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systemdict /.setblendmode known not {/.setblendmode { pop } def } if
systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
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/tx@Dict 200 dict def 				% the main PSTricks dictionary
tx@Dict begin
/ADict 25 dict def				% The arrow dictionaray
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/ED { exch def } bind def
/L /lineto load def
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/TMatrix { } def
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  { pop 1.e10 } 				% return 1.e10 as infinit
  { dup sin exch cos div } ifelse 		% default sin/cos
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/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
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/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
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%/e Euler bind def
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/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
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/PathLength { 
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  z 
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/SymbolLine {   % on stack [ x y x y ...
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  2 div cvi /n ED     				% n pairs
  /YA ED /XA ED					% the start point
  n 1 sub { 
    /YB ED /XB ED
    /XLength XB XA sub def
    /YLength YB YA sub def
    /PAngle YLength XLength Atan def
    /XYLength XLength YLength Pyth def

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/LineFill { % hv ------------ patch 7 -------------
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  abs /hatchSepInc ED
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  a 0 dtransform round exch round exch
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/TruchetFill { %	 on stack: scaling factor
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%
  /f 3 def 
  5 srand dotiling 
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%
/BeginArrow { 
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  rotate newpath 
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/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
%
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%
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% for the coordinates the arrow is seen from top to bottom
% the bottom (tip) is (0;0)
  w neg h moveto % lower left of >
  w 9 div 4 mul neg h 3 div 2 mul
  w 9 div neg       h 3 div  
  0 0 curveto    % tip of >
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%
/Tbar { 
  CLW mul add /z ED 
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%
/Bracket { 
  CLW mul add dup CLW sub 2 div 
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  x neg CLW 2 div L x CLW 2 div L x y L stroke 
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%
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  mtrx setmatrix stroke 0 CLW moveto 
} def
%
/SD { 0 360 arc fill } def
%
/EndDot { % DS is the dot size 
  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
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  0 z DS SD 
  b { 0 z DS CLW sub SD } if 
  0 DS z add CLW 4 div sub 
  moveto 
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%
/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 { % holds the coordinates and on top of stack the showpoints boolean
  /showpoints ED 
  counttomark 2 div dup cvi /n ED  	% n 2 div on stack 
  n eq not { exch pop } if		% even numbers of points? delete one
  ] aload /Points ED 
  showpoints not { Points aload pop } if
%    { ] aload /Points ED } 
%    { n 2 mul 1 add -1 roll pop } ifelse	% delete the mark symbol 
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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
%
/LineToYAxis {
  /Ox ED		% Save the x origin value 
  NArray            % all x-y pairs on stack
  n { 2 copy moveto % go to current point
    Ox exch Lineto   % line to y-axis
    pop             % delete old x-value
  } repeat
} def
%
/LineToXAxis{
  /Oy ED		% Save the y origin value 
  NArray		% all x-y pairs on stack
  n 0 eq not
    { n 1 eq { 0 0 /n 2 def } if
      ArrowA
      /n n 2 sub def
      CP 2 copy moveto pop Oy Lineto
      n { 2 copy moveto pop Oy Lineto } repeat
      CP
      4 2 roll
      ArrowB
      2 copy moveto pop Oy
      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
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} 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  
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      /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
%
/SymbolPolygon {   % on stack [ x y x y ...
  counttomark 					% number of elements
  2 add /m ED
  2 copy m 2 roll				% copy last two
  m 2 div cvi /n ED    				% n pairs
  /YA ED /XA ED					% the start point
  n 1 sub { 
    /YB ED /XB ED
    /XLength XB XA sub def
    /YLength YB YA sub def
    /PAngle YLength XLength Atan def
    /XYLength XLength YLength Pyth def
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      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
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  pop	% delete the mark symbol
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%
/Diamond { 
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  T rotate 
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  dup 0 eq { pop } { CLW mul neg 
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    /h d a sin Div h add def 
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  /ArrowB { } def 
  false Line 
  closepath mtrx setmatrix } def
%
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  /mtrx CM def 
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  dup CLW mul /d ED 
  /h h d w h Atan sin Div sub def 
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  /ArrowA { moveto } def 
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  Line 
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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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%
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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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/EAC { x2 y2 x y ArrowB curveto pop pop } def
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  %% for negative SymStep we calculate the distance 
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      curveticks 
        { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED  
          x y translate rotAngle rotate 
          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
          SymbolLinewidth setlinewidth stroke
        }
        { 
          rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if        
          Symbol show 
        }
      ifelse 
      grestore /z0 z def } if 
    /yOld y def /xOld x def } 
  {} %% the lineto part
  { /y y2 def /x x2 def PathLength@ 
    x Shift sub y Shift sub moveto 
    gsave
    curveticks 
      { y yOld sub x xOld sub Atan 180 sub /rotAngle ED  
        x y translate rotAngle rotate 
        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
        SymbolLinewidth setlinewidth stroke
      }
      { 
        x Shift sub y Shift sub moveto 
        rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if        
        Symbol show 
      }
    ifelse 
    grestore
  }
  pathforall 
%  curveticks 
%   { gsave 
%     x y translate rotAngle rotate 
%     0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
%     SymbolLinewidth setlinewidth stroke grestore
%   } if
  z 
} def
%
/OpenSymbolCurve { 
  OpenCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} 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
%
/AltOpenSymbolCurve { 
  AltCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} 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
%
/ClosedSymbolCurve { 
  ClosedCurve
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} 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
%
/OpenSymbolBezier { 
  OpenBezier
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
} 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
%
/ClosedSymbolBezier { 
  /f ED				 % save showpoints value 
  2 copy /yEnd ED /xEnd ED
  counttomark -2 roll 2 copy /yStart ED /xStart ED
  counttomark 2 roll
  f
  ClosedBezier
  0.1 setflat
  /Shift Symbol stringwidth pop 2 div def 
  CurvePath 
  [ xEnd yEnd xStart yStart SymbolLine 
} 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 ED /x0 ED /y1 ED /x1 ED 
  /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
%
/Parab1 { % 1 end  |  0 SP
  /ySP ED /xSP ED /y1 ED /x1 ED 
  /dx xSP x1 sub 3 div def 
  /dy ySP y1 sub 3 div def 
  newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto 
                       x1 ySP lineto closepath clip 
  currentpoint
  newpath moveto
  xSP dx sub ySP dy add x1 y1 ArrowA
  xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB 
  curveto 
  /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def 
} def
%
/Grid { 
  newpath 
  /a 4 string def 
  /b ED % 				psk@gridlabels in pt
  /c ED % 				{ \pst@usecolor\psgridlabelcolor }
  /n ED % 				psk@griddots
  cvi dup 1 lt { pop 1 } if 
  /s ED % 				\psk@subgriddiv
  s div dup 0 eq { pop 1 } if 
  /dy ED s div dup 0 eq { pop 1 } if %	\pst@number\psyunit abs
  /dx ED dy div round dy mul %		\pst@number\psxunit abs
  /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 { 
  /rotAngle ED
  /mtrx CM def 
  T 
  rotAngle rotate
  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      % is add or 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 xOrig add % hv 2007-08-29   x->xOrig
  a2 sin ry mul yOrig add % hv 2007-08-29   y->yOrig
  a1 cos rx mul xOrig add % 
  a1 sin ry mul yOrig 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
%
%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% ### bubblesort ###
%% syntax : array bubblesort --> array2 trie par ordre croissant
%% code de Bill Casselman
%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
/bubblesort {
4 dict begin
   /a exch def
   /n a length 1 sub def
   n 0 gt {
      % at this point only the n+1 items in the bottom of a remain to
      % the sorted largest item in that blocks is to be moved up into
      % position n
      n {
         0 1 n 1 sub {
            /i exch def
            a i get a i 1 add get gt {
               % if a[i] > a[i+1] swap a[i] and a[i+1]
               a i 1 add
               a i get
               a i a i 1 add get
               % set new a[i] = old a[i+1]
               put
               % set new a[i+1] = old a[i]
               put
            } if
         } for
         /n n 1 sub def
      } repeat
   } if
   a
end
} def
%
%
/concatstringarray{  %  [(a) (b) ... (z)] --> (ab...z)  20100422
  0 1 index { length add } forall 
  string     
  0 3 2 roll      
  { 3 copy putinterval length add }forall 
  pop  
} bind def
%
/dot2comma {% on stack a string (...) 
