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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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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
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{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
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% DG/SR modification end
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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 }
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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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/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible
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%% 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
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%  /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
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    dup (q) 0 get /SolidPentagon put
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    dup (P) 0 get /BoldPentagon put
%%%		  
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    dup (K) 0 get /BoldAsterisk put
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    dup (H) 0 get /BoldHexagon put
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    dup (I) 0 get /BoldBar put
    dup (l) 0 get /SolidDiamond put
    dup (d) 0 get /Diamond put
        (D) 0 get /BoldDiamond put
%%%  
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	  /Circle {CirclePath .9 .9 scale CirclePath eofill} def
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	  /SolidTriangle {TrianglePath fill} def
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      /SolidSquare {SquarePath fill} def
      /Square {SquarePath .89 .89 scale SquarePath eofill} def
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      /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
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		0 -550 lineto 476 -275 lineto 476 275 lineto closepath} def
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      /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def
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	/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
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	/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 
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		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
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      /BoldBar {BoldBarPath fill} def
    /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 
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      /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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%      Metrics 1 index get exec 0
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%      BBoxes 3 index get exec
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userdict /end-hook known{end-hook}if
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