Class: Plurimath::UnicodeMath::Constants

Inherits:

Object

• Object
• Plurimath::UnicodeMath::Constants

Defined in:

lib/plurimath/unicode_math/constants.rb

Constant Summary

UNARY_FUNCTIONS =

%w[
  arccos
  arcsin
  arctan
  csch
  sech
  sinh
  tanh
  cosh
  cos
  cot
  csc
  sec
  sin
  tan
  arg
  def
  deg
  det
  dim
  erf
  exp
  gcd
  hom
  inf
  ker
  lim
  log
  max
  min
  mod
  sup
  Im
  Pr
  Re
  ln
  tg
].freeze

UNDEF_UNARY_FUNCTIONS =

%w[
  arg
  def
  erf
  Im
  Pr
  Re
  tg
].freeze

BINARY_FUNCTIONS =

%w[
  obrace
  oint
  prod
  sum
  int
  lim
  inf
  log
].freeze

UNARY_SYMBOLS =

{
  underline: "▁",
  hphantom: "⬄",
  vphantom: "⇳",
  underbar: "▁",
  overline: "¯",
  phantom: "⟡",
  longdiv: "⟌",
  circle: "○",
  asmash: "⬆",
  dsmash: "⬇",
  hsmash: "⬌",
  smash: "⬍",
  overbar: "¯",
}.freeze

PHANTOM_SYMBOLS =

{
  hphantom: { mpadded: { depth: "0", height: "0" }, phantom: true },
  vphantom: { mpadded: { width: "0" }, phantom: true },
  phantom: { phantom: true },
  hsmash: { mpadded: { width: "0" }, phantom: false },
  asmash: { mpadded: { height: "0" }, phantom: false },
  dsmash: { mpadded: { depth: "0" }, phantom: false },
  smash: { mpadded: { height: "0", depth: "0" }, phantom: false }
}.freeze

BINARY_SYMBOLS =

{
  ast: "∗",
  boxdot: "⊡",
  boxminus: "⊟",
  boxplus: "⊞",
  boxtimes: "⊠",
  bullet: "∙",
  Cap: "⋒",
  cap: "∩",
  cdot: "⋅",
  circ: "∘",
  Cup: "⋓",
  cup: "∪",
  curlyvee: "⋎",
  curlywedge: "⋏",
  diamond: "⋄",
  div: "÷",
  divideontimes: "Ç",
  dotminus: "∸",
  dotplus: "∔",
  intercal: "⊺",
  leftthreetimes: "⋋",
  lor: "∨",
  ltimes: "⋉",
  oast: "⊛",
  ocirc: "⊚",
  odash: "⊝",
  odot: "⊙",
  oeq: "⊜",
  ominus: "⊖",
  oplus: "⊕",
  otimes: "⊗",
  pitchfork: "⋔",
  rightthreetimes: "⋌",
  rtimes: "⋊",
  setminus: "∖",
  sqcap: "⊓",
  sqcup: "⊔",
  star: "⋆",
  times: "×",
  triangle: "△",
  uplus: "⊎",
  wedge: "∧",
  neq: "≠",
  wr: "≀",
  ne: "≠",
  dd: "ⅆ",
  Dd: "ⅅ",
}.freeze

NARY_CLASSES =

{
  prod: "∏",
  oint: "∮",
  int: "∫",
  sum: "∑",
}.freeze

NARY_SYMBOLS =

{
  amalg: "∐",
  aoint: "∳",
  bigcap: "⋂",
  bigcup: "⋃",
  bigodot: "⨀",
  bigoplus: "⨁",
  bigotimes: "⨂",
  bigsqcap: "⨅",
  bigsqcup: "⨆",
  bigudot: "⨀",
  biguplus: "⨄",
  bigvee: "⋁",
  bigwedge: "⋀",
  coint: "∲",
  coprod: "∐",
  cwint: "∱",
  iiiint: "⨌",
  iiint: "∭",
  iint: "∬",
  int: "∫",
  oiiint: "∰",
  oiint: "∯",
  oint: "∮",
  prod: "∏",
  sum: "∑",
}.freeze