  2 dict begin
  /Output exch def
  0 1 Output length 1 sub { 
    /Index exch def 
    Output Index get 46 eq { Output Index 44 put } if 
  } for
  Output
  end
} def
%
end
%-----------------------------------------------------------------------------%
%
% END pstricks.pro

%%EndProcSet
%%BeginProcSet: pst-algparser.pro 0 0
% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $
%%
%% PostScript prologue for PSTricks algorithm parser
%% Version 0.04, 2011/10/21
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%%-----------------------------------------------------------------------------%
%
/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
%
/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
%
% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13
%
% 09/2011 DR factorial with ! added
%
% E->T|E+T
% T->FS|T*FS
% FS -> F | +FS | -FS
% F->P|F^SF|P!
% P->(E)|literal
% literal->number|var|var[E]|func(params)
% params->E|E,param
% number->TOBEFINISHED
%
%% E expression, T term, SF signed factor, F factor, P power
%
%% parser
%
%% str
%
%% C->E<condition_operators>E
%% STR index -> STR index+lenExpr
/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp  } def
%
%% analyze Expression List (separator , or | )
%% STR index -> STR index+lenExpr
%% /AnalyzeListOfE {
%%   { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar
%%     NextNonBlankChar dup 0 eq { pop exit } if
%%     dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if
%%     pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop
%%   AnalyzeListOfEPostHook
%% } def
/AnalyzeListOfE {
  /NotFirst false def
  { NextNonBlankChar pop AnalyzeExpr
    NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse
    dup Strlen eq { exit } if NextNonBlankChar
    dup 44 ne 1 index 124 ne and
    { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse }
    if  pop 1 add } loop
  AnalyzeListOfEPostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% E->T|E+T
%% STR index -> STR index+lenExpr
/AnalyzeExpr {
  AnalyzePreHook AnalyzeTerm IsEndingExpr
  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
  { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop }
  ifelse
  AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% T->FS|T*FS
%% STR index
/AnalyzeTerm {
  AnalyzePreHook AnalyzeSignedFactor IsEndingTerm
  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
  { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop }
  ifelse
  AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% FS -> F | +FS | -FS
%% STR index
/AnalyzeSignedFactor {
  AnalyzePreHook 2 copy get dup IsUnaryOp
  { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp }
  { pop AnalyzeFactor }
  ifelse AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% F->P|F^P|P!
%% STR index
/AnalyzeFactor {
  AnalyzePreHook AnalyzePower IsEndingFactor
  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
  { { dup 33 eq%% is there a ! DR 09/2011
      { pop 1 add NextNonBlankChar pop EvalFactorial }
      { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower }
      ifelse
      IsEndingFactor { pop exit } if } loop }
  ifelse  AnalyzePostHook
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% P->(E)|literal
%% STR index
/AnalyzePower {
  %% depending of first char either a number, or a literal
  2 copy get dup 40 eq%%an open par
  { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop }
  { AnalyzeLiteral }
  ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index STR[index] -> STR index
%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def
/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% recognize + or -
%% chr -> T/F
/IsUnaryOp { dup 43 eq exch 45 eq or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a number can contain only : 0123456789.
%% chr -> T/F
/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index number
%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
%% STR index -> STR index' number
/ReadNumber {
  exch dup 3 -1 roll dup 3 1 roll
  %%read mantissa
  { 1 add  2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop
  dup 101 eq exch 69 eq or
  %%% there is a "e" or "E" -> read exponant
  { 1 add 2 copy get dup IsUnaryOp
    { pop 1 add 2 copy get } if
    { IsNumber not { exit } if 1 add 2 copy get } loop }
  if
  dup 4 1 roll
  3 -1 roll exch 1 index sub getinterval
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a number can contain only : 0123456789.
%% chr -> T/F
/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index number
%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
%% STR index -> STR index' number
/ReadCondOp {
  NextNonBlankChar 1 index 4 1 roll
  { IsCondOp not { exit } if 1 add  2 copy get } loop
  2 copy 5 -1 roll
  exch 1 index sub getinterval 3 1 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a literal can contain only : 0123456789.
%% chr -> T/F
/IsLiteral {%
  dup 48 ge exch dup  57 le 3 -1 roll and exch
  dup 65 ge exch dup  90 le 3 -1 roll and 3 -1 roll or exch
  dup 97 ge exch     122 le and or } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)?
%% STR index -> literal STR index' nextchr
/ReadLiteral {
  exch dup 3 -1 roll dup 3 1 roll
  %%read literal core
  { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop
  4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or a clpar
%% STR index -> STR index STR[index] T/F
/IsEndingExpr {%
  2 copy dup Strlen eq
  %% if end of str is reached -> end !
