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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 \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\qedmath{\eqno{\spadesuit}}
38 \def\FIXME#1{\>{\bo TODO:} #1}
39 \def\symdiff{\mathbin{\Delta}}
40 \def\rack#1#2{\setbox0=\hbox{#1}\hbox to \wd0{#2}}
41 \def\o#1{\accent23 #1}
42 \def\mst{\mathop{\rm mst}}
43 \def\msf{\mathop{\rm msf}}
44 \def\deg{\mathop{\rm deg}}
45 \def\timesalpha{\mskip2mu\alpha}
46 \def\timesbeta{\mskip2mu\beta}
47 \def\tower{\mathop\uparrow}
48 \def\Forb{{\rm Forb}}
49 \def\minorof{\preccurlyeq}
50 \def\per{\mathop{\rm per}}
51 \def\poly{\mathop{\rm poly}}
52 \def\E{{\bb E}}
53
54 \def\brk{\hfil\break}
55
56 % Bit strings
57 \def\0{{\bf 0}}
58 \def\1{{\bf 1}}
59 \def\(#1){\mathord{\left<#1\right>}}
60
61 % Bitwise operations
62 \def\shl{\mathbin{<\!<}}
63 \def\shr{\mathbin{>\!>}}
64 \def\bop#1{\mathbin{\hbox{\sc #1}}}
65 \def\band{\bop{and}}
66 \def\bor{\bop{or}}
67 \def\bxor{\bop{xor}}
68 \def\bnot{\mathop{\hbox{\sc not}}}
69
70 % A reversed version of \ddots with extra space at the top to get good alignment of exponents.
71 \def\rddots{\mathinner{\mkern1mu\raise\p@\vbox{\kern7\p@\hbox{.}}\mkern2mu
72     \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\raise11\p@\hbox{}\mkern1mu}}
73
74 % Footnotes
75 \newcount\footcnt
76 \footcnt=0
77 \def\foot#1{\global\advance\footcnt by 1{\parindent=0.25in\parskip=0pt\footnote{$^{\bf\the\footcnt}$}{#1}}}
78
79 %%% Fonts %%%
80
81 \font\twelverm=cmr12
82 \font\twelveit=cmti12
83 \font\twelvebf=cmbx12
84
85 %\font\twelverm=pplr8z at 12pt
86 %\font\twelveit=pplri8z at 12pt
87 %\font\twelvebf=pplb8z at 12pt
88
89 \font\twelvesl=cmsl12
90 \font\twelveb=cmb12
91 \font\twelvesc=cmcsc12
92
93 \def\mathf@nt#1#2#3#4{%
94 \toks0=\expandafter{\csname#1#2\endcsname}%
95 \expandafter\ifx\the\toks0\relax%
96 %\immediate\write-1{bb \the\toks0=#4#2#3}%
97 \global\expandafter\font\the\toks0=#4#2#3%
98 \fi%
99 \edef\m@@f{\the\toks0}}
100
101 \def\fntmathsize{12}
102 \def\fntmathtok{twelve}
103 \def\fntmathssize{8}
104 \def\fntmathstok{eight}
105 \def\fntmathsssize{6}
106 \def\fntmathsstok{six}
107
108 \mathf@nt{\fntmathtok}{r}{\fntmathsize}{cm}\textfont0=\m@@f
109 \mathf@nt{\fntmathstok}{r}{\fntmathssize}{cm}\scriptfont0=\m@@f
110 \mathf@nt{\fntmathsstok}{r}{\fntmathsssize}{cm}\scriptscriptfont0=\m@@f
111 \mathf@nt{\fntmathtok}{mi}{\fntmathsize}{cm}\skewchar\m@@f='177\textfont1=\m@@f
112 \mathf@nt{\fntmathstok}{mi}{\fntmathssize}{cm}\skewchar\m@@f='177\scriptfont1=\m@@f
113 \mathf@nt{\fntmathsstok}{mi}{\fntmathsssize}{cm}\skewchar\m@@f='177\scriptscriptfont1=\m@@f
114 \mathf@nt{\fntmathtok}{sy}{\fntmathsize}{cm}\skewchar\m@@f='60\textfont2=\m@@f
115 \mathf@nt{\fntmathstok}{sy}{\fntmathssize}{cm}\skewchar\m@@f='60\scriptfont2=\m@@f
116 \mathf@nt{\fntmathsstok}{sy}{\fntmathsssize}{cm}\skewchar\m@@f='60\scriptscriptfont2=\m@@f
117 \mathf@nt{\fntmathtok}{ex}{\fntmathsize}{cm}\textfont3=\m@@f\scriptfont3=\m@@f\scriptscriptfont3=\m@@f
118 \mathf@nt{\fntmathtok}{ti}{\fntmathsize}{cm}\textfont\itfam=\m@@f
119 \mathf@nt{\fntmathtok}{sl}{\fntmathsize}{cm}\textfont\slfam=\m@@f
