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+%This Class is based on the default book class and options will be passed
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesClass{Beautybook-EN}[17-06-2023 Beautybook Class]
+\DeclareOption*{\PassOptionsToClass{\CurrentOption}{book}}
+\ProcessOptions\relax
+\LoadClass[twoside]{book}
+\overfullrule=1pt
+\RequirePackage[fontsize=13.5pt]{fontsize}
+\linespread{1.05}
+\RequirePackage[dvipsnames,svgnames,x11names,table]{xcolor}
+\colorlet{outermarginfgcolor}{DarkCyan} % foregroundcolor
+\colorlet{outermarginbgcolor}{DarkCyan!30} % backgroundcolor
+\RequirePackage{cncolours}
+\RequirePackage{bropd}
+\RequirePackage{tikz-imagelabels}
+\RequirePackage{epigraph-keys}
+\RequirePackage{fitbox}
+\RequirePackage{pgfornament-han}
+\RequirePackage{tikz}
+\usetikzlibrary{calc,shadows,hobby,intersections, decorations.markings, decorations.pathreplacing,spy,arrows,shapes,fadings,trees,mindmap,patterns,shapes.arrows,shapes.symbols,tikzmark,shapes.geometric,graphs, quotes, angles,decorations.pathmorphing,through,shadings,backgrounds,positioning,fit,arrows.meta,shapes.misc,decorations.shapes}
+\RequirePackage{pgfplots}
+\pgfplotsset{compat=1.18}
+%
+\ExplSyntaxOn
+\keys_define:nn {Beautybook/coverstyle}
+ {
+ cover-choose.choice:,
+ cover-choose.value_required:n = true,
+ cover-choose/cn.code:n = {\RequirePackage{stys/Beautybook-cn}},
+ cover-choose/en.code:n = {\RequirePackage{stys/Beautybook-en}},
+ cover-choose/enfig.code:n = {\RequirePackage{stys/Beautybook-enfig}},
+ cover-choose/birkar.code:n = {\RequirePackage{stys/Beautybook-birkar}},
+ %cover-choose .initial:n = en ,
+ }
+\newtoks \l__Beautybook_tmpa_toks
+\cs_new_protected:Npn \coverstyle
+ {
+ \tex_afterassignment:D \__Beautybook_set_coverstyle:
+ \l__Beautybook_tmpa_toks
+ }
+\cs_new:Npn \__Beautybook_set_coverstyle:
+ { \keys_set:nV { Beautybook / coverstyle } \l__Beautybook_tmpa_toks }
+% Math fonts
+\keys_define:nn {Beautybook/mathstyle}
+ {
+ math-font.choice:,
+ math-font.value_required:n = true,
+ math-font/plain.code:n={},
+ math-font/mtpro2.code:n = {
+ \RequirePackage{mtpro2}
+ \DeclareFontFamily{U}{nxlmi}{}
+ \DeclareFontSubstitution{U}{nxlmi}{m}{it}
+ \DeclareFontShape{U}{nxlmi}{m}{it}{
+ <-6.3> nxlmi05
+ <6.3-8.6> nxlmi07
+ <8.6-> nxlmi0
+ }{}
+
+ \DeclareFontShape{U}{nxlmi}{b}{it}{
+ <-6.3> nxlbmi05
+ <6.3-8.6> nxlbmi07
+ <8.6-> nxlbmi0
+ }{}
+ \renewcommand{\partial}{{\text{\usefont{U}{nxlmi}{m}{it}\symbol{64}}\mspace{1mu}}}
+ },
+ %cover-choose .initial:n = plain ,
+ }
+\cs_new_protected:Npn \mathstyle
+ {
+ \tex_afterassignment:D \__Beautybook_set_mathstyle:
+ \l__Beautybook_tmpa_toks
+ }
+\cs_new:Npn \__Beautybook_set_mathstyle:
+ { \keys_set:nV { Beautybook / mathstyle } \l__Beautybook_tmpa_toks }
+\ExplSyntaxOff
+%
+\RequirePackage{stys/Beautybook-bottompage}
+%
+\RequirePackage{amssymb,amsfonts}
+\RequirePackage{makeidx}
+\RequirePackage{etoolbox}
+\RequirePackage{paracol}
+\RequirePackage{tikz-cd}
+\RequirePackage{imakeidx}
+\RequirePackage{anyfontsize}
+\RequirePackage{calc}
+\RequirePackage{xkeyval,ifthen}
+\RequirePackage[backgroundcolor=yellow!40!cyan!20,bordercolor=yellow!40!cyan!20,linecolor=DarkCyan]{todonotes}
+\RequirePackage{varwidth}
+\RequirePackage[colorlinks,linkcolor = purple,
+anchorcolor = purple,
+urlcolor = purple,
+citecolor = purple,
+]{hyperref}
+\setcounter{tocdepth}{3}
+\setcounter{secnumdepth}{3}
+\RequirePackage{dashrule}
+\newlength\outermarginwidth
+\setlength\outermarginwidth{1.5cm}
+\newlength\covershift
+\setlength\covershift{5cm}
+\RequirePackage{caption}
+\colorlet{captioncolor}{outermarginfgcolor}
+\makeatletter
+\newcommand\bookseries[1]{\def\@bookseries{#1}}
+\newcommand\subtitle[1]{\def\@subtitle{#1}}
+\newcommand\edition[1]{\def\@edition{#1}}
+\newcommand\presslogo[1]{\def\@presslogo{#1}}
+\newcommand\pressname[1]{\def\@pressname{#1}}
+\newcommand\coverimage[1]{\def\@coverimage{#1}}
+\makeatother
+\RequirePackage{indentfirst}
+\RequirePackage{physics}
+\definecolor{nuanbai}{HTML}{f5f5f5} % F5F5F5
+\pagecolor{nuanbai}
+\RequirePackage{amsmath}
+\RequirePackage{zhlipsum}
+\RequirePackage{stix}
+\RequirePackage[left=2cm,right=2cm,top=.6cm,bottom=2.2cm]{geometry}
+\RequirePackage{xpatch}%修正章节编号
+\RequirePackage[automark]{scrlayer-scrpage}%页面设置宏包,隶属于koma-script文档类
+\RequirePackage{fontawesome5}
+\RequirePackage{mathrsfs}
+\RequirePackage[most]{tcolorbox}
+\tcbuselibrary{breakable, skins,theorems}%TcolorBox Library
+\RequirePackage{tabularx}
+\RequirePackage{lastpage}
+%\RequirePackage{twemojis}
+\RequirePackage{ninecolors}
+\RequirePackage{colortbl} %彩色表格
+\RequirePackage{tabularray}
+\UseTblrLibrary{amsmath}
+% 定义 +array, +matrix, +bmatrix, +Bmatrix, +pmatrix, +vmatrix, +Vmatrix 和 +cases 环境。其
+% 中，每一个环境都类似于不带 + 前缀的环境，但是就像 tblr 环境一样，使用 rowsep=2pt 默认值。
+% 除了+array 环境外，其余的每个环境都可以带一个可选项，通过该可选项，可能为环境设置内部
+% 参数。
+\UseTblrLibrary{booktabs} % 定义 \toprule、 \midrule、\bottomrule 和 \cmidrule 命令，这些命令可以直接用于 tblr环境中
+\UseTblrLibrary{diagbox} % 在tblr 环境中使用 \diagbox 和\diagboxthree 命令排版斜线表头
+\UseTblrLibrary{varwidth} % 为表格添加 measure 内部参数。当设置了 measure=vbox 后，则会使用 \vbox 测量单元格宽度。%可以使用stretch=-1 移除列表环境上下的间距, 注意，stretch=-1 选项也会移除单元格中的支架
+\RequirePackage{pgfornament}
+\RequirePackage{zhnumber}
+\RequirePackage{dashrule}
+\RequirePackage{adjustbox}
+\RequirePackage{enumitem}
+\RequirePackage{multicol}
+\RequirePackage{amsthm}
+\RequirePackage{thmtools,thm-restate}%定理环境 %定理的重写
+\RequirePackage{bclogo}
+\RequirePackage{ulem}
+\RequirePackage{pgfplots} %画图 %%页面样式设计核心包 %提供\pgfonlayer命令以及下列图层指令
+\pgfplotsset{compat=1.18}
+\RequirePackage{graphicx}%修正minipage顶部对齐问题
+\pgfdeclarelayer{background} %背景%底层
+\pgfdeclarelayer{foreground} %上层
+\pgfdeclarelayer{top} %顶部
+\pgfdeclarelayer{bottom} %底部
+\pgfsetlayers{bottom,background,main,foreground,top}
+\newcommand{\tikzoverlay}[1]{\begin{tikzpicture}[remember picture,overlay] #1 \end{tikzpicture}}
+\RequirePackage[explicit]{titlesec}
+% tcolorbox中插入图片或者tikz绘图方法
+\newcommand\Figure[4]{%
+ \begin{center}
+ \captionsetup{type=figure} %消除 Package caption Warning: The option `hypcap=true' will be ignored for this
+%(caption) particular \caption on input line XX.警告信息
+ \includegraphics[#1]{#2}
+ \captionof{figure}{#3}\label{#4}
+ \end{center}
+}%用法 : 用于tcolorbox中插入图片
+\newcommand\Tikz[3]{%
+ \begin{center}
+ \captionsetup{type=figure} %消除 Package caption Warning: The option `hypcap=true' will be ignored for this(caption) particular \caption on input line XX.警告信息
