eep_page/src/views/book/courseware/data/math.js

// 数学公式组件
// 该组件用于展示数学公式，使用 MathJax 渲染公式内容

import { commonSetProperty } from './common';

export function getMathProperty() {
  return {
    ...commonSetProperty,
  };
}

// 按用途分类的数学公式宏列表
export const mathMacrosListByCategory = {
  // 关系符号
  relation: [
    'approxeq',
    'backsimeq',
    'bumpeq',
    'Bumpeq',
    'circeq',
    'doteqdot',
    'Doteq',
    'eqcirc',
    'eqsim',
    'eqslantgtr',
    'eqslantless',
    'fallingdotseq',
    'geqq',
    'geqslant',
    'ggg',
    'gggtr',
    'gnapprox',
    'gnsim',
    'gtrapprox',
    'gtrdot',
    'gtreqless',
    'gtreqqless',
    'gtrless',
    'gtrsim',
    'leqq',
    'leqslant',
    'lessapprox',
    'lessdot',
    'lesseqgtr',
    'lesseqqgtr',
    'lessgtr',
    'lesssim',
    'lll',
    'llless',
    'lnapprox',
    'lneqq',
    'lnsim',
    'ncong',
    'neq',
    'ngtr',
    'nless',
    'nprec',
    'npreceq',
    'nsim',
    'nsucc',
    'nsucceq',
    'ntriangleleft',
    'ntrianglelefteq',
    'ntriangleright',
    'ntrianglerighteq',
    'prec',
    'precapprox',
    'preccurlyeq',
    'precnapprox',
    'precneqq',
    'precnsim',
    'precsim',
    'succ',
    'succapprox',
    'succcurlyeq',
    'succnapprox',
    'succneqq',
    'succnsim',
    'succsim',
    'Subset',
    'subseteqq',
    'Supset',
    'supseteqq',
    'sim',
    'simeq',
    'thickapprox',
    'thicksim',
    'trianglelefteq',
    'trianglerighteq',
    'triangleq',
    'vartriangle',
    'vartriangleleft',
    'vartriangleright',
    'vdash',
    'vDash',
    'Vdash',
    'Vvdash',
    'models',
    'nvdash',
    'shortmid',
    'shortparallel',
    'mid',
    'parallel',
    'dashv',
    'nvDash',
    'nVdash',
    'nVDash',
    'between',
    'because',
    'therefore',
    'Join',
    'leadsto',
    'pitchfork',
    'propto',
    'varpropto',
    'restriction',
    'smallfrown',
    'smallsmile',
    'smile',
    'frown',
    'asymp',
    'approx',
    'cong',
    'equiv',
    'ne',
    'notag',
    'preceq',
    'succeq',
  ],
  // 箭头符号
  arrows: [
    'backepsilon',
    'curvearrowleft',
    'curvearrowright',
    'dashleftarrow',
    'dashrightarrow',
    'downdownarrows',
    'downharpoonleft',
    'downharpoonright',
    'hookleftarrow',
    'hookrightarrow',
    'leftarrow',
    'Leftarrow',
    'leftarrowtail',
    'leftleftarrows',
    'leftrightarrow',
    'Leftrightarrow',
    'leftrightarrows',
    'leftrightharpoons',
    'leftrightsquigarrow',
    'looparrowleft',
    'looparrowright',
    'Lsh',
    'rightarrow',
    'Rightarrow',
    'rightarrowtail',
    'rightleftarrows',
    'rightleftharpoons',
    'rightrightarrows',
    'rightsquigarrow',
    'Rrightarrow',
    'Rsh',
    'twoheadleftarrow',
    'twoheadrightarrow',
    'upharpoonleft',
    'upharpoonright',
    'upuparrows',
    'implies',
    'impliedby',
    'leadsto',
    'mapsto',
    'nleftarrow',
    'nLeftarrow',
    'nleftrightarrow',
    'nLeftrightarrow',
    'nrightarrow',
    'nRightarrow',
    'xleftarrow{1}',
    'xrightarrow{1}',
  ],
  // 运算符号
  operators: [
    'barwedge',
    'bigstar',
    'binom{1}{2}',
    'boxdot',
    'boxminus',
    'boxplus',
    'boxtimes',
    'Cap',
    'centerdot',
    'cfrac{1}{2}',
    'checkmark',
    'circledast',
    'circledcirc',
    'circleddash',
    'complement',
    'Cup',
    'curlyvee',
    'curlywedge',
    'dbinom{1}{2}',
    'ddddot{x}',
    'dddot{x}',
    'DeclareMathOperator{\\foo}{bar}',
    'dfrac{a}{b}',
    'Diamond',
    'divideontimes',
    'dotplus',
    'doublebarwedge',
    'doublecap',
    'doublecup',
    'frac{1}{2}',
    'genfrac{}{}{}{}{1}{4}',
    'idotsint',
    'iiiint',
    'int',
    'iint',
    'iiint',
    'intercal',
    'land',
    'lor',
    'maltese',
    'measuredangle',
    'mho',
    'multimap',
    'prod',
    'projlim',
