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diff --git a/macros/generic/diagrams/taylor/V3,91.tex b/macros/generic/diagrams/taylor/V3,91.tex new file mode 100644 index 0000000000..c5c6ce2f11 --- /dev/null +++ b/macros/generic/diagrams/taylor/V3,91.tex @@ -0,0 +1,1917 @@ +% mangletex (24 Nov 1995) run at 17:43 BST Friday 01 September 2006 +\message{===================================================================}% +\message{< Paul Taylor's commutative diagrams - version 3.91, August 2006 > }% +%% +%% +%% This code runs the LaTeX \ProvidesPackage command iff it is defined. +%% included at the request of Michael Downes <mjd@ams.org> March 2002. +%% Put \listfiles in your LaTeX preamble to see what this is for. +\expandafter\ifx\csname ProvidesPackage\endcsname\relax\toks0=\expandafter{% +\fi\ProvidesPackage{diagrams}[2006/08/31 v3.91 Paul Taylor's commutative +diagrams]%% +\toks0=\bgroup}%% +%%======================================================================% +%% TeX macros for drawing category-theoretic diagrams % +%% % +%% Paul Taylor % +%% % +%% www.ctan.org or www.cs.man.ac.uk/~pt/diagrams % +%% % +%% PLEASE READ THE MANUAL! % +%% % +%% Please ensure that you are registered with me as a user so that % +%% you can be informed of future releases. Any electronic mail % +%% message with "commutative" or "diagram" in the subject line % +%% (such as your request for the package, a question about it, or % +%% even an otherwise blank message) automatically registers you. % +%% % +%% % +%% CONTENTS: % +%% (O) corruption-sensitive hacks (to approx line 328) % +%% Arrow components & commands - starts approx line 1240 % +%% (22) auxillary macros for adjustment of components % +%% (23) bits of arrows (\rhvee etc) % +%% (24) arrow commands (\rTo etc) % +%% (25) miscellaneous % +%% Apart from these five sections, the rest is intended to be totally % +%% meaningless in the undocumented version, which is approximately % +%% 1910 lines long. Please do not waste trees by printing it out. % +%% % +%% COPYRIGHT NOTICE: % +%% This package may be copied and used freely for any academic % +%% (not commercial or military) purpose, on condition that it % +%% is not altered in any way, and that an acknowledgement is % +%% included in any published work making substantial use of it. % +%% % +%% IT IS SUPPLIED "AS IS", WITHOUT WARRANTY, EXPRESS OR IMPLIED. % +%% % +%% If you are doing something where mistakes cost money (or where % +%% success brings financial profit) then you must use commercial % +%% software, not this package. In any case, please remember to % +%% keep several backup copies of all files, and check everything % +%% visually before sending final copy to the publishers. % +%% % +%% You may use this package as a (substantial) aid to writing an % +%% academic research or text book on condition that % +%% (i) you contact me at a suitable time to ensure that you have % +%% an up-to-date version (and any infelicities can be fixed), % +%% (ii) you send me a copy of the book when it's published. % +%% % +%% HISTORY % +%% 3.91 Released 31 August 2006 % +%% Renamed "noPostScript" option as "UglyObsolete". % +%% 3.90 Released 11 April 2004 % +%% use PostScript=Rokicki not pure DVI by default % +%% 3.89 Released 7 July 2002 % +%% Added support for pdftex, which is recognised automatically. % +%% 3.88 Released 1 September 2000 % +%% Square hook tail: \newarrow{SquareInto}{sqhook}---> % +%% 3.87 Released 1 September 1999 % +%% This version was used for the final 1200dpi PS copy of my book % +%% ``Practical Foundations of Mathematics'' (Cambridge Univ Press) % +%% see http://www.cs.man.ac.uk/~pt/Practical_Foundations % +%% 3.86 Released 1 September 1998 % +%% New options hug and nohug in PostScript mode: [PS,nohug] uses % +%% PS for the arrows without rotating the labels, but the way of % +%% calculating the actual position of these horizontal labels on % +%% will remain subject to alteration for some period of time --- % +%% please send me examples if you feel that adjustment is needed. % +%% % +%% Suppress indentation of following text (due to LaTeX change) % +%% Mangle \left@label and \right@label (conflict with Elsevier). % +%% midvshaft and snake for vertical arrows % +%% New option [gap=width] (default=shortfall) to use instead of % +%% ~{\;} on horizontals and PS diagonals, as this caused ^ and _ % +%% labels to be moved too far away from the shaft. % +%% Added >-> and <-< heads and tails, same as >> and << but the % +%% shaft goes *through* the extra arrowhead. % +%% 3.85 Released 20 August 1997 % +%% New option [crab=distance] shifts horizontals and PS diagonals % +%% transversally by the specified distance (positive=upward). % +%% New option [snake=distance] shifts midshaft horizontals and % +%% PS diagonals longitudinally by the specified distance. % +%% New option [leftflush], like [flushleft] but reckons alignment % +%% from multiple verticals, or from text if there's no vertical. % +%% Most of the history has been suppressed from the user version. % +%% 3.83 Released 18 May 1995 % +%% "dotted" option (set dot filler on maps) % +%% Parallel maps (\pile) outside diagrams stretch correctly. % +%% Option "LaTeXeqno" uses LaTeX's equation number and style % +%% for "eqno"; LaTeX's \label command picks this up. % +%% Suppress warnings & 2nd pass errors with "silent" option. % +%% 3.81 Second alpha release 18 July 1994 % +%% \overprint{text} sets text in maths and overprints it in the % +%% current cell, centered in the column irrespective of other stuff% +%% "repositionpullbacks" option uses this for \SEpbk etc % +%% \newdiagramgrid declaration, grid option and pentagon grid. % +%% 3.80 Alpha release for adjusted diagonals 15 July 1994. % +%% Introduced landscape and portrait options. % +%% Diagonals adjusted to meet their endpoints, at last!!!! % +%% 3.28 Released 30 November 1993 % +%% Peter Freyd's \puncture symbol provided. % +%% 3.25 Released 30 January 1993 % +%% LaTeX heads made default (unless \tenln undefined, when vee) % +%% Circle, cross, little vee, little black triangle heads. % +%% First-use warning when defaulted diagonal components are used. % +%% AMSTEX emulation - works at least when amstex not present. % +%% 3.24 Release 7 Sept 1992 advertised to users. % +%% PostScript option introduced: % +%% LaTeX, vee, curlyvee, triangle & blacktriangle heads & tails % +%% TPIC option introduced as an alternative to \LaTeX@make@line. % +%% Postscript arrows (basic code). % +%% Implemented \newarrow \newarrowhead etc. % +%% Horizontal arrows outside diagram can stretch by wordspacing. % +%% Added < and > for labels on left and right of arrow; % +%% 3.16 (20.7.90) as mass mailed; only have mangled version % +%% -- all following version numbers are post-facto -- % +%% 3 (Jan 90) stretching vertical arrows % +%% 2 (Sept 89) horizontals stretch to objects; "superscript" labels % +%% 1 (1987) horizontal arrows stretch to edge of cell % +%% 0 (1986) implementation of Knuth's TeXercise 18.46 for my thesis % +%%======================================================================% + +%%======================================================================% +%% % +%% (1) CORRUPTION-SENSITIVE HACKS % +%% % +%%======================================================================% + +%% CORRUPTION & \catcode WARNING + +%% BITNET (IBM) machines may corrupt certain important characters +%% in transmission by electronic mail: +%% 0123456789=digits, abcdefghijklmnopqrstuvwxyz=lowers, +%% ABCDEFGHIJKLMNOPQRSTUVWXYZ=uppers, @=at (internal names), +%% {}=curly braces (grouping), \=backslash (keywords), +%% %=percent (comment), #=hash/sharp (argument), +=plus, -=minus, +%% <>=angle brackets (relations \ifnum,\ifdim), ==equals, +%% ,=comma, .=dot, :=colon, ;=semicolon, =space +%% $=dollar (maths) is only used in the "bits of maps" section + +%% The following characters are marked by a comment including the word "ASCII", +%% except in comments and messages: +%% &=and (alignment), ~=tilde, |=vertical, []=square brackets, +%% ^=caret (superscript), _=underline (subscript), +%% `=grave/backquote (catcodes), '=acute/single quote (octal), +%% "=double quote (hex), ()=round brackets, +%% /=slash, ?=query, !=pling/bang, + +%% The \catcode's marked * are assumed for reading this file: +%% \=0* {=1* }=2* $=3 &=4 return=5* #=6 ^=7 _=8 ignored=9* +%% space=10* letter=11* other=12 active=13 %=14* invalid=15 +%% If you want to load this package inside Stallman's "texinfo", you must do +%%% @catcode`@\=0 \catcode`\%=14 \input diagrams \catcode`\%=12 \catcode`\\=13 +%% and then use @diagram @rTo @\ @enddiagram etc. (braces {} stay the same). +%% Also need @catcode`@&=4. + +%%*** You *MUST NOT* use the internal commands (with names beginning \CD@)**** + +%% don't load me twice! +\ifx\diagram\CD@qK\else\message{WARNING: the \string\diagram\space command is +already defined and will not be loaded again}\expandafter\endinput\fi + +%% make @ letter, saving its old code to restore at the end of this file +%%% look for this on the last line of the file if you think something's missing! +%% the other \catcode assignments are to make it work with texinfo. +\edef\cdrestoreat{%% +\noexpand\catcode\lq\noexpand\@=\the\catcode\lq\@%% +\noexpand\catcode\lq\noexpand\#=\the\catcode\lq\#%% +\noexpand\catcode\lq\noexpand\$=\the\catcode\lq\$%% +\noexpand\catcode\lq\noexpand\<=\the\catcode\lq\<%% +\noexpand\catcode\lq\noexpand\>=\the\catcode\lq\>%% +\noexpand\catcode\lq\noexpand\:=\the\catcode\lq\:%% Johannes L. Braams's +\noexpand\catcode\lq\noexpand\;=\the\catcode\lq\;%% Babel languages package +\noexpand\catcode\lq\noexpand\!=\the\catcode\lq\!%% makes these \active. +\noexpand\catcode\lq\noexpand\?=\the\catcode\lq\?%% +\noexpand\catcode\lq\noexpand\+=\the\catcode\rq53% +%% texinfo @+ is @outer@active +}\catcode\lq\@=11 \catcode\lq\#=6 \catcode\lq\<=12 \catcode\lq\>=12 \catcode +\rq53=12 \catcode\lq\:=12 \catcode\lq\;=12 \catcode\lq\!=12 \catcode\lq\?=12 + +%% Change y to n if pool_size in your implementation of TeX is small. +%% This is reasonable if you have a small ("personal") computer, but if you +%%% have a sun, dec, hp, ... workstation or a mainframe, complain to your local +%% system manager and get him/her to install a version of TeX with bigger +%% parameters. The "hash size" (number of command names) gets you next. +\ifx\diagram@help@messages\CD@qK\let\diagram@help@messages y\fi + +%% The following macro is used to include literal PostScript commands in the +%% DVI file for rotation, etc. Since this goes beyond standard TeX, it is +%%% dependent on the convention used by your local DVI-to-PostScript translator. +%% Choose whichever line applies to the program used at your site, or, if +%% yours is not listed, consult the manual, experiment with this macro and +%% (please) tell me what is needed to make it work. +%% +%% +%%% dvips (Tomas Rokicki, Radical Eye) labrea.stanford.edu /pub/dvips9999.tar.Z +%% CTAN: dviware/dvips +\def\cdps@Rokicki#1{\special{ps:#1}}\let\cdps@dvips\cdps@Rokicki\let +\cdps@RadicalEye\cdps@Rokicki\let\CD@HB\cdps@Rokicki\let\CD@IK\cdps@Rokicki +\let\CD@HB\cdps@Rokicki%% +%% I'm not sure that the rest work. +%% +%% dvitps (Stephan Bechtolsheim, Integrated Computer Systems) +%% arthur.cs.purdue.edu /pub/TeXPS-9.99.tar.Z +\def\cdps@Bechtolsheim#1{\special{dvitps: Literal "#1"}}% +%% ASCII two dbl quotes +\let\cdps@dvitps\cdps@Bechtolsheim\let\cdps@IntegratedComputerSystems +\cdps@Bechtolsheim%% +%% dvitops (James Clark) +%% CTAN: dviware/dvitops +\def\cdps@Clark#1{\special{dvitops: inline #1}}%% +\let\cdps@dvitops\cdps@Clark%% +%% OzTeX (Andrew Trevorrow) cannot be used +\let\cdps@OzTeX\empty\let\cdps@oztex\empty\let\cdps@Trevorrow\empty%% +%% dvi3ps (Kevin Coombes) +%% CTAN: dviware/dvi2ps/dvi3ps +\def\cdps@Coombes#1{\special{ps-string #1}}%% +%% psprint (Trevorrow) CTAN: dviware/psprint +%% dvi2ps (Senn) CTAN: dviware/dvi2ps +%% psdvi (Elwell) CTAN: dviware/dvi2ps/psdvi + +\count@=\year\multiply\count@12 \advance\count@\month%% +\ifnum\count@>24096 %% (December 2007) +\message{***********************************************************}%%ascii +\message{! YOU HAVE AN OUT OF DATE VERSION OF COMMUTATIVE DIAGRAMS! *}%% +\message{! it expired in December 2007 and is time-bombed for April *}%% +\message{! You may get an up to date version of this package from *}%%ascii +\message{! either www.ctan.org or www.cs.man.ac.uk/~pt/diagrams/ *}%% +\message{***********************************************************}%%ascii +\ifnum\count@>24099 %% (March 2008) +\errhelp{You may press RETURN and carry on for the time being.}\message{! It +is embarrassing to see papers in conference proceedings}\message{! and +journals containing bugs which I had fixed years before.}\message{! It is easy +to obtain and install a new version, which will}\errmessage{! remain +compatible with your files. Please get it NOW.}\fi\fi + +\def\CD@DE{\global\let}\def\CD@RH{\outer\def} + +%% safe names for braces, tab (&) and maths ($), as commands and for messages +{\escapechar\m@ne\xdef\CD@o{\string\{}\xdef\CD@yC{\string\}}%% +%% +%% three ASCII ampersands (ands) (&&&) appear on the next line +\catcode\lq\&=4 \CD@DE\CD@Q=&\xdef\CD@S{\string\&}%%ascii three ands +%% +%% ASCII ^ and _ each appear twice on next line +%% six ASCII dollars ($$$$$$) appear on the next two lines. +\catcode\lq\$=3 \CD@DE\CD@k=$\CD@DE\CD@ND=$%%ascii three dollars +\xdef\CD@nC{\string\$}\gdef\CD@LG{$$}%%ascii three dollars +%% +%% two ASCII underlines (__) appear on the next line. +\catcode\lq\_=8 \CD@DE\CD@lJ=_%%ascii two underlines +%% +%% eight ASCII carets (^^^^^^^^) appear on the next three lines. +\obeylines\catcode\lq\^=7 \CD@DE\@super=^%%ascii two carets +\ifnum\newlinechar=10 \gdef\CD@uG{^^J}%%ascii two carets +\else\ifnum\newlinechar=13 \gdef\CD@uG{^^M}%%ascii two carets +\else\ifnum\newlinechar=-1 \gdef\CD@uG{^^J}%%ascii two carets +\else\CD@DE\CD@uG\space\expandafter\message{! input error: \noexpand +\newlinechar\space is ASCII \the\newlinechar, not LF=10 or CR=13.