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here's“some“examples“from“the“ÍLŸý雑üQíÎAŽŽ‘ÙÍT‘þKß'EŽ‘Í-XŽ¡‘IComp‘ÿ}'anion².ŽŽŸ’õÿ17ŽŽŒ‹K7 ª ýs o ý´‘S„ff|ßú‘Ÿfd²Lots–UUof“equationsŽ‘U@ „ff|ßúŽŸ‘S„ff’N32„ffŽŸ%\tŸâ£ŒŸ ‘jpøµVŸÿó 0e—rcmmi7´iŽŽ‘va±²=‘ǵvŸÿ´iŽ‘,¸‘8àµqŸÿ´iŽ‘TLµvŸÿ´jŽ‘6¬µ;Ž’Åh¶XŸÿ´iŽŽ’ÓÌþ²=‘ǵxŸÿ´iŽ‘,¸‘8àµqŸÿ´iŽ‘TLµxŸÿ´jŽ‘6¬µ;Ž’#®UŸÿ´iŽ‘d²=–ǵuŸÿ´iŽ‘TLµ;‘ªª²for‘UUµi“¸6²=“µjŽŽ’‹8à²(3)ŽŽŽŸ\t‘iŽ˜µVŸÿ´jŽŽ‘va±²=‘ǵvŸÿ´jŽ‘6¬µ;Ž’ĆVXŸÿ´jŽŽ’ÓÌþ²=‘ǵxŸÿ´jŽŽ’#®µUŸÿ´jŽ‘6¬µuŸÿ´jŽ‘oŒ²+‘8àŸöüóú±u cmex10«XŽŽŸ ‘´ió O!â…cmsy7·6±=´jŽŽ‘UQµqŸÿ´iŽ–TLµuŸÿ´iŽ“µ:Ž’‹8à²(4)ŽŽŽŽŽŽ‘SŸD&j‰ffNÿþŸŸE@ŸÉ‘ Ò\begin{eqnarray}[rl:rl:lq]ŽŽ¤ ‘¹—V_i–¹–&=“v_i“-“q_i“v_j,“&“X_i“&=“x_i“-“q_i“x_j,“&ŽŽ¡‘+U_i–¹–=“u_i,“\qquad“\mbox{for“$i“\ne“j$}‘ s,\\ŽŽ¡‘¹—V_j–¹–&=“v_j,‘3ùr&“X_j“&=“x_j‘8³&ŽŽ¡‘+U_j–¹–u_j“+“\sum_{i“\ne“j}“q_i“u_i.“\label{eq:A}ŽŽ¡‘ \end{eqnarray}ŽŽŽŽŽŸT@„ff’N32„ffŽžff‰ffNÿþŽŽ šÀ ÿ#s4‘S„ffXw‘Ÿfd²Plain–UUtext“column“and“Ê\tabpauseŽ’žÇ„ffXwŽŸ‘S„ff’N32„ffŽŸ\Ÿ¬¤’É\µxŽ’Ѳ=‘ǵyŽ’ «Ï²b¸ãy‘UU(4)Ž’‹8à(5)ŽŽŽŸ’ÆD#µxŸûÞÿ·0ŽŽ’Ѳ=‘ǵy[ÙŸûÞÿ·0ŽŽ’ «Ï²b¸ãy‘UUde nitionŽ’‹8à(6)ŽŽŽŸ‘]andŽ¡’´T)µx–8à²+“µxŸûÞÿ·0ŽŽ’Ѳ=‘ǵy‘”¹²+‘8àµy[ÙŸûÞÿ·0ŽŽ’ «Ï²b¸ãy–UUAxiom“1Ž’‹8à(7)ŽŽŽŽŽŽ‘SŸnæf‰ffNÿþŸŸE@ŸÉ‘ Ò\begin{eqnarray}[rlqqTl]ŽŽ¤ ‘!Ÿïx‘ s,&=–¹–y‘3ùr&“by“(\ref{eq:A})“\\ŽŽ¡‘!Ÿïx'–¹–&=“y'‘/?Ü&“by“definition“\\ŽŽ¡‘ \tabpause{and}ŽŽ¡‘¹—x–¹–+“x'“&=“y“+“y'‘Y„&“by“Axiom~1ŽŽ¡‘ \end{eqnarray}ŽŽŽŽŽŸT@„ff’N32„ffŽžff‰ffNÿþŽŽŽŸñÇ‘X²The–òRnew“features“also“mean“that“y¸ãou“don't“need“to“mess“abGout“with“Ê\lefteqnŽ¤ ‘I²anš¸ãy–UUmore.‘qÇThis“is“handled“b˜y“the“`ÊL²'Ž‘xácolumn“t˜ypGe:Ž¡‘S„ff|‘ŸfdSplitting‘UUexampleŽ‘VñÔ„ff|ŽŸ‘S„ff’N32„ffŽŸ2ŸÖ¡‘w¡µw‘}ò+–8àµx“²+“µy‘”¹²+“µz‘7¯²=ŽŽŽ¤’‹£µa–8à²+“µb“²+“µc“²+“µd“²+“µe²+ŽŽ¡’‹£µf‘Lo²+–8àµg‘”¹²+“µh“²+“µi“²+“µjŽŽŽŽŸ:@ŸÔ’ÿ€Ò\begin{eqnarray*}[Ll]ŽŽ¤ ’ ¬Âw+x+y+z–¹–=“\\ŽŽ¡’fX&–¹–a+b+c+d+e+“\\ŽŽ¡’fX&‘¹–f+g+h+i+jŽŽ¡’ÿ€\end{eqnarray*}ŽŽŽŽŽŸI@‘S„ff’N32„ffŽ‘Sžff‰ffNÿþŽŽŸb˜-‘X²Finally‘ÿ*ª,›ƒhjust–z1to“pro•¸ãv“e–z1that“the“spacing's“righ¸ãt“at“last,˜here's“another“one“fromŽ¡‘Ithe‘UUÍComp‘ÿ}'anion².ŽŽŸ’õÿ18ŽŽŒ‹]ç ª ýs o ý´‘S„ffpuM‘Ÿfd²Spacing‘UUdemonstrationŽ‘ne„ffpuMŽŸ‘S„ff’N32„ffŽŸ5ŸÓŸ ’µ¥µxŸûÞÿ±2Ž‘µS²+‘8àµy[ÙŸûÞÿ±2Ž‘Ÿd²=‘ǵzp—ŸûÞÿ±2ŽŽ’è¸à²(8)ŽŽŽŸ’µ¥µxŸûÞÿ±2Ž‘µS²+‘8àµy[ÙŸûÞÿ±2ŽŽ’°¨•²=‘ǵzp—ŸûÞÿ±2ŽŽ’è¸à²(9)ŽŽŽŸ’¤"µy[ÙŸûÞÿ±2ŽŽ’°¨•µ<‘Çzp—ŸûÞÿ±2ŽŽ’ã¸ß²(10)ŽŽŽŽŽŸP@Ÿ¾’ÿ€Ò\begin{equation}ŽŽ¤ ’ó,x^2–¹–+“y^2“=“z^2ŽŽ¡’ÿ€\end{equation}ŽŽ¡’ÿ€\begin{eqnarray}[rl]ŽŽ¡’ó,x^2–¹–+“y^2“&=“z^2“\\ŽŽ¡’%L°y^2–¹–&<“z^2ŽŽ¡’ÿ€\end{eqnarray}ŽŽŽŽŽŸ_@‘S„ff’N32„ffŽ‘Sžff‰ffNÿþŽŽŸx˜-‘X²W‘ÿ*ªell,‘T#that–!-wš¸ãas“easy“enough.‘ÕONo˜w“on“to“n˜um˜bGering.‘ÕOAs“y˜ou'v˜e“noticed,‘T#theŽ¤ ‘Iequations›å¢abGo•¸ãv“e˜are˜n“um“bGered.‘L‹Y‘ÿ*ªou˜can˜use˜the˜Ëeqna“rra“y¸˜²en“vironmen“t˜to˜turn˜o Ž¡‘Ithe›Yn•¸ãum“bGering˜in˜the˜whole˜en“vironmen“t,‘Zor˜sa“y˜Ê\nonumber˜²on˜a˜line˜to˜suppressŽ¡‘In•¸ãum“bGering–UUof“that“one“in“particular.Ž¡‘XMore–‚×excitingly‘ÿ*ª,‘Ž8yš¸ãou“can“sa˜y“Ê\eqnumber“²to“enable“n˜um˜bGering“for“a“particularŽ‘yºÒ\eqnumberŽŽŽŽ¡‘I²equation,‘¡ˆor‘t•Ê\eqnumber[Ž‘6ôw¸hÍtext‘òظiŽ‘O‡Ê]Ž‘WE²to–t•cš¸ãhoGose“what“to“sho˜w“instead“of“the“line“n˜um˜bGer.Ž¡‘IThis–ÉIwš¸ãorks“for“bGoth“starred“and“unstarred“v˜ersions“of“the“en˜vironmen˜t.‘ͤNo˜wŽ¡‘IÊ\nonumber–UU²bGecomes“merely“a“synon¸ãym“for“`Ê\eqnumber[]²'.Ž¡‘XA‘²note–Áfor“c•¸ãheats:‘è y“ou–Ácan“use“the“sparkly“new›´NËeqna•¸ãrra“y˜²for–Ásimple“equationsŽ¡‘Ib¸ãy–UUspGecifying“`Êx²'Ž‘xáas“the“column“description.‘qÇWho“needs“¸A‘þŸžqMŽ‘QS‘¿ü²-T‘þU>Ÿ'EŽ‘ãxXŽ‘0¤?“Ê;-)Ž¡‘X²In–Mñfact,›Okthere's“a“separate“en•¸ãvironmen“t‘MñËeqlines²,˜whic“h–Mñis“equiv‘ÿqÇalenš¸ãt“to“Ëeqna˜rra˜yŽ‘ìæÒeqlinesŽŽŽŽ¡‘3Peqlines*ŽŽŽŽ¡‘I²with–. a“single“`Êx²'Ž‘*Qcolumn;‘;%the“result“is“that“yš¸ãou“can“insert“a“collection“of“displa˜y˜edŽ¡‘Iequations–ðöseparated“bš¸ãy“Ê\\“²commands.‘D«If“y˜ou“don't“lik˜e“n˜um˜bGering,‘Þuse“Ëeqlines¸Ž¡‘I²insead.ŽŸ·«‘IÉ1.10.2Ž‘qã€The–ÕTÌeqnalign“Éen•®9vironmen“tŽŸuT‘I²There's–{²a“new“en•¸ãvironmen“t,–§9Ëeqnalign²,“whicš¸ãh–{²doGes“almost“the“same“thing“as“Ëeqna˜rra˜yŽ‘3PÒeqnalignŽŽŽŽ¡‘I²but–…ønot“quite.‘¯It“došGesn't“do“equation“n•¸ãum“b˜ers,‘’ and–…øit“wraps“its“con•¸ãten“ts–…øup“in“aŽ¡‘IbGo¸ãx.‘qÇThe–UUresult“of“this“is“that:ŽŸfc‘X¸ŽŽŽ‘b²Y‘ÿ*ªou–4can“use“Ëeqnalign“²for“just“a“part“of“a“formš¸ãula.‘]gThe“Ëeqna˜rra˜y‘;Á²en˜vironmen˜tŽ¡‘bm•¸ãust›UUtak“e˜up˜the˜whole˜displa“y‘ÿ*ª.Ž©\(‘X¸ŽŽŽ‘b²Y‘ÿ*ªou–±Ãcan“use“Ëeqnalign“²within“Ëeqna•¸ãrra“y‘ÕP²for–±Ãextra“ ne“alignmen¸ãt“of“subsidiaryŽ¡‘bbits.Ž¦‘X¸ŽŽŽ‘b²Y‘ÿ*ªou–öòcan“break“o “from“doing“an“Ëeqna•¸ãrra“y‘²using–öòthe“Ê\tabpause“²command.Ž¡‘bY‘ÿ*ªou–UUcan't“use“Ê\tabpause“²inside“Ëeqnalign².Ÿü^ÿ±8ŽŽŽŸfc‘X²The–UUËeqnalign“²en•¸ãvironmen“t›UUw“orks˜lik“e˜this:Ž¤®ž‘I¸hÍe‘ÿ}'qnalign-env‘¸iŽ’ŠÚ‘²::=ŽŽ’—/éŸýÌϬ-Ž’š¯éŸýÌÏ-ŽŽ’£¯éŸþ„ff ?ü„ff'ÿ„ff'ÿ‘TŸÿþÕhÖb•‡e“gin-e“qnalign‘¶9ÕiŽŽ‘E˶„ff'ÿ„ff'ÿ„ff'ÿ„ff'ÿ‘TŸÿþhÖc‡ontents‘»ÕiŽŽ‘/&K„ff'ÿ„ff'ÿ„ff'ÿ„ff'ÿ‘TŸÿþhÖend-e‡qnalign‘¶9ÕiŽŽ‘@!„ff'ÿ„ffŸþ„ff1¥‘úžÌͬ-Ž‘žÌÍŽŽŽ¡Ÿúá‘I¸hÍb–ÿ}'e“gin-e“qnalign‘Äc¸iŽ’‘0\²::=ŽŽ’…´ŸýÌϬ-Ž’¡´ŸýÌÏ-ŽŽ’ª´Ÿþ„ff ?ü„ff¼7„ff¼7‘TŸÿþÒ\beginŽŽ‘"„,„ff¼7„ff¼7„ff¼7„ff¼7‘TŸÿþ{eqnalign}ŽŽ‘5j„„ff¼7„ff¼7„ffä7„ffä7™š®ŽŽŽ¤ÿþ™šŸLÏ„€ffŸú³3„ff=êk„ffOÿ„ffOÿ„ff=êkŸLÍ„€ffŽŽŸ•™š©ùÌÏ„ €ff“Ÿ33ŽŽ›™šŸ33„ffOÿ„ffOÿ‘T¡Ò[ŽŽ‘ ä>„ffOÿ„ffŸþŸöÿþ“ŸLÏ„€ff“Ÿú³3®ŽŽ˜Ÿú³3„ffܘ„ffOÿ„ffOÿ„ffܘ‘ŽŽ‘ŸLÍ„€ffŽŽŸ “¦„€ff“Ÿ33ŽŽŸ33„ffŽ–Ÿ33„ffOÿ„ffOÿ‘T¡ÕhÖe•‡qa-c“olumn‘¶9ÕiŽŽ‘:²Ë„ffOÿ„ffOÿ„ff®ŽŽŽ“ŸûÌÍ„€ffŽŽŽ‘KòÇ„ffŸþ„ffOÿ‘T¡Ò]ŽŽ‘ ä>„ffOÿ„ffOÿ‘®ŽŽ‘ŸûÌÍ„ €ffŽŽŽ’€tÓŽŽŽ’€tÓ„ffä7„ffä7„ffä7‘úžÌͬ-ŽŽŽŸ"’‹EŸýÌÏ-ŽŽ’”EŸþ„ff ?ü„ff€Ž’¡Ÿþ„ffOÿ™š®ŽŽŽ¤ÿþ™šŸLÏ„€ffŸú³3„ff%Ïñ„ffOÿ„ffOÿ„ff%ÏñŸLÍ„€ffŽŽ© •™šŸùÌÏ„€ff“Ÿ33ŽŽ‘™šŸ33„ffOÿ„ffOÿ‘T¡Ò[ŽŽ› ä>„ffOÿ„ffŸþ“®ŽŽŽ¡“ŸLÏ„€ffŸú³3„ffÌÍ„ffOÿ„ffOÿ‘T¡ÒtŽŽ˜„ffOÿ„ffOÿ„ffÌÍŸLÍ„€ffŽŽ¦“ŸLÏ„ ff“Ÿú³3®ŽŽ‘™šŸú³3„ffOÿ„ffOÿ‘T¡ÒcŽŽ˜„ffOÿ„ffOÿ‘®ŽŽ‘ŸLÍ„ ffŽŽ¦“ŸùÌÏ„€ff“Ÿ33ŽŽ‘™šŸ33„ffOÿ„ffOÿ‘T¡ÒbŽŽ˜„ffOÿ„ffOÿ‘®ŽŽ‘ŸûÌÍ„€ffŽŽŽ‘½ÔŽŽŽ‘½Ô„ffŸþ„ffOÿ‘T¡Ò]ŽŽ˜„ffOÿ„ffOÿ‘®ŽŽ‘ŸûÌÍ„€ffŽŽŽ‘P?àŽŽŽ‘P?à„ffOÿ„ffŸþ„ffª{ ‘úžÌͬ-Ž‘žÌÍŽŽŽ‘IŸ*]‰ffÿrŸ J=‘ "5Ÿý-:Á8ŽŽŽ‘LÜÀW‘ÿJªell,‘“"tecšÃŽhnically–‚•spŽ¤’¯R?<ŽŸ ’¯R?>Ž¡’¯R?:ŽŽŸñ’¸5ε Ž’Ál²=‘ǵf‘²(µzp—²)ŽŽ¤’¸uϵ Ž’Ál²=‘ǵf‘²(µzp—ŸûÞÿ±2Ž‘í ²)ŽŽ¡’¸éOµ Ž’Ál²=‘ǵf‘²(µzp—ŸûÞÿ±3Ž‘í ²)ŽŽŽŸèò’ãMΫ9ŽŸ ’ãMÎ>Ž¤’ãMÎ=ŽŸ ’ãMÎ>Ž¡’ãMÎ;ŽŽŽ’ÜŸñæ^ŽŸùY ’ \µxŽ’Ú<²=‘ǵ zŸûÞÿ±2Ž‘¾Í¸‘8ൠŽŽŸ’ Ð,yŽ’Ú<²=‘Ç2µ ŽŽŽ’9»üŸñæ^«ŽŽ’B極:ŽŽŽŽ‘SŸMf‚‰ffNÿþŸŸq@Ÿ‘ Ò\[ŽŽ¤ ‘s-\left\{‘¹–\begin{eqnalign}[rl]ŽŽ¡‘æY\alpha–¹–&=“f(z)“\\“\beta‘ s,&=“f(z^2)“\\ŽŽ¡‘æY\gamma–¹–&=“f(z^3)ŽŽ¡‘s-\end{eqnalign}‘¹–\right\}ŽŽ¡‘s-\qquadŽŽ¡‘s-\left\{‘¹–\begin{eqnalign}[rl]ŽŽ¡‘æYx–¹–&=“\alpha^2“-“\beta“\\“y“&=“2\gammaŽŽ¡‘s-\end{eqnalign}‘¹–\right\}.ŽŽ¡‘ \]ŽŽŽŽŽŸ~ÿÿ„ff’N32„ffŽžff‰ffNÿþŽŽŽŸØä‘X²The–”ŸÊ\multicolumn“²command“wš¸ãorks“correctly“in“bGoth“the“Ëeqna˜rra˜y‘¸,²and“ËeqnalignŽ‘LøÒ\multicolumnŽŽŽŽ¡‘I²en•¸ãvironmen“ts,‘ƒ#although›FÇy“ou˜should˜bGear˜in˜mind˜that˜y“ou˜should˜giv“e˜Ëeqna“rra“yŽ¡‘I²column–UUtš¸ãypGes,“not“Ëa˜rra˜y‘xâ²ones.ŽŸþ6‘IÉ1.10.3Ž‘qã€A–ÕTnote“on“spacing“in“alignmenš®9t“en˜vironmen˜tsŽŸuT‘I²Most–.&of“the“time,‘5üequations“in“Ëeqna•¸ãrra“y‘Q³²and–.&Ëeqnalign“²en•¸ãvironmen“ts–.&will“bšGe“b˜eauti-Ž¡‘Iful.‘–Ho•¸ãw“ev“er,‘Ï$there–¶Çare“some“things“yš¸ãou“should“bGear“in“mind“when“y˜ou“proGduceŽ¡‘IbGeautiful‘UUequations.