bclogo figures in runtime

git-svn-id: svn://tug.org/texlive/trunk@16938 c570f23f-e606-0410-a88d-b1316a301751

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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps b/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps
deleted file mode 100644
index 4add04af43e..00000000000
--- a/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps
+++ /dev/null
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-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
-  setmatrix grestore} def
-%
-/RGBtoCMYK {    % on stack r g b -> C M Y K
-  3 dict begin
-  /Blue ED /Green ED /Red ED
-  1 Red sub     % Cyan
-  1 Green sub   % Magenta
-  1 Blue sub    % Yellow
-  0   		% Black  
-  end
-} def
-%
-/CMYKtoGRAY { % on stack c m y k -> gray
-  exch 0.11 mul add
-  exch 0.59 mul add
-  exch 0.3 mul add
-  dup 1 gt { pop 1 }  if 
-  neg 1 add 
-} def
-%
-/RGBtoGRAY { % on stack r g b -> gray
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-} def
-%
-/HSBtoGRAY { 
-  6 dict begin
-  /b exch def 
-  /s exch def 6 mul dup cvi dup 
-  /i exch def sub 
-  /f exch def
-  /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def
-  F i get { s mul neg 1 add b mul} forall
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-  end
-} def
-%
-%% convertisseur longueur d'onde ->R,G,B       Manuel Luque
-%% lambda max=780 nanometres
-%% lambda min=380 nanometres
-%% adaptation de :
-%% http://www.physics.sfasu.edu/astro/color.html
-%% www.efg2.com/lab
-%
-/Gamma 0.8 def
-/calculateRGB {
-  lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 380 ge {lambda 439 le {
-    /R {lambda 440 sub neg 440 380 sub div} def
-    /Red R factor mul Gamma exp def
-    /G 0 def
-    /Green G factor mul Gamma exp def
-    /B 1 def
-    /Blue B factor mul Gamma exp def} if
-  } if
-  lambda 440 ge { lambda 489 le {
-    /G {lambda 440 sub 490 440 sub div} def
-    /Green G factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /B 1 def
-    /Blue B factor mul Gamma exp def } if
-  } if
-  lambda 490 ge {lambda 509 le {
-    /B {lambda 510 sub neg 510 490 sub div} def
-    /Blue B factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 510 ge {lambda 579 le {
-    /R {lambda 510 sub 580 510 sub div } def
-    /Red R factor mul Gamma exp def
-    /Blue 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 580 ge {lambda 644 le {
-    /G {lambda 645 sub neg 645 580 sub div } def
-    /Green G factor mul Gamma exp def
-    /Blue 0 def
-    /R 1 def
-    /Red R factor mul Gamma exp def } if
-  } if
-  lambda 645 ge { lambda 780 le {
-    /Red 1 factor mul Gamma exp def
-    /Blue 0 def
-    /Green 0 def } if
-  } if
-} def
-%
-/factor {
-  lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if
-  lambda 420 ge {lambda 700 le { 1 } if } if
-  lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if
-} def
-%
-/wavelengthToRGB { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  calculateRGB
-} def %  now the colors are saved in Red Green Blue
-%
-/wavelengthToCMYK { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  gsave
-  calculateRGB Red Green Blue RGBtoCMYK 
-  /Black ED /Yellow ED /Magenta ED /Cyan ED
-  grestore
-} def %  now the colors are saved in Cyan Magenta Yellow Black
-%
-/axfill {
-    8 dict begin
-    /xw exch def /nl exch def
-    /C1 exch def /y1 exch def/x1 exch def
-    /C0 exch def /y0 exch def/x0 exch def
-    <<  /ShadingType 2
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-  { pop 1.e10 } 				% return 1.e10 as infinit
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-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
-  setmatrix grestore} def
-%
-/RGBtoCMYK {    % on stack r g b -> C M Y K
-  3 dict begin
-  /Blue ED /Green ED /Red ED
-  1 Red sub     % Cyan
-  1 Green sub   % Magenta
-  1 Blue sub    % Yellow
-  0   		% Black  
-  end
-} def
-%
-/CMYKtoGRAY { % on stack c m y k -> gray
-  exch 0.11 mul add
-  exch 0.59 mul add
-  exch 0.3 mul add
-  dup 1 gt { pop 1 }  if 
-  neg 1 add 
-} def
-%
-/RGBtoGRAY { % on stack r g b -> gray
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-} def
-%
-/HSBtoGRAY { 
-  6 dict begin
-  /b exch def 
-  /s exch def 6 mul dup cvi dup 
-  /i exch def sub 
-  /f exch def
-  /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def
-  F i get { s mul neg 1 add b mul} forall
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-  end
-} def
-%
-%% convertisseur longueur d'onde ->R,G,B       Manuel Luque
-%% lambda max=780 nanometres
-%% lambda min=380 nanometres
-%% adaptation de :
-%% http://www.physics.sfasu.edu/astro/color.html
-%% www.efg2.com/lab
-%
-/Gamma 0.8 def
-/calculateRGB {
-  lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 380 ge {lambda 439 le {