  { pop pop 0 true }
  %% ending chr -> clpar, comma, |, <, >, =, !,
  {get dup  dup  41 eq
       exch dup 124 eq
       exch dup  93 eq
       exch dup  44 eq
       exch dup  30 eq
       exch dup  60 ge exch 62 le and or or or or or}
  ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or a +-
%% STR index -> STR index STR[index] T/F
/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or */
%% STR index -> STR index STR[index] T/F
/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% expr is ended by end of str or ^
%% STR index -> STR index STR[index] T/F
/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% STR index -> STR index STR[index]
/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def
/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def
%%%%%%%%%%%%%%%%%%%%%%%%
%% DEBUG
/BRK {false} def
/BRKtrue {/BRK true def} def
/BRKStop {BRK {BRKtoto} if } def
/BRKEvalStop {BRK exch if } def
/BRKBRK2true {BRK {BRK2true} if } def
/BRK2 {false} def
/BRK2true {/BRK2 true def} def
/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def
end
%
%-------------------------------------------------------------------------------%
%
/tx@AlgToPs 12 dict def tx@AlgToPs begin
%
%% algExpr -> PSVector
/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def
/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def
/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def
/Strlen 0 def
/EvalListOfExpr {} def%
/EvalNumber {%
    ReadNumber  cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx
    exch 1 add array astore def NextNonBlankChar pop } def
/EvalAddSub {%
  /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
  43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def
} def
/EvalMulDiv {%
  /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
  42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def
} def
/EvalPower {%
  /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
  pop /exp cvx exch 1 add array astore def
} def
/EvalFactorial {% DR 09/2011
  /ExpressionVector ExpressionVector aload length
  /fact cvx exch 1 add array astore def
} def
/EvalLiteral {%
  ReadLiteral
  dup 40 eq%%% there is an open par -> function call
  { pop 2 index
    dup (Sum) eq { EvalSum }
    { dup (IfTE) eq { EvalCond }
      { dup (Derive) eq { pop EvalDerive }
	{ pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc
          /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx
	  exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse }
  { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def
    dup 91 eq%%% there is an open bracket -> vector element
    { pop 1 add NextNonBlankChar pop AnalyzeExpr
      /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add }
    { pop NextNonBlankChar pop }
    ifelse}
  ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% the derive function : Derive(n,f(x))
%% firstparindex lastparindex ->
/EvalDerive {
  %% manage the function descripiton
  1 add ReadNumber 3 1 roll NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
  1 add NextNonBlankChar pop
  3 -1 roll cvi
  dup 0 eq
  { pop AnalyzeExpr 3 -1 roll pop 1 add }
  { 1 sub 3 1 roll (x)  exch tx@Derive begin DeriveIndexed end 4 -1 roll
    { (x) tx@Derive begin Derive end } repeat
    ExpressionVector exch /ExpressionVector [] def
    AlgToPs aload length
    /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll  /l2 exch def /l1 exch def
    l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add
    1 index length /Strlen exch def } ifelse
} def
/EvalSum {%
  pop 1 add NextNonBlankChar pop
  %% read the variable name
  ReadLiteral pop NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
  %% read the initial value
  1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
  2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
  %% read the increment value
  1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
  2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
  %% read the limit value
  1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
  2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
  /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll
  5 -1 roll 4 add array astore def
  %% keep ExpressionVector for later and create a new one for internal Sum computation
  ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def
  1 add NextNonBlankChar pop AnalyzeExpr
  %% add each term
  /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def
  /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add
  array astore def 3 -1 roll pop 1 add
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Convert to radians if trigo function call
%% (name) ->
/TrigoFunc {
  dup (cos) eq 1 index (sin) eq or exch (tan) eq or
  { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
    array astore def
  } if
} def
/EvalCond {%
  pop 1 add AnalyzeCond NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
  ExpressionVector 3 1 roll /ExpressionVector [] def
  1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def
  NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
  1 add AnalyzeExpr
  NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if
  ExpressionVector
  /ExpressionVector 6 -1 roll aload length dup
  6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def
  1 add 3 -1 roll pop
} def
%% CondOp STR index
/EvalCondOp {%
  3 -1 roll
  dup (=) eq  { /eq } {%
  dup (<) eq  { /lt } {%
  dup (>) eq  { /gt } {%
  dup (>=) eq { /ge } {%
  dup (<=) eq { /ge } {%
  dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator }
  ifelse } ifelse } ifelse } ifelse } ifelse } ifelse
  cvx exch pop
  /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def
/EvalUnaryOp {
  3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% H O O K S
/AnalyzePreHook {} bind def
/PreEvalHook {} bind def
/AnalyzeListOfEPostHook {} bind def
/AnalyzePostHook {} def
/RollOp { 3 1 roll } bind def
end   %tx@CoreAnalyzerDict
%
%--------------------------------------------------------------------%
%
/tx@Derive 41 dict def tx@Derive begin
%%increase ^^ for each function added
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% algExpr variable -> PSVector
/Derive {%
  10240 string 3 1 roll 0 3 1 roll
  /Variable exch def
  tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end
} def
/Strlen 0 def
/InitParser { dup length /Strlen exch def 0 } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% algExpr variable index -> PSVector
/DeriveIndexed {%
  3 1 roll 10240 string 3 1 roll 0 3 1 roll
  /Variable exch def
  tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u,v)'=-(u',v')
/EvalListOfExpr {%
  4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe
           2 copy 7 -1 roll dup length 4 1 roll putinterval add
  6 -2 roll pop pop
  2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (-u)'=-(u')
/EvalUnaryOp {
  4 -2 roll 4 index (0) eq
  { (0) StrConcat 7 -1 roll pop }
  { 7 -1 roll 45 eq
    { AddSub AddOpPar true } { false } ifelse
    3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse
  2 copy pop 0 6 2 roll GetIntervalNewStr
  7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (number)'=0
/EvalNumber { ReadNumber (0) 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u+v)'=u'+v'
/EvalAddSub {%
  7 index dup (0) eq
  { pop true }%% du=0 nothing added
  { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false }
  ifelse
  5 index dup (0) eq
  { pop { (0) } { 4 -2 roll 2 copy pop 0  6 2 roll GetIntervalNewStr } ifelse }%%dv=0
  { exch
    { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added
    { 5 -2 roll 7 index 43 eq%%something yet added
      { AddAdd false } { AddSub AddOpPar true } ifelse }
    ifelse 11 1 roll
    3 -1 roll StrConcat 10 -1 roll { AddClPar } if
    2 copy pop 0 6 2 roll GetIntervalNewStr }
  ifelse
  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u*v)' or (u/v)'
/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u*v)'=u'*v+u*v'
/EvalMul {%
  4 -2 roll 7 index dup (0) eq
  { pop false }%%du=0
  { (1) eq%%du=1
