skak (22jan14)

git-svn-id: svn://tug.org/texlive/trunk@32758 c570f23f-e606-0410-a88d-b1316a301751

17 files changed, 33792 insertions, 1230 deletions

diff --git a/Master/texmf-dist/doc/latex/skak/README b/Master/texmf-dist/doc/latex/skak/ChangeLog.md
index 2df74502f6e..8f04fc5456d 100644
--- a/Master/texmf-dist/doc/latex/skak/README
+++ b/Master/texmf-dist/doc/latex/skak/ChangeLog.md
@@ -1,6 +1,33 @@
+Version 1.5.2
+-------------
+
+* Removed lambda.sty from the skak distribution.
+
+Version 1.5.1
+-------------
+
+* Created repo at github.com/lehoff/skak for all furture work on skak.
+
+* Fixed a bug with longmoves for Kings where the from square was not
+  correct due to a problem in DoTheMove. Thanks to Ulirch Dirr and
+  Niels Stargardt for finding this bug.
+
+* Fixed a bug on \lastmove when using \styleC. Thanks to Ulrich Dirr
+  to come up with a rough solution that I have improved to take into
+  account if styleC is being used or not.
+
+* Added a ChangeLog.md file and removed the duplicate change history
+  from tex/skak.sty
+
+* Moved things from readme.txt into README.md and removed the change
+  history from that.
+
+* Added a LICENSE file.
+
+* Added a THANKS file and removed the acknowledgements from
+  skakdoc.tex.
+
 