120 \mathf@nt{\fntmathtok}{bx}{\fntmathsize}{cm}\textfont\bffam=\m@@f
121 \mathf@nt{\fntmathtok}{tt}{\fntmathsize}{cm}\hyphenchar\m@@f=-1\textfont\ttfam=\m@@f
122 \mathf@nt{\fntmathtok}{msam}{\fntmathsize}{}\textfont\msafam=\m@@f
123 \mathf@nt{\fntmathstok}{msam}{\fntmathssize}{}\scriptfont\msafam=\m@@f
124 \mathf@nt{\fntmathsstok}{msam}{\fntmathsssize}{}\scriptscriptfont\msafam=\m@@f
125 \mathf@nt{\fntmathtok}{msbm}{\fntmathsize}{}\textfont\msbfam=\m@@f
126 \mathf@nt{\fntmathstok}{msbm}{\fntmathssize}{}\scriptfont\msbfam=\m@@f
127 \mathf@nt{\fntmathsstok}{msbm}{\fntmathsssize}{}\scriptscriptfont\msbfam=\m@@f
128
129 % Blackboard bold font
130 \newfam\bbfam
131 \font\bbtwelve=bbm12
132 \font\bbeight=bbm8
133 \font\bbsix=bbm6
134 \textfont\bbfam=\bbtwelve
135 \scriptfont\bbfam=\bbeight
136 \scriptscriptfont\bbfam=\bbsix
137 \def\bb{\bbtwelve\fam\bbfam}
138
139 % Font switches
140 \def\rm{\fam\z@\twelverm}
141 \def\it{\fam\itfam\twelveit}
142 \def\bo{\fam\bffam\twelveb}
143 \def\bf{\fam\bffam\twelvebf}
144 \def\tt{\fam\ttfam\twelvett\hyphenchar\twelvett=-1\relax}
145 \def\sc{\twelvesc}
146 \def\sl{\fam\slfam\twelvesl}
147
148 % Switch to 12pt baselines
149 \rm
150 \baselineskip=14.4pt
151 \lineskip=1.2pt
152 \setbox\strutbox=\hbox{\vrule height 10.2pt depth 4.2pt width 0pt}
153
154 % Other fonts
155 \font\chapfont=csssdc17 scaled \magstep1
156 \font\secfont=csb14
157 \font\secitfont=csbxti14
158
159 %%% FIXME
160 \footline={\hss\twelverm\folio\hss}
161
162 %%% Enumerated lists %%%
163
164 \newif\ifitem\itemtrue
165 \newbox\itembox
166 \newcount\itemcount
167
168 \def\interlistskip{\vskip 3pt plus 2pt minus 1pt}
169
170 \def\itemspacingrules{\ifitem\advance\leftskip by \parindent\parindent=0pt\itemfalse\else
171 \advance\leftskip by 2.5em\fi\rightskip=\leftskip}
172
173 \def\inititemize{\interlistskip\begingroup
174 \parskip=1pt plus 0.3pt minus 0.1pt
175 \itemspacingrules}
176
177 \def\itemize#1{\inititemize\setbox\itembox\llap{#1\hskip 0.4em}%
178 \let\:=\singleitem}
179
180 \def\singleitem{\par\leavevmode\copy\itembox}
181
182 \def\endlist{\interlistskip\endgroup}
183
184 \def\ibull{\raise0.2ex\hbox{$\bullet$}} % Signs frequently used for \itemize
185 \def\idot{\raise0.2ex\hbox{$\cdot$}}
186 \def\istar{\raise0.2ex\hbox{$\ast$}}
187
188 \def\numlist#1{\inititemize\itemcount=0\let\:=\numbereditem
189 \let\itemnumbering=#1}
190
191 \def\numbereditem{\par\leavevmode\advance\itemcount by 1
192 \llap{\itemnumbering\hskip 0.4em}}
193
194 \def\nnorm{\the\itemcount}
195 \def\ndotted{\nnorm.}
196 \def\nparen{\nnorm)}
197 \def\nroman{\romannumeral\itemcount}
198 \def\nromanp{\nroman)}
199 \def\nalpha{\count@=96\advance\count@ by\itemcount\char\count@)}
200 \def\nAlpha{\count@=64\advance\count@ by\itemcount\char\count@)}
201 \def\ngreek{$\ifcase\itemcount\or\alpha\or\beta\or\gamma\or\delta\or\epsilon\or
202 \zeta\or\eta\or\theta\or\iota\or\kappa\or\lambda\or\mu\or\nu\or\xi\or\pi\or\rho
203 \or\sigma\or\tau\or\upsilon\or\phi\or\chi\or\psi\or\omega\fi$)}
204
205 % New \frenchspacing, which doesn't leave unwanted spaces in text.