+ #3 %最后一个参数为Tikz画图代码窗口
+ \captionof{figure}{#1}\label{#2} %第一与第二个参数是Tikz画图的名称与标签
+ \end{center}
+} %用法 : 用于tcolorbox中插入Tikz绘图
+%特殊注释矩阵
+\newcommand\coolover[2]{\mathrlap{\smash{\overbrace{\phantom{%
+ \begin{matrix} #2 \end{matrix}}}^{\mbox{$#1$}}}}#2}
+
+\newcommand\coolunder[2]{\mathrlap{\smash{\underbrace{\phantom{%
+ \begin{matrix} #2 \end{matrix}}}_{\mbox{$#1$}}}}#2}
+
+\newcommand\coolleftbrace[2]{%
+ #1\left\{\vphantom{\begin{matrix} #2 \end{matrix}}\right.}
+
+\newcommand\coolrightbrace[2]{%
+ \left.\vphantom{\begin{matrix} #1 \end{matrix}}\right\}#2}
+\definecolor{lightergray}{gray}{0.99}
+
+\newcommand*{\circled}[1]{\lower.7ex\hbox{\tikz\draw (0pt, 0pt)%
+ circle (.5em) node {\makebox[1em][c]{\small #1}};}}
+\newcommand{\twicecircle}{\raisebox{.7ex}{
+ \begin{tikzpicture}[remember picture,overlay]
+ \draw[line width=0.6pt,black!60] (0,0) circle (3pt);
+ \fill[black] (0,0) circle (1.6pt) ;
+ \end{tikzpicture}}
+}
+\newcommand{\exercise}[2][\bcicosaedre]{\bigskip
+\begin{tikzpicture}[remember picture,overlay]
+\draw[line width=2pt,loosely dotted,teal] (0,0)--node[pos=0.4,rectangle,minimum height=1.5em,font=\sffamily\Large,text=black,fill=black!2,drop shadow={opacity=.3, shadow xshift=0.1cm},anchor=center,
+ inner sep=1.5mm,
+ anchor=west,] {$#1$ ~ #2} (\linewidth,0);
+\end{tikzpicture}\bigskip\smallskip
+}
+\RequirePackage{extarrows}
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\F}{\mathcal{F}}
+\newcommand{\lan}[1]{\langle #1 \rangle}
+\newenvironment{eq}[1]{\begin{equation}\begin{aligned}#1}{\end{aligned}\end{equation}} %有编号
+\newenvironment{eq*}[1]{\begin{equation*}\begin{aligned}#1}{\end{aligned}\end{equation*}} %无编号
+% \everymath{\displaystyle}
+
+%% -------- 章节样式
+\titleformat{\chapter}{\huge\bfseries\filcenter}{}{1em}{
+ \makebox[0pt][l]{\def\rad{7pt}%
+ \begin{tikzpicture}[remember picture, overlay]%
+ \begin{pgfonlayer}{bottom}
+ \shade[left color=outermarginbgcolor!20,middle color=outermarginbgcolor!50,right color=outermarginfgcolor!20] (current page.north west) rectangle ++(\paperwidth,-.2\paperheight); % background
+ \fill[outermarginfgcolor,opacity=.5]([shift={(0,-4.45cm)}]current page.north west) rectangle ++(\paperwidth,-2mm); % line
+ \end{pgfonlayer}
+ \path[fill=outermarginfgcolor]node[append after command={
+ ([xshift=-3*\rad]chapinfoofpart.north west) to[out=0,in=-180,looseness=1] ([xshift=\rad]chapinfoofpart.south west) --([xshift=-\rad]chapinfoofpart.south east) to[out=0,in=180,looseness=1] ([xshift=3*\rad]chapinfoofpart.north east) --cycle},
+ text=white,font=\large\bfseries,align=center,minimum height=1cm] (chapinfoofpart) at ([shift={(.6\linewidth,-4.95cm)}]current page.north west) {Part\ \thepart};
+ \begin{pgfonlayer}{bottom}
+ \fill[outermarginfgcolor!90,opacity=0.5] ([shift={(-3*\rad,0)}]chapinfoofpart.north west) to[out=180,in=0,looseness=1] +(-4*\rad,-1.2cm)--([shift={(7*\rad,-1.2cm)}]chapinfoofpart.north east) to[out=-180,in=0,looseness=1] +(-4*\rad,1.2cm); % partnumber shade
+ \end{pgfonlayer}
+ \ifodd\value{page}
+ \begin{pgfonlayer}{top}
+ \fill[outermarginfgcolor,opacity=0.8,rounded corners=5pt]node[append after command={([yshift=2cm]chapnum.north west) rectangle (chapnum.south east)},right,text=white,minimum width=2cm,align=center,font=\bf] (chapnum) at ([shift={(2cm,-2.5cm)}]current page.north west) {\scalebox{3}{\thechapter}};
+ % \pattern[pattern=sixpointed stars,pattern color=outermarginfgcolor!50,opacity=0.8]
+ % ([yshift=2cm]chapnum.north west) rectangle (chapnum.south east);
+ \fill [outermarginfgcolor,path fading=fade up,rounded corners=5pt]%
+ ([yshift=2cm]chapnum.north west) rectangle (chapnum.south east);
+ \node[above left,font=\fontsize{25}{25}\selectfont\bfseries,align=center] (contents name) at ([shift={(0cm,-4.45cm)}]current page.north east) {\begin{varwidth}{.7\linewidth}\baselineskip=2.3ex #1\end{varwidth}};
+ \end{pgfonlayer}
+ \begin{pgfonlayer}{bottom}
+ \node[right] (image) at ([shift={(-0.5cm,-2.8cm)}]current page.north west) {\includegraphics[width=7cm]{inner_pics/song2.png}};
+ \end{pgfonlayer}
+ \node[above left,font=\fontsize{15}{15}\selectfont,circle,fill=outermarginfgcolor,text=white,inner sep=1mm] (pagenumber) at ([shift={(-5mm,5mm)}]current page.south east) {\thepage};
+ \else
+ \begin{pgfonlayer}{top}
+ \fill[outermarginfgcolor,opacity=0.8,rounded corners=5pt]node[append after command={([yshift=2cm]chapnum.north west) rectangle (chapnum.south east)},left,text=white,minimum width=2cm,align=center,font=\bf] (chapnum) at ([shift={(-2.0cm,-2.5cm)}]current page.north east) {\scalebox{3}{\thechapter}};
+ % \pattern[pattern=sixpointed stars,pattern color=outermarginfgcolor!50,opacity=0.8]
+ % ([yshift=2cm]chapnum.north west) rectangle (chapnum.south east);
+ \fill [outermarginfgcolor,path fading=fade up,rounded corners=5pt]%
+ ([yshift=2cm]chapnum.north west) rectangle (chapnum.south east);
+ \node[above right,font=\fontsize{25}{25}\selectfont\bfseries,align=center] (contents name) at ([shift={(0cm,-4.45cm)}]current page.north west) {\begin{varwidth}{.7\linewidth}\baselineskip=2.3ex #1\end{varwidth}};
+ \end{pgfonlayer}
+ \begin{pgfonlayer}{bottom}
+ \node[left] (image) at ([shift={(0.5cm,-2.8cm)}]current page.north east) {\includegraphics[width=7cm]{inner_pics/song.png}};
+ \end{pgfonlayer}
+ \node[above right,font=\fontsize{15}{15}\selectfont,circle,fill=outermarginfgcolor,text=white,inner sep=1mm] (pagenumber) at ([shift={(5mm,5mm)}]current page.south west) {\thepage};
+ \fi
+ \fill[outermarginfgcolor,rounded corners=2pt]
+ (current page.south west) -- ++(1.5mm,1.5mm) --++(\paperwidth-3mm,0mm)--++(1.5mm,-1.5mm)--cycle;
+ \end{tikzpicture}}
+ }
+\titleformat{name=\chapter,numberless}{\bfseries\huge\filcenter}{}{1em}{
+ \begin{tikzpicture}[remember picture, overlay]%
+ \begin{pgfonlayer}{bottom}
+ \shade[left color=outermarginbgcolor!10,middle color=outermarginbgcolor!50,right color=outermarginfgcolor!20] (current page.north west) rectangle ++(\paperwidth,-.2\paperheight);
+ \fill[outermarginfgcolor,opacity=.5]([shift={(0,-4.25cm)}]current page.north west) rectangle ++(\paperwidth,-2mm);
+ \end{pgfonlayer}
+ \node[left,font=\huge\bfseries] (contents name) at ([shift={(0cm,-3cm)}]current page.north east) {\begin{varwidth}{.9\linewidth}\baselineskip=2.6ex #1\end{varwidth}};
+ \begin{pgfonlayer}{background}