}%% +\fi\fi\fi}%% + +%% avoid using <> (because I personally re-define them to mean \langle\rangle) +\mathchardef\lessthan=\rq30474 \mathchardef\greaterthan=\rq30476 + +%% LaTeX line and arrowhead font +%% the "hit return" comments show up if the font is missing. +\ifx\tenln\CD@qK%% +\font\tenln=line10\relax%% Hit return - who needs diagonals? +\fi\ifx\tenlnw\CD@qK\ifx\tenln\nullfont\let\tenlnw\nullfont\else%% +\font\tenlnw=linew10\relax%% Hit return - who needs diagonals? +\fi\fi%% + +%% report line numbers in TeX3 only +\ifx\inputlineno\CD@qK\csname newcount\endcsname\inputlineno\inputlineno\m@ne +\message{***************************************************}\message{! +Obsolete TeX (version 2). You should upgrade to *}\message{! version 3, which +has been available since 1990. *}\message{***********************************% +****************}\fi + +\def\cd@shouldnt#1{\CD@KB{* THIS (#1) SHOULD NEVER HAPPEN! *}} + +%% turn round- and square-bracketed arguments into curly-bracketed +\def\get@round@pair#1(#2,#3){#1{#2}{#3}}%%ascii round brackets () +\def\get@square@arg#1[#2]{#1{#2}}%%ascii square brackets [] +\def\CD@AE#1{\CD@PK\let\CD@DH\CD@@E\CD@@E#1,],}%%ascii sq brackets +\def\CD@m{[}\def\CD@RD{]}\def\commdiag#1{{\let\enddiagram\relax\diagram[]#1% +\enddiagram}} + +%% ASCII open square bracket occurs on next line +\def\CD@BF{{\ifx\CD@EH[\aftergroup\get@square@arg\aftergroup\CD@YH\else +\aftergroup\CD@JH\fi}}%% +\def\CD@CF#1#2{\def\CD@YH{#1}\def\CD@JH{#2}\futurelet\CD@EH\CD@BF} + +%% ASCII vertical bar (|) occurs on the next line +\def\CD@KK{|} + +\def\CD@PB{%% arguments to maps inside diagrams +\tokcase\CD@DD:\CD@y\break@args;\catcase\@super:\upper@label;\catcase\CD@lJ:% +\lower@label;\tokcase{~}:\middle@label;%%ascii tilde +\tokcase<:\CD@iF;%%ascii less-than +\tokcase>:\CD@iI;%%ascii greater-than +\tokcase(:\CD@BC;%%)%ascii open round bracket +\tokcase[:\optional@;%%]%ascii open square bracket +\tokcase.:\CD@JJ;%%ascii dot 12.7.94 +\catcase\space:\eat@space;\catcase\bgroup:\positional@;\default:\CD@@A +\break@args;\endswitch} + +\def\switch@arg{%% arguments to horizontal maps outside diagrams +\catcase\@super:\upper@label;\catcase\CD@lJ:\lower@label;\tokcase[:\optional@ +;%%]%ascii open square bracket +\tokcase.:\CD@JJ;%%ascii dot 12.7.94 % ; was : before 15.6.97 +\catcase\space:\eat@space;\catcase\bgroup:\positional@;\tokcase{~}:% +\middle@label;%%ascii tilde (questionable!) +\default:\CD@y\break@args;\endswitch} + +%% That's as much as you get to read "in clear" - the rest is private! + +\let\CD@tJ\relax\ifx\protect\CD@qK\let\protect\relax\fi\ifx\AtEndDocument +\CD@qK\def\CD@PG{\CD@gB}\def\CD@GF#1#2{}\else\def\CD@PG#1{\edef\CD@CH{#1}% +\expandafter\CD@oC\CD@CH\CD@OD}\def\CD@oC#1\CD@OD{\AtEndDocument{\typeout{% +\CD@tA: #1}}}\def\CD@GF#1#2{\gdef#1{#2}\AtEndDocument{#1}}\fi\def\CD@ZA#1#2{% +\def#1{\CD@PG{#2\CD@mD\CD@W}\CD@DE#1\relax}}\def\CD@uF#1\repeat{\def\CD@p{#1}% +\CD@OF}\def\CD@OF{\CD@p\relax\expandafter\CD@OF\fi}\def\CD@sF#1\repeat{\def +\CD@q{#1}\CD@PF}\def\CD@PF{\CD@q\relax\expandafter\CD@PF\fi}\def\CD@tF#1% +\repeat{\def\CD@r{#1}\CD@QF}\def\CD@QF{\CD@r\relax\expandafter\CD@QF\fi}\def +\CD@tG#1#2#3{\def#2{\let#1\iftrue}\def#3{\let#1\iffalse}#3}\if y% +\diagram@help@messages\def\CD@rG#1#2{\csname newtoks\endcsname#1#1=% +\expandafter{\csname#2\endcsname}}\else\csname newtoks\endcsname\no@cd@help +\no@cd@help{See the manual}\def\CD@rG#1#2{\let#1\no@cd@help}\fi\chardef\CD@lF +=1 \chardef\CD@lI=2 \chardef\CD@MH=5 \chardef\CD@tH=6 \chardef\CD@sH=7 +\chardef\CD@PC=9 \dimendef\CD@hI=2 \dimendef\CD@hF=3 \dimendef\CD@mF=4 +\dimendef\CD@mI=5 \dimendef\CD@wJ=6 \dimendef\CD@tI=8 \dimendef\CD@sI=9 +\skipdef\CD@uB=1 \skipdef\CD@NF=2 \skipdef\CD@tB=3 \skipdef\CD@ZE=4 \skipdef +\CD@JK=5 \skipdef\CD@kI=6 \skipdef\CD@kF=7 \skipdef\CD@qI=8 \skipdef\CD@pI=9 +\countdef\CD@JC=9 \countdef\CD@gD=8 \countdef\CD@A=7 \def\sdef#1#2{\def#1{#2}% +}\def\CD@L#1{\expandafter\aftergroup\csname#1\endcsname}\def\CD@RC#1{% +\expandafter\def\csname#1\endcsname}\def\CD@sD#1{\expandafter\gdef\csname#1% +\endcsname}\def\CD@vC#1{\expandafter\edef\csname#1\endcsname}\def\CD@nF#1#2{% +\expandafter\let\csname#1\expandafter\endcsname\csname#2\endcsname}\def\CD@EE +#1#2{\expandafter\CD@DE\csname#1\expandafter\endcsname\csname#2\endcsname}% +\def\CD@AK#1{\csname#1\endcsname}\def\CD@XJ#1{\expandafter\show\csname#1% +\endcsname}\def\CD@ZJ#1{\expandafter\showthe\csname#1\endcsname}\def\CD@WJ#1{% +\expandafter\showbox\csname#1\endcsname}\def\CD@tA{Commutative Diagram}\edef +\CD@kH{\string\par}\edef\CD@dC{\string\diagram}\edef\CD@HD{\string\enddiagram +}\edef\CD@EC{\string\\}\def\CD@eF{LaTeX}\ifx\@ignoretrue\CD@qK\expandafter +\CD@tG\csname if@ignore\endcsname\ignore@true\ignore@false\def\@ignoretrue{% +\global\ignore@true}\def\@ignorefalse{\global\ignore@false}\fi + +\def\CD@g{{\ifnum0=\lq}\fi}\def\CD@wC{\ifnum0=\lq{\fi}}\def\catcase#1:{\ifcat +\noexpand\CD@EH#1\CD@tJ\expandafter\CD@kC\else\expandafter\CD@dJ\fi}\def +\tokcase#1:{\ifx\CD@EH#1\CD@tJ\expandafter\CD@kC\else\expandafter\CD@dJ\fi}% +\def\CD@kC#1;#2\endswitch{#1}\def\CD@dJ#1;{}\let\endswitch\relax\def\default:% +#1;#2\endswitch{#1}\ifx\at@\CD@qK\def\at@{@}\fi\edef\CD@P{\CD@o pt\CD@yC}% +\CD@RC{\CD@P>}#1>#2>{\CD@z\rTo\sp{#1}\sb{#2}\CD@z}\CD@RC{\CD@P<}#1<#2<{\CD@z +\lTo\sp{#1}\sb{#2}\CD@z}\CD@RC{\CD@P)}#1)#2){\CD@z\rTo\sp{#1}\sb{#2}\CD@z}% +%%ascii round +\CD@RC{\CD@P(}#1(#2({\CD@z\lTo\sp{#1}\sb{#2}\CD@z}%%ascii brack +\def\CD@O{\def\endCD{\enddiagram}\CD@RC{\CD@P A}##1A##2A{\uTo<{##1}>{##2}% +\CD@z\CD@z}\CD@RC{\CD@P V}##1V##2V{\dTo<{##1}>{##2}\CD@z\CD@z}\CD@RC{\CD@P=}{% +\CD@z\hEq\CD@z}\CD@RC{\CD@P\CD@KK}{\vEq\CD@z\CD@z}\CD@RC{\CD@P\string\vert}{% +\vEq\CD@z\CD@z}\CD@RC{\CD@P.}{\CD@z\CD@z}\let\CD@z\CD@Q}\def\CD@IE{\let\tmp +\CD@JE\ifcat A\noexpand\CD@CH\else\ifcat=\noexpand\CD@CH\else\ifcat\relax +\noexpand\CD@CH\else\let\tmp\at@\fi\fi\fi\tmp}\def\CD@JE#1{\CD@nF{tmp}{\CD@P +\string#1}\ifx\tmp\relax\def\tmp{\at@#1}\fi\tmp}\def\CD@z{}\begingroup +\aftergroup\def\aftergroup\CD@T\aftergroup{\aftergroup\def\catcode\lq\@% +\active\aftergroup @\endgroup{\futurelet\CD@CH\CD@IE}}\newcount\CD@uA +\newcount\CD@vA\newcount\CD@wA\newcount\CD@xA\newdimen\CD@OA\newdimen\CD@PA +\CD@tG\CD@gE\CD@@A\CD@y\CD@tG\CD@hE\CD@EA\CD@BA\newdimen\CD@RA\newdimen\CD@SA +\newcount\CD@yA\newcount\CD@zA\newdimen\CD@QA\newbox\CD@DA\CD@tG\CD@lE\CD@dA +\CD@bA\newcount\CD@LH\newcount\CD@TC\def\CD@V#1#2{\ifdim#1<#2\relax#1=#2% +\relax\fi}\def\CD@X#1#2{\ifdim#1>#2\relax#1=#2\relax\fi}\newdimen\CD@XH\CD@XH +=1sp \newdimen\CD@zC\CD@zC\z@\def\CD@cJ{\ifdim\CD@zC=1em\else\CD@nJ\fi}\def +\CD@nJ{\CD@zC1em\def\CD@NC{\fontdimen8\textfont3 }\CD@@J\CD@NJ\setbox0=\vbox{% +\CD@t\noindent\CD@k\null\penalty-9993\null\CD@ND\null\endgraf\setbox0=% +\lastbox\unskip\unpenalty\setbox1=\lastbox\global\setbox\CD@IG=\hbox{\unhbox0% +\unskip\unskip\unpenalty\setbox0=\lastbox}\global\setbox\CD@KG=\hbox{\unhbox1% +\unskip\unpenalty\setbox1=\lastbox}}}\newdimen\CD@@I\CD@@I=1true in \divide +\CD@@I300 \def\CD@zH#1{\multiply#1\tw@\advance#1\ifnum#1<\z@-\else+\fi\CD@@I +\divide#1\tw@\divide#1\CD@@I\multiply#1\CD@@I}\def\MapBreadth{% +\afterassignment\CD@gI\CD@LF}\newdimen\CD@LF\newdimen\CD@oI\def\CD@gI{\CD@oI +\CD@LF\CD@V\CD@@I{4\CD@XH}\CD@X\CD@@I\p@\CD@zH\CD@oI\ifdim\CD@LF>\z@\CD@V +\CD@oI\CD@@I\fi\CD@cJ}\def\CD@RJ#1{\CD@zD\count@\CD@@I#1\ifnum\count@>\z@ +\divide\CD@@I\count@\fi\CD@gI\CD@NJ}\def\CD@NJ{\dimen@\CD@QC\count@\dimen@ +\divide\count@5\divide\count@\CD@@I\edef\CD@OC{\the\count@}}\def\CD@AJ{\CD@QJ +\z@}\def\CD@QJ#1{\CD@tI\axisheight\advance\CD@tI#1\relax\advance\CD@tI-.5% +\CD@oI\CD@zH\CD@tI\CD@sI-\CD@tI\advance\CD@tI\CD@LF}\newdimen\CD@DC\CD@DC\z@ +\newdimen\CD@eJ\CD@eJ\z@\def\CD@CJ#1{\CD@sI#1\relax\CD@tI\CD@sI\advance\CD@tI +\CD@LF\relax}\def\horizhtdp{height\CD@tI depth\CD@sI}\def\axisheight{% +\fontdimen22\the\textfont\tw@}\def\script@axisheight{\fontdimen22\the +\scriptfont\tw@}\def\ss@axisheight{\fontdimen22\the\scriptscriptfont\tw@}\def +\CD@NC{0.4pt}\def\CD@VK{\fontdimen3\textfont\z@}\def\CD@UK{\fontdimen3% +\textfont\z@}\newdimen\PileSpacing\newdimen\CD@nA\CD@nA\z@\def\CD@RG{% +\ifincommdiag1.3em\else2em\fi}\newdimen\CD@YB\def\CellSize{\afterassignment +\CD@kB\DiagramCellHeight}\newdimen\DiagramCellHeight\DiagramCellHeight-% +\maxdimen\newdimen\DiagramCellWidth\DiagramCellWidth-\maxdimen\def\CD@kB{% +\DiagramCellWidth\DiagramCellHeight}\def\CD@QC{3em}\newdimen\MapShortFall\def +\MapsAbut{\MapShortFall\z@\objectheight\z@\objectwidth\z@}\newdimen\CD@iA +\CD@iA\z@\CD@tG\CD@vE\CD@aB\CD@ZB\expandafter\ifx\expandafter\iftrue\csname +ifUglyObsoleteDiagrams\endcsname\CD@ZB\else\CD@aB\fi\CD@nF{% +ifUglyObsoleteDiagrams}{relax}\newif\ifUglyObsoleteDiagrams\def\CD@nK{\CD@aB +\UglyObsoleteDiagramsfalse}\def\CD@oK{\CD@ZB\UglyObsoleteDiagramstrue}\CD@vE +\CD@nK\else\CD@oK\fi\CD@tG\CD@hK\CD@dK\CD@cK\CD@cK\def\CD@pK{\global\CD@dK +\global\CD@aB\global\UglyObsoleteDiagramsfalse\global\let\CD@n\empty\global +\let\CD@oK\relax}\def\newarrowhead{\CD@mG h\CD@BG\CD@GG>}\def\newarrowtail{% +\CD@mG t\CD@BG\CD@GG>}\def\newarrowmiddle{\CD@mG m\CD@BG\hbox@maths\empty}% +\def\newarrowfiller{\CD@mG f\CD@bE\CD@MK-}\def\CD@mG#1#2#3#4#5#6#7#8#9{\CD@RC +{r#1:#5}{#2{#6}}\CD@RC{l#1:#5}{#2{#7}}\CD@RC{d#1:#5}{#3{#8}}\CD@RC{u#1:#5}{#3% +{#9}}\CD@vC{-#1:#5}{\expandafter\noexpand\csname-#1:#4\endcsname\noexpand +\CD@MC}\CD@vC{+#1:#5}{\expandafter\noexpand\csname+#1:#4\endcsname\noexpand +\CD@MC}}\CD@ZA\CD@MC{\CD@eF\space diagonals are used unless PostScript is set% +}\def\defaultarrowhead#1{\edef\CD@sJ{#1}\CD@@J}\def\CD@@J{\CD@IJ\CD@sJ<>ht% +\CD@IJ\CD@sJ<>th}\def\CD@IJ#1#2#3#4#5{\CD@HJ{r#4}{#3}{l#5}{#2}{r#4:#1}\CD@HJ{% +r#5}{#2}{l#4}{#3}{l#4:#1}\CD@HJ{d#4}{#3}{u#5}{#2}{d#4:#1}\CD@HJ{d#5}{#2}{u#4}% +{#3}{u#4:#1}}\def\CD@HJ#1#2#3#4#5{\begingroup\aftergroup\CD@GJ\CD@L{#1+:#2}% +\CD@L{#1:#2}\CD@L{#3:#4}\CD@L{#5}\endgroup}\def\CD@GJ#1#2#3#4{\csname newbox% +\endcsname#1\def#2{\copy#1}\def#3{\copy#1}\setbox#1=\box\voidb@x}\def\CD@sJ{}% +\CD@@J\def\CD@GJ#1#2#3#4{\setbox#1=#4}\ifx\tenln\nullfont\def\CD@sJ{vee}\else +\let\CD@sJ\CD@eF\fi\def\CD@xF#1#2#3{\begingroup\aftergroup\CD@wF\CD@L{#1#2:#3% +#3}\CD@L{#1#2:#3}\aftergroup\CD@yF\CD@L{#1#2:#3-#3}\CD@L{#1#2:#3}\endgroup}% +\def\CD@wF#1#2{\def#1{\hbox{\rlap{#2}\kern.4\CD@zC#2}}}\def\CD@yF#1#2{\def#1{% +\hbox{\rlap{#2}\kern.4\CD@zC#2\kern-.4\CD@zC}}}\CD@xF lh>\CD@xF rt>\CD@xF rh<% +\CD@xF rt<\def\CD@yF#1#2{\def#1{\hbox{\kern-.4\CD@zC\rlap{#2}\kern.4\CD@zC#2}% +}}\CD@xF rh>\CD@xF lh<\CD@xF lt>\CD@xF lt<\def\CD@wF#1#2{\def#1{\vbox{\vbox to% +\z@{#2\vss}\nointerlineskip\kern.4\CD@zC#2}}}\def\CD@yF#1#2{\def#1{\vbox{% +\vbox to\z@{#2\vss}\nointerlineskip\kern.4\CD@zC#2\kern-.4\CD@zC}}}\CD@xF uh>% +\CD@xF dt>\CD@xF dh<\CD@xF dt<\def\CD@yF#1#2{\def#1{\vbox{\kern-.4\CD@zC\vbox +to\z@{#2\vss}\nointerlineskip\kern.4\CD@zC#2}}}\CD@xF dh>\CD@xF ut>\CD@xF uh<% +\CD@xF ut<\def\CD@BG#1{\hbox{\mathsurround\z@\offinterlineskip\CD@k\mkern-1.5% +mu{#1}\mkern-1.5mu\CD@ND}}\def\hbox@maths#1{\hbox{\CD@k#1\CD@ND}}\def\CD@GG#1% +{\hbox to\CD@LF{\setbox0=\hbox{\offinterlineskip\mathsurround\z@\CD@k{#1}% +\CD@ND}\dimen0.5\wd0\advance\dimen0-.5\CD@oI\CD@zH{\dimen0}\kern-\dimen0% +\unhbox0\hss}}\def\CD@sB#1{\hbox to2\CD@LF{\hss\offinterlineskip\mathsurround +\z@\CD@k{#1}\CD@ND\hss}}\def\CD@vF#1{\hbox{\mathsurround\z@\CD@k{#1}\CD@ND}}% +\def\CD@bE#1{\hbox{\kern-.15\CD@zC\CD@k{#1}\CD@ND\kern-.15\CD@zC}}\def\CD@MK#% +1{\vbox{\offinterlineskip\kern-.2ex\CD@GG{#1}\kern-.2ex}}\def\@fillh{% +\xleaders\vrule\horizhtdp}\def\@fillv{\xleaders\hrule width\CD@LF}\CD@nF{rf:-% +}{@fillh}\CD@nF{lf:-}{@fillh}\CD@nF{df:-}{@fillv}\CD@nF{uf:-}{@fillv}\CD@nF{% +rh:}{null}\CD@nF{rm:}{null}\CD@nF{rt:}{null}\CD@nF{lh:}{null}\CD@nF{lm:}{null% +}\CD@nF{lt:}{null}\CD@nF{dh:}{null}\CD@nF{dm:}{null}\CD@nF{dt:}{null}\CD@nF{% +uh:}{null}\CD@nF{um:}{null}\CD@nF{ut:}{null}\CD@nF{+h:}{null}\CD@nF{+m:}{null% +}\CD@nF{+t:}{null}\CD@nF{-h:}{null}\CD@nF{-m:}{null}\CD@nF{-t:}{null}\def +\CD@@D{\hbox{\vrule height 1pt depth-1pt width 1pt}}\CD@RC{rf:}{\CD@@D}\CD@nF +{lf:}{rf:}\CD@nF{+f:}{rf:}\CD@RC{df:}{\CD@@D}\CD@nF{uf:}{df:}\CD@nF{-f:}{df:}% +\def\CD@BD{\CD@U\null\CD@@D\null\CD@@D\null}\edef\CD@lG{\string\newarrow}\def +\newarrow#1#2#3#4#5#6{\begingroup\edef\@name{#1}\edef\CD@oJ{#2}\edef\CD@iD{#3% +}\edef\CD@QG{#4}\edef\CD@jD{#5}\edef\CD@LE{#6}\let\CD@HE\CD@sG\let\CD@FK +\CD@BH\let\@x\CD@AH\ifx\CD@oJ\CD@iD\let\CD@oJ\empty\fi\ifx\CD@LE\CD@jD\let +\CD@LE\empty\fi\def\CD@LI{r}\def\CD@SF{l}\def\CD@IC{d}\def\CD@yJ{u}\def\CD@gH +{+}\def\@m{-}\ifx\CD@iD\CD@jD\ifx\CD@QG\CD@iD\let\CD@QG\empty\fi\ifx\CD@LE +\empty\ifx\CD@iD\CD@aE\let\@x\CD@yG\else\let\@x\CD@zG\fi\fi\else\edef\CD@a{% +\CD@iD\CD@oJ}\ifx\CD@a\empty\ifx\CD@QG\CD@jD\let\CD@QG\empty\fi\fi\fi\ifmmode +\aftergroup\CD@kG\else\CD@@A\CD@oB rh{head\space\space}\CD@LE\CD@oB rf{filler% +}\CD@iD\CD@oB rm{middle}\CD@QG\ifx\CD@jD\CD@iD\else\CD@oB rf{filler}\CD@jD\fi +\CD@oB rt{tail\space\space}\CD@oJ\CD@gE\CD@HE\CD@FK\@x\CD@nG l-2+2{lu}{nw}% +\NorthWest\CD@nG r+2+2{ru}{ne}\NorthEast\CD@nG l-2-2{ld}{sw}\SouthWest\CD@nG r% ++2-2{rd}{se}\SouthEast\else\aftergroup\CD@b\CD@L{r\@name}\fi\fi\endgroup}\def +\CD@sG{\CD@vG\CD@LI\CD@SF rl\Horizontal@Map}\def\CD@BH{\CD@vG\CD@IC\CD@yJ du% +\Vertical@Map}\def\CD@AH{\CD@vG\CD@gH\@m+-\Vector@Map}\def\CD@yG{\CD@vG\CD@gH +\@m+-\Slant@Map}\def\CD@zG{\CD@vG\CD@gH\@m+-\Slope@Map}\catcode\lq\/=\active +\def\CD@vG#1#2#3#4#5{\CD@jG#1#3#5t:\CD@oJ/f:\CD@iD/m:\CD@QG/f:\CD@jD/h:\CD@LE +//\CD@jG#2#4#5h:\CD@LE/f:\CD@jD/m:\CD@QG/f:\CD@iD/t:\CD@oJ//}\def\CD@jG#1#2#3% +#4//{\edef\CD@fG{#2}\aftergroup\sdef\CD@L{#1\@name}\aftergroup{\aftergroup#3% +\CD@M#4//\aftergroup}}\def\CD@M#1/{\edef\CD@EH{#1}\ifx\CD@EH\empty\else\CD@L{% +\CD@fG#1}\expandafter\CD@M\fi}\catcode\lq\/=12 \def\CD@nG#1#2#3#4#5#6#7#8{% +\aftergroup\sdef\CD@L{#6\@name}\aftergroup{\CD@L{#2\@name}\if#2#4\aftergroup +\CD@CI\else\aftergroup\CD@BI\fi\CD@L{#1\@name}% +%% ASCII round brackets and comma (,) appear on the next line +\aftergroup(\aftergroup#3\aftergroup,\aftergroup#5\aftergroup)\aftergroup}}% +\def\CD@oB#1#2#3#4{\expandafter\ifx\csname#1#2:#4\endcsname\relax\CD@y\CD@gB{% +arrow#3 "#4" undefined}\fi}\CD@rG\CD@VE{All five components must be defined +before an arrow.}\CD@rG\CD@SE{\CD@lG, unlike \string\HorizontalMap, is a +declaration.