Ž¡‘XThe–r[main“problem“with“spacing“is“making“sure“that“binary“relations“and“binaryŽ¡‘IopGerators›qÄha•¸ãv“e˜the˜correct˜amoun“t˜of˜space˜on˜eac“h˜side˜of˜them.‘ÇThe˜alignmen“tŽ¡‘Ien•¸ãvironmen“ts–ß+insert“`hidden'“ob‘Ž8jects“at“the“ends“of“table“cells“to“assist“with“theŽ¡‘Ispacing:‘0"`Êl²'Ž‘Ðccolumn–Ò tš¸ãypGes“ha˜v˜e“a“hidden“ob‘Ž8ject“on“the“left,‘ìM`Êr²'Ž‘ŒŽt˜ypGes“ha˜v˜e“a“hiddenŽ¡‘Iob‘Ž8ject–º&on“the“righš¸ãt,‘Ù/and“`Êc²'Ž‘Bƒt˜ypGes“ha˜v˜e“a“hidden“ob‘Ž8ject“on“Íb‘ÿ}'oth‘~‰²ends.‘> These“hiddenŽ¡‘Iob‘Ž8jects–»add“the“correct“space“when“there's“a“binary“opGerator“or“relation“next“toŽ¡‘Ithem.›02If–”Îsome“other“sort“of“ob‘Ž8ject“is“lurking“there,‘¤¬no“space“is“added.˜So“far,‘¤¬soŽ¡‘Igo•Go“d.Ž¡‘XThe–UUonly“problem“comes“when“yš¸ãou“ha˜v˜e“something“lik˜e“this:Ž¡‘S„ffhƒ‡‘ŸfdHoš¸ãw–UUnot“to“do“an“Ëeqna˜rra˜yŽ‘}øñ„ffhƒ‡ŽŸ‘S„ff’N32„ffŽŸ#Ÿå¡’“_rµx–8à²+“µyŽ’­Y|²=Ž’·ç²12ŽŽŸ’‰_p2µx–8ณ²5µyŽ’­Y|²=Ž’º ’¸‘8à²6ŽŽŽŽŸ/@Ÿß’ÿ€Ò\begin{eqnarray*}[rcl]ŽŽ¤ ’ó,x–¹–+‘ s,y“&“=“&“12“\\ŽŽ¡’9–2x–¹–-“5y“&“=“&“-6ŽŽ¡’ÿ€\end{eqnarray*}ŽŽŽŽŽŸ>@‘S„ff’N32„ffŽ‘Sžff‰ffNÿþŽŽŽŸ’õÿ²20ŽŽŒ‹{½ ª ýs o ý´‘X²The–Ž6`¸²'“sign“in“the“second“equation“has“bšGeen“treated“as“a“binary“op˜erator“whenŽ¤ ‘Ireally––3it“should“bšGe“a“unary“pre x“op˜erator,‘¦kbut“T‘þU>Ÿ'EŽ‘ãxX“isn't“clevš¸ãer“enough“to“kno˜wŽ¡‘Ithe–~@di erence.‘ìˆ(Can“yš¸ãou“see“the“di erence“in“the“spacing“bGet˜w˜een“¸²6“and‘Òg¸‘T'²6?)Ž¡‘IThere–A{are“t•¸ãw“o–A{pGossible“solutions“to“the“problem.‘k)Y‘ÿ*ªou“could“wrap“the“`Ê-6²'“up“in“aŽ¡‘Igroup–A(`Ê{-6}²'),›Eor“just“the“¸“²sign“(`Ê{-}6²').‘kA‘A bGetter“plan,˜though,˜is“to“get“rid“ofŽ¡‘Ithe–UUmiddle“column“altogether:Ž¡‘S„ffqg‘ŸfdHoš¸ãw–UUto“do“an“Ëeqna˜rra˜yŽ‘l1Ò„ffqgŽŸ‘S„ff’N32„ffŽŸ#Ÿå¡’•˜Rµx–8à²+“µyŽ’¯’\²=‘Ç12ŽŽŸ’‹˜P2µx–8ณ²5µyŽ’¯’\²=‘Ǹ²6ŽŽŽŽŸ/@Ÿß’ÿ€Ò\begin{eqnarray*}[rl]ŽŽ¤ ’ó,x–¹–+‘ s,y“&“=“12“\\ŽŽ¡’9–2x–¹–-“5y“&“=“-6ŽŽ¡’ÿ€\end{eqnarray*}ŽŽŽŽŽŸ>@‘S„ff’N32„ffŽ‘Sžff‰ffNÿþŽŽ©W˜-‘X²Since–§othe“things“in“the“middle“column“w¸ãere“the“same“width,‘»öit's“not“actuallyŽ¡‘Idoing–^ïanš¸ãy“go•Go“d.‘Ž”Also,‘aUno˜w–^ïthat“T‘þU>Ÿ'EŽ‘ãxX“can“see“that“the“thing“on“the“left“of“the“`¸²'Ž¡‘Isign–UUis“a“relation“(the“`='“sign),“it“will“space“the“form¸ãula“correctly‘ÿ*ª.Ž¡‘XIn–±this“case,‘Èit“mighš¸ãt“bGe“ev˜en“bGetter“to“add“some“extra“columns,‘Èand“line“upŽ¡‘Ithe–UUµx“²and“µy‘±.²terms“in“the“left“hand“side:Ž¡‘S„ffm‘¾‘ŸfdExtra–UUbGeautiful“Ëeqna•¸ãrra“yŽ‘sÜ‚„ffm‘¾ŽŸ‘S„ff’N32„ffŽŸ#Ÿå¡’˜Qµx‘8à²+Ž’§ˆLµyŽ’¯’\²=‘Ç12ŽŽŸ’‹˜P2µx‘8ฎ’¢ˆK²5µyŽ’¯’\²=‘Ǹ²6ŽŽŽŽŸ/@Ÿß’ÿ€Ò\begin{eqnarray*}[rrl]ŽŽ¤ ’ó,x–¹–+“&‘ s,y“&“=“12“\\ŽŽ¡’9–2x–¹–-“&“5y“&“=“-6ŽŽ¡’ÿ€\end{eqnarray*}ŽŽŽŽŽŸ>@‘S„ff’N32„ffŽ‘Sžff‰ffNÿþŽŽ¦‘X²There's–œno“need“to“put“the“`+'“and“`¸²'“opGerators“in“their“o¸ãwn“column“here,Ž¡‘IbšGecause–UUthey're“b˜oth“7.7778‘ª®pt“wide,“ev¸ãen“though“they“don't“lo˜ok“it.ŽŸÏã‘IÉ1.10.4Ž‘qã€Con 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‘Ioriginal,‘UUIMHO.Ž©‘Lüs±1Ž‘Sª®ÕhØmdwtabŽ‘#¡²ÕiŽŸþ6‘IÏ2.1Ž‘gÀRegisters,–€switc hes“and“thingsŽŸuT‘I²W‘ÿ*ªe–UUneed“lots“of“these.‘qÇIt's“great“fun.Ž¡‘XThe›UUt•¸ãw“o˜coun“t˜registers˜are˜simple˜enough:ŽŸ‘IÊ\tab@stateŽŽ’‚â²conš¸ãtains–|óthe“curren˜t“parser“state.‘)§Since“w˜e“probably“w˜on't“bGe“parsingŽ¡‘bpream•¸ãbles›UUrecursiv“ely‘ÿ*ª,˜this˜is˜a˜global˜v‘ÿqÇariable.Ž¤‘IÊ\tab@columnsŽŽ’Œÿܲconš¸ãtains–UUthe“n˜um˜bGer“of“the“curren˜t“column.Ž¡‘IÊ\tab@hlstateŽŽ’Œÿܲconš¸ãtains–UUthe“state“required“for“hline“managemen˜t.ŽŸ‘Lüs±2Ž‘Sª®Ò\newcount\tab@stateŽŸ ‘Lüs±3Ž‘Sª®Ò\newcount\tab@columnsŽŸ‘X²W›ÿ*ªe–Ùneed“Ílots‘_ú²of“tok¸ãen“registers.‘/IF˜ortunately˜,‘µ¿most“of“them“are“only“used“duringŽ¤ ‘Iparsing.‘GW‘ÿ*ªe'll–Ö«use“ÝPlain‘²T‘þU>Ÿ'EŽ‘ãxX's“scratcš¸ãh“tok˜ens“for“this.‘GNote“that“Ê\toks\tw@“²isn'tŽ¡‘Iused–UUhere.‘qÇIt,“and“Ê\toks@²,“are“free“for“use“b¸ãy“column“commands.Ž¦‘Lüs±4Ž‘Sª®Ò\newtoks\tab@preambleŽ¤ ‘Lüs±5Ž‘Sª®Ò\newtoks\tab@shortlineŽ¡‘Lüs±6Ž‘Sª®Ò\toksdef\tab@pretext‘¹–4Ž¡‘Lüs±7Ž‘Sª®Ò\toksdef\tab@posttext‘¹–6Ž¡‘Lüs±8Ž‘Sª®Ò\toksdef\tab@userpretext‘¹–8ŽŸ‘X²The–ý>dimens“are“fairly“straigh•¸ãtforw“ard.‘TjThe–ý>inclusion“of“Ê\col@sep“²is“a“sacri ceŽŸ ‘Ito–UUcompatibilitš¸ãy“{“judicious“use“of“Ê\let“²in“Ëa˜rra˜y‘xâ²w˜ould“ha˜v˜e“sa˜v˜ed“a“register.Ž¦‘Lüs±9Ž‘Sª®Ò\newdimen\extrarowheightŽ¡‘I±10Ž‘Sª®Ò\newdimen\tabextrasepŽ¡‘I±11Ž‘Sª®Ò\newdimen\arrayextrasepŽ¡‘I±12Ž‘Sª®Ò\newdimen\smarraycolsepŽ¡‘I±13Ž‘Sª®Ò\newdimen\smarrayextrasepŽ¡‘I±14Ž‘Sª®Ò\newdimen\tab@widthŽ¡‘I±15Ž‘Sª®Ò\newdimen\col@sepŽ¡‘I±16Ž‘Sª®Ò\newdimen\tab@endheightŽŸ‘X²Some–UUskip“registers“toGo.‘qÇPhew.Ž¦‘I±17Ž‘Sª®Ò\newskip\tab@leftskipŽ¡‘I±18Ž‘Sª®Ò\newskip\tab@rightskipŽŸ‘X²And–UUsome“switc¸ãhes.‘qÇThe“ 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sted,‘ÝebšGecause–Žûit“remo•¸ãv“es–Žûp˜erfectly“reasonable“aligning“spaces“lik¸ãe“Ê\hfil²s.Ž¡‘IWhile–·xas“a“pacš¸ãk‘ÿqÇage“writer“I‘·_can“deal“with“this“sort“of“thing“b˜y“sa˜ying“Ê\kern\z@Ž¡‘I²in–þ>appropriate“places,‘©it“can“annoš¸ãy“users“who“are“trying“to“use“Ê\hfill“²to“o˜v˜errideŽ¡‘Ialignmenš¸ãt–UUin“funn˜y“places.Ž¡‘XMy–currenš¸ãt“solution“seems“to“bGe“acceptable.‘!I'll“remo˜v˜e“the“natural“widthŽ¡‘Iof– Zthe“last“glue“item,‘óso“that“it“can“still“stretc¸ãh“and“shrink“if“necessary‘ÿ*ª.‘RÖTheŽ¡‘Iimplemen•¸ãtation›g‰mak“es˜use˜of˜the˜fact˜that˜m“ultiplying˜a˜¸hÍskip‘¡˜¸iŽ‘"Ÿ²b“y˜a˜¸hÍnumb‘ÿ}'er‘¸iŽŽ¡‘I²kills–UUo “the“stretc¸ãh.›qÇ(Bug“ x:˜don't“do“this“when“wš¸ãe're“in“v˜ertical“moGde.)Ž¦‘I±29Ž‘Sª®Ò\def\@maybe@unskip{\ifhmode\hskip-\@ne\lastskip\relax\fi}ŽŸ‘yº\q@delimŽŽŽ‘I²Finally‘ÿ*ª,›Ð2for–„mthe“sak¸ãe“of“niceness,˜here's“a“delimiter“tok¸ãen“I‘„can“use“for“v‘ÿqÇariousŽ¡‘Ithings.‘%vIt's–‘:a“`quark',› 3for“what“it's“w¸ãorth“(i.e.,˜it“expands“to“itself‘Ç)“although“I'mŽ¡‘Inot–˜„really“sure“whš¸ãy“this“is“a“go•Go“d–˜„thing.‘;UAs“far“as“I'm“concerned,‘©Pit's“impGortan˜tŽ¡‘Ithat–7 it“has“a“unique“meaning“(i.e.,›=+that“it“w¸ãon't“bGe“Ê\ifx²-equal“to“other“things,˜orŽ¡‘Isomething–ºOunde ned)“and“that“it“w¸ãon't“bšGe“used“where“I‘º(don't“exp˜ect“it“to“b˜e“used.Ž¡‘IT‘þU>Ÿ'EŽ‘ãxX–š will“loGop“horridly“if“it“tries“to“expand“this,‘«6so“I‘™÷don't“think“that“quarks“areŽ¡‘Iw•¸ãonderfully›3clev“er˜thing˜to˜use.‘](Ma“ybGe˜it˜should˜really˜expand˜to˜something˜lik“eŽ¡‘I`¸hÍquark‘¸iŽ‘ ¿šÊ.Ž‘%ÿ—²',‘ðŸ'EŽ‘ãxX's“memory“if“it“gets“acciden˜tally“expanded.Ž¡‘IStill,–UUI'll“lea•¸ãv“e–UUit“as“it“is“unš¸ãtil“suc˜h“time“as“I“understand“the“idea“more.)Ž¦‘I±30Ž‘Sª®Ò\def\q@delim{\q@delim}ŽŸþ6‘IÏ2.3Ž‘gÀP arser‘€statesŽŸuT‘I²No•¸ãw›è`w“e˜start˜on˜the˜parser.‘MuIt's˜really˜simple,‘þ*deep˜do“wn.‘MuW‘ÿ*ªe˜progress˜from˜stateŽ¡‘Ito–state,‘ŒŸextracing“tokš¸ãens“from“the“pream˜ble“and“building“command“names“fromŽ¡‘Ithem.‘\Eacš¸ãh– command“calls“one“of“the“elemen˜t-building“routines,‘!whic˜h“w˜orks“outŽ¡‘Iwhicš¸ãh–G…state“it“should“bGe“in.‘HXW‘ÿ*ªe“go“through“eac˜h“of“the“states“in“bGet˜w˜een“(seeŽ¡‘Ilater)–UUdoing“default“things“for“the“ones“w¸ãe“missed“out.Ž¡‘XAn•¸ãyw“a“y‘ÿ*ª,–UUhere's“some“symš¸ãbGolic“names“for“the“states.‘qÇIt“mak˜es“m˜y“life“easier.Ž¦‘I±31Ž‘Sª®Ò\chardef\tab@startstate‘¹–0Ž¤ ‘I±32Ž‘Sª®Ò\chardef\tab@loopstate‘¹–1Ž¡‘I±33Ž‘Sª®Ò\chardef\tab@rulestate‘¹–1Ž¡‘I±34Ž‘Sª®Ò\chardef\tab@prespcstate‘¹–2Ž¡‘I±35Ž‘Sª®Ò\chardef\tab@prestate‘¹–3ŽŽŸ’õÿ²27ŽŽŒ‹ÜV ª ýs o ý´‘I±36Ž‘Sª®Ò\chardef\tab@colstate‘¹–4Ž¤ ‘I±37Ž‘Sª®Ò\chardef\tab@poststate‘¹–5Ž¡‘I±38Ž‘Sª®Ò\chardef\tab@postspcstate‘¹–6Ž¡‘I±39Ž‘Sª®Ò\chardef\tab@limitstate‘¹–7Ž©þ6‘IÏ2.4Ž‘gÀAdding–€things“to“tok en“listsŽŸuT‘I²De ne–0…some“macros“for“adding“stu “to“the“bGeginning“and“end“of“tok¸ãen“lists.‘e‚ThisŽŸ ‘Iis–UUreally“easy›ÿ*ª,“actually˜.‘qÇHere“w¸ãe“go.ŽŸ‘I±40Ž‘Sª®Ò\def\tab@append#1#2{#1\expandafter{\the#1#2}}Ž¡‘I±41Ž‘Sª®Ò\def\tab@prepend#1#2{%Ž¡‘I±42Ž‘]ÚÒ\toks@{#2}#1\expandafter{\the\expandafter\toks@\the#1}%Ž¡‘I±43Ž‘Sª®Ò}Ž¦‘IÏ2.5Ž‘gÀCommitting–€a“column“to“the“pream bleŽŸuT‘I²Eacš¸ãh–—2time“w˜e“pass“the“`rule'“state,‘§©w˜e“`commit'“the“tok˜ens“w˜e'v˜e“gathered“so“farŽ¤ ‘Ito– Ythe“main“preamš¸ãble“tok˜en“list.‘RÓThis“is“ho˜w“w˜e“do“it.‘RÓNote“the“ic˜ky“use“ofŽ¡‘IÊ\expandafter².Ž¤‘I±44Ž‘Sª®Ò\def\tab@commit{%Ž©‘X²If–UUthis“isn't“the“ rst“column,“then“w¸ãe“need“to“put“in“a“column“separator.Ž¡‘I±45Ž‘]ÚÒ\iftab@firstcol\else%Ž¤ ‘I±46Ž‘f‘Ò\expandafter\tab@append\expandafter\tab@preamble%Ž¡‘I±47Ž‘p2Ò\expandafter{\tab@tabtext}%Ž¡‘I±48Ž‘]ÚÒ\fi%Ž¦‘X²No•¸ãw›¤w“e˜spill˜the˜tok“en˜registers˜in“to˜the˜main˜list˜in˜a˜funn“y˜order˜(whic“h˜isŽŸ ‘Iwh•¸ãy›UUw“e're˜doing˜it˜in˜this˜strange˜w“a“y˜in˜the˜ 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‘vif‘UUÍtab‘;0‰ffŽ‘;2initR¾“ule‘°ÉthenŽ¡’€Ítab‘;0‰ffŽ‘;2initR¾“ule‘‡s²=‘ÇÉfalseŽ‘â²;Ž¡‘vÉelseŽ¡’€if‘UUÍtab‘;0‰ffŽ‘;2inMultiCol‘]ÞÉthen‘ÕTmoan²;Ž¡’€Íc‘ÿ}'ommit‘òز;Ž¡’€Íapp‘ÿ}'end‘‰²(Ítab‘;0‰ffŽ‘;2shortLine‘À[µ;‘ª¨²`Ê&\omit²')Ž‘*œ_;Ž¡‘vÉend‘ê­if²;Ž¡‘lÉend‘ê­if²;Ž¡‘lÉif–UUÍtab‘;0‰ffŽ›;2state‘‡s¸6²=‘ÇÍs‘'vÉthen“Ído‘;0‰ffŽ˜default‘òز(Ítab‘;0‰ffŽ˜state‘À[²);Ž¡‘bÉend‘ê­while²;ŽŸkÊ‘XFirst–NFwš¸ãe“decide“if“there's“an˜ything“to“do.‘omIf“so,‘O°w˜e“call“another“macro“to“do“itŽ¡‘Ifor‘UUus.Ž©^Q‘I±62Ž‘Sª®Ò\def\tab@setstate#1{%Ž¤ ‘I±63Ž‘]ÚÒ\ifnum#1=\tab@state\else%Ž¡‘I±64Ž‘f‘Ò\def\@tempa{\tab@setstate@i{#1}}%Ž¡‘I±65Ž‘f‘Ò\@tempa%Ž¡‘I±66Ž‘]ÚÒ\fi%Ž¡‘I±67Ž‘Sª®Ò}ŽŸ^Q‘X²This–Vois“where“the“fun“is.‘uFirst“wš¸ãe“bump“the“state“b˜y“one,‘Vµand“loGop“bac˜k“if“w˜eŽŸ ‘Ifall–UUo “the“end.Ž¦‘I±68Ž‘Sª®Ò\def\tab@setstate@i#1{%Ž¡‘I±69Ž‘]ÚÒ\global\advance\tab@state\@ne%Ž¡‘I±70Ž‘]ÚÒ\ifnum\tab@state>\tab@limitstate%Ž¡‘I±71Ž‘f‘Ò\global\tab@state\tab@loopstate%Ž¡‘I±72Ž‘]ÚÒ\fi%ŽŸ^Q‘X²No•¸ãw,‘w+if›pgw“e'v“e˜just˜passed˜the˜ruleo ˜state,‘w+w“e˜commit˜the˜curren“t˜text˜ÍunlessŽ¤ ‘I²this–ÑÄwš¸ãas“the“strange“initial“rule“at“the“v˜ery“bGeginning.‘çW‘ÿ*ªe“pro˜vide“a“little“hoGokŽ¡‘Ihere–ª(so“that“Ê\multicolumn“²can“moan“if“yš¸ãou“try“and“giv˜e“more“than“one“columnŽ¡‘Ithere.‘qÇW‘ÿ*ªe–UUalso“add“another“tab/omit“pair“to“the“list“w¸ãe“use“for“Ê\vgap².Ž¦‘I±73Ž‘]ÚÒ\ifnum\tab@state=\tab@prespcstate%Ž¤ ‘I±74Ž‘f‘Ò\iftab@initrule%Ž¡‘I±75Ž‘p2Ò\tab@initrulefalse%Ž¡‘I±76Ž‘f‘Ò\else%Ž¡‘I±77Ž‘p2Ò\tab@looped%Ž¡‘I±78Ž‘p2Ò\tab@commit%Ž¡‘I±79Ž‘p2Ò\tab@append\tab@shortline{&\omit}%Ž¡‘I±80Ž‘f‘Ò\fi%Ž¡‘I±81Ž‘]ÚÒ\fi%ŽŸ^Q‘X²No•¸ãw›\Uw“e˜decide˜whether˜to˜go˜round˜again.‘†ÇIf˜not,‘^w“e˜do˜the˜default˜thing˜forŽ¤ ‘Ithis–,'state.‘d This“is“mainly“here“so“that“wš¸ãe“can“put“the“Ê\tabcolsep“²or“whatev˜er“inŽ¡‘Iif–UUthe“user“didn't“giv¸ãe“an“`Ê@²'Ž‘xáexpression.Ž¦‘I±82Ž‘]ÚÒ\ifnum#1=\tab@state%Ž¤ ‘I±83Ž‘f‘Ò\let\@tempa\relax%Ž¡‘I±84Ž‘]ÚÒ\else%Ž¡‘I±85Ž‘f‘Ò\csname‘¹–tab@default@\number\tab@state\endcsname%Ž¡‘I±86Ž‘]ÚÒ\fi%Ž¡‘I±87Ž‘]ÚÒ\@tempa%Ž¡‘I±88Ž‘Sª®Ò}ŽŽŸ’õÿ²29ŽŽŒ‹ôJ ª ýs o ý´‘X²No•¸ãw›UUw“e˜set˜up˜the˜default˜actions˜for˜the˜v‘ÿqÇarious˜states.Ž¤ ‘XIn–3þstate“2“(pre-space)“wš¸ãe“add“in“the“default“gap“if“either“w˜e“didn't“ha˜v˜e“an“`Ê@²'ŽŽ¡‘Iexpression–UUin“the“pGost-space“state“or“there“wš¸ãas“an“explicit“in˜terv˜ening“rule.Ž©I‘I±89Ž‘Sª®Ò\@namedef{tab@default@2}{%Ž¤ ‘I±90Ž‘]ÚÒ\iftab@rule%Ž¡‘I±91Ž‘f‘Ò\tab@append\tab@pretext{\hskip\col@sep}%Ž¡‘I±92Ž‘]ÚÒ\fi%Ž¡‘I±93Ž‘Sª®Ò}ŽŸI‘X²If–ÿýthe“user“omits“the“column“t•¸ãypšGe,‘*§w“e–ÿýinsert“an“`l'-t¸ãyp˜e“column“and“moan“aŽŸ ‘Ilot.Ž¦‘I±94Ž‘Sª®Ò\@namedef{tab@default@4}{%Ž¡‘I±95Ž‘]ÚÒ\tab@err@misscol%Ž¡‘I±96Ž‘]ÚÒ\tab@append\tab@pretext{\tab@bgroup\relax}%Ž¡‘I±97Ž‘]ÚÒ\tab@append\tab@posttext{\relax\tab@egroup\hfil}%Ž¡‘I±98Ž‘]ÚÒ\tab@append\tab@shortline{\hfil}%Ž¡‘I±99Ž‘]ÚÒ\advance\tab@columns\@ne%Ž¡‘E±100Ž‘Sª®Ò}ŽŸI‘X²Finally–|:wš¸ãe“deal“with“the“pGost-space“state.‘ævW‘ÿ*ªe“set“a“mark˜er“so“that“w˜e“put“inŽŸ ‘Ithe–UUdefault“space“in“the“pre-space“state“later“toGo.Ž¦‘E±101Ž‘Sª®Ò\@namedef{tab@default@6}{%Ž¡‘E±102Ž‘]ÚÒ\tab@append\tab@posttext{\hskip\col@sep}%Ž¡‘E±103Ž‘]ÚÒ\tab@ruletrue%Ž¡‘E±104Ž‘Sª®Ò}ŽŸ¯y‘IÏ2.7Ž‘gÀDeclaring–€tokš en“t˜yp`esŽŸuT‘ÙÌÒ\tab@extracolŽŽŽ‘I²Before–¯Awš¸ãe“start,‘żw˜e“need“to“handle“Ê\extracolsep².‘ŒThis“is“a“righ˜t“pain,‘żbGecauseŽ¤ ‘Ithe–³Çoriginal“vš¸ãersion“of‘zäËtabula˜r‘×T²w˜ork˜ed“on“total“expansion,‘Ëcwhic˜h“is“a“Bad“Thing.Ž¡‘IOn–UUthe“other“hand,“turning“Ê\extracolsep“²in¸ãto“a“Ê\tabskip“²is“also“a“ma‘Ž8jor“pain.Ž¦‘E±105Ž‘Sª®Ò\def\tab@extracol#1#2{\tab@extracol@i#1#2\extracolsep{}\extracolsep\end}Ž¤ ‘E±106Ž‘Sª®Ò\def\tab@extracol@i#1#2\extracolsep#3#4\extracolsep#5\end{%Ž¡‘E±107Ž‘]ÚÒ\ifx‘¹–@#3@%Ž¡‘E±108Ž‘f‘Ò\def\@tempa{#1{#2}}%Ž¡‘E±109Ž‘]ÚÒ\else%Ž¡‘E±110Ž‘f‘Ò\def\@tempa{#1{#2\tabskip#3\relax#4}}%Ž¡‘E±111Ž‘]ÚÒ\fi%Ž¡‘E±112Ž‘]ÚÒ\@tempa%Ž¡‘E±113Ž‘Sª®Ò}Ž¤í®‘X²This–UUis“where“wš¸ãe“do“the“w˜ork“for“inserting“pream˜ble“elemen˜ts.Ž¡‘“bÒ\tabruletypeŽŽŽ‘I²Inserting–<œrules“is“inš¸ãteresting,‘vnbGecause“w˜e“ha˜v˜e“to“decide“where“to“put“them.‘'IfŽ¤ ‘Ithis–Ð'is“the“funn¸ãy“initial“rule,›îÛit“goGes“in“the“pre-text“list,˜otherwise“it“goGes“in“theŽ¡‘IpGost-text–UUlist.‘qÇW‘ÿ*ªe“w¸ãork“out“what“to“do“ rst“thing:Ž¦‘E±114Ž‘Sª®Ò\def\tabruletype#1{\tab@extracol\tabruletype@i{#1}}%Ž¤ ‘E±115Ž‘Sª®Ò\def\tabruletype@i#1{%Ž¡‘E±116Ž‘]ÚÒ\iftab@initrule%Ž¡‘E±117Ž‘f‘Ò\let\tab@tok\tab@pretext%Ž¡‘E±118Ž‘]ÚÒ\else%Ž¡‘E±119Ž‘f‘Ò\let\tab@tok\tab@posttext%Ž¡‘E±120Ž‘]ÚÒ\fi%ŽŽŸ’õÿ²30ŽŽŒ‹þ6 ª ýs o ý´‘X²Noš¸ãw–!if“w˜e're“already“in“the“rule“state,‘ATw˜e“m˜ust“ha˜v˜e“just“done“a“rule.‘¨,ThisŽ¤ ‘Imeans–Rwš¸ãe“m˜ust“put“in“the“Ê\doublerulesep“²space,‘R«bGoth“here“and“in“the“shortlineŽ¡‘Ilist.‘qÇOtherwise–UUwš¸ãe“just“stic˜k“the“rule“in.Ž¡‘XThis–$is“complicated,‘-XbšGecause“Ê\vgap“²needs“to“b˜e“able“to“remo•¸ãv“e–$some“bits“ofŽ¡‘Irule.‘á¯W‘ÿ*ªe–z¢pass“eacš¸ãh“one“to“a“macro“Ê\tab@ckr²,‘ƒötogether“with“the“column“n˜um˜bGer,Ž¡‘Iwhicš¸ãh–ÍÓis“carefully“bumpGed“at“the“righ˜t“times,‘èîand“this“macro“will“v˜et“the“rules“andŽ¡‘Ioutput–˜äthe“appropriate“ones.‘\tab@prespcstate%Ž¡‘E±142Ž‘f‘Ò\tab@setstate\tab@postspcstate%Ž¡‘E±143Ž‘f‘Ò\let\tab@tok\tab@posttext%Ž¡‘E±144Ž‘]ÚÒ\else%Ž¡‘E±145Ž‘f‘Ò\tab@setstate\tab@prespcstate%Ž¡‘E±146Ž‘f‘Ò\let\tab@tok\tab@pretext%Ž¡‘E±147Ž‘]ÚÒ\fi%Ž¡‘E±148Ž‘]ÚÒ\tab@append\tab@tok{\begingroup#1\endgroup}%Ž¡‘E±149Ž‘Sª®Ò}ŽŸ‘ Lø\tabcoltypeŽŽŽ‘I²If–H,wš¸ãe're“already“in“the“column“state,‘JÍw˜e“bump“the“state“and“loGop“round“again,‘JÍtoŽ¤ ‘Iget–Gall“the“appropriate“default“bGehaš¸ãviour.‘]ÂW‘ÿ*ªe“bump“the“column“coun˜ter,‘%Iand“addŽ¡‘Ithe–‘bits“of“text“wš¸ãe“w˜ere“giv˜en“to“appropriate“tok˜en“lists.‘&yW‘ÿ*ªe“also“add“the“Ê\hfilŽ¡‘I²glue–UUto“the“shortline“list,“to“space“out“the“rules“propGerly‘ÿ*ª.