    'rtimes',
    'ltimes',
    'sideset{^*}{_a}\\sum',
    'smallsetminus',
    'sqcap',
    'sqcup',
    'star',
    'substack{a \\\\ b}',
    'sum',
    'tbinom{1}{2}',
    'tfrac{1}{2}',
    'varinjlim',
    'varliminf',
    'varlimsup',
    'varprojlim',
    'wedge',
    'vee',
    'veebar',
    'wr',
  ],
  // 集合符号
  sets: [
    'beth',
    'daleth',
    'Finv',
    'Game',
    'gimel',
    'varnothing',
    'emptyset',
    'in',
    'notin',
    'ni',
    'owns',
    'subset',
    'supset',
    'subseteq',
    'supseteq',
    'sqsubset',
    'sqsupset',
    'sqsubseteq',
    'sqsupseteq',
  ],
  // 物理符号
  physics: [
    'abs{a}',
    'acomm{A}{B}',
    'acos(x)',
    'acosine',
    'acot(x)',
    'acsc(x)',
    'admat{1, 2, 3}',
    'anticommutator{A}{B}',
    'arccos(x)',
    'arccot(x)',
    'arccsc(x)',
    'arcsec(x)',
    'arcsin(x)',
    'arctan(x)',
    'asec(x)',
    'asin(x)',
    'atan(x)',
    'bmqty{x}',
    'bqty{x}',
    'Bqty{x}',
    'bra{\\phi}',
    'braket{a}{b}',
    'comm{A}{B}',
    'cos{1}',
    'cosecant{1}',
    'cosh{1}',
    'cot{1}',
    'coth{1}',
    'cross{1}',
    'csc{1}',
    'csch{1}',
    'curl{1}',
    'dd{1}',
    'det{1}',
    'diagonalmatrix{1}',
    'diffd{1}',
    'div{1}',
    'dv{1}',
    'dyad{1}',
    'erf{1}',
    'ev{1}',
    'eval{1}',
    'exp{1}',
    'expval{1}',
    'fdv{1}',
    'flatfrac{1}{2}',
    'grad{1}',
    'hypcosecant{1}',
    'hypcosine{1}',
    'hypcotangent{1}',
    'hypsecant{1}',
    'hypsine{1}',
    'hyptangent{1}',
    'Im{1}',
    'imat{1}',
    'ip{1}',
    'ket{1}',
    'ketbra{1}',
    'laplacian{1}',
    'ln{1}',
    'log{1}',
    'mdet{a & b \\newline c & d}',
    'mel{n}{A}{m}',
    'mqty{a & b \\newline c & d}',
    'naturallogarithm{1}',
    'norm{a}',
    'op{1}',
    'order{1}',
    'pb{A}{B}',
    'pdv{f}{x}',
    'pmat{n}',
    'pmqty{1}',
    'Pmqty{1}',
    'pqty{1}',
    'Pr(tall)',
    'pv{\\int f(z) \\dd{z}}',
    'PV{\\int f(z) \\dd{z}}',
    'qty{3.0}{m/s}',
    'Re{z}',
    'Res[f(z)]',
    'sbmqty{1}',
    'sec{x}',
    'sech{1}',
    'sin{1}',
    'sinh{1}',
    'smdet{1}',
    'smqty{a & b \\newline c & d}',
    'spmqty{a & b \\newline c & d}',
    'sPmqty{a & b \\newline c & d}',
    'svmqty{a & b \\newline c & d}',
    'tan{1}',
    'tanh{1}',
    'tr{1}',
    'Tr{1}',
    'va{1}',
    'var{F[g(x)]}',
    'vb{a}',
    'vdot',
    'vmqty{x}',
    'vnabla',
    'vqty{x}',
    'vu{a}',
    'xmat{1}{2}{3}',
    'zmat{2}{2}',
  ],
  // 希腊字母/变体
  greek: [
    'varDelta',
    'varGamma',
    'varLambda',
    'varOmega',
    'varPhi',
    'varPi',
    'varPsi',
    'varSigma',
    'varTheta',
    'varUpsilon',
    'varXi',
  ],
  // 括号/分隔符
  brackets: ['lvert', 'lVert', 'rvert', 'rVert', 'llcorner', 'lrcorner', 'ulcorner', 'urcorner'],
  // 其他（文本、空格、特殊符号等）
  others: [
    'Bbbk',
    'blacklozenge',
    'blacksquare',
    'blacktriangle',
    'blacktriangledown',
    'blacktriangleleft',
    'blacktriangleright',
    'Box',
    'boxed{Cup}',
    'diagdown',
    'diagup',
    'eqref{eq1}',
    'eth',
    'hslash',
    'mathring{x}',
    'negmedspace',
    'negthickspace',
    'nexists',
    'nobreakspace',
    'operatorname{foo}',
    'shoveleft x + y = z \\newline a + b = c',
    'shoveright  x + y = z \\newline a + b = c',
    'sphericalangle',
    'tag{1}',
    'yen',
  ],
};

export const onlyMultiMacros = ['shoveleft', 'shoveright'];

export const onlyAlignMacros = ['admat', 'xmat', 'zmat'];

export const categoryList = {
  operators: '运算符号',
  relation: '关系符号',
  arrows: '箭头符号',
  sets: '集合符号',
  physics: '物理符号',
  greek: '希腊字母',
  brackets: '分隔符',
  others: '其他',
};

export function getMathData() {
  return {
    type: 'math',
    title: '公式',
    property: getMathProperty(),
    math: '$\n$', // 公式内容
    mind_map: {
      node_list: [{ name: '公式组件' }],
    },
  };
}