-Change History
-==============
 
 Version 1.5
 -----------
diff --git a/Master/texmf-dist/doc/latex/skak/LICENSE b/Master/texmf-dist/doc/latex/skak/LICENSE
new file mode 100644
index 00000000000..22443139013
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/LICENSE
@@ -0,0 +1,416 @@
+The LaTeX Project Public License
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diff --git a/Master/texmf-dist/doc/latex/skak/README.md b/Master/texmf-dist/doc/latex/skak/README.md
new file mode 100644
index 00000000000..88398e19a1f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/README.md
@@ -0,0 +1,56 @@
+skak
+====
+
+This is a package for typesetting chess (skak in Danish) games in
+LaTeX.
+
+The basic idea is to allow the author to write about chess games using
+normal chess notation, have that typeset nicely and then show the
+position when desired. skak has an internal chess board so it is never
+out of sync with the moves described in the text.
+
+For more on the usage see the skakdoc.pdf file.
+
+
+Future Additions/Wish-list
+==========================
+ 
+Choosing Language for mainline
+------------------------------ 
+(Proposal date: mid 2002.) 
+
+It would be nice if one could choose the language for the mainline,
+variation and \hidemoves for each invocation as it allows for easier
+inclusion of analysis from chess programs when using a non-english
+language.
+ 
+ 
+Optimisation of the Implementation
+----------------------------------
+(Proposal date: 2-Jan-2003.) 
+
+I would like to improve some areas of the im-
+plementation since they are unnecessary slow
+and/or complicated, e.g., \IsPieceName could
+easily be implemented as a case statement in-
+stead of a list look-up. I have a strong feeling
+that this would be a lot faster than the current
+implementation which has a very functional pro-
+gramming flavour --- this was very helpful during
+the development, but it has a tendency to be a
+bit inefficient. 
+
+
+Test Suite
+----------
+(Proposal date: 03-Jan-2003.) 
+It would be a very good idea to create a test
+suite created using normal testing techniques.
+Areas of test should include:
+ 
+* resolving ambiguous moves, i.e., ensuring 
+that moves like Rad1 moves the right rook.
+ 
+* all legal SAN moves are accepted.
+
+
diff --git a/Master/texmf-dist/doc/latex/skak/THANKS b/Master/texmf-dist/doc/latex/skak/THANKS
new file mode 100644
index 00000000000..ea8e3229ce8
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/THANKS
@@ -0,0 +1,22 @@
+I would like to thank the creator of the lambda package,
+Alan Jeffrey, for making a splendid package that made this package
+possible.
+
+For discussions and alpha-testing I send my thanks to Guido
+Governatori - some of his ideas have already been implemented; the
+rest? Time will show.
+
+Thanks to Harri Haanpaa for finding a nasty bug in the castling
+routine.
+
+A big thank goes to Dirk Bächle for adding the Informator symbols to
+the fonts and for removing a couple of nasty bugs as well as improving
+some of the commands.
+
+I thank Ulrike Fischer for the tremendous work she has done with
+regards to improving the way fonts are handled by the skak package,
+not to mention the significant amount of bugs she has found and in
+many cases fixed.
+
+Thanks for reporting various bugs goes to Ingo Sander, Andreas Wilm,
+Ulrich Dirr and Niels Stargardt.
diff --git a/Master/texmf-dist/doc/latex/skak/informator.pdf b/Master/texmf-dist/doc/latex/skak/informator.pdf
deleted file mode 100644
index cb46461d130..00000000000
--- a/Master/texmf-dist/doc/latex/skak/informator.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/skak/informator.ps b/Master/texmf-dist/doc/latex/skak/informator.ps
new file mode 100644
index 00000000000..cf693fb86db
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/informator.ps
@@ -0,0 +1,5639 @@
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+%%CreationDate: Thu Jul 18 23:26:38 2013
+%%Pages: 1
+%%PageOrder: Ascend
+%%BoundingBox: 0 0 596 842
+%%DocumentFonts: CMR17 CMTT12 CMR12 CMR10 CMSY10 CMSSBX10
+%%+ SkakNew-Figurine CMSS10
+%%DocumentPaperSizes: a4
+%%EndComments
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+/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3
+def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90
+rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0
+N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop
+false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A
+length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}
+forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{
+BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat
+{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch
+round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0
+rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B
+/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}
+B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p
+-3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{
+0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
+
+%%EndProcSet
+%%BeginProcSet: pstricks.pro 0 0
+% $Id: pstricks.pro 647 2012-02-12 15:03:40Z herbert $
+%
+%% PostScript prologue for pstricks.tex.
+%% Version 1.12, 2012/02/12
+%%
+%% 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.
+%
+%
+% Define the follwing gs-functions if not known, eg when using distiller
+%
+systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if
+systemdict /.setblendmode known not {/.setblendmode { pop } def } if
+systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
+%
+/tx@Dict 200 dict def 				% the main PSTricks dictionary
+tx@Dict begin
+/ADict 25 dict def				% The arrow dictionaray
+/CM { matrix currentmatrix } bind def
+/SLW /setlinewidth load def
+/CLW /currentlinewidth load def
+/CP /currentpoint load def
+/ED { exch def } bind def
+/L /lineto load def
+/T /translate load def
+/TMatrix { } def
+/RAngle { 0 } def
+/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def  % return 0 for negative arguments 
+/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
+/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
+/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
+/tan { dup cos abs 1.e-10 lt 
+  { pop 1.e10 } 				% return 1.e10 as infinit
+  { dup sin exch cos div } ifelse 		% default sin/cos
+} def
+/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
+/Acos {dup dup mul neg 1 add dup 0 lt {		% arc cos, returns 0 when negative root
+  pop pop 0 }{ sqrt exch atan} ifelse } def
+/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
+/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, expects 2 parameter
+/Pyth2 {					% Pythagoras, xA yA xB yB
+  3 -1 roll 		% xA xB yB yA
+  sub			% xA xB yB-yA
+  3 1 roll 		% yB-yA xA xB
+  sub			% yB-yA xA-xB
+  Pyth } def
+/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
+/Rand { rand 4294967295 div } def		% a real random number
+%----------------- hv added 20050516 ---------------
+/PiDiv2 1.57079632680 def
+/Pi 3.14159265359 def 
+/TwoPi 6.28318530718 def
+/Euler 2.71828182846 def 
+%/e Euler bind def
+%
+/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
+/DegtoRad { Pi mul 180 div } bind def 		% viceversa
+%----------------- hv end---------------------------
+/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
+%
+/PathLength { 
+  flattenpath /z 0 def 
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
+  { /y ED /x ED PathLength@ } 
+  {} 
+  { /y y2 def /x x2 def PathLength@ }
+  /pathforall load stopped { pop pop pop pop } if 
+  z 
+} def
+%
+/STP { .996264 dup scale } def			% BP/PT scaling
+/STV { SDict begin normalscale end STP  } def	% 
+%
+/DashLine {
+    dup 0 gt
+    { /a .5 def PathLength exch div }
+    { pop /a 1 def PathLength } ifelse
+    /b ED % pattern should fit evenly in b
+    dup /X ED % pattern array
+    0 get /y ED % length of first black segment
+    /z 0 X {add} forall def % length of the full pattern
+    %% Computation of the scaling factor as described by van Zandt:
+    b a .5 sub 2 mul y mul sub z Div round
+    z mul a .5 sub 2 mul y mul add b exch Div
+    %%%% scaling factor on stack.
+    /z ED %% now, z is the scaling factor
+    false % for the length test below
+    X { z mul } forall X astore %% modification TN 04-08-07
+    %%% Checking whether at least one dash in X has positive length:
+    {0 gt or} forall
+    { X 1 a sub y mul }
+    { [ 1 0 ] 0 }
+    ifelse
+    setdash stroke
+} def
+%
+/DotLine { 
+  /b PathLength def 
+  /a ED /z ED /y CLW def 
+  /z y z add def 
+  a 0 gt { 
+    /b b a div def 
+  }{ 
+    a 0 eq { 
+      /b b y sub def 
+    }{ a -3 eq { 
+      /b b y add def } if 
+    } ifelse 
+  } ifelse 
+  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
+  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
+  setdash 1 setlinecap stroke 
+} def
+%
+/SymbolLine {   % on stack [ x y x y ...
+  counttomark 					% number of elements
+  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
+
+    %% for negative SymStep we calculate the distance 
+    SymStep 0 lt 
+      { %XYLength SymStep div abs cvi 
+        /nSym SymStep abs cvi def } 
+      { /nSym XYLength SymStep div cvi def }
+    ifelse
+    0.5 setflat
+    /Shift Symbol stringwidth pop 2 div def 
+    /deltaX XLength nSym div def
+    /deltaY YLength nSym div def
+    curveticks 
+      { XA YA moveto }
+      { XA Shift sub YA Shift sub moveto }
+    ifelse 
+    nSym { 
+      gsave 
+      curveticks 
+        { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+          currentpoint translate rotAngle rotate 
+          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+          SymbolLinewidth setlinewidth stroke
+        }
+        { 
+          rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+          Symbol show 
+        }
+      ifelse 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+    /YA YB def /XA XB def
+  } repeat 
+  curveticks 
+    { XA YA moveto }
+    { XA Shift sub YA Shift sub moveto }
+  ifelse 
+  gsave 
+  curveticks 
+    { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+      XA YA translate rotAngle rotate 
+      0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+      SymbolLinewidth setlinewidth stroke
+    }
+    { 
+      rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+    }
+  ifelse 
+  grestore
+  pop 				% delete the mark symbol
+} def
+%
+/LineFill { % hv ------------ patch 7 -------------
+  gsave 
+  abs /hatchWidthInc ED
+  abs /hatchSepInc ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  2 setlinecap 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  x2 x1 sub 1 add { 
+    x1 a mul y1 moveto 0 y2 rlineto stroke 
+    /x1 x1 1 add 
+      hatchWidthInc 0 gt { CLW add } if 
+    def 
+    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
+      /a a hatchSepInc add def
+      CLW hatchWidthInc add SLW 
+    } if
+  } repeat 
+  grestore 
+  pop pop } def
+%
+/DotFill {%	 on stack: dot radius
+  /dotRadius ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform 
+  pathbbox % llx lly urx ury of smallest bounding box
+  /y2 ED /x2 ED /y1 ED /x1 ED 
+  y2 y1 sub a div 2 add cvi /Ny ED
+  x2 x1 sub a div 2 add cvi /Nx ED
+  clip 
+  newpath 
+  /yA y1 dotRadius add CLW add def
+  /xA0 x1 dotRadius add CLW add def
+  Ny {
+     /xA xA0 def
+     Nx { 
+       newpath 
+       xA yA dotRadius 0 360 arc 
+       SolidDot { gsave fill grestore } if 
+       stroke
+       xA a add /xA ED
+     } repeat
+     yA a add /yA ED
+  } repeat
+  grestore
+} def
+%
+/PenroseFill {%	 on stack: scaling factor
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
+ { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
+  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
+  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
+  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
+  grestore 
+  pop pop 
+} def
+%
+/TruchetFill { %	 on stack: scaling factor
+  10 dict begin
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /ma a neg def
+  /ha a 2 div def 
+  /mha ha neg def
+  /tile { 
+    rand dup 2 idiv 2 mul eq { 90 rotate } if
+    mha mha moveto ha mha lineto
+    ha ha lineto mha ha lineto
+%    closepath .1 setlinewidth stroke
+    contents
+  } def
+  /contents{ 
+    0 ha moveto ha 0 lineto
+    0 mha moveto mha 0 lineto
+%    1 setlinewidth stroke
+  } def
+  /dotiling {
+    f ma mul a f a mul { 
+      /i exch def
+      f ma mul a f a mul { 
+        /j exch def
+        gsave i j translate
+        tile stroke grestore
+      } for
+    } for
+  } def
+%
+  /f 3 def 
+  5 srand dotiling 
+  end % local user dict
+} def
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
+  gsave 
+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow { 
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /a ED 
+  { 0 h T 1 -1 scale } if 
+  w neg h moveto 
+  0 0 L w h L w neg a neg rlineto 
+  gsave fill grestore 
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
+  { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% 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 >
+  w 9 div        h 3 div  
+  w 9 div 4 mul  h 3 div 2 mul
+  w h curveto % upper left of >
+  w neg Inset neg rlineto % move to x=0 and inset
+  gsave fill grestore 
+} def 
+%
+/Tbar { 
+  CLW mul add /z ED 
+  z -2 div CLW 2 div moveto 
+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
+  CLW mul add dup CLW sub 2 div 
+  /x ED mul CLW add /y ED /z CLW 2 div def 
+  x neg y moveto 
+  x neg CLW 2 div L x CLW 2 div L x y L stroke 
+  0 CLW moveto 
+} def
+%
+/RoundBracket { 
+  CLW mul add dup 2 div 
+  /x ED mul /y ED /mtrx CM def 
+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
+  1 1 moveto 
+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
+  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
+  /b ED 				% the color definition
+  0 z DS SD 
+  b { 0 z DS CLW sub SD } if 
+  0 DS z add CLW 4 div sub 
+  moveto 
+} def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+  load } if ] cvx newpath 3 1 roll T exec } def
+%
+/NArray { % 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 
+} def
+%
+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
+} def
+%
+/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
+  and { pop pop /n n 1 sub def } if 
+} def
+%
+/Polygon { 
+  NArray n 2 eq { 0 0 /n 3 def } if 
+  n 3 lt 
+    { n { pop pop } repeat } 
+    { n 3 gt { CheckClosed } if 
+      n 2 mul -2 roll 
+      /y0 ED /x0 ED /y1 ED /x1 ED  
+      x1 y1 
+      /x1 x0 x1 add 2 div def 
+      /y1 y0 y1 add 2 div def 
+      x1 y1 moveto 
+      /n n 2 sub def 
+      n { Lineto } repeat 
+      x1 y1 x0 y0 6 4 roll Lineto
+      Lineto pop pop closepath } ifelse 
+} def
+%
+/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
+    /nSym XYLength SymStep Div cvi def
+    /Shift Symbol stringwidth pop 2 Div def 
+    /deltaX XLength nSym Div def
+    /deltaY YLength nSym Div def
+    XA Shift sub YA Shift sub moveto 
+    nSym { 
+      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+%    XB Shift sub YB Shift sub moveto Symbol show
+    /YA YB def /XA XB def
+  } repeat 
+  pop	% delete the mark symbol
+} def
+%
+/Diamond { 
+  /mtrx CM def 
+  T rotate 
+  /h ED 
+  /w ED 
+  dup 0 eq { pop } { CLW mul neg 
+    /d ED 
+    /a w h Atan def 
+    /h d a sin Div h add def 
+    /w d a cos Div w add def } ifelse 
+  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
+  closepath mtrx setmatrix } def
+%
+/Triangle { 
+  /mtrx CM def 
+  translate 
+  rotate /h ED 2 div /w ED 
+  dup CLW mul /d ED 
+  /h h d w h Atan sin Div sub def 
+  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
+  mark 
+  0 d w neg d 0 h w d 0 d 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false 
+  Line 
+  closepath 
+  mtrx
+% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+  setmatrix pop 
+} def
+% DG/SR modification end
+%
+/CCA { 
+  /y ED /x ED 
+  2 copy y sub /dy1 ED 
+  x sub /dx1 ED 
+  /l1 dx1 dy1 Pyth def 
+} def
+%
+/CC { 
+  /l0 l1 def 
+  /x1 x dx sub def 
+  /y1 y dy sub def 
+  /dx0 dx1 def 
+  /dy0 dy1 def 
+  CCA 
+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
+  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
+  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
+  /x2 x l0 dx mul m mul sub def
+  /y2 y l0 dy mul m mul sub def 
+  /dx l1 dx mul m mul neg def 
+  /dy l1 dy mul m mul neg def 
+} def
+%
+/IC { 
+  /c c 1 add def 
+  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
+  /a a 2 mul 3 div 45 cos b exp div def 
+  CCA 
+  /dx 0 def 
+  /dy 0 def 
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
+} def
+%
+/CurvePath { 
+  %% for negative SymStep we calculate the distance 
+  SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
+  0.5 setflat
+  flattenpath /z 0 def /z0 0 def
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def 
+    x1 Shift sub y1 Shift sub moveto 
+    gsave 
+    curveticks 
+      { x1 y1 translate startAngle rotate 
+        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+        SymbolLinewidth setlinewidth stroke      
+      }
+      { startAngle rotate Symbol show }
+    ifelse 
+    grestore /z0 z def }
+  { /y ED /x ED PathLength@ z z0 sub SymStep ge {
+      x Shift sub y Shift sub moveto 
+      gsave 
+      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 
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+/Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0
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+/Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0
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+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{
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+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
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+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: 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 78 /N put
+dup 82 /R put
+readonly def
+currentdict end
+currentfile eexec
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+%%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 65 /A put
+dup 67 /C put
+dup 68 /D put
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+readonly def
+/PaintType 0 def
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+/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
+/FontBBox {0 -114 1241 842} readonly def
+currentdict end
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+%!PS-AdobeFont-1.0: CMSSBX10 003.002
+%%Title: CMSSBX10
+%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 CMSSBX10.
+% 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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+/FontName /CMSSBX10 def
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+/version (003.002) readonly def
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+/FamilyName (Computer Modern) readonly def
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+%%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
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+/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
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+/UnderlineThickness 50 def
+end readonly def
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+%%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
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+dup 46 /period put
+dup 49 /one put
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+readonly def
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+%%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
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+/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
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+end readonly def
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+%%EndFont 
+%%BeginFont: CMTT12
+%!PS-AdobeFont-1.0: CMTT12 003.002
+%%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
+FontDirectory/CMTT12 known{/CMTT12 findfont dup/UniqueID known{dup
+/UniqueID get 5000833 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 /CMTT12 def
+/FontBBox {-1 -234 524 695 }readonly def
+/UniqueID 5000833 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 CMTT12.) readonly def
+/FullName (CMTT12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle 0 def
+/isFixedPitch true def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 97 /a put
+dup 107 /k put
+dup 115 /s put
+readonly def
+currentdict end
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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
+/UniqueID get 5000795 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 /CMR17 def