}\def\CD@b#1{\CD@YA{Arrows \string#1 etc could not be defined}% +\CD@VE}\def\CD@kG{\CD@YA{misplaced \CD@lG}\CD@SE}\def\newdiagramgrid#1#2#3{% +\CD@RC{cdgh@#1}{#2,],}%% ASCII close square bracket +\CD@RC{cdgv@#1}{#3,],}}%% ASCII close square bracket +\CD@tG\ifincommdiag\incommdiagtrue\incommdiagfalse\CD@tG\CD@@F\CD@IF\CD@HF +\newcount\CD@VA\CD@VA=0 \def\CD@yH{\CD@VA6 }\def\CD@OB{\CD@VA1 \global\CD@yA1 +\CD@DE\CD@YF\empty}\def\CD@YF{}\def\CD@nB#1{\relax\CD@MD\edef\CD@vJ{#1}% +\begingroup\CD@rE\else\ifcase\CD@VA\ifmmode\else\CD@YG\CD@E0\fi\or\CD@cE5\or +\CD@YG\CD@F5\or\CD@YG\CD@B5\or\CD@YG\CD@B5\or\CD@YG\CD@C5\or\CD@cE7\or\CD@YG +\CD@D7\fi\fi\endgroup\xdef\CD@YF{#1}}\def\CD@pB#1#2#3#4#5{\relax\CD@MD\xdef +\CD@vJ{#4}\begingroup\ifnum\CD@VA<#1 \expandafter\CD@cE\ifcase\CD@VA0\or#2\or +#3\else#2\fi\else\ifnum\CD@VA<6 \CD@tJ\CD@YG\CD@B#2\else\CD@YG\CD@G#2\fi\fi +\endgroup\CD@DE\CD@YF\CD@vJ\ifincommdiag\let\CD@ZD#5\else\let\CD@ZD\CD@LK\fi}% +\def\CD@yI{\global\CD@yA=\ifnum\CD@VA<5 1\else2\fi\relax}\def\CD@OI{\CD@VA +\CD@yA}\def\CD@cE#1{\aftergroup\CD@VA\aftergroup#1\aftergroup\relax}\def +\CD@HH{\def\CD@nB##1{\relax}\let\CD@pB\CD@FH\let\CD@yH\relax\let\CD@OB\relax +\let\CD@yI\relax\let\CD@OI\relax}\def\CD@FH#1#2#3#4#5{\ifincommdiag\let\CD@ZD +#5\else\xdef\CD@vJ{#4}\let\CD@ZD\CD@LK\fi}\def\CD@YG#1{\aftergroup#1% +\aftergroup\relax\CD@cE}\def\CD@B{\CD@YE\CD@S\CD@ME\CD@Q}\def\CD@G{\CD@YE{% +\CD@yC\CD@S}\CD@XE\CD@QD\CD@Q}\def\CD@F{\CD@YE{*\CD@S}\CD@RE\clubsuit\CD@Q}% +\def\CD@C{\CD@YE{\CD@S*\CD@S}\CD@RE\CD@Q\clubsuit\CD@Q}\def\CD@D{\CD@YE\CD@EC +\CD@TE\\}\def\CD@E{\CD@YE\CD@nC\CD@QE\CD@k}\def\CD@LK{\CD@YA{\CD@vJ\space +ignored \CD@dH}\CD@WE}\def\CD@FE{}\def\CD@d{\CD@YA{maps must never be enclosed +in braces}\CD@OE}\def\CD@dH{outside diagram}\def\CD@FC{\string\HonV, \string +\VonH\space and \string\HmeetV}\CD@rG\CD@ME{The way that horizontal and +vertical arrows are terminated implicitly means\CD@uG that they cannot be +mixed with each other or with \CD@FC.}\CD@rG\CD@XE{\string\pile\space is for +parallel horizontal arrows; verticals can just be put together in\CD@uG a cell% +. \CD@FC\space are not meaningful in a \string\pile.}\CD@rG\CD@RE{The +horizontal maps must point to an object, not each other (I've put in\CD@uG one +which you're unlikely to want). Use \string\pile\space if you want them +parallel.}\CD@rG\CD@TE{Parallel horizontal arrows must be in separate layers +of a \string\pile.}\CD@rG\CD@QE{Horizontal arrows may be used \CD@dH s, but +must still be in maths.}\CD@rG\CD@WE{Vertical arrows, \CD@FC\space\CD@dH s don% +'t know where\CD@uG where to terminate.}\CD@rG\CD@OE{This prevents them from +stretching correctly.}\def\CD@YE#1{\CD@YA{"#1" inserted \ifx\CD@YF\empty +before \CD@vJ\else between \CD@YF\ifx\CD@YF\CD@vJ s\else\space and \CD@vJ\fi +\fi}}\count@=\year\multiply\count@12 \advance\count@\month\ifnum\count@>24103 +\message{because this one expired in July 2008!}\expandafter\endinput\fi\def +\Horizontal@Map{\CD@nB{horizontal map}\CD@LC\CD@TJ\CD@qD}\def\CD@TJ{\CD@GB-% +9999 \let\CD@ZD\CD@XD\ifincommdiag\else\CD@cJ\ifinpile\else\skip2\z@ plus 1.5% +\CD@VK minus .5\CD@UK\skip4\skip2 \fi\fi\let\CD@kD\@fillh\CD@nF{fill@dot}{rf:% +.}}\def\Vector@Map{\CD@HK4}\def\Slant@Map{\CD@HK{\CD@EF255\else6\fi}}\def +\Slope@Map{\CD@HK\CD@OC}\def\CD@HK#1#2#3#4#5#6{\CD@LC\def\CD@WK{2}\def\CD@aK{% +2}\def\CD@ZK{1}\def\CD@bK{1}\let\Horizontal@Map\CD@nI\def\CD@OG{#1}\def\CD@NI +{\CD@U#2#3#4#5#6}}\def\CD@nI{\CD@TJ\CD@JB\let\CD@ZD\CD@TD\CD@qD}\CD@tG\CD@pE +\CD@rA\CD@qA\CD@rA\def\cds@missives{\CD@rA}\def\CD@TD{\CD@vE\let\CD@OG\CD@OC +\CD@x\CD@zE\CD@WF\fi\setbox0\hbox{\incommdiagfalse\CD@HI}\CD@pE\CD@aD\else +\global\CD@YC\CD@bD\fi\ifvoid6 \ifvoid7 \CD@eE\fi\fi\CD@zE\else\CD@BD\global +\CD@YC\let\CD@CG\CD@IH\CD@YD\fi\else\CD@NI\CD@MI\global\CD@YC\CD@YD\fi}\def +\CD@LC{\begingroup\dimen1=\MapShortFall\dimen2=\CD@RG\dimen5=\MapShortFall +\setbox3=\box\voidb@x\setbox6=\box\voidb@x\setbox7=\box\voidb@x\CD@pD +\mathsurround\z@\skip2\z@ plus1fill minus 1000pt\skip4\skip2 \CD@TB}\CD@tG +\CD@tE\CD@UB\CD@TB\def\CD@U#1#2#3#4#5{\let\CD@oJ#1\let\CD@iD#2\let\CD@QG#3% +\let\CD@jD#4\let\CD@LE#5\CD@TB\ifx\CD@iD\CD@jD\CD@UB\fi}\def\CD@qD#1#2#3#4#5{% +\CD@U#1#2#3#4#5\CD@tD}\def\Vertical@Map{\CD@pB433{vertical map}\CD@cD\CD@LC +\CD@GB-9995 \let\CD@kD\@fillv\CD@nF{fill@dot}{df:.}\CD@qD}\def\break@args{% +\def\CD@tD{\CD@ZD}\CD@ZD\endgroup\aftergroup\CD@FE}\def\CD@MJ{\setbox1=\CD@oJ +\setbox5=\CD@LE\ifvoid3 \ifx\CD@QG\null\else\setbox3=\CD@QG\fi\fi\CD@@G2% +\CD@iD\CD@@G4\CD@jD}\def\CD@pF#1{\ifvoid1\else\CD@oF1#1\fi\ifvoid2\else\CD@oF +2#1\fi\ifvoid3\else\CD@oF3#1\fi\ifvoid4\else\CD@oF4#1\fi\ifvoid5\else\CD@oF5#% +1\fi} \def\CD@oF#1#2{\setbox#1\vbox{\offinterlineskip\box#1\dimen@\prevdepth +\advance\dimen@-#2\relax\setbox0\null\dp0\dimen@\ht0-\dimen@\box0}}\def\CD@@G +#1#2{\ifx#2\CD@kD\setbox#1=\box\voidb@x\else\setbox#1=#2\def#2{\xleaders\box#% +1}\fi}\CD@ZA\CD@BK{\string\HorizontalMap, \string\VerticalMap\space and +\string\DiagonalMap\CD@uG are obsolete - use \CD@lG\space to pre-define maps}% +\def\HorizontalMap#1#2#3#4#5{\CD@BK\CD@nB{old horizontal map}\CD@LC\CD@TJ\def +\CD@oJ{\CD@UH{#1}}\CD@SH\CD@iD{#2}\def\CD@QG{\CD@UH{#3}}\CD@SH\CD@jD{#4}\def +\CD@LE{\CD@UH{#5}}\CD@tD}\def\VerticalMap#1#2#3#4#5{\CD@BK\CD@pB433{vertical +map}\CD@cD\CD@LC\CD@GB-9995 \let\CD@kD\@fillv\def\CD@oJ{\CD@GG{#1}}\CD@VH +\CD@iD{#2}\def\CD@QG{\CD@GG{#3}}\CD@VH\CD@jD{#4}\def\CD@LE{\CD@GG{#5}}\CD@tD}% +\def\DiagonalMap#1#2#3#4#5{\CD@BK\CD@LC\def\CD@OG{4}\let\CD@kD\CD@qK\let +\CD@ZD\CD@YD\def\CD@WK{2}\def\CD@aK{2}\def\CD@ZK{1}\def\CD@bK{1}\def\CD@QG{% +\CD@vF{#3}}\ifPositiveGradient\let\mv\raise\def\CD@oJ{\CD@vF{#5}}\def\CD@iD{% +\CD@vF{#4}}\def\CD@jD{\CD@vF{#2}}\def\CD@LE{\CD@vF{#1}}\else\let\mv\lower\def +\CD@oJ{\CD@vF{#1}}\def\CD@iD{\CD@vF{#2}}\def\CD@jD{\CD@vF{#4}}\def\CD@LE{% +\CD@vF{#5}}\fi\CD@tD}\def\CD@aE{-}\def\CD@AD{\empty}\def\CD@SH{\CD@EG\CD@bE +\CD@aE\@fillh}\def\CD@VH{\CD@EG\CD@MK\CD@KK\@fillv}\def\CD@EG#1#2#3#4#5{\def +\CD@CH{#5}\ifx\CD@CH#2\let#4#3\else\let#4\null\ifx\CD@CH\empty\else\ifx\CD@CH +\CD@AD\else\let#4\CD@CH\fi\fi\fi}\def\CD@UH#1{\hbox{\mathsurround\z@ +\offinterlineskip\def\CD@CH{#1}\ifx\CD@CH\empty\else\ifx\CD@CH\CD@AD\else +\CD@k\mkern-1.5mu{\CD@CH}\mkern-1.5mu\CD@ND\fi\fi}}\def\CD@yD#1#2{\setbox#1=% +\hbox\bgroup\setbox0=\hbox{\CD@k\labelstyle()\CD@ND}%% ASCII round brackets +\setbox1=\null\ht1\ht0\dp1\dp0\box1 \kern.1\CD@zC\CD@k\bgroup\labelstyle +\aftergroup\CD@LD\CD@xD}\def\CD@LD{\CD@ND\kern.1\CD@zC\egroup\CD@tD}\def +\CD@xD{\futurelet\CD@EH\CD@mJ}\def\CD@mJ{%% qualifiers on label arguments +\catcase\bgroup:\CD@v;\catcase\egroup:\missing@label;\catcase\space:\CD@TF;% +\tokcase[:\CD@XF;%%]%ascii close square bracket +\default:\CD@zJ;\endswitch}\def\CD@v{\let\CD@MD\CD@c\let\CD@CH}\def\CD@zJ#1{% +\let\CD@UF\egroup{\let\actually@braces@missing@around@macro@in@label\CD@ZH +\let\CD@MD\CD@xC\let\CD@UF\CD@VF#1% +\actually@braces@missing@around@macro@in@label}\CD@UF}\def +\actually@braces@missing@around@macro@in@label{\let\CD@CH=}\def\missing@label +{\egroup\CD@YA{missing label}\CD@PE}\def\CD@xC{\egroup\missing@label}\outer +\def\CD@ZH{}\def\CD@UF{}\def\CD@VF{\CD@wC\CD@UF}\def\CD@MD{}\def\CD@XF{\let +\CD@N\CD@xD\get@square@arg\CD@AE}\CD@rG\CD@PE{The text which has just been +read is not allowed within map labels.}\def\CD@c{\egroup\CD@YA{missing \CD@yC +\space inserted after label}\CD@PE}\def\upper@label{\CD@oD\CD@yD6}\def +\lower@label{\def\positional@{\CD@@A\break@args}\CD@yD7}\def\middle@label{% +\CD@yD3}\CD@tG\CD@yE\CD@pD\CD@oD\def\CD@iF{\ifPositiveGradient\CD@tJ +\expandafter\upper@label\else\expandafter\lower@label\fi}\def\CD@iI{% +\ifPositiveGradient\CD@tJ\expandafter\lower@label\else\expandafter +\upper@label\fi}\def\positional@{\CD@gB{labels as positional arguments are +obsolete}\CD@yE\CD@tJ\expandafter\upper@label\else\expandafter\lower@label\fi +-}\def\CD@tD{\futurelet\CD@EH\switch@arg}\def\eat@space{\afterassignment +\CD@tD\let\CD@EH= }\def\CD@TF{\afterassignment\CD@xD\let\CD@EH= }\def\CD@BC{% +\get@round@pair\CD@uD}\def\CD@uD#1#2{\def\CD@WK{#1}\def\CD@aK{#2}\CD@tD}\def +\optional@{\let\CD@N\CD@tD\get@square@arg\CD@AE}\def\CD@JJ.{\CD@sC\CD@tD}\def +\CD@sC{\let\CD@iD\fill@dot\let\CD@jD\fill@dot\def\CD@MI{\let\CD@iD\dfdot\let +\CD@jD\dfdot}}\def\CD@MI{}\def\CD@@E#1,{\CD@nH#1,\begingroup\ifx\@name\CD@RD +\CD@FF\aftergroup\CD@e\fi\aftergroup\CD@jC\else\expandafter\def\expandafter +\CD@RF\expandafter{\csname\@name\endcsname}\expandafter\CD@vD\CD@RF\CD@KD\ifx +\CD@RF\empty\aftergroup\CD@pC\expandafter\aftergroup\csname\CD@FB\@name +\endcsname\expandafter\aftergroup\csname\CD@FB @\@name\endcsname\else\gdef +\CD@GE{#1}\CD@gB{\string\relax\space inserted before `[\CD@GE'}\message{(I was +trying to read this as a \CD@tA\ option.)}\aftergroup\CD@H\fi\fi\endgroup}% +\def\CD@vD#1#2\CD@KD{\def\CD@RF{#2}}\def\CD@jC{\let\CD@CH\CD@N\let\CD@N\relax +\CD@CH}\def\CD@H#1],{%% ASCII close square bracket +\CD@jC\relax\def\CD@RF{#1}\ifx\CD@RF\empty\def\CD@RF{[\CD@GE]}% +%% ASCII open and close square bracket +\else\def\CD@RF{[\CD@GE,#1]}%% ASCII open and close square bracket +\fi\CD@RF}\def\CD@pC#1#2{\ifx#2\CD@qK\ifx#1\CD@qK\CD@gB{option `\@name' +undefined}\else#1\fi\else\CD@FF\expandafter#2\CD@GK\CD@PK\else\CD@QK\fi\fi +\CD@DH}\CD@tG\CD@FF\CD@QK\CD@PK\def\CD@nH#1,{\CD@FF\ifx\CD@GK\CD@qK\CD@e\else +\expandafter\CD@oH\CD@GK,#1,(,),(,)[]% +%%ASCII 5commas two pairs round, pair square +\fi\fi\CD@FF\else\CD@mH#1==,\fi}\def\CD@e{\CD@gB{option `\@name' needs (x,y) +value}\CD@PK\let\@name\empty}\def\CD@mH#1=#2=#3,{\def\@name{#1}\def\CD@GK{#2}% +\def\CD@RF{#3}\ifx\CD@RF\empty\let\CD@GK\CD@qK\fi}% +%% ASCII 2commas 2pair round, pair square on next line +\def\CD@oH#1(#2,#3)#4,(#5,#6)#7[]{\def\CD@GK{{#2}{#3}}\def\CD@RF{#1#4#5#6}% +\ifx\CD@RF\empty\def\CD@RF{#7}\ifx\CD@RF\empty\CD@e\fi\else\CD@e\fi}\def +\CD@FB{cds@}\let\CD@N\relax\def\CD@zD#1{\ifx\CD@GK\CD@qK\CD@gB{option `\@name +' needs a value}\else#1\CD@GK\relax\fi}\def\CD@BE#1#2{\ifx\CD@GK\CD@qK#1#2% +\relax\else#1\CD@GK\relax\fi}\def\cds@@showpair#1#2{\message{x=#1,y=#2}}\def +\cds@@diagonalbase#1#2{\edef\CD@ZK{#1}\edef\CD@bK{#2}}\def\CD@DI#1{\def\CD@CH +{#1}\CD@nF{@x}{cdps@#1}\ifx\CD@CH\empty\CD@f\CD@CH{cannot be used}\else\ifx +\CD@CH\relax\CD@f\CD@CH{unknown}\else\let\CD@IK\@x\fi\fi}\def\CD@f#1#2{\CD@gB +{PostScript translator `#1' #2}\CD@oK\let\cds@PS\empty\let\cds@noPS\empty}% +\def\CD@PH{}\def\CD@PJ{\CD@fA\edef\CD@PH{\noexpand\CD@KB{\@name\space ignored +within maths}}}\def\diagramstyle{\CD@cJ\let\CD@N\relax\CD@CF\CD@AE\CD@AE}\let +\diagramsstyle\diagramstyle\CD@tG\CD@sE\CD@SB\CD@RB\CD@tG\CD@qE\CD@EB\CD@DB +\CD@tG\CD@oE\CD@pA\CD@oA\CD@tG\CD@iE\CD@HA\CD@GA\CD@HA\CD@tG\CD@jE\CD@JA +\CD@IA\CD@tG\CD@kE\CD@LA\CD@KA\CD@tG\CD@EF\CD@DK\CD@CK\CD@tG\CD@rE\CD@JB +\CD@IB\CD@tG\CD@mE\CD@gA\CD@fA\CD@tG\CD@nE\CD@kA\CD@jA\CD@tG\CD@AF\CD@iG +\CD@hG\CD@RC{cds@ }{}\CD@RC{cds@}{}\CD@RC{cds@1em}{\CellSize1\CD@zC}\CD@RC{% +cds@1.5em}{\CellSize1.5\CD@zC}\CD@RC{cds@2em}{\CellSize2\CD@zC}\CD@RC{cds@2.5% +em}{\CellSize2.5\CD@zC}\CD@RC{cds@3em}{\CellSize3\CD@zC}\CD@RC{cds@3.5em}{% +\CellSize3.5\CD@zC}\CD@RC{cds@4em}{\CellSize4\CD@zC}\CD@RC{cds@4.5em}{% +\CellSize4.5\CD@zC}\CD@RC{cds@5em}{\CellSize5\CD@zC}\CD@RC{cds@6em}{\CellSize +6\CD@zC}\CD@RC{cds@7em}{\CellSize7\CD@zC}\CD@RC{cds@8em}{\CellSize8\CD@zC}% +\def\cds@abut{\MapsAbut\dimen1\z@\dimen5\z@}\def\cds@alignlabels{\CD@IA\CD@KA +}\def\cds@amstex{\ifincommdiag\CD@O\else\def\CD{\diagram[amstex]}% +%%ascii square brackets [] +\fi\CD@T\catcode\lq\@\active}\def\cds@b{\let\CD@dB\CD@bB}\def\cds@balance{% +\let\CD@hA\CD@AA}\let\cds@bottom\cds@b\def\cds@center{\cds@vcentre +\cds@nobalance}\let\cds@centre\cds@center\def\cds@centerdisplay{\CD@HA\CD@PJ +\cds@balance}\let\cds@centredisplay\cds@centerdisplay\def\cds@crab{\CD@BE +\CD@DC{.5\PileSpacing}}\CD@RC{cds@crab-}{\CD@DC-.5\PileSpacing}\CD@RC{% +cds@crab+}{\CD@DC.5\PileSpacing}\CD@RC{cds@crab++}{\CD@DC1.5\PileSpacing}% +\CD@RC{cds@crab--}{\CD@DC-1.5\PileSpacing}\def\cds@defaultsize{\CD@BE{\let +\CD@QC}{3em}\CD@NJ}\def\cds@displayoneliner{\CD@DB}\let\cds@dotted\CD@sC\def +\cds@dpi{\CD@RJ{1truein}}\def\cds@dpm{\CD@RJ{100truecm}}\let\CD@XA\CD@qK\def +\cds@eqno{\let\CD@XA\CD@GK\let\CD@EJ\empty}\def\cds@fixed{\CD@qA}\CD@tG\CD@fE +\CD@J\CD@I\def\cds@flushleft{\CD@I\CD@GA\CD@PJ\cds@nobalance\CD@BE\CD@nA +\CD@nA}\def\cds@gap{\CD@AJ\setbox3=\null\ht3=\CD@tI\dp3=\CD@sI\CD@BE{\wd3=}% +\MapShortFall} \def\cds@grid{\ifx\CD@GK\CD@qK\let\h@grid\relax\let\v@grid +\relax\else\CD@nF{h@grid}{cdgh@\CD@GK}\CD@nF{v@grid}{cdgv@\CD@GK}\ifx\h@grid +\relax\CD@gB{unknown grid `\CD@GK'}\else\CD@WB\fi\fi}\let\h@grid\relax\let +\v@grid\relax\def\cds@gridx{\ifx\CD@GK\CD@qK\else\cds@grid\fi\let\CD@CH +\h@grid\let\h@grid\v@grid\let\v@grid\CD@CH}\def\cds@h{\CD@zD +\DiagramCellHeight}\def\cds@hcenter{\let\CD@hA\CD@aA}\let\cds@hcentre +\cds@hcenter\def\cds@heads{\CD@BE{\let\CD@sJ}\CD@sJ\CD@@J\CD@vE\else\ifx +\CD@sJ\CD@eF\else\CD@MC\fi\fi}\let\cds@height\cds@h\let\cds@hmiddle +\cds@balance\def\cds@htriangleheight{\CD@BE\DiagramCellHeight +\DiagramCellHeight\DiagramCellWidth1.73205\DiagramCellHeight}\def +\cds@htrianglewidth{\CD@BE\DiagramCellWidth\DiagramCellWidth +\DiagramCellHeight.57735\DiagramCellWidth}\CD@tG\CD@zE\CD@eE\CD@dE\CD@eE\def +\cds@hug{\CD@eE} \def\cds@inline{\CD@gA\let\CD@PH\empty}\def +\cds@inlineoneliner{\CD@EB}\CD@RC{cds@l>}{\CD@zD{\let\CD@RG}\dimen2=\CD@RG}% +\def\cds@labelstyle{\CD@zD{\let\labelstyle}}\def\cds@landscape{\CD@kA}\def +\cds@large{\CellSize5\CD@zC}\let\CD@EJ\empty\def\CD@FJ{\refstepcounter{% +equation}\def\CD@XA{\hbox{\@eqnnum}}}\def\cds@LaTeXeqno{\let\CD@EJ\CD@FJ}\def +\cds@lefteqno{\CD@pA}\def\cds@leftflush{\cds@flushleft\CD@J}\def +\cds@leftshortfall{\CD@zD{\dimen1 }}\def\cds@lowershortfall{% +\ifPositiveGradient\cds@leftshortfall\else\cds@rightshortfall\fi}\def +\cds@loose{\CD@VB}\def\cds@midhshaft{\CD@JA}\def\cds@midshaft{\CD@JA}\def +\cds@midvshaft{\CD@LA}\def\cds@moreoptions{\CD@@A}\let\cds@nobalance +\cds@hcenter\def\cds@nohcheck{\CD@HH}\def\cds@nohug{\CD@dE} \def +\cds@nooptions{\def\CD@aC{\CD@WD}}\let\cds@noorigin\cds@nobalance\def +\cds@nopixel{\CD@@I4\CD@XH\CD@cJ}\def\cds@UO{\CD@oK\global\let\CD@n\empty}% +\def\cds@UglyObsolete{\cds@UO\let\cds@PS\empty\let\cds@noPS\empty}\ifnum\year +<2008 \let\cds@noPostScript\UglyObsolete\let\cds@noPS\cds@UO\else\def +\cds@noPS{\CD@gB{option `noPS' no longer recognised}}\def\cds@noPS{\CD@gB{% +option `noPostScript' no longer recognised}}\fi\def\cds@notextflow{\CD@RB}% +\def\cds@noPS{\CD@oK\global\let\CD@n\empty}\def\cds@noTPIC{\CD@CK}\def +\cds@objectstyle{\CD@zD{\let\objectstyle}}\def\cds@origin{\let\CD@hA\CD@iB}% +\def\cds@p{\CD@zD\PileSpacing}\let\cds@pilespacing\cds@p\def\cds@pixelsize{% +\CD@zD\CD@@I\CD@gI}\def\cds@portrait{\CD@jA}\def\cds@PostScript{\CD@nK\global +\let\CD@n\empty\CD@BE\CD@DI\empty}\def\cds@PS{\CD@nK\global\let\CD@n\empty}% +\CD@GF\CD@n{\typeout{\CD@tA: try the PostScript option for better