206 \def\frenchsp@cing{\sfcode`\.\@m \sfcode`\?\@m \sfcode`\!\@m%
207 \sfcode`\:\@m \sfcode`\;\@m \sfcode`\,\@m}
208
209 %%% Local verbatim mode %%%
210
211 \def\make@ther#1{\catcode`#1=12\relax}
212 \def\setverb@tim{\tt\frenchsp@cing\catcode`\`=13\catcode`\'=13\n@ligs%
213 \let\do=\make@ther\dospecials\obeyspaces}
214
215 {\catcode`'=13
216 \catcode``=13
217 \gdef\n@ligs{\def`{\relax\lq}\def'{\relax\rq}}}
218
219 {\obeyspaces
220 \global\chardef\sp@ce=32
221 \gdef\showspaces{\let =\sp@ce}
222 \global\let =\ }
223
224 \catcode124=\active % Make | active
225 \def\ttst@rt{\begingroup\setverb@tim\let|=\endgroup}
226 \let|=\ttst@rt
227
228 %%% Verbatim mode for text in { } %%%
229
230 \newskip\verbglue\newskip\verblineglue
231 \verbglue=3pt plus 1pt minus 0.3pt
232 \verblineglue=0pt plus 1.5pt
233 \def\verblocaldefs{}
234
235 \newdimen\tabwidth
236 \newcount\tabsize
237 \tabsize=8
238 \newdimen\t@b
239
240 \newcount\vercnt
241 \def\v@rbend{\par\endgroup\vskip\verbglue}
242 \def\v@rbl{\ifnum\vercnt>0\{\fi\global\advance\vercnt by 1\relax}
243 \def\v@rbr{\ifnum\vercnt>1\}\else\v@rbend\fi\global\advance\vercnt by -1\relax}
244 \def\v@rbparams{\setverb@tim\parskip=\verblineglue\parindent=0pt\raggedbottom%
245 \rightskip\z@ plus1fil\pretolerance=10000\tolerance=10000\vercnt=0%
246 \catcode124=12\setupt@bs\vskip\verbglue\defb@x\obeylines}
247
248 \def\startb@x{\setbox0=\hbox\bgroup}
249 \def\defb@x{\def\par{\leavevmode\egroup\box0\endgraf}%
250 \everypar{\startb@x}}
251
252 {\catcode`\^^I=\active
253 \gdef\setupt@bs{\catcode`\^^I=\active
254 \setbox0=\hbox{\tt\ }\tabwidth=\wd0\multiply\tabwidth by \tabsize
255 \def^^I{\leavevmode\egroup\t@b=\wd0\divide\t@b by \tabwidth%
256 \multiply\t@b by \tabwidth%
257 \advance\t@b by \tabwidth\advance\t@b by -\wd0\box0\hbox to \t@b{}\startb@x}
258 }}
259
260 {
261 \catcode`[=1\catcode`]=2\catcode123=\active\catcode125=\active
262 \gdef\verbatim[\begingroup\v@rbparams\catcode123=\active\catcode125=\active%
263 \let{=\v@rbl\let}=\v@rbr\chardef\{=123\chardef\}=125\verblocaldefs
264 ]]
265
266 \def\verbinput#1{\begingroup\v@rbparams\input #1\endgroup}
267
268 %%% Algorithms %%%
269
270 %       \algo{jmeno algoritmu}
271 %       \algin popis vstupu
272 %       \:krok
273 %       \:krok
274 %       \::vnoreny krok
275 %       \algout popis vystupu
276 %       \endalgo
277
278 \def\algo{
279 \interlistskip
280 \begingroup
281 \let\:=\algoitem
282 \parskip=1pt plus 1pt minus 0.3pt
283 \rightskip=2em
284 \itemcount=0
285 \smallskip
286 }
287 \def\endalgo{\interlistskip\endgroup}
288 \def\algopar{\par
289 \parindent=2em
290 \hangindent=4em
291 \hangafter=1
292 \leavevmode
293 }
294 \def\algoitem{
295 \algopar\advance\itemcount by 1
296 \hbox to 2em{\hss \the\itemcount. }%
297 \futurelet\next\algoitemh}
298 \def\algoitemh{\ifx\next:\let\next=\algohang\else\let\next=\relax\fi\next}
299 \def\algohang:{\advance\hangindent by 2em \hskip 2em\futurelet\next\algoitemh}
300 \def\algin{\par{\sl Input:\/} }
301 \def\algout{\par{\sl Output:\/} }
302
303 %%% Constructs used in algorithms %%%
304