OPEN_SYMBOLS =

{
  begin: "〖",
  bra: "⟨",
  Langle: "⟪",
  langle: "⟨",
  lbbrack: "⟦",
  lbrace: "{",
  Lbrack: "⟦",
  lbrack: "[",
  lceil: "⌈",
  lfloor: "⌊",
}.freeze

CLOSE_SYMBOLS =

{
  end: "〗",
  ket: "⟩",
  Rangle: "⟫",
  rangle: "⟩",
  rbbrack: "⟧",
  rbace: "}",
  Rbrack: "⟧",
  rbrack: "]",
  rceil: "⌉",
  rfloor: "⌋",
}.freeze

RELATIONAL_SYMBOLS =

{
  angmsd: "∡",
  angrtvb: "⊾",
  angsph: "∢",
  approx: "≈",
  approxeq: "≊",
  asymp: "≍",
  backsim: "∽",
  backsimeq: "⋍",
  because: "∵",
  between: "≬",
  bot: "⊥",
  bowtie: "⋈",
  bumpeq: "≏",
  circeq: "≗",
  circlearrowleft: "↺",
  circlearrowright: "↻",
  delta: "δ",
  Delta: "Δ",
  Colon: "∷",
  colon: "∶",
  cong: "≅",
  curlyeqprec: "⋞",
  curlyeqsucc: "⋟",
  curvearrowleft: "⇠",
  dasharrowright: "⇫",
  dashv: "⊣",
  ddots: "⋱",
  Doteq: "≑",
  doteq: "≐",
  Downarrow: "⇓",
  downarrow: "↓",
  downarrows: "⇊",
  downharpoonleft: "⇃",
  downharpoonright: "⇂",
  eqcirc: "≖",
  eqgtr: "⋝",
  equiv: "≡",
  fallingdotseq: "≒",
  ge: "≥",
  geq: "≥",
  geqq: "≧",
  gg: "≫",
  ggg: "⋙",
  gneqq: "≩",
  gtrdot: "⋗",
  gtreqless: "⋛",
  gtrless: "≷",
  gtrsim: "≳",
  hookleftarrow: "↩",
  hookrightarrow: "↪",
  iff: "⟿",
  in: "∈",
  le: "≤",
  Leftarrow: "⇐",
  leftarrow: "←",
  leftarrowtail: "↢",
  leftharpoondown: "↽",
  leftharpoonup: "↼",
  leftleftarrows: "⇇",
  Leftrightarrow: "⇔",
  leftrightarrow: "↔",
  leftrightarrows: "⇆",
  leftrightharpoons: "⇋",
  leftrightwavearrow: "↭",
  leftsquigarrow: "⇜",
  leftwavearrow: "↜",
  leq: "≤",
  leqq: "≦",
  lessdot: "⋖",
  lesseqgtr: "⋚",
  lessgtr: "≶",
  lesssim: "≲",
  ll: "≪",
  lmoust: "⊰",
  lneq: "≨",
  # lnot: "¬",
  lnsim: "⋦",
  Longleftarrow: "⟸",
  longleftarrow: "⟵",
  Longleftrightarrow: "⟺",
  Longrightarrow: "⟹",
  longrightarrow: "⟶",
  looparrowleft: "↬",
  lrhar: "⇋",
  mapsto: "↦",
  mapstoleft: "↤",
  models: "⊨",
  multimap: "⊸",
  napprox: "≉",
  nasymp: "≭",
  ncong: "≇",
  nearrow: "↗",
  nequiv: "≢",
  ngeq: "≱",
  ngt: "≯",
  ni: "∋",
  nLeftarrow: "⇍",
  nleftarrow: "↚",
  nLeftrightarrow: "⇎",
  nleftrightarrow: "↮",
  nleq: "≰",
  nless: "≮",
  nmid: "∤",
  notin: "∉",
  notni: "∌",
  nparallel: "∦",
  nprec: "⊀",
  npreccurlyeq: "⋠",
  nRightarrow: "⇏",
  nrightarrow: "↛",
  nsim: "≁",
  nsimeq: "≄",
  nsqsubseteq: "⋢",
  nsqsuperseteq: "⋣",
  nsub: "⊄",
  subseteq: "⊈",
  nsucc: "⊁",
  nsucccurlyeq: "⋡",
  nsup: "⊅",
  nsupseteq: "⊈",
  ntriangleleft: "⋪",
  ntriangleright: "⋫",
  ntrianglerighteq: "⋭",
  nVdash: "⊭",
  nvdash: "⊬",
  nwarrow: "↖",
  parallel: "↖",
  perp: "⊥",
  prcue: "≼",
  prec: "≺",
  preccurlyeq: "≼",
  preceq: "⪯",
  precnsim: "⋨",
  precsim: "≾",
  propto: "∝",
  ratio: "∝",
  rddots: "⋰",
  rdsh: "↳",
  Rightarrow: "⇒",
  rightarrow: "→",
  rightarrowtail: "↣",
  rightharpoondown: "⇁",
  rightharpoonup: "⇀",
  rightleftarrows: "⇄",
  rightleftharpoons: "⇌",
  rightrightarrows: "⇉",
  rightsquigarrow: "⇝",
  rightwavearrow: "↝",
  risingdotseq: "≓",
  rlhar: "⇌",
  rmoust: "⎱",
  searrow: "↘",
  sim: "∼",
  simeq: "≃",
  sqsubset: "⊏",
  sqsubseteq: "⊑",
  sqsupset: "⊐",
  sqsupseteq: "⊒",
  Subset: "⋐",
  subset: "⊂",
  subsetneq: "⊊",
  subsub: "⫓",
  succ: "≻",
  succcurlyeq: "≽",
  succeq: "⪰",
  succnsim: "⋩",
  succsim: "≿",
  Supset: "⋑",
  supset: "⊃",
  supseteq: "⊇",
  supsetneq: "⊋",
  supsub: "⫔",
  supsup: "⫖",
  swarrow: "↙",
  therefore: "∴",
  to: "→",
  top: "⊤",
  trianglelefteq: "⊴",
  trianglerighteq: "⊵",
  twoheadleftarrow: "↞",
  twoheadrightarrow: "↠",
  Uparrow: "⇑",
  uparrow: "↑",
  Updownarrow: "⇕",
  updownarrow: "↕",
  updownarrows: "⇅",
  upharpoonleft: "↿",
  upharpoonright: "↾",
  upuparrows: "⇈",
  vartriangleleft: "⊲",
  vartriangleright: "⊳",
  VDash: "⊫",
  Vdash: "⊩",
  vdash: "⊢",
  vdots: "⋮",
  Vvdash: "⊪",
}.freeze

HORIZONTAL_BRACKETS =

{
  underbracket: "⎵",
  overbracket: "⎴",
  undershell: "⏡",
  underparen: "⏝",
  underbrace: "⏟",
  overshell: "⏠",
  overparen: "⏜",
  overbrace: "⏞",
}.freeze

UNDER_HORIZONTAL_BRACKETS =

{
  underbracket: "⎵",
  undershell: "⏡",
  underparen: "⏝",
  underbrace: "⏟",
}.freeze

ORDINARY_SYMBOLS =

{
  backepsilon: "϶",
  diamondsuit: "♤",
  varepsilon: "ε",
  rightangle: "∠",
  complement: "∁",
  spadesuit: "♠",
  emptyset: "∅",
  vartheta: "ϑ",
  varsigma: "ς",
  varkappa: "ϰ",
  hearsuit: "♡",
  clubsuit: "♣",
  partial: "∂",
  nexists: "∄",
  upsilon: "υ",
  Upsilon: "Υ",
  epsilon: "ϵ",
  Deltaeq: "≜",
  varrho: "ϱ",
  forall: "∀",
  exists: "∃",
  varphi: "φ",
  lambda: "λ",
  Lambda: "Λ",
  frown: "⌢",
  nabla: "∇",
  angle: "∠",
  daleth: "ℸ",
  varpi: "ϖ",
  theta: "θ",
  Theta: "Θ",
  sigma: "σ",
  Sigma: "Σ",
  omega: "ω",
  Omega: "Ω",
  medsp: " ",
  ldots: "…",
  kappa: "κ",
  jmath: "ȷ",
  infty: "∞",
  imath: "ı",
  gimel: "ℷ",
  gamma: "γ",
  Gamma: "Γ",
  cdots: "⏯",
  alpha: "α",
  aleph: "ℵ",
  "...": "…",
  Vert: "‖",
  norm: "‖",
  zwsp: "​",
  zwnj: "‌",
  zeta: "ζ",
  vbar: "│",
  ldsh: "↲",
  iota: "ι",
  hbar: "ℏ",
  gets: "←",
  degree: "°",
  epar: "⋥",
  dots: "…",
  degf: "℉",
  degc: "℃",
  ddag: "‡",
  beth: "ℶ",
  beta: "ʲ",
  inc: "∆",
  tau: "τ",
  rho: "ρ",
  qed: "∎",
  psi: "ψ",
  Psi: "Ψ",
  phi: "ϕ",
  Phi: "Φ",
  eta: "η",
  ell: "ℓ",
  dag: "†",
  chi: "χ",
  box: "□",
  vert: "|",
  eqno: "#",
  mp: "∓",
  xi: "ξ",
  wp: "℘",
  Re: "ℜ",
  pi: "π",
  Pi: "Π",
  oo: "ω",
  nu: "ν",
  mu: "μ",
  jj: "ⅉ",
  Im: "ℑ",
  ii: "ⅈ",
  ee: "ⅇ",
  neg: "¬",
  pm: "±",
}.freeze

SKIP_SYMBOLS =

{
  vthicksp: " ",
  thicksp: " ",
  thinsp: " ",
  hairsp: " ",
  numsp: " ",
  quad: " ",
  ensp: " ",
  emsp: " ",
  nbsp: " ",
}.freeze

OPEN_PARENTHESIS =

[
  "[",
  "(",
  "{",
].freeze

CLOSE_PARENTHESIS =

[
  "]",
  ")",
  "}",
].freeze

NEGATABLE_SYMBOLS =

%w[
  "⊒"
  "⊑"
  "⊇"
  "⊆"
  "⊃"
  "⊂"
  "≼"
  "≻"
  "≺"
  "≽"
  "≷"
  "≶"
  "≥"
  "≤"
  "≡"
  "≍"
  "≈"
  "≅"
  "≃"
  "∼"
  "∋"
  "∈"
  "∃"
  ">"
  "<"
  "¬"
  ~
  =
  +
  -
].freeze

PREFIXED_NEGATABLE_SYMBOLS =

%w[
  sqsupseteq
  sqsubseteq
  supseteq
  subseteq
  emptyset
  gtrless
  lessgtr
  nexists
  approx
  exists
  supset
  subset
  forall
  preceq
  succeq
  simeq
  equiv
  frown
  nabla
  angle
  asymp
  succ
  prec
  cong
  neg
  inc
  sim
  ge
  le
  ni
  in
].freeze

ACCENT_SYMBOLS =

{
  widetilde: "̃",
  widehat: "̂",
  ddddot: "⃜",
  breve: "̆",
  check: "̌",
  tilde: "̃",
  lhvec: "⃐",
  rhvec: "⃑",
  grave: "̀",
  dddot: "⃛",
  acute: "́",
  ddot: "̈",
  lvec: "⃖",
  hvec: "⃑",
  ubar: "̲",
  tvec: "⃡",
  dot: "̇",
  Bar: "̿",
  bar: "̅",
  hat: "̂",
  vec: "⃗",
}.freeze

UNARY_ARG_FUNCTIONS =

{
  bcancel: "╲",
  xcancel: "╳",
  ellipse: "⬭",
  cancel: "╱",
  rrect: "▢",
  rect: "▭",
  abs: "⒜",
}.freeze

FONTS_CLASSES =

%w[
  mbfitsans
  mbffrak
  mitsans
  mbfsans
  mbfscr
  mfrak
  msans
  mbfit
  mscr
  Bbb
  mup
  mbf
  mit
  mtt
].freeze