-    /R {lambda 440 sub neg 440 380 sub div} def
-    /Red R factor mul Gamma exp def
-    /G 0 def
-    /Green G factor mul Gamma exp def
-    /B 1 def
-    /Blue B factor mul Gamma exp def} if
-  } if
-  lambda 440 ge { lambda 489 le {
-    /G {lambda 440 sub 490 440 sub div} def
-    /Green G factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /B 1 def
-    /Blue B factor mul Gamma exp def } if
-  } if
-  lambda 490 ge {lambda 509 le {
-    /B {lambda 510 sub neg 510 490 sub div} def
-    /Blue B factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 510 ge {lambda 579 le {
-    /R {lambda 510 sub 580 510 sub div } def
-    /Red R factor mul Gamma exp def
-    /Blue 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 580 ge {lambda 644 le {
-    /G {lambda 645 sub neg 645 580 sub div } def
-    /Green G factor mul Gamma exp def
-    /Blue 0 def
-    /R 1 def
-    /Red R factor mul Gamma exp def } if
-  } if
-  lambda 645 ge { lambda 780 le {
-    /Red 1 factor mul Gamma exp def
-    /Blue 0 def
-    /Green 0 def } if
-  } if
-} def
-%
-/factor {
-  lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if
-  lambda 420 ge {lambda 700 le { 1 } if } if
-  lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if
-} def
-%
-/wavelengthToRGB { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  calculateRGB
-} def %  now the colors are saved in Red Green Blue
-%
-/wavelengthToCMYK { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  gsave
-  calculateRGB Red Green Blue RGBtoCMYK 
-  /Black ED /Yellow ED /Magenta ED /Cyan ED
-  grestore
-} def %  now the colors are saved in Cyan Magenta Yellow Black
-%
-/axfill {
-    8 dict begin
-    /xw exch def /nl exch def
-    /C1 exch def /y1 exch def/x1 exch def
-    /C0 exch def /y0 exch def/x0 exch def
-    <<  /ShadingType 2
-        /ColorSpace /DeviceRGB
-        /Coords [ x0 y0 x1 y1 ]
-        /EmulatorHints [ xw 2 div dup ]
-        /Function <<
-            /FunctionType 2
-            /Domain [0 1]
-            /C0 C0
-            /C1 C1
-            /N      1
-        >>
-    >> shfill
-    end
-} bind 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 {
-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
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index e08252e7eb9..00000000000
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-} 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
-  setmatrix grestore} def
-%
-/RGBtoCMYK {    % on stack r g b -> C M Y K
-  3 dict begin
-  /Blue ED /Green ED /Red ED
-  1 Red sub     % Cyan
-  1 Green sub   % Magenta
-  1 Blue sub    % Yellow
-  0   		% Black  
-  end
-} def
-%
-/CMYKtoGRAY { % on stack c m y k -> gray
-  exch 0.11 mul add
-  exch 0.59 mul add
-  exch 0.3 mul add
-  dup 1 gt { pop 1 }  if 
-  neg 1 add 
-} def
-%
-/RGBtoGRAY { % on stack r g b -> gray
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-} def
-%
-/HSBtoGRAY { 
-  6 dict begin
-  /b exch def 
-  /s exch def 6 mul dup cvi dup 
-  /i exch def sub 
-  /f exch def
-  /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def
-  F i get { s mul neg 1 add b mul} forall
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-  end
-} def
-%
-%% convertisseur longueur d'onde ->R,G,B       Manuel Luque
-%% lambda max=780 nanometres
-%% lambda min=380 nanometres
-%% adaptation de :
-%% http://www.physics.sfasu.edu/astro/color.html
-%% www.efg2.com/lab
-%
-/Gamma 0.8 def
-/calculateRGB {
-  lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 380 ge {lambda 439 le {
-    /R {lambda 440 sub neg 440 380 sub div} def
-    /Red R factor mul Gamma exp def
-    /G 0 def
-    /Green G factor mul Gamma exp def
-    /B 1 def
-    /Blue B factor mul Gamma exp def} if
-  } if
-  lambda 440 ge { lambda 489 le {
-    /G {lambda 440 sub 490 440 sub div} def
-    /Green G factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /B 1 def
-    /Blue B factor mul Gamma exp def } if
-  } if
-  lambda 490 ge {lambda 509 le {
-    /B {lambda 510 sub neg 510 490 sub div} def
-    /Blue B factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 510 ge {lambda 579 le {
-    /R {lambda 510 sub 580 510 sub div } def
-    /Red R factor mul Gamma exp def
-    /Blue 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 580 ge {lambda 644 le {
-    /G {lambda 645 sub neg 645 580 sub div } def
-    /Green G factor mul Gamma exp def
-    /Blue 0 def
-    /R 1 def
-    /Red R factor mul Gamma exp def } if
-  } if
-  lambda 645 ge { lambda 780 le {
-    /Red 1 factor mul Gamma exp def
-    /Blue 0 def
-    /Green 0 def } if
-  } if
-} def
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcdbelgique.pdf b/Master/texmf-dist/doc/latex/bclogo/bcdbelgique.pdf
deleted file mode 100644
index 8ca0f29a389..00000000000
