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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 % Parameters for final typesetting (bigger inner margins etc.)
20 \newif\iffinal
21 \finaltrue
22 \newdimen\hwobble
23 \advance\hsize by -10mm
24
25 \iffinal
26 \hwobble=10mm
27 \else
28 \hwobble=0mm
29 \fi
30
31 % Glue
32 \smallskipamount=4pt plus 1.2pt minus 1.2pt
33 \medskipamount=7pt plus 2.5pt minus 2pt
34 \bigskipamount=15pt plus 5pt minus 4pt
35
36 \abovedisplayskip=15pt plus 4pt minus 10pt
37 \abovedisplayshortskip=0pt plus 3pt
38 \belowdisplayskip=15pt plus 4pt minus 10pt
39 \belowdisplayshortskip=8.5pt plus 3.5pt minus 4.5pt
40
41 %%% Miscellanea %%%
42
43 \def\em#1{{\it #1\/}}
44 \def\df#1{{\it #1\/}}   % when we define something
45 \def\O{{\cal O}}
46 \def\<#1>{\ifmmode
47     \mathchoice{\hbox{\it #1\/}}{\hbox{\it #1\/}}{\hbox{\eightti #1\/}}{\hbox{\sixti #1\/}}%
48   \else\leavevmode\hbox{\it #1\/}\fi}
49 \let\>=\noindent
50 \def\qed{{\parfillskip=0pt\allowbreak\hfill\nobreak $\spadesuit$\par}}
51 \def\qeditem{{\parfillskip=0pt\hfill\rlap{\hskip\rightskip\llap{$\spadesuit$}}\par}}
52 \def\qedmath{\eqno{\spadesuit}}
53 \def\FIXME#1{\>{\bo TODO:} #1}
54 \def\symdiff{\mathbin{\Delta}}
55 \def\rack#1#2{\setbox0=\hbox{#1}\hbox to \wd0{#2}}
56 \def\o#1{\accent23 #1}
57 \def\mst{\mathop{\rm mst}}
58 \def\msf{\mathop{\rm msf}}
59 \def\deg{\mathop{\rm deg}}
60 \def\timesalpha{\mskip2mu\alpha}
61 \def\timesbeta{\mskip2mu\beta}
62 \def\tower{\mathbin\uparrow}
63 \def\Forb{{\rm Forb}}
64 \def\minorof{\preccurlyeq}
65 \def\per{\mathop{\rm per}}
66 \def\poly{\mathop{\rm poly}}
67 \def\E{{\bb E}}
68 \def\crpt{\mathbin{\Uparrow}}
69 \def\C{{\cal C}}
70
71 \def\brk{\hfil\break}
72
73 % Bit strings
74 \def\0{{\bf 0}}
75 \def\1{{\bf 1}}
76 \def\(#1){\mathord{\left<#1\right>}}
77
78 % Bitwise operations
79 \def\shl{\mathbin{<\!<}}
80 \def\shr{\mathbin{>\!>}}
81 \def\bop#1{\mathbin{\hbox{\sc #1}}}
82 \def\band{\bop{and}}
83 \def\bor{\bop{or}}
84 \def\bxor{\bop{xor}}
85 \def\bnot{\mathop{\hbox{\sc not}}}
86
87 % A reversed version of \ddots with extra space at the top to get good alignment of exponents.
