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| -rw-r--r-- | Master/texmf-dist/tex/latex/pb-diagram/lamsarrow.sty | 770 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/pb-diagram/pb-diagram.sty | 963 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/pb-diagram/pb-lams.sty | 142 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/pb-diagram/pb-xy.sty | 133 |
4 files changed, 2008 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/pb-diagram/lamsarrow.sty b/Master/texmf-dist/tex/latex/pb-diagram/lamsarrow.sty new file mode 100644 index 00000000000..a215c8b1fc3 --- /dev/null +++ b/Master/texmf-dist/tex/latex/pb-diagram/lamsarrow.sty @@ -0,0 +1,770 @@ +% lamsarrow.sty: fancy arrows using lams fonts +% Author: extracted from Michael Spivak's LamS-TeX by Paul Burchard +% Version Number: 4.1 +% Version Date: 24 Jan 1997 +% +%--------------------- LamS-TeX copyright ------------------------- +% COPYRIGHT (C) 1989, 1990, 1991 by the Texplorators Corporation, +% 1572 West Gray #377, Houston, TX 77019-4948 (ALL RIGHTS RESERVED) +%------------------------------------------------------------------ +% +% This macro package allows LaTeX users to make use of the LamS-TeX +% arrow fonts and create arrows with +% * any valid LaTeX \line slope (unlike LaTeX's \vector) +% * all those fancy head/tail symbols and shaft styles. +% +% Actually, these macros will accept any slope and approximate it +% by the closest LaTeX \line slope. In making the approximation +% to the desired arrow slope, these macros will work to keep the +% arrow's *vertical* dimension accurate (at the expense +% of the horizontal one, if necessary). This requires the +% opposite strategy from LaTeX's \line and \vector commands, +% where the *horizontal* dimension can always be precisely +% specified. +% +% The macros seem to have the 10pt font size hardcoded in, so +% the arrow embellishments will be on the marginally small side +% in 12pt. +% +% Commands defined in this style file: +% +% \lamsarrow(#1,#2) +% Draws an arrow which extends #1 \unitlengths in the +% x-direction and #2 \unitlengths in the y-direction from the +% current position. #1 and #2 are arbitrary real numbers, +% not both zero. Intended for use in the picture environment. +% +% \lamsvector(#1,#2){#3} +% Has the same effect as \lamsarrow, except its usage is +% completely compatible with LaTeX's \vector command. But +% with \lamsvector, there are no limits on the size of the +% integers #1, #2, and it is OK if they have common factors. +% Only valid LaTeX line slopes will actually be drawn, tho. +% +% \lamsshaft{#1} +% A local declaration which changes the style of the shaft +% of any subsequent lams arrows within the same environment +% or {...} group. The symbol #1 may be one of: +% +% - solid line (default) +% . dashed line +% = long equals sign (no head or tail printed) +% 0 invisible arrow +% ? reset to default +% +% \lamssource{#1} +% \lamstarget{#1} +% Local declarations which change the symbol placed at the +% initial and final points, respectively, of the arrow shaft. +% Affects subsequent lams arrows within the same environment +% or {...} group. For either declaration, the symbol #1 may +% be any one of: +% +% Heads: +% ^ arrow head (default for \lamstarget) +% V arrow tail (default for \lamssource) +% ' left half of arrowhead +% ` right half of arrowhead +% A double arrowhead +% Tails: +% J left fishhook tail +% L right fishhook tail +% S squiggle +% Other: +% 0 no symbol +% ? reset to default +% + +% detente message +\typeout{ * LAMSTEX ARROWS * } +\typeout{ The arrows you are using are courtesy of LamS-TeX, a } +\typeout{ full-featured mathematical typsetting package which its } +\typeout{ creator, at least, believes to be superior to LaTeX. } +\typeout{ You can obtain LamS-TeX by anonymous FTP from most TeX } +\typeout{ archives, or through the TUG user group organization. } +\typeout{ } + +% lams arrow fonts +\font\lamsfont@i=lams1 +\font\lamsfont@ii=lams2 +\font\lamsfont@iii=lams3 +\font\lamsfont@iv=lams4 +\font\lamsfont@v=lams5 + +% arrow geom params +% direction +\newif\ifN@ +\newif\ifE@ +\newif\ifNESW@ +\newif\ifH@ +\newif\ifV@ +% location of source, target +\newdimen\lams@firstx +\newdimen\lams@firsty +\newdimen\lams@lastx +\newdimen\lams@lasty +\newdimen\lams@center %ignore +% shaft char dims +\newdimen\lams@ht +\newdimen\lams@wd + +% misc +\newcount\ten@ \ten@10 + + +%%%%%%%%%%%%%%%%%%%% \lamssource, \lamstarget, \lamsshaft +% +% Used to set arrow style options. +% +% EXTERNAL VARS COMPUTED +% +% \lams@source \lams@target \lams@shaft + +\newcount\lams@source +\newcount\lams@target +\newcount\lams@shaft + +\def\lamssource#1{% + \if#10\lams@source\m@ne\else + \if#1?\lams@source\z@\else + \if#1V\lams@source\tw@\else + \if#1^\lams@source\thr@@\else + \if#1'\lams@source6 \else + \if#1`\lams@source7 \else + \if#1J\lams@source8 \else + \if#1L\lams@source9 \else + \if#1S\lams@source12 \else + \if#1A\lams@source13 \else + \@latexerr{Invalid lamsarrow source style: #1}% + \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi} +\def\lamstarget#1{% + \if#10\lams@target\m@ne\else + \if#1?\lams@target\z@\else + \if#1^\lams@target\tw@\else + \if#1V\lams@target\thr@@\else + \if#1'\lams@target4 \else + \if#1`\lams@target5 \else + \if#1J\lams@target\ten@ \else + \if#1L\lams@target11 \else + \if#1S\lams@target12 \else + \if#1A\lams@target13 \else + \@latexerr{Invalid lamsarrow target style: #1}% + \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi} +\def\lamsshaft#1{% + \if#10\lams@shaft\m@ne\else + \if#1?\lams@shaft\z@\else + \if#1-\lams@shaft\@ne\else + \if#1.\lams@shaft\tw@\else + \if#1=\lams@shaft\thr@@\else + \@latexerr{Invalid lamsarrow shaft style: #1}% + \fi\fi\fi\fi\fi} + + +%%%%%%%%%%%%%%%%%%%% \lams@slope +% +% Utility macro to calculate arrow shaft character in lamstex arrow +% fonts, given the x- and y-dimensions of the raw arrow. +% +% EXTERNAL VARS USED +% +% \lams@firstx \lams@lastx \lams@firsty \lams@lasty +% \ifN@ \ifE@ +% +% EXTERNAL VARS COMPUTED +% +% \lams@tani \lams@tanii \lams@ang +% +% INTERNAL VARS USED +% +% \lams@slopei \lams@slopeii +% \lams@tanip \lams@taniip \lams@slopeip \lams@slopeiip +% \count@ \lams@extra + +\newcount\lams@tani +\newcount\lams@tanip +\newcount\lams@tanii +\newcount\lams@taniip +\newdimen\lams@slopei +\newdimen\lams@slopeip +\newdimen\lams@slopeii +\newdimen\lams@slopeiip +\newcount\lams@ang +\newcount\lams@extra + +\def\lams@slopeselect{% + \\161\\152\\143\\134\\255\\126\\357\\238\\349\\45{10}% + \\56{11}\\11{12}\\65{13}\\54{14}\\43{15}\\32{16}\\53{17}% + \\21{18}\\52{19}\\31{20}\\41{21}\\51{22}\\61{23}} + +\def\lams@slope{{\lams@slopei\lams@lasty + \advance\lams@slopei-\lams@firsty + \ifN@\else\multiply\lams@slopei\m@ne\fi + \lams@slopeii\lams@lastx\advance\lams@slopeii-\lams@firstx + \ifE@\else\multiply\lams@slopeii\m@ne\fi + \ifdim\lams@slopeii<\z@ + \global\lams@tani6 \global\lams@tanii\@ne\global\lams@ang23 + \else + \dimen@\lams@slopei\multiply\dimen@6 + \ifdim\dimen@<\lams@slopeii + \global\lams@tani\@ne\global\lams@tanii6 \global\lams@ang\@ne + \else + \dimen@\lams@slopeii\multiply\dimen@6 + \ifdim\dimen@<\lams@slopei + \global\lams@tani6 \global\lams@tanii\@ne\global\lams@ang23 + \else + \global\lams@tanip\z@\global\lams@taniip\@ne + \def\\##1##2##3{\global\lams@ang##3\relax + \lams@slopeip\lams@slopei\lams@slopeiip\lams@slopeii + \multiply\lams@slopeiip##1\relax + \multiply\lams@slopeip##2\relax + \ifdim\lams@slopeiip<\lams@slopeip + \global\lams@tanip##1\relax\global\lams@taniip##2\relax + \else + \global\lams@tani##1\relax\global\lams@tanii##2\relax + \def\\####1####2####3{}% + \fi}% + \lams@slopeselect + \lams@slopei\lams@lasty\advance\lams@slopei-\lams@firsty + \ifN@\else\multiply\lams@slopei\m@ne\fi + \multiply\lams@slopei\lams@tanii + \multiply\lams@slopei\lams@taniip + \multiply\lams@slopei\tw@ + \count@\lams@tani\multiply\count@\lams@taniip + \lams@extra\lams@tanip\multiply\lams@extra\lams@tanii + \advance\count@\lams@extra + \lams@slopeii\lams@lastx\advance\lams@slopeii-\lams@firstx + \ifE@\else\multiply\lams@slopeii\m@ne\fi + \multiply\lams@slopeii\count@ + \ifdim\lams@slopei<\lams@slopeii + \global\lams@tani\lams@tanip\global\lams@tanii\lams@taniip + \global\advance\lams@ang\m@ne + \fi + \fi + \fi + \fi}% +} + + +%%%%%%%%%%%%%%%%%%%% \lamsarrow, \lamsvector +% +% User macros for lams arrows. They call \lams@arrow, which sets +% up parameters for \lams@harrow, \lams@varrow, and \lams@darrow. +% +% EXTERNAL VARS USED +% +% \lams@source \lams@target +% +% EXTERNAL VARS COMPUTED +% +% \ifNESW@ \ifN@ \ifE@ +% \lams@center \lams@firstx \lams@firsty \lams@lasty +% \lams@wd \lams@ht +% +% INTERNAL VARS USED +% +% \lams@xsize \lams@ysize + +\newdimen\lams@xsize +\newdimen\lams@ysize + +\def\lamsvector(#1,#2)#3{% + \lams@xsize#3\unitlength\relax + \ifnum#1<\z@\multiply\lams@xsize\m@ne\fi + \lams@ysize\lams@xsize + \ifnum#1=\z@ + \lams@xsize\z@ + \ifnum#2<\z@\multiply\lams@ysize\m@ne\fi + \else + \multiply\lams@ysize#2\relax\divide\lams@ysize#1\relax + \fi + \lams@arrow{\lams@xsize}{\lams@ysize}% +} + +\def\lamsarrow(#1,#2){% + \lams@xsize#1\unitlength\relax\lams@ysize#2\unitlength\relax + \lams@arrow{\lams@xsize}{\lams@ysize}% +} + +\def\lams@switchsides{% + \ifnum\lams@source=6\relax\lams@source7\else + \ifnum\lams@source=7\relax\lams@source6\else + \ifnum\lams@source=8\relax\lams@source9\else + \ifnum\lams@source=9\relax\lams@source8\fi\fi\fi\fi\relax + \ifnum\lams@target=4\relax\lams@target5\else + \ifnum\lams@target=5\relax\lams@target4\else + \ifnum\lams@target=\ten@\relax\lams@target11\else + \ifnum\lams@target=11\relax\lams@target\ten@\fi\fi\fi\fi\relax +} + +\def\lams@arrow#1#2{% + \lams@firstx\z@\lams@firsty\z@ + \lams@lastx#1\relax\lams@lasty#2\relax + \lams@center\z@ + % + % compute direction flags + \N@false\E@false\H@false\V@false + \ifdim\lams@lastx>\z@\E@true\fi + \ifdim\lams@lastx=\z@\V@true\fi + \ifdim\lams@lasty>\z@\N@true\fi + \ifdim\lams@lasty=\z@\H@true\fi + \NESW@false + \ifN@\ifE@\NESW@true\fi\else\ifE@\else\NESW@true\fi\fi + % + % fix up one-sided embellishments, depending on direction + \ifdim\lams@lastx<\z@ \lams@switchsides \fi + \ifdim\lams@lastx=\z@ \ifdim\lams@lasty<\z@ \lams@switchsides \fi\fi + % + % compute shaft char info with help of \lams@slope macro + \ifH@\else\ifV@\else + \lams@slope + \ifnum\lams@tani>\lams@tanii + \lams@ht\ten@\p@\lams@wd\ten@\p@ + \multiply\lams@wd\lams@tanii\divide\lams@wd\lams@tani + \else + \lams@wd\ten@\p@\lams@ht\ten@\p@ + \divide\lams@ht\lams@tanii\multiply\lams@ht\lams@tani + \fi + \fi\fi + % + % adjust arrow placement for source and target style + \ifH@\else\ifV@\else + \ifnum\lams@target=\thr@@ + \ifN@\advance\lams@lasty-.3\lams@ht + \else\advance\lams@lasty.3\lams@ht\fi + \fi + \ifnum\lams@source=\tw@ + \ifE@\advance\lams@firstx.3\lams@ht + \else\advance\lams@firstx-.3\lams@ht\fi + \fi + \ifnum\lams@target=12 + \ifN@\advance\lams@lasty-\lams@ht + \else\advance\lams@lasty\lams@ht\fi + \fi + \fi\fi + % + % draw arrow, special-casing horizontal and vertical ones + \ifH@ \lams@harrow + \else\ifV@ \lams@varrow + \else \lams@darrow + \fi\fi +} + + +%%%%%%%%%%%%%%%%%%%% \lams@darrow +% +% Does actual drawing of diagonal arrows, +% with the help of \lams@cos. +% +% EXTERNAL VARS USED +% +% \lams@shaft \lams@source \lams@target +% +% \ifNESW@ \ifN@ \ifE@ (computed by \lams@arrow) +% \lams@center \lams@firstx \lams@firsty \lams@lasty (ibid) +% \lams@wd \lams@ht (computed by \lams@arrow) +% +% \lams@ang \lams@tani \lams@tanii (computed by \lams@slope) +% +% \lamsfont@i \lamsfont@ii \lamsfont@iii \lamsfont@iv \lamsfont@v +% +% INTERNAL VARS USED +% +% \lams@sl (from \lams@ang, used by \lams@cos) +% \lams@S \lams@T (from \lams@ang, \lams@source, \lams@target) +% \lams@shift (+/- \lams@firsty) \lams@adj +% \lams@goal (+/-(\lams@lasty-\lams@firsty)) +% \dimen@ \dimen@ii \count@ (computed by \lams@cos) +% \arrowfont@ \lams@shaftbox \lams@ZERO + +\newdimen\lams@goal +\newdimen\lams@shift +\newdimen\lams@adj +\newcount\lams@T +\newcount\lams@S +\newbox\lams@shaftbox +\newcount\lams@sl +\newbox\lams@ZERO + +\def\lams@next{\ifN@\let\next@\raise\else\let\next@\lower\fi} + +\def\lams@cos#1{% + \ifnum\lams@tani<\lams@tanii + \dimen@#1% + \ifnum\lams@sl<8 \count@9 + \else \ifnum\lams@sl<12 \count@8 + \else \count@7 \fi\fi + \multiply\dimen@\count@\divide\dimen@\ten@ + \dimen@ii\dimen@\multiply\dimen@ii\lams@tani + \divide\dimen@ii\lams@tanii + \else + \dimen@ii#1% + \count@-\lams@sl\advance\count@24 + \ifnum\count@<8 \count@9 \else \ifnum\count@<12 \count@8 + \else\count@7 \fi\fi + \multiply\dimen@ii\count@\divide\dimen@ii\ten@ + \dimen@\dimen@ii\multiply\dimen@\lams@tanii + \divide\dimen@\lams@tani + \fi +} + +\def\lams@darrow{\lams@sl\lams@ang + \ifNESW@ + \ifnum\lams@ang<\ten@ + \let\arrowfont@\lamsfont@i\global\advance\lams@ang\m@ne + \global\multiply\lams@ang13 + \else + \ifnum\lams@ang<19 + \let\arrowfont@\lamsfont@ii\global\advance\lams@ang-\ten@ + \global\multiply\lams@ang13 + \else + \let\arrowfont@\lamsfont@iii\global\advance\lams@ang-19 + \global\multiply\lams@ang13 + \fi\fi + \lams@T\lams@ang + \else + \ifnum\lams@ang<5 + \let\arrowfont@\lamsfont@iii\global\advance\lams@ang\m@ne + \global\multiply\lams@ang13 \global\advance\lams@ang65 + \else + \ifnum\lams@ang<14 + \let\arrowfont@\lamsfont@iv\global\advance\lams@ang-5 + \global\multiply\lams@ang13 + \else + \ifnum\lams@ang<23 + \let\arrowfont@\lamsfont@v\global\advance\lams@ang-14 + \global\multiply\lams@ang13 + \else + \let\arrowfont@\lamsfont@i\global\lams@ang117 + \fi\fi\fi + \ifnum\lams@ang=117 \lams@T115 \else\lams@T\lams@ang\fi + \fi + \lams@S\lams@T + \ifE@ + \ifnum\lams@target=\z@\advance\lams@T\tw@ + \else\ifnum\lams@target=13 \advance\lams@T\tw@ + \else\advance\lams@T\lams@target\fi\fi + \ifnum\lams@source=\z@ + \else\ifnum\lams@source=13 \advance\lams@S\thr@@ + \else\advance\lams@S\lams@source\fi\fi + \else + \ifcase\lams@target\advance\lams@T\thr@@\or + \or\advance\lams@T\thr@@\or + \advance\lams@T\tw@\or\advance\lams@T6 \or\advance\lams@T7 + \or\or\or\or\or\advance\lams@T8 \or\advance\lams@T9 \or + \advance\lams@T12 \or\advance\lams@T\thr@@\fi + \ifcase\lams@source\or\or\advance\lams@S\thr@@ + \or\advance\lams@S\tw@\or\or\or\advance\lams@S4 + \or\advance\lams@S5 \or\advance\lams@S\ten@ + \or\advance\lams@S11 \or\or\or\advance\lams@S12 + \or\advance\lams@S\tw@\fi + \fi + \ifcase\lams@shaft\or\or\global\advance\lams@ang\@ne\else\fi + \ifN@\lams@shift\lams@firsty\else\lams@shift-\lams@firsty\fi + \ifE@\else\advance\lams@shift\lams@ht\fi + \lams@goal\lams@lasty\advance\lams@goal-\lams@firsty + \ifN@\else\multiply\lams@goal\m@ne\fi + \setbox\lams@shaftbox\hbox{\arrowfont@\char\lams@ang}% + \ifnum\lams@shaft=\thr@@ + \lams@cos{1.5\p@}% + \setbox\lams@shaftbox\hbox to\wd\lams@shaftbox{\arrowfont@ + \rlap{\hskip\dimen@ii + \smash{\ifNESW@\let\next@\lower\else\let\next@\raise\fi + \next@\dimen@\hbox{\arrowfont@\char\lams@ang}}}% + \rlap{\hskip-\dimen@ii + \smash{\ifNESW@\let\next@\raise\else\let\next@\lower\fi + \next@\dimen@\hbox{\arrowfont@\char\lams@ang}}}\hfil}% + \fi + \rlap{\smash{\hskip\lams@center\hskip\lams@firstx + \ifnum\lams@shaft=\m@ne + \else + \ifnum\lams@shaft=\thr@@ + \else + \ifnum\lams@source=\m@ne + \else + \ifnum\lams@source=\z@ + \else + \setbox\lams@ZERO\hbox{% + \ifnum\lams@ang=117 \lamsfont@v\else\arrowfont@\fi + \char\lams@S}% + \ifNESW@ + \ifnum\lams@source=\tw@ + \dimen@\lams@shift\advance\dimen@-\lams@ht + \ifN@\hskip-\wd\lams@ZERO\fi + \lams@next + \next@\dimen@\copy\lams@ZERO + \ifN@\else\hskip-\wd\lams@ZERO\fi + \else + \lams@next + \ifN@\else\hskip-\wd\lams@ZERO\fi + \next@\lams@shift\copy\lams@ZERO + \ifN@\hskip-\wd\lams@ZERO\fi + \fi + \ifnum\lams@source=12 + \advance\lams@shift\lams@ht\advance\lams@goal-\lams@ht + \ifN@\hskip\wd\lams@ZERO\else\hskip-\wd\lams@ZERO\fi + \fi + \ifnum\lams@source=13 + \lams@cos{\thr@@\p@}% + \ifN@\hskip\dimen@\else\hskip-\wd\lams@ZERO\hskip-\dimen@\fi + \lams@adj\lams@shift\advance\lams@adj\dimen@ii + \lams@next + \next@\lams@adj\copy\lams@ZERO + \ifN@\hskip-\dimen@\hskip-\wd\lams@ZERO\else\hskip\dimen@\fi + \fi + \else + \ifN@\hskip-\wd\lams@ZERO\fi + \ifnum\lams@source=\tw@ + \ifN@\hskip\wd\lams@ZERO\else\hskip-\wd\lams@ZERO\fi + \dimen@\lams@shift\advance\dimen@-\lams@ht + \lams@next + \next@\dimen@\copy\lams@ZERO + \ifN@\hskip-\wd\lams@ZERO\fi + \else + \lams@next + \next@\lams@shift\copy\lams@ZERO + \ifN@\else\hskip-\wd\lams@ZERO\fi + \fi + \ifnum\lams@source=12 + \advance\lams@shift\lams@ht\advance\lams@goal-\lams@ht + \ifN@\hskip-\wd\lams@ZERO\else\hskip\wd\lams@ZERO\fi + \fi + \ifnum\lams@source=13 + \lams@cos{\thr@@\p@}% + \ifN@\hskip-\wd\lams@ZERO\hskip-\dimen@\else\hskip\dimen@\fi + \lams@adj\lams@shift\advance\lams@adj\dimen@ii + \lams@next + \next@\lams@adj\copy\lams@ZERO + \ifN@\hskip\dimen@\else\hskip-\dimen@\hskip-\wd\lams@ZERO\fi + \fi + \fi + \fi\fi\fi\fi + \ifnum\lams@shaft=\m@ne + \else + \loop + \ifdim\lams@goal>\lams@ht + \ifE@\else\hskip-\lams@wd\fi + \lams@next + \next@\lams@shift\copy\lams@shaftbox + \ifE@\else\hskip-\lams@wd\fi + \advance\lams@shift\lams@ht\advance\lams@goal-\lams@ht + \repeat + \ifdim\lams@goal>\z@ + \dimen@\lams@ht\advance\dimen@-\lams@goal + \divide\dimen@\lams@tani\multiply\dimen@\lams@tanii + \ifE@\hskip-\dimen@\else\hskip-\lams@wd\hskip\dimen@\fi + \lams@adj\lams@shift\advance\lams@adj-\lams@ht + \advance\lams@adj\lams@goal + \lams@next + \next@\lams@adj\copy\lams@shaftbox + \ifE@\else\hskip-\lams@wd\fi + \else + \lams@adj\lams@shift\advance\lams@adj-\lams@ht + \fi + \fi + \ifnum\lams@shaft=\m@ne + \else + \ifnum\lams@shaft=\thr@@ + \else + \ifnum\lams@target=\m@ne + \else + \setbox\lams@ZERO + \hbox{\ifnum\lams@ang=117 + \lamsfont@v\else\arrowfont@\fi\char\lams@T}% + \ifnum\lams@target=\thr@@ + \advance\lams@adj\lams@ht + \ifE@\else\ifN@\hskip-\lams@wd\else\hskip-\wd\lams@ZERO\fi\fi + \else + \ifnum\lams@target=12 + \advance\lams@adj\lams@ht + \ifE@\else\ifN@\hskip-\lams@wd\else\hskip-\wd\lams@ZERO\fi\fi + \else + \ifE@\hskip-\wd\lams@ZERO\fi + \fi\fi + \lams@next + \next@\lams@adj\copy\lams@ZERO + \ifnum\lams@target=13 + \hskip-\wd\lams@ZERO + \lams@cos{\thr@@\p@}% + \ifE@\hskip-\dimen@\else\hskip\dimen@\fi + \advance\lams@adj-\dimen@ii + \lams@next + \next@\lams@adj\box\lams@ZERO + \fi + \fi\fi\fi}}% +} + + +%%%%%%%%%%%%%%%%%%%% \lams@harrow +% +% Performs actual drawing of horizontal arrows. +% +% EXTERNAL VARS USED +% +% \lams@shaft \lams@source \lams@target +% +% \ifE@ (computed by \lams@arrow) +% \lams@center \lams@firstx \lams@lastx (ibid) +% \lamsfont@i \lamsfont@ii (lams fonts) +% +% \lams@axis (to correct centering of head/tail symbol chars) +% +% INTERNAL VARS USED +% +% \dimen@ \dimen@ii +% \leads@ \lams@ZERO + +\newdimen\lams@axis \lams@axis90\p@\divide\lams@axis36 + +\def\lams@harrow{\dimen@\lams@lastx\advance\dimen@-\lams@firstx + \ifE@\let\next@\rlap\else\multiply\dimen@\m@ne\let\next@\llap\fi + \next@{\ifE@\hskip\lams@center\hskip\lams@firstx\fi + \smash{\raise-\lams@axis\hbox to\dimen@ + {\lamsfont@ii + \ifnum\lams@shaft=\m@ne\else\ifnum\lams@shaft=\thr@@\else + \ifE@ + \ifnum\lams@source=\m@ne + \else + \ifcase\lams@source\or\or\char118 \or\char117 \or + \or\or\char119 \or\char120 \or\char121 \or\char122 \or + \or\or\lamsfont@i\char125 \or + \char117 \hskip\thr@@\p@\char117 \hskip-\thr@@\p@\fi + \fi + \else + \ifnum\lams@target=\m@ne + \else + \ifcase\lams@target\char117 \or\or\char117 \or\char118 \or + \char119 \or\char120 \or\or\or\or\or\char121 \or + \char122 \or\lamsfont@i\char125 + \or\char117 \hskip\thr@@\p@\char117 \hskip-\thr@@\p@\fi + \fi + \fi + \fi\fi + \dimen@\lams@axis\advance\dimen@.2\p@ + \dimen@ii\lams@axis\advance\dimen@ii-.2\p@ + \ifnum\lams@shaft=\m@ne + \let\leads@\null + \else + \ifcase\lams@shaft + \def\leads@{\hrule\@height\dimen@\@depth-\dimen@ii}\or + \def\leads@{\hrule\@height\dimen@\@depth-\dimen@ii}\or + \def\leads@{\hbox to\ten@\p@{% + \leaders\hrule\@height\dimen@\@depth-\dimen@ii\hfil + \hfil + \leaders\hrule\@height\dimen@\@depth-\dimen@ii + \hskip\z@ plus2fil\relax + \hfil + \leaders\hrule\@height\dimen@\@depth-\dimen@ii\hfil}}\or + \def\leads@{\hbox{\hbox to\ten@\p@{% + \dimen@\lams@axis\advance\dimen@1.2\p@ + \dimen@ii\dimen@\advance\dimen@ii-.4\p@ + \leaders\hrule\@height\dimen@\@depth-\dimen@ii\hfil}% + \kern-\ten@\p@ + \hbox to\ten@\p@{\dimen@\lams@axis\advance\dimen@-1.2\p@ + \dimen@ii\dimen@\advance\dimen@ii-.4\p@ + \leaders\hrule\@height\dimen@\@depth-\dimen@ii\hfil}}}\fi + \fi + \cleaders\leads@\hfil + \ifnum\lams@shaft=\m@ne\else\ifnum\lams@shaft=\thr@@\else + \lamsfont@i + \ifE@ + \ifnum\lams@target=\m@ne + \else + \ifcase\lams@target\char119 \or\or\char119 \or\char120 \or + \char121 \or\char122 \or \or\or\or\or\char123 \or + \char124 \or\char125 \or + \char119 \hskip-\thr@@\p@\char119 \hskip\thr@@\p@\fi + \fi + \else + \ifcase\lams@source\or\or\char120 \or\char119 \or + \or\or\char121 \or\char122 \or\char123 \or + \char124 \or\or\or\char125 \or + \char119 \hskip-\thr@@\p@\char119 \hskip\thr@@\p@\fi + \fi + \fi\fi}}% + \ifE@\else\hskip-\lams@firstx\hskip-\lams@center\fi}% +} + + +%%%%%%%%%%%%%%%%%%%% \lams@varrow +% +% Performs actual drawing of vertical arrows. +% +% EXTERNAL VARS USED +% +% \lams@shaft \lams@source \lams@target +% +% \ifN@ (computed by \lams@arrow) +% \lams@center \lams@firsty \lams@lasty (ibid) +% +% \lamsfont@iii \lamsfont@iv (lams fonts) +% +% INTERNAL VARS USED +% +% \dimen@ \dimen@ii +% \leads@ \lams@ZERO + +\def\lams@varrow{\dimen@\lams@lasty\advance\dimen@-\lams@firsty + \ifN@\else\multiply\dimen@\m@ne\fi + \setbox\lams@ZERO\vbox to\dimen@ + {\ifnum\lams@shaft=\m@ne\else\ifnum\lams@shaft=\thr@@\else + \hbox{\lamsfont@iii + \ifN@ + \ifnum\lams@target=\m@ne + \else + \ifcase\lams@target\char117 \or\or\char117 \or + \char118 \or\char119 \or\char120 \or\or\or\or + \or\char121 \or\char122 \or\char123 \or + \vbox{\hbox{\char117}\nointerlineskip\vskip\thr@@\p@ + \hbox{\char117}\vskip-\thr@@\p@}\fi + \fi + \else + \ifcase\lams@source\or\or\char118 \or\char117 \or\or + \or\char119 \or\char120 \or\char121 \or\char122 \or + \or\or\char123 \or + \vbox{\hbox{\char117}\nointerlineskip\vskip\thr@@\p@ + \hbox{\char117}\vskip-\thr@@\p@}\fi + \fi}% + \nointerlineskip + \fi\fi + \ifnum\lams@shaft=\m@ne + \let\leads@\null + \else + \ifcase\lams@shaft\let\leads@\vrule\or\let\leads@\vrule\or + \def\leads@{\vbox to\ten@\p@{% + \hrule\@height1.67\p@\@depth\z@\@width.4\p@ + \vfil + \hrule\@height3.33\p@\@depth\z@\@width.4\p@ + \vfil + \hrule\@height1.67\p@\@depth\z@\@width.4\p@}}\or + \def\leads@{\hbox{\vrule\@height\p@\hskip\tw@\p@\vrule}}\fi + \fi + \cleaders\leads@\vfill\nointerlineskip + \ifnum\lams@shaft=\m@ne\else\ifnum\lams@shaft=\thr@@\else + \hbox{\lamsfont@iv + \ifN@ + \ifcase\lams@source\or\or\char118 \or\char117 \or + \or\or\char119 \or\char120 \or\char121 \or\char122 \or + \or\or\lamsfont@iii\char123 \or + \vbox{\hbox{\char117}\nointerlineskip\vskip-\thr@@\p@ + \hbox{\char117}\vskip\thr@@\p@}\fi + \else + \ifnum\lams@target=\m@ne + \else + \ifcase\lams@target\char117 \or\or\char117 \or\char118 \or + \char119 \or\char120 \or\or\or\or\or\char121 \or + \char122 \or\lamsfont@iii\char123 \or + \vbox{\hbox{\char117}\nointerlineskip\vskip-\thr@@\p@ + \hbox{\char117}\vskip\thr@@\p@}\fi + \fi + \fi}% + \fi\fi}% + \ifN@ + \dimen@ii\lams@firsty + \else + \dimen@ii-\lams@firsty\advance\dimen@ii\ht\lams@ZERO + \multiply\dimen@ii\m@ne + \fi + \rlap{\smash{\hskip\lams@center\raise\dimen@ii\box\lams@ZERO}}% +} + + diff --git a/Master/texmf-dist/tex/latex/pb-diagram/pb-diagram.sty b/Master/texmf-dist/tex/latex/pb-diagram/pb-diagram.sty new file mode 100644 index 00000000000..eacab0d5778 --- /dev/null +++ b/Master/texmf-dist/tex/latex/pb-diagram/pb-diagram.sty @@ -0,0 +1,963 @@ +% pb-diagram.sty: LaTeX commutative diagram macros +% Author: Paul Burchard <burchard@pobox.com> +% Version Number: 5.0 +% Version Date: 20 Oct 1998 +% +% Copyright (c) 1990, 1992, 1995, 1998 by Paul Burchard +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. +% +% Please see documentation file "pb-manual.tex" for an +% explanation of how to use the "diagram" environment. +% +% For those not inclined to read manuals, here is a short example: +% +% \[ +% \begin{diagram} +% a b* \node{A} \arrow{e,t}{a} +% A ---> B* ---> C \arrow{s,l}{c} \arrow{ese} +% | \____ _____/ | \node{B^*} \arrow{e,t}{b^*} +% c | ___X____ | d \node{C} \arrow{s,r}{d} \arrow{wsw}\\ +% v `/_ _\' v \node{D} \arrow[2]{e,b}{e} +% D -----------> E \node[2]{E} +% e \end{diagram} +% \] +% +% I would like to acknowledge inspiration from a macro package +% of Marc-Paul van der Hulst, and the thorough topological +% torture-testing of this package by Bill Richter. +% +% +% ---USER-ADJUSTABLE PARAMETERS--- +% +\newskip\dgARROWLENGTH \dgARROWLENGTH=2.5em\relax +\newskip\dgTEXTARROWLENGTH \dgTEXTARROWLENGTH=1.1em\relax +\newskip\dgHORIZPAD \dgHORIZPAD=1em\relax +\newskip\dgVERTPAD \dgVERTPAD=2ex\relax +\newskip\dgLABELOFFSET \dgLABELOFFSET=.7ex\relax +\newcount\dgARROWPARTS \dgARROWPARTS=4\relax +\newcommand{\dgeverynode}{\displaystyle} +\newcommand{\dgeverylabel}{\scriptstyle} +\newif\ifdgVERBOSE \dgVERBOSEtrue +% +% for plain LaTeX mode +\newskip\dgDOTSPACING \dgDOTSPACING=0.35em +\newskip\dgDOTSIZE \dgDOTSIZE=1.5\fontdimen8\tenln +% +% obsolete---for compatibility with version 1.0 +\newcount\dgMAXSQUARE \dgMAXSQUARE=4\relax +\newcount\dgMINDBLSQ \dgMINDBLSQ=10\relax +\newskip\dgCOLUMNWIDTH \dgCOLUMNWIDTH=2em\relax +% +% +% ----------------------------------------------------------------- +% -------------------------CUSTOMIZABLE CODE----------------------- +% ----------------------------------------------------------------- +% +% ### Do not change this file!!! Create your own style file to ### +% ### override or add to these definitions. ### +% +% +% ---ARROW STYLE OPTIONS--- +%. +% The \dgo@XXX commands set arrow geometry and style parameters +% such as \dg@VECTOR and \dg@LBLPOS. The \dgo@ command should +% set default values for all option parameters. +% +% See sample customizations below for more options. +% +\chardef\f@ur=4 +\@namedef{dgo@}{\let\dg@VECTOR=\vector + \dg@LBLPOS=\dgARROWPARTS \divide\dg@LBLPOS\tw@}% +\@namedef{dgo@-}{\let\dg@VECTOR=\line}% +\@namedef{dgo@!}{\let\dg@VECTOR=\dg@novector}% +\@namedef{dgo@1}{\dg@LBLPOS=\@ne\relax}% +\@namedef{dgo@2}{\dg@LBLPOS=\tw@\relax}% +\@namedef{dgo@3}{\dg@LBLPOS=\thr@@\relax}% +\@namedef{dgo@4}{\dg@LBLPOS=\f@ur\relax}% +\@namedef{dgo@5}{\dg@LBLPOS=5\relax}% +\@namedef{dgo@6}{\dg@LBLPOS=6\relax}% +\@namedef{dgo@7}{\dg@LBLPOS=7\relax}% +\@namedef{dgo@8}{\dg@LBLPOS=8\relax}% +\@namedef{dgo@9}{\dg@LBLPOS=9\relax}% +% +% +% ---ARROW TYPES (directions)--- +%. +% These macros specify the geometry of a simple arrow in +% grid coordinates, in the style of LaTeX's \vector command. +% They set the parameters: +% \dg@DX, \dg@DY, \dg@SIZE, +% +\def\dgt@e{\dg@DX=\@ne \dg@DY=\z@ \dg@SIZE=\@ne}% +\def\dgt@w{\dg@DX=\m@ne \dg@DY=\z@ \dg@SIZE=\@ne}% +\def\dgt@n{\dg@DX=\z@ \dg@DY=\@ne \dg@SIZE=\@ne}% +\def\dgt@s{\dg@DX=\z@ \dg@DY=\m@ne \dg@SIZE=\@ne}% +\def\dgt@ne{\dg@DX=\@ne \dg@DY=\@ne \dg@SIZE=\@ne}% +\def\dgt@se{\dg@DX=\@ne \dg@DY=\m@ne \dg@SIZE=\@ne}% +\def\dgt@nw{\dg@DX=\m@ne \dg@DY=\@ne \dg@SIZE=\@ne}% +\def\dgt@sw{\dg@DX=\m@ne \dg@DY=\m@ne \dg@SIZE=\@ne}% +\def\dgt@nne{\dg@DX=\@ne \dg@DY=\tw@ \dg@SIZE=\@ne}% +\def\dgt@nnw{\dg@DX=\m@ne \dg@DY=\tw@ \dg@SIZE=\@ne}% +\def\dgt@sse{\dg@DX=\@ne \dg@DY=-\tw@ \dg@SIZE=\@ne}% +\def\dgt@ssw{\dg@DX=\m@ne \dg@DY=-\tw@ \dg@SIZE=\@ne}% +\def\dgt@ene{\dg@DX=\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@ese{\dg@DX=\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +\def\dgt@wnw{\dg@DX=-\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@wsw{\dg@DX=-\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +% +% +% ---GRID GEOMETRY--- +% +% Computes the grid geom params \dg@XGRID, \dg@YGRID, and +% \unitlength, with the result that unit grid rects will +% be 1000*XGRID by 1000*YGRID \unitlengths in size. +% Don't set XGRID, YGRID too big or TeX will get arithmetic +% overflow. Also, the possible aspect ratios XGRID:YGRID +% are always restricted by the slopes of the arrow font. +% +% As inputs, use the pre-supplied values of XGRID and YGRID, +% which are the calculated required minimum dims for +% unit grid rects (in sp's). +% +\def\dggeometry{% + \dg@ZTEMP=\dg@XGRID \multiply\dg@ZTEMP\tw@ + \ifnum\dg@YGRID=\z@ \dg@ZTEMP=\tw@ + \else \divide\dg@ZTEMP\dg@YGRID \fi + % font limit cutoffs + \ifnum\dg@ZTEMP>\f@ur \dg@ZTEMP=\f@ur \fi + \ifnum\dg@ZTEMP<\@ne \dg@ZTEMP=\@ne \fi + \unitlength=1sp\relax + \ifnum\dg@ZTEMP<\tw@ + % round aspect ratio up toward 2:2, widen rect + \advance\dg@ZTEMP\@ne + \multiply\unitlength\dg@YGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@YGRID + \else + % round aspect ratio down toward 2:2, tallen rect + \multiply\unitlength\dg@XGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@XGRID + \fi + \divide\unitlength\@m\relax} +% +% Bugwards-compatibility mode for versions 3.6 and earlier. +% This mode is enabled with \let\dggeometry=\dgoldgeometry +% +\def\dgoldgeometry{% + \dg@ZTEMP=\dg@XGRID \multiply\dg@ZTEMP\tw@ + \ifnum\dg@YGRID=\z@ \dg@ZTEMP=\tw@ + \else \divide\dg@ZTEMP\dg@YGRID \fi + % font limit cutoffs + \ifnum\dg@ZTEMP>\f@ur \dg@ZTEMP=\f@ur \fi + \ifnum\dg@ZTEMP<\@ne \dg@ZTEMP=\@ne \fi + % The following calculation is garbled! + \unitlength=2sp\relax + \ifnum\dg@ZTEMP<\tw@ + % round aspect ratio up toward 2:2, widen rect + \advance\dg@ZTEMP\@ne + \multiply\unitlength\dg@YGRID + \else + % round aspect ratio down toward 2:2, tallen rect + \multiply\unitlength\dg@XGRID \divide\unitlength\dg@ZTEMP + \fi + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@YGRID \divide\unitlength\@m\relax} +% +% +% +% ---SAMPLE CUSTOMIZATION: TWO-HEADED ARROWS FOR PLAIN LaTeX--- +% +% Two-headed arrow command that works like \vector. +% Uses temp vars XTEMP, YTEMP. +% Usage: \dg@twoheadedvector(DX,DY){SIZE} +% +\@namedef{dgo@<>}{\let\dg@VECTOR=\dg@twoheadedvector}% + +\def\dg@twoheadedvector(#1,#2)#3{% + \begingroup + \dg@XTEMP=#1\relax\multiply\dg@XTEMP\m@ne\relax + \dg@YTEMP=#2\relax\multiply\dg@YTEMP\m@ne\relax + \begin{picture}(0,0)% + \thinlines + \put(0,0){\vector(#1,#2){#3}}% + \put(0,0){\vector(\dg@XTEMP,\dg@YTEMP){0}}% + \end{picture}% + \endgroup}% +% +% +% +% ---SAMPLE CUSTOMIZATION: DOTTED ARROWS FOR PLAIN LaTeX--- +% +% Dotted arrow command that works like \vector. +% Uses temp vars XTEMP, YTEMP, ZTEMP, XEND, WEND. +% Usage: \dg@dotvector(DX,DY){SIZE} +% +\@namedef{dgo@..}{\let\dg@VECTOR=\dg@dotvector}% + +\def\dg@dotvector(#1,#2)#3{% + \begingroup + \dg@XTEMP=#1\relax \dg@YTEMP=#2\relax + \let\dg@NDOTS=\dg@XEND \let\dg@DOTDIAM=\dg@WEND + % Find number of dots: make x-spacing be DOTSPACING for arrows + % of |slope| <= 1, and make y-spacing be DOTSPACING otherwise. + % Thus, true spacing is never more than 30% off from DOTSPACING. + \dg@NDOTS=\unitlength \multiply\dg@NDOTS #3\relax + \dg@ZTEMP=\dg@YTEMP \dg@changesign\dg@YTEMP\dg@ZTEMP + \ifnum\dg@XTEMP>\z@ + \ifnum\dg@YTEMP>\dg@XTEMP + \multiply\dg@NDOTS\dg@YTEMP \divide\dg@NDOTS\dg@XTEMP \fi + \else\ifnum\dg@XTEMP<\z@ + \ifnum\dg@YTEMP>-\dg@XTEMP + \multiply\dg@NDOTS\dg@YTEMP \divide\dg@NDOTS-\dg@XTEMP \fi + \fi\fi + \dg@YTEMP=\dg@ZTEMP + \divide\dg@NDOTS\dgDOTSPACING + \ifnum\dg@NDOTS>\z@\else \dg@NDOTS=\@ne \fi + % Compute increment vector between dots; round to \unitlength's. + % Use NDOTS not DOTSPACING, since DOTSPACING not exactly obeyed. + \dg@ZTEMP=\unitlength \multiply\dg@ZTEMP #3\relax + \divide\dg@ZTEMP\dg@NDOTS + \ifnum\dg@XTEMP=\z@ + \dg@changesign\dg@ZTEMP\dg@YTEMP \dg@YTEMP=\dg@ZTEMP + \else + \dg@changesign\dg@ZTEMP\dg@XTEMP + \multiply\dg@YTEMP\dg@ZTEMP \divide\dg@YTEMP\dg@XTEMP + \dg@XTEMP=\dg@ZTEMP + \fi + \divide\dg@XTEMP\unitlength \divide\dg@YTEMP\unitlength + % Draw dotted line with \multiput + % and arrowhead as zero-length \vector + \begin{picture}(0,0)% + \dg@DOTDIAM=\dgDOTSIZE \divide\dg@DOTDIAM\unitlength + \multiput(0,0)(\dg@XTEMP,\dg@YTEMP){\dg@NDOTS}{% + \circle*{\dg@DOTDIAM}}% + \multiply\dg@XTEMP\dg@NDOTS \multiply\dg@YTEMP\dg@NDOTS + \put(\dg@XTEMP,\dg@YTEMP){\vector(#1,#2){0}}% + \end{picture}% + \endgroup}% +% +% +% ---------------------------------------------------------------- +% ----------------------LaTeX ENHANCEMENTS------------------------ +% ---------------------------------------------------------------- +% +% +% Allow user-defined commands and environments to have an +% optional first arg. +% +% For environments, also allow ``*-form'' which ignores spaces +% after the \end{...} command. (P.S. LaTeX2e has now usurped the +% ``*-form'' for other purposes in its \newenvironment macro.) +% +% Usage: +% \newoptcommand{\COMMAND}{DEFAULT}[NARGS]{TEXT} +% \renewoptcommand{\COMMAND}{DEFAULT}[NARGS]{TEXT} +% \newoptenvironment{NAME}{DEFAULT}[NARGS]{B_TEXT}{E_TEXT} +% \newoptenvironment*{NAME}{DEFAULT}[NARGS]{B_TEXT}{E_TEXT} +% \renewoptenvironment{NAME}{DEFAULT}[NARGS]{B_TEXT}{E_TEXT} +% \renewoptenvironment*{NAME}{DEFAULT}[NARGS]{B_TEXT}{E_TEXT} +% +% For example, after defining +% \newoptcommand{\glug}{defval}[2]{% +% First is ``#1'', 2nd is ``#2''.