diff options
Diffstat (limited to 'Master')
93 files changed, 29265 insertions, 2668 deletions
diff --git a/Master/texmf-dist/doc/latex/bclogo/LISEZ-MOI b/Master/texmf-dist/doc/latex/bclogo/LISEZ-MOI index 8d5a2822b11..21d3702a63e 100644 --- a/Master/texmf-dist/doc/latex/bclogo/LISEZ-MOI +++ b/Master/texmf-dist/doc/latex/bclogo/LISEZ-MOI @@ -1,6 +1,6 @@ -*- coding: utf-8 -*- Paquet bclogo par Maxime Chupin -Version 2.22 datée du 15 Janvier 2009 +Version 2.24 datée du 09 Septembre 2009 Ce paquet facilite la création de boîtes colorées avec un titre et un logo. Il s'appuie principalement sur PSTricks et/ou sur Tikz. @@ -21,56 +21,97 @@ spir.eps spir.pdf ===== Fichiers pour LaTeX ===== - bc-attention.eps bc-attention.pdf -bc-attention.tex bc-aux-301.eps bc-aux-301.pdf -bc-book.pgf -bc-book.pst +bcbombe.eps +bcbombe.pdf +bc-book.eps +bc-book.pdf +bccalendrier.eps +bccalendrier.pdf bc-coeur.eps bc-coeur.pdf -bc-coeur.tex bc-crayon.eps bc-crayon.pdf -bc-crayon.tex +bccube.eps +bccube.pdf +bcdallemagne.eps +bcdallemagne.pdf bc-danger.eps -bcdanger.pdf -bc-danger.tex +bc-danger.pdf +bcdbelgique.eps +bcdbelgique.pdf +bcdfrance.eps +bcdfrance.pdf +bcditalie.eps +bcditalie.pdf +bcdodecaedre.eps +bcdodecaedre.pdf +bcdpaysbas.eps +bcdpaysbas.pdf +bc-dz.eps +bc-dz.pdf +bceclaircie.eps +bceclaircie.pdf bc-etoile.eps bc-etoile.pdf -bc-etoile.tex bc-fleur.eps bc-fleur.pdf -bc-fleur.tex +bchorloge.eps +bchorloge.pdf +bcicosaedre.eps +bcIcosaedre.eps +bcicosaedre.pdf +bcIcosaedre.pdf +bc-info.eps +bc-info.pdf +bcinterdit.eps +bcinterdit.pdf bc-inter.eps bc-inter.pdf -bc-inter.tex -bc-lampe.pgf -bc-lampe.pst +bc-lampe.eps +bc-lampe.pdf bclogo.sty +bcneige.eps +bcneige.pdf bc-note.eps bc-note.pdf -bc-note.tex +bcoctaedre.eps +bcoctaedre.pdf bc-orne.eps bc-orne.pdf -bc-orne.tex bc-ours.eps bc-ours.pdf -bc-ours.tex -bc-smiley_bonnehumeur.eps -bc-smiley_bonnehumeur.pdf -bc-smiley_bonnehumeur.tex -bc-smiley_mauvaisehumeur.eps -bc-smiley_mauvaisehumeur.pdf -bc-smiley_mauvaisehumeur.tex -bc-takecare.pgf -bc-takecare.pst +bcpluie.eps +bcpluie.pdf +bc-plume.eps +bc-plume.pdf +bcpoisson.eps +bcpoisson.pdf +bcrosevents.eps +bcrosevents.pdf +bc-smiley-bonnehumeur.eps +bc-smiley-bonnehumeur.pdf +bc-smiley-mauvaisehumeur.eps +bc-smiley-mauvaisehumeur.pdf +bcsoleil.eps +bcsoleil.pdf +bcstop.eps +bcstop.pdf +bc-takecare.eps +bc-takecare.pdf +bctetraedre.eps +bctetraedre.pdf bc-trefle.eps bc-trefle.pdf -bc-trefle.tex +bcying.eps +bcying.pdf +doc-bclogo +LISEZ-MOI +README ================== -L'archive bclogo-v2-22.zip contient tout ces fichiers à insérer dans une arborescence LaTeX. +L'archive bclogo-v2-24.zip contient tout ces fichiers à insérer dans une arborescence LaTeX. diff --git a/Master/texmf-dist/doc/latex/bclogo/README b/Master/texmf-dist/doc/latex/bclogo/README new file mode 100644 index 00000000000..a7d65721799 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/README @@ -0,0 +1,115 @@ +Bclogo package by Maxime Chupin +Version 2.24 dated 09/09/2009 + +This package facilitates the creation of colorful boxes with a title and logo. It relies mainly on PSTricks and/or Tikz. + +The documentation pdf (in french) presents the syntax and parameters + +FICHIERS : +===== documentation ===== + +LISEZ-MOI +README +bclogo-doc.pdf +bclogo-doc.tex +brace.eps +brace.pdf +losanges.eps +losanges.pdf +spir.eps +spir.pdf + +===== Fichiers pour LaTeX ===== +bc-attention.eps +bc-attention.pdf +bc-aux-301.eps +bc-aux-301.pdf +bcbombe.eps +bcbombe.pdf +bc-book.eps +bc-book.pdf +bccalendrier.eps +bccalendrier.pdf +bc-coeur.eps +bc-coeur.pdf +bc-crayon.eps +bc-crayon.pdf +bccube.eps +bccube.pdf +bcdallemagne.eps +bcdallemagne.pdf +bc-danger.eps +bc-danger.pdf +bcdbelgique.eps +bcdbelgique.pdf +bcdfrance.eps +bcdfrance.pdf +bcditalie.eps +bcditalie.pdf +bcdodecaedre.eps +bcdodecaedre.pdf +bcdpaysbas.eps +bcdpaysbas.pdf +bc-dz.eps +bc-dz.pdf +bceclaircie.eps +bceclaircie.pdf +bc-etoile.eps +bc-etoile.pdf +bc-fleur.eps +bc-fleur.pdf +bchorloge.eps +bchorloge.pdf +bcicosaedre.eps +bcIcosaedre.eps +bcicosaedre.pdf +bcIcosaedre.pdf +bc-info.eps +bc-info.pdf +bcinterdit.eps +bcinterdit.pdf +bc-inter.eps +bc-inter.pdf +bc-lampe.eps +bc-lampe.pdf +bclogo.sty +bcneige.eps +bcneige.pdf +bc-note.eps +bc-note.pdf +bcoctaedre.eps +bcoctaedre.pdf +bc-orne.eps +bc-orne.pdf +bc-ours.eps +bc-ours.pdf +bcpluie.eps +bcpluie.pdf +bc-plume.eps +bc-plume.pdf +bcpoisson.eps +bcpoisson.pdf +bcrosevents.eps +bcrosevents.pdf +bc-smiley-bonnehumeur.eps +bc-smiley-bonnehumeur.pdf +bc-smiley-mauvaisehumeur.eps +bc-smiley-mauvaisehumeur.pdf +bcsoleil.eps +bcsoleil.pdf +bcstop.eps +bcstop.pdf +bc-takecare.eps +bc-takecare.pdf +bctetraedre.eps +bctetraedre.pdf +bc-trefle.eps +bc-trefle.pdf +bcying.eps +bcying.pdf +doc-bclogo +LISEZ-MOI +README +================== + +The archive bclogo-v2-24.zip contains all the files to insert into a tree LaTeX. diff --git a/Master/texmf-dist/doc/latex/bclogo/README.latex b/Master/texmf-dist/doc/latex/bclogo/README.latex new file mode 100644 index 00000000000..a7d65721799 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/README.latex @@ -0,0 +1,115 @@ +Bclogo package by Maxime Chupin +Version 2.24 dated 09/09/2009 + +This package facilitates the creation of colorful boxes with a title and logo. It relies mainly on PSTricks and/or Tikz. + +The documentation pdf (in french) presents the syntax and parameters + +FICHIERS : +===== documentation ===== + +LISEZ-MOI +README +bclogo-doc.pdf +bclogo-doc.tex +brace.eps +brace.pdf +losanges.eps +losanges.pdf +spir.eps +spir.pdf + +===== Fichiers pour LaTeX ===== +bc-attention.eps +bc-attention.pdf +bc-aux-301.eps +bc-aux-301.pdf +bcbombe.eps +bcbombe.pdf +bc-book.eps +bc-book.pdf +bccalendrier.eps +bccalendrier.pdf +bc-coeur.eps +bc-coeur.pdf +bc-crayon.eps +bc-crayon.pdf +bccube.eps +bccube.pdf +bcdallemagne.eps +bcdallemagne.pdf +bc-danger.eps +bc-danger.pdf +bcdbelgique.eps +bcdbelgique.pdf +bcdfrance.eps +bcdfrance.pdf +bcditalie.eps +bcditalie.pdf +bcdodecaedre.eps +bcdodecaedre.pdf +bcdpaysbas.eps +bcdpaysbas.pdf +bc-dz.eps +bc-dz.pdf +bceclaircie.eps +bceclaircie.pdf +bc-etoile.eps +bc-etoile.pdf +bc-fleur.eps +bc-fleur.pdf +bchorloge.eps +bchorloge.pdf +bcicosaedre.eps +bcIcosaedre.eps +bcicosaedre.pdf +bcIcosaedre.pdf +bc-info.eps +bc-info.pdf +bcinterdit.eps +bcinterdit.pdf +bc-inter.eps +bc-inter.pdf +bc-lampe.eps +bc-lampe.pdf +bclogo.sty +bcneige.eps +bcneige.pdf +bc-note.eps +bc-note.pdf +bcoctaedre.eps +bcoctaedre.pdf +bc-orne.eps +bc-orne.pdf +bc-ours.eps +bc-ours.pdf +bcpluie.eps +bcpluie.pdf +bc-plume.eps +bc-plume.pdf +bcpoisson.eps +bcpoisson.pdf +bcrosevents.eps +bcrosevents.pdf +bc-smiley-bonnehumeur.eps +bc-smiley-bonnehumeur.pdf +bc-smiley-mauvaisehumeur.eps +bc-smiley-mauvaisehumeur.pdf +bcsoleil.eps +bcsoleil.pdf +bcstop.eps +bcstop.pdf +bc-takecare.eps +bc-takecare.pdf +bctetraedre.eps +bctetraedre.pdf +bc-trefle.eps +bc-trefle.pdf +bcying.eps +bcying.pdf +doc-bclogo +LISEZ-MOI +README +================== + +The archive bclogo-v2-24.zip contains all the files to insert into a tree LaTeX. diff --git a/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.eps b/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.eps new file mode 100644 index 00000000000..229834fdfea --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.eps @@ -0,0 +1,271 @@ +%!PS-Adobe-3.0 EPSF-3.0
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diff --git a/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.pdf b/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.pdf Binary files differnew file mode 100644 index 00000000000..5bb65371df1 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcIcosaedre.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps b/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps new file mode 100644 index 00000000000..4add04af43e --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcbombe.eps @@ -0,0 +1,2392 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software +%%Title: CompileEps.dvi +%%CreationDate: Sat Sep 19 14:18:30 2009 +%%BoundingBox: 71 690 90 721 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -E -o +%+ C:\Users\Alain_2\Documents\LaTeX\Logos\bcbombe.eps CompileEps.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2009.09.19:1418 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict 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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{ +/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho +X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B +/@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 +-1 scale}if xflip yflip and{pop S neg 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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. 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Jackowski and J.M. Nowacki (on behalf of TeX USERS GROUPS). +% Supported by CSTUG, DANTE eV, GUST, GUTenberg, NTG, and TUG. +% METATYPE1/Type 1 version by B. Jackowski & J. M. Nowacki +% 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. +% This work consists of the files listed in the MANIFEST-Latin-Modern.txt file. +% ADL: 778 222 0 +%%EndComments +FontDirectory/LMMono10-Regular known{/LMMono10-Regular findfont dup/UniqueID known{dup +/UniqueID get 0 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse +17 dict begin +/FontInfo 9 dict dup begin +/version(1.106)readonly def +/Notice(Copyright 2003--2008 by B. Jackowski and J.M. 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CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub 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 y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse +def 1. 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 1 1 +setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0.502 +0.502 0.502 setrgbcolor 1. .setopacityalpha 1 setlinecap stroke + grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0.502 0.502 0.502 setrgbcolor /ArrowA +{ moveto } def /ArrowB { } def /ArrowInside { } def [ 7.24359 6.977 +-4.9455 6.977 -4.9455 -9.27512 /Lineto /lineto load def false 1 +setlinejoin NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if () length +0 gt { 1.5 2. CLW mul add dup 1.4 mul exch 0.4 mul neg add /arrowlength +exch def 4 copy /y1 ED /x1 ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 +sub Atan def ArrowA x1 Alpha cos arrowlength mul add y1 Alpha sin arrowlength +mul add /n n 1 sub 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 y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x1 Alpha cos ArrowPos +mul add y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse +def 1. 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 1 1 +setrgbcolor 1. .setopacityalpha fill grestore gsave 0.1 SLW 0.502 +0.502 0.502 setrgbcolor 1. .setopacityalpha 1 setlinecap stroke + grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.2 SLW 0 0 0 setrgbcolor [ -4.65782 6.68935 +7.53127 6.68935 7.53127 -9.56277 -4.65782 -9.56277 /Lineto /lineto +load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 +add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows +{ x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos +0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs +def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit +} if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add +currentdict /ArrowInside known { ArrowInside } if pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub +ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside +known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } +def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat +x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def +drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows +pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha + fill grestore gsave 0.2 SLW 0 0 0 setrgbcolor 1. .setopacityalpha + 1 setlinecap stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath 0.2 SLW 0 0 0 setrgbcolor 0.2 SLW 0 0 +0 setrgbcolor /ArrowA { /lineto load stopped { moveto } if } def +/ArrowB { } def /ArrowInside { } def [ -1.21886 -7.3134 -3.06029 -6.31638 +-3.81516 4.20773 -4.65782 6.68935 /currentpoint load stopped pop false +/dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def BezierNArray +n 1 eq { pop pop }{ 2 copy /y0 ED /x0 ED ArrowA n 4 sub 3 idiv { 6 +2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB /y3 ED /x3 +ED /y2 ED /x2 ED /y1 ED /x1 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 +/getValues { ax t0 3 exp mul bx t0 t0 mul mul add cx t0 mul add x0 +add ay t0 3 exp mul by t0 t0 mul mul add cy t0 mul add y0 add 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 } def /getdL { getValues 3 -1 roll +sub 3 1 roll sub Pyth } def /CurveLength { /u 0 def /du 0.01 def 0 +100 { /t0 u def /u u du add def /t u def getdL add } repeat } def /GetArrowPos +{ /ende 0.5 1 gt {ArrowPos} {ArrowPos CurveLength mul} ifelse def +/u 0 def /du 0.01 def /sum 0 def { /t0 u def /u u du add def /t u def +/sum getdL sum add def sum ende gt {exit} if } loop u } def /ArrowPos +0. def /loopNo 0.5 1 gt {CurveLength 0.5 div cvi }{ 1. } ifelse +def loopNo cvi { /ArrowPos ArrowPos dArrowPos add def /t GetArrowPos +def /t0 t 0.95 mul def getValues ArrowInside pop pop pop pop } repeat +x1 y1 x2 y2 x3 y3 curveto } ifelse 0.2 SLW 0 0 0 setrgbcolor /ArrowA +{ /lineto load stopped { moveto } if } def /ArrowB { } def /ArrowInside +{ } def [ 10.97023 -7.3134 /currentpoint load stopped pop /Lineto +/lineto load def false 1 setlinejoin NArray n 0 eq not { n 1 eq { +0 0 /n 2 def } if () length 0 gt { 1.5 2. 