tongjiutils.sty

\ProvidesPackage{tongjiutils}[modified by WYQY]

% 原始模板定义
\newcommand{\china}{中华人民共和国} % 国家
\newcommand{\pozhehao}{\kern0.3ex\rule[0.8ex]{2em}{0.1ex}\kern0.3ex} % 破折号
\newcommand{\ffrac}[2]{\displaystyle\frac{#1}{#2}} % 更好的\frac{}{}, 在多级公式中更美观
% 表格: 定义三种新的column对齐格式, 允许使用L C R的带长度的表格列
\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}           
\newcolumntype{C}[1]{>{\centering\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
\newcolumntype{R}[1]{>{\raggedleft\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
% 表格内部强制换行
\newcommand{\tabincell}[2]{
\begin{tabular}{@{}#1@{}}#2\end{tabular}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  ALGO2E  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newlength{\commentWidth}
\setlength{\commentWidth}{5cm}
\newcommand{\tcpright}[1]{\tcp*[r]{\makebox[\commentWidth]{#1\hfill}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% TIKZ绘图 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usetikzlibrary{
  arrows.meta, quotes, fit,
  calc, positioning, backgrounds
}

\tikzset{
  meta box/.style = {
    draw, black, thick, fill = gray!20,
    minimum height = 1.5em, minimum width = 20em,
    text centered, text width = 20em,
    inner sep = .25em
  },
  roundrect node/.style = {
    meta box, rectangle, rounded corners = 2pt,
  },
  rect node/.style = {
    meta box, rectangle,
  },
  round node/.style = {
    meta box, circle,
  },
  every fit/.style = {
    draw, gray, thick, dashed,
    fill = gray!10, rounded corners,
    inner sep = .25em
  }
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Operator类符号 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% RedeclareMathOperator
\newcommand\RedeclareMathOperator{%
  \@ifstar{\def\rmo@s{m}\rmo@redeclare}{\def\rmo@s{o}\rmo@redeclare}%
}
% this is taken from \renew@command
\newcommand\rmo@redeclare[2]{%
  \begingroup \escapechar\m@ne\xdef\@gtempa{{\string#1}}\endgroup
  \expandafter\@ifundefined\@gtempa
     {\@latex@error{\noexpand#1undefined}\@ehc}%
     \relax
  \expandafter\rmo@declmathop\rmo@s{#1}{#2}}
% This is just \@declmathop without \@ifdefinable
\newcommand\rmo@declmathop[3]{%
  \DeclareRobustCommand{#2}{\qopname\newmcodes@#1{#3}}%
}
\@onlypreamble\RedeclareMathOperator

% general operator
% stat
% \DeclareMathOperator{\Pr}{Pr}
\DeclareMathOperator{\E}{E}
\DeclareMathOperator{\Var}{Var}
\DeclareMathOperator{\Cov}{Cov}
\DeclareMathOperator{\Corr}{Corr}
% little
\RedeclareMathOperator*{\max}{max}
\RedeclareMathOperator*{\min}{min}
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator{\supp}{supp}
\DeclareMathOperator{\vect}{vec}
\DeclareMathOperator{\row}{row}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\rank}{rank}
\DeclareMathOperator{\svd}{svd}
\DeclareMathOperator{\fft}{fft}
\DeclareMathOperator{\atantwo}{atan2}
% capital
\DeclareMathOperator{\ROOTS}{ROOTS}
\DeclareMathOperator{\ROC}{ROC}
\DeclareMathOperator{\IDFT}{IDFT}
\DeclareMathOperator{\DFT}{DFT}
\DeclareMathOperator{\IFFT}{IFFT}
\DeclareMathOperator{\FFT}{FFT}
\DeclareMathOperator{\RESHAPE}{RESHAPE}
\DeclareMathOperator{\PAGEMTIMES}{PAGEMTIMES}

% paired operator for both dynamic (no star) and static mode (star)
% refer to: https://tex.stackexchange.com/questions/43008/absolute-value-symbols
\DeclarePairedDelimiter\abs{\lvert}{\rvert}
\DeclarePairedDelimiter\norm{\lVert}{\rVert}
\DeclarePairedDelimiter\ceil{\lceil}{\rceil} % alternative: \lfloor {#1}+1
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}
\DeclarePairedDelimiterX\inprod[2]{\langle}{\rangle}{{#1},{#2}}
\let\oldabs\abs \def\abs{\@ifstar{\oldabs}{\oldabs*}}
\let\oldnorm\norm \def\norm{\@ifstar{\oldnorm}{\oldnorm*}}
\let\oldceil\ceil \def\ceil{\@ifstar{\oldceil}{\oldceil*}}
\let\oldfloor\floor \def\floor{\@ifstar{\oldfloor}{\oldfloor*}}
\let\oldinprod\inprod \def\inprod{\@ifstar{\oldinprod}{\oldinprod*}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Command, Def类符号 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% bold Greek letters
% refer to: https://tex.stackexchange.com/questions/383324/bold-checkmark/383798#383798
\newcommand{\boldgreek}[1]{%
  \special{pdf:literal 2 Tr}% 设置文本渲染模式为描边和填充
  \special{pdf:literal 0.35 w}% 设置描边宽度
  \special{pdf:literal 0 0 0 RG}% 设置描边颜色为黑色
  \special{pdf:literal 0 0 0 RG}% 设置填充颜色为黑色
  #1%
  \special{pdf:literal 0 Tr}% 恢复文本渲染模式
}
% matrix
\newcommand{\mat}[1]{
  \ifcat\noexpand#1\relax {{\boldgreek{#1}}} 
  \else {{\mathbf{#1}}} \fi
}
\renewcommand{\vec}[1]{
  \ifcat\noexpand#1\relax {{\boldgreek{#1}}} 
  \else {{\boldsymbol{#1}}} \fi
}
% probability
\newcommand{\widesim}[2][1.5]{
  \mathrel{\overset{#2}{\scalebox{#1}[1]{$\sim$}}}
} % \widesim[2]{SS}

