diff options
author | Karl Berry <karl@freefriends.org> | 2006-01-13 00:08:28 +0000 |
---|---|---|
committer | Karl Berry <karl@freefriends.org> | 2006-01-13 00:08:28 +0000 |
commit | a81f8bb58bc6bf52d25a58b67a4d1ccf5e58d9ea (patch) | |
tree | c6c032e88805db6cbd0407c228a97cde0d3ec341 /Master | |
parent | d9c210ffae1216ce974e21f64b14cd3ca1b81e29 (diff) |
t-angles
git-svn-id: svn://tug.org/texlive/trunk@1367 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
-rw-r--r-- | Master/texmf-dist/tex/latex/t-angles/t-angles.sty | 420 |
1 files changed, 420 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/t-angles/t-angles.sty b/Master/texmf-dist/tex/latex/t-angles/t-angles.sty new file mode 100644 index 00000000000..4962ecbd63e --- /dev/null +++ b/Master/texmf-dist/tex/latex/t-angles/t-angles.sty @@ -0,0 +1,420 @@ +% a manual is available from http://www.math.ksu.edu/~lub/ +% \usepackage[emtex]{t-angles} % for emtex drivers, dviwin and dvips or +% \usepackage{t-angles} = \usepackage[TPIC]{t-angles} +% % for TPIC drivers such as dviwin, xdvi, dvips +% \usepackage[kluwer]{t-angles} or \usepackage[emtex,kluwer]{t-angles} +% % to use with kluwer.cls + + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % This is file t-angles.sty ( version 10.09.00 ) % + % % + % Diagrammatic macros for tangles and braided Hopf algebras % + % % + % (Yu. Bespalov, V. Lyubashenko) % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\newcount{\hstretch} \hstretch 100 +\newcount{\vstretch} \vstretch 100 +\newlength{\unitlens} \unitlens 10pt +\def\FillCircDiam{3} + +\DeclareOption{emtex}{% +\gdef\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc + \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth + \special{em:linewidth \the\@wholewidth}} %\@wholewidth=0.4pt +\gdef\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw + \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth + \special{em:linewidth \the\@wholewidth}} %\@wholewidth=0.8pt +\def\emline#1#2#3#4#5#6{% + \put(#1,#2){\special{em:moveto}}% + \put(#4,#5){\special{em:lineto}}}% +\def\drawpath#1#2#3#4{\emline{#1}{#2}1{#3}{#4}2} % graphics for *.lp +} +% +\newcount\@gphlinewidth +% +\DeclareOption{TPIC}{% +\@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736 + \advance\@gphlinewidth\@ne %\@gphlinewidth=6 +\gdef\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc + \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth + \@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736 + \advance\@gphlinewidth\@ne} %\@gphlinewidth=6 +\gdef\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw + \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth + \@gphlinewidth\@wholewidth \divide\@gphlinewidth 4736} + %\@gphlinewidth=11 +\def\@paspecial#1#2{% + \special{pa #1 #2}} +\def\path(#1,#2){% + \special{pn \the\@gphlinewidth}% + \@path(#1,#2)} +\def\@path(#1,#2){% + \@tempdima #1\unitlength + \@tempdimb #2\unitlength + \@tempcnta \@tempdima \advance\@tempcnta 2368 \divide\@tempcnta 4736 + \@tempcntb -\@tempdimb \advance\@tempcntb -2368 \divide\@tempcntb 4736 + \@paspecial{\the\@tempcnta}{\the\@tempcntb}% + \@ifnextchar ({\@path}{\special{fp}}} +\providecommand{\drawpath}[4]{\path(#1,#2)(#3,#4)} % TPIC graphics for *.lp +\providecommand{\emline}[6]{\path(#1,#2)(#4,#5)} % TPIC graphics for *.pic +} +\DeclareOption{kluwer}{% +\def\tangle{\begingroup\let\hline\savehline\t@ngle\array{l}} +\def\tanglec{\begingroup\let\hline\savehline\t@ngle\array{c}} +\def\tangler{\begingroup\let\hline\savehline\t@ngle\array{r}} +\def\tangles{\begingroup\let\hline\savehline\t@ngle\array} +} +\ExecuteOptions{TPIC} + +\newcount{\h@r} +\newcount{\v@r} +\newcount{\h@z} +\newcount{\v@t} +\newlength{\unith} +\newlength{\unitv} +\newlength{\textwd} +% +\let\kilglu\@killglue +% +\def\@step[#1]{\unith\unitlens +\divide\unith 1000 \multiply\unith 10 \multiply\unith\hstretch +\@killglue\kern #1\unith} +\def\step{\@ifnextchar[{\@step}{\@step[1]}} +\def\hhstep{\step[-.5]} \def\hstep{\step[.5]} \def\Step{\step[2]} +% +\def\object#1{\settowidth{\textwd}{${#1}$} +\hbox{\put(0,0){\kern -.5\textwd${#1}$}\hss}} +% +\def\t@ngl@{% +\gdef\hm@dehalf{1}\gdef\hm@de{2}\gdef\hm@defives{10}\gdef\hm@detens{20} +\gdef\hm@dethree{7}\gdef\hm@deseven{13}\gdef\hm@defiveteen{15}} +% +\def\t@ngle{\t@ngl@ +\gdef\above@bjectskip{0pt}\gdef\below@bjectskip{4pt} +% +\def\object##1{{\settowidth{\textwd}{${##1}$} +\@killglue\setbox0=\hbox{\kern -.5\textwd${##1}$}% +\unith\ht0\unitv\dp0% +\advance\unith\above@bjectskip\advance\unitv\below@bjectskip% +\ht0=\unith\dp0=\unitv\wd0=0pt\box0}} +% +\unitlength\unitlens\divide\unitlength 1000 +\unith\unitlength \multiply\unith10 \multiply\unith\hstretch +\unitv\unitlength \multiply\unitv10 \multiply\unitv\vstretch +\def\@step[##1]{\@killglue\kern ##1\unith} +% +\def\hbx(##1,##2)##3{% +\@killglue\setbox0=\hbox{##3}\ht0=##2\unitv\dp0=0pt\wd0=##1\unith\box0} +\def\hln##1{\hbx(##1,0){\hbox to ##1\unith{\hrulefill}}} +% +\def\hstr##1{\unith\unitlength \multiply\unith10 +\hstretch ##1 \multiply\unith\hstretch} +\def\vstr##1{\unitv\unitlength \multiply\unitv10 +\vstretch ##1 \multiply\unitv\vstretch} +% +\def\c@@rds(##1,##2,##3,##4){% +\h@r\hstretch\v@r\vstretch\h@z\hstretch\v@t\vstretch% +\multiply\h@r ##1 \multiply\v@r ##2 \multiply\h@z ##3 \multiply\v@t ##4% +\put(\h@r,\v@r)} +\def\EMl@ne(##1,##2,##3,##4){% +\h@r\hstretch\v@r\vstretch\h@z\hstretch\v@t\vstretch% +\multiply\h@r ##1 \multiply\v@r ##2 \multiply\h@z ##3 \multiply\v@t ##4% +\emline{\h@r}{\v@r}1{\h@z}{\v@t}2} +% +% N O D E S A N D L I N E S +\def\id{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}}} +\def\idash{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% +\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% +\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}}} +\def\node{\hbx(0,0){\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} +\def\n{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}% +\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} +\def\s{\hbx(0,\hm@de){\c@@rds(0,0,0,\hm@detens){\line(0,1){\v@t}}% +\c@@rds(0,\hm@detens,\FillCircDiam,0){\circle*{\h@z}}}} +\def\unit{\hbx(0,\hm@de){\c@@rds(0,0,0,10){\line(0,1){\v@t}}% +\c@@rds(0,12,4,0){\circle{\h@z}}}} +\def\counit{\hbx(0,\hm@de){\c@@rds(0,10,0,10){\line(0,1){\v@t}}% +\c@@rds(0,8,4,0){\circle{\h@z}}}} +% +%%%% ARGUMENT OF \ne,\nw,\se,\sw,\ned,\nwd,\sed,\swd IS 0,1,2,3 OR 4; +%%%% 0 PRODUCES EMPTY BOX AND +%%%% OTHER PRODUCE LINES WITH HORIZONTAL PROJECTIONS =##1 +\def\@nsew##1##2##3##4##5{\hbx(1,\hm@de){\ifcase##1 +\or\EMl@ne(##2)\or\EMl@ne(##3)\or\EMl@ne(##4)\or\EMl@ne(##5)\fi}} +\def\ne##1{\@nsew{##1}{0,0,10,\hm@detens}{-10,0,10,\hm@detens}% +{-20,0,10,\hm@detens}{-30,0,10,\hm@detens}} +\def\nw##1{\@nsew{##1}{0,\hm@detens,10,0}{0,\hm@detens,20,0}% +{0,\hm@detens,30,0}{0,\hm@detens,40,0}} +\def\se##1{\@nsew{##1}{10,0,0,\hm@detens}{10,0,-10,\hm@detens}% +{10,0,-20,\hm@detens}{10,0,-30,\hm@detens}} +\def\sw##1{\@nsew{##1}{0,0,10,\hm@detens}{0,0,20,\hm@detens}% +{0,0,30,\hm@detens}{0,0,40,\hm@detens}} +% +\def\nd{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% +\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% +\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}% +\c@@rds(0,0,\FillCircDiam,0){\circle*{\h@z}}}} +\def\ned##1{\hbx(1,2){\ifcase##1\or% +\EMl@ne(0,0,1,2)\EMl@ne(2,4,4,8)\EMl@ne(5,10,7,14)\EMl@ne(8,16,10,20)\or% +\EMl@ne(-10,0,-