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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 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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 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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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 +div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows +{ x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos +0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs +def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit +} if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add +currentdict /ArrowInside known { ArrowInside } if pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub +ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside +known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } +def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat +x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def +drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows +pop pop closepath } ifelse gsave 1 0 0 setrgbcolor 1. .setopacityalpha + fill grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.2 SLW 0 0 0 setrgbcolor [ 0.0 -1.13759 0.50839 +-1.07614 0.9897 -1.03067 1.44464 -1.00099 1.8758 -0.98502 2.28299 -0.98276 +2.66972 -0.993 3.03491 -1.0147 3.38068 -1.04646 3.70837 -1.08864 4.01994 +-1.13863 4.3157 -1.19781 4.59673 -1.26256 4.86629 -1.3332 5.12334 -1.40941 +5.37138 -1.48907 5.61021 -1.57326 5.84125 -1.65848 6.06532 -1.74492 +6.28593 -1.83136 6.50203 -1.9178 6.71588 -2.0032 6.92868 -2.08513 7.14148 +-2.1648 7.35635 -2.23978 7.5747 -2.3092 7.79654 -2.37291 8.0241 -2.42862 +8.25737 -2.47757 8.50073 -2.51732 8.75206 -2.547 9.01485 -2.56505 9.2891 +-2.57199 9.57687 -2.56627 9.87941 -2.54805 10.19792 -2.51385 10.53343 +-2.46507 10.8884 -2.39912 11.26262 -2.31598 11.65732 -2.21582 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10.23767 /Lineto +/lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 +y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n +n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 +x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub +Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add +def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 +Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside +} if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. + 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos +add def x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 +add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat +} ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 +ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED +/y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 +def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0.2 +SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 1.4 SLW 0 0 0 setrgbcolor /ArrowA { moveto +} def /ArrowB { } def /ArrowInside { } def [ 0.0 11.37527 0.0 -13.65028 + /Lineto /lineto load def false 1 setlinejoin NArray n 0 eq not +{ n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +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 +y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos +add def ArrowPos Length gt { exit } if x1 Alpha cos ArrowPos mul add +y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ /ArrowPos +0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. + 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/doc/latex/bclogo/bcdbelgique.pdf b/Master/texmf-dist/doc/latex/bclogo/bcdbelgique.pdf Binary files differnew file mode 100644 index 00000000000..8ca0f29a389 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcdbelgique.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bcdfrance.eps b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.eps new file mode 100644 index 00000000000..fdadd41df69 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.eps @@ -0,0 +1,2414 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software +%%Title: CompileEps.dvi +%%CreationDate: Sat Sep 19 14:16:28 2009 +%%BoundingBox: 71 693 90 721 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -E -o +%+ C:\Users\Alain_2\Documents\LaTeX\Logos\bcdfrance.eps CompileEps.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2009.09.19:1416 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S +N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 +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{ +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 --> 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10.23767 /Lineto /lineto load +def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add +2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows +{ x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos +0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs +def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit +} if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add +currentdict /ArrowInside known { ArrowInside } if pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub +ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside +known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } +def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED 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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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 +div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows +{ x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos +0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs +def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit +} if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add +currentdict /ArrowInside known { ArrowInside } if pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub +ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside +known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } +def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat +x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 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10.23767 /Lineto +/lineto load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 +y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n +n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 +x11 sub atan def /ArrowPos 0. def /Length x12 x11 sub y12 y11 sub +Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos add +def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos mul add y11 +Alpha sin ArrowPos mul add currentdict /ArrowInside known { ArrowInside +} if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. + 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos +add def x12 x11 sub ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 +add currentdict /ArrowInside known { ArrowInside } if pop pop } repeat +} ifelse pop pop Lineto } def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 +ED drawArrows } repeat x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED +/y12 y0 def /x12 x0 def drawArrows /y11 y0 def /x11 x0 def /y12 yy1 +def /x12 xx1 def drawArrows pop pop closepath } ifelse gsave 0.2 +SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap stroke grestore +end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 1.4 SLW 0 0 0 setrgbcolor /ArrowA { moveto +} def /ArrowB { } def /ArrowInside { } def [ 0.0 11.37527 0.0 -13.65028 + /Lineto /lineto load def false 1 setlinejoin NArray n 0 eq not +{ n 1 eq { 0 0 /n 2 def } if () length 0 gt { 1.5 2. CLW mul add dup +1.4 mul exch 0.4 mul neg add /arrowlength exch def 4 copy /y1 ED /x1 +ED /y2 ED /x2 ED /Alpha y2 y1 sub x2 x1 sub Atan def ArrowA x1 Alpha +cos arrowlength mul add y1 Alpha sin arrowlength mul add /n n 1 sub +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 +y1 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos dArrowPos +add def ArrowPos Length gt { exit } if x1 Alpha cos ArrowPos mul add +y1 Alpha sin ArrowPos mul add ArrowInside pop pop } loop }{ /ArrowPos +0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{0.5 } ifelse def 1. + 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/doc/latex/bclogo/bcdfrance.pdf b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.pdf Binary files differnew file mode 100644 index 00000000000..9e8bb487b30 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcdfrance.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bcditalie.eps b/Master/texmf-dist/doc/latex/bclogo/bcditalie.eps new file mode 100644 index 00000000000..4980aa8b078 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcditalie.eps @@ -0,0 +1,2414 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software +%%Title: CompileEps.dvi +%%CreationDate: Sat Sep 19 14:15:29 2009 +%%BoundingBox: 71 693 90 721 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -E -o +%+ C:\Users\Alain_2\Documents\LaTeX\Logos\bcditalie.eps CompileEps.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2009.09.19:1415 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S +N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 +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{ +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{ +/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho +X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B +/@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 +-1 scale}if xflip yflip and{pop S neg 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All rights reserved. +%%BeginResource: procset GS_epswrite_2_0_1001 +/GS_epswrite_2_0_1001 80 dict dup begin +/PageSize 2 array def/setpagesize{ PageSize aload pop 3 index eq exch +4 index eq and{ pop pop pop}{ PageSize dup 1 +5 -1 roll put 0 4 -1 roll put dup null eq {false} {dup where} ifelse{ exch get exec} +{ pop/setpagedevice where +{ pop 1 dict dup /PageSize PageSize put setpagedevice} +{ /setpage where{ pop PageSize aload pop pageparams 3 {exch pop} repeat +setpage}if}ifelse}ifelse}ifelse} bind def +/!{bind def}bind def/#{load def}!/N/counttomark # +/rG{3{3 -1 roll 255 div}repeat setrgbcolor}!/G{255 div setgray}!/K{0 G}! +/r6{dup 3 -1 roll rG}!/r5{dup 3 1 roll rG}!/r3{dup rG}! +/w/setlinewidth #/J/setlinecap # +/j/setlinejoin #/M/setmiterlimit #/d/setdash #/i/setflat # +/m/moveto #/l/lineto #/c/rcurveto # +/p{N 2 idiv{N -2 roll rlineto}repeat}! +/P{N 0 gt{N -2 roll moveto p}if}! +/h{p closepath}!/H{P closepath}! +/lx{0 rlineto}!/ly{0 exch rlineto}!/v{0 0 6 2 roll c}!/y{2 copy c}! +/re{4 -2 roll m exch dup lx exch ly neg lx h}! +/^{3 index neg 3 index neg}! +/f{P fill}!/f*{P eofill}!/s{H stroke}!/S{P stroke}! +/q/gsave #/Q/grestore #/rf{re fill}! +/Y{P clip newpath}!/Y*{P eoclip newpath}!/rY{re Y}! +/|={pop exch 4 1 roll 1 array astore cvx 3 array astore cvx exch 1 index def exec}! +/|{exch string readstring |=}! +/+{dup type/nametype eq{2 index 7 add -3 bitshift 2 index mul}if}! +/@/currentfile #/${+ @ |}! +/B{{2 copy string{readstring pop}aload pop 4 array astore cvx +3 1 roll}repeat pop pop true}! +/Ix{[1 0 0 1 11 -2 roll exch neg exch neg]exch}! +/,{true exch Ix imagemask}!