results}}% +\def\cds@repositionpullbacks{\let\make@pbk\CD@fH\let\CD@qH\CD@pH}\def +\cds@righteqno{\CD@oA}\def\cds@rightshortfall{\CD@zD{\dimen5 }}\def +\cds@ruleaxis{\CD@zD{\let\axisheight}}\def\cds@cmex{\let\CD@GG\CD@sB\let +\CD@QJ\CD@CJ}\def\cds@s{\cds@height\DiagramCellWidth\DiagramCellHeight}\def +\cds@scriptlabels{\let\labelstyle\scriptstyle}\def\cds@shortfall{\CD@zD +\MapShortFall\dimen1\MapShortFall\dimen5\MapShortFall}\def\cds@showfirstpass{% +\CD@BE{\let\CD@nD}\z@}\def\cds@silent{\def\CD@KB##1{}\def\CD@gB##1{}}\let +\cds@size\cds@s\def\cds@small{\CellSize2\CD@zC}\def\cds@snake{\CD@BE\CD@eJ\z@ +}\def\cds@t{\let\CD@dB\CD@fB}\def\cds@textflow{\CD@SB\CD@PJ}\def\cds@thick{% +\let\CD@rF\tenlnw\CD@LF\CD@NC\CD@BE\MapBreadth{2\CD@LF}\CD@@J}\def\cds@thin{% +\let\CD@rF\tenln\CD@BE\MapBreadth{\CD@NC}\CD@@J}\def\cds@tight{\CD@WB}\let +\cds@top\cds@t\def\cds@TPIC{\CD@DK}\def\cds@uppershortfall{% +\ifPositiveGradient\cds@rightshortfall\else\cds@leftshortfall\fi}\def +\cds@vcenter{\let\CD@dB\CD@cB}\let\cds@vcentre\cds@vcenter\def +\cds@vtriangleheight{\CD@BE\DiagramCellHeight\DiagramCellHeight +\DiagramCellWidth.577035\DiagramCellHeight}\def\cds@vtrianglewidth{\CD@BE +\DiagramCellWidth\DiagramCellWidth\DiagramCellHeight1.73205\DiagramCellWidth}% +\def\cds@vmiddle{\let\CD@dB\CD@eB}\def\cds@w{\CD@zD\DiagramCellWidth}\let +\cds@width\cds@w\def\diagram{\relax\protect\CD@bC}\def\enddiagram{\protect +\CD@SG}\def\CD@bC{\CD@g\CD@uI\incommdiagtrue\edef\CD@wI{\the\CD@NB}\global +\CD@NB\z@\boxmaxdepth\maxdimen\everycr{}\everymath{}\everyhbox{}\ifx +\pdfoutput\CD@qK\else\ifx\pdfoutput\relax\else\ifnum\pdfoutput>\z@\CD@pK\fi +\fi\fi\CD@aC}\def\CD@aC{\CD@y\let\CD@N\CD@ZC\CD@CF\CD@AE\CD@WD}\def\CD@ZC{% +\CD@gE\expandafter\CD@aC\else\expandafter\CD@WD\fi}\def\CD@WD{\let\CD@EH +\relax\CD@nE\CD@vE\else\CD@hK\else\CD@KB{landscape ignored without PostScript% +}\CD@jA\fi\fi\fi\CD@EJ\setbox2=\vbox\bgroup\CD@JF\CD@VD}\def\CD@cH{\CD@nE +\CD@fB\else\CD@dB\fi\CD@hA\nointerlineskip\setbox0=\null\ht0-\CD@pI\dp0\CD@pI +\wd0\CD@kI\box0 \global\CD@QA\CD@kF\global\CD@yA\CD@XB\ifx\CD@NK\CD@qK\global +\CD@RA\CD@kF\else\global\CD@RA\CD@NK\fi\egroup\CD@zF\CD@nE\setbox2=\hbox to% +\dp2{\vrule height\wd2 depth\CD@QA width\z@\global\CD@QA\ht2\ht2\z@\dp2\z@\wd +2\z@\CD@hK\pdfliteral{q 0 1 -1 0 0 0 cm}\else\global\CD@iG\CD@IK{0 1 bturn}% +\fi\box2\CD@gK\hss}\CD@DB\fi\ifnum\CD@yA=1 \else\CD@DB\fi\global\@ignorefalse +\CD@mE\leavevmode\fi\ifvmode\CD@TA\else\ifmmode\CD@PH\CD@GI\else\CD@qE\CD@gA +\fi\ifinner\CD@gA\fi\CD@mE\CD@GI\else\CD@sE\CD@QB\else\CD@TA\fi\fi\fi\fi +\CD@dD}\def\CD@dD{\global\CD@NB\CD@wI\relax\CD@xE\global\CD@ID\else +\aftergroup\CD@mC\fi\if@ignore\aftergroup\ignorespaces\fi\CD@wC\ignorespaces}% +\def\CD@fB{\advance\CD@pI\dimen1\relax}\def\CD@eB{\advance\CD@pI.5\dimen1% +\relax}\def\CD@bB{}\def\CD@cB{\CD@fB\advance\CD@pI\CD@YB\divide\CD@pI2 +\advance\CD@pI-\axisheight\relax}\def\CD@aA{}\def\CD@iB{\CD@kF\z@}\def\CD@AA{% +\ifdim\dimen2>\CD@kF\CD@kF\dimen2 \else\dimen2\CD@kF\CD@kI\dimen0 \advance +\CD@kI\dimen2 \fi}\def\CD@QB{\skip0\z@\relax\loop\skip1\lastskip\ifdim\skip1>% +\z@\unskip\advance\skip0\skip1 \repeat\vadjust{\prevdepth\dp\strutbox\penalty +\predisplaypenalty\vskip\abovedisplayskip\CD@UA\penalty\postdisplaypenalty +\vskip\belowdisplayskip}\ifdim\skip0=\z@\else\hskip\skip0 \global\@ignoretrue +\fi}\def\CD@TA{\CD@LG\kern-\displayindent\CD@UA\CD@LG\global\@ignoretrue}\def +\CD@UA{\hbox to\hsize{\CD@fE\ifdim\CD@RA=\z@\else\advance\CD@QA-\CD@RA\setbox +2=\hbox{\kern\CD@RA\box2}\fi\fi\setbox1=\hbox{\ifx\CD@XA\CD@qK\else\CD@k +\CD@XA\CD@ND\fi}\CD@oE\CD@iE\else\advance\CD@QA\wd1 \fi\wd1\z@\box1 \fi\dimen +0\wd2 \advance\dimen0\wd1 \advance\dimen0-\hsize\ifdim\dimen0>-\CD@nA\CD@HA +\fi\advance\dimen0\CD@QA\ifdim\dimen0>\z@\CD@KB{wider than the page by \the +\dimen0 }\CD@HA\fi\CD@iE\hss\else\CD@V\CD@QA\CD@nA\fi\CD@GI\hss\kern-\wd1\box +1 }}\def\CD@GI{\CD@AF\CD@@F\else\CD@SC\global\CD@hG\fi\fi\kern\CD@QA\box2 }% +\CD@tG\CD@wE\CD@YC\CD@XC\def\CD@JF{\CD@cJ\ifdim\DiagramCellHeight=-\maxdimen +\DiagramCellHeight\CD@QC\fi\ifdim\DiagramCellWidth=-\maxdimen +\DiagramCellWidth\CD@QC\fi\global\CD@XC\CD@IF\let\CD@FE\empty\let\CD@z\CD@Q +\let\overprint\CD@eH\let\CD@s\CD@rJ\let\enddiagram\CD@ED\let\\\CD@cC\let\par +\CD@jH\let\CD@MD\empty\let\switch@arg\CD@PB\let\shift\CD@iA\baselineskip +\DiagramCellHeight\lineskip\z@\lineskiplimit\z@\mathsurround\z@\tabskip\z@ +\CD@OB}\def\CD@VD{\penalty-123 \begingroup\CD@jA\aftergroup\CD@K\halign +\bgroup\global\advance\CD@NB1 \vadjust{\penalty1}\global\CD@FA\z@\CD@OB\CD@j#% +#\CD@DD\CD@Q\CD@Q\CD@OI\CD@j##\CD@DD\cr}\def\CD@ED{\CD@MD\CD@GD\crcr\egroup +\global\CD@JD\endgroup}\def\CD@j{\global\advance\CD@FA1 \futurelet\CD@EH\CD@i +}\def\CD@i{\ifx\CD@EH\CD@DD\CD@tJ\hskip1sp plus 1fil \relax\let\CD@DD\relax +\CD@vI\else\hfil\CD@k\objectstyle\let\CD@FE\CD@d\fi}\def\CD@DD{\CD@MD\relax +\CD@yI\CD@vI\global\CD@QA\CD@iA\penalty-9993 \CD@ND\hfil\null\kern-2\CD@QA +\null}\def\CD@cC{\cr}\def\across#1{\span\omit\mscount=#1 \global\advance +\CD@FA\mscount\global\advance\CD@FA\m@ne\CD@sF\ifnum\mscount>2 \CD@fJ\repeat +\ignorespaces}\def\CD@fJ{\relax\span\omit\advance\mscount\m@ne}\def\CD@qJ{% +\ifincommdiag\ifx\CD@iD\@fillh\ifx\CD@jD\@fillh\ifdim\dimen3>\z@\else\ifdim +\dimen2>93\CD@@I\ifdim\dimen2>18\p@\ifdim\CD@LF>\z@\count@\CD@bJ\advance +\count@\m@ne\ifnum\count@<\z@\count@20\let\CD@aJ\CD@uJ\fi\xdef\CD@bJ{\the +\count@}\fi\fi\fi\fi\fi\fi\fi}\def\CD@cG#1{\vrule\horizhtdp width#1\dimen@ +\kern2\dimen@}\def\CD@uJ{\rlap{\dimen@\CD@@I\CD@V\dimen@{.182\p@}\CD@zH +\dimen@\advance\CD@tI\dimen@\CD@cG0\CD@cG0\CD@cG2\CD@cG6\CD@cG6\CD@cG2\CD@cG0% +\CD@cG0\CD@cG2\CD@cG6\CD@cG0\CD@cG0\CD@cG2\CD@cG2\CD@cG6\CD@cG0\CD@cG0\CD@cG2% +\CD@cG6\CD@cG2\CD@cG2\CD@cG0\CD@cG0}}\def\CD@bJ{10}\def\CD@aJ{}\def\CD@XD{% +\CD@gE\CD@TB\fi\CD@x\CD@WF\CD@HI}\def\CD@x{\CD@QJ\CD@DC\CD@MJ\ifdim\CD@DC=\z@ +\else\CD@pF\CD@DC\fi\ifvoid3 \setbox3=\null\ht3\CD@tI\dp3\CD@sI\else\CD@V{\ht +3}\CD@tI\CD@V{\dp3}\CD@sI\fi\dimen3=.5\wd3 \ifdim\dimen3=\z@\CD@tE\else\dimen +3-\CD@XH\fi\else\CD@TB\fi\CD@V{\dimen2}{\wd7}\CD@V{\dimen2}{\wd6}\CD@qJ +\advance\dimen2-2\dimen3 \dimen4.5\dimen2 \dimen2\dimen4 \advance\dimen2% +\CD@eJ\advance\dimen4-\CD@eJ\advance\dimen2-\wd1 \advance\dimen4-\wd5 \ifvoid +2 \else\CD@V{\ht3}{\ht2}\CD@V{\dp3}{\dp2}\CD@V{\dimen2}{\wd2}\fi\ifvoid4 \else +\CD@V{\ht3}{\ht4}\CD@V{\dp3}{\dp4}\CD@V{\dimen4}{\wd4}\fi\advance\skip2\dimen +2 \advance\skip4\dimen4 \CD@tE\advance\skip2\skip4 \dimen0\dimen5 \advance +\dimen0\wd5 \skip3-\skip4 \advance\skip3-\dimen0 \let\CD@jD\empty\else\skip3% +\z@\relax\dimen0\z@\fi}\def\CD@WF{\offinterlineskip\lineskip.2\CD@zC\ifvoid6 +\else\setbox3=\vbox{\hbox to2\dimen3{\hss\box6\hss}\box3}\fi\ifvoid7 \else +\setbox3=\vtop{\box3 \hbox to2\dimen3{\hss\box7\hss}}\fi}\def\CD@HI{\kern +\dimen1 \box1 \CD@aJ\CD@iD\hskip\skip2 \kern\dimen0 \ifincommdiag\CD@jE +\penalty1\fi\kern\dimen3 \penalty\CD@GB\hskip\skip3 \null\kern-\dimen3 \else +\hskip\skip3 \fi\box3 \CD@jD\hskip\skip4 \box5 \kern\dimen5}\def\CD@MF{\ifnum +\CD@LH>\CD@TC\CD@V{\dimen1}\objectheight\CD@V{\dimen5}\objectheight\else\CD@V +{\dimen1}\objectwidth\CD@V{\dimen5}\objectwidth\fi}\def\CD@Y{\begingroup +\ifdim\dimen7=\z@\kern\dimen8 \else\ifdim\dimen6=\z@\kern\dimen9 \else\dimen5% +\dimen6 \dimen6\dimen9 \CD@KJ\dimen4\dimen2 \CD@dG{\dimen4}\dimen6\dimen5 +\dimen7\dimen8 \CD@KJ\CD@iC{\dimen2}\ifdim\dimen2<\dimen4 \kern\dimen2 \else +\kern\dimen4 \fi\fi\fi\endgroup}\def\CD@jJ{\CD@JI\setbox\z@\hbox{\lower +\axisheight\hbox to\dimen2{\CD@DF\ifPositiveGradient\dimen8\ht\CD@MH\dimen9% +\CD@mI\else\dimen8\dp3 \dimen9\dimen1 \fi\else\dimen8 \ifPositiveGradient +\objectheight\else\z@\fi\dimen9\objectwidth\fi\advance\dimen8 +\ifPositiveGradient-\fi\axisheight\CD@Y\unhbox\z@\CD@DF\ifPositiveGradient +\dimen8\dp3 \dimen9\dimen0 \else\dimen8\ht\CD@MH\dimen9\CD@mF\fi\else\dimen8 +\ifPositiveGradient\z@\else\objectheight\fi\dimen9\objectwidth\fi\advance +\dimen8 \ifPositiveGradient\else-\fi\axisheight\CD@Y}}}\def\CD@bD{\dimen6 +\CD@aK\DiagramCellHeight\dimen7 \CD@WK\DiagramCellWidth\CD@jJ +\ifPositiveGradient\advance\dimen7-\CD@ZK\DiagramCellWidth\else\dimen7 \CD@ZK +\DiagramCellWidth\dimen6\z@\fi\advance\dimen6-\CD@bK\DiagramCellHeight\CD@mK +\setbox0=\rlap{\kern-\dimen7 \lower\dimen6\box\z@}\ht0\z@\dp0\z@\raise +\axisheight\box0 }\def\CD@mK{\setbox0\hbox{\ht\z@\z@\dp\z@\z@\wd\z@\z@\CD@hK +\expandafter\pdfliteral{q \CD@eK\space\CD@lK\space\CD@kK\space\CD@eK\space0 0 +cm}\else\global\CD@iG\CD@eD{\the\CD@TC\space\ifPositiveGradient\else-\fi\the +\CD@LH\space bturn}\fi\box\z@\CD@gK}}\def\CD@vB{\advance\CD@hF-\CD@mI\CD@wJ +\CD@hF\advance\CD@wJ\CD@hI\ifvoid\CD@sH\ifdim\CD@wJ<.1em\ifnum\CD@gD=\@m\else +\CD@aG h\CD@wJ<.1em:objects overprint:\CD@FA\CD@gD\fi\fi\else\ifhbox\CD@sH +\CD@SK\else\CD@TK\fi\advance\CD@wJ\CD@mI\CD@bH{-\CD@mI}{\box\CD@sH}{\CD@wJ}% +\z@\fi\CD@hF-\CD@mF\CD@gD\CD@FA\CD@hI\z@}\def\CD@SK{\setbox\CD@sH=\hbox{% +\unhbox\CD@sH\unskip\unpenalty}\setbox\CD@tH=\hbox{\unhbox\CD@tH\unskip +\unpenalty}\setbox\CD@sH=\hbox to\CD@wJ{\CD@OA\wd\CD@sH\unhbox\CD@sH\CD@PA +\lastkern\unkern\ifdim\CD@PA=\z@\CD@UB\advance\CD@OA-\wd\CD@tH\else\CD@TB\fi +\ifnum\lastpenalty=\z@\else\CD@JA\unpenalty\fi\kern\CD@PA\ifdim\CD@hF<\CD@OA +\CD@JA\fi\ifdim\CD@hI<\wd\CD@tH\CD@JA\fi\CD@jE\CD@hI\CD@wJ\advance\CD@hI-% +\CD@OA\advance\CD@hI\wd\CD@tH\ifdim\CD@hI<2\wd\CD@tH\CD@aG h\CD@hI<2\wd\CD@tH +:arrow too short:\CD@FA\CD@gD\fi\divide\CD@hI\tw@\CD@hF\CD@wJ\advance\CD@hF-% +\CD@hI\fi\CD@tE\kern-\CD@hI\fi\hbox to\CD@hI{\unhbox\CD@tH}\CD@HG}}\CD@tG +\ifinpile\inpiletrue\inpilefalse\inpilefalse\def\pile{\protect\CD@UJ\protect +\CD@uH}\def\CD@uH#1{\CD@l#1\CD@QD}\def\CD@UJ{\CD@nB{pile}\setbox0=\vtop +\bgroup\aftergroup\CD@lD\inpiletrue\let\CD@FE\empty\let\pile\CD@KF\let\CD@QD +\CD@PD\let\CD@GD\CD@FD\CD@yH\baselineskip.5\PileSpacing\lineskip.1\CD@zC +\relax\lineskiplimit\lineskip\mathsurround\z@\tabskip\z@\let\\\CD@wH}\def +\CD@l{\CD@DE\CD@YF\empty\halign\bgroup\hfil\CD@k\let\CD@FE\CD@d\let\\\CD@vH##% +\CD@MD\CD@ND\hfil\CD@Q\CD@R##\cr}\CD@rG\CD@NE{pile only allows one column.}% +\CD@rG\CD@UE{you left it out!}\def\CD@R{\CD@QD\CD@Q\relax\CD@YA{missing \CD@yC +\space inserted after \string\pile}\CD@NE}\def\CD@PD{\CD@MD\crcr\egroup +\egroup}\def\CD@GD{\CD@MD}\def\CD@FD{\CD@MD\relax\CD@QD\CD@YA{missing \CD@yC +\space inserted between \string\pile\space and \CD@HD}\CD@UE}\def\CD@QD{% +\CD@MD}\def\CD@lD{\vbox{\dimen1\dp0 \unvbox0 \setbox0=\lastbox\advance\dimen1% +\dp0 \nointerlineskip\box0 \nointerlineskip\setbox0=\null\dp0.5\dimen1\ht0-% +\dp0 \box0}\ifincommdiag\CD@tJ\penalty-9998 \fi\xdef\CD@YF{pile}}\def\CD@vH{% +\cr}\def\CD@wH{\noalign{\skip@\prevdepth\advance\skip@-\baselineskip +\prevdepth\skip@}}\def\CD@KF#1{#1}\def\CD@TK{\setbox\CD@sH=\vbox{\unvbox +\CD@sH\setbox1=\lastbox\setbox0=\box\voidb@x\CD@tF\setbox\CD@sH=\lastbox +\ifhbox\CD@sH\CD@rC\repeat\unvbox0 \global\CD@QA\CD@ZE}\CD@ZE\CD@QA}\def +\CD@rC{\CD@jE\setbox\CD@sH=\hbox{\unhbox\CD@sH\unskip\setbox\CD@sH=\lastbox +\unskip\unhbox\CD@sH}\ifdim\CD@wJ<\wd\CD@sH\CD@aG h\CD@wJ<\wd\CD@sH:arrow in +pile too short:\CD@FA\CD@gD\else\setbox\CD@sH=\hbox to\CD@wJ{\unhbox\CD@sH}% +\fi\else\CD@gJ\fi\setbox0=\vbox{\box\CD@sH\nointerlineskip\ifvoid0 \CD@tJ\box +1 \else\vskip\skip0 \unvbox0 \fi}\skip0=\lastskip\unskip}\def\CD@gJ{\penalty7 +\noindent\unhbox\CD@sH\unskip\setbox\CD@sH=\lastbox\unskip\unhbox\CD@sH +\endgraf\setbox\CD@tH=\lastbox\unskip\setbox\CD@tH=\hbox{\CD@JG\unhbox\CD@tH +\unskip\unskip\unpenalty}\ifcase\prevgraf\cd@shouldnt P\or\ifdim\CD@wJ<\wd +\CD@tH\CD@aG h\CD@wJ<\wd\CD@sH:object in pile too wide:\CD@FA\CD@gD\setbox +\CD@sH=\hbox to\CD@wJ{\hss\unhbox\CD@tH\hss}\else\setbox\CD@sH=\hbox to\CD@wJ +{\hss\kern\CD@hF\unhbox\CD@tH\kern\CD@hI\hss}\fi\or\setbox\CD@sH=\lastbox +\unskip\CD@SK\else\cd@shouldnt Q\fi\unskip\unpenalty}\def\CD@cD{\CD@MJ\ifvoid +3 \setbox3=\null\ht3\axisheight\dp3-\ht3 \dimen3.5\CD@LF\else\dimen4\dp3 +\dimen3.5\wd3 \setbox3=\CD@GG{\box3}\dp3\dimen4 \ifdim\ht3=-\dp3 \else\CD@TB +\fi\fi\dimen0\dimen3 \advance\dimen0-.5\CD@LF\setbox0\null\ht0\ht3\dp0\dp3\wd +0\wd3 \ifvoid6\else\setbox6\hbox{\unhbox6\kern\dimen0\kern2pt}\dimen0\wd6 \fi +\ifvoid7\else\setbox7\hbox{\kern2pt\kern\dimen3\unhbox7}\dimen3\wd7 \fi +\setbox3\hbox{\ifvoid6\else\kern-\dimen0\unhbox6\fi\unhbox3 \ifvoid7\else +\unhbox7\kern-\dimen3\fi}\ht3\ht0\dp3\dp0\wd3\wd0 \CD@tE\dimen4=\ht\CD@MH +\advance\dimen4\dp5 \advance\dimen4\dimen1 \let\CD@jD\empty\else\dimen4\ht3 +\fi\setbox0\null\ht0\dimen4 \offinterlineskip\setbox8=\vbox spread2ex{\kern +\dimen5 \box1 \CD@iD\vfill\CD@tE\else\kern\CD@eJ\fi\box0}\ht8=\z@\setbox9=% +\vtop spread2ex{\kern-\ht3 \kern-\CD@eJ\box3 \CD@jD\vfill\box5 \kern\dimen1}% +\dp9=\z@\hskip\dimen0plus.0001fil \box9 \kern-\CD@LF\box8 \CD@kE\penalty2 \fi +\CD@tE\penalty1 \fi\kern\PileSpacing\kern-\PileSpacing\kern-.5\CD@LF\penalty +\CD@GB\null\kern\dimen3}\def\CD@cI{\ifhbox\CD@VA\CD@KB{clashing verticals}\ht +\CD@MH.5\dp\CD@VA\dp\CD@MH-\ht5 \CD@yB\ht\CD@MH\z@\dp\CD@MH\z@\fi\dimen1\dp +\CD@VA\CD@xA\prevgraf\unvbox\CD@VA\CD@wA\lastpenalty\unpenalty\setbox\CD@VA=% +\null\setbox\CD@lI=\hbox{\CD@JG\unhbox\CD@lI\unskip\unpenalty\dimen0\lastkern +\unkern\unkern\unkern\kern\dimen0 \CD@HG}\setbox\CD@lF=\hbox{\unhbox\CD@lF +\dimen0\lastkern\unkern\unkern\global\CD@QA\lastkern\unkern\kern\dimen0 }% +\CD@tF\ifnum\CD@xA>4 \CD@zI\repeat\unskip\unskip\advance\CD@mF.5\wd\CD@VA +\advance\CD@mF\wd\CD@lF\advance\CD@mI.5\wd\CD@VA\advance\CD@mI\wd\CD@lI\ifnum +\CD@FA=\CD@lA\CD@OA.5\wd\CD@VA\edef\CD@NK{\the\CD@OA}\fi\setbox\CD@VA=\hbox{% +\kern-\CD@mF\box\CD@lF\unhbox\CD@VA\box\CD@lI\kern-\CD@mI\penalty\CD@wA +\penalty\CD@NB}\ht\CD@VA\dimen1 \dp\CD@VA\z@\wd\CD@VA\CD@tB\CD@vB}\def\CD@zI{% +\ifdim\wd\CD@lF<\CD@QA\setbox\CD@lF=\hbox to\CD@QA{\CD@JG\unhbox\CD@lF}\fi +\advance\CD@xA\m@ne\setbox\CD@VA=\hbox{\box\CD@lF\unhbox\CD@VA}\unskip\setbox +\CD@lF=\lastbox\setbox\CD@lF=\hbox{\unhbox\CD@lF\unskip\unpenalty\dimen0% +\lastkern\unkern\unkern\global\CD@QA\lastkern\unkern\kern\dimen0 }}\def\CD@yB +{\dimen1\dp\CD@VA\ifhbox\CD@VA\CD@xB\else\CD@zB\fi\setbox\CD@VA=\vbox{% +\penalty\CD@NB}\dp\CD@VA-\dp\CD@MH\wd\CD@VA\CD@tB}\def\CD@zB{\unvbox\CD@VA +\CD@wA\lastpenalty\unpenalty\ifdim\dimen1<\ht\CD@MH\CD@aG v\dimen1<\ht\CD@MH:% +rows overprint:\CD@NB\CD@wA\fi}\def\CD@xB{\dimen0=\ht\CD@VA\setbox\CD@VA=% +\hbox\bgroup\advance\dimen1-\ht\CD@MH\unhbox\CD@VA\CD@xA\lastpenalty +\unpenalty\CD@wA\lastpenalty\unpenalty\global\CD@RA-\lastkern\unkern\setbox0=% +\lastbox\CD@tF\setbox\CD@VA=\hbox{\box0\unhbox\CD@VA}\setbox0=\lastbox\ifhbox +0 \CD@kJ\repeat\global\CD@SA-\lastkern\unkern\global\CD@QA\CD@JK\unhbox\CD@VA +\egroup\CD@JK\CD@QA\CD@bH{\CD@SA}{\box\CD@VA}{\CD@RA}{\dimen1}}\def\CD@kJ{% +\setbox0=\hbox to\wd0\bgroup\unhbox0 \unskip\unpenalty\dimen7\lastkern\unkern +\ifnum\lastpenalty=1 \unpenalty\CD@UB\else\CD@TB\fi\ifnum\lastpenalty=2 +\unpenalty\dimen2.5\dimen0\advance\dimen2-.5\dimen1\advance\dimen2-% +\axisheight\else\dimen2\z@\fi\setbox0=\lastbox\dimen6\lastkern\unkern\setbox1% +=\lastbox\setbox0=\vbox{\unvbox0 \CD@tE\kern-\dimen1 \else\ifdim\dimen2=\z@ +\else\kern\dimen2 \fi\fi}\ifdim\dimen0<\ht0 \CD@aG v\dimen0<\ht0:upper part of +vertical too short:{\CD@tE\CD@NB\else\CD@wA\fi}\CD@xA\else\setbox0=\vbox to% +\dimen0{\unvbox0}\fi\setbox1=\vtop{\unvbox1}\ifdim\dimen1<\dp1 \CD@aG v\dimen +1<\dp1:lower part of vertical too short:\CD@NB\CD@wA\else\setbox1=\vtop to% +\dimen1{\ifdim\dimen2=\z@\else\kern-\dimen2 \fi\unvbox1 }\fi\box1 \kern\dimen +6 \box0 \kern\dimen7 \CD@HG\global\CD@QA\CD@JK\egroup\CD@JK\CD@QA\relax}% +\countdef\CD@u=14 \newcount\CD@CA\newcount\CD@XB\newcount\CD@NB\let\CD@LB +\insc@unt\newcount\CD@FA\newcount\CD@lA\let\CD@mA\CD@XB\newcount\CD@MB\CD@tG +\CD@DF\CD@bI\CD@aI\CD@aI\def\CD@nD{-1}\def\CD@K{\ifnum\CD@nD<\z@\else +\begingroup\scrollmode\showboxdepth\CD@nD\showboxbreadth\maxdimen\showlists +\endgroup\fi\CD@bI\CD@zF\CD@CA=\CD@u\advance\CD@CA1 \CD@XB=\CD@CA\ifnum\CD@NB +=1 \CD@JA\fi\advance\CD@XB\CD@NB\dimen1\z@\skip0\z@\count@=\insc@unt\advance +\count@\CD@u\divide\count@2 \ifnum\CD@XB>\count@\CD@KB{The diagram has too +many rows! It can't be reformatted.