} +% the user can do +% \glug{hahaha}\\ +% \glug[oof]{bzzzz} +% to get +% First is ``defval'', 2nd is ``hahaha''. +% First is ``oof'', 2nd is ``bzzzz''. +% +\def\newoptcommand#1#2{% + \@ifnextchar [{\@optargdef#1#2}{\@optargdef#1#2[1]}} + +\def\renewoptcommand#1#2{% + \edef\@tempa{\expandafter\@cdr\string#1\@nil}% + \@ifundefined{\@tempa}{% + \@latexerr{\string#1\space undefined}\@ehc}{}% + \@ifnextchar [{\@reoptargdef#1#2}{\@reoptargdef#1#2[1]}} + +\long\def\@optargdef#1#2[#3]#4{% + \@ifdefinable #1{\@reoptargdef#1#2[#3]{#4}}} + +\long\def\@reoptargdef#1#2[#3]#4{% + \@tempcnta#3\relax \@tempcntb \@ne + \let#1\relax \let\@tempa\relax + \edef\@tempb{\long\def\csname\string#1\endcsname + [\@tempa\the\@tempcntb]}% + \advance\@tempcntb \@ne \advance\@tempcnta \m@ne + \@whilenum\@tempcnta>0\do{% + \edef\@tempb{\@tempb\@tempa\the\@tempcntb}% + \advance\@tempcntb \@ne \advance\@tempcnta \m@ne}% + \let\@tempa=##\@tempb{#4}\let\@tempa\relax + \def#1{\@ifnextchar [{\csname\string#1\endcsname}{% + \csname\string#1\endcsname[#2]}}} + +\def\newoptenvironment{% + \@ifnextchar *{\@@newoptenv{\global\@ignoretrue}}{% + \@@newoptenv{}*}} + +\def\@@newoptenv#1*#2#3{% + \@ifnextchar [{\@newoptenv{#1}{#2}{#3}}{% + \@newoptenv{#1}{#2}{#3}[0]}} + +\long\def\@newoptenv#1#2#3[#4]#5#6{% + \expandafter\newoptcommand\csname#2\endcsname{#3}[#4]{#5}% + \expandafter\long\expandafter\def\csname end#2\endcsname{#6#1}} + +\def\renewoptenvironment{% + \@ifnextchar *{\@@renewoptenv{\global\@ignoretrue}}{% + \@@renewoptenv{}*}} + +\def\@@renewoptenv#1*#2#3{% + \@ifnextchar [{\@renewoptenv{#1}{#2}{#3}}{% + \@renewoptenv{#1}{#2}{#3}[0]}} + +\long\def\@renewoptenv#1#2#3[#4]#5#6{% + \expandafter\renewoptcommand\csname#2\endcsname{#3}[#4]{#5}% + \expandafter\long\expandafter\def\csname end#2\endcsname{#6#1}} + +% +% +% ---------------------------------------------------------------- +% -------------------------CORE CODE------------------------------ +% ---------------------------------------------------------------- +% +% +% ---INTERNAL VARIABLES--- +% +\newcount\dg@HORIZ \newcount\dg@VERT +\newcount\dg@XLPAD \newcount\dg@YBPAD +\newcount\dg@XRPAD \newcount\dg@YTPAD +\newcount\dg@X \newcount\dg@Y +\newcount\dg@XGRID \newcount\dg@YGRID +\newcount\dg@SIZE +\newcount\dg@USERSIZE +\newcount\dg@DX \newcount\dg@DY +\newcount\dg@XLBL \newcount\dg@YLBL +\newcount\dg@XOFFSET \newcount\dg@YOFFSET +\newcount\dg@LBLOFF +\newcount\dg@XLBLOFF \newcount\dg@YLBLOFF +\newcount\dg@LBLPOS +\newcount\dg@XTEMP \newcount\dg@YTEMP +\newcount\dg@ZTEMP +\newcount\dg@XNODE \newcount\dg@YNODE +\newcount\dg@XEND \newcount\dg@YEND +\newcount\dg@WEND \newcount\dg@HEND +\newcount\dg@COUNT +\newbox\dg@NODEBOX +\newbox\dg@LABONEBOX \newbox\dg@LABTWOBOX +% +% +% ---THE DIAGRAM ENVIRONMENT--- +% +% Ignores spaces following the \end{diagram}, +% just like most LaTeX built-in environments do (thus the `*'). +% If optional arg supplied, reverts to version 1.0 behavior. +% +\newoptenvironment*{diagram}{}[1]{% + \ifdgVERBOSE + \global\advance\dg@COUNT\@ne + \message{[diagram \the\dg@COUNT}% + \fi + \let\node=\dg@node \let\\=\dg@cr \let\arrow=\dg@arrow + % + % COMPATIBILITY MODE FOR VERSION 1.0. + % + % If opt arg given, use it as "BIGNODE" in old-style grid + % geometry calculation. + \def\dg@BIGNODE{#1}% + \ifx\dg@BIGNODE\@empty\else + \setbox\dg@NODEBOX=\hbox{$\dgeverynode{#1}$}% + \dg@XTEMP=\wd\dg@NODEBOX + \dg@YTEMP=\ht\dg@NODEBOX \advance\dg@YTEMP\dp\dg@NODEBOX + \ifnum\dg@YTEMP=\z@ \dg@ZTEMP=\z@ + \else \dg@ZTEMP=\dg@XTEMP \divide\dg@ZTEMP\dg@YTEMP\fi + \ifnum\dg@ZTEMP>\dgMAXSQUARE + \ifnum\dg@ZTEMP<\dgMINDBLSQ + \dg@XGRID=\thr@@ \dg@YGRID=\tw@ + \else \dg@XGRID=\tw@ \dg@YGRID=\@ne \fi + \else \dg@XGRID=\@ne \dg@YGRID=\@ne \fi + \advance\dg@XTEMP\dgHORIZPAD \advance\dg@YTEMP\dgVERTPAD + \dg@XLPAD=\dg@XTEMP \divide\dg@XLPAD\tw@ + \dg@XRPAD=\dg@XTEMP \divide\dg@XRPAD\tw@ + \dg@YBPAD=\dg@YTEMP \divide\dg@YBPAD\tw@ + \dg@YTPAD=\dg@YTEMP \divide\dg@YTPAD\tw@ + \advance\dg@XTEMP\dgARROWLENGTH + \divide\dg@XTEMP\dg@XGRID \divide\dg@XTEMP\@m + \unitlength=1sp\relax \multiply\unitlength\dg@XTEMP + \fi + % + % PASS (1): SAVE UP NODES AND ARROWS. + % + \ifdgVERBOSE \message{.}\fi + \dg@X=-\@ne \dg@Y=\z@ \dg@HORIZ=\z@\relax + \let\dg@SLIST=\@empty + \let\dg@NLIST=\@empty \let\dg@ALIST=\@empty + \let\dg@PASS=\dg@savepass +}{%\enddiagram + % Compute size of diagram. + \dg@VERT=-\dg@Y\relax + % + % PASS (2): CALCULATE GRID GEOMETRY. + % Since arrows may terminate at nodes later in the diagram, + % this requires node data to be saved up in an earlier pass. + % Don't need geom pass in compatibility mode. + % + \ifdgVERBOSE \message{.}\fi + \ifx\dg@BIGNODE\@empty + % Accumulate data. + \dg@XGRID=\z@ \dg@YGRID=\z@ + \dg@XLPAD=\z@ \dg@XRPAD=\z@ \dg@YBPAD=\z@ \dg@YTPAD=\z@ + \let\dg@PASS=\dg@geompass + \dg@NLIST \dg@ALIST + % Calculate \unitlength and normalized XGRID,YGRID. + % catch any bogus results along the way + \ifnum\dg@XGRID>\z@\else \dg@XGRID=\dgHORIZPAD \fi + \ifnum\dg@YGRID>\z@\else \dg@YGRID=\dgVERTPAD \fi + \dggeometry + \ifdim\unitlength>\z@\else + \unitlength=\dgARROWLENGTH \divide\unitlength\@m \fi + \ifnum\dg@XGRID>\z@\else \dg@XGRID=\@ne \fi + \ifnum\dg@YGRID>\z@\else \dg@YGRID=\@ne \fi + \fi + % Now convert drawing dimensions to \unitlength's. + \dg@LBLOFF=\dgLABELOFFSET \divide\dg@LBLOFF\unitlength + \multiply\dg@HORIZ\@m \multiply\dg@HORIZ\dg@XGRID + \multiply\dg@VERT\@m \multiply\dg@VERT\dg@YGRID + \divide\dg@XLPAD\unitlength \divide\dg@XRPAD\unitlength + \divide\dg@YBPAD\unitlength \divide\dg@YTPAD\unitlength + % + % PASS (3): DRAW SAVED NODES AND ARROWS USING GRID GEOMETRY. + % + \ifdgVERBOSE \message{.}\fi + \let\dg@PASS=\dg@drawpass + \hspace*{\dg@XLPAD\unitlength}% + \vcenter{% + \hsize=0pt\relax\parindent=0pt\relax + \parskip=0pt\relax\baselineskip=0pt\relax + \vspace*{\dg@YTPAD\unitlength}% + \begin{picture}(0,0)(0,0)\dg@NLIST\dg@ALIST\end{picture}% + % Tell TeX how high diagram is. + \raisebox{\z@}[\z@][\dg@VERT\unitlength]{}% + \vspace*{\dg@YBPAD\unitlength}% + } + % Tell TeX how wide diagram is. + \hspace*{\dg@HORIZ\unitlength}% + \hspace*{\dg@XRPAD\unitlength}% + \ifdgVERBOSE \message{]}\fi +}% + +\def\dg@savepass{s} +\def\dg@geompass{g} +\def\dg@drawpass{d} + +% +% +% ---MAKING NODES--- +% +% In draw pass, just place centered FORMULA at current coords. +% +% In geometry pass, find how far nodes at boundary of diagram +% stick out over the edge; update XLPAD, XRPAD, YBPAD, YTPAD. +% +% In save pass, measure FORMULA, saving incremented position and +% padded width and height (in scaled points) on \dg@SLIST like so: +% ...,\dg@XNODE=<X coord>\relax\dg@YNODE=<Y coord>\relax +% \dg@XTEMP=<node width>\relax\dg@YTEMP=<node height>\relax,... +% and saving node itself (for later drawing) on \dg@NLIST like so: +% ...\dg@X=<X coord>\relax\dg@Y=<Y coord>\relax +% \dg@node{FORMULA}... +% Also update HORIZ (horizontal size of diagram). +% +% Usage: \dg@node[NCOLS]{FORMULA} +\newoptcommand{\dg@node}{\@ne}[2]{% + \ifx\dg@PASS\dg@savepass + % + % Update coordinates and XMAX. + \dg@XTEMP=#1\relax + \ifnum\dg@XTEMP<\@ne \dg@XTEMP=\@ne\fi + \advance\dg@X\dg@XTEMP + \ifnum\dg@HORIZ<\dg@X \dg@HORIZ=\dg@X \fi + % + % Measure padded node. + \setbox\dg@NODEBOX=\hbox{$\dgeverynode{#2}$}% + \dg@XTEMP=\wd\dg@NODEBOX \advance\dg@XTEMP\dgHORIZPAD + \dg@YTEMP=\ht\dg@NODEBOX \advance\dg@YTEMP\dp\dg@NODEBOX + \advance\dg@YTEMP\dgVERTPAD + % + % Save up info in NLIST and SLIST. + \toks\z@=\expandafter{\dg@SLIST}% + \edef\dg@SLIST{\the\toks\z@ + ,\noexpand\dg@XNODE=\number\dg@X\noexpand\relax + \noexpand\dg@YNODE=\number\dg@Y\noexpand\relax + \noexpand\dg@XTEMP=\number\dg@XTEMP\noexpand\relax + \noexpand\dg@YTEMP=\number\dg@YTEMP\noexpand\relax}% + \toks\z@=\expandafter{\dg@NLIST}% + \toks\tw@={\dg@node{#2}}% + \edef\dg@NLIST{\the\toks\z@ + \noexpand\dg@X=\number\dg@X\noexpand\relax + \noexpand\dg@Y=\number\dg@Y\noexpand\relax + \the\toks\tw@}% + \else\ifx\dg@PASS\dg@geompass + % + % If on boundary, compare padding against half of + % padded node size saved in SLIST. + \ifnum\dg@X=\z@ + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \divide\dg@WEND\tw@ + \ifnum\dg@XLPAD<\dg@WEND \dg@XLPAD=\dg@WEND \fi\fi + \ifnum\dg@X=\dg@HORIZ + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \divide\dg@WEND\tw@ + \ifnum\dg@XRPAD<\dg@WEND \dg@XRPAD=\dg@WEND \fi\fi + \ifnum\dg@Y=\z@ + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \divide\dg@HEND\tw@ + \ifnum\dg@YTPAD<\dg@HEND \dg@YTPAD=\dg@HEND \fi\fi + \ifnum\dg@Y=-\dg@VERT\relax + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \divide\dg@HEND\tw@ + \ifnum\dg@YBPAD<\dg@HEND \dg@YBPAD=\dg@HEND \fi\fi + \else\ifx\dg@PASS\dg@drawpass + % + % Get scaled picture coords from grid coords. + \dg@XNODE=\dg@X \multiply\dg@XNODE\@m + \multiply\dg@XNODE\dg@XGRID + \dg@YNODE=\dg@Y \multiply\dg@YNODE\@m + \multiply\dg@YNODE\dg@YGRID + % + % Place centered formula. + \setbox\dg@NODEBOX=\hbox{$\dgeverynode{#2}$}% + \put(\dg@XNODE,\dg@YNODE){\dg@makebox{\box\dg@NODEBOX}}% + \fi\fi\fi}% + +% Increment coordinates to beginning of NROWS-th next +% grid row (only in save pass). +% Usage: \dg@cr[NROWS] +\newoptcommand{\dg@cr}{\@ne}[1]{% + \ifx\dg@PASS\dg@savepass + \dg@YTEMP=#1\relax + \ifnum\dg@YTEMP<\@ne \dg@YTEMP=\@ne \fi + \advance\dg@Y -\dg@YTEMP\relax + \dg@X=-\@ne\relax\fi}% +% +% +% ---ARROW COMMAND FRONT ENDS--- +% +% Usage: \dg@arrow[USERSIZE]{ARROW_SPECS}LABELS... +\newoptcommand{\dg@arrow}{\@ne}[2]{% + % Keep all arrow geometry parameters local. + % The \endgroup is in each \dg@process command. + \begingroup + % Get optional arrow USERSIZE. + \dg@USERSIZE=#1\relax + \ifnum\dg@USERSIZE<\@ne \dg@USERSIZE=\@ne \fi + % Parse arrow specification. + \dg@parse{#2}% + % In draw pass, calculate all the arrow geometry parameters + % and draw the arrow. + % In geometry pass, calculate minimum size of grid rectangle + % which gives all arrows ARROWLENGTH of room. + % In save mode, just save up the arrow in ALIST. + \ifx\dg@PASS\dg@savepass + % Arrow saved with orig LBLTYPE, so don't re-position args. + \ifx\dg@label\dgl@b \let\dg@label=\dgl@t \fi + \ifx\dg@label\dgl@r \let\dg@label=\dgl@l \fi + \let\dg@process=\dg@save + \else\ifx\dg@PASS\dg@geompass + \let\dg@process=\dg@ignore + \dg@geomcalc + \else\ifx\dg@PASS\dg@drawpass + \let\dg@process=\dg@draw + \dg@drawcalc + \fi\fi\fi + \dg@label{\dg@process{#1}{#2}}}% + +% Also make \arrow command available for use outside of diagrams. +\newoptcommand{\arrow}{\@ne}[2]{% + % Parse arrow specification just to check how many labels. + \dg@parse{#2}% + % Text arrow uses original LBLTYPE, so don't re-position args. + \ifx\dg@label\dgl@b \let\dg@label=\dgl@t \fi + \ifx\dg@label\dgl@r \let\dg@label=\dgl@l \fi + \dg@label{\dg@textarrow{#1}{#2}}}% + +\def\dg@textarrow#1#2#3#4{% + \mathrel{{% + \dgHORIZPAD=0pt\relax\dgVERTPAD=0pt\relax + \dgARROWLENGTH=\dgTEXTARROWLENGTH\relax + \dgVERBOSEfalse + \begin{diagram} + \node{}\arrow[#1]{#2}{#3}{#4}\node{} + \end{diagram}}}} + +% Parse arrow specification: comma-separated list of features. +% Usage: \dg@parse{TYPE,ONEORTWOLABEL,OPTION,...} +\def\dg@parse#1{% + % Set default labeling and options. + \let\dg@label=\dgl@ \dgo@ + % Scan list, reading TYPE, LBLTYPE, and OPTIONs in turn. + \let\dg@type=\@empty \let\dg@lbltype=\@empty + \@for\dg@list:=#1\do{% + \ifx\dg@type\@empty \let\dg@type=\dg@list + \else\ifx\dg@lbltype\@empty \let\dg@lbltype=\dg@list + % In case LBLTYPE not given, try it as an OPTION. + % Note: LBLTYPE and OPTION names must not conflict. + \@ifundefined{dgo@\dg@list}{}{\@nameuse{dgo@\dg@list}}% + \else + % Process OPTIONs in turn; ignore bad OPTIONs. + \@ifundefined{dgo@\dg@list}{}{\@nameuse{dgo@\dg@list}}% + \fi\fi}% + % TYPE must be specified (default to "e" on error). + % Get raw geometry parameters from TYPE. + \@ifundefined{dgt@\dg@type}{\dgt@e}{\@nameuse{dgt@\dg@type}}% + % If LBLTYPE valid, get arg handler. + \@ifundefined{dgl@\dg@lbltype}{}{% + \dg@letname\dg@label{dgl@\dg@lbltype}}} + +% +% +% ---ARROW PROCESSORS (draw, save, ignore)--- +% +% Draw labelled arrow, using computed arrow geometry parameters. +% The \endgroup matches \dg@arrow's \begingroup. +% Usage: \dg@draw{IGNORE}{IGNORE}{LABEL1}{LABEL2} +\def\dg@draw#1#2#3#4{% + % Typeset labels in advance of all the positioning yoga, + % since TeX only allows boxes to nest 40 deep by default. + \setbox\dg@LABONEBOX=\hbox{$\dgeverylabel{#3}$}% + \setbox\dg@LABTWOBOX=\hbox{$\dgeverylabel{#4}$}% + \put(\dg@X,\dg@Y){\dg@makebox{% + \begin{picture}(0,0)% + \thinlines + \put(\dg@XOFFSET,\dg@YOFFSET){% + \dg@VECTOR(\dg@DX,\dg@DY){\dg@SIZE}}% + \put(\dg@XLBL,\dg@YLBL){\dg@makebox{% + \begin{picture}(0,0)% + \put(\dg@XLBLOFF,\dg@YLBLOFF){% + \dg@makebox[\dg@LBLONE]{\box\dg@LABONEBOX}}% + \put(-\dg@XLBLOFF,-\dg@YLBLOFF){% + \dg@makebox[\dg@LBLTWO]{\box\dg@LABTWOBOX}}% + \end{picture}}}% + \end{picture}}}% + \endgroup}% + +% Instead of drawing arrow now, save it on \dg@ALIST, like so: +% ...\dg@X=<X coord>\relax\dg@Y=<Y coord>\relax +% \dg@arrow[<size>]{<arrow specs>}<labels>... +% If either LABEL1 or LABEL2 is empty, it will simply be ignored. +% Usage: \dg@save{SIZE}{SPEC}{LABEL1}{LABEL2} +\def\dg@save#1#2#3#4{% + \endgroup % to match \dg@arrow's \begingroup + \toks\z@=\expandafter{\dg@ALIST}% + \toks\tw@={\dg@arrow[#1]{#2}{#3}{#4}}% + \edef\dg@ALIST{\the\toks\z@% + \noexpand\dg@X=\number\dg@X\noexpand\relax + \noexpand\dg@Y=\number\dg@Y\noexpand\relax + \the\toks\tw@}}% + +% No-op arrow processor. +% Usage: \dg@ignore{SIZE}{SPEC}{LABEL1}{LABEL2} +\def\dg@ignore#1#2#3#4{\endgroup} + +% +% +% ---ARROW GEOMETRY CALCULATIONS--- +% +% Calc minimum size of grid rectangle (in sp's) so that all +% arrows will have horizontal extent at least ARROWMINX := +% ( |DX|/(|DX|+|DY|) )*ARROWLENGTH and the vertical extent +% at least ARROWMINY := ( |DY|/(|DX|+|DY|) )*ARROWLENGTH. +% We estimate the horizontal and vertical extents from node +% corner to node corner (which indeed gives lower bounds). +% Thus for example XGRID must be at least +% ( (WSOURCE+WTARGET)/2 + ARROWMINX ) / (SIZE*USERSIZE) +% where the width of source (target) node is WSOURCE (WTARGET). +% There is a similar formula for YGRID. +% +% Updates (globally so we see it later!!!): +% XGRID, YGRID +% using these arrow parameters: +% X, Y, USERSIZE, SIZE, DX, DY +% using also the stored node dims in SLIST. +% Uses temp vars XOFFSET, YOFFSET, XTEMP, YTEMP, ZTEMP, +% XEND, YEND, WEND, HEND. No args. +% +\def\dg@geomcalc{% + % Find other end of arrow (in grid coords). + \dg@XEND=\dg@SIZE \multiply\dg@XEND\dg@USERSIZE + \ifnum\dg@DX=\z@ + \dg@YEND=\dg@XEND \dg@XEND=\z@ + \dg@changesign\dg@YEND\dg@DY + \else + \dg@changesign\dg@XEND\dg@DX \dg@YEND=\dg@XEND + \multiply\dg@YEND\dg@DY \divide\dg@YEND\dg@DX + \fi + \advance\dg@XEND\dg@X \advance\dg@YEND\dg@Y + % Get size of node there. + \dg@getnodesize + {\dg@SLIST}{\dg@XEND}{\dg@YEND}{\dg@WEND}{\dg@HEND}% + \dg@XOFFSET=\dg@WEND \dg@YOFFSET=\dg@HEND + % Now average in size of current node. + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \advance\dg@XOFFSET\dg@WEND \divide\dg@XOFFSET\tw@ + \advance\dg@YOFFSET\dg@HEND \divide\dg@YOFFSET\tw@ + % Now add in required arrow length. + \dg@XTEMP=\dgARROWLENGTH \dg@YTEMP=\dgARROWLENGTH + \ifnum\dg@DX>\z@ + \dg@ZTEMP=\dg@DX \multiply\dg@XTEMP\dg@DX + \else \dg@ZTEMP=-\dg@DX \multiply\dg@XTEMP -\dg@DX \fi + \ifnum\dg@DY>\z@ + \advance\dg@ZTEMP\dg@DY \multiply\dg@YTEMP\dg@DY + \else \advance\dg@ZTEMP -\dg@DY \multiply\dg@YTEMP -\dg@DY\fi + \ifnum\dg@ZTEMP=\z@\else + \divide\dg@XTEMP\dg@ZTEMP \divide\dg@YTEMP\dg@ZTEMP + \advance\dg@XOFFSET\dg@XTEMP \advance\dg@YOFFSET\dg@YTEMP + \fi + % Divide by number of grid units to get unit size. + \divide\dg@XOFFSET\dg@SIZE \divide\dg@XOFFSET\dg@USERSIZE + \divide\dg@YOFFSET\dg@SIZE \divide\dg@YOFFSET\dg@USERSIZE + \ifnum\dg@DX=\z@ \dg@XOFFSET=\z@ \fi + \ifnum\dg@DY=\z@ \dg@YOFFSET=\z@ \fi + \ifnum\dg@XGRID<\dg@XOFFSET \global\dg@XGRID=\dg@XOFFSET\fi + \ifnum\dg@YGRID<\dg@YOFFSET \global\dg@YGRID=\dg@YOFFSET\fi + \relax} + +% Calculate all the arrow geometry parameters for drawing: +% X, Y, DX, DY, SIZE, XOFFSET, YOFFSET, VECTOR, +% XLBL, YLBL, XLBLOFF, YLBLOFF, LBLONE, LBLTWO, +% from the (preliminary) values of these basic arrow parameters: +% X, Y, USERSIZE, SIZE, DX, DY, VECTOR, LBLPOS +% using also the grid geom and diagram parameters: +% XGRID, YGRID, LBLOFF, SLIST, ARROWPARTS. +% No args. Uses temp vars XTEMP, YTEMP, ZTEMP, XEND, WEND. +\def\dg@drawcalc{% + % Get size of node at other end of arrow (in picture coords). + \dg@XEND=\dg@SIZE \multiply\dg@XEND\dg@USERSIZE + \ifnum\dg@DX=\z@ + \dg@YEND=\dg@XEND \dg@XEND=\z@ + \dg@changesign\dg@YEND\dg@DY + \else + \dg@changesign\dg@XEND\dg@DX \dg@YEND=\dg@XEND + \multiply\dg@YEND\dg@DY \divide\dg@YEND\dg@DX + \fi + \advance\dg@XEND\dg@X \advance\dg@YEND\dg@Y + \dg@getnodesize + {\dg@SLIST}{\dg@XEND}{\dg@YEND}{\dg@WEND}{\dg@HEND}% + \divide\dg@WEND\unitlength \divide\dg@HEND\unitlength + % Now adjust arrow dir to grid aspect ratio (XGRID:YGRID). + \multiply\dg@DX\dg@XGRID \multiply\dg@DY\dg@YGRID + \dg@rmcommondiv\tw@\dg@DX\dg@DY + \dg@rmcommondiv\tw@\dg@DX\dg@DY %[sic] + \dg@rmcommondiv\thr@@\dg@DX\dg@DY + % Scale arrow to requested USERSIZE. + % Prepare to convert size from grid to picture coords. + \multiply\dg@SIZE\dg@USERSIZE \multiply\dg@SIZE\@m + \ifnum\dg@DX=\z@ + % + % Vertical arrow. + % + % SIZE measures vertical extent in \unitlengths. Arrow + % shortened by (HSOURCE+HTARGET)/2, offset by HSOURCE/2. + % Labels at (HSOURCE/2 + SIZE*LBLPOS/ARROWPARTS). + \multiply\dg@SIZE\dg@YGRID + \divide\dg@HEND\tw@ \advance\dg@SIZE -\dg@HEND + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@YOFFSET}% + \divide\dg@YOFFSET\unitlength \divide\dg@YOFFSET\tw@ + \advance\dg@SIZE -\dg@YOFFSET + \dg@XOFFSET=\z@ + \def\dg@LBLONE{r}\def\dg@LBLTWO{l}% + \dg@XLBL=\z@ \dg@YLBL=\dg@SIZE + \multiply\dg@YLBL\dg@LBLPOS + \divide\dg@YLBL\dgARROWPARTS\relax + \advance\dg@YLBL\dg@YOFFSET + \dg@changesign\dg@YLBL\dg@DY + \dg@changesign\dg@YOFFSET\dg@DY + \else + % Nonvertical arrow. + % SIZE measures horizontal extent in \unitlengths. + \multiply\dg@SIZE\dg@XGRID + \ifnum\dg@DY=\z@ + % + % Horizontal arrow. + % + % Arrow shortened by (WSOURCE+WTARGET)/2, + % and offset by WSOURCE/2. Labels at + % (WSOURCE/2 + SIZE*LBLPOS/ARROWPARTS). + \divide\dg@WEND\tw@ \advance\dg@SIZE -\dg@WEND + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@XOFFSET}{\dg@HEND}% + \divide\dg@XOFFSET\unitlength \divide\dg@XOFFSET\tw@ + \advance\dg@SIZE -\dg@XOFFSET + \dg@YOFFSET=\z@ + \def\dg@LBLONE{b}\def\dg@LBLTWO{t}% + \dg@YLBL=\z@ \dg@XLBL=\dg@SIZE + \multiply\dg@XLBL\dg@LBLPOS + \divide\dg@XLBL\dgARROWPARTS\relax + \advance\dg@XLBL\dg@XOFFSET + \dg@changesign\dg@XLBL\dg@DX + \dg@changesign\dg@XOFFSET\dg@DX + \else + % + % Diagonal arrow. + % + % Arrow offset in its own direction, with horiz comp + % XOFFSET := MIN( WSOURCE/2, |DX/DY|*HSOURCE/2 ), and + % shortened in its own direction, with horiz comp + % XOFFSET + MIN( WTARGET/2, |DX/DY|*HTARGET/2 ). + % Labels at ( XOFFSET+-SIZE*LBLPOS/ARROWPARTS , + % YOFFSET+-SIZE*LBLPOS*DY/(ARROWPARTS*DX) ) + \divide\dg@WEND\tw@ \divide\dg@HEND\tw@ + \multiply\dg@HEND\dg@DX \divide\dg@HEND\dg@DY + \ifnum\dg@HEND<\z@ \multiply\dg@HEND\m@ne \fi + \ifnum\dg@WEND<\dg@HEND \advance\dg@SIZE -\dg@WEND + \else \advance\dg@SIZE -\dg@HEND \fi + \dg@getnodesize + {\dg@SLIST}{\dg@X}{\dg@Y}{\dg@WEND}{\dg@HEND}% + \divide\dg@WEND\unitlength \divide\dg@WEND\tw@ + \divide\dg@HEND\unitlength \divide\dg@HEND\tw@ + \multiply\dg@HEND\dg@DX \divide\dg@HEND\dg@DY + \ifnum\dg@HEND<\z@ \multiply\dg@HEND\m@ne \fi + \ifnum\dg@WEND<\dg@HEND \dg@XOFFSET=\dg@WEND + \else \dg@XOFFSET=\dg@HEND \fi + \advance\dg@SIZE -\dg@XOFFSET + \dg@changesign\dg@XOFFSET\dg@DX + \dg@YOFFSET=\dg@XOFFSET + \multiply\dg@YOFFSET\dg@DY \divide\dg@YOFFSET\dg@DX + \def\dg@LBLONE{br}\def\dg@LBLTWO{tl}% + \ifnum\dg@DX<\z@ \ifnum\dg@DY>\z@ + \def\dg@LBLONE{bl}\def\dg@LBLTWO{tr}\fi\fi + \ifnum\dg@DX>\z@ \ifnum\dg@DY<\z@ + \def\dg@LBLONE{bl}\def\dg@LBLTWO{tr}\fi\fi + \dg@XLBL=\dg@SIZE + \multiply\dg@XLBL\dg@LBLPOS + \divide\dg@XLBL\dgARROWPARTS\relax + \dg@changesign\dg@XLBL\dg@DX + \dg@YLBL=\dg@XLBL + \multiply\dg@YLBL\dg@DY \divide\dg@YLBL\dg@DX + \advance\dg@XLBL\dg@XOFFSET + \advance\dg@YLBL\dg@YOFFSET + \fi + \fi + % (XLBL,YLBL) is the displacement from the source NODE + % to the point along the arrow where the labels will be + % attached. The offset of first label from this attachment + % point is the vector + % (XLBLOFF,YLBLOFF) = LBLOFF*sgn(DX)*(-DY,DX)/max(|DX|,|DY|) + % if DX is nonzero, and otherwise + % (XLBLOFF,YLBLOFF) = LBLOFF*(-1,0); + % The 2nd label is offset by the vector (-XLBLOFF,-YLBLOFF). + \dg@XLBLOFF=-\dg@DY \dg@changesign\dg@XLBLOFF\dg@DX + \dg@YLBLOFF=\dg@DX \dg@changesign\dg@YLBLOFF\dg@DX + \ifnum\dg@DX=\z@ \dg@XLBLOFF=\m@ne \fi + \dg@XTEMP=\dg@DX \dg@changesign\dg@XTEMP\dg@DX + \dg@YTEMP=\dg@DY \dg@changesign\dg@YTEMP\dg@DY + \ifnum\dg@YTEMP>\dg@XTEMP \dg@XTEMP=\dg@YTEMP \fi + \ifnum\dg@XTEMP=\z@ \dg@XTEMP=\@ne \fi + \multiply\dg@XLBLOFF\dg@LBLOFF \divide\dg@XLBLOFF\dg@XTEMP + \multiply\dg@YLBLOFF\dg@LBLOFF \divide\dg@YLBLOFF\dg@XTEMP + % + % Change node location from grid coords to picture coords. + \multiply\dg@X\@m \multiply\dg@X\dg@XGRID + \multiply\dg@Y\@m \multiply\dg@Y\dg@YGRID + \relax}% + +% +% +% ---UTILITY ROUTINES--- +% +% Remove common divisor DIV from two number registers +% \NUM1 and \NUM2. +% Usage: \dg@rmcommondiv{DIV}{\NUM1}{\NUM2} +% NOTE: uses XTEMP and YTEMP. +\def\dg@rmcommondiv#1#2#3{% + \dg@XTEMP=#2\relax + \divide\dg@XTEMP #1\relax \multiply\dg@XTEMP #1\relax + \dg@YTEMP=#3\relax + \divide\dg@YTEMP #1\relax \multiply\dg@YTEMP #1\relax + \ifnum\dg@XTEMP=#2\relax \ifnum\dg@YTEMP=#3\relax + \divide#2#1\relax \divide#3#1\relax \fi\fi}% + +% Multiply number register \NUM1 by sign of \NUM2. +% Usage: \dg@changesign\NUM1\NUM2 +\def\dg@changesign#1#2{% + \ifnum #2<\z@ \multiply#1\m@ne + \else\ifnum #2=\z@ #1=\z@ \fi\fi}% + +% Determine from SLIST the padded width and height (in scaled +% points) of the node at (XCOORD,YCOORD). Place the answer +% in number registers \WIDTH and \HEIGHT, resp (if no such +% node, set \WIDTH=\HEIGHT=0). SLIST must be comma-separated +% list of TeX code segments, each of which puts the node +% coords in (XNODE,YNODE) and the node dims in(XTEMP,YTEMP). +% Uses temp vars XTEMP, YTEMP. +% Usage: \dg@getnodesize{SLIST}{XCOORD}{YCOORD}{\WIDTH}{\HEIGHT} +\def\dg@getnodesize#1#2#3#4#5{% + #4=\z@\relax #5=\z@\relax + % loop through saved nodes + \expandafter\@for\expandafter\dg@trynode + \expandafter:\expandafter=#1\do{% + \dg@XNODE=\m@ne % impossible (in case \dg@trynode is empty) + \dg@trynode + \ifnum #2=\dg@XNODE \ifnum #3=\dg@YNODE + #4=\dg@XTEMP\relax #5=\dg@YTEMP\relax\fi\fi}}% + +% Like \makebox(0,0)[POS]{TEXT}, with POS expanded beforehand +% and bottom alignment at true bottom rather than baseline. +% +% Usage: \dg@makebox[POS]{TEXT} +\long\def\dg@sinkbaseline#1{% + \leavevmode\hbox{\vbox{% + \lineskiplimit=16383pt\relax\lineskip=0pt\relax + \baselineskip=-1000pt\relax + \parindent=0pt\relax\parskip=0pt\relax + \hbox{#1}\rule{0pt}{0pt}}}}% +\newoptcommand{\dg@makebox}{}[2]{\dg@sinkbaseline{% + \expandafter\makebox\expandafter(\expandafter + 0\expandafter,\expandafter0\expandafter)\expandafter + [#1]{#2}}}% + +% Produces nothing. +% Usage:\dg@novector(X,Y){LaTeX_LENGTH} +\def\dg@novector(#1,#2)#3{}% + +% \let command \CMD equal funny-name command \NAME. +% Usage: \dg@letname{\CMD}{NAME}. +\def\dg@letname#1#2{% + \relax\expandafter + \let\expandafter #1\csname #2\endcsname\relax}% + +% Arg handlers, one for each LBLTYPE. +% Grab labels from following input and feed them to \PROCESS. +% Usage: \dgl@LBLTYPE{\PROCESS}... +\def\dgl@#1{#1{}{}}% +\def\dgl@t#1#2{#1{#2}{}}% +\def\dgl@b#1#2{#1{}{#2}}% +\def\dgl@tb#1#2#3{#1{#2}{#3}}% +\def\dgl@l#1#2{#1{#2}{}}% +\def\dgl@r#1#2{#1{}{#2}}% +\def\dgl@lr#1#2#3{#1{#2}{#3}}% + diff --git a/Master/texmf-dist/tex/latex/pb-diagram/pb-lams.sty b/Master/texmf-dist/tex/latex/pb-diagram/pb-lams.sty new file mode 100644 index 00000000000..33d802966f6 --- /dev/null +++ b/Master/texmf-dist/tex/latex/pb-diagram/pb-lams.sty @@ -0,0 +1,142 @@ +% pb-lams.sty: LAMS-TeX font enhancements for pb-diagram.sty +% Author: Paul Burchard <burchard@pobox.com> +% Version Number: 5.0 +% Version Date: 20 Oct 1998 +% +% Copyright (c) 1997, 1998 by Paul Burchard +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. +% +% This style file should be loaded *AFTER* pb-diagram.sty and +% lamsarrow.sty. It should be loaded as follows: +% \usepackage{pb-diagram,lamsarrow,pb-lams} +% +% This code adds to the "diagram" environment the use of +% fancy arrow heads and tails, as well as additional arrow +% directions. Most of the options defined here can be +% combined arbitrarily. +% + +\@ifundefined{diagram}{% + \@latexerr{The pb-lams style option requires pb-diagram}% + {You must include the pb-diagram package prior to pb-lams.}}{} +\@ifundefined{lamsvector}{% + \@latexerr{The pb-lams style option requires lamsarrow}% + {You must include the lamsarrow package prior to pb-lams.