/If{false exch Ix imagemask}!/I{exch Ix image}! +/Ic{exch Ix false 3 colorimage}! +/F{/Columns counttomark 3 add -2 roll/Rows exch/K -1/BlackIs1 true>> +/CCITTFaxDecode filter}!/FX{<</EndOfBlock false F}! +/X{/ASCII85Decode filter}!/@X{@ X}!/&2{2 index 2 index}! +/@F{@ &2<<F}!/@C{@X &2 FX}! +/$X{+ @X |}!/&4{4 index 4 index}!/$F{+ @ &4<<F |}!/$C{+ @X &4 FX |}! +/IC{3 1 roll 10 dict 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Software +%%Title: CompileEps.dvi +%%CreationDate: Sat Sep 19 15:46:20 2009 +%%BoundingBox: 71 701 90 721 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -E -o +%+ C:\Users\Alain_2\Documents\LaTeX\Logos\bchorloge.eps CompileEps.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2009.09.19:1546 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S +N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 +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{ +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 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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 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[1.0 0.0 0.0 1.0 0.0 0.0] FontDot +/Dot { moveto gsave 0.3 0.3 scale (b) show grestore } bind def newpath +n { transform floor .5 add exch floor .5 add exch itransform Dot } +repeat end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -0.8243 0.22095 +-0.22095 -0.8243 5.17262 2.98654 /Lineto /lineto load def false 1 + setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def +/y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 +y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. + def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def +{ /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } +if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict +/ArrowInside known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. + def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. + cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul +x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known +{ ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n +{ 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 +x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows +/y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop +closepath } ifelse gsave 0.4118 0.4118 0.4118 setrgbcolor 1. .setopacityalpha + fill grestore gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha + 0 setlinecap stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.14842 -0.84044 +0.84044 0.14842 -3.49512 2.44725 /Lineto /lineto load def false 1 + setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def +/y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 +y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. + def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def +{ /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit } +if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict +/ArrowInside known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. + def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. + cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul +x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside known +{ ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } def n +{ 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 +x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows +/y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop +closepath } ifelse gsave 0.4118 0.4118 0.4118 setrgbcolor 1. .setopacityalpha + fill grestore gsave 0.1 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/doc/latex/bclogo/bchorloge.pdf b/Master/texmf-dist/doc/latex/bclogo/bchorloge.pdf Binary files differnew file mode 100644 index 00000000000..5eea2a53d2c --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bchorloge.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bcicosaedre.eps b/Master/texmf-dist/doc/latex/bclogo/bcicosaedre.eps new file mode 100644 index 00000000000..cd58d814036 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcicosaedre.eps @@ -0,0 +1,214 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 0 0 18 19 +%%HiResBoundingBox: 0.049219 0.916406 17.952734 18.655859 +%............................................. +%%Creator: AFPL Ghostscript 853 (epswrite) +%%CreationDate: 2009/09/15 09:28:34 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%EndComments +%%BeginProlog +% This copyright applies to everything between here and the %%EndProlog: +% Copyright (C) 2005 artofcode LLC, Benicia, CA. All rights reserved. +%%BeginResource: procset GS_epswrite_2_0_1001 +/GS_epswrite_2_0_1001 80 dict dup begin +/PageSize 2 array def/setpagesize{ PageSize aload pop 3 index eq exch +4 index eq and{ pop pop pop}{ PageSize dup 1 +5 -1 roll put 0 4 -1 roll put dup null eq {false} {dup where} ifelse{ exch get exec} +{ pop/setpagedevice where +{ pop 1 dict dup /PageSize PageSize put setpagedevice} +{ /setpage where{ pop PageSize aload pop pageparams 3 {exch pop} repeat +setpage}if}ifelse}ifelse}ifelse} bind def +/!{bind def}bind def/#{load def}!/N/counttomark # +/rG{3{3 -1 roll 255 div}repeat setrgbcolor}!/G{255 div setgray}!/K{0 G}! +/r6{dup 3 -1 roll rG}!/r5{dup 3 1 roll rG}!/r3{dup rG}! +/w/setlinewidth #/J/setlinecap # +/j/setlinejoin #/M/setmiterlimit #/d/setdash #/i/setflat # +/m/moveto #/l/lineto #/c/rcurveto # +/p{N 2 idiv{N -2 roll rlineto}repeat}! +/P{N 0 gt{N -2 roll moveto p}if}! +/h{p closepath}!/H{P closepath}! +/lx{0 rlineto}!/ly{0 exch rlineto}!/v{0 0 6 2 roll c}!/y{2 copy c}! +/re{4 -2 roll m exch dup lx exch ly neg lx h}! +/^{3 index neg 3 index neg}! +/f{P fill}!/f*{P eofill}!/s{H stroke}!/S{P stroke}! +/q/gsave #/Q/grestore #/rf{re fill}! +/Y{P clip newpath}!/Y*{P eoclip newpath}!/rY{re Y}! +/|={pop exch 4 1 roll 1 array astore cvx 3 array astore cvx exch 1 index def exec}! +/|{exch string readstring |=}! +/+{dup type/nametype eq{2 index 7 add -3 bitshift 2 index mul}if}! +/@/currentfile #/${+ @ |}! +/B{{2 copy string{readstring pop}aload pop 4 array astore cvx +3 1 roll}repeat pop pop true}! +/Ix{[1 0 0 1 11 -2 roll exch neg exch neg]exch}! +/,{true exch Ix imagemask}!/If{false exch Ix imagemask}!/I{exch Ix image}! +/Ic{exch Ix false 3 colorimage}! +/F{/Columns counttomark 3 add -2 roll/Rows exch/K -1/BlackIs1 true>> +/CCITTFaxDecode filter}!/FX{<</EndOfBlock false F}! +/X{/ASCII85Decode filter}!/@X{@ X}!/&2{2 index 2 index}! +/@F{@ &2<<F}!/@C{@X &2 FX}! +/$X{+ @X |}!/&4{4 index 4 index}!/$F{+ @ &4<<F |}!/$C{+ @X &4 FX |}! +/IC{3 1 roll 10 dict begin 1{/ImageType/Interpolate/Decode/DataSource +/ImageMatrix/BitsPerComponent/Height/Width}{exch def}forall +currentdict end image}! +/~{@ read {pop} if}! +end readonly def +%%EndResource +/pagesave null def +%%EndProlog +%%Page: 1 1 +%%BeginPageSetup +GS_epswrite_2_0_1001 begin +/pagesave save store 197 dict begin +0.1 0.1 scale +%%EndPageSetup +gsave mark +Q q +0 0 180 0 0 187 ^ Y +167 15 45 rG +47.89 137.91 23.28 -89.95 -66.15 28.42 f +0.9962 w +1 J +1 j +47.89 137.91 23.28 -89.95 -66.15 28.42 H +S +76 7 21 rG +47.89 137.91 -42.87 -61.54 25.27 82.86 f +47.89 137.91 -42.87 -61.54 25.27 82.86 H +S +81 7 22 rG +47.89 137.91 -17.61 21.32 81.77 22.8 f +47.89 137.91 -17.61 21.32 81.77 22.8 H +S +173 16 47 rG +47.89 137.91 64.16 44.13 25.27 -68.77 f +47.89 137.91 64.16 44.13 25.27 -68.77 H +S +220 20 60 rG +47.89 137.91 89.43 -24.65 -66.15 -65.3 f +47.89 137.91 89.43 -24.65 -66.15 -65.3 H +S +99 9 27 rG +175 119.35 -37.68 -6.09 -25.27 68.77 f +175 119.35 -37.68 -6.09 -25.27 68.77 H +S 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rG +108.85 147.77 23.28 -89.95 S +173 16 47 rG +132.13 57.81 -89.43 24.65 25.27 -68.77 f +0.9962 w +132.13 57.81 -89.43 24.65 25.27 -68.77 H +S +7.9701 w +255 182 193 rG +132.13 57.81 -89.43 24.65 S +76 7 21 rG +132.13 57.81 17.61 -21.32 25.27 82.86 f +0.9962 w +132.13 57.81 17.61 -21.32 25.27 82.86 H +S +7.9701 w +255 182 193 rG +175 119.35 -25.27 -82.86 S +175 119.35 -42.87 -61.54 S +81 7 22 rG +132.13 57.81 -64.16 -44.12 81.77 22.8 f +0.9962 w +132.13 57.81 -64.16 -44.12 81.77 22.8 H +S +7.9701 w +255 182 193 rG +149.73 36.49 -81.77 -22.8 S +149.73 36.49 -17.61 21.32 S +132.13 57.81 -64.16 -44.12 S +182 17 50 rG +30.29 159.23 12.41 -76.77 66.15 65.3 f +0.9962 w +30.29 159.23 12.41 -76.77 66.15 65.3 H +S +7.9701 w +255 182 193 rG +42.7 82.46 66.15 65.3 S +105 10 29 rG +5.02 76.37 37.68 6.09 -12.41 76.77 f +0.9962 w +5.02 76.37 37.68 6.09 -12.41 76.77 H +S +7.9701 w +255 182 193 rG +5.02 76.37 25.27 82.86 S +42.7 82.46 -12.41 76.77 S +99 9 27 rG +5.02 76.37 62.94 -62.68 -25.27 68.77 f 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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] +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 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bop 0 TeXcolorgray 0 150 a + tx@Dict begin gsave CM STV CP newpath moveto 3.0 neg 0 rmoveto clip +setmatrix end + 0 150 a +0 150 142 150 v 142 150 a + currentpoint grestore moveto + 142 150 a 71 71 a @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.4 SLW 0 0 0 setrgbcolor 0 360 8.53181 8.53181 +0.0 0.0 Ellipse closepath gsave 1 1 1 setrgbcolor 1. .setopacityalpha + fill grestore gsave 0.4 SLW 0 0 0 setrgbcolor 1. .setopacityalpha + 0 setlinecap stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.4 SLW 0 0 0 setrgbcolor 0 360 7.75616 7.75616 +0.0 0.0 Ellipse closepath gsave 1 0 0 setrgbcolor 1. .setopacityalpha + fill grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.4 SLW 0 0 0 setrgbcolor [ 5.04146 -1.16338 +5.04146 1.16338 -5.04146 1.16338 -5.04146 -1.16338 /Lineto /lineto +load def false 1 setlinejoin 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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 +add 2 div def /y1 y0 y1 add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows +{ x11 y11 0.5 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos +0. def /Length x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs +def { /ArrowPos ArrowPos dArrowPos add def ArrowPos Length gt { exit +} if x11 Alpha cos ArrowPos mul add y11 Alpha sin ArrowPos mul add +currentdict /ArrowInside known { ArrowInside } if pop pop } loop }{ +/ArrowPos 0. def /dArrowPos 1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } +ifelse def 1. cvi { /ArrowPos ArrowPos dArrowPos add def x12 x11 sub +ArrowPos mul x11 add y12 y11 sub ArrowPos mul y11 add currentdict /ArrowInside +known { ArrowInside } if pop pop } repeat } ifelse pop pop Lineto } +def n { 4 copy /y11 ED /x11 ED /y12 ED /x12 ED drawArrows } repeat +x1 y1 x0 y0 6 4 roll 2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def +drawArrows /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows +pop pop closepath } ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha + fill grestore end + +@endspecial eop end +%%Trailer + +userdict /end-hook known{end-hook}if +%%EOF diff --git a/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf b/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf Binary files differnew file mode 100644 index 00000000000..09c8f50ab55 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcinterdit.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.pdf b/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.pdf Binary files differindex d20d4820d99..e580cdbd4db 100644 --- a/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.pdf +++ b/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.tex b/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.tex index 9628f1d8e20..f02d03337b6 100644 --- a/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.tex +++ b/Master/texmf-dist/doc/latex/bclogo/bclogo-doc.tex @@ -1,7 +1,7 @@ -\documentclass[ a4paper, 11pt]{article} +\documentclass[ a4paper, 10pt]{article} \usepackage[utf8]{inputenc} -\usepackage[garamond]{mathdesign} -\usepackage{bclogo} +\usepackage[charter]{mathdesign} +\usepackage[blur]{bclogo} \usepackage{verbatim} \usepackage[margin=2.5cm]{geometry} \usepackage{amsmath} @@ -10,11 +10,19 @@ \usepackage{multicol} \usepackage{listings} \usepackage{pifont} +\usepackage{lipsum} \usepackage{url} \definecolor{cPG}{RGB}{235, 227, 150} \definecolor{link}{RGB}{150, 81, 0} \usepackage[colorlinks, linkcolor=link]{hyperref} +\definecolor{fbase}{gray}{0.95} +\usepackage{framed} +\newenvironment{gbar}[1]{% + \def\FrameCommand{{\color{#1}\vrule width 3pt}\colorbox{fbase}}% + \MakeFramed {\advance\hsize-\width \FrameRestore}}% +{\endMakeFramed} + \definecolor{vert}{RGB}{0,105,29} \definecolor{bleu}{RGB}{78,88,169} \lstset{% general command to set parameter(s) @@ -27,7 +35,8 @@ stringstyle=\ttfamily, % typewriter type for strings showstringspaces=false, language=[LaTeX]TeX, - defaultdialect=[LaTeX]TeX + defaultdialect=[LaTeX]TeX, + morekeywords={RequirePackage} } \lstdefinestyle{numbers} {numbers=left, stepnumber=1, numberstyle=\tiny, numbersep=10pt} @@ -49,9 +58,9 @@ \definecolor{cPG}{RGB}{235, 227, 150} -\title{\texttt{bclogo} version 2.22} -\author{ Maxime \textsc{Chupin} et Patrick \textsc{Fradin} \footnote{Merci à Jean-Côme \textsc{Charpentier}, Ulrike \textsc{Fischer} et Manuel \textsc{Pégourié-Gonnard}}\\\url{notezik@gmail.com}} -\date{12 Janvier 2009} +\title{\texttt{bclogo} version 2.24} +\author{ Maxime \textsc{Chupin} et Patrick \textsc{Fradin} \footnote{Merci à tous ceux qui ont participé, entre autres, Jean-Côme \textsc{Charpentier}, Ulrike \textsc{Fischer} et Manuel \textsc{Pégourié-Gonnard}\dots}\\\url{notezik@gmail.com}} +\date{10 Septembre 2009} \begin{document} @@ -63,9 +72,7 @@ Ce paquet permet la création, via \texttt{Pstricks} ou \texttt{Tikz}, de boîte \vspace*{2cm} \begin{bclogo}[couleur = cPG, cadreTitre = true, arrondi = 0.1]{Le paquet \texttt{bclogo}} -Voici les logos : -\begin{multicols}{2} - +\begin{multicols}{3} \begin{itemize} \item La fleur : \bcfleur \item Le chantier : \bcpanchant @@ -78,13 +85,38 @@ Voici les logos : \item Le crayon : \bccrayon \item Attention : \bcattention \item Le c\oe ur : \bccoeur -\item Ornement : \bcdanger +\item Danger : \bcdanger \item Smiley heureux : \bcsmbh \item Smiley malheureux : \bcsmmh \item Le trèfle : \bctrefle \item Le livre : \bcbook \item Ornement : \bcorne{} -\item Le pique de \LaTeX{} : \bcspadesuit +\item Info : \bcinfo +\item La plume : \bcplume +\item Le pic de \LaTeX{} : \bcspadesuit +\item La bombe : \bcbombe +\item Le cube : \bccube +\item Le dodecaèdre : \bcdodecaedre +\item L'icosaèdre : \bcicosaedre +\item L'octaèdre : \bcoctaedre +\item Le tétraèdre : \bctetraedre +\item L'Allemagne : \bcdallemagne +\item La Belgique : \bcdbelgique +\item La France : \bcdfrance +\item L'Italie : \bcditalie +\item Les Pays Bas : \bcdpaysbas +\item Le soleil : \bcsoleil +\item L'éclaircie : \bceclaircie +\item La pluie : \bcpluie +\item La neige : \bcneige +\item Le sens interdit : \bcinterdit +\item Le stop : \bcstop +\item Le poisson : \bcpoisson +\item L'horlage : \bchorloge +\item Le calendrier : \bccalendrier +\item La rose des vents : \bcrosevents +\item Le ying et le yang : \bcying +\item Danger glissant : \bcdz \end{itemize} \end{multicols} @@ -110,6 +142,7 @@ Pour son bon fonctionnement, il est nécessaire d'avoir les paquets suivants ins \item \verb+xkeyval+ \item \verb+pst-coil+ \item \verb+ifthen+ +\item \verb+pst-blur+ si l'on souhaite utiliser la fonction (voir section \ref{blur}) \end{enum} \end{multicols} et/ou \texttt{tikz} et ses librairies \texttt{shadows} et \texttt{decorations.pathmorphing}. @@ -117,9 +150,9 @@ et/ou \texttt{tikz} et ses librairies \texttt{shadows} et \texttt{decorations.pa \verb+xkeyval+ et \verb+ifthen+ sont nécessaires dans les deux utilisations. \end{bclogo} -\section{La chargement du paquet} +\section{Le chargement du paquet} -Depuis la version 2.0 de \texttt{bclogo}, le chargement s'effectue avec deux options, soit on utilise \texttt{pstricks} (par défaut)\footnote{Ceci est issue d'un conseil d'Herbert \textsc{Voss} qui vérifie à chaque nouvelle version le code, merci à lui.} soit \texttt{tikz}. Ceci s'effectue dans le préambule du document \LaTeX{} : +Depuis la version 2.0 de \texttt{bclogo}, le chargement s'effectue avec deux options, soit on utilise \texttt{pstricks} (par défaut)\footnote{sur un conseil d'Herbert \textsc{Voss} qui vérifie à chaque nouvelle version le code, merci à lui.} soit \texttt{tikz}. Ceci s'effectue dans le préambule du document \LaTeX{} : \begin{Code} \begin{lstlisting} @@ -172,16 +205,38 @@ On définit la couleur de fond grâce à \texttt{couleur = <macouleur>}, par exe \bigskip Ce qui donne : - +\medskip \begin{bclogo}[couleur = blue!30]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple\dots \end{bclogo} -\bigskip +\medskip Par défaut la couleur est blanche. +\subsection{La couleur du trait de bord} + +Cette nouvelle option a été créée sur la demmande de Philippe \bsc{Fortemps}. On commande la couleur du trait de bord par \texttt{couleurBord=<couleur>}. Voici un exemple~: +\begin{Code} +\begin{lstlisting} +\begin{bclogo}[couleur = blue!30,couleurBord=red!30]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} +\end{lstlisting} +\end{Code} +\bigskip + +Ce qui donne : +\medskip +\begin{bclogo}[couleur = blue!30,couleurBord=red!30]{Mon Titre} + Du texte qui se répète encore et encore pour l'exemple, du texte qui + se répète encore et encore pour l'exemple, du texte qui se répète + encore et encore pour l'exemple\dots +\end{bclogo} + \subsection{L'arrondi des coins} On commande la taille de l'arrondi dans les options de la manière suivante \texttt{arrondi=<valeur>}, elle\footnote{Avant la version 2.22, les arrondis pstricks étaient relatifs, ils sont maintenant absolus.} se règle en cm : @@ -198,12 +253,13 @@ On commande la taille de l'arrondi dans les options de la manière suivante \tex \bigskip Ce qui donne : +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple\dots \end{bclogo} -\bigskip +\medskip Par défaut, l'arrondi est à 0. @@ -227,29 +283,82 @@ Le second style, plus élaboré, est un cadre avec un gradient de couleur \texti \bigskip Ce qui donne : - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, cadreTitre = true]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple\dots \end{bclogo} +\subsubsection{Sous-titre} + +Si on utilise le style de titre sans cadre (\textit{i.e.} le style par défaut) alors on peut définir un sous-titre grâce à la commande \texttt{sousTitre=<Mon sous-titre>}\footnote{Cette option a été mise en place sur la demande de Gaétan \textsc{Marris}}. Par exemple~: + +\begin{Code} +\begin{lstlisting} +\begin{bclogo}[couleur=blue!30, arrondi=0.1, sousTitre= Mon sous-titre]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} +\end{lstlisting} +\end{Code} + \bigskip + +Ce qui donne : +\medskip +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, sousTitre= Mon sous-titre]{Mon Titre} + Du texte qui se répète encore et encore pour l'exemple, du texte qui + se répète encore et encore pour l'exemple, du texte qui se répète + encore et encore pour l'exemple\dots +\end{bclogo} +\medskip +\paragraph{Le style du sous-titre} On peut redéfinir le style de sous-titre comme ceci~: +\begin{lstlisting} +\renewcommand\styleSousTitre[1]{\textsl{#1}} +\end{lstlisting} + +\renewcommand\styleSousTitre[1]{\textsl{#1}} + +On obtient alors + +\medskip +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, sousTitre= Mon sous-titre]{Mon Titre} + Du texte qui se répète encore et encore pour l'exemple, du texte qui + se répète encore et encore pour l'exemple, du texte qui se répète + encore et encore pour l'exemple\dots +\end{bclogo} +\medskip + + +Dans \texttt{bclogo}, \verb+\styleSousTitre+ est définie comme ceci~: + +\begin{lstlisting} +\newcommand\styleSousTitre[1]{\normalsize\textit{#1}} +\end{lstlisting} + +\renewcommand\styleSousTitre[1]{\normalsize\textit{#1}} + \subsection{Les logos} -C'est là que réside l'originalité de \texttt{bclogo}\dots{} Pour la plupart, je les ai dessinés avec \textit{Inkscape} et exportés en PSTricks. +C'est là que réside l'originalité de \texttt{bclogo}\dots{} Pour la plupart des logos, je les ai dessinés avec \textit{Inkscape} et exportés en PSTricks. Pour d'autres, Patrick \bsc{Fradin} et Alphonse \bsc{Capriani} ont utilisé le super \TeX{}graph. -Il y a depuis la version 2.0, plusieurs façons de créer des logos, soit au format \texttt{pstricks}, soit au format \texttt{pgf}, soit au format \texttt{eps}, soit au format \texttt{pdf}. Des commandes sont définies appelant les fichiers aux différents formats. +Depuis la version 2.4, deux formats sont utilisés, soit \texttt{eps}, soit \texttt{pdf}. La création de logo est un travail amusant, ceux qui veulent y participer n'ont qu'à me contacter par mail (les logos sont définis avec une largeur de 17pt, la hauteur est plus ou moins libre dans la mesure du raisonnable). Lors de la création des logos il faut veiller à permettre la double utilisation \texttt{tikz} et \texttt{pstricks}. +Je remercie tout ceux qui participent à la création de logo et en particulier Alphonse \bsc{Capriani} qui a doublé la collection (du logo bombe au logo ying). Voici la liste des logos : +\medskip + \begin{bclogo}[arrondi=0.1, logo=\bcpanchant, couleur= cPG, cadreTitre = true]{Les logos} +\begin{multicols}{2} \begin{enumerate} \item la fleur : commande \verb+\bcfleur+ \raisebox{-3mm}{\bcfleur} \item \og{}en chantier\fg{} : commande \verb+\bcpanchant+ \raisebox{-3mm}{\bcpanchant} (Jean-Michel \textsc{Sarlat}) -\item la note : commande \verb+\bcnote+ \raisebox{-3mm}{\bcnote} (Thomas \textsc{Labarrusias}) +\item la note : commande \verb+\bcnote+ \raisebox{-3mm}{\bcnote} (Thomas \textsc{Labarussias}) \item l'étoile : commande \verb+\bcetoile+ \raisebox{-3mm}{\bcetoile} \item l'ourson : commande \verb+\bcours+ \raisebox{-3mm}{\bcours} \item \og{}attention\fg{} : commande \verb+\bcattention+ \raisebox{-3mm}{\bcattention} @@ -265,7 +374,33 @@ Voici la liste des logos : \item Le point d'interrogation : commande \verb+\bcquestion+ \raisebox{-3mm}{\bcquestion} \item Le crayon : commande \verb+\bccrayon+ \raisebox{-1mm}{\bccrayon} (Anne-Sophie \textsc{Philippe}) \item Le pique de \LaTeX{} : commande \verb+\bcspadesuit+ {\bcspadesuit} +\item Logo info : commande \verb+\bcinfo+ \raisebox{-2mm}{\bcinfo} (Thomas \textsc{Labarussias}) +\item La plume : commande \verb+\bcplume+ \raisebox{-2mm}{\bcplume} +\item La bombe : commande \verb+\bcbombe+ \raisebox{-2mm}{\bcbombe} +\item La cube : commande \verb+\bccube+ \raisebox{-2mm}{\bccube} +\item La dodécaèdre : commande \verb+\bcdodecaedre+ \raisebox{-2mm}{\bcdodecaedre} +\item L'icosaèdre : commande \verb+\bcicosaedre+ \raisebox{-2mm}{\bcicosaedre} +\item L'octaèdre : commande \verb+\bcoctaedre+ \raisebox{-2mm}{\bcoctaedre} +\item La tétraèdre : commande \verb+\bctetraedre+ \raisebox{-2mm}{\bctetraedre} +\item L'Allemagne : commande \verb+\bcdallemagne+ (noter le \texttt{d} comme drapeau) \raisebox{-2mm}{\bcdallemagne} +\item La Belgique : commande \verb+\bcdbelgique+ \raisebox{-2mm}{\bcdbelgique} +\item La France : commande \verb+\bcdfrance+ \raisebox{-2mm}{\bcdfrance} +\item L'Italie : commande \verb+\bcditalie+ \raisebox{-2mm}{\bcditalie} +\item Les Pays-Bas : commande \verb+\bcdpaysbas+ \raisebox{-2mm}{\bcdpaysbas} +\item Le soleil : commande \verb+\bcsoleil+ \raisebox{-2mm}{\bcsoleil} +\item L'éclaircie : commande \verb+\bceclaircie+ \raisebox{-2mm}{\bceclaircie} +\item La pluie : commande \verb+\bcpluie+ \raisebox{-2mm}{\bcpluie} +\item La neige : commande \verb+\bcneige+ \raisebox{-2mm}{\bcneige} +\item Le sens interdit : commande \verb+\bcinterdit+ \raisebox{-2mm}{\bcinterdit} +\item Le stop : commande \verb+\bcstop+ \raisebox{-2mm}{\bcstop} +\item Le poisson : commande \verb+\bcpoisson+ \raisebox{-2mm}{\bcpoisson} +\item L'horloge : commande \verb+\bchorloge+ \raisebox{-2mm}{\bchorloge} +\item Le calendrier : commande \verb+\bccalendrier+ \raisebox{-2mm}{\bccalendrier} +\item La rose des vents : commande \verb+\bcrosevents+ \raisebox{-2mm}{\bcrosevents} +\item Le ying et le yang : commande \verb+\bcying+ \raisebox{-2mm}{\bcying} +\item Danger glkissant : commande \verb+\bcdz+ \raisebox{-2mm}{\bcdz} (Vincent \bsc{Pantaloni}) \end{enumerate} +\end{multicols} \end{bclogo} Par exemple, @@ -281,22 +416,23 @@ Par exemple, \end{Code} produit : - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bctrefle]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple\dots \end{bclogo} -\paragraph{Remarque :} On peut se définir soi-même de nouvelle commande de logo sans pour autant que