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% PostScript prologue for pstricks.tex.

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%%-------------- DG end patch 15 ---------------%%

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% DG/SR modification begin - Dec. 12, 1997 - Patch 2

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itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a

% DG/SR modification end

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% 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

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/SD { 0 360 arc fill } def

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/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

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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 {

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%setmatrix } def

/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup

CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2

div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0

d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx

% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)

% setmatrix } def

setmatrix pop } def

% DG/SR modification end

/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth

def } def

/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth

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/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }

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/NAC { x2 y2 x y curveto CC x1 y1 } def

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/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

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x1 y1 lineto closepath } def

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/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto

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ifelse } def

/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add

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/BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop

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/OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6

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/ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv {

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/BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1

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def

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/Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 }

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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

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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

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/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0

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/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def

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/RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ]

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/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def

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/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

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div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {

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/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

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exch } def

/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible

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/InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def

/Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit

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/IfVisible true def } def

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%%Title: Dot Font for PSTricks

%%Creator: Timothy Van Zandt <tvz@Princeton.EDU>

%%Creation Date: May 7, 1993

%% Version 97 patch 1, 99/12/16

%% Modified by Etienne Riga <etienne.riga@skynet.be> - Dec. 16, 1999

%% to add /Diamond, /SolidDiamond and /BoldDiamond

10 dict dup begin

  /FontType 3 def

  /FontMatrix [ .001 0 0 .001 0 0 ] def

  /FontBBox [ 0 0 0 0 ] def

  /Encoding 256 array def

  0 1 255 { Encoding exch /.notdef put } for

  Encoding

    dup (b) 0 get /Bullet put

    dup (c) 0 get /Circle put

    dup (C) 0 get /BoldCircle put

    dup (u) 0 get /SolidTriangle put

    dup (t) 0 get /Triangle put

    dup (T) 0 get /BoldTriangle put

    dup (r) 0 get /SolidSquare put

    dup (s) 0 get /Square put

    dup (S) 0 get /BoldSquare put

    dup (q) 0 get /SolidPentagon put

    dup (p) 0 get /Pentagon put

    dup (P) 0 get /BoldPentagon put

% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga

    dup (l) 0 get /SolidDiamond put

    dup (d) 0 get /Diamond put

        (D) 0 get /BoldDiamond put

% DG/SR modification end

  /Metrics 13 dict def

  Metrics begin

    /Bullet        1000   def

    /Circle        1000   def

    /BoldCircle    1000   def

    /SolidTriangle 1344   def

    /Triangle      1344   def

    /BoldTriangle  1344   def

    /SolidSquare    886   def

    /Square         886   def

    /BoldSquare     886   def

    /SolidPentagon 1093.2 def

    /Pentagon      1093.2 def

    /BoldPentagon  1093.2 def

% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga

    /SolidDiamond  1008   def

    /Diamond       1008   def

    /BoldDiamond   1008   def

% DG/SR modification end

    /.notdef 0 def

  end

  /BBoxes 13 dict def

  BBoxes begin

    /Circle        { -550 -550 550 550 } def

    /BoldCircle    /Circle load def

    /Bullet        /Circle load def

    /Triangle      { -571.5 -330 571.5 660 } def

    /BoldTriangle  /Triangle load def

    /SolidTriangle /Triangle load def

    /Square        { -450 -450 450 450 } def

    /BoldSquare    /Square load def

    /SolidSquare   /Square load def

    /Pentagon      { -546.6 -465 546.6 574.7 } def

    /BoldPentagon  /Pentagon load def

    /SolidPentagon /Pentagon load def

% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga

    /Diamond       { -428.5 -742.5 428.5 742.5 } def

    /BoldDiamond   /Diamond load def

    /SolidDiamond  /Diamond load def

% DG/SR modification end

    /.notdef { 0 0 0 0 } def

  end

  /CharProcs 20 dict def

  CharProcs begin

    /Adjust {

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      3 -1 roll div 3 1 roll exch div exch scale

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    /CirclePath    { 0 0 500 0 360 arc closepath } def

    /Bullet        { 500 500 Adjust CirclePath fill } def

    /Circle        { 500 500 Adjust CirclePath .9 .9 scale CirclePath

                     eofill } def

    /BoldCircle    { 500 500 Adjust CirclePath .8 .8 scale CirclePath

                     eofill } def

    /BoldCircle    { CirclePath .8 .8 scale CirclePath eofill } def

    /TrianglePath  { 0  660 moveto -571.5 -330 lineto 571.5 -330 lineto

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    /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

% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga

    /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 .85 .85 scale DiamondPath eofill } def

    /BoldDiamond   { DiamondPath .7 .7 scale DiamondPath eofill } def

% DG/SR modification end

    /.notdef { } def

  end

  /BuildGlyph {

    exch

    begin

      Metrics 1 index get exec 0

      BBoxes 3 index get exec

      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 pst-dots.pro

%%EndProcSet

%%BeginProcSet: pst-node.pro 0 0

%!

% PostScript prologue for pst-node.tex.

% Version 97 patch 1, 97/05/09.

% For distribution, see pstricks.tex.

%

/tx@NodeDict 400 dict def tx@NodeDict begin

tx@Dict begin /T /translate load def end

/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def }

if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end

grestore } def

/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def

} def

/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch

Sin mul } def } def

/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def

} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def }

ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx

dup Sin mul Cos Div } ifelse } def

/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub

/u ED /NodePos { GetRnodePos } def } def

/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup

Cos mul exch Sin mul } def

/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h

mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul

} ifelse } def

/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d

ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d

sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan

sin def /NodePos { TriNodePos } def } def

/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos

hh mul Atan dup cos ww mul exch sin hh mul } def

/GetCenter { begin X Y NodeMtrx transform CM itransform end } def

/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist

Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg }

{ 0 Dist Sin mul } ifelse } ifelse Do } def

/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform

exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx

dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop

XYPos } ifelse } def

/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1

roll sin mul sub exch } ifelse } def

/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA

AddOffset yA add /yA1 ED xA add /xA1 ED } def

/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB

AddOffset yB add /yB1 ED xB add /xB1 ED } def

/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA

AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED

ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED

} ifelse } def

/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB

AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED

ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED

} ifelse } def

/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED

/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b

known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA

ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def

/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub

mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def

/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt

{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop

} repeat LPutLine cleartomark } def

/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED

/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3

mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx

sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul

add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add

y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul

mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def

/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def

} def

/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def

/NAngle yyB yyA sub xxB xxA sub Atan def } def

/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd  } def

/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def

} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit

} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd 

} def

/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def

} def

/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def

/NAngle yyB yyA sub xxB xxA sub Atan def } def

/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd  } def

/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def

} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {

exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark

VPosEnd  } def

/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2

roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx

def grestore exec /LPutVar /SaveLPutVar load def } def

/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def

GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos {

LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos {