bclogo figures in runtime

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

44 files changed, 25499 insertions, 0 deletions

diff --git a/Master/texmf-dist/tex/latex/bclogo/bcbombe.eps b/Master/texmf-dist/tex/latex/bclogo/bcbombe.eps
new file mode 100644
index 00000000000..4add04af43e
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/bclogo/bcbombe.eps
@@ -0,0 +1,2392 @@
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+  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 {
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+mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
+0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
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+mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
+matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
+exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
+statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
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+/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
+/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
+array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
+df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
+definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
+}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
+B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
+1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+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: lm-ec.enc 0 0
+% This file belongs to the Latin Modern package. The work is released
+% under the GUST Font License. See the MANIFEST-Latin-Modern.txt and
+% README-Latin-Modern.txt files for the details. For the most recent version of
+% this license see http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt
+% or http://tug.org/fonts/licenses/GUST-FONT-LICENSE.txt
+
+/enclmec[
+/grave
+/acute
+/circumflex
+/tilde
+/dieresis
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+% Copyright 2003--2008 by B. Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS).
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+% from GUST (http://www.gust.org.pl).
+% This work is released under the GUST Font License.
+% For the most recent version of this license see
+% This work has the LPPL maintenance status `maintained'.
+% The Current Maintainer of this work is Bogus\l{}aw Jackowski and Janusz M. Nowacki.
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diff --git a/Master/texmf-dist/tex/latex/bclogo/bccalendrier.pdf b/Master/texmf-dist/tex/latex/bclogo/bccalendrier.pdf
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+matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
+exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
+statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
+N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
+/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
+/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
+array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
+df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
+definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
+}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
+B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
+1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+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
+%!
+TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
+/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
+/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
+/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
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diff --git a/Master/texmf-dist/tex/latex/bclogo/bcdbelgique.pdf b/Master/texmf-dist/tex/latex/bclogo/bcdbelgique.pdf
new file mode 100644
index 00000000000..8ca0f29a389
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index 00000000000..fdadd41df69
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+systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
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+tx@Dict begin
+/ADict 25 dict def				% The arrow dictionaray
+/CM { matrix currentmatrix } bind def
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+/CLW /currentlinewidth load def
+/CP /currentpoint load def
+/ED { exch def } bind def
+/L /lineto load def
+/T /translate load def
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+/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
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+/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 ---------------
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+/Pi 3.14159265359 def 
+/TwoPi 6.28318530718 def
+/Euler 2.71828182846 def 
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+/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
+/DegtoRad { Pi mul 180 div } bind def 		% viceversa
+%----------------- hv end---------------------------
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+/PathLength { 
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+  { /y y2 def /x x2 def PathLength@ }
+  /pathforall load stopped { pop pop pop pop } if 
+  z 
+} def
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+/STV { SDict begin normalscale end STP  } def	% 
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+    { [ 1 0 ] 0 } ifelse 
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+} def
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+/DotLine { 
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+  a Div cvi /x1 ED /y2 y2 y1 sub def 
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+  /setstrokeadjust known { true setstrokeadjust } if 
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+%% DG/SR modification end
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
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+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
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+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
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+  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
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+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
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+% 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
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+  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 { 
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+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
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+  x neg y moveto 
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+  0 CLW moveto 
+} def
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+/RoundBracket { 
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+  /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 
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+%
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+%
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+%   aload length 2 div dup dup cvi eq not { exch pop } if /n exch
+%   cvi def 
+%} def
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+/NArray { % holds the coordinates and on top of stack the showpoints boolean
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+  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
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+/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
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+/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
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+/Diamond { 
+  /mtrx CM def 
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+  /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 {
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+d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
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+% 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 
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+  /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
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+/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 }
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+/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
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+  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
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+    { 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
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+  n 1 eq 
+    { pop pop } 
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+      { 6 2 roll 4 2 roll curveto } repeat 
+      closepath } ifelse 
+} def
+%
+/BezierShowPoints { 
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+  moveto 
+  n 1 sub { lineto } repeat 
+  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
+  grestore 
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+  /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 
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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
+        /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/
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+ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha
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+def n { 4 copy /y1 ED /x1 ED /y2 ED /x2 ED x1 y1 0.5  1 gt { /Alpha
+y2 y1 sub x2 x1 sub Atan def /ArrowPos 0.  def /Length x2 x1 sub y2