ces logos soient disponible dans \verb+bclogo+. Par exemple, pour obtenir le \emph{coeur} de \LaTeX{} $\heartsuit$, il suffit de définir dans le préambule de document la commande : +\paragraph{Remarque :} On peut se définir soi-même de nouvelles commandes de logo sans pour autant que ces logos soient disponibles dans \verb+bclogo+. Par exemple, pour obtenir le \emph{coeur} de \LaTeX{} $\heartsuit$, il suffit de définir dans le préambule de document la commande : \begin{lstlisting} \newcommand\bcheartsuit{\centering \huge $\heartsuit$} \end{lstlisting} -donnera le même resultat que pour le pique \LaTeX{} (attention \verb+\bcheartsuit+ n'est pas définie dans \verb+bclogo+). +Ceci donnera le même resultat que pour le pique \LaTeX{} (attention \verb+\bcheartsuit+ n'est pas définie dans \verb+bclogo+). On peut aussi faire ceci pour un code \verb+pstricks+, \verb+pgf+, une image\dots{} Voici trois exemples illustrant respectivement les trois cas mentionnés : + \begin{Code} \begin{lstlisting} % mon logo code pstricks @@ -308,6 +444,22 @@ On peut aussi faire ceci pour un code \verb+pstricks+, \verb+pgf+, une image\dot \end{lstlisting} \end{Code} +\subsubsection{Taille des logos} + +On peut redéfinir la taille des logos en largeur. Par défaut celle-ci est de 17pt. Cette redéfinition s'effectue de la manière suivante~: +\begin{lstlisting} +\renewcommand\logowidth{<valeur>pt} +\end{lstlisting} + +Par exemple, une redifinition à 10pt donnera~: +\medskip +\renewcommand\logowidth{10pt} +\begin{bclogo}[couleur = blue!30, arrondi = 0.1]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} +\renewcommand\logowidth{17pt} \subsection{L'ombre} La gestion de l'ombre se règle comme les autres options. Par défaut, il n'y en a pas (la valeur \texttt{ombre} vaut \texttt{false}). On active l'ombre avec la commande \texttt{ombre = true}. Par exemple : @@ -323,6 +475,8 @@ La gestion de l'ombre se règle comme les autres options. Par défaut, il n'y en \end{Code} Ce qui produit : +\medskip + \begin{bclogo}[couleur = blue!30, arrondi = 0.1, ombre = true]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui se répète encore et encore pour l'exemple, du texte qui se répète @@ -348,6 +502,7 @@ Voici un exemple illustrant les deux options : \end{Code} produit : +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, ombre = true, epOmbre = 0.25, couleurOmbre = black!30]{Mon Titre} Du texte qui se répète encore et encore pour l'exemple, du texte qui @@ -355,6 +510,36 @@ produit : encore et encore pour l'exemple\dots \end{bclogo} +\subsubsection{Le paramètre \texttt{blur}} + +Depuis la version 2.24, on a rajouté l'option proposée par le paquet \texttt{pst-blur}. L'utilisation de celle-ci est légèrement plus compliquée que celle des autres. + +Si on utilise \texttt{pstricks}, alors, lors du chargement de \texttt{bclogo}, il faut mettre l'option \texttt{blur} qui permet de «~charger~» \texttt{pst-blur}. +\begin{lstlisting} +\usepackage[blur]{pstricks} +\end{lstlisting} + +Si on utilise \texttt{tikz}, alors il n'y a pas besoin de rajouter l'option \texttt{blur} au chargement de \texttt{bclogo}. + +L'utilisation de cette option ne diffère pas selon \texttt{tikz} ou \texttt{pstricks}. On procède de la façon suivante~: + +\begin{Code} +\begin{lstlisting}[ breaklines=true,breakindent=30pt] +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, ombre = true, couleurOmbre = black!60,blur]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} +\end{lstlisting} +\end{Code} + +produit : +\medskip +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, ombre = true, couleurOmbre = black!60,blur]{Mon Titre} + Du texte qui se répète encore et encore pour l'exemple, du texte qui + se répète encore et encore pour l'exemple, du texte qui se répète + encore et encore pour l'exemple\dots +\end{bclogo} \subsection{Styles de barre} @@ -376,14 +561,14 @@ Par défaut, on a une barre verticale droite comme dans tous les exemples préc \end{lstlisting} \end{Code} donne : - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, epBarre = 4.5]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple\dots \end{bclogo} -Par défaut cette valeur \texttt{epBarre = 1.5pt}. +Par défaut cette valeur est \texttt{epBarre = 1.5pt}. \subsubsection{La barre «~zigzag~»} @@ -399,6 +584,7 @@ Ce style de barre s'obtient avec la commande \texttt{barre=zigzag}. Par exemple \end{Code} donne +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = zigzag]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -418,7 +604,7 @@ Ce style de barre s'obtient avec la commande \texttt{barre=snake}. Par exemple : \end{Code} donne - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = snake]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -439,7 +625,7 @@ Pour ces deux styles de barre, on règle la taille (ou amplitude) de l'ondulatio \end{Code} donne - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = snake,tailleOndu = 1.5]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -461,6 +647,7 @@ Cette fonction permet de répéter verticalement un motif quelconque à la place \end{lstlisting} \end{Code} donne +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = motif,motifBarre = $\star$]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -468,12 +655,13 @@ donne se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple\dots \end{bclogo} +\medskip -Si je dispose d'une image personnelle \texttt{spir.eps}\footnote{Ici, j'utilise un \texttt{.eps} mais un utilisateur de \texttt{pdflatex} peut très bien utiliser un \texttt{jpg}, \texttt{pdf}\dots} \includegraphics{spir.eps}, il suffit de mettre : +Si je dispose d'une image personnelle, par exemple \texttt{spir.eps}\footnote{Ici, j'utilise un \texttt{.eps} mais un utilisateur de \texttt{pdflatex} peut très bien utiliser un \texttt{jpg}, \texttt{pdf}\dots} \includegraphics{spir.eps}, il suffit de mettre : \verb+motifBarre = \includegraphics{spir}+. Ceci donne : - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = motif,motifBarre = \includegraphics{spir}]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -481,8 +669,12 @@ Si je dispose d'une image personnelle \texttt{spir.eps}\footnote{Ici, j'utilise se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple\dots \end{bclogo} +\medskip + +Un autre exemple pour donner des idées\dots +\medskip -\begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = motif,motifBarre = \includegraphics{bc-inter}]{Mon Titre} +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = motif,motifBarre = {\includegraphics[width=8pt]{bc-inter}}]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple\dots Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui @@ -492,11 +684,11 @@ Si je dispose d'une image personnelle \texttt{spir.eps}\footnote{Ici, j'utilise \subsubsection{Image personnelle «~étendue~»} -Si je dispose d'une image, par exemple \texttt{brace.eps} +Si je dispose d'une image, par exemple \texttt{brace.eps}\footnote{Comme précédemment, les utilisateurs de pdf\LaTeX{} peuvent utiliser une image pdf.} \includegraphics{brace.eps} - grâce à la commande \texttt{barre = imageExt} couplée avec \texttt{imageBarre = brace} je l'obtiens «~étirée~» à la place de la barre verticale. Par exemple : + grâce à la commande \texttt{barre = imageExt} couplée avec \texttt{imageBarre = brace}, je l'obtiens «~étirée~» à la place de la barre verticale. Par exemple : \begin{Code} \begin{lstlisting}[ breaklines=true,breakindent=30pt] @@ -510,6 +702,7 @@ Si je dispose d'une image, par exemple \texttt{brace.eps} \end{lstlisting} \end{Code} donne +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = imageExt,imageBarre = brace]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -520,11 +713,11 @@ donne \subsubsection{Image personnelle «~clippée~»} -Si l'on dispose d'un image personnelle (très longue), on peut grâce à la commade \texttt{barre=imageClip} couplée encore avec la commande \texttt{imageBarre = <monimage>}. On obtient à la place de la barre verticale, l'image «~tronquée~». Par exmple, si je dispose de l'image \texttt{losanges.eps} (image tournée de 90 degrès) : +Si on dispose d'une image personnelle (assez longue de préférence), on peut grâce à la commade \texttt{barre=imageClip} couplée encore une fois avec la commande \texttt{imageBarre = <monimage>}. On obtient à la place de la barre verticale, l'image «~tronquée~». Par exmple, si je dispose de l'image \texttt{losanges.eps} (image tournée de 90 degrès) : \noindent\includegraphics[angle = 90,bb=0 0 17 \linewidth,clip]{losanges} -cet exemple : +Cet exemple \begin{Code} @@ -539,8 +732,8 @@ cet exemple : \end{lstlisting} \end{Code} -donne : - +donne +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = imageClip,imageBarre = losanges]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -549,9 +742,36 @@ donne : encore et encore pour l'exemple\dots \end{bclogo} +\subsubsection{Pour les utilisateurs de mathdesign} + +Si on utilise une police \textit{mathdesign}, alors on a accès à une barre ondulée, faite avec un glyph répété verticalement, grâce à la commande \texttt{barre = wave}. Voici un exemple : + +\begin{Code} +\begin{lstlisting}[ breaklines=true,breakindent=30pt] +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = wave]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} +\end{lstlisting} +\end{Code} + +Ce qui donne : +\medskip +\begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, barre = wave]{Mon Titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui + se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete + encore et encore pour l'exemple\dots +\end{bclogo} + + \subsubsection{Couleur de la barre} -Pour les barres \texttt{line}, \texttt{zigzag}, \texttt{snake} et \texttt{motif} (pour motif, seulement si on utilise un motifs issue de \LaTeX{}, caractères, traits\dots), on peut changer la couleur. Pour ce faire, on utilise la commande \texttt{couleurBarre = <ma couleur>}. Par exemple : +Pour les barres \texttt{line}, \texttt{zigzag}, \texttt{snake}, \texttt{motif} et \texttt{wave} (pour motif, seulement si on utilise un motif provenant de \LaTeX{}, caractères, traits\dots), on peut changer la couleur. Pour ce faire, on utilise la commande \texttt{couleurBarre = <ma couleur>}. Par exemple : \begin{Code} \begin{lstlisting}[ breaklines=true,breakindent=30pt] \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, couleurBarre = green!80!blue!60]{Mon Titre} @@ -563,8 +783,8 @@ Pour les barres \texttt{line}, \texttt{zigzag}, \texttt{snake} et \texttt{motif} \end{bclogo} \end{lstlisting} \end{Code} -donne : - +donne +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion, couleurBarre = red!60!black!100]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -573,7 +793,8 @@ donne : encore et encore pour l'exemple\dots \end{bclogo} -avec \texttt{barre = snake} : +avec \texttt{barre = snake} +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion,barre = snake, couleurBarre = red!60!black!100]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -599,7 +820,7 @@ Si on ne veut pas de barre verticale sur le côté, il suffit d'utiliser la comm \end{Code} donne - +\medskip \begin{bclogo}[couleur = blue!30, arrondi = 0.1, logo = \bcquestion,barre = none]{Mon Titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete @@ -608,7 +829,35 @@ donne encore et encore pour l'exemple\dots \end{bclogo} -\subsection{Le bord} +\subsection{Le bord--Épaisseur} + +On peut (depuis la version 2.24) régler l'épaisseur du trait de bord grâce à la commande \texttt{epBord=<valeur>} (attention, ne pas mettre d'unité). Par exemple~: +\begin{Code} +\begin{lstlisting} +\begin{bclogo}[logo = \bccrayon, epBord=0.2]{Mon titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du + texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte + qui se r\'ep\`ete encore et encore pour l'exemple\dots Du texte + qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple\dots +\end{bclogo} +\end{lstlisting} +\end{Code} +Ce qui donne : +\medskip +\begin{bclogo}[logo = \bccrayon, epBord=0.2]{Mon titre} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du + texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte + qui se r\'ep\`ete encore et encore pour l'exemple\dots Du texte + qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple\dots +\end{bclogo} +\medskip +Par défaut, l'épaisseur est à 0.8pt. + +\subsubsection{Option \texttt{noborder}} Par défaut, il y a un trait pour délimiter le bord de la boîte, on peut cependant choisir de ne pas en mettre avec l'option \texttt{noborder = true} (par défaut elle est à \texttt{false}). @@ -625,8 +874,8 @@ Par exemple : \end{bclogo} \end{lstlisting} \end{Code} -donne : - +donne +\medskip \begin{bclogo}[logo = \bccrayon, noborder = true]{Mon titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte @@ -635,11 +884,11 @@ donne : r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple\dots \end{bclogo} - +\medskip \noindent Cela ne vous dit rien ? \noindent Voici un autre exemple, avec de la couleur\dots - +\medskip \begin{bclogo}[logo = \bcbook, noborder = true, couleur = red!30!blue!40]{Mon titre} Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte @@ -649,9 +898,41 @@ donne : r\'ep\`ete encore et encore pour l'exemple\dots \end{bclogo} +\subsection{Les marges} + +On peut aussi régler les marges entre l'intérieur de la boîte et le bord. ceci se fait par la commande \texttt{marge= <entier>}. Elle est définie en nombre de points, par défaut \texttt{marge = 3} (ne pas préciser l'unité). + +Cette nouvelle commande (due à Patrick \textsc{Fradin} sur une demande de Gaétan \textsc{Marris}) permet, entre autre, de prolonger le texte jusqu'à la marge de la page lorsque \texttt{noborder=true}. Par exemple, +\medskip +\begin{Code} +\begin{lstlisting} +\noindent\hrule +\begin{bclogo}[logo = \bccrayon, noborder = true,marge=0]{Mon titre} +\lipsum[2] +\end{bclogo} +\noindent\hrule +\begin{bclogo}[logo = \bccrayon, noborder = true,marge=8]{Mon titre} +\lipsum[2] +\end{bclogo} +\noindent\hrule +\end{lstlisting} +\end{Code} + +produit ceci. +\bigskip + +\noindent\hrule +\begin{bclogo}[logo = \bccrayon, noborder = true,marge=0]{Mon titre} +\lipsum[2] +\end{bclogo} +\noindent\hrule +\begin{bclogo}[logo = \bccrayon, noborder = true,marge=8]{Mon titre} +\lipsum[2] +\end{bclogo} +\noindent\hrule \section{Liste des boîtes} -On peut, comme avec table of contents, lister les boîtes utilisées dans le document et ce grâce à la commande : +On peut, comme avec \verb+\tableofcontents+, lister les boîtes utilisées dans le document et ce grâce à la commande : \begin{lstlisting} \listofbclogo @@ -669,303 +950,67 @@ Le titre de la liste peut alors être modifié par la commande : \renewcommand{\titrebclogo}{Liste des fiches} \end{lstlisting} -\section{Le code} +\section{Avec \texttt{framed.sty}} -\begin{lstlisting}[style=numbers, breaklines=true,breakindent=30pt] -NeedsTeXFormat{LaTeX2e} -\def\PackageName{bclogo} -\def\fileversion{v2.22} -\def\filedate{2009/15/01} -\ProvidesPackage{bclogo} - [\filedate\space\fileversion] -\RequirePackage{xkeyval,ifthen} - -%% Les options globales du package sont au nombre de 2: tikz ou pstricks - -\newif\iftikz% -\define@key{bclogo.sty}{tikz}[]{\tikztrue}% -\define@key{bclogo.sty}{pstricks}[]{\tikzfalse}% -\newlength{\logowidth}\setlength{\logowidth}{17pt}% -\ProcessOptionsX% - -\iftikz% -\RequirePackage{tikz}% -\usetikzlibrary{shadows}% pour l'ombre -\usetikzlibrary{decorations.pathmorphing} % pour la barre ondulee -\else% -\RequirePackage{graphicx}% -\RequirePackage{pstricks}% -\RequirePackage{pst-grad}% -\RequirePackage{pst-coil}% pour la barre ondulee -\fi% -% les symboles -% ============================================================================== - -% si l'option tikz est chargee -\iftikz% -% la fleur -\newcommand\bcfleur{\includegraphics[width=\logowidth]{bc-fleur}} -% une note (Thomas Labarussias) -\newcommand\bcnote{\includegraphics[width=\logowidth]{bc-note}} -% panneau chantier (Jean-Michel Sarlat) -\newcommand\bcpanchant{\includegraphics[width=\logowidth]{bc-aux-301}} -% ours -\newcommand\bcours{\includegraphics[width=\logowidth]{bc-ours}} -% etoile -\newcommand\bcetoile{\includegraphics[width=\logowidth]{bc-etoile}} -% attention -\newcommand\bcattention{\includegraphics[width=\logowidth]{bc-attention}} -% attention P.Fradin -\newcommand\bctakecare{\begingroup\input{bc-takecare.pgf}\endgroup} -% lampe P.Fradin -\newcommand\bclampe{\begingroup\input{bc-lampe.pgf}\endgroup} -% coeur -\newcommand\bccoeur{\includegraphics[width=\logowidth]{bc-coeur}} -% ornement (tire du site http://openclipart.org ) -\newcommand\bcorne{\includegraphics[width=\logowidth]{bc-orne}} -% danger (Francois) -\newcommand\bcdanger{\includegraphics[width=\logowidth]{bc-danger}} -% smiley bonne humeur (Francois) -\newcommand\bcsmbh{\includegraphics[width=\logowidth]{bc-smiley_bonnehumeur}} -% smiley bonne humeur (Francois) -\newcommand\bcsmmh{\includegraphics[width=\logowidth]{bc-smiley_mauvaisehumeur}} -% le trefle -\newcommand\bctrefle{\includegraphics[width=\logowidth]{bc-trefle}} -% le livre -\newcommand\bcbook{\begingroup\input{bc-book.pgf}\endgroup} -% point d'interrogation -\newcommand\bcquestion{\includegraphics[width=\logowidth]{bc-inter}} -% crayon anne-sophie philippe -\newcommand\bccrayon{\includegraphics[width=\logowidth]{bc-crayon}} -% le pic LaTeX -\newcommand\bcspadesuit{\centering \huge $\spadesuit$} - - -% si l'option pstricks (par defaut) -\else -% la fleur -\newcommand\bcfleur{\begingroup\input{bc-fleur.tex}\endgroup} -% une note (Thomas Labarussias) -\newcommand\bcnote{\begingroup\input{bc-note.tex}\endgroup} -% panneau chantier (Jean-Michel Sarlat) -\newcommand\bcpanchant{\includegraphics[width=\logowidth]{bc-aux-301.eps}} -% ours -\newcommand\bcours{\begingroup\input{bc-ours.tex}\endgroup} -% etoile -\newcommand\bcetoile{\begingroup\input{bc-etoile.tex}\endgroup} -% attention -\newcommand\bcattention{\begingroup\input{bc-attention.tex}\endgroup} -% attention P.Fradin -\newcommand\bctakecare{\begingroup\input{bc-takecare.pst}\endgroup} -% lampe P.Fradin -\newcommand\bclampe{\begingroup\input{bc-lampe.pst}\endgroup} -% coeur -\newcommand\bccoeur{\begingroup\input{bc-coeur.tex}\endgroup} -% ornement (tire du site http://openclipart.org ) -\newcommand\bcorne{\begingroup\input{bc-orne.tex}\endgroup} -% danger (Francois) -\newcommand\bcdanger{\begingroup\input{bc-danger.tex}\endgroup} -% smiley bonne humeur (Francois) -\newcommand\bcsmbh{\begingroup\input{bc-smiley_bonnehumeur.tex}\endgroup} -% smiley bonne humeur (Francois) -\newcommand\bcsmmh{\begingroup\input{bc-smiley_mauvaisehumeur.tex}\endgroup} -% le trefle -\newcommand\bctrefle{\begingroup\input{bc-trefle.tex}\endgroup} -% le livre -\newcommand\bcbook{\begingroup\input{bc-book.pst}\endgroup} -% point d'interrogation -\newcommand\bcquestion{\begingroup\input{bc-inter.tex}\endgroup} -% crayon anne-sophie philippe -\newcommand\bccrayon{\begingroup\input{bc-crayon.tex}\endgroup} -% le pic LaTeX -\newcommand\bcspadesuit{\centering \huge $\spadesuit$} - -\fi - - -% =========================== La fonction listable ============================= - -\newcommand{\titrebclogo}{Liste des \texttt{bclogo}} -\newcommand\bccaption[1]{\addcontentsline{bcl}{bclogo}{#1}} -\newcommand\listofbclogo{\section*{\titrebclogo}\@starttoc{bcl}} -\newcommand\l@bclogo[2]{\par\noindent #1,~\textit{page~#2}} -\newcounter{bclogocompteur} % idee de Francois Petiard - -% ======================================= les keys ============================= - -\newlength{\val@epBarre} % on definit une longueur : l'epaisseur de la barre -\newlength{\val@tailleOndu} % on definit une longueur : taille d'une ondulation -\define@key{bclogo}{logo}[\bcfleur]{\def\val@logo{#1}} -\define@key{bclogo}{couleur}[white]{\def\val@couleur{#1}} -\define@key{bclogo}{arrondi}[0]{\def\val@arrondi{#1}} -\define@key{bclogo}{epOmbre}[0.125]{\def\val@epOmbre{#1}} -\define@key{bclogo}{arrondi}[0]{\def\val@arrondi{#1}} -\define@key{bclogo}{couleurOmbre}[black]{\def\val@couleurOmbre{#1}} -\define@key{bclogo}{couleurBarre}[black]{\def\val@couleurBarre{#1}} -\define@key{bclogo}{imageBarre}[]{\def\val@imageBarre{#1}} -\define@key{bclogo}{motifBarre}[*]{\def\val@motifBarre{#1}} -\define@key{bclogo}{epBarre}[1.5]{\setlength{\val@epBarre}{#1 pt}} -\define@key{bclogo}{tailleOndu}[2.5]{\setlength{\val@tailleOndu}{#1 pt}} -\define@boolkey{bclogo}{cadreTitre}[true]{} -\define@boolkey{bclogo}{noborder}[true]{} -\define@boolkey{bclogo}{ombre}[true]{} -\define@boolkey{bclogo}{avecBarre}[true]{} -\define@choicekey{bclogo}{barre}{none,line,snake,motif,zigzag,imageExt,imageClip}[line]{% -\ifthenelse{\equal{#1}{none}}{\KV@bclogo@avecBarrefalse}% -{\def\bc@barre{\@nameuse{bc@barre#1}}}% -}% - - - -% selection par defaut -\presetkeys{bclogo}{logo,barre,couleur,arrondi,couleurOmbre,couleurBarre,epOmbre,epBarre,tailleOndu,ombre=false,cadreTitre=false, avecBarre = true,noborder=false}{}% - -% les differente commande de barre vertical a gauche - -\newcommand{\bc@barreline}{\color{\val@couleurBarre}\vrule width \val@epBarre}% - -\newcommand{\bc@barremotif}{% -\begin{minipage}{\logowidth}\color{\val@couleurBarre}\centering% -\vbox to \invboxh{\cleaders\vbox{\vss \val@motifBarre \vss}\vfill}% -\end{minipage}} - - -\newcommand{\bc@barresnake}{% -\begin{minipage}{\logowidth}\centering -\iftikz -\begin{tikzpicture}[decoration={snake,segment length=2.66\val@tailleOndu, amplitude=\val@tailleOndu}] -\draw[decorate,line width=1pt, color=\val@couleurBarre](0,\invboxh)--(0,0);\end{tikzpicture}% -\else -\psset{unit=1pt} -\begin{pspicture}(0,0)(0,\invboxh) -\pszigzag[coilarm=0pt,coilwidth=2\val@tailleOndu,linewidth=1pt, linearc=1pt,coilheight=1.33,linecolor=\val@couleurBarre](0,\invboxh)(0,0) -\end{pspicture}% -\fi -\end{minipage}}% - -\newcommand{\bc@barrezigzag}{% -\begin{minipage}{\logowidth}\centering -\iftikz -\begin{tikzpicture}[decoration={zigzag,segment length=2.66\val@tailleOndu, amplitude=\val@tailleOndu}] -\draw[decorate,line width=1pt,color=\val@couleurBarre](0,\invboxh)--(0,0);\end{tikzpicture}% -\else -\psset{unit=1pt} -\begin{pspicture}(0,0)(0,\invboxh) -\pszigzag[coilarm=0pt,coilwidth=2\val@tailleOndu,linewidth=1pt,coilheight=1.33,linecolor=\val@couleurBarre](0,\invboxh)(0,0) -\end{pspicture}% -\fi -\end{minipage}}% - -\newcommand{\bc@barreimageExt}{% l'image est deformee -\begin{minipage}{\logowidth}\centering -\includegraphics[width=\logowidth,height=\invboxh]{\val@imageBarre} -\end{minipage} -}% - -\newcommand{\bc@barreimageClip}{% -\begin{minipage}{\logowidth}\centering -\includegraphics[viewport=0 0 \logowidth~ \invboxh,% -clip=true]{\val@imageBarre}% -\end{minipage} -}% - - -%======================= Quelques definitions=================================== -% boite globale -\newsavebox{\envbox} -% boite interieure la ligne 2 du tableau barre + texte -\newsavebox{\invbox} -% pour la hauteur de la boite -\newlength{\invboxh}\newlength{\invboxd} -%%% precaution JCC -\newcommand*\bclogotitre{} -\newlength{\pgfframesep} -\setlength{\pgfframesep}{\iftikz3pt\else\psframesep\fi} - -%======================= L'environnement ======================================= - -\newenvironment*{bclogo}[2][]{% - \setkeys{bclogo}{#1}%on recupere les options - \par\noindent% attention au retrait d'alinea - % on definit les commandes qui seront utilisees dans la seconde - % parti de l'environnement - % la commande pour le titre - \renewcommand*\bclogotitre{#2} - % La commande pour les coins arrondis - \newcommand{\arr}{\val@arrondi} - % deux types de titres - \ifKV@bclogo@cadreTitre% si cadreTitre = true - \newcommand{\structitre}{% - \iftikz% cadreTitre tizk - \hfil - \begin{tikzpicture}\node[rectangle, thick, top color=red!60!green!40, bottom color=white,draw]{\large #2}; - \end{tikzpicture}% - \hfil% - \else% cadreTitre pstricks - \hfil - \psframebox[fillstyle=gradient,gradmidpoint=0.2, gradangle=0,gradbegin=red!60!green!40, gradend=white]{\large #2}% - \hfil% - \fi% - } - \else %sinon cadreTitre = false - \newcommand{\structitre}{\large \textbf{#2}}% - \fi% - \begin{lrbox}{\invbox}% -\begin{minipage}{\dimexpr\linewidth-2\pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt\fi\relax}% -}% -{% -\end{minipage}% -\end{lrbox}% - -% calcul de la hauteur totale de la boite intereure -\settoheight{\invboxh}{\usebox{\invbox}}% -\settodepth{\invboxd}{\usebox{\invbox}}% -\addtolength{\invboxh}{\invboxd}% - - % on commence la boite interieur ou est le texte et la barre vertical - \begin{lrbox}{\envbox}% - \begin{tabular}{@{}c@{}p{\dimexpr\linewidth-2 -\pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt -\fi}@{}} - \begin{minipage}{\logowidth}{\refstepcounter{bclogocompteur}\bccaption{\bclogotitre}\val@logo}\end{minipage}&% - \ifKV@bclogo@cadreTitre% - \begin{minipage}{\dimexpr\linewidth-2 - \pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt - \fi}{\structitre}\end{minipage}% - \else\structitre\fi\\% - \ifKV@bclogo@avecBarre% si il y a une barre verticale - \bc@barre&\usebox{\invbox}% - \else% sinon - \multicolumn{2}{c}{\usebox{\invbox}}% - \fi% - \end{tabular}% - \end{lrbox}% - -% Affiche l'ensemble dans un cadre en couleur. - \iftikz% tikz - \par\noindent - \begin{tikzpicture}% - \ifKV@bclogo@ombre%cadre ombre - \node[fill=\val@couleur,thick, shape=rectangle, inner sep=\pgfframesep, rounded corners=\arr cm,% - general shadow={fill=\val@couleurOmbre},shadow xshift=\val@epOmbre cm, shadow yshift=-\val@epOmbre cm, draw=\ifKV@bclogo@noborder none\else black\fi]{\usebox{\envbox}}; - \else%cadre sans ombre - \node[fill=\val@couleur,thick, shape=rectangle, inner sep=\pgfframesep,rounded corners=\arr cm, draw=\ifKV@bclogo@noborder none\else black\fi]{\usebox{\envbox}}; - \fi - \end{tikzpicture} - \par% - \else% pstricks - \noindent - \ifKV@bclogo@ombre%cadre ombre - \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2,fillstyle=solid, shadow=true, shadowsize=\val@epOmbre cm,% - shadowcolor=\val@couleurOmbre, fillcolor=\val@couleur,linestyle=\ifKV@bclogo@noborder none\else solid\fi]{\usebox{\envbox}} - \else%cadre sans ombre - \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2 ,fillstyle=solid, fillcolor=\val@couleur,linestyle=\ifKV@bclogo@noborder none\else solid\fi]{\usebox{\envbox}} - \fi% - \par\vspace*{0.2cm} - \fi%fin - \ifKV@bclogo@ombre\vspace*{\val@epOmbre cm}\fi -}% +Je présente ici une utilisation de \texttt{bclogo} \emph{couplée} avec un environnement écrit par Jean-Michel \textsc{Sarlat} utilisant \texttt{framed.sty}. Voici cet environnement : + +\begin{Code} +\begin{lstlisting} +\newenvironment{gbar}[1]{% + \def\FrameCommand{{\color{#1}\vrule width 3pt}\colorbox{fbase}}% + \MakeFramed {\advance\hsize-\width \FrameRestore}}% +{\endMakeFramed} +\end{lstlisting} +\end{Code} + +En disposant cet environnement, on s'amuser à mélanger les deux : +\begin{Code} +\begin{lstlisting} +\begin{bclogo}[logo=\bcinfo,barre = none,noborder=true]{Test avec + \texttt{framed.sty}}% +\begin{gbar}{yellow} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du + texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte + qui se r\'ep\`ete encore et encore pour l'exemple\dots Du texte + qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple\dots +\end{gbar} +\end{bclogo} \end{lstlisting} +\end{Code} + +Ce qui donne +\medskip + +\begin{bclogo}[logo=\bcinfo,barre = none,noborder=true]{Test avec \texttt{framed.sty}}% +\begin{gbar}{yellow} + Du texte qui se r\'ep\`ete encore et encore pour l'exemple, du + texte qui se r\'ep\`ete encore et encore pour l'exemple, du texte + qui se r\'ep\`ete encore et encore pour l'exemple\dots Du texte + qui se r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple, du texte qui se + r\'ep\`ete encore et encore pour l'exemple\dots +\end{gbar} +\end{bclogo} + +\subsection{Réglage global des paramètres} + +On peut régler les paramètres pour toutes les boîtes \texttt{bclogo}. Pour cela on utilise la commande +\begin{lstlisting} +\presetkeys{bclogo}{<liste des parametres>}{} +\end{lstlisting} +Par exemple~: +\begin{lstlisting} +\presetkeys{bclogo}{ombre=true, epBord=1pt}{} +\end{lstlisting} + +\section{Le code} + +%\begin{lstlisting}[style=numbers, breaklines=true,breakindent=30pt] +\lstset{style=numbers, breaklines=true,breakindent=30pt} +\lstinputlisting{../bclogo.sty} +%\end{lstlisting} diff --git a/Master/texmf-dist/doc/latex/bclogo/bcneige.eps b/Master/texmf-dist/doc/latex/bclogo/bcneige.eps new file mode 100644 index 00000000000..20864335a71 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcneige.eps @@ -0,0 +1,182 @@ +%!PS-Adobe-3.0 EPSF-3.0
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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 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/Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.70709 0.0 5.43198 +5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.70709 0.0 -5.43198 +5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 1.70709 -5.43198 +5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 -1.70709 -5.43198 +-5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.70709 0.0 -5.43198 +-5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.70709 0.0 5.43198 +-5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 0.0 -1.70709 5.43198 +-5.43198 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin 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 /xx1 +x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div +def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 1 gt { /Alpha +y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length x12 x11 +sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos ArrowPos +dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha cos ArrowPos +mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside known +{ ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos 1. + 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 1.20709 +8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 -1.20709 +8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 1.20709 +0.0 8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 1.20709 +0.0 8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 -1.20709 +-8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial +@beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 1.20709 +-8.53546 0.0 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial +@setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ 1.20709 -1.20709 +0.0 -8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 0 0 0 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 SLW 0 0 0 setrgbcolor 1. .setopacityalpha 0 setlinecap +stroke grestore end + +@endspecial @beginspecial @setspecial + tx@Dict begin STP newpath /ArrowA { moveto } def /ArrowB { } def +/ArrowInside { } def 0.1 SLW 0 0 0 setrgbcolor [ -1.20709 -1.20709 +0.0 -8.53546 0.0 0.0 /Lineto /lineto load def false 1 setlinejoin +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 /xx1 x1 def /yy1 y1 def x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 +add 2 div def x1 y1 moveto /n n 2 sub def /drawArrows { x11 y11 0.5 + 1 gt { /Alpha y12 y11 sub x12 x11 sub atan def /ArrowPos 0. def /Length +x12 x11 sub y12 y11 sub Pyth def /dArrowPos 0.5 abs def { /ArrowPos +ArrowPos dArrowPos add def ArrowPos Length gt { exit } if x11 Alpha +cos ArrowPos mul add y11 Alpha sin ArrowPos mul add currentdict /ArrowInside +known { ArrowInside } if pop pop } loop }{ /ArrowPos 0. def /dArrowPos +1. 1 gt {1.0 1. 1.0 add div }{ 0.5 } ifelse def 1. cvi { /ArrowPos +ArrowPos dArrowPos add def x12 x11 sub ArrowPos mul x11 add y12 y11 +sub ArrowPos mul y11 add currentdict /ArrowInside known { ArrowInside +} if pop pop } repeat } ifelse pop pop Lineto } def n { 4 copy /y11 +ED /x11 ED /y12 ED /x12 ED drawArrows } repeat x1 y1 x0 y0 6 4 roll +2 copy /y11 ED /x11 ED /y12 y0 def /x12 x0 def drawArrows /y11 y0 def +/x11 x0 def /y12 yy1 def /x12 xx1 def drawArrows pop pop closepath +} ifelse gsave 1 1 1 setrgbcolor 1. .setopacityalpha fill grestore +gsave 0.1 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/doc/latex/bclogo/bcrosevents.pdf b/Master/texmf-dist/doc/latex/bclogo/bcrosevents.pdf Binary files differnew file mode 100644 index 00000000000..6caa0169851 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcrosevents.pdf diff --git a/Master/texmf-dist/doc/latex/bclogo/bcsoleil.eps b/Master/texmf-dist/doc/latex/bclogo/bcsoleil.eps new file mode 100644 index 00000000000..a4eaaa6809d --- /dev/null +++ b/Master/texmf-dist/doc/latex/bclogo/bcsoleil.eps @@ -0,0 +1,2542 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Creator: dvips(k) 5.96dev Copyright 2007 Radical Eye Software +%%Title: CompileEps.dvi +%%CreationDate: Sat Sep 19 14:18:02 2009 +%%BoundingBox: 71 701 90 721 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -E -o +%+ C:\Users\Alain_2\Documents\LaTeX\Logos\bcsoleil.eps CompileEps.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2009.09.19:1418 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S +N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 +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{ +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 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b/Master/texmf-dist/tex/latex/bclogo/bclogo.sty index 174e321333b..b729209980a 100644 --- a/Master/texmf-dist/tex/latex/bclogo/bclogo.sty +++ b/Master/texmf-dist/tex/latex/bclogo/bclogo.sty @@ -1,7 +1,7 @@ \NeedsTeXFormat{LaTeX2e} \def\PackageName{bclogo} -\def\fileversion{v2.22} -\def\filedate{2009/15/01} +\def\fileversion{v2.24} +\def\filedate{2009/09/09} \ProvidesPackage{bclogo} [\filedate\space\fileversion] \RequirePackage{xkeyval,ifthen} @@ -9,26 +9,29 @@ %% Les options globales du package sont au nombre de 2: tikz ou pstricks \newif\iftikz% +\newif\ifblur \define@key{bclogo.sty}{tikz}[]{\tikztrue}% \define@key{bclogo.sty}{pstricks}[]{\tikzfalse}% +\define@key{bclogo.sty}{blur}[]{\blurtrue}% \newlength{\logowidth}\setlength{\logowidth}{17pt}% \ProcessOptionsX% + \iftikz% \RequirePackage{tikz}% \usetikzlibrary{shadows}% pour l'ombre \usetikzlibrary{decorations.pathmorphing} % pour la barre ondulee \else% +\ifblur\RequirePackage{pst-blur}\fi% \RequirePackage{graphicx}% \RequirePackage{pstricks}% \RequirePackage{pst-grad}% \RequirePackage{pst-coil}% pour la barre ondulee \fi% + % les symboles % ============================================================================== -% si l'option tikz est chargee -\iftikz% % la fleur \newcommand\bcfleur{\includegraphics[width=\logowidth]{bc-fleur}} % une note (Thomas Labarussias) @@ -36,15 +39,18 @@ % panneau chantier (Jean-Michel Sarlat) \newcommand\bcpanchant{\includegraphics[width=\logowidth]{bc-aux-301}} % ours +%\newcommand\bcours{\begingroup\input{bc-ours.tex}\endgroup} \newcommand\bcours{\includegraphics[width=\logowidth]{bc-ours}} % etoile +%\newcommand\bcetoile{\begingroup\input{bc-etoile.tex}\endgroup} \newcommand\bcetoile{\includegraphics[width=\logowidth]{bc-etoile}} % attention +%\newcommand\bcattention{\begingroup\input{bc-attention.tex}\endgroup} \newcommand\bcattention{\includegraphics[width=\logowidth]{bc-attention}} % attention P.Fradin -\newcommand\bctakecare{\begingroup\input{bc-takecare.pgf}\endgroup} +\newcommand\bctakecare{\includegraphics[width=\logowidth]{bc-takecare}} % lampe P.Fradin -\newcommand\bclampe{\begingroup\input{bc-lampe.pgf}\endgroup} +\newcommand\bclampe{\includegraphics[width=\logowidth]{bc-lampe}} % coeur \newcommand\bccoeur{\includegraphics[width=\logowidth]{bc-coeur}} % ornement (tire du site http://openclipart.org ) @@ -52,63 +58,49 @@ % danger (Francois) \newcommand\bcdanger{\includegraphics[width=\logowidth]{bc-danger}} % smiley bonne humeur (Francois) -\newcommand\bcsmbh{\includegraphics[width=\logowidth]{bc-smiley_bonnehumeur}} +\newcommand\bcsmbh{\includegraphics[width=\logowidth]{bc-smiley-bonnehumeur}} % smiley bonne humeur (Francois) -\newcommand\bcsmmh{\includegraphics[width=\logowidth]{bc-smiley_mauvaisehumeur}} +\newcommand\bcsmmh{\includegraphics[width=\logowidth]{bc-smiley-mauvaisehumeur}} % le trefle \newcommand\bctrefle{\includegraphics[width=\logowidth]{bc-trefle}} % le livre -\newcommand\bcbook{\begingroup\input{bc-book.pgf}\endgroup} +\newcommand\bcbook{\includegraphics[width=\logowidth]{bc-book}} % point d'interrogation \newcommand\bcquestion{\includegraphics[width=\logowidth]{bc-inter}} % crayon anne-sophie philippe \newcommand\bccrayon{\includegraphics[width=\logowidth]{bc-crayon}} +% info (thomas labarrussias) +\newcommand\bcinfo{\includegraphics[width=\logowidth]{bc-info}} +% plume +\newcommand\bcplume{\includegraphics[width=\logowidth]{bc-plume}} % le pic LaTeX -\newcommand\bcspadesuit{\centering \huge $\spadesuit$} - - -% si l'option pstricks (par defaut) -\else -% la fleur -\newcommand\bcfleur{\begingroup\input{bc-fleur.tex}\endgroup} -% une note (Thomas