+/FontBBox {-33 -250 945 749 }readonly def
+/UniqueID 5000795 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 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
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 65 /A put
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+readonly def
+currentdict end
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diff --git a/Master/texmf-dist/doc/latex/skak/lambda.tex b/Master/texmf-dist/doc/latex/skak/lambda.tex
deleted file mode 100644
index 5285e9a5104..00000000000
--- a/Master/texmf-dist/doc/latex/skak/lambda.tex
+++ /dev/null
@@ -1,1146 +0,0 @@
-% Filename: Lambda.tex
-% Author: Alan Jeffrey
-% Last modified: 11 May 1990
-%
-% Copyright (c) 1990 Alan Jeffrey.  Permission is granted to Tugboat
-% to publish any or all of this.
-%
-% A keyboard check:
-%
-%     @ # $ % ^ & * ~   at hash dollar percent caret ampersand asterisk tilde
-%     : ; , .           colon semicolon comma period 
-%     ? !               question-mark exclamation-mark
-%     " ' `             double-quote apostrophe back-quote
-%     ( ) { } [ ]       parentheses braces square-brackets 
-%     - + = / \         minus plus equals forward-slash backslash
-%     _ | < >           underscore vertical-bar less-than greater-than
-%
-
-\documentstyle[ltugboat,Lambda]{article}
-
-% This document defines a whole load of extra commands, some of which
-% over-ride how LaTeX normally lays things out.  For example, ~ is
-% redefined to give a hairspace in math mode.  This whole document
-% should probably be put in a group to stop it getting in the way 
-% of other articles' macros.
-
-\title{Lists in \TeX's Mouth}
-
-\author{Alan Jeffrey}
-
-\address{Programming Research Group\\
-         Oxford University\\
-         11 Keble Road\\
-         Oxford OX1 3QD}
-
-\netaddress{Alan.Jeffrey@uk.ac.oxford.prg}
-
-\makeatletter
-
-% The mathcodes for the letters A, ..., Z, a, ..., z are changed to
-% generate text italic rather than math italic by default. This makes
-% multi-letter names look neater. The mathcode for character 'c'
-% is set to "7000 (variable family) + "400 (text italic) + c.
-% 
-% This neat bit of code is due to Mike Spivey.
-
-\def\@setmcodes#1#2#3{{\count0=#1 \count1=#3
-        \loop \global\mathcode\count0=\count1 \ifnum \count0<#2
-        \advance\count0 by1 \advance\count1 by1 \repeat}}
-
-\@setmcodes{`A}{`Z}{"7441}
-\@setmcodes{`a}{`z}{"7461}
-
-\def\Number#1{\csname Number-#1\endcsname}
-\def\Label#1{\csname Label-#1\endcsname}
-
-\newcount\Lastnum
-
-\def\Forward#1%
-   {\global\advance\Lastnum by 1
-    \csnameafter\xdef{Number-#1}%
-       {\the\Lastnum}%
-    \csnameafter\xdef{Label-\the\Lastnum}%
-       {\@currentlabel}}
-
-\def\csnameafter#1#2%
-   {\expandafter#1\csname#2\endcsname}
-
-\def\Bylist#1%
-   {\Map\Label
-      {\Insertsort\Lessthan
-         {\Map\Number{#1}}}}
-
-\def\By{\Show\Bylist}
-
-\let\bindspace=~
-\def~{\ifmmode \, \else \bindspace \fi}
-
-\def\start#1{\lefteqn{#1}\quad\\}
-
-\def\nil{[\,\,]}
-
-\newtheorem{fact}{Fact}
-\def\thefact{\@roman\c@fact}
-
-\def\cstok#1{\leavevmode\thinspace\hbox{\vrule\vtop{\vbox{\hrule\kern1pt
-        \hbox{\vphantom{\tt/}\thinspace{\tt#1}\thinspace}}%
-      \kern1pt\hrule}\vrule}\thinspace}
-
-\begingroup \catcode `|=0 \catcode `[= 1
-\catcode`]=2 \catcode `\{=12 \catcode `\}=12
-\catcode`\\=12 |gdef|@xTeXcode#1\end{TeXcode}[#1|end[TeXcode]]
-|endgroup
-
-\def\TeXcode
-   {\@verbatim \smallskip\hrule\medskip \frenchspacing\@vobeyspaces \@xTeXcode}
-\def\endTeXcode
-   {\medskip\hrule\smallskip\endtrivlist}
-
-\makeatother
-
-\begin{document}
-
-\maketitle
-
-\section{Why lists?}
-
-Originally, I wanted lists in \TeX\ for
-a paper I was writing which contained a lot of facts.
-\begin{fact}
-\Forward{Fac-cows}
-   Cows have four legs.
-\end{fact}
-\begin{fact}
-\Forward{Fac-people}
-   People have two legs.
-\end{fact}
-\begin{fact}
-\Forward{Fac-yawn}
-   Lots of facts in a row can be dull.
-\end{fact}
-These are generated with commands like
-\begin{verbatim}
-\begin{fact}
-\Forward{Fac-yawn}
-   Lots of facts in a row can be dull.
-\end{fact}
-\end{verbatim}
-I can then refer to these facts by saying
-\begin{verbatim}
-\By[Fac-yawn,Fac-cows,Fac-people]
-\end{verbatim}
-to get 
-\By[Fac-yawn,Fac-cows,Fac-people].
-And as if by magic, the facts come out sorted, rather than in
-the jumbled order I typed them.  This is very useful, as I can
-reorganize my document to my heart's content, and not have to worry
-about getting my facts straight.  
-
-Originally I tried programming this sorting routine in \TeX's
-list macros, from Appendix~D of \TB, but I soon ran into trouble.
-The problem is that all the Appendix~D macros work by assigning
-values to macros.  For example:
-\begin{verbatim}
-\concatenate\foo=\bar\baz
-\end{verbatim}
-expands out to
-\begin{verbatim}
-\ta=\expandafter{\bar}
-\tb=\expandafter{\baz}
-\edef\foo{\the\ta\the\tb}
-\end{verbatim}
-which assigns the macro \verb|\foo| the contents of \verb|\bar|
-followed by the contents of \verb|\baz|.  Programming sorting routines
-(which are usually recursive) in terms of these lists became rather
-painful, as I was constantly having to watch out for local variables,
-worrying about what happened if a local variable had the same name
-as a global one, and generally having a hard time.
-
-Then I had one of those ``flash of light'' experiences ---
-``You can do lambda-calculus in \TeX,'' I thought,
-and since you can do lists directly in lambda calculus, 
-you should be able to do lists straightforwardly in \TeX.  And so you
-can.  Well, fairly straightforwardly anyway.
-
-So I went and did a bit of mathematics, and derived the \TeX\ macros
-you see here.  They were formally verified, and worked first time
-(modulo typing errors, of which there were two).
-
-\section{\TeX's mouth and \TeX's stomach}
-
-\TeX's programming facilities come in two forms --- there are \TeX's
-{\em macros\/} which are expanded in its mouth, and some additional 
-{\em assignment\/} operations like \verb|\def| which take place in the
-stomach.  \TeX\ can often spring surprises on you as exactly what
-gets evaluated where.
-For example, in \LaTeX\ I can put down a
-label by saying \verb|\label{Here}|.
-\label{Here}
-Then I can refer back to that label by saying
-\verb|Section~\ref{Here}|, which
-produces Section~\ref{Here}.  Unfortunately, \verb|\ref{Here}| does
-{\em not\/} expand out to {\tt\ref{Here}}!  Instead, it expands out to:
-\begin{verbatim}
-\edef\@tempa{\@nameuse{r@Here}}
-\expandafter\@car\@tempa\@nil\null
-\end{verbatim}
-This means that I can't say 
-\begin{verbatim}
-\ifnum\ref{Here}<4 Hello\fi
-\end{verbatim} 
-and hope that this will expand out to Hello.  Instead I 
-get an error message.  Which is rather a pity, as \TeX's mouth is
-quite a powerful programming language (as powerful as a Turing Machine in
-fact).  
-
-\section{Functions}
-
-A {\em function\/} is a mathematical object that takes in an argument
-(which could well be another function) and returns some other mathematical
-object.  For example the function $Not$ takes in a boolean and returns
-its complement.  I'll write function application without brackets,
-so $Not~b$ is the boolean complement of $b$.  
-
-Function application
-binds to the left, so $f~a~b$ is $(f~a)~b$ rather than $f~(a~b)$.
-For example, $Or~a~b$ is the boolean or of $a$ and $b$, and
-$Or~True$ is a perfectly good function that takes in a boolean
-and returns $True$.
-
-The obvious equivalents of functions in \TeX\ are macros ---
-if I define a function $Foo$ to be:
-\begin{eqnarray*}
-   Foo~x  &  =  &  True
-\end{eqnarray*}
-then it can be translated into \TeX\ as:
-\begin{verbatim}
-\def\Foo#1{\True}
-\end{verbatim}
-So where $Foo$ is a function that takes in one argument, \verb|\Foo|
-is a macro that takes in one parameter.  Nothing has changed except
-the jargon and the font.  \TeX\ macros can even be partially applied,
-for example if we defined:
-\begin{eqnarray*}
-   Baz  &  =  &  Or~True
-\end{eqnarray*}
-then the \TeX\ equivalent would be
-\begin{verbatim}
-\def\Baz{\Or\True}
-\end{verbatim}
-Once \verb|\Baz| is expanded, it will expect to be given a parameter,
-but when we are defining things, we can go around partially applying
-them all we like.
-
-Here, I'm using $=$ without formally defining it, which is rather
-naughty.  If I say $x = y$, this means 
-``given enough parameters, $x$ and $y$ will eventually
-expand out to the same thing.''  For example $Foo = Baz$, because
-for any $x$,
-\begin{eqnarray*}
-   \start{Foo~x}
-   &  =  &  True  \\
-   &  =  &  Or~True~x  \\
-   &  =  &  Baz~x
-\end{eqnarray*}
-Normally, functions have to {respect equality\/} which means that:
-\begin{itemize}
-\item if $x = y$ then $f~x = f~y$, and
-\item if $x$ respects equality, then $f~x$ respects equality.
-\end{itemize}
-However, some \TeX\ control sequences don't obey this.  For example,
-\verb|\string\Foo| and \verb|\string\Baz| are different, even though
-$Foo = Baz$.  Hence $string$ doesn't respect equality.
-Unless otherwise stated, we won't assume functions respect equality,
-although all the functions defined here do.
-
-All of our functions have capital letters, so that their \TeX\ equivalents
-(\verb|\Not|, \verb|\Or| and so on) don't clash with standard \TeX\ or
-\LaTeX\ macros.
-
-\subsection{Identity}
-
-The simplest function is the {\em identity\/} function, called
-$Identity$ funnily enough, which is defined:
-\begin{eqnarray*}
-   Identity~x  &  =  &  \Identity{x}
-\end{eqnarray*}
-This, it must be admitted, is a pretty dull function, but
-it's a useful basic combinator.  It can be implemented
-in \TeX\ quite simply.
-\begin{TeXcode}
-\def\Identity#1{#1}
-\end{TeXcode}
-The rules around this definition mean that it is actually part of
-\verb|Lambda.sty| and not just another example.
-
-\subsection{Error}
-
-Whereas $Identity$ does nothing in a fairly pleasant sort of way,
-$Error$ does nothing in a particularly brutal and harsh fashion.
-Mathematically, $Error$ is the function that destroys everything
-else in front of it.  It is often written as $\perp$.
-\begin{eqnarray*}
-   Error~x  &  =  &  Error
-\end{eqnarray*}
-In practice, destroying the entire document when we hit one error
-is a bit much, so we'll just print out an error message.
-The user can carry on past an error at their own risk, as the code
-will no longer be formally verified.
-\begin{TeXcode}
-\def\Error
-   {\errmessage{Abandon verification all 
-                ye who enter here}}
-\end{TeXcode}
-Maybe this function ought to return a more useful error message \ldots
-
-\subsection{First and Second}
-
-Two other basic functions are $First$ and $Second$, both of which
-take in two arguments, and do the obvious thing.  They are defined:
-\begin{eqnarray*}
-    First~x~y  &  =  &  x  \\
-   Second~x~y  &  =  &  y
-\end{eqnarray*}
-We could, in
-fact, define $Second$ in terms of $Identity$ and $First$.  
-For any $x$ and $y$,
-\begin{eqnarray*}
-   \start{First~Identity~x~y}  
-   &  =  &  Identity~y  \\
-   &  =  &  y  \\
-   &  =  &  Second~x~y
-\end{eqnarray*}
-So $First~Identity = Second$.  This means that anywhere in our \TeX\ code
-we have \verb|\First\Identity| we could replace it by \verb|\Second|.
-This is perhaps not the most astonishing \TeX\ fact known to humanity,
-but this sort of proof did enable more complex bits of \TeX\ to be
-verified before they were run.
-
-The \TeX\ definitions of \verb|\First| and \verb|\Second| are pretty
-obvious.
-\begin{TeXcode}
-\def\First#1#2{#1}
-\def\Second#1#2{#2}
-\end{TeXcode}
-Note that in \TeX\, \verb|\First\foo\bar| expands out to
-\verb|\foo| {\em without\/} expanding out \verb|\bar|.
-This is very useful, as we can write macros that would take
-forever and a day to run if they expanded all their arguments,
-but which actually terminate quite quickly.  This is called
-{\em lazy evaluation\/} by the functional programming community.
-
-\subsection{Compose}
-
-Given two functions $f$ and $g$ we would like to be able to {\em compose\/}
-them to produce a function that first applies $g$ then applies $f$.
-Normally, this is written as $f \circ g$, but unfortunately \TeX\ doesn't
-have infix functions, so we'll have to write it $Compose~f~g$.
-\begin{eqnarray*}
-   Compose~f~g~x  &  =  &  f~(g~x)
-\end{eqnarray*}
->From this definition, we can deduce that $Compose$ is associative:
-\begin{eqnarray*}
-   \start{Compose~(Compose~f~g)~h}  
-   &  =  &  Compose~f~(Compose~g~h)
-\end{eqnarray*}
-and $Identity$ is the left unit of $Compose$:
-\begin{eqnarray*}
-        Compose~Identity~f  &  =  &  f 
-\end{eqnarray*}
-The reader may wonder why $Identity$ is called a {\em left\/} unit
-even though it occurs on the right of the $Compose$ --- this is a side-effect
-of using prefix notations where infix is more normal.  The infix version
-of this equation is:
-\begin{eqnarray*}
-   Identity \circ f  &  =  &  f
-\end{eqnarray*}
-so $Identity$ is indeed on the left of the composition.
-
-$Compose$ can be implemented in \TeX\ as
-\begin{TeXcode}
-\def\Compose#1#2#3{#1{#2{#3}}}
-\end{TeXcode}
-
-\subsection{Twiddle}
-
-Yet another useful little function is $Twiddle$, which takes in 
-a function and reverses the order that function takes its (first two)
-arguments.
-\begin{eqnarray*}
-   Twiddle~f~x~y  &  =  &  f~y~x
-\end{eqnarray*}
-Again, there aren't many immediate uses for such a function, but it'll
-come in handy later on.  It satisfies the properties
-\begin{eqnarray*}
-              Twiddle~First  &  =  &  Second  \\
-             Twiddle~Second  &  =  &  First  \\
-    Compose~Twiddle~Twiddle  &  =  &  Identity
-\end{eqnarray*}
-Its \TeX\ equivalent is
-\begin{TeXcode}
-\def\Twiddle#1#2#3{#1{#3}{#2}}
-\end{TeXcode}
-This function is called ``twiddle'' because it is sometimes written
-$\widetilde f$ (and $\sim$ is pronounced ``twiddle'').  
-It also twiddles its arguments around,
-which is quite nice if your sense of humour runs to appalling puns.
-
-\section{Booleans}
-
-As we're trying to program a sorting routine, it would be nice to
-be able to define orderings on things, and to do this we need some
-representation of boolean variables.  Unfortunately \TeX\ doesn't have a type
-for booleans, so we'll have to invent our own.  We'll
-implement a boolean as a function $b$ of the form
-\begin{eqnarray*}
-   b~x~y  &  
-   =  &  
-   \left\{
-      \begin{array}{ll}
-         x  &  \mbox{if $b$ is true}  \\
-         y  &  \mbox{otherwise}
-      \end{array}
-   \right.
-\end{eqnarray*}
-More formally, a 
-boolean $b$ is a function which respects equality,
-such that for all $f$, $g$ and $z$:
-\begin{eqnarray*}
-   b~f~g~z  &  =  &  b~(f~z)~(g~z)
-\end{eqnarray*}
-and for all $f$ and $g$ which respect equality,
-\begin{eqnarray*}
-   b~(f~b)~(g~b)  &  =  &  b~(f~First)~(g~Second)
-\end{eqnarray*}
-All the functions in this section satisfy these properties.  Surprisingly
-enough, so does $Error$, which is quite useful, as it allows us to 
-reason about booleans which ``go wrong''.  
-
-\subsection{True, False and Not}
-
-Since we are implementing booleans as functions, we already have the
-definitions of $True$, $False$ and $Not$.
-\begin{eqnarray*}
-    True  &  =  &  First  \\
-   False  &  =  &  Second  \\
-     Not  &  =  &  Twiddle
-\end{eqnarray*}
-So for free we get the following results:
-\begin{eqnarray*}
-          Not~True  &  =  &  False  \\
-         Not~False  &  =  &  True  \\
-   Compose~Not~Not  &  =  &  Identity  
-\end{eqnarray*}
-The \TeX\ implementation is not exactly difficult:
-\begin{TeXcode}
-\let\True=\First
-\let\False=\Second
-\let\Not=\Twiddle
-\end{TeXcode}
-
-\subsection{And and Or}
-
-The definitions of $And$ and $Or$ are:
-\begin{eqnarray*}
-   And~a~b  &  
-   =  &  
-   \left\{
-      \begin{array}{ll}
-         b      &  \mbox{if $a$ is true}  \\
-         False  &  \mbox{otherwise}
-      \end{array}
-   \right.
-   \\
-   Or~a~b  &  
-   =  &  
-   \left\{
-      \begin{array}{ll}
-         True   &  \mbox{if $a$ is true}  \\
-         b      &  \mbox{otherwise}
-      \end{array}
-   \right.
-\end{eqnarray*}
-With our definition of what a boolean is, this is just the same as
-\begin{eqnarray*}
-   And~a~b  &  =  &  a~b~False  \\
-    Or~a~b  &  =  &  a~True~b
-\end{eqnarray*}
->From these conditions, we can show that $And$ is associative, and 
-has left unit $True$ and left zeros $False$ and $Error$:
-\begin{eqnarray*}
-   And~(And~a~b)~c  &  =  &  And~a~(And~b~c)  \\
-        And~True~b  &  =  &  b  \\
-       And~False~b  &  =  &  False  \\
-       And~Error~b  &  =  &  Error
-\end{eqnarray*}
-$Or$ is associative, has left unit $False$ and left zeros $True$ and $Error$:
-\begin{eqnarray*}
-   Or~(Or~a~b)~c  &  =  &  Or~a~(Or~b~c)  \\
-      Or~False~b  &  =  &  b  \\
-       Or~True~b  &  =  &  True  \\
-      Or~Error~b  &  =  &  Error
-\end{eqnarray*}
-De~Morgan's laws hold:
-\begin{eqnarray*}
-   Not~(And~a~b)  &  =  &  Or~(Not~a)~(Not~b)  \\
-    Not~(Or~a~b)  &  =  &  And~(Not~a)~(Not~b)  
-\end{eqnarray*}
-and $And$ and $Or$ left-distribute through one another:
-\begin{eqnarray*}
-   Or~a~(And~b~c)  &  =  &  And~(Or~a~b)~(Or~a~c)  \\
-   And~a~(Or~b~c)  &  =  &  Or~(And~a~b)~(And~a~c)
-\end{eqnarray*}
-$And$ and $Or$ are {\em not\/} commutative, though.  For example,
-\begin{eqnarray*}
-   \start{Or~True~Error}  
-   &  =  &  True~True~Error  \\
-   &  =  &  True
-\end{eqnarray*}
-but
-\begin{eqnarray*}
-   \start{Or~Error~True}  
-   &  =  &  Error~True~True \\
-   &  =  &  Error
-\end{eqnarray*}
-This is actually quite useful since there are some booleans that
-need to return an error occasionally.  If $a$ is $True$ when $b$ 
-is safe (i.e.\ doesn't become $Error$) and is $False$ otherwise, we can
-say $Or~a~b$ and know we're not going to get an error.  This is handy
-for things like checking for division by zero, or trying to get the
-first element of an empty list.
-
-Similarly, because of the possibility of $Error$,
-$And$ and $Or$ don't right-distribute through each other,
-as
-\begin{eqnarray*}
-   \start{Or~(And~False~Error)~True}
-   &  \ne  &  And~(Or~False~True)~(Or~Error~True)
-\end{eqnarray*}
-As errors shouldn't crop up, this needn't worry us too much.
-\begin{TeXcode}
-\def\And#1#2{#1{#2}\False}
-\def\Or#1#2{#1\True{#2}}
-\end{TeXcode}
-
-\subsection{Lift}
-
-Quite a lot of the time we won't be dealing with booleans, but with
-{\em predicates}, which are just functions that return a boolean.
-For example, the predicate $Lessthan$ is defined below so that
-$Lessthan~i~j$ is true whenever $i<j$.
-Given a predicate $p$ we would like to be able to 
-{\em lift\/} it to $Lift~p$, defined:
-\begin{eqnarray*}
-   Lift~p~f~g~x  &  =  &  p~x~f~g~x
-\end{eqnarray*}
-For example, $Lift~(Lessthan~0)~f~g$ takes in a number and applies
-$f$ to it if it is positive and $g$ to it otherwise.  This is quite
-useful for defining functions.
-\begin{TeXcode}
-\def\Lift#1#2#3#4{#1{#4}{#2}{#3}{#4}}
-\end{TeXcode}
-
-\subsection{Lessthan and \TeX if}
-
-Finally, we would like to be able to use \TeX's built-in booleans
-as well as our own.  For example, we would like a predicate
-$Lessthan$ such that:
-\begin{eqnarray*}
-   Lessthan~i~j  &  
-   =  &
-   \left\{
-      \begin{array}{ll}
-         True   &  \mbox{if } i < j    \\
-         False  &  \mbox{if } i \ge j  \\
-         Error  &  \mbox{otherwise}  
-      \end{array}
-   \right.
-\end{eqnarray*}
-The $Error$ condition happens if we try applying $Lessthan$ to something
-that isn't a number --- $Lessthan~True~False$ is $Error$%
-\footnote
-   {Actually, that's a little white lie --- trying to persuade \TeX\ to
-    do run-time type checking isn't much fun.  So the \TeX\ implementation
-    of this is actually a {\em refinement\/} where the $Error$ condition
-    has been replaced by whatever it is \TeX\ does if you try doing
-    {\tt\string\ifnum $x$ < $y$} when $x$ and $y$ aren't numbers}.
-This is fine as a mathematical definition, but how will
-we implement it?  If we assume we have a macro \verb|\TeXif|,
-which converts \TeX\ if-statements into booleans, we could just
-define:
-\begin{TeXcode}
-\def\Lessthan#1#2{\TeXif{\ifnum#1<#2 }}
-\end{TeXcode}
-So the question is just how to define \verb|\TeXif|.
-Unfortunately, the ``obvious'' code does not work:
-\begin{verbatim}
-\def\TeXif#1#2#3{#1#2\else#3\fi}
-\end{verbatim}
-For example, \verb|\TeXif\iftrue\True\True| doesn't expand out to
-\verb|\True|.  Instead, it expands as:
-\begin{verbatim}
-\TeXif\iftrue\True\True
-   = \iftrue\True\else\True\fi
-   = \True\else\True\fi
-   = \else\fi
-   =
-\end{verbatim}
-Another common \TeX nique is to use a macro \verb|\next| to