88 \def\rddots{\mathinner{\mkern1mu\raise\p@\vbox{\kern7\p@\hbox{.}}\mkern2mu
89     \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\raise11\p@\hbox{}\mkern1mu}}
90
91 % Footnotes
92 \newcount\footcnt
93 \footcnt=0
94 \def\foot#1{\global\advance\footcnt by 1{\parindent=0.25in\parskip=0pt\footnote{$^{\bf\the\footcnt}$}{#1}}}
95
96 %%% Fonts %%%
97
98 \font\twelverm=cmr12
99 \font\twelveit=cmti12
100 \font\twelvebf=cmbx12
101
102 %\font\twelverm=pplr8z at 12pt
103 %\font\twelveit=pplri8z at 12pt
104 %\font\twelvebf=pplb8z at 12pt
105
106 \font\twelvesl=cmsl12
107 \font\twelveb=cmb12
108 \font\twelvesc=cmcsc12
109
110 \def\mathf@nt#1#2#3#4{%
111 \toks0=\expandafter{\csname#1#2\endcsname}%
112 \expandafter\ifx\the\toks0\relax%
113 %\immediate\write-1{bb \the\toks0=#4#2#3}%
114 \global\expandafter\font\the\toks0=#4#2#3%
115 \fi%
116 \edef\m@@f{\the\toks0}}
117
118 \def\fntmathsize{12}
119 \def\fntmathtok{twelve}
120 \def\fntmathssize{8}
121 \def\fntmathstok{eight}
122 \def\fntmathsssize{6}
123 \def\fntmathsstok{six}
124
125 \mathf@nt{\fntmathtok}{r}{\fntmathsize}{cm}\textfont0=\m@@f
126 \mathf@nt{\fntmathstok}{r}{\fntmathssize}{cm}\scriptfont0=\m@@f
127 \mathf@nt{\fntmathsstok}{r}{\fntmathsssize}{cm}\scriptscriptfont0=\m@@f
128 \mathf@nt{\fntmathtok}{mi}{\fntmathsize}{cm}\skewchar\m@@f='177\textfont1=\m@@f
129 \mathf@nt{\fntmathstok}{mi}{\fntmathssize}{cm}\skewchar\m@@f='177\scriptfont1=\m@@f
130 \mathf@nt{\fntmathsstok}{mi}{\fntmathsssize}{cm}\skewchar\m@@f='177\scriptscriptfont1=\m@@f
131 \mathf@nt{\fntmathtok}{sy}{\fntmathsize}{cm}\skewchar\m@@f='60\textfont2=\m@@f
132 \mathf@nt{\fntmathstok}{sy}{\fntmathssize}{cm}\skewchar\m@@f='60\scriptfont2=\m@@f
133 \mathf@nt{\fntmathsstok}{sy}{\fntmathsssize}{cm}\skewchar\m@@f='60\scriptscriptfont2=\m@@f
134 \mathf@nt{\fntmathtok}{ex}{\fntmathsize}{cm}\textfont3=\m@@f\scriptfont3=\m@@f\scriptscriptfont3=\m@@f
135 \mathf@nt{\fntmathtok}{ti}{\fntmathsize}{cm}\textfont\itfam=\m@@f
136 \mathf@nt{\fntmathstok}{ti}{\fntmathssize}{cm}\scriptfont\itfam=\m@@f
137 \mathf@nt{\fntmathsstok}{ti}{\fntmathssize}{cm}\scriptscriptfont\itfam=\m@@f
138 \mathf@nt{\fntmathtok}{sl}{\fntmathsize}{cm}\textfont\slfam=\m@@f
139 \mathf@nt{\fntmathtok}{bx}{\fntmathsize}{cm}\textfont\bffam=\m@@f
140 \mathf@nt{\fntmathtok}{tt}{\fntmathsize}{cm}\hyphenchar\m@@f=-1\textfont\ttfam=\m@@f
141 \mathf@nt{\fntmathtok}{msam}{\fntmathsize}{}\textfont\msafam=\m@@f
142 \mathf@nt{\fntmathstok}{msam}{\fntmathssize}{}\scriptfont\msafam=\m@@f
143 \mathf@nt{\fntmathsstok}{msam}{\fntmathsssize}{}\scriptscriptfont\msafam=\m@@f
144 \mathf@nt{\fntmathtok}{msbm}{\fntmathsize}{}\textfont\msbfam=\m@@f
145 \mathf@nt{\fntmathstok}{msbm}{\fntmathssize}{}\scriptfont\msbfam=\m@@f
146 \mathf@nt{\fntmathsstok}{msbm}{\fntmathsssize}{}\scriptscriptfont\msbfam=\m@@f
147
148 % Blackboard bold font