Ž¦‘E±150Ž‘Sª®Ò\def\tabcoltype#1#2{%Ž¤ ‘E±151Ž‘]ÚÒ\ifnum\tab@state=\tab@colstate%Ž¡‘E±152Ž‘f‘Ò\global\advance\tab@state\@ne%Ž¡‘E±153Ž‘]ÚÒ\fi%ŽŽŸ’õÿ²31ŽŽŒ‹ î ª ýs o ý´‘E±154Ž‘]ÚÒ\advance\tab@columns\@ne%Ž¤ ‘E±155Ž‘]ÚÒ\tab@setstate\tab@colstate%Ž¡‘E±156Ž‘]ÚÒ\tab@append\tab@pretext{#1}%Ž¡‘E±157Ž‘]ÚÒ\tab@append\tab@posttext{#2}%Ž¡‘E±158Ž‘]ÚÒ\tab@append\tab@shortline{\hfil}%Ž¡‘E±159Ž‘Sª®Ò}ŽŸ‘øf \tabuserpretypeŽŽŸ ‘ó­ \tabuserposttypeŽŽŽŽŽ‘I²These–UUare“bGoth“utterly“trivial.Ž©‘E±160Ž‘Sª®Ò\def\tabuserpretype#1{%Ž¡‘E±161Ž‘]ÚÒ\tab@setstate\tab@prestate%Ž¡‘E±162Ž‘]ÚÒ\tab@prepend\tab@userpretext{#1}%Ž¡‘E±163Ž‘Sª®Ò}Ž¦‘E±164Ž‘Sª®Ò\def\tabuserposttype#1{%Ž¡‘E±165Ž‘]ÚÒ\tab@setstate\tab@poststate%Ž¡‘E±166Ž‘]ÚÒ\tab@prepend\tab@posttext{#1}%Ž¡‘E±167Ž‘Sª®Ò}ŽŸþ6‘IÏ2.8Ž‘gÀThe–€colset“stac kŽŸuT‘I²Let's–±Sstart“with“something“fairly“easy–ÿ*ª.‘…ÀW“e'll–±Skš¸ãeep“a“stac˜k“of“column“sets“so“thatŽ¤ ‘Iusers–ˆÅdon't“get“confused“bš¸ãy“pac˜k‘ÿqÇage“authors“c˜hanging“the“curren˜t“column“set.‘-—ThisŽ¡‘Iis–UUfairly“easy›ÿ*ª,“really˜.ŽŸ‘À$Ò\tab@pushŽŽ¡‘yº\tab@popŽŽŽŽ¡¡‘À$\tab@headŽŽŽŽŽ‘I²These–Ä]are“the“stacš¸ãk“managemen˜t“routines.‘¾ßThe“only“impGortan˜t“thing“to“noteŽ¡‘Iis–Ðãthat“Ê\tab@head“²mš¸ãust“tak˜e“place“Íonly‘³`²in“T‘þU>Ÿ'EŽ‘ãxX's“mouth,‘/Æso“w˜e“can“use“it“inŽ¡‘IÊ\csname².–ªª.“.“Ê\endcsname‘UU²constructions.Ž¦‘E±168Ž‘Sª®Ò\def\tab@push#1#2{%Ž¤ ‘E±169Ž‘]ÚÒ\toks@{{#2}}%Ž¡‘E±170Ž‘]ÚÒ\expandafter\def\expandafter#1\expandafter{\the\expandafter\toks@#1}%Ž¡‘E±171Ž‘Sª®Ò}Ž¡‘E±172Ž‘Sª®Ò\def\tab@pop#1{\expandafter\def\expandafter#1\expandafter{\@gobble#1}}Ž¡‘E±173Ž‘Sª®Ò\def\tab@head#1{\expandafter\tab@head@i#1\relax}Ž¡‘E±174Ž‘Sª®Ò\def\tab@head@i#1#2\relax{#1}ŽŸ‘3P\colsetŽŽŸ ‘yº\colpushŽŽŽŽ¤ ¡‘3P\colpopŽŽŽŽŽ‘I²No•¸ãw›UUw“e˜can˜de ne˜the˜user˜macros.Ž¦‘E±175Ž‘Sª®Ò\def\tab@colstack{{tabular}}Ž¡‘E±176Ž‘Sª®Ò\def\colset{\colpop\colpush}Ž¡‘E±177Ž‘Sª®Ò\def\colpush{\tab@push\tab@colstack}Ž¡‘E±178Ž‘Sª®Ò\def\colpop{\tab@pop\tab@colstack}ŽŸ‘ Lø\tab@colsetŽŽŽ‘I²No•¸ãw›UUw“e˜de ne˜a˜shortcut˜for˜reading˜the˜top˜item˜o ˜the˜stac“k.Ž¦‘E±179Ž‘Sª®Ò\def\tab@colset{\tab@head\tab@colstack}ŽŸþ6‘IÏ2.9Ž‘gÀThe–€main“parser“routineŽŸuT‘ÙÌÒ\tab@initreadŽŽŽ‘I²This–ÕÔmacro“sets“up“lots“of“v‘ÿqÇariables“to“their“normal“states“prior“to“parsing“aŽŸ ‘Ipreamš¸ãble.‘qÇSome–UUthings“ma˜y“need“c˜hanging,“but“not“man˜y‘ÿ*ª.Ž¦‘E±180Ž‘Sª®Ò\def\tab@initread{%ŽŸ‘X²First,–UUreset“the“parser“state“to“the“start“state.Ž¦‘E±181Ž‘]ÚÒ\global\tab@state\tab@startstate%ŽŽŸ’õÿ²32ŽŽŒ‹!ç ª ýs o ý´‘X²W›ÿ*ªe–«kclear“the“tok¸ãen“lists“to“sensible“v‘ÿqÇalues,‘Ígmostly˜.‘9$The“midtext“macro“con¸ãtainsŽ¤ ‘Iwhat–ë¯to“put“in“the“vš¸ãery“middle“of“eac˜h“template“{“Ê\multicolumn“²will“insert“itsŽ¡‘Iargumen¸ãt‘UUhere.Ž©®‘E±182Ž‘]ÚÒ\tab@preamble{}%Ž¤ ‘E±183Ž‘]ÚÒ\tab@shortline{}%Ž¡‘E±184Ž‘]ÚÒ\def\tab@tabtext{&}%Ž¡‘E±185Ž‘]ÚÒ\def\tab@midtext{\ignorespaces####\@maybe@unskip}%Ž¡‘E±186Ž‘]ÚÒ\tab@pretext{}%Ž¡‘E±187Ž‘]ÚÒ\tab@userpretext{}%Ž¡‘E±188Ž‘]ÚÒ\tab@posttext{}%Ž¡‘E±189Ž‘]ÚÒ\let\tab@multicol\@empty%Ž¡‘E±190Ž‘]ÚÒ\def\tab@startpause{\penalty\postdisplaypenalty\medskip}%Ž¡‘E±191Ž‘]ÚÒ\def\tab@endpause{\penalty\predisplaypenalty\medskip}%ŽŸ®‘X²Finally‘ÿ*ª,›²™reset–l¿the“column“coun¸ãter,˜don't“raise“errors“when“w¸ãe“loGop,˜and“setŽŸ ‘Isome–UUparser“ ags“to“their“appropriate“v‘ÿqÇalues.Ž¦‘E±192Ž‘]ÚÒ\tab@columns\z@%Ž¡‘E±193Ž‘]ÚÒ\let\tab@looped\relax%Ž¡‘E±194Ž‘]ÚÒ\tab@ruletrue%Ž¡‘E±195Ž‘]ÚÒ\tab@initruletrue%Ž¡‘E±196Ž‘]ÚÒ\tab@firstcoltrue%Ž¡‘E±197Ž‘Sª®Ò}ŽŸ…‘îót\tab@readpreambleŽŽŽ‘I²This–§(is“the“main“macro“for“pream¸ãble“handling.‘g?Actually‘ÿ*ª,‘»œall“it“doGes“is“gobble“itsŽŸ ‘Iargumenš¸ãt's–UUleading“brace“and“call“another“macro,“but“it“doGes“it“with“st˜yle.Ž¦‘E±198Ž‘Sª®Ò\def\tab@readpreamble#1{%Ž¡‘E±199Ž‘]ÚÒ\tab@doreadpream{#1}%Ž¡‘E±200Ž‘]ÚÒ\iftab@initrule\global\tab@state\tab@prespcstate\fi%Ž¡‘E±201Ž‘]ÚÒ\tab@setstate\tab@rulestate%Ž¡‘E±202Ž‘]ÚÒ\tab@commit%Ž¡‘E±203Ž‘Sª®Ò}ŽŸ…‘ó­ \tab@doreadpreamŽŽŽ‘I²The–Opreamš¸ãble“is“in“an“argumen˜t.‘oÚPrevious“v˜ersions“used“a“nast˜y“tric˜k“using“Ê\letŽ¤ ‘I²and–˜FÊ\afterassignment².‘2ÃNoš¸ãw“w˜e“use“an“explicit“end“tok˜en,‘¾to“allo˜w“doGdgy“columnŽ¡‘It¸ãypšGe–RÏhandlers“to“sco˜op“up“the“remaining“preamš¸ãble“tok˜ens“and“proGcess“them.‘pðNotŽ¡‘Ithat›h$an•¸ãy“one˜w“ould˜w“an“t˜to˜do˜that,‘lØoh˜no˜(see˜the˜`Ê[²'Ž‘žt“ypGe˜in˜the˜Ëeqna“rra“y‘‹±²en“vir-Ž¡‘Ionmen¸ãt‘UUÊ;-)²).Ž¦‘E±204Ž‘Sª®Ò\def\tab@doreadpream#1{\tab@mkpreamble#1\q@delim}ŽŸ…‘øf \tab@mkpreambleŽŽŽ‘I²This–¢¤is“the“main“parser“routine.‘67It“takš¸ães“eac˜h“tok˜en“in“turn,‘Æascrutinises“it“carefully‘ÿ*ª,Ž¡‘Iand–UUdoGes“the“appropriate“thing“with“it.Ž¡‘XThe–†¥preamš¸ãble“w˜as“giv˜en“as“an“argumen˜t“to“Ê\tab@doreadpream²,‘’øand“that“hasŽ¡‘Ihelpfully–¾6strippGed“o “the“initial“Ê{“²cš¸ãharacter.‘¬kW‘ÿ*ªe“need“to“pic˜k“o “the“next“tok˜enŽ¡‘I(whatevš¸ãer–J9it“is)“so“w˜e“can“examine“it.‘PsW‘ÿ*ªe'll“use“Ê\futurelet“²so“w˜e“can“detectŽ¡‘Igroups–UUand“things“in“funn¸ãy“places.Ž¦‘E±205Ž‘Sª®Ò\def\tab@mkpreamble{\futurelet\@let@token\tab@mkpreamble@i}ŽŸ®‘X²If–€swš¸ãe“ nd“a“space“tok˜en,‘Ë:w˜e'll“go“o “and“do“something“a“bit“spGecial,‘Ë:sinceŽ¡‘Ispaces–UUare“sort“of“hard“to“handle.‘qÇOtherwise“wš¸ãe'll“do“it“in“the“old“fashioned“w˜a˜y‘ÿ*ª.Ž¦‘E±206Ž‘Sª®Ò\def\tab@mkpreamble@i{%Ž¤ ‘E±207Ž‘]ÚÒ\ifx\@let@token\@sptoken%Ž¡‘E±208Ž‘f‘Ò\expandafter\tab@mkpreamble@spc%ŽŽŸ’õÿ²33ŽŽŒ‹". ª ýs o ý´‘E±209Ž‘]ÚÒ\else%Ž¤ ‘E±210Ž‘f‘Ò\expandafter\tab@mkpreamble@ii%Ž¡‘E±211Ž‘]ÚÒ\fi%Ž¡‘E±212Ž‘Sª®Ò}Ž©--‘X²If–ŒOwš¸ãe“ nd“a“Ê\@@endpreamble“²tok˜en,‘´„that's“it“and“w˜e're“ nished.‘.ÆW‘ÿ*ªe“just“gobbleŽ¤ ‘Iit–…band“return.‘îOtherwise,›‘eif“it's“an“opGen“group“c•¸ãharacter,˜w“e'll–…bcomplain“bGecauseŽ¡‘Isomeone's–Aúprobably“tried“to“put“an“argumen¸ãt“in“the“wrong“place.‘kSFinally‘ÿ*ª,‘EÙif“noneŽ¡‘Iof–UUthe“other“things“apply‘ÿ*ª,“wš¸ãe'll“deal“with“the“c˜haracter“bGelo˜w.ŽŸ--‘E±213Ž‘Sª®Ò\def\tab@mkpreamble@ii{%Ž¤ 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ned“the“column“tš¸ãypGe“w˜e'll“just“skip“it“silen˜tly‘ÿ*ª,‘¯Åwhic˜h“lets“users“doŽ¡‘Iprettš¸ãy–UUformatting“if“they“lik˜e.Ž©--‘E±233Ž‘Sª®Ò\@namedef{tab@mkpreamble@spc}‘¹–{%Ž¤ ‘E±234Ž‘]ÚÒ\@ifundefined{\tab@colset!col.‘¹–}{%Ž¡‘E±235Ž‘f‘Ò\tab@mkpreamble%Ž¡‘E±236Ž‘]ÚÒ}{%Ž¡‘E±237Ž‘f‘Ò\@nameuse{\tab@colset!col.‘¹–}%Ž¡‘E±238Ž‘]ÚÒ}%Ž¡‘E±239Ž‘Sª®Ò}ŽŸÃÄ‘3P\coldefŽŽŽ‘I²Here's–/fhoš¸ãw“to“de ne“column“t˜ypGes“the“nice“w˜a˜y‘ÿ*ª.‘ÿùSome“dexterit˜y“is“required“toŽŸ ‘Imak•¸ãe›UUev“erything˜w“ork˜righ“t,˜but˜it's˜simple˜really‘ÿ*ª.Ž¦‘E±240Ž‘Sª®Ò\def\coldef{\@ifnextchar[\coldef@i{\coldef@i[\tab@colset]}}Ž¡‘E±241Ž‘Sª®Ò\def\coldef@i[#1]#2#3#{\coldef@ii[#1]{#2}{#3}}Ž¡‘E±242Ž‘Sª®Ò\def\coldef@ii[#1]#2#3#4{%Ž¡‘E±243Ž‘]ÚÒ\expandafter\def\csname#1!col.\string#2\endcsname#3{%Ž¡‘E±244Ž‘f‘Ò#4\tab@mkpreamble%Ž¡‘E±245Ž‘]ÚÒ}%Ž¡‘E±246Ž‘Sª®Ò}ŽŽŸ’õÿ²34ŽŽŒ‹#+~ ª ýs o ý´‘3PÒ\colletŽŽŽ‘I²W‘ÿ*ªe'd–Âlikš¸ãe“to“let“pGeople“cop˜y“column“t˜ypGes“from“other“places.‘Z–This“is“ho˜w“to“do“it.Ž©‘E±247Ž‘Sª®Ò\def\collet{\@ifnextchar[\collet@i{\collet@i[\tab@colset]}}Ž¤ 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xed“v‘ÿqÇalues“of“glue“onŽ¡‘beither–UUside.‘qÇThis“is“fairly“easy‘ÿ*ª,“and“forces“the“table“to“the“required“width.