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-/CurvePath {
- %% for negative SymStep we calculate the distance
- SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if
- 0.5 setflat
- flattenpath /z 0 def /z0 0 def
- { /y1 ED /x1 ED /y2 y1 def /x2 x1 def
- x1 Shift sub y1 Shift sub moveto
- gsave
- curveticks
- { x1 y1 translate startAngle rotate
- 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
- SymbolLinewidth setlinewidth stroke
- }
- { startAngle rotate Symbol show }
- ifelse
- grestore /z0 z def }
- { /y ED /x ED PathLength@ z z0 sub SymStep ge {
- x Shift sub y Shift sub moveto
- gsave
- curveticks
- { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED
- x y translate rotAngle rotate
- 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
- SymbolLinewidth setlinewidth stroke
- }
- {
- rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if
- Symbol show
- }
- ifelse
- grestore /z0 z def } if
- /yOld y def /xOld x def }
- {} %% the lineto part
- { /y y2 def /x x2 def PathLength@
- x Shift sub y Shift sub moveto
- gsave
- curveticks
- { y yOld sub x xOld sub Atan 180 sub /rotAngle ED
- x y translate rotAngle rotate
- 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
- SymbolLinewidth setlinewidth stroke
- }
- {
- x Shift sub y Shift sub moveto
- rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if
- Symbol show
- }
- ifelse
- grestore
- }
- pathforall
-% curveticks
-% { gsave
-% x y translate rotAngle rotate
-% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto
-% SymbolLinewidth setlinewidth stroke grestore
-% } if
- z
-} def
-%
-/OpenSymbolCurve {
- OpenCurve
- 0.1 setflat
- /Shift Symbol stringwidth pop 2 div def
- CurvePath
-} def
-%
-/AltCurve {
- { false NArray n 2 mul 2 roll
- [ n 2 mul 3 sub 1 roll ] aload
- /Points ED
- n 2 mul -2 roll }
- { false NArray } ifelse
- n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse
-} def
-%
-/AltOpenSymbolCurve {
- AltCurve
- 0.1 setflat
- /Shift Symbol stringwidth pop 2 div def
- CurvePath
-} def
-%
-/ClosedCurve {
- NArray n 3 lt
- { n { pop pop } repeat }
- { n 3 gt { CheckClosed } if
- 6 copy n 2 mul 6 add 6 roll
- IC CC x y moveto n { NC } repeat
- closepath pop pop
- } ifelse
-} def
-%
-/ClosedSymbolCurve {
- ClosedCurve
- 0.1 setflat
- /Shift Symbol stringwidth pop 2 div def
- CurvePath
-} def
-%
-/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
-/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
-/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def
-%
-/FontDot {
- DS 2 mul dup
- matrix scale matrix concatmatrix exch matrix
- rotate matrix concatmatrix exch
- findfont exch makefont setfont
-} def
-%
-/Rect {
- x1 y1 y2 add 2 div moveto
- x1 y2 lineto
- x2 y2 lineto
- x2 y1 lineto
- x1 y1 lineto
- closepath
-} def
-%
-/OvalFrame {
- x1 x2 eq y1 y2 eq or
- { pop pop x1 y1 moveto x2 y2 L }
- { y1 y2 sub abs x1 x2 sub abs 2 copy gt
- { exch pop } { pop } ifelse
- 2 div exch { dup 3 1 roll mul exch } if
- 2 copy lt { pop } { exch pop } ifelse
- /b ED
- x1 y1 y2 add 2 div moveto
- x1 y2 x2 y2 b arcto
- x2 y2 x2 y1 b arcto
- x2 y1 x1 y1 b arcto
- x1 y1 x1 y2 b arcto
- 16 { pop } repeat
- closepath
- } ifelse
-} def
-%
-/Frame {
- CLW mul /a ED
- 3 -1 roll
- 2 copy gt { exch } if
- a sub /y2 ED
- a add /y1 ED
- 2 copy gt { exch } if
- a sub /x2 ED
- a add /x1 ED
- 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse
-} def
-%
-/BezierNArray {
- /f ED
- counttomark 2 div dup cvi /n ED
- n eq not { exch pop } if
- n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat
- f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse
-} def
-%
-/OpenBezier {
- BezierNArray
- n 1 eq
- { pop pop }
- { ArrowA n 4 sub 3 idiv
- { 6 2 roll 4 2 roll curveto } repeat
- 6 2 roll 4 2 roll ArrowB curveto } ifelse
-} def
-%
-/OpenSymbolBezier {
- OpenBezier
- 0.1 setflat
- /Shift Symbol stringwidth pop 2 div def
- CurvePath
-} def
-%
-/ClosedBezier {
- BezierNArray
- n 1 eq
- { pop pop }
- { moveto n 1 sub 3 idiv
- { 6 2 roll 4 2 roll curveto } repeat
- closepath } ifelse
-} def
-%
-/ClosedSymbolBezier {
- /f ED % save showpoints value
- 2 copy /yEnd ED /xEnd ED
- counttomark -2 roll 2 copy /yStart ED /xStart ED
- counttomark 2 roll
- f
- ClosedBezier
- 0.1 setflat
- /Shift Symbol stringwidth pop 2 div def
- CurvePath
- [ xEnd yEnd xStart yStart SymbolLine
-} def
-%
-/BezierShowPoints {
- gsave
- Points aload length 2 div cvi /n ED
- moveto
- n 1 sub { lineto } repeat
- CLW 2 div SLW [ 4 4 ] 0 setdash stroke
- grestore
-} def
-%
-/Parab {
- /y0 ED /x0 ED /y1 ED /x1 ED
- /dx x0 x1 sub 3 div def
- /dy y0 y1 sub 3 div def
- x0 dx sub y0 dy add x1 y1 ArrowA
- x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB
- curveto
- /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def
-} def
-%
-/Parab1 { % 1 end | 0 SP
- /ySP ED /xSP ED /y1 ED /x1 ED
- /dx xSP x1 sub 3 div def
- /dy ySP y1 sub 3 div def
- newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto
- x1 ySP lineto closepath clip
- currentpoint
- newpath moveto
- xSP dx sub ySP dy add x1 y1 ArrowA
- xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB
- curveto
- /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def
-} def
-%
-/Grid {
- newpath
- /a 4 string def
- /b ED % psk@gridlabels in pt
- /c ED % { \pst@usecolor\psgridlabelcolor }
- /n ED % psk@griddots
- cvi dup 1 lt { pop 1 } if
- /s ED % \psk@subgriddiv
- s div dup 0 eq { pop 1 } if
- /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs
- /dx ED dy div round dy mul % \pst@number\psxunit abs
- /y0 ED dx div round dx mul
- /x0 ED dy div round cvi
- /y2 ED dx div round cvi
- /x2 ED dy div round cvi
- /y1 ED dx div round cvi
- /x1 ED
- /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def
- /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def
- b 0 gt {
- /z1 b 4 div CLW 2 div add def
-% /Helvetica findfont b scalefont setfont
- /b b .95 mul CLW 2 div add def } if
- systemdict /setstrokeadjust known
- { true setstrokeadjust /t { } def }
- { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
- exch itransform } bind def } ifelse
- gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse
- /i x1 def
- /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def
- /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def
- x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if
- { i dx mul dup y0 moveto
- b 0 gt
- { gsave c i a cvs dup stringwidth pop
- /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse
- h 0 gt {b neg}{z1} ifelse
- rmoveto show grestore } if
- dup t f moveto
- g t L stroke
- /i i w add def
- } repeat
- grestore
- gsave
- n 0 gt
- % DG/SR modification begin - Nov. 7, 1997 - Patch 1
- %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
- { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
- % DG/SR modification end
- { 2 setlinecap } ifelse
- /i y1 def
- /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def
- /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def
- y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if
- { newpath i dy mul dup x0 exch moveto
- b 0 gt { gsave c i a cvs dup stringwidth pop
- /z2 ED
- w 0 gt {z1 z2 add neg} {z1} ifelse
- h 0 gt {z1} {b neg} ifelse
- rmoveto show grestore } if
- dup f exch t moveto
- g exch t L stroke
- /i i h add def
- } repeat
- grestore
-} def
-%
-/ArcArrow {
- /d ED /b ED /a ED
- gsave
- newpath 0 -1000 moveto clip
- newpath
- 0 1 0 0 b
- grestore
- c mul
- /e ED
- pop pop pop r a e d PtoC y add exch x add
- exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
- mul neg d
-} def
-%
-/Ellipse {
- /rotAngle ED
- /mtrx CM def
- T
- rotAngle rotate
- scale 0 0 1 5 3 roll arc
- mtrx setmatrix
-} def
-%
-/ArcAdjust { %%%% Vincent Guirardel
-% given a target length (targetLength) and an initial angle (angle0) [in the stack],
-% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0).
