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% PostScript prologue for pstricks.tex.

% Version 97 patch 4, 04/05/10

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%

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/ADict 25 dict def

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%

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

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/LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch

2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25

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

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

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

% DG/SR modification end

Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict

/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1

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

% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }

% def

a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore

pop pop } def

% DG/SR modification end

/BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg

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/SD { 0 360 arc fill } def

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/NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch

cvi def } def

/NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if

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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

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 {

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

%setmatrix } def

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

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

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

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

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

% setmatrix } def

setmatrix pop } def

% DG/SR modification end

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

def } def

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

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/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

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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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/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def

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/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def

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

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/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

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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

/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

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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

/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1

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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 }

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/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

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dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt

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

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mul neg d } def

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

/Rot { CP CP translate 3 -1 roll neg rotate NET  } def

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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

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

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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 {

      2 copy dtransform floor .5 add exch floor .5 add exch idtransform

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

    } def

    /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

                     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

% 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-grad.pro 0 0

%!

% PostScript prologue for pst-grad.tex.

% Version 1.04, 2004/06/23 (adding %GradientCircle style - D.G.)

% prepared by Herbert Voss

% For copying restrictions, see pstricks.tex.

%

% For the PSTricks gradient fillstyle.%

% Based on some EPS files by leeweyr!bill@nuchat.sccsi.com (W. R. Lee).%

% Syntax:% D.G. modification begin - Apr.  9, %1998

%%%%%% R0 G0 B0 R1 G1 B1 NumLines MidPoint Angle GradientFill

%   ifGradientCircle GradientScale %GradientPosX GradientPosY

%     R0 G0 B0 R1 G1 B1 NumLines MidPoint %Angle GradientFill

% D.G. modification end

%

/tx@GradientDict 40 dict def

tx@GradientDict begin

/GradientFill {

 rotate

 /MidPoint ED

 /NumLines ED

 /LastBlue ED

 /LastGreen ED

  /LastRed ED

  /FirstBlue ED

  /FirstGreen ED

/FirstRed ED

% D.G. modification begin - Apr.  9, 1998

/GradientPosY ED

/GradientPosX ED

  /GradientScale ED

  /ifGradientCircle ED

% D.G. modification end

  % This avoids gaps due to rounding errors:

    clip

  pathbbox           %leave llx,lly,urx,ury on stack

% D.G. modification begin - Apr. 10, 1998

  4 copy /ury ED /urx ED /lly ED /llx ED

% D.G. modification end

  /y ED /x ED

% D.G. modification begin - Apr. 10, 1998

ifGradientCircle

   {0 GradientPosX eq

    {0 GradientPosX eq {2 copy translate} if} if}

   {2 copy translate} ifelse

% D.G. modification end

    y sub neg /y ED

  x sub neg /x ED  % This avoids gaps due to rounding errors:

  LastRed FirstRed add 2 div

   LastGreen FirstGreen add 2 div

  LastBlue FirstBlue add 2 div

    setrgbcolor

% D.G. modification begin - Jul. 23, 1997 / Apr.  9, 1998

  ifGradientCircle

   {/YSizePerLine y NumLines div def

    /CurrentY y 2 div def

    /MidLine NumLines 2 div 1 MidPoint sub mul abs cvi def}

       {fill

    /YSizePerLine y NumLines div def

        /CurrentY 0 def

    /MidLine NumLines 1 MidPoint sub mul abs cvi def} ifelse

% DG modification end

  MidLine NumLines 2 sub gt

    { /MidLine NumLines def }

  { MidLine 2 lt { /MidLine 0 def } if }

   ifelse

    MidLine 0 gt

      {

    /Red FirstRed def

       /Green FirstGreen def

           /Blue FirstBlue def

    /RedIncrement LastRed FirstRed sub MidLine 1 sub div def

    /GreenIncrement LastGreen FirstGreen sub MidLine 1 sub div def

    /BlueIncrement LastBlue FirstBlue sub MidLine 1 sub div def

    MidLine { GradientLoop } repeat

      } if

       MidLine NumLines lt

         {

    /Red LastRed def

       /Green LastGreen def

       /Blue LastBlue def

    /RedIncrement FirstRed LastRed sub NumLines MidLine sub 1 sub div def

    /GreenIncrement FirstGreen LastGreen sub NumLines MidLine sub 1 sub div def

    /BlueIncrement FirstBlue LastBlue sub NumLines MidLine sub 1 sub div def

    NumLines MidLine sub { GradientLoop } repeat  }

     if

     } def/GradientLoop {

% D.G. modification begin - Jul. 23, 1997 / Apr.  9, 1998

  ifGradientCircle

   {CurrentY 0 gt {

% The default center used is the center of the bounding box of the object

      0 GradientPosX eq        {0 GradientPosX eq

           {/GradientPosX urx llx sub 2 div def

            /GradientPosY ury lly sub 2 div def} if} if