Ž¦‘XFirst,‘set–Éup“the“left“and“righš¸ãt“glues“to“represen˜t“the“prev‘ÿqÇailing“margins“set“upŽ¡‘Ib•¸ãy‘xâËlist›UU²en“vironmen“ts.‘qÇI˜think˜this˜is˜the˜righ“t˜thing˜to˜do.ŽŸ‘E±510Ž‘f‘Ò\tab@leftskip\@totalleftmargin%Ž¤ ‘E±511Ž‘f‘Ò\tab@rightskip\hsize%Ž¡‘E±512Ž‘f‘Ò\advance\tab@rightskip-\linewidth%Ž¡‘E±513Ž‘f‘Ò\advance\tab@rightskip-\@totalleftmargin%ŽŽŸ’õÿ²43ŽŽŒ‹,ŠÔ ª ýs o ý´‘X²First–^`of“all,› ¢deal“with“the“simple“case.‘ŒçI'm“using“10000‘ª® ll“glue“here,˜in“anŽ¤ ‘Iattempt–d3to“suppress“Ê\extracolsep“²glue“from“making“the“table“the“wrong“width.Ž¡‘IIt–UUcan“alw•¸ãa“ys–UUuse“ lll“glue“if“it“really“needs“to,“though.Ž©‘E±514Ž‘f‘Ò\ifdim\tab@width=\z@%Ž¤ ‘E±515Ž‘p2Ò\if#1L\else\advance\tab@leftskip\z@\@plus10000fill\fi%Ž¡‘E±516Ž‘p2Ò\if#1R\else\advance\tab@rightskip\z@\@plus10000fill\fi%ŽŸ‘X²No¸ãw–ßfor“the“fun“bit.›øThis“isn't“toGo“hard“really‘ÿ*ª.˜The“extra“space“I‘Þím¸ãust“addŽ¤ ‘Iaround–Áhthe“table“adds“up“to“Ê\linewidthŽ‘:Â6¸‘€ìÊ\tab@widthŽ‘7β.‘¶I‘ÁLjust“need“to“add“thisŽ¡‘Ion¸ãto–UUthe“appropriate“sides“of“the“table.Ž¦‘E±517Ž‘f‘Ò\else%Ž¤ ‘E±518Ž‘p2Ò\dimen@\linewidth%Ž¡‘E±519Ž‘p2Ò\advance\dimen@-\tab@width%Ž¡‘E±520Ž‘p2Ò\if#1L\advance\tab@rightskip\dimen@\fi%Ž¡‘E±521Ž‘p2Ò\if#1R\advance\tab@leftskip\dimen@\fi%Ž¡‘E±522Ž‘p2Ò\if#1C%Ž¡‘E±523Ž‘yw^Ò\advance\tab@leftskip.5\dimen@%Ž¡‘E±524Ž‘yw^Ò\advance\tab@rightskip.5\dimen@%Ž¡‘E±525Ž‘p2Ò\fi%Ž¡‘E±526Ž‘f‘Ò\fi%ŽŸ‘X²Don't–Y3alloš¸ãw“page“breaks.‘}`Da˜vid“Carlisle's“w˜onderful“Ëlongtable“²pac˜k‘ÿqÇage“doGesŽ¤ ‘Ipage–]breaks“far“bšGetter“than“I‘Hcould“p˜ossibly“do“here,‘õand“w¸ãe're“compatible“with“itŽ¡‘I(w¸ãahey!).Ž¦‘E±527Ž‘f‘Ò\def\tab@penalty{\penalty\@M}%ŽŸ‘X²Finally‘ÿ*ª,–UUset“the“new“width“of“the“table,“and“lea•¸ãv“e.Ž¦‘E±528Ž‘f‘Ò\tab@width\hsize%Ž¤ ‘E±529Ž‘]ÚÒ\fi%Ž¡‘E±530Ž‘Sª®Ò}ŽŸþ6‘IÉ2.14.5Ž‘qã€Handling–ÕTtops“and“bQÇottomsŽŸuT‘I²This–‚ëis“ho¸ãw“the“tops“and“bGottoms“of“tables“are“made“to“line“up“with“the“text“onŽ¤ ‘Ithe–Îsame“line,›éin“the“presence“of“arbitrary“rules“and“space.‘DßThe“old“methoGd,˜basedŽ¡‘Ion–¢‘the“w•¸ãa“y–¢‘the“Ëa•¸ãrra“y‘Ʋpac“k‘ÿqÇage›¢‘w“ork“ed,‘ÆRw“asn't˜terribly˜go•Go“d.‘61This˜new˜v¸ãersion˜cop“esŽ¡‘Im•¸ãuc“h–UUbGetter“with“almost“anš¸ãything“that“gets“thro˜wn“at“it.Ž¡‘XI'll–Ï*kš¸ãeep“a“state“in“a“macro“(Ê\tab@hlstate²),‘íŸwhic˜h“tells“me“what“I'm“mean˜tŽ¡‘Ito–ECbšGe“doing.‘A‘The“p˜ossible“v‘ÿqÇalues“are“`Ên²'Ž‘z,‘>whicš¸ãh“means“I‘Edon't“ha˜v˜e“to“do“an˜y-Ž¡‘Ithing,‘-`Êt²'Ž‘ âd,‘-whicš¸ãh–ãmeans“that“I'm“mean˜t“to“bGe“handling“top-aligned“tables,‘-and“`Êb²'Ž‘ Ò,Ž¡‘Iwhicš¸ãh–V6means“that“I'm“mean˜t“to“bšGe“lining“up“the“b˜ottom.‘tjThere“are“sev¸ãeral“otherŽ¡‘I`substates'–UUwhicš¸ãh“ha˜v˜e“v‘ÿqÇarious“magic“meanings.Ž¦‘E±531Ž‘Sª®Ò\def\tab@hlstate{n}ŽŸ‘X²When–»all's“said“and“done,‘ÙïI‘ºîextract“the“bGoš¸ãx“con˜taining“the“table,‘Ùïand“pla˜y“withŽ¡‘Ithe–UUheighš¸ãt“and“depth“to“try“and“mak˜e“it“correct.ŽŸ‘ê9ÞÒ\tab@addruleheightŽŽŽ‘I²This–¦macro“is“called“bš¸ãy“`in˜ter-ro˜w'“things“to“add“their“heigh˜t“to“our“dimen“register.Ž¡‘XOnly–UUdo“this“if“the“state“indicates“that“it's“sensible.Ž¦‘E±532Ž‘Sª®Ò\def\tab@addruleheight#1{%Ž¤ ‘E±533Ž‘]ÚÒ\if\tab@hlstate‘¹–n\else%Ž¡‘E±534Ž‘f‘Ò\global\advance\tab@endheight#1\relax%ŽŽŸ’õÿ²44ŽŽŒ‹-•, ª ýs o ý´‘E±535Ž‘]ÚÒ\fi%Ž© ‘E±536Ž‘Sª®Ò}ŽŸ¥Á‘ÙÌ\tab@startrowŽŽŽ‘I²This–š‡is“called“at“the“start“of“a“roš¸ãw,‘¿ãfrom“within“the“arra˜y“pream˜ble.‘3ƒCurren˜tly‘ÿ*ª,‘¿ãthisŽ¤ ‘Iassumes–þthat“the“ro¸ãws“aren't“bigger“than“their“struts:‘G›this“is“reasonable,‘ÜalthoughŽ¡‘Isligh¸ãtly–e-limiting,‘i#and“it“could“bšGe“done“b˜etter“if“I‘e)wš¸ãas“willing“to“rip“the“alignmen˜tŽ¡‘Iapart–UUand“put“it“bac¸ãk“together“again.ŽŸÃÖ‘E±537Ž‘Sª®Ò\def\tab@startrow{%Ž¦‘E±538Ž‘]ÚÒ\if\tab@hlstate‘¹–t%Ž¦‘E±539Ž‘f‘Ò\gdef\tab@hlstate{n}%Ž¦‘E±540Ž‘]ÚÒ\else\if\tab@hlstate‘¹–b%Ž¦‘E±541Ž‘f‘Ò\global\tab@endheight\dp\@arstrutbox%Ž¦‘E±542Ž‘]ÚÒ\fi\fi%Ž¦‘E±543Ž‘Sª®Ò}ŽŸ¥Á‘ý 6\tab@raisebaseŽŽŽ‘I²This–Þßmacro“is“called“at“the“end“of“it“all,‘Ato“set“the“heighš¸ãt“and“depth“of“the“bGo˜xŽ¡‘Icorrectly‘ÿ*ª.‘RèIt–ø¹sets“the“heighš¸ãt“to“Ê\tab@endheight²,‘ ?and“the“depth“to“ev˜erything“else.Ž¡‘IThe–UUbGoš¸ãx“is“in“Ê\box“²0“curren˜tly‘ÿ*ª.Ž¤ÃÖ‘E±544Ž‘Sª®Ò\def\tab@raisebase{%Ž¦‘E±545Ž‘]ÚÒ\global\advance\tab@endheight-\ht\z@%Ž¦‘E±546Ž‘]ÚÒ\raise\tab@endheight\box\z@%Ž¦‘E±547Ž‘Sª®Ò}ŽŸ¥Á‘ý 6\tab@lowerbaseŽŽŽ‘I²And,–UUfor“symmetry's“sakš¸ãe,“here's“ho˜w“to“set“the“bšGottom“prop˜erly“instead.Ž¡‘E±548Ž‘Sª®Ò\def\tab@lowerbase{%Ž¦‘E±549Ž‘]ÚÒ\global\advance\tab@endheight-\dp\z@%Ž¦‘E±550Ž‘]ÚÒ\lower\tab@endheight\box\z@%Ž¦‘E±551Ž‘Sª®Ò}ŽŸäO‘IÏ2.15Ž‘n€Breaking–€tables“in to“bitsŽŸuT‘I²Un•¸ãbGo“xed–~!tables“ha•¸ãv“e–~!a“wš¸ãonderful“adv‘ÿqÇan˜tage“o˜v˜er“bGo˜xed“ones:‘-y˜ou“can“stop“halfw˜a˜yŽ¤ ‘Ithrough–UUand“do“something“else“for“a“bit.‘qÇHere's“ho¸ãw:ŽŸ¥Á‘À$Ò\tabpauseŽŽŽ‘I²I'd–˜¦likš¸ãe“to“a˜v˜oid“forbidding“catcoGde“c˜hanges“here.‘;ºI'll“use“Ê\doafter“²no˜w“I'v˜e“gotŽ¡‘Iit,‘ÎÍto–­+ensure“that“colour“handling“and“things“oGccur“Íinside‘m†²the“Ê\noalign“²(otherwiseŽ¡‘Ithey'll–UUmess“up“the“alignmenš¸ãt“v˜ery“seriously).Ž¡‘XW‘ÿ*ªe›ú¨ha•¸ãv“e˜to˜bGe˜careful˜here˜to˜ensure˜that˜ev“erything˜w“orks˜correctly˜withinŽ¡‘Ilists.‘,é(The–é Ëamsmath“²pac¸ãk‘ÿqÇage“had“this“problem“in“its“Ê\intertext“²macro,‘ øso“I'mŽ¡‘Inot–UUalone“here.)ŽŸÃÖ‘E±552Ž‘Sª®Ò\def\tabpause#{%Ž¦‘E±553Ž‘]ÚÒ\noalign{\ifnum0=`}\fi%Ž¦‘E±554Ž‘]ÚÒ\@parboxrestore%Ž¦‘E±555Ž‘]ÚÒ\tab@startpause%Ž¦‘E±556Ž‘]ÚÒ\vskip-\parskip%Ž¦‘E±557Ž‘]ÚÒ\parshape\@ne\@totalleftmargin\linewidth%Ž¦‘E±558Ž‘]ÚÒ\noindent%Ž¦‘E±559Ž‘]ÚÒ\doafter\tabpause@i%Ž¦‘E±560Ž‘Sª®Ò}Ž¦‘E±561Ž‘Sª®Ò\def\tabpause@i{%Ž¦‘E±562Ž‘]ÚÒ\nobreak%Ž¦‘E±563Ž‘]ÚÒ\tab@endpause%ŽŽŸ’õÿ²45ŽŽŒ‹.¡€ ª ýs o ý´‘E±564Ž‘]ÚÒ\ifnum0=`{\fi}%Ž© ‘E±565Ž‘Sª®Ò}ŽŸþ6‘IÏ2.16Ž‘n€The–€wš onderful“w˜orld“of‘º«Û\multicolumnŽŸuT‘“bÒ\multicolumnŽŽŽ‘I²This–O¢is“actually“fanš¸ãtasitcally“easy–ÿ*ª.‘ `®W“atc˜h–O¢and“learn.‘ `®Mak˜e“sure“y˜ou“noticeŽ¤ ‘Ithe–1^Ê\long²s“here:‘)Úrememš¸ãbGer“that“some“table“cells“can“con˜tain“paragraphs,‘haso“itŽ¡‘Iseems–2sensible“to“alloš¸ãw“Ê\par“²in˜to“the“argumen˜t.‘¢_(As“far“as“I‘kno˜w,‘>êmost“otherŽ¡‘IÊ\multicolumn–¤È²commands“don't“do“this,›¸¥whic¸ãh“seems“a“little“silly‘ÿ*ª.‘` Then“again,˜IŽ¡‘Iforgot–UUto“do“it“the“ rst“time“around.)ŽŸ‘E±566Ž‘Sª®Ò\long\def\multicolumn#1#2#3{%Ž¦‘E±567Ž‘]ÚÒ\multispan{#1}%Ž¦‘E±568Ž‘]ÚÒ\begingroup%Ž¦‘E±569Ž‘f‘Ò\tab@multicol%Ž¦‘E±570Ž‘f‘Ò\tab@initread%Ž¦‘E±571Ž‘f‘Ò\tab@preamble{}%Ž¦‘E±572Ž‘f‘Ò\long\def\tab@midtext{#3}%Ž¦‘E±573Ž‘f‘Ò\let\tab@looped\tab@err@multi%Ž¦‘E±574Ž‘f‘Ò\tab@readpreamble{#2}%Ž¦‘E±575Ž‘f‘Ò\the\tab@preamble%Ž¦‘E±576Ž‘]ÚÒ\endgroup%Ž¦‘E±577Ž‘]ÚÒ\ignorespaces%Ž¦‘E±578Ž‘Sª®Ò}ŽŸþ6‘IÏ2.17Ž‘n€In terlude:‘range‘€listsŽŸuT‘I²F‘ÿ*ªor–“¶proGcessing“argumenš¸ãts“to“Ê\vgap“²and“Ê\cline²,‘£Nw˜e“need“to“bGe“able“to“do“thingsŽ¡‘Iwith–Ëlists“of“column“ranges.‘U™T‘ÿ*ªo“sa•¸ãv“e–Ëspace,‘´and“to“makš¸ãe“m˜y“ ngers“do“less“t˜yping,Ž¡‘Ihere's–UUsome“routines“whic¸ãh“do“range“handling.ŽŸ‘3PÒ\rangesŽŽŽ‘I²Givš¸ãen–£Ña“macro“name“and“a“comma“separated“list“of“ranges“and“simple“n˜um˜bGers,Ž¡‘Ithis– žmacro“will“call“the“macro“giving“it“eac¸ãh“range“in“the“list“in“turn.‘S¢SingleŽ¡‘In•¸ãum“bšGers–UUµn“²will“b˜e“turned“in¸ãto“ranges“µn²{µn².