macros.tex

   1 % TeX macros for typesetting my PhD thesis
   2 % (c) 2008 Martin Mares <mj@ucw.cz>
   3
   4 \input epsf.tex
   5 \input btxmac.tex
   6 \input amssym.tex
   7
   8 \catcode`@=11
   9
  10 %%% Basic parameters %%%
  11
  12 % A4 with 1in margins, leaving 20pt for page numbering at the bottom
  13 \hsize=159mm
  14 \vsize=246mm
  15 \advance\vsize by -20pt
  16 \parindent=0.8cm
  17 \parskip=3pt plus 1pt minus 1pt
  18
  19 \smallskipamount=4pt plus 1.2pt minus 1.2pt
  20 \medskipamount=7pt plus 2.5pt minus 2pt
  21 \bigskipamount=15pt plus 5pt minus 4pt
  22
  23 \abovedisplayskip=15pt plus 4pt minus 10pt
  24 \abovedisplayshortskip=0pt plus 3pt
  25 \belowdisplayskip=15pt plus 4pt minus 10pt
  26 \belowdisplayshortskip=8.5pt plus 3.5pt minus 4.5pt
  27
  28 %%% Miscellanea %%%
  29
  30 \def\em#1{{\it #1\/}}
  31 \def\df#1{{\it #1\/}}   % when we define something
  32 \def\O{{\cal O}}
  33 \def\<#1>{\leavevmode\hbox{\it #1\/}}
  34 \let\>=\noindent
  35 \def\qed{{\parfillskip=0pt\allowbreak\hfill\nobreak $\spadesuit$\par}}
  36 \def\qeditem{{\parfillskip=0pt\hfill\rlap{\hskip\rightskip\llap{$\spadesuit$}}\par}}
  37 \def\FIXME#1{\>{\bo TODO:} #1}
  38 \def\symdiff{\mathbin{\Delta}}
  39 \def\rack#1#2{\setbox0=\hbox{#1}\hbox to \wd0{#2}}
  40 \def\o#1{\accent23 #1}
  41 \def\mst{\mathop{\rm mst}}
  42 \def\deg{\mathop{\rm deg}}
  43 \def\timesalpha{\mskip2mu\alpha}
  44 \def\timesbeta{\mskip2mu\beta}
  45 \def\tower{\mathop\uparrow}
  46 \def\Forb{{\rm Forb}}
  47 \def\minorof{\preccurlyeq}
  48 \def\per{\mathop{\rm per}}
  49
  50 % Bit strings
  51 \def\0{{\bf 0}}
  52 \def\1{{\bf 1}}
  53 \def\(#1){\mathord{\left<#1\right>}}
  54
  55 % Bitwise operations
  56 \def\shl{\mathbin{<\!<}}
  57 \def\shr{\mathbin{>\!>}}
  58 \def\bop#1{\mathbin{\hbox{\sc #1}}}
  59 \def\band{\bop{and}}
  60 \def\bor{\bop{or}}
  61 \def\bxor{\bop{xor}}
  62 \def\bnot{\mathop{\hbox{\sc not}}}
  63
  64 % A reversed version of \ddots with extra space at the top to get good alignment of exponents.
