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%%Creator: dvips(k) 5.96 Copyright 2005 Radical Eye Software
%%Title: demo0.dvi
%%CreationDate: Mon Mar 26 22:07:53 2007
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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
%!
% PostScript prologue for pstricks.tex.
% Version 1.01, 2006/01/11
% For distribution, see pstricks.tex.
%
/tx@Dict 200 dict def tx@Dict begin
/ADict 25 dict def
/CM { matrix currentmatrix } bind def
/SLW /setlinewidth load def
/CLW /currentlinewidth load def
/CP /currentpoint load def
/ED { exch def } bind def
/L /lineto load def
/T /translate load def
/TMatrix { } def
/RAngle { 0 } def
/Atan { /atan load stopped { pop pop 0 } if } def
/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, epects 2 parameter
/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
%----------------- hv added 20050516 ---------------
/Pi 3.14159265359 def 
/TwoPi 6.28318530718 def
/Euler 2.71828182846 def 
/RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees
/DegtoRad { Pi mul 180 div } bind def % viceversa
%----------------- hv end---------------------------
/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
/PathLength { flattenpath /z 0 def 
  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def
  }{ /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ }
  /pathforall load stopped { pop pop pop pop } if z } def
/STP { .996264 dup scale } def
/STV { SDict begin normalscale end STP  } def
%
%%-------------- DG begin patch 15 ---------------%%
%/DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
%PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
%mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
%/y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
%0 } ifelse setdash stroke } def
/DashLine {
  dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
  /b ED /x1 ED /y1 ED /x ED /y ED 
  /z y x add y1 add x1 add def
  /Coef b a .5 sub 2 mul y mul sub z Div round 
    z mul a .5 sub 2 mul y mul add b exch Div def 
  /y y Coef mul def 
  /x x Coef mul def 
  /y1 y1 Coef mul def 
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  x1 0 gt y1 0 gt or x 0 gt or y 0 gt and 
    { [ y x y1 x1 ] 1 a sub y mul }
    { [ 1 0 ] 0 } ifelse 
  setdash stroke
} def
%%-------------- DG end patch 15 ---------------%%
/DotLine { 
  /b PathLength def 
  /a ED /z ED /y CLW def 
  /z y z add def 
  a 0 gt { 
    /b b a div def 
  }{ 
    a 0 eq { 
      /b b y sub def 
    }{ a -3 eq { 
      /b b y add def } if 
    } ifelse 
  } ifelse 
  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
  setdash 1 setlinecap stroke 
} def
%
/LineFill { % hv ------------ patch 7 -------------
  gsave 
  abs /hatchWidthInc ED
  abs /hatchSepInc ED
  abs CLW add /a ED 
  a 0 dtransform round exch round exch
  2 copy idtransform 
  exch Atan rotate 
  idtransform pop /a ED 
  .25 .25 itransform pathbbox 
  /y2 ED 
  a Div ceiling cvi /x2 ED /y1 ED 
  a Div cvi /x1 ED /y2 y2 y1 sub def 
  clip 
  newpath 
  2 setlinecap 
  systemdict
  /setstrokeadjust known { true setstrokeadjust } if 
  x2 x1 sub 1 add { 
    x1 a mul y1 moveto 0 y2 rlineto stroke 
    /x1 x1 1 add 
      hatchWidthInc 0 gt { CLW add } if 
    def 
    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
      /a a hatchSepInc add def
      CLW hatchWidthInc add SLW 
    } if
  } repeat 
  grestore 
  pop pop } def
%
%gsave abs CLW add /a ED a 0 dtransform round exch round exch
%2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
%% DG/SR modification begin - Dec. 12, 1997 - Patch 2
%%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
%itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
%% DG/SR modification end
%Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
%/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
%% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
%% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
%% def
%a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
%pop pop } def
%% DG/SR modification end
%
/BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg
exch 3 index sub exch Atan rotate newpath } def
/EndArrow { @mtrx setmatrix CP grestore end } def
/Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1
scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill
grestore } def
/Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0
CLW moveto } def
/Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2
div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0
CLW moveto } def
/RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW
2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0
curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto }
def
/SD { 0 360 arc fill } def
/EndDot { 
  { /z DS def } { /z 0 def } ifelse 
  /b ED 
  0 z DS SD 
  b { 0 z DS CLW sub SD } if 
  0 DS z add CLW 4 div sub moveto } def
/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
/closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
load } if ] cvx newpath 3 1 roll T exec } def
/NArray { 
  aload length 2 div dup dup cvi eq not { exch pop } if 
  /n exch cvi def } def
/NArray { % holds the coordinates and on top of stack the showpoints boolean
  /f ED 
  counttomark 2 div dup cvi /n ED 
  n eq not { exch pop } if
  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
} def
/Line { 
  NArray n 0 eq not 
    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
      n { Lineto } repeat 
      CP 4 2 roll ArrowB L pop pop 
    } if 
} def
/Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 }
  ifelse { pop } repeat a } def
/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
  and { pop pop /n n 1 sub def } if } def
/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
  repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
  ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
  moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
  Lineto pop pop closepath } ifelse } def
/Diamond { 
  /mtrx CM def 
  T rotate 
  /h ED 
  /w ED 
  dup 0 eq { pop } { CLW mul neg 
    /d ED 
    /a w h Atan def 
    /h d a sin Div h add def 
    /w d a cos Div w add def } ifelse 
  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
  /ArrowA { moveto } def 
  /ArrowB { } def 
  false Line 
  closepath mtrx setmatrix } def
% DG modification begin - Jan. 15, 1997
%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
%setmatrix } def
/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
% setmatrix } def
setmatrix pop } def
% DG/SR modification end
/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
def } def
/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
def } def
/CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1
def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp
mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos
abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def
/y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul
m mul neg def } def
/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }
ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def }
def
/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
/NC { CC x1 y1 x2 y2 x y curveto } def
/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
/NAC { x2 y2 x y curveto CC x1 y1 } def
/EAC { x2 y2 x y ArrowB curveto pop pop } def
/OpenCurve { 
  NArray n 3 lt 
    { n { pop pop } repeat } 
    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
} def
/AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload
/Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop
pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def
/ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt {
CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC }
