%!PS-Adobe-2.0 EPSF-2.0 %%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software %%Title: CompileEps.dvi %%CreationDate: Sat Sep 19 15:47:10 2009 %%BoundingBox: 71 701 90 721 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -E -o %+ C:\Users\Alain_2\Documents\LaTeX\Logos\bcrosevents.eps CompileEps.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2009.09.19:1547 %%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 round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse 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 % $Id: pstricks.pro 34 2008-06-25 17:20:01Z herbert $ % %% PostScript prologue for pstricks.tex. %% Version 1.05, 2008/06/25 %% %% This program can be redistributed and/or modified under the terms %% of the LaTeX Project Public License Distributed from CTAN archives %% in directory macros/latex/base/lppl.txt. % % % Define the follwing gs-functions if not known, eg when using distiller % systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if systemdict /.setblendmode known not {/.setblendmode { pop } def } if systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if % /tx@Dict 200 dict def % the main PSTricks dictionary tx@Dict begin /ADict 25 dict def % The arrow dictionaray /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 /tan { 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 /Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees /Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root pop pop 0 }{ sqrt exch atan} ifelse } def /NET { neg exch neg exch T } def % change coordinate system to the negative one /Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter /Pyth2 { % Pythagoras, xA yA xB yB 3 -1 roll % xA xB yB yA sub % xA xB yB-yA 3 1 roll % yB-yA xA xB sub % yB-yA xA-xB Pyth } def /PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian /Rand { rand 4294967295 div } def % a real random number %----------------- hv added 20050516 --------------- /PiDiv2 1.57079632680 def /Pi 3.14159265359 def /TwoPi 6.28318530718 def /Euler 2.71828182846 def %/e Euler bind 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 % BP/PT scaling /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 % /PenroseFill {% on stack: scaling factor dup dup scale 1 exch div round /penroseFactor 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 systemdict /setstrokeadjust known { true setstrokeadjust } if /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 mul j l + S rmoveto}F i L j L stroke }F}F}F}F 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 % hold it local, for end see EndArrow /@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 % end the ADict % /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 % /ArrowD { % the sides are drawn as curves (hv 20071211) CLW mul add dup 2 div /w ED mul dup /h ED mul /Inset ED { 0 h T 1 -1 scale } if % changes the direction % we use y=w/h^2 * x^2 as equation for the control points % for the coordinates the arrow is seen from top to bottom % the bottom (tip) is (0;0) w neg h moveto % lower left of > w 9 div 4 mul neg h 3 div 2 mul w 9 div neg h 3 div 0 0 curveto % tip of > w 9 div h 3 div w 9 div 4 mul h 3 div 2 mul w h curveto % upper left of > w neg Inset neg rlineto % move to x=0 and inset 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 /showpoints ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if showpoints { ] 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 % /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 ED /x0 ED /y1 ED /x1 ED /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 % is add or 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 xOrig add % hv 2007-08-29 x->xOrig a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig a1 cos rx mul xOrig add % a1 sin ry mul yOrig 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-algparser.pro 0 0 % $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $ %% %% PostScript prologue for PSTricks algorithm parser %% Version 0.01, 2008/01/01 %% %% This program can be redistributed and/or modified under the terms %% of the LaTeX Project Public License Distributed from CTAN archives %% in directory macros/latex/base/lppl.txt. %% %%-----------------------------------------------------------------------------% % /AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez % /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 Pi /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 Pi /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 DegtoRad } 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 DegtoRad } def %% function arctangent in radians %% x -> theta /atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } 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 { Euler exch exp } bind def %% %% factorial function %% n -> n! /Fact { 1 exch 2 exch 1 exch { mul } for } bind def /fact { Fact } bind def end % END pstricks.pro %%EndProcSet %%BeginProcSet: pst-dots.pro 0 0 % $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $ % %% PostScript prologue for pstricks.tex. %% Version 2.02, 2008/04/18 %% %% For distribution, see pstricks.tex. %% %% Timothy Van Zandt %% %% This program can be redistributed and/or modified under the terms %% of the LaTeX Project Public License Distributed from CTAN archives %% in directory macros/latex/base/lppl.txt. %% %% Modified by Etienne Riga - Dec. 16, 1999 %% Modified by Etienne Riga - 2005/01/01 (er) %% to add /Diamond, /SolidDiamond and /BoldDiamond %% Modified by Herbert Voss (hv) - 2008/04/17 % 10 dict dup begin % hold local /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 % fill the array with /.notdef Encoding % replace with given dot names dup (b) 0 get /Bullet put % get the numerical position of b in ASCII % % and save /Bullet at this place in Encoding dup (c) 0 get /Circle put dup (C) 0 get /BoldCircle put % 67 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 (f) 0 get /Octogon put % 2008-04-18 hv dup (F) 0 get /BoldOctogon put % 2008-04-18 hv dup (g) 0 get /SolidOctogon put % 2008-04-18 hv dup (a) 0 get /Add put dup (A) 0 get /BoldAdd put % 65 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 % 2008-04-18 hv /OctogonPath { 550 dup 22.5 tan mul dup neg dup add /xMove exch def exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def /SolidOctogon { OctogonPath fill } def /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def /BoldOctogon { OctogonPath .79 .79 scale OctogonPath 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 %% end %%EndProcSet %%BeginProcSet: pst-node.pro 0 0 % $Id: pst-node.pro 26 2008-06-14 11:50:02Z herbert $ %% %% PostScript prologue for pst-node.tex. %% Version 1.00, 2008/01/01. %% %% This program can be redistributed and/or modified under the terms %% of the LaTeX Project Public License Distributed from CTAN archives %% in directory macros/latex/base/lppl.txt. % /tx@NodeDict 400 dict def tx@NodeDict begin tx@Dict begin % from main pstricks dict /T /translate load def end /NewNode { % on stack: { x y } boolean N@name type InitXnode gsave /next ED % { x y } boolean N@name type dict dup % { x y } boolean N@name dict dict 3 1 roll def % { x y } boolean dict N@name dict def exch { dup 3 1 roll def } if % { x y } dict boolean begin % { x y } dict begin tx@Dict begin STV CP T exec % set scaling end /NodeMtrx CM def % save CM next % InitXNode 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 % second and first node /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 %% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $ % PostScript prologue for pstricks-add.tex. % Version 0.21, 2008/10/15 % For distribution, see pstricks.tex. % % HISTORY -> see file Changes % /tx@addDict 410 dict def tx@addDict begin %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /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 % /RGBtoCMYK { % on stack r g b -> C M Y K 3 dict begin /Blue ED /Green ED /Red ED 1 Red sub % Cyan 1 Green sub % Magenta 1 Blue sub % Yellow 0 % Black end } def % /CMYKtoGRAY { % on stack c m y k -> gray exch 0.11 mul add exch 0.59 mul add exch 0.3 mul add dup 1 gt { pop 1 } if neg 1 add } def % /RGBtoGRAY { % on stack r g b -> gray 0.11 mul exch 0.59 mul add exch 0.3 mul add } def % /HSBtoGRAY { 6 dict begin /b exch def /s exch def 6 mul dup cvi dup /i exch def sub /f exch def /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def F i get { s mul neg 1 add b mul} forall 0.11 mul exch 0.59 mul add exch 0.3 mul add end } def % %% convertisseur longueur d'onde ->R,G,B Manuel Luque %% lambda max=780 nanometres %% lambda min=380 nanometres %% 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 % /wavelengthToCMYK { % the wavelength in nm must be on top of the stack cvi /lambda exch def % no floating point here gsave calculateRGB Red Green Blue RGBtoCMYK /Black ED /Yellow ED /Magenta ED /Cyan ED grestore } def % now the colors are saved in Cyan Magenta Yellow Black % /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 % %%%%% ### bubblesort ### %% syntax : array bubblesort --> array2 trie par ordre croissant %% code de Bill Casselman %% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ /bubblesort { 4 dict begin /a exch def /n a length 1 sub def n 0 gt { % at this point only the n+1 items in the bottom of a remain to % the sorted largest item in that blocks is to be moved up into % position n n { 0 1 n 1 sub { /i exch def a i get a i 1 add get gt { % if a[i] > a[i+1] swap a[i] and a[i+1] a i 1 add a i get a i a i 1 add get % set new a[i] = old a[i+1] put % set new a[i+1] = old a[i] put } if } for /n n 1 sub def } repeat } if a end } def % end % % END pstricks-add.pro %%EndProcSet %%BeginProcSet: special.pro 0 0 %! 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def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.70709 0.0 5.43198 5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.70709 0.0 -5.43198 5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 1.70709 -5.43198 5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 -1.70709 -5.43198 -5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.70709 0.0 -5.43198 -5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.70709 0.0 5.43198 -5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 -1.70709 5.43198 -5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 1.20709 8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 -1.20709 8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 1.20709 0.0 8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 1.20709 0.0 8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 -1.20709 -8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 1.20709 -8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 -1.20709 0.0 -8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial @beginspecial @setspecial tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def /ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 -1.20709 0.0 -8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside } if 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 x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore end @endspecial eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF