markdown.hsnips

# Rearranged from OrangeX4/OrangeX4-HyperSnips to meet personal taste.

global
// JavaScript code
function gen_matrix(nrow, ncol) {
	let results = "";
	let order = 1;
	for (var i=0; i < nrow; i++){
		results += ' ';
		for(var j = 0; j < ncol - 1; j++){
			results += "$" + (order).toString() + " & ";
			order ++;
		}
		results += "$" + (order).toString() + " \\\\" + "\\";
		order ++;
	}
	return results;
}

function gen_matrix_transposed(nrow, ncol) {
	let results = "";
	for (var i = 0; i < nrow; i++){
		results += ' ';
        var j = 0;
		for(; j < ncol - 1;j++){
			results += "$" + (i + j * ncol + 1).toString() + " & ";
		}
		results += "$" + (i + j * ncol + 1).toString() + " \\\\" + "\\";
	}
	return results;
}

function tes_matrix(nrow, ncol,t) {
	let results = "";
	let order = 1;
	for (var i=0; i<nrow; i++){
		results += '	';
		for(var j = 0;j <ncol-1;j++){
			if (order > 1 ){
				results += "${" +(order ).toString() + ":" + t[order-2] + "}\t & ";
			}
			else{
				results += "$" +(order ).toString()  + " & ";
			}
			order ++;
		}
		results += "$"+(order).toString() +" \\\\" + "\\ ";
		order ++;
	}
	return results;
}

// 输出一个表格
function createTable(rows, cols) {
    let ret = "";
    let order = 1;
    for (let i = 0; i < parseInt(rows) + 2; i++) {
        for (let j = 0; j < parseInt(cols); j++) {
            if (i === 1) {
                ret += "|---";
            } else {
                ret += "| $" + (order).toString() + " ";
                order++;
            }
        }
        ret += "|\n"
    }
    return ret;
}
endglobal


## 数学模式

snippet lm "inline Math" wA
$${1}$$0
endsnippet

snippet dm "display Math" wA
$$
${1}
$$$0
endsnippet

snippet eqt "equation" wA
\begin{equation}
  ${1}
\end{equation}
endsnippet

snippet eqs "equation*" wA
\begin{equation*}
  ${1}
\end{equation*}
endsnippet


## 分数

snippet // "Fraction" iAm
\\frac{${1:${VISUAL}}}{$2}$0
endsnippet

snippet `((\d+)|(\d*)(\\)?([A-Za-z!]+)((\^|_)(\{\d+\}|\d))*)/` "Fraction no ()" iAm
\frac{``rv = m[1]``}{$1}$0
endsnippet

priority 200
snippet `(?<=\s)(\\mu|\\alpha|\\sigma|\\rho|\\beta|\\gamma|\\delta|\\zeta|\\eta|\\varepsilon|\\theta|\\iota|\\kappa|\\vartheta|\\lambda|\\nu|\\pi|\\rho|\\tau|\\upsilon|\\phi|\\chi|\\psi|\\omega|\\Gamma|\\Delta|\\Theta|\\Lambda|\\Xi|\\Pi|\\Sigma|\\Upsilon|\\Phi|\\Psi|\\Omega|[A-Za-z]{1,2})?(_[A-Za-z0-9]|_\{[^}]+\})?(\^[A-Za-z0-9]|\^\{[^}]+\})?(_[A-Za-z0-9]|_\{[^}]+\})?(\([^)]+\))(_[A-Za-z0-9]|_\{[^}]+\})?(\^[A-Za-z0-9]|\^\{[^}]+\})?(_[A-Za-z0-9]|_\{[^}]+\})?\/` "Fraction with ()" iAm
``rv = "\\frac{" + m.slice(1, m.length).join('') + "}{$1}$2"``
endsnippet


## 帽子

#### 单个

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(tld)` "波浪线" iAm 
\tilde{``rv = m[1]``}
endsnippet

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(bar)` "横线" iAm
\bar{``rv = m[1]``}
endsnippet

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(hat)` "尖顶" iAm
\hat{``rv = m[1]``}
endsnippet

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(vec)` "向量" iAm
\vec{``rv = m[1]``}
endsnippet

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(VEC)` "左箭头" iAm
\overleftarrow{``rv = m[1]``}
endsnippet

snippet `(\\?[a-zA-Z]\w*({?\w*})?)(dot)` "点" iAm
\dot{``rv = m[1]``}
endsnippet
priority 200
snippet `\\?(c|d|v|l)(dot)` "点" iAm
\``rv = m[1]``dot
endsnippet

priority 1000
snippet `(\\?[a-zA-Z]\w*({?\w*})?)(ddot)` "两点" iAm
\ddot{``rv = m[1]``}
endsnippet

#### 多个

snippet tld "tilde" iAm
\tilde{$1}$0
endsnippet

snippet bar "bar" iAm
\overline{$1}$0
endsnippet

snippet hat "hat" iAm
\hat{$1}$0
endsnippet

snippet vec "vec" iAm
\overrightarrow{$1}$0
endsnippet

snippet VEC "reversed vec" iAm
\overleftarrow{$1}$0
endsnippet

snippet sqrt "根号" iAm
\sqrt{${1}}$0
endsnippet


## 数学字体

snippet txt "纯文本" iAm
\text{$1}$0
endsnippet

snippet tit "纯文本斜体" iAm
\textit{$1}$0
endsnippet

snippet mcal "手写体1" iAm
\mathcal{$1}$0
endsnippet

snippet mscr "手写体2" iAm
\mathscr{$1}$0
endsnippet

snippet mbb "空心体" iAm
\mathbb{$1}$0
endsnippet

snippet mbf "粗体" iAm
\mathbf{$1}$0
endsnippet

snippet 0bm "0bm" iAm
\bm{0}
endsnippet

snippet 1bm "1bm" iAm
\bm{1}
endsnippet

snippet TT "转置" iAm
^{\mathrm{T}}
endsnippet

snippet HH "共轭转置" iAm
^{\mathrm{H}}
endsnippet

snippet RR "R" iAm
\mathbb{R}
endsnippet

snippet NN "N" iAm
\mathbb{N}
endsnippet

snippet ZZ "Z" iAm
\mathbb{Z}
endsnippet

snippet QQ "Q" iAm
\mathbb{Q}
endsnippet

snippet CC "C" iAm
\mathbb{C}
endsnippet


## “象形”符号 及 容易漏打\的如函数名
snippet oooo "\infty" iAmm
\infty
endsnippet

snippet ... "cdots" iAm
\cdots
endsnippet

snippet `(\d+)\.\.` "e.g. 3..形成x_3,...,x_n, 其中光标停留在x上" iAm
``rv = m[1].split('').map((d) => "${1:_}" + d + "${2:, }").join('');``\cdots${3:${2:, }${1:_}n}
endsnippet

snippet `(\d+),` "e.g. 134,形成x_1,x_3,x_4, 其中光标停留在x上" iAm
``rv = m[1].split('').map((d) => "${1:_}" + d).join("${2:, }");``
endsnippet

snippet <> "菱形" iA
\diamond 
endsnippet

# +... -> , \cdots
# -  ... -> , \cdots
# add a space if there already is one.
priority 101
snippet `(?<=[-+])\s*\.\.\.` "smart cdots" imA
 \cdots 
endsnippet

# It seems that \ldots is only used when , ..., 
# ,... -> , \ldots
# ,  ... -> , \ldots
priority 101
snippet `(?<=,)(\s*)\.\.\.` "贴地三点（只在逗号后触发）" imA
 \ldots 
endsnippet

snippet ** "中间一点（乘法）" iAm
\cdot 
endsnippet

snippet +- "pm" iAm
\pm 
endsnippet

snippet -+ "mp" iAm
\mp 
endsnippet

priority 101
snippet xx "乘号" iAm
\times 
endsnippet

snippet `(?<!\\)eps` "epsilon" iAm
\epsilon
endsnippet

priority 100
snippet `(?<!\\)veps` "varepsilon" iAm
\varepsilon
endsnippet

snippet oth "otherwise" iAm
\text{otherwise}
endsnippet

snippet `(?<!\\)(oint|iiint|iint|int)` "integrate" iAm
\\``rv = m[1]``
endsnippet

snippet `(?<!\\)(sum|min|max|argmin|argmax|sup|inf)` "sum|min|max|argmin|argmax|sup|inf" iAm
\\``rv = m[1]``
endsnippet

snippet `(?<!\\)(sin|cos|tan|arccot|cot|csc|ln|log|exp|det|perp|arcsin|arccos|arctan|arccot|arccsc|arcsec|ell|nabla|notin|not)` "function" iAm
\\``rv = m[1]``
endsnippet

snippet `(?<!\\)(mu|alpha|sigma|rho|beta|Beta|gamma|delta|pi|zeta|eta|varepsilon|theta|iota|kappa|vartheta|lambda|nu|pi|rho|tau|upsilon|varphi|phi|chi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)` "greek" iAm
\\``rv = m[1]``
endsnippet

snippet `(?<!\\|e)(psi)` "专门拿出psi, 因为它含于epsilon" iAm
\\``rv = m[1]``
endsnippet

snippet `(?<!\\)(quad)` "quad" iAm
\\``rv = m[1]``
endsnippet


## 逻辑学

snippet empty "empty" iAm
\empty
endsnippet

priority 200
snippet `inn|iin` "in" iAm
\in 
endsnippet

priority 200
snippet `\\ln ?ot` "in" iAm
\lnot 
endsnippet

snippet sse "subseteq" iAm
\subseteq 
endsnippet

snippet sqs "sqsubset" iAm
\sqsubseteq 
endsnippet

priority 200
snippet `tto|too|->` "to" iAm
\to 
endsnippet

priority 201
snippet `rtto|rtoo|<-|-<` "leftarrow" iAm
\leftarrow 
endsnippet

priority 200
snippet `(?<!\\)(cap|cup|land|lor|lnot|oplus|ominus|otimes|sqcap|sqcup|vdash|models)` "logic operator" iAm
\\``rv = m[1]`` 
endsnippet

priority 200
snippet `(?<=\b|\d+)(?<!\\)(bot|top|dagger)` "logic symbols" iAm
\\``rv = m[1]``
endsnippet

priority 201
snippet `\|->|mto` "mapsto" iAm
\mapsto 
endsnippet

snippet `ipy|=>` "implies" iAm
\implies
endsnippet

snippet `iby|=<` "implied by" iAm
\impliedby
endsnippet

priority 200
snippet iff "if and only if" iAm
\iff
endsnippet

snippet EE "exist" iAm
\exists 
endsnippet

snippet AA "forall" iAm
\forall 
endsnippet

snippet bec "because" iAm
\because 
endsnippet

snippet thr "therefore" iAm
\therefore 
endsnippet


## 概率论

snippet Pr "Pr" iAm
\operatorname{Pr}
endsnippet

snippet Var "Var" iAm
\operatorname{Var}
endsnippet

snippet Cov "Cov" iAm
\operatorname{Cov}
endsnippet

snippet Exp "Expected" iAm
\mathbb{E}
endsnippet


## 比较符号

snippet -- "集合减法" iAm
\setminus
endsnippet

snippet >= "greater than" iAm
\ge $0
endsnippet

snippet <= "less than" iAm
\le $0
endsnippet

snippet != "no equals" iAm
\neq 
endsnippet

snippet == "constant equals" iAm
\equiv 
endsnippet

snippet ~ "一条波浪" iAm
\sim 
endsnippet

priority 200
snippet `\\sim -` "一条波浪一条横线" iAm
\simeq 
endsnippet

snippet ~~ "两条波浪" iAm
\approx 
endsnippet

snippet `\\sim =` "一条波浪两条横线" iAm
\cong
endsnippet

snippet >> ">>" iAm
\gg
endsnippet

snippet << "<<" iAm
\ll
endsnippet


## 双边符号

snippet case "cases" iAm
\begin{cases} $1, & $2 \\\\ $3, & $4 \end{cases}
endsnippet

snippet ali "aligned" iAm
\begin{aligned}
$1
\end{aligned}
endsnippet

snippet `c(ei)?l` "ceil" iAm
\left\lceil $1 \right\rceil $0
endsnippet

snippet `fl(oor)?` "floor" iAm
\left\lfloor $1 \right\rfloor$0
endsnippet

priority 100
snippet @) "left( right)" Aim
\left( ${1} \right) $0
endsnippet

priority 100
snippet @| "left| right|" Aim
\left| ${1} \right| $0
endsnippet

priority 100
snippet @\ "left. right|" Aim
\left. ${1} \right|_{${2}}$0
endsnippet

priority 100
snippet @} "left\{ right\}" Aim
\left\\{ ${1} \right\\} $0
endsnippet

priority 100
snippet set "\{ \}" Aim
\\{ ${1} \\}$0
endsnippet

priority 100
snippet @] "left[ right]" Aim
\left[ ${1} \right] $0
endsnippet

priority 100
snippet @> "leftangle rightangle" iAm
\left<${1} \right>$0
endsnippet

priority 200
snippet norm "范数" iAm
\left\| ${1} \right\|$2
endsnippet


## 乱七八糟

snippet tag "tag" iAm
\tag{$1}
endsnippet

snippet xyb "Auto (x, y)" iAm
(x, y)
endsnippet

snippet xyzb "Auto (x, y ,z)" iAm
(x, y, z)
endsnippet

priority 100
snippet `\b([a-zA-Z])n(\d)` "输入xn2得到x_{n+2}" iAm
``rv = m[1]``_{${1:n}+``rv = m[2]``}$0
endsnippet

snippet seq "数列{x_n}_{n=1}^{\infty}" iAm
\\{${1:x}_${2:n}\\}_{${3:$2}=${4:1}}^{\infty}$0
endsnippet

priority 200
snippet abs "absolute value" iAm
\left\vert ${1} \right\vert $0
endsnippet

snippet beg "begin{} / end{}" bA
\\begin{$1}
	$0
\\end{$1}
endsnippet


## 展开

priority 100
snippet comma "生成\alpha_1,\alpha_2,...,\alpha_n" iAm
${1:\\alpha}_1,${1:\\alpha}_2,\\cdots,${1:\\alpha}_${2:n}
endsnippet

priority 100
snippet plus "生成k_1 \alpha_1 + k_2 \alpha_2 +...+ k_n \alpha_n" iAm
${1:k}_1${2:\\alpha}_1+${1:k}_2${2:\\alpha}_2+\\cdots+${1:k}_${3:n}${2:\\alpha}_${3:n}
endsnippet

snippet `\b(i)i=n` "将ii/jj/kk=n自动展成i=1,2,...,n" iAm
i=1,2,\cdots,n
endsnippet
snippet `\b(j)j=n` iAm
j=1,2,\cdots,n
endsnippet
snippet `\b(k)k=n` iAm
k=1,2,\cdots,n
endsnippet


## 常用公式

snippet tay "taylor" iAm
\sum\limits_{${1:k}=${2:0}}^{${3:\infty}} ${4:\frac{f^{($1)\} (x_0)\}{k!\}} (x-x_0)^$1 $0
endsnippet

snippet `(?<!\\)lim` "limit" iAm
\lim\limits_{${1:n} \to ${2:\infty}}
endsnippet

snippet `(?<!\\)prod` "product" iAm
\prod\limits_{${1:n=${2:1}}}^{${3:\infty}} {$4}$0
endsnippet

snippet `(?<!\\)part` "偏/偏x" iAm
\frac{\partial ${1:F}}{\partial ${2:x}}$0
endsnippet

priority 300
snippet `(?<!\\)diff` "d/dx" iAm
\frac{\mathrm{d}${1:y}}{\mathrm{d}${2:x}}$0
endsnippet

priority 400
snippet `(?<!\\)2diff` "d2/dx2" iAm
\frac{\mathrm{d}^2${1:y}}{\mathrm{d}${2:x}^2}$0
endsnippet

priority 400
snippet `(?<!\\)3diff` "d3/dx3" iAm
\frac{\mathrm{d}^3${1:y}}{\mathrm{d}${2:x}^3}$0
endsnippet

priority 300
snippet `dd` "d" iAm
\mathrm{d}
endsnippet

snippet CUP "bigcup" iAm
\bigcup\limits_{${1:i \in ${2: I}}} $0
endsnippet

snippet CAP "bigcap" iAm
\bigcap\limits_{${1:i \in ${2: I}}} $0
endsnippet

priority 100
snippet dint "integral" iAm
\int_{${1:-\infty}}^{${2:\infty}} ${3:f(x)} \\mathrm{d}${4:x}$0
endsnippet

priority 200
snippet `c(o|n)?(l|n)?(b|c)?int` "各种积分号" iAm
``
let final = "\\"; // init
let isO = m[1] == "o";
(isO) ? final += "o" : "" // o option
let b = 1;
let isL = m[2] == "l";
(m[3] == 'b') ? b = 2 : (m[3] == 'c') ? b = 3 : 1;
for (let i = 0; i < b - 1; i++) {
final += "i";
}
final += "int";
final += ((b >= 2) || (b != 1 && !isO && isL)) ? "\\limits" : "";
let r = (b == 3) ? "E" : (b == 1 && (isL || isO)) ? "C" : "R";
final += ((b >= 2) || isO || (b == 1 && isL)) ? "_{${1:" + r + "}}" : "_{${1:-\\infty}}^{${2:\\infty}}";
let x = (b == 2) ? "A" : (b == 3) ? "V" : (b == 1 && isL) ? "s" : "x";
final += " ${3} \\mathrm{d}${4:" + x + "}$0";
rv = final;
``
endsnippet


## 自定义纯文本显示的算子

priority 100
snippet `(?<![\a-zA-Z])(rank|trace|svd|eye|ones|orth|rows|cols|zeros|diag|rref|hstack|vstack|nullspace|eigen|dim|lcm|gcd|atan2|softmax|eig|sign|const)` "math function" iAm
\\operatorname{``rv = m[1]``}
endsnippet


## 大定义

snippet `DEFF|bigdef` "详细定义映射" iAm
\begin{equation$6}
    \begin{aligned}
        $1\colon $2 &\longrightarrow $3 \\\\
                 $4 &\longmapsto $1($4) = $5
    \end{aligned}
\end{equation$6}$0
endsnippet

priority 300
snippet bigmin "Optimization problem" iAm
\begin{equation$4}
	\begin{aligned}
		\min &\quad ${1:f(x)}\\\\
		\text{s.t.} &\quad ${2:g(x)} \leq 0\\\\
					&\quad ${3:h(x)} = 0\\\\
	\end{aligned}
\end{equation$4}$0
endsnippet

priority 300
snippet bigmax "Optimization problem" iAm
\begin{equation$4}
	\begin{aligned}
		\max &\quad ${1:f(x)}\\\\
		\text{s.t.} &\quad ${2:g(x)} \leq 0\\\\
					&\quad ${3:h(x)} = 0\\\\
	\end{aligned}
\end{equation$4}$0
endsnippet


priority 300
snippet Argmin "Optimization problem" iAm
\begin{aligned}
\argmin_{${1:\beta}}
&\quad ${2:f(x)}  \\\\
\text{s.t.}
&\quad ${3:g(x) > 0}  \\\\
\end{aligned}
endsnippet

priority 300
snippet Argmax "Optimization problem" iAm
\begin{aligned}
\argmax_{${1:\beta}}
&\quad ${2:f(x)}  \\\\
\text{s.t.}
&\quad ${3:g(x) > 0}  \\\\
\end{aligned}
endsnippet

snippet deff "定义数值函数" iAm
$1\colon ${2:\\mathbb{R\}} \to ${3:\\mathbb{R\}}, ${4:x} \mapsto $0
endsnippet


snippet iid "independent and identical distribution" iAm
\overset{\text{i.i.d.}}{\sim}
endsnippet

snippet defe "定义符号1: 等号上面一个def" iAm
\overset{\underset{\mathrm{def}}{}}{=}
endsnippet

snippet deft "定义符号2: 加热符号" iAm
\triangleq 
endsnippet


## 矩阵

snippet pmat "pmat" wm
\begin{pmatrix} 
    ${1: } 
\end{pmatrix} $0
endsnippet

snippet bmat "pmat" wm
\begin{bmatrix} 
    $1 
\end{bmatrix} $0
endsnippet

priority 300
snippet cvec "列向量" iAm
\begin{pmatrix} ${1:x}_1 \\\\ ${1:x}_2 \\\\ \vdots \\\\ ${1:x}_${2:n} \end{pmatrix}
endsnippet

priority 300
snippet rvec "行向量" iAm
\begin{pmatrix} ${1:x}_1, ${1:x}_2, \cdots, ${1:x}_${2:n} \end{pmatrix}$0
endsnippet

priority 300
snippet diag "对角矩阵" iAm
\\begin{pmatrix}${1:d_1}& &\\\\&${2:d_2}&\\\\&&\\ddots&\\\\&&&${3:d_n}\\end{pmatrix}
endsnippet

priority 301
snippet amat "矩阵(a_{ij})" iAm
\\begin{pmatrix}
    ${1:a}_{11} & ${1:a}_{12} & \\cdots & ${1:a}_{1n} \\\\
    ${1:a}_{21} & ${1:a}_{22} & \\cdots & ${1:a}_{2n} \\\\
    \\vdots & \\vdots & \\ddots & \\vdots \\\\
    ${1:a}_{n1} & ${1:a}_{n2} & \\cdots & ${1:a}_{nn}
\\end{pmatrix}
endsnippet
priority 300
snippet `(?<!b|p|v)mat` "mat 除各...外可供修改" iAm
\\begin{pmatrix}
    ${1:a_{11\}} & ${2:a_{12\}} & \\cdots & ${3:a_{1n\}} \\\\
    ${4:a_{21\}} & ${5:a_{22\}} & \\cdots & ${6:a_{2n\}} \\\\
    \\vdots & \\vdots & \\ddots & \\vdots \\\\
    ${7:a_{n1\}} & ${8:a_{n2\}} & \\cdots & ${9:a_{nn\}}
\\end{pmatrix}
endsnippet

snippet jacobi "jacobi" iAm
\\begin{pmatrix}\\frac{\\partial ${1:f}_1}{\\partial ${2:x}_1}&\\frac{\\partial ${1:f}_1}{\\partial ${2:x}_2}&\\cdots&\\frac{\\partial ${1:f}_1}{\\partial ${2:x}_${3:n}}\\\\\\frac{\\partial ${1:f}_2}{\\partial ${2:x}_1}&\\frac{\\partial ${1:f}_2}{\\partial ${2:x}_2}&\\cdots&\\frac{\\partial ${1:f}_2}{\\partial ${2:x}_${3:n}}\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\\\frac{\\partial ${1:f}_${3:m}}{\\partial ${2:x}_1}&\\frac{\\partial ${1:f}_${3:m}}{\\partial ${2:x}_2}&\\cdots&\\frac{\\partial ${1:f}_${3:m}}{\\partial ${2:x}_${3:n}}\\end{pmatrix}
endsnippet

priority 300
snippet `(b|p|v)mata([1-9])` "pmata3|vmata3(行列式) 填入所有元素相等" iiAm
\\begin{``rv = m[1]``matrix}``
	let len = m[2];
	let results = "";
	for (var i=0; i<len; i++){
		results += "$1 &".repeat(len-1) + " $1 \\\\\\\\";
	}
	rv = results;
``\\end{``rv = m[1]``matrix}$0
endsnippet

priority 300
snippet `(b|p|v)mat([1-9])` "pmat3 按行填入" iiAm
\\begin{``rv = m[1]``matrix}``
	rv = gen_matrix(m[2],m[2]);
``\\end{``rv = m[1]``matrix}$0
endsnippet

priority 300
snippet `(b|p|v)matr([1-9]{1})` "pmatr3 按列填入" iiAm
\\begin{``rv = m[1]``matrix}``
	rv = gen_matrix_transposed(m[2],m[2]);
``\\end{``rv = m[1]``matrix}$0
endsnippet


## 非数学相关, 方框与表格, markdown实现并不理想

snippet \box "Box" 
``rv = '┌' + '─'.repeat(t[0].length + 2) + '┐'``
│ $1 │
``rv = '└' + '─'.repeat(t[0].length + 2) + '┘'``
endsnippet

priority 300
snippet `table(\d)(\d)` "create table with rows and columns" wA
``
rv = createTable(m[1], m[2]);
``
endsnippet