  65 \def\rddots{\mathinner{\mkern1mu\raise\p@\vbox{\kern7\p@\hbox{.}}\mkern2mu
  66     \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\raise11\p@\hbox{}\mkern1mu}}
  67
  68 % Footnotes
  69 \newcount\footcnt
  70 \footcnt=0
  71 \def\foot#1{\global\advance\footcnt by 1{\parindent=0.25in\parskip=0pt\footnote{$^{\bf\the\footcnt}$}{#1}}}
  72
  73 %%% Fonts %%%
  74
  75 \font\twelverm=cmr12
  76 \font\twelveit=cmti12
  77 \font\twelvebf=cmbx12
  78
  79 %\font\twelverm=pplr8z at 12pt
  80 %\font\twelveit=pplri8z at 12pt
  81 %\font\twelvebf=pplb8z at 12pt
  82
  83 \font\twelvesl=cmsl12
  84 \font\twelveb=cmb12
  85 \font\twelvesc=cmcsc12
  86
  87 \def\mathf@nt#1#2#3#4{%
  88 \toks0=\expandafter{\csname#1#2\endcsname}%
  89 \expandafter\ifx\the\toks0\relax%
  90 %\immediate\write-1{bb \the\toks0=#4#2#3}%
  91 \global\expandafter\font\the\toks0=#4#2#3%
  92 \fi%
  93 \edef\m@@f{\the\toks0}}
  94
  95 \def\fntmathsize{12}
  96 \def\fntmathtok{twelve}
  97 \def\fntmathssize{8}
  98 \def\fntmathstok{eight}
  99 \def\fntmathsssize{6}
 100 \def\fntmathsstok{six}
 101
 102 \mathf@nt{\fntmathtok}{r}{\fntmathsize}{cm}\textfont0=\m@@f
 103 \mathf@nt{\fntmathstok}{r}{\fntmathssize}{cm}\scriptfont0=\m@@f
 104 \mathf@nt{\fntmathsstok}{r}{\fntmathsssize}{cm}\scriptscriptfont0=\m@@f
 105 \mathf@nt{\fntmathtok}{mi}{\fntmathsize}{cm}\skewchar\m@@f='177\textfont1=\m@@f
 106 \mathf@nt{\fntmathstok}{mi}{\fntmathssize}{cm}\skewchar\m@@f='177\scriptfont1=\m@@f
 107 \mathf@nt{\fntmathsstok}{mi}{\fntmathsssize}{cm}\skewchar\m@@f='177\scriptscriptfont1=\m@@f
 108 \mathf@nt{\fntmathtok}{sy}{\fntmathsize}{cm}\skewchar\m@@f='60\textfont2=\m@@f
 109 \mathf@nt{\fntmathstok}{sy}{\fntmathssize}{cm}\skewchar\m@@f='60\scriptfont2=\m@@f
 110 \mathf@nt{\fntmathsstok}{sy}{\fntmathsssize}{cm}\skewchar\m@@f='60\scriptscriptfont2=\m@@f
 111 \mathf@nt{\fntmathtok}{ex}{\fntmathsize}{cm}\textfont3=\m@@f\scriptfont3=\m@@f\scriptscriptfont3=\m@@f
 112 \mathf@nt{\fntmathtok}{ti}{\fntmathsize}{cm}\textfont\itfam=\m@@f
 113 \mathf@nt{\fntmathtok}{sl}{\fntmathsize}{cm}\textfont\slfam=\m@@f
 114 \mathf@nt{\fntmathtok}{bx}{\fntmathsize}{cm}\textfont\bffam=\m@@f
 115 \mathf@nt{\fntmathtok}{tt}{\fntmathsize}{cm}\hyphenchar\m@@f=-1\textfont\ttfam=\m@@f
 116 \mathf@nt{\fntmathtok}{msam}{\fntmathsize}{}\textfont\msafam=\m@@f
 117 \mathf@nt{\fntmathstok}{msam}{\fntmathssize}{}\scriptfont\msafam=\m@@f
 118 \mathf@nt{\fntmathsstok}{msam}{\fntmathsssize}{}\scriptscriptfont\msafam=\m@@f
 119 \mathf@nt{\fntmathtok}{msbm}{\fntmathsize}{}\textfont\msbfam=\m@@f
 120 \mathf@nt{\fntmathstok}{msbm}{\fntmathssize}{}\scriptfont\msbfam=\m@@f