7,3)\EMl@ne(-5,5,-3,7)\EMl@ne(-1,9,1,11)% +\EMl@ne(3,13,5,15)\EMl@ne(7,17,10,20)\or% +\EMl@ne(-20,0,-14,4)\EMl@ne(-11,6,-8,8)\EMl@ne(-5,10,-2,12) +\EMl@ne(1,14,4,16)\EMl@ne(7,18,10,20)\or% +\EMl@ne(-30,0,-26,2)\EMl@ne(-24,3,-20,5)\EMl@ne(-18,6,-14,8)% +\EMl@ne(-12,9,-8,11)\EMl@ne(-6,12,-2,14)\EMl@ne(0,15,4,17)% +\EMl@ne(6,18,10,20)\fi}} +\def\nwd##1{\hbx(1,2){\ifcase##1\or% +\EMl@ne(0,20,2,16)\EMl@ne(3,14,5,10)\EMl@ne(6,8,8,4)\EMl@ne(9,2,10,0)\or% +\EMl@ne(0,20,3,17)\EMl@ne(5,15,7,13)\EMl@ne(9,11,11,9)% +\EMl@ne(13,7,15,5)\EMl@ne(17,3,20,0)\or% +\EMl@ne(0,20,3,18)\EMl@ne(6,16,9,14)\EMl@ne(12,12,15,10)% +\EMl@ne(18,8,21,6)\EMl@ne(24,4,30,0)\or% +\EMl@ne(0,20,4,18)\EMl@ne(6,17,10,15)\EMl@ne(12,14,16,12)\EMl@ne(18,11,22,9)% +\EMl@ne(24,8,28,6)\EMl@ne(30,5,34,3)\EMl@ne(36,2,40,0)\fi}} +\def\sd{\hbx(0,2){\c@@rds(0,0,0,3){\line(0,1){\v@t}}% +\c@@rds(0,5,0,2){\line(0,1){\v@t}}\c@@rds(0,9,0,2){\line(0,1){\v@t}}% +\c@@rds(0,13,0,2){\line(0,1){\v@t}}\c@@rds(0,17,0,3){\line(0,1){\v@t}}% +\c@@rds(0,20,\FillCircDiam,0){\circle*{\h@z}}}} +\def\sed##1{\hbx(1,2){\ifcase##1\or% +\EMl@ne(10,0,8,4)\EMl@ne(7,6,5,10)\EMl@ne(4,12,2,16)\EMl@ne(1,18,0,20)\or% +\EMl@ne(10,0,7,3)\EMl@ne(5,5,3,7)\EMl@ne(1,9,-1,11)% +\EMl@ne(-3,13,-5,15)\EMl@ne(-7,17,-10,20)\or% +\EMl@ne(10,0,7,2)\EMl@ne(4,4,1,6)\EMl@ne(-2,8,-5,10)% +\EMl@ne(-8,12,-11,14)\EMl@ne(-14,16,-20,20)\or% +\EMl@ne(10,0,6,2)\EMl@ne(4,3,0,5)\EMl@ne(-2,6,-6,8)\EMl@ne(-8,9,-12,11)% +\EMl@ne(-14,12,-18,14)\EMl@ne(-20,15,-24,17)\EMl@ne(-26,18,-30,20)\fi}} +\def\swd##1{\hbx(1,2){\ifcase##1\or% +\EMl@ne(0,0,2,4)\EMl@ne(3,6,5,10)\EMl@ne(6,12,8,16)\EMl@ne(9,18,10,20)\or% +\EMl@ne(0,0,3,3)\EMl@ne(5,5,7,7)\EMl@ne(9,9,11,11)% +\EMl@ne(13,13,15,15)\EMl@ne(17,17,20,20)\or% +\EMl@ne(0,0,3,2)\EMl@ne(6,4,9,6)\EMl@ne(12,8,15,10)% +\EMl@ne(18,12,21,14)\EMl@ne(24,16,30,20)\or% +\EMl@ne(0,0,4,2)\EMl@ne(6,3,10,5)\EMl@ne(12,6,16,8)\EMl@ne(18,9,22,11)% +\EMl@ne(24,12,28,14)\EMl@ne(30,15,34,17)\EMl@ne(36,18,40,20)\fi}} +% +% D A S H E D C R O S S E S +\def\xd{\hbx(2,2){\EMl@ne(0,0,4,4)\EMl@ne(6,6,8,8)\EMl@ne(12,12,14,14)% +\EMl@ne(16,16,20,20)\EMl@ne(0,20,4,16)\EMl@ne(6,14,14,6)\EMl@ne(16,4,20,0)}} +\def\xxd{\hbx(2,2){\EMl@ne(0,0,4,4)\EMl@ne(6,6,14,14)\EMl@ne(16,16,20,20)% +\EMl@ne(0,20,4,16)\EMl@ne(6,14,8,12)\EMl@ne(12,8,14,6)\EMl@ne(16,4,20,0)}} +\def\hxd{\hbx(1,2){\EMl@ne(0,0,2,4)\EMl@ne(3,6,4,8)\EMl@ne(6,12,7,14)% +\EMl@ne(8,16,10,20)\EMl@ne(0,20,2,16)\EMl@ne(3,14,7,6)\EMl@ne(8,4,10,0)}} +\def\hxxd{\hbx(1,2){\EMl@ne(0,0,2,4)\EMl@ne(3,6,7,14)\EMl@ne(8,16,10,20)% +\EMl@ne(0,20,2,16)\EMl@ne(3,14,4,12)\EMl@ne(6,8,7,6)\EMl@ne(8,4,10,0)}} +% +% O