-% This computes an angle t such that (x0,y0) is at distance
-% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)).
-% NOTE: this an absolute angle, it does not have to be added or substracted to angle0
-% contrary to TvZ's code.
-% To achieve, this, one iterates the following process: start with some angle t,
-% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)].
-% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned.
-%
-% Another difference with TvZ's code is that we need d (=add/sub) to be defined.
-% the value of d = add/sub is used to know on which side we have to move.
-% It is only used in the initialisation of the angle before the iteration.
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Input stack: 1: target length 2: initial angle
-% variables used : rx, ry, d (=add/sub)
-%
- /targetLength ED /angle0 ED
- /x0 rx angle0 cos mul def
- /y0 ry angle0 sin mul def
-% we are looking for an angle t such that (x0,y0) is at distance targetLength
-% from the point M(t)=(rx*cos(t),ry*sin(t)))
-%initialisation of angle (using 1st order approx = TvZ's code)
- targetLength 57.2958 mul
- angle0 sin rx mul dup mul
- angle0 cos ry mul dup mul
- add sqrt div
-% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees
-% (if the ellipse is very curved at the point where we draw the arrow, %
-% the value can be much more than 360 degrees !)
-% this should avoid going on the wrong side (more than 180 degrees) or go near
-% a bad attractive point (at 180 degrees)
- dup 90 ge { pop 90 } if
- angle0 exch d % add or sub
-% maximum number of times to iterate the iterative procedure:
-% iterative procedure: takes an angle t on top of stack, computes a
-% better angle (and put it on top of stack)
- 30 { dup
-% compute distance D between (x0,y0) and M(t)
- dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt
-% if D almost equals targetLength, we stop
- dup targetLength sub abs 1e-5 le { pop exit } if
-% stack now contains D t
-% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]:
-% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 )
- exch dup cos rx mul x0 sub exch sin ry mul y0 sub
-% stack contains: y(t)-y0, x(t)-x0, d
- 2 index Div targetLength mul y0 add ry Div exch
- 2 index Div targetLength mul x0 add rx Div
-% stack contains x(t')/rx , y(t')/ry , d
-% now compute t', and remove D from stack
- atan exch pop
- } repeat
-% we don't look at what happened... in particular, if targetLength is greater
-% than the diameter of the ellipse...
-% the final angle will be around /angle0 + 180. maybe we should treat this pathological case...
-% after iteration, stack contains an angle t such that M(t) is the tail of the arrow
-% to give back the result as a an angle relative to angle0 we could add the following line:
-% angle0 sub 0 exch d
-%
-% begin bug fix 2006-01-11
-% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180
-%(we don't want to make the ellipse turn more or less than it should)...
-dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse
-% end bug fix
-} def
-%
-/EllipticArcArrow {
- /d ED % is add or sub
- /b ED % arrow procedure
- /a1 ED % angle
- gsave
- newpath
- 0 -1000 moveto
- clip % Set clippath far from arrow.
- newpath
- 0 1 0 0 b % Draw arrow to determine length.
- grestore
-% Length of arrow is on top of stack. Next 3 numbers are junk.
-%
- a1 exch ArcAdjust % Angular position of base of arrow.
- /a2 ED
- pop pop pop
- a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig
- a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig
- a1 cos rx mul xOrig add %
- a1 sin ry mul yOrig add %
-% Now arrow tip coor and base coor are on stack.
- b pop pop pop pop % Draw arrow, and discard coordinates.
- a2 CLW 8 div
-% change value of d (test it by looking if `` 1 1 d '' gives 2 or not )
- 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse
- ArcAdjust
-% resets original value of d
- 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap.
-} def
-%%------------------ tvz/DG/hv (2004-05-10) end -------------------%%
-%
-/Rot { CP CP translate 3 -1 roll neg rotate NET } def
-%
-/RotBegin {
- tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if
- /TMatrix [ TMatrix CM ] cvx def
- /a ED
- a Rot /RAngle [ RAngle dup a add ] cvx def
-} def
-%
-/RotEnd {
- /TMatrix [ TMatrix setmatrix ] cvx def
- /RAngle [ RAngle pop ] cvx def
-} def
-%
-/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
-/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
-/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
-%
-/Uput {
- /a ED
- add 2 div /h ED 2
- div /w ED
- /s a sin def
- /c a cos def
- /b s abs c abs 2 copy gt dup
- /q ED
- { pop } { exch pop } ifelse def
- /w1 c b div w mul def
- /h1 s b div h mul def
- q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse
-} def
-%
-/UUput {
- /z ED
- abs /y ED
- /x ED
- q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse
- { x x mul y y mul sub z z mul add sqrt z add }
- { q { x s div } { x c div } ifelse abs
- } ifelse
- a PtoC
- h1 add exch
- w1 add exch
-} def
-%
-/BeginOL {
- dup (all) eq exch TheOL eq or
- { IfVisible not { Visible /IfVisible true def } if }
- { IfVisible { Invisible /IfVisible false def } if } ifelse
-} def
-%
-/InitOL {
- /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
- /Visible { CP OLUnit idtransform T moveto } def
- /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def
- /BOL { BeginOL } def
- /IfVisible true def
-} def
-%
-%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%% ### bubblesort ###
-%% syntax : array bubblesort --> array2 trie par ordre croissant
-%% code de Bill Casselman
-%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
-/bubblesort {
-4 dict begin
- /a exch def
- /n a length 1 sub def
- n 0 gt {
- % at this point only the n+1 items in the bottom of a remain to
- % the sorted largest item in that blocks is to be moved up into
- % position n
- n {
- 0 1 n 1 sub {
- /i exch def
- a i get a i 1 add get gt {
- % if a[i] > a[i+1] swap a[i] and a[i+1]
- a i 1 add
- a i get
- a i a i 1 add get
- % set new a[i] = old a[i+1]
- put
- % set new a[i+1] = old a[i]
- put
- } if
- } for
- /n n 1 sub def
- } repeat
- } if
- a
-end
-} def
-%
-%
-/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422
- 0 1 index { length add } forall
- string
- 0 3 2 roll
- { 3 copy putinterval length add }forall
- pop
-} bind def
-%
-/dot2comma {% on stack a string (...)