 121 \mathf@nt{\fntmathsstok}{msbm}{\fntmathsssize}{}\scriptscriptfont\msbfam=\m@@f
 122
 123 % Blackboard bold font
 124 \newfam\bbfam
 125 \font\bbtwelve=bbm12
 126 \font\bbeight=bbm8
 127 \font\bbsix=bbm6
 128 \textfont\bbfam=\bbtwelve
 129 \scriptfont\bbfam=\bbeight
 130 \scriptscriptfont\bbfam=\bbsix
 131 \def\bb{\bbtwelve\fam\bbfam}
 132
 133 % Font switches
 134 \def\rm{\fam\z@\twelverm}
 135 \def\it{\fam\itfam\twelveit}
 136 \def\bo{\fam\bffam\twelveb}
 137 \def\bf{\fam\bffam\twelvebf}
 138 \def\tt{\fam\ttfam\twelvett\hyphenchar\twelvett=-1\relax}
 139 \def\sc{\twelvesc}
 140 \def\sl{\fam\slfam\twelvesl}
 141
 142 % Switch to 12pt baselines
 143 \rm
 144 \baselineskip=14.4pt
 145 \lineskip=1.2pt
 146 \setbox\strutbox=\hbox{\vrule height 10.2pt depth 4.2pt width 0pt}
 147
 148 % Other fonts
 149 \font\chapfont=csssdc17 scaled \magstep1
 150 \font\secfont=csb14
 151 \font\secitfont=csbxti14
 152
 153 %%% FIXME
 154 \footline={\hss\twelverm\folio\hss}
 155
 156 %%% Enumerated lists %%%
 157
 158 \newif\ifitem\itemtrue
 159 \newbox\itembox
 160 \newcount\itemcount
 161
 162 \def\interlistskip{\vskip 3pt plus 2pt minus 1pt}
 163
 164 \def\itemspacingrules{\ifitem\advance\leftskip by \parindent\parindent=0pt\itemfalse\else
 165 \advance\leftskip by 2.5em\fi\rightskip=\leftskip}
 166
 167 \def\inititemize{\interlistskip\begingroup
 168 \parskip=1pt plus 0.3pt minus 0.1pt
 169 \itemspacingrules}
 170
 171 \def\itemize#1{\inititemize\setbox\itembox\llap{#1\hskip 0.4em}%
 172 \let\:=\singleitem}
 173
 174 \def\singleitem{\par\leavevmode\copy\itembox}
 175
 176 \def\endlist{\interlistskip\endgroup}
 177
 178 \def\ibull{\raise0.2ex\hbox{$\bullet$}} % Signs frequently used for \itemize
 179 \def\idot{\raise0.2ex\hbox{$\cdot$}}
 180 \def\istar{\raise0.2ex\hbox{$\ast$}}
 181
 182 \def\numlist#1{\inititemize\itemcount=0\let\:=\numbereditem
 183 \let\itemnumbering=#1}
 184
 185 \def\numbereditem{\par\leavevmode\advance\itemcount by 1
 186 \llap{\itemnumbering\hskip 0.4em}}
 187
 188 \def\nnorm{\the\itemcount}
 189 \def\ndotted{\nnorm.}
 190 \def\nparen{\nnorm)}
 191 \def\nroman{\romannumeral\itemcount}
 192 \def\nromanp{\nroman)}
 193 \def\nalpha{\count@=96\advance\count@ by\itemcount\char\count@)}
 194 \def\nAlpha{\count@=64\advance\count@ by\itemcount\char\count@)}
 195 \def\ngreek{$\ifcase\itemcount\or\alpha\or\beta\or\gamma\or\delta\or\epsilon\or
 196 \zeta\or\eta\or\theta\or\iota\or\kappa\or\lambda\or\mu\or\nu\or\xi\or\pi\or\rho
 197 \or\sigma\or\tau\or\upsilon\or\phi\or\chi\or\psi\or\omega\fi$)}
 198
 199 % New \frenchspacing, which doesn't leave unwanted spaces in text.