--- a/Master/texmf-dist/doc/latex/bclogo/bcdbelgique.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/bclogo/bcdfrance.eps b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.eps
deleted file mode 100644
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-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
-  setmatrix grestore} def
-%
-/RGBtoCMYK {    % on stack r g b -> C M Y K
-  3 dict begin
-  /Blue ED /Green ED /Red ED
-  1 Red sub     % Cyan
-  1 Green sub   % Magenta
-  1 Blue sub    % Yellow
-  0   		% Black  
-  end
-} def
-%
-/CMYKtoGRAY { % on stack c m y k -> gray
-  exch 0.11 mul add
-  exch 0.59 mul add
-  exch 0.3 mul add
-  dup 1 gt { pop 1 }  if 
-  neg 1 add 
-} def
-%
-/RGBtoGRAY { % on stack r g b -> gray
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-} def
-%
-/HSBtoGRAY { 
-  6 dict begin
-  /b exch def 
-  /s exch def 6 mul dup cvi dup 
-  /i exch def sub 
-  /f exch def
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcdfrance.pdf b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.pdf
deleted file mode 100644
index 9e8bb487b30..00000000000
--- a/Master/texmf-dist/doc/latex/bclogo/bcdfrance.pdf
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcditalie.eps b/Master/texmf-dist/doc/latex/bclogo/bcditalie.eps
deleted file mode 100644
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-  x sub /dx1 ED 
-  /l1 dx1 dy1 Pyth def 
-} def
-%
-/CC { 
-  /l0 l1 def 
-  /x1 x dx sub def 
-  /y1 y dy sub def 
-  /dx0 dx1 def 
-  /dy0 dy1 def 
-  CCA 
-  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
-  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
-  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
-  /x2 x l0 dx mul m mul sub def
-  /y2 y l0 dy mul m mul sub def 
-  /dx l1 dx mul m mul neg def 
-  /dy l1 dy mul m mul neg def 
-} def
-%
-/IC { 
-  /c c 1 add def 
-  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
-  /a a 2 mul 3 div 45 cos b exp div def 
-  CCA 
-  /dx 0 def 
-  /dy 0 def 
-} def
-%
-/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
-/NC { CC x1 y1 x2 y2 x y curveto } def
-/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
-/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
-/NAC { x2 y2 x y curveto CC x1 y1 } def
-/EAC { x2 y2 x y ArrowB curveto pop pop } def
-%
-/OpenCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
-} def
-%
-/AltCurve { 
-  { false NArray n 2 mul 2 roll 
-    [ n 2 mul 3 sub 1 roll ] aload
-    /Points ED 
-    n 2 mul -2 roll } 
-  { false NArray } ifelse 
-  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
-} def
-%
-/ClosedCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { n 3 gt { CheckClosed } if 
-      6 copy n 2 mul 6 add 6 roll 
-      IC CC x y moveto n { NC } repeat 
-      closepath pop pop 
-    } ifelse 
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
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-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
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-index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
-/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
-/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
-(LaserWriter 16/600)]{A length product length le{A length product exch 0
-exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
-end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
-grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
-imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
-exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
-fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
-delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
-B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
-p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
-rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
-
-%%EndProcSet
-%%BeginProcSet: pstricks.pro 0 0
-% $Id: pstricks.pro 34 2008-06-25 17:20:01Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 1.05, 2008/06/25
-%%
-%% 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	% 
-%
-%%-------------- DG begin patch 15 ---------------%%
-%/DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
-%PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
-%mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
-%/y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
-%0 } ifelse setdash stroke } def
-/DashLine {
-  dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
-  /b ED /x1 ED /y1 ED /x ED /y ED 
-  /z y x add y1 add x1 add def
-  /Coef b a .5 sub 2 mul y mul sub z Div round 
-    z mul a .5 sub 2 mul y mul add b exch Div def 
-  /y y Coef mul def 
-  /x x Coef mul def 
-  /y1 y1 Coef mul def 
-  /x1 x1 Coef mul def
-  x1 0 gt y1 0 gt or x 0 gt or y 0 gt and 
-    { [ y x y1 x1 ] 1 a sub y mul }
-    { [ 1 0 ] 0 } ifelse 
-  setdash stroke
-} def
-%%-------------- DG end patch 15 ---------------%%
-/DotLine { 
-  /b PathLength def 
-  /a ED /z ED /y CLW def 
-  /z y z add def 
-  a 0 gt { 
-    /b b a div def 
-  }{ 
-    a 0 eq { 
-      /b b y sub def 
-    }{ a -3 eq { 
-      /b b y add def } if 
-    } ifelse 
-  } ifelse 
-  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
-  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
-  setdash 1 setlinecap stroke 
-} def
-%
-/LineFill { % hv ------------ patch 7 -------------
-  gsave 
-  abs /hatchWidthInc ED
-  abs /hatchSepInc ED
-  abs CLW add /a ED 
-  a 0 dtransform round exch round exch
-  2 copy idtransform 
-  exch Atan rotate 
-  idtransform pop /a ED 
-  .25 .25 itransform pathbbox 
-  /y2 ED 
-  a Div ceiling cvi /x2 ED /y1 ED 
-  a Div cvi /x1 ED /y2 y2 y1 sub def 
-  clip 
-  newpath 
-  2 setlinecap 
-  systemdict
-  /setstrokeadjust known { true setstrokeadjust } if 
-  x2 x1 sub 1 add { 
-    x1 a mul y1 moveto 0 y2 rlineto stroke 
-    /x1 x1 1 add 
-      hatchWidthInc 0 gt { CLW add } if 
-    def 
-    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
-      /a a hatchSepInc add def
-      CLW hatchWidthInc add SLW 
-    } if
-  } repeat 
-  grestore 
-  pop pop } def
-%
-/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
-%
-%gsave abs CLW add /a ED a 0 dtransform round exch round exch
-%2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
-%% DG/SR modification begin - Dec. 12, 1997 - Patch 2
-%%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
-%itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
-%% DG/SR modification end
-%Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
-%/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
-%% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
-%% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
-%% def
-%a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
-%pop pop } def
-%% DG/SR modification end
-%
-/BeginArrow { 
-  ADict begin 			% 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 
-  /b ED 0 z DS SD b { 0 z DS CLW sub SD } if 
-  0 DS z add CLW 4 div sub moveto } def
-%
-/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
-  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
-  load } if ] cvx newpath 3 1 roll T exec } def
-%
-%/NArray { 
-%   aload length 2 div dup dup cvi eq not { exch pop } if /n exch
-%   cvi def 
-%} def
-%
-/NArray { % holds the coordinates and on top of stack the showpoints boolean
-  /showpoints ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if
-  showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/Line { 
-  NArray n 0 eq not 
-    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
-      n { Lineto } repeat 
-      CP 4 2 roll ArrowB L pop pop 
-    } if 
-} def
-%
-/Arcto { 
-  /a [ 6 -2 roll ] cvx def 
-  a r 
-  /arcto load stopped { 5 } { 4 } ifelse { pop } repeat 
-  a 
-} def
-%
-/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
-  and { pop pop /n n 1 sub def } if } def
-/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
-  repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
-  ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
-  moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
-  Lineto pop pop closepath } ifelse } def
-/Diamond { 
-  /mtrx CM def 
-  T rotate 
-  /h ED 
-  /w ED 
-  dup 0 eq { pop } { CLW mul neg 
-    /d ED 
-    /a w h Atan def 
-    /h d a sin Div h add def 
-    /w d a cos Div w add def } ifelse 
-  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
-  /ArrowA { moveto } def 
-  /ArrowB { } def 
-  false Line 
-  closepath mtrx setmatrix } def
-% DG modification begin - Jan. 15, 1997
-%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
-%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
-%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
-%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
-%setmatrix } def
-/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
-CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
-div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
-d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
-% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
-% setmatrix } def
-setmatrix pop } def
-% DG/SR modification end
-%
-/CCA { 
-  /y ED /x ED 
-  2 copy y sub /dy1 ED 
-  x sub /dx1 ED 
-  /l1 dx1 dy1 Pyth def 
-} def
-%
-/CC { 
-  /l0 l1 def 
-  /x1 x dx sub def 
-  /y1 y dy sub def 
-  /dx0 dx1 def 
-  /dy0 dy1 def 
-  CCA 
-  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
-  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
-  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
-  /x2 x l0 dx mul m mul sub def
-  /y2 y l0 dy mul m mul sub def 
-  /dx l1 dx mul m mul neg def 
-  /dy l1 dy mul m mul neg def 
-} def
-%
-/IC { 
-  /c c 1 add def 
-  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
-  /a a 2 mul 3 div 45 cos b exp div def 
-  CCA 
-  /dx 0 def 
-  /dy 0 def 
-} def
-%
-/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
-/NC { CC x1 y1 x2 y2 x y curveto } def
-/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
-/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
-/NAC { x2 y2 x y curveto CC x1 y1 } def
-/EAC { x2 y2 x y ArrowB curveto pop pop } def
-%
-/OpenCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
-} def
-%
-/AltCurve { 
-  { false NArray n 2 mul 2 roll 
-    [ n 2 mul 3 sub 1 roll ] aload
-    /Points ED 
-    n 2 mul -2 roll } 
-  { false NArray } ifelse 
-  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
-} def
-%
-/ClosedCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { n 3 gt { CheckClosed } if 
-      6 copy n 2 mul 6 add 6 roll 
-      IC CC x y moveto n { NC } repeat 
-      closepath pop pop 
-    } ifelse 
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
-  setmatrix grestore} def
-%
-/RGBtoCMYK {    % on stack r g b -> C M Y K
-  3 dict begin
-  /Blue ED /Green ED /Red ED
-  1 Red sub     % Cyan
-  1 Green sub   % Magenta
-  1 Blue sub    % Yellow
-  0   		% Black  
-  end
-} def
-%
-/CMYKtoGRAY { % on stack c m y k -> gray
-  exch 0.11 mul add
-  exch 0.59 mul add
-  exch 0.3 mul add
-  dup 1 gt { pop 1 }  if 
-  neg 1 add 
-} def
-%
-/RGBtoGRAY { % on stack r g b -> gray
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-} def
-%
-/HSBtoGRAY { 
-  6 dict begin
-  /b exch def 
-  /s exch def 6 mul dup cvi dup 
-  /i exch def sub 
-  /f exch def
-  /F [[0 1 f sub 1][f 0 1][1 0 1 f sub][1 f 0][1 f sub 1 0][0 1 f][0 1 1]] def
-  F i get { s mul neg 1 add b mul} forall
-  0.11 mul
-  exch 0.59 mul add
-  exch 0.3 mul add 
-  end
-} def
-%
-%% convertisseur longueur d'onde ->R,G,B       Manuel Luque
-%% lambda max=780 nanometres
-%% lambda min=380 nanometres
-%% adaptation de :
-%% http://www.physics.sfasu.edu/astro/color.html
-%% www.efg2.com/lab
-%
-/Gamma 0.8 def
-/calculateRGB {
-  lambda 379 le {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 781 ge {/Red 0 def /Green 0 def /Blue 0 def} if
-  lambda 380 ge {lambda 439 le {
-    /R {lambda 440 sub neg 440 380 sub div} def
-    /Red R factor mul Gamma exp def
-    /G 0 def
-    /Green G factor mul Gamma exp def
-    /B 1 def
-    /Blue B factor mul Gamma exp def} if
-  } if
-  lambda 440 ge { lambda 489 le {
-    /G {lambda 440 sub 490 440 sub div} def
-    /Green G factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /B 1 def
-    /Blue B factor mul Gamma exp def } if
-  } if
-  lambda 490 ge {lambda 509 le {
-    /B {lambda 510 sub neg 510 490 sub div} def
-    /Blue B factor mul Gamma exp def
-    /R 0 def /Red 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 510 ge {lambda 579 le {
-    /R {lambda 510 sub 580 510 sub div } def
-    /Red R factor mul Gamma exp def
-    /Blue 0 def
-    /G 1 def
-    /Green G factor mul Gamma exp def } if
-  } if
-  lambda 580 ge {lambda 644 le {
-    /G {lambda 645 sub neg 645 580 sub div } def
-    /Green G factor mul Gamma exp def
-    /Blue 0 def
-    /R 1 def
-    /Red R factor mul Gamma exp def } if
-  } if
-  lambda 645 ge { lambda 780 le {
-    /Red 1 factor mul Gamma exp def
-    /Blue 0 def
-    /Green 0 def } if
-  } if
-} def
-%
-/factor {
-  lambda 380 ge {lambda 419 le { 0.3 0.7 lambda 380 sub mul 420 380 sub div add} if } if
-  lambda 420 ge {lambda 700 le { 1 } if } if
-  lambda 701 ge {lambda 780 le { 0.3 0.7 780 lambda sub mul 780 700 sub div add} if } if
-} def
-%
-/wavelengthToRGB { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  calculateRGB
-} def %  now the colors are saved in Red Green Blue
-%
-/wavelengthToCMYK { % the wavelength in nm must be on top of the stack
-  cvi /lambda exch def % no floating point here
-  gsave
-  calculateRGB Red Green Blue RGBtoCMYK 
-  /Black ED /Yellow ED /Magenta ED /Cyan ED
-  grestore
-} def %  now the colors are saved in Cyan Magenta Yellow Black
-%
-/axfill {
-    8 dict begin
-    /xw exch def /nl exch def
-    /C1 exch def /y1 exch def/x1 exch def
-    /C0 exch def /y0 exch def/x0 exch def
-    <<  /ShadingType 2
-        /ColorSpace /DeviceRGB
-        /Coords [ x0 y0 x1 y1 ]
-        /EmulatorHints [ xw 2 div dup ]
-        /Function <<
-            /FunctionType 2
-            /Domain [0 1]
-            /C0 C0
-            /C1 C1
-            /N      1
-        >>
-    >> shfill
-    end
-} bind 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 {
-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
-%
-end
-%
-% END pstricks-add.pro
-
-
-%%EndProcSet
-%%BeginProcSet: special.pro 0 0
-%!