Ž¡‘XThe–’z 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‘IexpšGect–Ýaa“`Ê-²'“sign“to“b˜e“next.‘IËIf“there“is“no“`Ê-²',‘õ^call“the“user's“co˜de“with“the“n•¸ãum“b˜erŽ¡‘Iduplicated–UUand“then“do“the“rest“of“the“list.Ž©‘E±587Ž‘Sª®Ò\def\ranges@ii{%Ž¤ ‘E±588Ž‘]ÚÒ\@ifnextchar-\ranges@iii{\ranges@do\count@\count@\ranges@v}%Ž¡‘E±589Ž‘Sª®Ò}Ž¤‘X²No•¸ãw›J¨w“e˜strip˜the˜`Ê-²'˜o ˜and˜read˜the˜other˜n“um“bGer˜in“to˜a˜tempGorary˜register.Ž¦‘E±590Ž‘Sª®Ò\def\ranges@iii-{\afterassignment\ranges@iv\@tempcnta}Ž¡‘X²W‘ÿ*ªe›Æ/ha•¸ãv“e˜bGoth˜ends˜of˜the˜range˜no“w,–âeso˜call˜the˜user's˜coGde,“passing˜it˜bGothŽŸ ‘Iends–UUof“the“range.Ž¦‘E±591Ž‘Sª®Ò\def\ranges@iv{\ranges@do\count@\@tempcnta\ranges@v}Ž¡‘X²W‘ÿ*ªe'vš¸ãe–t> nished“doing“an“item“no˜w.‘΂If“w˜e“ha˜v˜e“a“`Ê,²'“next,‘{øthen“start“o˜v˜er“withŽ¤ ‘Ithe–ƒ¦next“item.‘üºOtherwise,›Ï:if“w¸ãe're“at“the“end“of“the“list,˜w¸ãe“can“end“happily‘ÿ*ª.Ž¡‘IFinally‘ÿ*ª,–UUif“w¸ãe're“totally“confused,“raise“an“error.Ž¦‘E±592Ž‘Sª®Ò\def\ranges@v{%Ž¤ ‘E±593Ž‘]ÚÒ\@ifnextchar,%Ž¡‘E±594Ž‘f‘Ò\ranges@vi%Ž¡‘E±595Ž‘f‘Ò{%Ž¡‘E±596Ž‘p2Ò\@ifnextchar\q@delim%Ž¡‘E±597Ž‘yw^Ò\ranges@done%Ž¡‘E±598Ž‘yw^Ò{\tab@err@range\ranges@vi,}%Ž¡‘E±599Ž‘f‘Ò}%Ž¡‘E±600Ž‘Sª®Ò}Ž¤‘X²W‘ÿ*ªe–UUhad“a“comma,“so“gobble“it,“read“the“next“n•¸ãum“bGer,–UUand“go“round“again.Ž¦‘E±601Ž‘Sª®Ò\def\ranges@vi,{\afterassignment\ranges@ii\count@}Ž¡‘X²Here's–õ`hoš¸ãw“w˜e“call“the“user's“coGde,‘‘no˜w.‘QËW‘ÿ*ªe“close“the“group,‘‘so“that“the“user'sŽ¤ ‘Ico•Gde›4Ûdo“esn't˜ha•¸ãv“e˜to˜do˜global˜things˜to˜remem“bGer˜its˜results,‘;Zand˜w“e˜expand˜theŽ¡‘It•¸ãw“o–ãþrange“ends“from“their“coun¸ãt“registers.‘ÁW‘ÿ*ªe“also“ensure“that“the“range“is“theŽ¡‘Irigh•¸ãt›UUw“a“y˜round.Ž¦‘E±602Ž‘Sª®Ò\def\ranges@do#1#2{%Ž¤ ‘E±603Ž‘]ÚÒ\ifnum#1>#2\else%Ž¡‘E±604Ž‘f‘Ò\expandafter\endgroup%Ž¡‘E±605Ž‘f‘Ò\expandafter\ranges@temp%Ž¡‘E±606Ž‘f‘Ò\expandafter{%Ž¡‘E±607Ž‘f‘Ò\the\expandafter#1%Ž¡‘E±608Ž‘f‘Ò\expandafter}%Ž¡‘E±609Ž‘f‘Ò\expandafter{%Ž¡‘E±610Ž‘f‘Ò\the#2%Ž¡‘E±611Ž‘f‘Ò}%Ž¡‘E±612Ž‘f‘Ò\begingroup%Ž¡‘E±613Ž‘]ÚÒ\fi%Ž¡‘E±614Ž‘Sª®Ò}ŽŸ‘X²And–ˆ nishing“the“scan“is“really“easy–ÿ*ª.‘¦_W“e–ˆclose“the“group“after“gobbling“theŽŸ ‘Iclose‘UUtok¸ãen.Ž¦‘E±615Ž‘Sª®Ò\def\ranges@done\q@delim{\endgroup}ŽŽŸ’õÿ²47ŽŽŒ‹0·: ª ýs o ý´‘ŽÒ\ifinrangeŽŽŽ‘I²Something–œÉa“little“more“useful,‘Á²noš¸ãw.‘4CÊ\ifinrange“²tak˜es“four“argumen˜ts:‘a“n˜um˜bGer,Ž¤ ‘Ia–±range“list“(as“abGo•¸ãv“e),‘Iˆand›±t“w“o˜tok“en˜lists˜whic“h˜I'll˜call˜Íthen‘ݲand˜Íelse².‘»ÜIf˜theŽ¡‘In•¸ãum“bGer–UUis“in“the“list,“I'll“do“Íthen²,“otherwise“I'll“do“Íelse².ŽŸàœ‘E±616Ž‘Sª®Ò\def\ifinrange#1#2{%Ž¤ 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‘E±630Ž‘]ÚÒ\tab@dohline%Ž¡‘E±631Ž‘]ÚÒ\noalign{\ifnum0=`}\fi%Ž¡‘E±632Ž‘]ÚÒ\tab@penalty%Ž¡‘E±633Ž‘]ÚÒ\futurelet\@let@token\hline@i%Ž¡‘E±634Ž‘Sª®Ò}ŽŸàœ‘X²W‘ÿ*ªe›|÷c•¸ãhec“k˜here˜for˜another˜Ê\hline˜²command,‘†ßand˜insert˜glue˜if˜there˜is.‘è­ThisŽ¦‘IloGoks–UUterrible,“though,“and“Ê\hlx{hvh}“²is“m•¸ãuc“h‘UUnicer.‘qÇStill.–ªª.“.ŽŸàœ‘E±635Ž‘Sª®Ò\def\hline@i{%Ž¡‘E±636Ž‘]ÚÒ\ifx\@let@token\hline%Ž¡‘E±637Ž‘f‘Ò\vskip\doublerulesep%Ž¡‘E±638Ž‘f‘Ò\tab@addruleheight\doublerulesep%Ž¡‘E±639Ž‘]ÚÒ\fi%Ž¡‘E±640Ž‘]ÚÒ\ifnum0=`{\fi}%Ž¡‘E±641Ž‘Sª®Ò}ŽŸÐê‘“b\tab@dohlineŽŽŽ‘I²This–vÙis“where“hlines“actually“get“dra•¸ãwn.‘ÖRDra“wing–vÙlines“is“more“a•¸ãwkw“ard‘vÙthanŽ¦‘Iit–Óáused“to“bšGe,‘3„particularly“in“un•¸ãb˜o“xed–Óátables.‘ílIt“used“to“b˜e“a“case“simply“ofŽ¦‘Isa•¸ãying›C®Ê\noalign{\hrule}².‘Ho“w“ev“er,‘zisince˜un“bGo“xed˜tables˜are˜actually˜m“uc“h˜widerŽ¦‘Ithan–”3they“loGok,‘£êthis“wš¸ãould“mak˜e“the“rules“stretc˜h“righ˜t“across“the“page“and“loGokŽ¦‘Igenerally‘UUhorrible.Ž¦‘XThe–UUsolution“is“simple:‘qÇwš¸ãe“basically“do“a“dirt˜y“big“Ê\cline².ŽŸàœ‘E±642Ž‘Sª®Ò\def\tab@dohline{%Ž¡‘E±643Ž‘]ÚÒ\multispan{\tab@columns}%ŽŽŸ’õÿ²48ŽŽŒ‹1Á2 ª ýs o ý´‘E±644Ž‘]ÚÒ\leaders\hrule\@height\arrayrulewidth\hfil%Ž¤ ‘E±645Ž‘]ÚÒ\tab@addruleheight\arrayrulewidth%Ž¡‘E±646Ž‘]ÚÒ\cr%Ž¡‘E±647Ž‘Sª®Ò}Ž©åV‘IÉ2.18.2Ž‘qã€V‘ÿ «ertical‘ÕTrulesŽŸuT‘I²I‘z&couldn't–zq t“these“in“anš¸ãywhere“else,‘øso“they'll“ha˜v˜e“to“go“here.‘áI'll“pro˜vide“aŽ¤ ‘Inew–¶êoptional“argumenš¸ãt“whic˜h“spGeci es“the“width“of“the“rule;‘çµthis“gets“rid“of“theŽ¡‘Iproblem–¨ädescribGed“in“the“ÍComp‘ÿ}'anion²,‘ýÈwhere“to“get“an“unš¸ãusually“wide“v˜erticalŽ¡‘Irule,‘ y•¸ãou›åwha“v“e˜to˜pla“y˜with˜things˜lik“e˜Ê\vrule‘¬ÎwidthŽ‘E7›¸hÍdimen‘Äc¸iŽ‘lŸ'EŽ‘ãxX“trying“to“parse“a“¸hÍrule-sp–ÿ}'e“ci c“ation‘Äc¸iŽ‘X‹«²for“toGo“long,‘¹øin“caseŽ¡‘Isomeone–“‘saš¸ãys“something“lik˜e“`Ê\vline‘?ýdepthcharges²'“or“something“equally“un-Ž¡‘Ilik¸ãely‘ÿ*ª.ŽŸÆ9‘E±648Ž‘Sª®Ò\renewcommand\vline[1][\arrayrulewidth]{\vrule\@width#1\relax}Ž¦‘IÉ2.18.3Ž‘qã€Dra®9wing–ÕTbits“of“linesŽŸuT‘I²Just–ñþfor“a“bit“of“fun,‘(here's“an“extended“vš¸ãersion“of“Ê\cline“²whic˜h“tak˜es“a“list“ofŽ¡‘Icolumns–UUto“dra¸ãw“lines“under,“rather“than“just“a“single“range.ŽŸ©V‘"ìæÒ\clineŽŽŽ‘I²Not–°%a“single“line“of“coGde“written“yš¸ãet,‘Ñ/and“w˜e“already“ha˜v˜e“a“dilemma“on“our“hands.Ž¡‘IMultiple–Î7consecutivš¸ãe“Ê\cline“²commands“are“mean˜t“to“dra˜w“on“the“same“v˜erticalŽ¡‘Ibit–àcof“table.‘JÌBut“horizonš¸ãtal“lines“are“mean˜t“to“ha˜v˜e“thic˜kness“no˜w.‘JÌOh,‘÷Æw˜ell“[sigh],Ž¡‘Iwš¸ãe'll–UUskip“bac˜k“on“it“after“all.Ž¡‘XNoš¸ãw–lµthe“problem“remains“ho˜w“bGest“to“do“the“job.‘·æThe“w˜a˜y“I‘l¯see“it,‘rthere“areŽ¡‘Ithree‘UUpGossibilities:ŽŸo‘X¸ŽŽŽ‘b²W‘ÿ*ªe–ݯcan“start“a“table“roš¸ãw,‘õand“then“for“eac˜h“column“of“the“table“(as“recordedŽ¡‘bin–"Ê\tab@columns²)“w¸ãe“loGok“to“see“if“that“column“is“listed“in“the“range“listŽ¡‘band–UUif“so“dra¸ãw“the“rule.‘qÇThis“requires“lots“of“scanning“of“the“range“list.Ž©Æ:‘X¸ŽŽŽ‘b²W‘ÿ*ªe–èIcan“takš¸ãe“eac˜h“range“in“the“list,‘ and“dra˜w“rules“appropriately‘ÿ*ª,‘ just“lik˜eŽ¡‘bthe–UUold“Ê\cline“²used“to“do,“and“starting“a“new“table“roš¸ãw“for“eac˜h.Ž¦‘X¸ŽŽŽ‘b²W‘ÿ*ªe–è`can“start“a“table“roš¸ãw,‘M#and“then“for“eac˜h“range“remem˜bGer“where“w˜eŽ¡‘bstoppGed–¼Pdraš¸ãwing“the“last“ro˜w,‘Ömo˜v˜e“to“the“start“of“the“new“one,‘Öand“dra˜wŽ¡‘bit.‘ÌWIf–s…wš¸ãe“start“mo˜ving“bac˜kw˜ards,‘{w˜e“close“the“curren˜t“ro˜w“and“opGen“a“newŽ¡‘bone.ŽŸo‘XThe–nglast“option“loGoks“the“most“ecien¸ãt,‘œ—and“the“most“dicult.‘$ÎThis“is“thereforeŽ¡‘Iwhat–UUI“shall“do“Ê;-)².Ž¡‘XThe–Lo rst“thing“to“do“is“to“add“in“a“little“negativš¸ãe“space,‘N7and“start“a“table“ro˜wŽ¡‘I(omitting–.àthe“ rst“item).‘döThen“scan“the“range“list,‘6‘and“ nally“close“the“table“ro¸ãwŽ¡‘Iand–UUadd“some“negativ¸ãe“space“again.Ž¡‘XW‘ÿ*ªe–׌need“a“global“counš¸ãt“register“to“k˜eep“trac˜k“of“where“w˜e“are.‘ølMixing“loGcalŽ¡‘Iand–UUglobal“assignmenš¸ãts“causes“all“sorts“of“tragedy‘ÿ*ª,“so“I“shall“hijac˜k“Ê\tab@state².ŽŸÆ9‘E±649Ž‘Sª®Ò\def\cline#1{%ŽŸ ‘E±650Ž‘]ÚÒ\noalign{\kern-.5\arrayrulewidth\tab@penalty}%ŽŽŸ’õÿ²49ŽŽŒ‹2ËÝ ª ýs o ý´‘E±651Ž‘]ÚÒ\omit%Ž¤ ‘E±652Ž‘]ÚÒ\global\tab@state\@ne%Ž¡‘E±653Ž‘]ÚÒ\ranges\cline@i{#1}%Ž¡‘E±654Ž‘]ÚÒ\cr%Ž¡‘E±655Ž‘]ÚÒ\noalign{\kern-.5\arrayrulewidth\tab@penalty}%Ž¡‘E±656Ž‘Sª®Ò}Ž©‘X²Noš¸ãw–΂for“the“tric˜ky“bit.‘ÝMWhen“w˜e're“giv˜en“a“range,‘ìÍw˜e“loGok“to“see“if“the“ rstŽ¤ ‘In•¸ãum“bGer–]"is“less“than“Ê\tab@state².‘‰.If“so,‘Ÿwš¸ãe“quic˜kly“close“the“curren˜t“ro˜w,‘Ÿk˜ernŽ¡‘Ibac•¸ãkw“ards–twand“start“again“with“an“Ê\omit“²and“reset“Ê\tab@state“²to“1,‘¼?and“tryŽ¡‘Iagain.