- 2 dict begin
- /Output exch def
- 0 1 Output length 1 sub {
- /Index exch def
- Output Index get 46 eq { Output Index 44 put } if
- } for
- Output
- end
-} def
-%
-end
-%-----------------------------------------------------------------------------%
-%
-% END pstricks.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-algparser.pro 0 0
-% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $
-%%
-%% PostScript prologue for PSTricks algorithm parser
-%% Version 0.04, 2011/10/21
-%%
-%% This program can be redistributed and/or modified under the terms
-%% of the LaTeX Project Public License Distributed from CTAN archives
-%% in directory macros/latex/base/lppl.txt.
-%%
-%%-----------------------------------------------------------------------------%
-%
-/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez
-%
-/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin
-%
-% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13
-%
-% 09/2011 DR factorial with ! added
-%
-% E->T|E+T
-% T->FS|T*FS
-% FS -> F | +FS | -FS
-% F->P|F^SF|P!
-% P->(E)|literal
-% literal->number|var|var[E]|func(params)
-% params->E|E,param
-% number->TOBEFINISHED
-%
-%% E expression, T term, SF signed factor, F factor, P power
-%
-%% parser
-%
-%% str
-%
-%% C->E<condition_operators>E
-%% STR index -> STR index+lenExpr
-/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def
-%
-%% analyze Expression List (separator , or | )
-%% STR index -> STR index+lenExpr
-%% /AnalyzeListOfE {
-%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar
-%% NextNonBlankChar dup 0 eq { pop exit } if
-%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if
-%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop
-%% AnalyzeListOfEPostHook
-%% } def
-/AnalyzeListOfE {
- /NotFirst false def
- { NextNonBlankChar pop AnalyzeExpr
- NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse
- dup Strlen eq { exit } if NextNonBlankChar
- dup 44 ne 1 index 124 ne and
- { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse }
- if pop 1 add } loop
- AnalyzeListOfEPostHook
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% E->T|E+T
-%% STR index -> STR index+lenExpr
-/AnalyzeExpr {
- AnalyzePreHook AnalyzeTerm IsEndingExpr
- { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
- { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop }
- ifelse
- AnalyzePostHook
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% T->FS|T*FS
-%% STR index
-/AnalyzeTerm {
- AnalyzePreHook AnalyzeSignedFactor IsEndingTerm
- { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
- { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop }
- ifelse
- AnalyzePostHook
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% FS -> F | +FS | -FS
-%% STR index
-/AnalyzeSignedFactor {
- AnalyzePreHook 2 copy get dup IsUnaryOp
- { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp }
- { pop AnalyzeFactor }
- ifelse AnalyzePostHook
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% F->P|F^P|P!
-%% STR index
-/AnalyzeFactor {
- AnalyzePreHook AnalyzePower IsEndingFactor
- { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse }
- { { dup 33 eq%% is there a ! DR 09/2011
- { pop 1 add NextNonBlankChar pop EvalFactorial }
- { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower }
- ifelse
- IsEndingFactor { pop exit } if } loop }
- ifelse AnalyzePostHook
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% P->(E)|literal
-%% STR index
-/AnalyzePower {
- %% depending of first char either a number, or a literal
- 2 copy get dup 40 eq%%an open par
- { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop }
- { AnalyzeLiteral }
- ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% STR index STR[index] -> STR index
-%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def
-/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% recognize + or -
-%% chr -> T/F
-/IsUnaryOp { dup 43 eq exch 45 eq or } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% a number can contain only : 0123456789.
-%% chr -> T/F
-/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% STR index -> STR index number
-%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
-%% STR index -> STR index' number
-/ReadNumber {
- exch dup 3 -1 roll dup 3 1 roll
- %%read mantissa
- { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop
- dup 101 eq exch 69 eq or
- %%% there is a "e" or "E" -> read exponant
- { 1 add 2 copy get dup IsUnaryOp
- { pop 1 add 2 copy get } if
- { IsNumber not { exit } if 1 add 2 copy get } loop }
- if
- dup 4 1 roll
- 3 -1 roll exch 1 index sub getinterval
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% a number can contain only : 0123456789.
-%% chr -> T/F
-/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% STR index -> STR index number
-%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)?
-%% STR index -> STR index' number
-/ReadCondOp {
- NextNonBlankChar 1 index 4 1 roll
- { IsCondOp not { exit } if 1 add 2 copy get } loop
- 2 copy 5 -1 roll
- exch 1 index sub getinterval 3 1 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% a literal can contain only : 0123456789.
-%% chr -> T/F
-/IsLiteral {%
- dup 48 ge exch dup 57 le 3 -1 roll and exch
- dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch
- dup 97 ge exch 122 le and or } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)?
-%% STR index -> literal STR index' nextchr
-/ReadLiteral {
- exch dup 3 -1 roll dup 3 1 roll
- %%read literal core
- { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop
- 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% expr is ended by end of str or a clpar
-%% STR index -> STR index STR[index] T/F
-/IsEndingExpr {%
- 2 copy dup Strlen eq
- %% if end of str is reached -> end !