149 \newfam\bbfam
150 \font\bbtwelve=bbm12
151 \font\bbeight=bbm8
152 \font\bbsix=bbm6
153 \textfont\bbfam=\bbtwelve
154 \scriptfont\bbfam=\bbeight
155 \scriptscriptfont\bbfam=\bbsix
156 \def\bb{\bbtwelve\fam\bbfam}
157
158 % Font switches
159 \def\rm{\fam\z@\twelverm}
160 \def\it{\fam\itfam\twelveit}
161 \def\bo{\fam\bffam\twelveb}
162 \def\bf{\fam\bffam\twelvebf}
163 \def\tt{\fam\ttfam\twelvett\hyphenchar\twelvett=-1\relax}
164 \def\sc{\twelvesc}
165 \def\sl{\fam\slfam\twelvesl}
166
167 % Switch to 12pt baselines
168 \rm
169 \baselineskip=14.4pt
170 \lineskip=1.2pt
171 \setbox\strutbox=\hbox{\vrule height 10.2pt depth 4.2pt width 0pt}
172
173 % Other fonts
174 \font\chapfont=csssdc17 scaled \magstep1
175 \font\secfont=csb14
176 \font\secitfont=csbxti14
177
178 %%% FIXME
179 \footline={\hss\twelverm\folio\hss}
180
181 % We have to redefine \big and friends as we are using 12pt symbols
182 \def\big#1{{\hbox{$\left#1\vbox to11.5\p@{}\right.\n@space$}}}
183 \def\Big#1{{\hbox{$\left#1\vbox to14.5\p@{}\right.\n@space$}}}
184 \def\bigg#1{{\hbox{$\left#1\vbox to17.5\p@{}\right.\n@space$}}}
185 \def\Bigg#1{{\hbox{$\left#1\vbox to20.5\p@{}\right.\n@space$}}}
186
187 %%% Enumerated lists %%%
188
189 \newif\ifitem\itemtrue
190 \newbox\itembox
191 \newcount\itemcount
192
193 \def\interlistskip{\vskip 3pt plus 2pt minus 1pt}
194
195 \def\itemspacingrules{\ifitem\advance\leftskip by \parindent\parindent=0pt\itemfalse\else
196 \advance\leftskip by 2.5em\fi\rightskip=\leftskip}
197
198 \def\inititemize{\interlistskip\begingroup
199 \parskip=1pt plus 0.3pt minus 0.1pt
200 \itemspacingrules}
201
202 \def\itemize#1{\inititemize\setbox\itembox\llap{#1\hskip 0.4em}%
203 \let\:=\singleitem}
204
205 \def\singleitem{\par\leavevmode\copy\itembox}
206
207 \def\endlist{\interlistskip\endgroup}
208
209 \def\ibull{\raise0.2ex\hbox{$\bullet$}} % Signs frequently used for \itemize
210 \def\icirc{\raise0.2ex\hbox{$\circ$}} % Signs frequently used for \itemize
211 \def\idot{\raise0.2ex\hbox{$\cdot$}}
212 \def\istar{\raise0.2ex\hbox{$\ast$}}
213
214 \def\numlist#1{\inititemize\itemcount=0\let\:=\numbereditem
215 \let\itemnumbering=#1}
216
217 \def\numbereditem{\par\leavevmode\advance\itemcount by 1
218 \llap{\itemnumbering\hskip 0.4em}}
219
220 \def\nnorm{\the\itemcount}
221 \def\ndotted{\nnorm.}
222 \def\nparen{\nnorm)}
223 \def\nroman{\romannumeral\itemcount}
224 \def\nromanp{\nroman)}
225 \def\nalpha{\count@=96\advance\count@ by\itemcount\char\count@)}
226 \def\nAlpha{\count@=64\advance\count@ by\itemcount\char\count@)}
227 \def\ngreek{$\ifcase\itemcount\or\alpha\or\beta\or\gamma\or\delta\or\epsilon\or
228 \zeta\or\eta\or\theta\or\iota\or\kappa\or\lambda\or\mu\or\nu\or\xi\or\pi\or\rho
229 \or\sigma\or\tau\or\upsilon\or\phi\or\chi\or\psi\or\omega\fi$)}
230
231 % New \frenchspacing, which doesn't leave unwanted spaces in text.