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+add def ArrowPos Length gt { exit } if x1 Alpha cos ArrowPos mul add
+y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ /ArrowPos
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+ cvi { /ArrowPos ArrowPos dArrowPos add def x2 x1 sub ArrowPos mul
+x1 add y2 y1 sub ArrowPos mul y1 add ArrowInside pop pop } repeat }
+ifelse pop pop Lineto } repeat }{ ArrowA /n n 2 sub def n { Lineto
+} repeat } ifelse CP 4 2 roll ArrowB L pop pop } if   gsave 1.4 SLW
+0 0 0  setrgbcolor  1. .setopacityalpha  0 setlinecap stroke  grestore
+end
+ 
+@endspecial
+eop end
+%%Trailer
+
+userdict /end-hook known{end-hook}if
+%%EOF
diff --git a/Master/texmf-dist/tex/latex/bclogo/bcdfrance.pdf b/Master/texmf-dist/tex/latex/bclogo/bcdfrance.pdf
new file mode 100644
index 00000000000..9e8bb487b30
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/bclogo/bcdfrance.pdf
diff --git a/Master/texmf-dist/tex/latex/bclogo/bcditalie.eps b/Master/texmf-dist/tex/latex/bclogo/bcditalie.eps
new file mode 100644
index 00000000000..4980aa8b078
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/bclogo/bcditalie.eps
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+%% 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.
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+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
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+%/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
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+  /Coef b a .5 sub 2 mul y mul sub z Div round 
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+  /x x Coef mul def 
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+  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 { 
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+    }{ a -3 eq { 
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+  [ 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
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+%% DG/SR modification begin - Dec. 12, 1997 - Patch 2
+%%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
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+%% DG/SR modification end
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+%/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
+%% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
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+%% 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
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+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
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+/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
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+/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
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+%
+/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
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+/OpenBezier { 
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+  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
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+        >>
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+               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
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+%
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+/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
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+landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
+mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
+matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
+exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
+statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
+N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
+/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
+/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
+array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
+df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
+definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
+}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
+B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
+1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+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
+%!
+TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
+/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
+/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
+/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
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new file mode 100644
index 00000000000..60fcf56f795
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+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
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+  rotate newpath 
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+/Tbar { 
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+%
+/Bracket { 
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+  0 CLW moveto 
+} def
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+/RoundBracket { 
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+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
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+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
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+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
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+%
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+%   cvi def 
+%} def
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+  n eq not { exch pop } if
+  showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
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+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
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+%
+/Arcto { 
+  /a [ 6 -2 roll ] cvx def 
+  a r 
+  /arcto load stopped { 5 } { 4 } ifelse { pop } repeat 
+  a 
+} def
+%
+/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
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+/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
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+/Diamond { 
+  /mtrx CM def 
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+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
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+% DG modification begin - Jan. 15, 1997
+%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
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+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 
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+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
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+  /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 
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+%
+/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 
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+  { false NArray } ifelse 
+  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
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+%
+/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 
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+/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
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+    /G 1 def
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+} def
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+    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
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+        /Function <<
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+            /Domain [0 1]
+            /C0 C0
+            /C1 C1
+            /N      1
+        >>
+    >> shfill
+    end
+} bind def
+%
+%%%%% ### bubblesort ###
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+%% code de Bill Casselman
+%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
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+            a i get a i 1 add get gt {
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+               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
+%
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diff --git a/Master/texmf-dist/tex/latex/bclogo/bcrosevents.pdf b/Master/texmf-dist/tex/latex/bclogo/bcrosevents.pdf
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+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+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
+%!
+TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
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+/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
+/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
+/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
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+/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
+/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
+{userdict/md get type/dicttype eq{userdict begin md length 10 add md
+maxlength ge{/md md dup length 20 add dict copy def}if end md begin
+/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
+atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
+itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
+transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
+curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
+pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
+if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
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