}\else\CD@NG\CD@WI\fi\CD@cH}\def\CD@NG{% +\CD@NB\CD@CA\CD@uF\ifnum\CD@NB<\CD@XB\setbox\CD@NB\box\voidb@x\advance\CD@NB1% +\relax\repeat\CD@NB\CD@CA\skip\z@\z@\CD@uF\CD@GB\lastpenalty\unpenalty\ifnum +\CD@GB>\z@\CD@KE\repeat\ifnum\CD@GB=-123 \CD@tJ\unpenalty\else\cd@shouldnt D% +\fi\ifx\v@grid\relax\else\CD@NB\CD@XB\advance\CD@NB\m@ne\expandafter\CD@VJ +\v@grid\fi\CD@MB\CD@mA\CD@tB\z@\CD@XG\ifx\h@grid\relax\else\expandafter\CD@LJ +\h@grid\fi\count@\CD@XB\advance\count@\m@ne\CD@YB\ht\count@}\def\CD@KE{% +\ifcase\CD@GB\or\CD@MG\else\CD@uA-\lastpenalty\unpenalty\CD@vA\lastpenalty +\unpenalty\setbox0=\lastbox\CD@WG\fi\CD@wD}\def\CD@wD{\skip1\lastskip\unskip +\advance\skip0\skip1 \ifdim\skip1=\z@\else\expandafter\CD@wD\fi}\def\CD@MG{% +\setbox0=\lastbox\CD@pI\dp0 \advance\CD@pI\skip\z@\skip\z@\z@\advance\CD@NF +\CD@pI\CD@uE\ifnum\CD@NB>\CD@CA\CD@NF\DiagramCellHeight\CD@pI\CD@NF\advance +\CD@pI-\CD@qI\fi\fi\CD@qI\ht0 \CD@NF\CD@qI\setbox\CD@NB\hbox{\unhbox\CD@NB +\unhbox0}\dp\CD@NB\CD@pI\ht\CD@NB\CD@qI\advance\CD@NB1 }\def\CD@WG{\ifnum +\CD@uA<\z@\advance\CD@uA\CD@XB\ifnum\CD@uA<\CD@CA\CD@UG\else\CD@OA\dp\CD@uA +\CD@PA\ht\CD@uA\setbox\CD@uA\hbox{\box\z@\penalty\CD@vA\penalty\CD@GB\unhbox +\CD@uA}\dp\CD@uA\CD@OA\ht\CD@uA\CD@PA\fi\else\CD@UG\fi}\def\CD@UG{\CD@KB{% +diagonal goes outside diagram (lost)}}\def\CD@fI{\advance\CD@uA\CD@XB\ifnum +\CD@uA<\CD@CA\CD@UG\else\ifnum\CD@uA=\CD@NB\CD@VG\else\ifnum\CD@uA>\CD@NB +\cd@shouldnt M\else\CD@OA\dp\CD@uA\CD@PA\ht\CD@uA\setbox\CD@uA\hbox{\box\z@ +\penalty\CD@vA\penalty\CD@GB\unhbox\CD@uA}\dp\CD@uA\CD@OA\ht\CD@uA\CD@PA\fi +\fi\fi}\def\CD@WI{\CD@t\CD@AJ\setbox\CD@PC=\hbox{\CD@k A\@super f\CD@lJ f% +\CD@ND}\CD@ZE\z@\CD@JK\z@\CD@kI\z@\CD@kF\z@\CD@NB=\CD@XB\CD@NF\z@\CD@uB\z@ +\CD@uF\ifnum\CD@NB>\CD@CA\advance\CD@NB\m@ne\CD@qI\ht\CD@NB\CD@pI\dp\CD@NB +\advance\CD@NF\CD@qI\CD@rI\advance\CD@uB\CD@NF\CD@KC\CD@ZI\CD@w\ht\CD@NB +\CD@qI\dp\CD@NB\CD@pI\nointerlineskip\box\CD@NB\CD@NF\CD@pI\setbox\CD@NB\null +\ht\CD@NB\CD@uB\repeat\CD@wB\nointerlineskip\box\CD@NB\CD@gG\CD@ZE +\DiagramCellWidth{width}\CD@gG\CD@JK\DiagramCellHeight{height}\CD@VA\CD@LB +\advance\CD@VA-\CD@lA\advance\CD@VA\m@ne\advance\CD@VA\CD@mA\dimen0\wd\CD@VA +\CD@tI\axisheight\dimen1\CD@uB\advance\dimen1-\CD@YB\dimen2\CD@kI\advance +\dimen2-\dimen0 \advance\CD@XB-\CD@CA\advance\CD@LB-\CD@lA}\count@\year +\multiply\count@12 \advance\count@\month\ifnum\count@>24110 \loop\iftrue +\message{gone February 2009!}\repeat\fi\def\CD@wB{\CD@qI-\CD@NF\CD@pI\CD@NF +\setbox\CD@MH=\null\dp\CD@MH\CD@NF\ht\CD@MH-\CD@NF\CD@mF\z@\CD@mI\z@\CD@lA +\CD@LB\advance\CD@lA-\CD@MB\advance\CD@lA\CD@mA\CD@FA\CD@LB\CD@VA\CD@MB\CD@sF +\ifnum\CD@FA>\CD@lA\advance\CD@FA\m@ne\advance\CD@VA\m@ne\CD@tB\wd\CD@VA +\setbox\CD@FA=\box\voidb@x\CD@yB\repeat\CD@w\ht\CD@NB\CD@qI\dp\CD@NB\CD@pI}% +\def\CD@gG#1#2#3{\ifdim#1>.01\CD@zC\CD@PA#2\relax\advance\CD@PA#1\relax +\advance\CD@PA.99\CD@zC\count@\CD@PA\divide\count@\CD@zC\CD@KB{increase cell #% +3 to \the\count@ em}\fi}\def\CD@rI{\CD@FA=\CD@LB\penalty4 \noindent\unhbox +\CD@NB\CD@sF\unskip\setbox0=\lastbox\ifhbox0 \advance\CD@FA\m@ne\setbox\CD@FA +\hbox to\wd0{\null\penalty-9990\null\unhbox0}\repeat\CD@lA\CD@FA\advance +\CD@FA\CD@MB\advance\CD@FA-\CD@mA\ifnum\CD@FA<\CD@LB\count@\CD@FA\advance +\count@\m@ne\dimen0=\wd\count@\count@\CD@MB\advance\count@\m@ne\CD@tB\wd +\count@\CD@sF\ifnum\CD@FA<\CD@LB\CD@DJ\CD@XG\dimen0\wd\CD@FA\advance\CD@FA1 +\repeat\fi\CD@sF\CD@GB\lastpenalty\unpenalty\ifnum\CD@GB>\z@\CD@vA +\lastpenalty\unpenalty\CD@VG\repeat\endgraf\unskip\ifnum\lastpenalty=4 +\unpenalty\else\cd@shouldnt S\fi}\def\CD@VG{\advance\CD@vA\CD@lA\advance +\CD@vA\m@ne\setbox0=\lastbox\ifnum\CD@vA<\CD@LB\setbox\CD@vA\hbox{\box0% +\penalty\CD@GB\unhbox\CD@vA}\else\CD@UG\fi}\def\CD@bG{}\CD@tG\CD@uE\CD@WB +\CD@VB\def\CD@DJ{\advance\dimen0\wd\CD@FA\divide\dimen0\tw@\CD@uE\dimen0% +\DiagramCellWidth\else\CD@V{\dimen0}\DiagramCellWidth\CD@pJ\fi\advance\CD@tB +\dimen0 }\def\CD@XG{\setbox\CD@MB=\vbox{}\dp\CD@MB=\CD@uB\wd\CD@MB\CD@tB +\advance\CD@MB1 }\def\CD@LJ#1,{\def\CD@GK{#1}\ifx\CD@GK\CD@RD\else\advance +\CD@tB\CD@GK\DiagramCellWidth\CD@XG\expandafter\CD@LJ\fi}\def\CD@VJ#1,{\def +\CD@GK{#1}\ifx\CD@GK\CD@RD\else\ifnum\CD@NB>\CD@CA\CD@NF\CD@GK +\DiagramCellHeight\advance\CD@NF-\dp\CD@NB\advance\CD@NB\m@ne\ht\CD@NB\CD@NF +\fi\expandafter\CD@VJ\fi}\def\CD@pJ{\CD@wE\CD@OA\dimen0 \advance\CD@OA-% +\DiagramCellWidth\ifdim\CD@OA>2\MapShortFall\CD@KB{badly drawn diagonals (see +manual)}\let\CD@pJ\empty\fi\else\let\CD@pJ\empty\fi}\def\CD@KC{\CD@VA\CD@mA +\CD@sF\ifnum\CD@VA<\CD@MB\dimen0\dp\CD@VA\advance\dimen0\CD@NF\dp\CD@VA\dimen +0 \advance\CD@VA1 \repeat}\def\CD@bH#1#2#3#4{\ifnum\CD@FA<\CD@LB\CD@OA=#1% +\relax\setbox\CD@FA=\hbox{\setbox0=#2\dimen7=#4\relax\dimen8=#3\relax\ifhbox +\CD@FA\unhbox\CD@FA\advance\CD@OA-\lastkern\unkern\fi\ifdim\CD@OA=\z@\else +\kern-\CD@OA\fi\raise\dimen7\box0 \kern-\dimen8 }\ifnum\CD@FA=\CD@lA\CD@V +\CD@kF\CD@OA\fi\else\cd@shouldnt O\fi}\def\CD@w{\setbox\CD@NB=\hbox{\CD@FA +\CD@lA\CD@VA\CD@mA\CD@PA\z@\relax\CD@sF\ifnum\CD@FA<\CD@LB\CD@tB\wd\CD@VA +\relax\CD@eI\advance\CD@FA1 \advance\CD@VA1 \repeat}\CD@V\CD@kI{\wd\CD@NB}\wd +\CD@NB\z@}\def\CD@eI{\ifhbox\CD@FA\CD@OA\CD@tB\relax\advance\CD@OA-\CD@PA +\relax\ifdim\CD@OA=\z@\else\kern\CD@OA\fi\CD@PA\CD@tB\advance\CD@PA\wd\CD@FA +\relax\unhbox\CD@FA\advance\CD@PA-\lastkern\unkern\fi}\def\CD@ZI{\setbox +\CD@sH=\box\voidb@x\CD@VA=\CD@MB\CD@FA\CD@LB\CD@VA\CD@mA\advance\CD@VA\CD@FA +\advance\CD@VA-\CD@lA\advance\CD@VA\m@ne\CD@tB\wd\CD@VA\count@\CD@LB\advance +\count@\m@ne\CD@hF.5\wd\count@\advance\CD@hF\CD@tB\CD@A\m@ne\CD@gD\@m\CD@sF +\ifnum\CD@FA>\CD@lA\advance\CD@FA\m@ne\advance\CD@hF-\CD@tB\CD@PI\wd\CD@VA +\CD@tB\advance\CD@hF\CD@tB\advance\CD@VA\m@ne\CD@tB\wd\CD@VA\repeat\CD@mF +\CD@kF\CD@mI-\CD@mF\CD@vB}\newcount\CD@GB\def\CD@s{}\def\CD@t{\mathsurround +\z@\hsize\z@\rightskip\z@ plus1fil minus\maxdimen\parfillskip\z@\linepenalty +9000 \looseness0 \hfuzz\maxdimen\hbadness10000 \clubpenalty0 \widowpenalty0 +\displaywidowpenalty0 \interlinepenalty0 \predisplaypenalty0 +\postdisplaypenalty0 \interdisplaylinepenalty0 \interfootnotelinepenalty0 +\floatingpenalty0 \brokenpenalty0 \everypar{}\leftskip\z@\parskip\z@ +\parindent\z@\pretolerance10000 \tolerance10000 \hyphenpenalty10000 +\exhyphenpenalty10000 \binoppenalty10000 \relpenalty10000 \adjdemerits0 +\doublehyphendemerits0 \finalhyphendemerits0 \CD@IA\prevdepth\z@}\newbox +\CD@KG\newbox\CD@IG\def\CD@JG{\unhcopy\CD@KG}\def\CD@HG{\unhcopy\CD@IG}\def +\CD@iJ{\hbox{}\penalty1\nointerlineskip}\def\CD@PI{\penalty5 \noindent\setbox +\CD@MH=\null\CD@mF\z@\CD@mI\z@\ifnum\CD@FA<\CD@LB\ht\CD@MH\ht\CD@FA\dp\CD@MH +\dp\CD@FA\unhbox\CD@FA\skip0=\lastskip\unskip\else\CD@OK\skip0=\z@\fi\endgraf +\ifcase\prevgraf\cd@shouldnt Y \or\cd@shouldnt Z \or\CD@RI\or\CD@XI\else +\CD@QI\fi\unskip\setbox0=\lastbox\unskip\unskip\unpenalty\noindent\unhbox0% +\setbox0\lastbox\unpenalty\unskip\unskip\unpenalty\setbox0\lastbox\CD@tF +\CD@GB\lastpenalty\unpenalty\ifnum\CD@GB>\z@\setbox\z@\lastbox\CD@lB\repeat +\endgraf\unskip\unskip\unpenalty}\def\CD@YJ{\CD@uA\CD@XB\advance\CD@uA-\CD@NB +\CD@vA\CD@FA\advance\CD@vA-\CD@lA\advance\CD@vA1 \expandafter\message{% +prevgraf=\the\prevgraf at (\the\CD@uA,\the\CD@vA)}}\def\CD@XI{\CD@CE\setbox +\CD@lI=\lastbox\setbox\CD@lI=\hbox{\unhbox\CD@lI\unskip\unpenalty}\unskip +\ifdim\ht\CD@lI>\ht\CD@PC\setbox\CD@MH=\copy\CD@lI\else\ifdim\dp\CD@lI>\dp +\CD@PC\setbox\CD@MH=\copy\CD@lI\else\CD@FG\CD@lI\fi\fi\advance\CD@mF.5\wd +\CD@lI\advance\CD@mI.5\wd\CD@lI\setbox\CD@lI=\hbox{\unhbox\CD@lI\CD@HG}\CD@bH +\CD@mF{\box\CD@lI}\CD@mI\z@\CD@yB\CD@vB}\def\CD@CE{\ifnum\CD@A>0 \advance +\dimen0-\CD@tB\CD@iA-.5\dimen0 \CD@A-\CD@A\else\CD@A0 \CD@iA\z@\fi\setbox +\CD@MH=\lastbox\setbox\CD@MH=\hbox{\unhbox\CD@MH\unskip\unskip\unpenalty +\setbox0=\lastbox\global\CD@QA\lastkern\unkern}\advance\CD@iA-.5\CD@QA\unskip +\setbox\CD@MH=\null\CD@mI\CD@iA\CD@mF-\CD@iA}\def\CD@Z{\ht\CD@MH\CD@tI\dp +\CD@MH\CD@sI}\def\CD@FG#1{\setbox\CD@MH=\hbox{\CD@V{\ht\CD@MH}{\ht#1}\CD@V{% +\dp\CD@MH}{\dp#1}\CD@V{\wd\CD@MH}{\wd#1}\vrule height\ht\CD@MH depth\dp\CD@MH +width\wd\CD@MH}}\def\CD@QI{\CD@CE\CD@Z\setbox\CD@lI=\lastbox\unskip\setbox +\CD@lF=\lastbox\unskip\setbox\CD@lF=\hbox{\unhbox\CD@lF\unskip\global\CD@yA +\lastpenalty\unpenalty}\advance\CD@yA9999 \ifcase\CD@yA\CD@VI\or\CD@YI\or +\CD@TI\or\CD@dI\or\CD@cI\or\CD@SI\else\cd@shouldnt9\fi}\def\CD@VI{\CD@FG +\CD@lI\CD@UI\setbox\CD@sH=\box\CD@lF\setbox\CD@tH=\box\CD@lI}\def\CD@YI{% +\CD@FG\CD@lF\setbox\CD@lI\hbox{\penalty8 \unhbox\CD@lI\unskip\unpenalty\ifnum +\lastpenalty=8 \else\CD@xH\fi}\CD@UI\setbox\CD@lF=\hbox{\unhbox\CD@lF\unskip +\unpenalty\global\setbox\CD@DA=\lastbox}\ifdim\wd\CD@lF=\z@\else\CD@xH\fi +\setbox\CD@sH=\box\CD@DA}\def\CD@xH{\CD@KB{extra material in \string\pile +\space cell (lost)}}\def\CD@UI{\CD@yB\ifvoid\CD@sH\else\CD@KB{Clashing +horizontal arrows}\CD@mI.5\CD@hF\CD@mF-\CD@mI\CD@vB\CD@mI\z@\CD@mF\z@\fi +\CD@hI\CD@hF\advance\CD@hI-\CD@mI\CD@hF-\CD@mF\CD@JC\CD@FA}\def\CD@RI{\setbox +0\lastbox\unskip\CD@iA\z@\CD@Z\ifdim\skip0>\z@\CD@tJ\CD@A0 \else\ifnum\CD@A<1 +\CD@A0 \dimen0\CD@tB\fi\advance\CD@A1 \fi}\def\VonH{\CD@MA46\VonH{.5\CD@LF}}% +\def\HonV{\CD@MA57\HonV{.5\CD@LF}}\def\HmeetV{\CD@MA44\HmeetV{-\MapShortFall}% +}\def\CD@MA#1#2#3#4{\CD@pB34#1{\string#3}\CD@SD\CD@GB-999#2 \dimen0=#4\CD@tI +\dimen0\advance\CD@tI\axisheight\CD@sI\dimen0\advance\CD@sI-\axisheight\CD@CF +\CD@HC\CD@ZD}\def\CD@HC#1{\setbox0=\hbox{\CD@k#1\CD@ND}\dimen0.5\wd0 \CD@tI +\ht0 \CD@sI\dp0 \CD@ZD}\def\CD@SD{\setbox0=\null\ht0=\CD@tI\dp0=\CD@sI\wd0=% +\dimen0 \copy0\penalty\CD@GB\box0 }\def\CD@TI{\CD@GC\CD@yB}\def\CD@dI{\CD@GC +\CD@vB}\def\CD@SI{\CD@GC\CD@yB\CD@vB}\def\CD@GC{\setbox\CD@lI=\hbox{\unhbox +\CD@lI}\setbox\CD@lF=\hbox{\unhbox\CD@lF\global\setbox\CD@DA=\lastbox}\ht +\CD@MH\ht\CD@DA\dp\CD@MH\dp\CD@DA\advance\CD@mF\wd\CD@DA\advance\CD@mI\wd +\CD@lI}\CD@tG\ifPositiveGradient\CD@CI\CD@BI\CD@CI\CD@tG\ifClimbing\CD@rB +\CD@qB\CD@rB\newcount\DiagonalChoice\DiagonalChoice\m@ne\ifx\tenln\nullfont +\CD@tJ\def\CD@qF{\CD@KH\ifPositiveGradient/\else\CD@k\backslash\CD@ND\fi}% +\else\def\CD@qF{\CD@rF\char\count@}\fi\let\CD@rF\tenln\def\Use@line@char#1{% +\hbox{#1\CD@rF\ifPositiveGradient\else\advance\count@64 \fi\char\count@}}\def +\CD@cF{\Use@line@char{\count@\CD@TC\multiply\count@8\advance\count@-9\advance +\count@\CD@LH}}\def\CD@ZF{\Use@line@char{\ifcase\DiagonalChoice\CD@gF\or +\CD@fF\or\CD@fF\else\CD@gF\fi}}\def\CD@gF{\ifnum\CD@TC=\z@\count@\rq33 \else +\count@\CD@TC\multiply\count@\sixt@@n\advance\count@-9\advance\count@\CD@LH +\advance\count@\CD@LH\fi}\def\CD@fF{\count@\rq\ifcase\CD@LH55\or\ifcase\CD@TC +66\or22\or52\or61\or72\fi\or\ifcase\CD@TC66\or25\or22\or63\or52\fi\or\ifcase +\CD@TC66\or16\or36\or22\or76\fi\or\ifcase\CD@TC66\or27\or25\or67\or22\fi\fi +\relax}\def\CD@uC#1{\hbox{#1\setbox0=\Use@line@char{#1}\ifPositiveGradient +\else\raise.3\ht0\fi\copy0 \kern-.7\wd0 \ifPositiveGradient\raise.3\ht0\fi +\box0}}\def\CD@jF#1{\hbox{\setbox0=#1\kern-.75\wd0 \vbox to.25\ht0{% +\ifPositiveGradient\else\vss\fi\box0 \ifPositiveGradient\vss\fi}}}\def\CD@jI#% +1{\hbox{\setbox0=#1\dimen0=\wd0 \vbox to.25\ht0{\ifPositiveGradient\vss\fi +\box0 \ifPositiveGradient\else\vss\fi}\kern-.75\dimen0 }}\CD@RC{+h:>}{% +\Use@line@char\CD@fF}\CD@RC{-h:>}{\Use@line@char\CD@gF}\CD@nF{+t:<}{-h:>}% +\CD@nF{-t:<}{+h:>}\CD@RC{+t:>}{\CD@jF{\Use@line@char\CD@fF}}\CD@RC{-t:>}{% +\CD@jI{\Use@line@char\CD@gF}}\CD@nF{+h:<}{-t:>}\CD@nF{-h:<}{+t:>}\CD@RC{+h:>>% +}{\CD@uC\CD@fF}\CD@RC{-h:>>}{\CD@uC\CD@gF}\CD@nF{+t:<<}{-h:>>}\CD@nF{-t:<<}{+% +h:>>}\CD@nF{+h:>->}{+h:>>}\CD@nF{-h:>->}{-h:>>}\CD@nF{+t:<-<}{-h:>>}\CD@nF{-t% +:<-<}{+h:>>}\CD@RC{+t:>>}{\CD@jF{\CD@uC\CD@fF}}\CD@RC{-t:>>}{\CD@jI{\CD@uC +\CD@gF}}\CD@nF{+h:<<}{-t:>>}\CD@nF{-h:<<}{+t:>>}\CD@nF{+t:>->}{+t:>>}\CD@nF{-% +t:>->}{-t:>>}\CD@nF{+h:<-<}{-t:>>}\CD@nF{-h:<-<}{+t:>>}\CD@RC{+f:-}{\CD@EF +\null\else\CD@cF\fi}\CD@nF{-f:-}{+f:-}\def\CD@tC#1#2{\vbox to#1{\vss\hbox to#% +2{\hss.\hss}\vss}}\def\hfdot{\CD@tC{2\axisheight}{.5em}}% +%% % .7em until 29.7.98 +\def\vfdot{\CD@tC{1ex}\z@}%% % 1.46ex until 29.7.98 +\def\CD@bF{\hbox{\dimen0=.3\CD@zC\dimen1\dimen0 \ifnum\CD@LH>\CD@TC\CD@iC{% +\dimen1}\else\CD@dG{\dimen0}\fi\CD@tC{\dimen0}{\dimen1}}}\newarrowfiller{.}% +\hfdot\hfdot\vfdot\vfdot\def\dfdot{\CD@bF\CD@CK}\CD@RC{+f:.}{\dfdot}\CD@RC{-f% +:.}{\dfdot}\def\CD@@K#1{\hbox\bgroup\def\CD@CH{#1\egroup}\afterassignment +\CD@CH%% +\count@=\rq}\def\lnchar{\CD@@K\CD@qF}\let\laf\lnchar\let\lah\lnchar\def\lad{% +\CD@@K\xlad}\def\xlad{\setbox2=\hbox{\CD@qF}\setbox0=\hbox to.3\wd2{\hss.