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-/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
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-/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
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-/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
-atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
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-curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
-pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
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-neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
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-/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
-/NAC { x2 y2 x y curveto CC x1 y1 } def
-/EAC { x2 y2 x y ArrowB curveto pop pop } def
-%
-/OpenCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
-} def
-%
-/AltCurve { 
-  { false NArray n 2 mul 2 roll 
-    [ n 2 mul 3 sub 1 roll ] aload
-    /Points ED 
-    n 2 mul -2 roll } 
-  { false NArray } ifelse 
-  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
-} def
-%
-/ClosedCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { n 3 gt { CheckClosed } if 
-      6 copy n 2 mul 6 add 6 roll 
-      IC CC x y moveto n { NC } repeat 
-      closepath pop pop 
-    } ifelse 
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
-  ] def
-  newpath
-  <<
-  /ShadingType 4           % single Gouraud
-  /ColorSpace [ /DeviceRGB ]
-  /DataSource ds
-  >> 
-  shfill
-  closepath
-  mtrx
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-%
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf b/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf
deleted file mode 100644
index 09c8f50ab55..00000000000
--- a/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf
+++ /dev/null
diff --git a/Master/texmf-dist/doc/latex/bclogo/bcneige.eps b/Master/texmf-dist/doc/latex/bclogo/bcneige.eps
deleted file mode 100644
index 80800ae049e..00000000000
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-% 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 
-  /b ED 0 z DS SD b { 0 z DS CLW sub SD } if 
-  0 DS z add CLW 4 div sub moveto } def
-%
-/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
-  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
-  load } if ] cvx newpath 3 1 roll T exec } def
-%
-%/NArray { 
-%   aload length 2 div dup dup cvi eq not { exch pop } if /n exch
-%   cvi def 
-%} def
-%
-/NArray { % holds the coordinates and on top of stack the showpoints boolean
-  /showpoints ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if
-  showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/Line { 
-  NArray n 0 eq not 
-    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
-      n { Lineto } repeat 
-      CP 4 2 roll ArrowB L pop pop 
-    } if 
-} def
-%
-/Arcto { 
-  /a [ 6 -2 roll ] cvx def 
-  a r 
-  /arcto load stopped { 5 } { 4 } ifelse { pop } repeat 
-  a 
-} def
-%
-/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
-  and { pop pop /n n 1 sub def } if } def
-/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
-  repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
-  ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
-  moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
-  Lineto pop pop closepath } ifelse } def
-/Diamond { 
-  /mtrx CM def 
-  T rotate 
-  /h ED 
-  /w ED 
-  dup 0 eq { pop } { CLW mul neg 
-    /d ED 
-    /a w h Atan def 
-    /h d a sin Div h add def 
-    /w d a cos Div w add def } ifelse 
-  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
-  /ArrowA { moveto } def 
-  /ArrowB { } def 
-  false Line 
-  closepath mtrx setmatrix } def
-% DG modification begin - Jan. 15, 1997
-%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
-%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
-%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
-%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
-%setmatrix } def
-/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
-CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
-div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
-d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
-% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
-% setmatrix } def
-setmatrix pop } def
-% DG/SR modification end
-%
-/CCA { 
-  /y ED /x ED 
-  2 copy y sub /dy1 ED 
-  x sub /dx1 ED 
-  /l1 dx1 dy1 Pyth def 
-} def
-%
-/CC { 
-  /l0 l1 def 
-  /x1 x dx sub def 
-  /y1 y dy sub def 
-  /dx0 dx1 def 
-  /dy0 dy1 def 
-  CCA 
-  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
-  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
-  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
-  /x2 x l0 dx mul m mul sub def
-  /y2 y l0 dy mul m mul sub def 
-  /dx l1 dx mul m mul neg def 
-  /dy l1 dy mul m mul neg def 
-} def
-%
-/IC { 
-  /c c 1 add def 
-  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
-  /a a 2 mul 3 div 45 cos b exp div def 
-  CCA 
-  /dx 0 def 
-  /dy 0 def 
-} def
-%
-/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
-/NC { CC x1 y1 x2 y2 x y curveto } def
-/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
-/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
-/NAC { x2 y2 x y curveto CC x1 y1 } def
-/EAC { x2 y2 x y ArrowB curveto pop pop } def
-%
-/OpenCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
-} def
-%
-/AltCurve { 
-  { false NArray n 2 mul 2 roll 
-    [ n 2 mul 3 sub 1 roll ] aload
-    /Points ED 
-    n 2 mul -2 roll } 
-  { false NArray } ifelse 
-  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
-} def
-%
-/ClosedCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { n 3 gt { CheckClosed } if 
-      6 copy n 2 mul 6 add 6 roll 
-      IC CC x y moveto n { NC } repeat 
-      closepath pop pop 
