\catcode`\@=11 \def\Cgaps#1{\RIfM@ \standardcgap#1\standardcgap\relax\hunit#1\hunit\relax \else\nonmatherr@\Cgaps\fi} \def\Rgaps#1{\RIfM@ \standardrgap#1\standardrgap\relax\vunit#1\vunit\relax \else\nonmatherr@\Rgaps\fi} \def\getcgap@#1{\ifcase#1\or\getdim@\z@\else\getdim@\standardcgap\fi} \def\getrgap@#1{\ifcase#1\getdim@\z@\else\getdim@\standardrgap\fi} {\catcode`\;=\active \gdef\cgaps#1{\RIfM@{\ifnum\catcode`\;=\active\def;{\string;}\fi \xdef\Next@{\noexpand\cgaps@{#1}}}% \Next@\edef\getcgap@##1{\i@##1\relax\the\toks@}\toks@{}\else \nonmatherr@\cgaps\fi} \gdef\rgaps#1{\RIfM@{\ifnum\catcode`\;=\active\def;{\string;}\fi \xdef\Next@{\noexpand\rgaps@{#1}}}% \Next@\edef\getrgap@##1{\i@##1\relax\the\toks@}\toks@{}\else \nonmatherr@\rgaps\fi} } \def\Gaps@@{\gaps@@} \def\cgaps@#1{\toks@{\ifcase\i@\or\getdim@=\z@}% \gaps@@\standardcgap#1;\gaps@@\gaps@@ \edef\next@{\the\toks@\noexpand\else\noexpand\getdim@\noexpand\standardcgap \noexpand\fi}% \toks@=\expandafter{\next@}} \def\rgaps@#1{\toks@{\ifcase\i@\getdim@=\z@}% \gaps@@\standardrgap#1;\gaps@@\gaps@@ \edef\next@{\the\toks@\noexpand\else\noexpand\getdim@\noexpand\standardrgap \noexpand\fi}% \toks@=\expandafter{\next@}} \def\gaps@@#1#2;#3{\mgaps@#1#2\mgaps@ \edef\next@{\the\toks@\noexpand\or\noexpand\getdim@ \noexpand#1\the\mgapstoks@@}% \toks@\expandafter{\next@}% \DN@{#3}% \ifx\next@\Gaps@@\def\next@##1\gaps@@{}\else \def\next@{\gaps@@#1#3}\fi\next@} \def\mgaps@#1{\let\mgapsnext@#1\FNSS@\mgaps@@} \def\mgaps@@{\ifx\next\w\expandafter\mgaps@@@\else \expandafter\mgaps@@@@\fi} \def\mgaps@@@@#1\mgaps@{\getdim@\mgapsnext@\getdim@#1\getdim@ \edef\next@{\noexpand\getdim@\the\getdim@}% \mgapstoks@@\expandafter{\next@}} \def\mgaps@@@\w#1#2\mgaps@{\mgaps@@@@#2\mgaps@ \setbox\ZER@\hbox{$\m@th\hskip15\p@\tsize@#1$}% \dimen@\wd\ZER@ \ifdim\dimen@>\getdim@\getdim@\dimen@\fi \edef\next@{\noexpand\getdim@\the\getdim@}% \mgapstoks@@\expandafter{\next@}} \def\changewidth#1#2{\setbox\ZER@{$\m@th#2}% \hbox to\wd\ZER@{\hss$\m@th#1$\hss}} \def\ARROW@{\ifx\next)\let\next@\OPTIONS@\else \DN@{\csname\string @(\endcsname}\fi\next@} \def\OPTIONS@){\ifoptions@\let\next@\relax\else \DN@{\global\options@true\begingroup\optioncodes@}\fi\next@} \expandafter\def\csname\string @(\endcsname #1,#2){% \ifoptions@\expandafter\endgroup\fi \N@false\E@false\H@false\V@false\Hshort@false \ifnum#1>\z@\E@true\fi \ifnum#1=\z@\V@true\global\tX@false\global\tY@false\global\a@false\fi \ifnum#2>\z@\N@true\fi \ifnum#2=\z@\H@true\global\tX@false\global\tY@false\global\a@false \ifshort@\Hshort@true\fi\fi \NESW@false \ifN@\ifE@\NESW@true\fi\else\ifE@\else\NESW@true\fi\fi \arrow@{#1}{#2}% \global\options@false \global\scount@\z@\global\tcount@\z@\global\arrcount@\z@ \global\s@false\global\sxdimen@\z@\global\sydimen@\z@ \global\tX@false\global\tXdimen@i\z@\global\tXdimen@ii\z@ \global\tY@false\global\tYdimen@i\z@\global\tYdimen@ii\z@ \global\a@false\global\exacount@\z@ \global\x@false\global\xdimen@\z@ \global\X@false\global\Xdimen@\z@ \global\y@false\global\ydimen@\z@ \global\Y@false\global\Ydimen@\z@ \global\p@false\global\pdimen@\z@ \global\label@ifalse\global\label@iifalse \global\dl@ifalse\global\ldimen@i\z@ \global\dl@iifalse\global\ldimen@ii\z@ \global\short@false\global\unshort@false} \def\zero@#1{\ifnum\scount@=\z@ \if#1e\global\scount@\m@ne\else \if#1t\global\scount@\tw@\else \if#1h\global\scount@\thr@@\else \if#1'\global\scount@6 \else \if#1`\global\scount@7 \else \if#1(\global\scount@8 \else \if#1)\global\scount@9 \else \if#1s\global\scount@12 \else \if#1H\global\scount@13 \else \Err@{\Invalid@@ option \string\0}\fi\fi\fi\fi\fi\fi\fi\fi\fi \fi} \def\one@#1{\ifnum\tcount@=\z@ \if#1e\global\tcount@\m@ne\else \if#1h\global\tcount@\tw@\else \if#1t\global\tcount@\thr@@\else \if#1'\global\tcount@4 \else \if#1`\global\tcount@5 \else \if#1(\global\tcount@\ten@ \else \if#1)\global\tcount@11 \else \if#1s\global\tcount@12 \else \if#1H\global\tcount@13 \else \Err@{\Invalid@@ option \string\1}\fi\fi\fi\fi\fi\fi\fi\fi\fi \fi} \def\a@#1{\ifnum\arrcount@=\z@ \if#10\global\arrcount@\m@ne\else \if#1+\global\arrcount@\@ne\else \if#1-\global\arrcount@\tw@\else \if#1=\global\arrcount@\thr@@\else \Err@{\Invalid@@ option \string\a}\fi\fi\fi\fi \fi} \def\ds@{\ifnum\catcode`\;=\active\expandafter\dsA@\else \expandafter\dsO@\fi} \def\dsO@(#1;#2){\ds@@{#1}{#2}} \def\ds@@#1#2{\ifs@\else \global\s@true \global\sxdimen@\hunit\global\sxdimen@#1\sxdimen@\relax \global\sydimen@\vunit\global\sydimen@#2\sydimen@\relax \fi} \def\dtX@{\ifnum\catcode`\;=\active\expandafter\dtXA@\else \expandafter\dtXO@\fi} \def\dtXO@(#1;#2){\dtX@@{#1}{#2}} \def\dtX@@#1#2{\iftX@\else \global\tX@true \global\tXdimen@i\hunit\global\tXdimen@i#1\tXdimen@i\relax \global\tXdimen@ii\vunit\global\tXdimen@ii#2\tXdimen@ii\relax \fi} \def\dtY@{\ifnum\catcode`\;=\active\expandafter\dtYA@\else \expandafter\dtYO@\fi} \def\dtYO@(#1;#2){\dtY@@{#1}{#2}} \def\dtY@@#1#2{\iftY@\else \global\tY@true \global\tYdimen@i\hunit\global\tYdimen@i#1\tYdimen@i\relax \global\tYdimen@ii\vunit\global\tYdimen@ii#2\tYdimen@ii\relax \fi} {\catcode`\;=\active \gdef\dsA@(#1;#2){\ds@@{#1}{#2}} \gdef\dtXA@(#1;#2){\dtX@@{#1}{#2}} \gdef\dtYA@(#1;#2){\dtY@@{#1}{#2}} } \def\da@#1{\ifa@\else\global\a@true\global\exacount@#1\relax\fi} \def\dx@#1{\ifx@\else \global\x@true \global\xdimen@\hunit\global\xdimen@#1\xdimen@\relax \fi} \def\dX@#1{\ifX@\else \global\X@true \global\Xdimen@\hunit\global\Xdimen@#1\Xdimen@\relax \fi} \def\dy@#1{\ify@\else \global\y@true \global\ydimen@\vunit\global\ydimen@#1\ydimen@\relax \fi} \def\dY@#1{\ifY@\else \global\Y@true \global\Ydimen@\vunit\global\Ydimen@#1\Ydimen@\relax \fi} \def\p@@#1{\ifp@\else \global\p@true \global\pdimen@\hunit\global\divide\pdimen@\tw@ \global\pdimen@#1\pdimen@\relax \fi} \def\L@#1{\iflabel@i\else \global\label@itrue\gdef\label@i{#1}% \fi} \def\l@#1{\iflabel@ii\else \global\label@iitrue\gdef\label@ii{#1}% \fi} \def\dL@#1{\ifdl@i\else \global\dl@itrue\global\ldimen@i\hunit\global\ldimen@i#1\ldimen@i\relax \fi} \def\dl@#1{\ifdl@ii\else \global\dl@iitrue\global\ldimen@ii\hunit\global\ldimen@ii#1\ldimen@ii\relax \fi} \def\s@{\ifunshort@\else\global\short@true\fi} \def\uns@{\ifshort@\else\global\unshort@true\global\short@false\fi} \def\optioncodes@{\let\0\zero@\let\1\one@\let\a\a@\let\ds\ds@\let\dtX\dtX@ \let\dtY\dtY@\let\da\da@\let\dx\dx@\let\dX\dX@\let\dY\dY@\let\dy\dy@ \let\p\p@@\let\L\L@\let\l\l@\let\dL\dL@\let\dl\dl@\let\s\s@\let\uns\uns@} \def\slopes@{\\161\\152\\143\\134\\255\\126\\357\\238\\349\\45{10}\\56{11}% \\11{12}\\65{13}\\54{14}\\43{15}\\32{16}\\53{17}\\21{18}\\52{19}\\31{20}% \\41{21}\\51{22}\\61{23}} \def\slope@{{\slope@i\secondy@\advance\slope@i-\firsty@ \ifN@\else\multiply\slope@i\m@ne\fi \slope@ii\secondx@\advance\slope@ii-\firstx@ \ifE@\else\multiply\slope@ii\m@ne\fi \ifdim\slope@ii<\z@ \global\tan@i6 \global\tan@ii\@ne\global\angcount@23 \else \dimen@\slope@i\multiply\dimen@6 \ifdim\dimen@<\slope@ii \global\tan@i\@ne\global\tan@ii6 \global\angcount@\@ne \else \dimen@\slope@ii\multiply\dimen@6 \ifdim\dimen@<\slope@i \global\tan@i6 \global\tan@ii\@ne\global\angcount@23 \else \global\tan@ip\z@\global\tan@iip\@ne \def\\##1##2##3{\global\angcount@##3\relax \slope@ip\slope@i\slope@iip\slope@ii \multiply\slope@iip##1\relax\multiply\slope@ip##2\relax \ifdim\slope@iip<\slope@ip \global\tan@ip##1\relax\global\tan@iip##2\relax \else \global\tan@i##1\relax\global\tan@ii##2\relax \def\\####1####2####3{}% \fi}% \slopes@ \slope@i\secondy@\advance\slope@i-\firsty@ \ifN@\else\multiply\slope@i\m@ne\fi \multiply\slope@i\tan@ii\multiply\slope@i\tan@iip\multiply\slope@i\tw@ \count@\tan@i\multiply\count@\tan@iip \extracount@\tan@ip\multiply\extracount@\tan@ii \advance\count@\extracount@ \slope@ii\secondx@\advance\slope@ii-\firstx@ \ifE@\else\multiply\slope@ii\m@ne\fi \multiply\slope@ii\count@ \ifdim\slope@i<\slope@ii \global\tan@i\tan@ip\global\tan@ii\tan@iip \global\advance\angcount@\m@ne \fi \fi \fi \fi}% } \def\slope@a#1{{\def\\##1##2##3{\ifnum##3=#1\global\tan@i##1\relax \global\tan@ii##2\relax\fi}\slopes@}} \def\dotoks@i{% \global\widthtoks@\expandafter{\the\widthtoks@\else\getdim@\z@\fi}% \global\heighttoks@\expandafter{\the\heighttoks@\else\getdim@\z@\fi}% \global\depthtoks@\expandafter{\the\depthtoks@\else\getdim@\z@\fi}} \def\dotoks@ii{% \global\widthtoks@{\ifcase\j@}% \global\heighttoks@{\ifcase\j@}% \global\depthtoks@{\ifcase\j@}} \def\preCD@#1\endCD{\setbox\ZER@ \vbox{% \def\arrow@##1##2{{}}% \global\rowcount@\m@ne\global\colcount@\z@\global\Colcount@\z@ \global\firstCDcr@true\toks@{}% \global\widthtoks@{\ifcase\j@}% \global\Widthtoks@{\ifcase\i@}% \global\heighttoks@{\ifcase\j@}% \global\Heighttoks@{\ifcase\i@}% \global\depthtoks@{\ifcase\j@}% \global\Depthtoks@{\ifcase\i@}% \global\Rowheighttoks@{\ifcase\i@}% \global\Rowdepthtoks@{\ifcase\i@}% \Let@ \everycr{% \noalign{% \global\advance\rowcount@\@ne \ifnum\colcount@<\Colcount@ \else \global\Colcount@\colcount@\global\maxcolrow@\rowcount@ \fi \global\colcount@\z@ \iffirstCDcr@ \global\firstCDcr@false \else \edef\next@{\the\Rowheighttoks@\noexpand\or\noexpand\getdim@\the\rowht@}% \global\Rowheighttoks@\expandafter{\next@}% \edef\next@{\the\Rowdepthtoks@\noexpand\or\noexpand\getdim@\the\rowdp@}% \global\Rowdepthtoks@\expandafter{\next@}% \global\rowht@\z@\global\rowdp@\z@ \dotoks@i \edef\next@{\the\Widthtoks@\noexpand\or\the\widthtoks@}% \global\Widthtoks@\expandafter{\next@}% \edef\next@{\the\Heighttoks@\noexpand\or\the\heighttoks@}% \global\Heighttoks@\expandafter{\next@}% \edef\next@{\the\Depthtoks@\noexpand\or\the\depthtoks@}% \global\Depthtoks@\expandafter{\next@}% \dotoks@ii \fi}}% \tabskip\z@ \halign{&\setbox\ZER@\hbox{\vrule\height\ten@\p@\width\z@\depth\z@ %1 $\m@th\displaystyle{##}$}\copy\ZER@ \ifdim\ht\ZER@>\rowht@\global\rowht@\ht\ZER@\fi \ifdim\dp\ZER@>\rowdp@\global\rowdp@\dp\ZER@\fi \global\advance\colcount@\@ne \edef\next@{\the\widthtoks@\noexpand\or\noexpand\getdim@\the\wd\ZER@}% \global\widthtoks@\expandafter{\next@}% \edef\next@{\the\heighttoks@\noexpand\or\noexpand\getdim@\the\ht\ZER@}% \global\heighttoks@\expandafter{\next@}% \edef\next@{\the\depthtoks@\noexpand\or\noexpand\getdim@\the\dp\ZER@}% \global\depthtoks@\expandafter{\next@}% \cr#1\crcr}}% \Rowcount@\rowcount@ \global\Widthtoks@\expandafter{\the\Widthtoks@\fi\relax}% \edef\Width@##1##2{\i@##1\relax\j@##2\relax\the\Widthtoks@}% \global\Heighttoks@\expandafter{\the\Heighttoks@\fi\relax}% \edef\Height@##1##2{\i@##1\relax\j@##2\relax\the\Heighttoks@}% \global\Depthtoks@\expandafter{\the\Depthtoks@\fi\relax}% \edef\Depth@##1##2{\i@##1\relax\j@##2\relax\the\Depthtoks@}% \edef\next@{\the\Rowheighttoks@\noexpand\fi\relax}% \global\Rowheighttoks@\expandafter{\next@}% \edef\Rowheight@##1{\i@##1\relax\the\Rowheighttoks@}% \edef\next@{\the\Rowdepthtoks@\noexpand\fi\relax}% \global\Rowdepthtoks@\expandafter{\next@}% \edef\Rowdepth@##1{\i@##1\relax\the\Rowdepthtoks@}% \global\colwidthtoks@{\fi}% \setbox\ZER@\vbox{% \unvbox\ZER@ \count@\rowcount@ \loop \unskip\unpenalty \setbox\ZER@\lastbox \ifnum\count@>\maxcolrow@\advance\count@\m@ne \repeat \hbox{% \unhbox\ZER@ \count@\z@ \loop \unskip \setbox\ZER@\lastbox \edef\next@{\noexpand\or\noexpand\getdim@\the\wd\ZER@\the\colwidthtoks@}% \global\colwidthtoks@\expandafter{\next@}% \advance\count@\@ne \ifnum\count@<\Colcount@ \repeat}}% \edef\next@{\noexpand\ifcase\noexpand\i@\the\colwidthtoks@}% \global\colwidthtoks@\expandafter{\next@}% \edef\Colwidth@##1{\i@##1\relax\the\colwidthtoks@}% \global\colwidthtoks@{}\global\Rowheighttoks@{}\global\Rowdepthtoks@{}% \global\widthtoks@{}\global\Widthtoks@{}\global\heighttoks@{}% \global\Heighttoks@{}\global\depthtoks@{}\global\Depthtoks@{}% } \def\outside@{\Err@{This arrow points outside the \string\CD}} \def\arrow@#1#2{\global\xoff@#1\relax\global\yoff@#2\relax \count@\rowcount@\advance\count@-\yoff@ \ifnum\count@<\@ne\outside@\else\ifnum\count@>\Rowcount@\outside@\fi\fi \count@\colcount@\advance\count@\xoff@ \ifnum\count@<\@ne\outside@\else\ifnum\count@>\Colcount@\outside@\fi\fi \tcolcount@\colcount@\advance\tcolcount@\xoff@ \Width@\rowcount@\colcount@\divide\getdim@\tw@\tocenter@-\getdim@ \ifdim\getdim@=\z@ \firstx@\z@\firsty@\mathaxis@\svertex@true \else \svertex@false \ifHshort@ \Colwidth@\colcount@\divide\getdim@\tw@ \ifE@ \firstx@\getdim@ \else \firstx@-\getdim@ \fi \else \ifE@ \firstx@\getdim@ \else \firstx@-\getdim@ \fi \fi \ifE@ \ifH@ \advance\firstx@\thr@@\p@ \else \advance\firstx@-\thr@@\p@ \fi %2 \else \ifH@ \advance\firstx@-\thr@@\p@ \else \advance\firstx@\thr@@\p@ \fi %3 \fi \ifN@ \Height@\rowcount@\colcount@ \firsty@\getdim@ %4 \ifV@ \advance\firsty@\thr@@\p@ \fi %5 \else \ifV@ \Depth@\rowcount@\colcount@ \firsty@-\getdim@ %6 \advance\firsty@-\thr@@\p@ %7 \else \firsty@\z@ %8 \fi \fi \fi \ifV@ \else \Colwidth@\colcount@\divide\getdim@\tw@ \ifE@\secondx@\getdim@\else\secondx@-\getdim@\fi \ifE@\else\getcgap@\colcount@\advance\secondx@-\getdim@\fi \endcount@\colcount@\advance\endcount@\xoff@ \count@\colcount@ \ifE@ \advance\count@\@ne \loop \ifnum\count@<\endcount@ \Colwidth@\count@\advance\secondx@\getdim@ \getcgap@\count@\advance\secondx@\getdim@ \advance\count@\@ne \repeat \else \advance\count@\m@ne \loop \ifnum\count@>\endcount@ \Colwidth@\count@\advance\secondx@-\getdim@ \getcgap@\count@\advance\secondx@-\getdim@ \advance\count@\m@ne \repeat \fi \Colwidth@\count@\divide\getdim@\tw@ \ifHshort@ \else \ifE@\advance\secondx@\getdim@\else\advance\secondx@-\getdim@\fi \fi \ifE@\getcgap@\count@\advance\secondx@\getdim@\fi \rcount@\rowcount@\advance\rcount@-\yoff@ \Width@\rcount@\count@\divide\getdim@\tw@ \tvertex@false \ifH@\ifdim\getdim@=\z@\tvertex@true\Hshort@false\fi\fi \ifHshort@ \else \ifE@\advance\secondx@-\getdim@\else\advance\secondx@\getdim@\fi \fi \iftvertex@ \advance\secondx@.4\p@ \else \ifE@\advance\secondx@-\thr@@\p@\else\advance\secondx@\thr@@\p@\fi %9 \fi \fi \ifH@ \else \ifN@ \Rowheight@\rowcount@\secondy@\getdim@ \else \Rowdepth@\rowcount@\secondy@-\getdim@ \getrgap@\rowcount@\advance\secondy@-\getdim@ \fi \endcount@\rowcount@\advance\endcount@-\yoff@ \count@\rowcount@ \ifN@ \advance\count@\m@ne \loop \ifnum\count@>\endcount@ \Rowheight@\count@\advance\secondy@\getdim@ \Rowdepth@\count@\advance\secondy@\getdim@ \getrgap@\count@\advance\secondy@\getdim@ \advance\count@\m@ne \repeat \else \advance\count@\@ne \loop \ifnum\count@<\endcount@ \Rowheight@\count@\advance\secondy@-\getdim@ \Rowdepth@\count@\advance\secondy@-\getdim@ \getrgap@\count@\advance\secondy@-\getdim@ \advance\count@\@ne \repeat \fi \tvertex@false \ifV@\Width@\count@\colcount@\ifdim\getdim@=\z@\tvertex@true\fi\fi \ifN@ \getrgap@\count@\advance\secondy@\getdim@ \Rowdepth@\count@\advance\secondy@\getdim@ \iftvertex@ \advance\secondy@\mathaxis@ \else \Depth@\count@\tcolcount@\advance\secondy@-\getdim@ \advance\secondy@-\thr@@\p@ %10 \fi \else \Rowheight@\count@\advance\secondy@-\getdim@ \iftvertex@ \advance\secondy@\mathaxis@ \else \Height@\count@\tcolcount@\advance\secondy@\getdim@ \advance\secondy@\thr@@\p@ %11 \fi \fi \fi \ifV@\else\advance\firstx@\sxdimen@\fi \ifH@\else\advance\firsty@\sydimen@\fi \iftX@ \advance\secondy@\tXdimen@ii \advance\secondx@\tXdimen@i \slope@ \else \iftY@ \advance\secondy@\tYdimen@ii \advance\secondx@\tYdimen@i \slope@ \secondy@\secondx@\advance\secondy@-\firstx@ \ifNESW@\else\multiply\secondy@\m@ne\fi \multiply\secondy@\tan@i\divide\secondy@\tan@ii\advance\secondy@\firsty@ \else \ifa@ \slope@ \ifNESW@\global\advance\angcount@\exacount@\else \global\advance\angcount@-\exacount@\fi \ifnum\angcount@>23 \global\angcount@23 \fi \ifnum\angcount@<\@ne\global\angcount@\@ne\fi \slope@a\angcount@ \ifY@ \advance\secondy@\Ydimen@ \else \ifX@ \advance\secondx@\Xdimen@ \dimen@\secondx@\advance\dimen@-\firstx@ \ifNESW@\else\multiply\dimen@\m@ne\fi \multiply\dimen@\tan@i\divide\dimen@\tan@ii \advance\dimen@\firsty@\secondy@\dimen@ \fi \fi \else \ifH@\else\ifV@\else\slope@\fi\fi \fi \fi \fi \ifH@\else\ifV@\else\ifsvertex@\else \dimen@6\p@\multiply\dimen@\tan@ii \count@\tan@i\advance\count@\tan@ii\divide\dimen@\count@ \ifE@\advance\firstx@\dimen@\else\advance\firstx@-\dimen@\fi \multiply\dimen@\tan@i\divide\dimen@\tan@ii \ifN@\advance\firsty@\dimen@\else\advance\firsty@-\dimen@\fi \fi\fi\fi \ifp@ \ifH@\else\ifV@\else \getcos@\pdimen@\advance\firsty@\dimen@\advance\secondy@\dimen@ \ifNESW@\advance\firstx@-\dimen@ii\else\advance\firstx@\dimen@ii\fi \fi\fi \fi \ifH@\else\ifV@\else \ifnum\tan@i>\tan@ii \charht@\ten@\p@\charwd@\ten@\p@ \multiply\charwd@\tan@ii\divide\charwd@\tan@i \else \charwd@\ten@\p@\charht@\ten@\p@ \divide\charht@\tan@ii\multiply\charht@\tan@i \fi \ifnum\tcount@=\thr@@ \ifN@\advance\secondy@-.3\charht@\else\advance\secondy@.3\charht@\fi \fi \ifnum\scount@=\tw@ \ifE@\advance\firstx@.3\charht@\else\advance\firstx@-.3\charht@\fi \fi \ifnum\tcount@=12 \ifN@\advance\secondy@-\charht@\else\advance\secondy@\charht@\fi \fi \iftY@ \else \ifa@ \ifX@ \else \secondx@\secondy@\advance\secondx@-\firsty@ \ifNESW@\else\multiply\secondx@\m@ne\fi \multiply\secondx@\tan@ii\divide\secondx@\tan@i \advance\secondx@\firstx@ \fi \fi \fi \fi\fi \ifH@\harrow@\else\ifV@\varrow@\else\arrow@@\fi\fi} \def\harrow@b{\ifE@\hskip\tocenter@\hskip\firstx@\fi} \def\harrow@bb{\ifE@\hskip\xdimen@\else\hskip\Xdimen@\fi} \def\harrow@e{\ifE@\else\hskip-\firstx@\hskip-\tocenter@\fi} \def\harrow@ee{\ifE@\hskip-\Xdimen@\else\hskip-\xdimen@\fi} \def\harrow@{\dimen@\secondx@\advance\dimen@-\firstx@ \ifE@\let\next@\rlap\else\multiply\dimen@\m@ne\let\next@\llap\fi \next@{% \harrow@b \smash{\raise\pdimen@\hbox to\dimen@ {\harrow@bb\arrow@ii \ifnum\arrcount@=\m@ne\else\ifnum\arrcount@=\thr@@\else \ifE@ \ifnum\scount@=\m@ne \else \ifcase\scount@\or\or\char118 \or\char117 \or\or\or\char119 \or \char120 \or\char121 \or\char122 \or\or\or\arrow@i\char125 \or \char117 \hskip\thr@@\p@\char117 \hskip-\thr@@\p@\fi \fi \else \ifnum\tcount@=\m@ne \else \ifcase\tcount@\char117 \or\or\char117 \or\char118 \or\char119 \or \char120 \or\or\or\or\or\char121 \or\char122 \or\arrow@i\char125 \or\char117 \hskip\thr@@\p@\char117 \hskip-\thr@@\p@\fi \fi \fi \fi\fi \dimen@\mathaxis@\advance\dimen@.2\p@ \dimen@ii\mathaxis@\advance\dimen@ii-.2\p@ \ifnum\arrcount@=\m@ne \let\leads@\null \else \ifcase\arrcount@ \def\leads@{\hrule\height\dimen@\depth-\dimen@ii}\or \def\leads@{\hrule\height\dimen@\depth-\dimen@ii}\or \def\leads@{\hbox to\ten@\p@{% \leaders\hrule\height\dimen@\depth-\dimen@ii\hfil \hfil \leaders\hrule\height\dimen@\depth-\dimen@ii\hskip\z@ plus2fil\relax \hfil \leaders\hrule\height\dimen@\depth-\dimen@ii\hfil}}\or \def\leads@{\hbox{\hbox to\ten@\p@{\dimen@\mathaxis@\advance\dimen@1.2\p@ \dimen@ii\dimen@\advance\dimen@ii-.4\p@ \leaders\hrule\height\dimen@\depth-\dimen@ii\hfil}% \kern-\ten@\p@ \hbox to\ten@\p@{\dimen@\mathaxis@\advance\dimen@-1.2\p@ \dimen@ii\dimen@\advance\dimen@ii-.4\p@ \leaders\hrule\height\dimen@\depth-\dimen@ii\hfil}}}\fi \fi \cleaders\leads@\hfil \ifnum\arrcount@=\m@ne\else\ifnum\arrcount@=\thr@@\else \arrow@i \ifE@ \ifnum\tcount@=\m@ne \else \ifcase\tcount@\char119 \or\or\char119 \or\char120 \or\char121 \or \char122 \or \or\or\or\or\char123 \or\char124 \or \char125 \or\char119 \hskip-\thr@@\p@\char119 \hskip\thr@@\p@\fi \fi \else \ifcase\scount@\or\or\char120 \or\char119 \or\or\or\char121 \or\char122 \or\char123 \or\char124 \or\or\or\char125 \or \char119 \hskip-\thr@@\p@\char119 \hskip\thr@@\p@\fi \fi \fi\fi \harrow@ee}}% \harrow@e}% \iflabel@i \dimen@ii\z@\setbox\ZER@\hbox{$\m@th\tsize@@\label@i$}% \ifnum\arrcount@=\m@ne \else \advance\dimen@ii\mathaxis@ \advance\dimen@ii\dp\ZER@\advance\dimen@ii\tw@\p@ \ifnum\arrcount@=\thr@@\advance\dimen@ii\tw@\p@\fi \fi \advance\dimen@ii\pdimen@ \next@{\harrow@b\smash{\raise\dimen@ii\hbox to\dimen@ {\harrow@bb\hskip\tw@\ldimen@i\hfil\box\ZER@\hfil\harrow@ee}}\harrow@e}% \fi \iflabel@ii \ifnum\arrcount@=\m@ne \else \setbox\ZER@\hbox{$\m@th\tsize@\label@ii$}% \dimen@ii-\ht\ZER@\advance\dimen@ii-\tw@\p@ \ifnum\arrcount@=\thr@@\advance\dimen@ii-\tw@\p@\fi \advance\dimen@ii\mathaxis@\advance\dimen@ii\pdimen@ \next@{\harrow@b\smash{\raise\dimen@ii\hbox to\dimen@ {\harrow@bb\hskip\tw@\ldimen@ii\hfil\box\ZER@\hfil\harrow@ee}}\harrow@e}% \fi \fi} \let\tsize@\tsize \def\tsizeCDlabels{\let\tsize@\tsize} \def\ssizeCDlabels{\let\tsize@\ssize} \def\tsize@@{\ifnum\arrcount@=\m@ne\else\tsize@\fi} \def\varrow@{\dimen@\secondy@\advance\dimen@-\firsty@ \ifN@\else\multiply\dimen@\m@ne\fi \setbox\ZER@\vbox to\dimen@ {\ifN@\vskip-\Ydimen@\else\vskip\ydimen@\fi \ifnum\arrcount@=\m@ne\else\ifnum\arrcount@=\thr@@\else \hbox{\arrow@iii \ifN@ \ifnum\tcount@=\m@ne \else \ifcase\tcount@\char117 \or\or\char117 \or\char118 \or\char119 \or \char120 \or\or\or\or\or\char121 \or\char122 \or\char123 \or \vbox{\hbox{\char117}\nointerlineskip\vskip\thr@@\p@ \hbox{\char117}\vskip-\thr@@\p@}\fi \fi \else \ifcase\scount@\or\or\char118 \or\char117 \or\or\or\char119 \or \char120 \or\char121 \or\char122 \or\or\or\char123 \or \vbox{\hbox{\char117}\nointerlineskip\vskip\thr@@\p@ \hbox{\char117}\vskip-\thr@@\p@}\fi \fi}% \nointerlineskip \fi\fi \ifnum\arrcount@=\m@ne \let\leads@\null \else \ifcase\arrcount@\let\leads@\vrule\or\let\leads@\vrule\or \def\leads@{\vbox to\ten@\p@{% \hrule\height1.67\p@\depth\z@\width.4\p@ \vfil \hrule\height3.33\p@\depth\z@\width.4\p@ \vfil \hrule\height1.67\p@\depth\z@\width.4\p@}}\or \def\leads@{\hbox{\vrule\height\p@\hskip\tw@\p@\vrule}}\fi \fi \cleaders\leads@\vfill\nointerlineskip \ifnum\arrcount@=\m@ne\else\ifnum\arrcount@=\thr@@\else \hbox{\arrow@iv \ifN@ \ifcase\scount@\or\or\char118 \or\char117 \or\or\or\char119 \or \char120 \or\char121 \or\char122 \or\or\or\arrow@iii\char123 \or \vbox{\hbox{\char117}\nointerlineskip\vskip-\thr@@\p@ \hbox{\char117}\vskip\thr@@\p@}\fi \else \ifnum\tcount@=\m@ne \else \ifcase\tcount@\char117 \or\or\char117 \or\char118 \or\char119 \or \char120 \or\or\or\or\or\char121 \or\char122 \or\arrow@iii\char123 \or \vbox{\hbox{\char117}\nointerlineskip\vskip-\thr@@\p@ \hbox{\char117}\vskip\thr@@\p@}\fi \fi \fi}% \fi\fi \ifN@\vskip\ydimen@\else\vskip-\Ydimen@\fi}% \ifN@ \dimen@ii\firsty@ \else \dimen@ii-\firsty@\advance\dimen@ii\ht\ZER@\multiply\dimen@ii\m@ne \fi \rlap{\smash{\hskip\tocenter@\hskip\pdimen@\raise\dimen@ii\box\ZER@}}% \iflabel@i \setbox\ZER@\vbox to\dimen@{\vfil \hbox{$\m@th\tsize@@\label@i$}\vskip\tw@\ldimen@i\vfil}% \rlap{\smash{\hskip\tocenter@\hskip\pdimen@ \ifnum\arrcount@=\m@ne\let\next@\relax\else\let\next@\llap\fi \next@{\raise\dimen@ii\hbox{\ifnum\arrcount@=\m@ne\hskip-.5\wd\ZER@\fi \box\ZER@\ifnum\arrcount@=\m@ne\else\hskip\tw@\p@\fi}}}}% \fi \iflabel@ii \ifnum\arrcount@=\m@ne \else \setbox\ZER@\vbox to\dimen@{\vfil \hbox{$\m@th\tsize@\label@ii$}\vskip\tw@\ldimen@ii\vfil}% \rlap{\smash{\hskip\tocenter@\hskip\pdimen@ \rlap{\raise\dimen@ii\hbox{\ifnum\arrcount@=\thr@@\hskip4.5\p@\else \hskip2.5\p@\fi\box\ZER@}}}}% \fi \fi } \def\getcos@#1{% \ifnum\tan@i<\tan@ii \dimen@#1% \ifnum\slcount@<8 \count@9 \else \ifnum\slcount@<12 \count@8 \else \count@7 \fi\fi \multiply\dimen@\count@\divide\dimen@\ten@ \dimen@ii\dimen@\multiply\dimen@ii\tan@i\divide\dimen@ii\tan@ii \else \dimen@ii#1% \count@-\slcount@\advance\count@24 \ifnum\count@<8 \count@9 \else \ifnum\count@<12 \count@8 \else\count@7 \fi\fi \multiply\dimen@ii\count@\divide\dimen@ii\ten@ \dimen@\dimen@ii\multiply\dimen@\tan@ii\divide\dimen@\tan@i \fi} \def\Nnext@{\ifN@\let\next@\raise\else\let\next@\lower\fi} \def\arrow@@{\slcount@\angcount@ \ifNESW@ \ifnum\angcount@<\ten@ \let\arrowfont@\arrow@i\global\advance\angcount@\m@ne \global\multiply\angcount@13 \else \ifnum\angcount@<19 \let\arrowfont@\arrow@ii\global\advance\angcount@-\ten@ \global\multiply\angcount@13 \else \let\arrowfont@\arrow@iii\global\advance\angcount@-19 \global\multiply\angcount@13 \fi\fi \Tcount@\angcount@ \else \ifnum\angcount@<5 \let\arrowfont@\arrow@iii\global\advance\angcount@\m@ne \global\multiply\angcount@13 \global\advance\angcount@65 \else \ifnum\angcount@<14 \let\arrowfont@\arrow@iv\global\advance\angcount@-5 \global\multiply\angcount@13 \else \ifnum\angcount@<23 \let\arrowfont@\arrow@v\global\advance\angcount@-14 \global\multiply\angcount@13 \else \let\arrowfont@\arrow@i\global\angcount@117 \fi\fi\fi \ifnum\angcount@=117 \Tcount@115 \else\Tcount@\angcount@\fi \fi \Scount@\Tcount@ \ifE@ \ifnum\tcount@=\z@\advance\Tcount@\tw@\else\ifnum\tcount@=13 \advance\Tcount@\tw@\else\advance\Tcount@\tcount@\fi\fi \ifnum\scount@=\z@\else\ifnum\scount@=13 \advance\Scount@\thr@@\else \advance\Scount@\scount@\fi\fi \else \ifcase\tcount@\advance\Tcount@\thr@@\or\or\advance\Tcount@\thr@@\or \advance\Tcount@\tw@\or\advance\Tcount@6 \or\advance\Tcount@7 \or\or\or\or\or\advance\Tcount@8 \or\advance\Tcount@9 \or \advance\Tcount@12 \or\advance\Tcount@\thr@@\fi \ifcase\scount@\or\or\advance\Scount@\thr@@\or\advance\Scount@\tw@\or \or\or\advance\Scount@4 \or\advance\Scount@5 \or\advance\Scount@\ten@ \or\advance\Scount@11 \or\or\or\advance\Scount@12 \or\advance \Scount@\tw@\fi \fi \ifcase\arrcount@\or\or\global\advance\angcount@\@ne\else\fi \ifN@\shifted@\firsty@\else\shifted@-\firsty@\fi \ifE@\else\advance\shifted@\charht@\fi \goal@\secondy@\advance\goal@-\firsty@ \ifN@\else\multiply\goal@\m@ne\fi \setbox\shaft@\hbox{\arrowfont@\char\angcount@}% \ifnum\arrcount@=\thr@@ \getcos@{1.5\p@}% \setbox\shaft@\hbox to\wd\shaft@{\arrowfont@ \rlap{\hskip\dimen@ii \smash{\ifNESW@\let\next@\lower\else\let\next@\raise\fi \next@\dimen@\hbox{\arrowfont@\char\angcount@}}}% \rlap{\hskip-\dimen@ii \smash{\ifNESW@\let\next@\raise\else\let\next@\lower\fi \next@\dimen@\hbox{\arrowfont@\char\angcount@}}}\hfil}% \fi \rlap{\smash{\hskip\tocenter@\hskip\firstx@ \ifnum\arrcount@=\m@ne \else \ifnum\arrcount@=\thr@@ \else \ifnum\scount@=\m@ne \else \ifnum\scount@=\z@ \else \setbox\ZER@\hbox{\ifnum\angcount@=117 \arrow@v\else\arrowfont@\fi \char\Scount@}% \ifNESW@ \ifnum\scount@=\tw@ \dimen@\shifted@\advance\dimen@-\charht@ \ifN@\hskip-\wd\ZER@\fi \Nnext@ \next@\dimen@\copy\ZER@ \ifN@\else\hskip-\wd\ZER@\fi \else \Nnext@ \ifN@\else\hskip-\wd\ZER@\fi \next@\shifted@\copy\ZER@ \ifN@\hskip-\wd\ZER@\fi \fi \ifnum\scount@=12 \advance\shifted@\charht@\advance\goal@-\charht@ \ifN@\hskip\wd\ZER@\else\hskip-\wd\ZER@\fi \fi \ifnum\scount@=13 \getcos@{\thr@@\p@}% \ifN@\hskip\dimen@\else\hskip-\wd\ZER@\hskip-\dimen@\fi \adjust@\shifted@\advance\adjust@\dimen@ii \Nnext@ \next@\adjust@\copy\ZER@ \ifN@\hskip-\dimen@\hskip-\wd\ZER@\else\hskip\dimen@\fi \fi \else \ifN@\hskip-\wd\ZER@\fi \ifnum\scount@=\tw@ \ifN@\hskip\wd\ZER@\else\hskip-\wd\ZER@\fi \dimen@\shifted@\advance\dimen@-\charht@ \Nnext@ \next@\dimen@\copy\ZER@ \ifN@\hskip-\wd\ZER@\fi \else \Nnext@ \next@\shifted@\copy\ZER@ \ifN@\else\hskip-\wd\ZER@\fi \fi \ifnum\scount@=12 \advance\shifted@\charht@\advance\goal@-\charht@ \ifN@\hskip-\wd\ZER@\else\hskip\wd\ZER@\fi \fi \ifnum\scount@=13 \getcos@{\thr@@\p@}% \ifN@\hskip-\wd\ZER@\hskip-\dimen@\else\hskip\dimen@\fi \adjust@\shifted@\advance\adjust@\dimen@ii \Nnext@ \next@\adjust@\copy\ZER@ \ifN@\hskip\dimen@\else\hskip-\dimen@\hskip-\wd\ZER@\fi \fi \fi \fi\fi\fi\fi \ifnum\arrcount@=\m@ne \else \loop \ifdim\goal@>\charht@ \ifE@\else\hskip-\charwd@\fi \Nnext@ \next@\shifted@\copy\shaft@ \ifE@\else\hskip-\charwd@\fi \advance\shifted@\charht@\advance\goal@-\charht@ \repeat \ifdim\goal@>\z@ \dimen@\charht@\advance\dimen@-\goal@ \divide\dimen@\tan@i\multiply\dimen@\tan@ii \ifE@\hskip-\dimen@\else\hskip-\charwd@\hskip\dimen@\fi \adjust@\shifted@\advance\adjust@-\charht@\advance\adjust@\goal@ \Nnext@ \next@\adjust@\copy\shaft@ \ifE@\else\hskip-\charwd@\fi \else \adjust@\shifted@\advance\adjust@-\charht@ \fi \fi \ifnum\arrcount@=\m@ne \else \ifnum\arrcount@=\thr@@ \else \ifnum\tcount@=\m@ne \else \setbox\ZER@ \hbox{\ifnum\angcount@=117 \arrow@v\else\arrowfont@\fi\char\Tcount@}% \ifnum\tcount@=\thr@@ \advance\adjust@\charht@ \ifE@\else\ifN@\hskip-\charwd@\else\hskip-\wd\ZER@\fi\fi \else \ifnum\tcount@=12 \advance\adjust@\charht@ \ifE@\else\ifN@\hskip-\charwd@\else\hskip-\wd\ZER@\fi\fi \else \ifE@\hskip-\wd\ZER@\fi \fi\fi \Nnext@ \next@\adjust@\copy\ZER@ \ifnum\tcount@=13 \hskip-\wd\ZER@ \getcos@{\thr@@\p@}% \ifE@\hskip-\dimen@\else\hskip\dimen@\fi \advance\adjust@-\dimen@ii \Nnext@ \next@\adjust@\box\ZER@ \fi \fi\fi\fi}}% \iflabel@i \rlap{\hskip\tocenter@ \dimen@\firstx@\advance\dimen@\secondx@\divide\dimen@\tw@ \advance\dimen@\ldimen@i \dimen@ii\firsty@\advance\dimen@ii\secondy@\divide\dimen@ii\tw@ \global\multiply\ldimen@i\tan@i\global\divide\ldimen@i\tan@ii \ifNESW@\advance\dimen@ii\ldimen@i\else\advance\dimen@ii-\ldimen@i\fi \setbox\ZER@\hbox{\ifNESW@\else\ifnum\arrcount@=\thr@@\hskip4\p@\else \hskip\tw@\p@\fi\fi $\m@th\tsize@@\label@i$\ifNESW@\ifnum\arrcount@=\thr@@\hskip4\p@\else \hskip\tw@\p@\fi\fi}% \ifnum\arrcount@=\m@ne \ifNESW@\advance\dimen@.5\wd\ZER@\advance\dimen@\p@\else \advance\dimen@-.5\wd\ZER@\advance\dimen@-\p@\fi \advance\dimen@ii-.5\ht\ZER@ \else \advance\dimen@ii\dp\ZER@ \ifnum\slcount@<6 \advance\dimen@ii\tw@\p@\fi \fi \hskip\dimen@ \ifNESW@\let\next@\llap\else\let\next@\rlap\fi \next@{\smash{\raise\dimen@ii\box\ZER@}}}% \fi \iflabel@ii \ifnum\arrcount@=\m@ne \else \rlap{\hskip\tocenter@ \dimen@\firstx@\advance\dimen@\secondx@\divide\dimen@\tw@ \ifNESW@\advance\dimen@\ldimen@ii\else\advance\dimen@-\ldimen@ii\fi \dimen@ii\firsty@\advance\dimen@ii\secondy@\divide\dimen@ii\tw@ \global\multiply\ldimen@ii\tan@i\global\divide\ldimen@ii\tan@ii \advance\dimen@ii\ldimen@ii \setbox\ZER@\hbox{\ifNESW@\ifnum\arrcount@=\thr@@\hskip4\p@\else \hskip\tw@\p@\fi\fi $\m@th\tsize@\label@ii$\ifNESW@\else\ifnum\arrcount@=\thr@@\hskip4\p@ \else\hskip\tw@\p@\fi\fi}% \advance\dimen@ii-\ht\ZER@ \ifnum\slcount@<9 \advance\dimen@ii-\thr@@\p@\fi \ifNESW@\let\next@\rlap\else\let\next@\llap\fi \hskip\dimen@\next@{\smash{\raise\dimen@ii\box\ZER@}}}% \fi \fi } \def\outCD@#1{\def#1{\Err@{\noexpand#1must not be used within \string\CD}}} \def\preCDspace#1{\RIfMIfI@ \onlydmatherr@\preCDspace\else\advance\preCDskip@#1\relax\fi\else \onlydmatherr@\preCDspace\fi} \def\postCDspace#1{\RIfMIfI@ \onlydmatherr@\postCDspace\else\advance\postCDskip@#1\relax\fi\else \onlydmatherr@\postCDspace\fi} \def\predisplayspace#1{\RIfMIfI@ \onlydmatherr@\predisplayspace\else \advance\abovedisplayskip#1\relax \advance\abovedisplayshortskip#1\relax\fi \else\onlydmatherr@\preCDspace\fi} \def\postdisplayspace#1{\RIfMIfI@ \onlydmatherr@\postdisplayspace\else \advance\belowdisplayskip#1\relax \advance\belowdisplayshortskip#1\relax\fi \else\onlydmatherr@\postdisplayspace\fi} \def\PreCDSpace#1{\global\preCDskip@#1\relax} \def\PostCDSpace#1{\global\postCDskip@#1\relax} \def\CD#1\endCD{% \outCD@\cgaps\outCD@\rgaps\outCD@\Cgaps\outCD@\Rgaps \preCD@#1\endCD \advance\abovedisplayskip\preCDskip@ \advance\abovedisplayshortskip\preCDskip@ \advance\belowdisplayskip\postCDskip@ \advance\belowdisplayshortskip\postCDskip@ \vcenter{\offinterlineskip \vskip\preCDskip@\Let@\global\colcount@\@ne\global\rowcount@\z@ \everycr{% \noalign{% \ifnum\rowcount@=\Rowcount@ \else \getrgap@\rowcount@\vskip\getdim@ \global\advance\rowcount@\@ne\global\colcount@\@ne \fi}}% \tabskip\z@ \halign{&\global\xoff@\z@\global\yoff@\z@ \getcgap@\colcount@\hskip\getdim@ \hfil\vrule\height\ten@\p@\width\z@\depth\z@ $\m@th\displaystyle{##}$\hfil \global\advance\colcount@\@ne\cr #1\crcr}\vskip\postCDskip@}% \preCDskip@\z@\postCDskip@\z@ \def\getcgap@##1{\ifcase##1\or\getdim@\z@\else\getdim@\standardcgap\fi}% \def\getrgap@##1{\ifcase##1\getdim@\z@\else\getdim@\standardrgap\fi}% \let\Width@\relax\let\Height@\relax\let\Depth@\relax\let\Rowheight@\relax \let\Rowdepth@\relax\let\Colwidth@\relax } \catcode`\@=\active