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Yu Cong
2025-06-21 20:40:06 +08:00
parent c74a801c2f
commit dfdc10893d
5 changed files with 514 additions and 23 deletions
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\ProvidesPackage{myctex}
\RequirePackage[fontset=none, scheme=plain]{ctex}
\RequirePackage{fontspec}
\newif\ifmyctex@sans
\myctex@sansfalse % Default is serif
% Declare and process options
\DeclareOption{sans}{\myctex@sanstrue}
\DeclareOption*{\PackageWarning{myctex}{Unknown option `\CurrentOption'}}
\ProcessOptions\relax
% Now use the conditional
\ifmyctex@sans
\setCJKmainfont{Source Han Sans SC}
\setCJKsansfont{Source Han Sans SC}
\setCJKmonofont{Source Han Sans SC}
\RequirePackage[fira]{fontsetup}
\RequirePackage{FiraMono}
\setmathfont{Fira Math}[range=\setminus]
\else
\setCJKmainfont{Source Han Serif SC}
\setCJKsansfont{Source Han Serif SC}
\setCJKmonofont{Source Han Serif SC}
\RequirePackage[charter]{mathdesign} % math font only for serif mode
\fi
% \setCJKmainfont{SourceHanSerifSC-Regular.otf}[BoldFont={SourceHanSerifSC-Bold.otf}, ItalicFont=SourceHanSerifSC-Regular.otf]
\RequirePackage[margin=1in]{geometry}
\RequirePackage{latexsym,amsmath}
\RequirePackage[dvipsnames]{xcolor}
\RequirePackage[colorlinks=true,urlcolor=Blue,citecolor=Green,linkcolor=BrickRed,unicode]{hyperref}
\RequirePackage[hyperref]{ntheorem} % theorem numbering
\RequirePackage{aliascnt}
\RequirePackage{xspace}
% \RequirePackage{minted}
\RequirePackage{graphicx} % essentials
% \RequirePackage{microtype}
\RequirePackage{eucal}
\RequirePackage[nocompress]{cite} % other convenient stuff
\RequirePackage{enumerate}
%\usepackage{pgf,tikz}
\RequirePackage{wrapfig}
\RequirePackage[medium,compact]{titlesec}
\RequirePackage{verbatim}
\newtheorem{theorem}{Theorem}[section]
\newaliascnt{lemma}{theorem}
\newaliascnt{corollary}{theorem}
\newaliascnt{conjecture}{theorem}
\newaliascnt{proposition}{theorem}
\newtheorem{lemma}{Lemma}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{conjecture}{Conjecture}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{problem}{Problem}
\newcommand{\lemmaautorefname}{Lemma}
\newcommand{\corollaryautorefname}{Corollary}
\newcommand{\conjectureautorefname}{Conjecture}
\newcommand{\propositionautorefname}{Proposition}
\newcommand{\problemautorefname}{Problem}
\newenvironment{definition}[1][Definition]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
\newenvironment{example}[1][Example]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
\newenvironment{remark}[1][Remark]{\begin{trivlist}
\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
\widowpenalty 5000
\clubpenalty 5000
\numberwithin{figure}{section}
\pagenumbering{arabic}
\urlstyle{same} % dammit
\hyphenation{co-or-din-ate co-or-din-ates half-plane half-space stereo-iso-mers stereo-iso-mer Round-table homol-ogous homol-ogy poly-hedron poly-hedra homeo-morphic homeo-morph-ism}
\pdfstringdefDisableCommands{\let\boldmath\relax} % allow \boldmath in section titles
\let\subsectionautorefname\sectionautorefname
\let\subsubsectionautorefname\sectionautorefname
% ----------------------------------------------------------------------
% Common Latin abbreviations, only one of which is actually kosher
% ----------------------------------------------------------------------
\def\etal{\emph{et~al.}} % and others
\def\ie{\emph{i.e.}} % that is
% \def\ie{\textcolor{red}{that is}}
\def\eg{\emph{e.g.}} % for example
% \def\eg{\textcolor{red}{for example}}
% -----------------------
% Common Names
% -----------------------
\def\Mobius{M\"obius\xspace}
% -----------------------
% useful shortcuts
% -----------------------
% \def\cost{\cent}
% ----------------------------------------------------------------------
% Simple math stuff
% ----------------------------------------------------------------------
% \renewcommand{\subset}{\subseteq}
% ---- SYMBOLS ----
\let\e\epsilon % a ``real'' epsilon — better yet, just use Unicode ε.
%
% I give up. These are in the wrong font, but my kludged versions
% LOOK like kludges, especially \Z, \Q, and \C.
