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% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
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% DG/SR modification end
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if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }
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% DG/SR modification begin - Nov. 7, 1997 - Patch 1
%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
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% DG/SR modification end
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%
/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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/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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%% 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)
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%
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  /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
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    dup (c) 0 get /Circle put
    dup (C) 0 get /BoldCircle put
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%%%		  
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      /Square {SquarePath .89 .89 scale SquarePath eofill} def
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%-------------- hv begin 2004/07/25   from: er 2003/03/24
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      /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
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		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
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      /Mul {45 rotate CrossPath fill} def
      /BoldAdd {BoldCrossPath fill} def
      /BoldMul {45 rotate BoldCrossPath fill} def
	  /Oplus {CirclePath .9 .9 scale CirclePath eofill
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	  /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
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      /Bar {BarPath fill} def
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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
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%%%
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%      Metrics 1 index get exec 0
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%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
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%   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
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%                in the PSNFSS bundle."
% @}
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% 
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%
% (5) /Euro was assigned to 128, as in Windows ANSI.
%
% (6) Missing characters from MacRoman encoding incorporated in October
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%     --------------  --------------  --------------
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/TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{
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setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61
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setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0
setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90
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setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0
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setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{
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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
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%%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


%%EndFont
TeXDict begin 40258437 52099154 1000 600 600 (demo0.dvi)
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%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
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%%EndSetup
TeXDict begin 1 0 bop 0 TeXcolorgray Black 0 TeXcolorgray
257 1142 a
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%%Trailer

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