diff options
Diffstat (limited to 'Master/texmf-dist')
20 files changed, 8 insertions, 34866 deletions
diff --git a/Master/texmf-dist/doc/latex/skak/ChangeLog.md b/Master/texmf-dist/doc/latex/skak/ChangeLog.md index 8f04fc5456d..6fd6326d641 100644 --- a/Master/texmf-dist/doc/latex/skak/ChangeLog.md +++ b/Master/texmf-dist/doc/latex/skak/ChangeLog.md @@ -1,3 +1,10 @@ +Version 1.5.3 +------------- + +* cosmetic fixes: + - rename makefile to Makefile. + - updated version numbers correctly. + Version 1.5.2 ------------- diff --git a/Master/texmf-dist/doc/latex/skak/README.md b/Master/texmf-dist/doc/latex/skak/README index 88398e19a1f..88398e19a1f 100644 --- a/Master/texmf-dist/doc/latex/skak/README.md +++ b/Master/texmf-dist/doc/latex/skak/README diff --git a/Master/texmf-dist/doc/latex/skak/informator.pdf b/Master/texmf-dist/doc/latex/skak/informator.pdf Binary files differnew file mode 100644 index 00000000000..730accef7de --- /dev/null +++ b/Master/texmf-dist/doc/latex/skak/informator.pdf diff --git a/Master/texmf-dist/doc/latex/skak/informator.ps b/Master/texmf-dist/doc/latex/skak/informator.ps deleted file mode 100644 index cf693fb86db..00000000000 --- a/Master/texmf-dist/doc/latex/skak/informator.ps +++ /dev/null @@ -1,5639 +0,0 @@ -%!PS-Adobe-2.0 -%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software -%%Title: informator.dvi -%%CreationDate: Thu Jul 18 23:26:38 2013 -%%Pages: 1 -%%PageOrder: Ascend -%%BoundingBox: 0 0 596 842 -%%DocumentFonts: CMR17 CMTT12 CMR12 CMR10 CMSY10 CMSSBX10 -%%+ SkakNew-Figurine CMSS10 -%%DocumentPaperSizes: a4 -%%EndComments -%DVIPSWebPage: (www.radicaleye.com) -%DVIPSCommandLine: dvips -o informator.ps informator.dvi -%DVIPSParameters: dpi=600 -%DVIPSSource: TeX output 2013.07.18:2326 -%%BeginProcSet: tex.pro 0 0 -%! -/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S -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 -/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 -def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 -rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 -N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop -false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A -length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} -forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ -BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat -{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch -round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 -rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B -/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} -B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p --3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ -0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end - -%%EndProcSet -%%BeginProcSet: pstricks.pro 0 0 -% $Id: pstricks.pro 647 2012-02-12 15:03:40Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 1.12, 2012/02/12 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -% Define the follwing gs-functions if not known, eg when using distiller -% -systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if -systemdict /.setblendmode known not {/.setblendmode { pop } def } if -systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if -% -/tx@Dict 200 dict def % the main PSTricks dictionary -tx@Dict begin -/ADict 25 dict def % The arrow dictionaray -/CM { matrix currentmatrix } bind def -/SLW /setlinewidth load def -/CLW /currentlinewidth load def -/CP /currentpoint load def -/ED { exch def } bind def -/L /lineto load def -/T /translate load def -/TMatrix { } def -/RAngle { 0 } def -/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments -/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known -/ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter) -/Div { dup 0 eq { pop } { div } ifelse } def % control the division -/tan { dup cos abs 1.e-10 lt - { pop 1.e10 } % return 1.e10 as infinit - { dup sin exch cos div } ifelse % default sin/cos -} def -/Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees -/Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root - pop pop 0 }{ sqrt exch atan} ifelse } def -/NET { neg exch neg exch T } def % change coordinate system to the negative one -/Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter -/Pyth2 { % Pythagoras, xA yA xB yB - 3 -1 roll % xA xB yB yA - sub % xA xB yB-yA - 3 1 roll % yB-yA xA xB - sub % yB-yA xA-xB - Pyth } def -/PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian -/Rand { rand 4294967295 div } def % a real random number -%----------------- hv added 20050516 --------------- -/PiDiv2 1.57079632680 def -/Pi 3.14159265359 def -/TwoPi 6.28318530718 def -/Euler 2.71828182846 def -%/e Euler bind def -% -/RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees -/DegtoRad { Pi mul 180 div } bind def % viceversa -%----------------- hv end--------------------------- -/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def -% -/PathLength { - flattenpath /z 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } - { /y ED /x ED PathLength@ } - {} - { /y y2 def /x x2 def PathLength@ } - /pathforall load stopped { pop pop pop pop } if - z -} def -% -/STP { .996264 dup scale } def % BP/PT scaling -/STV { SDict begin normalscale end STP } def % -% -/DashLine { - dup 0 gt - { /a .5 def PathLength exch div } - { pop /a 1 def PathLength } ifelse - /b ED % pattern should fit evenly in b - dup /X ED % pattern array - 0 get /y ED % length of first black segment - /z 0 X {add} forall def % length of the full pattern - %% Computation of the scaling factor as described by van Zandt: - b a .5 sub 2 mul y mul sub z Div round - z mul a .5 sub 2 mul y mul add b exch Div - %%%% scaling factor on stack. - /z ED %% now, z is the scaling factor - false % for the length test below - X { z mul } forall X astore %% modification TN 04-08-07 - %%% Checking whether at least one dash in X has positive length: - {0 gt or} forall - { X 1 a sub y mul } - { [ 1 0 ] 0 } - ifelse - setdash stroke -} def -% -/DotLine { - /b PathLength def - /a ED /z ED /y CLW def - /z y z add def - a 0 gt { - /b b a div def - }{ - a 0 eq { - /b b y sub def - }{ a -3 eq { - /b b y add def } if - } ifelse - } ifelse - [ 0 b b z Div round Div dup 0 le { pop 1 } if ] - a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse - setdash 1 setlinecap stroke -} def -% -/SymbolLine { % on stack [ x y x y ... - counttomark % number of elements - 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - - %% for negative SymStep we calculate the distance - SymStep 0 lt - { %XYLength SymStep div abs cvi - /nSym SymStep abs cvi def } - { /nSym XYLength SymStep div cvi def } - ifelse - 0.5 setflat - /Shift Symbol stringwidth pop 2 div def - /deltaX XLength nSym div def - /deltaY YLength nSym div def - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - nSym { - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - currentpoint translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - deltaX deltaY rmoveto - } repeat - /YA YB def /XA XB def - } repeat - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - XA YA translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - pop % delete the mark symbol -} def -% -/LineFill { % hv ------------ patch 7 ------------- - gsave - abs /hatchWidthInc ED - abs /hatchSepInc ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - 2 setlinecap - systemdict - /setstrokeadjust known { true setstrokeadjust } if - x2 x1 sub 1 add { - x1 a mul y1 moveto 0 y2 rlineto stroke - /x1 x1 1 add - hatchWidthInc 0 gt { CLW add } if - def - hatchSepInc 0 gt hatchWidthInc 0 gt or { - /a a hatchSepInc add def - CLW hatchWidthInc add SLW - } if - } repeat - grestore - pop pop } def -% -/DotFill {% on stack: dot radius - /dotRadius ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform - pathbbox % llx lly urx ury of smallest bounding box - /y2 ED /x2 ED /y1 ED /x1 ED - y2 y1 sub a div 2 add cvi /Ny ED - x2 x1 sub a div 2 add cvi /Nx ED - clip - newpath - /yA y1 dotRadius add CLW add def - /xA0 x1 dotRadius add CLW add def - Ny { - /xA xA0 def - Nx { - newpath - xA yA dotRadius 0 360 arc - SolidDot { gsave fill grestore } if - stroke - xA a add /xA ED - } repeat - yA a add /yA ED - } repeat - grestore -} def -% -/PenroseFill {% on stack: scaling factor - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} - { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall - [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto - i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 - mul j l + S rmoveto}F i L j L stroke }F}F}F}F - grestore - pop pop -} def -% -/TruchetFill { % on stack: scaling factor - 10 dict begin - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /ma a neg def - /ha a 2 div def - /mha ha neg def - /tile { - rand dup 2 idiv 2 mul eq { 90 rotate } if - mha mha moveto ha mha lineto - ha ha lineto mha ha lineto -% closepath .1 setlinewidth stroke - contents - } def - /contents{ - 0 ha moveto ha 0 lineto - 0 mha moveto mha 0 lineto -% 1 setlinewidth stroke - } def - /dotiling { - f ma mul a f a mul { - /i exch def - f ma mul a f a mul { - /j exch def - gsave i j translate - tile stroke grestore - } for - } for - } def -% - /f 3 def - 5 srand dotiling - end % local user dict -} def -% -/BeginArrow { - ADict begin % hold it local, for end see EndArrow - /@mtrx CM def - gsave - 2 copy T - 2 index sub neg exch - 3 index sub exch Atan - rotate newpath -} def -% -/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict -% -/Arrow { - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /a ED - { 0 h T 1 -1 scale } if - w neg h moveto - 0 0 L w h L w neg a neg rlineto - gsave fill grestore -} def -% -/ArrowD { % the sides are drawn as curves (hv 20071211) - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction -% we use y=w/h^2 * x^2 as equation for the control points -% for the coordinates the arrow is seen from top to bottom -% the bottom (tip) is (0;0) - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > - w neg Inset neg rlineto % move to x=0 and inset - gsave fill grestore -} def -% -/Tbar { - CLW mul add /z ED - z -2 div CLW 2 div moveto - z 0 rlineto stroke - 0 CLW moveto -} def -% -/Bracket { - CLW mul add dup CLW sub 2 div - /x ED mul CLW add /y ED /z CLW 2 div def - x neg y moveto - x neg CLW 2 div L x CLW 2 div L x y L stroke - 0 CLW moveto -} def -% -/RoundBracket { - CLW mul add dup 2 div - /x ED mul /y ED /mtrx CM def - 0 CLW 2 div T x y mul 0 ne { x y scale } if - 1 1 moveto - .85 .5 .35 0 0 0 curveto - -.35 0 -.85 .5 -1 1 curveto - mtrx setmatrix stroke 0 CLW moveto -} def -% -/SD { 0 360 arc fill } def -% -/EndDot { % DS is the dot size - { /z DS def } { /z 0 def } ifelse % outer or inner dimen - /b ED % the color definition - 0 z DS SD - b { 0 z DS CLW sub SD } if - 0 DS z add CLW 4 div sub - moveto -} def -% -/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { - /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto - load } if ] cvx newpath 3 1 roll T exec } def -% -/NArray { % holds the coordinates and on top of stack the showpoints boolean - /showpoints ED - counttomark 2 div dup cvi /n ED % n 2 div on stack - n eq not { exch pop } if % even numbers of points? delete one - ] aload /Points ED - showpoints not { Points aload pop } if -% { ] aload /Points ED } -% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol -} def -% -/Line { - NArray n 0 eq not - { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def - n { Lineto } repeat - CP 4 2 roll ArrowB L pop pop - } if -} def -% -/LineToYAxis { - /Ox ED % Save the x origin value - NArray % all x-y pairs on stack - n { 2 copy moveto % go to current point - Ox exch Lineto % line to y-axis - pop % delete old x-value - } repeat -} def -% -/LineToXAxis{ - /Oy ED % Save the y origin value - NArray % all x-y pairs on stack - n 0 eq not - { n 1 eq { 0 0 /n 2 def } if - ArrowA - /n n 2 sub def - CP 2 copy moveto pop Oy Lineto - n { 2 copy moveto pop Oy Lineto } repeat - CP - 4 2 roll - ArrowB - 2 copy moveto pop Oy - L - pop pop } if -} def -% -/Arcto { - /a [ 6 -2 roll ] cvx def - a r - /arcto load stopped { 5 } { 4 } ifelse { pop } repeat - a -} def -% -/CheckClosed { - dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq - and { pop pop /n n 1 sub def } if -} def -% -/Polygon { - NArray n 2 eq { 0 0 /n 3 def } if - n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - n 2 mul -2 roll - /y0 ED /x0 ED /y1 ED /x1 ED - x1 y1 - /x1 x0 x1 add 2 div def - /y1 y0 y1 add 2 div def - x1 y1 moveto - /n n 2 sub def - n { Lineto } repeat - x1 y1 x0 y0 6 4 roll Lineto - Lineto pop pop closepath } ifelse -} def -% -/SymbolPolygon { % on stack [ x y x y ... - counttomark % number of elements - 2 add /m ED - 2 copy m 2 roll % copy last two - m 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - /nSym XYLength SymStep Div cvi def - /Shift Symbol stringwidth pop 2 Div def - /deltaX XLength nSym Div def - /deltaY YLength nSym Div def - XA Shift sub YA Shift sub moveto - nSym { - gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - grestore - deltaX deltaY rmoveto - } repeat -% XB Shift sub YB Shift sub moveto Symbol show - /YA YB def /XA XB def - } repeat - pop % delete the mark symbol -} def -% -/Diamond { - /mtrx CM def - T rotate - /h ED - /w ED - dup 0 eq { pop } { CLW mul neg - /d ED - /a w h Atan def - /h d a sin Div h add def - /w d a cos Div w add def } ifelse - mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div - /ArrowA { moveto } def - /ArrowB { } def - false Line - closepath mtrx setmatrix } def -% -/Triangle { - /mtrx CM def - translate - rotate /h ED 2 div /w ED - dup CLW mul /d ED - /h h d w h Atan sin Div sub def - /w w d h w Atan 2 div dup cos exch sin Div mul sub def - mark - 0 d w neg d 0 h w d 0 d - /ArrowA { moveto } def - /ArrowB { } def - false - Line - closepath - mtrx -% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) -% setmatrix } def - setmatrix pop -} def -% DG/SR modification end -% -/CCA { - /y ED /x ED - 2 copy y sub /dy1 ED - x sub /dx1 ED - /l1 dx1 dy1 Pyth def -} def -% -/CC { - /l0 l1 def - /x1 x dx sub def - /y1 y dy sub def - /dx0 dx1 def - /dy0 dy1 def - CCA - /dx dx0 l1 c exp mul dx1 l0 c exp mul add def - /dy dy0 l1 c exp mul dy1 l0 c exp mul add def - /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def - /x2 x l0 dx mul m mul sub def - /y2 y l0 dy mul m mul sub def - /dx l1 dx mul m mul neg def - /dy l1 dy mul m mul neg def -} def -% -/IC { - /c c 1 add def - c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse - /a a 2 mul 3 div 45 cos b exp div def - CCA - /dx 0 def - /dy 0 def -} def -% -/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def -/NC { CC x1 y1 x2 y2 x y curveto } def -/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def -/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def -/NAC { x2 y2 x y curveto CC x1 y1 } def -/EAC { x2 y2 x y ArrowB curveto pop pop } def -% -/OpenCurve { - NArray n 3 lt - { n { pop pop } repeat } - { BOC /n n 3 sub def n { NC } repeat EOC } ifelse -} def -% -/CurvePath { - %% for negative SymStep we calculate the distance - SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if - 0.5 setflat - flattenpath /z 0 def /z0 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def - x1 Shift sub y1 Shift sub moveto - gsave - curveticks - { x1 y1 translate startAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { startAngle rotate Symbol show } - ifelse - grestore /z0 z def } - { /y ED /x ED PathLength@ z z0 sub SymStep ge { - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore /z0 z def } if - /yOld y def /xOld x def } - {} %% the lineto part - { /y y2 def /x x2 def PathLength@ - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - x Shift sub y Shift sub moveto - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - } - pathforall -% curveticks -% { gsave -% x y translate rotAngle rotate -% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto -% SymbolLinewidth setlinewidth stroke grestore -% } if - z -} def -% -/OpenSymbolCurve { - OpenCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/AltCurve { - { false NArray n 2 mul 2 roll - [ n 2 mul 3 sub 1 roll ] aload - /Points ED - n 2 mul -2 roll } - { false NArray } ifelse - n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse -} def -% -/AltOpenSymbolCurve { - AltCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedCurve { - NArray n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - 6 copy n 2 mul 6 add 6 roll - IC CC x y moveto n { NC } repeat - closepath pop pop - } ifelse -} def -% -/ClosedSymbolCurve { - ClosedCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def -/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def -/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def -% -/FontDot { - DS 2 mul dup - matrix scale matrix concatmatrix exch matrix - rotate matrix concatmatrix exch - findfont exch makefont setfont -} def -% -/Rect { - x1 y1 y2 add 2 div moveto - x1 y2 lineto - x2 y2 lineto - x2 y1 lineto - x1 y1 lineto - closepath -} def -% -/OvalFrame { - x1 x2 eq y1 y2 eq or - { pop pop x1 y1 moveto x2 y2 L } - { y1 y2 sub abs x1 x2 sub abs 2 copy gt - { exch pop } { pop } ifelse - 2 div exch { dup 3 1 roll mul exch } if - 2 copy lt { pop } { exch pop } ifelse - /b ED - x1 y1 y2 add 2 div moveto - x1 y2 x2 y2 b arcto - x2 y2 x2 y1 b arcto - x2 y1 x1 y1 b arcto - x1 y1 x1 y2 b arcto - 16 { pop } repeat - closepath - } ifelse -} def -% -/Frame { - CLW mul /a ED - 3 -1 roll - 2 copy gt { exch } if - a sub /y2 ED - a add /y1 ED - 2 copy gt { exch } if - a sub /x2 ED - a add /x1 ED - 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse -} def -% -/BezierNArray { - /f ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat - f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse -} def -% -/OpenBezier { - BezierNArray - n 1 eq - { pop pop } - { ArrowA n 4 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - 6 2 roll 4 2 roll ArrowB curveto } ifelse -} def -% -/OpenSymbolBezier { - OpenBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedBezier { - BezierNArray - n 1 eq - { pop pop } - { moveto n 1 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - closepath } ifelse -} def -% -/ClosedSymbolBezier { - /f ED % save showpoints value - 2 copy /yEnd ED /xEnd ED - counttomark -2 roll 2 copy /yStart ED /xStart ED - counttomark 2 roll - f - ClosedBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath - [ xEnd yEnd xStart yStart SymbolLine -} def -% -/BezierShowPoints { - gsave - Points aload length 2 div cvi /n ED - moveto - n 1 sub { lineto } repeat - CLW 2 div SLW [ 4 4 ] 0 setdash stroke - grestore -} def -% -/Parab { - /y0 ED /x0 ED /y1 ED /x1 ED - /dx x0 x1 sub 3 div def - /dy y0 y1 sub 3 div def - x0 dx sub y0 dy add x1 y1 ArrowA - x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def -} def -% -/Parab1 { % 1 end | 0 SP - /ySP ED /xSP ED /y1 ED /x1 ED - /dx xSP x1 sub 3 div def - /dy ySP y1 sub 3 div def - newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto - x1 ySP lineto closepath clip - currentpoint - newpath moveto - xSP dx sub ySP dy add x1 y1 ArrowA - xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def -} def -% -/Grid { - newpath - /a 4 string def - /b ED % psk@gridlabels in pt - /c ED % { \pst@usecolor\psgridlabelcolor } - /n ED % psk@griddots - cvi dup 1 lt { pop 1 } if - /s ED % \psk@subgriddiv - s div dup 0 eq { pop 1 } if - /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs - /dx ED dy div round dy mul % \pst@number\psxunit abs - /y0 ED dx div round dx mul - /x0 ED dy div round cvi - /y2 ED dx div round cvi - /x2 ED dy div round cvi - /y1 ED dx div round cvi - /x1 ED - /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def - /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def - b 0 gt { - /z1 b 4 div CLW 2 div add def -% /Helvetica findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if - systemdict /setstrokeadjust known - { true setstrokeadjust /t { } def } - { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add - exch itransform } bind def } ifelse - gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse - /i x1 def - /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def - /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def - x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - { i dx mul dup y0 moveto - b 0 gt - { gsave c i a cvs dup stringwidth pop - /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse - h 0 gt {b neg}{z1} ifelse - rmoveto show grestore } if - dup t f moveto - g t L stroke - /i i w add def - } repeat - grestore - gsave - n 0 gt - % DG/SR modification begin - Nov. 7, 1997 - Patch 1 - %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } - { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } - % DG/SR modification end - { 2 setlinecap } ifelse - /i y1 def - /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def - /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def - y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - { newpath i dy mul dup x0 exch moveto - b 0 gt { gsave c i a cvs dup stringwidth pop - /z2 ED - w 0 gt {z1 z2 add neg} {z1} ifelse - h 0 gt {z1} {b neg} ifelse - rmoveto show grestore } if - dup f exch t moveto - g exch t L stroke - /i i h add def - } repeat - grestore -} def -% -/ArcArrow { - /d ED /b ED /a ED - gsave - newpath 0 -1000 moveto clip - newpath - 0 1 0 0 b - grestore - c mul - /e ED - pop pop pop r a e d PtoC y add exch x add - exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c - mul neg d -} def -% -/Ellipse { - /rotAngle ED - /mtrx CM def - T - rotAngle rotate - scale 0 0 1 5 3 roll arc - mtrx setmatrix -} def -% -/ArcAdjust { %%%% Vincent Guirardel -% given a target length (targetLength) and an initial angle (angle0) [in the stack], -% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). -% This computes an angle t such that (x0,y0) is at distance -% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). -% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 -% contrary to TvZ's code. -% To achieve, this, one iterates the following process: start with some angle t, -% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. -% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. -% -% Another difference with TvZ's code is that we need d (=add/sub) to be defined. -% the value of d = add/sub is used to know on which side we have to move. -% It is only used in the initialisation of the angle before the iteration. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Input stack: 1: target length 2: initial angle -% variables used : rx, ry, d (=add/sub) -% - /targetLength ED /angle0 ED - /x0 rx angle0 cos mul def - /y0 ry angle0 sin mul def -% we are looking for an angle t such that (x0,y0) is at distance targetLength -% from the point M(t)=(rx*cos(t),ry*sin(t))) -%initialisation of angle (using 1st order approx = TvZ's code) - targetLength 57.2958 mul - angle0 sin rx mul dup mul - angle0 cos ry mul dup mul - add sqrt div -% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees -% (if the ellipse is very curved at the point where we draw the arrow, % -% the value can be much more than 360 degrees !) -% this should avoid going on the wrong side (more than 180 degrees) or go near -% a bad attractive point (at 180 degrees) - dup 90 ge { pop 90 } if - angle0 exch d % add or sub -% maximum number of times to iterate the iterative procedure: -% iterative procedure: takes an angle t on top of stack, computes a -% better angle (and put it on top of stack) - 30 { dup -% compute distance D between (x0,y0) and M(t) - dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt -% if D almost equals targetLength, we stop - dup targetLength sub abs 1e-5 le { pop exit } if -% stack now contains D t -% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: -% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) - exch dup cos rx mul x0 sub exch sin ry mul y0 sub -% stack contains: y(t)-y0, x(t)-x0, d - 2 index Div targetLength mul y0 add ry Div exch - 2 index Div targetLength mul x0 add rx Div -% stack contains x(t')/rx , y(t')/ry , d -% now compute t', and remove D from stack - atan exch pop - } repeat -% we don't look at what happened... in particular, if targetLength is greater -% than the diameter of the ellipse... -% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... -% after iteration, stack contains an angle t such that M(t) is the tail of the arrow -% to give back the result as a an angle relative to angle0 we could add the following line: -% angle0 sub 0 exch d -% -% begin bug fix 2006-01-11 -% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 -%(we don't want to make the ellipse turn more or less than it should)... -dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse -% end bug fix -} def -% -/EllipticArcArrow { - /d ED % is add or sub - /b ED % arrow procedure - /a1 ED % angle - gsave - newpath - 0 -1000 moveto - clip % Set clippath far from arrow. - newpath - 0 1 0 0 b % Draw arrow to determine length. - grestore -% Length of arrow is on top of stack. Next 3 numbers are junk. -% - a1 exch ArcAdjust % Angular position of base of arrow. - /a2 ED - pop pop pop - a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig - a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig - a1 cos rx mul xOrig add % - a1 sin ry mul yOrig add % -% Now arrow tip coor and base coor are on stack. - b pop pop pop pop % Draw arrow, and discard coordinates. - a2 CLW 8 div -% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse - ArcAdjust -% resets original value of d - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. -} def -%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% -% -/Rot { CP CP translate 3 -1 roll neg rotate NET } def -% -/RotBegin { - tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if - /TMatrix [ TMatrix CM ] cvx def - /a ED - a Rot /RAngle [ RAngle dup a add ] cvx def -} def -% -/RotEnd { - /TMatrix [ TMatrix setmatrix ] cvx def - /RAngle [ RAngle pop ] cvx def -} def -% -/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def -/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def -/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def -% -/Uput { - /a ED - add 2 div /h ED 2 - div /w ED - /s a sin def - /c a cos def - /b s abs c abs 2 copy gt dup - /q ED - { pop } { exch pop } ifelse def - /w1 c b div w mul def - /h1 s b div h mul def - q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse -} def -% -/UUput { - /z ED - abs /y ED - /x ED - q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse - { x x mul y y mul sub z z mul add sqrt z add } - { q { x s div } { x c div } ifelse abs - } ifelse - a PtoC - h1 add exch - w1 add exch -} def -% -/BeginOL { - dup (all) eq exch TheOL eq or - { IfVisible not { Visible /IfVisible true def } if } - { IfVisible { Invisible /IfVisible false def } if } ifelse -} def -% -/InitOL { - /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def - /Visible { CP OLUnit idtransform T moveto } def - /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def - /BOL { BeginOL } def - /IfVisible true def -} def -% -%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a -end -} def -% -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -end -%-----------------------------------------------------------------------------% -% -% END pstricks.pro - -%%EndProcSet -%%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ -%% -%% PostScript prologue for PSTricks algorithm parser -%% Version 0.04, 2011/10/21 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%%-----------------------------------------------------------------------------% -% -/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez -% -/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin -% -% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 -% -% 09/2011 DR factorial with ! added -% -% E->T|E+T -% T->FS|T*FS -% FS -> F | +FS | -FS -% F->P|F^SF|P! -% P->(E)|literal -% literal->number|var|var[E]|func(params) -% params->E|E,param -% number->TOBEFINISHED -% -%% E expression, T term, SF signed factor, F factor, P power -% -%% parser -% -%% str -% -%% C->E<condition_operators>E -%% STR index -> STR index+lenExpr -/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def -% -%% analyze Expression List (separator , or | ) -%% STR index -> STR index+lenExpr -%% /AnalyzeListOfE { -%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar -%% NextNonBlankChar dup 0 eq { pop exit } if -%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if -%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop -%% AnalyzeListOfEPostHook -%% } def -/AnalyzeListOfE { - /NotFirst false def - { NextNonBlankChar pop AnalyzeExpr - NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse - dup Strlen eq { exit } if NextNonBlankChar - dup 44 ne 1 index 124 ne and - { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } - if pop 1 add } loop - AnalyzeListOfEPostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% E->T|E+T -%% STR index -> STR index+lenExpr -/AnalyzeExpr { - AnalyzePreHook AnalyzeTerm IsEndingExpr - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% T->FS|T*FS -%% STR index -/AnalyzeTerm { - AnalyzePreHook AnalyzeSignedFactor IsEndingTerm - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FS -> F | +FS | -FS -%% STR index -/AnalyzeSignedFactor { - AnalyzePreHook 2 copy get dup IsUnaryOp - { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } - { pop AnalyzeFactor } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% F->P|F^P|P! -%% STR index -/AnalyzeFactor { - AnalyzePreHook AnalyzePower IsEndingFactor - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { dup 33 eq%% is there a ! DR 09/2011 - { pop 1 add NextNonBlankChar pop EvalFactorial } - { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } - ifelse - IsEndingFactor { pop exit } if } loop } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% P->(E)|literal -%% STR index -/AnalyzePower { - %% depending of first char either a number, or a literal - 2 copy get dup 40 eq%%an open par - { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } - { AnalyzeLiteral } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index STR[index] -> STR index -%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def -/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% recognize + or - -%% chr -> T/F -/IsUnaryOp { dup 43 eq exch 45 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadNumber { - exch dup 3 -1 roll dup 3 1 roll - %%read mantissa - { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop - dup 101 eq exch 69 eq or - %%% there is a "e" or "E" -> read exponant - { 1 add 2 copy get dup IsUnaryOp - { pop 1 add 2 copy get } if - { IsNumber not { exit } if 1 add 2 copy get } loop } - if - dup 4 1 roll - 3 -1 roll exch 1 index sub getinterval -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadCondOp { - NextNonBlankChar 1 index 4 1 roll - { IsCondOp not { exit } if 1 add 2 copy get } loop - 2 copy 5 -1 roll - exch 1 index sub getinterval 3 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can contain only : 0123456789. -%% chr -> T/F -/IsLiteral {% - dup 48 ge exch dup 57 le 3 -1 roll and exch - dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch - dup 97 ge exch 122 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? -%% STR index -> literal STR index' nextchr -/ReadLiteral { - exch dup 3 -1 roll dup 3 1 roll - %%read literal core - { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop - 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a clpar -%% STR index -> STR index STR[index] T/F -/IsEndingExpr {% - 2 copy dup Strlen eq - %% if end of str is reached -> end ! - { pop pop 0 true } - %% ending chr -> clpar, comma, |, <, >, =, !, - {get dup dup 41 eq - exch dup 124 eq - exch dup 93 eq - exch dup 44 eq - exch dup 30 eq - exch dup 60 ge exch 62 le and or or or or or} - ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a +- -%% STR index -> STR index STR[index] T/F -/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or */ -%% STR index -> STR index STR[index] T/F -/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or ^ -%% STR index -> STR index STR[index] T/F -/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index STR[index] -/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def -/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def -%%%%%%%%%%%%%%%%%%%%%%%% -%% DEBUG -/BRK {false} def -/BRKtrue {/BRK true def} def -/BRKStop {BRK {BRKtoto} if } def -/BRKEvalStop {BRK exch if } def -/BRKBRK2true {BRK {BRK2true} if } def -/BRK2 {false} def -/BRK2true {/BRK2 true def} def -/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def -end -% -%-------------------------------------------------------------------------------% -% -/tx@AlgToPs 12 dict def tx@AlgToPs begin -% -%% algExpr -> PSVector -/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def -/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def -/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def -/Strlen 0 def -/EvalListOfExpr {} def% -/EvalNumber {% - ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx - exch 1 add array astore def NextNonBlankChar pop } def -/EvalAddSub {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def -} def -/EvalMulDiv {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def -} def -/EvalPower {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - pop /exp cvx exch 1 add array astore def -} def -/EvalFactorial {% DR 09/2011 - /ExpressionVector ExpressionVector aload length - /fact cvx exch 1 add array astore def -} def -/EvalLiteral {% - ReadLiteral - dup 40 eq%%% there is an open par -> function call - { pop 2 index - dup (Sum) eq { EvalSum } - { dup (IfTE) eq { EvalCond } - { dup (Derive) eq { pop EvalDerive } - { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx - exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } - { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def - dup 91 eq%%% there is an open bracket -> vector element - { pop 1 add NextNonBlankChar pop AnalyzeExpr - /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } - { pop NextNonBlankChar pop } - ifelse} - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% the derive function : Derive(n,f(x)) -%% firstparindex lastparindex -> -/EvalDerive { - %% manage the function descripiton - 1 add ReadNumber 3 1 roll NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - 1 add NextNonBlankChar pop - 3 -1 roll cvi - dup 0 eq - { pop AnalyzeExpr 3 -1 roll pop 1 add } - { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll - { (x) tx@Derive begin Derive end } repeat - ExpressionVector exch /ExpressionVector [] def - AlgToPs aload length - /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def - l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add - 1 index length /Strlen exch def } ifelse -} def -/EvalSum {% - pop 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll - 5 -1 roll 4 add array astore def - %% keep ExpressionVector for later and create a new one for internal Sum computation - ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def - 1 add NextNonBlankChar pop AnalyzeExpr - %% add each term - /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def - /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add - array astore def 3 -1 roll pop 1 add -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -/EvalCond {% - pop 1 add AnalyzeCond NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - ExpressionVector 3 1 roll /ExpressionVector [] def - 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def - NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add AnalyzeExpr - NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if - ExpressionVector - /ExpressionVector 6 -1 roll aload length dup - 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def - 1 add 3 -1 roll pop -} def -%% CondOp STR index -/EvalCondOp {% - 3 -1 roll - dup (=) eq { /eq } {% - dup (<) eq { /lt } {% - dup (>) eq { /gt } {% - dup (>=) eq { /ge } {% - dup (<=) eq { /ge } {% - dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } - ifelse } ifelse } ifelse } ifelse } ifelse } ifelse - cvx exch pop - /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def -/EvalUnaryOp { - 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook {} bind def -/PreEvalHook {} bind def -/AnalyzeListOfEPostHook {} bind def -/AnalyzePostHook {} def -/RollOp { 3 1 roll } bind def -end %tx@CoreAnalyzerDict -% -%--------------------------------------------------------------------% -% -/tx@Derive 41 dict def tx@Derive begin -%%increase ^^ for each function added -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable -> PSVector -/Derive {% - 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end -} def -/Strlen 0 def -/InitParser { dup length /Strlen exch def 0 } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable index -> PSVector -/DeriveIndexed {% - 3 1 roll 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u,v)'=-(u',v') -/EvalListOfExpr {% - 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe - 2 copy 7 -1 roll dup length 4 1 roll putinterval add - 6 -2 roll pop pop - 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (-u)'=-(u') -/EvalUnaryOp { - 4 -2 roll 4 index (0) eq - { (0) StrConcat 7 -1 roll pop } - { 7 -1 roll 45 eq - { AddSub AddOpPar true } { false } ifelse - 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (number)'=0 -/EvalNumber { ReadNumber (0) 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u+v)'=u'+v' -/EvalAddSub {% - 7 index dup (0) eq - { pop true }%% du=0 nothing added - { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } - ifelse - 5 index dup (0) eq - { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 - { exch - { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added - { 5 -2 roll 7 index 43 eq%%something yet added - { AddAdd false } { AddSub AddOpPar true } ifelse } - ifelse 11 1 roll - 3 -1 roll StrConcat 10 -1 roll { AddClPar } if - 2 copy pop 0 6 2 roll GetIntervalNewStr } - ifelse - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)' or (u/v)' -/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)'=u'*v+u*v' -/EvalMul {% - 4 -2 roll 7 index dup (0) eq - { pop false }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if - true }%%du!=0 - ifelse - 5 1 roll 5 index (0) eq - { 5 -1 roll not { (0) StrConcat } if }%%dv=0 - { 5 -1 roll { AddAdd } if - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - }%%dv!=0 - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u/v)'=(u'*v-u*v')/v^2 -/EvalDiv {% - 4 -2 roll - 4 index (0) eq%%dv=0 -> u'/v - { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } - { 7 index dup (0) eq - { pop }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 - ifelse - AddSub - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - %}%%dv!