232 \def\frenchsp@cing{\sfcode`\.\@m \sfcode`\?\@m \sfcode`\!\@m%
233 \sfcode`\:\@m \sfcode`\;\@m \sfcode`\,\@m}
234
235 %%% Local verbatim mode %%%
236
237 \def\make@ther#1{\catcode`#1=12\relax}
238 \def\setverb@tim{\tt\frenchsp@cing\catcode`\`=13\catcode`\'=13\n@ligs%
239 \let\do=\make@ther\dospecials\obeyspaces}
240
241 {\catcode`'=13
242 \catcode``=13
243 \gdef\n@ligs{\def`{\relax\lq}\def'{\relax\rq}}}
244
245 {\obeyspaces
246 \global\chardef\sp@ce=32
247 \gdef\showspaces{\let =\sp@ce}
248 \global\let =\ }
249
250 \catcode124=\active % Make | active
251 \def\ttst@rt{\begingroup\setverb@tim\let|=\endgroup}
252 \let|=\ttst@rt
253
254 %%% Verbatim mode for text in { } %%%
255
256 \newskip\verbglue\newskip\verblineglue
257 \verbglue=3pt plus 1pt minus 0.3pt
258 \verblineglue=0pt plus 1.5pt
259 \def\verblocaldefs{}
260
261 \newdimen\tabwidth
262 \newcount\tabsize
263 \tabsize=8
264 \newdimen\t@b
265
266 \newcount\vercnt
267 \def\v@rbend{\par\endgroup\vskip\verbglue}
268 \def\v@rbl{\ifnum\vercnt>0\{\fi\global\advance\vercnt by 1\relax}
269 \def\v@rbr{\ifnum\vercnt>1\}\else\v@rbend\fi\global\advance\vercnt by -1\relax}
270 \def\v@rbparams{\setverb@tim\parskip=\verblineglue\parindent=0pt\raggedbottom%
271 \rightskip\z@ plus1fil\pretolerance=10000\tolerance=10000\vercnt=0%
272 \catcode124=12\setupt@bs\vskip\verbglue\defb@x\obeylines}
273
274 \def\startb@x{\setbox0=\hbox\bgroup}
275 \def\defb@x{\def\par{\leavevmode\egroup\box0\endgraf}%
276 \everypar{\startb@x}}
277
278 {\catcode`\^^I=\active
279 \gdef\setupt@bs{\catcode`\^^I=\active
280 \setbox0=\hbox{\tt\ }\tabwidth=\wd0\multiply\tabwidth by \tabsize
281 \def^^I{\leavevmode\egroup\t@b=\wd0\divide\t@b by \tabwidth%
282 \multiply\t@b by \tabwidth%
283 \advance\t@b by \tabwidth\advance\t@b by -\wd0\box0\hbox to \t@b{}\startb@x}
284 }}
285
286 {
287 \catcode`[=1\catcode`]=2\catcode123=\active\catcode125=\active
288 \gdef\verbatim[\begingroup\v@rbparams\catcode123=\active\catcode125=\active%
289 \let{=\v@rbl\let}=\v@rbr\chardef\{=123\chardef\}=125\verblocaldefs
290 ]]
291
292 \def\verbinput#1{\begingroup\v@rbparams\input #1\endgroup}
293
294 %%% Algorithms %%%
295
296 %       \algo{jmeno algoritmu}
297 %       \algin popis vstupu
298 %       \:krok
299 %       \:krok
300 %       \::vnoreny krok
301 %       \algout popis vystupu
302 %       \endalgo
303
304 \def\algo{
305 \interlistskip
306 \begingroup
307 \let\:=\algoitem
308 \parskip=1pt plus 1pt minus 0.3pt
309 \rightskip=2em
310 \itemcount=0
311 \smallskip
312 }
313 \def\endalgo{\interlistskip\endgroup}
314 \def\algopar{\par
315 \parindent=2em
316 \hangindent=4em
317 \hangafter=1
318 \leavevmode
319 }
320 \def\algoitem{
321 \algopar\advance\itemcount by 1