-be the expansion text:
-\begin{verbatim}
-\def\TeXif#1#2#3%
-   {#1\def\next{#2}\else\def\next{#3}\fi
-    \next}
-\end{verbatim}
-However, this uses \TeX's stomach to do the \verb|\def|, and we are
-trying to do this using only the mouth.  One (slightly tricky) solution
-is to use pattern-matching to gobble up the offending \verb|\else| and/or
-\verb|\fi|.
-\begin{TeXcode}
-\def\gobblefalse\else\gobbletrue\fi#1#2%
-   {\fi#1}
-\def\gobbletrue\fi#1#2%
-   {\fi#2}
-\def\TeXif#1%
-   {#1\gobblefalse\else\gobbletrue\fi}
-\end{TeXcode}
-So if the \TeX\ if-statement is true, \verb|\gobblefalse| gobbles
-up the false-text, otherwise \verb|\gobbletrue| gobbles up the 
-true-text.  For example,
-\begin{verbatim}
-\TeXif\iftrue\True\True
-   = \iftrue\gobblefalse\else
-         \gobbletrue\fi\True\True
-   = \gobblefalse\else
-         \gobbletrue\fi\True\True
-   = \fi\True
-   = \True
-\end{verbatim}
-Phew.  And so we have booleans.
-
-\section{Lists}
-
-A list is a (possibly infinite) sequence of values.  For example,
-the list $[1,2,3]$ contains three numbers, the list $\nil$ contains
-none, and the list $[1,2,3,\ldots]$ contains infinitely many.
-A list is either {\em empty\/} (written $\nil$) or is comprised
-of a {\em head\/}
-$x$ and a {\em tail\/} $xs$ (in which case it's written $x:xs$).
-For example, $1:2:3:\nil$ is $[1,2,3]$.  
-
-In a similar fashion to the implementation of booleans,
-a list $xs$ is implemented as a function of the form
-\begin{eqnarray*}
-   xs~f~e  &
-   =  &
-   \left\{
-      \begin{array}{ll}
-         e       &  \mbox{if $xs$ is empty}  \\
-         f~y~ys  &  \mbox{if $xs$ has head $y$ and tail $ys$}
-      \end{array}
-   \right.
-\end{eqnarray*}
-Again, we are implementing a datatype as a function, a quite powerful
-trick, just not one usually seen in \TeX.  We will assume that
-whenever a list $x:xs$ is applied to $f$ and $e$, $f~x$ respects equality.
-This allows us to assume that if $xs = ys$ then $x:xs = x:ys$,
-which is handy.  
-
-\subsection{Nil, Cons, Stream and Singleton}
-
-The simplest list is $Nil$, the empty list which we have been writing
-$\nil$.  
-\begin{eqnarray*}
-   Nil  &  =  &  Second
-\end{eqnarray*}
-The other possible list is $Cons~x~xs$, which has head $x$ and tail $xs$.
-\begin{eqnarray*}
-   Cons~x~xs~f~e  &  =  &  f~x~xs
-\end{eqnarray*}
-Every list can be constructed using these functions.
-The list $[1,2,3]$ is $Cons~1~(Cons~2~(Cons~3~Nil))$, and the
-list $[a,a,a,\ldots]$ is $Stream~a$ where $Stream$ is defined:
-\begin{eqnarray*}
-   Stream~a  &  =  &  Cons~a~(Stream~a)
-\end{eqnarray*}
-There's even at least one application for infinite lists,
-as we'll see in Section~\ref{outputroutines}.
-
-The singleton list $[a]$ is $Singleton~a$, defined as:
-\begin{eqnarray*}
-   Singleton~a  &  =  &  Cons~a~Nil
-\end{eqnarray*}
-These all have straightforward \TeX\ definitions.
-\begin{TeXcode}
-\let\Nil=\Second
-\def\Cons#1#2#3#4{#3{#1}{#2}}
-\def\Stream#1{\Cons{#1}{\Stream{#1}}}
-\def\Singleton#1{\Cons{#1}\Nil}
-\end{TeXcode}
-
-\subsection{Head and Tail}
-
-So, we can construct any list we like, but we still can't get any information
-out of it.  To begin with, we'd like to be able to get the head
-and tail of a list.
-\begin{eqnarray*}
-   Head~xs  &  =  &  xs~First~Error  \\
-   Tail~xs  &  =  &  xs~Second~Error
-\end{eqnarray*}
-For example, the tail of $x:xs$ is
-\begin{eqnarray*}
-   \start{Tail~(Cons~x~xs)}  
-   &  =  &  Cons~x~xs~Second~Error  \\
-   &  =  &  Second~x~xs  \\
-   &  =  &  \Tail{\Cons{x}{xs}}
-\end{eqnarray*}
-The tail of $\nil$ is, as one would expect,
-\begin{eqnarray*}
-   \start{Tail~Nil}  
-   &  =  &  Nil~Second~Error  \\
-   &  =  &  Error
-\end{eqnarray*}
-And the head of $Stream~a$ is
-\begin{eqnarray*}
-   \start{Head~(Stream~a)}  
-   &  =  &  Stream~a~First~Error  \\
-   &  =  &  Cons~a~(Stream~a)~First~Error  \\
-   &  =  &  First~a~(Stream~a)  \\
-   &  =  &  \Head{\Stream{a}}
-\end{eqnarray*}
-So we can get the head of an infinite list in finite time.  This is
-fortunate, as otherwise there wouldn't be much point in allowing
-infinite objects. 
-\begin{TeXcode}
-\def\Head#1{#1\First\Error}
-\def\Tail#1{#1\Second\Error}
-\end{TeXcode}
-
-\subsection{Foldl and Foldr}
-
-Using $Head$ and $Tail$ we can get at the beginning of any non-empty list,
-but in general we need more information than that.  Rather than write
-a whole bunch of recursive functions on lists, I'll implement two
-fairly general functions, with which we can implement (almost) everything
-else.
-
-$Foldl$ and $Foldr$ both take in functions and apply them recursively
-to a list.  $Foldl$ starts at the left of the list, and $Foldr$
-starts at the right.  For example,
-\begin{eqnarray*}
-   Foldl~f~e~[1,2,3]  &  =  &  f~(f~(f~e~1)~2)~3  \\
-   Foldr~f~e~[1,2,3]  &  =  &  f~1~(f~2~(f~3~e))
-\end{eqnarray*}
-These functions will be used a lot later on.  $Foldl$ can be defined:
-\begin{eqnarray*}
-      Foldl~f~e~xs  &  =  &  xs~(Foldl'~f~e)~e  \\
-   Foldl'~f~e~x~xs  &  =  &  Foldl~f~(f~e~x)~xs
-\end{eqnarray*}
-So $Foldl~f~e~\nil$ is
-\begin{eqnarray*}
-   \start{Foldl~f~e~Nil}  
-   &  =  &  Nil~(Foldl'~f~e)~e  \\
-   &  =  &  \Foldl{f}{e}\Nil
-\end{eqnarray*}
-And $Foldl~f~e~(x:xs)$ is
-\begin{eqnarray*}
-   \start{Foldl~f~e~(Cons~x~xs)}  
-   &  =  &  Cons~x~xs~(Foldl'~f~e)~e  \\
-   &  =  &  Foldl'~f~e~x~xs  \\
-   &  =  &  Foldl~f~(f~e~x)~xs
-\end{eqnarray*}
-For example, $Foldl~f~e~[1,2,3]$ is
-\begin{eqnarray*}
-   \start{Foldl~f~e~[1,2,3]}  
-   &  =  &  Foldl~f~(f~e~1)~[2,3]  \\
-   &  =  &  Foldl~f~(f~(f~e~1)~2)~[3]  \\
-   &  =  &  Foldl~f~(f~(f~(f~e~1)~2)~3)~\nil  \\
-   &  =  &  f~(f~(f~e~1)~2)~3
-\end{eqnarray*}
-as promised.  Similarly, we can define $Foldr$ as
-\begin{eqnarray*}
-      Foldr~f~e~xs  &  =  &  xs~(Foldr'~f~e)~e  \\
-   Foldr'~f~e~x~xs  &  =  &  f~x~(Foldr~f~e~xs)
-\end{eqnarray*}
-For $Foldr~f$ to respect equality, $f~x$ should respect equality.
-
-When we do the unfolding, we discover that
-\begin{eqnarray*}
-       Foldr~f~e~\nil  &  =  &  e  \\
-   Foldr~f~e~(x:xs)  &  =  &  f~e~(Foldr~f~e~xs)
-\end{eqnarray*}
-$Foldr$ tends to be more efficient than $Foldl$, because $Foldl$
-has to run along the entire list before it can start applying $f$,
-whereas $Foldr$ can apply $f$ straight away.  If $f$ is a lazy function,
-this can make quite a difference.  $Foldl$ on infinite lists, anyone?
-\begin{TeXcode}
-\def\Foldl#1#2#3%
-   {#3{\Foldl@{#1}{#2}}{#2}}
-\def\Foldl@#1#2#3#4%
-   {\Foldl{#1}{#1{#2}{#3}}{#4}}
-\def\Foldr#1#2#3%
-   {#3{\Foldr@{#1}{#2}}{#2}}
-\def\Foldr@#1#2#3#4%
-   {#1{#3}{\Foldr{#1}{#2}{#4}}}
-\end{TeXcode}
-
-\subsection{Cat}
-
-Given two lists, we would like to be able to stick them together,
-which is what $Cat$ (short for ``concatenate'')
-does.  For example, $Cat~[1,2]~[3,4]$ is
-$[1,2,3,4]$.  It can be defined using $Foldr$:
-\begin{eqnarray*}
-   Cat~xs~ys  &  =  &  Foldr~Cons~ys~xs
-\end{eqnarray*}
-So
-\begin{eqnarray*}
-   \start{Cat~[1,2]~[3,4]}  
-   &  =  &  Foldr~Cons~[3,4]~[1,2]  \\
-   &  =  &  Cons~1~(Foldr~Cons~[3,4]~[2])  \\
-   &  =  &  Cons~1~(Cons~2~(Foldr~Cons~[3,4]~\nil))  \\
-   &  =  &  Cons~1~(Cons~2~[3,4])  \\
-   &  =  &  \Unlistize{\Cat{\Listize[1,2]}{\Listize[3,4]}}
-\end{eqnarray*}
-The \TeX\ code for \verb|\Cat| is suspiciously similar to its mathematical
-definition.
-\begin{TeXcode}
-\def\Cat#1#2{\Foldr\Cons{#2}{#1}}
-\end{TeXcode}
-
-\subsection{Reverse}
-
-We can reverse any list with the function $Reverse$, defined using
-$Foldl$:
-\begin{eqnarray*}
-   Reverse  &  =  &  Foldl~(Twiddle~Cons)~Nil
-\end{eqnarray*}
-For example, $Reverse~[1,2,3]$ can be calculated:
-\begin{eqnarray*}
-   \start{Reverse~[1,2,3]}  
-   &  =  &  Foldl~(Twiddle~Cons)~Nil~[1,2,3]  \\
-   &  =  &  Twiddle~Cons  \\
-   &     &  \quad (Twiddle~Cons~(Twiddle~Cons~Nil~1)~2)~3  \\
-   &  =  &  Cons~3~(Cons~2~(Cons~1~Nil))  \\
-   &  =  &  \Show\Reverse[1,2,3]
-\end{eqnarray*}
-The \TeX\ code for \verb|\Reverse| doesn't even take in any parameters.
-\begin{TeXcode}
-\def\Reverse{\Foldl{\Twiddle\Cons}\Nil}
-\end{TeXcode}
-
-\subsection{All, Some and Isempty}
-
-Given a predicate $p$, we can find out if all the elements of
-a list satisfy $p$ with $All~p$.  Similarly we can find if something
-in the list satisfies $p$ with $Some~p$.  For example,
-\begin{eqnarray*}
-   All~(Lessthan~1)~[1,2,3]  
-   &  =  &  \All{\Lessthan 1}{\Listize[1,2,3]}{True}{False}  \\
-   Some~(Lessthan~1)~[1,2,3]  
-   &  =  &  \Some{\Lessthan 1}{\Listize[1,2,3]}{True}{False}
-\end{eqnarray*}
-These can be defined
-\begin{eqnarray*}
-    All~p  &  =  &  Foldr~(Compose~And~p)~True  \\
-   Some~p  &  =  &  Foldr~(Compose~Or~p)~False
-\end{eqnarray*}
-For example, $Isempty$ can be defined
-\begin{eqnarray*}
-   Isempty  &  =  &  All~(First~False)
-\end{eqnarray*}
-This is probably not the most efficient check in the world, but we
-hardly ever need it --- $Foldl$ or $Foldr$ will normally do the job.
-\begin{TeXcode}
-\def\All#1{\Foldr{\Compose\And{#1}}\True}
-\def\Some#1{\Foldr{\Compose\Or{#1}}\False}
-\def\Isempty{\All{\First\False}}
-\end{TeXcode}
-
-\subsection{Filter}
-
-$Filter$ takes a predicate $p$ and a list $xs$, and returns a list
-containing only those elements of $xs$ that satisfy $p$.  For example,
-\begin{eqnarray*}
-   Filter~(Lessthan~1)~[1,2,3]  &  =  &  \Show\Filter{\Lessthan 1}[1,2,3]
-\end{eqnarray*}
-$Filter$ can be defined as a $Foldr$:
-\begin{eqnarray*}
-   Filter~p  &  =  &  Foldr~(Lift~p~Cons~Second)~Nil
-\end{eqnarray*}
-Another easy bit of \TeX:
-\begin{TeXcode}
-\def\Filter#1%
-   {\Foldr{\Lift{#1}\Cons\Second}\Nil}
-\end{TeXcode}
-
-\subsection{Map}
-
-$Map$ takes a function $f$ and a list $xs$ and applies $f$ to every
-element of $xs$.  For example,
-\begin{eqnarray*}
-   Map~f~[1,2,3]  &  =  &  \Show\Map{f~}[1,2,3]
-\end{eqnarray*}
-This is another job for $Foldr$.
-\begin{eqnarray*}
-   Map~f  &  =  &  Foldr~(Compose~Cons~f)~Nil
-\end{eqnarray*}
-We shall see $Map$ used later on, to convert from a list of
-names such as \Show\Map{\Compose\mbox\tt}[Fac-yawn,Fac-cows], to a list of 
-labels such as \By[Fac-yawn,Fac-cows].
-\begin{TeXcode}
-\def\Map#1{\Foldr{\Compose\Cons{#1}}\Nil}
-\end{TeXcode}
-
-\subsection{Insert}
-
-The only function we need which isn't easily defined as a reduction
-is $Insert$, which inserts an element into a sorted list.  For example,
-\begin{eqnarray*}
-   Insert~Lessthan~3~[1,2,4,5]  &  =  &  \Show\Insert\Lessthan3[1,2,4,5]
-\end{eqnarray*}
-$Insert$ takes in an ordering as its first parameter, so we're not stuck
-with one particular order.  It is defined directly in terms of the 
-definition of lists.
-\begin{eqnarray*}
-      Insert~o~x~xs  &  =  &  xs~(Insert'~o~x)~(Singleton~x)  \\
-   Insert'~o~x~y~ys  &  =  &  o~x~y  \\
-                     &     &  \quad  (Cons~x~(Cons~y~ys))  \\
-                     &     &  \quad  (Cons~y~(Insert~o~x~ys))
-\end{eqnarray*}
-We can then define the function all this has been leading up to,
-$Insertsort$ which takes an ordering and a list, and insert-sorts the
-list according to the ordering.  For example,
-\begin{eqnarray*}
-   Insertsort~Lessthan~[2,3,1,2]  &  =  &  \Show\Insertsort\Lessthan[2,3,1,2]
-\end{eqnarray*}
-We can implement this as a fold:
-\begin{eqnarray*}
-   Insertsort~o  &  =  &  Foldr~(Insert~o)~Nil
-\end{eqnarray*}
-And so we've got sorted lists.
-\begin{TeXcode}
-\def\Insert#1#2#3%
-   {#3{\Insert@{#1}{#2}}{\Singleton{#2}}}
-\def\Insert@#1#2#3#4%
-   {#1{#2}{#3}%
-      {\Cons{#2}{\Cons{#3}{#4}}}%
-      {\Cons{#3}{\Insert{#1}{#2}{#4}}}}
-\def\Insertsort#1{\Foldr{\Insert{#1}}\Nil}
-\end{TeXcode}
-Interestingly, as we have implemented unbounded lists in \TeX's mouth,
-this means we can implement a Turing Machine.  So, if you believe
-the Church-Turing thesis, \TeX's mouth is as powerful as any
-computer anywhere.  Isn't that good to know?
-
-\section{Sorting reference lists}
-\label{thissection}
-
-So, these are the macros I've got to play with --- how do we apply them to
-sorting lists of references?  Well, I'm using \LaTeX, which keeps the
-current reference in a macro called \verb|\@currentlabel|, which 
-is~\ref{thissection} at the moment, as this is Section~\ref{thissection}.
-So I just need to store the value of \verb|\@currentlabel| somehow.
-
-Fortunately, I'm only ever going to be making references to facts
-earlier on in the document, in order to make sure I'm not proving
-any results in terms of themselves.  So I don't need to play around
-with auxiliary files, and can just do everything in terms of
-macros.
-
-\subsection{Number and Label}
-
-Each label in the document is given a unique number, in the order
-the labels were put down.  So the number of \verb|Fac-cows| 
-is \verb|\Number{Fac-cows}|, which expands out to~\Number{Fac-cows},
-the number of \verb|Fac-people| is~\Number{Fac-people}, and so on.
-
-Each number has an associated label with it.  For example,
-the first label is \verb|\Label{1}|, which is~\Label{1},
-the second label is~\Label{2} and so on.  So to find the label for
-\verb|Fac-cows|, we say \verb|\Label{\Number{Fac-cows}}| which expands 
-out to~\Label{\Number{Fac-cows}}.
-
-These numbers and labels are kept track of in macros.  For example,
-the number of \verb|Fac-cows| is kept in \cstok{Number-Fac-cows}.
-Similarly, the first label is kept in \cstok{Label-1}.
-As these macros have dashes in their names, they aren't likely to
-be used already.
-
-So the \TeX\ code for \verb|\Number| and \verb|\Label| is pretty
-simple.
-\begin{verbatim}
-\def\Number#1{\csname Number-#1\endcsname}
-\def\Label#1{\csname Label-#1\endcsname}
-\end{verbatim}
-
-\subsection{Lastnum and Forward}
-
-The number of the most recent label is kept in \verb|\Lastnum|.
-\begin{verbatim}
-\newcount\Lastnum
-\end{verbatim}
-To put down a label \verb|Foo|, I type \verb|\Forward{Foo}|.
-\Forward{Foo}
-This increments the counter
-\verb|\Lastnum|, and \verb|\xdef|s \cstok{Number-Foo}
-to be the value of
-\verb|\Lastnum|, which is now~\the\Lastnum.  So
-\verb|\Number{Foo}| now expands to~\Number{Foo}.
-Similarly, it \verb|\xdef|s \cstok{Label-\Number{Foo}} to be
-\verb|\@currentlabel|, which is currently~\Label{\Number{Foo}}.
-So \verb|\Label{\Number{Foo}}| now expands to~\Label{\Number{Foo}}.
-\begin{verbatim}
-\def\Forward#1%
-   {\global\advance\Lastnum by 1
-    \csnameafter\xdef{Number-#1}%
-       {\the\Lastnum}%
-    \csnameafter\xdef{Label-\the\Lastnum}%
-       {\@currentlabel}}
-\end{verbatim}
-This uses \verb|\csnameafter\foo{bar}|, which expands out to
-\verb|\foo\bar|.
-\begin{verbatim}
-\def\csnameafter#1#2%
-   {\expandafter#1\csname#2\endcsname}
-\end{verbatim}
-
-\subsection{Listize, Unlistize and Show}
-
-At the moment, lists have to be built up using \verb|\Cons| and 
-\verb|\Nil|, which is rather annoying.  Similarly, we can't actually
-do anything with a list once we've built it.  We'd like some way
-of converting lists in the form \verb|[a,b,c]| to and from the
-form $[a,b,c]$.  This is done with \verb|\Listize| and \verb|\Unlistize|.
-So \verb|\Listize[a,b,c]| expands to 
-\begin{verbatim}
-\Cons{a}{\Cons{b}{\Cons{c}{\Nil}}}
-\end{verbatim}
-Similarly, \verb|\Unlistize| takes the list $[a,b,c]$ and expands out
-to \verb|[a, b, c]|.  \verb|\Unlistize| is done with a $Foldr$.
-\begin{TeXcode}
-\def\Unlistize#1{[#1\Unlistize@{}]}
-\def\Unlistize@#1{#1\Foldr\Commaize{}}
-\def\Commaize#1#2{, #1#2}
-\end{TeXcode}
-The macro \verb|\Listize| is just a \TeX\ hack with pattern matching.
-It would have been nice to use \verb|\@ifnextchar| for this, but
-that uses \verb|\futurelet|, which doesn't expand in the mouth.  Oh well.
-\begin{TeXcode}
-\def\Listize[#1]%
-   {\Listize@[#1,\relax]}
-\def\Listize@#1,#2]%
-   {\TeXif{\ifx\relax#2}%
-        {\Singleton{#1}}%
-        {\Cons{#1}{\Listize@#2]}}
-\end{TeXcode}
-This only works for nonempty lists --- \verb|\Listize[]| produces the
-singleton list \verb|\Singleton{}|.  It also uses \verb|\relax| as its
-end-of-list character, so lists with \verb|\relax| in them have to
-be done by hand.  You can't win them all.  So 
-\begin{verbatim}
-$\Unlistize{\Listize[a,b,c]}$
-\end{verbatim}
-produces 
-$\Unlistize{\Listize[a,b,c]}$.  This is such a common construction
-that I've defined a macro \verb|\Show| such that
-\verb|\Show\foo[a,b,c]| expands out to
-\begin{verbatim}
-\Unlistize{\foo{\Listize[a,b,c]}}
-\end{verbatim}
-For example, the equation
-\begin{eqnarray*}
-   Filter\,(Lessthan\,1)\,[1,2,3]  
-      &=& \Show\Filter{\Lessthan 1}[1,2,3]
-\end{eqnarray*}
-was generated with
-\begin{verbatim}
-\begin{eqnarray*}
-   Filter\,(Lessthan\,1)\,[1,2,3]  
-      &=& \Show\Filter{\Lessthan 1}[1,2,3]
-\end{eqnarray*}
-\end{verbatim}
-Many of the examples in this article were typeset this way.
-\begin{TeXcode}
-\def\Show#1[#2]%
-   {\Unlistize{#1{\Listize[#2]}}}
-\end{TeXcode}
-
-\subsection{By}
-
-Given these macros, we can now sort any list of references with $Bylist$,
-defined
-\begin{eqnarray*}
-   Bylist~xs  &  =  &  Map~Label  \\
-              &     &  \quad (Insertsort~Lessthan \\
-              &     &  \quad\quad (Map~Number~xs))
-\end{eqnarray*}
-This takes in a list of label names like \verb|Fac-yawn|,
-converts it into a list of numbers with $Map~Number$,
-sorts the resulting list with $Insertsort~Lessthan$,
-and finally converts all the numbers into labels like 
-\Label{\Number{Fac-yawn}} with $Map~Label$.  For example,
-\begin{eqnarray*}
-   \start{Bylist~\Show\Map{\Compose\mbox\tt}[Fac-yawn,Fac-cows]}
-   &  =  &  Map~Label~(Insertsort~Lessthan \\
-   &     &  \quad (Map~Number~
-               \Show\Map{\Compose\mbox\tt}[Fac-yawn,Fac-cows]))  \\
-   &  =  &  Map~Label~(Insertsort~Lessthan~
-               \Show\Map\Number[Fac-yawn,Fac-cows]) \\
-   &  =  &  Map~Label~\Show\Compose{\Insertsort\Lessthan}{\Map\Number}
-               [Fac-yawn,Fac-cows]  \\
-   &  =  &  \Show\Bylist[Fac-yawn,Fac-cows]
-\end{eqnarray*}
-The \TeX\ code for this is
-\begin{verbatim}
-\def\Bylist#1%
-   {\Map\Label
-      {\Insertsort\Lessthan
-         {\Map\Number{#1}}}}
-\end{verbatim}
-So we can now stick all this together, and define the macro \verb|\By|
-that prints out lists of references.  It is
-\begin{verbatim}
-\def\By{\Show\Bylist}
-\end{verbatim}
-So \verb|\By[Fac-yawn,Fac-cows]| is~\By[Fac-yawn,Fac-cows].
-Which is quite nice.
-
-\section{Other applications}
-\label{outputroutines}
-
-Is all this worth it?  Well, I've managed to get my lists of facts in
-order, but that's not the world's most astonishing application.
-There are other things that these lists are useful for, though.
-
-For example, Damian Cugley has a macro package under development for
-laying out magazines.  {\sc Mag}\TeX's output routine needs to be quite
-smart, as magazines often have gaps where illustrations or photographs
-are going to live.  In general, each block of text needs to be output
-in a different fashion from every other block of text.
-This will be handled by keeping an infinite list of output
-routines.  Each time a box is cut off the scroll to be output,
-the head of the list is chopped off and is used as the output routine
-for that box.  That way, quite complex page shapes can be built up.
-
-Mainly, though, these macros were written just as a challenge.
-I learned quite a lot about \TeX\ and needed some \TeX niques I'd
-never seen before.  It was also quite pleasing to see that \TeX\ code
-can be formally verified, albeit in a rather noddy way.  Without
-some sort of abstract view of lists, these \TeX\ macros could
-not have been written.
-
-\section{Acknowledgements}
-
-Thanks to Jeremy Gibbons for letting me bounce ideas off him
-and spotting the duff ones,
-to Damian Cugley for saying ``Do you really think \TeX\ is meant
-to do this?'', and to the Problem Solving Club for hearing me out.
-This work was sponsored by the Science and Engineering
-Research Council and Hewlett Packard.
-
-\makesignature
-
-\end{document}
-
diff --git a/Master/texmf-dist/doc/latex/skak/longmove_king_bug.tex b/Master/texmf-dist/doc/latex/skak/longmove_king_bug.tex
new file mode 100644
index 00000000000..8af601c3f54
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/longmove_king_bug.tex
@@ -0,0 +1,23 @@
+\documentclass{article}
+
+\usepackage{skak}
+
+\begin{document}
+
+\styleC
+
+\longmoves
+
+\newgame
+
+\mainline{ 1. e4 e5 2. Ke2 Ke7 }
+
+% \lastmove
+
+\showboard
+
+\end{document}
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: t
+%%% End: 
diff --git a/Master/texmf-dist/doc/latex/skak/makefile b/Master/texmf-dist/doc/latex/skak/makefile
index 61218d5c820..cacef853585 100644
--- a/Master/texmf-dist/doc/latex/skak/makefile
+++ b/Master/texmf-dist/doc/latex/skak/makefile
@@ -4,6 +4,7 @@
 # Version:	July 1999
 