=0 - 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar - AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str1 index str2 -> str1 index -/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def -/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) -/EvalPower {% - 4 -2 roll 7 index (0) eq - {%%if du=0 then (u^v)'=v'ln(u)u^v - 4 index (0) eq - { (0) StrConcat }%%if dv=0 then (u^v)'=0 - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if - 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if - AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse - } - {%%du!=0 - 4 index (0) eq - {%%if dv=0 then (u^v)'=vu'u^(v-1) - 5 index dup IsStrNumber - { dup (0) eq - { StrConcat } - { dup dup (1) eq exch (1.0) eq or - { StrConcat } - { StrConcat - 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 - { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 - (*\() StrConcat 8 index StrConcat (\)) StrConcat - 5 index dup dup (2) eq exch (2.0) eq or - { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } - { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)) StrConcat } ifelse - } - {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) - 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if - AddOpPar 5 index StrConcat (\)*\() StrConcat - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)+\() StrConcat - 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (\)*ln\() StrConcat - 8 index StrConcat AddClPar - } ifelse - } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for factorial ! only cst => null derivative -/EvalFactorial {% DR 09/2011 - 4 index (0) eq - { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } - { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str -> true/false -/IsStrNumber {% - true exch - { dup 48 lt exch dup 57 gt 3 -1 roll or - exch dup 46 ne%%. - exch dup 43 ne%%+ - exch 45 ne%%- - and and and { pop false } if } forall -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalLiteral {% - ReadLiteral dup 40 eq%%% there is an open par -> function call - { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } - { dup 91 eq%%% there is an open bracket -> vector element - { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } - { pop EvalVariable } - ifelse } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% first last parpos Expr[first:parpos-1] -> -/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (f(u))'=u'f'(u) -/EvalFunc { - 4 2 roll 4 index (1) ne - { AddOpPar 4 index StrConcat (\)*) StrConcat } if - (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Func derivative -> Eval<func> -/EvalFunc_sin {% - PreCommonFunc - { (cos\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_cos {% - PreCommonFunc - { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_tan {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_asin {% - PreCommonFunc - { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_acos {% - PreCommonFunc - { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_atg {% - PreCommonFunc - { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_ln {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_exp {% - PreCommonFunc - { (exp\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_EXP {% - PreCommonFunc - { (EXP\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_sqrt {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Fact {% - PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if - PostCommonFunc } def -/EvalFunc_sh {% - PreCommonFunc - { (ch\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ch {% - PreCommonFunc - { (sh\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_th {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argsh {% - PreCommonFunc - { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argch {% - PreCommonFunc - { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argth {% - PreCommonFunc - { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -/PreCommonFunc { - 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop - 4 2 roll 4 index (0) eq - { (0) StrConcat false } - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse -} def -/PostCommonFunc { - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -/EvalFunc_Derive {% - 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs - 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add - 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval - exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_Sum {% - 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop 3 -1 roll pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if - 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat - 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_IfTE {% - 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond - NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - 1 add NextNonBlankChar pop dup 5 1 roll - AnalyzeExpr NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add NextNonBlankChar pop - AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat - 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% advance in str until a comma is found (no error detection!) -%% str index -> str index' -/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for condition.... -/EvalCondOp { 3 -1 roll pop } bind def -/PutIntervalOneAdd {putinterval 1 add} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add close parenthesis in string at the given index -%% str index -> str index+1 -/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add 0 in string at the given index -%% str index -> str index+1 -/AddZero {2 copy (0) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddMul {2 copy (*) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddDiv {2 copy (/) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a plus sign in string at the given index -%% str index -> str index+1 -/AddAdd {2 copy (+) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a minus sign in string at the given index -%% str index -> str index+1 -/AddSub {2 copy (-) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a pipe sign in string at the given index -%% str index -> str index+1 -/AddPipe {2 copy (|) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook { dup 5 1 roll } bind def -/PreEvalHook {} def -/AnalyzePostHook { 7 -1 roll pop } bind def -/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def -/RollOp { 5 1 roll } bind def -end%%%tx@CoreAnalyzerDict -/tx@AddMathFunc 12 dict def tx@AddMathFunc begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% NEW FUNC -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) -%% x -> theta -/asin {% - dup abs 1 gt { EQDFasinrangeerror } if - dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad -} def -%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) -%% x -> theta -/acos {% - dup abs 1 gt { EQDFacosrangeerror } if - dup dup mul 1 exch sub sqrt exch atan DegtoRad -} def -%% function arctangent in radians -%% x -> theta -/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def -%% HYPERBOLIC FUNCTIONS -/sh { dup Ex exch neg Ex sub 2 div } def -/ch { dup Ex exch neg Ex add 2 div } def -/th { dup sh exch ch div } def -/Argsh { dup dup mul 1 add sqrt add ln } def -/Argch { dup dup mul 1 sub sqrt add ln } def -/Argth { dup 1 add exch 1 exch sub div ln 2 div } def -%% modified exponential funtion for 0 -%% x n -> x^n -/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def -%% modified exponential funtion for 0 -%% x -> e^x -/Ex { Euler exch exp } bind def -%% -%% factorial function -%% n -> n! -/Fact { 1 exch 2 exch 1 exch { mul } for } bind def -/fact { Fact } bind def -/! { Fact } bind def -end -% -% END pst-algparser.pro - -%%EndProcSet -%%BeginProcSet: pst-tools.pro 0 0 -% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ -% -%% PostScript tools prologue for pstricks.tex. -%% Version 0.02, 2012/01/01 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -/Pi2 1.57079632679489661925640 def -/factorial { % n on stack, returns n! - dup 0 eq { 1 }{ - dup 1 gt { dup 1 sub factorial mul } if } - ifelse } def -% -/MoverN { % m n on stack, returns the binomial coefficient m over n - 2 dict begin - /n exch def /m exch def - n 0 eq { 1 }{ - m n eq { 1 }{ - m factorial n factorial m n sub factorial mul div } ifelse } ifelse - end -} def -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% subroutines for complex numbers, given as an array [a b] -% which is a+bi = Real+i Imag -% -/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] - dup 0 get % [a1 b1] [a2 b2] a2 - 3 -1 roll % [a2 b2] a2 [a1 b1] - dup 0 get % [a2 b2] a2 [a1 b1] a1 - 3 -1 roll % [a2 b2] [a1 b1] a1 a2 - add % [a2 b2] [a1 b1] a1+a2 - 3 1 roll % a1+a2 [a2 b2] [a1 b1] - 1 get % a1+a2 [a2 b2] b1 - exch 1 get % a1+a2 b1 b2 - add 2 array astore -} def -% -/cxneg { % [a b] - dup 1 get % [a b] b - exch 0 get % b a - neg exch neg % -a -b - 2 array astore -} def -% -/cxsub { cxneg cxadd } def % same as negative addition -% -% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] -/cxmul { % [a1 b1] [a2 b2] - dup 0 get % [a1 b1] [a2 b2] a2 - exch 1 get % [a1 b1] a2 b2 - 3 -1 roll % a2 b2 [a1 b1] - dup 0 get % a2 b2 [a1 b1] a1 - exch 1 get % a2 b2 a1 b1 - dup % a2 b2 a1 b1 b1 - 5 -1 roll dup % b2 a1 b1 b1 a2 a2 - 3 1 roll mul % b2 a1 b1 a2 b1a2 - 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 - 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 - 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 - 4 -1 roll add % b1 a2 a1 b2 b3 - 4 2 roll mul % b1 b2 b3 a1a2 - 4 2 roll mul sub % b3 a3 - exch 2 array astore -} def -% -% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] -/cxsqr { % [a b] square root - dup 0 get exch 1 get % a b - dup dup mul % a b b^2 - 3 -1 roll % b b^2 a - dup dup mul % b b^2 a a^2 - 3 -1 roll sub % b a a2 - 3 1 roll mul 2 mul % a2 b2 - 2 array astore -} def -% -/cxsqrt { % [a b] -% dup cxnorm sqrt /r exch def -% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 - cxlog % log[a b] - 2 cxrdiv % log[a b]/2 - aload pop exch % b a - 2.781 exch exp % b exp(a) - exch cxconv exch % [Re +iIm] exp(a) - cxrmul % -} def -% -/cxarg { % [a b] - aload pop % a b - exch atan % arctan b/a - DegtoRad % arg(z)=atan(b/a) -} def -% -% log[a b] = [a^2-b^2 2ab] = [a2 b2] -/cxlog { % [a b] - dup % [a b][a b] - cxnorm % [a b] |z| - log % [a b] log|z| - exch % log|z|[a b] - cxarg % log|z| Theta - cxmake2 % [log|z| Theta] -} def -% -% square of magnitude of complex number -/cxnorm2 { % [a b] - dup 0 get exch 1 get % a b - dup mul % a b^2 - exch dup mul add % a^2+b^2 -} def -% -/cxnorm { % [a b] - cxnorm2 sqrt -} def -% -/cxconj { % conjugent complex - dup 0 get exch 1 get % a b - neg 2 array astore % [a -b] -} def -% -/cxre { 0 get } def % real value -/cxim { 1 get } def % imag value -% -% 1/[a b] = ([a -b]/(a^2+b^2) -/cxrecip { % [a b] - dup cxnorm2 exch % n2 [a b] - dup 0 get exch 1 get % n2 a b - 3 -1 roll % a b n2 - dup % a b n2 n2 - 4 -1 roll exch div % b n2 a/n2 - 3 1 roll div % a/n2 b/n2 - neg 2 array astore -} def -% -/cxmake1 { 0 2 array astore } def % make a complex number, real given -/cxmake2 { 2 array astore } def % dito, both given -% -/cxdiv { cxrecip cxmul } def -% -% multiplikation by a real number -/cxrmul { % [a b] r - exch aload pop % r a b - 3 -1 roll dup % a b r r - 3 1 roll mul % a r b*r - 3 1 roll mul % b*r a*r - exch 2 array astore % [a*r b*r] -} def -% -% division by a real number -/cxrdiv { % [a b] r - 1 exch div % [a b] 1/r - cxrmul -} def -% -% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian -/cxconv { % theta - RadtoDeg dup sin exch cos cxmake2 -} def - -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { % on stack must be an array [ ... ] -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a % return the sorted array -end -} def -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -%-----------------------------------------------------------------------------% -% END pst-tools.pro - -%%EndProcSet -%%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 2.02, 2009/06/16 -%% -%% For distribution, see pstricks.tex. -%% -%% Timothy Van Zandt <tvz@Princeton.EDU> -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%% Modified by Etienne Riga - Dec. 16, 1999 -%% Modified by Etienne Riga - 2005/01/01 (er) -%% to add /Diamond, /SolidDiamond and /BoldDiamond -%% Modified by Herbert Voss (hv) - 2008/04/17 -% -10 dict dup begin % hold local - /FontType 3 def - /FontMatrix [.001 0 0 .001 0 0] def -% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv - /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph - /Encoding 256 array def - 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef - Encoding % replace with given dot names - dup (b) 0 get /Bullet put % get the numerical position of b in ASCII -% % and save /Bullet at this place in Encoding - dup (c) 0 get /Circle put - dup (C) 0 get /BoldCircle put % 67 - dup (u) 0 get /SolidTriangle put - dup (t) 0 get /Triangle put - dup (T) 0 get /BoldTriangle put - dup (r) 0 get /SolidSquare put - dup (s) 0 get /Square put - dup (S) 0 get /BoldSquare put - dup (q) 0 get /SolidPentagon put - dup (p) 0 get /Pentagon put - dup (P) 0 get /BoldPentagon put -%%% - dup (k) 0 get /Asterisk put - dup (K) 0 get /BoldAsterisk put - dup (J) 0 get /SolidAsterisk put - dup (h) 0 get /Hexagon put - dup (H) 0 get /BoldHexagon put - dup (G) 0 get /SolidHexagon put - dup (f) 0 get /Octogon put % 2008-04-18 hv - dup (F) 0 get /BoldOctogon put % 2008-04-18 hv - dup (g) 0 get /SolidOctogon put % 2008-04-18 hv - dup (a) 0 get /Add put - dup (A) 0 get /BoldAdd put % 65 - dup (x) 0 get /Mul put - dup (X) 0 get /BoldMul put - dup (m) 0 get /Oplus put - dup (M) 0 get /BOplus put - dup (e) 0 get /SolidOplus put - dup (n) 0 get /Otimes put - dup (N) 0 get /BOtimes put - dup (E) 0 get /SolidOtimes put - dup (i) 0 get /Bar put - dup (I) 0 get /BoldBar put - dup (l) 0 get /SolidDiamond put - dup (d) 0 get /Diamond put - (D) 0 get /BoldDiamond put -%%% -/CharProcs 47 dict def -CharProcs begin - /CirclePath {0 0 500 0 360 arc closepath} def - /Bullet {CirclePath fill} def - /Circle {CirclePath .9 .9 scale CirclePath eofill} def - /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def - /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def - /SolidTriangle {TrianglePath fill} def - /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def - /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def - /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def - /SolidSquare {SquarePath fill} def - /Square {SquarePath .89 .89 scale SquarePath eofill} def - /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def - /PentagonPath { - -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto - 0 574.7 lineto -546.6 177.6 lineto closepath - } def - /SolidPentagon {PentagonPath fill} def - /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def - /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def -%-------------- hv begin 2004/07/25 from: er 2003/03/24 - /HexagonPath { - 0 550 moveto -476 275 lineto -476 -275 lineto - 0 -550 lineto 476 -275 lineto 476 275 lineto closepath - } def - /SolidHexagon {HexagonPath fill} def - /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def - /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def -% 2008-04-18 hv - /OctogonPath { - 550 dup 22.5 tan mul dup neg dup add /xMove exch def - exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def - /SolidOctogon { OctogonPath fill } def - /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def - /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def -% - /AsteriskPath { - 20 0 moveto 10 250 180 500 0 500 curveto - -180 500 -10 250 -20 0 curveto closepath - } def - /Asterisk { - AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath - 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill - } def -% - /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def - /BoldAsteriskPath { - 50 30 cos 100 mul moveto Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp closepath - } def - /BoldAsterisk {BoldAsteriskPath fill} def - /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def - /CrossPath { - 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto - -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto - 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath - } def - /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto - -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto - 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath - } def - /Add {CrossPath fill} def - /Mul {45 rotate CrossPath fill} def - /BoldAdd {BoldCrossPath fill} def - /BoldMul {45 rotate BoldCrossPath fill} def - /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def - /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def - /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def - /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def - /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def - /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def - /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def - /Bar {BarPath fill} def - /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def - /BoldBar {BoldBarPath fill} def - /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def - /SolidDiamond {DiamondPath fill} def - /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def - /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def -%%% - /.notdef { } def -end -% -/BuildGlyph { - exch - begin -% Metrics 1 index get exec 0 - 0 0 -% BBoxes 3 index get exec - -1000 -1000 1000 1000 -% -571.5 -742.5 571.5 742.5 - setcachedevice - CharProcs begin load exec end - end -} def -% -/BuildChar { - 1 index /Encoding get exch get - 1 index /BuildGlyph get exec -} bind def -% -end -/PSTricksDotFont exch definefont pop -% -%% end - -%%EndProcSet -%%BeginProcSet: pst-node.pro 0 0 -% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ -%% -%% PostScript prologue for pst-node.tex. -%% Version 1.13, 2011/11/21. -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -/tx@NodeDict 400 dict def tx@NodeDict begin -tx@Dict begin % from main pstricks dict - /T /translate load def - /CP /currentpoint load def -end -/NewNode { % on stack: { x y } boolean N@name type InitXnode - gsave - NodeScale % a bugfix for xelatex, it's empty for dvips - /next exch def % { x y } boolean N@name type - dict dup % { x y } boolean N@name dict dict - 3 1 roll def % { x y } boolean dict N@name dict def - exch { dup 3 1 roll def } if % { x y } dict boolean - begin % { x y } dict begin - tx@Dict begin - STV CP T exec % set scaling - end - /NodeMtrx CM def % save CM - next % InitXNode - end - grestore -} def -% -/InitPnode { - /Y ED /X ED - /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -% -/InitCnode { - /r ED /Y ED /X ED - /NodePos { NodeSep r add dup Cos mul exch Sin mul } def -} def -% -/GetRnodePos { - Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse - Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse - dx Sin mul abs dy - Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse -} def -% -/InitRnode { - /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED - /NodePos { GetRnodePos } def -} def -% -/DiaNodePos { - w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup - Cos mul exch Sin mul -} def -% -/TriNodePos { - Sin s lt - { d NodeSep sub dup Cos mul Sin Div exch } - { w h mul w Sin mul h Cos abs mul add Div - NodeSep add dup Cos mul exch Sin mul - } ifelse -} def -% -/InitTriNode { - sub 2 div exch - 2 div exch - 2 copy T - 2 copy 4 index index /d ED - pop pop pop pop - -90 mul rotate - /NodeMtrx CM def - /X 0 def /Y 0 def - d sub abs neg /d ED - d add /h ED - 2 div h mul h d sub Div /w ED - /s d w Atan sin def - /NodePos { TriNodePos } def -} def -% -/OvalNodePos { - /ww w NodeSep add def - /hh h NodeSep add def - Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul -} def -% -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -% -/XYPos { - dup sin exch cos Do - /Cos ED /Sin ED /Dist ED - Cos 0 gt - { Dist Dist Sin mul Cos div } - { Cos 0 lt - { Dist neg Dist Sin mul Cos div neg } - { 0 Dist Sin mul } ifelse - } ifelse - Do -} def -% -/GetEdge { - dup 0 eq - { pop begin 1 0 NodeMtrx dtransform - CM idtransform - exch atan sub - dup - sin /Sin ED - cos /Cos ED - /NodeSep ED - NodePos NodeMtrx dtransform CM idtransform end } - { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse -} def -% -/AddOffset { - 1 index 0 eq - { pop pop } - { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse -} def -% -/GetEdgeA { - NodeSepA AngleA NodeA NodeSepTypeA GetEdge - OffsetA AngleA AddOffset - yA add /yA1 ED - xA add /xA1 ED -} def -% -/GetEdgeB { - NodeSepB AngleB NodeB NodeSepTypeB GetEdge - OffsetB AngleB AddOffset - yB add /yB1 ED - xB add /xB1 ED -} def -% -/GetArmA { - ArmTypeA 0 eq - { /xA2 ArmA AngleA cos mul xA1 add def - /yA2 ArmA AngleA sin mul yA1 add def } - { ArmTypeA 1 eq {{exch}} {{}} ifelse - /Do ED - ArmA AngleA XYPos OffsetA AngleA AddOffset - yA add /yA2 ED - xA add /xA2 ED } ifelse -} def -% -/GetArmB { - ArmTypeB 0 eq - { /xB2 ArmB AngleB cos mul xB1 add def - /yB2 ArmB AngleB sin mul yB1 add def } - { ArmTypeB 1 eq {{exch}} {{}} ifelse - /Do ED - ArmB AngleB XYPos OffsetB AngleB AddOffset - yB add /yB2 ED - xB add /xB2 ED } ifelse -} def -% -/InitNC { - /b ED /a ED % second and first node - /NodeSepTypeB ED /NodeSepTypeA ED - /NodeSepB ED /NodeSepA ED - /OffsetB ED /OffsetA ED - tx@NodeDict a known tx@NodeDict b known and dup { - /NodeA a load def - /NodeB b load def - NodeA GetCenter /yA ED /xA ED - NodeB GetCenter /yB ED /xB ED } if -} def -% -/LPutLine { - 4 copy - 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED - 1 t sub mul - 3 1 roll 1 t sub mul - 4 1 roll t mul add /Y ED - t mul add /X ED -} def -% -/LPutLines { - mark LPutVar counttomark 2 div 1 sub /n ED -% t floor dup n gt - t floor dup n ge % to allow npos<= hv 2008-08-14 - { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse - cvi 2 mul { pop } repeat - LPutLine - cleartomark -} def -% -/BezierMidpoint { - /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED - /cx x1 x0 sub 3 mul def - /cy y1 y0 sub 3 mul def - /bx x2 x1 sub 3 mul cx sub def - /by y2 y1 sub 3 mul cy sub def - /ax x3 x0 sub cx sub bx sub def - /ay y3 y0 sub cy sub by sub def - ax t 3 exp mul bx t t mul mul add - cx t mul add x0 add ay t 3 exp mul - by t t mul mul add cy t mul add - y0 add 3 ay t t mul mul mul 2 - by t mul mul add cy add 3 ax t t mul mul mul - 2 bx t mul mul add cx add atan /NAngle ED - /Y ED /X ED -} def -% -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit -} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd -} def -/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def } def -/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def -GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { -LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { -LPutVar VPutLine } def LPutVar } def -% -/NCLine { - NCCoor - tx@Dict begin - ArrowA CP 4 2 roll - ArrowB - lineto pop pop - end -} def -% -/NCLines { - false NArray - n 0 eq - { NCLine } - { 2 copy yA sub exch xA sub Atan /AngleA ED - n 2 mul dup index exch index yB sub exch xB sub - Atan /AngleB ED - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def - mark LPutVar - tx@Dict begin false Line end - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def - } ifelse -} def -% -/NCCurve { - GetEdgeA - GetEdgeB - xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -% -/NCAngles { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform pop - xB2 yB2 mtrx transform exch pop - mtrx itransform - /y0 ED /x0 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def } def -% -/NCAngle { - GetEdgeA GetEdgeB GetArmB - /mtrx AngleA matrix rotate def - xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform - /y0 ED /x0 ED - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA1 yA1 - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCBar { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx itransform pop - xB2 yB2 mtrx itransform pop - sub dup 0 mtrx transform - 3 -1 roll 0 gt - { /yB2 exch yB2 add def /xB2 exch xB2 add def } - 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Fd(n)p -Fc(ma)m(rk)m(era)394 b Fb(x)2051 3594 y Fd(n)p Fc(ma)m(rk)m(erb)d -Fb(y)p 2001 3645 1007 7 v 0 TeXcolorgray 1856 5662 a -Fe(1)p 0 TeXcolorgray eop end -%%Trailer - -userdict /end-hook known{end-hook}if -%%EOF diff --git a/Master/texmf-dist/doc/latex/skak/informator.tex b/Master/texmf-dist/doc/latex/skak/informator.tex deleted file mode 100644 index 418387c475c..00000000000 --- a/Master/texmf-dist/doc/latex/skak/informator.tex +++ /dev/null @@ -1,83 +0,0 @@ -\documentclass[a4paper,twocolumn]{article} - -\usepackage{booktabs} -\pagestyle{empty} - - -\usepackage[ps]{skak} -\newcommand{\Cmd}[1]{\textsf{\textbf{\textbackslash#1}}} - -\title{Informator Symbols Available in the \texttt{skak} Package} -\author{Torben Hoffmann} -\begin{document} - -\maketitle - -Dirk B\"achle has been so kind as to create a number of the symbols -used in the Informator. They are now a part of the skak font. - -\begin{tabular}{lc} -\toprule -Command & \multicolumn{1}{l}{Output}\\ \midrule -\Cmd{wbetter} & \wbetter \\ -\Cmd{bbetter} & \bbetter \\ -\Cmd{wupperhand} & \wupperhand \\ -\Cmd{bupperhand} & \bupperhand \\ -\Cmd{wdecisive} & \wdecisive \\ -\Cmd{bdecisive} & \bdecisive \\ -\Cmd{equal} & \equal \\ -\Cmd{unclear} & \unclear \\ -\Cmd{compensation} & \compensation \\ -\Cmd{devadvantage} & \devadvantage \\ -\Cmd{moreroom} & \moreroom \\ -\Cmd{withattack} & \withattack \\ -\Cmd{withinit} & \withinit \\ -\Cmd{counterplay} & \counterplay \\ -\Cmd{zugzwang} & \zugzwang \\ -\Cmd{mate} & \mate \\ -\Cmd{withidea} & \withidea \\ -\Cmd{onlymove} & \onlymove \\ -\Cmd{betteris} & \betteris \\ -\Cmd{file} & \file \\ -\Cmd{diagonal} & \diagonal \\ -\Cmd{centre} & \centre \\ -\Cmd{kside} & \kside \\ -\Cmd{qside} & \qside \\ -\bottomrule -\end{tabular} - - -\begin{tabular}{lc} -\toprule -Command & \multicolumn{1}{l}{Output}\\ \midrule - -\Cmd{weakpt} & \weakpt \\ -\Cmd{ending} & \ending \\ - - -\Cmd{bishoppair} & \bishoppair \\ -\Cmd{opposbishops} & \opposbishops \\ -\Cmd{samebishops} & \samebishops \\ - -\Cmd{unitedpawns} & \unitedpawns \\ -\Cmd{seppawns} & \seppawns \\ -\Cmd{doublepawns} & \doublepawns \\ -\Cmd{passedpawn} & \passedpawn \\ -\Cmd{morepawns} & \morepawns \\ -\Cmd{timelimit} & \timelimit \\ -\Cmd{novelty} & \novelty \\ -\Cmd{comment} & \comment \\ -\Cmd{various} & \various \\ -\Cmd{without} & \without \\ -\Cmd{with} & \with \\ -\Cmd{etc} & \etc \\ -\Cmd{see} & see \\ - -\Cmd{markera} & \markera \\ -\Cmd{markerb} & \markerb \\ -\bottomrule -\end{tabular} - - - -\end{document} diff --git a/Master/texmf-dist/doc/latex/skak/makefile b/Master/texmf-dist/doc/latex/skak/makefile deleted file mode 100644 index cacef853585..00000000000 --- a/Master/texmf-dist/doc/latex/skak/makefile +++ /dev/null @@ -1,114 +0,0 @@ -# File: Makefile -# Purpose: automatic generation of fonts -# Author: Torben Hoffmann, based on work by Piet Tutelaers -# Version: July 1999 - -SHELL = /bin/sh -LATEX = latex - -# where should the .sty and .tfm files go? -TEXMFROOT=$(HOME)/Library/texmf -INPUTS=$(TEXMFROOT)/tex/latex/skak/ -DESTPK=$(TEXMFROOT)/fonts/pk/public/skak/ -DESTGF=$(TEXMFROOT)/fonts/gf/public/skak/ -DESTTFM=$(TEXMFROOT)/fonts/tfm/public/skak/ -DESTSOURCE=$(TEXMFROOT)/fonts/source/public/skak/ -DESTDOC=$(TEXMFROOT)/doc/latex/skak/ -MFSKAKBASE= mf/skakbrikker.mf mf/skakbase.mf mf/skakinf.mf -SKAKMACROS= skak10.600pk skak15.600pk skak20.600pk skak30.600pk skakf10.600pk skakf10b.600pk tex/skak.sty - -.SUFFIXES: .dvi .ps .600gf .600pk - -all: fonts doc - -doc: skakdoc.pdf tuggame.pdf refman.pdf informator.pdf - -fonts: skak10.600pk skak15.600pk skak20.600pk skak30.600pk skakf10.600pk skakf10b.600pk - -skakbase: skakbrikker.mf skakbase.mf skakf10.mf skakf10b.mf skakinf.mf - -skakbrikker.mf: mf/skakbrikker.mf - (cp mf/skakbrikker.mf .) - -skakbase.mf: mf/skakbase.mf - (cp mf/skakbase.mf .) - -skakf10.mf: mf/skakf10.mf - (cp mf/skakf10.mf .) - -skakf10b.mf: mf/skakf10b.mf - (cp mf/skakf10b.mf .) - -skakinf.mf: mf/skakinf.mf - (cp mf/skakinf.mf .) - - -skakdoc.dvi: doc/skakdoc.tex $(SKAKMACROS) - (cp tex/*.sty .; \ - ${LATEX} "\batchmode\input doc/skakdoc.tex" \ - ${LATEX} "\batchmode\input doc/skakdoc.tex") - -tuggame.dvi: doc/tuggame.tex $(SKAKMACROS) - (cp tex/*.sty .; \ - ${LATEX} "\batchmode\input doc/tuggame.tex" \ - ${LATEX} "\batchmode\input doc/tuggame.tex") - -refman.dvi: doc/refman.tex $(SKAKMACROS) - (cp tex/*.sty .; \ - ${LATEX} "\batchmode\input doc/refman.tex" \ - ${LATEX} "\batchmode\input doc/refman.tex") - -informator.dvi: doc/informator.tex $(SKAKMACROS) - (cp tex/*.sty .; \ - ${LATEX} "\batchmode\input doc/informator.tex" \ - ${LATEX} "\batchmode\input doc/informator.tex") - - -%.pdf: %.dvi - dvipdf $< - -.dvi.pdf : - dvipdf -o $@ $< - -.600gf.600pk: - gftopk $< - -skak10.tfm skak10.600gf: mf/skak10.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skak10") - -skak15.tfm skak15.600gf: mf/skak15.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skak15") - -skak20.tfm skak20.600gf: mf/skak20.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skak20") - -skak30.tfm skak30.600gf: mf/skak30.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skak30") - -skakf10.tfm skakf10.600gf: mf/skakf10.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skakf10") - -# bold versions of the figurine notation fonts -skakf10b.tfm skakf10b.600gf: mf/skakf10b.mf $(MFSKAKBASE) skakbase - (mf "\mode:=localfont; input mf/skakf10b") - -install: fonts doc - install -d ${DESTPK} - install -d ${DESTGF} - install -d ${DESTTFM} - install -d ${DESTSOURCE} - install -d ${INPUTS} - install -d ${DESTDOC} - install skak*.600pk $(DESTPK) - install skak*.600gf $(DESTGF) - install skak*.tfm $(DESTTFM) - install mf/skak*.mf $(DESTSOURCE) - install tex/skak.sty $(INPUTS) - install tex/lambda.sty $(INPUTS) - install *.ps $(DESTDOC) - @echo "Remember to run texhash!" -clean: - rm -f *gf *pk *.ps *.dvi *.aux *.log *.tfm *.mf *.fd *.sty *.toc - rm -f test/*.dvi test/*.log test/*.aux - 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ifelse - setdash stroke -} def -% -/DotLine { - /b PathLength def - /a ED /z ED /y CLW def - /z y z add def - a 0 gt { - /b b a div def - }{ - a 0 eq { - /b b y sub def - }{ a -3 eq { - /b b y add def } if - } ifelse - } ifelse - [ 0 b b z Div round Div dup 0 le { pop 1 } if ] - a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse - setdash 1 setlinecap stroke -} def -% -/SymbolLine { % on stack [ x y x y ... - counttomark % number of elements - 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - - %% for negative SymStep we calculate the distance - SymStep 0 lt - { %XYLength SymStep div abs cvi - /nSym SymStep abs cvi def } - { /nSym XYLength SymStep div cvi def } - ifelse - 0.5 setflat - /Shift Symbol stringwidth pop 2 div def - /deltaX XLength nSym div def - /deltaY YLength nSym div def - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - nSym { - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - currentpoint translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - deltaX deltaY rmoveto - } repeat - /YA YB def /XA XB def - } repeat - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - XA YA translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - pop % delete the mark symbol -} def -% -/LineFill { % hv ------------ patch 7 ------------- - gsave - abs /hatchWidthInc ED - abs /hatchSepInc ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - 2 setlinecap - systemdict - /setstrokeadjust known { true setstrokeadjust } if - x2 x1 sub 1 add { - x1 a mul y1 moveto 0 y2 rlineto stroke - /x1 x1 1 add - hatchWidthInc 0 gt { CLW add } if - def - hatchSepInc 0 gt hatchWidthInc 0 gt or { - /a a hatchSepInc add def - CLW hatchWidthInc add SLW - } if - } repeat - grestore - pop pop } def -% -/DotFill {% on stack: dot radius - /dotRadius ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform - pathbbox % llx lly urx ury of smallest bounding box - /y2 ED /x2 ED /y1 ED /x1 ED - y2 y1 sub a div 2 add cvi /Ny ED - x2 x1 sub a div 2 add cvi /Nx ED - clip - newpath - /yA y1 dotRadius add CLW add def - /xA0 x1 dotRadius add CLW add def - Ny { - /xA xA0 def - Nx { - newpath - xA yA dotRadius 0 360 arc - SolidDot { gsave fill grestore } if - stroke - xA a add /xA ED - } repeat - yA a add /yA ED - } repeat - grestore -} def -% -/PenroseFill {% on stack: scaling factor - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} - { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall - [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto - i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 - mul j l + S rmoveto}F i L j L stroke }F}F}F}F - grestore - pop pop -} def -% -/TruchetFill { % on stack: scaling factor - 10 dict begin - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /ma a neg def - /ha a 2 div def - /mha ha neg def - /tile { - rand dup 2 idiv 2 mul eq { 90 rotate } if - mha mha moveto ha mha lineto - ha ha lineto mha ha lineto -% closepath .1 setlinewidth stroke - contents - } def - /contents{ - 0 ha moveto ha 0 lineto - 0 mha moveto mha 0 lineto -% 1 setlinewidth stroke - } def - /dotiling { - f ma mul a f a mul { - /i exch def - f ma mul a f a mul { - /j exch def - gsave i j translate - tile stroke grestore - } for - } for - } def -% - /f 3 def - 5 srand dotiling - end % local user dict -} def -% -/BeginArrow { - ADict begin % hold it local, for end see EndArrow - /@mtrx CM def - gsave - 2 copy T - 2 index sub neg exch - 3 index sub exch Atan - rotate newpath -} def -% -/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict -% -/Arrow { - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /a ED - { 0 h T 1 -1 scale } if - w neg h moveto - 0 0 L w h L w neg a neg rlineto - gsave fill grestore -} def -% -/ArrowD { % the sides are drawn as curves (hv 20071211) - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction -% we use y=w/h^2 * x^2 as equation for the control points -% for the coordinates the arrow is seen from top to bottom -% the bottom (tip) is (0;0) - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > - w neg Inset neg rlineto % move to x=0 and inset - gsave fill grestore -} def -% -/Tbar { - CLW mul add /z ED - z -2 div CLW 2 div moveto - z 0 rlineto stroke - 0 CLW moveto -} def -% -/Bracket { - CLW mul add dup CLW sub 2 div - /x ED mul CLW add /y ED /z CLW 2 div def - x neg y moveto - x neg CLW 2 div L x CLW 2 div L x y L stroke - 0 CLW moveto -} def -% -/RoundBracket { - CLW mul add dup 2 div - /x ED mul /y ED /mtrx CM def - 0 CLW 2 div T x y mul 0 ne { x y scale } if - 1 1 moveto - .85 .5 .35 0 0 0 curveto - -.35 0 -.85 .5 -1 1 curveto - mtrx setmatrix stroke 0 CLW moveto -} def -% -/SD { 0 360 arc fill } def -% -/EndDot { % DS is the dot size - { /z DS def } { /z 0 def } ifelse % outer or inner dimen - /b ED % the color definition - 0 z DS SD - b { 0 z DS CLW sub SD } if - 0 DS z add CLW 4 div sub - moveto -} def -% -/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { - /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto - load } if ] cvx newpath 3 1 roll T exec } def -% -/NArray { % holds the coordinates and on top of stack the showpoints boolean - /showpoints ED - counttomark 2 div dup cvi /n ED % n 2 div on stack - n eq not { exch pop } if % even numbers of points? delete one - ] aload /Points ED - showpoints not { Points aload pop } if -% { ] aload /Points ED } -% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol -} def -% -/Line { - NArray n 0 eq not - { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def - n { Lineto } repeat - CP 4 2 roll ArrowB L pop pop - } if -} def -% -/LineToYAxis { - /Ox ED % Save the x origin value - NArray % all x-y pairs on stack - n { 2 copy moveto % go to current point - Ox exch Lineto % line to y-axis - pop % delete old x-value - } repeat -} def -% -/LineToXAxis{ - /Oy ED % Save the y origin value - NArray % all x-y pairs on stack - n 0 eq not - { n 1 eq { 0 0 /n 2 def } if - ArrowA - /n n 2 sub def - CP 2 copy moveto pop Oy Lineto - n { 2 copy moveto pop Oy Lineto } repeat - CP - 4 2 roll - ArrowB - 2 copy moveto pop Oy - L - pop pop } if -} def -% -/Arcto { - /a [ 6 -2 roll ] cvx def - a r - /arcto load stopped { 5 } { 4 } ifelse { pop } repeat - a -} def -% -/CheckClosed { - dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq - and { pop pop /n n 1 sub def } if -} def -% -/Polygon { - NArray n 2 eq { 0 0 /n 3 def } if - n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - n 2 mul -2 roll - /y0 ED /x0 ED /y1 ED /x1 ED - x1 y1 - /x1 x0 x1 add 2 div def - /y1 y0 y1 add 2 div def - x1 y1 moveto - /n n 2 sub def - n { Lineto } repeat - x1 y1 x0 y0 6 4 roll Lineto - Lineto pop pop closepath } ifelse -} def -% -/SymbolPolygon { % on stack [ x y x y ... - counttomark % number of elements - 2 add /m ED - 2 copy m 2 roll % copy last two - m 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - /nSym XYLength SymStep Div cvi def - /Shift Symbol stringwidth pop 2 Div def - /deltaX XLength nSym Div def - /deltaY YLength nSym Div def - XA Shift sub YA Shift sub moveto - nSym { - gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - grestore - deltaX deltaY rmoveto - } repeat -% XB Shift sub YB Shift sub moveto Symbol show - /YA YB def /XA XB def - } repeat - pop % delete the mark symbol -} def -% -/Diamond { - /mtrx CM def - T rotate - /h ED - /w ED - dup 0 eq { pop } { CLW mul neg - /d ED - /a w h Atan def - /h d a sin Div h add def - /w d a cos Div w add def } ifelse - mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div - /ArrowA { moveto } def - /ArrowB { } def - false Line - closepath mtrx setmatrix } def -% -/Triangle { - /mtrx CM def - translate - rotate /h ED 2 div /w ED - dup CLW mul /d ED - /h h d w h Atan sin Div sub def - /w w d h w Atan 2 div dup cos exch sin Div mul sub def - mark - 0 d w neg d 0 h w d 0 d - /ArrowA { moveto } def - /ArrowB { } def - false - Line - closepath - mtrx -% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) -% setmatrix } def - setmatrix pop -} def -% DG/SR modification end -% -/CCA { - /y ED /x ED - 2 copy y sub /dy1 ED - x sub /dx1 ED - /l1 dx1 dy1 Pyth def -} def -% -/CC { - /l0 l1 def - /x1 x dx sub def - /y1 y dy sub def - /dx0 dx1 def - /dy0 dy1 def - CCA - /dx dx0 l1 c exp mul dx1 l0 c exp mul add def - /dy dy0 l1 c exp mul dy1 l0 c exp mul add def - /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def - /x2 x l0 dx mul m mul sub def - /y2 y l0 dy mul m mul sub def - /dx l1 dx mul m mul neg def - /dy l1 dy mul m mul neg def -} def -% -/IC { - /c c 1 add def - c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse - /a a 2 mul 3 div 45 cos b exp div def - CCA - /dx 0 def - /dy 0 def -} def -% -/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def -/NC { CC x1 y1 x2 y2 x y curveto } def -/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def -/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def -/NAC { x2 y2 x y curveto CC x1 y1 } def -/EAC { x2 y2 x y ArrowB curveto pop pop } def -% -/OpenCurve { - NArray n 3 lt - { n { pop pop } repeat } - { BOC /n n 3 sub def n { NC } repeat EOC } ifelse -} def -% -/CurvePath { - %% for negative SymStep we calculate the distance - SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if - 0.5 setflat - flattenpath /z 0 def /z0 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def - x1 Shift sub y1 Shift sub moveto - gsave - curveticks - { x1 y1 translate startAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { startAngle rotate Symbol show } - ifelse - grestore /z0 z def } - { /y ED /x ED PathLength@ z z0 sub SymStep ge { - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore /z0 z def } if - /yOld y def /xOld x def } - {} %% the lineto part - { /y y2 def /x x2 def PathLength@ - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - x Shift sub y Shift sub moveto - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - } - pathforall -% curveticks -% { gsave -% x y translate rotAngle rotate -% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto -% SymbolLinewidth setlinewidth stroke grestore -% } if - z -} def -% -/OpenSymbolCurve { - OpenCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/AltCurve { - { false NArray n 2 mul 2 roll - [ n 2 mul 3 sub 1 roll ] aload - /Points ED - n 2 mul -2 roll } - { false NArray } ifelse - n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse -} def -% -/AltOpenSymbolCurve { - AltCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedCurve { - NArray n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - 6 copy n 2 mul 6 add 6 roll - IC CC x y moveto n { NC } repeat - closepath pop pop - } ifelse -} def -% -/ClosedSymbolCurve { - ClosedCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def -/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def -/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def -% -/FontDot { - DS 2 mul dup - matrix scale matrix concatmatrix exch matrix - rotate matrix concatmatrix exch - findfont exch makefont setfont -} def -% -/Rect { - x1 y1 y2 add 2 div moveto - x1 y2 lineto - x2 y2 lineto - x2 y1 lineto - x1 y1 lineto - closepath -} def -% -/OvalFrame { - x1 x2 eq y1 y2 eq or - { pop pop x1 y1 moveto x2 y2 L } - { y1 y2 sub abs x1 x2 sub abs 2 copy gt - { exch pop } { pop } ifelse - 2 div exch { dup 3 1 roll mul exch } if - 2 copy lt { pop } { exch pop } ifelse - /b ED - x1 y1 y2 add 2 div moveto - x1 y2 x2 y2 b arcto - x2 y2 x2 y1 b arcto - x2 y1 x1 y1 b arcto - x1 y1 x1 y2 b arcto - 16 { pop } repeat - closepath - } ifelse -} def -% -/Frame { - CLW mul /a ED - 3 -1 roll - 2 copy gt { exch } if - a sub /y2 ED - a add /y1 ED - 2 copy gt { exch } if - a sub /x2 ED - a add /x1 ED - 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse -} def -% -/BezierNArray { - /f ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat - f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse -} def -% -/OpenBezier { - BezierNArray - n 1 eq - { pop pop } - { ArrowA n 4 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - 6 2 roll 4 2 roll ArrowB curveto } ifelse -} def -% -/OpenSymbolBezier { - OpenBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedBezier { - BezierNArray - n 1 eq - { pop pop } - { moveto n 1 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - closepath } ifelse -} def -% -/ClosedSymbolBezier { - /f ED % save showpoints value - 2 copy /yEnd ED /xEnd ED - counttomark -2 roll 2 copy /yStart ED /xStart ED - counttomark 2 roll - f - ClosedBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath - [ xEnd yEnd xStart yStart SymbolLine -} def -% -/BezierShowPoints { - gsave - Points aload length 2 div cvi /n ED - moveto - n 1 sub { lineto } repeat - CLW 2 div SLW [ 4 4 ] 0 setdash stroke - grestore -} def -% -/Parab { - /y0 ED /x0 ED /y1 ED /x1 ED - /dx x0 x1 sub 3 div def - /dy y0 y1 sub 3 div def - x0 dx sub y0 dy add x1 y1 ArrowA - x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def -} def -% -/Parab1 { % 1 end | 0 SP - /ySP ED /xSP ED /y1 ED /x1 ED - /dx xSP x1 sub 3 div def - /dy ySP y1 sub 3 div def - newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto - x1 ySP lineto closepath clip - currentpoint - newpath moveto - xSP dx sub ySP dy add x1 y1 ArrowA - xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def -} def -% -/Grid { - newpath - /a 4 string def - /b ED % psk@gridlabels in pt - /c ED % { \pst@usecolor\psgridlabelcolor } - /n ED % psk@griddots - cvi dup 1 lt { pop 1 } if - /s ED % \psk@subgriddiv - s div dup 0 eq { pop 1 } if - /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs - /dx ED dy div round dy mul % \pst@number\psxunit abs - /y0 ED dx div round dx mul - /x0 ED dy div round cvi - /y2 ED dx div round cvi - /x2 ED dy div round cvi - /y1 ED dx div round cvi - /x1 ED - /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def - /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def - b 0 gt { - /z1 b 4 div CLW 2 div add def -% /Helvetica findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if - systemdict /setstrokeadjust known - { true setstrokeadjust /t { } def } - { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add - exch itransform } bind def } ifelse - gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse - /i x1 def - /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def - /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def - x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - { i dx mul dup y0 moveto - b 0 gt - { gsave c i a cvs dup stringwidth pop - /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse - h 0 gt {b neg}{z1} ifelse - rmoveto show grestore } if - dup t f moveto - g t L stroke - /i i w add def - } repeat - grestore - gsave - n 0 gt - % DG/SR modification begin - Nov. 7, 1997 - Patch 1 - %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } - { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } - % DG/SR modification end - { 2 setlinecap } ifelse - /i y1 def - /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def - /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def - y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - { newpath i dy mul dup x0 exch moveto - b 0 gt { gsave c i a cvs dup stringwidth pop - /z2 ED - w 0 gt {z1 z2 add neg} {z1} ifelse - h 0 gt {z1} {b neg} ifelse - rmoveto show grestore } if - dup f exch t moveto - g exch t L stroke - /i i h add def - } repeat - grestore -} def -% -/ArcArrow { - /d ED /b ED /a ED - gsave - newpath 0 -1000 moveto clip - newpath - 0 1 0 0 b - grestore - c mul - /e ED - pop pop pop r a e d PtoC y add exch x add - exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c - mul neg d -} def -% -/Ellipse { - /rotAngle ED - /mtrx CM def - T - rotAngle rotate - scale 0 0 1 5 3 roll arc - mtrx setmatrix -} def -% -/ArcAdjust { %%%% Vincent Guirardel -% given a target length (targetLength) and an initial angle (angle0) [in the stack], -% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). -% This computes an angle t such that (x0,y0) is at distance -% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). -% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 -% contrary to TvZ's code. -% To achieve, this, one iterates the following process: start with some angle t, -% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. -% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. -% -% Another difference with TvZ's code is that we need d (=add/sub) to be defined. -% the value of d = add/sub is used to know on which side we have to move. -% It is only used in the initialisation of the angle before the iteration. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Input stack: 1: target length 2: initial angle -% variables used : rx, ry, d (=add/sub) -% - /targetLength ED /angle0 ED - /x0 rx angle0 cos mul def - /y0 ry angle0 sin mul def -% we are looking for an angle t such that (x0,y0) is at distance targetLength -% from the point M(t)=(rx*cos(t),ry*sin(t))) -%initialisation of angle (using 1st order approx = TvZ's code) - targetLength 57.2958 mul - angle0 sin rx mul dup mul - angle0 cos ry mul dup mul - add sqrt div -% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees -% (if the ellipse is very curved at the point where we draw the arrow, % -% the value can be much more than 360 degrees !) -% this should avoid going on the wrong side (more than 180 degrees) or go near -% a bad attractive point (at 180 degrees) - dup 90 ge { pop 90 } if - angle0 exch d % add or sub -% maximum number of times to iterate the iterative procedure: -% iterative procedure: takes an angle t on top of stack, computes a -% better angle (and put it on top of stack) - 30 { dup -% compute distance D between (x0,y0) and M(t) - dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt -% if D almost equals targetLength, we stop - dup targetLength sub abs 1e-5 le { pop exit } if -% stack now contains D t -% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: -% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) - exch dup cos rx mul x0 sub exch sin ry mul y0 sub -% stack contains: y(t)-y0, x(t)-x0, d - 2 index Div targetLength mul y0 add ry Div exch - 2 index Div targetLength mul x0 add rx Div -% stack contains x(t')/rx , y(t')/ry , d -% now compute t', and remove D from stack - atan exch pop - } repeat -% we don't look at what happened... in particular, if targetLength is greater -% than the diameter of the ellipse... -% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... -% after iteration, stack contains an angle t such that M(t) is the tail of the arrow -% to give back the result as a an angle relative to angle0 we could add the following line: -% angle0 sub 0 exch d -% -% begin bug fix 2006-01-11 -% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 -%(we don't want to make the ellipse turn more or less than it should)... -dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse -% end bug fix -} def -% -/EllipticArcArrow { - /d ED % is add or sub - /b ED % arrow procedure - /a1 ED % angle - gsave - newpath - 0 -1000 moveto - clip % Set clippath far from arrow. - newpath - 0 1 0 0 b % Draw arrow to determine length. - grestore -% Length of arrow is on top of stack. Next 3 numbers are junk. -% - a1 exch ArcAdjust % Angular position of base of arrow. - /a2 ED - pop pop pop - a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig - a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig - a1 cos rx mul xOrig add % - a1 sin ry mul yOrig add % -% Now arrow tip coor and base coor are on stack. - b pop pop pop pop % Draw arrow, and discard coordinates. - a2 CLW 8 div -% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse - ArcAdjust -% resets original value of d - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. -} def -%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% -% -/Rot { CP CP translate 3 -1 roll neg rotate NET } def -% -/RotBegin { - tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if - /TMatrix [ TMatrix CM ] cvx def - /a ED - a Rot /RAngle [ RAngle dup a add ] cvx def -} def -% -/RotEnd { - /TMatrix [ TMatrix setmatrix ] cvx def - /RAngle [ RAngle pop ] cvx def -} def -% -/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def -/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def -/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def -% -/Uput { - /a ED - add 2 div /h ED 2 - div /w ED - /s a sin def - /c a cos def - /b s abs c abs 2 copy gt dup - /q ED - { pop } { exch pop } ifelse def - /w1 c b div w mul def - /h1 s b div h mul def - q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse -} def -% -/UUput { - /z ED - abs /y ED - /x ED - q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse - { x x mul y y mul sub z z mul add sqrt z add } - { q { x s div } { x c div } ifelse abs - } ifelse - a PtoC - h1 add exch - w1 add exch -} def -% -/BeginOL { - dup (all) eq exch TheOL eq or - { IfVisible not { Visible /IfVisible true def } if } - { IfVisible { Invisible /IfVisible false def } if } ifelse -} def -% -/InitOL { - /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def - /Visible { CP OLUnit idtransform T moveto } def - /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def - /BOL { BeginOL } def - /IfVisible true def -} def -% -%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a -end -} def -% -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -end -%-----------------------------------------------------------------------------% -% -% END pstricks.pro - -%%EndProcSet -%%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ -%% -%% PostScript prologue for PSTricks algorithm parser -%% Version 0.04, 2011/10/21 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%%-----------------------------------------------------------------------------% -% -/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez -% -/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin -% -% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 -% -% 09/2011 DR factorial with ! added -% -% E->T|E+T -% T->FS|T*FS -% FS -> F | +FS | -FS -% F->P|F^SF|P! -% P->(E)|literal -% literal->number|var|var[E]|func(params) -% params->E|E,param -% number->TOBEFINISHED -% -%% E expression, T term, SF signed factor, F factor, P power -% -%% parser -% -%% str -% -%% C->E<condition_operators>E -%% STR index -> STR index+lenExpr -/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def -% -%% analyze Expression List (separator , or | ) -%% STR index -> STR index+lenExpr -%% /AnalyzeListOfE { -%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar -%% NextNonBlankChar dup 0 eq { pop exit } if -%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if -%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop -%% AnalyzeListOfEPostHook -%% } def -/AnalyzeListOfE { - /NotFirst false def - { NextNonBlankChar pop AnalyzeExpr - NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse - dup Strlen eq { exit } if NextNonBlankChar - dup 44 ne 1 index 124 ne and - { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } - if pop 1 add } loop - AnalyzeListOfEPostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% E->T|E+T -%% STR index -> STR index+lenExpr -/AnalyzeExpr { - AnalyzePreHook AnalyzeTerm IsEndingExpr - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% T->FS|T*FS -%% STR index -/AnalyzeTerm { - AnalyzePreHook AnalyzeSignedFactor IsEndingTerm - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FS -> F | +FS | -FS -%% STR index -/AnalyzeSignedFactor { - AnalyzePreHook 2 copy get dup IsUnaryOp - { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } - { pop AnalyzeFactor } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% F->P|F^P|P! -%% STR index -/AnalyzeFactor { - AnalyzePreHook AnalyzePower IsEndingFactor - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { dup 33 eq%% is there a ! DR 09/2011 - { pop 1 add NextNonBlankChar pop EvalFactorial } - { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } - ifelse - IsEndingFactor { pop exit } if } loop } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% P->(E)|literal -%% STR index -/AnalyzePower { - %% depending of first char either a number, or a literal - 2 copy get dup 40 eq%%an open par - { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } - { AnalyzeLiteral } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index STR[index] -> STR index -%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def -/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% recognize + or - -%% chr -> T/F -/IsUnaryOp { dup 43 eq exch 45 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadNumber { - exch dup 3 -1 roll dup 3 1 roll - %%read mantissa - { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop - dup 101 eq exch 69 eq or - %%% there is a "e" or "E" -> read exponant - { 1 add 2 copy get dup IsUnaryOp - { pop 1 add 2 copy get } if - { IsNumber not { exit } if 1 add 2 copy get } loop } - if - dup 4 1 roll - 3 -1 roll exch 1 index sub getinterval -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadCondOp { - NextNonBlankChar 1 index 4 1 roll - { IsCondOp not { exit } if 1 add 2 copy get } loop - 2 copy 5 -1 roll - exch 1 index sub getinterval 3 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can contain only : 0123456789. -%% chr -> T/F -/IsLiteral {% - dup 48 ge exch dup 57 le 3 -1 roll and exch - dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch - dup 97 ge exch 122 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? -%% STR index -> literal STR index' nextchr -/ReadLiteral { - exch dup 3 -1 roll dup 3 1 roll - %%read literal core - { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop - 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a clpar -%% STR index -> STR index STR[index] T/F -/IsEndingExpr {% - 2 copy dup Strlen eq - %% if end of str is reached -> end ! - { pop pop 0 true } - %% ending chr -> clpar, comma, |, <, >, =, !, - {get dup dup 41 eq - exch dup 124 eq - exch dup 93 eq - exch dup 44 eq - exch dup 30 eq - exch dup 60 ge exch 62 le and or or or or or} - ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a +- -%% STR index -> STR index STR[index] T/F -/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or */ -%% STR index -> STR index STR[index] T/F -/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or ^ -%% STR index -> STR index STR[index] T/F -/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index STR[index] -/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def -/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def -%%%%%%%%%%%%%%%%%%%%%%%% -%% DEBUG -/BRK {false} def -/BRKtrue {/BRK true def} def -/BRKStop {BRK {BRKtoto} if } def -/BRKEvalStop {BRK exch if } def -/BRKBRK2true {BRK {BRK2true} if } def -/BRK2 {false} def -/BRK2true {/BRK2 true def} def -/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def -end -% -%-------------------------------------------------------------------------------% -% -/tx@AlgToPs 12 dict def tx@AlgToPs begin -% -%% algExpr -> PSVector -/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def -/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def -/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def -/Strlen 0 def -/EvalListOfExpr {} def% -/EvalNumber {% - ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx - exch 1 add array astore def NextNonBlankChar pop } def -/EvalAddSub {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def -} def -/EvalMulDiv {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def -} def -/EvalPower {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - pop /exp cvx exch 1 add array astore def -} def -/EvalFactorial {% DR 09/2011 - /ExpressionVector ExpressionVector aload length - /fact cvx exch 1 add array astore def -} def -/EvalLiteral {% - ReadLiteral - dup 40 eq%%% there is an open par -> function call - { pop 2 index - dup (Sum) eq { EvalSum } - { dup (IfTE) eq { EvalCond } - { dup (Derive) eq { pop EvalDerive } - { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx - exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } - { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def - dup 91 eq%%% there is an open bracket -> vector element - { pop 1 add NextNonBlankChar pop AnalyzeExpr - /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } - { pop NextNonBlankChar pop } - ifelse} - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% the derive function : Derive(n,f(x)) -%% firstparindex lastparindex -> -/EvalDerive { - %% manage the function descripiton - 1 add ReadNumber 3 1 roll NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - 1 add NextNonBlankChar pop - 3 -1 roll cvi - dup 0 eq - { pop AnalyzeExpr 3 -1 roll pop 1 add } - { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll - { (x) tx@Derive begin Derive end } repeat - ExpressionVector exch /ExpressionVector [] def - AlgToPs aload length - /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def - l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add - 1 index length /Strlen exch def } ifelse -} def -/EvalSum {% - pop 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll - 5 -1 roll 4 add array astore def - %% keep ExpressionVector for later and create a new one for internal Sum computation - ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def - 1 add NextNonBlankChar pop AnalyzeExpr - %% add each term - /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def - /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add - array astore def 3 -1 roll pop 1 add -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -/EvalCond {% - pop 1 add AnalyzeCond NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - ExpressionVector 3 1 roll /ExpressionVector [] def - 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def - NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add AnalyzeExpr - NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if - ExpressionVector - /ExpressionVector 6 -1 roll aload length dup - 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def - 1 add 3 -1 roll pop -} def -%% CondOp STR index -/EvalCondOp {% - 3 -1 roll - dup (=) eq { /eq } {% - dup (<) eq { /lt } {% - dup (>) eq { /gt } {% - dup (>=) eq { /ge } {% - dup (<=) eq { /ge } {% - dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } - ifelse } ifelse } ifelse } ifelse } ifelse } ifelse - cvx exch pop - /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def -/EvalUnaryOp { - 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook {} bind def -/PreEvalHook {} bind def -/AnalyzeListOfEPostHook {} bind def -/AnalyzePostHook {} def -/RollOp { 3 1 roll } bind def -end %tx@CoreAnalyzerDict -% -%--------------------------------------------------------------------% -% -/tx@Derive 41 dict def tx@Derive begin -%%increase ^^ for each function added -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable -> PSVector -/Derive {% - 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end -} def -/Strlen 0 def -/InitParser { dup length /Strlen exch def 0 } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable index -> PSVector -/DeriveIndexed {% - 3 1 roll 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u,v)'=-(u',v') -/EvalListOfExpr {% - 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe - 2 copy 7 -1 roll dup length 4 1 roll putinterval add - 6 -2 roll pop pop - 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (-u)'=-(u') -/EvalUnaryOp { - 4 -2 roll 4 index (0) eq - { (0) StrConcat 7 -1 roll pop } - { 7 -1 roll 45 eq - { AddSub AddOpPar true } { false } ifelse - 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (number)'=0 -/EvalNumber { ReadNumber (0) 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u+v)'=u'+v' -/EvalAddSub {% - 7 index dup (0) eq - { pop true }%% du=0 nothing added - { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } - ifelse - 5 index dup (0) eq - { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 - { exch - { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added - { 5 -2 roll 7 index 43 eq%%something yet added - { AddAdd false } { AddSub AddOpPar true } ifelse } - ifelse 11 1 roll - 3 -1 roll StrConcat 10 -1 roll { AddClPar } if - 2 copy pop 0 6 2 roll GetIntervalNewStr } - ifelse - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)' or (u/v)' -/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)'=u'*v+u*v' -/EvalMul {% - 4 -2 roll 7 index dup (0) eq - { pop false }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if - true }%%du!=0 - ifelse - 5 1 roll 5 index (0) eq - { 5 -1 roll not { (0) StrConcat } if }%%dv=0 - { 5 -1 roll { AddAdd } if - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - }%%dv!=0 - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u/v)'=(u'*v-u*v')/v^2 -/EvalDiv {% - 4 -2 roll - 4 index (0) eq%%dv=0 -> u'/v - { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } - { 7 index dup (0) eq - { pop }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 - ifelse - AddSub - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - %}%%dv!=0 - 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar - AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str1 index str2 -> str1 index -/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def -/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) -/EvalPower {% - 4 -2 roll 7 index (0) eq - {%%if du=0 then (u^v)'=v'ln(u)u^v - 4 index (0) eq - { (0) StrConcat }%%if dv=0 then (u^v)'=0 - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if - 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if - AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse - } - {%%du!=0 - 4 index (0) eq - {%%if dv=0 then (u^v)'=vu'u^(v-1) - 5 index dup IsStrNumber - { dup (0) eq - { StrConcat } - { dup dup (1) eq exch (1.0) eq or - { StrConcat } - { StrConcat - 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 - { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 - (*\() StrConcat 8 index StrConcat (\)) StrConcat - 5 index dup dup (2) eq exch (2.0) eq or - { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } - { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)) StrConcat } ifelse - } - {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) - 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if - AddOpPar 5 index StrConcat (\)*\() StrConcat - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)+\() StrConcat - 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (\)*ln\() StrConcat - 8 index StrConcat AddClPar - } ifelse - } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for factorial ! only cst => null derivative -/EvalFactorial {% DR 09/2011 - 4 index (0) eq - { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } - { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str -> true/false -/IsStrNumber {% - true exch - { dup 48 lt exch dup 57 gt 3 -1 roll or - exch dup 46 ne%%. - exch dup 43 ne%%+ - exch 45 ne%%- - and and and { pop false } if } forall -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalLiteral {% - ReadLiteral dup 40 eq%%% there is an open par -> function call - { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } - { dup 91 eq%%% there is an open bracket -> vector element - { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } - { pop EvalVariable } - ifelse } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% first last parpos Expr[first:parpos-1] -> -/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (f(u))'=u'f'(u) -/EvalFunc { - 4 2 roll 4 index (1) ne - { AddOpPar 4 index StrConcat (\)*) StrConcat } if - (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Func derivative -> Eval<func> -/EvalFunc_sin {% - PreCommonFunc - { (cos\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_cos {% - PreCommonFunc - { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_tan {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_asin {% - PreCommonFunc - { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_acos {% - PreCommonFunc - { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_atg {% - PreCommonFunc - { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_ln {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_exp {% - PreCommonFunc - { (exp\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_EXP {% - PreCommonFunc - { (EXP\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_sqrt {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Fact {% - PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if - PostCommonFunc } def -/EvalFunc_sh {% - PreCommonFunc - { (ch\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ch {% - PreCommonFunc - { (sh\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_th {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argsh {% - PreCommonFunc - { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argch {% - PreCommonFunc - { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argth {% - PreCommonFunc - { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -/PreCommonFunc { - 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop - 4 2 roll 4 index (0) eq - { (0) StrConcat false } - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse -} def -/PostCommonFunc { - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -/EvalFunc_Derive {% - 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs - 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add - 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval - exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_Sum {% - 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop 3 -1 roll pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if - 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat - 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_IfTE {% - 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond - NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - 1 add NextNonBlankChar pop dup 5 1 roll - AnalyzeExpr NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add NextNonBlankChar pop - AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat - 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% advance in str until a comma is found (no error detection!) -%% str index -> str index' -/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for condition.... -/EvalCondOp { 3 -1 roll pop } bind def -/PutIntervalOneAdd {putinterval 1 add} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add close parenthesis in string at the given index -%% str index -> str index+1 -/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add 0 in string at the given index -%% str index -> str index+1 -/AddZero {2 copy (0) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddMul {2 copy (*) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddDiv {2 copy (/) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a plus sign in string at the given index -%% str index -> str index+1 -/AddAdd {2 copy (+) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a minus sign in string at the given index -%% str index -> str index+1 -/AddSub {2 copy (-) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a pipe sign in string at the given index -%% str index -> str index+1 -/AddPipe {2 copy (|) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook { dup 5 1 roll } bind def -/PreEvalHook {} def -/AnalyzePostHook { 7 -1 roll pop } bind def -/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def -/RollOp { 5 1 roll } bind def -end%%%tx@CoreAnalyzerDict -/tx@AddMathFunc 12 dict def tx@AddMathFunc begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% NEW FUNC -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) -%% x -> theta -/asin {% - dup abs 1 gt { EQDFasinrangeerror } if - dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad -} def -%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) -%% x -> theta -/acos {% - dup abs 1 gt { EQDFacosrangeerror } if - dup dup mul 1 exch sub sqrt exch atan DegtoRad -} def -%% function arctangent in radians -%% x -> theta -/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def -%% HYPERBOLIC FUNCTIONS -/sh { dup Ex exch neg Ex sub 2 div } def -/ch { dup Ex exch neg Ex add 2 div } def -/th { dup sh exch ch div } def -/Argsh { dup dup mul 1 add sqrt add ln } def -/Argch { dup dup mul 1 sub sqrt add ln } def -/Argth { dup 1 add exch 1 exch sub div ln 2 div } def -%% modified exponential funtion for 0 -%% x n -> x^n -/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def -%% modified exponential funtion for 0 -%% x -> e^x -/Ex { Euler exch exp } bind def -%% -%% factorial function -%% n -> n! -/Fact { 1 exch 2 exch 1 exch { mul } for } bind def -/fact { Fact } bind def -/! { Fact } bind def -end -% -% END pst-algparser.pro - -%%EndProcSet -%%BeginProcSet: pst-tools.pro 0 0 -% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ -% -%% PostScript tools prologue for pstricks.tex. -%% Version 0.02, 2012/01/01 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -/Pi2 1.57079632679489661925640 def -/factorial { % n on stack, returns n! - dup 0 eq { 1 }{ - dup 1 gt { dup 1 sub factorial mul } if } - ifelse } def -% -/MoverN { % m n on stack, returns the binomial coefficient m over n - 2 dict begin - /n exch def /m exch def - n 0 eq { 1 }{ - m n eq { 1 }{ - m factorial n factorial m n sub factorial mul div } ifelse } ifelse - end -} def -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% subroutines for complex numbers, given as an array [a b] -% which is a+bi = Real+i Imag -% -/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] - dup 0 get % [a1 b1] [a2 b2] a2 - 3 -1 roll % [a2 b2] a2 [a1 b1] - dup 0 get % [a2 b2] a2 [a1 b1] a1 - 3 -1 roll % [a2 b2] [a1 b1] a1 a2 - add % [a2 b2] [a1 b1] a1+a2 - 3 1 roll % a1+a2 [a2 b2] [a1 b1] - 1 get % a1+a2 [a2 b2] b1 - exch 1 get % a1+a2 b1 b2 - add 2 array astore -} def -% -/cxneg { % [a b] - dup 1 get % [a b] b - exch 0 get % b a - neg exch neg % -a -b - 2 array astore -} def -% -/cxsub { cxneg cxadd } def % same as negative addition -% -% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] -/cxmul { % [a1 b1] [a2 b2] - dup 0 get % [a1 b1] [a2 b2] a2 - exch 1 get % [a1 b1] a2 b2 - 3 -1 roll % a2 b2 [a1 b1] - dup 0 get % a2 b2 [a1 b1] a1 - exch 1 get % a2 b2 a1 b1 - dup % a2 b2 a1 b1 b1 - 5 -1 roll dup % b2 a1 b1 b1 a2 a2 - 3 1 roll mul % b2 a1 b1 a2 b1a2 - 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 - 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 - 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 - 4 -1 roll add % b1 a2 a1 b2 b3 - 4 2 roll mul % b1 b2 b3 a1a2 - 4 2 roll mul sub % b3 a3 - exch 2 array astore -} def -% -% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] -/cxsqr { % [a b] square root - dup 0 get exch 1 get % a b - dup dup mul % a b b^2 - 3 -1 roll % b b^2 a - dup dup mul % b b^2 a a^2 - 3 -1 roll sub % b a a2 - 3 1 roll mul 2 mul % a2 b2 - 2 array astore -} def -% -/cxsqrt { % [a b] -% dup cxnorm sqrt /r exch def -% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 - cxlog % log[a b] - 2 cxrdiv % log[a b]/2 - aload pop exch % b a - 2.781 exch exp % b exp(a) - exch cxconv exch % [Re +iIm] exp(a) - cxrmul % -} def -% -/cxarg { % [a b] - aload pop % a b - exch atan % arctan b/a - DegtoRad % arg(z)=atan(b/a) -} def -% -% log[a b] = [a^2-b^2 2ab] = [a2 b2] -/cxlog { % [a b] - dup % [a b][a b] - cxnorm % [a b] |z| - log % [a b] log|z| - exch % log|z|[a b] - cxarg % log|z| Theta - cxmake2 % [log|z| Theta] -} def -% -% square of magnitude of complex number -/cxnorm2 { % [a b] - dup 0 get exch 1 get % a b - dup mul % a b^2 - exch dup mul add % a^2+b^2 -} def -% -/cxnorm { % [a b] - cxnorm2 sqrt -} def -% -/cxconj { % conjugent complex - dup 0 get exch 1 get % a b - neg 2 array astore % [a -b] -} def -% -/cxre { 0 get } def % real value -/cxim { 1 get } def % imag value -% -% 1/[a b] = ([a -b]/(a^2+b^2) -/cxrecip { % [a b] - dup cxnorm2 exch % n2 [a b] - dup 0 get exch 1 get % n2 a b - 3 -1 roll % a b n2 - dup % a b n2 n2 - 4 -1 roll exch div % b n2 a/n2 - 3 1 roll div % a/n2 b/n2 - neg 2 array astore -} def -% -/cxmake1 { 0 2 array astore } def % make a complex number, real given -/cxmake2 { 2 array astore } def % dito, both given -% -/cxdiv { cxrecip cxmul } def -% -% multiplikation by a real number -/cxrmul { % [a b] r - exch aload pop % r a b - 3 -1 roll dup % a b r r - 3 1 roll mul % a r b*r - 3 1 roll mul % b*r a*r - exch 2 array astore % [a*r b*r] -} def -% -% division by a real number -/cxrdiv { % [a b] r - 1 exch div % [a b] 1/r - cxrmul -} def -% -% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian -/cxconv { % theta - RadtoDeg dup sin exch cos cxmake2 -} def - -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { % on stack must be an array [ ... ] -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a % return the sorted array -end -} def -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -%-----------------------------------------------------------------------------% -% END pst-tools.pro - -%%EndProcSet -%%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 2.02, 2009/06/16 -%% -%% For distribution, see pstricks.tex. -%% -%% Timothy Van Zandt <tvz@Princeton.EDU> -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%% Modified by Etienne Riga - Dec. 16, 1999 -%% Modified by Etienne Riga - 2005/01/01 (er) -%% to add /Diamond, /SolidDiamond and /BoldDiamond -%% Modified by Herbert Voss (hv) - 2008/04/17 -% -10 dict dup begin % hold local - /FontType 3 def - /FontMatrix [.001 0 0 .001 0 0] def -% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv - /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph - /Encoding 256 array def - 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef - Encoding % replace with given dot names - dup (b) 0 get /Bullet put % get the numerical position of b in ASCII -% % and save /Bullet at this place in Encoding - dup (c) 0 get /Circle put - dup (C) 0 get /BoldCircle put % 67 - dup (u) 0 get /SolidTriangle put - dup (t) 0 get /Triangle put - dup (T) 0 get /BoldTriangle put - dup (r) 0 get /SolidSquare put - dup (s) 0 get /Square put - dup (S) 0 get /BoldSquare put - dup (q) 0 get /SolidPentagon put - dup (p) 0 get /Pentagon put - dup (P) 0 get /BoldPentagon put -%%% - dup (k) 0 get /Asterisk put - dup (K) 0 get /BoldAsterisk put - dup (J) 0 get /SolidAsterisk put - dup (h) 0 get /Hexagon put - dup (H) 0 get /BoldHexagon put - dup (G) 0 get /SolidHexagon put - dup (f) 0 get /Octogon put % 2008-04-18 hv - dup (F) 0 get /BoldOctogon put % 2008-04-18 hv - dup (g) 0 get /SolidOctogon put % 2008-04-18 hv - dup (a) 0 get /Add put - dup (A) 0 get /BoldAdd put % 65 - dup (x) 0 get /Mul put - dup (X) 0 get /BoldMul put - dup (m) 0 get /Oplus put - dup (M) 0 get /BOplus put - dup (e) 0 get /SolidOplus put - dup (n) 0 get /Otimes put - dup (N) 0 get /BOtimes put - dup (E) 0 get /SolidOtimes put - dup (i) 0 get /Bar put - dup (I) 0 get /BoldBar put - dup (l) 0 get /SolidDiamond put - dup (d) 0 get /Diamond put - (D) 0 get /BoldDiamond put -%%% -/CharProcs 47 dict def -CharProcs begin - /CirclePath {0 0 500 0 360 arc closepath} def - /Bullet {CirclePath fill} def - /Circle {CirclePath .9 .9 scale CirclePath eofill} def - /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def - /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def - /SolidTriangle {TrianglePath fill} def - /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def - /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def - /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def - /SolidSquare {SquarePath fill} def - /Square {SquarePath .89 .89 scale SquarePath eofill} def - /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def - /PentagonPath { - -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto - 0 574.7 lineto -546.6 177.6 lineto closepath - } def - /SolidPentagon {PentagonPath fill} def - /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def - /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def -%-------------- hv begin 2004/07/25 from: er 2003/03/24 - /HexagonPath { - 0 550 moveto -476 275 lineto -476 -275 lineto - 0 -550 lineto 476 -275 lineto 476 275 lineto closepath - } def - /SolidHexagon {HexagonPath fill} def - /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def - /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def -% 2008-04-18 hv - /OctogonPath { - 550 dup 22.5 tan mul dup neg dup add /xMove exch def - exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def - /SolidOctogon { OctogonPath fill } def - /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def - /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def -% - /AsteriskPath { - 20 0 moveto 10 250 180 500 0 500 curveto - -180 500 -10 250 -20 0 curveto closepath - } def - /Asterisk { - AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath - 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill - } def -% - /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def - /BoldAsteriskPath { - 50 30 cos 100 mul moveto Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp closepath - } def - /BoldAsterisk {BoldAsteriskPath fill} def - /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def - /CrossPath { - 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto - -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto - 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath - } def - /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto - -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto - 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath - } def - /Add {CrossPath fill} def - /Mul {45 rotate CrossPath fill} def - /BoldAdd {BoldCrossPath fill} def - /BoldMul {45 rotate BoldCrossPath fill} def - /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def - /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def - /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def - /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def - /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def - /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def - /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def - /Bar {BarPath fill} def - /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def - /BoldBar {BoldBarPath fill} def - /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def - /SolidDiamond {DiamondPath fill} def - /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def - /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def -%%% - /.notdef { } def -end -% -/BuildGlyph { - exch - begin -% Metrics 1 index get exec 0 - 0 0 -% BBoxes 3 index get exec - -1000 -1000 1000 1000 -% -571.5 -742.5 571.5 742.5 - setcachedevice - CharProcs begin load exec end - end -} def -% -/BuildChar { - 1 index /Encoding get exch get - 1 index /BuildGlyph get exec -} bind def -% -end -/PSTricksDotFont exch definefont pop -% -%% end - -%%EndProcSet -%%BeginProcSet: pst-node.pro 0 0 -% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ -%% -%% PostScript prologue for pst-node.tex. -%% Version 1.13, 2011/11/21. -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -/tx@NodeDict 400 dict def tx@NodeDict begin -tx@Dict begin % from main pstricks dict - /T /translate load def - /CP /currentpoint load def -end -/NewNode { % on stack: { x y } boolean N@name type InitXnode - gsave - NodeScale % a bugfix for xelatex, it's empty for dvips - /next exch def % { x y } boolean N@name type - dict dup % { x y } boolean N@name dict dict - 3 1 roll def % { x y } boolean dict N@name dict def - exch { dup 3 1 roll def } if % { x y } dict boolean - begin % { x y } dict begin - tx@Dict begin - STV CP T exec % set scaling - end - /NodeMtrx CM def % save CM - next % InitXNode - end - grestore -} def -% -/InitPnode { - /Y ED /X ED - /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -% -/InitCnode { - /r ED /Y ED /X ED - /NodePos { NodeSep r add dup Cos mul exch Sin mul } def -} def -% -/GetRnodePos { - Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse - Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse - dx Sin mul abs dy - Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse -} def -% -/InitRnode { - /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED - /NodePos { GetRnodePos } def -} def -% -/DiaNodePos { - w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup - Cos mul exch Sin mul -} def -% -/TriNodePos { - Sin s lt - { d NodeSep sub dup Cos mul Sin Div exch } - { w h mul w Sin mul h Cos abs mul add Div - NodeSep add dup Cos mul exch Sin mul - } ifelse -} def -% -/InitTriNode { - sub 2 div exch - 2 div exch - 2 copy T - 2 copy 4 index index /d ED - pop pop pop pop - -90 mul rotate - /NodeMtrx CM def - /X 0 def /Y 0 def - d sub abs neg /d ED - d add /h ED - 2 div h mul h d sub Div /w ED - /s d w Atan sin def - /NodePos { TriNodePos } def -} def -% -/OvalNodePos { - /ww w NodeSep add def - /hh h NodeSep add def - Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul -} def -% -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -% -/XYPos { - dup sin exch cos Do - /Cos ED /Sin ED /Dist ED - Cos 0 gt - { Dist Dist Sin mul Cos div } - { Cos 0 lt - { Dist neg Dist Sin mul Cos div neg } - { 0 Dist Sin mul } ifelse - } ifelse - Do -} def -% -/GetEdge { - dup 0 eq - { pop begin 1 0 NodeMtrx dtransform - CM idtransform - exch atan sub - dup - sin /Sin ED - cos /Cos ED - /NodeSep ED - NodePos NodeMtrx dtransform CM idtransform end } - { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse -} def -% -/AddOffset { - 1 index 0 eq - { pop pop } - { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse -} def -% -/GetEdgeA { - NodeSepA AngleA NodeA NodeSepTypeA GetEdge - OffsetA AngleA AddOffset - yA add /yA1 ED - xA add /xA1 ED -} def -% -/GetEdgeB { - NodeSepB AngleB NodeB NodeSepTypeB GetEdge - OffsetB AngleB AddOffset - yB add /yB1 ED - xB add /xB1 ED -} def -% -/GetArmA { - ArmTypeA 0 eq - { /xA2 ArmA AngleA cos mul xA1 add def - /yA2 ArmA AngleA sin mul yA1 add def } - { ArmTypeA 1 eq {{exch}} {{}} ifelse - /Do ED - ArmA AngleA XYPos OffsetA AngleA AddOffset - yA add /yA2 ED - xA add /xA2 ED } ifelse -} def -% -/GetArmB { - ArmTypeB 0 eq - { /xB2 ArmB AngleB cos mul xB1 add def - /yB2 ArmB AngleB sin mul yB1 add def } - { ArmTypeB 1 eq {{exch}} {{}} ifelse - /Do ED - ArmB AngleB XYPos OffsetB AngleB AddOffset - yB add /yB2 ED - xB add /xB2 ED } ifelse -} def -% -/InitNC { - /b ED /a ED % second and first node - /NodeSepTypeB ED /NodeSepTypeA ED - /NodeSepB ED /NodeSepA ED - /OffsetB ED /OffsetA ED - tx@NodeDict a known tx@NodeDict b known and dup { - /NodeA a load def - /NodeB b load def - NodeA GetCenter /yA ED /xA ED - NodeB GetCenter /yB ED /xB ED } if -} def -% -/LPutLine { - 4 copy - 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED - 1 t sub mul - 3 1 roll 1 t sub mul - 4 1 roll t mul add /Y ED - t mul add /X ED -} def -% -/LPutLines { - mark LPutVar counttomark 2 div 1 sub /n ED -% t floor dup n gt - t floor dup n ge % to allow npos<= hv 2008-08-14 - { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse - cvi 2 mul { pop } repeat - LPutLine - cleartomark -} def -% -/BezierMidpoint { - /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED - /cx x1 x0 sub 3 mul def - /cy y1 y0 sub 3 mul def - /bx x2 x1 sub 3 mul cx sub def - /by y2 y1 sub 3 mul cy sub def - /ax x3 x0 sub cx sub bx sub def - /ay y3 y0 sub cy sub by sub def - ax t 3 exp mul bx t t mul mul add - cx t mul add x0 add ay t 3 exp mul - by t t mul mul add cy t mul add - y0 add 3 ay t t mul mul mul 2 - by t mul mul add cy add 3 ax t t mul mul mul - 2 bx t mul mul add cx add atan /NAngle ED - /Y ED /X ED -} def -% -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit -} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd -} def -/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def } def -/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def -GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { -LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { -LPutVar VPutLine } def LPutVar } def -% -/NCLine { - NCCoor - tx@Dict begin - ArrowA CP 4 2 roll - ArrowB - lineto pop pop - end -} def -% -/NCLines { - false NArray - n 0 eq - { NCLine } - { 2 copy yA sub exch xA sub Atan /AngleA ED - n 2 mul dup index exch index yB sub exch xB sub - Atan /AngleB ED - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def - mark LPutVar - tx@Dict begin false Line end - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def - } ifelse -} def -% -/NCCurve { - GetEdgeA - GetEdgeB - xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -% -/NCAngles { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform pop - xB2 yB2 mtrx transform exch pop - mtrx itransform - /y0 ED /x0 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def } def -% -/NCAngle { - GetEdgeA GetEdgeB GetArmB - /mtrx AngleA matrix rotate def - xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform - /y0 ED /x0 ED - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA1 yA1 - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCBar { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx itransform pop - xB2 yB2 mtrx itransform pop - sub dup 0 mtrx transform - 3 -1 roll 0 gt - { /yB2 exch yB2 add def /xB2 exch xB2 add def } - { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCDiag { - /lineAngle ED - GetEdgeA GetEdgeB GetArmA GetArmB mark - lineAngle abs 0 gt { - /xTemp xA2 10 add def - /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def - /dY1 yTemp yA2 sub def - /dX1 xTemp xA2 sub def - /dY2 yB2 yB1 sub def - /dX2 xB2 xB1 sub def - dX1 abs 0.01 lt { - /m2 dY2 dX2 div def - /xB2 xA2 def - /yB2 xA2 xB1 sub m2 mul yB1 add def - }{ - dX2 abs 0.01 lt { - /m1 dY1 dX1 div def - /xB2 xB1 def - /yB2 xB1 xA2 sub m1 mul yA2 add def - }{% - /m1 dY1 dX1 div def - /m2 dY2 dX2 div def - /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def - /yB2 xB2 xA2 sub m1 mul yA2 add def - } ifelse - } ifelse - } if - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetEdgeB GetArmA GetArmB mark -% ArmB 0 ne { xB1 yB1 } if -% xB2 yB2 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCDiagg { - /lineAngle ED - GetEdgeA GetArmA - lineAngle abs 0 gt - { lineAngle } - { yB yA2 sub xB xA2 sub Atan 180 add } ifelse - /AngleB ED - GetEdgeB mark - lineAngle abs 0 gt { - /dY2 yA2 yA1 sub def - /dX2 xA2 xA1 sub def - lineAngle abs 90 eq { - /m2 dY2 dX2 div def - /yA2 xB xA2 sub m2 mul yA2 add def - /xA2 xB def - }{ - /m1 lineAngle dup sin exch cos div def % tan alpha - dX2 abs 0.01 lt { - /yA2 xA1 xB sub m1 mul yB add def - /xA2 xA1 def - }{% - /m2 dY2 dX2 div def - /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def - /yA2 xA2 xB sub m1 mul yB add def - } ifelse - } ifelse - } if - xB1 yB1 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetArmA -% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED -% GetEdgeB -% mark -% xB1 yB1 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCLoop { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED - /xB3 xB2 yB2 mtrx transform pop def - xB3 yA3 mtrx itransform /yB3 ED /xB3 ED - xA3 yA3 mtrx itransform /yA3 ED /xA3 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -% DG/SR modification begin - May 9, 1997 - Patch 1 -%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r -%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -% -/NCCircle { - NodeSepA 0 NodeA 0 GetEdge pop - 2 div dup 2 exp r r mul sub abs sqrt - atan 2 mul /a ED - r AngleA 90 add PtoC yA add exch xA add - exch 2 copy - /LPutVar [ 4 2 roll r AngleA ] cvx def - /LPutPos { - LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC - 3 -1 roll add - /Y ED add /X ED /NAngle ED -% DG/SR modification end - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def - r AngleA 90 sub a add AngleA 270 add a sub - tx@Dict begin - /angleB ED /angleA ED /r ED - /c 57.2957 r Div def - /y ED /x ED -} def -% -/NCBox { - /d ED /h ED - /AngleB yB yA sub xB xA sub Atan def - /AngleA AngleB 180 add def - GetEdgeA GetEdgeB - /dx d AngleB sin mul def - /dy d AngleB cos mul neg def - /hx h AngleB sin mul neg def - /hy h AngleB cos mul def - /LPutVar [ - xA1 hx add yA1 hy add xB1 hx add yB1 hy add - xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def - /LPutPos { LPutLines } def - /HPutPos { xB yB xA yA LPutLine } def - /VPutPos { HPutPos } def - mark - LPutVar tx@Dict begin false Polygon end -} def -% -/NCArcBox { - /l ED neg /d ED /h ED /a ED - /AngleA yB yA sub xB xA sub Atan def - /AngleB AngleA 180 add def - /tA AngleA a sub 90 add def - /tB tA a 2 mul add def - /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def - /x0 xA r tA cos mul add def - /y0 yA r tA sin mul add def - /c 57.2958 r div def - /AngleA AngleA a sub 180 add def - /AngleB AngleB a add 180 add def - GetEdgeA GetEdgeB - /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def - /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def - l 0 eq { - x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn - }{ - x0 y0 translate - /tA AngleA l c mul add def - /tB AngleB l c mul sub def - 0 0 r h add tA tB arc r h add - AngleB PtoC r d add - AngleB PtoC 2 copy - 6 2 roll l arcto 4 { pop } repeat - r d add tB PtoC l arcto 4 { pop } repeat - 0 0 r d add tB tA arcn r d add - AngleA PtoC r h add - AngleA PtoC 2 copy 6 2 roll - l arcto 4 { pop } repeat - r h add tA PtoC l arcto 4 { pop } repeat - } ifelse - closepath - /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def - /LPutPos { - LPutVar /d ED /h ED - /AngleB ED /AngleA ED - /r ED /y0 ED /x0 ED - t 1 le { - r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC - }{t 2 lt { - /NAngle AngleB 180 add def r 2 t sub - h mul t 1 sub d mul add add AngleB PtoC - }{ - t 3 lt { - r d add AngleB 3 t sub mul AngleA 2 t sub - mul add dup 90 sub /NAngle ED PtoC - }{ - /NAngle AngleA 180 add def - r 4 t sub d mul t 3 sub h mul add add AngleA PtoC - 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-\fancyhead{} -\chead{\textbf{\texttt{skak} version 1.2 \textsf{Reference Manual}}} - - -\usepackage[ps]{skak} - -\newcommand{\Cmd}[1]{\textsf{\textbf{\textbackslash#1}}} -\newcommand{\Arg}[1]{\textsf{\textsl{#1}}} - -\newcommand{\Option}[2]{\textsf{\textbf{#1}}\ #2\smallskip} - -\newcommand{\ArgInDescription}[1]{\Arg{\{#1\}}} - -\newcommand{\command}[3]{\Cmd{#1}\Apply{\ArgInDescription}{\Listize[#2]}\newline#3\smallskip} - -\newcommand{\simpleCommand}[2]{\Cmd{#1}\newline#2\smallskip} - -\setlength{\parindent}{0pt} - -\newcommand{\myheading}[1]{{\large{\textsf{\textbf{#1}}}}\bigskip} - -\begin{document} -%\tracingmacros=0 - -%\twocolumn - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Updating the board} -%\myheading{Updating the board} - -% These commands are used to update the position on the -% board. \Cmd{mainline} is the heart of the \texttt{skak} package. - - - -\simpleCommand{newgame} -{Initialises the board to the opening position.} - -\command{mainline}{SAN moves} -{Updates the board with the \Arg{SAN moves} and -typesets \Arg{SAN moves} according to the current \Cmd{mainlinestyle}.} - -\command{hidemoves}{SAN moves} -{Updates the board with the \Arg{SAN moves} but does - \emph{not} typeset the moves --- this is useful for commenting a - game where you want to focus on a certain position after - some moves have already been made.} - -\def\tmpCmd#1{\Arg{\textless row#1\textgreater/}} -\command{fenboard}{FEN position} -{Initialises the board to the position described with \Arg{FEN - position}. The format of a FEN position is:\newline - \Arg{\textless board rows\textgreater} \Arg{w\textbar - b} \Arg{\textless castling options\textgreater} \Arg{\textless en - passant square\textgreater}\newline \Arg{\textless 50 moves - counter\textgreater} \Arg{\textless move number\textgreater}\newline -The FEN for the opening position is\newline -\Arg{rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR}\newline -\Arg{w KQkq - 0 1}\newline -Note: the 50 moves counter is not used by the \texttt{skak} game -engine, but it is updated to stay in sync with external programs.} - -% \simpleCommand{boardasfen} -% {Returns the current position in the FEN notation.} - -%\newpage - - - -%\newpage -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Describing moves} -\bigskip - - -% Apart from showing the moves that update the board it is also -% possible to describe moves in the running text. - -\command{variation}{SAN moves} -{This will typeset \Arg{SAN moves} using the current \Cmd{variationstyle}. This command undoes the last move so you have to start one ply back.} - -\command{variationcurrentt}{SAN moves} -{Like \Cmd{variation}, but does not undo the last move.} - -\command{continuevariation}{SAN moves} -{Continues the variation but undoes the last move first.} - -\command{continuevariationcurrent}{SAN moves} -{Continues the variation without undoing the last move first.} - -\command{wmove}{SAN move} -{Typesets \Arg{SAN move} using the current \Cmd{variationstyle}. -Example: \texttt{\textbackslash wmove\{Nf3\}} gives \wmove{Nf3}.} - -\command{bmove}{SAN move} -{Typesets \Arg{SAN move} using the current \Cmd{variationstyle} but - with \ldots (or something similar according to the style) in front - of the move --- can be used to describe a single black move. Example: - \texttt{\textbackslash bmove\{Nxd4\}} gives \bmove{Nxd4}} - -\command{movecomment}{Chess moves} -{Typesets the \Arg{Chess moves} using the current \Cmd{variationstyle}, -but doesn't check for move numbers like \Cmd{variation} does.} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Showing the board} - - - -\simpleCommand{showboard} -{Shows the current position from whites perspective.} - -\simpleCommand{showinverseboard} -{Shows the current position from blacks perspective.} - - - -\section{Style selection} - -\simpleCommand{styleA} -{Chooses the \Arg{styleA} for typesetting of moves.} - -\simpleCommand{styleB} -{Chooses the \Arg{styleB} for typesetting of moves. This is the - default style.} - -\simpleCommand{styleC} -{Chooses the \Arg{styleC} for typesetting of moves.} - - -%\newpage - - -\section{Size of the board} - - - -\simpleCommand{normalboard} -{The default size of the board typeset by the \Cmd{showboard} - commands.} - -\newcommand{\boardsize}[1]{ -\simpleCommand{#1board} -{The \Cmd{showboard} commands will be typeset in a #1 font.}} - -\boardsize{tiny} - -\boardsize{small} - -\boardsize{large} - -%\newpage -\section{Notation and mover} - -\simpleCommand{notationOn} -{The \Cmd{showboard} commands show rank and file names. This is the - default.} - -\simpleCommand{notationOff} -{The \Cmd{showboard} commands show only the board.} - -\simpleCommand{showmoverOn} -{The \Cmd{showboard} commands indicate --- with a small box --- which - player has to move. Note: this only works when the ps option is used.} - -\simpleCommand{showmoverOff} -{The dual of \Cmd{showmoverOn}.} - - - -\section{Selective showing of pieces} - -\simpleCommand{showall} -{Makes the \Cmd{showboard} commands show all pieces.} - -\simpleCommand{showonlywhite} -{The \Cmd{showboard} commands will only show the white pieces.} - -\simpleCommand{showonlyblack} -{The \Cmd{showboard} commands will only show the black pieces.} - -\simpleCommand{showonlypawns} -{The \Cmd{showboard} commands will only show the pawns.} - -\command{showonly}{piece names} -{The argument \Arg{piece names} is a comma separated list of names of - pieces to be shown using the \Cmd{showboard} commands. White pieces - are named \Arg{K,Q,R,B,N,P} and black's \Arg{k,q,r,b,n,p}. Note: called with no arguments all pieces are showed!} - -\command{showallbut}{piece names} -{The argument \Arg{piece names} is a comma separated list of names of - pieces which will \emph{not} be shown when using the \Cmd{showboard} - commands. Note: called with an empty list no pieces are shown!} - - -%\newpage -\section{Move arrows} - -\command{printarrow}{from,to} -{Draws an arrow on the last typeset - board from the square \Arg{from} to the square \Arg{to}.} - -\Cmd{highlight}\Arg{[ms]}\Arg{\{square list\}}\newline -The comma separated \Arg{square list} will by default be highlighted using a - thick frame on the last - typeset board. The optional marker symbol -\Arg{ms} can be one of X, x, O and o in - which case a cross or a circle is used to highlight the square. - -\command{printknightmove}{from,to} -{Draws a bent arrow from the square \Arg{from} to the square \Arg{to}.} - -%\newpage -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Customizations} - -\command{newskaklanguage}{language,piecenames} -{Defines a new \Arg{language} for the input of SAN - moves. \Arg{piecenames} are the uppercase letters used for the - pieces in the order King, Queen, Rook, Bishop, Knight, - Pawn. Example: -\mbox{\texttt{\textbackslash newskaklanguage\{danish\}\{KDTLSB\}}} -defines \Arg{danish} as a new input language.} - -\Cmd{skaklanguage}\Arg{[language]}\newline -Chooses \Arg{language} as new input language --- defaults to \Arg{english}. - -\smallskip - -\simpleCommand{mainlinestyle} -{Activates the typesetting style for the mainline --- this command can - be redefined if special requirements for the typesetting exists.} - -\simpleCommand{variationstyle} -{Similar to \Cmd{mainlinestyle} just for the typesetting of variations.} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Game storage} - - -\command{savegame}{file name} -{Writes the FEN string for the current position on the board to the - file \texttt{\textless file name\textgreater.fen}} - -\command{loadgame}{file name} {Load the position stored in the file - \texttt{\textless file name\textgreater.fen}} - -\command{storegame}{name} -{Stores the current game position using \Arg{name} as reference.} - -\command{restoregame}{name} -{Restores the game previously saved using \Cmd{storegame}.} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Package options} - -\Option{ps}{Includes the \texttt{ps-tricks} package in order to make - ornaments on the board. Required to make the following commands - work: \Cmd{showmoverOn}, \Cmd{printarrow}, \Cmd{highlight}, - \Cmd{printknightmove}.} - -\Option{psoff}{Does \emph{not} include the \texttt{ps-tricks} package.} - -\Option{mover}{Issues the \Cmd{showmoveOn} command.} - -\Option{moveroff}{Issues the \Cmd{showmoveOn} command.} - -\Option{notation}{Issues the \Cmd{notationOn} command.} - -\Option{english}{Makes english the preferred input language --- the - only defined language at the moment.} - -\Option{styleA}{Chooses \Cmd{styleA} style for the typesetting of - moves.} - -\Option{styleB}{Chooses \Cmd{styleB} style for the typesetting of - moves.} - -\Option{styleC}{Chooses \Cmd{styleC} style for the typesetting of - moves.} - -\newcommand{\sizeoption}[1]{\Option{#1}{The board is shown using the - #1 size font.}} - -\sizeoption{tiny} - -\sizeoption{small} - -\sizeoption{normal} - -\sizeoption{large} - -\bigskip - -The default options are \textsf{\textbf{notation, normal, psoff, - english, moveroff, styleB}}. - -\end{document} - - - - - - diff --git a/Master/texmf-dist/doc/latex/skak/_region_.tex b/Master/texmf-dist/doc/latex/skak/region.tex index 8cb7c0d4bae..8cb7c0d4bae 100644 --- a/Master/texmf-dist/doc/latex/skak/_region_.tex +++ b/Master/texmf-dist/doc/latex/skak/region.tex diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.pdf b/Master/texmf-dist/doc/latex/skak/skakdoc.pdf Binary files differnew file mode 100644 index 00000000000..3527f94658f --- /dev/null +++ b/Master/texmf-dist/doc/latex/skak/skakdoc.pdf diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.ps b/Master/texmf-dist/doc/latex/skak/skakdoc.ps deleted file mode 100644 index 970718088c3..00000000000 --- a/Master/texmf-dist/doc/latex/skak/skakdoc.ps +++ /dev/null @@ -1,13426 +0,0 @@ -%!PS-Adobe-2.0 -%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software -%%Title: skakdoc.dvi -%%CreationDate: Thu Jul 18 23:26:33 2013 -%%Pages: 13 -%%PageOrder: Ascend -%%BoundingBox: 0 0 596 842 -%%DocumentFonts: CMR17 CMR12 CMSS17 CMTT12 CMBX9 CMR9 CMR6 CMSS9 CMR10 -%%+ CMBX12 CMBX10 CMSSBX10 CMSS10 CMSY10 CMTT10 CMR7 SFRM1000 -%%+ SkakNew-Figurine-Bold CMSS8 SkakNew-DiagramT CMR5 SkakNew-Figurine -%%+ CMTI10 CMSY8 CMTT8 CMR8 CMITT10 CMBSY10 -%%DocumentPaperSizes: a4 -%%EndComments -%DVIPSWebPage: (www.radicaleye.com) -%DVIPSCommandLine: dvips -o skakdoc.ps skakdoc.dvi -%DVIPSParameters: dpi=600 -%DVIPSSource: TeX output 2013.07.18:2326 -%%BeginProcSet: tex.pro 0 0 -%! -/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S -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 -/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 -def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 -rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 -N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop -false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A -length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} -forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ -BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat -{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch -round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 -rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B -/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} -B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p --3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ -0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end - 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2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - 2 setlinecap - systemdict - /setstrokeadjust known { true setstrokeadjust } if - x2 x1 sub 1 add { - x1 a mul y1 moveto 0 y2 rlineto stroke - /x1 x1 1 add - hatchWidthInc 0 gt { CLW add } if - def - hatchSepInc 0 gt hatchWidthInc 0 gt or { - /a a hatchSepInc add def - CLW hatchWidthInc add SLW - } if - } repeat - grestore - pop pop } def -% -/DotFill {% on stack: dot radius - /dotRadius ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform - pathbbox % llx lly urx ury of smallest bounding box - /y2 ED /x2 ED /y1 ED /x1 ED - y2 y1 sub a div 2 add cvi /Ny ED - x2 x1 sub a div 2 add cvi /Nx ED - clip - newpath - /yA y1 dotRadius add CLW add def - /xA0 x1 dotRadius add CLW add def - Ny { - /xA xA0 def - Nx { - newpath - xA yA dotRadius 0 360 arc - SolidDot { gsave fill grestore } if - stroke - xA a add /xA ED - } repeat - yA a add /yA ED - } repeat - grestore -} def -% -/PenroseFill {% on stack: scaling factor - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} - { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall - [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto - i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 - mul j l + S rmoveto}F i L j L stroke }F}F}F}F - grestore - pop pop -} def -% -/TruchetFill { % on stack: scaling factor - 10 dict begin - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /ma a neg def - /ha a 2 div def - /mha ha neg def - /tile { - rand dup 2 idiv 2 mul eq { 90 rotate } if - mha mha moveto ha mha lineto - ha ha lineto mha ha lineto -% closepath .1 setlinewidth stroke - contents - } def - /contents{ - 0 ha moveto ha 0 lineto - 0 mha moveto mha 0 lineto -% 1 setlinewidth stroke - } def - /dotiling { - f ma mul a f a mul { - /i exch def - f ma mul a f a mul { - /j exch def - gsave i j translate - tile stroke grestore - } for - } for - } def -% - /f 3 def - 5 srand dotiling - end % local user dict -} def -% -/BeginArrow { - ADict begin % hold it local, for end see EndArrow - /@mtrx CM def - gsave - 2 copy T - 2 index sub neg exch - 3 index sub exch Atan - rotate newpath -} def -% -/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict -% -/Arrow { - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /a ED - { 0 h T 1 -1 scale } if - w neg h moveto - 0 0 L w h L w neg a neg rlineto - gsave fill grestore -} def -% -/ArrowD { % the sides are drawn as curves (hv 20071211) - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction -% we use y=w/h^2 * x^2 as equation for the control points -% for the coordinates the arrow is seen from top to bottom -% the bottom (tip) is (0;0) - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > - w neg Inset neg rlineto % move to x=0 and inset - gsave fill grestore -} def -% -/Tbar { - CLW mul add /z ED - z -2 div CLW 2 div moveto - z 0 rlineto stroke - 0 CLW moveto -} def -% -/Bracket { - CLW mul add dup CLW sub 2 div - /x ED mul CLW add /y ED /z CLW 2 div def - x neg y moveto - x neg CLW 2 div L x CLW 2 div L x y L stroke - 0 CLW moveto -} def -% -/RoundBracket { - CLW mul add dup 2 div - /x ED mul /y ED /mtrx CM def - 0 CLW 2 div T x y mul 0 ne { x y scale } if - 1 1 moveto - .85 .5 .35 0 0 0 curveto - -.35 0 -.85 .5 -1 1 curveto - mtrx setmatrix stroke 0 CLW moveto -} def -% -/SD { 0 360 arc fill } def -% -/EndDot { % DS is the dot size - { /z DS def } { /z 0 def } ifelse % outer or inner dimen - /b ED % the color definition - 0 z DS SD - b { 0 z DS CLW sub SD } if - 0 DS z add CLW 4 div sub - moveto -} def -% -/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { - /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto - load } if ] cvx newpath 3 1 roll T exec } def -% -/NArray { % holds the coordinates and on top of stack the showpoints boolean - /showpoints ED - counttomark 2 div dup cvi /n ED % n 2 div on stack - n eq not { exch pop } if % even numbers of points? delete one - ] aload /Points ED - showpoints not { Points aload pop } if -% { ] aload /Points ED } -% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol -} def -% -/Line { - NArray n 0 eq not - { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def - n { Lineto } repeat - CP 4 2 roll ArrowB L pop pop - } if -} def -% -/LineToYAxis { - /Ox ED % Save the x origin value - NArray % all x-y pairs on stack - n { 2 copy moveto % go to current point - Ox exch Lineto % line to y-axis - pop % delete old x-value - } repeat -} def -% -/LineToXAxis{ - /Oy ED % Save the y origin value - NArray % all x-y pairs on stack - n 0 eq not - { n 1 eq { 0 0 /n 2 def } if - ArrowA - /n n 2 sub def - CP 2 copy moveto pop Oy Lineto - n { 2 copy moveto pop Oy Lineto } repeat - CP - 4 2 roll - ArrowB - 2 copy moveto pop Oy - L - pop pop } if -} def -% -/Arcto { - /a [ 6 -2 roll ] cvx def - a r - /arcto load stopped { 5 } { 4 } ifelse { pop } repeat - a -} def -% -/CheckClosed { - dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq - and { pop pop /n n 1 sub def } if -} def -% -/Polygon { - NArray n 2 eq { 0 0 /n 3 def } if - n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - n 2 mul -2 roll - /y0 ED /x0 ED /y1 ED /x1 ED - x1 y1 - /x1 x0 x1 add 2 div def - /y1 y0 y1 add 2 div def - x1 y1 moveto - /n n 2 sub def - n { Lineto } repeat - x1 y1 x0 y0 6 4 roll Lineto - Lineto pop pop closepath } ifelse -} def -% -/SymbolPolygon { % on stack [ x y x y ... - counttomark % number of elements - 2 add /m ED - 2 copy m 2 roll % copy last two - m 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - /nSym XYLength SymStep Div cvi def - /Shift Symbol stringwidth pop 2 Div def - /deltaX XLength nSym Div def - /deltaY YLength nSym Div def - XA Shift sub YA Shift sub moveto - nSym { - gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - grestore - deltaX deltaY rmoveto - } repeat -% XB Shift sub YB Shift sub moveto Symbol show - /YA YB def /XA XB def - } repeat - pop % delete the mark symbol -} def -% -/Diamond { - /mtrx CM def - T rotate - /h ED - /w ED - dup 0 eq { pop } { CLW mul neg - /d ED - /a w h Atan def - /h d a sin Div h add def - /w d a cos Div w add def } ifelse - mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div - /ArrowA { moveto } def - /ArrowB { } def - false Line - closepath mtrx setmatrix } def -% -/Triangle { - /mtrx CM def - translate - rotate /h ED 2 div /w ED - dup CLW mul /d ED - /h h d w h Atan sin Div sub def - /w w d h w Atan 2 div dup cos exch sin Div mul sub def - mark - 0 d w neg d 0 h w d 0 d - /ArrowA { moveto } def - /ArrowB { } def - false - Line - closepath - mtrx -% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) -% setmatrix } def - setmatrix pop -} def -% DG/SR modification end -% -/CCA { - /y ED /x ED - 2 copy y sub /dy1 ED - x sub /dx1 ED - /l1 dx1 dy1 Pyth def -} def -% -/CC { - /l0 l1 def - /x1 x dx sub def - /y1 y dy sub def - /dx0 dx1 def - /dy0 dy1 def - CCA - /dx dx0 l1 c exp mul dx1 l0 c exp mul add def - /dy dy0 l1 c exp mul dy1 l0 c exp mul add def - /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def - /x2 x l0 dx mul m mul sub def - /y2 y l0 dy mul m mul sub def - /dx l1 dx mul m mul neg def - /dy l1 dy mul m mul neg def -} def -% -/IC { - /c c 1 add def - c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse - /a a 2 mul 3 div 45 cos b exp div def - CCA - /dx 0 def - /dy 0 def -} def -% -/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def -/NC { CC x1 y1 x2 y2 x y curveto } def -/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def -/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def -/NAC { x2 y2 x y curveto CC x1 y1 } def -/EAC { x2 y2 x y ArrowB curveto pop pop } def -% -/OpenCurve { - NArray n 3 lt - { n { pop pop } repeat } - { BOC /n n 3 sub def n { NC } repeat EOC } ifelse -} def -% -/CurvePath { - %% for negative SymStep we calculate the distance - SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if - 0.5 setflat - flattenpath /z 0 def /z0 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def - x1 Shift sub y1 Shift sub moveto - gsave - curveticks - { x1 y1 translate startAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { startAngle rotate Symbol show } - ifelse - grestore /z0 z def } - { /y ED /x ED PathLength@ z z0 sub SymStep ge { - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore /z0 z def } if - /yOld y def /xOld x def } - {} %% the lineto part - { /y y2 def /x x2 def PathLength@ - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - x Shift sub y Shift sub moveto - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - } - pathforall -% curveticks -% { gsave -% x y translate rotAngle rotate -% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto -% SymbolLinewidth setlinewidth stroke grestore -% } if - z -} def -% -/OpenSymbolCurve { - OpenCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/AltCurve { - { false NArray n 2 mul 2 roll - [ n 2 mul 3 sub 1 roll ] aload - /Points ED - n 2 mul -2 roll } - { false NArray } ifelse - n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse -} def -% -/AltOpenSymbolCurve { - AltCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedCurve { - NArray n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - 6 copy n 2 mul 6 add 6 roll - IC CC x y moveto n { NC } repeat - closepath pop pop - } ifelse -} def -% -/ClosedSymbolCurve { - ClosedCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def -/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def -/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def -% -/FontDot { - DS 2 mul dup - matrix scale matrix concatmatrix exch matrix - rotate matrix concatmatrix exch - findfont exch makefont setfont -} def -% -/Rect { - x1 y1 y2 add 2 div moveto - x1 y2 lineto - x2 y2 lineto - x2 y1 lineto - x1 y1 lineto - closepath -} def -% -/OvalFrame { - x1 x2 eq y1 y2 eq or - { pop pop x1 y1 moveto x2 y2 L } - { y1 y2 sub abs x1 x2 sub abs 2 copy gt - { exch pop } { pop } ifelse - 2 div exch { dup 3 1 roll mul exch } if - 2 copy lt { pop } { exch pop } ifelse - /b ED - x1 y1 y2 add 2 div moveto - x1 y2 x2 y2 b arcto - x2 y2 x2 y1 b arcto - x2 y1 x1 y1 b arcto - x1 y1 x1 y2 b arcto - 16 { pop } repeat - closepath - } ifelse -} def -% -/Frame { - CLW mul /a ED - 3 -1 roll - 2 copy gt { exch } if - a sub /y2 ED - a add /y1 ED - 2 copy gt { exch } if - a sub /x2 ED - a add /x1 ED - 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse -} def -% -/BezierNArray { - /f ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat - f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse -} def -% -/OpenBezier { - BezierNArray - n 1 eq - { pop pop } - { ArrowA n 4 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - 6 2 roll 4 2 roll ArrowB curveto } ifelse -} def -% -/OpenSymbolBezier { - OpenBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedBezier { - BezierNArray - n 1 eq - { pop pop } - { moveto n 1 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - closepath } ifelse -} def -% -/ClosedSymbolBezier { - /f ED % save showpoints value - 2 copy /yEnd ED /xEnd ED - counttomark -2 roll 2 copy /yStart ED /xStart ED - counttomark 2 roll - f - ClosedBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath - [ xEnd yEnd xStart yStart SymbolLine -} def -% -/BezierShowPoints { - gsave - Points aload length 2 div cvi /n ED - moveto - n 1 sub { lineto } repeat - CLW 2 div SLW [ 4 4 ] 0 setdash stroke - grestore -} def -% -/Parab { - /y0 ED /x0 ED /y1 ED /x1 ED - /dx x0 x1 sub 3 div def - /dy y0 y1 sub 3 div def - x0 dx sub y0 dy add x1 y1 ArrowA - x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def -} def -% -/Parab1 { % 1 end | 0 SP - /ySP ED /xSP ED /y1 ED /x1 ED - /dx xSP x1 sub 3 div def - /dy ySP y1 sub 3 div def - newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto - x1 ySP lineto closepath clip - currentpoint - newpath moveto - xSP dx sub ySP dy add x1 y1 ArrowA - xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def -} def -% -/Grid { - newpath - /a 4 string def - /b ED % psk@gridlabels in pt - /c ED % { \pst@usecolor\psgridlabelcolor } - /n ED % psk@griddots - cvi dup 1 lt { pop 1 } if - /s ED % \psk@subgriddiv - s div dup 0 eq { pop 1 } if - /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs - /dx ED dy div round dy mul % \pst@number\psxunit abs - /y0 ED dx div round dx mul - /x0 ED dy div round cvi - /y2 ED dx div round cvi - /x2 ED dy div round cvi - /y1 ED dx div round cvi - /x1 ED - /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def - /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def - b 0 gt { - /z1 b 4 div CLW 2 div add def -% /Helvetica findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if - systemdict /setstrokeadjust known - { true setstrokeadjust /t { } def } - { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add - exch itransform } bind def } ifelse - gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse - /i x1 def - /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def - /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def - x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - { i dx mul dup y0 moveto - b 0 gt - { gsave c i a cvs dup stringwidth pop - /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse - h 0 gt {b neg}{z1} ifelse - rmoveto show grestore } if - dup t f moveto - g t L stroke - /i i w add def - } repeat - grestore - gsave - n 0 gt - % DG/SR modification begin - Nov. 7, 1997 - Patch 1 - %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } - { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } - % DG/SR modification end - { 2 setlinecap } ifelse - /i y1 def - /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def - /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def - y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - { newpath i dy mul dup x0 exch moveto - b 0 gt { gsave c i a cvs dup stringwidth pop - /z2 ED - w 0 gt {z1 z2 add neg} {z1} ifelse - h 0 gt {z1} {b neg} ifelse - rmoveto show grestore } if - dup f exch t moveto - g exch t L stroke - /i i h add def - } repeat - grestore -} def -% -/ArcArrow { - /d ED /b ED /a ED - gsave - newpath 0 -1000 moveto clip - newpath - 0 1 0 0 b - grestore - c mul - /e ED - pop pop pop r a e d PtoC y add exch x add - exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c - mul neg d -} def -% -/Ellipse { - /rotAngle ED - /mtrx CM def - T - rotAngle rotate - scale 0 0 1 5 3 roll arc - mtrx setmatrix -} def -% -/ArcAdjust { %%%% Vincent Guirardel -% given a target length (targetLength) and an initial angle (angle0) [in the stack], -% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). -% This computes an angle t such that (x0,y0) is at distance -% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). -% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 -% contrary to TvZ's code. -% To achieve, this, one iterates the following process: start with some angle t, -% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. -% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. -% -% Another difference with TvZ's code is that we need d (=add/sub) to be defined. -% the value of d = add/sub is used to know on which side we have to move. -% It is only used in the initialisation of the angle before the iteration. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Input stack: 1: target length 2: initial angle -% variables used : rx, ry, d (=add/sub) -% - /targetLength ED /angle0 ED - /x0 rx angle0 cos mul def - /y0 ry angle0 sin mul def -% we are looking for an angle t such that (x0,y0) is at distance targetLength -% from the point M(t)=(rx*cos(t),ry*sin(t))) -%initialisation of angle (using 1st order approx = TvZ's code) - targetLength 57.2958 mul - angle0 sin rx mul dup mul - angle0 cos ry mul dup mul - add sqrt div -% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees -% (if the ellipse is very curved at the point where we draw the arrow, % -% the value can be much more than 360 degrees !) -% this should avoid going on the wrong side (more than 180 degrees) or go near -% a bad attractive point (at 180 degrees) - dup 90 ge { pop 90 } if - angle0 exch d % add or sub -% maximum number of times to iterate the iterative procedure: -% iterative procedure: takes an angle t on top of stack, computes a -% better angle (and put it on top of stack) - 30 { dup -% compute distance D between (x0,y0) and M(t) - dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt -% if D almost equals targetLength, we stop - dup targetLength sub abs 1e-5 le { pop exit } if -% stack now contains D t -% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: -% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) - exch dup cos rx mul x0 sub exch sin ry mul y0 sub -% stack contains: y(t)-y0, x(t)-x0, d - 2 index Div targetLength mul y0 add ry Div exch - 2 index Div targetLength mul x0 add rx Div -% stack contains x(t')/rx , y(t')/ry , d -% now compute t', and remove D from stack - atan exch pop - } repeat -% we don't look at what happened... in particular, if targetLength is greater -% than the diameter of the ellipse... -% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... -% after iteration, stack contains an angle t such that M(t) is the tail of the arrow -% to give back the result as a an angle relative to angle0 we could add the following line: -% angle0 sub 0 exch d -% -% begin bug fix 2006-01-11 -% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 -%(we don't want to make the ellipse turn more or less than it should)... -dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse -% end bug fix -} def -% -/EllipticArcArrow { - /d ED % is add or sub - /b ED % arrow procedure - /a1 ED % angle - gsave - newpath - 0 -1000 moveto - clip % Set clippath far from arrow. - newpath - 0 1 0 0 b % Draw arrow to determine length. - grestore -% Length of arrow is on top of stack. Next 3 numbers are junk. -% - a1 exch ArcAdjust % Angular position of base of arrow. - /a2 ED - pop pop pop - a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig - a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig - a1 cos rx mul xOrig add % - a1 sin ry mul yOrig add % -% Now arrow tip coor and base coor are on stack. - b pop pop pop pop % Draw arrow, and discard coordinates. - a2 CLW 8 div -% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse - ArcAdjust -% resets original value of d - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. -} def -%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% -% -/Rot { CP CP translate 3 -1 roll neg rotate NET } def -% -/RotBegin { - tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if - /TMatrix [ TMatrix CM ] cvx def - /a ED - a Rot /RAngle [ RAngle dup a add ] cvx def -} def -% -/RotEnd { - /TMatrix [ TMatrix setmatrix ] cvx def - /RAngle [ RAngle pop ] cvx def -} def -% -/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def -/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def -/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def -% -/Uput { - /a ED - add 2 div /h ED 2 - div /w ED - /s a sin def - /c a cos def - /b s abs c abs 2 copy gt dup - /q ED - { pop } { exch pop } ifelse def - /w1 c b div w mul def - /h1 s b div h mul def - q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse -} def -% -/UUput { - /z ED - abs /y ED - /x ED - q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse - { x x mul y y mul sub z z mul add sqrt z add } - { q { x s div } { x c div } ifelse abs - } ifelse - a PtoC - h1 add exch - w1 add exch -} def -% -/BeginOL { - dup (all) eq exch TheOL eq or - { IfVisible not { Visible /IfVisible true def } if } - { IfVisible { Invisible /IfVisible false def } if } ifelse -} def -% -/InitOL { - /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def - /Visible { CP OLUnit idtransform T moveto } def - /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def - /BOL { BeginOL } def - /IfVisible true def -} def -% -%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a -end -} def -% -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -end -%-----------------------------------------------------------------------------% -% -% END pstricks.pro - -%%EndProcSet -%%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ -%% -%% PostScript prologue for PSTricks algorithm parser -%% Version 0.04, 2011/10/21 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%%-----------------------------------------------------------------------------% -% -/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez -% -/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin -% -% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 -% -% 09/2011 DR factorial with ! added -% -% E->T|E+T -% T->FS|T*FS -% FS -> F | +FS | -FS -% F->P|F^SF|P! -% P->(E)|literal -% literal->number|var|var[E]|func(params) -% params->E|E,param -% number->TOBEFINISHED -% -%% E expression, T term, SF signed factor, F factor, P power -% -%% parser -% -%% str -% -%% C->E<condition_operators>E -%% STR index -> STR index+lenExpr -/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def -% -%% analyze Expression List (separator , or | ) -%% STR index -> STR index+lenExpr -%% /AnalyzeListOfE { -%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar -%% NextNonBlankChar dup 0 eq { pop exit } if -%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if -%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop -%% AnalyzeListOfEPostHook -%% } def -/AnalyzeListOfE { - /NotFirst false def - { NextNonBlankChar pop AnalyzeExpr - NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse - dup Strlen eq { exit } if NextNonBlankChar - dup 44 ne 1 index 124 ne and - { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } - if pop 1 add } loop - AnalyzeListOfEPostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% E->T|E+T -%% STR index -> STR index+lenExpr -/AnalyzeExpr { - AnalyzePreHook AnalyzeTerm IsEndingExpr - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% T->FS|T*FS -%% STR index -/AnalyzeTerm { - AnalyzePreHook AnalyzeSignedFactor IsEndingTerm - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FS -> F | +FS | -FS -%% STR index -/AnalyzeSignedFactor { - AnalyzePreHook 2 copy get dup IsUnaryOp - { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } - { pop AnalyzeFactor } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% F->P|F^P|P! -%% STR index -/AnalyzeFactor { - AnalyzePreHook AnalyzePower IsEndingFactor - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { dup 33 eq%% is there a ! DR 09/2011 - { pop 1 add NextNonBlankChar pop EvalFactorial } - { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } - ifelse - IsEndingFactor { pop exit } if } loop } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% P->(E)|literal -%% STR index -/AnalyzePower { - %% depending of first char either a number, or a literal - 2 copy get dup 40 eq%%an open par - { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } - { AnalyzeLiteral } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index STR[index] -> STR index -%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def -/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% recognize + or - -%% chr -> T/F -/IsUnaryOp { dup 43 eq exch 45 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadNumber { - exch dup 3 -1 roll dup 3 1 roll - %%read mantissa - { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop - dup 101 eq exch 69 eq or - %%% there is a "e" or "E" -> read exponant - { 1 add 2 copy get dup IsUnaryOp - { pop 1 add 2 copy get } if - { IsNumber not { exit } if 1 add 2 copy get } loop } - if - dup 4 1 roll - 3 -1 roll exch 1 index sub getinterval -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadCondOp { - NextNonBlankChar 1 index 4 1 roll - { IsCondOp not { exit } if 1 add 2 copy get } loop - 2 copy 5 -1 roll - exch 1 index sub getinterval 3 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can contain only : 0123456789. -%% chr -> T/F -/IsLiteral {% - dup 48 ge exch dup 57 le 3 -1 roll and exch - dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch - dup 97 ge exch 122 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? -%% STR index -> literal STR index' nextchr -/ReadLiteral { - exch dup 3 -1 roll dup 3 1 roll - %%read literal core - { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop - 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a clpar -%% STR index -> STR index STR[index] T/F -/IsEndingExpr {% - 2 copy dup Strlen eq - %% if end of str is reached -> end ! - { pop pop 0 true } - %% ending chr -> clpar, comma, |, <, >, =, !, - {get dup dup 41 eq - exch dup 124 eq - exch dup 93 eq - exch dup 44 eq - exch dup 30 eq - exch dup 60 ge exch 62 le and or or or or or} - ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a +- -%% STR index -> STR index STR[index] T/F -/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or */ -%% STR index -> STR index STR[index] T/F -/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or ^ -%% STR index -> STR index STR[index] T/F -/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index STR[index] -/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def -/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def -%%%%%%%%%%%%%%%%%%%%%%%% -%% DEBUG -/BRK {false} def -/BRKtrue {/BRK true def} def -/BRKStop {BRK {BRKtoto} if } def -/BRKEvalStop {BRK exch if } def -/BRKBRK2true {BRK {BRK2true} if } def -/BRK2 {false} def -/BRK2true {/BRK2 true def} def -/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def -end -% -%-------------------------------------------------------------------------------% -% -/tx@AlgToPs 12 dict def tx@AlgToPs begin -% -%% algExpr -> PSVector -/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def -/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def -/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def -/Strlen 0 def -/EvalListOfExpr {} def% -/EvalNumber {% - ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx - exch 1 add array astore def NextNonBlankChar pop } def -/EvalAddSub {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def -} def -/EvalMulDiv {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def -} def -/EvalPower {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - pop /exp cvx exch 1 add array astore def -} def -/EvalFactorial {% DR 09/2011 - /ExpressionVector ExpressionVector aload length - /fact cvx exch 1 add array astore def -} def -/EvalLiteral {% - ReadLiteral - dup 40 eq%%% there is an open par -> function call - { pop 2 index - dup (Sum) eq { EvalSum } - { dup (IfTE) eq { EvalCond } - { dup (Derive) eq { pop EvalDerive } - { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx - exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } - { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def - dup 91 eq%%% there is an open bracket -> vector element - { pop 1 add NextNonBlankChar pop AnalyzeExpr - /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } - { pop NextNonBlankChar pop } - ifelse} - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% the derive function : Derive(n,f(x)) -%% firstparindex lastparindex -> -/EvalDerive { - %% manage the function descripiton - 1 add ReadNumber 3 1 roll NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - 1 add NextNonBlankChar pop - 3 -1 roll cvi - dup 0 eq - { pop AnalyzeExpr 3 -1 roll pop 1 add } - { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll - { (x) tx@Derive begin Derive end } repeat - ExpressionVector exch /ExpressionVector [] def - AlgToPs aload length - /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def - l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add - 1 index length /Strlen exch def } ifelse -} def -/EvalSum {% - pop 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll - 5 -1 roll 4 add array astore def - %% keep ExpressionVector for later and create a new one for internal Sum computation - ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def - 1 add NextNonBlankChar pop AnalyzeExpr - %% add each term - /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def - /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add - array astore def 3 -1 roll pop 1 add -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -/EvalCond {% - pop 1 add AnalyzeCond NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - ExpressionVector 3 1 roll /ExpressionVector [] def - 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def - NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add AnalyzeExpr - NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if - ExpressionVector - /ExpressionVector 6 -1 roll aload length dup - 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def - 1 add 3 -1 roll pop -} def -%% CondOp STR index -/EvalCondOp {% - 3 -1 roll - dup (=) eq { /eq } {% - dup (<) eq { /lt } {% - dup (>) eq { /gt } {% - dup (>=) eq { /ge } {% - dup (<=) eq { /ge } {% - dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } - ifelse } ifelse } ifelse } ifelse } ifelse } ifelse - cvx exch pop - /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def -/EvalUnaryOp { - 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook {} bind def -/PreEvalHook {} bind def -/AnalyzeListOfEPostHook {} bind def -/AnalyzePostHook {} def -/RollOp { 3 1 roll } bind def -end %tx@CoreAnalyzerDict -% -%--------------------------------------------------------------------% -% -/tx@Derive 41 dict def tx@Derive begin -%%increase ^^ for each function added -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable -> PSVector -/Derive {% - 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end -} def -/Strlen 0 def -/InitParser { dup length /Strlen exch def 0 } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable index -> PSVector -/DeriveIndexed {% - 3 1 roll 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u,v)'=-(u',v') -/EvalListOfExpr {% - 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe - 2 copy 7 -1 roll dup length 4 1 roll putinterval add - 6 -2 roll pop pop - 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (-u)'=-(u') -/EvalUnaryOp { - 4 -2 roll 4 index (0) eq - { (0) StrConcat 7 -1 roll pop } - { 7 -1 roll 45 eq - { AddSub AddOpPar true } { false } ifelse - 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (number)'=0 -/EvalNumber { ReadNumber (0) 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u+v)'=u'+v' -/EvalAddSub {% - 7 index dup (0) eq - { pop true }%% du=0 nothing added - { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } - ifelse - 5 index dup (0) eq - { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 - { exch - { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added - { 5 -2 roll 7 index 43 eq%%something yet added - { AddAdd false } { AddSub AddOpPar true } ifelse } - ifelse 11 1 roll - 3 -1 roll StrConcat 10 -1 roll { AddClPar } if - 2 copy pop 0 6 2 roll GetIntervalNewStr } - ifelse - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)' or (u/v)' -/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)'=u'*v+u*v' -/EvalMul {% - 4 -2 roll 7 index dup (0) eq - { pop false }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if - true }%%du!=0 - ifelse - 5 1 roll 5 index (0) eq - { 5 -1 roll not { (0) StrConcat } if }%%dv=0 - { 5 -1 roll { AddAdd } if - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - }%%dv!=0 - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u/v)'=(u'*v-u*v')/v^2 -/EvalDiv {% - 4 -2 roll - 4 index (0) eq%%dv=0 -> u'/v - { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } - { 7 index dup (0) eq - { pop }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 - ifelse - AddSub - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - %}%%dv!=0 - 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar - AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str1 index str2 -> str1 index -/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def -/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) -/EvalPower {% - 4 -2 roll 7 index (0) eq - {%%if du=0 then (u^v)'=v'ln(u)u^v - 4 index (0) eq - { (0) StrConcat }%%if dv=0 then (u^v)'=0 - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if - 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if - AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse - } - {%%du!=0 - 4 index (0) eq - {%%if dv=0 then (u^v)'=vu'u^(v-1) - 5 index dup IsStrNumber - { dup (0) eq - { StrConcat } - { dup dup (1) eq exch (1.0) eq or - { StrConcat } - { StrConcat - 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 - { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 - (*\() StrConcat 8 index StrConcat (\)) StrConcat - 5 index dup dup (2) eq exch (2.0) eq or - { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } - { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)) StrConcat } ifelse - } - {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) - 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if - AddOpPar 5 index StrConcat (\)*\() StrConcat - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)+\() StrConcat - 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (\)*ln\() StrConcat - 8 index StrConcat AddClPar - } ifelse - } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for factorial ! only cst => null derivative -/EvalFactorial {% DR 09/2011 - 4 index (0) eq - { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } - { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str -> true/false -/IsStrNumber {% - true exch - { dup 48 lt exch dup 57 gt 3 -1 roll or - exch dup 46 ne%%. - exch dup 43 ne%%+ - exch 45 ne%%- - and and and { pop false } if } forall -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalLiteral {% - ReadLiteral dup 40 eq%%% there is an open par -> function call - { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } - { dup 91 eq%%% there is an open bracket -> vector element - { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } - { pop EvalVariable } - ifelse } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% first last parpos Expr[first:parpos-1] -> -/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (f(u))'=u'f'(u) -/EvalFunc { - 4 2 roll 4 index (1) ne - { AddOpPar 4 index StrConcat (\)*) StrConcat } if - (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Func derivative -> Eval<func> -/EvalFunc_sin {% - PreCommonFunc - { (cos\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_cos {% - PreCommonFunc - { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_tan {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_asin {% - PreCommonFunc - { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_acos {% - PreCommonFunc - { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_atg {% - PreCommonFunc - { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_ln {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_exp {% - PreCommonFunc - { (exp\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_EXP {% - PreCommonFunc - { (EXP\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_sqrt {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Fact {% - PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if - PostCommonFunc } def -/EvalFunc_sh {% - PreCommonFunc - { (ch\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ch {% - PreCommonFunc - { (sh\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_th {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argsh {% - PreCommonFunc - { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argch {% - PreCommonFunc - { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argth {% - PreCommonFunc - { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -/PreCommonFunc { - 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop - 4 2 roll 4 index (0) eq - { (0) StrConcat false } - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse -} def -/PostCommonFunc { - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -/EvalFunc_Derive {% - 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs - 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add - 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval - exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_Sum {% - 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop 3 -1 roll pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if - 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat - 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_IfTE {% - 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond - NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - 1 add NextNonBlankChar pop dup 5 1 roll - AnalyzeExpr NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add NextNonBlankChar pop - AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat - 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% advance in str until a comma is found (no error detection!) -%% str index -> str index' -/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for condition.... -/EvalCondOp { 3 -1 roll pop } bind def -/PutIntervalOneAdd {putinterval 1 add} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add close parenthesis in string at the given index -%% str index -> str index+1 -/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add 0 in string at the given index -%% str index -> str index+1 -/AddZero {2 copy (0) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddMul {2 copy (*) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddDiv {2 copy (/) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a plus sign in string at the given index -%% str index -> str index+1 -/AddAdd {2 copy (+) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a minus sign in string at the given index -%% str index -> str index+1 -/AddSub {2 copy (-) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a pipe sign in string at the given index -%% str index -> str index+1 -/AddPipe {2 copy (|) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook { dup 5 1 roll } bind def -/PreEvalHook {} def -/AnalyzePostHook { 7 -1 roll pop } bind def -/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def -/RollOp { 5 1 roll } bind def -end%%%tx@CoreAnalyzerDict -/tx@AddMathFunc 12 dict def tx@AddMathFunc begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% NEW FUNC -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) -%% x -> theta -/asin {% - dup abs 1 gt { EQDFasinrangeerror } if - dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad -} def -%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) -%% x -> theta -/acos {% - dup abs 1 gt { EQDFacosrangeerror } if - dup dup mul 1 exch sub sqrt exch atan DegtoRad -} def -%% function arctangent in radians -%% x -> theta -/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def -%% HYPERBOLIC FUNCTIONS -/sh { dup Ex exch neg Ex sub 2 div } def -/ch { dup Ex exch neg Ex add 2 div } def -/th { dup sh exch ch div } def -/Argsh { dup dup mul 1 add sqrt add ln } def -/Argch { dup dup mul 1 sub sqrt add ln } def -/Argth { dup 1 add exch 1 exch sub div ln 2 div } def -%% modified exponential funtion for 0 -%% x n -> x^n -/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def -%% modified exponential funtion for 0 -%% x -> e^x -/Ex { Euler exch exp } bind def -%% -%% factorial function -%% n -> n! -/Fact { 1 exch 2 exch 1 exch { mul } for } bind def -/fact { Fact } bind def -/! { Fact } bind def -end -% -% END pst-algparser.pro - -%%EndProcSet -%%BeginProcSet: pst-tools.pro 0 0 -% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ -% -%% PostScript tools prologue for pstricks.tex. -%% Version 0.02, 2012/01/01 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -/Pi2 1.57079632679489661925640 def -/factorial { % n on stack, returns n! - dup 0 eq { 1 }{ - dup 1 gt { dup 1 sub factorial mul } if } - ifelse } def -% -/MoverN { % m n on stack, returns the binomial coefficient m over n - 2 dict begin - /n exch def /m exch def - n 0 eq { 1 }{ - m n eq { 1 }{ - m factorial n factorial m n sub factorial mul div } ifelse } ifelse - end -} def -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% subroutines for complex numbers, given as an array [a b] -% which is a+bi = Real+i Imag -% -/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] - dup 0 get % [a1 b1] [a2 b2] a2 - 3 -1 roll % [a2 b2] a2 [a1 b1] - dup 0 get % [a2 b2] a2 [a1 b1] a1 - 3 -1 roll % [a2 b2] [a1 b1] a1 a2 - add % [a2 b2] [a1 b1] a1+a2 - 3 1 roll % a1+a2 [a2 b2] [a1 b1] - 1 get % a1+a2 [a2 b2] b1 - exch 1 get % a1+a2 b1 b2 - add 2 array astore -} def -% -/cxneg { % [a b] - dup 1 get % [a b] b - exch 0 get % b a - neg exch neg % -a -b - 2 array astore -} def -% -/cxsub { cxneg cxadd } def % same as negative addition -% -% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] -/cxmul { % [a1 b1] [a2 b2] - dup 0 get % [a1 b1] [a2 b2] a2 - exch 1 get % [a1 b1] a2 b2 - 3 -1 roll % a2 b2 [a1 b1] - dup 0 get % a2 b2 [a1 b1] a1 - exch 1 get % a2 b2 a1 b1 - dup % a2 b2 a1 b1 b1 - 5 -1 roll dup % b2 a1 b1 b1 a2 a2 - 3 1 roll mul % b2 a1 b1 a2 b1a2 - 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 - 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 - 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 - 4 -1 roll add % b1 a2 a1 b2 b3 - 4 2 roll mul % b1 b2 b3 a1a2 - 4 2 roll mul sub % b3 a3 - exch 2 array astore -} def -% -% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] -/cxsqr { % [a b] square root - dup 0 get exch 1 get % a b - dup dup mul % a b b^2 - 3 -1 roll % b b^2 a - dup dup mul % b b^2 a a^2 - 3 -1 roll sub % b a a2 - 3 1 roll mul 2 mul % a2 b2 - 2 array astore -} def -% -/cxsqrt { % [a b] -% dup cxnorm sqrt /r exch def -% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 - cxlog % log[a b] - 2 cxrdiv % log[a b]/2 - aload pop exch % b a - 2.781 exch exp % b exp(a) - exch cxconv exch % [Re +iIm] exp(a) - cxrmul % -} def -% -/cxarg { % [a b] - aload pop % a b - exch atan % arctan b/a - DegtoRad % arg(z)=atan(b/a) -} def -% -% log[a b] = [a^2-b^2 2ab] = [a2 b2] -/cxlog { % [a b] - dup % [a b][a b] - cxnorm % [a b] |z| - log % [a b] log|z| - exch % log|z|[a b] - cxarg % log|z| Theta - cxmake2 % [log|z| Theta] -} def -% -% square of magnitude of complex number -/cxnorm2 { % [a b] - dup 0 get exch 1 get % a b - dup mul % a b^2 - exch dup mul add % a^2+b^2 -} def -% -/cxnorm { % [a b] - cxnorm2 sqrt -} def -% -/cxconj { % conjugent complex - dup 0 get exch 1 get % a b - neg 2 array astore % [a -b] -} def -% -/cxre { 0 get } def % real value -/cxim { 1 get } def % imag value -% -% 1/[a b] = ([a -b]/(a^2+b^2) -/cxrecip { % [a b] - dup cxnorm2 exch % n2 [a b] - dup 0 get exch 1 get % n2 a b - 3 -1 roll % a b n2 - dup % a b n2 n2 - 4 -1 roll exch div % b n2 a/n2 - 3 1 roll div % a/n2 b/n2 - neg 2 array astore -} def -% -/cxmake1 { 0 2 array astore } def % make a complex number, real given -/cxmake2 { 2 array astore } def % dito, both given -% -/cxdiv { cxrecip cxmul } def -% -% multiplikation by a real number -/cxrmul { % [a b] r - exch aload pop % r a b - 3 -1 roll dup % a b r r - 3 1 roll mul % a r b*r - 3 1 roll mul % b*r a*r - exch 2 array astore % [a*r b*r] -} def -% -% division by a real number -/cxrdiv { % [a b] r - 1 exch div % [a b] 1/r - cxrmul -} def -% -% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian -/cxconv { % theta - RadtoDeg dup sin exch cos cxmake2 -} def - -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { % on stack must be an array [ ... ] -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a % return the sorted array -end -} def -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -%-----------------------------------------------------------------------------% -% END pst-tools.pro - -%%EndProcSet -%%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 2.02, 2009/06/16 -%% -%% For distribution, see pstricks.tex. -%% -%% Timothy Van Zandt <tvz@Princeton.EDU> -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%% Modified by Etienne Riga - Dec. 16, 1999 -%% Modified by Etienne Riga - 2005/01/01 (er) -%% to add /Diamond, /SolidDiamond and /BoldDiamond -%% Modified by Herbert Voss (hv) - 2008/04/17 -% -10 dict dup begin % hold local - /FontType 3 def - /FontMatrix [.001 0 0 .001 0 0] def -% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv - /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph - /Encoding 256 array def - 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef - Encoding % replace with given dot names - dup (b) 0 get /Bullet put % get the numerical position of b in ASCII -% % and save /Bullet at this place in Encoding - dup (c) 0 get /Circle put - dup (C) 0 get /BoldCircle put % 67 - dup (u) 0 get /SolidTriangle put - dup (t) 0 get /Triangle put - dup (T) 0 get /BoldTriangle put - dup (r) 0 get /SolidSquare put - dup (s) 0 get /Square put - dup (S) 0 get /BoldSquare put - dup (q) 0 get /SolidPentagon put - dup (p) 0 get /Pentagon put - dup (P) 0 get /BoldPentagon put -%%% - dup (k) 0 get /Asterisk put - dup (K) 0 get /BoldAsterisk put - dup (J) 0 get /SolidAsterisk put - dup (h) 0 get /Hexagon put - dup (H) 0 get /BoldHexagon put - dup (G) 0 get /SolidHexagon put - dup (f) 0 get /Octogon put % 2008-04-18 hv - dup (F) 0 get /BoldOctogon put % 2008-04-18 hv - dup (g) 0 get /SolidOctogon put % 2008-04-18 hv - dup (a) 0 get /Add put - dup (A) 0 get /BoldAdd put % 65 - dup (x) 0 get /Mul put - dup (X) 0 get /BoldMul put - dup (m) 0 get /Oplus put - dup (M) 0 get /BOplus put - dup (e) 0 get /SolidOplus put - dup (n) 0 get /Otimes put - dup (N) 0 get /BOtimes put - dup (E) 0 get /SolidOtimes put - dup (i) 0 get /Bar put - dup (I) 0 get /BoldBar put - dup (l) 0 get /SolidDiamond put - dup (d) 0 get /Diamond put - (D) 0 get /BoldDiamond put -%%% -/CharProcs 47 dict def -CharProcs begin - /CirclePath {0 0 500 0 360 arc closepath} def - /Bullet {CirclePath fill} def - /Circle {CirclePath .9 .9 scale CirclePath eofill} def - /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def - /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def - /SolidTriangle {TrianglePath fill} def - /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def - /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def - /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def - /SolidSquare {SquarePath fill} def - /Square {SquarePath .89 .89 scale SquarePath eofill} def - /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def - /PentagonPath { - -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto - 0 574.7 lineto -546.6 177.6 lineto closepath - } def - /SolidPentagon {PentagonPath fill} def - /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def - /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def -%-------------- hv begin 2004/07/25 from: er 2003/03/24 - /HexagonPath { - 0 550 moveto -476 275 lineto -476 -275 lineto - 0 -550 lineto 476 -275 lineto 476 275 lineto closepath - } def - /SolidHexagon {HexagonPath fill} def - /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def - /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def -% 2008-04-18 hv - /OctogonPath { - 550 dup 22.5 tan mul dup neg dup add /xMove exch def - exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def - /SolidOctogon { OctogonPath fill } def - /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def - /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def -% - /AsteriskPath { - 20 0 moveto 10 250 180 500 0 500 curveto - -180 500 -10 250 -20 0 curveto closepath - } def - /Asterisk { - AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath - 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill - } def -% - /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def - /BoldAsteriskPath { - 50 30 cos 100 mul moveto Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp closepath - } def - /BoldAsterisk {BoldAsteriskPath fill} def - /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def - /CrossPath { - 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto - -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto - 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath - } def - /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto - -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto - 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath - } def - /Add {CrossPath fill} def - /Mul {45 rotate CrossPath fill} def - /BoldAdd {BoldCrossPath fill} def - /BoldMul {45 rotate BoldCrossPath fill} def - /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def - /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def - /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def - /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def - /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def - /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def - /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def - /Bar {BarPath fill} def - /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def - /BoldBar {BoldBarPath fill} def - /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def - /SolidDiamond {DiamondPath fill} def - /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def - /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def -%%% - /.notdef { } def -end -% -/BuildGlyph { - exch - begin -% Metrics 1 index get exec 0 - 0 0 -% BBoxes 3 index get exec - -1000 -1000 1000 1000 -% -571.5 -742.5 571.5 742.5 - setcachedevice - CharProcs begin load exec end - end -} def -% -/BuildChar { - 1 index /Encoding get exch get - 1 index /BuildGlyph get exec -} bind def -% -end -/PSTricksDotFont exch definefont pop -% -%% end - -%%EndProcSet -%%BeginProcSet: pst-node.pro 0 0 -% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ -%% -%% PostScript prologue for pst-node.tex. -%% Version 1.13, 2011/11/21. -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -/tx@NodeDict 400 dict def tx@NodeDict begin -tx@Dict begin % from main pstricks dict - /T /translate load def - /CP /currentpoint load def -end -/NewNode { % on stack: { x y } boolean N@name type InitXnode - gsave - NodeScale % a bugfix for xelatex, it's empty for dvips - /next exch def % { x y } boolean N@name type - dict dup % { x y } boolean N@name dict dict - 3 1 roll def % { x y } boolean dict N@name dict def - exch { dup 3 1 roll def } if % { x y } dict boolean - begin % { x y } dict begin - tx@Dict begin - STV CP T exec % set scaling - end - /NodeMtrx CM def % save CM - next % InitXNode - end - grestore -} def -% -/InitPnode { - /Y ED /X ED - /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -% -/InitCnode { - /r ED /Y ED /X ED - /NodePos { NodeSep r add dup Cos mul exch Sin mul } def -} def -% -/GetRnodePos { - Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse - Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse - dx Sin mul abs dy - Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse -} def -% -/InitRnode { - /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED - /NodePos { GetRnodePos } def -} def -% -/DiaNodePos { - w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup - Cos mul exch Sin mul -} def -% -/TriNodePos { - Sin s lt - { d NodeSep sub dup Cos mul Sin Div exch } - { w h mul w Sin mul h Cos abs mul add Div - NodeSep add dup Cos mul exch Sin mul - } ifelse -} def -% -/InitTriNode { - sub 2 div exch - 2 div exch - 2 copy T - 2 copy 4 index index /d ED - pop pop pop pop - -90 mul rotate - /NodeMtrx CM def - /X 0 def /Y 0 def - d sub abs neg /d ED - d add /h ED - 2 div h mul h d sub Div /w ED - /s d w Atan sin def - /NodePos { TriNodePos } def -} def -% -/OvalNodePos { - /ww w NodeSep add def - /hh h NodeSep add def - Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul -} def -% -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -% -/XYPos { - dup sin exch cos Do - /Cos ED /Sin ED /Dist ED - Cos 0 gt - { Dist Dist Sin mul Cos div } - { Cos 0 lt - { Dist neg Dist Sin mul Cos div neg } - { 0 Dist Sin mul } ifelse - } ifelse - Do -} def -% -/GetEdge { - dup 0 eq - { pop begin 1 0 NodeMtrx dtransform - CM idtransform - exch atan sub - dup - sin /Sin ED - cos /Cos ED - /NodeSep ED - NodePos NodeMtrx dtransform CM idtransform end } - { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse -} def -% -/AddOffset { - 1 index 0 eq - { pop pop } - { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse -} def -% -/GetEdgeA { - NodeSepA AngleA NodeA NodeSepTypeA GetEdge - OffsetA AngleA AddOffset - yA add /yA1 ED - xA add /xA1 ED -} def -% -/GetEdgeB { - NodeSepB AngleB NodeB NodeSepTypeB GetEdge - OffsetB AngleB AddOffset - yB add /yB1 ED - xB add /xB1 ED -} def -% -/GetArmA { - ArmTypeA 