ALPHANUMERIC_FONTS_CLASSES =

%w[
  mbfsans
  msans
  Bbb
  mtt
  mbf
  mup
].freeze

SIZE_OVERRIDES_SYMBOLS =

{
  A: "1.25em",
  B: "1.5625em",
  C: "0.8em",
  D: "0.64em",
}.freeze

DIACRITIC_OVERLAYS =

[
  '⃫',
  '⃪',
  '⃦',
  '⃥',
  '⃤',
  '⃣',
  '⃢',
  '⃠',
  '⃟',
  '⃞',
  '⃝',
  '⃚',
  '⃙',
  '⃘',
  '⃓',
  '⃒',
  '̉',
  '̄',
  '̸',
  '̷',
  '̶',
  '̵',
  '̴',
].freeze

OVERLAYS_NOTATIONS =

{
  '⃫': "mover",
  '⃪': "mover",
  '⃦': "mover",
  '⃥': "mover",
  '⃤': "mover",
  '⃣': "mover",
  '⃢': "mover",
  '⃠': "circle downdiagonalstrike",
  '⃟': "mover",
  '⃞': "box",
  '⃝': "circle",
  '⃚': "mover",
  '⃙': "mover",
  '⃔': "mover",
  '⃖': "mover",
  '⃕': "mover",
  '⃘': "mover",
  '⃓': "mover",
  '⃒': "mover",
  '̄': "top",
  '̸': "mover",
  '̷': "mover",
  '̶': "mover",
  '̵': "mover",
  '̴': "mover",
  '̉': "mover",
}.freeze

DIACRITIC_BELOWS =

[
  '̖',
  '̗',
  '̘',
  '̙',
  '̜',
  '̝',
  '̞',
  '̟',
  '̠',
  '̡',
  '̢',
  '̣',
  '̤',
  '̥',
  '̦',
  '̧',
  '̨',
  '̩',
  '̪',
  '̫',
  '̬',
  '̭',
  '̮',
  '̯',
  '̰',
  '̱',
  '̲',
  '̳',
  '̹',
  '̺',
  '̻',
  '̼',
  'ͅ',
  '͇',
  '͈',
  '͉',
  '͍',
  '͎',
  '͓',
  '͔',
  '͕',
  '͖',
  '͙',
  '͚',
  '͜',
  '͟',
  '͢',
  '⃨',
  '⃬',
  '⃭',
  '⃮',
  '⃯',
].freeze

BELOWS_NOTATIONS =

{
  '̖': "munder",
  '̗': "munder",
  '̘': "munder",
  '̙': "munder",
  '̜': "munder",
  '̝': "munder",
  '̞': "munder",
  '̟': "munder",
  '̠': "munder",
  '̡': "munder",
  '̢': "munder",
  '̣': "munder",
  '̤': "munder",
  '̥': "munder",
  '̦': "munder",
  '̧': "munder",
  '̨': "munder",
  '̩': "munder",
  '̪': "munder",
  '̫': "munder",
  '̬': "munder",
  '̭': "munder",
  '̮': "munder",
  '̯': "munder",
  '̰': "munder",
  '̱': "munder",
  '̲': "bottom",
  '̳': "munder",
  '̹': "munder",
  '̺': "munder",
  '̻': "munder",
  '̼': "munder",
  'ͅ': "munder",
  '͇': "munder",
  '͈': "munder",
  '͉': "munder",
  '͍': "munder",
  '͎': "munder",
  '͓': "munder",
  '͔': "munder",
  '͕': "munder",
  '͖': "munder",
  '͙': "munder",
  '͚': "munder",
  '͜': "munder",
  '͟': "munder",
  '͢': "munder",
  '⃨': "munder",
  '⃬': "munder",
  '⃭': "munder",
  '⃮': "munder",
  '⃯': "munder",
}.freeze

SUP_DIGITS =

{
  "0": "⁰",
  "1": "¹",
  "2": "²",
  "3": "³",
  "4": "⁴",
  "5": "⁵",
  "6": "⁶",
  "7": "⁷",
  "8": "⁸",
  "9": "⁹"
}.freeze

SUB_DIGITS =

{
  "0": "₀",
  "1": "₁",
  "2": "₂",
  "3": "₃",
  "4": "₄",
  "5": "₅",
  "6": "₆",
  "7": "₇",
  "8": "₈",
  "9": "₉",
}.freeze