%
\def\Real{\mathbb{R}}
\def\Proj{\mathbb{P}}
\def\Hyper{\mathbb{H}}
\def\Integer{\mathbb{Z}}
\def\Natural{\mathbb{N}}
\def\Complex{\mathbb{C}}
\def\Rational{\mathbb{Q}}
\let\N\Natural
\let\Q\Rational
\let\R\Real
\let\Z\Integer
\def\Rd{\Real^d}
\def\RP{\Real\Proj}
\def\CP{\Complex\Proj}
% ---- OPERATORS (requires amsmath) ----
\def\aff{\operatorname{aff}}
\def\area{\operatorname{area}}
\def\argmax{\operatornamewithlimits{arg\,max}}
\def\argmin{\operatornamewithlimits{arg\,min}}
\def\Aut{\operatorname{Aut}} % Automorphism group
\def\card{\operatorname{card}} % cardinality, deprecated for \abs
\def\conv{\operatorname{conv}}
\def\E{\operatorname{E}} % Expectation: $\E[X]$ (like \Pr)
\def\EE{\operatornamewithlimits{E}}
\def\Hom{\operatorname{Hom}} % Homomorphism group
\def\id{\operatorname{id}} % identity
\def\im{\operatorname{im}} % image
\def\lcm{\operatorname{lcm}}
\def\lfs{\operatorname{lfs}} % local feature size
\def\poly{\operatorname{poly}}
\def\polylog{\operatorname{polylog}}
\def\rank{\operatorname{rank}}
\def\rel{\operatorname{rel\,}} % relative (interior, boundary, etc.)
\def\sgn{\operatorname{sgn}}
\def\vol{\operatorname{vol}} % volume
\def\fp#1{^{\underline{#1}}} % falling powers: $n\fp{d}$
\def\rp#1{^{\overline{#1}}} % rising powers: $n\rp{d}$
\def\setsymdiff{\operatorname{\triangle}}
% --- Darts and fences ---
% less nice replacements for stmaryrd characters
\@ifundefined{shortrightarrow}{\let\shortrightarrow\rightarrow}{}
\@ifundefined{shortleftarrow}{\let\shortleftarrow\leftarrow}{}
\@ifundefined{shortuparrow}{\let\shortuparrow\uparrow}{}
\@ifundefined{shortdownarrow}{\let\shortdownarrow\downarrow}{}
\def\arcto{\mathord\shortrightarrow}
\def\arcfrom{\mathord\shortleftarrow}
\def\arc#1#2{#1\arcto#2}
\def\cra#1#2{#1\mathord\shortleftarrow#2}
\def\fence#1#2{#1\mathord\shortuparrow#2}
\def\ecnef#1#2{#1\mathord\shortdownarrow#2}
% --- Cheap displaystyle operators ---
\def\Frac#1#2{{\displaystyle\frac{#1}{#2}}}
\def\Sum{\sum\limits}
\def\Prod{\prod\limits}
\def\Union{\bigcup\limits}
\def\Inter{\bigcap\limits}
\def\Lor{\bigvee\limits}
\def\Land{\bigwedge\limits}
\def\Lim{\lim\limits}
\def\Max{\max\limits}
\def\Min{\min\limits}
% ---- RELATORS ----
\def\deq{\stackrel{\scriptscriptstyle\triangle}{=}} % Use := instead.
\def\into{\DOTSB\hookrightarrow} % = one-to-one
\def\onto{\DOTSB\twoheadrightarrow}
\def\inonto{\DOTSB\lhook\joinrel\twoheadrightarrow}
\def\from{\leftarrow}
\def\tofrom{\leftrightarrow}
\def\mapsfrom{\mathrel{\reflectbox{$\mapsto$}}}
\def\longmapsfrom{\mathrel{\reflectbox{$\longmapsto$}}}
% ---- DELIMITER PAIRS ----
% --- always self-scaling delmiter pairs ---
\def\set#1{\left\{ #1 \right\}}
\def\floor#1{\left\lfloor #1 \right\rfloor}
\def\ceil#1{\left\lceil #1 \right\rceil}
\def\seq#1{\left\langle #1 \right\rangle}
\def\abs#1{\left| #1 \right|}
\def\norm#1{\left\| #1 \right\|}
\def\paren#1{\left( #1 \right)} % need better macro name!
\def\brack#1{\left[ #1 \right]} % need better macro name!
\def\indic#1{\left[ #1 \right]} % indicator variable; Iverson notation
%
% Macros to typeset sets like {foo|bar} with all three delimiters
% correctly scaled to fit. What I *really* want is a \middle macro
% that acts just like \left and \right. Grumble.