0 eq - { /xA2 ArmA AngleA cos mul xA1 add def - /yA2 ArmA AngleA sin mul yA1 add def } - { ArmTypeA 1 eq {{exch}} {{}} ifelse - /Do ED - ArmA AngleA XYPos OffsetA AngleA AddOffset - yA add /yA2 ED - xA add /xA2 ED } ifelse -} def -% -/GetArmB { - ArmTypeB 0 eq - { /xB2 ArmB AngleB cos mul xB1 add def - /yB2 ArmB AngleB sin mul yB1 add def } - { ArmTypeB 1 eq {{exch}} {{}} ifelse - /Do ED - ArmB AngleB XYPos OffsetB AngleB AddOffset - yB add /yB2 ED - xB add /xB2 ED } ifelse -} def -% -/InitNC { - /b ED /a ED % second and first node - /NodeSepTypeB ED /NodeSepTypeA ED - /NodeSepB ED /NodeSepA ED - /OffsetB ED /OffsetA ED - tx@NodeDict a known tx@NodeDict b known and dup { - /NodeA a load def - /NodeB b load def - NodeA GetCenter /yA ED /xA ED - NodeB GetCenter /yB ED /xB ED } if -} def -% -/LPutLine { - 4 copy - 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED - 1 t sub mul - 3 1 roll 1 t sub mul - 4 1 roll t mul add /Y ED - t mul add /X ED -} def -% -/LPutLines { - mark LPutVar counttomark 2 div 1 sub /n ED -% t floor dup n gt - t floor dup n ge % to allow npos<= hv 2008-08-14 - { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse - cvi 2 mul { pop } repeat - LPutLine - cleartomark -} def -% -/BezierMidpoint { - /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED - /cx x1 x0 sub 3 mul def - /cy y1 y0 sub 3 mul def - /bx x2 x1 sub 3 mul cx sub def - /by y2 y1 sub 3 mul cy sub def - /ax x3 x0 sub cx sub bx sub def - /ay y3 y0 sub cy sub by sub def - ax t 3 exp mul bx t t mul mul add - cx t mul add x0 add ay t 3 exp mul - by t t mul mul add cy t mul add - y0 add 3 ay t t mul mul mul 2 - by t mul mul add cy add 3 ax t t mul mul mul - 2 bx t mul mul add cx add atan /NAngle ED - /Y ED /X ED -} def -% -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit -} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd -} def -/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def } def -/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def -GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { -LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { -LPutVar VPutLine } def LPutVar } def -% -/NCLine { - NCCoor - tx@Dict begin - ArrowA CP 4 2 roll - ArrowB - lineto pop pop - end -} def -% -/NCLines { - false NArray - n 0 eq - { NCLine } - { 2 copy yA sub exch xA sub Atan /AngleA ED - n 2 mul dup index exch index yB sub exch xB sub - Atan /AngleB ED - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def - mark LPutVar - tx@Dict begin false Line end - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def - } ifelse -} def -% -/NCCurve { - GetEdgeA - GetEdgeB - xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -% -/NCAngles { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform pop - xB2 yB2 mtrx transform exch pop - mtrx itransform - /y0 ED /x0 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def } def -% -/NCAngle { - GetEdgeA GetEdgeB GetArmB - /mtrx AngleA matrix rotate def - xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform - /y0 ED /x0 ED - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA1 yA1 - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCBar { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx itransform pop - xB2 yB2 mtrx itransform pop - sub dup 0 mtrx transform - 3 -1 roll 0 gt - { /yB2 exch yB2 add def /xB2 exch xB2 add def } - { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCDiag { - /lineAngle ED - GetEdgeA GetEdgeB GetArmA GetArmB mark - lineAngle abs 0 gt { - /xTemp xA2 10 add def - /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def - /dY1 yTemp yA2 sub def - /dX1 xTemp xA2 sub def - /dY2 yB2 yB1 sub def - /dX2 xB2 xB1 sub def - dX1 abs 0.01 lt { - /m2 dY2 dX2 div def - /xB2 xA2 def - /yB2 xA2 xB1 sub m2 mul yB1 add def - }{ - dX2 abs 0.01 lt { - /m1 dY1 dX1 div def - /xB2 xB1 def - /yB2 xB1 xA2 sub m1 mul yA2 add def - }{% - /m1 dY1 dX1 div def - /m2 dY2 dX2 div def - /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def - /yB2 xB2 xA2 sub m1 mul yA2 add def - } ifelse - } ifelse - } if - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetEdgeB GetArmA GetArmB mark -% ArmB 0 ne { xB1 yB1 } if -% xB2 yB2 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCDiagg { - /lineAngle ED - GetEdgeA GetArmA - lineAngle abs 0 gt - { lineAngle } - { yB yA2 sub xB xA2 sub Atan 180 add } ifelse - /AngleB ED - GetEdgeB mark - lineAngle abs 0 gt { - /dY2 yA2 yA1 sub def - /dX2 xA2 xA1 sub def - lineAngle abs 90 eq { - /m2 dY2 dX2 div def - /yA2 xB xA2 sub m2 mul yA2 add def - /xA2 xB def - }{ - /m1 lineAngle dup sin exch cos div def % tan alpha - dX2 abs 0.01 lt { - /yA2 xA1 xB sub m1 mul yB add def - /xA2 xA1 def - }{% - /m2 dY2 dX2 div def - /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def - /yA2 xA2 xB sub m1 mul yB add def - } ifelse - } ifelse - } if - xB1 yB1 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetArmA -% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED -% GetEdgeB -% mark -% xB1 yB1 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCLoop { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED - /xB3 xB2 yB2 mtrx transform pop def - xB3 yA3 mtrx itransform /yB3 ED /xB3 ED - xA3 yA3 mtrx itransform /yA3 ED /xA3 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -% DG/SR modification begin - May 9, 1997 - Patch 1 -%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r -%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -% -/NCCircle { - NodeSepA 0 NodeA 0 GetEdge pop - 2 div dup 2 exp r r mul sub abs sqrt - atan 2 mul /a ED - r AngleA 90 add PtoC yA add exch xA add - exch 2 copy - /LPutVar [ 4 2 roll r AngleA ] cvx def - /LPutPos { - LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC - 3 -1 roll add - /Y ED add /X ED /NAngle ED -% DG/SR modification end - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def - r AngleA 90 sub a add AngleA 270 add a sub - tx@Dict begin - /angleB ED /angleA ED /r ED - /c 57.2957 r Div def - /y ED /x ED -} def -% -/NCBox { - /d ED /h ED - /AngleB yB yA sub xB xA sub Atan def - /AngleA AngleB 180 add def - GetEdgeA GetEdgeB - /dx d AngleB sin mul def - /dy d AngleB cos mul neg def - /hx h AngleB sin mul neg def - /hy h AngleB cos mul def - /LPutVar [ - xA1 hx add yA1 hy add xB1 hx add yB1 hy add - xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def - /LPutPos { LPutLines } def - /HPutPos { xB yB xA yA LPutLine } def - /VPutPos { HPutPos } def - mark - LPutVar tx@Dict begin false Polygon end -} def -% -/NCArcBox { - /l ED neg /d ED /h ED /a ED - /AngleA yB yA sub xB xA sub Atan def - /AngleB AngleA 180 add def - /tA AngleA a sub 90 add def - /tB tA a 2 mul add def - /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def - /x0 xA r tA cos mul add def - /y0 yA r tA sin mul add def - /c 57.2958 r div def - /AngleA AngleA a sub 180 add def - /AngleB AngleB a add 180 add def - GetEdgeA GetEdgeB - /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def - /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def - l 0 eq { - x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn - }{ - x0 y0 translate - /tA AngleA l c mul add def - /tB AngleB l c mul sub def - 0 0 r h add tA tB arc r h add - AngleB PtoC r d add - AngleB PtoC 2 copy - 6 2 roll l arcto 4 { pop } repeat - r d add tB PtoC l arcto 4 { pop } repeat - 0 0 r d add tB tA arcn r d add - AngleA PtoC r h add - AngleA PtoC 2 copy 6 2 roll - l arcto 4 { pop } repeat - r h add tA PtoC l arcto 4 { pop } repeat - } ifelse - closepath - /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def - /LPutPos { - LPutVar /d ED /h ED - /AngleB ED /AngleA ED - /r ED /y0 ED /x0 ED - t 1 le { - r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC - }{t 2 lt { - /NAngle AngleB 180 add def r 2 t sub - h mul t 1 sub d mul add add AngleB PtoC - }{ - t 3 lt { - r d add AngleB 3 t sub mul AngleA 2 t sub - mul add dup 90 sub /NAngle ED PtoC - }{ - /NAngle AngleA 180 add def - r 4 t sub d mul t 3 sub h mul add add AngleA PtoC - } ifelse - } ifelse - } ifelse - y0 add /Y ED x0 add /X ED - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def -} def -% -/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB -sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 -ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB -w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos -{ 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 - 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Tutelaers, Torben Hoffmann, Dirk Bächle. All rights reserved.) readonly def -/FullName (SkakNew-DiagramT) readonly def -/FamilyName (SkakNew-DiagramT) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Regular) readonly def -end readonly def -/FontName /SkakNew-DiagramT def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 48 /zero put -dup 65 /A put -dup 66 /B put -dup 74 /J put -dup 75 /K put -dup 77 /M put -dup 78 /N put -dup 79 /O put -dup 80 /P put -dup 81 /Q put -dup 82 /R put -dup 83 /S put -dup 90 /Z put -dup 97 /a put -dup 98 /b put -dup 107 /k put -dup 108 /l put -dup 109 /m put -dup 110 /n put -dup 111 /o put -dup 112 /p put -dup 113 /q put -dup 114 /r put -dup 115 /s put -readonly def -/PaintType 0 def -/FontType 1 def -/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def -/FontBBox {-15 0 1015 1000} readonly def -currentdict end -currentfile eexec -D9D66F633B846A989B9974B0179FC6CC445BCF7C3C3333173232E3FDBFF43949 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2009 -%%VMusage: 120000 150000 -11 dict begin -/FontInfo 15 dict dup begin -/version (001.002) readonly def -/Notice (Copyright (c) Ulrich Dirr 2004, former designs by Piet Tutelaers, Torben Hoffmann, Dirk Bächle. All rights reserved.) readonly def -/FullName (SkakNew-Figurine Bold) readonly def -/FamilyName (SkakNew-Figurine) readonly def -/ItalicAngle 0 def -/isFixedPitch false def -/UnderlinePosition -100 def -/UnderlineThickness 50 def -/Weight (Bold) readonly def -end readonly def -/FontName /SkakNew-Figurine-Bold def -/Encoding 256 array -0 1 255 {1 index exch /.notdef put} for -dup 66 /B put -dup 78 /N put -dup 81 /Q put -dup 82 /R put -dup 88 /X put -readonly def -/PaintType 0 def -/FontType 1 def -/FontMatrix [ 0.001 0 0 0.001 0 0 ] readonly def -/FontBBox {0 -158 1430 846} readonly def -currentdict end -currentfile eexec -D9D66F633B846A989B9974B0179FC6CC445BCF7C3C3333173232E3FDBFF43949 -1DB866C39088C203DC22FDC758584860EC7BB67FDA28CC6208249060E18FAB32 -204779B5C03C0493BBBBC95CF02692CC4DEAA8D2EA90B5C2E64374E92BCB8501 -429B8FAE4A76C0C6B76D6FF7CF9A7D5EDFBCA0E959541C59BD05B7DE43D25D53 -FC3DDA6EF0C2743978A6D03E19CCED4A11F2EA4BCC3110BE8B8D9E2772361969 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4 120 v 1944 -4724 V 515 4726 1433 4 v 0 TeXcolorgray 2068 4435 a Fh(1)17 -b Fr(n)o Fw(newsk)-5 b(aklanguage)n Fr(f)o Fw(danish)p -Fr(gf)o Fw(KDTLSB)p Fr(g)2068 4535 y Fh(2)2068 4635 y(3)17 -b Fr(n)o Fw(sk)-5 b(aklanguage)n([danish])2068 4734 y -Fh(4)2068 4834 y(5)17 b Fr(n)o Fw(newgame)2068 4933 y -Fh(6)g Fr(n)o Fw(mainline)p Fr(f)p Fw(1.e)o(4)28 b(c5)35 -b(2.)7 b(Sf)r(3)33 b(Sc6)p Fr(g)p 0 TeXcolorgray 0 TeXcolorgray -0 TeXcolorgray 0 TeXcolorgray 1905 5255 a Fw(13)p 0 TeXcolorgray -eop end -%%Trailer - -userdict /end-hook known{end-hook}if -%%EOF diff --git a/Master/texmf-dist/doc/latex/skak/skakdoc.tex b/Master/texmf-dist/doc/latex/skak/skakdoc.tex deleted file mode 100644 index c8d1a2d15bd..00000000000 --- a/Master/texmf-dist/doc/latex/skak/skakdoc.tex +++ /dev/null @@ -1,620 +0,0 @@ -\documentclass[10pt]{article} - -\usepackage{lambda,ifthen,calc} -\usepackage{tabularx} -\usepackage[ps,mover,small,skaknew]{skak} -\usepackage{fancyvrb} -\usepackage{multicol} -\usepackage[final]{showexpl} - - - -\makeatletter -%% to get showexpl to respekt empty lines -%% this corrects a bug in showexpl as long -%% as the new version isn't there -\renewcommand*\SX@resultInput{% - %%\MakePercentComment\catcode`\^^M=10\relax - \SX@@preset\SX@preset - \if@SX@rangeaccept - \let\@tempa=\SX@input% Nur sinnvoll bei \LTXinputExample - \else - \let\@tempa=\input - \fi - \@tempa{\SX@codefile}% - \MakePercentIgnore} -\makeatother - - -\lstset{width=0.5} % wider examples -\lstset{preset=\raggedright} - -\usepackage[inactive]{pst-pdf} -%\usepackage{pst-pdf} - -\makeatletter -% to be able to redefine showboard, should go in skak.sty -\def\notationOn{\let\print@board=\show@board@notation% - \let\print@inverseboard=\show@board@notation@inverse} -\def\notationOff{\let\print@board=\show@board% - \let\print@inverseboard=\show@board@inverse} - -\renewcommand\showboard{\print@board} -\renewcommand\showinverseboard{\print@inverseboard} -\makeatother - -\notationOn - -\let\ORIshowboard\showboard -\let\ORIshowinverseboard\showinverseboard -\renewcommand\showboard{% - \makebox[8\squarelength]{% - \rule{0pt}{9\squarelength}% for better spacing above board - \begin{postscript}% siehe pst-pdf.sty - [trim = \squarelength{} 0pt \squarelength{} 0pt] - \ORIshowboard - \end{postscript}}} - -\renewcommand\showinverseboard{% - \makebox[8\squarelength]{% - \rule{0pt}{9\squarelength}% for better spacing above board - \begin{postscript}% siehe pst-pdf.sty - [trim = \squarelength{} 0pt \squarelength{} 0pt] - \ORIshowinverseboard - \end{postscript}}} - - -\newcommand{\package}[1]{\textsf{#1}} -\newcommand{\command}[1]{\textbackslash\texttt{#1}} -\newcommand{\pgn}{PGN\ } -\newcommand{\san}{SAN\ } -\newcommand{\fen}{FEN\ } -\newcommand{\xboard}{xboard} -\newcommand{\metafont}{\textsc{Metafont}\ } -\newcommand{\filename}[1]{\texttt{#1}} -%\newenvironment{example} -% {\VerbatimEnvironment\begin{VerbatimOut}{test.out}} -% {\end{VerbatimOut}\small\noindent -%\begin{multicols}{2} -%\BVerbatimInput{test.out} -%\columnbreak% -% -%\input{test.out}% -%\end{multicols} -% \normalsize} - - - -\newcommand{\Guido}{Guido Governatori\ } -\newcommand{\Harri}{Harri Haanpaa\ } -\newcommand{\Ingo}{Ingo Sander\ } -\newcommand{\Dirk}{Dirk B\"achle\ } -\newcommand{\Ulrike}{Ulrike Fischer\ } -\newcommand{\Andreas}{Andreas Wilm\ } - - - -\title{Typesetting Chess in \LaTeX with the \package{skak} Package\\ -Version 1.5.2} -\author{Torben Hoffmann\\ e-mail: \texttt{torben.lehoff@gmail.com}} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\begin{document} -\maketitle - -\begin{abstract} - This user guide shows how to use an enhancement to the existing - package for typesetting chess in \LaTeX (\package{skak}). The - primary improvement over the old package is that it has become - easier to typeset chess games with this new package. -\end{abstract} - -\newpage -\tableofcontents -\newpage - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Terms of Usage} -\label{sec:terms-usage} - -This package is distributed under the terms described in the Latex -Project Public Licence, i.e., - -\begin{quote} - This software is copyright but you are granted a license which gives - you, the ``user'' of the software, legal permission to copy, - distribute, and/or modify the software. However, if you modify the - software and then distribute it (even just locally) you must change - the name of the software to avoid confusion. -\end{quote} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Installing the \package{skak} Package} -\label{sec:install} - -I could not get the makefile to do the job, so if someone could help -me out on this I would be very glad indeed. - -Basically all you have to do is to follow the guidelines in the -makefile. First you create all the required directories (stated in the -\texttt{install} section of the makefile) and then you run the -\texttt{make install} command. Remember to run \texttt{texhash} after -you have updated your texmf tree. - -Sorry that it is not working $100\%$--- I just do not have the time for -it right now. - -If you cannot get the things working just put the files where \TeX and -the other tools can find them and you will be just fine. - -For Windows user I can recommend the MikTeX installation since it has -skak as a package and all you have to do is to use the MikTeX -installation tools and select installation of skak and you're up and -running. - -Ultimately the skak package should be documented using the \LaTeX -standard documentation, but that is a major undertaking that will not -happen right now. - -\subsection{Using the \package{lambda} Package} -\label{sec:using-lambda} - -The \package{skak} package uses the \package{lambda} package to do -some of the hard processing necessary to allow the \pgn notation as -input --- since it is not standard in \LaTeX distributions it is -included in the distribution of the \package{skak} package. - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Basic usage of the \package{skak} package} -\label{sec:basic-usage} - -Once the \package{skak} package has been installed you only need to -know very few things in order to produce nicely typeset chess games: - -\begin{itemize} -\item write \verb|\usepackage{skak}| in the preamble. -\item the \command{newgame} command. -\item the \command{mainline} command. -\item the \command{variation} command. -\item the \command{showboard} command. -\end{itemize} - -As an example I will describe some moves from the Ruy Lopez opening ---- please note that the comments are just idle talk. In the left -column the input is shown and the corresponding output is shown in the -right column. - -\begin{LTXexample} -\newgame -\mainline{1.e4 e5 2. Nf3 Nc6 3.Bb5} - -\showboard -\end{LTXexample} - -The \command{newgame} command sets up the internal board or a new -game. The \command{mainline} command does two things: it typesets the -moves and updates the board so that \command{showboard} will show the -current board position. - -\begin{LTXexample} -\mainline{3...a6} \savegame{pap1} -Rarely used these days, -\variation{3...Nf6} is more in -fashion since blah blah... -\mainline{4.Ba4} - -\showboard -\end{LTXexample} - - - -This example shows that if it is black to move the move number shoud -be followed by three periods. Furthermore, it also shows that the -\command{variation} command merely typesets the moves --- it does -\emph{not} update the board, but apart from that it expects the same -input as \command{mainline}. - -The four commands introduced in this section will enable you to -comment your games with minimal effort and still get great results --- -in fact most chess books can be writen using only these commands! - -But the \package{skak} package offers a lot more that can make chess -typesetting easier for your --- these features are the topics of the -next two sections. - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Intermediate Usage of the \package{skak} Package} -\label{sec:intermediate} - -This section describes how to -\begin{itemize} -\item do game management, -\item add ornaments to the board and -\item controlling some aspects of showing the board. -\end{itemize} - - -\subsection{Game Management} -\label{sec:game-management} - -Returning to the Ruy Lopez example suppose you want to go into details -about a number of variations after white's third move, preferably -showing the board in all the lines you describe. - -One way to do this is to use the \command{hidemoves} command like -this: - -\begin{LTXexample} -\newgame -\mainline{1.e4 e5 2. Nf3 Nc6 3.Bb5} - -\showboard -\end{LTXexample} - -\begin{LTXexample} -\mainline{3...a6} blah blah - -\showboard - -\end{LTXexample} - -\begin{LTXexample} -\newgame -\hidemoves{1.e4 e5 2. Nf3 Nc6 3.Bb5} -\mainline{3...Nge7} blah blah - -\showboard -\end{LTXexample} - -This is, admittedly, a labourious way of doing it, but the example -shows how \command{hidemoves} can fast-forward you to any point in a game. - - -\package{skak} offers you ways of storing game positions -\begin{itemize} -\item in memory or -\item in a file. -\end{itemize} - -The former is done using the \command{storegame} and -\command{restoregame} commands like this: - -\begin{LTXexample} -\newgame -\mainline{1.e4 e5 2. Nf3 Nc6 3.Bb5} -\storegame{game1} -\mainline{3...a6 4.Ba4 b5} - -\showboard -\restoregame{game1} - -\mainline{3...Bd7} -\showboard -\end{LTXexample} - - -Saving and loading to/from a file is the same just with the commands -\command{savegame} and \command{loadgame}. - - -\section{Ornaments} -\label{sec:ornaments} - - - -\subsection{Showing the Board} -\label{sec:showing-board} - -We have already seen \command{showboard} in action, but is is possible -to alter the way the board looks like. - -With the \command{mover}\footnote{\command{mover} only works if the \package{skak} is loaded with the ps option.} command one can request that a little marker -is shown next to the board indicating who is to move next. - -\begin{LTXexample} -\newgame - -\showboard - -\end{LTXexample} - -\begin{LTXexample}%9 okay - -\mainline{1.d4} - -\showboard -\end{LTXexample} - -This can be turned off with \command{moveroff}. You can also remove -the notation around the board using \command{notationoff} which gives -this appearance: - -\begin{LTXexample} -\newgame -\notationoff -\showboard - -\end{LTXexample} - -The notation is added again after one has issued -\command{notationon}. \notationon - -A more elaborate explanation of how the appearance of the notation -around the board is configured can be found in \cite{chessnfss}. - -Although it is rarely seen is chess books \package{skak} offers -the possibility of showing the board from black's perspective -using the -\command{showinverseboard} command. - -\begin{LTXexample} -\newgame -\showboard - -\end{LTXexample} - -If you are writing about an opening from black's point of view this -command/feature could be a welcome refreshment in presentation style. - - -\subsection{Handy Commands} -\label{sec:handycommands} - -By requst of users and own usage a couple of handy commands have been -added to \package{skak} that you might find useful too. - -\command{wmove\{\emph{move}\}} typesets a single move, whereas -\command{bmove\{\emph{move}\}} does the same only with leading -ellipses (see \ref{sec:advanced-usage}for in-depth explanation). This -is useful for short remarks like: - -\begin{LTXexample} -\bmove{Nd4} would have been better. -\end{LTXexample} - - -\command{lastmove} is a shorthand for commenting on the last move made: - -\begin{LTXexample} -\newgame -\mainline{1.a3} - -\lastmove{} is bad. -\end{LTXexample} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\section{Advanced Usage} -\label{sec:advanced-usage} - -This section will describe some features of the \package{skak} package -that allows you to control a lot with regards to the typesetting of -moves as well as how the board is shown. - -Furthermore, we will take a look at how the board is set up in -arbitrary positions and how the input language can be changed. - - -\subsection{Tailoring of the Board Appearance} -\label{sec:tail-board-appe} - -In additon to the ornaments and showing the board upside down -described in \ref{sec:intermediate} one can choose to show only a -subset of the pieces actually on the board. - -The simple commands \command{showonlywhite} and \command{showonlyblack} shows -only one colour on the board: - -\begin{LTXexample} -\newgame -\mainline{1.e4 e5 2. Nf3 Nc6 3.Bb5} - -\showonlywhite -\showboard - -\end{LTXexample} - -\begin{LTXexample} -\showonlyblack -\showboard -\end{LTXexample} - - -This is often used when describing openingswhere one wants to focus on -the merrits of the piece set-up on one side without considering how -the other side is positioned. - -In addition to the commands for showing only one colour it is also -possible to show any subset of the pieces on the board using the -\command{showonly} command that takes a comma sperated list of piece -names as argument: - -\begin{LTXexample} -The pawn structure is -now like this: - -\showonly{P,p} -\showboard -\end{LTXexample} - -The piece names are the standard English name with the addition that -white pieces are denoted by upper case and black's by lowercase. Pawns -are P and p. - -It is also possible to do the opposite of \command{showonly} using -\command{showallbut}: - -\begin{LTXexample} -\showallbut{P,p} -\showboard -\end{LTXexample} - - -\subsection{Setting up the Board} -\label{sec:setting-up-board} - -So far we have only looked how to start a new game, but you can also -set up the board in \emph{any} position using the command -\command{fenboard}: - -Forsyth-Edwards Notation (FEN) is a standard used to describe chess -positions. It starts with a description of the contents of the ranks -on the board. The ranks are separted by a slash starting with the -eighth row, so if you want to write down the FEN of a -position you should be seated as white and work your way dow the -board. The pieces are designated using the stardard English piece -names. - -After the position of the pieces the following information is given -separated by spaces: -\begin{itemize} -\item who it is to move (w or b). -\item castling options left for white. - for none, and K and Q for - options to castle kingside or queenside for white and k and q for black -\item en passant square, if applicable otherwise a -. -\item number of halfmoves since the last capture. -\item the move number. -\end{itemize} - - -\begin{LTXexample} -\fenboard{r5k1/1b1p1ppp/p7/1p1Q4/ -2p1r3/PP4Pq/BBP2b1P/R4R1K w - - 0 20} - -\mbox{} -\bigskip - -\showboard - - -\mainline{20.Qxb7 Rae8 21.Qd5} - -\end{LTXexample} - - -\subsection{Typesetting Style} -\label{sec:typesetting-style} - -There are a couple of ways to configure how the move are typeset as -described in the following. - - -\subsubsection{\command{styleA}} -\label{sec:stylea} - -The \command{styleA} will switch the typesetting to the way it has -been the standard in Denmark and --- I believe --- Germany. - -\begin{LTXexample} -\newgame -\styleA - -\mainline{1.e4 c5 2.Nf3 Nc6} -\end{LTXexample} - - -\subsubsection{\command{styleB}} -\label{sec:styleb} - -The style selected by \command{styleB} is the default one. - -\begin{LTXexample} -\newgame -\styleB - -\mainline{1.e4 c5 2.Nf3 Nc6} -\end{LTXexample} - - -\subsubsection{\command{styleC}} -\label{sec:styleb} - -The style selected by \command{styleC} is an elaboration on -\command{styleB}: it typesets the moves line by line for each move for -the mainline but on the same line for variations --- this style is -used in many books these days, but look the best in a two-column -setting where the linewidth is small. - -\begin{LTXexample} -\newgame -\styleC - -\mainline{1.e4 c5 2.Nf3 Nc6} - -Interesting how \variation{2...d6} is blah blah. -\end{LTXexample} - -\styleB - - -\subsubsection{\command{variationstyle} and \command{mainlinestyle}} -\label{sec:variationstyle} - -Configuration of these commands allows for total control of the -typesetting of the mainline and variations, they default to: - -\begin{verbatim} -\def\mainlinestyle{\bfseries}% could also contain - % definitions of the - % various style options -\def\variationstyle{}% as with mainlinestyle -\end{verbatim} - -They are used by \command{styleC} to control the switching back and -forth between a tabbed environment and normal typesetting: - -\begin{verbatim} -\def\mainlinestyle{\styleC\bfseries} -\def\variationstyle{\styleB} -\end{verbatim} - - - -\subsubsection{\command{longmoves} and \command{sanmoves}} -\label{sec:commandlongmove} - -The \command{longmoves} command will ensure that the full move, i.e., including the from -square is typeset. This is also know as \emph{algebraic} notation --- -can be quite handy when writing about chess for children or other -newcommers to chess notation. - -\begin{LTXexample} -\newgame -\longmoves - -\mainline{1.e4 c5 2.Nf3 Nc6} -\end{LTXexample} - -\shortmoves - -The \command{shortmoves} command returns things to normal. - - -\subsection{Input Language} -\label{sec:input-language} - -The \package{skak} package by default uses the English letters for the -pieces, i.e., K for King, Q for Queen, R for Rook, B for Bishop, N for -Knight and P for Pawn. - -The \command{newskaklanguage} command makes it possible to define -other languages than English, e.g., suppose I want to use the Danish -piece letters: - -\begin{LTXexample} -\newskaklanguage{danish}{KDTLSB} - -\skaklanguage[danish] - -\newgame -\mainline{1.e4 c5 2.Sf3 Sc6} -\end{LTXexample} - - - -\end{document} diff --git a/Master/texmf-dist/doc/latex/skak/syntax.tex b/Master/texmf-dist/doc/latex/skak/syntax.tex deleted file mode 100644 index ecc48f79310..00000000000 --- a/Master/texmf-dist/doc/latex/skak/syntax.tex +++ /dev/null @@ -1,321 +0,0 @@ -\documentclass[a4paper]{article} - -\usepackage{skak} - -\def\package#1{``\textsf{#1}''} -\def\command#1{``\texttt{\symbol{92}#1}''} -\def\commandwarg#1#2{\texttt{\symbol{92}#1}\{\textit{#2}\}} -\def\base#1{$_{\scriptscriptstyle #1}$} -\def\abbrev#1{\textsf{#1}} -\def\bnf#1{\textit{#1}} -\def\bnfterm#1{\textbf{#1}} -\def\bnfprod{$\rightarrow$} -\def\bnfempty{$\epsilon$} -\def\bnfor{$|$} -\def\bnfjoin{$\bowtie$} - -\setlength{\parindent}{0pt} - -\title{The Syntax of Chess Moves in the \LaTeX{} Package \package{skak} (Draft)} -\author{Dirk B\"achle} - -\begin{document} - -\maketitle - -\begin{abstract} -This short document contains some thoughts and ideas about the ``to be supported'' -syntax of chess moves, including SAN (Short Algebraic Notation) as well as LAN -(Long Algebraic Notation). - -The main purpose of this draft is to specify a concrete set of allowed chess moves. -In the next step, extensive test routines for this syntax should be generated -that can be used to verify the final implementation\ldots -\end{abstract} - -\section*{Stage 1: Parsing \command{mainline}/\command{variation}} - -The commands \command{mainline} and \command{variation} should accept -a nonemtpy list of space separated ``move tokens'' (\abbrev{MT}): - -\medskip -\hfil\commandwarg{mainline}{MT\_list}\hfil or \hfil\commandwarg{variation}{MT\_list}\hfil - -where - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MT\_list} \bnfprod\={} \bnf{MT} \bnfterm{space} \bnf{MT\_list}\\ - \>\bnfor{} \bnf{MT} -\end{tabbing} -\end{minipage} -\end{center} - -using BNF (Backus-Naur Form) notation with `\bnfterm{space}' as the -terminal symbol for the character '\ ' (ASCII code -32\base{10}). - -\section*{Stage 2: Splitting off move numbers} - -Each \abbrev{MT} may be either a chess move (\abbrev{CM}), a move number (\abbrev{MN}) -or a token like ``\texttt{2.Kg1}'' that combines both: - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MT} \bnfprod\={} \bnf{MN} \bnf{CM}\\ - \>\bnfor{} \bnf{CM}\\ - \>\bnfor{} \bnf{MN} -\end{tabbing} -\end{minipage} -\end{center} - -The only task of this stage is to separate ``combined tokens'' (first rule in the -production above) and, therefore, supply the next stage 3 with a steady stream -of single move tokens (\abbrev{M}). - -\begin{quote} -Remark: This ``separation'' probably has to be done by inspecting the whole -token character for character. Thus, it appears to be efficient to already -collect information about the move number \abbrev{MN} (White/Black to move, -getting the number itself, suppressing leading zeros) in this early stage\ldots -\end{quote} - -No semantic checking is done here, i.e.~this stage doesn't -detect errors like \mbox{``\texttt{2.~Kg1 3.~Bf4}''}. - -\section*{Stage 3: Parsing single move tokens} - -At this point, we can be sure to get either a chess move \abbrev{CM} -or a move number \abbrev{MN}: - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{M} \bnfprod\={} \bnf{CM}\\ - \>\bnfor{} \bnf{MN} -\end{tabbing} -\end{minipage} -\end{center} - -Both can be distinguished well by inspecting the first character of the token, since -only move numbers \abbrev{MN} may start with a digit (\abbrev{D}). - -This stage would be the right place to check for the correct order -of chess moves and move numbers, i.e.~if a \abbrev{MN} is encountered -the right side (White or Black) should be to move. - -\section*{Parsing move numbers} - -Move numbers \abbrev{MN} consist of an integer value (\abbrev{N}), immediately -followed by one or three dots as terminal symbols, signalling whether it's -Whites or Blacks move. - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MN} \bnfprod\={} \bnf{N} \bnfterm{...}\\ - \>\bnfor{} \bnf{N} \bnfterm{.} -\end{tabbing} -\end{minipage} -\end{center} - -An integer value \abbrev{N} is a nonempty list of single digits -(\abbrev{D})\ldots - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{N} \bnfprod\={} \bnf{D} \bnf{N}\\ - \>\bnfor{} \bnf{D} -\end{tabbing} -\end{minipage} -\end{center} - -\ldots where each digit \abbrev{D} should be contained in the set of terminal -symbols 0--9. - -\begin{center} -\begin{minipage}{5cm} -\begin{tabbing} -\bnf{D} \bnfprod\={} \bnfterm{0}\bnfor\bnfterm{1}\bnfor\bnfterm{2}% -\bnfor\bnfterm{3}\bnfor\bnfterm{4}\bnfor\bnfterm{5}\bnfor\bnfterm{6}% -\bnfor\bnfterm{7}\bnfor\bnfterm{8}\bnfor\bnfterm{9} -\end{tabbing} -\end{minipage} -\end{center} - -Here, the move number can be checked against the internal move counter -if necessary. - -\section*{Parsing chess moves} - -A chess move \abbrev{CM} starts with the ``move specification'' (\abbrev{MS}), -giving information about the piece that is to move and the source and -destination squares. Additionally, an arbitrary number of character tokens may follow -as a move comment (\abbrev{MC}). So, after enough ``hints'' for executing the move -are collected, i.e.~\abbrev{MS} was ``matched'', the rest of the token is regarded -as comment \abbrev{MC} and is output unchanged. - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{CM} \bnfprod\={} \bnf{MS} \bnf{MC}\\ - \>\bnfor{} \bnf{MS} -\end{tabbing} -\end{minipage} -\end{center} - -Before defining the move specification \abbrev{MS} itself a few helping nonterminal -symbols are introduced. Please, remember that bold characters within -the ``rules'' denote terminal symbols\ldots - -\begin{enumerate} -\item A ``piece'' character (\abbrev{P}) - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{P} \bnfprod\={} \bnfterm{K}\bnfor\bnfterm{Q}\bnfor\bnfterm{B}% -\bnfor\bnfterm{N}\bnfor\bnfterm{R} -\end{tabbing} -\end{minipage} -\end{center} - -Remark: This definition uses the english letters for the single pieces. The -real implementation should be independent of the used language. - -\item A ``file'' character (\abbrev{f}) - -\begin{center} -\begin{minipage}{5cm} -\begin{tabbing} -\bnf{f} \bnfprod\={} \bnfterm{a}\bnfor\bnfterm{b}\bnfor\bnfterm{c}% -\bnfor\bnfterm{d}\bnfor\bnfterm{e}\bnfor\bnfterm{f}\bnfor\bnfterm{g}% -\bnfor\bnfterm{h} -\end{tabbing} -\end{minipage} -\end{center} - -\item A ``rank'' character (\abbrev{r}) - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{r} \bnfprod\={} \bnfterm{1}\bnfor\bnfterm{2}\bnfor\bnfterm{3}% -\bnfor\bnfterm{4}\bnfor\bnfterm{5}\bnfor\bnfterm{6}\bnfor\bnfterm{7}% -\bnfor\bnfterm{8} -\end{tabbing} -\end{minipage} -\end{center} - -\item A ``capture'' character (\bnfjoin) - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnfjoin{} \bnfprod\={} \bnfterm{-}\\ - \>\bnfor{} \bnfterm{x}\\ - \>\bnfor{} \bnfempty -\end{tabbing} -\end{minipage} -\end{center} - -where '\bnfempty' denotes the ``empty symbol''. - -\end{enumerate} - - -Move specifications (\abbrev{MS}) can be subdivided into the following groups: - -\begin{itemize} -\item Starting with a ``piece'' character - -\begin{itemize} -\item With source square -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MS} \bnfprod\={} \bnf{P} \bnf{f} \bnf{r} \bnfjoin{} \bnf{f} \bnf{r}\\ - \>\bnfor{} \bnf{P} \bnf{f} \bnfjoin{} \bnf{f} \bnf{r}\\ - \>\bnfor{} \bnf{P} \bnf{r} \bnfjoin{} \bnf{f} \bnf{r} -\end{tabbing} -\end{minipage} -\end{center} - -Examples: ``\texttt{Qf3-f4}'', ``\texttt{Ree6}'', ``\texttt{N1xc3}'' -\item Only a destination square present - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MS} \bnfprod\={} \bnf{P} \bnfjoin{} \bnf{f} \bnf{r} -\end{tabbing} -\end{minipage} -\end{center} - -Example: ``\texttt{Nxc4}'' -\end{itemize} - -\item Without leading ``piece'' character - -\begin{itemize} -\item With source square - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MS} \bnfprod\={} \bnf{f} \bnf{r} \bnfjoin{} \bnf{f} \bnf{r} \bnf{P}\\ - \>\bnfor{} \bnf{f} \bnfjoin{} \bnf{f} \bnf{r} \bnf{P}\\ - \>\bnfor{} \bnf{f} \bnf{r} \bnfjoin{} \bnf{f} \bnf{r}\\ - \>\bnfor{} \bnf{f} \bnfjoin{} \bnf{f} \bnf{r} -\end{tabbing} -\end{minipage} -\end{center} - -Examples: ``\texttt{f7-f8R}'', ``\texttt{dxe8B}'', ``\texttt{g2-g4}'', -``\texttt{fxe6}'' -\item Only a destination square present - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MS} \bnfprod\={} \bnf{f} \bnf{r} \bnf{P}\\ - \>\bnfor{} \bnf{f} \bnf{r} -\end{tabbing} -\end{minipage} -\end{center} - -Examples: ``\texttt{e8R}'', ``\texttt{a6}'' -\end{itemize} - - -\item Castlings - -\begin{center} -\begin{minipage}{3cm} -\begin{tabbing} -\bnf{MS} \bnfprod\={} \bnfterm{O-O-O}\\ - \>\bnfor{} \bnfterm{O-O} -\end{tabbing} -\end{minipage} -\end{center} - -Both of these terminals use the letter 'O' (ASCII code -79\base{10}) and not the digit '0' -(ASCII code 48\base{10})! -\end{itemize} - -\section*{Final remark} - -This text tries to provide only the syntax for the frontend of the new ``move -machine''. All the things that happen after the input was ``matched'' and -information was drawn out of the given ``chess moves'' to the largest extent, -i.e.