ŽŸ‘E±657Ž‘Sª®Ò\def\cline@i#1#2{%Ž¤ ‘E±658Ž‘]ÚÒ\ifnum#1<\tab@state\relax%Ž¡‘E±659Ž‘f‘Ò\tab@@cr%Ž¡‘E±660Ž‘f‘Ò\noalign{\kern-\arrayrulewidth\tab@penalty}%Ž¡‘E±661Ž‘f‘Ò\omit%Ž¡‘E±662Ž‘f‘Ò\global\tab@state\@ne%Ž¡‘E±663Ž‘]ÚÒ\fi%Ž¦‘X²W‘ÿ*ªe–j¨are“noš¸ãw“either“at“or“in“fron˜t“of“the“column“pGosition“required.‘±ÁIf“w˜e're“toGoŽŸ ‘Ifar–UUbacš¸ãk,“w˜e“m˜ust“Ê\hfil&\omit“²our“w˜a˜y“o˜v˜er“to“the“correct“column.ŽŸ‘E±664Ž‘]ÚÒ\@whilenum\tab@state<#1\do{%Ž¡‘E±665Ž‘f‘Ò\hfil\tab@@tab@omit%Ž¡‘E±666Ž‘f‘Ò\global\advance\tab@state\@ne%Ž¡‘E±667Ž‘]ÚÒ}%Ž¦‘X²W›ÿ*ªe'v¸ãe–6found“the“start“correctly˜.‘ÌkW˜e“mš¸ãust“deal“with“a“tin˜y“problem“no˜w:‘ŠifŽ¤ ‘Ithis–ØÔis“not“the“ rst“table“cell,‘ù´the“left“hand“v¸ãertical“rule“is“in“the“column“to“theŽ¡‘Ileft,‘lso–4Xour“horizonš¸ãtal“rule“w˜on't“matc˜h“up“propGerly‘ÿ*ª.‘ÐSo“w˜e“skip“bac˜k“b˜y“a“bitŽ¡‘Ito–²ˆcompGensate.‘‰aIf“there“isn't“actually“a“v¸ãertical“rule“to“line“up“with,‘ÉÕno-one“willŽ¡‘Inotice,‘PÉbGecause–the“rules“are“so“thin.‘ÍEThis“adds“a“little“toucš¸ãh“of“qualit˜y“to“theŽ¡‘Iwhole–UUthing,“whicš¸ãh“is“after“all“the“pGoin˜t“of“this“whole“exercise.ŽŸ‘E±668Ž‘]ÚÒ\ifnum\tab@state>\@ne%Ž¤ ‘E±669Ž‘f‘Ò\kern-\arrayrulewidth%Ž¡‘E±670Ž‘]ÚÒ\fi%Ž¦‘X²No•¸ãw›UUw“e˜m“ust˜stretc“h˜this˜table˜cell˜to˜the˜correct˜width.ŽŸ‘E±671Ž‘]ÚÒ\@whilenum\tab@state<#2\do{%Ž¡‘E±672Ž‘f‘Ò\tab@@span@omit%Ž¡‘E±673Ž‘f‘Ò\global\advance\tab@state\@ne%Ž¡‘E±674Ž‘]ÚÒ}%Ž¦‘X²W–ÿ*ªe're›'Zready“.–çÖDra¸ãw˜the˜rule.“Note˜that˜this˜is˜Ê\hfill˜²glue,‘[Ûjust˜in˜case˜w¸ãeŽŸ ‘Istart–UUputting“in“Ê\hfil“²glue“when“wš¸ãe“step“on˜to“the“next“cell.ŽŸ‘E±675Ž‘]ÚÒ\leaders\hrule\@height\arrayrulewidth\hfill%Ž¡‘E±676Ž‘Sª®Ò}Ž¦‘X²Some–Yxalignmenš¸ãt“primitiv˜es“are“hidden“inside“macros“so“they“don't“get“seen“atŽŸ ‘Ithe–UUwrong“time.‘qÇThis“is“what“they“loGok“lik¸ãe:ŽŸ‘E±677Ž‘Sª®Ò\def\tab@@cr{\cr}Ž¡‘E±678Ž‘Sª®Ò\def\tab@@tab@omit{&\omit}Ž¡‘E±679Ž‘Sª®Ò\def\tab@@span@omit{\span\omit}ŽŽŸ’õÿ²50ŽŽŒ‹3Ù6 ª ýs o ý´‘IÉ2.18.4Ž‘qã€Draš®9wing–ÕTshort“table“ro˜wsŽŸuT‘I²Before– ÛI› Éstart“on“a“description“of“more“coGde,‘ÁI˜think“I'll“brie y“discuss“m¸ãy“reasonsŽ¤ ‘Ifor–SLleaš¸ãving“the“Ê\vgap“²command“in“its“curren˜t“state.‘k«There's“a“reasonable“caseŽ¡‘Ifor–Òinš¸ãtroGducing“an“in˜terface“bGet˜w˜een“Ê\vgap“²and“Ê\multicolumn²,‘Mpto“a˜v˜oid“all“theŽ¡‘Itedious–Š%messing“abšGout“with“column“ranges.‘8There“are“go˜o˜d“reasons“wh¸ãy“I'm“notŽ¡‘Igoing–UUto“do“this:ŽŸÖè‘X¸ŽŽŽ‘b²It's–t vš¸ãery“dicult“to“do:‘"it“requires“either“p•Gostpro“cessing–t of“the“table“or“dela˜y-Ž¡‘bing–ÐÚproGcessing“of“eacš¸ãh“ro˜w“un˜til“I‘йkno˜w“exactly“what's“in“it;‘ýa“Ê\multicolumnŽ¡‘b²in–va“ro¸ãw“should“bšGe“able“to“a ect“a“Ê\vgap“²b˜efore“the“ro•¸ãw,‘+>whic“h–vgets“v¸ãeryŽ¡‘bnast•¸ãy‘ÿ*ª.‘çFThis›ÑÕpac“k‘ÿqÇage˜is˜probably˜far˜toGo˜large˜already‘ÿ*ª,‘0ôand˜adding˜moreŽ¡‘bcomplexit¸ãy–E®and“running“the“risk“of“exhausting“T‘þU>Ÿ'EŽ‘ãxX's“frustratingly“ nite“ca-Ž¡‘bpacitš¸ãy–×Üfor“the“sak˜e“of“relieving“the“user“of“a“fairly“trivial“job“doGesn't“seemŽ¡‘bw•¸ãorth“while.ŽŸï‘X¸ŽŽŽ‘b²Pš¸ãerhaps–Hmore“impGortan˜tly‘ÿ*ª,‘}ôthere“are“pšGerfectly“v‘ÿqÇalid“o˜ccasions“when“it's“usefulŽ¡‘bto›Þ¿ha•¸ãv“e˜the˜curren“t˜vgap˜bGeha“viour.‘ F‘ÿ*ªor˜example,‘Athe˜ÊMIX‘ÞY²w“ord˜la“y“outŽ¡‘bdiagrams–kfound“in“ÍThe–@A¾“rt“of“Computer“Pr–ÿ}'o“gr“amming‘òè²use–kthe“little“`stubŽ¡‘blines'–UUto“shoš¸ãw“where“data“items“cross“b˜yte“bGoundaries:ŽŸ R’íJì„ffi„ŽŽ¤ÌÍ’íJì„ffŽ’ã„ffŽ’éz„ffŽ’"ïÞ„ffŽ’3öB„ffŽ’Dü¦„ffŽ’V „ffŽŽ© =l’Á›ãÑempt¾9y‘øŸõÄ„ 30ffŽ’ó±RÕ‘ŸõÄ„ 30ffŽ’I|Ñ1‘ŸõÄ„ 30ffŽ’Oà0‘ŸõÄ„ 30ffŽ’)VD0‘ŸõÄ„ 30ffŽ’:\¨0‘ŸõÄ„ 30ffŽ’Kc 0‘ŸõÄ„ 30ffŽŽŸõÄ’íJì„ffŽ’ã„ffŽ’éz„ffŽ’"ïÞ„ffŽ’3öB„ffŽ’Dü¦„ffŽ’V „ffŽŽž33’íJì„ffi„ŽŽ¡’íJì„ffŽ’ã„ffŽ’éz„ffŽ’"ïÞ„ffŽ’3öB„ffŽ’Dü¦„ffŽ’V „ffŽŽ¦’·–’oAÇccupied‘øŸõÄ„ 30ffŽ’ó±R+‘ŸõÄ„ 30ffŽ’©ÒLINK‘`ŸõÄ„ 30ffŽ’5–FKEY‘@ŸõÄ„ 30ffŽŽŸõÄ’íJì„ffŽ’ã„ffŽ’éz„ffŽ’"ïÞ„ffŽ’3öB„ffŽ’Dü¦„ffŽ’V „ffŽŽž33’íJì„ffi„ŽŽŸ£´‘X²That's–qGmš¸ãy“excuses“out“of“the“w˜a˜y;‘@no˜w“I'll“press“on“with“the“actual“program-Ž¤ ‘Iming.Ž©çX‘ý 6Ò\tab@checkruleŽŽŽ‘I²W‘ÿ*ªe›(Yha•¸ãv“e˜a˜range˜list˜in˜Ê\tab@xcols˜²and˜a˜n“um“bGer˜as˜an˜argumen“t.‘bÈIf˜w“e˜ nd˜theŽ¡‘In•¸ãum“bGer–UUin“the“list,“wš¸ãejust“space“out“the“follo˜wing“group,“otherwise“w˜e“let“it“bGe.ŽŸï‘E±680Ž‘Sª®Ò\def\tab@checkrule#1{%Ž¤ ‘E±681Ž‘]ÚÒ\count@#1\relax%Ž¡‘E±682Ž‘]ÚÒ\expandafter\ifinrange%Ž¡‘E±683Ž‘]ÚÒ\expandafter\count@%Ž¡‘E±684Ž‘]ÚÒ\expandafter{\tab@xcols}%Ž¡‘E±685Ž‘f‘Ò{\tab@checkrule@i}%Ž¡‘E±686Ž‘f‘Ò{}%Ž¡‘E±687Ž‘Sª®Ò}Ž¡‘E±688Ž‘Sª®Ò\def\tab@checkrule@i#1{\setbox\z@\hbox{#1}\hb@xt@\wd\z@{}}Ž¦‘'¦|\vgapŽŽŽ‘I²W‘ÿ*ªe–‹mš¸ãust“tread“carefully“here.‘ÊhA‘Wsingle“misplaced“stomac˜h“opGeration“can“causeŽ¤ ‘Ierror–á.messages.‘SW‘ÿ*ªe“therefore“start“with“an“Ê\omit“²so“wš¸ãe“can“searc˜h“for“optionalŽ¡‘Iargumen¸ãts.Ž¡‘XSo–Ðbthat“Ê\hlx“²can“get“conš¸ãtrol“after“Ê\vgap“²has“ 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s,I'll“pretend“that^^J%Ž¡‘E±863Ž‘f‘Òyou–¹–really“typed“`c',“and“that“this“is“all“a“bad“dream.%Ž¡‘E±864Ž‘]ÚÒ}%Ž¡‘E±865Ž‘Sª®Ò}Ž¦‘E±866Ž‘Sª®Ò\def\tab@err@unbext{%Ž¡‘E±867Ž‘]ÚÒ\tab@error{Can't–¹–extend“unboxed“tabulars}{%Ž¡‘E±868Ž‘f‘ÒYou're–¹–trying“to“use“kludgy“extensions“(e.g.,^^J%Ž¡‘E±869Ž‘f‘Ò`delarray')–¹–on“an“array“or“tabular“with“`L',“`C'^^J%Ž¡‘E±870Ž‘f‘Òor–¹–`R'“as“the“position“specifier.‘ s,I'll“assume“you^^J%Ž¡‘E±871Ž‘f‘Òsubconsciously–¹–wanted“a“`c'“type“all“along.%Ž¡‘E±872Ž‘]ÚÒ}%Ž¡‘E±873Ž‘Sª®Ò}Ž¦‘E±874Ž‘Sª®Ò\def\tab@err@multi{%Ž¡‘E±875Ž‘]ÚÒ\tab@error{More–¹–than“one“column“in“a“\protect\multicolumn}{%Ž¡‘E±876Ž‘f‘ÒYou've–¹–put“more“than“one“column“into“a“\string\multicolumn^^J%Ž¡‘E±877Ž‘f‘Òdescriptor.› s,It–¹–won't“work.˜I“have“no“idea“what^^J%Ž¡‘E±878Ž‘f‘Òwill–¹–happen,“although“it“won't“be“pleasant.‘ 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nal“column.‘^A˜t“theŽ¦‘IbGeginning–hÈof“eacš¸ãh“ro˜w,‘m¥w˜e“globally“Ê\let“\eqa@number“²equal“to“Ê\eqa@defnumber².Ž¦‘IThe–ð­Ê\eqnumber“²macro“just“c¸ãhanges“Ê\eqa@number“²as“required.‘P:Since“Ê\eqa@numberŽ¦‘I²is–UUcš¸ãhanged“globally“w˜e“m˜ust“sa˜v˜e“it“in“this“en˜vironmen˜t.Ž¦‘XFirst,‘Ïw•¸ãe›Àm“ust˜sort˜out˜the˜optional˜argumen“ts˜and˜things.‘²This˜is˜reallyŽ¦‘Ieasy‘ÿ*ª.‘DÐThe–Îponly“di erence“bGet•¸ãw“een–Îpthe“starred“and“non-starred“en•¸ãvironmen“ts–Îpis“theŽ¦‘Idefault–UUde nition“of“Ê\eqa@defnumber².ŽŸ×]‘E±947Ž‘Sª®Ò\def\eqnarray{%Ž¤ ‘E±948Ž‘]ÚÒ\eqnarray@i\eqa@eqcount%Ž¡‘E±949Ž‘Sª®Ò}Ž¡‘E±950Ž‘Sª®Ò\@namedef{eqnarray*}{\eqnarray@i{}}Ž¡‘E±951Ž‘Sª®Ò\def\eqnarray@i#1{\@ifnextchar[{\eqnarray@ii{#1}}{\eqnarray@ii{#1}[rcl]}}Ž¤×]‘X²Righ•¸ãt.›µÀNo“w–¨for“the“real“w¸ãork.˜The“ 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nal‘UUcolumn.Ž¦‘E±958Ž‘]ÚÒ\@eqalastfalse%Ž¡‘X²Remo•¸ãv“e–Å8the“Ê\mathsurround“²kš¸ãerning,‘!0since“it“will“loGok“v˜ery“oGdd“inside“theŽ¤ ‘Idisplaš¸ãy–ÿ*ª.‘\ÐW“e–£­ha˜v˜e“our“o˜wn“spacing“parameters“for“con guring“these“things,‘÷CsoŽ¡‘IÊ\mathsurround–UU²is“unnecessary‘ÿ*ª.Ž¦‘E±959Ž‘]ÚÒ\m@th%ŽŸ€‘X²Time–to“parse“the“preamš¸ãble“string“no˜w.‘ðKI‘4m˜ust“c˜hoGose“the“correct“columnŽ¡‘Iset,‘uBinitialise–ythe“pream¸ãble“parser“and“set“up“the“v‘ÿqÇarious“macros.