- { pop pop 0 true }
- %% ending chr -> clpar, comma, |, <, >, =, !,
- {get dup dup 41 eq
- exch dup 124 eq
- exch dup 93 eq
- exch dup 44 eq
- exch dup 30 eq
- exch dup 60 ge exch 62 le and or or or or or}
- ifelse } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% expr is ended by end of str or a +-
-%% STR index -> STR index STR[index] T/F
-/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% expr is ended by end of str or */
-%% STR index -> STR index STR[index] T/F
-/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% expr is ended by end of str or ^
-%% STR index -> STR index STR[index] T/F
-/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% STR index -> STR index STR[index]
-/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def
-/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%
-%% DEBUG
-/BRK {false} def
-/BRKtrue {/BRK true def} def
-/BRKStop {BRK {BRKtoto} if } def
-/BRKEvalStop {BRK exch if } def
-/BRKBRK2true {BRK {BRK2true} if } def
-/BRK2 {false} def
-/BRK2true {/BRK2 true def} def
-/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def
-end
-%
-%-------------------------------------------------------------------------------%
-%
-/tx@AlgToPs 12 dict def tx@AlgToPs begin
-%
-%% algExpr -> PSVector
-/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def
-/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def
-/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def
-/Strlen 0 def
-/EvalListOfExpr {} def%
-/EvalNumber {%
- ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx
- exch 1 add array astore def NextNonBlankChar pop } def
-/EvalAddSub {%
- /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
- 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def
-} def
-/EvalMulDiv {%
- /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
- 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def
-} def
-/EvalPower {%
- /ExpressionVector ExpressionVector aload length dup 5 add -1 roll
- pop /exp cvx exch 1 add array astore def
-} def
-/EvalFactorial {% DR 09/2011
- /ExpressionVector ExpressionVector aload length
- /fact cvx exch 1 add array astore def
-} def
-/EvalLiteral {%
- ReadLiteral
- dup 40 eq%%% there is an open par -> function call
- { pop 2 index
- dup (Sum) eq { EvalSum }
- { dup (IfTE) eq { EvalCond }
- { dup (Derive) eq { pop EvalDerive }
- { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc
- /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx
- exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse }
- { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def
- dup 91 eq%%% there is an open bracket -> vector element
- { pop 1 add NextNonBlankChar pop AnalyzeExpr
- /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add }
- { pop NextNonBlankChar pop }
- ifelse}
- ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% the derive function : Derive(n,f(x))
-%% firstparindex lastparindex ->
-/EvalDerive {
- %% manage the function descripiton
- 1 add ReadNumber 3 1 roll NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
- 1 add NextNonBlankChar pop
- 3 -1 roll cvi
- dup 0 eq
- { pop AnalyzeExpr 3 -1 roll pop 1 add }
- { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll
- { (x) tx@Derive begin Derive end } repeat
- ExpressionVector exch /ExpressionVector [] def
- AlgToPs aload length
- /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def
- l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add
- 1 index length /Strlen exch def } ifelse
-} def
-/EvalSum {%
- pop 1 add NextNonBlankChar pop
- %% read the variable name
- ReadLiteral pop NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
- %% read the initial value
- 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
- 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
- %% read the increment value
- 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
- 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
- %% read the limit value
- 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll
- 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
- /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll
- 5 -1 roll 4 add array astore def
- %% keep ExpressionVector for later and create a new one for internal Sum computation
- ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def
- 1 add NextNonBlankChar pop AnalyzeExpr
- %% add each term
- /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def
- /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add
- array astore def 3 -1 roll pop 1 add
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Convert to radians if trigo function call
-%% (name) ->
-/TrigoFunc {
- dup (cos) eq 1 index (sin) eq or exch (tan) eq or
- { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
- array astore def
- } if
-} def
-/EvalCond {%
- pop 1 add AnalyzeCond NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
- ExpressionVector 3 1 roll /ExpressionVector [] def
- 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def
- NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
- 1 add AnalyzeExpr
- NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if
- ExpressionVector
- /ExpressionVector 6 -1 roll aload length dup
- 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def
- 1 add 3 -1 roll pop
-} def
-%% CondOp STR index
-/EvalCondOp {%
- 3 -1 roll
- dup (=) eq { /eq } {%
- dup (<) eq { /lt } {%
- dup (>) eq { /gt } {%
- dup (>=) eq { /ge } {%
- dup (<=) eq { /ge } {%
- dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator }
- ifelse } ifelse } ifelse } ifelse } ifelse } ifelse
- cvx exch pop
- /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def
-/EvalUnaryOp {
- 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% H O O K S
-/AnalyzePreHook {} bind def
-/PreEvalHook {} bind def
-/AnalyzeListOfEPostHook {} bind def
-/AnalyzePostHook {} def
-/RollOp { 3 1 roll } bind def
-end %tx@CoreAnalyzerDict
-%
-%--------------------------------------------------------------------%
-%
-/tx@Derive 41 dict def tx@Derive begin
-%%increase ^^ for each function added
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% algExpr variable -> PSVector
-/Derive {%
- 10240 string 3 1 roll 0 3 1 roll
- /Variable exch def
- tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end
-} def
-/Strlen 0 def
-/InitParser { dup length /Strlen exch def 0 } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% algExpr variable index -> PSVector
-/DeriveIndexed {%
- 3 1 roll 10240 string 3 1 roll 0 3 1 roll
- /Variable exch def
- tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u,v)'=-(u',v')
-/EvalListOfExpr {%
- 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe
- 2 copy 7 -1 roll dup length 4 1 roll putinterval add
- 6 -2 roll pop pop
- 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (-u)'=-(u')
-/EvalUnaryOp {
- 4 -2 roll 4 index (0) eq
- { (0) StrConcat 7 -1 roll pop }
- { 7 -1 roll 45 eq
- { AddSub AddOpPar true } { false } ifelse
- 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (number)'=0
-/EvalNumber { ReadNumber (0) 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u+v)'=u'+v'
-/EvalAddSub {%
- 7 index dup (0) eq
- { pop true }%% du=0 nothing added
- { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false }
- ifelse
- 5 index dup (0) eq
- { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0
- { exch
- { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added
- { 5 -2 roll 7 index 43 eq%%something yet added
- { AddAdd false } { AddSub AddOpPar true } ifelse }
- ifelse 11 1 roll
- 3 -1 roll StrConcat 10 -1 roll { AddClPar } if
- 2 copy pop 0 6 2 roll GetIntervalNewStr }
- ifelse
- mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u*v)' or (u/v)'
-/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u*v)'=u'*v+u*v'
-/EvalMul {%
- 4 -2 roll 7 index dup (0) eq
- { pop false }%%du=0
- { (1) eq%%du=1
- { false }
- { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
- 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if
- true }%%du!=0
- ifelse
- 5 1 roll 5 index (0) eq
- { 5 -1 roll not { (0) StrConcat } if }%%dv=0
- { 5 -1 roll { AddAdd } if
- 4 index (1) eq
- { 8 index StrConcat }
- { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
- ifelse
- }%%dv!=0
- ifelse
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u/v)'=(u'*v-u*v')/v^2
-/EvalDiv {%
- 4 -2 roll
- 4 index (0) eq%%dv=0 -> u'/v
- { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse }
- { 7 index dup (0) eq
- { pop }%%du=0
- { (1) eq%%du=1
- { false }
- { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse
- 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0
- ifelse
- AddSub
- 4 index (1) eq
- { 8 index StrConcat }
- { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar }
- ifelse
- %}%%dv!=0
- 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar
- AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add }
- ifelse
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str1 index str2 -> str1 index
-/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def
-/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
-/EvalPower {%
- 4 -2 roll 7 index (0) eq
- {%%if du=0 then (u^v)'=v'ln(u)u^v
- 4 index (0) eq
- { (0) StrConcat }%%if dv=0 then (u^v)'=0
- { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if
- 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if
- AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse
- }
- {%%du!=0
- 4 index (0) eq
- {%%if dv=0 then (u^v)'=vu'u^(v-1)
- 5 index dup IsStrNumber
- { dup (0) eq
- { StrConcat }
- { dup dup (1) eq exch (1.0) eq or
- { StrConcat }
- { StrConcat
- 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1
- { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006
- (*\() StrConcat 8 index StrConcat (\)) StrConcat
- 5 index dup dup (2) eq exch (2.0) eq or
- { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse }
- { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat
- 5 index StrConcat (-1\)) StrConcat } ifelse
- }
- {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u)
- 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if
- AddOpPar 5 index StrConcat (\)*\() StrConcat
- 8 index StrConcat (\)^\() StrConcat
- 5 index StrConcat (-1\)+\() StrConcat
- 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if
- 8 index StrConcat (\)^\() StrConcat
- 5 index StrConcat (\)*ln\() StrConcat
- 8 index StrConcat AddClPar
- } ifelse
- } ifelse
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% No derivative for factorial ! only cst => null derivative
-/EvalFactorial {% DR 09/2011
- 4 index (0) eq
- { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll }
- { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% str -> true/false
-/IsStrNumber {%
- true exch
- { dup 48 lt exch dup 57 gt 3 -1 roll or
- exch dup 46 ne%%.