    { false }
    { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
    3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if
    true }%%du!=0
  ifelse
  5 1 roll 5 index (0) eq
  { 5 -1 roll not { (0) StrConcat } if }%%dv=0
  { 5 -1 roll { AddAdd } if
    4 index (1) eq
    { 8 index StrConcat }
    { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
    ifelse
  }%%dv!=0
  ifelse
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u/v)'=(u'*v-u*v')/v^2
/EvalDiv {%
  4 -2 roll
  4 index (0) eq%%dv=0 -> u'/v
  { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse }
  { 7 index dup (0) eq
    { pop }%%du=0
    { (1) eq%%du=1
      { false }
      { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
      3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0
    ifelse
      AddSub
      4 index (1) eq
      { 8 index StrConcat }
      { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
      ifelse
    %}%%dv!=0
    2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar
    AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add }
  ifelse
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% str1 index str2 -> str1 index
/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def
/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
/EvalPower {%
  4 -2 roll 7 index (0) eq
  {%%if du=0 then (u^v)'=v'ln(u)u^v
    4 index (0) eq
    { (0) StrConcat }%%if dv=0 then (u^v)'=0
    { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if
      8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if
      AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse
  }
  {%%du!=0
    4 index (0) eq
    {%%if dv=0 then (u^v)'=vu'u^(v-1)
      5 index dup IsStrNumber
      { dup (0) eq
        { StrConcat }
        { dup dup (1) eq exch (1.0) eq or
          { StrConcat  }
	  { StrConcat
	    7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1
	    { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006
            (*\() StrConcat 8 index StrConcat (\)) StrConcat
            5 index  dup dup (2) eq exch (2.0) eq or
	    { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse }
      { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat
        5 index StrConcat (-1\)) StrConcat } ifelse
    }
    {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
      7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if
      AddOpPar 5 index StrConcat (\)*\() StrConcat
      8 index StrConcat (\)^\() StrConcat
      5 index StrConcat (-1\)+\() StrConcat
      4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if
      8 index StrConcat (\)^\() StrConcat
      5 index StrConcat (\)*ln\() StrConcat
      8 index StrConcat AddClPar
    } ifelse
  } ifelse
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% No derivative for factorial ! only cst => null derivative
/EvalFactorial {% DR 09/2011
  4 index (0) eq
  { (0) mark 8 -2 roll  cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll }
  { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% str -> true/false
/IsStrNumber {%
  true exch
  { dup 48 lt exch dup 57 gt 3 -1 roll or
    exch dup 46 ne%%.
    exch dup 43 ne%%+
    exch 45 ne%%-
    and and and { pop false } if } forall
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalLiteral {%
  ReadLiteral dup 40 eq%%% there is an open par -> function call
  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
  { dup 91 eq%%% there is an open bracket -> vector element
    { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented }
    { pop EvalVariable }
    ifelse }
  ifelse
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% first last parpos Expr[first:parpos-1] ->
/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% (f(u))'=u'f'(u)
/EvalFunc {
  4 2 roll 4 index (1) ne
  { AddOpPar 4 index StrConcat (\)*) StrConcat } if
  (Eval             ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Func derivative -> Eval<func>
/EvalFunc_sin {%
  PreCommonFunc
  { (cos\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_cos {%
  PreCommonFunc
  { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_tan {%
  PreCommonFunc
  {  dup 0 eq { (1) StrConcat } { 1 sub } ifelse  (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
  PostCommonFunc } def
/EvalFunc_asin {%
  PreCommonFunc
  { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_acos {%
  PreCommonFunc
  { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_atg {%
  PreCommonFunc
  { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_ln {%
  PreCommonFunc
  {  dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_exp {%
  PreCommonFunc
  {  (exp\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_EXP {%
  PreCommonFunc
  {  (EXP\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_sqrt {%
  PreCommonFunc
  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_Fact {%
  PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if
  PostCommonFunc } def
/EvalFunc_sh {%
  PreCommonFunc
  { (ch\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_ch {%
  PreCommonFunc
  { (sh\() StrConcat 5 index StrConcat AddClPar } if
  PostCommonFunc } def
/EvalFunc_th {%
  PreCommonFunc
  {  dup 0 eq { (1) StrConcat } { 1 sub } ifelse  (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
  PostCommonFunc } def
/EvalFunc_Argsh {%
  PreCommonFunc
  { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_Argch {%
  PreCommonFunc
  { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if
  PostCommonFunc } def
/EvalFunc_Argth {%
  PreCommonFunc
  { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
  PostCommonFunc } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/PreCommonFunc {
  1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop
  4 2 roll 4 index (0) eq
  { (0) StrConcat false }
  { 4 index (1)  ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse
} def
/PostCommonFunc {
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
/EvalFunc_Derive {%
  1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs
  4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add
  4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar
  2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval
  exch 6 2 roll } def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalFunc_Sum {%
  1 add NextNonBlankChar pop
  %% read the variable name
  ReadLiteral pop 3 -1 roll pop NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
  %% read the initial value
  1 add NextNonBlankChar pop ReadNumber pop
  2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
  %% read the increment value
  1 add NextNonBlankChar pop ReadNumber pop
  2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if
  %% read the limit value
  1 add NextNonBlankChar pop ReadNumber pop
  2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if
  1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop
  4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat
  4 index StrConcat AddClPar
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% literal switch -> func call, vector, variables
/EvalFunc_IfTE {%
  3 -1 roll pop 1 add NextNonBlankChar pop SkipCond
  NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
  1 add NextNonBlankChar pop dup 5 1 roll
  AnalyzeExpr NextNonBlankChar
  44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
  1 add NextNonBlankChar pop
  AnalyzeExpr 1 add NextNonBlankChar pop
  4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat
  6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar
  2 copy pop 0 6 2 roll GetIntervalNewStr
  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% advance in str until a comma is found (no error detection!)
%% str index -> str index'
/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Convert to radians if trigo function call
%% (name) ->
/TrigoFunc {
  dup (cos) eq 1 index (sin) eq or exch (tan) eq or
  { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
    array astore def
  } if
} def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% No derivative for condition....