~the semantic actions, are beyond the scope of this document. - -So, at the moment it is perfectly legal and syntactically correct to say -``\texttt{4. gxf8K}''\ldots - -\end{document} - diff --git a/Master/texmf-dist/doc/latex/skak/tuggame.pdf b/Master/texmf-dist/doc/latex/skak/tuggame.pdf Binary files differnew file mode 100644 index 00000000000..88f6ee2be5a --- /dev/null +++ b/Master/texmf-dist/doc/latex/skak/tuggame.pdf diff --git a/Master/texmf-dist/doc/latex/skak/tuggame.ps b/Master/texmf-dist/doc/latex/skak/tuggame.ps deleted file mode 100644 index 1aa0c8d7026..00000000000 --- a/Master/texmf-dist/doc/latex/skak/tuggame.ps +++ /dev/null @@ -1,7558 +0,0 @@ -%!PS-Adobe-2.0 -%%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software -%%Title: tuggame.dvi -%%CreationDate: Thu Jul 18 23:26:36 2013 -%%Pages: 2 -%%PageOrder: Ascend -%%BoundingBox: 0 0 596 842 -%%DocumentFonts: CMR17 CMTT12 CMR12 CMSS10 SkakNew-Diagram CMR10 -%%+ SkakNew-Figurine CMBX10 SkakNew-Figurine-Bold CMR5 CMSY10 CMTI10 -%%+ SFRM1000 -%%DocumentPaperSizes: a4 -%%EndComments -%DVIPSWebPage: (www.radicaleye.com) -%DVIPSCommandLine: dvips -o tuggame.ps tuggame.dvi -%DVIPSParameters: dpi=600 -%DVIPSSource: TeX output 2013.07.18:2326 -%%BeginProcSet: tex.pro 0 0 -%! -/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S -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 -/dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 -def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 -rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 -N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop -false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A -length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} -forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ -BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat -{BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch -round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 -rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B -/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M} -B/g{0 M}B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p --3 w}B/n{p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{ -0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end - 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flattenpath /z 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } - { /y ED /x ED PathLength@ } - {} - { /y y2 def /x x2 def PathLength@ } - /pathforall load stopped { pop pop pop pop } if - z -} def -% -/STP { .996264 dup scale } def % BP/PT scaling -/STV { SDict begin normalscale end STP } def % -% -/DashLine { - dup 0 gt - { /a .5 def PathLength exch div } - { pop /a 1 def PathLength } ifelse - /b ED % pattern should fit evenly in b - dup /X ED % pattern array - 0 get /y ED % length of first black segment - /z 0 X {add} forall def % length of the full pattern - %% Computation of the scaling factor as described by van Zandt: - b a .5 sub 2 mul y mul sub z Div round - z mul a .5 sub 2 mul y mul add b exch Div - %%%% scaling factor on stack. - /z ED %% now, z is the scaling factor - false % for the length test below - X { z mul } forall X astore %% modification TN 04-08-07 - %%% Checking whether at least one dash in X has positive length: - {0 gt or} forall - { X 1 a sub y mul } - { [ 1 0 ] 0 } - ifelse - setdash stroke -} def -% -/DotLine { - /b PathLength def - /a ED /z ED /y CLW def - /z y z add def - a 0 gt { - /b b a div def - }{ - a 0 eq { - /b b y sub def - }{ a -3 eq { - /b b y add def } if - } ifelse - } ifelse - [ 0 b b z Div round Div dup 0 le { pop 1 } if ] - a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse - setdash 1 setlinecap stroke -} def -% -/SymbolLine { % on stack [ x y x y ... - counttomark % number of elements - 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - - %% for negative SymStep we calculate the distance - SymStep 0 lt - { %XYLength SymStep div abs cvi - /nSym SymStep abs cvi def } - { /nSym XYLength SymStep div cvi def } - ifelse - 0.5 setflat - /Shift Symbol stringwidth pop 2 div def - /deltaX XLength nSym div def - /deltaY YLength nSym div def - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - nSym { - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - currentpoint translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - deltaX deltaY rmoveto - } repeat - /YA YB def /XA XB def - } repeat - curveticks - { XA YA moveto } - { XA Shift sub YA Shift sub moveto } - ifelse - gsave - curveticks - { PAngle 180 sub CorrAngle sub tickAngle add /rotAngle ED - XA YA translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - pop % delete the mark symbol -} def -% -/LineFill { % hv ------------ patch 7 ------------- - gsave - abs /hatchWidthInc ED - abs /hatchSepInc ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - 2 setlinecap - systemdict - /setstrokeadjust known { true setstrokeadjust } if - x2 x1 sub 1 add { - x1 a mul y1 moveto 0 y2 rlineto stroke - /x1 x1 1 add - hatchWidthInc 0 gt { CLW add } if - def - hatchSepInc 0 gt hatchWidthInc 0 gt or { - /a a hatchSepInc add def - CLW hatchWidthInc add SLW - } if - } repeat - grestore - pop pop } def -% -/DotFill {% on stack: dot radius - /dotRadius ED - abs CLW add /a ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform - pathbbox % llx lly urx ury of smallest bounding box - /y2 ED /x2 ED /y1 ED /x1 ED - y2 y1 sub a div 2 add cvi /Ny ED - x2 x1 sub a div 2 add cvi /Nx ED - clip - newpath - /yA y1 dotRadius add CLW add def - /xA0 x1 dotRadius add CLW add def - Ny { - /xA xA0 def - Nx { - newpath - xA yA dotRadius 0 360 arc - SolidDot { gsave fill grestore } if - stroke - xA a add /xA ED - } repeat - yA a add /yA ED - } repeat - grestore -} def -% -/PenroseFill {% on stack: scaling factor - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} - { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall - [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto - i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 - mul j l + S rmoveto}F i L j L stroke }F}F}F}F - grestore - pop pop -} def -% -/TruchetFill { % on stack: scaling factor - 10 dict begin - dup dup scale - 1 exch div round /penroseFactor ED - a 0 dtransform round exch round exch - 2 copy idtransform - exch Atan rotate - idtransform pop /a ED - .25 .25 itransform pathbbox - /y2 ED - a Div ceiling cvi /x2 ED /y1 ED - a Div cvi /x1 ED /y2 y2 y1 sub def - clip - newpath - systemdict - /setstrokeadjust known { true setstrokeadjust } if - /ma a neg def - /ha a 2 div def - /mha ha neg def - /tile { - rand dup 2 idiv 2 mul eq { 90 rotate } if - mha mha moveto ha mha lineto - ha ha lineto mha ha lineto -% closepath .1 setlinewidth stroke - contents - } def - /contents{ - 0 ha moveto ha 0 lineto - 0 mha moveto mha 0 lineto -% 1 setlinewidth stroke - } def - /dotiling { - f ma mul a f a mul { - /i exch def - f ma mul a f a mul { - /j exch def - gsave i j translate - tile stroke grestore - } for - } for - } def -% - /f 3 def - 5 srand dotiling - end % local user dict -} def -% -/BeginArrow { - ADict begin % hold it local, for end see EndArrow - /@mtrx CM def - gsave - 2 copy T - 2 index sub neg exch - 3 index sub exch Atan - rotate newpath -} def -% -/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict -% -/Arrow { - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /a ED - { 0 h T 1 -1 scale } if - w neg h moveto - 0 0 L w h L w neg a neg rlineto - gsave fill grestore -} def -% -/ArrowD { % the sides are drawn as curves (hv 20071211) - CLW mul add dup - 2 div /w ED - mul dup /h ED - mul /Inset ED - { 0 h T 1 -1 scale } if % changes the direction -% we use y=w/h^2 * x^2 as equation for the control points -% for the coordinates the arrow is seen from top to bottom -% the bottom (tip) is (0;0) - w neg h moveto % lower left of > - w 9 div 4 mul neg h 3 div 2 mul - w 9 div neg h 3 div - 0 0 curveto % tip of > - w 9 div h 3 div - w 9 div 4 mul h 3 div 2 mul - w h curveto % upper left of > - w neg Inset neg rlineto % move to x=0 and inset - gsave fill grestore -} def -% -/Tbar { - CLW mul add /z ED - z -2 div CLW 2 div moveto - z 0 rlineto stroke - 0 CLW moveto -} def -% -/Bracket { - CLW mul add dup CLW sub 2 div - /x ED mul CLW add /y ED /z CLW 2 div def - x neg y moveto - x neg CLW 2 div L x CLW 2 div L x y L stroke - 0 CLW moveto -} def -% -/RoundBracket { - CLW mul add dup 2 div - /x ED mul /y ED /mtrx CM def - 0 CLW 2 div T x y mul 0 ne { x y scale } if - 1 1 moveto - .85 .5 .35 0 0 0 curveto - -.35 0 -.85 .5 -1 1 curveto - mtrx setmatrix stroke 0 CLW moveto -} def -% -/SD { 0 360 arc fill } def -% -/EndDot { % DS is the dot size - { /z DS def } { /z 0 def } ifelse % outer or inner dimen - /b ED % the color definition - 0 z DS SD - b { 0 z DS CLW sub SD } if - 0 DS z add CLW 4 div sub - moveto -} def -% -/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { - /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto - load } if ] cvx newpath 3 1 roll T exec } def -% -/NArray { % holds the coordinates and on top of stack the showpoints boolean - /showpoints ED - counttomark 2 div dup cvi /n ED % n 2 div on stack - n eq not { exch pop } if % even numbers of points? delete one - ] aload /Points ED - showpoints not { Points aload pop } if -% { ] aload /Points ED } -% { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol -} def -% -/Line { - NArray n 0 eq not - { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def - n { Lineto } repeat - CP 4 2 roll ArrowB L pop pop - } if -} def -% -/LineToYAxis { - /Ox ED % Save the x origin value - NArray % all x-y pairs on stack - n { 2 copy moveto % go to current point - Ox exch Lineto % line to y-axis - pop % delete old x-value - } repeat -} def -% -/LineToXAxis{ - /Oy ED % Save the y origin value - NArray % all x-y pairs on stack - n 0 eq not - { n 1 eq { 0 0 /n 2 def } if - ArrowA - /n n 2 sub def - CP 2 copy moveto pop Oy Lineto - n { 2 copy moveto pop Oy Lineto } repeat - CP - 4 2 roll - ArrowB - 2 copy moveto pop Oy - L - pop pop } if -} def -% -/Arcto { - /a [ 6 -2 roll ] cvx def - a r - /arcto load stopped { 5 } { 4 } ifelse { pop } repeat - a -} def -% -/CheckClosed { - dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq - and { pop pop /n n 1 sub def } if -} def -% -/Polygon { - NArray n 2 eq { 0 0 /n 3 def } if - n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - n 2 mul -2 roll - /y0 ED /x0 ED /y1 ED /x1 ED - x1 y1 - /x1 x0 x1 add 2 div def - /y1 y0 y1 add 2 div def - x1 y1 moveto - /n n 2 sub def - n { Lineto } repeat - x1 y1 x0 y0 6 4 roll Lineto - Lineto pop pop closepath } ifelse -} def -% -/SymbolPolygon { % on stack [ x y x y ... - counttomark % number of elements - 2 add /m ED - 2 copy m 2 roll % copy last two - m 2 div cvi /n ED % n pairs - /YA ED /XA ED % the start point - n 1 sub { - /YB ED /XB ED - /XLength XB XA sub def - /YLength YB YA sub def - /PAngle YLength XLength Atan def - /XYLength XLength YLength Pyth def - /nSym XYLength SymStep Div cvi def - /Shift Symbol stringwidth pop 2 Div def - /deltaX XLength nSym Div def - /deltaY YLength nSym Div def - XA Shift sub YA Shift sub moveto - nSym { - gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if - Symbol show - grestore - deltaX deltaY rmoveto - } repeat -% XB Shift sub YB Shift sub moveto Symbol show - /YA YB def /XA XB def - } repeat - pop % delete the mark symbol -} def -% -/Diamond { - /mtrx CM def - T rotate - /h ED - /w ED - dup 0 eq { pop } { CLW mul neg - /d ED - /a w h Atan def - /h d a sin Div h add def - /w d a cos Div w add def } ifelse - mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div - /ArrowA { moveto } def - /ArrowB { } def - false Line - closepath mtrx setmatrix } def -% -/Triangle { - /mtrx CM def - translate - rotate /h ED 2 div /w ED - dup CLW mul /d ED - /h h d w h Atan sin Div sub def - /w w d h w Atan 2 div dup cos exch sin Div mul sub def - mark - 0 d w neg d 0 h w d 0 d - /ArrowA { moveto } def - /ArrowB { } def - false - Line - closepath - mtrx -% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) -% setmatrix } def - setmatrix pop -} def -% DG/SR modification end -% -/CCA { - /y ED /x ED - 2 copy y sub /dy1 ED - x sub /dx1 ED - /l1 dx1 dy1 Pyth def -} def -% -/CC { - /l0 l1 def - /x1 x dx sub def - /y1 y dy sub def - /dx0 dx1 def - /dy0 dy1 def - CCA - /dx dx0 l1 c exp mul dx1 l0 c exp mul add def - /dy dy0 l1 c exp mul dy1 l0 c exp mul add def - /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def - /x2 x l0 dx mul m mul sub def - /y2 y l0 dy mul m mul sub def - /dx l1 dx mul m mul neg def - /dy l1 dy mul m mul neg def -} def -% -/IC { - /c c 1 add def - c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse - /a a 2 mul 3 div 45 cos b exp div def - CCA - /dx 0 def - /dy 0 def -} def -% -/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def -/NC { CC x1 y1 x2 y2 x y curveto } def -/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def -/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def -/NAC { x2 y2 x y curveto CC x1 y1 } def -/EAC { x2 y2 x y ArrowB curveto pop pop } def -% -/OpenCurve { - NArray n 3 lt - { n { pop pop } repeat } - { BOC /n n 3 sub def n { NC } repeat EOC } ifelse -} def -% -/CurvePath { - %% for negative SymStep we calculate the distance - SymStep 0 lt { gsave PathLength SymStep div abs /SymStep ED grestore } if - 0.5 setflat - flattenpath /z 0 def /z0 0 def - { /y1 ED /x1 ED /y2 y1 def /x2 x1 def - x1 Shift sub y1 Shift sub moveto - gsave - curveticks - { x1 y1 translate startAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { startAngle rotate Symbol show } - ifelse - grestore /z0 z def } - { /y ED /x ED PathLength@ z z0 sub SymStep ge { - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub CorrAngle sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore /z0 z def } if - /yOld y def /xOld x def } - {} %% the lineto part - { /y y2 def /x x2 def PathLength@ - x Shift sub y Shift sub moveto - gsave - curveticks - { y yOld sub x xOld sub Atan 180 sub /rotAngle ED - x y translate rotAngle rotate - 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto - SymbolLinewidth setlinewidth stroke - } - { - x Shift sub y Shift sub moveto - rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if - Symbol show - } - ifelse - grestore - } - pathforall -% curveticks -% { gsave -% x y translate rotAngle rotate -% 0 SymbolWidth 2 div moveto 0 SymbolWidth 2 div neg lineto -% SymbolLinewidth setlinewidth stroke grestore -% } if - z -} def -% -/OpenSymbolCurve { - OpenCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/AltCurve { - { false NArray n 2 mul 2 roll - [ n 2 mul 3 sub 1 roll ] aload - /Points ED - n 2 mul -2 roll } - { false NArray } ifelse - n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse -} def -% -/AltOpenSymbolCurve { - AltCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedCurve { - NArray n 3 lt - { n { pop pop } repeat } - { n 3 gt { CheckClosed } if - 6 copy n 2 mul 6 add 6 roll - IC CC x y moveto n { NC } repeat - closepath pop pop - } ifelse -} def -% -/ClosedSymbolCurve { - ClosedCurve - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def -/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def -/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def -% -/FontDot { - DS 2 mul dup - matrix scale matrix concatmatrix exch matrix - rotate matrix concatmatrix exch - findfont exch makefont setfont -} def -% -/Rect { - x1 y1 y2 add 2 div moveto - x1 y2 lineto - x2 y2 lineto - x2 y1 lineto - x1 y1 lineto - closepath -} def -% -/OvalFrame { - x1 x2 eq y1 y2 eq or - { pop pop x1 y1 moveto x2 y2 L } - { y1 y2 sub abs x1 x2 sub abs 2 copy gt - { exch pop } { pop } ifelse - 2 div exch { dup 3 1 roll mul exch } if - 2 copy lt { pop } { exch pop } ifelse - /b ED - x1 y1 y2 add 2 div moveto - x1 y2 x2 y2 b arcto - x2 y2 x2 y1 b arcto - x2 y1 x1 y1 b arcto - x1 y1 x1 y2 b arcto - 16 { pop } repeat - closepath - } ifelse -} def -% -/Frame { - CLW mul /a ED - 3 -1 roll - 2 copy gt { exch } if - a sub /y2 ED - a add /y1 ED - 2 copy gt { exch } if - a sub /x2 ED - a add /x1 ED - 1 index 0 eq { pop pop Rect } { OvalFrame } ifelse -} def -% -/BezierNArray { - /f ED - counttomark 2 div dup cvi /n ED - n eq not { exch pop } if - n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat - f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse -} def -% -/OpenBezier { - BezierNArray - n 1 eq - { pop pop } - { ArrowA n 4 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - 6 2 roll 4 2 roll ArrowB curveto } ifelse -} def -% -/OpenSymbolBezier { - OpenBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath -} def -% -/ClosedBezier { - BezierNArray - n 1 eq - { pop pop } - { moveto n 1 sub 3 idiv - { 6 2 roll 4 2 roll curveto } repeat - closepath } ifelse -} def -% -/ClosedSymbolBezier { - /f ED % save showpoints value - 2 copy /yEnd ED /xEnd ED - counttomark -2 roll 2 copy /yStart ED /xStart ED - counttomark 2 roll - f - ClosedBezier - 0.1 setflat - /Shift Symbol stringwidth pop 2 div def - CurvePath - [ xEnd yEnd xStart yStart SymbolLine -} def -% -/BezierShowPoints { - gsave - Points aload length 2 div cvi /n ED - moveto - n 1 sub { lineto } repeat - CLW 2 div SLW [ 4 4 ] 0 setdash stroke - grestore -} def -% -/Parab { - /y0 ED /x0 ED /y1 ED /x1 ED - /dx x0 x1 sub 3 div def - /dy y0 y1 sub 3 div def - x0 dx sub y0 dy add x1 y1 ArrowA - x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def -} def -% -/Parab1 { % 1 end | 0 SP - /ySP ED /xSP ED /y1 ED /x1 ED - /dx xSP x1 sub 3 div def - /dy ySP y1 sub 3 div def - newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto - x1 ySP lineto closepath clip - currentpoint - newpath moveto - xSP dx sub ySP dy add x1 y1 ArrowA - xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB - curveto - /Points [ x1 y1 xSP ySP xSP 2 mul x1 sub y1 ] def -} def -% -/Grid { - newpath - /a 4 string def - /b ED % psk@gridlabels in pt - /c ED % { \pst@usecolor\psgridlabelcolor } - /n ED % psk@griddots - cvi dup 1 lt { pop 1 } if - /s ED % \psk@subgriddiv - s div dup 0 eq { pop 1 } if - /dy ED s div dup 0 eq { pop 1 } if % \pst@number\psyunit abs - /dx ED dy div round dy mul % \pst@number\psxunit abs - /y0 ED dx div round dx mul - /x0 ED dy div round cvi - /y2 ED dx div round cvi - /x2 ED dy div round cvi - /y1 ED dx div round cvi - /x1 ED - /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def - /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def - b 0 gt { - /z1 b 4 div CLW 2 div add def -% /Helvetica findfont b scalefont setfont - /b b .95 mul CLW 2 div add def } if - systemdict /setstrokeadjust known - { true setstrokeadjust /t { } def } - { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add - exch itransform } bind def } ifelse - gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse - /i x1 def - /f y1 dy mul n 0 gt { dy n div 2 div h mul sub } if def - /g y2 dy mul n 0 gt { dy n div 2 div h mul add } if def - x2 x1 sub w mul 1 add dup 1000 gt { pop 1000 } if - { i dx mul dup y0 moveto - b 0 gt - { gsave c i a cvs dup stringwidth pop - /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse - h 0 gt {b neg}{z1} ifelse - rmoveto show grestore } if - dup t f moveto - g t L stroke - /i i w add def - } repeat - grestore - gsave - n 0 gt - % DG/SR modification begin - Nov. 7, 1997 - Patch 1 - %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } - { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } - % DG/SR modification end - { 2 setlinecap } ifelse - /i y1 def - /f x1 dx mul n 0 gt { dx n div 2 div w mul sub } if def - /g x2 dx mul n 0 gt { dx n div 2 div w mul add } if def - y2 y1 sub h mul 1 add dup 1000 gt { pop 1000 } if - { newpath i dy mul dup x0 exch moveto - b 0 gt { gsave c i a cvs dup stringwidth pop - /z2 ED - w 0 gt {z1 z2 add neg} {z1} ifelse - h 0 gt {z1} {b neg} ifelse - rmoveto show grestore } if - dup f exch t moveto - g exch t L stroke - /i i h add def - } repeat - grestore -} def -% -/ArcArrow { - /d ED /b ED /a ED - gsave - newpath 0 -1000 moveto clip - newpath - 0 1 0 0 b - grestore - c mul - /e ED - pop pop pop r a e d PtoC y add exch x add - exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c - mul neg d -} def -% -/Ellipse { - /rotAngle ED - /mtrx CM def - T - rotAngle rotate - scale 0 0 1 5 3 roll arc - mtrx setmatrix -} def -% -/ArcAdjust { %%%% Vincent Guirardel -% given a target length (targetLength) and an initial angle (angle0) [in the stack], -% let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). -% This computes an angle t such that (x0,y0) is at distance -% targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). -% NOTE: this an absolute angle, it does not have to be added or substracted to angle0 -% contrary to TvZ's code. -% To achieve, this, one iterates the following process: start with some angle t, -% compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. -% Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. -% -% Another difference with TvZ's code is that we need d (=add/sub) to be defined. -% the value of d = add/sub is used to know on which side we have to move. -% It is only used in the initialisation of the angle before the iteration. -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Input stack: 1: target length 2: initial angle -% variables used : rx, ry, d (=add/sub) -% - /targetLength ED /angle0 ED - /x0 rx angle0 cos mul def - /y0 ry angle0 sin mul def -% we are looking for an angle t such that (x0,y0) is at distance targetLength -% from the point M(t)=(rx*cos(t),ry*sin(t))) -%initialisation of angle (using 1st order approx = TvZ's code) - targetLength 57.2958 mul - angle0 sin rx mul dup mul - angle0 cos ry mul dup mul - add sqrt div -% if initialisation angle is two large (more than 90 degrees) set it to 90 degrees -% (if the ellipse is very curved at the point where we draw the arrow, % -% the value can be much more than 360 degrees !) -% this should avoid going on the wrong side (more than 180 degrees) or go near -% a bad attractive point (at 180 degrees) - dup 90 ge { pop 90 } if - angle0 exch d % add or sub -% maximum number of times to iterate the iterative procedure: -% iterative procedure: takes an angle t on top of stack, computes a -% better angle (and put it on top of stack) - 30 { dup -% compute distance D between (x0,y0) and M(t) - dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt -% if D almost equals targetLength, we stop - dup targetLength sub abs 1e-5 le { pop exit } if -% stack now contains D t -% compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: -% M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) - exch dup cos rx mul x0 sub exch sin ry mul y0 sub -% stack contains: y(t)-y0, x(t)-x0, d - 2 index Div targetLength mul y0 add ry Div exch - 2 index Div targetLength mul x0 add rx Div -% stack contains x(t')/rx , y(t')/ry , d -% now compute t', and remove D from stack - atan exch pop - } repeat -% we don't look at what happened... in particular, if targetLength is greater -% than the diameter of the ellipse... -% the final angle will be around /angle0 + 180. maybe we should treat this pathological case... -% after iteration, stack contains an angle t such that M(t) is the tail of the arrow -% to give back the result as a an angle relative to angle0 we could add the following line: -% angle0 sub 0 exch d -% -% begin bug fix 2006-01-11 -% we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 -%(we don't want to make the ellipse turn more or less than it should)... -dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse -% end bug fix -} def -% -/EllipticArcArrow { - /d ED % is add or sub - /b ED % arrow procedure - /a1 ED % angle - gsave - newpath - 0 -1000 moveto - clip % Set clippath far from arrow. - newpath - 0 1 0 0 b % Draw arrow to determine length. - grestore -% Length of arrow is on top of stack. Next 3 numbers are junk. -% - a1 exch ArcAdjust % Angular position of base of arrow. - /a2 ED - pop pop pop - a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig - a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig - a1 cos rx mul xOrig add % - a1 sin ry mul yOrig add % -% Now arrow tip coor and base coor are on stack. - b pop pop pop pop % Draw arrow, and discard coordinates. - a2 CLW 8 div -% change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse - ArcAdjust -% resets original value of d - 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. -} def -%%------------------ tvz/DG/hv (2004-05-10) end -------------------%% -% -/Rot { CP CP translate 3 -1 roll neg rotate NET } def -% -/RotBegin { - tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } def } if - /TMatrix [ TMatrix CM ] cvx def - /a ED - a Rot /RAngle [ RAngle dup a add ] cvx def -} def -% -/RotEnd { - /TMatrix [ TMatrix setmatrix ] cvx def - /RAngle [ RAngle pop ] cvx def -} def -% -/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def -/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def -/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def -% -/Uput { - /a ED - add 2 div /h ED 2 - div /w ED - /s a sin def - /c a cos def - /b s abs c abs 2 copy gt dup - /q ED - { pop } { exch pop } ifelse def - /w1 c b div w mul def - /h1 s b div h mul def - q { w1 abs w sub dup c mul abs }{ h1 abs h sub dup s mul abs } ifelse -} def -% -/UUput { - /z ED - abs /y ED - /x ED - q { x s div c mul abs y gt }{ x c div s mul abs y gt } ifelse - { x x mul y y mul sub z z mul add sqrt z add } - { q { x s div } { x c div } ifelse abs - } ifelse - a PtoC - h1 add exch - w1 add exch -} def -% -/BeginOL { - dup (all) eq exch TheOL eq or - { IfVisible not { Visible /IfVisible true def } if } - { IfVisible { Invisible /IfVisible false def } if } ifelse -} def -% -/InitOL { - /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def - /Visible { CP OLUnit idtransform T moveto } def - /Invisible { CP OLUnit neg exch neg exch idtransform T moveto } def - /BOL { BeginOL } def - /IfVisible true def -} def -% -%%%%%%%%%%%%%%%%% tools %%%%%%%%%%%%%%%%%%%%%%%%% -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a -end -} def -% -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -end -%-----------------------------------------------------------------------------% -% -% END pstricks.pro - -%%EndProcSet -%%BeginProcSet: pst-algparser.pro 0 0 -% $Id: pst-algparser.pro 594 2011-10-31 18:13:18Z herbert $ -%% -%% PostScript prologue for PSTricks algorithm parser -%% Version 0.04, 2011/10/21 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%%-----------------------------------------------------------------------------% -% -/AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez -% -/tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin -% -% PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.13 -% -% 09/2011 DR factorial with ! added -% -% E->T|E+T -% T->FS|T*FS -% FS -> F | +FS | -FS -% F->P|F^SF|P! -% P->(E)|literal -% literal->number|var|var[E]|func(params) -% params->E|E,param -% number->TOBEFINISHED -% -%% E expression, T term, SF signed factor, F factor, P power -% -%% parser -% -%% str -% -%% C->E<condition_operators>E -%% STR index -> STR index+lenExpr -/AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def -% -%% analyze Expression List (separator , or | ) -%% STR index -> STR index+lenExpr -%% /AnalyzeListOfE { -%% { NextNonBlankChar pop AnalyzeExpr%%dup Strlen eq { exit } if NextNonBlankChar -%% NextNonBlankChar dup 0 eq { pop exit } if -%% dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if -%% pop NextNonBlankChar dup 0 eq { exit } if 124 ne { PROBLEMCONTACTBILLOU } if 1 add NextNonBlankChar 0 eq {toto} if } loop -%% AnalyzeListOfEPostHook -%% } def -/AnalyzeListOfE { - /NotFirst false def - { NextNonBlankChar pop AnalyzeExpr - NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse - dup Strlen eq { exit } if NextNonBlankChar - dup 44 ne 1 index 124 ne and - { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } - if pop 1 add } loop - AnalyzeListOfEPostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% E->T|E+T -%% STR index -> STR index+lenExpr -/AnalyzeExpr { - AnalyzePreHook AnalyzeTerm IsEndingExpr - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% T->FS|T*FS -%% STR index -/AnalyzeTerm { - AnalyzePreHook AnalyzeSignedFactor IsEndingTerm - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } - ifelse - AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% FS -> F | +FS | -FS -%% STR index -/AnalyzeSignedFactor { - AnalyzePreHook 2 copy get dup IsUnaryOp - { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } - { pop AnalyzeFactor } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% F->P|F^P|P! -%% STR index -/AnalyzeFactor { - AnalyzePreHook AnalyzePower IsEndingFactor - { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } - { { dup 33 eq%% is there a ! DR 09/2011 - { pop 1 add NextNonBlankChar pop EvalFactorial } - { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower } - ifelse - IsEndingFactor { pop exit } if } loop } - ifelse AnalyzePostHook -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% P->(E)|literal -%% STR index -/AnalyzePower { - %% depending of first char either a number, or a literal - 2 copy get dup 40 eq%%an open par - { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } - { AnalyzeLiteral } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index STR[index] -> STR index -%/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def -/AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% recognize + or - -%% chr -> T/F -/IsUnaryOp { dup 43 eq exch 45 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadNumber { - exch dup 3 -1 roll dup 3 1 roll - %%read mantissa - { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop - dup 101 eq exch 69 eq or - %%% there is a "e" or "E" -> read exponant - { 1 add 2 copy get dup IsUnaryOp - { pop 1 add 2 copy get } if - { IsNumber not { exit } if 1 add 2 copy get } loop } - if - dup 4 1 roll - 3 -1 roll exch 1 index sub getinterval -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a number can contain only : 0123456789. -%% chr -> T/F -/IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index number -%% a number can be of the form [0-9]*.[0-9]*\([eE][+-]?[0-9]+\)? -%% STR index -> STR index' number -/ReadCondOp { - NextNonBlankChar 1 index 4 1 roll - { IsCondOp not { exit } if 1 add 2 copy get } loop - 2 copy 5 -1 roll - exch 1 index sub getinterval 3 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can contain only : 0123456789. -%% chr -> T/F -/IsLiteral {% - dup 48 ge exch dup 57 le 3 -1 roll and exch - dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch - dup 97 ge exch 122 le and or } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% a literal can be of the form [a-zA-Z][a-zA-Z0-9]*\(\((Expression)\)|\(\[Expression\]\)\)? -%% STR index -> literal STR index' nextchr -/ReadLiteral { - exch dup 3 -1 roll dup 3 1 roll - %%read literal core - { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop - 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a clpar -%% STR index -> STR index STR[index] T/F -/IsEndingExpr {% - 2 copy dup Strlen eq - %% if end of str is reached -> end ! - { pop pop 0 true } - %% ending chr -> clpar, comma, |, <, >, =, !, - {get dup dup 41 eq - exch dup 124 eq - exch dup 93 eq - exch dup 44 eq - exch dup 30 eq - exch dup 60 ge exch 62 le and or or or or or} - ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or a +- -%% STR index -> STR index STR[index] T/F -/IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or */ -%% STR index -> STR index STR[index] T/F -/IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% expr is ended by end of str or ^ -%% STR index -> STR index STR[index] T/F -/IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% STR index -> STR index STR[index] -/NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def -/neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def -%%%%%%%%%%%%%%%%%%%%%%%% -%% DEBUG -/BRK {false} def -/BRKtrue {/BRK true def} def -/BRKStop {BRK {BRKtoto} if } def -/BRKEvalStop {BRK exch if } def -/BRKBRK2true {BRK {BRK2true} if } def -/BRK2 {false} def -/BRK2true {/BRK2 true def} def -/BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def -end -% -%-------------------------------------------------------------------------------% -% -/tx@AlgToPs 12 dict def tx@AlgToPs begin -% -%% algExpr -> PSVector -/AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def -/EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def -/InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def -/Strlen 0 def -/EvalListOfExpr {} def% -/EvalNumber {% - ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx - exch 1 add array astore def NextNonBlankChar pop } def -/EvalAddSub {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def -} def -/EvalMulDiv {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def -} def -/EvalPower {% - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll - pop /exp cvx exch 1 add array astore def -} def -/EvalFactorial {% DR 09/2011 - /ExpressionVector ExpressionVector aload length - /fact cvx exch 1 add array astore def -} def -/EvalLiteral {% - ReadLiteral - dup 40 eq%%% there is an open par -> function call - { pop 2 index - dup (Sum) eq { EvalSum } - { dup (IfTE) eq { EvalCond } - { dup (Derive) eq { pop EvalDerive } - { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc - /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx - exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } - { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def - dup 91 eq%%% there is an open bracket -> vector element - { pop 1 add NextNonBlankChar pop AnalyzeExpr - /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } - { pop NextNonBlankChar pop } - ifelse} - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% the derive function : Derive(n,f(x)) -%% firstparindex lastparindex -> -/EvalDerive { - %% manage the function descripiton - 1 add ReadNumber 3 1 roll NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - 1 add NextNonBlankChar pop - 3 -1 roll cvi - dup 0 eq - { pop AnalyzeExpr 3 -1 roll pop 1 add } - { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll - { (x) tx@Derive begin Derive end } repeat - ExpressionVector exch /ExpressionVector [] def - AlgToPs aload length - /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def - l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add - 1 index length /Strlen exch def } ifelse -} def -/EvalSum {% - pop 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll - 5 -1 roll 4 add array astore def - %% keep ExpressionVector for later and create a new one for internal Sum computation - ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def - 1 add NextNonBlankChar pop AnalyzeExpr - %% add each term - /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def - /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add - array astore def 3 -1 roll pop 1 add -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -/EvalCond {% - pop 1 add AnalyzeCond NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - ExpressionVector 3 1 roll /ExpressionVector [] def - 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def - NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add AnalyzeExpr - NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if - ExpressionVector - /ExpressionVector 6 -1 roll aload length dup - 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def - 1 add 3 -1 roll pop -} def -%% CondOp STR index -/EvalCondOp {% - 3 -1 roll - dup (=) eq { /eq } {% - dup (<) eq { /lt } {% - dup (>) eq { /gt } {% - dup (>=) eq { /ge } {% - dup (<=) eq { /ge } {% - dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } - ifelse } ifelse } ifelse } ifelse } ifelse } ifelse - cvx exch pop - /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def -/EvalUnaryOp { - 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook {} bind def -/PreEvalHook {} bind def -/AnalyzeListOfEPostHook {} bind def -/AnalyzePostHook {} def -/RollOp { 3 1 roll } bind def -end %tx@CoreAnalyzerDict -% -%--------------------------------------------------------------------% -% -/tx@Derive 41 dict def tx@Derive begin -%%increase ^^ for each function added -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable -> PSVector -/Derive {% - 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end -} def -/Strlen 0 def -/InitParser { dup length /Strlen exch def 0 } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% algExpr variable index -> PSVector -/DeriveIndexed {% - 3 1 roll 10240 string 3 1 roll 0 3 1 roll - /Variable exch def - tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u,v)'=-(u',v') -/EvalListOfExpr {% - 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe - 2 copy 7 -1 roll dup length 4 1 roll putinterval add - 6 -2 roll pop pop - 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (-u)'=-(u') -/EvalUnaryOp { - 4 -2 roll 4 index (0) eq - { (0) StrConcat 7 -1 roll pop } - { 7 -1 roll 45 eq - { AddSub AddOpPar true } { false } ifelse - 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (number)'=0 -/EvalNumber { ReadNumber (0) 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u+v)'=u'+v' -/EvalAddSub {% - 7 index dup (0) eq - { pop true }%% du=0 nothing added - { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } - ifelse - 5 index dup (0) eq - { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 - { exch - { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added - { 5 -2 roll 7 index 43 eq%%something yet added - { AddAdd false } { AddSub AddOpPar true } ifelse } - ifelse 11 1 roll - 3 -1 roll StrConcat 10 -1 roll { AddClPar } if - 2 copy pop 0 6 2 roll GetIntervalNewStr } - ifelse - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)' or (u/v)' -/EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u*v)'=u'*v+u*v' -/EvalMul {% - 4 -2 roll 7 index dup (0) eq - { pop false }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if - true }%%du!=0 - ifelse - 5 1 roll 5 index (0) eq - { 5 -1 roll not { (0) StrConcat } if }%%dv=0 - { 5 -1 roll { AddAdd } if - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - }%%dv!=0 - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u/v)'=(u'*v-u*v')/v^2 -/EvalDiv {% - 4 -2 roll - 4 index (0) eq%%dv=0 -> u'/v - { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } - { 7 index dup (0) eq - { pop }%%du=0 - { (1) eq%%du=1 - { false } - { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse - 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 - ifelse - AddSub - 4 index (1) eq - { 8 index StrConcat } - { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } - ifelse - %}%%dv!=0 - 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar - AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } - ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str1 index str2 -> str1 index -/StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def -/GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (u^v)'=(u^v)'=u'vu^(v-1)+v'u^(v)ln(u) -/EvalPower {% - 4 -2 roll 7 index (0) eq - {%%if du=0 then (u^v)'=v'ln(u)u^v - 4 index (0) eq - { (0) StrConcat }%%if dv=0 then (u^v)'=0 - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if - 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if - AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse - } - {%%du!