- exch dup 43 ne%%+
- exch 45 ne%%-
- and and and { pop false } if } forall
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalLiteral {%
- ReadLiteral dup 40 eq%%% there is an open par -> function call
- { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec }
- { dup 91 eq%%% there is an open bracket -> vector element
- { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented }
- { pop EvalVariable }
- ifelse }
- ifelse
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% first last parpos Expr[first:parpos-1] ->
-/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% (f(u))'=u'f'(u)
-/EvalFunc {
- 4 2 roll 4 index (1) ne
- { AddOpPar 4 index StrConcat (\)*) StrConcat } if
- (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Func derivative -> Eval<func>
-/EvalFunc_sin {%
- PreCommonFunc
- { (cos\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_cos {%
- PreCommonFunc
- { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_tan {%
- PreCommonFunc
- { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_asin {%
- PreCommonFunc
- { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_acos {%
- PreCommonFunc
- { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_atg {%
- PreCommonFunc
- { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_ln {%
- PreCommonFunc
- { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_exp {%
- PreCommonFunc
- { (exp\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_EXP {%
- PreCommonFunc
- { (EXP\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_sqrt {%
- PreCommonFunc
- { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_Fact {%
- PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if
- PostCommonFunc } def
-/EvalFunc_sh {%
- PreCommonFunc
- { (ch\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_ch {%
- PreCommonFunc
- { (sh\() StrConcat 5 index StrConcat AddClPar } if
- PostCommonFunc } def
-/EvalFunc_th {%
- PreCommonFunc
- { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_Argsh {%
- PreCommonFunc
- { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_Argch {%
- PreCommonFunc
- { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if
- PostCommonFunc } def
-/EvalFunc_Argth {%
- PreCommonFunc
- { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if
- PostCommonFunc } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-/PreCommonFunc {
- 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop
- 4 2 roll 4 index (0) eq
- { (0) StrConcat false }
- { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse
-} def
-/PostCommonFunc {
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-/EvalFunc_Derive {%
- 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs
- 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add
- 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar
- 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval
- exch 6 2 roll } def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalFunc_Sum {%
- 1 add NextNonBlankChar pop
- %% read the variable name
- ReadLiteral pop 3 -1 roll pop NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if
- %% read the initial value
- 1 add NextNonBlankChar pop ReadNumber pop
- 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if
- %% read the increment value
- 1 add NextNonBlankChar pop ReadNumber pop
- 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if
- %% read the limit value
- 1 add NextNonBlankChar pop ReadNumber pop
- 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if
- 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop
- 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat
- 4 index StrConcat AddClPar
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% literal switch -> func call, vector, variables
-/EvalFunc_IfTE {%
- 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond
- NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if
- 1 add NextNonBlankChar pop dup 5 1 roll
- AnalyzeExpr NextNonBlankChar
- 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if
- 1 add NextNonBlankChar pop
- AnalyzeExpr 1 add NextNonBlankChar pop
- 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat
- 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar
- 2 copy pop 0 6 2 roll GetIntervalNewStr
- mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% advance in str until a comma is found (no error detection!)
-%% str index -> str index'
-/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Convert to radians if trigo function call
-%% (name) ->
-/TrigoFunc {
- dup (cos) eq 1 index (sin) eq or exch (tan) eq or
- { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add
- array astore def
- } if
-} def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% No derivative for condition....
-/EvalCondOp { 3 -1 roll pop } bind def
-/PutIntervalOneAdd {putinterval 1 add} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add open parenthesis in string at the given index
-%% str index -> str index+1
-/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add close parenthesis in string at the given index
-%% str index -> str index+1
-/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add 0 in string at the given index
-%% str index -> str index+1
-/AddZero {2 copy (0) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add open parenthesis in string at the given index
-%% str index -> str index+1
-/AddMul {2 copy (*) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add open parenthesis in string at the given index
-%% str index -> str index+1
-/AddDiv {2 copy (/) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add a plus sign in string at the given index
-%% str index -> str index+1
-/AddAdd {2 copy (+) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add a minus sign in string at the given index
-%% str index -> str index+1
-/AddSub {2 copy (-) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Add a pipe sign in string at the given index
-%% str index -> str index+1
-/AddPipe {2 copy (|) PutIntervalOneAdd} bind def
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% H O O K S
-/AnalyzePreHook { dup 5 1 roll } bind def
-/PreEvalHook {} def
-/AnalyzePostHook { 7 -1 roll pop } bind def
-/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def
-/RollOp { 5 1 roll } bind def
-end%%%tx@CoreAnalyzerDict
-/tx@AddMathFunc 12 dict def tx@AddMathFunc begin
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% NEW FUNC
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2))
-%% x -> theta
-/asin {%
- dup abs 1 gt { EQDFasinrangeerror } if
- dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad
-} def
-%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x)
-%% x -> theta
-/acos {%
- dup abs 1 gt { EQDFacosrangeerror } if
- dup dup mul 1 exch sub sqrt exch atan DegtoRad
-} def
-%% function arctangent in radians
-%% x -> theta
-/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def
-%% HYPERBOLIC FUNCTIONS
-/sh { dup Ex exch neg Ex sub 2 div } def
-/ch { dup Ex exch neg Ex add 2 div } def
-/th { dup sh exch ch div } def
-/Argsh { dup dup mul 1 add sqrt add ln } def
-/Argch { dup dup mul 1 sub sqrt add ln } def
-/Argth { dup 1 add exch 1 exch sub div ln 2 div } def
-%% modified exponential funtion for 0
-%% x n -> x^n
-/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def
-%% modified exponential funtion for 0
-%% x -> e^x
-/Ex { Euler exch exp } bind def
-%%
-%% factorial function
-%% n -> n!