}}{} + +\newif\ifdg@LATEXGEOM \dg@LATEXGEOMfalse + +\@namedef{dgo@}{% + \let\dg@VECTOR=\lamsvector + \lamsshaft{?}\lamssource{?}\lamstarget{?}% + \dg@LBLPOS=\dgARROWPARTS \divide\dg@LBLPOS\tw@\relax}% +\@namedef{dgo@..}{\lamsshaft{.}}% +\@namedef{dgo@<>}{\lamssource{^}\lamstarget{^}}% +\@namedef{dgo@=}{\lamsshaft{=}}% +\@namedef{dgo@-}{\lamstarget{0}}% +\@namedef{dgo@'}{\lamstarget{'}}% +\@namedef{dgo@`}{\lamstarget{`}}% +\@namedef{dgo@A}{\lamstarget{A}}% +\@namedef{dgo@V}{\lamssource{V}}% +\@namedef{dgo@J}{\lamssource{J}}% +\@namedef{dgo@L}{\lamssource{L}}% +\@namedef{dgo@S}{\lamssource{S}}% +% +% approximate aspect ratio by half-integer betw 1/2 and 3 +% (or betw 1/2 and 2 if 3:1 arrow detected) +% +\def\dggeometry{ + \dg@ZTEMP=\dg@XGRID \multiply\dg@ZTEMP\tw@ + \ifnum\dg@YGRID=\z@ \dg@ZTEMP=\tw@ + \else \divide\dg@ZTEMP\dg@YGRID \fi + % font limit cutoffs + \ifnum\dg@ZTEMP>6\relax \dg@ZTEMP=6\relax \fi + \ifdg@LATEXGEOM\ifnum\dg@ZTEMP>\f@ur \dg@ZTEMP=\f@ur \fi\fi + \ifnum\dg@ZTEMP<\@ne \dg@ZTEMP=\@ne \fi + \unitlength=1sp\relax + \ifnum\dg@ZTEMP<\tw@ + % round aspect ratio up toward 2:2, widen rect + \advance\dg@ZTEMP\@ne + \multiply\unitlength\dg@YGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@YGRID + \else + % round aspect ratio down toward 2:2, tallen rect + \multiply\unitlength\dg@XGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@XGRID + \fi + \divide\unitlength\@m\relax + \dg@LATEXGEOMfalse} +% +% Bugwards-compatibility mode for versions 3.6 and earlier. +% Enable it with \let\dggeometry=\dgoldgeometry +% +\def\dgoldgeometry{ + \dg@ZTEMP=\dg@XGRID \multiply\dg@ZTEMP\tw@ + \ifnum\dg@YGRID=\z@ \dg@ZTEMP=\tw@ + \else \divide\dg@ZTEMP\dg@YGRID \fi + % font limit cutoffs + \ifnum\dg@ZTEMP>6\relax \dg@ZTEMP=6\relax \fi + \ifdg@LATEXGEOM\ifnum\dg@ZTEMP>\f@ur \dg@ZTEMP=\f@ur \fi\fi + \ifnum\dg@ZTEMP<\@ne \dg@ZTEMP=\@ne \fi + % The following calculation is garbled! + \unitlength=2sp\relax + \ifnum\dg@ZTEMP<\tw@ + % round aspect ratio up toward 2:2, widen rect + \advance\dg@ZTEMP\@ne + \multiply\unitlength\dg@YGRID \divide\unitlength\tw@ + \else + % round aspect ratio down toward 2:2, tallen rect + \multiply\unitlength\dg@XGRID \divide\unitlength\dg@ZTEMP + \fi + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@YGRID \divide\unitlength\@m + \dg@LATEXGEOMfalse} +% +% new directions +\def\dgt@nee{\dg@DX=\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@see{\dg@DX=\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +\def\dgt@nww{\dg@DX=-\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@sww{\dg@DX=-\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +\def\dgt@nnne{\dg@DX=\@ne \dg@DY=\thr@@ \dg@SIZE=\@ne}% +\def\dgt@nnnw{\dg@DX=\m@ne \dg@DY=\thr@@ \dg@SIZE=\@ne}% +\def\dgt@sssw{\dg@DX=\m@ne \dg@DY=-\thr@@ \dg@SIZE=\@ne}% +\def\dgt@ssse{\dg@DX=\@ne \dg@DY=-\thr@@ \dg@SIZE=\@ne}% +\def\dgt@nnnee{\dg@DX=\tw@ \dg@DY=\thr@@ \dg@SIZE=\tw@}% +\def\dgt@nnnww{\dg@DX=-\tw@ \dg@DY=\thr@@ \dg@SIZE=\tw@}% +\def\dgt@sssww{\dg@DX=-\tw@ \dg@DY=-\thr@@ \dg@SIZE=\tw@}% +\def\dgt@sssee{\dg@DX=\tw@ \dg@DY=-\thr@@ \dg@SIZE=\tw@}% +% +% these are only drawn approx correct in some aspect ratios: +\def\dgt@nneee{\dg@DX=\thr@@ \dg@DY=\tw@ \dg@SIZE=\thr@@}% +\def\dgt@nnwww{\dg@DX=-\thr@@ \dg@DY=\tw@ \dg@SIZE=\thr@@}% +\def\dgt@sswww{\dg@DX=-\thr@@ \dg@DY=-\tw@ \dg@SIZE=\thr@@}% +\def\dgt@sseee{\dg@DX=\thr@@ \dg@DY=-\tw@ \dg@SIZE=\thr@@}% +% +% these only work with LaTeX-compatible aspect ratios: +% must set this globally to see it later!!! +\def\dgt@neee{\dg@DX=\thr@@ \dg@DY=\@ne \dg@SIZE=\thr@@ + \global\dg@LATEXGEOMtrue}% +\def\dgt@nwww{\dg@DX=-\thr@@ \dg@DY=\@ne \dg@SIZE=\thr@@ + \global\dg@LATEXGEOMtrue}% +\def\dgt@swww{\dg@DX=-\thr@@ \dg@DY=\m@ne \dg@SIZE=\thr@@ + \global\dg@LATEXGEOMtrue}% +\def\dgt@seee{\dg@DX=\thr@@ \dg@DY=\m@ne \dg@SIZE=\thr@@ + \global\dg@LATEXGEOMtrue}% + diff --git a/Master/texmf-dist/tex/latex/pb-diagram/pb-xy.sty b/Master/texmf-dist/tex/latex/pb-diagram/pb-xy.sty new file mode 100644 index 00000000000..f5cadd5a51e --- /dev/null +++ b/Master/texmf-dist/tex/latex/pb-diagram/pb-xy.sty @@ -0,0 +1,133 @@ +% pb-xy.sty: Xypic arrow enhancements for pb-diagram.sty +% Author: Bill Richter <richter@math.nwu.edu> +% Version Number: 5.0 +% Version Date: 20 Oct 1998 +% +% Copyright (c) 1998 by Bill Richter +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +% GNU General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. +% +% This style file should be loaded as follows: +% \usepackage[cmtip,arrow]{xy} +% \usepackage{pb-diagram,pb-xy} +% +% This code adds to the "diagram" environment the use of +% Xypic fancy arrow heads and tails, as well as additional arrow +% directions. Most of the options defined here can be +% combined arbitrarily. +% + +\makeatother +\def\PBXYarat{\ar@}% +\makeatletter + +\newcount\PBXYxsize +\newcount\PBXYysize + +\def\pbxy@tail{{}}% +\def\pbxy@mid{-}% +\def\pbxy@head{>}% + +\@namedef{dgo@}{% + \let\dg@VECTOR=\PBXYvector + \def\pbxy@tail{{}}\def\pbxy@mid{-}\def\pbxy@head{>}% + \dg@LBLPOS=\dgARROWPARTS \divide\dg@LBLPOS\tw@}% from pb-diagram.sty + +\@namedef{dgo@-}{\def\pbxy@head{{}}}% +\@namedef{dgo@!}{\def\pbxy@mid{{}}\def\pbxy@head{{}}% + \let\dg@VECTOR=\dg@novector}% from pb-diagram.sty +\@namedef{dgo@..}{\def\pbxy@mid{.}}% +\@namedef{dgo@--}{\def\pbxy@mid{--}}% +\@namedef{dgo@<>}{\def\pbxy@tail{<}\def\pbxy@head{>}}% +\@namedef{dgo@=}{\def\pbxy@mid{2{-}}\def\pbxy@head{{}}}% +\@namedef{dgo@'}{\def\pbxy@head{^{>}}}% +\@namedef{dgo@`}{\def\pbxy@head{_{>}}}% +\@namedef{dgo@A}{\def\pbxy@head{>>}}% +\@namedef{dgo@V}{\def\pbxy@tail{>}}% +\@namedef{dgo@J}{\def\pbxy@tail{^{(}}}% +\@namedef{dgo@L}{\def\pbxy@tail{_{(}}}% +\@namedef{dgo@S}{\def\pbxy@mid{~}}% +\@namedef{dgo@T}{\def\pbxy@tail{|}}% + +\def\PBXYvector(#1,#2)#3{% + \PBXYxsize#3\relax + \ifnum#1<\z@\multiply\PBXYxsize\m@ne\fi + \PBXYysize\PBXYxsize\relax + \ifnum#1=\z@ + \PBXYxsize\z@ + \ifnum#2<\z@\multiply\PBXYysize\m@ne\fi + \else + \multiply\PBXYysize#2\relax\divide\PBXYysize#1\relax + \fi + \edef\PBXYarrow{\noexpand\PBXYarat{\pbxy@tail\pbxy@mid\pbxy@head}}% + \ifnum#1<\z@ + \makebox(\PBXYxsize,\PBXYysize){% + \begin{xy} 0;<\unitlength,\z@>:% + \PBXYarrow(\PBXYxsize,\PBXYysize)% + \end{xy}% + }% + \else + {\begin{xy} <\unitlength,\z@>:% + \PBXYarrow(\PBXYxsize,\PBXYysize)% + \end{xy}}% + \fi +} + +\def\dgt@nee{\dg@DX=\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@see{\dg@DX=\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +\def\dgt@nww{\dg@DX=-\tw@ \dg@DY=\@ne \dg@SIZE=\tw@}% +\def\dgt@sww{\dg@DX=-\tw@ \dg@DY=\m@ne \dg@SIZE=\tw@}% +\def\dgt@neee{\dg@DX=\thr@@ \dg@DY=\@ne \dg@SIZE=\thr@@}% +\def\dgt@nnne{\dg@DX=\@ne \dg@DY=\thr@@ \dg@SIZE=\@ne}% +\def\dgt@nnnw{\dg@DX=\m@ne \dg@DY=\thr@@ \dg@SIZE=\@ne}% +\def\dgt@nwww{\dg@DX=-\thr@@ \dg@DY=\@ne \dg@SIZE=\thr@@}% +\def\dgt@swww{\dg@DX=-\thr@@ \dg@DY=\m@ne \dg@SIZE=\thr@@}% +\def\dgt@sssw{\dg@DX=\m@ne \dg@DY=-\thr@@ \dg@SIZE=\@ne}% +\def\dgt@ssse{\dg@DX=\@ne \dg@DY=-\thr@@ \dg@SIZE=\@ne}% +\def\dgt@seee{\dg@DX=\thr@@ \dg@DY=\m@ne \dg@SIZE=\thr@@}% +\def\dgt@nneee{\dg@DX=\thr@@ \dg@DY=\tw@ \dg@SIZE=\thr@@}% +\def\dgt@nnnee{\dg@DX=\tw@ \dg@DY=\thr@@ \dg@SIZE=\tw@}% +\def\dgt@nnnww{\dg@DX=-\tw@ \dg@DY=\thr@@ \dg@SIZE=\tw@}% +\def\dgt@nnwww{\dg@DX=-\thr@@ \dg@DY=\tw@ \dg@SIZE=\thr@@}% +\def\dgt@sswww{\dg@DX=-\thr@@ \dg@DY=-\tw@ \dg@SIZE=\thr@@}% +\def\dgt@sssww{\dg@DX=-\tw@ \dg@DY=-\thr@@ \dg@SIZE=\tw@}% +\def\dgt@sssee{\dg@DX=\tw@ \dg@DY=-\thr@@ \dg@SIZE=\tw@}% +\def\dgt@sseee{\dg@DX=\thr@@ \dg@DY=-\tw@ \dg@SIZE=\thr@@}% + +% approximate aspect ratio by half-integer betw 1/2 and 4 +% +\def\dggeometry{ + \dg@ZTEMP=\dg@XGRID \multiply\dg@ZTEMP\tw@ + \ifnum\dg@YGRID=\z@ \dg@ZTEMP=\tw@ + \else \divide\dg@ZTEMP\dg@YGRID \fi + \ifnum\dg@ZTEMP>8\relax \dg@ZTEMP=8\relax \fi + \ifnum\dg@ZTEMP<\@ne \dg@ZTEMP=\@ne \fi + \unitlength=1sp\relax + \ifnum\dg@ZTEMP<\tw@ + % round aspect ratio up toward 2:2, widen rect + \advance\dg@ZTEMP\@ne + \multiply\unitlength\dg@YGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@YGRID + \else + % round aspect ratio down toward 2:2, tallen rect + \multiply\unitlength\dg@XGRID + \dg@XGRID=\dg@ZTEMP \dg@YGRID=\tw@ + \dg@rmcommondiv\tw@\dg@XGRID\dg@YGRID + \divide\unitlength\dg@XGRID + \fi + \divide\unitlength\@m\relax}% + |