%
% Set version is handled by package braket.
\def\Bigbar#1{\mathrel{\left|\vphantom{#1}\right.\n@space}}
\def\Seqbar#1#2{\Seq{#1 \Bigbar{#1 #2} #2}}
\def\Brackbar#1#2{\Brack{#1 \Bigbar{#1 #2} #2}}
% Math mode fbox
\def\mfbox#1{\mathchoice{{\fbox{\ensuremath{\displaystyle #1}}}}
{{\fbox{\ensuremath{\textstyle #1}}}}
{{\fbox{\ensuremath{\scriptstyle #1}}}}
{{\fbox{\ensuremath{\scriptscriptstyle #1}}}}}
% ---- ``ACCENTS'' ----
% NB: Commands equivalent to \lrarrowfill and \overlrarrow are
% already defined in amstex!
\def\lrarrowfill{$\m@th\mathord\leftarrow\mkern-6mu%
\cleaders\hbox{$\mkern-2mu\mathord-\mkern-2mu$}\hfill
\mkern-6mu\mathord\rightarrow$}
\def\overlrarrow#1{\vbox{\ialign{##\crcr
\lrarrowfill\crcr\noalign{\kern-\p@\nointerlineskip}
$\hfil\displaystyle{#1}\hfil$\crcr}}}
\def\Line#1{\!\overlrarrow{\vphantom{t}\smash{\,#1\,}}\!}
\def\Ray#1{\overrightarrow{\vphantom{t}#1\,}\!}
\def\Seg#1{\overline{\vphantom{t}#1}}
% ---- TEXT STYLES ----
\def\mathsc#1{\text{\textsc{#1}}}
\def\mathbs#1{\text{\boldmath\ensuremath{#1}}}
\def\EMPH#1{\textbf{\emph{\boldmath #1}}}
% ----------------------------------------------------------------------
% \begin{bigabstract}...\end{bigabstract}
% For use in documents with title pages. Use normal-sized text in
% the abstract!
% ----------------------------------------------------------------------
\newenvironment{bigabstract}%
{\begin{center}\large\textbf{\abstractname}\end{center}\begin{quotation}}%
{\end{quotation}}
% ----------------------------------------------------------------------
% Make captions smaller than the text, make their titles bold.
% Arguments: #1 == figure name: "Figure 5"
% #2 == caption: "Papers by \Erdos, 1900--2000 (projected)"
% Less space after floats and before caption, since captions are smaller
% ----------------------------------------------------------------------
\@ifundefined{abovecaptionskip}{\newlength\abovecaptionskip}
\long\def\@makecaption#1#2{
\vskip \abovecaptionskip
\setbox\@tempboxa\hbox{{\sffamily\footnotesize \textbf{#1.} #2}}
\ifdim \wd\@tempboxa >\hsize % if more than one line,
{\sffamily\footnotesize \textbf{#1.} #2\par} % typeset normally
\else % else
\hbox to\hsize{\hfil\box\@tempboxa\hfil} % center
\fi}
\dbltextfloatsep 18pt plus 2pt minus 4pt % was 20pt plus 2pt minus 4pt
\textfloatsep 18pt plus 2pt minus 4pt % was 20pt plus 2pt minus 4pt
\abovecaptionskip 6pt % was 10pt
% ----------------------------------------------------------------------
% Revised theorem environment:
% Add a period after the theorem number, and make theorems slanted
% instead of italic to help distinguish text from math. Use
% \boldmath in theorem label in case it includes math.
% ----------------------------------------------------------------------
\def\@opargbegintheorem#1#2#3{\trivlist
\item[\hskip\labelsep{\bfseries\boldmath #1\ #2\ (#3).}]\slshape}
\def\@begintheorem#1#2{\trivlist
\item[\hskip\labelsep{\bfseries\boldmath #1\ #2.}]\slshape}
% ----------------------------------------------------------------------
% \newproof{type}{text}(style)[post]:
% Define a new type of unnumbered ``theorem'' environment. The last
% two arguments are optional; most environments will not use them.
%
% To change label style, put new style command in label:
% \newproof{comment}{\textsf{Comment}}
% ----------------------------------------------------------------------
\def\newproof#1#2{\@ifnextchar({\@snproof{#1}{#2}}{\@snproof{#1}{#2}()}}
\def\@snproof#1#2(#3){\@ifnextchar[{\@xnproof{#1}{#2}{#3}}
{\@xnproof{#1}{#2}{#3}[]}}
\def\@xnproof#1#2#3[#4]{%\expandafter\@ifdefinable\csname #1\endcsname
{\global\@namedef{#1}{\@prf{#2}{#3}}\global\@namedef{end#1}{\@endprf{#4}}}}
\def\@prf#1#2{\@ifnextchar[{\@xprf{#1}{#2}}{\@yprf{#1}{#2}}}
\def\@xprf#1#2[#3]{\@yprf{#1\ (#3)}{#2}}
\def\@yprf#1#2{\begin{trivlist}\item[\hskip\labelsep{\bfseries\boldmath #1:}]#2}
\def\@endprf#1{#1\end{trivlist}}
%
% Standard proof envrionment: last line has a halmos at the right margin.
% Insert \qed to override default halmos placement.
% Incompatible with amsprf package!
%
\newif\ifneedqed
\global\needqedfalse
\@ifundefined{square}{\let\square\Box}{} % grumble latex2e
% \def\QED{\ensuremath{{\square}}}
\def\markatright#1{\leavevmode\unskip\nobreak\quad\hspace*{\fill}{#1}}
\def\qed{\ifneedqed\markatright{\ensuremath{{\square}}}\global\needqedfalse\else\null\fi}
\newproof{proof}{Proof\global\needqedtrue}[\qed]
\newproof{sketch}{Proof Sketch\global\needqedtrue}[\qed]
%
% 'Fake' proof environment, for use with wrapfig and similar packages
%
\newenvironment{rawproof}%
{\begin{trivlist}\item[\hskip\labelsep\textbf{Proof:}\global\needqedtrue]}%
{\qed\end{trivlist}}
%
% If the proof ends with a displayed equation, use \aftermath just
% before \end{proof} to put the halmos in the ``right'' place.
% Doesn't work worth a damn.
%
\def\aftermath{\par\vspace{-\belowdisplayskip}\vspace{-\parskip}\vspace{-\baselineskip}}
% ----------------------------------------------------------------------
% One-shot theoremish environment. For named things like ``Zorn's
% Lemma'' or ``The Death Leap Principle'' or ``The Zone Theorem''.
% To get one-shot proofish environment, put \normalfont inside.
% New improved version stolen from Erik Demaine.
% ----------------------------------------------------------------------
\newenvironment{oneshot}[1]{\@begintheorem{#1}{\unskip}}{\@endtheorem}
% Meh.
\def\Comment#1{\textsf{\textsl{$\langle\!\langle$#1\/$\rangle\!\rangle$}}}
\def\beginc@de{\noindent\begin{center}\begin{minipage}{1in}\tt
\begin{tabbing}~~~~\=~~~~\=~~~~\=~~~~\=~~~~\=~~~~\=~~~~\=\kill}
\def\endc@de{\end{tabbing}\end{minipage}\end{center}}
\newenvironment{code}{\beginc@de}{\endc@de}
%
% These only work with <1 line of text. Use sparingly!!
%
\def\textul#1{\underline{\smash{#1}\vphantom{.}}}
\def\strike#1{\ensuremath{\overline{\text{\smash{#1}\vphantom{.}}}}}
% ----------------------------------------------------------------------
% Include a file verbatim. Searches the TEXINPUTS path for the file,
% even though that's probably not what you really want. Stolen from
% ``verbatimfiles.sty'' by Chris Rowley and others. [Don't use their
% \vertbatimlisting macro; it has some bizarre side-effects!]
% ----------------------------------------------------------------------
\def\verbinput#1{
\begingroup\@verbatim\frenchspacing\@vobeyspaces\input#1\endgroup
}
% ----------------------------------------------------------------------
% \now -- Current time in h:mm AM/PM format
% \mdyy -- Today's date in m/d/yy format. Forget Y2K; this is for humans!
% ----------------------------------------------------------------------
\newcount\timehh\timehh=\time
\divide\timehh by 60
\newcount\timemm\timemm=\time
\count255=\timehh
\multiply\count255 by -60
\advance\timemm by \count255
\newif\iftimePM
\ifnum\timehh>11 \timePMtrue\else\timePMfalse\fi
\ifnum\timehh<1 \advance\timehh by 12\fi
\ifnum\timehh>12 \advance\timehh by -12\fi
\def\now{\number\timehh:\ifnum\timemm<10 0\fi\number\timemm
\iftimePM pm\else am\fi}
\newcount\mdYY\mdYY=\year
\count255=\year
\divide\count255 by 100
\multiply\count255 by 100
\advance\mdYY by -\count255
\def\mdyy{\number\month/\number\day/\ifnum\mdYY<10 0\fi\number\mdYY}
% ----------------------------------------------------------------------
% Notes to myself. The margin flags are broken, thanks to an
% incompatibility with the geometry package.