repeat closepath pop pop } ifelse } def
/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
def
/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
rotate matrix concatmatrix exch findfont exch makefont setfont } def
/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
x1 y1 lineto closepath } def
/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
ifelse } def
/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
pop pop Rect } { OvalFrame } ifelse } def
/BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop
} if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ]
aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
/OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6
2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto }
ifelse } def
/ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv {
6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def
/BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1
sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore }
def
/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1
sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA
x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0
y0 x0 2 mul x1 sub y1 ] def } def
/Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 }
if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if
/dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div
round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div
round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub
0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def
/Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def }
if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }
{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n
div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1
dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt {
dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt {
pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup
stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg}
{z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i
w add def } repeat grestore gsave n 0 gt
% DG/SR modification begin - Nov. 7, 1997 - Patch 1
%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
% DG/SR modification end
{ 2 setlinecap } ifelse /i y1 def /f x1 dx mul
n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n
div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop
1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs
dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt
{z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g
exch t L stroke /i i h add def } repeat grestore } def
/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0
1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add
exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
mul neg d } def
/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
%
/ArcAdjust { %%%% Vincent Guirardel
% given a target length (targetLength) and an initial angle (angle0) [in the stack],
% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
% This computes an angle t such that (x0,y0) is at distance 
% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
% contrary to TvZ's code.
% To achieve, this, one iterates the following process: start with some angle t,
% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
%
% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
% the value of d = add/sub is used to know on which side we have to move.
% It is only used in the initialisation of the angle before the iteration.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Input stack:  1: target length 2: initial angle
% variables used : rx, ry, d (=add/sub)
%
  /targetLength ED /angle0 ED
  /x0 rx angle0 cos mul def
  /y0 ry angle0 sin mul def
% we are looking for an angle t such that (x0,y0) is at distance targetLength 
% from the point M(t)=(rx*cos(t),ry*sin(t)))
%initialisation of angle (using 1st order approx = TvZ's code)
  targetLength 57.2958 mul
  angle0 sin rx mul dup mul
  angle0 cos ry mul dup mul
  add sqrt div 
% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
% (if the ellipse is very curved at the point where we draw the arrow, %
% the value can be much more than 360 degrees !)
% this should avoid going on the wrong side (more than 180 degrees) or go near
% a bad attractive point (at 180 degrees)
  dup 90 ge { pop 90 } if 
  angle0 exch d % add or sub
% maximum number of times to iterate the iterative procedure:
% iterative procedure: takes an angle t on top of stack, computes a 
% better angle (and put it on top of stack)
  30 { dup
% compute distance D between (x0,y0) and M(t)
    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
% if D almost equals targetLength, we stop
    dup targetLength sub abs 1e-5 le { pop exit } if
% stack now contains D t
% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
% stack contains:  y(t)-y0, x(t)-x0, d
    2 index Div targetLength mul y0 add ry Div exch
    2 index Div targetLength mul x0 add rx Div
% stack contains x(t')/rx , y(t')/ry , d
% now compute t', and remove D from stack
    atan exch pop
  } repeat
% we don't look at what happened... in particular, if targetLength is greater 
% than the diameter of the ellipse...
% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
% to give back the result as a an angle relative to angle0 we could add the following line:
% angle0 sub 0 exch d
%
% begin bug fix 2006-01-11
% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
%(we don't want to make the ellipse turn more or less than it should)...
dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
% end bug fix
} def
%
/EllipticArcArrow {
  /d ED      % add/sub
  /b ED      % arrow procedure
  /a1 ED     % angle
  gsave
  newpath
  0 -1000 moveto
  clip                  % Set clippath far from arrow.
  newpath
  0 1 0 0 b             % Draw arrow to determine length.
  grestore
% Length of arrow is on top of stack. Next 3 numbers are junk.
%
  a1 exch ArcAdjust   % Angular position of base of arrow.
  /a2 ED
  pop pop pop
  a2 cos rx mul x add
  a2 sin ry mul y add
  a1 cos rx mul x add
  a1 sin ry mul y add
% Now arrow tip coor and base coor are on stack.
  b pop pop pop pop       % Draw arrow, and discard coordinates.
  a2 CLW 8 div
% change value of d (test it by looking if  `` 1 1 d '' gives 2 or not )
  1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse
  ArcAdjust
% resets original value of d
  1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse  % Adjust angle to give overlap.
} def
%%------------------ tvz/DG/hv (2004-05-10) end -------------------%%
%
/Rot { CP CP translate 3 -1 roll neg rotate NET  } def
/RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 }
def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle
dup a add ] cvx def } def
/RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ]
cvx def } def
/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
/Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s
abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b
div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {
h1 abs h sub dup s mul abs } ifelse } def
/UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s
mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q
{ x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add
exch } def
/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible
/IfVisible true def } if } { IfVisible { Invisible /IfVisible false def
} if } ifelse } def
/InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
/Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit
neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def
/IfVisible true def } def
end
% END pstricks.pro