SUB_ALPHABETS =

{
  "a": "ₐ",
  "e": "ₑ",
  "h": "ₕ",
  "i": "ᵢ",
  "j": "ⱼ",
  "k": "ₖ",
  "l": "ₗ",
  "m": "ₘ",
  "n": "ₙ",
  "o": "ₒ",
  "p": "ₚ",
  "r": "ᵣ",
  "s": "ₛ",
  "t": "ₜ",
  "u": "ᵤ",
  "v": "ᵥ",
  "x": "ₓ"
}.freeze

SUP_ALPHABETS =

{
  "a": "ᵃ",
  "b": "ᵇ",
  "c": "ᶜ",
  "d": "ᵈ",
  "e": "ᵉ",
  "f": "ᶠ",
  "g": "ᵍ",
  "h": "ʰ",
  "i": "ⁱ",
  "j": "ʲ",
  "k": "ᵏ",
  "l": "ˡ",
  "m": "ᵐ",
  "n": "ⁿ",
  "o": "ᵒ",
  "p": "ᵖ",
  "r": "ʳ",
  "s": "ˢ",
  "t": "ᵗ",
  "u": "ᵘ",
  "v": "ᵛ",
  "w": "ʷ",
  "x": "ˣ",
  "y": "ʸ",
  "z": "ᶻ"
}.freeze

SUB_OPERATORS =

{
  "+": "₊",
  "-": "₋",
  "=": "₌",
  "ₔ": "ₔ",
}.freeze

SUP_OPERATORS =

{
  "+": "⁺",
  "-": "⁻",
  "=": "⁼",
}.freeze

SUB_PARENTHESIS =

{
  open: {
    "(": "₍",
  },
  close: {
    ")": "₎",
  },
}.freeze

SUP_PARENTHESIS =

{
  open: {
    "⁽": "⁽",
  },
  close: {
    "⁾": "⁾",
  },
}.freeze

MATRIXS =

{
  pmatrix: "⒨",
  vmatrix: "⒱",
  Vmatrix: "⒩",
  bmatrix: "ⓢ",
  Bmatrix: "Ⓢ",
  eqarray: "█",
  matrix: "■",
  cases: "Ⓒ",
}.freeze

COMBINING_SYMBOLS =

{
  "!!": "‼",
  "-+": "∓",
  "+-": "±",
}.freeze

UNICODE_FRACTIONS =

{
  "⅓": [1, 3],
  "⅔": [2, 3],
  "⅕": [1, 5],
  "⅖": [2, 5],
  "⅗": [3, 5],
  "⅘": [4, 5],
  "⅙": [1, 6],
  "⅚": [5, 6],
  "⅐": [1, 7],
  "⅛": [1, 8],
  "⅜": [3, 8],
  "⅝": [5, 8],
  "⅞": [7, 8],
  "⅑": [1, 9],
  "↉": [0, 3],
  "½": [1, 2],
  "¼": [1, 4],
  "¾": [3, 4],
}.freeze

UNICODED_FONTS =

{
  script: {
    "H": "ℋ"
  },
  fraktur: {
    "H": "ℌ",
  },
  double: {
    "H": "ℍ"
  },
  mitBbb: {
    D: "ⅅ",
    d: "ⅆ",
    e: "ⅇ",
    i: "ⅈ",
    j: "ⅉ",
  },
}.freeze

PREFIXED_PRIMES =

{
  pppprime: "⁗",
  ppprime: "‴",
  pprime: "″",
  prime: "′",
}.freeze

PARENTHESIS_MATRICES =

{
  pmatrix: "(",
  vmatrix: "|",
  Vmatrix: "\\Vert",
  bmatrix: "[",
  Bmatrix: "{",
  eqarray: nil,
  matrix: nil,
  cases: nil,
}.freeze

Class Method Summary

• .wrapper_symbols ⇒ Object

Class Method Details

.wrapper_symbols ⇒ Object

# File 'lib/plurimath/unicode_math/constants.rb', line 1023

def wrapper_symbols
  @@wrapper_symbols ||= Utility.symbols_hash(:unicodemath).keys.grep(/"P\{[^\}]+\}/)
end