 200 \def\frenchsp@cing{\sfcode`\.\@m \sfcode`\?\@m \sfcode`\!\@m%
 201 \sfcode`\:\@m \sfcode`\;\@m \sfcode`\,\@m}
 202
 203 %%% Local verbatim mode %%%
 204
 205 \def\make@ther#1{\catcode`#1=12\relax}
 206 \def\setverb@tim{\tt\frenchsp@cing\catcode`\`=13\catcode`\'=13\n@ligs%
 207 \let\do=\make@ther\dospecials\obeyspaces}
 208
 209 {\catcode`'=13
 210 \catcode``=13
 211 \gdef\n@ligs{\def`{\relax\lq}\def'{\relax\rq}}}
 212
 213 {\obeyspaces
 214 \global\chardef\sp@ce=32
 215 \gdef\showspaces{\let =\sp@ce}
 216 \global\let =\ }
 217
 218 \catcode124=\active % Make | active
 219 \def\ttst@rt{\begingroup\setverb@tim\let|=\endgroup}
 220 \let|=\ttst@rt
 221
 222 %%% Verbatim mode for text in { } %%%
 223
 224 \newskip\verbglue\newskip\verblineglue
 225 \verbglue=3pt plus 1pt minus 0.3pt
 226 \verblineglue=0pt plus 1.5pt
 227 \def\verblocaldefs{}
 228
 229 \newdimen\tabwidth
 230 \newcount\tabsize
 231 \tabsize=8
 232 \newdimen\t@b
 233
 234 \newcount\vercnt
 235 \def\v@rbend{\par\endgroup\vskip\verbglue}
 236 \def\v@rbl{\ifnum\vercnt>0\{\fi\global\advance\vercnt by 1\relax}
 237 \def\v@rbr{\ifnum\vercnt>1\}\else\v@rbend\fi\global\advance\vercnt by -1\relax}
 238 \def\v@rbparams{\setverb@tim\parskip=\verblineglue\parindent=0pt\raggedbottom%
 239 \rightskip\z@ plus1fil\pretolerance=10000\tolerance=10000\vercnt=0%
 240 \catcode124=12\setupt@bs\vskip\verbglue\defb@x\obeylines}
 241
 242 \def\startb@x{\setbox0=\hbox\bgroup}
 243 \def\defb@x{\def\par{\leavevmode\egroup\box0\endgraf}%
 244 \everypar{\startb@x}}
 245
 246 {\catcode`\^^I=\active
 247 \gdef\setupt@bs{\catcode`\^^I=\active
 248 \setbox0=\hbox{\tt\ }\tabwidth=\wd0\multiply\tabwidth by \tabsize
 249 \def^^I{\leavevmode\egroup\t@b=\wd0\divide\t@b by \tabwidth%
 250 \multiply\t@b by \tabwidth%
 251 \advance\t@b by \tabwidth\advance\t@b by -\wd0\box0\hbox to \t@b{}\startb@x}
 252 }}
 253
 254 {
 255 \catcode`[=1\catcode`]=2\catcode123=\active\catcode125=\active
 256 \gdef\verbatim[\begingroup\v@rbparams\catcode123=\active\catcode125=\active%
 257 \let{=\v@rbl\let}=\v@rbr\chardef\{=123\chardef\}=125\verblocaldefs
 258 ]]
 259
 260 \def\verbinput#1{\begingroup\v@rbparams\input #1\endgroup}
 261
 262 %%% Algorithms %%%
 263
 264 %       \algo{jmeno algoritmu}
 265 %       \algin popis vstupu
 266 %       \:krok
 267 %       \:krok
 268 %       \::vnoreny krok
 269 %       \algout popis vystupu
 270 %       \endalgo
 271
 272 \def\algo{
 273 \interlistskip
 274 \begingroup
 275 \let\:=\algoitem
 276 \parskip=1pt plus 1pt minus 0.3pt
 277 \rightskip=2em
 278 \itemcount=0
 279 \smallskip
 280 }
 281 \def\endalgo{\interlistskip\endgroup}
 282 \def\algopar{\par
 283 \parindent=2em
 284 \hangindent=4em
 285 \hangafter=1
 286 \leavevmode
 287 }
 288 \def\algoitem{
 289 \algopar\advance\itemcount by 1
 290 \hbox to 2em{\hss \the\itemcount. }%
 291 \futurelet\next\algoitemh}
 292 \def\algoitemh{\ifx\next:\let\next=\algohang\else\let\next=\relax\fi\next}
 293 \def\algohang:{\advance\hangindent by 2em \hskip 2em\futurelet\next\algoitemh}