-    } ifelse 
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
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-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
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-     0 xB xA sub yB yA sub colorB aload pop
-     0 xC xA sub yC yA sub colorC aload pop
-%     1 xC xB add yB colorA aload pop  	% for use with 4 points ABCD
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-  >> 
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-%
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-%
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-%
-%% convertisseur longueur d'onde ->R,G,B       Manuel Luque
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-%% www.efg2.com/lab
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-%
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-%
-%%%%% ### bubblesort ###
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-%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcrosevents.pdf b/Master/texmf-dist/doc/latex/bclogo/bcrosevents.pdf
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index 6caa0169851..00000000000
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcsoleil.eps b/Master/texmf-dist/doc/latex/bclogo/bcsoleil.eps
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-} def
-%
-/IC { 
-  /c c 1 add def 
-  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
-  /a a 2 mul 3 div 45 cos b exp div def 
-  CCA 
-  /dx 0 def 
-  /dy 0 def 
-} def
-%
-/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
-/NC { CC x1 y1 x2 y2 x y curveto } def
-/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
-/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
-/NAC { x2 y2 x y curveto CC x1 y1 } def
-/EAC { x2 y2 x y ArrowB curveto pop pop } def
-%
-/OpenCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
-} def
-%
-/AltCurve { 
-  { false NArray n 2 mul 2 roll 
-    [ n 2 mul 3 sub 1 roll ] aload
-    /Points ED 
-    n 2 mul -2 roll } 
-  { false NArray } ifelse 
-  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
-} def
-%
-/ClosedCurve { 
-  NArray n 3 lt 
-    { n { pop pop } repeat } 
-    { n 3 gt { CheckClosed } if 
-      6 copy n 2 mul 6 add 6 roll 
-      IC CC x y moveto n { NC } repeat 
-      closepath pop pop 
-    } ifelse 
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
-def
-/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
-rotate matrix concatmatrix exch findfont exch makefont setfont } def
-/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
-x1 y1 lineto closepath } def
-/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
-y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
-exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
-/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
-x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
-ifelse } def
-/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
-/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
-pop pop Rect } { OvalFrame } ifelse } def
-%
-/BezierNArray { 
-  /f ED 
-  counttomark 2 div dup cvi /n ED 
-  n eq not { exch pop } if 
-  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
-  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
-} def
-%
-/OpenBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { ArrowA n 4 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      6 2 roll 4 2 roll ArrowB curveto } ifelse 
-} def
-%
-/ClosedBezier { 
-  BezierNArray 
-  n 1 eq 
-    { pop pop } 
-    { moveto n 1 sub 3 idiv 
-      { 6 2 roll 4 2 roll curveto } repeat 
-      closepath } ifelse 
-} def
-%
-/BezierShowPoints { 
-  gsave 
-  Points aload length 2 div cvi /n ED 
-  moveto 
-  n 1 sub { lineto } repeat 
-  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
-  grestore 
-} def
-%
-/Parab { 
-  /y0 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
-%
-/Grid { 
-  newpath 
-  /a 4 string def 
-  /b ED /c ED /n ED 
-  cvi dup 1 lt { pop 1 } if 
-  /s ED 
-  s div dup 0 eq { pop 1 } if 
-  /dy ED s div dup 0 eq { pop 1 } if
-  /dx ED dy div round dy mul 
-  /y0 ED dx div round dx mul 
-  /x0 ED dy div round cvi 
-  /y2 ED dx div round cvi 
-  /x2 ED dy div round cvi 
-  /y1 ED dx div round cvi 
-  /x1 ED 
-  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
-  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
-  b 0 gt { 
-    /z1 b 4 div CLW 2 div add def
-%    /Helvetica findfont b scalefont setfont 
-    /b b .95 mul CLW 2 div add def } if 
-  systemdict /setstrokeadjust known 
-    { true setstrokeadjust /t { } def }
-    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
-       exch itransform } bind def } ifelse 
-  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
-  /i x1 def 
-  /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def 
-  /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def 
-  x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if 
-  { i dx mul dup y0 moveto 
-    b 0 gt 
-      { gsave c i a cvs dup stringwidth pop 
-        /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse 
-	h 0 gt {b neg}{z1} ifelse 
-        rmoveto show grestore } if 
-    dup t f moveto 
-    g t L stroke 
-    /i i w add def 
-  } repeat 
-  grestore 
-  gsave 
-  n 0 gt
-  % DG/SR modification begin - Nov. 7, 1997 - Patch 1
-  %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
-    { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
-  % DG/SR modification end
-    { 2 setlinecap } ifelse 
-  /i y1 def 
-  /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def 
-  /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def 
-  y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if 
-  { newpath i dy mul dup x0 exch moveto 
-    b 0 gt { gsave c i a cvs dup stringwidth pop 
-      /z2 ED 
-      w 0 gt {z1 z2 add neg} {z1} ifelse 
-      h 0 gt {z1} {b neg} ifelse 