% ----------------------------------------------------------------------
\def\n@te#1{\textsf{\boldmath \textbf{$\langle\!\langle$#1$\rangle\!\rangle$}}\leavevmode}
\def\n@tew@rn{\GenericWarning{}{AUTHOR WARNING: Unresolved \protect\note}}
\def\n@ten@te#1{\marginpar
[\hfill\llap{\textcolor{red}{{#1}$\!\Longrightarrow$}}]
{\rlap{\textcolor{red}{$\Longleftarrow\!${#1}}}}}
% Warning: The textcomp and mathdesign packages are incompatible!
%\def\n@tedingb@t{\@ifundefined{textmusicalnote}
% {$\maltese$} % if you don't have textcomp
% {\textmusicalnote}} % if you do have textcomp
\def\n@tedingb@t{\textcircled{$\maltese$}}
\def\note#1{\textcolor{red}{\n@tew@rn\n@te{\n@ten@te{\n@tedingb@t}#1}}}
\def\sidenote#1{\marginpar{\tiny\textsf{#1}}}
\setlength{\marginparsep}{0.1in}
\setlength{\marginparwidth}{\paperwidth}
\addtolength{\marginparwidth}{-\oddsidemargin}
\addtolength{\marginparwidth}{-\textwidth}
\addtolength{\marginparwidth}{-1.0\marginparsep}
\addtolength{\marginparwidth}{-1.0in}
%----------------------------------------------------------------------
% TODO sets enclosed text in a gray rectangle with a red border
% with small sans-serif text.
%----------------------------------------------------------------------
\definecolor{TODOcolor}{cmyk}{0.05,0,0,0}
\definecolor{TODOtxtcolor}{cmyk}{0,1,1,0}
\newenvironment{TODO}
{\fboxrule1.5pt\begin{lrbox}{\@tempboxa}
\begin{minipage}{0.9\columnwidth}\small\sffamily\color{TODOtxtcolor}}
{\end{minipage}
\end{lrbox}
\medskip\centerline{\fcolorbox{TODOtxtcolor}{TODOcolor}{\usebox{\@tempboxa}}}
\sidenote{\LARGE\color{Red}$\bigstar\bigstar\bigstar$}\medskip}
%----------------------------------------------------------------------
% Bibliography aliases, so I can use mnemonic citation keys and
% geom.bib at the same time. \bibalias{foo}{bar} makes \cite{foo}
% act (almost) exactly like \cite{bar}. I don’t actually use this.
%----------------------------------------------------------------------
\def\bibalias#1#2{%
\global\@namedef{b@#1}{%
{\@ifundefined{b@#2}{\textsf{?}}{}\csname b@#2\endcsname}}}
% ----------------------------------------------------------------------
% Draft notice. Put \DRAFT on the title page, in place of \date.
% ----------------------------------------------------------------------
\def\draftnotice{Preliminary draft --- \mdyy\ --- Not for distribution}
\def\DRAFT{
\date{\fbox{\textsf{\textbf{\draftnotice}}}}
\def\@oddfoot{\footnotesize\hss\fbox{\textbf{\textsf{\draftnotice}}}\hss}
\let\@evenfoot\@oddfoot
}
%----------------------------------------------------------------------
% 'cramped' list style, stolen from Jeff Vitter. Doesn't always work.
%----------------------------------------------------------------------
\def\cramped
{\parskip\@outerparskip\@topsep\parskip\@topsepadd2pt\itemsep0pt
}
%----------------------------------------------------------------------
% More footnote symbols, please.
%----------------------------------------------------------------------
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or
\mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger
\or \ddagger\ddagger \or \mathsection\mathsection \or
\mathparagraph\mathparagraph \else\@ctrerr\fi}}
%----------------------------------------------------------------------
% TeXbook style quotations -- I should really use the right font, tho.
%----------------------------------------------------------------------
\newenvironment{rightquote}[1]
{\flushright\begin{minipage}{#1\textwidth}
\parskip0pt\footnotesize\sffamily\slshape}
{\end{minipage}\par\bigskip}
\def\quotee#1{\par\vspace{0.5ex}\begin{flushright}\unskip\textup{--- #1}\end{flushright}\unskip}
%----------------------------------------------------------------------
% Creative Commons license
%----------------------------------------------------------------------
\def\CCLicense#1{\vfill\vbox to 0pt{\centering\tiny\sffamily \textcopyright\ Copyright \number\year\ Chao Xu.\\ This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (\url{http://creativecommons.org/licenses/by-nc-sa/4.0/}).\\ Free distribution is strongly encouraged; commercial distribution is expressly forbidden.\quad See {#1} for the most recent revision.\vss}}