+ \node[right] (image) at ([shift={(0,-2.2cm)}]current page.north west) {\includegraphics[width=3cm,angle =45]{inner_pics/flower.png}};
+ \end{pgfonlayer}
+ \end{tikzpicture}
+}
+\titlespacing{\chapter}{0pt}{0pt}{65pt}
+% -------- Part定制
+\makeatletter
+\newcommand\partabstract[1]{\def\@partabstract{#1}}
+\newcommand\partimage[1]{\def\@partimage{#1}}
+\titleformat{\part}
+{\normalfont\huge\filcenter}
+{}
+{20pt}
+{\begin{tikzpicture}[remember picture,overlay]
+ \def\barwidth{2cm}
+ \fill[outermarginbgcolor,opacity=0.6]
+ (current page.north west) rectangle (current page.south east);
+ \ifodd\value{page}
+ \fill[outermarginfgcolor]
+ (current page.north east) rectangle ++(-\barwidth,-\paperheight);
+ \node[] (hbar) at ($(current page.north)!0.33!(current page.south)$) {
+ \begin{tikzpicture}
+ \fill[white]
+ (0,0) rectangle ++(\paperwidth,-1cm);
+ \fill[outermarginbgcolor]
+ (0,-.25cm) rectangle ++(\paperwidth,-.5cm);
+ \fill[outermarginfgcolor]
+ (.67\paperwidth,-.25cm) rectangle ++(4.5cm,-.5cm);
+ \fill[outermarginfgcolor!20!white]
+ (.67\paperwidth-1mm,-.25cm) rectangle ++(1mm,-.5cm);
+ \fill[outermarginfgcolor!20!white]
+ (.67\paperwidth+4.4cm,-.25cm) rectangle ++(1mm,-.5cm);
+ \end{tikzpicture}
+ };
+ \node[above,font=\huge,shift={(.33\linewidth,.5\barwidth)}] (partname) at (hbar) {Part\ \thepart};
+ \node[below,left,font=\sffamily\bfseries\huge,shift={(.146\linewidth,-1.5*\barwidth)}] (partcontents) at (partname) {\begin{varwidth}{.8\linewidth}\raggedright\baselineskip=2ex #1 \end{varwidth}}; % 标题名称
+ \begin{pgfonlayer}{background}
+ \node[above,shift={(-.4\linewidth,-4*\barwidth)},opacity=0.8] at (partname) {\ifdefvoid{\@partimage}{}{\includegraphics[width=1.2\linewidth]{\@partimage}}}; % 图片位置调整
+ \end{pgfonlayer}
+ \node[above right,font=\fontsize{15}{15}\selectfont,circle,fill=outermarginfgcolor,text=white,inner sep=1mm] (pagenumber) at ([shift={(5mm,5mm)}]current page.south west) {\thepage};
+ \else
+ \fill[outermarginfgcolor]
+ (current page.north west) rectangle ++(\barwidth,-\paperheight);
+ \node[] (hbar) at ($(current page.north)!0.33!(current page.south)$) {
+ \begin{tikzpicture}
+ \fill[white]
+ (0,0) rectangle ++(\paperwidth,-1cm);
+ \fill[outermarginbgcolor]
+ (0,-.25cm) rectangle ++(\paperwidth,-.5cm);
+ \fill[outermarginfgcolor]
+ (.15\paperwidth,-.25cm) rectangle ++(4.5cm,-.5cm);
+ \fill[outermarginfgcolor!20!white]
+ (.15\paperwidth-1mm,-.25cm) rectangle ++(1mm,-.5cm);
+ \fill[outermarginfgcolor!20!white]
+ (.15\paperwidth+4.5cm,-.25cm) rectangle ++(1mm,-.5cm);
+ \end{tikzpicture}
+ };
+ \node[above,font=\huge,shift={(-.31\linewidth,.5\barwidth)}] (partname) at (hbar) {Part\ \thepart};
+ \node[below right,font=\sffamily\bfseries\huge,shift={(-.125\linewidth,-1.2*\barwidth)}] (partcontents) at (partname) {\begin{varwidth}{.8\linewidth}\raggedright\baselineskip=2ex #1 \end{varwidth}}; % 标题名称
+ \begin{pgfonlayer}{background}
+ \node[above,shift={(.4\linewidth,-4*\barwidth)},opacity=0.8] at (partname) {\ifdefvoid{\@partimage}{}{\includegraphics[width=1.2\linewidth]{\@partimage}}}; % 图片位置调整
+ \end{pgfonlayer}
+ \node[above left,font=\fontsize{15}{15}\selectfont,circle,fill=outermarginfgcolor,text=white,inner sep=1mm] (pagenumber) at ([shift={(-5mm,5mm)}]current page.south east) {\thepage};
+ \fi
+ \node[below,,font=\sffamily\fontsize{13}{13}\selectfont,shift={(0\linewidth,-1.65*\barwidth)}] at (hbar) {\ifdefvoid{\@partabstract}{}{\begin{varwidth}{.85\linewidth}\baselineskip=3ex \@partabstract\end{varwidth}}}; % 简介文字调整
+ \end{tikzpicture}}
+\makeatother
+\assignpagestyle{\part}{empty}
+\assignpagestyle{\chapter}{empty}
+%% -- Section
+\titleformat{\section}
+{}
+{}
+{-.5em} %左右移动\thesection标签位置
+{\mysectionformat{#1}}
+
+\newcommand{\mysectionformat}[1]{%
+\makebox[0pt][l]{\def\rad{7pt}%
+\begin{tikzpicture}[remember picture]
+ \path[fill=outermarginfgcolor,drop shadow={opacity=0.3,shadow xshift=.05cm,shadow yshift=-.05cm}]node[append after command={
+ ([xshift=\rad]sec.north west) to[out=180,in=0,looseness=1] ([xshift=-3*\rad]sec.south west) --([xshift=-\rad]sec.south east) to[out=0,in=180,looseness=1] ([xshift=3*\rad]sec.north east) --cycle},
+ text=white,font=\rmfamily\large\bfseries,align=center,inner ysep=2mm] (sec) at (0,0) {Sec\ \thesection};
+ \draw[outermarginbgcolor,line width=0.5pt] (sec.north east)--++(.8\linewidth,0);
+ \node[text=black,font=\rmfamily\bfseries\Large,below right] (secnum) at ([shift={(0,0mm)}]sec.north east) {\begin{varwidth}{.85\linewidth}\setlength\baselineskip{22.5pt}\hspace{.5cm}#1\end{varwidth}};
+\end{tikzpicture}}}%最后一个选项为 [<after code>]
+\titlespacing*{\section}{0pt}{3.5ex plus 1ex minus .2ex}{2.3ex plus .2ex}
+% 侧边条
+\newlength\chapternumbersize
+\setlength\chapternumbersize{40pt}
+\setlength{\headheight}{40pt} % 页眉高度
+\RequirePackage{xpatch}
+\RequirePackage{scrlayer-scrpage}
+\renewcommand\chaptermarkformat{}
+% define a new mark for the chapter number
+\newmarks\chapternum
+\xapptocmd\chaptermark{\marks\chapternum{\thechapter}}{}{\PatchFailed}
+\newmarks\secnum
+\xapptocmd\sectionmark{\marks\secnum{\thesection}}{}{\PatchFailed}
+
+\newcommand*\outermarginpagemark{%
+\tikzoverlay{
+ \begin{pgfonlayer}{top}
+ \ifodd\value{page}
+ \fill[outermarginfgcolor,rounded corners=2pt] (current page.north east) --++(-5pt,-0.15cm)--++(-\outermarginwidth+10pt,0) --++(-5pt,0.15cm)--cycle;
+ \coordinate (anchor of headmark) at ([shift={(-1.2\outermarginwidth,-0.2cm)}]current page.north east);
+ \node[below ,text=outermarginfgcolor,font=\bfseries\fontsize{20}{20}\selectfont] at ([shift={(-.5\outermarginwidth,-0.2cm)}]current page.north east) {\thepage};
+ \node[below left,font=\upshape,text=outermarginfgcolor] at (anchor of headmark) {\begin{varwidth}{\linewidth}\rightmark\end{varwidth}};
+ \fill[outermarginfgcolor,rounded corners=2pt] (current page.south east) --++(-5pt,0.15cm)--++(-\outermarginwidth+10pt,0) --++(-5pt,-0.15cm)--cycle;
+ \else
+ \fill[outermarginfgcolor,rounded corners=2pt] (current page.north west) --++(5pt,-0.15cm)--++(\outermarginwidth-10pt,0) --++(5pt,0.15cm)--cycle;
+ \coordinate (anchor of headmark) at ([shift={(1.2\outermarginwidth,-0.2cm)}]current page.north west);
+ \node[below ,text=outermarginfgcolor,font=\bfseries\fontsize{20}{20}\selectfont] at ([shift={(.5\outermarginwidth,-0.2cm)}]current page.north west) {\thepage};
+ \node[below right,font=\upshape,text=outermarginfgcolor] at (anchor of headmark) {\begin{varwidth}{\linewidth}\rightmark\end{varwidth}};