-/Fact { 1 exch 2 exch 1 exch { mul } for } bind def
-/fact { Fact } bind def
-/! { Fact } bind def
-end
-%
-% END pst-algparser.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-tools.pro 0 0
-% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $
-%
-%% PostScript tools prologue for pstricks.tex.
-%% Version 0.02, 2012/01/01
-%%
-%% This program can be redistributed and/or modified under the terms
-%% of the LaTeX Project Public License Distributed from CTAN archives
-%% in directory macros/latex/base/lppl.txt.
-%
-%
-/Pi2 1.57079632679489661925640 def
-/factorial { % n on stack, returns n!
- dup 0 eq { 1 }{
- dup 1 gt { dup 1 sub factorial mul } if }
- ifelse } def
-%
-/MoverN { % m n on stack, returns the binomial coefficient m over n
- 2 dict begin
- /n exch def /m exch def
- n 0 eq { 1 }{
- m n eq { 1 }{
- m factorial n factorial m n sub factorial mul div } ifelse } ifelse
- end
-} def
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% subroutines for complex numbers, given as an array [a b]
-% which is a+bi = Real+i Imag
-%
-/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2]
- dup 0 get % [a1 b1] [a2 b2] a2
- 3 -1 roll % [a2 b2] a2 [a1 b1]
- dup 0 get % [a2 b2] a2 [a1 b1] a1
- 3 -1 roll % [a2 b2] [a1 b1] a1 a2
- add % [a2 b2] [a1 b1] a1+a2
- 3 1 roll % a1+a2 [a2 b2] [a1 b1]
- 1 get % a1+a2 [a2 b2] b1
- exch 1 get % a1+a2 b1 b2
- add 2 array astore
-} def
-%
-/cxneg { % [a b]
- dup 1 get % [a b] b
- exch 0 get % b a
- neg exch neg % -a -b
- 2 array astore
-} def
-%
-/cxsub { cxneg cxadd } def % same as negative addition
-%
-% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3]
-/cxmul { % [a1 b1] [a2 b2]
- dup 0 get % [a1 b1] [a2 b2] a2
- exch 1 get % [a1 b1] a2 b2
- 3 -1 roll % a2 b2 [a1 b1]
- dup 0 get % a2 b2 [a1 b1] a1
- exch 1 get % a2 b2 a1 b1
- dup % a2 b2 a1 b1 b1
- 5 -1 roll dup % b2 a1 b1 b1 a2 a2
- 3 1 roll mul % b2 a1 b1 a2 b1a2
- 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1
- 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2
- 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2
- 4 -1 roll add % b1 a2 a1 b2 b3
- 4 2 roll mul % b1 b2 b3 a1a2
- 4 2 roll mul sub % b3 a3
- exch 2 array astore
-} def
-%
-% [a b]^2 = [a^2-b^2 2ab] = [a2 b2]
-/cxsqr { % [a b] square root
- dup 0 get exch 1 get % a b
- dup dup mul % a b b^2
- 3 -1 roll % b b^2 a
- dup dup mul % b b^2 a a^2
- 3 -1 roll sub % b a a2
- 3 1 roll mul 2 mul % a2 b2
- 2 array astore
-} def
-%
-/cxsqrt { % [a b]
-% dup cxnorm sqrt /r exch def
-% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2
- cxlog % log[a b]
- 2 cxrdiv % log[a b]/2
- aload pop exch % b a
- 2.781 exch exp % b exp(a)
- exch cxconv exch % [Re +iIm] exp(a)
- cxrmul %
-} def
-%
-/cxarg { % [a b]
- aload pop % a b
- exch atan % arctan b/a
- DegtoRad % arg(z)=atan(b/a)
-} def
-%
-% log[a b] = [a^2-b^2 2ab] = [a2 b2]
-/cxlog { % [a b]
- dup % [a b][a b]
- cxnorm % [a b] |z|
- log % [a b] log|z|
- exch % log|z|[a b]
- cxarg % log|z| Theta
- cxmake2 % [log|z| Theta]
-} def
-%
-% square of magnitude of complex number
-/cxnorm2 { % [a b]
- dup 0 get exch 1 get % a b
- dup mul % a b^2
- exch dup mul add % a^2+b^2
-} def
-%
-/cxnorm { % [a b]
- cxnorm2 sqrt
-} def
-%
-/cxconj { % conjugent complex
- dup 0 get exch 1 get % a b
- neg 2 array astore % [a -b]
-} def
-%
-/cxre { 0 get } def % real value
-/cxim { 1 get } def % imag value
-%
-% 1/[a b] = ([a -b]/(a^2+b^2)
-/cxrecip { % [a b]
- dup cxnorm2 exch % n2 [a b]
- dup 0 get exch 1 get % n2 a b
- 3 -1 roll % a b n2
- dup % a b n2 n2
- 4 -1 roll exch div % b n2 a/n2
- 3 1 roll div % a/n2 b/n2
- neg 2 array astore
-} def
-%
-/cxmake1 { 0 2 array astore } def % make a complex number, real given
-/cxmake2 { 2 array astore } def % dito, both given
-%
-/cxdiv { cxrecip cxmul } def
-%
-% multiplikation by a real number
-/cxrmul { % [a b] r
- exch aload pop % r a b
- 3 -1 roll dup % a b r r
- 3 1 roll mul % a r b*r
- 3 1 roll mul % b*r a*r
- exch 2 array astore % [a*r b*r]
-} def
-%
-% division by a real number
-/cxrdiv { % [a b] r
- 1 exch div % [a b] 1/r
- cxrmul
-} def
-%
-% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian
-/cxconv { % theta
- RadtoDeg dup sin exch cos cxmake2
-} def
-
-%%%%% ### bubblesort ###
-%% syntax : array bubblesort --> array2 trie par ordre croissant
-%% code de Bill Casselman
-%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/
-/bubblesort { % on stack must be an array [ ... ]
-4 dict begin
- /a exch def
- /n a length 1 sub def
- n 0 gt {
- % at this point only the n+1 items in the bottom of a remain to
- % the sorted largest item in that blocks is to be moved up into
- % position n
- n {
- 0 1 n 1 sub {
- /i exch def
- a i get a i 1 add get gt {
- % if a[i] > a[i+1] swap a[i] and a[i+1]
- a i 1 add
- a i get
- a i a i 1 add get
- % set new a[i] = old a[i+1]
- put
- % set new a[i+1] = old a[i]
- put
- } if
- } for
- /n n 1 sub def
- } repeat
- } if
- a % return the sorted array
-end
-} def
-%
-/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422
- 0 1 index { length add } forall
- string
- 0 3 2 roll
- { 3 copy putinterval length add }forall
- pop
-} bind def
-%
-/dot2comma {% on stack a string (...)