/EvalCondOp { 3 -1 roll pop } bind def
/PutIntervalOneAdd {putinterval 1 add} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add close parenthesis in string at the given index
%% str index -> str index+1
/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add 0 in string at the given index
%% str index -> str index+1
/AddZero {2 copy (0) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddMul {2 copy (*) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add open parenthesis in string at the given index
%% str index -> str index+1
/AddDiv {2 copy (/) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a plus sign in string at the given index
%% str index -> str index+1
/AddAdd {2 copy (+) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a minus sign in string at the given index
%% str index -> str index+1
/AddSub {2 copy (-) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Add a pipe sign in string at the given index
%% str index -> str index+1
/AddPipe {2 copy (|) PutIntervalOneAdd} bind def
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% H O O K S
/AnalyzePreHook { dup 5 1 roll } bind def
/PreEvalHook {} def
/AnalyzePostHook { 7 -1 roll pop } bind def
/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def
/RollOp { 5 1 roll } bind def
end%%%tx@CoreAnalyzerDict
/tx@AddMathFunc 12 dict def tx@AddMathFunc begin
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% NEW FUNC
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2))
%% x -> theta
/asin {%
  dup abs 1 gt { EQDFasinrangeerror  } if
  dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad
} def
%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x)
%% x -> theta
/acos {%
  dup abs 1 gt { EQDFacosrangeerror  } if
  dup dup mul 1 exch sub sqrt exch atan DegtoRad
} def
%% function arctangent in radians
%% x -> theta
/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def
%% HYPERBOLIC FUNCTIONS
/sh { dup Ex exch neg Ex sub 2 div } def
/ch { dup Ex exch neg Ex add 2 div } def
/th { dup sh exch ch div } def
/Argsh { dup dup mul 1 add sqrt add ln } def
/Argch { dup dup mul 1 sub sqrt add ln } def
/Argth { dup 1 add exch 1 exch sub div ln 2 div } def
%% modified exponential funtion for 0
%% x n -> x^n
/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def
%% modified exponential funtion for 0
%% x -> e^x
/Ex { Euler exch exp } bind def
%%
%% factorial function
%% n -> n!
/Fact { 1 exch 2 exch 1 exch { mul } for } bind def
/fact { Fact } bind def
/! { Fact } bind def
end
%
% END pst-algparser.pro

%%EndProcSet
%%BeginProcSet: pst-tools.pro 0 0
% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $
%
%% PostScript tools prologue for pstricks.tex.
%% Version 0.02, 2012/01/01
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%
%
/Pi2 1.57079632679489661925640 def
/factorial { % n on stack, returns n! 
  dup 0 eq { 1 }{ 
    dup 1 gt { dup 1 sub factorial mul } if }
  ifelse } def 
%
/MoverN { % m n on stack, returns the binomial coefficient m over n
  2 dict begin
  /n exch def /m exch def
  n 0 eq { 1 }{
    m n eq { 1 }{
      m factorial n factorial m n sub factorial mul div } ifelse } ifelse 
  end
} def
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% subroutines for complex numbers, given as an array [a b] 
% which is a+bi = Real+i Imag
%
/cxadd {		% [a1 b1] [a2 b2] = [a1+a2 b1+b2]
  dup 0 get		% [a1 b1] [a2 b2] a2
  3 -1 roll		% [a2 b2] a2 [a1 b1]
  dup 0 get		% [a2 b2] a2 [a1 b1] a1
  3 -1 roll		% [a2 b2] [a1 b1] a1 a2
  add			% [a2 b2] [a1 b1] a1+a2
  3 1 roll		% a1+a2 [a2 b2] [a1 b1]
  1 get			% a1+a2 [a2 b2] b1
  exch 1 get		% a1+a2 b1 b2
  add 2 array astore
} def
%
/cxneg {		% [a b]
  dup 1 get		% [a b] b
  exch 0 get		% b a
  neg exch neg		% -a -b
  2 array astore
} def
%
/cxsub { cxneg cxadd } def  % same as negative addition
%
% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3]
/cxmul {		% [a1 b1] [a2 b2]
  dup 0 get		% [a1 b1] [a2 b2] a2
  exch 1 get		% [a1 b1] a2 b2
  3 -1 roll		% a2 b2 [a1 b1]
  dup 0 get		% a2 b2 [a1 b1] a1
  exch 1 get		% a2 b2 a1 b1
  dup			% a2 b2 a1 b1 b1
  5 -1 roll dup		% b2 a1 b1 b1 a2 a2
  3 1 roll mul		% b2 a1 b1 a2 b1a2
  5 -2 roll dup		% b1 a2 b1a2 b2 a1 a1
  3 -1 roll dup		% b1 a2 b1a2 a1 a1 b2 b2
  3 1 roll mul		% b1 a2 b1a2 a1 b2 a1b2
  4 -1 roll add		% b1 a2 a1 b2 b3
  4 2 roll mul		% b1 b2 b3 a1a2
  4 2 roll mul sub	% b3 a3
  exch 2 array astore
} def
%
% [a b]^2 = [a^2-b^2 2ab] = [a2 b2]
/cxsqr {		% [a b]   square root
  dup 0 get exch 1 get	% a b
  dup dup mul		% a b b^2
  3 -1 roll		% b b^2 a
  dup dup mul 		% b b^2 a a^2
  3 -1 roll sub		% b a a2
  3 1 roll mul 2 mul	% a2 b2	
  2 array astore
} def
%
/cxsqrt {		% [a b]
%  dup cxnorm sqrt /r exch def
%  cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 
  cxlog 		% log[a b]
  2 cxrdiv 		% log[a b]/2
  aload pop exch	% b a
  2.781 exch exp	% b exp(a)
  exch cxconv exch	% [Re +iIm] exp(a)
  cxrmul		%
} def
%
/cxarg { 		% [a b] 
  aload pop 		% a b
  exch atan 		% arctan b/a
  DegtoRad 		% arg(z)=atan(b/a)
} def
%
% log[a b] = [a^2-b^2 2ab] = [a2 b2]
/cxlog {		% [a b]
  dup 			% [a b][a b]
  cxnorm 		% [a b] |z|
  log 			% [a b] log|z|
  exch 			% log|z|[a b]
  cxarg 		% log|z| Theta
  cxmake2 		% [log|z| Theta]
} def
%
% square of magnitude of complex number
/cxnorm2 {		% [a b]
  dup 0 get exch 1 get	% a b
  dup mul			% a b^2
  exch dup mul add	% a^2+b^2
} def
%
/cxnorm {		% [a b]
  cxnorm2 sqrt
} def
%
/cxconj {		% conjugent complex
  dup 0 get exch 1 get	% a b
  neg 2 array astore	% [a -b]
} def
%
/cxre { 0 get } def	% real value
/cxim { 1 get } def	% imag value
%
% 1/[a b] = ([a -b]/(a^2+b^2)
/cxrecip {		% [a b]
  dup cxnorm2 exch	% n2 [a b]
  dup 0 get exch 1 get	% n2 a b
  3 -1 roll		% a b n2
  dup			% a b n2 n2
  4 -1 roll exch div	% b n2 a/n2
  3 1 roll div		% a/n2 b/n2
  neg 2 array astore
} def
%
/cxmake1 { 0 2 array astore } def % make a complex number, real given
/cxmake2 { 2 array astore } def	  % dito, both given
%
/cxdiv { cxrecip cxmul } def
%
% multiplikation by a real number
/cxrmul {		% [a b] r
  exch aload pop	% r a b
  3 -1 roll dup		% a b r r
  3 1 roll mul		% a r b*r
  3 1 roll mul		% b*r a*r
  exch 2 array astore   % [a*r b*r]
} def
%
% division by a real number
/cxrdiv {		% [a b] r
  1 exch div		% [a b] 1/r
  cxrmul
} def
%
% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian
/cxconv {		% theta
  RadtoDeg dup sin exch cos cxmake2
} def

%%%%% ### bubblesort ###
%% syntax : array bubblesort --> array2 trie par ordre croissant
%% code de Bill Casselman
%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
/bubblesort { % on stack must be an array [ ... ]
4 dict begin
   /a exch def
   /n a length 1 sub def
   n 0 gt {
      % at this point only the n+1 items in the bottom of a remain to
      % the sorted largest item in that blocks is to be moved up into
      % position n
      n {
         0 1 n 1 sub {
            /i exch def
            a i get a i 1 add get gt {
               % if a[i] > a[i+1] swap a[i] and a[i+1]
               a i 1 add
               a i get
               a i a i 1 add get
               % set new a[i] = old a[i+1]
               put
               % set new a[i+1] = old a[i]
               put
            } if
         } for
         /n n 1 sub def
      } repeat
   } if
   a % return the sorted array
end
} def
%
/concatstringarray{  %  [(a) (b) ... (z)] --> (ab...z)  20100422
  0 1 index { length add } forall 
  string     
  0 3 2 roll      
  { 3 copy putinterval length add }forall 
  pop  
} bind def
%
/dot2comma {% on stack a string (...) 