+ \fill[outermarginfgcolor,rounded corners=2pt] (current page.south west) --++(5pt,0.15cm)--++(\outermarginwidth-10pt,0) --++(5pt,-0.15cm)--cycle;
+ \fi
+ \end{pgfonlayer}}
+}
+\newlength\baryshift
+\setlength\baryshift{-2.5\outermarginwidth}
+\makeatletter
+% Add A Side-Bar Box For The Chapter Number
+\newcommand*\outermarginchapternumberbox{%
+ \if@mainmatter
+ \tikzoverlay{
+ \shade[top color=outermarginfgcolor!90,bottom color=outermarginbgcolor]
+ (\outermarginwidth,-.5\outermarginwidth) rectangle (0,-1.5\outermarginwidth);
+ \node[anchor=center,text=white,font=\bfseries] at (1/2*\outermarginwidth,-\outermarginwidth) {\usekomafont{chapternumber}{\botmarks\chapternum}};%
+ }
+ \fi
+ \vfill
+}
+\makeatother
+
+\newkomafont{chapternumber}{%页边章节编号字体
+ \fontsize{\chapternumbersize}{\chapternumbersize}\selectfont
+}%
+\makeatletter
+\newcommand\outermarginmark{
+ \ifodd\value{page}\hfill\else\hspace*{\dimexpr\outermarginwidth*3/8\relax}\fi
+ \rotatebox{90}{\parbox{\layerheight}{
+ \raggedleft
+ \usekomafont{outermargin}{%
+ \MakeMarkcase{\ifodd\value{page}\odd@outermargin\else\even@outermargin\fi}}%
+ }}%
+ \ifodd\value{page}\hspace*{\dimexpr\outermarginwidth*3/8\relax}\fi%
+}
+\newcommand*\even@outermargin{}
+\newcommand*\odd@outermargin{}
+\newcommand*\evenoutermargin[1]{\renewcommand\even@outermargin{#1}}% 偶数页内容
+\newcommand*\oddoutermargin[1]{\renewcommand\odd@outermargin{#1}}% 奇数页内容
+\makeatother
+%
+\newkomafont{outermargin}{%页边章节名称字体
+ \sffamily\bfseries\fontsize{15}{15}\selectfont\color{outermarginfgcolor}
+}
+% declare new page style using layers
+\DeclareNewPageStyleByLayers{scth}{%
+ scth.outermargin.bg.even,%
+ scth.outermargin.bg.odd,%
+ scth.outermargin.fg.even,%
+ scth.outermargin.fg.odd,%
+ scth.outermargin.pn.even,%
+ scth.outermargin.pn.odd,%
+ scth.outermargin.cn.even,%
+ scth.outermargin.cn.odd,%
+ scth.outermargin.text.even,%
+ scth.outermargin.text.odd%
+}
+% define the layers for even pages
+\DeclareNewLayer[
+ background, % 下层(背景)
+ evenpage,
+ outermargin,
+ width=\outermarginwidth,
+ contents={\color{outermarginbgcolor}\rule{\layerwidth}{\layerheight}} %色彩装饰条
+]{scth.outermargin.bg.even}%
+%%=============% 页边条颜色 %=======================%%
+\tikzfading[name=fade south,
+ top color =transparent!0,
+ bottom color=transparent!80]
+\tikzfading[name=fade north,
+ top color =transparent!100,
+ bottom color=transparent!0]
+%偶数页边纹理效果设置
+\newcommand{\evensidbardeepcolor}{%
+\tikzoverlay{
+\ifodd\value{page}
+\fill [outermarginfgcolor!20]%
+ (current page.north east) rectangle ([xshift=-\outermarginwidth,yshift=0]current page.south east);
+ \pattern [pattern=checkerboard,pattern color=outermarginfgcolor!50]%
+ (current page.north east) rectangle ([xshift=-\outermarginwidth,yshift=0]current page.south east);
+ \fill [outermarginbgcolor!90,path fading=fade south]%
+ ([yshift=1mm]current page.north east) rectangle ([xshift=-\outermarginwidth,yshift=-.5\layerheight]current page.north east);
+ \fill [outermarginbgcolor,path fading=fade north]%
+ (current page.south east) rectangle ([xshift=-\outermarginwidth,yshift=.2\layerheight]current page.south east);
+\else
+ \fill [outermarginfgcolor!20]%
+ (current page.north west) rectangle ([xshift=\outermarginwidth,yshift=0]current page.south west);
+ \pattern [pattern=checkerboard,pattern color=outermarginfgcolor!50]%
+ (current page.north west) rectangle ([xshift=\outermarginwidth,yshift=0]current page.south west);
+ \fill [outermarginbgcolor!90,path fading=fade south]%
+ ([yshift=1mm]current page.north west) rectangle ([xshift=\outermarginwidth,yshift=-.5\layerheight]current page.north west);
+ \fill [outermarginbgcolor,path fading=fade north]%
+ (current page.south west) rectangle ([xshift=\outermarginwidth,yshift=.2\layerheight]current page.south west);
+ \fi
+}
+}
+%%==============偶数页页边条颜色========================%%
+\DeclareNewLayer[
+ foreground, %
+ evenpage,
+ outermargin,
+ width=\outermarginwidth,
+ contents=\evensidbardeepcolor %色彩装饰条
+]{scth.outermargin.fg.even}%
+%%==============偶数页页脚页码========================%%
+\DeclareNewLayer[
+ foreground, %上层 (背景之上)
+ evenpage,
+ foot, % 页脚
+ contents=\outermarginpagemark
+]{scth.outermargin.pn.even}%
+%%==============偶数页章节编号========================%%
+\DeclareNewLayer[
+ foreground, %上层 (背景之上)
+ evenpage,
+ head, %页眉
+ hoffset=0pt,
+ width=\outermarginwidth,
+ align=t,
+ addvoffset=\dimexpr-\chapternumbersize-12pt+\headheight\relax,
+ height=\chapternumbersize+\headheight,
+ contents=\outermarginchapternumberbox%章节编号
+]{scth.outermargin.cn.even}%
+%%======================章节名称===================================%%
+\DeclareNewLayer[
+ clone=scth.outermargin.cn.even,
+ addheight=\dimexpr\headheight+\headsep+\textheight\relax,
+ addvoffset=\dimexpr+2\outermarginwidth\relax,
+ hoffset=-2.5pt,
+ contents=\outermarginmark %
+]{scth.outermargin.text.even}%
+
+% define the layers for odd page from the settings for even pages
+\newcommand*\DeclareOddFromEven[1]{%复制自偶数页样式命令
+\DeclareNewLayer[
+ clone=#1.even,
+ oddpage,
+ align=r,
+ hoffset=\paperwidth
+]{#1.odd}%
+}
+\DeclareOddFromEven{scth.outermargin.bg}
+\DeclareOddFromEven{scth.outermargin.pn}
+\DeclareOddFromEven{scth.outermargin.cn}
+\DeclareOddFromEven{scth.outermargin.text}
+\DeclareOddFromEven{scth.outermargin.fg}
+
+% add the layers to page style scrheadings and page style plain
+\ForEachLayerOfPageStyle*{scth}{%
+ \AddLayersToPageStyle{scrheadings}{#1}%
+ \AddLayersToPageStyle{plain.scrheadings}{#1}%
+}
+%----------------------------------------------
+\KOMAoptions{markcase=upper} %页眉
+% for page styles scrheadings and plain
+\clearpairofpagestyles
+\ohead{}
+\cfoot{}
+\ofoot{}
+% set the contents of the outer margin on even and odd pages for scrheadings, plain and scth
+\oddoutermargin{\bf\leftmark} % Odd 奇数页
+\makeatletter
+\evenoutermargin{\bfseries\@title} % Even 偶数页
+\makeatother
+%% Begin The Most Beautiful Box (STYLE : ys style) % 中国风盒子
+\makeatletter
+\definecolor{framegolden}{HTML}{455a64} % 控制外框颜色
+\definecolor{framegray}{HTML}{e0e0e0} % 控制填充颜色
+\newdimen\ys@frame@linewidth
+\newdimen\ys@frame@radius
+\newdimen\ys@frame@sep
+\def\ys@frame@fill@opacity{0.2}
+
+\pgfdeclarehorizontalshading{ys@fade@circle}{500bp}
+{color(0bp)=(pgftransparent!100); color(25bp)=(pgftransparent!100);
+color(45bp)=(pgftransparent!0); color(55bp)=(pgftransparent!0);