322 \hbox to 2em{\hss \the\itemcount. }%
323 \futurelet\next\algoitemh}
324 \def\algoitemh{\ifx\next:\let\next=\algohang\else\let\next=\relax\fi\next}
325 \def\algohang:{\advance\hangindent by 2em \hskip 2em\futurelet\next\algoitemh}
326 \def\algin{\par{\sl Input:\/} }
327 \def\algout{\par{\sl Output:\/} }
328
329 %%% Constructs used in algorithms %%%
330
331 \def\={\leftarrow}
332 \def\cmt#1{~~{\sl (#1)}}
333
334 %%% Chapters, sections and proclamations %%%
335
336 \newcount\chapcount
337 \newcount\seccount
338 \newcount\thmcount
339 \newcount\tmpcount
340 \chapcount=0
341 \seccount=0
342 \thmcount=0
343 \def\currentid{??}
344 \def\currentchap{??}
345
346 \def\appendices{\chapcount=99}
347
348 \def\oddpage{%
349 \iffinal
350   \ifodd\pageno
351   \else
352     \hglue 1in \vfill\supereject
353   \fi
354 \fi
355 }
356
357 \def\rawchapter#1{\vfill\supereject
358 \oddpage
359 \leftline{\chapfont #1}
360 \bigskip
361 }
362
363 \def\unchapter#1{
364 \rawchapter{#1}
365 \writetoc{unchap}{#1}
366 }
367
368 \def\chapter#1{\advance\chapcount by 1
369 \seccount=0
370 \thmcount=0
371 \footcnt=0
372 % Chapter name
373   \ifnum\chapcount>99
374     \tmpcount=\chapcount
375     \advance\tmpcount by -100
376     \edef\currentchap{\ifcase\tmpcount A\or B\or C\or D\or E\or ZZZ\fi}
377   \else
378     \edef\currentchap{\the\chapcount}
379   \fi
380 \edef\currentid{\currentchap}
381 \rawchapter{\currentid. #1}
382 \writetoc{chap}{#1}
383 }
384
385 \def\vensure#1{\dimen0=#1
386 \vskip 0pt plus \dimen0
387 \penalty-1000
388 \vskip 0pt plus -\dimen0
389 }
390
391 \def\section#1{\bigskip
392 \vensure{0.5in}
393 \advance\seccount by 1
394 \thmcount=0
395 \edef\currentid{\currentchap.\the\seccount}
396 \leftline{\secfont\currentid. #1}
397 \nobreak
398 \medskip
399 \nobreak
400 \writetoc{sec}{#1}
401 }
402
403 \def\para{\advance\thmcount by 1
404 \edef\currentid{\currentchap.\the\seccount.\the\thmcount}
405 \noindent {\bo \currentid.\enspace}}
406
407 \def\proclaim#1{\para {\bo #1.\enspace}}
408
409 \def\thm{\proclaim{Theorem}}
410 \def\lemma{\proclaim{Lemma}}
411 \def\defn{\proclaim{Definition}}
412 \def\problem{\proclaim{Problem}}
413 \def\obs{\proclaim{Observation}}
414 \def\rem{\proclaim{Remark}}
415 \def\alg{\proclaim{Algorithm}}
416 \def\impl{\proclaim{Implementation}}
417 \def\cor{\proclaim{Corollary}}
418 \def\nota{\proclaim{Notation}}
419 \def\example{\proclaim{Example}}
420
421 \def\label#1{{\sl (#1)\/}\enspace}
422 \def\labelx#1{\label{#1}\hfil\break\kern 0pt}   % Eat spaces
423
424 \def\thmn{\thm\labelx}
425 \def\lemman{\lemma\labelx}
426 \def\defnn{\defn\labelx}
427 \def\corn{\cor\labelx}
428 \def\algn{\alg\label}
429 \def\notan{\nota\labelx}
430 \def\examplen{\example\labelx}
431 \def\problemn{\problem\labelx}