 294 \def\algin{\par{\sl Input:\/} }
 295 \def\algout{\par{\sl Output:\/} }
 296
 297 %%% Constructs used in algorithms %%%
 298
 299 \def\={\leftarrow}
 300 \def\cmt#1{~~{\sl (#1)}}
 301
 302 %%% Chapters, sections and proclamations %%%
 303
 304 \newcount\chapcount
 305 \newcount\seccount
 306 \newcount\thmcount
 307 \chapcount=0
 308 \seccount=0
 309 \thmcount=0
 310 \def\currentid{??}
 311
 312 \def\chapter#1{\vfill\supereject
 313 \advance\chapcount by 1
 314 \seccount=0
 315 \thmcount=0
 316 \footcnt=0
 317 \edef\currentid{\the\chapcount}
 318 \leftline{\chapfont\currentid. #1}
 319 \bigskip
 320 }
 321
 322 \def\section#1{\bigskip
 323 \advance\seccount by 1
 324 \thmcount=0
 325 \edef\currentid{\the\chapcount.\the\seccount}
 326 \leftline{\secfont\currentid. #1}
 327 \medskip
 328 }
 329
 330 \def\para{\advance\thmcount by 1
 331 \edef\currentid{\the\chapcount.\the\seccount.\the\thmcount}
 332 \noindent {\bo \currentid.\enspace}}
 333
 334 \def\proclaim#1{\para {\bo #1.\enspace}}
 335
 336 \def\thm{\proclaim{Theorem}}
 337 \def\lemma{\proclaim{Lemma}}
 338 \def\defn{\proclaim{Definition}}
 339 \def\problem{\proclaim{Problem}}
 340 \def\obs{\proclaim{Observation}}
 341 \def\rem{\proclaim{Remark}}
 342 \def\alg{\proclaim{Algorithm}}
 343 \def\impl{\proclaim{Implementation}}
 344 \def\cor{\proclaim{Corollary}}
 345 \def\nota{\proclaim{Notation}}
 346 \def\example{\proclaim{Example}}
 347
 348 \def\label#1{{\sl (#1)\/}\enspace}
 349 \def\labelx#1{\label{#1}\hfil\break\kern 0pt}   % Eat spaces
 350
 351 \def\thmn{\thm\labelx}
 352 \def\lemman{\lemma\labelx}
 353 \def\defnn{\defn\labelx}
 354 \def\algn{\alg\label}
 355 \def\notan{\nota\labelx}
 356 \def\examplen{\example\labelx}
 357
 358 \def\proof{\noindent {\sl Proof.}\enspace}
 359 \def\proofsketch{\noindent {\sl Proof sketch.}\enspace}
 360
 361 %%% References %%%
 362
 363 \newwrite\ids
 364 \def\writeid#1#2{\immediate\write\ids{\string\def\expandafter\string\csname id#1\endcsname{#2}}}
 365
 366 \immediate\openin\ids=\jobname.ids
 367 \ifeof\ids
 368 \else
 369 \input \jobname.ids
 370 \fi
 371 \immediate\closein\ids
 372 \immediate\openout\ids=\jobname.ids
 373
 374 \def\ref#1{\expandafter\ifx\csname id#1\endcsname\relax
 375 {\bo ??}%
 376 \immediate\write16{*** Warning: Reference #1 undefined ***}%
 377 \else
 378 \csname id#1\endcsname
 379 \fi
 380 }
 381
 382 \def\id#1{\writeid{#1}{\currentid}}
 383
 384 %%% Bibliography %%%
 385
 386 %\bibliographystyle{abbrv}
 387 \bibliographystyle{alpha}
 388 \def\dumpbib{
 389   \def\bblhook{\parskip=2pt plus 1pt minus 0.5pt}
 390   \bibliography{biblio}
 391 }
 392
 393 %%% Figures %%%
 394
 395 \def\figure#1#2#3{\midinsert
 396 \medskip
 397 \centerline{\epsfxsize=#2\epsfbox{pic/#1}}
 398 \medskip
 399 \smallskip
 400 \centerline{#3}
 401 \endinsert}
 402
 403 %%% Stand-alone chapters %%%
 404
 405 \def\endpart{
 406   \section{Bibliography}
 407   \dumpbib
 408   \vfill\supereject\end
 409 }
 410
 411 %%% The End %%%
 412
 413 \catcode`@=12