+color(75bp)=(pgftransparent!100); color(100bp)=(pgftransparent!100)}
+\pgfdeclarefading{ys circle}{\pgfuseshading{ys@fade@circle}}
+
+\def\ys@frame@star@list@t{%
+ -0.7071\ys@frame@radius+0.2133\ys@frame@sep/%
+ -0.7071\ys@frame@radius+0.2133\ys@frame@sep/%
+ frame.north east,%
+ 0.7071\ys@frame@radius-0.2133\ys@frame@sep/%
+ -0.7071\ys@frame@radius+0.2133\ys@frame@sep/%
+ frame.north west}
+\def\ys@frame@star@list@b{%
+ 0.7071\ys@frame@radius-0.2133\ys@frame@sep/%
+ 0.7071\ys@frame@radius-0.2133\ys@frame@sep/%
+ frame.south west,%
+ -0.7071\ys@frame@radius+0.2133\ys@frame@sep/%
+ 0.7071\ys@frame@radius-0.2133\ys@frame@sep/%
+ frame.south east}
+\edef\ys@frame@star@list{\ys@frame@star@list@t,\ys@frame@star@list@b}
+
+%region outer
+\def\ys@frame@remove@middleline#1#2{}
+\def\ys@frame@draw@middleline#1#2{%
+ \clip ([xshift=-\ys@frame@linewidth,#1]frame.north west)--
+ ([xshift=\ys@frame@linewidth,#1]frame.north east)--
+ ([xshift=\ys@frame@linewidth,#2]frame.south east)--
+ ([xshift=-\ys@frame@linewidth,#2]frame.south west)--cycle;}
+\def\ys@frame@unbrokenouter{%
+ \path[draw=framegolden,fill=framegray,fill opacity=\ys@frame@fill@opacity,line width=\ys@frame@linewidth]
+ ([xshift=\ys@frame@radius]frame.north west)--([xshift=-\ys@frame@radius]frame.north east)
+ arc(-180:-90:\ys@frame@radius)--
+ ([yshift=-\ys@frame@radius]frame.north east)--([yshift=\ys@frame@radius]frame.south east)
+ arc(90:180:\ys@frame@radius)--
+ ([xshift=-\ys@frame@radius]frame.south east)--([xshift=\ys@frame@radius]frame.south west)
+ arc(0:90:\ys@frame@radius)--
+ ([yshift=\ys@frame@radius]frame.south west)--([yshift=-\ys@frame@radius]frame.north west)
+ arc(-90:0:\ys@frame@radius)--cycle;}
+\def\ys@frame@firstouter{%
+ \ys@frame@remove@middleline{yshift=.5\ys@frame@linewidth}{yshift=.7\ys@frame@linewidth}%
+ \path[draw=framegolden,fill=framegray,fill opacity=\ys@frame@fill@opacity,line width=\ys@frame@linewidth]
+ ([xshift=\ys@frame@radius]frame.north west)--([xshift=-\ys@frame@radius]frame.north east)
+ arc(-180:-90:\ys@frame@radius)--
+ ([yshift=-\ys@frame@radius]frame.north east)--
+ (frame.south east)--
+ (frame.south west)--
+ ([yshift=-\ys@frame@radius]frame.north west)
+ arc(-90:0:\ys@frame@radius)--cycle;}
+\def\ys@frame@middleouter{%
+ \ys@frame@remove@middleline{yshift=-.7\ys@frame@linewidth}{yshift=.7\ys@frame@linewidth}%
+ \path[draw=framegolden,fill=framegray,fill opacity=\ys@frame@fill@opacity,line width=\ys@frame@linewidth]
+ (frame.north west)--(frame.north east)--(frame.south east)--
+ (frame.south west)--cycle;}
+\def\ys@frame@lastouter{%
+ \ys@frame@remove@middleline{yshift=-.7\ys@frame@linewidth}{yshift=-.5\ys@frame@linewidth}%
+ \path[draw=framegolden,fill=framegray,fill opacity=\ys@frame@fill@opacity,line width=\ys@frame@linewidth]
+ (frame.north west)--(frame.north east)--
+ ([yshift=\ys@frame@radius]frame.south east)
+ arc(90:180:\ys@frame@radius)--
+ ([xshift=-\ys@frame@radius]frame.south east)--([xshift=\ys@frame@radius]frame.south west)
+ arc(0:90:\ys@frame@radius)--
+ ([yshift=\ys@frame@radius]frame.south west)--
+ (frame.north west)--cycle;}
+%endregion
+%region inner
+\def\ys@frame@unbrokeninner{%
+\path[draw=framegolden,line width=.5\ys@frame@linewidth,line cap=round]
+([xshift=\ys@frame@radius+2\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@radius+5\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west) --++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+ ([xshift=\ys@frame@radius+6\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth) %第一节
+ --([xshift=-\ys@frame@radius-8.828\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth)
+ ([xshift=-\ys@frame@radius-7.828\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第二节
+ --([xshift=-\ys@frame@radius-2\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)
+ %%
+([yshift=-\ys@frame@radius-2\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east)
+--([yshift=-\ys@frame@radius-5\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east) --++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+([yshift=-\ys@frame@radius-6\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth) %第一节
+--([yshift=\ys@frame@radius+8.828\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth)
+([yshift=\ys@frame@radius+7.828\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第二节
+%
+ --([yshift=\ys@frame@radius+2\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)
+%
+([xshift=\ys@frame@radius+2\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)
+--([xshift=\ys@frame@radius+5\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west) --++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth)
+([xshift=\ys@frame@radius+6\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第一节
+--([xshift=-\ys@frame@radius-8.828\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+([xshift=-\ys@frame@radius-7.828\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth) %第二节
+ --([xshift=-\ys@frame@radius-2\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)
+%
+([yshift=-\ys@frame@radius-2\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west)
+--([yshift=-\ys@frame@radius-5\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west) --++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth)
+([yshift=-\ys@frame@radius-6\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第一节
+--([yshift=\ys@frame@radius+8.828\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+([yshift=\ys@frame@radius+7.828\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth) %第二节
+ --([yshift=\ys@frame@radius+2\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west);}
+\def\ys@frame@firstinner{%
+ \path[draw=framegolden,line width=.5\ys@frame@linewidth,line cap=round]
+ ([xshift=\ys@frame@radius+2\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@radius+5\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west) --++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+ ([xshift=\ys@frame@radius+6\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth) %第一节
+ --([xshift=-\ys@frame@radius-8.828\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth)
+ ([xshift=-\ys@frame@radius-7.828\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第二节
+ --([xshift=-\ys@frame@radius-2\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)
+ %%
+([yshift=-\ys@frame@radius-2\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east)