- 2 dict begin
- /Output exch def
- 0 1 Output length 1 sub {
- /Index exch def
- Output Index get 46 eq { Output Index 44 put } if
- } for
- Output
- end
-} def
-%
-%-----------------------------------------------------------------------------%
-% END pst-tools.pro
-
-%%EndProcSet
-%%BeginProcSet: pst-dots.pro 0 0
-% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $
-%
-%% PostScript prologue for pstricks.tex.
-%% Version 2.02, 2009/06/16
-%%
-%% For distribution, see pstricks.tex.
-%%
-%% Timothy Van Zandt <tvz@Princeton.EDU>
-%%
-%% This program can be redistributed and/or modified under the terms
-%% of the LaTeX Project Public License Distributed from CTAN archives
-%% in directory macros/latex/base/lppl.txt.
-%%
-%% Modified by Etienne Riga - Dec. 16, 1999
-%% Modified by Etienne Riga - 2005/01/01 (er)
-%% to add /Diamond, /SolidDiamond and /BoldDiamond
-%% Modified by Herbert Voss (hv) - 2008/04/17
-%
-10 dict dup begin % hold local
- /FontType 3 def
- /FontMatrix [.001 0 0 .001 0 0] def
-% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv
- /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph
- /Encoding 256 array def
- 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef
- Encoding % replace with given dot names
- dup (b) 0 get /Bullet put % get the numerical position of b in ASCII
-% % and save /Bullet at this place in Encoding
- dup (c) 0 get /Circle put
- dup (C) 0 get /BoldCircle put % 67
- dup (u) 0 get /SolidTriangle put
- dup (t) 0 get /Triangle put
- dup (T) 0 get /BoldTriangle put
- dup (r) 0 get /SolidSquare put
- dup (s) 0 get /Square put
- dup (S) 0 get /BoldSquare put
- dup (q) 0 get /SolidPentagon put
- dup (p) 0 get /Pentagon put
- dup (P) 0 get /BoldPentagon put
-%%%
- dup (k) 0 get /Asterisk put
- dup (K) 0 get /BoldAsterisk put
- dup (J) 0 get /SolidAsterisk put
- dup (h) 0 get /Hexagon put
- dup (H) 0 get /BoldHexagon put
- dup (G) 0 get /SolidHexagon put
- dup (f) 0 get /Octogon put % 2008-04-18 hv
- dup (F) 0 get /BoldOctogon put % 2008-04-18 hv
- dup (g) 0 get /SolidOctogon put % 2008-04-18 hv
- dup (a) 0 get /Add put
- dup (A) 0 get /BoldAdd put % 65
- dup (x) 0 get /Mul put
- dup (X) 0 get /BoldMul put
- dup (m) 0 get /Oplus put
- dup (M) 0 get /BOplus put
- dup (e) 0 get /SolidOplus put
- dup (n) 0 get /Otimes put
- dup (N) 0 get /BOtimes put
- dup (E) 0 get /SolidOtimes put
- dup (i) 0 get /Bar put
- dup (I) 0 get /BoldBar put
- dup (l) 0 get /SolidDiamond put
- dup (d) 0 get /Diamond put
- (D) 0 get /BoldDiamond put
-%%%
-/CharProcs 47 dict def
-CharProcs begin
- /CirclePath {0 0 500 0 360 arc closepath} def
- /Bullet {CirclePath fill} def
- /Circle {CirclePath .9 .9 scale CirclePath eofill} def
- /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def
- /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def
- /SolidTriangle {TrianglePath fill} def
- /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def
- /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def
- /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def
- /SolidSquare {SquarePath fill} def
- /Square {SquarePath .89 .89 scale SquarePath eofill} def
- /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def
- /PentagonPath {
- -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto
- 0 574.7 lineto -546.6 177.6 lineto closepath
- } def
- /SolidPentagon {PentagonPath fill} def
- /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def
- /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def
-%-------------- hv begin 2004/07/25 from: er 2003/03/24
- /HexagonPath {
- 0 550 moveto -476 275 lineto -476 -275 lineto
- 0 -550 lineto 476 -275 lineto 476 275 lineto closepath
- } def
- /SolidHexagon {HexagonPath fill} def
- /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def
- /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def
-% 2008-04-18 hv
- /OctogonPath {
- 550 dup 22.5 tan mul dup neg dup add /xMove exch def
- exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def
- /SolidOctogon { OctogonPath fill } def
- /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def
- /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def
-%
- /AsteriskPath {
- 20 0 moveto 10 250 180 500 0 500 curveto
- -180 500 -10 250 -20 0 curveto closepath
- } def
- /Asterisk {
- AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath
- 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill
- } def
-%
- /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def
- /BoldAsteriskPath {
- 50 30 cos 100 mul moveto Basterp
- 60 rotate Basterp 60 rotate Basterp
- 60 rotate Basterp 60 rotate Basterp
- 60 rotate Basterp closepath
- } def
- /BoldAsterisk {BoldAsteriskPath fill} def
- /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def
- /CrossPath {
- 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto
- -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto
- 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath
- } def
- /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto
- -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto
- 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath
- } def
- /Add {CrossPath fill} def
- /Mul {45 rotate CrossPath fill} def
- /BoldAdd {BoldCrossPath fill} def
- /BoldMul {45 rotate BoldCrossPath fill} def
- /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def
- /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def
- /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def
- /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def
- /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def
- /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def
- /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def
- /Bar {BarPath fill} def
- /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def
- /BoldBar {BoldBarPath fill} def
- /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def
- /SolidDiamond {DiamondPath fill} def
- /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def
- /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def
-%%%
- /.notdef { } def
-end
-%
-/BuildGlyph {
- exch
- begin
-% Metrics 1 index get exec 0
- 0 0
-% BBoxes 3 index get exec
- -1000 -1000 1000 1000
-% -571.5 -742.5 571.5 742.5
- setcachedevice
- CharProcs begin load exec end
- end
-} def
-%
-/BuildChar {
- 1 index /Encoding get exch get
- 1 index /BuildGlyph get exec
-} bind def
-%
-end
-/PSTricksDotFont exch definefont pop
-%
-%% end
-
-%%EndProcSet
-%%BeginProcSet: pst-node.pro 0 0
-% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $
-%%
-%% PostScript prologue for pst-node.tex.
-%% Version 1.13, 2011/11/21.
-%%
-%% This program can be redistributed and/or modified under the terms
-%% of the LaTeX Project Public License Distributed from CTAN archives
-%% in directory macros/latex/base/lppl.txt.