\hss +}\dimen0=\ht0 \advance\dimen0-\dp0 \dimen1=.3\ht2 \advance\dimen1-\dimen0 \dp +0=.5\dimen1 \dimen1=.3\ht2 \advance\dimen1\dimen0 \ht0=.5\dimen1 \raise\dp0% +\box0}\def\lahh{\CD@@K\xlahh}\def\lat{\CD@@K\xlat}\def\xlat{\setbox0=\hbox{% +\CD@qF}\dimen0=\ht0 \setbox1=\hbox to.25\wd0{\ifcase\DiagonalChoice\box0\hss +\or\hss\box0 \or\hss\box0 \or\box0\hss\fi}\vbox to.25\dimen0{\ifClimbing\box1% +\vss\else\vss\box1\fi\kern\z@}}\def\xlahh{\setbox0=\hbox{\CD@qF}% +\ifPositiveGradient\CD@tJ\copy0 \kern-.7\wd0 \mv.3\ht0\box0 \else\ifClimbing +\CD@tJ\copy0 \kern-.7\wd0 \mv.3\ht0\box0 \else\mv-.3\ht0\copy0 \kern-.7\wd0 +\box0 \fi\fi}\def\CD@dF#1{\setbox#1=\hbox{\dimen5\dimen#1 \setbox8=\box#1 +\dimen1\wd8 \count@\dimen5 \divide\count@\dimen1 \ifnum\count@=0 \box8 \ifdim +\dimen5<.95\dimen1 \CD@gB{diagonal line too short}\fi\else\dimen3=\dimen5 +\advance\dimen3-\dimen1 \divide\dimen3\count@\dimen4\dimen3 \CD@dG{\dimen4}% +\ifPositiveGradient\multiply\dimen4\m@ne\fi\dimen6\dimen1 \advance\dimen6-% +\dimen3 \loop\raise\count@\dimen4\copy8 \ifnum\count@>0 \kern-\dimen6 \advance +\count@\m@ne\repeat\fi}}\def\CD@CG#1{\CD@EF\CD@xJ{#1}\else\CD@dF{#1}\fi}\def +\CD@IH#1{}\newdimen\objectheight\objectheight1.8ex \newdimen\objectwidth +\objectwidth1em \def\CD@YD{\dimen6=\CD@aK\DiagramCellHeight\dimen7=\CD@WK +\DiagramCellWidth\CD@KJ\ifnum\CD@LH>0 \ifnum\CD@TC>0 \CD@aF\else\aftergroup +\CD@VC\fi\else\aftergroup\CD@UC\fi}\def\CD@VC{\CD@YA{diagonal map is nearly +vertical}\CD@NA}\def\CD@UC{\CD@YA{diagonal map is nearly horizontal}\CD@NA}% +\CD@rG\CD@NA{Use an orthogonal map instead}\def\CD@aF{\CD@MJ\dimen3\dimen7% +\dimen7\dimen6\CD@iC{\dimen7}\advance\dimen3-\dimen7 \CD@MF\ifnum\CD@LH>% +\CD@TC\advance\dimen6-\dimen1\advance\dimen6-\dimen5 \CD@iC{\dimen1}\CD@iC{% +\dimen5}\else\dimen0\dimen1\advance\dimen0\dimen5\CD@dG{\dimen0}\advance +\dimen6-\dimen0 \fi\dimen2.5\dimen7\advance\dimen2-\dimen1 \dimen4.5\dimen7% +\advance\dimen4-\dimen5 \ifPositiveGradient\dimen0\dimen5 \advance\dimen1-% +\CD@WK\DiagramCellWidth\advance\dimen1 \CD@ZK\DiagramCellWidth\setbox6=\llap{% +\unhbox6\kern.1\ht2}\setbox7=\rlap{\kern.1\ht2\unhbox7}\else\dimen0\dimen1 +\advance\dimen1-\CD@ZK\DiagramCellWidth\setbox7=\llap{\unhbox7\kern.1\ht2}% +\setbox6=\rlap{\kern.1\ht2\unhbox6}\fi\setbox6=\vbox{\box6\kern.1\wd2}\setbox +7=\vtop{\kern.1\wd2\box7}\CD@dG{\dimen0}\advance\dimen0-\axisheight\advance +\dimen0-\CD@bK\DiagramCellHeight\dimen5-\dimen0 \advance\dimen0\dimen6 +\advance\dimen1.5\dimen3 \ifdim\wd3>\z@\ifdim\ht3>-\dp3\CD@TB\fi\fi\dimen3% +\dimen2 \dimen7\dimen2\advance\dimen7\dimen4 \ifvoid3 \else\CD@tE\else\dimen8% +\ht3\advance\dimen8-\axisheight\CD@iC{\dimen8}\CD@X{\dimen8}{.5\wd3}\dimen9% +\dp3\advance\dimen9\axisheight\CD@iC{\dimen9}\CD@X{\dimen9}{.5\wd3}% +\ifPositiveGradient\advance\dimen2-\dimen9\advance\dimen4-\dimen8 \else +\advance\dimen4-\dimen9\advance\dimen2-\dimen8 \fi\fi\advance\dimen3-.5\wd3 +\fi\dimen9=\CD@aK\DiagramCellHeight\advance\dimen9-2\DiagramCellHeight\CD@tE +\advance\dimen2\dimen4 \CD@CG{2}\dimen2-\dimen0\advance\dimen2\dp2 \else +\CD@CG{2}\CD@CG{4}\ifPositiveGradient\dimen2-\dimen0\advance\dimen2\dp2 \dimen +4\dimen5\advance\dimen4-\ht4 \else\dimen4-\dimen0\advance\dimen4\dp4 \dimen2% +\dimen5\advance\dimen2-\ht2 \fi\fi\setbox0=\hbox to\z@{\kern\dimen1 \ifvoid1 +\else\ifPositiveGradient\advance\dimen0-\dp1 \lower\dimen0 \else\advance +\dimen5-\ht1 \raise\dimen5 \fi\rlap{\unhbox1}\fi\raise\dimen2\rlap{\unhbox2}% +\ifvoid3 \else\lower.5\dimen9\rlap{\kern\dimen3\unhbox3}\fi\kern.5\dimen7 +\lower.5\dimen9\box6 \lower.5\dimen9\box7 \kern.5\dimen7 \CD@tE\else\raise +\dimen4\llap{\unhbox4}\fi\ifvoid5 \else\ifPositiveGradient\advance\dimen5-\ht +5 \raise\dimen5 \else\advance\dimen0-\dp5 \lower\dimen0 \fi\llap{\unhbox5}\fi +\hss}\ht0=\axisheight\dp0=-\ht0\box0 }\def\NorthWest{\CD@BI\CD@rB +\DiagonalChoice0 }\def\NorthEast{\CD@CI\CD@rB\DiagonalChoice1 }\def\SouthWest +{\CD@CI\CD@qB\DiagonalChoice3 }\def\SouthEast{\CD@BI\CD@qB\DiagonalChoice2 }% +\def\CD@aD{\vadjust{\CD@uA\CD@FA\advance\CD@uA\ifPositiveGradient\else-\fi +\CD@ZK\relax\CD@vA\CD@NB\advance\CD@vA-\CD@bK\relax\hbox{\advance\CD@uA +\ifPositiveGradient-\fi\CD@WK\advance\CD@vA\CD@aK\hbox{\box6 \kern\CD@DC\kern +\CD@eJ\penalty1 \box7 \box\z@}\penalty\CD@uA\penalty\CD@vA}\penalty\CD@uA +\penalty\CD@vA\penalty104}}\def\CD@eH#1{\relax\vadjust{\hbox@maths{#1}% +\penalty\CD@FA\penalty\CD@NB\penalty\tw@}}\def\CD@lB{\ifcase\CD@GB\or\or +\CD@bH{.5\wd0}{\box0}{.5\wd0}\z@\or\unhbox\z@\setbox\z@\lastbox\CD@bH{.5\wd0}% +{\box0}{.5\wd0}\z@\unpenalty\unpenalty\setbox\z@\lastbox\or\CD@TG\else +\advance\CD@GB-100 \ifnum\CD@GB<\z@\cd@shouldnt B\fi\setbox\z@\hbox{\kern +\CD@mF\copy\CD@MH\kern\CD@mI\CD@uA\CD@XB\advance\CD@uA-\CD@NB\penalty\CD@uA +\CD@uA\CD@FA\advance\CD@uA-\CD@lA\penalty\CD@uA\unhbox\z@\global\CD@yA +\lastpenalty\unpenalty\global\CD@zA\lastpenalty\unpenalty}\CD@uA-\CD@yA\CD@vA +\CD@zA\CD@fI\fi}\def\CD@TG{\unhbox\z@\setbox\z@\lastbox\CD@uA\lastpenalty +\unpenalty\advance\CD@uA\CD@mA\CD@vA\CD@XB\advance\CD@vA-\lastpenalty +\unpenalty\dimen1\lastkern\unkern\setbox3\lastbox\dimen0\lastkern\unkern +\setbox0=\hbox to\z@{\unhbox0\setbox0\lastbox\setbox7\lastbox\unpenalty\CD@eJ +\lastkern\unkern\CD@DC\lastkern\unkern\setbox6\lastbox\dimen7\CD@tB\advance +\dimen7-\wd\CD@uA\ifdim\dimen7<\z@\CD@CI\multiply\dimen7\m@ne\let\mv\empty +\else\CD@BI\def\mv{\raise\ht1}\kern-\dimen7 \fi\ifnum\CD@vA>\CD@NB\dimen6% +\CD@uB\advance\dimen6-\ht\CD@vA\else\dimen6\z@\fi\CD@jJ\CD@mK\setbox1\null\ht +1\dimen6\wd1\dimen7 \dimen7\dimen2 \dimen6\wd1 \CD@KJ\CD@uA\CD@LH\CD@vA\CD@TC +\dimen6\ht1 \CD@KJ\setbox2\null\divide\dimen2\tw@\advance\dimen2\CD@eJ\CD@eG{% +\dimen2}\wd2\dimen2 \dimen0.5\dimen7 \advance\dimen0\ifPositiveGradient\else-% +\fi\CD@eJ\CD@dG{\dimen0}\advance\dimen0-\axisheight\ht2\dimen0 \dimen0\CD@DC +\CD@eG{\dimen0}\advance\dimen0\ht2\ht2\dimen0 \dimen0\ifPositiveGradient-\fi +\CD@DC\CD@dG{\dimen0}\advance\dimen0\wd2\wd2\dimen0 \setbox4\null\dimen0 .6% +\CD@zC\CD@eG{\dimen0}\ht4\dimen0 \dimen0 .2\CD@zC\CD@dG{\dimen0}\wd4\dimen0 +\dimen0\wd2 \ifvoid6\else\dimen1\ht4 \advance\dimen1\ht2 \CD@CC6+-\raise +\dimen1\rlap{\ifPositiveGradient\advance\dimen0-\wd6\advance\dimen0-\wd4 \else +\advance\dimen0\wd4 \fi\kern\dimen0\box6}\fi\dimen0\wd2 \ifvoid7\else\dimen1% +\ht4 \advance\dimen1-\ht2 \CD@CC7-+\lower\dimen1\rlap{\ifPositiveGradient +\advance\dimen0\wd4 \else\advance\dimen0-\wd7\advance\dimen0-\wd4 \fi\kern +\dimen0\box7}\fi\mv\box0\hss}\ht0\z@\dp0\z@\CD@bH{\z@}{\box\z@}{\z@}{% +\axisheight}}\def\CD@CC#1#2#3{\dimen4.5\wd#1 \ifdim\dimen4>.25\dimen7\dimen4=% +.25\dimen7\fi\ifdim\dimen4>\CD@zC\dimen4.4\dimen4 \advance\dimen4.6\CD@zC\fi +\CD@eG{\dimen4}\dimen5\axisheight\CD@dG{\dimen5}\advance\dimen4-\dimen5 \dimen +5\dimen4\CD@eG{\dimen5}\advance\dimen0\ifPositiveGradient#2\else#3\fi\dimen5 +\CD@dG{\dimen4}\advance\dimen1\dimen4 } \def\CD@eD#1{\expandafter\CD@IK{#1}}% +\CD@ZA\CD@EK{output is PostScript dependent}\def\CD@SC{\CD@IK{/bturn {gsave +currentpoint currentpoint translate 4 2 roll neg exch atan rotate neg exch neg +exch translate } def /eturn {currentpoint grestore moveto} def}}\def\CD@gK{% +\relax\CD@hK\pdfliteral{Q}\else\CD@IK{eturn}\fi} \def\CD@OJ#1{\count@#1\relax +\multiply\count@7\advance\count@16577\divide\count@33154 }\def\CD@fD#1{% +\expandafter\special{#1}} \def\CD@xJ#1{\setbox#1=\hbox{\dimen0\dimen#1\CD@dG{% +\dimen0}\CD@OJ{\dimen0}\setbox0=\null\ifPositiveGradient\count@-\count@\ht0% +\dimen0 \else\dp0\dimen0 \fi\box0 \CD@uA\count@\CD@OJ\CD@LF\CD@fD{pn \the +\count@}\CD@fD{pa 0 0}\CD@OJ{\dimen#1}\CD@fD{pa \the\count@\space\the\CD@uA}% +\CD@fD{fp}\kern\dimen#1}}\def\CD@JI{\CD@KJ\begingroup\ifdim\dimen7<\dimen6 +\dimen2=\dimen6 \dimen6=\dimen7 \dimen7=\dimen2 \count@\CD@LH\CD@LH\CD@TC +\CD@TC\count@\else\dimen2=\dimen7 \fi\ifdim\dimen6>.01\p@\CD@KI\global\CD@QA +\dimen0 \else\global\CD@QA\dimen7 \fi\endgroup\dimen2\CD@QA\CD@iK\CD@lK{% +\ifPositiveGradient\else-\fi\dimen6}\CD@iK\CD@kK{\ifPositiveGradient-\fi +\dimen6}\CD@iK\CD@eK{\dimen7}}\def\CD@KI{\CD@hJ\ifdim\dimen7>1.73\dimen6 +\divide\dimen2 4 \multiply\CD@TC2 \else\dimen2=0.353553\dimen2 \advance\CD@LH +-\CD@TC\multiply\CD@TC4 \fi\dimen0=4\dimen2 \CD@ZG4\CD@ZG{-2}\CD@ZG2\CD@ZG{-2% +.5}}\def\CD@AI{\begingroup\count@\dimen0 \dimen2 45pt \divide\count@\dimen2 +\ifdim\dimen0<\z@\advance\count@\m@ne\fi\ifodd\count@\advance\count@1\CD@@A +\else\CD@y\fi\advance\dimen0-\count@\dimen2 \CD@gE\multiply\dimen0\m@ne\fi +\ifnum\count@<0 \multiply\count@-7 \fi\dimen3\dimen1 \dimen6\dimen0 \dimen7 +3754936sp \ifdim\dimen0<6\p@\def\CD@OG{4000}\fi\CD@KJ\dimen2\dimen3\CD@dG{% +\dimen2}\CD@hJ\multiply\CD@TC-6 \dimen0\dimen2 \CD@ZG1\CD@ZG{0.3}\dimen1% +\dimen0 \dimen2\dimen3 \dimen0\dimen3 \CD@ZG3\CD@ZG{1.5}\CD@ZG{0.3}\divide +\count@2 \CD@gE\multiply\dimen1\m@ne\fi\ifodd\count@\dimen2\dimen1\dimen1% +\dimen0\dimen0-\dimen2 \fi\divide\count@2 \ifodd\count@\multiply\dimen0\m@ne +\multiply\dimen1\m@ne\fi\global\CD@QA\dimen0\global\CD@RA\dimen1\endgroup +\dimen6\CD@QA\dimen7\CD@RA}\def\CD@OC{255}\let\CD@OG\CD@OC\def\CD@KJ{% +\begingroup\ifdim\dimen7<\dimen6 \dimen9\dimen7\dimen7\dimen6\dimen6\dimen9% +\CD@@A\else\CD@y\fi\dimen2\z@\dimen3\CD@XH\dimen4\CD@XH\dimen0\z@\dimen8=% +\CD@OG\CD@XH\CD@lC\global\CD@yA\dimen\CD@gE0\else3\fi\global\CD@zA\dimen +\CD@gE3\else0\fi\endgroup\CD@LH\CD@yA\CD@TC\CD@zA}\def\CD@lC{\count@\dimen6 +\divide\count@\dimen7 \advance\dimen6-\count@\dimen7 \dimen9\dimen4 \advance +\dimen9\count@\dimen0 \ifdim\dimen9>\dimen8 \CD@@C\else\CD@AC\ifdim\dimen6>% +\z@\dimen9\dimen6 \dimen6\dimen7 \dimen7\dimen9 \expandafter\expandafter +\expandafter\CD@lC\fi\fi}\def\CD@@C{\ifdim\dimen0=\z@\ifdim\dimen9<2\dimen8 +\dimen0\dimen8 \fi\else\advance\dimen8-\dimen4 \divide\dimen8\dimen0 \ifdim +\count@\CD@XH<2\dimen8 \count@\dimen8 \dimen9\dimen4 \advance\dimen9\count@ +\dimen0 \CD@AC\fi\fi}\def\CD@AC{\dimen4\dimen0 \dimen0\dimen9 \advance\dimen2% +\count@\dimen3 \dimen9\dimen2 \dimen2\dimen3 \dimen3\dimen9 }\def\CD@ZG#1{% +\CD@dG{\dimen2}\advance\dimen0 #1\dimen2 }\def\CD@dG#1{\divide#1\CD@TC +\multiply#1\CD@LH}\def\CD@eG#1{\divide#1\CD@vA\multiply#1\CD@uA}\def\CD@iC#1{% +\divide#1\CD@LH\multiply#1\CD@TC}\def\CD@hJ{\dimen6\CD@LH\CD@XH\multiply +\dimen6\CD@LH\dimen7\CD@TC\CD@XH\multiply\dimen7\CD@TC\CD@KJ}\def\CD@iK#1#2{% +\begingroup\dimen@#2\relax\loop\ifdim\dimen2<.4\maxdimen\multiply\dimen2\tw@ +\multiply\dimen@\tw@\repeat\divide\dimen2\@cclvi\divide\dimen@\dimen2\relax +\multiply\dimen@\@cclvi\expandafter\CD@jK\the\dimen@\endgroup\let#1\CD@fK}{% +\catcode\lq p=12 \catcode\lq0=12 \catcode\lq.=12 \catcode\lq t=12 \gdef\CD@jK +#1pt{\gdef\CD@fK{#1}}}\ifx\errorcontextlines\CD@qK\CD@tJ\let\CD@GH\relax\else +\def\CD@GH{\errorcontextlines\m@ne}\fi\ifnum\inputlineno<0 \let\CD@CD\empty +\let\CD@W\empty\let\CD@mD\relax\let\CD@uI\relax\let\CD@vI\relax\let\CD@zF +\relax\message{! Why not upgrade to TeX version 3? (available since 1990)}% +\else\def\CD@W{ at line \number\inputlineno}\def\CD@mD{ - first occurred}\def +\CD@uI{\edef\CD@h{\the\inputlineno}\global\let\CD@jB\CD@h}\def\CD@h{9999}\def +\CD@vI{\xdef\CD@jB{\the\inputlineno}}\def\CD@jB{\CD@h}\def\CD@zF{\ifnum\CD@h<% +\inputlineno\edef\CD@CD{\space at lines \CD@h--\the\inputlineno}\else\edef +\CD@CD{\CD@W}\fi}\fi\let\CD@CD\empty\def\CD@YA#1#2{\CD@GH\errhelp=#2% +\expandafter\errmessage{\CD@tA: #1}}\def\CD@KB#1{\begingroup\expandafter +\message{! \CD@tA: #1\CD@CD}\ifnum\CD@XB>\CD@NB\ifnum\CD@CA>\CD@NB\else\ifnum +\CD@lA>\CD@FA\else\ifnum\CD@LB>\CD@FA\advance\CD@XB-\CD@NB\advance\CD@FA-% +\CD@lA\advance\CD@FA1\relax\expandafter\message{! (error detected at row \the +\CD@XB, column \the\CD@FA, but probably caused elsewhere)}\fi\fi\fi\fi +\endgroup}\def\CD@gB#1{{\expandafter\message{\CD@tA\space Warning: #1\CD@W}}}% +\def\CD@CB#1#2{\CD@gB{#1 \string#2 is obsolete\CD@mD}}\def\CD@AB#1{\CD@CB{% +Dimension}{#1}\CD@DE#1\CD@BB\CD@BB}\def\CD@BB{\CD@OA=}\def\CD@@B#1{\CD@CB{% +Count}{#1}\CD@DE#1\CD@OH\CD@OH}\def\CD@OH{\count@=}\def\HorizontalMapLength{% +\CD@AB\HorizontalMapLength}\def\VerticalMapHeight{\CD@AB\VerticalMapHeight}% +\def\VerticalMapDepth{\CD@AB\VerticalMapDepth}\def\VerticalMapExtraHeight{% +\CD@AB\VerticalMapExtraHeight}\def\VerticalMapExtraDepth{\CD@AB +\VerticalMapExtraDepth}\def\DiagonalLineSegments{\CD@@B\DiagonalLineSegments}% +\ifx\tenln\nullfont\CD@ZA\CD@KH{\CD@eF\space diagonal line and arrow font not +available}\else\let\CD@KH\relax\fi\def\CD@aG#1#2<#3:#4:#5#6{\begingroup\CD@PA +#3\relax\advance\CD@PA-#2\relax\ifdim.1em<\CD@PA\CD@uA#5\relax\CD@vA#6\relax +\ifnum\CD@uA<\CD@vA\count@\CD@vA\advance\count@-\CD@uA\CD@KB{#4 by \the\CD@PA +}\if#1v\let\CD@CH\CD@JK\edef\tmp{\the\CD@uA--\the\CD@vA,\the\CD@FA}\else +\advance\count@\count@\if#1l\advance\count@-\CD@A\else\if#1r\advance\count@ +\CD@A\fi\fi\advance\CD@PA\CD@PA\let\CD@CH\CD@ZE\edef\tmp{\the\CD@NB,\the +\CD@uA--\the\CD@vA}\fi\divide\CD@PA\count@\ifdim\CD@CH<\CD@PA\global\CD@CH +\CD@PA\fi\fi\fi\endgroup}\CD@tG\CD@xE\CD@JD\CD@ID\CD@rG\CD@xI{See the message +above.}\CD@rG\CD@lH{Perhaps you've forgotten to end the diagram before +resuming the text, in\CD@uG which case some garbage may be added to the +diagram, but we should be ok now.\CD@uG Alternatively you've left a blank line +in the middle - TeX will now complain\CD@uG that the remaining \CD@S s are +misplaced - so please use comments for layout.}\CD@rG\CD@hD{You have already +closed too many brace pairs or environments; an \CD@HD\CD@uG command was (% +over)due.}\CD@rG\CD@hH{\CD@dC\space and \CD@HD\space commands must match.}% +\def\CD@jH{\ifnum\inputlineno=0 \else\expandafter\CD@iH\fi}\def\CD@iH{\CD@MD +\CD@GD\crcr\CD@YA{missing \CD@HD\space inserted before \CD@kH- type "h"}% +\CD@lH\enddiagram\CD@AG\CD@kH\par}\def\CD@AG#1{\edef\enddiagram{\noexpand +\CD@rD{#1\CD@W}}}\def\CD@rD#1{\CD@YA{\CD@HD\space(anticipated by #1) ignored}% +\CD@xI\let\enddiagram\CD@SG}\def\CD@SG{\CD@YA{misplaced \CD@HD\space ignored}% +\CD@hH}\def\CD@mC{\CD@YA{missing \CD@HD\space inserted.