 SHELL = /bin/sh
+LATEX = latex
 
 # where should the .sty and .tfm files go?
 TEXMFROOT=$(HOME)/Library/texmf
@@ -14,13 +15,13 @@ DESTTFM=$(TEXMFROOT)/fonts/tfm/public/skak/
 DESTSOURCE=$(TEXMFROOT)/fonts/source/public/skak/
 DESTDOC=$(TEXMFROOT)/doc/latex/skak/
 MFSKAKBASE= mf/skakbrikker.mf mf/skakbase.mf mf/skakinf.mf 
-SKAKMACROS= skak10.600pk skak15.600pk skak20.600pk skak30.600pk skakf10.600pk skakf10b.600pk tex/skak.sty tex/lambda.sty 
+SKAKMACROS= skak10.600pk skak15.600pk skak20.600pk skak30.600pk skakf10.600pk skakf10b.600pk tex/skak.sty
 
 .SUFFIXES: .dvi .ps .600gf .600pk
 
 all: fonts doc
 
-doc: skakdoc.ps tuggame.ps refman.ps informator.ps
+doc: skakdoc.pdf tuggame.pdf refman.pdf informator.pdf
 
 fonts: skak10.600pk skak15.600pk skak20.600pk skak30.600pk skakf10.600pk skakf10b.600pk 
 
@@ -44,27 +45,30 @@ skakinf.mf: mf/skakinf.mf
 
 skakdoc.dvi: doc/skakdoc.tex $(SKAKMACROS)
 	(cp tex/*.sty .; \
-	 latex "\batchmode\input doc/skakdoc.tex" \
-	 latex "\batchmode\input doc/skakdoc.tex")
+	 ${LATEX} "\batchmode\input doc/skakdoc.tex" \
+	 ${LATEX} "\batchmode\input doc/skakdoc.tex")
 
 tuggame.dvi: doc/tuggame.tex $(SKAKMACROS) 
 	(cp tex/*.sty .; \
-	 latex "\batchmode\input doc/tuggame.tex" \
-	 latex "\batchmode\input doc/tuggame.tex")
+	 ${LATEX} "\batchmode\input doc/tuggame.tex" \
+	 ${LATEX} "\batchmode\input doc/tuggame.tex")
 
 refman.dvi: doc/refman.tex $(SKAKMACROS) 
 	(cp tex/*.sty .; \
-	 latex "\batchmode\input doc/refman.tex" \
-	 latex "\batchmode\input doc/refman.tex")
+	 ${LATEX} "\batchmode\input doc/refman.tex" \
+	 ${LATEX} "\batchmode\input doc/refman.tex")
 
 informator.dvi: doc/informator.tex $(SKAKMACROS) 
 	(cp tex/*.sty .; \
-	 latex "\batchmode\input doc/informator.tex" \
-	 latex "\batchmode\input doc/informator.tex")
+	 ${LATEX} "\batchmode\input doc/informator.tex" \
+	 ${LATEX} "\batchmode\input doc/informator.tex")
 
 
-.dvi.ps : 
-	dvips -o $@ $<
+%.pdf:	%.dvi
+	dvipdf $<
+
+.dvi.pdf : 
+	dvipdf -o $@ $<
 
 .600gf.600pk:
 	gftopk $<
@@ -89,6 +93,12 @@ skakf10b.tfm skakf10b.600gf: mf/skakf10b.mf $(MFSKAKBASE) skakbase
 	(mf "\mode:=localfont; input mf/skakf10b")
 
 install: fonts doc
+	install -d ${DESTPK}
+	install -d ${DESTGF}
+	install -d ${DESTTFM}
+	install -d ${DESTSOURCE}
+	install -d ${INPUTS}
+	install -d ${DESTDOC}
 	install   skak*.600pk $(DESTPK)
 	install   skak*.600gf $(DESTGF)
 	install   skak*.tfm   $(DESTTFM)
@@ -99,7 +109,6 @@ install: fonts doc
 	@echo "Remember to run texhash!"
 clean:
 	rm -f *gf *pk *.ps *.dvi *.aux *.log *.tfm *.mf *.fd *.sty *.toc
-
-
+	rm -f test/*.dvi test/*.log test/*.aux
 