432 \def\remn{\rem\labelx}
433
434 \def\paran#1{\para {\sl #1.\/}\enspace\kern 0pt}
435
436 \def\proof{\noindent {\sl Proof.}\enspace}
437 \def\proofsketch{\noindent {\sl Proof sketch.}\enspace}
438
439 %%% Table of contents %%%
440
441 \newwrite\toc
442 \immediate\openout\toc=\jobname.toc
443 \newif\iftoc
444 \tocfalse
445
446 \def\writetoc#1#2{
447   \toctrue
448   \toks0={\the\pageno}
449   \edef\tocaux{\write\toc{\noexpand\expandafter\noexpand\string\noexpand\csname toc#1\noexpand\endcsname{\currentid}{#2}{\the\toks0}}}
450   \tocaux
451   \tocfalse
452 }
453
454 \newwrite\tok
455 \def\includetoc{
456 \immediate\openin\tok=\jobname.tok
457 \ifeof\tok
458 \else
459 \input \jobname.tok
460 \fi
461 \immediate\closein\tok
462 }
463
464 \def\tocchap#1#2#3{\smallskip\line{\bo #1.~~#2 \dotfill ~#3}}
465 \def\tocsec#1#2#3{\line{#1.~~#2 \dotfill ~#3}}
466 \def\tocunchap#1#2#3{\smallskip\line{\bo #2 \dotfill ~#3}}
467
468 %%% References %%%
469
470 \newwrite\ids
471 \def\writeid#1#2{\immediate\write\ids{\string\def\expandafter\string\csname id#1\endcsname{#2}}}
472
473 \immediate\openin\ids=\jobname.ids
474 \ifeof\ids
475 \else
476 \input \jobname.ids
477 \fi
478 \immediate\closein\ids
479 \immediate\openout\ids=\jobname.ids
480
481 \def\ref#1{\expandafter\ifx\csname id#1\endcsname\relax
482 {\bo ??}%
483 \immediate\write16{*** Warning: Reference #1 undefined ***}%
484 \else
485 \csname id#1\endcsname
486 \fi
487 }
488
489 \def\id#1{\writeid{#1}{\currentid}}
490
491 %%% Bibliography %%%
492
493 %\bibliographystyle{abbrv}
494 \bibliographystyle{alpha}
495 \def\dumpbib{
496   \def\bblhook{\parskip=2pt plus 1pt minus 0.5pt}
497   \bibliography{biblio}
498 }
499
500 %%% Figures %%%
501
502 \def\float#1#2{\midinsert
503 \medskip
504 \centerline{#1}
505 \medskip
506 \smallskip
507 \centerline{#2}
508 \endinsert}
509
510 \def\figure#1#2#3{\float{\epsfxsize=#2\epsfbox{pic/#1}}{#3}}
511
512 \def\multicap#1{
513 \let\\=\break
514 \vbox{\hsize=0.7\hsize
515 \parindent=0pt
516 \leftskip=0pt plus 0.3\hsize
517 \rightskip=\leftskip
518 \parfillskip=0pt
519 #1
520 }}
521
522 %%% Stand-alone chapters %%%
523
524 \def\endpart{
525   \section{Bibliography}
526   \dumpbib
527   \vfill\supereject\end
528 }
529
530 %%% Hyphenation %%%
531
532 \hyphenation{Ra-ma-chan-dran}
533
534 %%% Output routine %%%
535
536 \output{\sagaoutput}
537
538 \def\sagaoutput{\ifodd\pageno \hoffset=\hwobble \else \hoffset=0pt \fi
539 \plainoutput}
540
541 \def\makefootline{\baselineskip30pt\lineskiplimit 0pt\line{\the\footline}}
542
543 \footline={\ifodd\pageno
544   {\hfil\twelvemi\the\pageno}%
545 \else
546   {\twelvemi\the\pageno\hfil}%
547 \fi
548 }
549
550 %%% The End %%%
551
552 \catcode`@=12