305 \def\={\leftarrow}
306 \def\cmt#1{~~{\sl (#1)}}
307
308 %%% Chapters, sections and proclamations %%%
309
310 \newcount\chapcount
311 \newcount\seccount
312 \newcount\thmcount
313 \chapcount=0
314 \seccount=0
315 \thmcount=0
316 \def\currentid{??}
317
318 \def\chapter#1{\vfill\supereject
319 \advance\chapcount by 1
320 \seccount=0
321 \thmcount=0
322 \footcnt=0
323 \edef\currentid{\the\chapcount}
324 \leftline{\chapfont\currentid. #1}
325 \bigskip
326 }
327
328 \def\section#1{\bigskip
329 \advance\seccount by 1
330 \thmcount=0
331 \edef\currentid{\the\chapcount.\the\seccount}
332 \leftline{\secfont\currentid. #1}
333 \medskip
334 }
335
336 \def\para{\advance\thmcount by 1
337 \edef\currentid{\the\chapcount.\the\seccount.\the\thmcount}
338 \noindent {\bo \currentid.\enspace}}
339
340 \def\proclaim#1{\para {\bo #1.\enspace}}
341
342 \def\thm{\proclaim{Theorem}}
343 \def\lemma{\proclaim{Lemma}}
344 \def\defn{\proclaim{Definition}}
345 \def\problem{\proclaim{Problem}}
346 \def\obs{\proclaim{Observation}}
347 \def\rem{\proclaim{Remark}}
348 \def\alg{\proclaim{Algorithm}}
349 \def\impl{\proclaim{Implementation}}
350 \def\cor{\proclaim{Corollary}}
351 \def\nota{\proclaim{Notation}}
352 \def\example{\proclaim{Example}}
353
354 \def\label#1{{\sl (#1)\/}\enspace}
355 \def\labelx#1{\label{#1}\hfil\break\kern 0pt}   % Eat spaces
356
357 \def\thmn{\thm\labelx}
358 \def\lemman{\lemma\labelx}
359 \def\defnn{\defn\labelx}
360 \def\corn{\cor\labelx}
361 \def\algn{\alg\label}
362 \def\notan{\nota\labelx}
363 \def\examplen{\example\labelx}
364 \def\problemn{\problem\labelx}
365 \def\remn{\rem\labelx}
366
367 \def\paran#1{\para {\sl #1:}}
368
369 \def\proof{\noindent {\sl Proof.}\enspace}
370 \def\proofsketch{\noindent {\sl Proof sketch.}\enspace}
371
372 %%% References %%%
373
374 \newwrite\ids
375 \def\writeid#1#2{\immediate\write\ids{\string\def\expandafter\string\csname id#1\endcsname{#2}}}
376
377 \immediate\openin\ids=\jobname.ids
378 \ifeof\ids
379 \else
380 \input \jobname.ids
381 \fi
382 \immediate\closein\ids
383 \immediate\openout\ids=\jobname.ids
384
385 \def\ref#1{\expandafter\ifx\csname id#1\endcsname\relax
386 {\bo ??}%
387 \immediate\write16{*** Warning: Reference #1 undefined ***}%
388 \else
389 \csname id#1\endcsname
390 \fi
391 }
392
393 \def\id#1{\writeid{#1}{\currentid}}
394
395 %%% Bibliography %%%
396
397 %\bibliographystyle{abbrv}
398 \bibliographystyle{alpha}
399 \def\dumpbib{
400   \def\bblhook{\parskip=2pt plus 1pt minus 0.5pt}
401   \bibliography{biblio}
402 }
403
404 %%% Figures %%%
405
406 \def\figure#1#2#3{\midinsert
407 \medskip
408 \centerline{\epsfxsize=#2\epsfbox{pic/#1}}
409 \medskip
410 \smallskip
411 \centerline{#3}
412 \endinsert}
413
414 \def\multicap#1{
415 \let\\=\break
416 \vbox{\hsize=0.7\hsize
417 \parindent=0pt
418 \leftskip=0pt plus 0.3\hsize
419 \rightskip=\leftskip
420 \parfillskip=0pt
421 #1
422 }}
423
424 %%% Stand-alone chapters %%%
425
426 \def\endpart{
427   \section{Bibliography}
428   \dumpbib
429   \vfill\supereject\end
430 }
431
432 %%% The End %%%
433
434 \catcode`@=12