T H E R L I N E S +\def\@d##1##2{\hbx(\hm@dehalf,\hm@de){% +\EMl@ne(##1\hm@defives,##2\hm@detens)}} +\def\d{\@d{}{0,0,}} \def\dd{\@d{0,0,}{}} +\def\@hd##1##2##3{\hbx(.5,\hm@de){\EMl@ne(##1,\hm@defives,##2)% +\c@@rds(##1,\hm@defives,0,\hm@defives){\line(0,##31){\v@t}}}} +\def\hd{\@hd{5}{0,\hm@detens}{-}} \def\dh{\@hd{0}{5,0}{}} +\def\hdd{\@hd{0}{5,\hm@detens}{-}} \def\ddh{\@hd{5}{0,0}{}} +% +% P U T S O M E T H I N G A N Y W H E R E +\def\n@de##1##2##3{\hbx(0,0){% +\c@@rds(##1,0,0){\makebox(0,0)[##2]{$\scriptstyle ##3$}}}} +\def\nodeu##1{\hbx(0,0){\n@de{0,3}{cb}{##1}}} +\def\noded##1{\hbx(0,0){\n@de{0,-3}{ct}{##1}}} +\def\nodel##1{\hbx(0,0){\n@de{-2,0}{rc}{##1}}} +\def\noder##1{\hbx(0,0){\n@de{2,0}{lc}{##1}}} +\def\noderu##1{\hbx(0,0){\n@de{5,2}{lb}{##1}}} +\def\noderd##1{\hbx(0,0){\n@de{5,-2}{lt}{##1}}} +\def\nodelu##1{\hbx(0,0){\n@de{-5,2}{rb}{##1}}} +\def\nodeld##1{\hbx(0,0){\n@de{-5,-2}{rt}{##1}}} +\def\Put(##1,##2)[##3]##4{% +\h@r\hstretch \multiply\h@r ##1 +\v@r\vstretch \multiply\v@r ##2 +\put(\h@r,\v@r){\makebox(\h@z,\v@t)[##3]{\scriptsize$##4$}}} +% \def\negobj##1{\raise -0.2\unitv\hbox{\put(0,0){$##1$}}} +% \def\obj##1{\raise .2\unitv\hbox{\put(0,0){$##1$}}} +% \def\Obj##1{\settowidth{\textwd}{$##1$}% +% \raise 1.1\unitv\hbox{\kern -1\textwd $##1$}} +% +% B O X E S +\def\dbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% +\c@@rds(0,0,10,\hm@detens){\dashbox{100}(\h@z,\v@t){\scriptsize$##2$}}}} +\def\ffbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% +\c@@rds(0,0,10,\hm@detens){\framebox(\h@z,\v@t){\scriptsize$##2$}}}} +\def\obox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% +\c@@rds(5,\hm@defives,10,\hm@detens){\oval(\h@z,\v@t)}% +\c@@rds(0,0,10,\hm@detens){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}}} +\def\tbox##1##2{\hbx(##1,\hm@de){\multiply\hstretch ##1% +\c@@rds(0,0,10,\hm@detens){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}}} +% +% ( C O ) P A I R I N G S +\def\@ev##1##2##3##4{\hbx(##1){\c@@rds(##2,##3,##3){\oval(\h@z,\v@t)[##4]}}} +\def\ev{\@ev{\hm@de,\hm@de}{\hm@defives,\hm@detens}\hm@detens b} +\def\coev{\@ev{\hm@de,\hm@de}{\hm@defives,0}\hm@detens t} +\def\hcoev{\@ev{1,\hm@de}{5,0}{10}t} +\def\hev{\@ev{1,\hm@de}{5,\hm@detens}{10}b} +\def\Coev{\@ev{1,\hm@de}{15,0}{30}t} +\def\Ev{\@ev{1,\hm@de}{15,\hm@detens}{30}b} +\def\COEV{\@ev{2,2}{30,0}{60}t} +\def\EV{\@ev{2,2}{30,20}{60}b} +% +% ( O