Labarussias) -\newcommand\bcnote{\begingroup\input{bc-note.tex}\endgroup} -% panneau chantier (Jean-Michel Sarlat) -\newcommand\bcpanchant{\includegraphics[width=\logowidth]{bc-aux-301.eps}} -% ours -\newcommand\bcours{\begingroup\input{bc-ours.tex}\endgroup} -% etoile -\newcommand\bcetoile{\begingroup\input{bc-etoile.tex}\endgroup} -% attention -\newcommand\bcattention{\begingroup\input{bc-attention.tex}\endgroup} -% attention P.Fradin -\newcommand\bctakecare{\begingroup\input{bc-takecare.pst}\endgroup} -% lampe P.Fradin -\newcommand\bclampe{\begingroup\input{bc-lampe.pst}\endgroup} -% coeur -\newcommand\bccoeur{\begingroup\input{bc-coeur.tex}\endgroup} -% ornement (tire du site http://openclipart.org ) -\newcommand\bcorne{\begingroup\input{bc-orne.tex}\endgroup} -% danger (Francois) -\newcommand\bcdanger{\begingroup\input{bc-danger.tex}\endgroup} -% smiley bonne humeur (Francois) -\newcommand\bcsmbh{\begingroup\input{bc-smiley_bonnehumeur.tex}\endgroup} -% smiley bonne humeur (Francois) -\newcommand\bcsmmh{\begingroup\input{bc-smiley_mauvaisehumeur.tex}\endgroup} -% le trefle -\newcommand\bctrefle{\begingroup\input{bc-trefle.tex}\endgroup} -% le livre -\newcommand\bcbook{\begingroup\input{bc-book.pst}\endgroup} -% point d'interrogation -\newcommand\bcquestion{\begingroup\input{bc-inter.tex}\endgroup} -% crayon anne-sophie philippe -\newcommand\bccrayon{\begingroup\input{bc-crayon.tex}\endgroup} -% le pic LaTeX -\newcommand\bcspadesuit{\centering \huge $\spadesuit$} - -\fi - - +\newcommand\bcspadesuit{{\centering \huge $\spadesuit$}} +% logos Alphonse Capriani +\newcommand\bcbombe{\includegraphics[width=\logowidth]{bcbombe}} +\newcommand\bccube{\includegraphics[width=\logowidth]{bccube}} +\newcommand\bcdallemagne{\includegraphics[width=\logowidth]{bcdallemagne}} +\newcommand\bcdbelgique{\includegraphics[width=\logowidth]{bcdbelgique}} +\newcommand\bcdfrance{\includegraphics[width=\logowidth]{bcdfrance}} +\newcommand\bcditalie{\includegraphics[width=\logowidth]{bcditalie}} +\newcommand\bcdodecaedre{\includegraphics[width=\logowidth]{bcdodecaedre}} +\newcommand\bcdpaysbas{\includegraphics[width=\logowidth]{bcdpaysbas}} +\newcommand\bceclaircie{\includegraphics[width=\logowidth]{bceclaircie}} +\newcommand\bcicosaedre{\includegraphics[width=\logowidth]{bcicosaedre}} +\newcommand\bcinterdit{\includegraphics[width=\logowidth]{bcinterdit}} +\newcommand\bcneige{\includegraphics[width=\logowidth]{bcneige}} +\newcommand\bcoctaedre{\includegraphics[width=\logowidth]{bcoctaedre}} +\newcommand\bcpluie{\includegraphics[width=\logowidth]{bcpluie}} +\newcommand\bcpoisson{\includegraphics[width=\logowidth]{bcpoisson}} +\newcommand\bcsoleil{\includegraphics[width=\logowidth]{bcsoleil}} +\newcommand\bcstop{\includegraphics[width=\logowidth]{bcstop}} +\newcommand\bctetraedre{\includegraphics[width=\logowidth]{bctetraedre}} +\newcommand\bccalendrier{\includegraphics[width=\logowidth]{bccalendrier}} +\newcommand\bchorloge{\includegraphics[width=\logowidth]{bchorloge}} +\newcommand\bcying{\includegraphics[width=\logowidth]{bcying}} +\newcommand\bcrosevents{\includegraphics[width=\logowidth]{bcrosevents}} +% fin alphonse +% Vincent Pantaloni route glissante +\newcommand\bcdz{\includegraphics[width=\logowidth]{bc-dz}} % =========================== La fonction listable ============================= \newcommand{\titrebclogo}{Liste des \texttt{bclogo}} @@ -119,8 +111,10 @@ % ======================================= les keys ============================= -\newlength{\val@epBarre} % on definit une longueur : l'epaisseur de la barre +\newlength{\val@epBarre} % on definit une longueur : l'epaisseur de la barre en point +\newlength{\val@framesep} % on definit une longueur : l'epaisseur de la marge en point \newlength{\val@tailleOndu} % on definit une longueur : taille d'une ondulation +\newlength{\val@borderWidth} % on definit une longueur : epaisseur du bord \define@key{bclogo}{logo}[\bcfleur]{\def\val@logo{#1}} \define@key{bclogo}{couleur}[white]{\def\val@couleur{#1}} \define@key{bclogo}{arrondi}[0]{\def\val@arrondi{#1}} @@ -128,23 +122,26 @@ \define@key{bclogo}{arrondi}[0]{\def\val@arrondi{#1}} \define@key{bclogo}{couleurOmbre}[black]{\def\val@couleurOmbre{#1}} \define@key{bclogo}{couleurBarre}[black]{\def\val@couleurBarre{#1}} +\define@key{bclogo}{couleurBord}[black]{\def\val@couleurBord{#1}} % modification Philippe Fortemps \define@key{bclogo}{imageBarre}[]{\def\val@imageBarre{#1}} \define@key{bclogo}{motifBarre}[*]{\def\val@motifBarre{#1}} +\define@key{bclogo}{marge}[4]{\setlength{\val@framesep}{#1 pt}\iftikz\else\setlength{\psframesep}{#1 pt}\fi} +\define@key{bclogo}{sousTitre}[]{\def\val@sousTitre{#1}} \define@key{bclogo}{epBarre}[1.5]{\setlength{\val@epBarre}{#1 pt}} +\define@key{bclogo}{epBord}[0.8]{\setlength{\val@borderWidth}{#1 pt}}% \define@key{bclogo}{tailleOndu}[2.5]{\setlength{\val@tailleOndu}{#1 pt}} \define@boolkey{bclogo}{cadreTitre}[true]{} \define@boolkey{bclogo}{noborder}[true]{} \define@boolkey{bclogo}{ombre}[true]{} \define@boolkey{bclogo}{avecBarre}[true]{} -\define@choicekey{bclogo}{barre}{none,line,snake,motif,zigzag,imageExt,imageClip}[line]{% +\define@boolkey{bclogo}{blur}[true]{} +\define@choicekey{bclogo}{barre}{none,line,snake,motif,zigzag,imageExt,imageClip, wave}[line]{% \ifthenelse{\equal{#1}{none}}{\KV@bclogo@avecBarrefalse}% {\def\bc@barre{\@nameuse{bc@barre#1}}}% }% - - % selection par defaut -\presetkeys{bclogo}{logo,barre,couleur,arrondi,couleurOmbre,couleurBarre,epOmbre,epBarre,tailleOndu,ombre=false,cadreTitre=false, avecBarre = true,noborder=false}{}% +\presetkeys{bclogo}{logo,barre,couleur,arrondi,couleurOmbre,couleurBarre,epOmbre,epBarre,epBord,tailleOndu,ombre=false,cadreTitre=false, avecBarre=true,noborder=false,marge,sousTitre, couleurBord,blur=false}{}% % les differente commande de barre vertical a gauche @@ -155,6 +152,10 @@ \vbox to \invboxh{\cleaders\vbox{\vss \val@motifBarre \vss}\vfill}% \end{minipage}} +\newcommand{\bc@barrewave}{% +\begin{minipage}{\logowidth}\color{\val@couleurBarre}\centering% +\vbox to \invboxh{\cleaders\vbox{\vss $\leftwave\right.$ \vss}\vfill}% +\end{minipage}} \newcommand{\bc@barresnake}{% \begin{minipage}{\logowidth}\centering @@ -205,14 +206,11 @@ clip=true]{\val@imageBarre}% \newlength{\invboxh}\newlength{\invboxd} %%% precaution JCC \newcommand*\bclogotitre{} -\newlength{\pgfframesep} -\setlength{\pgfframesep}{\iftikz3pt\else\psframesep\fi} - +\newcommand\styleSousTitre[1]{\normalsize \textit{#1}} %======================= L'environnement ======================================= \newenvironment*{bclogo}[2][]{% \setkeys{bclogo}{#1}%on recupere les options - \par\noindent% attention au retrait d'alinea % on definit les commandes qui seront utilisees dans la seconde % parti de l'environnement % la commande pour le titre @@ -234,36 +232,30 @@ clip=true]{\val@imageBarre}% \fi% } \else %sinon cadreTitre = false - \newcommand{\structitre}{\large \textbf{#2}}% + \newcommand{\structitre}{\large\textbf{#2} \styleSousTitre{\val@sousTitre}}% \fi% \begin{lrbox}{\invbox}% -\begin{minipage}{\dimexpr\linewidth-2\pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt\fi\relax}% +\begin{minipage}{\dimexpr\linewidth-2\val@framesep-\ifKV@bclogo@noborder 0pt\else2\val@borderWidth\fi-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt\fi\relax}% }% {% \end{minipage}% \end{lrbox}% -% calcul de la hauteur totale de la boite intéreure +% calcul de la hauteur totale de la boite interieure \settoheight{\invboxh}{\usebox{\invbox}}% \settodepth{\invboxd}{\usebox{\invbox}}% \addtolength{\invboxh}{\invboxd}% % on commence la boite interieur ou est le texte et la barre vertical \begin{lrbox}{\envbox}% - \begin{tabular}{@{}c@{}p{\dimexpr\linewidth-2 -\pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt -\fi}@{}} + \begin{tabular}{@{}c@{}p{\dimexpr\linewidth-2\val@framesep-\ifKV@bclogo@noborder 0pt\else2\val@borderWidth\fi-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt\fi}@{}}% \begin{minipage}{\logowidth}{\refstepcounter{bclogocompteur}\bccaption{\bclogotitre}\val@logo}\end{minipage}&% \ifKV@bclogo@cadreTitre% - \begin{minipage}{\dimexpr\linewidth-2 - \pgfframesep-4pt-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt - \fi}{\structitre}\end{minipage}% - \else\structitre\fi\\% + \begin{minipage}{\dimexpr\linewidth-2\val@framesep-\logowidth-\ifKV@bclogo@ombre\val@epOmbre cm\else0pt\fi}{\structitre}\end{minipage}% + \else\structitre\fi\tabularnewline% \ifKV@bclogo@avecBarre% si il y a une barre verticale \bc@barre&\usebox{\invbox}% - \else% sinon - \multicolumn{2}{c}{\usebox{\invbox}}% - \fi% + \else\multicolumn{2}{c}{\usebox{\invbox}}\fi% \end{tabular}% \end{lrbox}% @@ -272,22 +264,39 @@ clip=true]{\val@imageBarre}% \par\noindent \begin{tikzpicture}% \ifKV@bclogo@ombre%cadre ombre - \node[fill=\val@couleur,thick, shape=rectangle, inner sep=\pgfframesep, rounded corners=\arr cm,% - general shadow={fill=\val@couleurOmbre},shadow xshift=\val@epOmbre cm, shadow yshift=-\val@epOmbre cm, draw=\ifKV@bclogo@noborder none\else black\fi]{\usebox{\envbox}}; + \ifKV@bclogo@blur%blur + \node[% +preaction={line width=6,line join=round,opacity=0.1,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +preaction={line width=5,line join=round,opacity=0.15,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +preaction={line width=4,line join=round,opacity=0.2,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +preaction={line width=3,line join=round,opacity=0.3,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +preaction={line width=2,line join=round,opacity=0.4,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +preaction={line width=1,line join=round,opacity=0.5,draw=\val@couleurOmbre,transform canvas={xshift=\val@epOmbre cm, yshift=-\val@epOmbre cm}},% +general shadow={fill=\val@couleurOmbre,opacity=1,shadow xshift=\val@epOmbre cm, shadow yshift=-\val@epOmbre cm},% +fill=\val@couleur,shape=rectangle,line width=\val@borderWidth, inner sep=\val@framesep, rounded corners=\arr cm,% +draw=\ifKV@bclogo@noborder none\else \val@couleurBord\fi]{\usebox{\envbox}}; + \else %ombre sans blur + \node[fill=\val@couleur,shape=rectangle,line width=\val@borderWidth, inner sep=\val@framesep, rounded corners=\arr cm,% + general shadow={fill=\val@couleurOmbre, shadow xshift=\val@epOmbre cm, shadow yshift=-\val@epOmbre cm}, draw=\ifKV@bclogo@noborder none\else \val@couleurBord\fi]{\usebox{\envbox}}; + \fi% fin ifblur \else%cadre sans ombre - \node[fill=\val@couleur,thick, shape=rectangle, inner sep=\pgfframesep,rounded corners=\arr cm, draw=\ifKV@bclogo@noborder none\else black\fi]{\usebox{\envbox}}; + \node[fill=\val@couleur,thick, shape=rectangle,line width=\val@borderWidth, inner sep=\val@framesep,rounded corners=\arr cm, draw=\ifKV@bclogo@noborder none\else \val@couleurBord\fi]{\usebox{\envbox}}; \fi - \end{tikzpicture} - \par% + \end{tikzpicture}% + %\par% \else% pstricks \noindent \ifKV@bclogo@ombre%cadre ombre - \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2,fillstyle=solid, shadow=true, shadowsize=\val@epOmbre cm,% - shadowcolor=\val@couleurOmbre, fillcolor=\val@couleur,linestyle=\ifKV@bclogo@noborder none\else solid\fi]{\usebox{\envbox}} + \ifKV@bclogo@blur%blur + \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2,fillstyle=solid, shadow=true, blur=true, shadowsize=\val@epOmbre cm,% + shadowcolor=\val@couleurOmbre, fillcolor=\val@couleur,linewidth=\val@borderWidth, linestyle=\ifKV@bclogo@noborder none\else solid\fi,linecolor=\val@couleurBord]{\usebox{\envbox}} + \else + \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2,fillstyle=solid, shadow=true, shadowsize=\val@epOmbre cm,% + shadowcolor=\val@couleurOmbre, fillcolor=\val@couleur,linewidth=\val@borderWidth,linestyle=\ifKV@bclogo@noborder none\else solid\fi,linecolor=\val@couleurBord]{\usebox{\envbox}} + \fi \else%cadre sans ombre - \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2 ,fillstyle=solid, fillcolor=\val@couleur,linestyle=\ifKV@bclogo@noborder none\else solid\fi]{\usebox{\envbox}} + \psframebox[cornersize=absolute,linearc=\dimexpr\arr cm * 2 ,fillstyle=solid, fillcolor=\val@couleur,linewidth=\val@borderWidth, linestyle=\ifKV@bclogo@noborder none\else solid\fi,linecolor=\val@couleurBord]{\usebox{\envbox}} \fi% - \par\vspace*{0.2cm} \fi%fin \ifKV@bclogo@ombre\vspace*{\val@epOmbre cm}\fi }% |