-%
-/tx@NodeDict 400 dict def tx@NodeDict begin
-tx@Dict begin % from main pstricks dict
- /T /translate load def
- /CP /currentpoint load def
-end
-/NewNode { % on stack: { x y } boolean N@name type InitXnode
- gsave
- NodeScale % a bugfix for xelatex, it's empty for dvips
- /next exch def % { x y } boolean N@name type
- dict dup % { x y } boolean N@name dict dict
- 3 1 roll def % { x y } boolean dict N@name dict def
- exch { dup 3 1 roll def } if % { x y } dict boolean
- begin % { x y } dict begin
- tx@Dict begin
- STV CP T exec % set scaling
- end
- /NodeMtrx CM def % save CM
- next % InitXNode
- end
- grestore
-} def
-%
-/InitPnode {
- /Y ED /X ED
- /NodePos { NodeSep Cos mul NodeSep Sin mul } def
-} def
-%
-/InitCnode {
- /r ED /Y ED /X ED
- /NodePos { NodeSep r add dup Cos mul exch Sin mul } def
-} def
-%
-/GetRnodePos {
- Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse
- Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse
- dx Sin mul abs dy
- Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse
-} def
-%
-/InitRnode {
- /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED
- /NodePos { GetRnodePos } def
-} def
-%
-/DiaNodePos {
- w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup
- Cos mul exch Sin mul
-} def
-%
-/TriNodePos {
- Sin s lt
- { d NodeSep sub dup Cos mul Sin Div exch }
- { w h mul w Sin mul h Cos abs mul add Div
- NodeSep add dup Cos mul exch Sin mul
- } ifelse
-} def
-%
-/InitTriNode {
- sub 2 div exch
- 2 div exch
- 2 copy T
- 2 copy 4 index index /d ED
- pop pop pop pop
- -90 mul rotate
- /NodeMtrx CM def
- /X 0 def /Y 0 def
- d sub abs neg /d ED
- d add /h ED
- 2 div h mul h d sub Div /w ED
- /s d w Atan sin def
- /NodePos { TriNodePos } def
-} def
-%
-/OvalNodePos {
- /ww w NodeSep add def
- /hh h NodeSep add def
- Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul
-} def
-%
-/GetCenter { begin X Y NodeMtrx transform CM itransform end } def
-%
-/XYPos {
- dup sin exch cos Do
- /Cos ED /Sin ED /Dist ED
- Cos 0 gt
- { Dist Dist Sin mul Cos div }
- { Cos 0 lt
- { Dist neg Dist Sin mul Cos div neg }
- { 0 Dist Sin mul } ifelse
- } ifelse
- Do
-} def
-%
-/GetEdge {
- dup 0 eq
- { pop begin 1 0 NodeMtrx dtransform
- CM idtransform
- exch atan sub
- dup
- sin /Sin ED
- cos /Cos ED
- /NodeSep ED
- NodePos NodeMtrx dtransform CM idtransform end }
- { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse
-} def
-%
-/AddOffset {
- 1 index 0 eq
- { pop pop }
- { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse
-} def
-%
-/GetEdgeA {
- NodeSepA AngleA NodeA NodeSepTypeA GetEdge
- OffsetA AngleA AddOffset
- yA add /yA1 ED
- xA add /xA1 ED
-} def
-%
-/GetEdgeB {
- NodeSepB AngleB NodeB NodeSepTypeB GetEdge
- OffsetB AngleB AddOffset
- yB add /yB1 ED
- xB add /xB1 ED
-} def
-%
-/GetArmA {
- ArmTypeA 0 eq
- { /xA2 ArmA AngleA cos mul xA1 add def
- /yA2 ArmA AngleA sin mul yA1 add def }
- { ArmTypeA 1 eq {{exch}} {{}} ifelse
- /Do ED
- ArmA AngleA XYPos OffsetA AngleA AddOffset
- yA add /yA2 ED
- xA add /xA2 ED } ifelse
-} def
-%
-/GetArmB {
- ArmTypeB 0 eq
- { /xB2 ArmB AngleB cos mul xB1 add def
- /yB2 ArmB AngleB sin mul yB1 add def }
- { ArmTypeB 1 eq {{exch}} {{}} ifelse
- /Do ED
- ArmB AngleB XYPos OffsetB AngleB AddOffset
- yB add /yB2 ED
- xB add /xB2 ED } ifelse
-} def
-%
-/InitNC {
- /b ED /a ED % second and first node
- /NodeSepTypeB ED /NodeSepTypeA ED
- /NodeSepB ED /NodeSepA ED
- /OffsetB ED /OffsetA ED
- tx@NodeDict a known tx@NodeDict b known and dup {
- /NodeA a load def
- /NodeB b load def
- NodeA GetCenter /yA ED /xA ED
- NodeB GetCenter /yB ED /xB ED } if
-} def
-%
-/LPutLine {
- 4 copy
- 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED
- 1 t sub mul
- 3 1 roll 1 t sub mul
- 4 1 roll t mul add /Y ED
- t mul add /X ED
-} def
-%
-/LPutLines {
- mark LPutVar counttomark 2 div 1 sub /n ED
-% t floor dup n gt
- t floor dup n ge % to allow npos<= hv 2008-08-14
- { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse
- cvi 2 mul { pop } repeat
- LPutLine
- cleartomark
-} def
-%
-/BezierMidpoint {
- /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED
- /cx x1 x0 sub 3 mul def
- /cy y1 y0 sub 3 mul def
- /bx x2 x1 sub 3 mul cx sub def
- /by y2 y1 sub 3 mul cy sub def
- /ax x3 x0 sub cx sub bx sub def
- /ay y3 y0 sub cy sub by sub def
- ax t 3 exp mul bx t t mul mul add
- cx t mul add x0 add ay t 3 exp mul
- by t t mul mul add cy t mul add
- y0 add 3 ay t t mul mul mul 2
- by t mul mul add cy add 3 ax t t mul mul mul
- 2 bx t mul mul add cx add atan /NAngle ED
- /Y ED /X ED
-} def
-%
-/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def
-} def
-/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def
-/NAngle yyB yyA sub xxB xxA sub Atan def } def
-/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def
-/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def
-} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit
-} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd
-} def
-/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def
-} def
-/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def
-/NAngle yyB yyA sub xxB xxA sub Atan def } def
-/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def
-/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def
-} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {
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-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTI10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
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-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
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-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
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-%!PS-AdobeFont-1.0: CMR10 003.002
-%%Title: CMR10
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-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
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-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMR10.) readonly def
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-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
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-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
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-%%Title: CMSSBX10
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-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMSSBX10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
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-%%Title: CMBX10
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-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
-%%EndComments
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-%%Title: CMTT10
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-%%CreationDate: Mon Jul 13 16:17:00 2009
-%%Creator: David M. Jones
-%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
-%Copyright: (<http://www.ams.org>), with Reserved Font Name CMTT10.
-% This Font Software is licensed under the SIL Open Font License, Version 1.1.
-% This license is in the accompanying file OFL.txt, and is also
-% available with a FAQ at: http://scripts.sil.org/OFL.
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-/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMTT10.) readonly def
-/FullName (CMTT10) readonly def
-/FamilyName (Computer Modern) readonly def
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