 
diff --git a/Master/texmf-dist/doc/latex/skak/refman.pdf b/Master/texmf-dist/doc/latex/skak/refman.pdf
deleted file mode 100644
index 098140006d5..00000000000
--- a/Master/texmf-dist/doc/latex/skak/refman.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/skak/refman.ps b/Master/texmf-dist/doc/latex/skak/refman.ps
new file mode 100644
index 00000000000..e273f763c38
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/refman.ps
@@ -0,0 +1,6586 @@
+%!PS-Adobe-2.0
+%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software
+%%Title: refman.dvi
+%%CreationDate: Thu Jul 18 23:26:37 2013
+%%Pages: 3
+%%PageOrder: Ascend
+%%Orientation: Landscape
+%%BoundingBox: 0 0 596 842
+%%DocumentFonts: CMTT10 CMBX10 CMSSBX10 CMSY10 CMR10 CMSSI10 CMTI10
+%%+ CMMI10 SkakNew-Figurine
+%%DocumentPaperSizes: a4
+%%EndComments
+%DVIPSWebPage: (www.radicaleye.com)
+%DVIPSCommandLine: dvips -o refman.ps refman.dvi
+%DVIPSParameters: dpi=600
+%DVIPSSource:  TeX output 2013.07.18:2326
+%%BeginProcSet: tex.pro 0 0
+%!
+/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
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+
+%%EndProcSet
+%%BeginProcSet: pstricks.pro 0 0
+% $Id: pstricks.pro 647 2012-02-12 15:03:40Z herbert $
+%
+%% PostScript prologue for pstricks.tex.
+%% Version 1.12, 2012/02/12
+%%
+%% 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.
+%
+%
+% Define the follwing gs-functions if not known, eg when using distiller
+%
+systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if
+systemdict /.setblendmode known not {/.setblendmode { pop } def } if
+systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
+%
+/tx@Dict 200 dict def 				% the main PSTricks dictionary
+tx@Dict begin
+/ADict 25 dict def				% The arrow dictionaray
+/CM { matrix currentmatrix } bind def
+/SLW /setlinewidth load def
+/CLW /currentlinewidth load def
+/CP /currentpoint load def
+/ED { exch def } bind def
+/L /lineto load def
+/T /translate load def
+/TMatrix { } def
+/RAngle { 0 } def
+/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def  % return 0 for negative arguments 
+/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
+/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
+/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
+/tan { dup cos abs 1.e-10 lt 
+  { pop 1.e10 } 				% return 1.e10 as infinit
+  { dup sin exch cos div } ifelse 		% default sin/cos
+} def
+/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
+/Acos {dup dup mul neg 1 add dup 0 lt {		% arc cos, returns 0 when negative root
+  pop pop 0 }{ sqrt exch atan} ifelse } def
+/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
+/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, expects 2 parameter
+/Pyth2 {					% Pythagoras, xA yA xB yB
+  3 -1 roll 		% xA xB yB yA
+  sub			% xA xB yB-yA
+  3 1 roll 		% yB-yA xA xB
+  sub			% yB-yA xA-xB
+  Pyth } def
+/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
+/Rand { rand 4294967295 div } def		% a real random number
+%----------------- hv added 20050516 ---------------
+/PiDiv2 1.57079632680 def
+/Pi 3.14159265359 def 
+/TwoPi 6.28318530718 def
+/Euler 2.71828182846 def 
+%/e Euler bind def
+%
+/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
+/DegtoRad { Pi mul 180 div } bind def 		% viceversa
+%----------------- hv end---------------------------
+/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
+%
+/PathLength { 
+  flattenpath /z 0 def 
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
+  { /y ED /x ED PathLength@ } 
+  {} 
+  { /y y2 def /x x2 def PathLength@ }
+  /pathforall load stopped { pop pop pop pop } if 
+  z 
+} def
+%
+/STP { .996264 dup scale } def			% BP/PT scaling
+/STV { SDict begin normalscale end STP  } def	% 
+%
+/DashLine {
+    dup 0 gt
+    { /a .5 def PathLength exch div }
+    { pop /a 1 def PathLength } ifelse
+    /b ED % pattern should fit evenly in b
+    dup /X ED % pattern array
+    0 get /y ED % length of first black segment
+    /z 0 X {add} forall def % length of the full pattern
+    %% Computation of the scaling factor as described by van Zandt:
+    b a .5 sub 2 mul y mul sub z Div round
+    z mul a .5 sub 2 mul y mul add b exch Div
+    %%%% scaling factor on stack.
+    /z ED %% now, z is the scaling factor
+    false % for the length test below
+    X { z mul } forall X astore %% modification TN 04-08-07
+    %%% Checking whether at least one dash in X has positive length:
+    {0 gt or} forall
+    { X 1 a sub y mul }
+    { [ 1 0 ] 0 }
+    ifelse
+    setdash stroke
+} def
+%
+/DotLine { 
+  /b PathLength def 
+  /a ED /z ED /y CLW def 
+  /z y z add def 
+  a 0 gt { 
+    /b b a div def 
+  }{ 
+    a 0 eq { 
+      /b b y sub def 
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+      /b b y add def } if 
+    } ifelse 
+  } ifelse 
+  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
+  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
+  setdash 1 setlinecap stroke 
+} def
+%
+/SymbolLine {   % on stack [ x y x y ...
+  counttomark 					% number of elements
+  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
+
+    %% for negative SymStep we calculate the distance 
+    SymStep 0 lt 
+      { %XYLength SymStep div abs cvi 
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+      { /nSym XYLength SymStep div cvi def }
+    ifelse
+    0.5 setflat
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+    /deltaX XLength nSym div def
+    /deltaY YLength nSym div def
+    curveticks 
+      { XA YA moveto }
+      { XA Shift sub YA Shift sub moveto }
+    ifelse 
+    nSym { 
+      gsave 
+      curveticks 
+        { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+          currentpoint translate rotAngle rotate 
+          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+          SymbolLinewidth setlinewidth stroke
+        }
+        { 
+          rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+          Symbol show 
+        }
+      ifelse 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+    /YA YB def /XA XB def
+  } repeat 
+  curveticks 
+    { XA YA moveto }
+    { XA Shift sub YA Shift sub moveto }
+  ifelse 
+  gsave 
+  curveticks 
+    { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+      XA YA translate rotAngle rotate 
+      0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+      SymbolLinewidth setlinewidth stroke
+    }
+    { 
+      rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+    }
+  ifelse 
+  grestore
+  pop 				% delete the mark symbol
+} def
+%
+/LineFill { % hv ------------ patch 7 -------------
+  gsave 
+  abs /hatchWidthInc ED
+  abs /hatchSepInc ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  2 setlinecap 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  x2 x1 sub 1 add { 
+    x1 a mul y1 moveto 0 y2 rlineto stroke 
+    /x1 x1 1 add 
+      hatchWidthInc 0 gt { CLW add } if 
+    def 
+    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
+      /a a hatchSepInc add def
+      CLW hatchWidthInc add SLW 
+    } if
+  } repeat 
+  grestore 
+  pop pop } def
+%
+/DotFill {%	 on stack: dot radius
+  /dotRadius ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform 
+  pathbbox % llx lly urx ury of smallest bounding box
+  /y2 ED /x2 ED /y1 ED /x1 ED 
+  y2 y1 sub a div 2 add cvi /Ny ED
+  x2 x1 sub a div 2 add cvi /Nx ED
+  clip 
+  newpath 
+  /yA y1 dotRadius add CLW add def
+  /xA0 x1 dotRadius add CLW add def
+  Ny {
+     /xA xA0 def
+     Nx { 
+       newpath 
+       xA yA dotRadius 0 360 arc 
+       SolidDot { gsave fill grestore } if 
+       stroke
+       xA a add /xA ED
+     } repeat
+     yA a add /yA ED
+  } repeat
+  grestore
+} def
+%
+/PenroseFill {%	 on stack: scaling factor
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
+ { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
+  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
+  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
+  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
+  grestore 
+  pop pop 
+} def
+%
+/TruchetFill { %	 on stack: scaling factor
+  10 dict begin
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /ma a neg def
+  /ha a 2 div def 
+  /mha ha neg def
+  /tile { 
+    rand dup 2 idiv 2 mul eq { 90 rotate } if
+    mha mha moveto ha mha lineto
+    ha ha lineto mha ha lineto
+%    closepath .1 setlinewidth stroke
+    contents
+  } def
+  /contents{ 
+    0 ha moveto ha 0 lineto
+    0 mha moveto mha 0 lineto
+%    1 setlinewidth stroke
+  } def
+  /dotiling {
+    f ma mul a f a mul { 
+      /i exch def
+      f ma mul a f a mul { 
+        /j exch def
+        gsave i j translate
+        tile stroke grestore
+      } for
+    } for
+  } def
+%
+  /f 3 def 
+  5 srand dotiling 
+  end % local user dict
+} def
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
+  gsave 
+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow { 
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /a ED 
+  { 0 h T 1 -1 scale } if 
+  w neg h moveto 
+  0 0 L w h L w neg a neg rlineto 
+  gsave fill grestore 
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
+  { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% 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 >
+  w 9 div        h 3 div  
+  w 9 div 4 mul  h 3 div 2 mul
+  w h curveto % upper left of >
+  w neg Inset neg rlineto % move to x=0 and inset
+  gsave fill grestore 
+} def 
+%
+/Tbar { 
+  CLW mul add /z ED 
+  z -2 div CLW 2 div moveto 
+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
+  CLW mul add dup CLW sub 2 div 
+  /x ED mul CLW add /y ED /z CLW 2 div def 
+  x neg y moveto 
+  x neg CLW 2 div L x CLW 2 div L x y L stroke 
+  0 CLW moveto 
+} def
+%
+/RoundBracket { 
+  CLW mul add dup 2 div 
+  /x ED mul /y ED /mtrx CM def 
+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
+  1 1 moveto 
+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
+  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
+  /b ED 				% the color definition
+  0 z DS SD 
+  b { 0 z DS CLW sub SD } if 
+  0 DS z add CLW 4 div sub 
+  moveto 
+} def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+  load } if ] cvx newpath 3 1 roll T exec } def
+%
+/NArray { % 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 
+} def
+%
+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
+} def
+%
+/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
+  and { pop pop /n n 1 sub def } if 
+} def
+%
+/Polygon { 
+  NArray n 2 eq { 0 0 /n 3 def } if 
+  n 3 lt 
+    { n { pop pop } repeat } 
+    { n 3 gt { CheckClosed } if 
+      n 2 mul -2 roll 
+      /y0 ED /x0 ED /y1 ED /x1 ED  
+      x1 y1 
+      /x1 x0 x1 add 2 div def 
+      /y1 y0 y1 add 2 div def 
+      x1 y1 moveto 
+      /n n 2 sub def 
+      n { Lineto } repeat 
+      x1 y1 x0 y0 6 4 roll Lineto
+      Lineto pop pop closepath } ifelse 
+} def
+%
+/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
+    /nSym XYLength SymStep Div cvi def
+    /Shift Symbol stringwidth pop 2 Div def 
+    /deltaX XLength nSym Div def
+    /deltaY YLength nSym Div def
+    XA Shift sub YA Shift sub moveto 
+    nSym { 
+      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+%    XB Shift sub YB Shift sub moveto Symbol show
+    /YA YB def /XA XB def
+  } repeat 
+  pop	% delete the mark symbol
+} def
+%
+/Diamond { 
+  /mtrx CM def 
+  T rotate 
+  /h ED 
+  /w ED 
+  dup 0 eq { pop } { CLW mul neg 
+    /d ED 
+    /a w h Atan def 
+    /h d a sin Div h add def 
+    /w d a cos Div w add def } ifelse 
+  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
+  closepath mtrx setmatrix } def
+%
+/Triangle { 
+  /mtrx CM def 
+  translate 
+  rotate /h ED 2 div /w ED 
+  dup CLW mul /d ED 
+  /h h d w h Atan sin Div sub def 
+  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
+  mark 
+  0 d w neg d 0 h w d 0 d 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false 
+  Line 
+  closepath 
+  mtrx
+% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+  setmatrix pop 
+} def
+% DG/SR modification end
+%
+/CCA { 
+  /y ED /x ED 
+  2 copy y sub /dy1 ED 
+  x sub /dx1 ED 
+  /l1 dx1 dy1 Pyth def 
+} def
+%
+/CC { 
+  /l0 l1 def 
+  /x1 x dx sub def 
+  /y1 y dy sub def 
+  /dx0 dx1 def 
+  /dy0 dy1 def 
+  CCA 
+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
+  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
+  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
+  /x2 x l0 dx mul m mul sub def
+  /y2 y l0 dy mul m mul sub def 
+  /dx l1 dx mul m mul neg def 
+  /dy l1 dy mul m mul neg def 
+} def
+%
+/IC { 
+  /c c 1 add def 
+  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
+  /a a 2 mul 3 div 45 cos b exp div def 
+  CCA 
+  /dx 0 def 
+  /dy 0 def 
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
+} def
+%
+/CurvePath { 
+  %% for negative SymStep we calculate the distance 
+  SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
+  0.5 setflat
+  flattenpath /z 0 def /z0 0 def
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def 
+    x1 Shift sub y1 Shift sub moveto 
+    gsave 
+    curveticks 
+      { x1 y1 translate startAngle rotate 
+        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+        SymbolLinewidth setlinewidth stroke      
+      }
+      { startAngle rotate Symbol show }
+    ifelse 
+    grestore /z0 z def }
+  { /y ED /x ED PathLength@ z z0 sub SymStep ge {
+      x Shift sub y Shift sub moveto 
+      gsave 
+      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
+roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
+GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
+begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
+cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
+} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
+%
+/NCAngles { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform pop 
+  xB2 yB2 mtrx transform exch pop 
+  mtrx itransform 
+  /y0 ED /x0 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA2 yA2 
+  ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def } def
+%
+/NCAngle { 
+  GetEdgeA GetEdgeB GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
+  /y0 ED /x0 ED 
+  mark 
+  ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA1 yA1
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
+%
+/NCBar { 
+  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 
+    { /yB2 exch yB2 add def /xB2 exch xB2 add def }
+    { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse 
+  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
+    /dY1 yTemp yA2 sub def
+    /dX1 xTemp xA2 sub def
+    /dY2 yB2 yB1 sub def
+    /dX2 xB2 xB1 sub def
+    dX1 abs 0.01 lt {
+      /m2 dY2 dX2 div def
+      /xB2 xA2 def
+      /yB2 xA2 xB1 sub m2 mul yB1 add def
+    }{
+      dX2 abs 0.01 lt {
+        /m1 dY1 dX1 div def
+        /xB2 xB1 def
+        /yB2 xB1 xA2 sub m1 mul yA2 add def
+      }{%
+        /m1 dY1 dX1 div def
+        /m2 dY2 dX2 div def
+        /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
+        /yB2 xB2 xA2 sub m1 mul yA2 add def
+      } ifelse
+    } ifelse
+  } if
+  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 
+} def
+%
+/NCDiagg { 
+  /lineAngle ED
+  GetEdgeA GetArmA 
+  lineAngle abs 0 gt 
+    { lineAngle }
+    { yB yA2 sub xB xA2 sub Atan 180 add } ifelse 
+  /AngleB ED
+  GetEdgeB mark
+  lineAngle abs 0 gt {
+    /dY2 yA2 yA1 sub def
+    /dX2 xA2 xA1 sub def
+    lineAngle abs 90 eq {
+      /m2 dY2 dX2 div def
+      /yA2 xB xA2 sub m2 mul yA2 add def
+      /xA2 xB def
+    }{
+      /m1 lineAngle dup sin exch cos div def % tan alpha
+      dX2 abs 0.01 lt {
+        /yA2 xA1 xB sub m1 mul yB add def
+        /xA2 xA1 def
+      }{%
+        /m2 dY2 dX2 div def
+        /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def
+        /yA2 xA2 xB sub m1 mul yB add def
+      } ifelse
+    } ifelse
+  } if
+  xB1 yB1 xA2 yA2
+  ArmA 0 ne { xA1 yA1 } if
+  tx@Dict begin false Line end
+  /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def
+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def
+  /VPutPos { VPutLines } def
+%
+%  GetEdgeA GetArmA 
+%  yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
+%  GetEdgeB 
+%  mark 
+%  xB1 yB1 xA2 yA2 
+%  ArmA 0 ne { xA1 yA1 } if 
+%  tx@Dict begin false Line end 
+%  /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def 
+%  /LPutPos { LPutLines } def 
+%  /HPutPos { HPutLines } def 
+%  /VPutPos { VPutLines } def 
+} def
+%
+/NCLoop { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED 
+  /xB3 xB2 yB2 mtrx transform pop def 
+  xB3 yA3 mtrx itransform /yB3 ED /xB3 ED 
+  xA3 yA3 mtrx itransform /yA3 ED /xA3 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
+%
+% DG/SR modification begin - May 9, 1997 - Patch 1
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+%%Title: CMMI10
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+%%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 CMMI10.
+% 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: 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
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+{save true}{false}ifelse}{false}ifelse
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+/FontName /CMTI10 def
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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 CMTI10.) readonly def
+/FullName (CMTI10) readonly def
+/FamilyName (Computer Modern) readonly def
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+end readonly def
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+0 1 255 {1 index exch /.notdef put} for
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+%%EndFont 
+%%BeginFont: CMSSI10
+%!PS-AdobeFont-1.0: CMSSI10 003.002
+%%Title: CMSSI10
+%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 CMSSI10.
+% 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/CMSSI10 known{/CMSSI10 findfont dup/UniqueID known{dup
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+{save true}{false}ifelse}{false}ifelse
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+/FontType 1 def
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+/FontName /CMSSI10 def
+/FontBBox {-97 -250 1077 759 }readonly def
+/UniqueID 5000810 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 CMSSI10.) readonly def
+/FullName (CMSSI10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
+/ItalicAngle -12 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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+readonly def
+currentdict end
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+%%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
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+{save true}{false}ifelse}{false}ifelse
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+/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
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+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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+%%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
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+/FullName (CMSY10) readonly def
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+%%BeginFont: CMSSBX10
+%!PS-AdobeFont-1.0: CMSSBX10 003.002
+%%Title: CMSSBX10
+%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 CMSSBX10.
+% 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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+/FontName /CMSSBX10 def
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+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMSSBX10.) readonly def
+/FullName (CMSSBX10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Bold) readonly def
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+/UnderlinePosition -100 def
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+end readonly def
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+%%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
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+/FontName /CMBX10 def
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+/FullName (CMBX10) readonly def
+/FamilyName (Computer Modern) readonly def
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+end readonly def
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+%%EndFont 
+%%BeginFont: CMTT10
+%!PS-AdobeFont-1.0: CMTT10 003.002
+%%Title: CMTT10
+%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 CMTT10.
+% 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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+{save true}{false}ifelse}{false}ifelse
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+/FontName /CMTT10 def
+/FontBBox {-4 -233 537 696 }readonly def
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+/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 CMTT10.) readonly def
+/FullName (CMTT10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/isFixedPitch true def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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+dup 45 /hyphen put
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+452 1262 a Fg(P)m(ack)m(age)37 b(options)452 1398 y Fh(ps)i
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+g(w)n(ork:)452 1597 y Ff(n)p Fh(sho)m(wmoverOn)p Fe(,)26
+b Ff(n)p Fh(p)m(rinta)m(rro)m(w)q Fe(,)h Ff(n)p Fh(highlight)p
+Fe(,)e Ff(n)p Fh(p)m(rintknightmove)p Fe(.)452 1718 y
+Fh(pso\013)34 b Fe(Do)r(es)27 b Fc(not)36 b Fe(include)28
+b(the)g Fj(ps-tricks)c Fe(pac)n(k)-5 b(age.)452 1838
+y Fh(mover)29 b Fe(Issues)e(the)h Ff(n)p Fh(sho)m(wmoveOn)d
+Fe(command.)452 1959 y Fh(movero\013)34 b Fe(Issues)27
+b(the)h Ff(n)p Fh(sho)m(wmoveOn)d Fe(command.)452 2080
+y Fh(notation)g Fe(Issues)i(the)h Ff(n)p Fh(notationOn)c
+Fe(command.)452 2201 y Fh(english)41 b Fe(Mak)n(es)f(english)h(the)h
+(preferred)e(input)i(language)d(|)i(the)h(only)452 2301
+y(de\014ned)28 b(language)e(at)i(the)g(momen)n(t.)452
+2421 y Fh(st)m(yleA)g Fe(Cho)r(oses)f Ff(n)p Fh(st)m(yleA)g
+Fe(st)n(yle)g(for)g(the)h(t)n(yp)r(esetting)g(of)f(mo)n(v)n(es.)452
+2542 y Fh(st)m(yleB)h Fe(Cho)r(oses)f Ff(n)p Fh(st)m(yleB)g
+Fe(st)n(yle)g(for)g(the)h(t)n(yp)r(esetting)g(of)f(mo)n(v)n(es.)452
+2663 y Fh(st)m(yleC)i Fe(Cho)r(oses)d Ff(n)p Fh(st)m(yleC)i
+Fe(st)n(yle)f(for)g(the)h(t)n(yp)r(esetting)g(of)f(mo)n(v)n(es.)452
+2784 y Fh(tiny)h Fe(The)g(b)r(oard)f(is)g(sho)n(wn)g(using)g(the)h(tin)
+n(y)g(size)f(fon)n(t.)452 2905 y Fh(small)h Fe(The)g(b)r(oard)e(is)i
+(sho)n(wn)f(using)g(the)h(small)f(size)h(fon)n(t.)452
+3025 y Fh(no)m(rmal)f Fe(The)h(b)r(oard)f(is)g(sho)n(wn)g(using)g(the)h
+(normal)f(size)g(fon)n(t.)452 3146 y Fh(la)m(rge)h Fe(The)g(b)r(oard)f
+(is)g(sho)n(wn)g(using)g(the)h(large)e(size)i(fon)n(t.)452
+3352 y(The)20 b(default)h(options)e(are)g Fh(notation,)i(no)m(rmal,)i
+(pso\013,)h(english,)g(movero\013,)452 3452 y(st)m(yleB)p
+Fe(.)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray 2887
+3717 a(3)p 0 TeXcolorgray eop end
+%%Trailer
+
+userdict /end-hook known{end-hook}if
+%%EOF
diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.pdf b/Master/texmf-dist/doc/latex/skak/skakdoc.pdf
deleted file mode 100644
index 0f40b14f9fb..00000000000
--- a/Master/texmf-dist/doc/latex/skak/skakdoc.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.ps b/Master/texmf-dist/doc/latex/skak/skakdoc.ps
new file mode 100644
index 00000000000..970718088c3
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/skakdoc.ps
@@ -0,0 +1,13426 @@
+%!PS-Adobe-2.0
+%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software
+%%Title: skakdoc.dvi
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+%%BeginProcSet: tex.pro 0 0
+%!
+/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
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+
+%%EndProcSet
+%%BeginProcSet: pstricks.pro 0 0
+% $Id: pstricks.pro 647 2012-02-12 15:03:40Z herbert $
+%
+%% PostScript prologue for pstricks.tex.
+%% Version 1.12, 2012/02/12
+%%
+%% 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.
+%
+%
+% Define the follwing gs-functions if not known, eg when using distiller
+%
+systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if
+systemdict /.setblendmode known not {/.setblendmode { pop } def } if
+systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
+%
+/tx@Dict 200 dict def 				% the main PSTricks dictionary
+tx@Dict begin
+/ADict 25 dict def				% The arrow dictionaray
+/CM { matrix currentmatrix } bind def
+/SLW /setlinewidth load def
+/CLW /currentlinewidth load def
+/CP /currentpoint load def
+/ED { exch def } bind def
+/L /lineto load def
+/T /translate load def
+/TMatrix { } def
+/RAngle { 0 } def
+/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def  % return 0 for negative arguments 
+/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
+/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
+/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
+/tan { dup cos abs 1.e-10 lt 
+  { pop 1.e10 } 				% return 1.e10 as infinit
+  { dup sin exch cos div } ifelse 		% default sin/cos
+} def
+/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
+/Acos {dup dup mul neg 1 add dup 0 lt {		% arc cos, returns 0 when negative root
+  pop pop 0 }{ sqrt exch atan} ifelse } def
+/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
+/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, expects 2 parameter
+/Pyth2 {					% Pythagoras, xA yA xB yB
+  3 -1 roll 		% xA xB yB yA
+  sub			% xA xB yB-yA
+  3 1 roll 		% yB-yA xA xB
+  sub			% yB-yA xA-xB
+  Pyth } def
+/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
+/Rand { rand 4294967295 div } def		% a real random number
+%----------------- hv added 20050516 ---------------
+/PiDiv2 1.57079632680 def
+/Pi 3.14159265359 def 
+/TwoPi 6.28318530718 def
+/Euler 2.71828182846 def 
+%/e Euler bind def
+%
+/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
+/DegtoRad { Pi mul 180 div } bind def 		% viceversa
+%----------------- hv end---------------------------
+/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
+%
+/PathLength { 
+  flattenpath /z 0 def 
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
+  { /y ED /x ED PathLength@ } 
+  {} 
+  { /y y2 def /x x2 def PathLength@ }
+  /pathforall load stopped { pop pop pop pop } if 
+  z 
+} def
+%
+/STP { .996264 dup scale } def			% BP/PT scaling
+/STV { SDict begin normalscale end STP  } def	% 
+%
+/DashLine {
+    dup 0 gt
+    { /a .5 def PathLength exch div }
+    { pop /a 1 def PathLength } ifelse
+    /b ED % pattern should fit evenly in b
+    dup /X ED % pattern array
+    0 get /y ED % length of first black segment
+    /z 0 X {add} forall def % length of the full pattern
+    %% Computation of the scaling factor as described by van Zandt:
+    b a .5 sub 2 mul y mul sub z Div round
+    z mul a .5 sub 2 mul y mul add b exch Div
+    %%%% scaling factor on stack.
+    /z ED %% now, z is the scaling factor
+    false % for the length test below
+    X { z mul } forall X astore %% modification TN 04-08-07
+    %%% Checking whether at least one dash in X has positive length:
+    {0 gt or} forall
+    { X 1 a sub y mul }
+    { [ 1 0 ] 0 }
+    ifelse
+    setdash stroke
+} def
+%
+/DotLine { 
+  /b PathLength def 
+  /a ED /z ED /y CLW def 
+  /z y z add def 
+  a 0 gt { 
+    /b b a div def 
+  }{ 
+    a 0 eq { 
+      /b b y sub def 