%%EndProcSet
%%BeginProcSet: pst-dots.pro 0 0
%!
%% PostScript prologue for pstricks.tex.
%% Version 2.00,                                    Suggestion of 2006/12/19
%% For distribution, see pstricks.tex.
%%
%% Timothy Van Zandt <tvz@Princeton.EDU>
%%
%% Modified by Etienne Riga  - Dec. 16, 1999
%% Modified by Herbert Voss (hv) - 2004/12/27 
%% Modified by Etienne Riga  - 2005/01/01 (er)
%% to add /Diamond, /SolidDiamond and /BoldDiamond
%
10 dict dup begin
  /FontType 3 def
  /FontMatrix [.001 0 0 .001 0 0] def
  /FontBBox [-571.5 -742.5 571.5 742.5] def
%  /FontBBox [-1000 -1000 1000 1000] def
%                See end of file in /BuildGlyph
  /Encoding 256 array def
  0 1 255 {Encoding exch/.notdef put} for
  Encoding
    dup (b) 0 get /Bullet put
    dup (c) 0 get /Circle put
    dup (C) 0 get /BoldCircle put
    dup (u) 0 get /SolidTriangle put
    dup (t) 0 get /Triangle put
    dup (T) 0 get /BoldTriangle put
    dup (r) 0 get /SolidSquare put
    dup (s) 0 get /Square put
    dup (S) 0 get /BoldSquare put
    dup (q) 0 get /SolidPentagon put
    dup (p) 0 get /Pentagon put
    dup (P) 0 get /BoldPentagon put
%%%		  
    dup (k) 0 get /Asterisk put
    dup (K) 0 get /BoldAsterisk put
    dup (J) 0 get /SolidAsterisk put
    dup (h) 0 get /Hexagon put
    dup (H) 0 get /BoldHexagon put
    dup (G) 0 get /SolidHexagon put
    dup (a) 0 get /Add put
    dup (A) 0 get /BoldAdd put
    dup (x) 0 get /Mul put
    dup (X) 0 get /BoldMul put
    dup (m) 0 get /Oplus put
    dup (M) 0 get /BOplus put
    dup (e) 0 get /SolidOplus put
    dup (n) 0 get /Otimes put
    dup (N) 0 get /BOtimes put
    dup (E) 0 get /SolidOtimes put
    dup (i) 0 get /Bar put
    dup (I) 0 get /BoldBar put
    dup (l) 0 get /SolidDiamond put
    dup (d) 0 get /Diamond put
        (D) 0 get /BoldDiamond put
%%%  
/CharProcs 47 dict def
  CharProcs begin
    /CirclePath {0 0 500 0 360 arc closepath} def
      /Bullet {CirclePath fill} def
	  /Circle {CirclePath .9 .9 scale CirclePath eofill} def
	  /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def
    /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto
		closepath} def
	  /SolidTriangle {TrianglePath fill} def
      /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def
      /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def
    /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto
		closepath} def
      /SolidSquare {SquarePath fill} def
      /Square {SquarePath .89 .89 scale SquarePath eofill} def
      /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def
    /PentagonPath {-337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto
		0 574.7 lineto -546.6 177.6 lineto closepath} def
      /SolidPentagon {PentagonPath fill} def
      /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def
      /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def
%-------------- hv begin 2004/07/25   from: er 2003/03/24
    /HexagonPath {0 550 moveto -476 275 lineto -476 -275 lineto
		0 -550 lineto 476 -275 lineto 476 275 lineto closepath} def
      /SolidHexagon {HexagonPath fill} def
      /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def
      /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def
	/AsteriskPath {20 0 moveto 10 250 180 500 0 500 curveto
		-180 500 -10 250 -20 0 curveto closepath} def
      /Asterisk {AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath
	    60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 
		fill} def
	/Basterp {50 250 220 500 0 500 curveto
        -220 500 -50 250 -50 30 cos 100 mul curveto} def
	/BoldAsteriskPath {50 30 cos 100 mul moveto  Basterp
                     60 rotate Basterp 60 rotate Basterp
                     60 rotate Basterp 60 rotate Basterp
                     60 rotate Basterp closepath} def
      /BoldAsterisk {BoldAsteriskPath fill} def
	  /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def
    /CrossPath {40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto
        -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto 
		40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath} def
    /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto
        -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto 
		80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath} def
      /Add {CrossPath fill} def
      /Mul {45 rotate CrossPath fill} def
      /BoldAdd {BoldCrossPath fill} def
      /BoldMul {45 rotate BoldCrossPath fill} def
	  /Oplus {CirclePath .9 .9 scale CirclePath eofill
		.775 .775 scale CrossPath  fill} def 
	  /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def 
	  /BOplus {CirclePath .8 .8 scale CirclePath eofill
		.775 .775 scale BoldCrossPath fill} def 
	  /Otimes {CirclePath .9 .9 scale CirclePath eofill
		45 rotate .775 .775 scale CrossPath fill} def 
	  /BOtimes {CirclePath .8 .8 scale CirclePath eofill
		45 rotate .775 .775 scale BoldCrossPath  fill } def 
	  /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def 
    /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto
		closepath} def
      /Bar {BarPath fill} def
    /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto
		closepath} def
      /BoldBar {BoldBarPath fill} def
    /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 
		428.5 0 lineto closepath} def
      /SolidDiamond {DiamondPath fill} def
      /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def
      /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def
%%%
    /.notdef { } def
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  /BuildGlyph {
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%      Metrics 1 index get exec 0
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%      BBoxes 3 index get exec
      -1000 -1000 1000 1000
%     -571.5 -742.5 571.5 742.5
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end
/PSTricksDotFont exch definefont pop