V E R / U N D E R ) C R O S S I N G S +\def\X{\hbx(1,\hm@de){\EMl@ne(0,\hm@detens,10,0)\EMl@ne(0,0,10,\hm@detens)}} +\def\XX{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@detens,0)% +\EMl@ne(0,0,\hm@detens,\hm@detens)}} +\def\x{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@detens,0)% +\EMl@ne(0,0,\hm@dethree,\hm@dethree)% +\EMl@ne(\hm@detens,\hm@detens,\hm@deseven,\hm@deseven)}} +\def\xx{\hbx(\hm@de,\hm@de){\EMl@ne(0,\hm@detens,\hm@dethree,\hm@deseven)% +\EMl@ne(0,0,\hm@detens,\hm@detens)% +\EMl@ne(\hm@detens,0,\hm@deseven,\hm@dethree)}} +\def\hx{\hbx(1,2){\EMl@ne(0,20,10,0)\EMl@ne(0,0,3,6)\EMl@ne(10,20,7,14)}} +\def\hxx{\hbx(1,2){\EMl@ne(0,20,3,14)\EMl@ne(0,0,10,20)\EMl@ne(10,0,7,6)}} +% +% ( C O ) P R O D U C T S +\def\pr@d##1##2##3{% +\c@@rds(##1){\oval(\h@z,\v@t)[c##2]}\c@@rds(##3){\line(0,1){\v@t}}}% +\def\pr@dd##1##2##3##4{\c@@rds(5,##1,10,10){\oval(\h@z,\v@t)[c##2]}% +\EMl@ne(5,10,##3)\c@@rds(5,##4,0,5){\line(0,1){\v@t}}} +\def\c@cyc##1{\c@@rds(##1,\FillCircDiam,0){\circle*{\h@z}}} +\def\cu{\@ifnextchar*% +{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,\hm@detens,\hm@detens,\hm@detens}% +{b}{\hm@defives,0,0,\hm@defives}% +\c@cyc{\hm@defives,\hm@defives}}\@gobble}% +{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,\hm@detens,\hm@detens,\hm@detens}% +{b}{\hm@defives,0,0,\hm@defives}}}} +\def\cd{\@ifnextchar*% +{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,0,\hm@detens,\hm@detens}% +{t}{\hm@defives,\hm@defives,0,\hm@defives}% +\c@cyc{\hm@defives,\hm@defives}}\@gobble}% +{\hbx(\hm@de,\hm@de){\pr@d{\hm@defives,0,\hm@detens,\hm@detens}% +{t}{\hm@defives,\hm@defives,0,\hm@defives}}}} +\def\hcu{\@ifnextchar*% +{\hbx(1,\hm@de){\pr@d{5,\hm@detens,10,10}{b}{5,0,0,\hm@defiveteen}% +\c@cyc{5,\hm@defiveteen}}\@gobble}% +{\hbx(1,\hm@de){\pr@d{5,\hm@detens,10,10}{b}{5,0,0,\hm@defiveteen}}}} +\def\hcd{\@ifnextchar*% +{\hbx(1,\hm@de){\pr@d{5,0,10,10}{t}{5,5,0,\hm@defiveteen}% +\c@cyc{5,5}}\@gobble}% +{\hbx(1,\hm@de){\pr@d{5,0,10,10}{t}{5,5,0,\hm@defiveteen}}}} +\def\Cu{\@ifnextchar*% +{\hbx(4,2){\pr@d{20,20,40,20}{b}{20,0,0,10}\c@cyc{20,10}}\@gobble}% +{\hbx(4,2){\pr@d{20,20,40,20}{b}{20,0,0,10}}}} +\def\Cd{\@ifnextchar*% +{\hbx(4,2){\pr@d{20,0,40,20}{t}{20,10,0,10}\c@cyc{20,10}}\@gobble}% +{\hbx(4,2){\pr@d{20,0,40,20}{t}{20,10,0,10}}}} +\def\hd@cd##1{\@ifnextchar*% +{\hbx(1,2){\pr@dd{0}{t}{##1,20}{5}\c@cyc{5,5}}\@gobble}% +{\hbx(1,2){\pr@dd{0}{t}{##1,20}{5}}}} +\def\hd@cu##1{\@ifnextchar*% +{\hbx(1,2){\pr@dd{20}{b}{##1,0}{10}\c@cyc{5,15}}\@gobble}% +{\hbx(1,2){\pr@dd{20}{b}{##1,0}{10}}}} +\def\hdcd{\hd@cd 