  2 dict begin
  /Output exch def
  0 1 Output length 1 sub { 
    /Index exch def 
    Output Index get 46 eq { Output Index 44 put } if 
  } for
  Output
  end
} def
%
%-----------------------------------------------------------------------------%
% END pst-tools.pro

%%EndProcSet
%%BeginProcSet: pst-dots.pro 0 0
% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $
%
%% PostScript prologue for pstricks.tex.
%% Version 2.02,  2009/06/16
%%
%% For distribution, see pstricks.tex.
%%
%% Timothy Van Zandt <tvz@Princeton.EDU>
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%%
%% Modified by Etienne Riga  - Dec. 16, 1999
%% Modified by Etienne Riga  - 2005/01/01 (er)
%% to add /Diamond, /SolidDiamond and /BoldDiamond
%% Modified by Herbert Voss (hv) - 2008/04/17 
%
10 dict dup begin			% hold local
  /FontType 3 def
  /FontMatrix [.001 0 0 .001 0 0] def
%  /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv
  /FontBBox [-1000 -1000 1000 1000] def  % See end of file in /BuildGlyph
  /Encoding 256 array def
  0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef
  Encoding				   % replace with given dot names
    dup (b) 0 get /Bullet put		   % get the numerical position of b in ASCII
%					   % and save /Bullet at this place in Encoding 
    dup (c) 0 get /Circle put
    dup (C) 0 get /BoldCircle put	% 67
    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 (f) 0 get /Octogon put		% 2008-04-18 hv
    dup (F) 0 get /BoldOctogon put	% 2008-04-18 hv
    dup (g) 0 get /SolidOctogon put	% 2008-04-18 hv
    dup (a) 0 get /Add put
    dup (A) 0 get /BoldAdd put 		% 65
    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
%					2008-04-18 hv
  /OctogonPath { 
     550 dup 22.5 tan mul dup neg dup add /xMove exch def 
     exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def 
  /SolidOctogon { OctogonPath fill                             } def
  /Octogon {      OctogonPath .89 .89 scale OctogonPath eofill } def
  /BoldOctogon {  OctogonPath .79 .79 scale OctogonPath 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
end
%
/BuildGlyph {
  exch
  begin 		
%  Metrics 1 index get exec 0
    0 0
%      BBoxes 3 index get exec
    -1000 -1000 1000 1000
%     -571.5 -742.5 571.5 742.5
    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

%%EndProcSet
%%BeginProcSet: pst-node.pro 0 0
% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $
%%
%% PostScript prologue for pst-node.tex.
%% Version 1.13, 2011/11/21.
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives
%% in directory macros/latex/base/lppl.txt.
%
/tx@NodeDict 400 dict def tx@NodeDict begin
tx@Dict begin 			% from main pstricks dict
 /T /translate load def 
 /CP /currentpoint load def 
end
/NewNode { % on stack: { x y } boolean N@name type InitXnode 
  gsave 
  NodeScale                     % a bugfix for xelatex, it's empty for dvips
  /next exch def 		% { x y } boolean N@name type  
  dict dup 			% { x y } boolean N@name dict dict
  3 1 roll def 			% { x y } boolean dict N@name dict def
  exch { dup 3 1 roll def } if  % { x y } dict boolean
  begin 			% { x y } dict begin
  tx@Dict begin 
    STV CP T exec 		% set scaling
  end 
  /NodeMtrx CM def 		% save CM
  next 				% InitXNode
  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 % second and first node
  /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 
  t floor dup n ge 		% to allow npos<= hv 2008-08-14
  { 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 {
LPutVar VPutLine } def LPutVar } def
%
/NCLine { 
  NCCoor 
  tx@Dict begin 
  ArrowA CP 4 2 roll 
  ArrowB 
  lineto pop pop
  end 
} def
%
/NCLines { 
  false NArray 
  n 0 eq 
    { NCLine } 
    { 2 copy yA sub exch xA sub Atan /AngleA ED 
      n 2 mul dup index exch index yB sub exch xB sub 
      Atan /AngleB ED 
      GetEdgeA GetEdgeB 
      /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def 
      mark LPutVar 
      tx@Dict begin false Line end 
      /LPutPos { LPutLines } def 
      /HPutPos { HPutLines } def 
      /VPutPos { VPutLines } def 
    } ifelse 
} def
%
/NCCurve { 
  GetEdgeA 
  GetEdgeB 
  xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1
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%
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  xA2 yA2 mtrx transform pop 
  xB2 yB2 mtrx transform exch pop 
  mtrx itransform 
  /y0 ED /x0 ED 
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%
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  GetEdgeA GetEdgeB GetArmB 
  /mtrx AngleA matrix rotate def 
  xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
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  xB2 yB2 x0 y0 xA1 yA1
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  /VPutPos { VPutLines } def 
} def
%
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  GetEdgeA GetEdgeB GetArmA GetArmB 
  /mtrx AngleA matrix rotate def
  xA2 yA2 mtrx itransform pop 
  xB2 yB2 mtrx itransform pop 
  sub dup 0 mtrx transform 
  3 -1 roll 0 gt 
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  mark 
  ArmB 0 ne { xB1 yB1 } if 
  xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if 
  tx@Dict begin false Line end 
  /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def 
  /LPutPos { LPutLines } def 
  /HPutPos { HPutLines } def 
  /VPutPos { VPutLines } def 
} def
%
/NCDiag { 
  /lineAngle ED
  GetEdgeA GetEdgeB GetArmA GetArmB mark
  lineAngle abs 0 gt {
    /xTemp xA2 10 add def
    /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def
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    /dX1 xTemp xA2 sub def
    /dY2 yB2 yB1 sub def
    /dX2 xB2 xB1 sub def
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        /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
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  ArmB 0 ne { xB1 yB1 } if
  xB2 yB2 xA2 yA2 
  ArmA 0 ne { xA1 yA1 } if 
  tx@Dict begin false Line end
  /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def 
  /LPutPos { LPutLines } def 
  /HPutPos { HPutLines } def 
  /VPutPos { VPutLines } def 
%
%  GetEdgeA GetEdgeB GetArmA GetArmB mark 
%  ArmB 0 ne { xB1 yB1 } if
%  xB2 yB2 xA2 yA2 
%  ArmA 0 ne { xA1 yA1 } if 
%  tx@Dict begin false Line end
%  /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def 
%  /LPutPos { LPutLines } def 
%  /HPutPos { HPutLines } def 
%  /VPutPos { VPutLines } def 
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%
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  GetEdgeA GetArmA 
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    { lineAngle }
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  GetEdgeB mark
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  xB1 yB1 xA2 yA2
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%
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%  yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
%  GetEdgeB 
%  mark 
%  xB1 yB1 xA2 yA2 
%  ArmA 0 ne { xA1 yA1 } if 
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%  /VPutPos { VPutLines } def 
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%
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  /mtrx AngleA matrix rotate def 
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%
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%
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  atan 2 mul /a ED 