% symbol
\def\im{{\mathcal{j}}} \def\e{{\mathcal{e}}}
\def\K{{\mathbb{K}}} % self-defined field
\def\Z{{\mathbb{Z}}} \def\Q{{\mathbb{Q}}}
\def\R{{\mathbb{R}}} \def\C{{\mathbb{C}}}
\def\U{{\mathbb{U}}} % unit circle on \C
% analysis
\def\d{{\mathrm{d}\,}} \def\dint{{\,\mathrm{d}}}
\def\Fc{{\mathbcal{F}}} \def\Fd{{\mathfrak{F}}} % Fourier
\def\Hc{{\mathbcal{H}}} \def\Hd{{\mathfrak{H}}} % Hilbert
\def\Lu{{\mathcal{L}}} \def\Lb{{\mathfrak{L}}} % Laplace
% matrix
\def\tr{^{\mathrm{T}}} \def\ct{^{\mathrm{H}}}
\newcommand{\oproj}[3]{{{#1} \; \diagup \; {#2} \; ({#3})}}
% space
\def\dual{^{\ast}}
\def\spaceba{{\mathbcal{ba}}}
\def\spaceC{{\mathbcal{C}}}
\def\spaceL{{\mathbcal{L}}} \def\spacel{{\mathbcal{l}}}
\def\spaceH{{\mathbcal{H}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 符号表示 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% scripts
\def\sps[#1]{^{\mathrm{#1}}} % 上标
\def\cps[#1]{{\mathrm{#1}}} % 快速正体
\def\ups[#1]{_{\mathrm{#1}}} % 下标
% indices
% general usage:
\def\inda{{a}} \def\indb{{b}} \def\indc{{c}} % no \d
\def\indi{{i}} \def\indj{{j}}
\def\indk{{k}} \def\indl{{\mathcal{l}}}
\def\indm{{m}} \def\indn{{n}} 
\def\indq{{q}} \def\indr{{r}} \def\inds{{s}} % no \p
% special usage:
\def\enumk{{\mathscr{k}}} \def\enuml{{\mathscr{l}}}
\def\enump{{\mathscr{p}}}

% sets
\def\setT{{\mathbb{T}}} % sampling moment set
\def\setS{{\mathbb{S}}} % sampled data set
\def\setF{{\mathbb{F}}} % used frequency set

% specified operator
\DeclareMathOperator{\kerf}{{\mathcal{f}}}
\DeclareMathOperator{\kerk}{{\mathcal{k}}}
\DeclareMathOperator{\kerg}{{\mathcal{g}}}
\DeclareMathOperator{\kert}{{\mathcal{t}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 毛子符号 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% cyrillic operator
% refer to: https://tex.stackexchange.com/questions/14633/what-packages-will-let-me-use-cyrillic-characters-in-math-mode
\iftongji@cyrillic{%
  \DeclareSymbolFont{cyrillicnormal}{T2A}{cmr}{m}{n}
  \DeclareSymbolFont{cyrillicitalic}{T2A}{cmr}{m}{it}
  % #1 for explicit name, #2 for internal name
  \def\makecynormalsymbol#1#2{% 
    \begingroup\edef\temp{\endgroup
      \noexpand\DeclareMathSymbol{\noexpand#1}
      {\noexpand\mathalpha}{cyrillicnormal} % normal shape
      {\expandafter\expandafter\expandafter
      \calccyr\expandafter\meaning\csname T2A\string#2\endcsname\end}} % different size
  \temp}
  \def\makecyitalicsymbol#1#2{%
    \begingroup\edef\temp{\endgroup
      \noexpand\DeclareMathSymbol{\noexpand#1}
      {\noexpand\mathalpha}{cyrillicitalic} % normal shape
      {\expandafter\expandafter\expandafter
      \calccyr\expandafter\meaning\csname T2A\string#2\endcsname\end}} % different size
  \temp}
  \expandafter\def\expandafter\calccyr\string\char#1\end{#1}
  % d.i.y. cyrillic symbols in math mode
  % capital
  \makecyitalicsymbol\itCyB\CYRB
  \makecyitalicsymbol\itCyG\CYRG
  \makecyitalicsymbol\itCyI\CYRI
  \makecynormalsymbol\rmCyI\CYRI
  \makecyitalicsymbol\rmCyEl\CYRL
  \makecyitalicsymbol\rmCySha\CYRSH
  % little
  \makecyitalicsymbol\itCyb\cyrb
  \makecyitalicsymbol\itCyg\cyrg
  \makecyitalicsymbol\itCyyu\cyryu
  \makecyitalicsymbol\itCyze\cyrz
}\fi


\endinput