%%EndProcSet
%%BeginProcSet: pst-text.pro 0 0
%!
% PostScript header file pst-text.pro
% Version 1.0, 2005-11-29 (hv)
% For distribution, see pstricks.tex.

/tx@TextPathDict 40 dict def
tx@TextPathDict begin

% Syntax:  <dist> PathPosition -
% Function: Searches for position of currentpath distance <dist> from
%           beginning. Sets (X,Y)=position, and Angle=tangent.
/PathPosition
{ /targetdist exch def
  /pathdist 0 def
  /continue true def
  /X { newx } def /Y { newy } def /Angle 0 def
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/movetoproc { continue { @movetoproc } { pop pop } ifelse } def

/@movetoproc
{ /newy exch def /newx exch def
  /firstx newx def /firsty newy def
} def

/linetoproc { continue { @linetoproc } { pop pop } ifelse } def

/@linetoproc {
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  /newy exch def /newx exch def
  /dx newx oldx sub def
  /dy newy oldy sub def
  /dist dx dup mul dy dup mul add sqrt def
  /pathdist pathdist dist add def
  pathdist targetdist ge
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    /Angle dy dx atan def
    /continue false def
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} def

/TextPathShow { 
  /String exch def
  /CharCount 0 def
% hv begin 2005-11-29   1.00
%   String length
%   { String CharCount 1 getinterval ShowChar
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% hv end 2005-11-29   1.00
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% Syntax: <pathlength> <position> InitTextPath -
/InitTextPath
{ gsave
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    Voffset Hoffset sub add
    neg X add /Hoffset exch def
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  grestore
} def

/Transform
{ PathPosition
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  Angle cos mul Y add exch
  Angle sin mul neg X add exch
  translate
  Angle rotate
} def

/ShowChar { 
  /Char exch def
  gsave
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    tx@TextPathDict begin
    2 div /Sy exch def 2 div /Sx exch def

%%%  MV 10-09-99 00:36
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%   currentpoint

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    tx@TextPathDict begin
  grestore
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} def
%
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% END pst-text.pro

%%EndProcSet
%%BeginProcSet: 8r.enc 0 0
% @@psencodingfile@{
%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
%                W. Schmidt, P. Lehman",
%   version   = "20021105.19",
%   date      = "5 November 2002",
%   filename  = "8r.enc",
%   email     = "tex-fonts@@tug.org",
%   docstring = "This is the encoding vector for Type1 and TrueType
%                fonts to be used with TeX.  This file is also included
%                in the PSNFSS bundle."
% @}
%
% The idea is to have all the characters normally included in Type 1 fonts
% available for typesetting. This is effectively the characters in Adobe
% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
% MacRoman, and some extra characters from Lucida.
% 
% Character code assignments were made as follows:
%
% (1) the Windows ANSI characters are almost all in their Windows ANSI
% positions, because some Windows users cannot easily reencode the
% fonts, and it makes no difference on other systems. The only Windows
% ANSI characters not available are those that make no sense for
% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
% (173). quotesingle and grave are moved just because it's such an
% irritation not having them in TeX positions.
% 
% (2) Remaining characters are assigned arbitrarily to the lower part
% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
% 
% (3) Y&Y Lucida Bright includes some extra text characters; in the
% hopes that other PostScript fonts, perhaps created for public
% consumption, will include them, they are included starting at 0x12.
% These are /dotlessj /ff /ffi /ffl.
% 
% (4) hyphen appears twice for compatibility with both ASCII and Windows.
%
% (5) /Euro was assigned to 128, as in Windows ANSI.
%
% (6) Missing characters from MacRoman encoding incorporated in October
% 2002 as follows:
%
%     PostScript      MacRoman        TeXBase1
%     --------------  --------------  --------------
%     /notequal       173             0x16
%     /infinity       176             0x17
%     /lessequal      178             0x18
%     /greaterequal   179             0x19
%     /partialdiff    182             0x1A
%     /summation      183             0x1B
%     /product        184             0x1C
%     /pi             185             0x1D
%     /integral       186             0x81
%     /Omega          189             0x8D
%     /radical        195             0x8E
%     /approxequal    197             0x8F
%     /Delta          198             0x9D
%     /lozenge        215             0x9E
%
/TeXBase1Encoding [
% 0x00
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 /fraction /hungarumlaut /Lslash /lslash
 /ogonek /ring /.notdef /breve
 /minus /.notdef /Zcaron /zcaron
% 0x10
 /caron /dotlessi /dotlessj /ff
 /ffi /ffl /notequal /infinity
 /lessequal /greaterequal /partialdiff /summation
 /product /pi /grave /quotesingle
% 0x20
 /space /exclam /quotedbl /numbersign
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 /parenleft /parenright /asterisk /plus
 /comma /hyphen /period /slash
% 0x30
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 /four /five /six /seven
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% 0x40
 /at /A /B /C
 /D /E /F /G
 /H /I /J /K
 /L /M /N /O
% 0x50
 /P /Q /R /S
 /T /U /V /W
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% 0x60
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 /d /e /f /g
 /h /i /j /k
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% 0x70
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 /t /u /v /w
 /x /y /z /braceleft
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% 0x80
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 /quotedblbase /ellipsis /dagger /daggerdbl
 /circumflex /perthousand /Scaron /guilsinglleft
 /OE /Omega /radical /approxequal
% 0x90
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 /oe /Delta /lozenge /Ydieresis
% 0xA0
 /.notdef /exclamdown /cent /sterling
 /currency /yen /brokenbar /section
 /dieresis /copyright /ordfeminine /guillemotleft
 /logicalnot /hyphen /registered /macron
% 0xD0
 /degree /plusminus /twosuperior /threesuperior
 /acute /mu /paragraph /periodcentered
 /cedilla /onesuperior /ordmasculine /guillemotright
 /onequarter /onehalf /threequarters /questiondown
% 0xC0
 /Agrave /Aacute /Acircumflex /Atilde
 /Adieresis /Aring /AE /Ccedilla
 /Egrave /Eacute /Ecircumflex /Edieresis
 /Igrave /Iacute /Icircumflex /Idieresis
% 0xD0
 /Eth /Ntilde /Ograve /Oacute
 /Ocircumflex /Otilde /Odieresis /multiply
 /Oslash /Ugrave /Uacute /Ucircumflex
 /Udieresis /Yacute /Thorn /germandbls
% 0xE0
 /agrave /aacute /acircumflex /atilde
 /adieresis /aring /ae /ccedilla
 /egrave /eacute /ecircumflex /edieresis
 /igrave /iacute /icircumflex /idieresis
% 0xF0
 /eth /ntilde /ograve /oacute
 /ocircumflex /otilde /odieresis /divide
 /oslash /ugrave /uacute /ucircumflex
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] def