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    3 -1 roll add 
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% DG/SR modification end
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  /HPutPos { LPutPos } def 
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  /angleB ED /angleA ED /r ED 
  /c 57.2957 r Div def 
  /y ED /x ED 
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%
/NCBox { 
  /d ED /h ED 
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  GetEdgeA GetEdgeB 
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  /LPutVar [ 
    xA1 hx add yA1 hy add xB1 hx add yB1 hy add 
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} def
%
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  /c 57.2958 r div def 
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  l 0 eq { 
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    AngleB PtoC 2 copy 
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%
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w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
%
/LPutCoor { 
  NAngle 
  tx@Dict begin /NAngle ED end 
  gsave 
  CM STV 
  CP Y sub neg exch X sub neg exch moveto 
  setmatrix CP 
  grestore 
} def
%
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  tx@NodeDict /LPutPos known 
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%
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} def
%
/VPutAdjust { 
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%
%
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/Circumflex % ?
/Tilde % ?
/Dieresis
/Hungarumlaut
/Ring % ?
/Caron
/Breve % ?
/Macron
/Dotaccent % ?
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% 0x10
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/tieaccentcapital % ?
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% 0x20
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% 0x30
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% 0x40
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% 0x60
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% 0x80
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% 0x90
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/uni203D
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/uni0E3F
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% 0xA0
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% 0xB0
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known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC
/Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC
/Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0
setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0
setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61
0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC
/Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0
setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87
0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{
0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{
0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC
/Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0
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
0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC
/Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0
setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0
0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{
0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{
0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC
/BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0
setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC
/CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0
0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1
0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11
0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0
setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0
0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC
/Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0
setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0
0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0
1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC
/PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0
setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{
0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor}
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: SFRM1000
%!FontType1-1.0: SFRM1000 0.3
%%CreationDate: Wed Sep 12 2001
% Copyright (c) 2001 Vladimir Volovich <vvv@vsu.ru>.
% See the file COPYING (GNU General Public License) for license conditions.
% Converted from METAFONT EC/TC and LH fonts:
% ecrm1000, tcrm1000, larm1000, lbrm1000, lcrm1000, rxrm1000.
11 dict begin
/FontInfo 6 dict dup begin
/version (0.3) def
/FullName (Computer Modern Roman) def
/FamilyName (Computer Modern) def
/ItalicAngle 0 def
/isFixedPitch false def
/Weight (Medium) def
end readonly def
/FontName /SFRM1000 def
/Encoding StandardEncoding def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] def
/FontBBox{-189 -321 1456 937}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.0: CMTI10 003.002
%%Title: CMTI10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTI10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMTI10 known{/CMTI10 findfont dup/UniqueID known{dup
/UniqueID get 5000828 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMTI10 def
/FontBBox {-35 -250 1124 750 }readonly def
/UniqueID 5000828 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMTI10.) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 37 /percent put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.0: CMSY10 003.002
%%Title: CMSY10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSY10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMSY10 known{/CMSY10 findfont dup/UniqueID known{dup
/UniqueID get 5096651 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMSY10 def
/FontBBox {-29 -960 1116 775 }readonly def
/UniqueID 5096651 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSY10.) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 102 /braceleft put
dup 103 /braceright put
dup 110 /backslash put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMR5
%!PS-AdobeFont-1.0: CMR5 003.002
%%Title: CMR5
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR5.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR5 known{/CMR5 findfont dup/UniqueID known{dup
/UniqueID get 5000788 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR5 def
/FontBBox {-10 -250 1304 750 }readonly def
/UniqueID 5000788 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR5.) readonly def
/FullName (CMR5) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: SkakNew-Figurine-Bold
%!PS-AdobeFont-1.0: SkakNew-Figurine-Bold 001.002
%%CreationDate: Thu Feb 12 14:57:56 2009
%%VMusage: 120000 150000
11 dict begin
/FontInfo 15 dict dup begin
/version (001.002) readonly def
/Notice (Copyright (c) Ulrich Dirr 2004, former designs by Piet Tutelaers, Torben Hoffmann, Dirk Bächle. All rights reserved.) readonly def
/FullName (SkakNew-Figurine Bold) readonly def
/FamilyName (SkakNew-Figurine) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Bold) readonly def
end readonly def
/FontName /SkakNew-Figurine-Bold def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 43 /plus put