+--([yshift=-\ys@frame@radius-5\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east) --++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+([yshift=-\ys@frame@radius-6\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.north east)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth) %第一节
+--([xshift=-\ys@frame@sep]frame.south east)
+
+ ([yshift=-\ys@frame@radius-2\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west)
+ --([yshift=-\ys@frame@radius-5\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west) --++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth)
+ ([yshift=-\ys@frame@radius-6\ys@frame@linewidth,xshift=\ys@frame@sep]frame.north west)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第一节
+ --([xshift=\ys@frame@sep]frame.south west);}
+\def\ys@frame@middleinner{%
+ \path[draw=framegolden,line width=.5\ys@frame@linewidth,line cap=round]
+ ([xshift=-\ys@frame@sep]frame.north east)--([xshift=-\ys@frame@sep]frame.south east)
+ ([xshift=\ys@frame@sep]frame.north west)--([xshift=\ys@frame@sep]frame.south west);}
+\def\ys@frame@lastinner{%
+ \path[draw=framegolden,line width=.5\ys@frame@linewidth,line cap=round]
+ ([xshift=-\ys@frame@sep]frame.north east)
+ --([yshift=\ys@frame@radius+8.828\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth)
+ ([yshift=\ys@frame@radius+7.828\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第二节
+ %
+ --([yshift=\ys@frame@radius+2\ys@frame@linewidth,xshift=-\ys@frame@sep]frame.south east)
+%
+ ([xshift=\ys@frame@radius+2\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)
+ --([xshift=\ys@frame@radius+5\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west) --++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth)
+ ([xshift=\ys@frame@radius+6\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth) %第一节
+ --([xshift=-\ys@frame@radius-8.828\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)--++(45:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+ ([xshift=-\ys@frame@radius-7.828\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)--++(-45:2\ys@frame@linewidth)--++(45:2\ys@frame@linewidth) %第二节
+ --([xshift=-\ys@frame@radius-2\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)
+%
+ ([xshift=\ys@frame@sep]frame.north west)
+ --([yshift=\ys@frame@radius+8.828\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west)--++(-135:2\ys@frame@linewidth)--++(-45:2\ys@frame@linewidth)
+ ([yshift=\ys@frame@radius+7.828\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west)--++(-45:2\ys@frame@linewidth)--++(-135:2\ys@frame@linewidth) %第二节
+ --([yshift=\ys@frame@radius+2\ys@frame@linewidth,xshift=\ys@frame@sep]frame.south west);}
+%endregion
+%region corner
+\def\ys@frame@unbrokencorner{%
+ \path[draw=framegolden,line width=1.5\ys@frame@linewidth,line cap=round]
+ ([xshift=\ys@frame@radius-2.7\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@sep,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@sep,yshift=-\ys@frame@radius+2.7\ys@frame@linewidth]frame.north west)
+ ([xshift=-\ys@frame@radius+2.7\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)
+ --([xshift=-\ys@frame@sep,yshift=-\ys@frame@sep]frame.north east)
+ --([xshift=-\ys@frame@sep,yshift=-\ys@frame@radius+2.7\ys@frame@linewidth]frame.north east)
+ ([xshift=-\ys@frame@radius+2.7\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)
+ --([xshift=-\ys@frame@sep,yshift=\ys@frame@sep]frame.south east)
+ --([xshift=-\ys@frame@sep,yshift=\ys@frame@radius-2.7\ys@frame@linewidth]frame.south east)
+ ([xshift=\ys@frame@radius-2.7\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)
+ --([xshift=\ys@frame@sep,yshift=\ys@frame@sep]frame.south west)
+ --([xshift=\ys@frame@sep,yshift=\ys@frame@radius-2.7\ys@frame@linewidth]frame.south west);}
+\def\ys@frame@firstcorner{%
+ \path[draw=framegolden,line width=1.5\ys@frame@linewidth,line cap=round]
+ ([xshift=\ys@frame@radius-2.7\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@sep,yshift=-\ys@frame@sep]frame.north west)
+ --([xshift=\ys@frame@sep,yshift=-\ys@frame@radius+2.7\ys@frame@linewidth]frame.north west)
+ ([xshift=-\ys@frame@radius+2.7\ys@frame@linewidth,yshift=-\ys@frame@sep]frame.north east)
+ --([xshift=-\ys@frame@sep,yshift=-\ys@frame@sep]frame.north east)
+ --([xshift=-\ys@frame@sep,yshift=-\ys@frame@radius+2.7\ys@frame@linewidth]frame.north east);}
+\def\ys@frame@middlecorner{}
+\def\ys@frame@lastcorner{%
+ \path[draw=framegolden,line width=1.5\ys@frame@linewidth,line cap=round]
+ ([xshift=-\ys@frame@radius+2.7\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south east)
+ --([xshift=-\ys@frame@sep,yshift=\ys@frame@sep]frame.south east)
+ --([xshift=-\ys@frame@sep,yshift=\ys@frame@radius-2.7\ys@frame@linewidth]frame.south east)
+ ([xshift=\ys@frame@radius-2.7\ys@frame@linewidth,yshift=\ys@frame@sep]frame.south west)
+ --([xshift=\ys@frame@sep,yshift=\ys@frame@sep]frame.south west)
+ --([xshift=\ys@frame@sep,yshift=\ys@frame@radius-2.7\ys@frame@linewidth]frame.south west);}
+%endregion
+\def\ys@frame@star#1#2#3{%
+ \begin{scope}[shift={([xshift=#1,yshift=#2]#3)},scale=\ys@frame@ratio*0.1]
+ \path[draw=framegolden,fill=white,
+ line width=.7\ys@frame@linewidth,line join=round]
+ (1,1)..controls(0.3,0.5) and (-0.3,0.5)..
+ (-1,1)..controls(-0.5,0.3) and (-0.5,-0.3)..
+ (-1,-1)..controls(-0.3,-0.5) and (0.3,-0.5)..
+ (1,-1)..controls(0.5,-0.3) and (0.5,0.3)..(1,1)--cycle;
+ \path[scale=0.45,fill=framegolden,line join=round]
+ (1,1)..controls(0.3,0.7) and (-0.3,0.7)..
+ (-1,1)..controls(-0.7,0.3) and (-0.7,-0.3)..
+ (-1,-1)..controls(-0.3,-0.7) and (0.3,-0.7)..
+ (1,-1)..controls(0.7,-0.3) and (0.7,0.3)..(1,1)--cycle;
+ \end{scope}}
+\def\ys@frame@segmentation{%
+ \draw[color=framegolden,path fading=ys circle]
+ ([xshift=5\ys@frame@radius]segmentation.west) to[ornament=88]
+ ([xshift=-5\ys@frame@radius]segmentation.east);}
+
+\tcbset{
+ % 控制是否在断点处的线不画出来
+ ys/frame/not at break/.code=\let\ys@frame@remove@middleline\ys@frame@draw@middleline,
+ ys/frame/fill opacity/.store in=\ys@frame@fill@opacity,
+ ys/frame/draw at break/.code=\let\ys@frame@remove@middleline\@gobbletwo,
+ % 控制线宽
+ ys/frame/line width/.code={\pgfmathsetlength\ys@frame@linewidth{#1}},
+ ys/frame/line width=1.4pt,
+ % 控制圆弧大小，应为数字，而非长度
+ ys/frame/radius/.code={\pgfmathparse{#1}\let\ys@frame@ratio\pgfmathresult
+ \pgfmathsetlength\ys@frame@radius{(#1)*1em}%