0} \def\hddcd{\hd@cd{10}} +\def\hdcu{\hd@cu{10}} \def\hddcu{\hd@cu 0} +% +% A C T I O N S +\def\@ct##1##2##3##4##5{\hbx(##1,\hm@de){% +\c@@rds(##2,##3,##4,##4){\oval(\h@z,\v@t)[##5]}% +\c@@rds(##2,0,0,\hm@detens){\line(0,1){\v@t}}}} +\def\@lu[##1]{{\multiply\hstretch##1\@ct{##1}{10}{\hm@detens}{20}{lb}}} +\def\@ru[##1]{{\multiply\hstretch##1\@ct{##1}{0} {\hm@detens}{20}{rb}}} +\def\@ld[##1]{{\multiply\hstretch##1\@ct{##1}{10}{0}{20}{lt}}} +\def\@rd[##1]{{\multiply\hstretch##1\@ct{##1}{0}{0}{20}{rt}}} +\def\lu{\@ifnextchar[{\@lu}{\@lu[1]}} +\def\ru{\@ifnextchar[{\@ru}{\@ru[1]}} +\def\ld{\@ifnextchar[{\@ld}{\@ld[1]}} +\def\rd{\@ifnextchar[{\@rd}{\@rd[1]}} +\def\Lu{\lu[2]}\def\Ru{\ru[2]}\def\Ld{\ld[2]}\def\Rd{\rd[2]} +\def\@hlu[##1]{{\divide\unith2\multiply\hstretch##1% +\@ct{##1}{5}{\hm@detens}{10}{lb}}} +\def\@hru[##1]{{\divide\unith2\multiply\hstretch##1% +\@ct{##1}{0}{\hm@detens}{10}{rb}}} +\def\@hld[##1]{{\divide\unith2\multiply\hstretch##1% +\@ct{##1}{5}{0}{10}{lt}}} +\def\@hrd[##1]{{\divide\unith2\multiply\hstretch##1% +\@ct{##1}{0}{0}{10}{rt}}} +\def\hlu{\@ifnextchar[{\@hlu}{\@hlu[1]}} +\def\hru{\@ifnextchar[{\@hru}{\@hru[1]}} +\def\hld{\@ifnextchar[{\@hld}{\@hld[1]}} +\def\hrd{\@ifnextchar[{\@hrd}{\@hrd[1]}} +% \def\hlu{\@ct{.5}{5}{\hm@detens}{10}{lb}} +% \def\hru{\@ct{.5}{0}{\hm@detens}{10}{rb}} +% \def\hld{\@ct{.5}{5}{0}{10}{lt}} +% \def\hrd{\@ct{.5}{0}{0}{10}{rt}} +% +% C O M P O S I T I O N S +\def\c@mp##1##2##3##4##5##6{\hbx(##1,2){% +\c@@rds(##2,0,##3){\oval(\h@z,\v@t)[##4t]}% +\c@@rds(##2,20,##3){\oval(\h@z,\v@t)[##4b]}% +\c@@rds(##2,##5,0,##6){\line(0,1){\v@t}}}} +\def\cucd{\c@mp{1}{5}{10,10}{}{5}{10}} +\def\k{\c@mp{1}{0}{20,10}{r}{0}{20}} +\def\kk{\c@mp{1}{10}{20,10}{l}{0}{20}} +\def\rurd{\c@mp{.5}{0}{10,10}{r}{0}{20}} +\def\luld{\c@mp{.5}{5}{10,10}{l}{0}{20}} +% +% M O R P H I S M S I N A C I R C L E +\def\c@rcled##1##2{\c@@rds(##1,12,12){\oval(\h@z,\v@t)}% +\c@@rds(##1,0,0){\makebox(\h@z,\v@t)[cc]{\scriptsize$##2$}}} +% ( 1, 0 ) -, ( 0, 1 ) - T E N S O R S +\def\@Q##1##2{\hbx(0,\hm@de){% +\c@@rds(0,##1,0,4){\line(0,1){\v@t}}\c@rcled{0,10}{##2}}} +\def\Q##1{\@Q{0}{##1}} \def\QQ##1{\@Q{16}{##1}} +% ( 1, 1 ) - T E N S O R S +\def\O##1{\hbx(0,\hm@de){\c@@rds(0,0,0,4){\line(0,1){\v@t}}% +\c@@rds(0,16,0,4){\line(0,1){\v@t}}\c@rcled{0,10}{##1}}} +\def\S{\O{S}} \def\SS{\O{S^{-1}}} +%\def\circ##1{\hbx(2,2){\c@rcled{10,4}{##1}}} +\def\morph##1{\hbx(2,2){\c@@rds(10,10,10,10){\oval(\h@z,\v@t)}% +\c@@rds(5,5,10,10){\makebox(\h@z,\v@t)[cc]{\scriptsize$##1$}}% +\c@@rds(10,0,0,5){\line(0,1){\v@t}}% +\c@@rds(10,15,0,5){\line(0,1){\v@t}}}} +% ( 2, 0 ) -, ( 0, 2 ) - T E N S O R S +\def\r@##1##2##3##4##5{\hbx(2,\hm@de){% +\c@@rds(0,##1,0,4){\line(0,##41){\v@t}}% +\c@@rds(20,##1,0,4){\line(0,##41){\v@t}}% +\c@@rds(4,##1,8,8){\oval(\h@z,\v@t)[l##2]}% +\c@@rds(16,##1,8,8){\oval(\h@z,\v@t)[r##2]}\c@rcled{##3}{##5}}} +\def\ro##1{\r@{4}{t}{10,8}{-}{##1}} +\def\coro##1{\r@{16}{b}{10,12}{}{##1}} +% +\def\R@##1##2##3{\hbx(4,\hm@de){% +\c@@rds(14,##1,28,20){\oval(\h@z,\v@t)[l##2]}% +\c@@rds(26,##1,28,20){\oval(\h@z,\v@t)[r##2]}\c@rcled{20,10}{##3}}} +\def\Ro##1{\R@{0}{t}{##1}} +\def\coRo##1{\R@{20}{b}{##1}} +% ( 2, 1 ) -, ( 1, 2 ) - T E N S O R S +\def\t@##1##2##3##4##5##6{\hbx(2,2){% +\c@@rds(4,##1,8,8){\oval(\h@z,\v@t)[l##2]}% +\c@@rds(16,##1,8,8){\oval(\h@z,\v@t)[r##2]}% +\c@@rds(0,##1,0,5){\line(0,##31){\v@t}}% +\c@@rds(20,##1,0,5){\line(0,##31){\v@t}}% +\c@@rds(10,##4,0,5){\line(0,##31){\v@t}}% +\c@rcled{10,##5}{##6}}} +\def\tu##1{\t@{15}b{}{0}{11}{##1}} \def\td##1{\t@{5}t{-}{20}{9}{##1}} +% ( 2, 2 ) - T E N S O R S +\def\ox##1{\hbx(2,2){\c@@rds(10,10,14,14){\oval(\h@z,\v@t)}% +\c@@rds(10,10,0,0){\makebox(\h@z,\v@t)[cc]{\scriptsize$##1$}} +\EMl@ne(0,0,5,5)\EMl@ne(0,20,5,15)\EMl@ne(20,20,15,15)\EMl@ne(20,0,15,5)}} +% +% HALF HEIGHT ROW IS PRODUCED BY \hh or \HH AT THE BEGINNING OF THE ROW +% \HH is global for a row, \hh is local +\def\HH{\gdef\hm@dehalf{.5}\gdef\hm@de{1} +\gdef\hm@dethree{3}\gdef\hm@defives{5}\gdef\hm@deseven{7} +\gdef\hm@detens{10}\gdef\hm@defiveteen{5}} +\def\hh{\def\hm@dehalf{.5}\def\hm@de{1} +\def\hm@dethree{3}\def\hm@defives{5}\def\hm@deseven{7} +\def\hm@detens{10}\def\hm@defiveteen{5}} +% +\def\array{\let\@acol\@arrayacol \let\@classz\@arrayclassz +\let\@classiv\@arrayclassiv \def\arraystretch{0}\arraycolsep0pt +\def\\{\gdef\above@bjectskip{4pt}\gdef\below@bjectskip{0pt}\t@ngl@\@arraycr} +\let\@halignto\@empty\@tabarray} +} +% E N D \def\t@ngle +% +\def\tangle{\t@ngle\array{l}} \def\endtangle{\endarray\t@ngl@} +\def\tanglec{\t@ngle\array{c}} \let\endtanglec\endtangle +\def\tangler{\t@ngle\array{r}} \let\endtangler\endtangle +\def\tangles{\t@ngle\array} \let\endtangles\endtangle +% +\ProcessOptions +\endinput |