcolorgray 42 w FB(Journ\351)l(es)j(ALEA)p FI(,)d(2005,)i(\(CIRM,)e FH(SMF)p FI(-)p FH(CNRS)p FI(,)f(Lumin)n(y\))p 0 TeXcolorgray 274 4134 a(\025)p 0 TeXcolorgray 42 w FB(Mar)l(ches)37 b(al\351)l(atoir)l(es)g(discr)l(\350tes)h(:)d(th\351)l(orie)i(et)f (applic)l(ations)h(en)f(c)l(ombinatoir)l(e,)g(biolo)l(gie)g(algorith-) 354 4226 y(mique,)19 b(informatique)h(th\351)l(orique,)h(pr)l(ob)l (abilit\351s,)f(physique)h(statistique)k FI(\(DR)-9 b(W-2003\),)18 b(Institut)e(Henri)354 4317 y(P)n(oincar\351,)27 b(2003)p 0 TeXcolorgray 1692 5745 a FD(43)p 0 TeXcolorgray eop end %%Page: 44 44 TeXDict begin 44 43 bop 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray eop end %%Page: 45 45 TeXDict begin 45 44 bop 0 TeXcolorgray -601 6416 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 583.28123 422.5234 408.29704 0 CLW mul sub 0 360 arc closepath gsave 0.18 0.58 0 0 setcmykcolor fill grestore gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end @endspecial -601 6416 a tx@Dict begin { 312.98018 422.5234 } PutCoor PutBegin end -601 6416 a -1546 6434 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 227.62204 2 div 24.40643 19.90643 add 2 div 2 copy 19.90643 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 360 arc closepath end @endspecial -416 6351 a FL(P)-5 b(artie)62 b(I)5 b(I)g(I)-826 6600 y FK(Publications)-601 6416 y tx@Dict begin PutEnd end -601 6416 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 312.98018 422.5234 137.99597 0 CLW mul sub 0 360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 2.0 SLW 0 setgray /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def [ 433.90433 308.71243 433.90433 536.33438 /Lineto /lineto load def false NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5 1 gt { /Alpha y2 y1 sub x2 x1 sub Atan def /ArrowPos 0. def /ALength x2 x1 sub y2 y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos ALength gt { exit } if x1 Alpha cos ArrowPos mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat } ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse CP 4 2 roll ArrowB L pop pop } if gsave 2.0 SLW 0 setgray 0 setlinecap stroke grestore end @endspecial 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray eop end %%Page: 46 46 TeXDict begin 46 45 bop 0 TeXcolorgray -482 -1852 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 56.90521 28.4526 28.4526 0 CLW mul sub 0 360 arc closepath gsave 0.01 0.2 0.94 0 setcmykcolor fill grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 0. true -28.4526 0.0 56.90521 56.90521 0 Frame gsave 0.01 0.2 0.94 0 setcmykcolor fill grestore end @endspecial -482 -1852 a tx@Dict begin { 39.83365 28.4526 } PutCoor PutBegin end -482 -1852 a -777 -1831 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 71.13188 2 div 17.95055 12.95055 add 2 div 2 copy 12.95055 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 360 arc closepath end @endspecial -92 x FC(Organisation)-777 -1823 y(de)-777 -1724 y(conf\351rences)-482 -1852 y tx@Dict begin PutEnd end -482 -1852 a 0 TeXcolorgray 0 TeXcolorgray 490 390 a FI(Les)26 b(r\351f\351rences) h(comp)r(ortan)n(t)e(\023)g(*)h(\024)f(son)n(t)h(accept\351es)g(et)g (\340)g(para\356tre.)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 1908 5745 a FD(46)p 0 TeXcolorgray eop end %%Page: 47 47 TeXDict begin 47 46 bop 0 TeXcolorgray 3534 -1852 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 28.4526 28.4526 28.4526 0 CLW mul sub 0 360 arc closepath gsave 0.01 0.2 0.94 0 setcmykcolor fill grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 0. true 28.4526 0.0 113.81042 56.90521 0 Frame gsave 0.01 0.2 0.94 0 setcmykcolor fill grestore end @endspecial 3534 -1852 a tx@Dict begin { 46.9468 28.4526 } PutCoor PutBegin end 3534 -1852 a 3239 -1831 a @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.8 SLW 0 setgray 71.13188 2 div 17.95055 12.95055 add 2 div 2 copy 12.95055 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 360 arc closepath end @endspecial 3296 -1923 a FC(Organisation)3732 -1823 y(de)3353 -1724 y(conf\351rences)3534 -1852 y tx@Dict begin PutEnd end 3534 -1852 a 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 536 390 a Fc(Articles)45 b(dans)f(des)f(revues)h(a)l(v)l (ec)h(comit\351)f(de)g(lecture)1710 482 y(\(A)l(CL\))533 673 y Fy(Articles)31 b(dans)e(des)g(revues)g(in)n(ternationales)i(a)n (v)n(ec)d(comit\351)i(de)g(lecture)g(s\351lectif)p 0 TeXcolorgray 149 829 a FI([RI-35])p 0 TeXcolorgray -580 w Fy(2008)473 b FI(Christian)23 b(La)n(v)l(ault)e(et)h(Mario)h(V)-6 b(alencia-P)n(ab)r(on.)28 b(A)22 b(distributed)f(appro)n(ximation)g (algorithm)h(for)447 920 y(the)c(minim)n(um)d(degree)k(minim)n(um)c(w)n (eigh)n(t)k(spanning)f(tree.)k 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/setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 505 def /cols 433 def 170.4701 198.8161 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont 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[{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def /cols 434 def 170.8638 198.4224 scale level2 { /DeviceRGB setcolorspace currentdict /PhotoshopDuotoneColorSpace undef currentdict /PhotoshopDuotoneAltColorSpace undef } if /beginimage level2 {/image load def} {{pop .9 setgray 0 0 moveto 0 1 lineto 1 1 lineto 1 0 lineto fill 0 setgray 0 1 translate 1 cols div 1 rows div scale /ratio {cols 400 div mul} def /Helvetica findfont 15 ratio scalefont setfont 5 ratio -20 ratio moveto (Une image cod\216e en JPEG requiert PostScript Niveau 2) show /x 128 string def {currentfile x readline {} {pop exit} ifelse (~>) search {pop pop pop exit} {pop} ifelse } loop } def} ifelse 12 dict begin /ImageType 1 def /Width cols def /Height rows def /ImageMatrix [cols 0 0 rows neg 0 rows] def /BitsPerComponent 8 def /Decode [0 1 0 1 0 1] def /DataSource currentfile /ASCII85Decode filter /DCTDecode filter def 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00000000000000010233000058595A200000000000009C1800004FA5000004FC % 58595A20000000000000348D0000A02C00000F9558595A200000000000002631 % 0000102F0000BE9C %%EndICCProfile %begin_xml_code /pdfmark where {pop true} {false} ifelse /currentdistillerparams where {pop currentdistillerparams /CoreDistVersion get 5000 ge } {false} ifelse and not {userdict /pdfmark /cleartomark load put} if [/NamespacePush pdfmark [/_objdef {photoshop_metadata_stream} /type /stream /OBJ pdfmark /MetadataString 5038 string def % exact length of metadata /TempString 100 string def /ConsumeMetadata { currentfile TempString readline pop pop currentfile MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 Adobe Photoshop Elements for Macintosh, version 2.0 adobe:docid:photoshop:e51b18bd-6223-11db-a7f8-e551617d8d30 %end_xml_packet [{photoshop_metadata_stream} 2 dict begin /Type /Metadata def /Subtype /XML def currentdict end /PUT pdfmark [{photoshop_metadata_stream} MetadataString /PUT pdfmark [/_objdef {nextImage} /NI pdfmark %end_xml_code gsave % EPS gsave /hascolor /deviceinfo where {pop deviceinfo /Colors known {deviceinfo /Colors get exec 1 gt} {false} ifelse} {/statusdict where {pop statusdict /processcolors known {statusdict /processcolors get exec 1 gt} {false} ifelse} {false} ifelse} ifelse def 40 dict begin /_image systemdict /image get def /_setgray systemdict /setgray get def /_currentgray systemdict /currentgray get def /_settransfer systemdict /settransfer get def /_currenttransfer systemdict /currenttransfer get def /blank 0 _currenttransfer exec 1 _currenttransfer exec eq def /negative blank {0 _currenttransfer exec 0.5 lt} {0 _currenttransfer exec 1 _currenttransfer exec gt} ifelse def /inverted? negative def /level2 systemdict /languagelevel known {languagelevel 2 ge} {false} ifelse def /level3 systemdict /languagelevel known {languagelevel 3 ge} {false} ifelse def level2 {/band 0 def} {/band 5 def} ifelse gsave % Image Header gsave /rows 504 def 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