}\CD@hD\CD@AG{closing +group}}\ifx\DeclareOption\CD@qK\else\ifx\DeclareOption\@notprerr\else +\DeclareOption*{\let\CD@N\relax\let\CD@DH\relax\expandafter\CD@@E +\CurrentOption,}\fi\fi +%%======================================================================% +%% % +%% (22) AUXILLARY MACROS FOR ADJUSTMENT OF COMPONENTS % +%% % +%%======================================================================% + +%% NOTE: The recommended way of defining arrow commands is now +%% \newarrow{Name}{tail}{filler}{middle}{filler}{head} +%% which defines \rName, \lName, \dName and \uName using arrow parts which +%% have themselves previously been defined using the commands +%% \newarrowtail, \newarrowfiller, \newarrowmiddle and \newarrowhead. + +%% The components \rhvee etc have been retained for the time being, as an +%% intermediate stage and to continue to support the old \HorizontalMap and +%% \VerticalMap commands, but you should not rely on the continued existence +%% of these macros. + +%% The various components usually need some correction +%% - longitudinally, ie to prevent gaps and overprints with the shaft, +%% - transversally, ie to prevent "steps" in the junction with the shaft. +%% The former can be done safely ad hoc, eg with \mkern1mu. +%% The latter are now done with the macros \scriptaxis, \boldscriptaxis, +%% \shifthook and \raisehook, which include pixel corrections. + +%% Please note that these and the other auxillary macros which follow are +%% interim. When it becomes clear exactly what kinds of adjustments are +%% needed for characters, this job will be done by a suitable extension +%% to the language of \newarrowhead, etc. If you have any other ideas for +%% transformations of general use please tell me. + +%% By all means experiment with other characters for arrowheads, but +%% please, in your own interests, do not rely on macros like \rhvee, +%% send me a copy of your definitions for distribution to other users +%% in this file, and keep track of where your efforts get copied so +%% that they can be replaced with the "official" version when it is +%% incorporated. + +%% ***** DONT use macros with mangled names like \Cd@gH. ***** + +\catcode\lq\$=3 %% make sure that $ means maths-shift +\def\vboxtoz{\vbox to\z@}%% \z@ is in plain TeX and means 0pt + +%% print #1 in \scriptstyle, adjusting for the maths axis height +\def\scriptaxis#1{\@scriptaxis{$\scriptstyle#1$}}%% +\def\ssaxis#1{\@ssaxis{$\scriptscriptstyle#1$}}%% +\def\@scriptaxis#1{\dimen0\axisheight\advance\dimen0-\ss@axisheight\raise +\dimen0\hbox{#1}}\def\@ssaxis#1{\dimen0\axisheight\advance\dimen0-% +\ss@axisheight\raise\dimen0\hbox{#1}} + +%% Some of the characters would look better in bold since they're +%% taken from sub/superscript fonts; we use LaTeX's \boldmath to +%% do this, defining this to do nothing if it doesn't exist. +%% With the old LaTeX font selection at other than 10pt you may still +%% get nothing happenning. Also, PK fonts may be missing. +%% If you have problems, DONT use boldhook or boldlittlevee. +\ifx\boldmath\CD@qK%% +\let\boldscriptaxis\scriptaxis%% +\def\boldscript#1{\hbox{$\scriptstyle#1$}}%% +\def\boldscriptscript#1{\hbox{$\scriptscriptstyle#1$}}%% +\else\def\boldscriptaxis#1{\@scriptaxis{\boldmath$\scriptstyle#1$}}%% +\def\boldscript#1{\hbox{\boldmath$\scriptstyle#1$}}%% +\def\boldscriptscript#1{\hbox{\boldmath$\scriptscriptstyle#1$}}%% +\fi + +%% #1= {} or \boldmath; #2= + or -; #3=\subset or \supset +\def\raisehook#1#2#3{\hbox{\setbox3=\hbox{#1$\scriptscriptstyle#3$}% +%% the character to use +\dimen0\ss@axisheight%% \scriptscriptstyle axis height +\dimen1\axisheight\advance\dimen1-\dimen0%% difference in axis heights +\dimen2\ht3\advance\dimen2-\dimen0% +%% height of char above axis (half spread) +\advance\dimen2-0.021em\advance\dimen1 #2\dimen2% +%% shift = axis_difference +/- half_spread +\raise\dimen1\box3}}%% print the character +%% Mark Dawson suggested using the width +\def\shifthook#1#2#3{\setbox1=\hbox{#1$\scriptscriptstyle#3$}\dimen0\wd1% +\divide\dimen0 12\CD@zH{\dimen0}%% "u" +\dimen1\wd1\advance\dimen1-2\dimen0 \advance\dimen1-2\CD@oI\CD@zH{\dimen1}% +\kern#2\dimen1\box1}%% print + +%% use the extension font (cmex) for double vertical arrows +\def\@cmex{\mathchar"03}%%ascii double quote + +%% ************* P U L L B A C K S ************ + +%% These will probably be replaced by something less ad hoc +%% in a future version. + +\def\make@pbk#1{\setbox\tw@\hbox to\z@{#1}\ht\tw@\z@\dp\tw@\z@\box\tw@}\def +\CD@fH#1{\overprint{\hbox to\z@{#1}}}\def\CD@qH{\kern0.11em}\def\CD@pH{\kern0% +.35em} + +%% This is a hack for my book ``Practical Foundations of Mathematics'' +%% and WILL NOT BE SUPPORTED --- DO NOT USE IT! +\def\dblvert{\def\CD@rH{\kern.5\PileSpacing}}\def\CD@rH{} + +\def\SEpbk{\make@pbk{\CD@qH\CD@rH\vrule depth 2.87ex height -2.75ex width 0.% +95em \vrule height -0.66ex depth 2.87ex width 0.05em \hss}} + +\def\SWpbk{\make@pbk{\hss\vrule height -0.66ex depth 2.87ex width 0.05em +\vrule depth 2.87ex height -2.75ex width 0.95em \CD@qH\CD@rH}} + +\def\NEpbk{\make@pbk{\CD@qH\CD@rH\vrule depth -3.81ex height 4.00ex width 0.% +95em \vrule height 4.00ex depth -1.72ex width 0.05em \hss}} + +\def\NWpbk{\make@pbk{\hss\vrule height 4.00ex depth -1.72ex width 0.05em +\vrule depth -3.81ex height 4.00ex width 0.95em \CD@qH\CD@rH}} + +%% Freyd & Scedrov puncture symbol for non-commuting polygon +\def\puncture{{\setbox0\hbox{A}\vrule height.53\ht0 depth-.47\ht0 width.35\ht +0 \kern.12\ht0 \vrule height\ht0 depth-.65\ht0 width.06\ht0 \kern-.06\ht0 +\vrule height.35\ht0 depth0pt width.06\ht0 \kern.12\ht0 \vrule height.53\ht0 +depth-.47\ht0 width.35\ht0 }} + +%% 2-cells: (24.11.95) +%%% \NEclck puts a clockwise (ie southeast) arrow to the northwest of cell etc +\def\NEclck{\overprint{\raise2.5ex\rlap{ \CD@rH$\scriptstyle\searrow$}}}%% +\def\NEanti{\overprint{\raise2.5ex\rlap{ \CD@rH$\scriptstyle\nwarrow$}}}%% +\def\NWclck{\overprint{\raise2.5ex\llap{$\scriptstyle\nearrow$ \CD@rH}}}%% +\def\NWanti{\overprint{\raise2.5ex\llap{$\scriptstyle\swarrow$ \CD@rH}}}%% +\def\SEclck{\overprint{\lower1ex\rlap{ \CD@rH$\scriptstyle\swarrow$}}}%% +\def\SEanti{\overprint{\lower1ex\rlap{ \CD@rH$\scriptstyle\nearrow$}}}%% +\def\SWclck{\overprint{\lower1ex\llap{$\scriptstyle\nwarrow$ \CD@rH}}}%% +\def\SWanti{\overprint{\lower1ex\llap{$\scriptstyle\searrow$ \CD@rH}}} + +%%======================================================================% +%% % +%% (23) BITS OF ARROWS % +%% % +%%======================================================================% + +%% ********** H E A D S *********** + +%% \diagramstyle[heads=xxx] defines {>} as {xxx} where xxx +%% has been defined by \newarrowhead{xxx} and \newarrowtail{xxx} + +%% vee head +\def\rhvee{\mkern-10mu\greaterthan}%% +\def\lhvee{\lessthan\mkern-10mu}%% +\def\dhvee{\vboxtoz{\vss\hbox{$\vee$}\kern0pt}}%% +\def\uhvee{\vboxtoz{\hbox{$\wedge$}\vss}}%% +\newarrowhead{vee}\rhvee\lhvee\dhvee\uhvee + +%% little vee head +\def\dhlvee{\vboxtoz{\vss\hbox{$\scriptstyle\vee$}\kern0pt}}%% +\def\uhlvee{\vboxtoz{\hbox{$\scriptstyle\wedge$}\vss}}%% +\newarrowhead{littlevee}{\mkern1mu\scriptaxis\rhvee}{\scriptaxis\lhvee}% +\dhlvee\uhlvee\ifx\boldmath\CD@qK%% +\newarrowhead{boldlittlevee}{\mkern1mu\scriptaxis\rhvee}{\scriptaxis\lhvee}% +\dhlvee\uhlvee\else%% +\def\dhblvee{\vboxtoz{\vss\boldscript\vee\kern0pt}}%% +\def\uhblvee{\vboxtoz{\boldscript\wedge\vss}}%% +\newarrowhead{boldlittlevee}{\mkern1mu\boldscriptaxis\rhvee}{\boldscriptaxis +\lhvee}\dhblvee\uhblvee%% +\fi + +%% curly vee head (uses AMS symbols fonts) +\def\rhcvee{\mkern-10mu\succ}%% +\def\lhcvee{\prec\mkern-10mu}%% +\def\dhcvee{\vboxtoz{\vss\hbox{$\curlyvee$}\kern0pt}}%% +\def\uhcvee{\vboxtoz{\hbox{$\curlywedge$}\vss}}%% +\newarrowhead{curlyvee}\rhcvee\lhcvee\dhcvee\uhcvee + +%% double vee head %% will probably be withdrawn later +\def\rhvvee{\mkern-13mu\gg}%% 24.8.92 changed 10mu to 13mu +\def\lhvvee{\ll\mkern-13mu}%% to make rule go through +\def\dhvvee{\vboxtoz{\vss\hbox{$\vee$}\kern-.6ex\hbox{$\vee$}\kern0pt}}%% +\def\uhvvee{\vboxtoz{\hbox{$\wedge$}\kern-.6ex \hbox{$\wedge$}\vss}}%% +\newarrowhead{doublevee}\rhvvee\lhvvee\dhvvee\uhvvee + +%% open and closed triangles (uses AMS symbols fonts) +\def\triangleup{{\scriptscriptstyle\bigtriangleup}}%% +\def\littletriangledown{{\scriptscriptstyle\triangledown}}%% AMS +\def\rhtriangle{\triangleright\mkern1.2mu}%% 29.1.93 +\def\lhtriangle{\triangleleft\mkern.8mu}%% +\def\uhtriangle{\vbox{\kern-.2ex \hbox{$\scriptscriptstyle\bigtriangleup$}% +\kern-.25ex}}%% +%% Changed \scriptstyle\triangledown to \scriptscriptstyle\bigtriangledown +%% at the suggestion of Martin Hofmann (25.11.92) to avoid using AMS symbols +%% and also for compatibility with upward arrow. +\def\dhtriangle{\vbox{\kern-.28ex \hbox{$\scriptscriptstyle\bigtriangledown$}% +\kern-.1ex}}%% 15.1.93 from -.25ex +\def\dhblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\blacktriangledown$}}}% +%% AMS +\def\uhblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\blacktriangle$}}}% +%% AMS +\def\dhlblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\scriptstyle +\blacktriangledown$}}}%% AMS +\def\uhlblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\scriptstyle +\blacktriangle$}}}%% AMS +\newarrowhead{triangle}\rhtriangle\lhtriangle\dhtriangle\uhtriangle +\newarrowhead{blacktriangle}{\mkern-1mu\blacktriangleright\mkern.4mu}{% +\blacktriangleleft}\dhblack\uhblack\newarrowhead{littleblack}{\mkern-1mu% +\scriptaxis\blacktriangleright}{\scriptaxis\blacktriangleleft\mkern-2mu}% +\dhlblack\uhlblack + +%% LaTeX arrowheads +\def\rhla{\hbox{\setbox0=\lnchar55\dimen0=\wd0\kern-.6\dimen0\ht0\z@\raise +\axisheight\box0\kern.1\dimen0}}%% +\def\lhla{\hbox{\setbox0=\lnchar33\dimen0=\wd0\kern.05\dimen0\ht0\z@\raise +\axisheight\box0\kern-.5\dimen0}}%% +\def\dhla{\vboxtoz{\vss\rlap{\lnchar77}}}%% +\def\uhla{\vboxtoz{\setbox0=\lnchar66 \wd0\z@\kern-.15\ht0\box0\vss}}%% 1/93 +\newarrowhead{LaTeX}\rhla\lhla\dhla\uhla + +%% double LaTeX arrowheads %% will probably be withdrawn later +\def\lhlala{\lhla\kern.3em\lhla}%% +\def\rhlala{\rhla\kern.3em\rhla}%% +\def\uhlala{\hbox{\uhla\raise-.6ex\uhla}}%% +\def\dhlala{\hbox{\dhla\lower-.6ex\dhla}}%% +\newarrowhead{doubleLaTeX}\rhlala\lhlala\dhlala\uhlala + +%% circles % \rho is a Greek letter! +\def\hhO{\scriptaxis\bigcirc\mkern.4mu} \def\hho{{\circ}\mkern1.2mu}% +\newarrowhead{o}\hho\hho\circ\circ%% +\newarrowhead{O}\hhO\hhO{\scriptstyle\bigcirc}{\scriptstyle\bigcirc}%% + +%% crosses +\def\rhtimes{\mkern-5mu{\times}\mkern-.8mu}\def\lhtimes{\mkern-.8mu{\times}% +\mkern-5mu}\def\uhtimes{\setbox0=\hbox{$\times$}\ht0\axisheight\dp0-\ht0% +\lower\ht0\box0 }\def\dhtimes{\setbox0=\hbox{$\times$}\ht0\axisheight\box0 }% +\newarrowhead{X}\rhtimes\lhtimes\dhtimes\uhtimes\newarrowhead+++++ + +%% empty head {} is also available + +%% Y from stmaryrd (vertical ones still need large adjustment) +\newarrowhead{Y}{\mkern-3mu\Yright}{\Yleft\mkern-3mu}\Yup\Ydown + +%% ********** H E A D S with S H A F T S *********** + +%% little arrow with shaft +\newarrowhead{->}\rightarrow\leftarrow\downarrow\uparrow + +%% arrow with double shaft +%%\newarrowhead{=>}\Rightarrow\Leftarrow\Downarrow\Uparrow +\newarrowhead{=>}\Rightarrow\Leftarrow{\@cmex7F}{\@cmex7E} + +%% harpoon with shaft (trailing up/left can be changed to down/right) +\newarrowhead{harpoon}\rightharpoonup\leftharpoonup\downharpoonleft +\upharpoonleft + +%% little double-headed arrow with shaft (uses AMS symbols fonts) +\def\twoheaddownarrow{\rlap{$\downarrow$}\raise-.5ex\hbox{$\downarrow$}}%% +\def\twoheaduparrow{\rlap{$\uparrow$}\raise.5ex\hbox{$\uparrow$}}%% +\newarrowhead{->>}\twoheadrightarrow\twoheadleftarrow\twoheaddownarrow +\twoheaduparrow + +%% ********** T A I L S *********** + +%% vee tail +\def\rtvee{\greaterthan}%% +\def\ltvee{\mkern-1mu{\lessthan}\mkern.4mu}%% \mkern added 15.1.93 +\def\dtvee{\vee}%% +\def\utvee{\wedge}%% +\newarrowtail{vee}\greaterthan\ltvee\vee\wedge + +%% little vee tail +\newarrowtail{littlevee}{\scriptaxis\greaterthan}{\mkern-1mu\scriptaxis +\lessthan}{\scriptstyle\vee}{\scriptstyle\wedge}\ifx\boldmath\CD@qK +\newarrowtail{boldlittlevee}{\scriptaxis\greaterthan}{\mkern-1mu\scriptaxis +\lessthan}{\scriptstyle\vee}{\scriptstyle\wedge}\else\newarrowtail{% +boldlittlevee}{\boldscriptaxis\greaterthan}{\mkern-1mu\boldscriptaxis +\lessthan}{\boldscript\vee}{\boldscript\wedge}\fi + +%% curly vee tail (uses AMS symbols fonts) +\newarrowtail{curlyvee}\succ{\mkern-1mu{\prec}\mkern.4mu}\curlyvee\curlywedge + +%% open and closed triangle tails (uses AMS symbols fonts) +\def\rttriangle{\mkern1.2mu\triangleright}%% 29.1.93 +\newarrowtail{triangle}\rttriangle\lhtriangle\dhtriangle\uhtriangle +\newarrowtail{blacktriangle}\blacktriangleright{\mkern-1mu\blacktriangleleft +\mkern.4mu}\dhblack\uhblack\newarrowtail{littleblack}{\scriptaxis +\blacktriangleright\mkern-2mu}{\mkern-1mu\scriptaxis\blacktriangleleft}% +\dhlblack\uhlblack + +%% LaTeX tails +\def\rtla{\hbox{\setbox0=\lnchar55\dimen0=\wd0\kern-.5\dimen0\ht0\z@\raise +\axisheight\box0\kern-.2\dimen0}}%% +\def\ltla{\hbox{\setbox0=\lnchar33\dimen0=\wd0\kern-.15\dimen0\ht0\z@\raise +\axisheight\box0\kern-.5\dimen0}}%% +\def\dtla{\vbox{\setbox0=\rlap{\lnchar77}\dimen0=\ht0\kern-.7\dimen0\box0% +\kern-.1\dimen0}}%% 15.1.93 from -.6 +\def\utla{\vbox{\setbox0=\rlap{\lnchar66}\dimen0=\ht0\kern-.1\dimen0\box0% +\kern-.6\dimen0}}%% +\newarrowtail{LaTeX}\rtla\ltla\dtla\utla + +%% double vee tail %% will probably be withdrawn later +\def\rtvvee{\gg\mkern-3mu}%% +\def\ltvvee{\mkern-3mu\ll}%% +\def\dtvvee{\vbox{\hbox{$\vee$}\kern-.6ex \hbox{$\vee$}\vss}}%% +\def\utvvee{\vbox{\vss\hbox{$\wedge$}\kern-.6ex \hbox{$\wedge$}\kern\z@}}%% +\newarrowtail{doublevee}\rtvvee\ltvvee\dtvvee\utvvee + +%% double LaTeX tails %% will probably be withdrawn later +\def\ltlala{\ltla\kern.3em\ltla}%% +\def\rtlala{\rtla\kern.3em\rtla}%% +\def\utlala{\hbox{\utla\raise-.6ex\utla}}%% +\def\dtlala{\hbox{\dtla\lower-.6ex\dtla}}%% +\newarrowtail{doubleLaTeX}\rtlala\ltlala\dtlala\utlala + +%% bar (as in \mapsto) +\def\utbar{\vrule height 0.093ex depth0pt width 0.4em}%% +\let\dtbar\utbar%% +\def\rtbar{\mkern1.5mu\vrule height 1.1ex depth.06ex width .04em\mkern1.5mu}% +%% +\let\ltbar\rtbar%% +\newarrowtail{mapsto}\rtbar\ltbar\dtbar\utbar%% +\newarrowtail{|}\rtbar\ltbar\dtbar\utbar%%ascii vertical bar (|) + +%% hooks (as in \into): choice of after/above and before/below + +\def\rthooka{\raisehook{}+\subset\mkern-1mu}%% +\def\lthooka{\mkern-1mu\raisehook{}+\supset}%% +\def\rthookb{\raisehook{}-\subset\mkern-2mu}%% +\def\lthookb{\mkern-1mu\raisehook{}-\supset}%% + +\def\dthooka{\shifthook{}+\cap}%% +\def\dthookb{\shifthook{}-\cap}%% +\def\uthooka{\shifthook{}+\cup}%% +\def\uthookb{\shifthook{}-\cup}%% + +\newarrowtail{hooka}\rthooka\lthooka\dthooka\uthooka\newarrowtail{hookb}% +\rthookb\lthookb\dthookb\uthookb + +\ifx\boldmath\CD@qK\newarrowtail{boldhooka}\rthooka\lthooka\dthooka\uthooka +\newarrowtail{boldhookb}\rthookb\lthookb\dthookb\uthookb\newarrowtail{% +boldhook}\rthooka\lthooka\dthookb\uthooka\else\def\rtbhooka{\raisehook +\boldmath+\subset\mkern-1mu}%% +\def\ltbhooka{\mkern-1mu\raisehook\boldmath+\supset}%% +\def\rtbhookb{\raisehook\boldmath-\subset\mkern-2mu}%% +\def\ltbhookb{\mkern-1mu\raisehook\boldmath-\supset}%% +\def\dtbhooka{\shifthook\boldmath+\cap}%% +\def\dtbhookb{\shifthook\boldmath-\cap}%% +\def\utbhooka{\shifthook\boldmath+\cup}%% +\def\utbhookb{\shifthook\boldmath-\cup}%% +\newarrowtail{boldhooka}\rtbhooka\ltbhooka\dtbhooka\utbhooka\newarrowtail{% +boldhookb}\rtbhookb\ltbhookb\dtbhookb\utbhookb\newarrowtail{boldhook}% +\rtbhooka\ltbhooka\dtbhooka\utbhooka\fi + +%% square-ended hooks (used for closed subsets in ``lifting and gluing'') +\def\dtsqhooka{\shifthook{}+\sqcap}%% +\def\dtsqhookb{\shifthook{}-\sqcap}%% +\def\ltsqhooka{\mkern-1mu\raisehook{}+\sqsupset}%% +\def\ltsqhookb{\mkern-1mu\raisehook{}-\sqsupset}%% +\def\rtsqhooka{\raisehook{}+\sqsubset\mkern-1mu}%% +\def\rtsqhookb{\raisehook{}-\sqsubset\mkern-2mu}%% +\def\utsqhooka{\shifthook{}+\sqcup}%% +\def\utsqhookb{\shifthook{}-\sqcup}%% +\newarrowtail{sqhook}\rtsqhooka\ltsqhooka\dtsqhooka\utsqhooka + +%% the following seem the better choices at 10pt & 300dpi +\newarrowtail{hook}\rthooka\lthookb\dthooka\uthooka\newarrowtail{C}\rthooka +\lthookb\dthooka\uthooka + +%% circles +\newarrowtail{o}\hho\hho\circ\circ%% +\newarrowtail{O}\hhO\hhO{\scriptstyle\bigcirc}{\scriptstyle\bigcirc}%% + +%% crosses +\newarrowtail{X}\lhtimes\rhtimes\uhtimes\dhtimes\newarrowtail+++++ + +%% empty tail {} is also available + +%% Y from stmaryrd (vertical ones still need adjustment) +\newarrowtail{Y}\Yright\Yleft\Yup\Ydown + +%% harpoon with shaft (trailing up/left can be changed to down/right) +\newarrowtail{harpoon}\leftharpoondown\rightharpoondown\upharpoonright +\downharpoonright + +%% ********** F I L L E R S *********** + +%% shortening is up to 0.15em=2.7mu horiz and 0.35ex vertically at each end. + +%% dot {.