=0 - 4 index (0) eq - {%%if dv=0 then (u^v)'=vu'u^(v-1) - 5 index dup IsStrNumber - { dup (0) eq - { StrConcat } - { dup dup (1) eq exch (1.0) eq or - { StrConcat } - { StrConcat - 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 - { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 - (*\() StrConcat 8 index StrConcat (\)) StrConcat - 5 index dup dup (2) eq exch (2.0) eq or - { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } - { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)) StrConcat } ifelse - } - {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) - 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if - AddOpPar 5 index StrConcat (\)*\() StrConcat - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (-1\)+\() StrConcat - 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if - 8 index StrConcat (\)^\() StrConcat - 5 index StrConcat (\)*ln\() StrConcat - 8 index StrConcat AddClPar - } ifelse - } ifelse - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for factorial ! only cst => null derivative -/EvalFactorial {% DR 09/2011 - 4 index (0) eq - { (0) mark 8 -2 roll cleartomark 2 index 7 index dup 4 index exch sub getinterval exch 6 2 roll } - { DERIVATIVE_ENGINE_ERROR_no_variable_in_factorial } ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% str -> true/false -/IsStrNumber {% - true exch - { dup 48 lt exch dup 57 gt 3 -1 roll or - exch dup 46 ne%%. - exch dup 43 ne%%+ - exch 45 ne%%- - and and and { pop false } if } forall -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalLiteral {% - ReadLiteral dup 40 eq%%% there is an open par -> function call - { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } - { dup 91 eq%%% there is an open bracket -> vector element - { DERIVATIVE_ENGINE_ERROR_vector_not_yet_implemented } - { pop EvalVariable } - ifelse } - ifelse -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% first last parpos Expr[first:parpos-1] -> -/EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% (f(u))'=u'f'(u) -/EvalFunc { - 4 2 roll 4 index (1) ne - { AddOpPar 4 index StrConcat (\)*) StrConcat } if - (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Func derivative -> Eval<func> -/EvalFunc_sin {% - PreCommonFunc - { (cos\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_cos {% - PreCommonFunc - { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_tan {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_asin {% - PreCommonFunc - { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_acos {% - PreCommonFunc - { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_atg {% - PreCommonFunc - { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_ln {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_exp {% - PreCommonFunc - { (exp\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_EXP {% - PreCommonFunc - { (EXP\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_sqrt {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Fact {% - PreCommonFunc { DERIVATIVE_ENGINE_ERROR_no_variable_expression_in_Fact } if - PostCommonFunc } def -/EvalFunc_sh {% - PreCommonFunc - { (ch\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_ch {% - PreCommonFunc - { (sh\() StrConcat 5 index StrConcat AddClPar } if - PostCommonFunc } def -/EvalFunc_th {% - PreCommonFunc - { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argsh {% - PreCommonFunc - { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argch {% - PreCommonFunc - { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if - PostCommonFunc } def -/EvalFunc_Argth {% - PreCommonFunc - { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if - PostCommonFunc } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -/PreCommonFunc { - 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop - 4 2 roll 4 index (0) eq - { (0) StrConcat false } - { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse -} def -/PostCommonFunc { - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -/EvalFunc_Derive {% - 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs - 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add - 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval - exch 6 2 roll } def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_Sum {% - 1 add NextNonBlankChar pop - %% read the variable name - ReadLiteral pop 3 -1 roll pop NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if - %% read the initial value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if - %% read the increment value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if - %% read the limit value - 1 add NextNonBlankChar pop ReadNumber pop - 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if - 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat - 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% literal switch -> func call, vector, variables -/EvalFunc_IfTE {% - 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond - NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if - 1 add NextNonBlankChar pop dup 5 1 roll - AnalyzeExpr NextNonBlankChar - 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if - 1 add NextNonBlankChar pop - AnalyzeExpr 1 add NextNonBlankChar pop - 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat - 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar - 2 copy pop 0 6 2 roll GetIntervalNewStr - mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% advance in str until a comma is found (no error detection!) -%% str index -> str index' -/SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Convert to radians if trigo function call -%% (name) -> -/TrigoFunc { - dup (cos) eq 1 index (sin) eq or exch (tan) eq or - { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add - array astore def - } if -} def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% No derivative for condition.... -/EvalCondOp { 3 -1 roll pop } bind def -/PutIntervalOneAdd {putinterval 1 add} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddOpPar {2 copy (\() PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add close parenthesis in string at the given index -%% str index -> str index+1 -/AddClPar {2 copy (\)) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add 0 in string at the given index -%% str index -> str index+1 -/AddZero {2 copy (0) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddMul {2 copy (*) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add open parenthesis in string at the given index -%% str index -> str index+1 -/AddDiv {2 copy (/) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a plus sign in string at the given index -%% str index -> str index+1 -/AddAdd {2 copy (+) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a minus sign in string at the given index -%% str index -> str index+1 -/AddSub {2 copy (-) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% Add a pipe sign in string at the given index -%% str index -> str index+1 -/AddPipe {2 copy (|) PutIntervalOneAdd} bind def -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% H O O K S -/AnalyzePreHook { dup 5 1 roll } bind def -/PreEvalHook {} def -/AnalyzePostHook { 7 -1 roll pop } bind def -/AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def -/RollOp { 5 1 roll } bind def -end%%%tx@CoreAnalyzerDict -/tx@AddMathFunc 12 dict def tx@AddMathFunc begin -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% NEW FUNC -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -%% function arcsine in radians asin(x)=atan(x/sqrt(1-x^2)) -%% x -> theta -/asin {% - dup abs 1 gt { EQDFasinrangeerror } if - dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad -} def -%% function arccosine in radians acos(x)=atan(sqrt(1-x^2)/x) -%% x -> theta -/acos {% - dup abs 1 gt { EQDFacosrangeerror } if - dup dup mul 1 exch sub sqrt exch atan DegtoRad -} def -%% function arctangent in radians -%% x -> theta -/atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def -%% HYPERBOLIC FUNCTIONS -/sh { dup Ex exch neg Ex sub 2 div } def -/ch { dup Ex exch neg Ex add 2 div } def -/th { dup sh exch ch div } def -/Argsh { dup dup mul 1 add sqrt add ln } def -/Argch { dup dup mul 1 sub sqrt add ln } def -/Argth { dup 1 add exch 1 exch sub div ln 2 div } def -%% modified exponential funtion for 0 -%% x n -> x^n -/Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def -%% modified exponential funtion for 0 -%% x -> e^x -/Ex { Euler exch exp } bind def -%% -%% factorial function -%% n -> n! -/Fact { 1 exch 2 exch 1 exch { mul } for } bind def -/fact { Fact } bind def -/! { Fact } bind def -end -% -% END pst-algparser.pro - -%%EndProcSet -%%BeginProcSet: pst-tools.pro 0 0 -% $Id: pst-tools.pro 622 2012-01-01 15:36:14Z herbert $ -% -%% PostScript tools prologue for pstricks.tex. -%% Version 0.02, 2012/01/01 -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -% -/Pi2 1.57079632679489661925640 def -/factorial { % n on stack, returns n! - dup 0 eq { 1 }{ - dup 1 gt { dup 1 sub factorial mul } if } - ifelse } def -% -/MoverN { % m n on stack, returns the binomial coefficient m over n - 2 dict begin - /n exch def /m exch def - n 0 eq { 1 }{ - m n eq { 1 }{ - m factorial n factorial m n sub factorial mul div } ifelse } ifelse - end -} def -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% subroutines for complex numbers, given as an array [a b] -% which is a+bi = Real+i Imag -% -/cxadd { % [a1 b1] [a2 b2] = [a1+a2 b1+b2] - dup 0 get % [a1 b1] [a2 b2] a2 - 3 -1 roll % [a2 b2] a2 [a1 b1] - dup 0 get % [a2 b2] a2 [a1 b1] a1 - 3 -1 roll % [a2 b2] [a1 b1] a1 a2 - add % [a2 b2] [a1 b1] a1+a2 - 3 1 roll % a1+a2 [a2 b2] [a1 b1] - 1 get % a1+a2 [a2 b2] b1 - exch 1 get % a1+a2 b1 b2 - add 2 array astore -} def -% -/cxneg { % [a b] - dup 1 get % [a b] b - exch 0 get % b a - neg exch neg % -a -b - 2 array astore -} def -% -/cxsub { cxneg cxadd } def % same as negative addition -% -% [a1 b1][a2 b2] = [a1a2-b1b2 a1b2+b1a2] = [a3 b3] -/cxmul { % [a1 b1] [a2 b2] - dup 0 get % [a1 b1] [a2 b2] a2 - exch 1 get % [a1 b1] a2 b2 - 3 -1 roll % a2 b2 [a1 b1] - dup 0 get % a2 b2 [a1 b1] a1 - exch 1 get % a2 b2 a1 b1 - dup % a2 b2 a1 b1 b1 - 5 -1 roll dup % b2 a1 b1 b1 a2 a2 - 3 1 roll mul % b2 a1 b1 a2 b1a2 - 5 -2 roll dup % b1 a2 b1a2 b2 a1 a1 - 3 -1 roll dup % b1 a2 b1a2 a1 a1 b2 b2 - 3 1 roll mul % b1 a2 b1a2 a1 b2 a1b2 - 4 -1 roll add % b1 a2 a1 b2 b3 - 4 2 roll mul % b1 b2 b3 a1a2 - 4 2 roll mul sub % b3 a3 - exch 2 array astore -} def -% -% [a b]^2 = [a^2-b^2 2ab] = [a2 b2] -/cxsqr { % [a b] square root - dup 0 get exch 1 get % a b - dup dup mul % a b b^2 - 3 -1 roll % b b^2 a - dup dup mul % b b^2 a a^2 - 3 -1 roll sub % b a a2 - 3 1 roll mul 2 mul % a2 b2 - 2 array astore -} def -% -/cxsqrt { % [a b] -% dup cxnorm sqrt /r exch def -% cxarg 2 div RadtoDeg dup cos r mul exch sin r mul cxmake2 - cxlog % log[a b] - 2 cxrdiv % log[a b]/2 - aload pop exch % b a - 2.781 exch exp % b exp(a) - exch cxconv exch % [Re +iIm] exp(a) - cxrmul % -} def -% -/cxarg { % [a b] - aload pop % a b - exch atan % arctan b/a - DegtoRad % arg(z)=atan(b/a) -} def -% -% log[a b] = [a^2-b^2 2ab] = [a2 b2] -/cxlog { % [a b] - dup % [a b][a b] - cxnorm % [a b] |z| - log % [a b] log|z| - exch % log|z|[a b] - cxarg % log|z| Theta - cxmake2 % [log|z| Theta] -} def -% -% square of magnitude of complex number -/cxnorm2 { % [a b] - dup 0 get exch 1 get % a b - dup mul % a b^2 - exch dup mul add % a^2+b^2 -} def -% -/cxnorm { % [a b] - cxnorm2 sqrt -} def -% -/cxconj { % conjugent complex - dup 0 get exch 1 get % a b - neg 2 array astore % [a -b] -} def -% -/cxre { 0 get } def % real value -/cxim { 1 get } def % imag value -% -% 1/[a b] = ([a -b]/(a^2+b^2) -/cxrecip { % [a b] - dup cxnorm2 exch % n2 [a b] - dup 0 get exch 1 get % n2 a b - 3 -1 roll % a b n2 - dup % a b n2 n2 - 4 -1 roll exch div % b n2 a/n2 - 3 1 roll div % a/n2 b/n2 - neg 2 array astore -} def -% -/cxmake1 { 0 2 array astore } def % make a complex number, real given -/cxmake2 { 2 array astore } def % dito, both given -% -/cxdiv { cxrecip cxmul } def -% -% multiplikation by a real number -/cxrmul { % [a b] r - exch aload pop % r a b - 3 -1 roll dup % a b r r - 3 1 roll mul % a r b*r - 3 1 roll mul % b*r a*r - exch 2 array astore % [a*r b*r] -} def -% -% division by a real number -/cxrdiv { % [a b] r - 1 exch div % [a b] 1/r - cxrmul -} def -% -% exp(i theta) = cos(theta)+i sin(theta) polar<->cartesian -/cxconv { % theta - RadtoDeg dup sin exch cos cxmake2 -} def - -%%%%% ### bubblesort ### -%% syntax : array bubblesort --> array2 trie par ordre croissant -%% code de Bill Casselman -%% http://www.math.ubc.ca/people/faculty/cass/graphics/text/www/ -/bubblesort { % on stack must be an array [ ... ] -4 dict begin - /a exch def - /n a length 1 sub def - n 0 gt { - % at this point only the n+1 items in the bottom of a remain to - % the sorted largest item in that blocks is to be moved up into - % position n - n { - 0 1 n 1 sub { - /i exch def - a i get a i 1 add get gt { - % if a[i] > a[i+1] swap a[i] and a[i+1] - a i 1 add - a i get - a i a i 1 add get - % set new a[i] = old a[i+1] - put - % set new a[i+1] = old a[i] - put - } if - } for - /n n 1 sub def - } repeat - } if - a % return the sorted array -end -} def -% -/concatstringarray{ % [(a) (b) ... (z)] --> (ab...z) 20100422 - 0 1 index { length add } forall - string - 0 3 2 roll - { 3 copy putinterval length add }forall - pop -} bind def -% -/dot2comma {% on stack a string (...) - 2 dict begin - /Output exch def - 0 1 Output length 1 sub { - /Index exch def - Output Index get 46 eq { Output Index 44 put } if - } for - Output - end -} def -% -%-----------------------------------------------------------------------------% -% END pst-tools.pro - -%%EndProcSet -%%BeginProcSet: pst-dots.pro 0 0 -% $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ -% -%% PostScript prologue for pstricks.tex. -%% Version 2.02, 2009/06/16 -%% -%% For distribution, see pstricks.tex. -%% -%% Timothy Van Zandt <tvz@Princeton.EDU> -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -%% -%% Modified by Etienne Riga - Dec. 16, 1999 -%% Modified by Etienne Riga - 2005/01/01 (er) -%% to add /Diamond, /SolidDiamond and /BoldDiamond -%% Modified by Herbert Voss (hv) - 2008/04/17 -% -10 dict dup begin % hold local - /FontType 3 def - /FontMatrix [.001 0 0 .001 0 0] def -% /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv - /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph - /Encoding 256 array def - 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef - Encoding % replace with given dot names - dup (b) 0 get /Bullet put % get the numerical position of b in ASCII -% % and save /Bullet at this place in Encoding - dup (c) 0 get /Circle put - dup (C) 0 get /BoldCircle put % 67 - dup (u) 0 get /SolidTriangle put - dup (t) 0 get /Triangle put - dup (T) 0 get /BoldTriangle put - dup (r) 0 get /SolidSquare put - dup (s) 0 get /Square put - dup (S) 0 get /BoldSquare put - dup (q) 0 get /SolidPentagon put - dup (p) 0 get /Pentagon put - dup (P) 0 get /BoldPentagon put -%%% - dup (k) 0 get /Asterisk put - dup (K) 0 get /BoldAsterisk put - dup (J) 0 get /SolidAsterisk put - dup (h) 0 get /Hexagon put - dup (H) 0 get /BoldHexagon put - dup (G) 0 get /SolidHexagon put - dup (f) 0 get /Octogon put % 2008-04-18 hv - dup (F) 0 get /BoldOctogon put % 2008-04-18 hv - dup (g) 0 get /SolidOctogon put % 2008-04-18 hv - dup (a) 0 get /Add put - dup (A) 0 get /BoldAdd put % 65 - dup (x) 0 get /Mul put - dup (X) 0 get /BoldMul put - dup (m) 0 get /Oplus put - dup (M) 0 get /BOplus put - dup (e) 0 get /SolidOplus put - dup (n) 0 get /Otimes put - dup (N) 0 get /BOtimes put - dup (E) 0 get /SolidOtimes put - dup (i) 0 get /Bar put - dup (I) 0 get /BoldBar put - dup (l) 0 get /SolidDiamond put - dup (d) 0 get /Diamond put - (D) 0 get /BoldDiamond put -%%% -/CharProcs 47 dict def -CharProcs begin - /CirclePath {0 0 500 0 360 arc closepath} def - /Bullet {CirclePath fill} def - /Circle {CirclePath .9 .9 scale CirclePath eofill} def - /BoldCircle {CirclePath .8 .8 scale CirclePath eofill} def - /TrianglePath {0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath} def - /SolidTriangle {TrianglePath fill} def - /Triangle {TrianglePath .85 .85 scale TrianglePath eofill} def - /BoldTriangle {TrianglePath .7 .7 scale TrianglePath eofill} def - /SquarePath {-450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto closepath} def - /SolidSquare {SquarePath fill} def - /Square {SquarePath .89 .89 scale SquarePath eofill} def - /BoldSquare {SquarePath .78 .78 scale SquarePath eofill} def - /PentagonPath { - -337.8 -465 moveto 337.8 -465 lineto 546.6 177.6 lineto - 0 574.7 lineto -546.6 177.6 lineto closepath - } def - /SolidPentagon {PentagonPath fill} def - /Pentagon {PentagonPath .89 .89 scale PentagonPath eofill} def - /BoldPentagon {PentagonPath .78 .78 scale PentagonPath eofill} def -%-------------- hv begin 2004/07/25 from: er 2003/03/24 - /HexagonPath { - 0 550 moveto -476 275 lineto -476 -275 lineto - 0 -550 lineto 476 -275 lineto 476 275 lineto closepath - } def - /SolidHexagon {HexagonPath fill} def - /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def - /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def -% 2008-04-18 hv - /OctogonPath { - 550 dup 22.5 tan mul dup neg dup add /xMove exch def - exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def - /SolidOctogon { OctogonPath fill } def - /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def - /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def -% - /AsteriskPath { - 20 0 moveto 10 250 180 500 0 500 curveto - -180 500 -10 250 -20 0 curveto closepath - } def - /Asterisk { - AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath - 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill - } def -% - /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def - /BoldAsteriskPath { - 50 30 cos 100 mul moveto Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp 60 rotate Basterp - 60 rotate Basterp closepath - } def - /BoldAsterisk {BoldAsteriskPath fill} def - /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def - /CrossPath { - 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto - -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto - 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath - } def - /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto - -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto - 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath - } def - /Add {CrossPath fill} def - /Mul {45 rotate CrossPath fill} def - /BoldAdd {BoldCrossPath fill} def - /BoldMul {45 rotate BoldCrossPath fill} def - /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def - /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def - /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def - /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def - /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def - /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def - /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def - /Bar {BarPath fill} def - /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def - /BoldBar {BoldBarPath fill} def - /DiamondPath {0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto 428.5 0 lineto closepath} def - /SolidDiamond {DiamondPath fill} def - /Diamond {DiamondPath .865 .865 scale DiamondPath eofill} def - /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def -%%% - /.notdef { } def -end -% -/BuildGlyph { - exch - begin -% Metrics 1 index get exec 0 - 0 0 -% BBoxes 3 index get exec - -1000 -1000 1000 1000 -% -571.5 -742.5 571.5 742.5 - setcachedevice - CharProcs begin load exec end - end -} def -% -/BuildChar { - 1 index /Encoding get exch get - 1 index /BuildGlyph get exec -} bind def -% -end -/PSTricksDotFont exch definefont pop -% -%% end - -%%EndProcSet -%%BeginProcSet: pst-node.pro 0 0 -% $Id: pst-node.pro 645 2012-02-12 09:09:51Z herbert $ -%% -%% PostScript prologue for pst-node.tex. -%% Version 1.13, 2011/11/21. -%% -%% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives -%% in directory macros/latex/base/lppl.txt. -% -/tx@NodeDict 400 dict def tx@NodeDict begin -tx@Dict begin % from main pstricks dict - /T /translate load def - /CP /currentpoint load def -end -/NewNode { % on stack: { x y } boolean N@name type InitXnode - gsave - NodeScale % a bugfix for xelatex, it's empty for dvips - /next exch def % { x y } boolean N@name type - dict dup % { x y } boolean N@name dict dict - 3 1 roll def % { x y } boolean dict N@name dict def - exch { dup 3 1 roll def } if % { x y } dict boolean - begin % { x y } dict begin - tx@Dict begin - STV CP T exec % set scaling - end - /NodeMtrx CM def % save CM - next % InitXNode - end - grestore -} def -% -/InitPnode { - /Y ED /X ED - /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -% -/InitCnode { - /r ED /Y ED /X ED - /NodePos { NodeSep r add dup Cos mul exch Sin mul } def -} def -% -/GetRnodePos { - Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def } ifelse - Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } ifelse - dx Sin mul abs dy - Cos mul abs gt { dy Cos mul Sin div dy } { dx dup Sin mul Cos Div } ifelse -} def -% -/InitRnode { - /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub /u ED - /NodePos { GetRnodePos } def -} def -% -/DiaNodePos { - w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup - Cos mul exch Sin mul -} def -% -/TriNodePos { - Sin s lt - { d NodeSep sub dup Cos mul Sin Div exch } - { w h mul w Sin mul h Cos abs mul add Div - NodeSep add dup Cos mul exch Sin mul - } ifelse -} def -% -/InitTriNode { - sub 2 div exch - 2 div exch - 2 copy T - 2 copy 4 index index /d ED - pop pop pop pop - -90 mul rotate - /NodeMtrx CM def - /X 0 def /Y 0 def - d sub abs neg /d ED - d add /h ED - 2 div h mul h d sub Div /w ED - /s d w Atan sin def - /NodePos { TriNodePos } def -} def -% -/OvalNodePos { - /ww w NodeSep add def - /hh h NodeSep add def - Sin ww mul Cos hh mul Atan dup cos ww mul exch sin hh mul -} def -% -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -% -/XYPos { - dup sin exch cos Do - /Cos ED /Sin ED /Dist ED - Cos 0 gt - { Dist Dist Sin mul Cos div } - { Cos 0 lt - { Dist neg Dist Sin mul Cos div neg } - { 0 Dist Sin mul } ifelse - } ifelse - Do -} def -% -/GetEdge { - dup 0 eq - { pop begin 1 0 NodeMtrx dtransform - CM idtransform - exch atan sub - dup - sin /Sin ED - cos /Cos ED - /NodeSep ED - NodePos NodeMtrx dtransform CM idtransform end } - { 1 eq {{exch}} {{}} ifelse /Do ED pop XYPos } ifelse -} def -% -/AddOffset { - 1 index 0 eq - { pop pop } - { 2 copy 5 2 roll cos mul add 4 1 roll sin mul sub exch } ifelse -} def -% -/GetEdgeA { - NodeSepA AngleA NodeA NodeSepTypeA GetEdge - OffsetA AngleA AddOffset - yA add /yA1 ED - xA add /xA1 ED -} def -% -/GetEdgeB { - NodeSepB AngleB NodeB NodeSepTypeB GetEdge - OffsetB AngleB AddOffset - yB add /yB1 ED - xB add /xB1 ED -} def -% -/GetArmA { - ArmTypeA 0 eq - { /xA2 ArmA AngleA cos mul xA1 add def - /yA2 ArmA AngleA sin mul yA1 add def } - { ArmTypeA 1 eq {{exch}} {{}} ifelse - /Do ED - ArmA AngleA XYPos OffsetA AngleA AddOffset - yA add /yA2 ED - xA add /xA2 ED } ifelse -} def -% -/GetArmB { - ArmTypeB 0 eq - { /xB2 ArmB AngleB cos mul xB1 add def - /yB2 ArmB AngleB sin mul yB1 add def } - { ArmTypeB 1 eq {{exch}} {{}} ifelse - /Do ED - ArmB AngleB XYPos OffsetB AngleB AddOffset - yB add /yB2 ED - xB add /xB2 ED } ifelse -} def -% -/InitNC { - /b ED /a ED % second and first node - /NodeSepTypeB ED /NodeSepTypeA ED - /NodeSepB ED /NodeSepA ED - /OffsetB ED /OffsetA ED - tx@NodeDict a known tx@NodeDict b known and dup { - /NodeA a load def - /NodeB b load def - NodeA GetCenter /yA ED /xA ED - NodeB GetCenter /yB ED /xB ED } if -} def -% -/LPutLine { - 4 copy - 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED - 1 t sub mul - 3 1 roll 1 t sub mul - 4 1 roll t mul add /Y ED - t mul add /X ED -} def -% -/LPutLines { - mark LPutVar counttomark 2 div 1 sub /n ED -% t floor dup n gt - t floor dup n ge % to allow npos<= hv 2008-08-14 - { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse - cvi 2 mul { pop } repeat - LPutLine - cleartomark -} def -% -/BezierMidpoint { - /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED /t ED - /cx x1 x0 sub 3 mul def - /cy y1 y0 sub 3 mul def - /bx x2 x1 sub 3 mul cx sub def - /by y2 y1 sub 3 mul cy sub def - /ax x3 x0 sub cx sub bx sub def - /ay y3 y0 sub cy sub by sub def - ax t 3 exp mul bx t t mul mul add - cx t mul add x0 add ay t 3 exp mul - by t t mul mul add cy t mul add - y0 add 3 ay t t mul mul mul 2 - by t mul mul add cy add 3 ax t t mul mul mul - 2 bx t mul mul add cx add atan /NAngle ED - /Y ED /X ED -} def -% -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit -} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd -} def -/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def } def -/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def -GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { -LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { -LPutVar VPutLine } def LPutVar } def -% -/NCLine { - NCCoor - tx@Dict begin - ArrowA CP 4 2 roll - ArrowB - lineto pop pop - end -} def -% -/NCLines { - false NArray - n 0 eq - { NCLine } - { 2 copy yA sub exch xA sub Atan /AngleA ED - n 2 mul dup index exch index yB sub exch xB sub - Atan /AngleB ED - GetEdgeA GetEdgeB - /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 yA1 ] cvx def - mark LPutVar - tx@Dict begin false Line end - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def - } ifelse -} def -% -/NCCurve { - GetEdgeA - GetEdgeB - xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -% -/NCAngles { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform pop - xB2 yB2 mtrx transform exch pop - mtrx itransform - /y0 ED /x0 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def } def -% -/NCAngle { - GetEdgeA GetEdgeB GetArmB - /mtrx AngleA matrix rotate def - xB2 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform - /y0 ED /x0 ED - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 x0 y0 xA1 yA1 - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCBar { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx itransform pop - xB2 yB2 mtrx itransform pop - sub dup 0 mtrx transform - 3 -1 roll 0 gt - { /yB2 exch yB2 add def /xB2 exch xB2 add def } - { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse - mark - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -/NCDiag { - /lineAngle ED - GetEdgeA GetEdgeB GetArmA GetArmB mark - lineAngle abs 0 gt { - /xTemp xA2 10 add def - /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def - /dY1 yTemp yA2 sub def - /dX1 xTemp xA2 sub def - /dY2 yB2 yB1 sub def - /dX2 xB2 xB1 sub def - dX1 abs 0.01 lt { - /m2 dY2 dX2 div def - /xB2 xA2 def - /yB2 xA2 xB1 sub m2 mul yB1 add def - }{ - dX2 abs 0.01 lt { - /m1 dY1 dX1 div def - /xB2 xB1 def - /yB2 xB1 xA2 sub m1 mul yA2 add def - }{% - /m1 dY1 dX1 div def - /m2 dY2 dX2 div def - /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def - /yB2 xB2 xA2 sub m1 mul yA2 add def - } ifelse - } ifelse - } if - ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetEdgeB GetArmA GetArmB mark -% ArmB 0 ne { xB1 yB1 } if -% xB2 yB2 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCDiagg { - /lineAngle ED - GetEdgeA GetArmA - lineAngle abs 0 gt - { lineAngle } - { yB yA2 sub xB xA2 sub Atan 180 add } ifelse - /AngleB ED - GetEdgeB mark - lineAngle abs 0 gt { - /dY2 yA2 yA1 sub def - /dX2 xA2 xA1 sub def - lineAngle abs 90 eq { - /m2 dY2 dX2 div def - /yA2 xB xA2 sub m2 mul yA2 add def - /xA2 xB def - }{ - /m1 lineAngle dup sin exch cos div def % tan alpha - dX2 abs 0.01 lt { - /yA2 xA1 xB sub m1 mul yB add def - /xA2 xA1 def - }{% - /m2 dY2 dX2 div def - /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def - /yA2 xA2 xB sub m1 mul yB add def - } ifelse - } ifelse - } if - xB1 yB1 xA2 yA2 - ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -% -% GetEdgeA GetArmA -% yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED -% GetEdgeB -% mark -% xB1 yB1 xA2 yA2 -% ArmA 0 ne { xA1 yA1 } if -% tx@Dict begin false Line end -% /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def -% /LPutPos { LPutLines } def -% /HPutPos { HPutLines } def -% /VPutPos { VPutLines } def -} def -% -/NCLoop { - GetEdgeA GetEdgeB GetArmA GetArmB - /mtrx AngleA matrix rotate def - xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED - /xB3 xB2 yB2 mtrx transform pop def - xB3 yA3 mtrx itransform /yB3 ED /xB3 ED - xA3 yA3 mtrx itransform /yA3 ED /xA3 ED - mark ArmB 0 ne { xB1 yB1 } if - xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if - tx@Dict begin false Line end - /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] cvx def - /LPutPos { LPutLines } def - /HPutPos { HPutLines } def - /VPutPos { VPutLines } def -} def -% -% DG/SR modification begin - May 9, 1997 - Patch 1 -%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r -%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -% -/NCCircle { - NodeSepA 0 NodeA 0 GetEdge pop - 2 div dup 2 exp r r mul sub abs sqrt - atan 2 mul /a ED - r AngleA 90 add PtoC yA add exch xA add - exch 2 copy - /LPutVar [ 4 2 roll r AngleA ] cvx def - /LPutPos { - LPutVar t 360 mul add dup 5 1 roll 90 sub PtoC - 3 -1 roll add - /Y ED add /X ED /NAngle ED -% DG/SR modification end - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def - r AngleA 90 sub a add AngleA 270 add a sub - tx@Dict begin - /angleB ED /angleA ED /r ED - /c 57.2957 r Div def - /y ED /x ED -} def -% -/NCBox { - /d ED /h ED - /AngleB yB yA sub xB xA sub Atan def - /AngleA AngleB 180 add def - GetEdgeA GetEdgeB - /dx d AngleB sin mul def - /dy d AngleB cos mul neg def - /hx h AngleB sin mul neg def - /hy h AngleB cos mul def - /LPutVar [ - xA1 hx add yA1 hy add xB1 hx add yB1 hy add - xB1 dx add yB1 dy add xA1 dx add yA1 dy add ] cvx def - /LPutPos { LPutLines } def - /HPutPos { xB yB xA yA LPutLine } def - /VPutPos { HPutPos } def - mark - LPutVar tx@Dict begin false Polygon end -} def -% -/NCArcBox { - /l ED neg /d ED /h ED /a ED - /AngleA yB yA sub xB xA sub Atan def - /AngleB AngleA 180 add def - /tA AngleA a sub 90 add def - /tB tA a 2 mul add def - /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def - /x0 xA r tA cos mul add def - /y0 yA r tA sin mul add def - /c 57.2958 r div def - /AngleA AngleA a sub 180 add def - /AngleB AngleB a add 180 add def - GetEdgeA GetEdgeB - /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul sub def - /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def - l 0 eq { - x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn - }{ - x0 y0 translate - /tA AngleA l c mul add def - /tB AngleB l c mul sub def - 0 0 r h add tA tB arc r h add - AngleB PtoC r d add - AngleB PtoC 2 copy - 6 2 roll l arcto 4 { pop } repeat - r d add tB PtoC l arcto 4 { pop } repeat - 0 0 r d add tB tA arcn r d add - AngleA PtoC r h add - AngleA PtoC 2 copy 6 2 roll - l arcto 4 { pop } repeat - r h add tA PtoC l arcto 4 { pop } repeat - } ifelse - closepath - /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def - /LPutPos { - LPutVar /d ED /h ED - /AngleB ED /AngleA ED - /r ED /y0 ED /x0 ED - t 1 le { - r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC - }{t 2 lt { - /NAngle AngleB 180 add def r 2 t sub - h mul t 1 sub d mul add add AngleB PtoC - }{ - t 3 lt { - r d add AngleB 3 t sub mul AngleA 2 t sub - mul add dup 90 sub /NAngle ED PtoC - }{ - /NAngle AngleA 180 add def - r 4 t sub d mul t 3 sub h mul add add AngleA PtoC - } ifelse - } ifelse - } ifelse - y0 add /Y ED x0 add /X ED - } def - /HPutPos { LPutPos } def - /VPutPos { LPutPos } def -} def -% -/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB -sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 -ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB -w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos -{ 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 - 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a/Master/texmf-dist/doc/latex/skak/tuggame.tex +++ /dev/null @@ -1,122 +0,0 @@ -% This is a skak version of the tugame.ltx which Piet Tutelaers made -% to show how the original chess package could be used. -% I have changed it to use the skak package commands as a -% demonstration of how to use the skak package. -% Author: Torben Hoffmann -% -% Change history -% -------------- -% Version Comments -% 1.0 Initial version adapted to the skak package. - -% The original comments follows below -%=================================================================== -% -% TUGgame.ltx -% ----------- -% LaTeX source of example in TUGboat article (part of the game Fisher -% lost against Tal), input'ted by TUGboat.ltx. -% Author : Piet Tutelaers (internet: rcpt@urc.tue.nl) -% Version: 1.2 ( 8 Jun 1991) -% Reflects changes in chess.sty version 1.2 -% Version: 1.1 (30 Nov 1990) -% Improvements over version 1.0: -% - two typos corrected, thanks Hugo -%=================================================================== - - -\documentclass[10pt]{article} - -\usepackage[ps,mover,styleC]{skak} -\usepackage[final]{showexpl} -\usepackage{a4wide} - - -\makeatletter -%% to get showexpl to respekt empty lines -%% this corrects a bug in showexpl as long -%% as the new version isn't there -\renewcommand*\SX@resultInput{% - %%\MakePercentComment\catcode`\^^M=10\relax - \SX@@preset\SX@preset - \if@SX@rangeaccept - \let\@tempa=\SX@input% Nur sinnvoll bei \LTXinputExample - \else - \let\@tempa=\input - \fi - \@tempa{\SX@codefile}% - \MakePercentIgnore} -\makeatother - - -\lstset{width=0.5} % wider examples -\lstset{preset=\raggedright} - - - - -\title{Example of the LaTeX-input and output of an annotated -chess game using \texttt{skak.sty}} -\author{Torben Hoffmann} - -\begin{document} - -\parindent=0pt - -\maketitle - - -\begin{LTXexample} -\fenboard{1q3kr1/3rb2p/p3Q3/8/1p6/8/% -PPP3PP/4R2K w - - 0 26} - - -$$\showboard$$ - -Fischer--Tal after \movecomment{25... Kf8!} - -\mainline{26. Qxd7} - -Not \variation{26. Rf1+ Kg7 27. Rf7+ Kh8} and if -\continuevariationcurrent{28. Qxd7 Rd8 29. Qg4 Qe5} wins. - -\mainline{26...Qd6 27. Qb7 Rg6} -Within a handful of moves the game has changed its complexion. -Now it is White who must fight for a draw! - -\mainline{28. c3} -Black's extra piece means less with each pawn that's exchanged. - -\mainline{28...a5} -On \variation{28...bxc3 29. Qc8+ Bd8 30. Qxc3}=. - -\end{LTXexample} - -\begin{LTXexample} - -\storegame{mainline} -\mainline{29. Qc8+} -On the wrong track. Right is \variation{29. cxb4 Qxb4} (if -\continuevariation{29... axb4 30. a3! bxa3 31. bxa3 Qxa3} -draws) -\restoregame{mainline} \hidemoves{29. cxb4 Qxb4} -\variationcurrent{30. Qf3+ Kg7 31. Qe2} draws, -since Black can't possibly build up a winning K-side -attack and his own king is to exposed. - -\restoregame{mainline} \hidemoves{29. Qc8+} - -\mainline{29...Kg7 30. Qc4 Bd8 31. cxb4 axb4} -On \variation{31... Qxb4 32. Qe2} -White should draw with best play. -$$\showboard$$ - -\end{LTXexample} - -\end{document} - - - - - - diff --git a/Master/texmf-dist/tex/latex/skak/chess-workshop-symbols.sty b/Master/texmf-dist/tex/latex/skak/chess-workshop-symbols.sty deleted file mode 100644 index 438ccfcc7cb..00000000000 --- a/Master/texmf-dist/tex/latex/skak/chess-workshop-symbols.sty +++ /dev/null @@ -1,61 +0,0 @@ -%% Define a set of informant-like symbols. -%% This is based on the similar section in -%% the original Tutelaers chess.sty. Original -%% credits to Henry Thomas and John Saba as well. -%% I had to remove a couple of them, due to conflicts -%% or bad dependencies. -%% -%% For a complete list of informant symbols see Informant#51 (1991) pp 10-12. -%% -\ProvidesPackage{chess-workshop-symbols}[2000/08/26] -\RequirePackage{latexsym} - -\providecommand{\wbetter}{\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{+}\hbox{=}}}$}} -\providecommand{\bbetter}{\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{=}\kern-.3ex\hbox{+}}}$}} -\providecommand{\wupperhand}{\mbox{$\pm$}} -\providecommand{\bupperhand}{\mbox{$\mp$}} -\providecommand{\wdecisive}{\mbox{$+\hbox{}-$}} -\providecommand{\bdecisive}{\mbox{$-\hbox{}+$}} -\providecommand{\equal}{=} -\providecommand{\unclear}{\mbox{$\infty$}} - - -\providecommand{\compensation}{\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{\kern.056em\vbox{\hrule width0.89em\kern0.35ex\hrule width0.89em}}\kern.2ex\hbox{$\infty$}}}$}} -\providecommand{\withattack}{$\rightarrow$} -\providecommand{\withinit}{$\uparrow$} -\providecommand{\counterplay}{\hbox{\baselineskip0pt$\vcenter{\vbox{\hbox{$\leftarrow$}\hbox{$\rightarrow$}}}$}} -\providecommand{\zugzwang}{$\odot$} -\providecommand{\mate}{\kern.4pt\mbox{\vrule width2ex height1.18ex depth-1.1ex\kern-2ex\vrule width2ex height.52ex depth-.44ex\kern-1.381ex\vrule width.08ex height1.8ex depth.2ex\kern0.615ex\vrule width.08ex height1.8ex depth.2ex\kern0.406ex}\kern.4pt} -\providecommand{\withidea}{$\triangle$} -\providecommand{\onlymove}{$\Box$} -\providecommand{\betteris}{\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{$\frown$}\kern-0.35ex\hrule width0.95em}}$}} -\providecommand{\file}{$\Leftrightarrow$} - -\providecommand{\diagonal}{$\nearrow$} -% + \centre {$\Box$\kern-.6em\raise.54ex\hbox{\smrm\char'053}} -\providecommand{\kside}{$\gg$} -\providecommand{\qside}{$\ll$} -\providecommand{\weakpt}{$\times$} -% + \ending {$\perp$} - -\providecommand{\blackbox}{\vrule height .8ex width 1.2ex depth 0ex} -\providecommand{\whitebox}{\vbox{\hrule height .1pt\hbox{\vrule width .1pt\kern.6ex\vbox{\kern.8ex}\kern.6ex\vrule width .1pt}\hrule height .1pt}} -\providecommand{\bishoppair}{\whitebox\kern-2pt\raise1.8pt\hbox{\whitebox}} -\providecommand{\opposbishops}{\whitebox\kern-2pt\raise1.8pt\hbox{\blackbox}} -\providecommand{\samebishops}{\blackbox\kern-2pt\raise1.8pt\hbox{\blackbox}} - -\providecommand{\unitedpawns}{$\circ\kern-.05em\circ$} -\providecommand{\seppawns}{$\circ\kern-.3em\cdot\kern-.35em\cdot\kern-.1em\circ$} -\providecommand{\doublepawns}{\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{$\circ$}\vskip.8pt\hbox{$\circ$}}}$}} - -% + \passedpawn {\mbox{\baselineskip0pt$\vcenter{\vbox{\hbox{\kern0.14em\symbolsix\char'042}\hbox{$\circ$}}}$}} -\providecommand{\morepawns}{$>$} -\providecommand{\timelimit}{$\oplus$} -\providecommand{\novelty}{{\sc N}} -\providecommand{\comment}{{\sc RR}} -\providecommand{\various}{{\sc R}} -\providecommand{\without}{\kern.4pt\mbox{\vrule width 1ex height.08ex depth0ex\kern-0.08ex\vrule width0.08ex height1.5ex depth0ex}\kern.4pt} -\providecommand{\with}{\kern.4pt\mbox{\vrule width 0.08ex height1.5ex depth0ex\kern-0.08ex\vrule width 1ex height.08ex depth0ex}\kern.4pt} -\providecommand{\etc}{$\parallel$} -%\providecommand{\see}{\kern.4pt\mbox{\vrule width 1em height.54ex depth-.46ex}\kern.4pt} -\providecommand{\see} {see} diff --git a/Master/texmf-dist/tex/latex/skak/skak.sty b/Master/texmf-dist/tex/latex/skak/skak.sty index 569a18a6a35..ac731d76501 100644 --- a/Master/texmf-dist/tex/latex/skak/skak.sty +++ b/Master/texmf-dist/tex/latex/skak/skak.sty @@ -1,5 +1,5 @@ \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{skak}[2013/07/18 v1.5.1 Chess typesetting] +\ProvidesPackage{skak}[2018/01/08 v1.5.3 Chess typesetting] \DeclareOption{tiny}{\AtEndOfClass{\tinyboard}} \DeclareOption{small}{\AtEndOfClass{\smallboard}} diff --git a/Master/texmf-dist/tex/latex/skak/uskak.fd b/Master/texmf-dist/tex/latex/skak/uskak.fd deleted file mode 100644 index e89f0b62505..00000000000 --- a/Master/texmf-dist/tex/latex/skak/uskak.fd +++ /dev/null @@ -1,11 +0,0 @@ -\DeclareFontFamily{U}{skak}{} - \DeclareFontShape{U}{skak}{m}{n}{<-> skakf10 }{} - \DeclareFontShape{U}{skak}{m}{sl}{<-> sub skakf10/m/n }{} - \DeclareFontShape{U}{skak}{m}{it}{<-> sub skakf10/m/n }{} - \DeclareFontShape{U}{skak}{m}{sc}{<-> sub skakf10/m/n }{} - \DeclareFontShape{U}{skak}{m}{u}{<-> sub skakf10/m/n }{} - \DeclareFontShape{U}{skak}{bx}{n}{<-> skakf10b }{} - \DeclareFontShape{U}{skak}{bx}{sl}{<-> sub skakf10b/bx/n }{} - \DeclareFontShape{U}{skak}{bx}{it}{<-> sub skakf10b/bx/n }{} - \DeclareFontShape{U}{skak}{b}{u}{<-> skakf10b }{} -\endinput |