+ \pgfmathsetlength\ys@frame@sep{(#1)*0.5ex}},
+ ys/frame/radius=2,
+ ys/frame/unbroken/.style={
+ interior code={%
+ \ys@frame@unbrokenouter % 外框
+ \foreach \ii/\jj/\kk in \ys@frame@star@list {\ys@frame@star{\ii}{\jj}{\kk}} % 星
+ \ys@frame@unbrokeninner % 内线
+ \ys@frame@unbrokencorner % 四角
+ },
+ interior titled code={%
+ \ys@frame@unbrokenouter % 外框
+ \foreach \ii/\jj/\kk in \ys@frame@star@list {\ys@frame@star{\ii}{\jj}{\kk}} % 星
+ \ys@frame@unbrokeninner % 内线
+ \ys@frame@unbrokencorner % 四角
+ }
+ },
+ ys/frame/first/.style={
+ interior code={%
+ \ys@frame@firstouter
+ \foreach \ii/\jj/\kk in \ys@frame@star@list@t {\ys@frame@star{\ii}{\jj}{\kk}}
+ \ys@frame@firstinner
+ \ys@frame@firstcorner},
+ interior titled code={%
+ \ys@frame@firstouter
+ \foreach \ii/\jj/\kk in \ys@frame@star@list@t {\ys@frame@star{\ii}{\jj}{\kk}}
+ \ys@frame@firstinner
+ \ys@frame@firstcorner},
+ },
+ ys/frame/middle/.style={
+ interior code={%
+ \ys@frame@middleouter
+ \ys@frame@middleinner
+ \ys@frame@middlecorner}
+ },
+ ys/frame/last/.style={
+ interior code={%
+ \ys@frame@lastouter
+ \foreach \ii/\jj/\kk in \ys@frame@star@list@b {\ys@frame@star{\ii}{\jj}{\kk}}
+ \ys@frame@lastinner
+ \ys@frame@lastcorner}
+ },
+ ys/frame style/unbroken/.style={
+ boxsep=2\ys@frame@sep,
+ left={.8\ys@frame@radius},right={.8\ys@frame@radius},
+ ys/frame/unbroken,title hidden,
+ segmentation code=\ys@frame@segmentation
+ },
+ ys/frame style/first/.style={ys/frame/first,title hidden,segmentation code=\ys@frame@segmentation},
+ ys/frame style/middle/.style={ys/frame/middle,segmentation code=\ys@frame@segmentation},
+ ys/frame style/last/.style={ys/frame/last,segmentation code=\ys@frame@segmentation},
+ ys style/.style={frame hidden,
+ ys/frame style/unbroken,
+ extras first={ys/frame style/first},
+ extras middle={ys/frame style/middle},
+ extras last={ys/frame style/last},
+ },
+}
+\makeatother
+\newtcolorbox{fancybox}{enhanced,ys style,breakable,pad at break=2mm,
+ ys/frame/not at break,ys/frame/fill opacity=0}
+%% End The Most Beautiful Box
+\makeatletter
+\definecolor{CyaN}{HTML}{dbe1e5}
+\colorlet{OrangE}{yellow!20!orange}
+\colorlet{BluE}{cyan!70!blue}
+\colorlet{ReD}{red!20!orange}
+\colorlet{GreeN}{yellow!40!green}
+
+% 第一种定理
+\tcbset{my@basic@thm/.style={enhanced jigsaw, breakable,
+ enlarge left by=-3.5mm, width=\textwidth+3.5mm, boxrule=0pt,
+ top=2pt, bottom=2pt, left=2.5mm, frame hidden}}
+\newcommand{\@my@newtheorem@n}[1]{\ERROR}
+\newcommand{\@my@newtheorem@nn}[2]{%
+ \@ifundefined{#1}{\@my@newtheorem{#1}#2}{\@my@renewtheorem{#1}#2}}
+\NewDocumentCommand{\@my@newtheorem}{ m m o +m }
+ {\IfNoValueTF{#3}{\newtheorem{#1}{#2}}{\newtheorem{#1}{#2}[#3]}%
+ \tcbset{my@#1@thmstyle/.style={#4}}%
+ \tcolorboxenvironment{#1}{my@basic@thm, my@#1@thmstyle}}
+\NewDocumentCommand{\@my@renewtheorem}{ m m o +m }
+ {\IfNoValueTF{#3}{\renewtheorem{#1}{#2}}{\renewtheorem{#1}{#2}[#3]}%
+ \tcbset{my@#1@thmstyle/.style={#4}}}
+%
+% ---------------------------------------------------------------------------------- %
+% 第二种定理
+\tcbset{my@basic@tcbthm/.style={detach title,}}
+\newcommand{\@my@newtcbtheorem@n}[1]{\ERROR}
+\newcommand{\@my@newtcbtheorem@nn}[2]{%
+ \@ifundefined{#1}{\@my@newtcbtheorem{#1}{#2}}{\@my@renewtcbtheorem{#1}{#2}}}
+\newcommand{\@my@newtcbtheorem}[2]{%
+ \edef\my@curr@thmenvname{#1}% 它保存当前定理环境的名称
+ \mytcbtheoremset{#2}%
+ \NewTColorBox{#1}{ O{} O{} o }
+ {my@basic@tcbthm, my@#1@tcbthmstyle, title={##2}, IfNoValueF={##3}{label={##3}}, ##1}}
+\newcommand{\@my@renewtcbtheorem}[2]{\edef\my@curr@thmenvname{#1}\mytcbtheoremset{#2}}
+
+% 键值设置
+\pgfkeys{/mytcbtheorem/.is family}
+\newcommand{\mytcbtheoremset}{\pgfqkeys{/mytcbtheorem}}
+\mytcbtheoremset{
+ name/.code=\@namedef{\my@curr@thmenvname @name}{#1}, %无效
+ counter/.code=\@namedef{my@\my@curr@thmenvname @counter}{#1}\newcounter{#1}[chapter], % 计数器遇到subsection就会自动归零 % https://zhuanlan.zhihu.com/p/57454848#circle=on
+ the counter/.code=\@namedef{the\@nameuse{my@\my@curr@thmenvname @counter}}{#1},
+ autoref name/.code=\@namedef{\@nameuse{my@\my@curr@thmenvname @counter}autorefname}{#1},
+ style/.code=\tcbset{my@\my@curr@thmenvname @tcbthmstyle/.style={#1}},
+ thmcolor/.code=\@namedef{\my@curr@thmenvname @thmcolor}{#1}, %无效
+ lemcolor/.code=\@namedef{\my@curr@thmenvname @lemcolor}{#1}, %无效
+}
+% 存储键值 (LaTeX3)
+\ExplSyntaxOn
+\cs_new_protected:Npn \mynewtheorem
+ { \keyval_parse:NNn \@my@newtheorem@n \@my@newtheorem@nn }
+\cs_new_protected:Npn \mynewtcbtheorem
+ { \keyval_parse:NNn \@my@newtcbtheorem@n \@my@newtcbtheorem@nn }
+\ExplSyntaxOff
+\makeatother
+
+% 第二种定理
+\makeatletter
+%% Overlay Settings
+\newcommand{\my@theorem@overlay@unbroken}[2]{
+ %%============== First ==============%%
+ \fill[black!60] ([xshift=1cm,yshift=5pt]frame.north west)-- ([xshift=0.8cm,yshift=0cm]frame.north west)--([xshift=1.2cm,yshift=0cm]frame.north west)--cycle;
+ \node[rectangle, text=white, drop shadow={opacity=.3, shadow xshift=0.1cm}, inner sep=1.5mm,fill=#2,
+anchor=west,rounded corners=3pt,font=\bfseries\normalsize] at ([xshift=0cm,yshift=-3.mm]frame.north west) {\hspace*{1.5em}#1.\ \ifdefvoid{\tcbtitletext}{}{(\tcbtitletext)}};
+ \fill[color=#2,drop shadow={opacity=0.3,shadow xshift=.3pt}]
+ ([xshift=1cm,yshift=5pt]frame.north west) {[rounded corners=3pt]--++(-1cm-5pt,0)}--++(0,-1cm-5pt)--cycle;
+ \fill[color=black!60] ([xshift=-5pt,yshift=-1cm]frame.north west)--([xshift=0cm,yshift=-0.8cm]frame.north west)-- ([xshift=0cm,yshift=-1.2cm]frame.north west)--cycle;
+ %%============== End ==============%%
+ \fill[#2,drop shadow={opacity=0.3,shadow xshift=-0.008\linewidth,shadow yshift=0.0016\linewidth}]
+ ([xshift=-0.05\linewidth,yshift=-5pt]frame.south east) {[rounded corners=3pt]--++(0.05\linewidth+5pt,0)}--++(0,0.05\linewidth+5pt)--cycle;
+ \fill[black!60] ([xshift=-0.05\linewidth,yshift=-5pt]frame.south east) -- ([xshift=-0.04\linewidth,yshift=0pt]frame.south east)-- ([xshift=-0.06\linewidth,yshift=0pt]frame.south east)--cycle;
+ \fill[black!60] ([xshift=5pt,yshift=0.05\linewidth]frame.south east)-- ([yshift=0.04\linewidth]frame.south east) -- ([yshift=0.06\linewidth]frame.south east)--cycle;
+}
+\newcommand{\my@theorem@overlay@first}[2]{
+ \fill[black!60] ([xshift=1cm,yshift=5pt]frame.north west)-- ([xshift=0.8cm,yshift=0cm]frame.north west)--([xshift=1.2cm,yshift=0cm]frame.north west)--cycle;