‘ ‹3The“extraŽ¡‘I`Ê@{\tabskip\eqacloseskip}²'–ïªitem“sets“up“the“tabskip“glue“to“cen¸ãtre“the“align-Ž¡‘Imen¸ãt‘UUpropGerly‘ÿ*ª.Ž¦‘E±960Ž‘]ÚÒ\colset{eqnarray}%Ž¤ ‘E±961Ž‘]ÚÒ\tab@initread%Ž¡‘E±962Ž‘]ÚÒ\def\tab@tabtext{&\tabskip\z@skip}%Ž¡‘E±963Ž‘]ÚÒ\tab@preamble{\tabskip\z@skip}%Ž¡‘E±964Ž‘]ÚÒ\tab@readpreamble{#2@{\tabskip\eqacloseskip}}%Ž¡‘E±965Ž‘]ÚÒ\dsp@tabpause%ŽŸ€‘X²No¸ãw–ä~for“some“ nal“setting“up.‘CThe“column“separation“is“set“from“the“user'sŽ¤ 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ne“Ê\eqa@number“²directly‘ÿ*ª.Ž¦‘A±1033Ž‘Sª®Ò\def\nonumber{\global\let\eqa@number\@empty}ŽŸþ6‘IÉ3.4.5Ž‘l#‚The–ÕTÌeqnalign“Éen•®9vironmen“tŽŸuT‘I²As–âa“sort“of“companion“to“Ëeqna•¸ãrra“y²,‘ðhere's–âan“en•¸ãvironmen“t›âwhic“h˜doGes˜similarŽ¡‘Ithings–ñüinside“a“bGoš¸ãx,‘&rather“than“taking“up“the“whole“displa˜y“width.‘G½It“uses“theŽ¡‘Isame–UUcolumn“tš¸ãypGes“that“w˜e'v˜e“already“created,“so“there“should“bGe“no“problems.ŽŸ‘yºÒeqnalignŽŽŽ‘I²First,–UUsort“out“some“simple“things“likš¸ãe“optional“argumen˜ts.Ž¦‘A±1034Ž‘Sª®Ò\def\eqnalign{\@ifnextchar[\eqnalign@i{\eqnalign@i[rcl]}}Ž¤ ‘A±1035Ž‘Sª®Ò\def\eqnalign@i[#1]{%Ž¡‘A±1036Ž‘]ÚÒ\@ifnextchar[{\eqnalign@ii{#1}}{\eqnalign@ii{#1}[c]}%Ž¡‘A±1037Ž‘Sª®Ò}ŽŸ‘X²No•¸ãw›UUw“e˜actually˜do˜the˜en“vironmen“t.‘qÇThis˜is˜fairly˜easy–ÿ*ª,˜actually“.Ž¦‘A±1038Ž‘Sª®Ò\def\eqnalign@ii#1[#2]{%Ž¡‘A±1039Ž‘]ÚÒ\let\\\eqn@cr%Ž¡‘A±1040Ž‘]ÚÒ\colset{eqnarray}%Ž¡‘A±1041Ž‘]ÚÒ\tab@initread%Ž¡‘A±1042Ž‘]ÚÒ\def\tab@tabtext{&\tabskip\z@skip}%Ž¡‘A±1043Ž‘]ÚÒ\tabskip\z@skip%Ž¡‘A±1044Ž‘]ÚÒ\col@sep.5\eqainskip%Ž¡‘A±1045Ž‘]ÚÒ\tab@readpreamble{#1}%Ž¡‘A±1046Ž‘]ÚÒ\everycr{}%Ž¡‘A±1047Ž‘]ÚÒ\if#2t\vtop\else%Ž¡‘A±1048Ž‘f‘Ò\if#2b\vbox\else%Ž¡‘A±1049Ž‘p2Ò\vcenter%Ž¡‘A±1050Ž‘f‘Ò\fi%Ž¡‘A±1051Ž‘]ÚÒ\fi%Ž¡‘A±1052Ž‘]ÚÒ\bgroup%Ž¡‘A±1053Ž‘]ÚÒ\halign\expandafter\bgroup\the\tab@preamble\cr%Ž¡‘A±1054Ž‘Sª®Ò}ŽŽŸ’õÿ²64ŽŽŒ‹AtV ª ýs o ý´‘X²Finishing–UUthe“en•¸ãvironmen“t–UUis“ev¸ãen“simpler.Ž©‘A±1055Ž‘Sª®Ò\def\endeqnalign{%Ž¤ 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‘A±1130Ž‘]ÚÒ\ifx#2\scriptstyle%Ž¡‘A±1131Ž‘f‘Ò\let\mat@font\scriptfont%Ž¡‘A±1132Ž‘]ÚÒ\else\ifx#2\scriptscriptstyle%Ž¡‘A±1133Ž‘f‘Ò\let\mat@font\scriptscriptfont%Ž¡‘A±1134Ž‘]ÚÒ\else%Ž¡‘A±1135Ž‘f‘Ò\let\mat@font\textfont%Ž¡‘A±1136Ž‘]ÚÒ\fi\fi%Ž©‘X²No¸ãw–UUto“copGe“with“inserted“text.‘qÇThis“is“easy‘ÿ*ª.ŽŸ‘A±1137Ž‘]ÚÒ\ifx\mat@style\scriptstyle%Ž¡‘A±1138Ž‘f‘Ò\let\mat@textsize\scriptsize%Ž¡‘A±1139Ž‘]ÚÒ\else\ifx\mat@style\scriptscriptstyle%Ž¡‘A±1140Ž‘f‘Ò\let\mat@textsize\scriptscriptsize%Ž¡‘A±1141Ž‘]ÚÒ\else%Ž¡‘A±1142Ž‘f‘Ò\let\mat@textsize\relax%Ž¡‘A±1143Ž‘]ÚÒ\fi\fi%Ž¦‘X²Noš¸ãw–^for“some“fun.‘ŒI'll“remem˜bGer“ho˜w“to“start“and“end“the“matrix“in“a“coupleŽ¤ ‘Iof–S¸macros“Ê\mat@left“²and“Ê\mat@right².‘lñI‘Swha•¸ãv“en't›S¸y“et˜w“ork“ed˜out˜exactly˜whatŽ¡‘Ineeds–öto“bGe“in“Ê\mat@right“²yš¸ãet,– 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*is“not“the“purpGose“of“this“section“to“induce“yš¸ãou“to“infringe“an˜y“paten˜tsŽ¡‘bor–Aother“propGertš¸ãy“righ˜t“claims“or“to“con˜test“v‘ÿqÇalidit˜y“of“an˜y“suc˜h“claims;‘GÚthisŽŽŸ’õÿ77ŽŽŒ‹N ª ýs o ý´‘b²section–«?has“the“sole“purpGose“of“protecting“the“in•¸ãtegrit“y–«?of“the“free“soft•¸ãw“areŽ¤ ‘bdistribution–Ϋsystem,‘éšwhicš¸ãh“is“implemen˜ted“b˜y“public“license“practices.‘DäMan˜yŽ¡‘bpGeople›`õha•¸ãv“e˜made˜generous˜con“tributions˜to˜the˜wide˜range˜of˜soft“w“are˜dis-Ž¡‘btributed–)ðthrough“that“system“in“reliance“on“consisten¸ãt“application“of“thatŽ¡‘bsystem;‘™3it–‚“is“up“to“the“author/donor“to“decide“if“he“or“she“is“willing“to“dis-Ž¡‘btribute›ª§soft•¸ãw“are˜through˜an“y˜other˜system˜and˜a˜licensee˜cannot˜impGose˜thatŽ¡‘bc¸ãhoice.ŽŸ¢é‘bThis–½Asection“is“inš¸ãtended“to“mak˜e“thoroughly“clear“what“is“bGeliev˜ed“to“bGe“aŽ¡‘bconsequence–UUof“the“rest“of“this“License.Ž©EÒ‘U8ä8.ŽŽŽ‘bIf–fthe“distribution“and/or“use“of“the“Program“is“restricted“in“certain“coun¸ãtriesŽ¡‘beither–T—bš¸ãy“paten˜ts“or“b˜y“cop˜yrigh˜ted“in˜terfaces,‘T½the“original“cop˜yrigh˜t“holderŽ¡‘bwho–Ã8places“the“Program“under“this“License“ma¸ãy“add“an“explicit“geograph-Ž¡‘bical–I1distribution“limitation“excluding“those“coun¸ãtries,‘Kžso“that“distribution“isŽ¡‘bpGermitted–…ºonly“in“or“among“counš¸ãtries“not“th˜us“excluded.‘öIn“suc˜h“case,‘‘ÓthisŽ¡‘bLicense–/üincorpšGorates“the“limitation“as“if“written“in“the“b˜o˜dy“of“this“License.Ž¦‘U8ä9.ŽŽŽ‘bThe–¯¡F›ÿ*ªree“Soft•¸ãw“are–¯¡F˜oundation“maš¸ãy“publish“revised“and/or“new“v˜ersions“ofŽ¡‘bthe–.ùGeneral“Public“License“from“time“to“time.‘þ´Sucš¸ãh“new“v˜ersions“will“bGeŽ¡‘bsimilar–÷gin“spirit“to“the“presenš¸ãt“v˜ersion,‘ëbut“ma˜y“di er“in“detail“to“addressŽ¡‘bnew–UUproblems“or“concerns.ŽŸ¢é‘bEac•¸ãh›‚¹v“ersion˜is˜giv“en˜a˜distinguishing˜v“ersion˜n“um“b•Ger.‘ùòIf˜the˜Program˜sp“e-Ž¡‘bci es–W‚a“vš¸ãersion“n˜um˜bGer“of“this“License“whic˜h“applies“to“it“and“\an˜y“laterŽ¡‘bv•¸ãersion",‘ªy“ou›õ€ha“v“e˜the˜option˜of˜follo“wing˜the˜terms˜and˜conditions˜either˜ofŽ¡‘bthat–T"vš¸ãersion“or“of“an˜y“later“v˜ersion“published“b˜y“the“F‘ÿ*ªree“Soft˜w˜are“F‘ÿ*ªounda-Ž¡‘btion.‘ˆ!If–\Èthe“Program“došGes“not“sp˜ecify“a“vš¸ãersion“n˜um˜bGer“of“this“License,‘^¥y˜ouŽ¡‘bma•¸ãy›UUc“hoGose˜an“y˜v“ersion˜ev“er˜published˜b“y˜the˜F‘ÿ*ªree˜Soft“w“are˜F‘ÿ*ªoundation.Ž¦‘P8ã10.ŽŽŽ‘bIf–B[yš¸ãou“wish“to“incorpGorate“parts“of“the“Program“in˜to“other“free“programsŽ¡‘bwhose–<«distribution“conditions“are“di eren¸ãt,‘v€write“to“the“author“to“ask“forŽ¡‘bpGermission.‘SF‘ÿ*ªor›ú¦soft•¸ãw“are˜whic“h˜is˜cop“yrigh“ted˜b“y˜the˜F‘ÿ*ªree˜Soft“w“are˜F‘ÿ*ªounda-Ž¡‘btion,‘7àwrite–0‚to“the“F›ÿ*ªree“Soft•¸ãw“are‘0‚F˜oundation;‘<Éw“e–0‚sometimes“mak¸ãe“exceptionsŽ¡‘bfor–\áthis.‘ˆkOur“decision“will“bGe“guided“bš¸ãy“the“t˜w˜o“goals“of“preserving“the“freeŽ¡‘bstatus–!,of“all“deriv‘ÿqÇativš¸ães“of“our“free“soft˜w˜are“and“of“promoting“the“sharingŽ¡‘band–UUreuse“of“soft•¸ãw“are‘UUgenerally‘ÿ*ª.Ž¤Ñu’ß#ŒNO‘UUW‘þãARRANTYŽ¡‘NN@É11.ŽŽŽ‘bBecause–’ßthe“Program“is“licensed“free“of“cš®9harge,‘ÂAthere“is“no“w˜ar-Ž¤ ‘bran•®9t“y–ŒÐfor“the“Program,‘›Pto“the“extenš®9t“pQÇermitted“b˜y“applicable“la˜w.Ž¡‘bexcept–å?when“otherwise“stated“in“writing“the“cop•®9yrigh“t‘å?holdersŽ¡‘band/or–Dªother“parties“proš®9vide“the“program“\as“is"“without“w˜ar-Ž¡‘bran•®9t“y–îÅof“an®9y“kind,›õ!either“expressed“or“implied,˜including,˜but“notŽ¡‘blimited–´to,‘ëÁthe“implied“w•®9arran“ties–´of“merc•®9han“tabilit“y–´and“ tnessŽ¡‘bfor–BKa“particular“purpQÇose.‘ëmThe“enš®9tire“risk“as“to“the“qualit˜y“and“pQÇer-Ž¡‘bformance–ø˜of“the“Program“is“with“yš®9ou.‘†for“damages,‘”uincluding“an˜y“general,–”uspQÇecial,“inciden˜tal–„>or“con-Ž¡‘bsequenš®9tial–¨qdamages“arising“out“of“the“use“or“inabilit˜y“to“use“theŽ¡‘bprogram–g‘(including“but“not“limited“to“loss“of“data“or“data“bQÇeingŽ¡‘brendered–øinaccurate“or“losses“sustained“bš®9y“y˜ou“or“third“parties“or“aŽ¡‘bfailure–§of“the“Program“to“opQÇerate“with“anš®9y“other“programs),‘°Tev˜enŽ¡‘bif–…8sucš®9h“holder“or“other“part˜y“has“bšQÇeen“advised“of“the“p˜ossibilit®9y“ofŽ¡‘bsuc®9h‘ÕTdamages.Ž©’–s²END–ÕTOF“TERMS“AND“CONDITIONSŽŸþ6‘IÏA.3Ž‘k1ÇApp`endix:‘÷ÝHo w–{îto“Apply“These“T›þàerms“to“Y˜our“NewŽŸ‘k1ÇProgramsŽŸuT‘I²If–´ 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