+    }{ a -3 eq { 
+      /b b y add def } if 
+    } ifelse 
+  } ifelse 
+  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
+  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
+  setdash 1 setlinecap stroke 
+} def
+%
+/SymbolLine {   % on stack [ x y x y ...
+  counttomark 					% number of elements
+  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
+
+    %% for negative SymStep we calculate the distance 
+    SymStep 0 lt 
+      { %XYLength SymStep div abs cvi 
+        /nSym SymStep abs cvi def } 
+      { /nSym XYLength SymStep div cvi def }
+    ifelse
+    0.5 setflat
+    /Shift Symbol stringwidth pop 2 div def 
+    /deltaX XLength nSym div def
+    /deltaY YLength nSym div def
+    curveticks 
+      { XA YA moveto }
+      { XA Shift sub YA Shift sub moveto }
+    ifelse 
+    nSym { 
+      gsave 
+      curveticks 
+        { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+          currentpoint translate rotAngle rotate 
+          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+          SymbolLinewidth setlinewidth stroke
+        }
+        { 
+          rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+          Symbol show 
+        }
+      ifelse 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+    /YA YB def /XA XB def
+  } repeat 
+  curveticks 
+    { XA YA moveto }
+    { XA Shift sub YA Shift sub moveto }
+  ifelse 
+  gsave 
+  curveticks 
+    { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+      XA YA translate rotAngle rotate 
+      0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+      SymbolLinewidth setlinewidth stroke
+    }
+    { 
+      rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+    }
+  ifelse 
+  grestore
+  pop 				% delete the mark symbol
+} def
+%
+/LineFill { % hv ------------ patch 7 -------------
+  gsave 
+  abs /hatchWidthInc ED
+  abs /hatchSepInc ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  2 setlinecap 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  x2 x1 sub 1 add { 
+    x1 a mul y1 moveto 0 y2 rlineto stroke 
+    /x1 x1 1 add 
+      hatchWidthInc 0 gt { CLW add } if 
+    def 
+    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
+      /a a hatchSepInc add def
+      CLW hatchWidthInc add SLW 
+    } if
+  } repeat 
+  grestore 
+  pop pop } def
+%
+/DotFill {%	 on stack: dot radius
+  /dotRadius ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform 
+  pathbbox % llx lly urx ury of smallest bounding box
+  /y2 ED /x2 ED /y1 ED /x1 ED 
+  y2 y1 sub a div 2 add cvi /Ny ED
+  x2 x1 sub a div 2 add cvi /Nx ED
+  clip 
+  newpath 
+  /yA y1 dotRadius add CLW add def
+  /xA0 x1 dotRadius add CLW add def
+  Ny {
+     /xA xA0 def
+     Nx { 
+       newpath 
+       xA yA dotRadius 0 360 arc 
+       SolidDot { gsave fill grestore } if 
+       stroke
+       xA a add /xA ED
+     } repeat
+     yA a add /yA ED
+  } repeat
+  grestore
+} def
+%
+/PenroseFill {%	 on stack: scaling factor
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
+ { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
+  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
+  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
+  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
+  grestore 
+  pop pop 
+} def
+%
+/TruchetFill { %	 on stack: scaling factor
+  10 dict begin
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /ma a neg def
+  /ha a 2 div def 
+  /mha ha neg def
+  /tile { 
+    rand dup 2 idiv 2 mul eq { 90 rotate } if
+    mha mha moveto ha mha lineto
+    ha ha lineto mha ha lineto
+%    closepath .1 setlinewidth stroke
+    contents
+  } def
+  /contents{ 
+    0 ha moveto ha 0 lineto
+    0 mha moveto mha 0 lineto
+%    1 setlinewidth stroke
+  } def
+  /dotiling {
+    f ma mul a f a mul { 
+      /i exch def
+      f ma mul a f a mul { 
+        /j exch def
+        gsave i j translate
+        tile stroke grestore
+      } for
+    } for
+  } def
+%
+  /f 3 def 
+  5 srand dotiling 
+  end % local user dict
+} def
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
+  gsave 
+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow { 
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /a ED 
+  { 0 h T 1 -1 scale } if 
+  w neg h moveto 
+  0 0 L w h L w neg a neg rlineto 
+  gsave fill grestore 
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
+  { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% 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 >
+  w 9 div        h 3 div  
+  w 9 div 4 mul  h 3 div 2 mul
+  w h curveto % upper left of >
+  w neg Inset neg rlineto % move to x=0 and inset
+  gsave fill grestore 
+} def 
+%
+/Tbar { 
+  CLW mul add /z ED 
+  z -2 div CLW 2 div moveto 
+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
+  CLW mul add dup CLW sub 2 div 
+  /x ED mul CLW add /y ED /z CLW 2 div def 
+  x neg y moveto 
+  x neg CLW 2 div L x CLW 2 div L x y L stroke 
+  0 CLW moveto 
+} def
+%
+/RoundBracket { 
+  CLW mul add dup 2 div 
+  /x ED mul /y ED /mtrx CM def 
+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
+  1 1 moveto 
+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
+  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
+  /b ED 				% the color definition
+  0 z DS SD 
+  b { 0 z DS CLW sub SD } if 
+  0 DS z add CLW 4 div sub 
+  moveto 
+} def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+  load } if ] cvx newpath 3 1 roll T exec } def
+%
+/NArray { % 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 
+} def
+%
+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
+} def
+%
+/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
+  and { pop pop /n n 1 sub def } if 
+} def
+%
+/Polygon { 
+  NArray n 2 eq { 0 0 /n 3 def } if 
+  n 3 lt 
+    { n { pop pop } repeat } 
+    { n 3 gt { CheckClosed } if 
+      n 2 mul -2 roll 
+      /y0 ED /x0 ED /y1 ED /x1 ED  
+      x1 y1 
+      /x1 x0 x1 add 2 div def 
+      /y1 y0 y1 add 2 div def 
+      x1 y1 moveto 
+      /n n 2 sub def 
+      n { Lineto } repeat 
+      x1 y1 x0 y0 6 4 roll Lineto
+      Lineto pop pop closepath } ifelse 
+} def
+%
+/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
+    /nSym XYLength SymStep Div cvi def
+    /Shift Symbol stringwidth pop 2 Div def 
+    /deltaX XLength nSym Div def
+    /deltaY YLength nSym Div def
+    XA Shift sub YA Shift sub moveto 
+    nSym { 
+      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+%    XB Shift sub YB Shift sub moveto Symbol show
+    /YA YB def /XA XB def
+  } repeat 
+  pop	% delete the mark symbol
+} def
+%
+/Diamond { 
+  /mtrx CM def 
+  T rotate 
+  /h ED 
+  /w ED 
+  dup 0 eq { pop } { CLW mul neg 
+    /d ED 
+    /a w h Atan def 
+    /h d a sin Div h add def 
+    /w d a cos Div w add def } ifelse 
+  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
+  closepath mtrx setmatrix } def
+%
+/Triangle { 
+  /mtrx CM def 
+  translate 
+  rotate /h ED 2 div /w ED 
+  dup CLW mul /d ED 
+  /h h d w h Atan sin Div sub def 
+  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
+  mark 
+  0 d w neg d 0 h w d 0 d 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false 
+  Line 
+  closepath 
+  mtrx
+% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+  setmatrix pop 
+} def
+% DG/SR modification end
+%
+/CCA { 
+  /y ED /x ED 
+  2 copy y sub /dy1 ED 
+  x sub /dx1 ED 
+  /l1 dx1 dy1 Pyth def 
+} def
+%
+/CC { 
+  /l0 l1 def 
+  /x1 x dx sub def 
+  /y1 y dy sub def 
+  /dx0 dx1 def 
+  /dy0 dy1 def 
+  CCA 
+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
+  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
+  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
+  /x2 x l0 dx mul m mul sub def
+  /y2 y l0 dy mul m mul sub def 
+  /dx l1 dx mul m mul neg def 
+  /dy l1 dy mul m mul neg def 
+} def
+%
+/IC { 
+  /c c 1 add def 
+  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
+  /a a 2 mul 3 div 45 cos b exp div def 
+  CCA 
+  /dx 0 def 
+  /dy 0 def 
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
+} def
+%
+/CurvePath { 
+  %% for negative SymStep we calculate the distance 
+  SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
+  0.5 setflat
+  flattenpath /z 0 def /z0 0 def
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def 
+    x1 Shift sub y1 Shift sub moveto 
+    gsave 
+    curveticks 
+      { x1 y1 translate startAngle rotate 
+        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+        SymbolLinewidth setlinewidth stroke      
+      }
+      { startAngle rotate Symbol show }
+    ifelse 
+    grestore /z0 z def }
+  { /y ED /x ED PathLength@ z z0 sub SymStep ge {
+      x Shift sub y Shift sub moveto 
+      gsave 
+      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
+roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
+GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
+begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
+cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
+} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
+%
+/NCAngles { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform pop 
+  xB2 yB2 mtrx transform exch pop 
+  mtrx itransform 
+  /y0 ED /x0 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA2 yA2 
+  ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def } def
+%
+/NCAngle { 
+  GetEdgeA GetEdgeB GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
+  /y0 ED /x0 ED 
+  mark 
+  ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA1 yA1
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
+%
+/NCBar { 
+  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 
+    { /yB2 exch yB2 add def /xB2 exch xB2 add def }
+    { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse 
+  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
+    /dY1 yTemp yA2 sub def
+    /dX1 xTemp xA2 sub def
+    /dY2 yB2 yB1 sub def
+    /dX2 xB2 xB1 sub def
+    dX1 abs 0.01 lt {
+      /m2 dY2 dX2 div def
+      /xB2 xA2 def
+      /yB2 xA2 xB1 sub m2 mul yB1 add def
+    }{
+      dX2 abs 0.01 lt {
+        /m1 dY1 dX1 div def
+        /xB2 xB1 def
+        /yB2 xB1 xA2 sub m1 mul yA2 add def
+      }{%
+        /m1 dY1 dX1 div def
+        /m2 dY2 dX2 div def
+        /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
+        /yB2 xB2 xA2 sub m1 mul yA2 add def
+      } ifelse
+    } ifelse
+  } if
+  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 
+} def
+%
+/NCDiagg { 
+  /lineAngle ED
+  GetEdgeA GetArmA 
+  lineAngle abs 0 gt 
+    { lineAngle }
+    { yB yA2 sub xB xA2 sub Atan 180 add } ifelse 
+  /AngleB ED
+  GetEdgeB mark
+  lineAngle abs 0 gt {
+    /dY2 yA2 yA1 sub def
+    /dX2 xA2 xA1 sub def
+    lineAngle abs 90 eq {
+      /m2 dY2 dX2 div def
+      /yA2 xB xA2 sub m2 mul yA2 add def
+      /xA2 xB def
+    }{
+      /m1 lineAngle dup sin exch cos div def % tan alpha
+      dX2 abs 0.01 lt {
+        /yA2 xA1 xB sub m1 mul yB add def
+        /xA2 xA1 def
+      }{%
+        /m2 dY2 dX2 div def
+        /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def
+        /yA2 xA2 xB sub m1 mul yB add def
+      } ifelse
+    } ifelse
+  } if
+  xB1 yB1 xA2 yA2
+  ArmA 0 ne { xA1 yA1 } if
+  tx@Dict begin false Line end
+  /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def
+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def
+  /VPutPos { VPutLines } def
+%
+%  GetEdgeA GetArmA 
+%  yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
+%  GetEdgeB 
+%  mark 
+%  xB1 yB1 xA2 yA2 
+%  ArmA 0 ne { xA1 yA1 } if 
+%  tx@Dict begin false Line end 
+%  /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def 
+%  /LPutPos { LPutLines } def 
+%  /HPutPos { HPutLines } def 
+%  /VPutPos { VPutLines } def 
+} def
+%
+/NCLoop { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED 
+  /xB3 xB2 yB2 mtrx transform pop def 
+  xB3 yA3 mtrx itransform /yB3 ED /xB3 ED 
+  xA3 yA3 mtrx itransform /yA3 ED /xA3 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
+%
+% DG/SR modification begin - May 9, 1997 - Patch 1
+%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r
+%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
+%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
+%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
+%
+/NCCircle { 
+  NodeSepA 0 NodeA 0 GetEdge pop 
+  2 div dup 2 exp r r mul sub abs sqrt 
+  atan 2 mul /a ED 
+  r AngleA 90 add PtoC yA add exch xA add 
+  exch 2 copy 
+  /LPutVar [ 4 2 roll r AngleA ] cvx def 
+  /LPutPos { 
+    LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC 
+    3 -1 roll add 
+    /Y ED add /X ED /NAngle ED
+% DG/SR modification end
+  } def 
+  /HPutPos { LPutPos } def 
+  /VPutPos { LPutPos } def 
+  r AngleA 90 sub a add AngleA 270 add a sub 
+  tx@Dict begin 
+  /angleB ED /angleA ED /r ED 
+  /c 57.2957 r Div def 
+  /y ED /x ED 
+} def
+%
+/NCBox { 
+  /d ED /h ED 
+  /AngleB yB yA sub xB xA sub Atan def 
+  /AngleA AngleB 180 add def 
+  GetEdgeA GetEdgeB 
+  /dx d AngleB sin mul def 
+  /dy d AngleB cos mul neg def 
+  /hx h AngleB sin mul neg def 
+  /hy h AngleB cos mul def 
+  /LPutVar [ 
+    xA1 hx add yA1 hy add xB1 hx add yB1 hy add 
+    xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { xB yB xA yA LPutLine } def 
+  /VPutPos { HPutPos } def 
+  mark 
+  LPutVar tx@Dict begin false Polygon end 
+} def
+%
+/NCArcBox { 
+  /l ED neg /d ED /h ED /a ED 
+  /AngleA yB yA sub xB xA sub Atan def 
+  /AngleB AngleA 180 add def 
+  /tA AngleA a sub 90 add def 
+  /tB tA a 2 mul add def 
+  /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
+  /x0 xA r tA cos mul add def 
+  /y0 yA r tA sin mul add def 
+  /c 57.2958 r div def 
+  /AngleA AngleA a sub 180 add def 
+  /AngleB AngleB a add 180 add def
+  GetEdgeA GetEdgeB 
+  /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def 
+  /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def 
+  l 0 eq { 
+    x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn 
+  }{ 
+    x0 y0 translate 
+    /tA AngleA l c mul add def 
+    /tB AngleB l c mul sub def
+    0 0 r h add tA tB arc r h add 
+    AngleB PtoC r d add 
+    AngleB PtoC 2 copy 
+    6 2 roll l arcto 4 { pop } repeat 
+    r d add tB PtoC l arcto 4 { pop } repeat 
+    0 0 r d add tB tA arcn r d add 
+    AngleA PtoC r h add 
+    AngleA PtoC 2 copy 6 2 roll 
+    l arcto 4 { pop } repeat 
+    r h add tA PtoC l arcto 4 { pop } repeat 
+  } ifelse 
+  closepath 
+  /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def 
+  /LPutPos { 
+    LPutVar /d ED /h ED 
+    /AngleB ED /AngleA ED 
+    /r ED /y0 ED /x0 ED 
+    t 1 le { 
+      r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC 
+    }{t 2 lt { 
+        /NAngle AngleB 180 add def r 2 t sub 
+        h mul t 1 sub d mul add add AngleB PtoC 
+      }{ 
+        t 3 lt { 
+          r d add AngleB 3 t sub mul AngleA 2 t sub
+          mul add dup 90 sub /NAngle ED PtoC 
+        }{ 
+          /NAngle AngleA 180 add def 
+          r 4 t sub d mul t 3 sub h mul add add AngleA PtoC 
+        } ifelse 
+      } ifelse 
+    } ifelse
+    y0 add /Y ED x0 add /X ED 
+  } def 
+  /HPutPos { LPutPos } def 
+  /VPutPos { LPutPos } def 
+} def
+%
+/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB
+sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1
+ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB
+w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
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+%!PS-AdobeFont-1.0: CMITT10 003.002
+%%Title: CMITT10
+%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 CMITT10.
+% 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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+/version (003.002) readonly def
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+/FullName (CMITT10) readonly def
+/FamilyName (Computer Modern) readonly def
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+end readonly def
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+%%EndFont 
+%%BeginFont: CMR8
+%!PS-AdobeFont-1.0: CMR8 003.002
+%%Title: CMR8
+%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 CMR8.
+% 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/CMR8 known{/CMR8 findfont dup/UniqueID known{dup
+/UniqueID get 5000791 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 /CMR8 def
+/FontBBox {-36 -250 1070 750 }readonly def
+/UniqueID 5000791 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 CMR8.) readonly def
+/FullName (CMR8) 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
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+%%Title: CMSY8
+%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 CMSY8.
+% 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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+%%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
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+%%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
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+/FullName (CMR5) readonly def
+/FamilyName (Computer Modern) readonly def
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+%%EndFont 
+%%BeginFont: SkakNew-DiagramT
+%!PS-AdobeFont-1.0: SkakNew-DiagramT 1.004
+%%CreationDate: Mon Feb 02 09:23:05 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-DiagramT) readonly def
+/FamilyName (SkakNew-DiagramT) readonly def
+/ItalicAngle 0 def
+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/Weight (Regular) readonly def
+end readonly def
+/FontName /SkakNew-DiagramT def
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+dup 65 /A put
+dup 66 /B put
+dup 74 /J put
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+dup 110 /n put
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+dup 113 /q put
+dup 114 /r put
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+readonly def
+/PaintType 0 def
+/FontType 1 def
+/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
+/FontBBox {-15 0 1015 1000} readonly def
+currentdict end
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+%%EndFont 
+%%BeginFont: CMSS8
+%!PS-AdobeFont-1.0: CMSS8 003.002
+%%Title: CMSS8
+%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 CMSS8.
+% 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/CMSS8 known{/CMSS8 findfont dup/UniqueID known{dup
+/UniqueID get 5000801 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 /CMSS8 def
+/FontBBox {-65 -250 1062 761 }readonly def
+/UniqueID 5000801 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 CMSS8.) readonly def
+/FullName (CMSS8) 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
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+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 107 /k put
+dup 115 /s put
+readonly def
+currentdict end
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+%!PS-AdobeFont-1.0: SkakNew-Figurine-Bold 001.002
+%%CreationDate: Thu Feb 12 14:57:56 2009
+%%VMusage: 120000 150000
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+end readonly def
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+dup 78 /N put
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+%%EndFont 
+%%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.
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+/version (0.3) def
+/FullName (Computer Modern Roman) def
+/FamilyName (Computer Modern) def
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+/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
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+%%Title: CMSSBX10
+%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 CMSSBX10.
+% 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: CMBX12
+%!PS-AdobeFont-1.0: CMBX12 003.002
+%%Title: CMBX12
+%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 CMBX12.
+% 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/CMBX12 known{/CMBX12 findfont dup/UniqueID known{dup
+/UniqueID get 5000769 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 /CMBX12 def
+/FontBBox {-53 -251 1139 750 }readonly def
+/UniqueID 5000769 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 CMBX12.) readonly def
+/FullName (CMBX12) 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
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+dup 50 /two put
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+dup 118 /v put
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+readonly def
+currentdict end
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+%%EndFont 
+%%BeginFont: CMR7
+%!PS-AdobeFont-1.0: CMR7 003.002
+%%Title: CMR7
+%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 CMR7.
+% 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/CMR7 known{/CMR7 findfont dup/UniqueID known{dup
+/UniqueID get 5000790 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 /CMR7 def
+/FontBBox {-27 -250 1122 750 }readonly def
+/UniqueID 5000790 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 CMR7.) readonly def
+/FullName (CMR7) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+dup 65 /A put
+readonly def
+currentdict end
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+%!PS-AdobeFont-1.0: CMTT10 003.002
+%%Title: CMTT10
+%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 CMTT10.
+% 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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+/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 CMTT10.) readonly def
+/FullName (CMTT10) readonly def
+/FamilyName (Computer Modern) readonly def
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+%%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
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+%!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
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+%%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
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+{save true}{false}ifelse}{false}ifelse
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+/FontType 1 def
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+/FontName /CMBX10 def
+/FontBBox {-56 -250 1164 750 }readonly def
+/UniqueID 5000768 def
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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 CMBX10.) readonly def
+/FullName (CMBX10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Bold) readonly def
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+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
+currentdict end
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+%!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
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+/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 11 /ff put
+dup 12 /fi put
+dup 33 /exclam put
+dup 34 /quotedblright put
+dup 37 /percent put
+dup 39 /quoteright put
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 44 /comma put
+dup 45 /hyphen put
+dup 46 /period put
+dup 47 /slash put
+dup 48 /zero put
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+dup 124 /emdash put
+readonly def
+currentdict end
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+%%EndFont 
+%%BeginFont: CMSS9
+%!PS-AdobeFont-1.0: CMSS9 003.002
+%%Title: CMSS9
+%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 CMSS9.
+% 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/CMSS9 known{/CMSS9 findfont dup/UniqueID known{dup
+/UniqueID get 5000802 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 /CMSS9 def
+/FontBBox {-63 -250 1027 760 }readonly def
+/UniqueID 5000802 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 CMSS9.) readonly def
+/FullName (CMSS9) 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 97 /a put
+dup 107 /k put
+dup 115 /s put
+readonly def
+currentdict end
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+%%EndFont 
+%%BeginFont: CMR6
+%!PS-AdobeFont-1.0: CMR6 003.002
+%%Title: CMR6
+%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 CMR6.
+% 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/CMR6 known{/CMR6 findfont dup/UniqueID known{dup
+/UniqueID get 5000789 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 /CMR6 def
+/FontBBox {-20 -250 1193 750 }readonly def
+/UniqueID 5000789 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 CMR6.) readonly def
+/FullName (CMR6) 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 65 /A put
+readonly def
+currentdict end
+currentfile eexec
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+{restore}if
+%%EndFont 
+%%BeginFont: CMR9
+%!PS-AdobeFont-1.0: CMR9 003.002
+%%Title: CMR9
+%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 CMR9.
+% 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/CMR9 known{/CMR9 findfont dup/UniqueID known{dup
+/UniqueID get 5000792 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 /CMR9 def
+/FontBBox {-39 -250 1036 750 }readonly def
+/UniqueID 5000792 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 CMR9.) readonly def
+/FullName (CMR9) 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 40 /parenleft put
+dup 41 /parenright put
+dup 46 /period put
+dup 69 /E put
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+dup 84 /T put
+dup 88 /X put
+dup 97 /a put
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+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
+readonly def
+currentdict end
+currentfile eexec
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+%%EndFont 
+%%BeginFont: CMBX9
+%!PS-AdobeFont-1.0: CMBX9 003.002
+%%Title: CMBX9
+%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 CMBX9.
+% 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/CMBX9 known{/CMBX9 findfont dup/UniqueID known{dup
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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMBX9 def
+/FontBBox {-58 -250 1195 750 }readonly def
+/UniqueID 5000767 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 CMBX9.) readonly def
+/FullName (CMBX9) 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
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+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
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+%%Title: CMSS17
+%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 CMSS17.
+% 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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+/FullName (CMSS17) readonly def
+/FamilyName (Computer Modern) readonly def
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+{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 45 /hyphen put
+dup 48 /zero put
+dup 49 /one put
+dup 50 /two put
+dup 51 /three put
+dup 56 /eight put
+dup 58 /colon put
+dup 65 /A 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 105 /i 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
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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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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMR17 def
+/FontBBox {-33 -250 945 749 }readonly def
+/UniqueID 5000795 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 CMR17.) readonly def
+/FullName (CMR17) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.tex b/Master/texmf-dist/doc/latex/skak/skakdoc.tex
index e80618eda9e..c8d1a2d15bd 100644
--- a/Master/texmf-dist/doc/latex/skak/skakdoc.tex
+++ b/Master/texmf-dist/doc/latex/skak/skakdoc.tex
@@ -95,7 +95,7 @@
 