dup 66 /B put
dup 75 /K put
dup 81 /Q put
dup 82 /R put
dup 88 /X put
readonly def
/PaintType 0 def
/FontType 1 def
/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
/FontBBox {0 -158 1430 846} readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.0: CMBX10 003.002
%%Title: CMBX10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMBX10 known{/CMBX10 findfont dup/UniqueID known{dup
/UniqueID get 5000768 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMBX10 def
/FontBBox {-56 -250 1164 750 }readonly def
/UniqueID 5000768 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX10.) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 103 /g put
readonly def
currentdict end
currentfile eexec
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{restore}if
%%EndFont 
%%BeginFont: SkakNew-Figurine
%!PS-AdobeFont-1.0: SkakNew-Figurine 001.003
%%CreationDate: Mon Feb 02 15:14:46 2009
%%VMusage: 120000 150000
11 dict begin
/FontInfo 15 dict dup begin
/version (001.003) readonly def
/Notice (Copyright (c) Ulrich Dirr 2003, former designs by Piet Tutelaers, Torben Hoffmann, Dirk Bächle. All rights reserved.) readonly def
/FullName (SkakNew-Figurine) readonly def
/FamilyName (SkakNew-Figurine) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Regular) readonly def
end readonly def
/FontName /SkakNew-Figurine def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 43 /plus put
dup 66 /B put
dup 75 /K put
dup 81 /Q put
dup 82 /R put
dup 88 /X put
readonly def
/PaintType 0 def
/FontType 1 def
/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
/FontBBox {0 -114 1241 842} readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.0: CMR10 003.002
%%Title: CMR10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup
/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR10 def
/FontBBox {-40 -250 1009 750 }readonly def
/UniqueID 5000793 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 33 /exclam put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 61 /equal put
dup 66 /B put
dup 70 /F put
dup 75 /K put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 84 /T put
dup 87 /W put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 123 /endash put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: SkakNew-Diagram
%!PS-AdobeFont-1.0: SkakNew-Diagram 1.004
%%CreationDate: Mon Feb 02 09:31:47 2009
%%VMusage: 120000 150000
11 dict begin
/FontInfo 15 dict dup begin
/version (1.004) readonly def
/Notice (Copyright (c) Ulrich Dirr 2004-2009, former designs by Piet Tutelaers, Torben Hoffmann, Dirk Bächle. All rights reserved.) readonly def
/FullName (SkakNew-Diagram) readonly def
/FamilyName (SkakNew-Diagram) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Regular) readonly def
end readonly def
/FontName /SkakNew-Diagram def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 75 /K put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 83 /S put
dup 90 /Z put
dup 97 /a put
dup 106 /j put
dup 108 /l put
dup 111 /o put
dup 112 /p put
dup 114 /r put
readonly def
/PaintType 0 def
/FontType 1 def
/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
/FontBBox {-8 0 1008 1000} readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSS10
%!PS-AdobeFont-1.0: CMSS10 003.002
%%Title: CMSS10
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSS10.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMSS10 known{/CMSS10 findfont dup/UniqueID known{dup
/UniqueID get 5000803 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMSS10 def
/FontBBox {-61 -250 999 759 }readonly def
/UniqueID 5000803 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSS10.) readonly def
/FullName (CMSS10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
readonly def
currentdict end
currentfile eexec
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cleartomark
{restore}if
%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.0: CMR12 003.002
%%Title: CMR12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR12 known{/CMR12 findfont dup/UniqueID known{dup
/UniqueID get 5000794 eq exch/FontType get 1 eq and}{pop false}ifelse
{save true}{false}ifelse}{false}ifelse
11 dict begin
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
/FontName /CMR12 def
/FontBBox {-34 -251 988 750 }readonly def
/UniqueID 5000794 def
/PaintType 0 def
/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR12.) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 44 /comma put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 56 /eight put
dup 72 /H put
dup 74 /J put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 101 /e put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 117 /u put
dup 121 /y put
readonly def
currentdict end
currentfile eexec
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%%Title: CMTT12
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTT12.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
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%%EndFont 
%%BeginFont: CMR17
%!PS-AdobeFont-1.0: CMR17 003.002
%%Title: CMR17
%Version: 003.002
%%CreationDate: Mon Jul 13 16:17:00 2009
%%Creator: David M. Jones
%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR17.
% This Font Software is licensed under the SIL Open Font License, Version 1.1.
% This license is in the accompanying file OFL.txt, and is also
% available with a FAQ at: http://scripts.sil.org/OFL.
%%EndComments
FontDirectory/CMR17 known{/CMR17 findfont dup/UniqueID known{dup
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/FontInfo 9 dict dup begin
/version (003.002) readonly def
/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR17.) readonly def
/FullName (CMR17) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
end readonly def
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(Righ)n(t)f(is)32 b Fc(n)5 b Fh(v)-5 b(ariation)5 b Fc(f)p
Fh(29.)37 b(cxb4)27 b(Qxb4)p Fc(g)2079 1436 y Fh(\()9
b(if)2033 1535 y Fd(5)18 b Fc(n)r Fh(con)n(tin)n(uev)-5
b(ariation)16 b Fc(f)p Fh(29...)52 b(axb)o(4)27 b(30.)i(a)r(3!)40
b(b)n(xa)o(3)28 b(31.)i(b)n(xa3)d(Qxa)o(3)p Fc(g)2033
1635 y Fd(6)18 b Fh(dra)n(ws)n(\))2033 1735 y Fd(7)g
Fc(n)o Fh(restoregame)n Fc(f)o Fh(mainline)p Fc(g)27
b(n)p Fh(hidemo)n(v)n(es)o Fc(f)p Fh(29.)f(cxb4)h(Qxb)o(4)p
Fc(g)2033 1834 y Fd(8)18 b Fc(n)5 b Fh(v)-5 b(ariationcurren)n(t)5
b Fc(f)p Fh(30.)36 b(Qf3+)27 b(Kg)o(7)g(31.)g(Qe2)p Fc(g)f
Fh(dra)n(ws)o(,)2033 1934 y Fd(9)d Fh(since)43 b(Blac)n(k)26
b(can')q(t)42 b(p)r(ossibly)f(build)e(up)28 b(a)g(winning)f(K)p
Fc(\000)o Fh(side)2006 2034 y Fd(10)17 b Fh(attac)n(k)34
b(and)27 b(his)36 b(o)n(wn)27 b(king)g(is)38 b(to)f(exp)r(osed.)2006
2133 y Fd(11)2005 2233 y(12)18 b Fc(n)o Fh(restoregame)n
Fc(f)o Fh(mainline)p Fc(g)27 b(n)p Fh(hidemo)n(v)n(es)o
Fc(f)p Fh(29.)f(Qc)o(8+)p Fc(g)2006 2332 y Fd(13)2005
2432 y(14)18 b Fc(n)o Fh(mainline)8 b Fc(f)p Fh(29...)f(Kg)o(7)27
b(30.)g(Qc)o(4)h(Bd8)f(31.)f(cxb4)i(axb)o(4)p Fc(g)2006
2532 y Fd(15)17 b Fh(On)27 b Fc(n)o Fh(v)-5 b(ariation)7
b Fc(f)p Fh(31...)44 b(Qxb)o(4)27 b(32.)g(Qe2)p Fc(g)2006
2631 y Fd(16)17 b Fh(White)28 b(should)f(dra)n(w)g(with)h(b)r(est)g
(pla)n(y)o(.)2006 2731 y Fd(17)17 b Fa($$)p Fc(n)n Fh(sho)n(wb)r(oard)n
Fa($$)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray
0 TeXcolorgray 1892 5919 a Fh(2)p 0 TeXcolorgray eop
end
%%Trailer

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