}, single rule {-} and empty {} fillers are also available + +%% double and triple lines +%%\newarrowfiller{=}==\Vert\Vert%% +\newarrowfiller{=}=={\@cmex77}{\@cmex77}%% 16.1.93 +\def\vfthree{\mid\!\!\!\mid\!\!\!\mid}%%ascii +\newarrowfiller{3}\equiv\equiv\vfthree\vfthree + +%% dashed line +\def\vfdashstrut{\vrule width0pt height1.3ex depth0.7ex}%% +\def\vfthedash{\vrule width\CD@LF height0.6ex depth 0pt}%% +\def\hfthedash{\CD@AJ\vrule\horizhtdp width 0.26em}%% +\def\hfdash{\mkern5.5mu\hfthedash\mkern5.5mu}%% +\def\vfdash{\vfdashstrut\vfthedash}%% +\newarrowfiller{dash}\hfdash\hfdash\vfdash\vfdash + +%% ************* M I D D L E S ************ + +%% plus +\newarrowmiddle+++++ + +%% ************* D I A G O N A L S ************ + +%% simple arrow heads +%%\def\nwhTO{\nwarrow\mkern-1mu}%% +%%\def\nehTO{\mkern-.1mu\nearrow}%% +%%\def\sehTO{\searrow\mkern-.02mu}%% +%%\def\swhTO{\mkern-.8mu\swarrow}%% + +%%======================================================================% +%% % +%% (24) ARROW COMMANDS % +%% % +%%======================================================================% + +%% change to \iftrue to get mixed heads +\iffalse%% +\newarrow{To}----{vee}%% +\newarrow{Arr}----{LaTeX}%% +\newarrow{Dotsto}....{vee}%% +\newarrow{Dotsarr}....{LaTeX}%% +\newarrow{Dashto}{}{dash}{}{dash}{vee}%% +\newarrow{Dasharr}{}{dash}{}{dash}{LaTeX}%% +\newarrow{Mapsto}{mapsto}---{vee}%% +\newarrow{Mapsarr}{mapsto}---{LaTeX}%% +\newarrow{IntoA}{hooka}---{vee}%% +\newarrow{IntoB}{hookb}---{vee}%% +\newarrow{Embed}{vee}---{vee}%% +\newarrow{Emarr}{LaTeX}---{LaTeX}%% +\newarrow{Onto}----{doublevee}%% +\newarrow{Dotsonarr}....{doubleLaTeX}%% +\newarrow{Dotsonto}....{doublevee}%% +\newarrow{Dotsonarr}....{doubleLaTeX}%% +\else%% +\newarrow{To}---->%% +\newarrow{Arr}---->%% +\newarrow{Dotsto}....>%% +\newarrow{Dotsarr}....>%% +\newarrow{Dashto}{}{dash}{}{dash}>%% +\newarrow{Dasharr}{}{dash}{}{dash}>%% +\newarrow{Mapsto}{mapsto}--->%% +\newarrow{Mapsarr}{mapsto}--->%% +\newarrow{IntoA}{hooka}--->%% +\newarrow{IntoB}{hookb}--->%% +\newarrow{Embed}>--->%% +\newarrow{Emarr}>--->%% +\newarrow{Onto}----{>>}%% +\newarrow{Dotsonarr}....{>>}%% +\newarrow{Dotsonto}....{>>}%% +\newarrow{Dotsonarr}....{>>}%% +\fi%% + +\newarrow{Implies}===={=>}%% minimum cell height 9.5pt +\newarrow{Project}----{triangle}%% +\newarrow{Pto}----{harpoon}%% partial function +\newarrow{Relto}{harpoon}---{harpoon}%% binary relation + +\newarrow{Eq}=====%% +\newarrow{Line}-----%% +\newarrow{Dots}.....%% +\newarrow{Dashes}{}{dash}{}{dash}{}%% + +%% square hooked arrow (used in my ``gluing and lifting'' paper) +\newarrow{SquareInto}{sqhook}---> + +%% braces and parentheses +%% \newarrow gives inappropriate directions, so we change the names +%% the vertical filler is too far to the right; horizontal too high +%% the vertical middles are too low with midvshaft +%% maybe we'll add square brackets and the integral sign one day +\newarrowhead{cmexbra}{\@cmex7B}{\@cmex7C}{\@cmex3B}{\@cmex38}%% +\newarrowtail{cmexbra}{\@cmex7A}{\@cmex7D}{\@cmex39}{\@cmex3A}%% +\newarrowmiddle{cmexbra}{\braceru\bracelu}{\bracerd\braceld}{\vcenter{% +\hbox@maths{\@cmex3D\mkern-2mu}}}%% right +{\vcenter{\hbox@maths{\mkern2mu\@cmex3C}}}%% left +\newarrow{@brace}{cmexbra}-{cmexbra}-{cmexbra}%% braces +\newarrow{@parenth}{cmexbra}---{cmexbra}%% straight parentheses +\def\rightBrace{\d@brace[thick,cmex]}%%ASCII square brackets [] +\def\leftBrace{\u@brace[thick,cmex]}%%ASCII square brackets [] +\def\upperBrace{\r@brace[thick,cmex]}%%ASCII square brackets [] +\def\lowerBrace{\l@brace[thick,cmex]}%%ASCII square brackets [] +\def\rightParenth{\d@parenth[thick,cmex]}%%ASCII square brackets [] +\def\leftParenth{\u@parenth[thick,cmex]}%%ASCII square brackets [] +\def\upperParenth{\r@parenth[thick,cmex]}%%ASCII square brackets [] +\def\lowerParenth{\l@parenth[thick,cmex]}%%ASCII square brackets [] + +%% synonyms for reverse compatibility + +\let\uFrom\uTo%% +\let\lFrom\lTo%% +\let\uDotsfrom\uDotsto%% +\let\lDotsfrom\lDotsto%% +\let\uDashfrom\uDashto%% +\let\lDashfrom\lDashto%% +\let\uImpliedby\uImplies%% +\let\lImpliedby\lImplies%% +\let\uMapsfrom\uMapsto%% +\let\lMapsfrom\lMapsto%% +\let\lOnfrom\lOnto%% +\let\uOnfrom\uOnto%% +\let\lPfrom\lPto%% +\let\uPfrom\uPto%% + +\let\uInfromA\uIntoA%% +\let\uInfromB\uIntoB%% +\let\lInfromA\lIntoA%% +\let\lInfromB\lIntoB%% +\let\rInto\rIntoA%% +\let\lInto\lIntoA%% +\let\dInto\dIntoB%% +\let\uInto\uIntoA%% +\let\ruInto\ruIntoA%% +\let\luInto\luIntoA%% +\let\rdInto\rdIntoA%% +\let\ldInto\ldIntoA%% +%% +\let\hEq\rEq%% +\let\vEq\uEq%% +\let\hLine\rLine%% +\let\vLine\uLine%% +\let\hDots\rDots%% +\let\vDots\uDots%% +\let\hDashes\rDashes%% +\let\vDashes\uDashes%% + +%%=========================================================================% +%% The following are included for reverse compatibility only. +%%=========================================================================% +\let\NW\luTo\let\NE\ruTo\let\SW\ldTo\let\SE\rdTo\def\nNW{\luTo(2,3)}\def\nNE{% +\ruTo(2,3)}%%ascii +\def\sSW{\ldTo(2,3)}\def\sSE{\rdTo(2,3)}%%ascii +\def\wNW{\luTo(3,2)}\def\eNE{\ruTo(3,2)}%%ascii +\def\wSW{\ldTo(3,2)}\def\eSE{\rdTo(3,2)}%%ascii +\def\NNW{\luTo(2,4)}\def\NNE{\ruTo(2,4)}%%ascii +\def\SSW{\ldTo(2,4)}\def\SSE{\rdTo(2,4)}%%ascii +\def\WNW{\luTo(4,2)}\def\ENE{\ruTo(4,2)}%%ascii +\def\WSW{\ldTo(4,2)}\def\ESE{\rdTo(4,2)}%%ascii +\def\NNNW{\luTo(2,6)}\def\NNNE{\ruTo(2,6)}%%ascii +\def\SSSW{\ldTo(2,6)}\def\SSSE{\rdTo(2,6)}%%ascii +\def\WWNW{\luTo(6,2)}\def\EENE{\ruTo(6,2)}%%ascii +\def\WWSW{\ldTo(6,2)}\def\EESE{\rdTo(6,2)}%%ascii + +\let\NWd\luDotsto\let\NEd\ruDotsto\let\SWd\ldDotsto\let\SEd\rdDotsto\def\nNWd +{\luDotsto(2,3)}\def\nNEd{\ruDotsto(2,3)}%%ascii +\def\sSWd{\ldDotsto(2,3)}\def\sSEd{\rdDotsto(2,3)}%%ascii +\def\wNWd{\luDotsto(3,2)}\def\eNEd{\ruDotsto(3,2)}%%ascii +\def\wSWd{\ldDotsto(3,2)}\def\eSEd{\rdDotsto(3,2)}%%ascii +\def\NNWd{\luDotsto(2,4)}\def\NNEd{\ruDotsto(2,4)}%%ascii +\def\SSWd{\ldDotsto(2,4)}\def\SSEd{\rdDotsto(2,4)}%%ascii +\def\WNWd{\luDotsto(4,2)}\def\ENEd{\ruDotsto(4,2)}%%ascii +\def\WSWd{\ldDotsto(4,2)}\def\ESEd{\rdDotsto(4,2)}%%ascii +\def\NNNWd{\luDotsto(2,6)}\def\NNNEd{\ruDotsto(2,6)}%%ascii +\def\SSSWd{\ldDotsto(2,6)}\def\SSSEd{\rdDotsto(2,6)}%%ascii +\def\WWNWd{\luDotsto(6,2)}\def\EENEd{\ruDotsto(6,2)}%%ascii +\def\WWSWd{\ldDotsto(6,2)}\def\EESEd{\rdDotsto(6,2)}%%ascii + +\let\NWl\luLine\let\NEl\ruLine\let\SWl\ldLine\let\SEl\rdLine\def\nNWl{\luLine +(2,3)}\def\nNEl{\ruLine(2,3)}%%ascii +\def\sSWl{\ldLine(2,3)}\def\sSEl{\rdLine(2,3)}%%ascii +\def\wNWl{\luLine(3,2)}\def\eNEl{\ruLine(3,2)}%%ascii +\def\wSWl{\ldLine(3,2)}\def\eSEl{\rdLine(3,2)}%%ascii +\def\NNWl{\luLine(2,4)}\def\NNEl{\ruLine(2,4)}%%ascii +\def\SSWl{\ldLine(2,4)}\def\SSEl{\rdLine(2,4)}%%ascii +\def\WNWl{\luLine(4,2)}\def\ENEl{\ruLine(4,2)}%%ascii +\def\WSWl{\ldLine(4,2)}\def\ESEl{\rdLine(4,2)}%%ascii +\def\NNNWl{\luLine(2,6)}\def\NNNEl{\ruLine(2,6)}%%ascii +\def\SSSWl{\ldLine(2,6)}\def\SSSEl{\rdLine(2,6)}%%ascii +\def\WWNWl{\luLine(6,2)}\def\EENEl{\ruLine(6,2)}%%ascii +\def\WWSWl{\ldLine(6,2)}\def\EESEl{\rdLine(6,2)}%%ascii + +\let\NWld\luDots\let\NEld\ruDots\let\SWld\ldDots\let\SEld\rdDots\def\nNWld{% +\luDots(2,3)}\def\nNEld{\ruDots(2,3)}%%ascii +\def\sSWld{\ldDots(2,3)}\def\sSEld{\rdDots(2,3)}%%ascii +\def\wNWld{\luDots(3,2)}\def\eNEld{\ruDots(3,2)}%%ascii +\def\wSWld{\ldDots(3,2)}\def\eSEld{\rdDots(3,2)}%%ascii +\def\NNWld{\luDots(2,4)}\def\NNEld{\ruDots(2,4)}%%ascii +\def\SSWld{\ldDots(2,4)}\def\SSEld{\rdDots(2,4)}%%ascii +\def\WNWld{\luDots(4,2)}\def\ENEld{\ruDots(4,2)}%%ascii +\def\WSWld{\ldDots(4,2)}\def\ESEld{\rdDots(4,2)}%%ascii +\def\NNNWld{\luDots(2,6)}\def\NNNEld{\ruDots(2,6)}%%ascii +\def\SSSWld{\ldDots(2,6)}\def\SSSEld{\rdDots(2,6)}%%ascii +\def\WWNWld{\luDots(6,2)}\def\EENEld{\ruDots(6,2)}%%ascii +\def\WWSWld{\ldDots(6,2)}\def\EESEld{\rdDots(6,2)}%%ascii + +\let\NWe\luEmbed\let\NEe\ruEmbed\let\SWe\ldEmbed\let\SEe\rdEmbed\def\nNWe{% +\luEmbed(2,3)}\def\nNEe{\ruEmbed(2,3)}%%ascii +\def\sSWe{\ldEmbed(2,3)}\def\sSEe{\rdEmbed(2,3)}%%ascii +\def\wNWe{\luEmbed(3,2)}\def\eNEe{\ruEmbed(3,2)}%%ascii +\def\wSWe{\ldEmbed(3,2)}\def\eSEe{\rdEmbed(3,2)}%%ascii +\def\NNWe{\luEmbed(2,4)}\def\NNEe{\ruEmbed(2,4)}%%ascii +\def\SSWe{\ldEmbed(2,4)}\def\SSEe{\rdEmbed(2,4)}%%ascii +\def\WNWe{\luEmbed(4,2)}\def\ENEe{\ruEmbed(4,2)}%%ascii +\def\WSWe{\ldEmbed(4,2)}\def\ESEe{\rdEmbed(4,2)}%%ascii +\def\NNNWe{\luEmbed(2,6)}\def\NNNEe{\ruEmbed(2,6)}%%ascii +\def\SSSWe{\ldEmbed(2,6)}\def\SSSEe{\rdEmbed(2,6)}%%ascii +\def\WWNWe{\luEmbed(6,2)}\def\EENEe{\ruEmbed(6,2)}%%ascii +\def\WWSWe{\ldEmbed(6,2)}\def\EESEe{\rdEmbed(6,2)}%%ascii + +\let\NWo\luOnto\let\NEo\ruOnto\let\SWo\ldOnto\let\SEo\rdOnto\def\nNWo{\luOnto +(2,3)}\def\nNEo{\ruOnto(2,3)}%%ascii +\def\sSWo{\ldOnto(2,3)}\def\sSEo{\rdOnto(2,3)}%%ascii +\def\wNWo{\luOnto(3,2)}\def\eNEo{\ruOnto(3,2)}%%ascii +\def\wSWo{\ldOnto(3,2)}\def\eSEo{\rdOnto(3,2)}%%ascii +\def\NNWo{\luOnto(2,4)}\def\NNEo{\ruOnto(2,4)}%%ascii +\def\SSWo{\ldOnto(2,4)}\def\SSEo{\rdOnto(2,4)}%%ascii +\def\WNWo{\luOnto(4,2)}\def\ENEo{\ruOnto(4,2)}%%ascii +\def\WSWo{\ldOnto(4,2)}\def\ESEo{\rdOnto(4,2)}%%ascii +\def\NNNWo{\luOnto(2,6)}\def\NNNEo{\ruOnto(2,6)}%%ascii +\def\SSSWo{\ldOnto(2,6)}\def\SSSEo{\rdOnto(2,6)}%%ascii +\def\WWNWo{\luOnto(6,2)}\def\EENEo{\ruOnto(6,2)}%%ascii +\def\WWSWo{\ldOnto(6,2)}\def\EESEo{\rdOnto(6,2)}%%ascii + +\let\NWod\luDotsonto\let\NEod\ruDotsonto\let\SWod\ldDotsonto\let\SEod +\rdDotsonto\def\nNWod{\luDotsonto(2,3)}\def\nNEod{\ruDotsonto(2,3)}%%ascii +\def\sSWod{\ldDotsonto(2,3)}\def\sSEod{\rdDotsonto(2,3)}%%ascii +\def\wNWod{\luDotsonto(3,2)}\def\eNEod{\ruDotsonto(3,2)}%%ascii +\def\wSWod{\ldDotsonto(3,2)}\def\eSEod{\rdDotsonto(3,2)}%%ascii +\def\NNWod{\luDotsonto(2,4)}\def\NNEod{\ruDotsonto(2,4)}%%ascii +\def\SSWod{\ldDotsonto(2,4)}\def\SSEod{\rdDotsonto(2,4)}%%ascii +\def\WNWod{\luDotsonto(4,2)}\def\ENEod{\ruDotsonto(4,2)}%%ascii +\def\WSWod{\ldDotsonto(4,2)}\def\ESEod{\rdDotsonto(4,2)}%%ascii +\def\NNNWod{\luDotsonto(2,6)}\def\NNNEod{\ruDotsonto(2,6)}%%ascii +\def\SSSWod{\ldDotsonto(2,6)}\def\SSSEod{\rdDotsonto(2,6)}%%ascii +\def\WWNWod{\luDotsonto(6,2)}\def\EENEod{\ruDotsonto(6,2)}%%ascii +\def\WWSWod{\ldDotsonto(6,2)}\def\EESEod{\rdDotsonto(6,2)}%%ascii + +%%======================================================================% +%% % +%% (25) MISCELLANEOUS % +%% % +%%======================================================================% + +\def\labelstyle{%% +\ifincommdiag%% +\textstyle%% +\else%% +\scriptstyle%% +\fi}%% +\let\objectstyle\displaystyle + +\newdiagramgrid{pentagon}{0.618034,0.618034,1,1,1,1,0.618034,0.618034}{1.% +17557,1.17557,1.902113,1.902113} + +\newdiagramgrid{perspective}{0.75,0.75,1.1,1.1,0.9,0.9,0.95,0.95,0.75,0.75}{0% +.75,0.75,1.1,1.1,0.9,0.9} + +\diagramstyle[%%ascii open square bracket +dpi=300,%% office laserwriters are usually 300 dots per inch +vmiddle,nobalance,%% vertical and horizontal positioning +loose,%% allow rows and columns to stretch +thin,%% line10 arrows; default rule thickness (TeXbook p447) +pilespacing=10pt,% +%% parallel vertical separation (horizontals: half this) +shortfall=4pt,%% distance between arrowheads and their targets +%% The following are defaulted on entry to the diagram itself. +%% l>=2em minimum length of horizontal arrow shafts in text +%% l>=1em ditto in diagrams +%% size=3em cell size +%% heads=LaTeX arrowheads +]%%ascii close square bracket + +%% process options to LaTeX2e's \usepackage[options]{diagrams} +\ifx\ProcessOptions\CD@qK\else\CD@PK\ProcessOptions\relax\CD@FF\CD@e\fi\fi + +%%============================== THE END ==================================== +\CD@vE\message{| >>>>>>>> POSTSCRIPT MODE (DVIPS) IS NOW THE DEFAULT <<<<<<<<% +<<<<|}\message{|(DVI mode has not been supported since 1992 and produces +inferior|}\message{|results which are completely unsuitable for publication. +However,|}\message{|if you really still need it, you can still get it by +loading the |}\message{|package using ``\string\usepackage[UglyObsolete]{% +diagrams}'' instead. ) |}\else\message{| >>>>>>>> USING UGLY OBSOLETE DVI CODE +- PLEASE STOP <<<<<<<<<<<<|}\message{|(DVI mode has not been supported since +1992 and produces inferior|}\message{|results which are completely unsuitable +for publication - Please |}\message{|use the PostScript or PDF mode instead, +for much better results.)|}\fi\cdrestoreat +%% restore old category code for @ etc +\message{===================================================================}% +%% This is the end of Paul Taylor's commutative diagrams package. + |