+ \node[rectangle, text=white, drop shadow={opacity=.3, shadow xshift=0.1cm}, inner sep=1.5mm,fill=#2, anchor=west,rounded corners=3pt,font=\bfseries\normalsize] at ([xshift=0cm,yshift=-3.mm]frame.north west) {\hspace*{1.5em}#1.\ \ifdefvoid{\tcbtitletext}{}{(\tcbtitletext)}};
+ \fill[color=#2,drop shadow={opacity=0.3,shadow xshift=.3pt}]
+ ([xshift=1cm,yshift=5pt]frame.north west) {[rounded corners=3pt]--++(-1cm-5pt,0)}--++(0,-1cm-5pt)--cycle;
+ \fill[color=black!60] ([xshift=-5pt,yshift=-1cm]frame.north west)--([xshift=0cm,yshift=-0.8cm]frame.north west)-- ([xshift=0cm,yshift=-1.2cm]frame.north west)--cycle;
+}
+\newcommand{\my@theorem@overlay@last}[1]{
+ \fill[#1,drop shadow={opacity=0.3,shadow xshift=-0.008\linewidth,shadow yshift=0.0016\linewidth}]
+ ([xshift=-0.05\linewidth,yshift=-5pt]frame.south east) {[rounded corners=3pt]--++(0.05\linewidth+5pt,0)}--++(0,0.05\linewidth+5pt)--cycle;
+ \fill[black!60] ([xshift=-0.05\linewidth,yshift=-5pt]frame.south east) -- ([xshift=-0.04\linewidth,yshift=0pt]frame.south east)-- ([xshift=-0.06\linewidth,yshift=0pt]frame.south east)--cycle;
+ \fill[black!60] ([xshift=5pt,yshift=0.05\linewidth]frame.south east)-- ([yshift=0.04\linewidth]frame.south east) -- ([yshift=0.06\linewidth]frame.south east)--cycle;
+}
+% Second theorem style overlay settings
+\newcommand{\my@lemma@overlay@unbroken}[2]{
+ %%============== First ==============%%
+ \def\Rad{3.5pt}
+ \def\theight{0.57cm}
+ \def\rad{7pt}%
+ \path[fill=#2,drop shadow={opacity=0.3,shadow xshift=.05cm,shadow yshift=-.05cm}]node[append after command={
+ ([xshift=-1.5*\rad]thmname.north west) to[out=0,in=180,looseness=1] ([xshift=2.5*\rad]thmname.south west) --([xshift=-\rad]thmname.south east) to[out=0,in=180,looseness=1] ([xshift=3*\rad]thmname.north east) --cycle},
+ text=white,font=\bfseries,align=center,inner ysep=1.5mm,minimum height=0.6cm,right] (thmname) at ([xshift=\rad,yshift=-\rad]frame.north west) {\hspace*{10pt}#1.\ \ifdefvoid{\tcbtitletext}{}{(\tcbtitletext)}};
+ \begin{pgfonlayer}{bottom}
+ \fill[#2,opacity=0.5]
+ ([xshift=-1.5*\rad]thmname.north west) to[out=-90,in=0,looseness=1.5] +(3pt,-6pt) -| +(10pt,0)--cycle;
+ \fill[#2,opacity=0.5]
+ ([xshift=3*\rad]thmname.north east) to[out=0,in=-90] +(5pt,-5pt) -| ++(-10pt,0) --cycle;
+ \end{pgfonlayer}
+ %%============== End ==============%%
+ \def\tlen{1.5cm}
+ \path[fill=#2,drop shadow={opacity=0.3,shadow xshift=.3pt}]
+ ([xshift=-2*\rad,yshift=-5pt]frame.south east) coordinate (SE) to[out=0,in=180] +(4*\rad,5pt+\theight) --([shift={(-\tlen+4*\rad,5pt+\theight)}]SE) to[out=180,in=0] +(-4*\rad,-5pt-\theight) --cycle;
+ \begin{pgfonlayer}{bottom}
+ \fill[color=#2!80!black] ([xshift=-1.35*\tlen+\Rad,yshift=-5pt]frame.south east) to[out=180,in=90,looseness=0.7] ([xshift=-1.35*\tlen-0.5*\Rad]frame.south east) coordinate (NWl)--([xshift=2*\rad]NWl) to[out=-90,in=-180,looseness=0.7] ([xshift=-1.35*\tlen+\Rad,yshift=-5pt]frame.south east)--cycle;
+ \end{pgfonlayer}
+ }
+\newcommand{\my@lemma@overlay@first}[2]{
+ %%============== First ==============%%
+ \def\Rad{3.5pt}
+ \def\theight{0.57cm}
+ \def\rad{7pt}%
+ \path[fill=#2,drop shadow={opacity=0.3,shadow xshift=.05cm,shadow yshift=-.05cm}]node[append after command={
+ ([xshift=-1.5*\rad]thmname.north west) to[out=0,in=180,looseness=1] ([xshift=2.5*\rad]thmname.south west) --([xshift=-\rad]thmname.south east) to[out=0,in=180,looseness=1] ([xshift=3*\rad]thmname.north east) --cycle},
+ text=white,font=\bfseries,align=center,inner ysep=1.5mm,minimum height=0.6cm,right] (thmname) at ([xshift=\rad,yshift=-\rad]frame.north west) {\hspace*{10pt}#1.\ \ifdefvoid{\tcbtitletext}{}{(\tcbtitletext)}};
+ \begin{pgfonlayer}{bottom}
+ \fill[#2,opacity=0.5]
+ ([xshift=-1.5*\rad]thmname.north west) to[out=-90,in=0,looseness=1.5] +(3pt,-6pt) -| +(10pt,0)--cycle;
+ \fill[#2,opacity=0.5]
+ ([xshift=3*\rad]thmname.north east) to[out=0,in=-90] +(5pt,-5pt) -| ++(-10pt,0) --cycle;
+ \end{pgfonlayer}
+ }
+\newcommand{\my@lemma@overlay@last}[1]{
+ %%============== End ==============%%
+ \def\Rad{3.5pt}
+ \def\rad{7pt}%
+ \def\theight{0.57cm}
+ \def\tlen{1.5cm}
+ \path[fill=#1,drop shadow={opacity=0.3,shadow xshift=.3pt}]
+ ([xshift=-2*\rad,yshift=-5pt]frame.south east) coordinate (SE) to[out=0,in=180] +(4*\rad,5pt+\theight) --([shift={(-\tlen+4*\rad,5pt+\theight)}]SE) to[out=180,in=0] +(-4*\rad,-5pt-\theight) --cycle;
+ \begin{pgfonlayer}{bottom}
+ \fill[color=#1!80!black] ([xshift=-1.35*\tlen+\Rad,yshift=-5pt]frame.south east) to[out=180,in=90,looseness=0.7] ([xshift=-1.35*\tlen-0.5*\Rad]frame.south east) coordinate (NWl)--([xshift=2*\rad]NWl) to[out=-90,in=-180,looseness=0.7] ([xshift=-1.35*\tlen+\Rad,yshift=-5pt]frame.south east)--cycle;
+ \end{pgfonlayer}
+ }
+\makeatother
+%%
+
+% proof
+\declaretheoremstyle[
+ spaceabove=3pt,spacebelow=3pt,
+ headfont=\normalfont\bfseries,
+ notefont=\normalfont\bfseries,notebraces={(}{)},
+ bodyfont=\normalfont,
+ postheadspace=1em,
+ headpunct={.},
+ qed=\qedsymbol
+]{Proofstyle}
+\declaretheorem[style=Proofstyle,numbered=no,name={ Proof}]{Proof}
+\renewenvironment{proof}{\begin{Proof} }{\end{Proof}}
+\declaretheorem[style=Proofstyle,numbered=no,name={ Solution}]{solution}
+%% --------参考文献
+\RequirePackage[
+backend=biber,
+style=gb7714-2015,
+sorting=nty
+]{biblatex}
+\addbibresource{ref.bib}
+\indexsetup{level=\chapter*,noclearpage}
+\makeindex[title={ References},columns=3,columnsep=15pt,columnseprule]
+\makeindex
+\newcommand{\Diff}[2][]{\frac{\partial #1}{\partial #2}}
+\newcommand{\Dif}[2]{\frac{\dd #1}{\dd #2}}
+%%%%%%%%%%%%%%% 计数器知识 %%%%%%%%%%%%%%%%%%%%%%
+% 每次用 \newcounter{foo} 定义新计数器，内部都会定义这几个命令
+
+% \c@foo，储存计数器的值，初始值为 0
+% \thefoo，储存计数器输出时的格式，初始定义为 \arabic{foo}
+% \p@foo，储存计数器被引用时的前缀，初始定义为空
+% \cl@foo，储存「子计数器」列表（此处有简化），foo 自增时它的每个「子计数器」都会归零（详见「自动归零」一节），初始定义为空
+%% 关于计数器的自动归零
+% 如果还定义了计数器 \newcounter{bar}[foo]，那么 \cl@foo 里就有了 bar
+% \@addtoreset{child}{parent} 和 \@removefromreset{child}{parent} 可以把计数器 child 移入/移出 \cl@parent
+% \counterwithin* 和 \counterwithout* 和上一条里两个命令的功能类似，但它们在执行前会检查接受的两个参数是否为已定义的计数器。不加星号的版本会修改 \thechild，详见「输出格式」一节
+% 在使用 \stepcounter{parent} 和 \refstepcounter{parent} 时，parent 自增，同时归零\cl@parent 里的「子计数器」
+% \addtocount{parent}{1} 只自增 parent，没有归零其「子计数器」的效果
+% 归零实现为「对每个子计数器，先设为 -1，然后使用 \stepcounter 自增」，这样实现的「归零」功能是递归的
+% 递归的意思是，如果还有 \newcounter{grandchild}[child]，那么 \stepcounter{parent} 会将 child 和 grandchild 都归零
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-24 00:44:55 +0000