 
 \title{Typesetting Chess in \LaTeX with the \package{skak} Package\\
-Version 1.5}
+Version 1.5.2}
 \author{Torben Hoffmann\\ e-mail: \texttt{torben.lehoff@gmail.com}}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{document}
@@ -129,27 +129,6 @@ Project Public Licence, i.e.,
   the name of the software to avoid confusion.
 \end{quote}
 
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\section{Acknowledgements}
-\label{sec:acknowledgements}
-
-I would like to thank the creator of the \package{lambda} package,
-Alan Jeffrey, for making a splendid package that made this package
-possible.
-
-For discussions and alpha-testing I send my thanks to \Guido --- some
-of his ideas have already been implemented; the rest? Time will show.
-
-Thanks to \Harri for finding a nasty bug in the castling routine.
-
-A big thank goes to \Dirk for adding the Informator symbols to the
-fonts and for removing a couple of nasty bugs as well as improving
-some of the commands.
-
-I thank \Ulrike for the tremendous work she has done with regards to
-improving the way fonts are handled by the skak package, not to
-mention the significant amount of bugs she has found and in many cases
-fixed.
 
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/Master/texmf-dist/doc/latex/skak/tuggame.pdf b/Master/texmf-dist/doc/latex/skak/tuggame.pdf
deleted file mode 100644
index fb9569f172d..00000000000
--- a/Master/texmf-dist/doc/latex/skak/tuggame.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/skak/tuggame.ps b/Master/texmf-dist/doc/latex/skak/tuggame.ps
new file mode 100644
index 00000000000..1aa0c8d7026
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/skak/tuggame.ps
@@ -0,0 +1,7558 @@
+%!PS-Adobe-2.0
+%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software
+%%Title: tuggame.dvi
+%%CreationDate: Thu Jul 18 23:26:36 2013
+%%Pages: 2
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+%%+ SkakNew-Figurine CMBX10 SkakNew-Figurine-Bold CMR5 CMSY10 CMTI10
+%%+ SFRM1000
+%%DocumentPaperSizes: a4
+%%EndComments
+%DVIPSWebPage: (www.radicaleye.com)
+%DVIPSCommandLine: dvips -o tuggame.ps tuggame.dvi
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+    dup 0 gt
+    { /a .5 def PathLength exch div }
+    { pop /a 1 def PathLength } ifelse
+    /b ED % pattern should fit evenly in b
+    dup /X ED % pattern array
+    0 get /y ED % length of first black segment
+    /z 0 X {add} forall def % length of the full pattern
+    %% Computation of the scaling factor as described by van Zandt:
+    b a .5 sub 2 mul y mul sub z Div round
+    z mul a .5 sub 2 mul y mul add b exch Div
+    %%%% scaling factor on stack.
+    /z ED %% now, z is the scaling factor
+    false % for the length test below
+    X { z mul } forall X astore %% modification TN 04-08-07
+    %%% Checking whether at least one dash in X has positive length:
+    {0 gt or} forall
+    { X 1 a sub y mul }
+    { [ 1 0 ] 0 }
+    ifelse
+    setdash stroke
+} def
+%
+/DotLine { 
+  /b PathLength def 
+  /a ED /z ED /y CLW def 
+  /z y z add def 
+  a 0 gt { 
+    /b b a div def 
+  }{ 
+    a 0 eq { 
+      /b b y sub def 
+    }{ a -3 eq { 
+      /b b y add def } if 
+    } ifelse 
+  } ifelse 
+  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
+  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
+  setdash 1 setlinecap stroke 
+} def
+%
+/SymbolLine {   % on stack [ x y x y ...
+  counttomark 					% number of elements
+  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
+
+    %% for negative SymStep we calculate the distance 
+    SymStep 0 lt 
+      { %XYLength SymStep div abs cvi 
+        /nSym SymStep abs cvi def } 
+      { /nSym XYLength SymStep div cvi def }
+    ifelse
+    0.5 setflat
+    /Shift Symbol stringwidth pop 2 div def 
+    /deltaX XLength nSym div def
+    /deltaY YLength nSym div def
+    curveticks 
+      { XA YA moveto }
+      { XA Shift sub YA Shift sub moveto }
+    ifelse 
+    nSym { 
+      gsave 
+      curveticks 
+        { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+          currentpoint translate rotAngle rotate 
+          0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+          SymbolLinewidth setlinewidth stroke
+        }
+        { 
+          rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+          Symbol show 
+        }
+      ifelse 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+    /YA YB def /XA XB def
+  } repeat 
+  curveticks 
+    { XA YA moveto }
+    { XA Shift sub YA Shift sub moveto }
+  ifelse 
+  gsave 
+  curveticks 
+    { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED  
+      XA YA translate rotAngle rotate 
+      0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+      SymbolLinewidth setlinewidth stroke
+    }
+    { 
+      rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+    }
+  ifelse 
+  grestore
+  pop 				% delete the mark symbol
+} def
+%
+/LineFill { % hv ------------ patch 7 -------------
+  gsave 
+  abs /hatchWidthInc ED
+  abs /hatchSepInc ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  2 setlinecap 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  x2 x1 sub 1 add { 
+    x1 a mul y1 moveto 0 y2 rlineto stroke 
+    /x1 x1 1 add 
+      hatchWidthInc 0 gt { CLW add } if 
+    def 
+    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
+      /a a hatchSepInc add def
+      CLW hatchWidthInc add SLW 
+    } if
+  } repeat 
+  grestore 
+  pop pop } def
+%
+/DotFill {%	 on stack: dot radius
+  /dotRadius ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform 
+  pathbbox % llx lly urx ury of smallest bounding box
+  /y2 ED /x2 ED /y1 ED /x1 ED 
+  y2 y1 sub a div 2 add cvi /Ny ED
+  x2 x1 sub a div 2 add cvi /Nx ED
+  clip 
+  newpath 
+  /yA y1 dotRadius add CLW add def
+  /xA0 x1 dotRadius add CLW add def
+  Ny {
+     /xA xA0 def
+     Nx { 
+       newpath 
+       xA yA dotRadius 0 360 arc 
+       SolidDot { gsave fill grestore } if 
+       stroke
+       xA a add /xA ED
+     } repeat
+     yA a add /yA ED
+  } repeat
+  grestore
+} def
+%
+/PenroseFill {%	 on stack: scaling factor
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
+ { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
+  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
+  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
+  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
+  grestore 
+  pop pop 
+} def
+%
+/TruchetFill { %	 on stack: scaling factor
+  10 dict begin
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /ma a neg def
+  /ha a 2 div def 
+  /mha ha neg def
+  /tile { 
+    rand dup 2 idiv 2 mul eq { 90 rotate } if
+    mha mha moveto ha mha lineto
+    ha ha lineto mha ha lineto
+%    closepath .1 setlinewidth stroke
+    contents
+  } def
+  /contents{ 
+    0 ha moveto ha 0 lineto
+    0 mha moveto mha 0 lineto
+%    1 setlinewidth stroke
+  } def
+  /dotiling {
+    f ma mul a f a mul { 
+      /i exch def
+      f ma mul a f a mul { 
+        /j exch def
+        gsave i j translate
+        tile stroke grestore
+      } for
+    } for
+  } def
+%
+  /f 3 def 
+  5 srand dotiling 
+  end % local user dict
+} def
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
+  gsave 
+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow { 
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /a ED 
+  { 0 h T 1 -1 scale } if 
+  w neg h moveto 
+  0 0 L w h L w neg a neg rlineto 
+  gsave fill grestore 
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
+  { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% 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 >
+  w 9 div        h 3 div  
+  w 9 div 4 mul  h 3 div 2 mul
+  w h curveto % upper left of >
+  w neg Inset neg rlineto % move to x=0 and inset
+  gsave fill grestore 
+} def 
+%
+/Tbar { 
+  CLW mul add /z ED 
+  z -2 div CLW 2 div moveto 
+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
+  CLW mul add dup CLW sub 2 div 
+  /x ED mul CLW add /y ED /z CLW 2 div def 
+  x neg y moveto 
+  x neg CLW 2 div L x CLW 2 div L x y L stroke 
+  0 CLW moveto 
+} def
+%
+/RoundBracket { 
+  CLW mul add dup 2 div 
+  /x ED mul /y ED /mtrx CM def 
+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
+  1 1 moveto 
+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
+  { /z DS def } { /z 0 def } ifelse  	% outer or inner dimen 
+  /b ED 				% the color definition
+  0 z DS SD 
+  b { 0 z DS CLW sub SD } if 
+  0 DS z add CLW 4 div sub 
+  moveto 
+} def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+  load } if ] cvx newpath 3 1 roll T exec } def
+%
+/NArray { % 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 
+} def
+%
+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
+} def
+%
+/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
+  and { pop pop /n n 1 sub def } if 
+} def
+%
+/Polygon { 
+  NArray n 2 eq { 0 0 /n 3 def } if 
+  n 3 lt 
+    { n { pop pop } repeat } 
+    { n 3 gt { CheckClosed } if 
+      n 2 mul -2 roll 
+      /y0 ED /x0 ED /y1 ED /x1 ED  
+      x1 y1 
+      /x1 x0 x1 add 2 div def 
+      /y1 y0 y1 add 2 div def 
+      x1 y1 moveto 
+      /n n 2 sub def 
+      n { Lineto } repeat 
+      x1 y1 x0 y0 6 4 roll Lineto
+      Lineto pop pop closepath } ifelse 
+} def
+%
+/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
+    /nSym XYLength SymStep Div cvi def
+    /Shift Symbol stringwidth pop 2 Div def 
+    /deltaX XLength nSym Div def
+    /deltaY YLength nSym Div def
+    XA Shift sub YA Shift sub moveto 
+    nSym { 
+      gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if
+      Symbol show 
+      grestore 
+      deltaX deltaY rmoveto
+    } repeat
+%    XB Shift sub YB Shift sub moveto Symbol show
+    /YA YB def /XA XB def
+  } repeat 
+  pop	% delete the mark symbol
+} def
+%
+/Diamond { 
+  /mtrx CM def 
+  T rotate 
+  /h ED 
+  /w ED 
+  dup 0 eq { pop } { CLW mul neg 
+    /d ED 
+    /a w h Atan def 
+    /h d a sin Div h add def 
+    /w d a cos Div w add def } ifelse 
+  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
+  closepath mtrx setmatrix } def
+%
+/Triangle { 
+  /mtrx CM def 
+  translate 
+  rotate /h ED 2 div /w ED 
+  dup CLW mul /d ED 
+  /h h d w h Atan sin Div sub def 
+  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
+  mark 
+  0 d w neg d 0 h w d 0 d 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false 
+  Line 
+  closepath 
+  mtrx
+% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+  setmatrix pop 
+} def
+% DG/SR modification end
+%
+/CCA { 
+  /y ED /x ED 
+  2 copy y sub /dy1 ED 
+  x sub /dx1 ED 
+  /l1 dx1 dy1 Pyth def 
+} def
+%
+/CC { 
+  /l0 l1 def 
+  /x1 x dx sub def 
+  /y1 y dy sub def 
+  /dx0 dx1 def 
+  /dy0 dy1 def 
+  CCA 
+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
+  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
+  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
+  /x2 x l0 dx mul m mul sub def
+  /y2 y l0 dy mul m mul sub def 
+  /dx l1 dx mul m mul neg def 
+  /dy l1 dy mul m mul neg def 
+} def
+%
+/IC { 
+  /c c 1 add def 
+  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
+  /a a 2 mul 3 div 45 cos b exp div def 
+  CCA 
+  /dx 0 def 
+  /dy 0 def 
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
+} def
+%
+/CurvePath { 
+  %% for negative SymStep we calculate the distance 
+  SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
+  0.5 setflat
+  flattenpath /z 0 def /z0 0 def
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def 
+    x1 Shift sub y1 Shift sub moveto 
+    gsave 
+    curveticks 
+      { x1 y1 translate startAngle rotate 
+        0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto 
+        SymbolLinewidth setlinewidth stroke      
+      }
+      { startAngle rotate Symbol show }
+    ifelse 
+    grestore /z0 z def }
+  { /y ED /x ED PathLength@ z z0 sub SymStep ge {
+      x Shift sub y Shift sub moveto 
+      gsave 
+      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
+roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
+GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
+begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
+cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
+} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
+%
+/NCAngles { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform pop 
+  xB2 yB2 mtrx transform exch pop 
+  mtrx itransform 
+  /y0 ED /x0 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA2 yA2 
+  ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def } def
+%
+/NCAngle { 
+  GetEdgeA GetEdgeB GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
+  /y0 ED /x0 ED 
+  mark 
+  ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 x0 y0 xA1 yA1
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
+%
+/NCBar { 
+  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 
+    { /yB2 exch yB2 add def /xB2 exch xB2 add def }
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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 { 
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+  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
+    /dY1 yTemp yA2 sub def
+    /dX1 xTemp xA2 sub def
+    /dY2 yB2 yB1 sub def
+    /dX2 xB2 xB1 sub def
+    dX1 abs 0.01 lt {
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+      /xB2 xA2 def
+      /yB2 xA2 xB1 sub m2 mul yB1 add def
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+        /m1 dY1 dX1 div def
+        /xB2 xB1 def
+        /yB2 xB1 xA2 sub m1 mul yA2 add def
+      }{%
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+        /m2 dY2 dX2 div def
+        /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
+        /yB2 xB2 xA2 sub m1 mul yA2 add def
+      } ifelse
+    } ifelse
+  } if
+  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 
+} def
+%
+/NCDiagg { 
+  /lineAngle ED
+  GetEdgeA GetArmA 
+  lineAngle abs 0 gt 
+    { lineAngle }
+    { yB yA2 sub xB xA2 sub Atan 180 add } ifelse 
+  /AngleB ED
+  GetEdgeB mark
+  lineAngle abs 0 gt {
+    /dY2 yA2 yA1 sub def
+    /dX2 xA2 xA1 sub def
+    lineAngle abs 90 eq {
+      /m2 dY2 dX2 div def
+      /yA2 xB xA2 sub m2 mul yA2 add def
+      /xA2 xB def
+    }{
+      /m1 lineAngle dup sin exch cos div def % tan alpha
+      dX2 abs 0.01 lt {
+        /yA2 xA1 xB sub m1 mul yB add def
+        /xA2 xA1 def
+      }{%
+        /m2 dY2 dX2 div def
+        /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def
+        /yA2 xA2 xB sub m1 mul yB add def
+      } ifelse
+    } ifelse
+  } if
+  xB1 yB1 xA2 yA2
+  ArmA 0 ne { xA1 yA1 } if
+  tx@Dict begin false Line end
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+  /LPutPos { LPutLines } def
+  /HPutPos { HPutLines } def
+  /VPutPos { VPutLines } def
+%
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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 
+%  tx@Dict begin false Line end 
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+%  /LPutPos { LPutLines } def 
+%  /HPutPos { HPutLines } def 
+%  /VPutPos { VPutLines } def 
+} def
+%
+/NCLoop { 
+  GetEdgeA GetEdgeB GetArmA GetArmB 
+  /mtrx AngleA matrix rotate def 
+  xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED 
+  /xB3 xB2 yB2 mtrx transform pop def 
+  xB3 yA3 mtrx itransform /yB3 ED /xB3 ED 
+  xA3 yA3 mtrx itransform /yA3 ED /xA3 ED 
+  mark ArmB 0 ne { xB1 yB1 } if 
+  xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if 
+  tx@Dict begin false Line end 
+  /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { HPutLines } def 
+  /VPutPos { VPutLines } def 
+} def
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+%
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+  2 div dup 2 exp r r mul sub abs sqrt 
+  atan 2 mul /a ED 
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+  exch 2 copy 
+  /LPutVar [ 4 2 roll r AngleA ] cvx def 
+  /LPutPos { 
+    LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC 
+    3 -1 roll add 
+    /Y ED add /X ED /NAngle ED
+% DG/SR modification end
+  } def 
+  /HPutPos { LPutPos } def 
+  /VPutPos { LPutPos } def 
+  r AngleA 90 sub a add AngleA 270 add a sub 
+  tx@Dict begin 
+  /angleB ED /angleA ED /r ED 
+  /c 57.2957 r Div def 
+  /y ED /x ED 
+} def
+%
+/NCBox { 
+  /d ED /h ED 
+  /AngleB yB yA sub xB xA sub Atan def 
+  /AngleA AngleB 180 add def 
+  GetEdgeA GetEdgeB 
+  /dx d AngleB sin mul def 
+  /dy d AngleB cos mul neg def 
+  /hx h AngleB sin mul neg def 
+  /hy h AngleB cos mul def 
+  /LPutVar [ 
+    xA1 hx add yA1 hy add xB1 hx add yB1 hy add 
+    xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def 
+  /LPutPos { LPutLines } def 
+  /HPutPos { xB yB xA yA LPutLine } def 
+  /VPutPos { HPutPos } def 
+  mark 
+  LPutVar tx@Dict begin false Polygon end 
+} def
+%
+/NCArcBox { 
+  /l ED neg /d ED /h ED /a ED 
+  /AngleA yB yA sub xB xA sub Atan def 
+  /AngleB AngleA 180 add def 
+  /tA AngleA a sub 90 add def 
+  /tB tA a 2 mul add def 
+  /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
+  /x0 xA r tA cos mul add def 
+  /y0 yA r tA sin mul add def 
+  /c 57.2958 r div def 
+  /AngleA AngleA a sub 180 add def 
+  /AngleB AngleB a add 180 add def
+  GetEdgeA GetEdgeB 
+  /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def 
+  /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def 
+  l 0 eq { 
+    x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn 
+  }{ 
+    x0 y0 translate 
+    /tA AngleA l c mul add def 
+    /tB AngleB l c mul sub def
+    0 0 r h add tA tB arc r h add 
+    AngleB PtoC r d add 
+    AngleB PtoC 2 copy 
+    6 2 roll l arcto 4 { pop } repeat 
+    r d add tB PtoC l arcto 4 { pop } repeat 
+    0 0 r d add tB tA arcn r d add 
+    AngleA PtoC r h add 
+    AngleA PtoC 2 copy 6 2 roll 
+    l arcto 4 { pop } repeat 
+    r h add tA PtoC l arcto 4 { pop } repeat 
+  } ifelse 
+  closepath 
+  /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def 
+  /LPutPos { 
+    LPutVar /d ED /h ED 
+    /AngleB ED /AngleA ED 
+    /r ED /y0 ED /x0 ED 
+    t 1 le { 
+      r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC 
+    }{t 2 lt { 
+        /NAngle AngleB 180 add def r 2 t sub 
+        h mul t 1 sub d mul add add AngleB PtoC 
+      }{ 
+        t 3 lt { 
+          r d add AngleB 3 t sub mul AngleA 2 t sub
+          mul add dup 90 sub /NAngle ED PtoC 
+        }{ 
+          /NAngle AngleA 180 add def 
+          r 4 t sub d mul t 3 sub h mul add add AngleA PtoC 
+        } ifelse 
+      } ifelse 
+    } ifelse
+    y0 add /Y ED x0 add /X ED 
+  } def 
+  /HPutPos { LPutPos } def 
+  /VPutPos { LPutPos } def 
+} def
+%
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+/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 
+    { LPutPos } { CP /Y ED /X ED /NAngle 0 def } ifelse 
+  LPutCoor  
+} def
+%
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+  Sin Cos mul 0 eq 
+    { 0 } 
+    { d Cos mul Sin div flag not { neg } if 
+      h Cos mul Sin div flag { neg } if 
+      2 copy gt { pop } { exch pop } ifelse 
+    } ifelse 
+  s add flag { r add neg }{ l add } ifelse 
+  X add /X ED 
+} def
+%
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+  Sin Cos mul 
+  0 eq 
+    { 0 }
+    { l Sin mul Cos div flag { neg } if
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+  s add flag { d add } { h add neg } ifelse 
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+} def
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+/Acute
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+/Hungarumlaut
+/Ring % ?
+/Caron
+/Breve % ?
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+/ogonek
+/quotesinglbase.ts1
+/.notdef
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+% 0x30
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+/uni2103
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+/centoldstyle
+/florin
+/colonmonetary
+/uni20A9
+/uni20A6
+% 0x90
+/guarani % ?
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+/lira
+/recipe % ?
+/uni203D
+/gnaborretni % ?
+/dong
+/trademark
+/uni2031
+/paragraph.alt % ?
+/uni0E3F
+/afii61352
+/discount % ?
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+/uni2120
+% 0xA0
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+/sterling
+/currency
+/yen
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+/ordfeminine
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+/macron.ts1
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+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
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+/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
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+0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{
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+/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
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+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
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+/FamilyName (Computer Modern) def
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+end readonly def
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+/FontBBox{-189 -321 1456 937}readonly def
+currentdict end
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+%%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
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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
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+/FontName /CMTI10 def
+/FontBBox {-35 -250 1124 750 }readonly def
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+/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
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+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
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+readonly def
+currentdict end
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+%!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
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+%%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
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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
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+/FontName /CMR5 def
+/FontBBox {-10 -250 1304 750 }readonly def
+/UniqueID 5000788 def
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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 CMR5.) readonly def
+/FullName (CMR5) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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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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+%%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
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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
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+/FontName /CMBX10 def
+/FontBBox {-56 -250 1164 750 }readonly def
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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 CMBX10.) readonly def
+/FullName (CMBX10) readonly def
+/FamilyName (Computer Modern) readonly def
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+/UnderlinePosition -100 def
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+end readonly def
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+%%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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+%%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
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+/FontType 1 def
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+/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
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+%%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
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+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+/Weight (Regular) readonly def
+end readonly def
+/FontName /SkakNew-Diagram def
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+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
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+readonly def
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+/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def
+/FontBBox {-8 0 1008 1000} readonly def
+currentdict end
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+%%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
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+{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
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+%%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
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+{save true}{false}ifelse}{false}ifelse
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+/FontType 1 def
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+/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
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+/isFixedPitch false def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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+%%EndFont 
+%%BeginFont: CMTT12
+%!PS-AdobeFont-1.0: CMTT12 003.002
+%%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
+FontDirectory/CMTT12 known{/CMTT12 findfont dup/UniqueID known{dup
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+{save true}{false}ifelse}{false}ifelse
+11 dict begin
+/FontType 1 def
+/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def
+/FontName /CMTT12 def
+/FontBBox {-1 -234 524 695 }readonly def
+/UniqueID 5000833 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 CMTT12.) readonly def
+/FullName (CMTT12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/isFixedPitch true def
+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
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+0 1 255 {1 index exch /.notdef put} for
+dup 46 /period put
+dup 97 /a put
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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
+/UniqueID get 5000795 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 /CMR17 def
+/FontBBox {-33 -250 945 749 }readonly def
+/UniqueID 5000795 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 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
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 45 /hyphen put
+dup 69 /E put
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+readonly def
+currentdict end
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diff --git a/Master/texmf-dist/tex/latex/skak/skak.sty b/Master/texmf-dist/tex/latex/skak/skak.sty
index f3190357760..569a18a6a35 100644
--- a/Master/texmf-dist/tex/latex/skak/skak.sty
+++ b/Master/texmf-dist/tex/latex/skak/skak.sty
@@ -1,41 +1,5 @@
-% Version Date        Description
-% 1.0     2002-06-05  Major overhaul of the documentation and a few
-%                     minor bug fixes.
-% 1.1     2003-01-01  Added Dirk Baechle's enhancements:
-%                       - extension of the \highlight command
-%                       - unwanted generation of spaces removed
-%                       - a set of informator symbols added
-%                       - the fonts have been improved
-%                     Fixed a bug in \ParseCoordinates (fix provided by
-%                     Ulrike Fischer).
-%                     Fixed the bug with opening spaces in the SAN input.
-% 1.2    2003-01-12  Incorporated Dirk Baechle's improvements of the
-%                    Informator symbols and redefined the \liftfig
-%                    according to Dirk's input.
-%                    The PostScript files are now significantly
-%                    smaller due to a big effort by Dirk.
-% 1.3    2003-09-27  Dirk Baechle has fixed some of the Informator symbols
-%                    which needed an extra set of curly braces.
-%                    The check for trailing spaces in the ``typeset@cmoves''
-%                    command has been removed due to problems at the end of a
-%                    ``mainline'' or ``variation'' env when an additional
-%                    Informator symbol was involved..
-% 1.4    2004-12-30  Incorporation of changes made by Ulrike Fischer that
-%                    makes it easy to use different fonts. 
-%                    New engine for parsing and typesetting moves: 
-%                    the functionality is now shared between the two.
-%                    Joao Nabais reported a problem related to switching 
-%                    back and forth from styleC - this has been fixed using 
-%                    \leavestylec command complex.
-% 1.5   2008-10-09   Fixed a major problem with longmoves - the pawn moves 
-%                    are now displayed correctly. Changed the \storegame and
-%                    \restoregame to store both the current position and the
-%                    previous positon so a full restore can be made.
-%                    Added new variation commands.
-
-
 \NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{skak}[2008/10/09 v1.5 Chess typesetting]
+\ProvidesPackage{skak}[2013/07/18 v1.5.1 Chess typesetting]
 
 \DeclareOption{tiny}{\AtEndOfClass{\tinyboard}}
 \DeclareOption{small}{\AtEndOfClass{\smallboard}}
@@ -687,9 +651,9 @@
 
 \def\WhiteToMove{\True}
 
-\def\WhiteKingSquare% unit -> square
+\xdef\WhiteKingSquare% unit -> square
 {e1}
-\def\BlackKingSquare% unit -> square
+\xdef\BlackKingSquare% unit -> square
 {e8}
 \def\KingSquare#1{% bool -> square
 #1\WhiteKingSquare\BlackKingSquare}
@@ -961,11 +925,14 @@
 
 
 \DeclareRobustCommand{\lastmove}{{\def\variationstyle{}%
+    \styleC@on{\let\skak@ensuremath=\ensuremath}{\let\skak@ensuremath=\relax}%
     \WhiteToMove{%
       \addtocounter{move}{-1}%
-      \beforenumber\arabic{move}\blackopen\beforeblack%
+      \skak@ensuremath\beforenumber\arabic{move}\blackopen\skak@ensuremath%
+      \beforeblack%
       \addtocounter{move}{1}}%
-    {\beforenumber\arabic{move}\whiteopen\beforewhite}%
+    {\skak@ensuremath\beforenumber\arabic{move}\skak@ensuremath\whiteopen%
+      \skak@ensuremath\beforewhite}%
     \expandafter\wmove\expandafter{\LastMoveString}}}
 
 \def\ParseMoveA(#1#2){% char -> string -> unit
@@ -1118,7 +1085,7 @@
 \def\DoTheMove#1{% move the piece from #1 to \MoveToFile\MoveToRank
   \edef\oldpiece{\Get{\MoveToFile\MoveToRank}}%
   \Set{\MoveTo}{\Get{#1}}\Set{#1}{E}%
-  \gdef\MoveFrom{#1}}
+  \edef\MoveFrom{#1}}
 
 \def\DoTheMoveList#1{\DoTheMove{\Head{#1}}}
 
@@ -1700,7 +1667,7 @@
 % new version of \@variation
 \def\@variation#1{\endgroup%
   \let\currentstyle=\variationstyle%
-  \gdef\Printmoves{\True}%
+  \gdef\PrintMoves{\True}%
   \gdef\ExecuteMoves{\True}%
   \gdef\StoreLastMove{\False}%
   \@restoregame{skak.mainline.previous}% roll-back of last move.
@@ -1721,7 +1688,7 @@
 
 \def\@variationcurrent#1{\endgroup%
   \let\currentstyle=\variationstyle%
-  \gdef\Printmoves{\True}%
+  \gdef\PrintMoves{\True}%
   \gdef\ExecuteMoves{\True}%
   \gdef\StoreLastMove{\False}%
   \@restoregame{skak.mainline}%
@@ -1730,7 +1697,7 @@
 
 \def\@continuevariation#1{\endgroup%
   \let\currentstyle=\variationstyle%
-  \gdef\Printmoves{\True}%
+  \gdef\PrintMoves{\True}%
   \gdef\ExecuteMoves{\True}%
   \gdef\StoreLastMove{\False}%
   \@restoregame{skak.variation.previous}% roll-back of last move.
@@ -1740,7 +1707,7 @@
 
 \def\@continuevariationcurrent#1{\endgroup%
   \let\currentstyle=\variationstyle%
-  \gdef\Printmoves{\True}%
+  \gdef\PrintMoves{\True}%
   \gdef\ExecuteMoves{\True}%
   \gdef\StoreLastMove{\False}%
   \@restoregame{skak.variation}%