MikTex的使用

1. 首先下载 MikTex https://miktex.org/download MikTex
   
   • 扩展包的的下载
     http://mirrors.ibiblio.org/CTAN/systems/win32/miktex/tm/packages/
   • 针对扩展包的安装可以参考
     https://www.zhihu.com/question/26584112#answer-8711046 中的相关说法
2. TexWork的使用
   如下是包括了中文注释的算法实现
   有关Tex后缀文件中宏块的使用，以及算法中常见的运算符以及数学符号表达均可以参考textmaker中的表达。

\documentclass[11pt]{article}
\usepackage{CJK}
\usepackage[top=2cm, bottom=2cm, left=2cm, right=2cm]{geometry}
\usepackage{algorithm}
\usepackage{algorithmicx}
\usepackage{algpseudocode}
\usepackage{amsmath}

\floatname{algorithm}{算法}
\renewcommand{\algorithmicrequire}{\textbf{输入:}}
\renewcommand{\algorithmicensure}{\textbf{输出:}}

\begin{document}
\begin{CJK*}{UTF8}{gkai}
    \begin{algorithm}
        \caption{用归并排序求逆序数}
        \begin{algorithmic}[1] %每行显示行号
            \Require $Array$数组，$n$数组大小
            \Ensure 逆序数
            \Function {MergerSort}{$Array, left, right$}
                \State $result \gets 0$
                \If {$left < right$}
                    \State $middle \gets (left + right) / 2$
                    \State $result \gets result +$ \Call{MergerSort}{$Array, left, middle$}
                    \State $result \gets result +$ \Call{MergerSort}{$Array, middle, right$}
                    \State $result \gets result +$ \Call{Merger}{$Array,left,middle,right$}
                \EndIf
                \State \Return{$result$}
            \EndFunction
            \State
            \Function{Merger}{$Array, left, middle, right$}
                \State $i\gets left$
                \State $j\gets middle$
                \State $k\gets 0$
                \State $result \gets 0$
                \While{$i<middle$ \textbf{and} $j<right$}
                    \If{$Array[i]<Array[j]$}
                        \State $B[k++]\gets Array[i++]$
                    \Else
                        \State $B[k++] \gets Array[j++]$
                        \State $result \gets result + (middle - i)$
                    \EndIf
                \EndWhile
                \While{$i<middle$}
                    \State $B[k++] \gets Array[i++]$
                \EndWhile
                \While{$j<right$}
                    \State $B[k++] \gets Array[j++]$
                \EndWhile
                \For{$i = 0 \to k-1$}
                    \State $Array[left + i] \gets B[i]$
                \EndFor
                \State \Return{$result$}
            \EndFunction
        \end{algorithmic}
    \end{algorithm}
\end{CJK*}
\end{document}

如下为根据上述表达更改后算法表达

\documentclass[11pt]{article}
\usepackage{CJK}
\usepackage[top=2cm, bottom=2cm, left=2cm, right=2cm]{geometry}
\usepackage{algorithm}
\usepackage{algorithmicx}
\usepackage{algpseudocode}
\usepackage{amsmath}

\floatname{algorithm}{算法}
\renewcommand{\algorithmicrequire}{\textbf{输入:}}
\renewcommand{\algorithmicensure}{\textbf{输出:}}

\begin{document}
\begin{CJK*}{UTF8}{gkai}
    \begin{algorithm}
        \caption{轴类零件几何特征提取}
        \begin{algorithmic}[1] %每行显示行号
            \Require $part$  零件几何模型 ；$S$  面集合
            \Require $S_{m}$  加工面图节点集合 ；$FeatureTag$  包含几何信息特征类 
            \Require $CFeatureList$  特征链表   $Graph$  扩展属性邻接图
            \Function {ShaftPart}{$part$}  
                \State $Graph \; pGraph_{1},pGraph_{2}$       
                \State $S=\emptyset$,$S_{m}=\emptyset$ 
                \State $FeatureTag\;Tag=\emptyset$ 
					\State $CFeatureList\;Featurelist=\emptyset$ 
                \ForAll  {$f_{i}  \in  part.faces$ }    \quad零件面集合遍历
                    \If {$f_{i} \;is\; End\; face\;of\;Shaft $}    \quad如果是轴端面则标记为端面特征
                     \State  $mark\;f_{i}\;as\;End\;face$       
                     \State $S= S \cup f_{i}$         \quad得到面集合
                    \EndIf
                \EndFor                  
                \State $pGraph_{1}=InitializeGraph(S)$      \quad 由B-rep结构生成邻接图
                \ForAll {$f_{i} \;in\; S$}
                   \If {$f_{i}\;is\;machining base face$}
                     \State $S_{m}= S_{m} \cup f_{i}$   \quad 加工面图节点集合
                   \EndIf
                \EndFor
                \ForAll {$f_{k}\in S_{m}$} 
                  \If {$f_{k} \;compose \;MMCSG$}       \quad 满足加工面最小条件子图  
                     \State $FeatureTag\;Tag_{i}=CreateTag(f_{k})$     \quad 创建几何特征体
                     \State $Tag=Tag\cup Tag_{i}$                       
                     \State $pGraph_{2}=pGraph_{1}-Tag_{i}.Graph$
                  \EndIf
                \EndFor 
                \ForAll {$Tag_{j}\in Tag$} 
                  \If {$Tag_{j} is Feature$}      \quad 根据启发式规则或预定义规则库进行匹配
                     \State $Feature\;Feature_{j}=CreateFeature(Tag_{j})$  \quad 匹配特征并创建特征类
                     \State $Featurelist.pushback(Feature_{j})$    \quad 加入到特征链表     
                  \EndIf
                \EndFor  
                 \ForAll {$f_{i}\in S_{m}$}      \quad 寻找加工面图节点遍历
                  \If {$f_{i} \;compose\; MMCSG \in pGraph_{2}$}   \quad 是否在剩余子图中满足MMCSG
                     \State $recognizing\;Intersection\;feature$
                     \State $Featurelist.pushback(Feature_{i})$    \quad 识别相交特征并创建特征加入到特征链表
                  \EndIf
                \EndFor 
                 \ForAll {$f_{i}\in S$}                            
                  \If {$f_{i} \; Match \;Cylinder \;or \; Hole \;... \in pGraph_{1}$}    
                     \State $Featurelist.pushback(Feature_{i})$     \quad 寻找满足圆柱段、孔、倒角等非MMCSG特征并添加到链表;
                  \EndIf
                \EndFor  
            \EndFunction
        \end{algorithmic}
    \end{algorithm}
\end{CJK*}
\end{document}