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DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70
setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0
setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1
setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end

%%EndProcSet
%%BeginFont: Helvetica-Bold
%!PS-AdobeFont-1.0: Helvetica-Bold 002.000
%%CreationDate: Thu May  1 14:05:53 1997
%%VMusage: 29003 35895
%% The digitally encoded machine readable software for producing the 
%% Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990, 1997 
%% Adobe Systems. All Rights Reserved. This software is the property of Adobe 
%% Systems Incorporated and its licensors, and may not be reproduced, used,  
%% displayed, modified, disclosed or transferred without the express  written 
%% approval of Adobe.  The digitally encoded machine readable outline data 
%% for producing the Typefaces licensed to you is copyrighted (c) 1981, 1997 
%% Linotype-Hell AG and/or its subsidiaries. All Rights Reserved. This data 
%% is the property of Linotype-Hell AG and/or its subsidiaries and may not be 
%% reproduced, used, displayed, modified, disclosed or  transferred without 
%% the express written approval of Linotype-Hell AG  and/or its subsidiaries. 
%% Helvetica is a trademark of Linotype-Hell AG and/or its subsidiaries.
FontDirectory/Helvetica-Bold known{/Helvetica-Bold findfont dup /UniqueID known{dup /UniqueID get 43143 eq exch /FontType get 1 eq and}{pop false}ifelse 
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontInfo 10 dict dup begin
/version (002.000) readonly def
/Notice (Copyright (c) 1985, 1987, 1989, 1990, 1997 Adobe Systems Incorporated.  All Rights Reserved.Helvetica is a trademark of Linotype-Hell AG and/or its subsidiaries.) readonly def
/Copyright ( The digitally encoded machine readable software for producing the
 Typefaces licensed to you is copyrighted (c) 1985, 1987, 1989, 1990,
 1997 Adobe Systems.
 All Rights Reserved. This software is the property of Adobe Systems
 Incorporated and its licensors, and may not be reproduced, used, 
 displayed, modified, disclosed or transferred without the express 
 written approval of Adobe.
 
 The digitally encoded machine readable outline data for producing
 the Typefaces licensed to you is copyrighted (c) 1981, 1997 Linotype-Hell
 AG and/or its subsidiaries. All Rights Reserved.
 This data is the property of Linotype-Hell AG and/or its subsidiaries
 and may not be reproduced, used, displayed, modified, disclosed or 
 transferred without the express written approval of Linotype-Hell AG 
 and/or its subsidiaries. ) readonly def
/FullName (Helvetica Bold) readonly def
/FamilyName (Helvetica) readonly def
/Weight (Bold) readonly def
/isFixedPitch false def
/ItalicAngle 0 def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/FontName /Helvetica-Bold def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0]  def
/UniqueID 43143 def
/FontBBox{-170 -228 1003 962}readonly def
currentdict end
currentfile eexec

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cleartomark
{restore}if


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TeXDict begin
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%%Trailer

userdict /end-hook known{end-hook}if
%%EOF