-      rmoveto show grestore } if 
-    dup f exch t moveto 
-    g exch t L stroke 
-    /i i h add def 
-  } repeat 
-  grestore 
-} def
-%
-/ArcArrow { 
-  /d ED /b ED /a ED 
-  gsave 
-  newpath 0 -1000 moveto clip 
-  newpath 
-  0 1 0 0 b 
-  grestore 
-  c mul 
-  /e ED 
-  pop pop pop r a e d PtoC y add exch x add
-  exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
-  mul neg d 
-} def
-%
-/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let  M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance 
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack:  1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
-  /targetLength ED /angle0 ED
-  /x0 rx angle0 cos mul def
-  /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength 
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
-  targetLength 57.2958 mul
-  angle0 sin rx mul dup mul
-  angle0 cos ry mul dup mul
-  add sqrt div 
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
-  dup 90 ge { pop 90 } if 
-  angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a 
-% better angle (and put it on top of stack)
-  30 { dup
-% compute distance D between (x0,y0) and M(t)
-    dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
-    dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
-    exch dup cos rx mul x0 sub  exch sin ry mul y0 sub
-% stack contains:  y(t)-y0, x(t)-x0, d
-    2 index Div targetLength mul y0 add ry Div exch
-    2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
-    atan exch pop
-  } repeat
-% we don't look at what happened... in particular, if targetLength is greater 
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that  | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
-  /d ED      % 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
-end
-%-----------------------------------------------------------------------------%
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.01, 2008/01/01
-%%
-%% 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.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def  % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF
-% 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
-%% STR index
-/AnalyzeFactor {
-  AnalyzePreHook AnalyzePower IsEndingFactor
-  { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
-  { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower 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
-/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\() StrConcat
-      8 index StrConcat AddClPar
-    } ifelse
-  } ifelse
-  2 copy pop 0 6 2 roll GetIntervalNewStr
-  mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
-  true exch
-  { dup 48 lt exch dup 57 gt 3 -1 roll or
-    exch dup 46 ne%%.
-    exch dup 43 ne%%+
-    exch 45 ne%%-
-    and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
-  ReadLiteral dup 40 eq%%% there is an open par -> function call
-  { pop (EvalFunc_             ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
-  { dup 91 eq%%% there is an open bracket -> vector element
-    { ERROR_vector_not_yet_implemented }
-    { pop EvalVariable }
-    ifelse }
-  ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
-  4 2 roll 4 index (1) ne
-  { AddOpPar 4 index StrConcat (\)*) 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_sqrt {%
-  PreCommonFunc
-  { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
-  PostCommonFunc } def
-/EvalFunc_Fact {%
-  PreCommonFunc { 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
-end
-
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 26 2008-06-14 11:50:02Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02,  2008/04/18
-%%
-%% 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
-%  /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 26 2008-06-14 11:50:02Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.00, 2008/01/01.
-%%
-%% 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.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin 			% from main pstricks dict
- /T /translate load def 
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode 
-  gsave 
-  /next ED 			% { 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
-{ 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 { 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 { 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
-{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
-{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
-def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
-/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
-
-/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
-exch X sub neg exch moveto setmatrix CP grestore } def
-
-/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
-def } ifelse LPutCoor  } def
-/HPutAdjust { 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
-/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
-r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
-ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
-def
-end
-% END pst-node.pro
-
-%%EndProcSet
-%%BeginProcSet: pstricks-add.pro 0 0
-%% $Id: pstricks-add.pro 49 2008-10-13 10:59:27Z herbert $
-% PostScript prologue for pstricks-add.tex.
-% Version 0.21, 2008/10/15
-% For distribution, see pstricks.tex.
-%
-%       HISTORY -> see file Changes
-%
-/tx@addDict 410 dict def tx@addDict begin
-%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/GTriangle {
-  gsave
-  /mtrx CM def
-  /colorA ED /colorB ED /colorC ED 	% save the colors
-  /yA ED /xA ED               		% save the origin
-  xA yA translate
-  rotate       		        	% \psk@gangle
-  /yB ED /xB ED /yC ED /xC ED   	% save other coordinates
-  /ds [                % save data in a array
-     0 0 0 colorA aload pop     	% fd x y xr xg xb
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