Docling/docling/backend/docx/latex/latex_dict.py

"""
Adapted from https://github.com/xiilei/dwml/blob/master/dwml/latex_dict.py
On 23/01/2025
"""

CHARS = ("{", "}", "_", "^", "#", "&", "$", "%", "~")

BLANK = ""
BACKSLASH = "\\"
ALN = "&"

CHR = {
    # Unicode : Latex Math Symbols
    # Top accents
    "\u0300": "\\grave{{{0}}}",
    "\u0301": "\\acute{{{0}}}",
    "\u0302": "\\hat{{{0}}}",
    "\u0303": "\\tilde{{{0}}}",
    "\u0304": "\\bar{{{0}}}",
    "\u0305": "\\overbar{{{0}}}",
    "\u0306": "\\breve{{{0}}}",
    "\u0307": "\\dot{{{0}}}",
    "\u0308": "\\ddot{{{0}}}",
    "\u0309": "\\ovhook{{{0}}}",
    "\u030a": "\\ocirc{{{0}}}}",
    "\u030c": "\\check{{{0}}}}",
    "\u0310": "\\candra{{{0}}}",
    "\u0312": "\\oturnedcomma{{{0}}}",
    "\u0315": "\\ocommatopright{{{0}}}",
    "\u031a": "\\droang{{{0}}}",
    "\u0338": "\\not{{{0}}}",
    "\u20d0": "\\leftharpoonaccent{{{0}}}",
    "\u20d1": "\\rightharpoonaccent{{{0}}}",
    "\u20d2": "\\vertoverlay{{{0}}}",
    "\u20d6": "\\overleftarrow{{{0}}}",
    "\u20d7": "\\vec{{{0}}}",
    "\u20db": "\\dddot{{{0}}}",
    "\u20dc": "\\ddddot{{{0}}}",
    "\u20e1": "\\overleftrightarrow{{{0}}}",
    "\u20e7": "\\annuity{{{0}}}",
    "\u20e9": "\\widebridgeabove{{{0}}}",
    "\u20f0": "\\asteraccent{{{0}}}",
    # Bottom accents
    "\u0330": "\\wideutilde{{{0}}}",
    "\u0331": "\\underbar{{{0}}}",
    "\u20e8": "\\threeunderdot{{{0}}}",
    "\u20ec": "\\underrightharpoondown{{{0}}}",
    "\u20ed": "\\underleftharpoondown{{{0}}}",
    "\u20ee": "\\underledtarrow{{{0}}}",
    "\u20ef": "\\underrightarrow{{{0}}}",
    # Over | group
    "\u23b4": "\\overbracket{{{0}}}",
    "\u23dc": "\\overparen{{{0}}}",
    "\u23de": "\\overbrace{{{0}}}",
    # Under| group
    "\u23b5": "\\underbracket{{{0}}}",
    "\u23dd": "\\underparen{{{0}}}",
    "\u23df": "\\underbrace{{{0}}}",
}

CHR_BO = {
    # Big operators,
    "\u2140": "\\Bbbsum",
    "\u220f": "\\prod",
    "\u2210": "\\coprod",
    "\u2211": "\\sum",
    "\u222b": "\\int",
    "\u22c0": "\\bigwedge",
    "\u22c1": "\\bigvee",
    "\u22c2": "\\bigcap",
    "\u22c3": "\\bigcup",
    "\u2a00": "\\bigodot",
    "\u2a01": "\\bigoplus",
    "\u2a02": "\\bigotimes",
}

T = {
    # Greek letters
    "\U0001d6fc": "\\alpha ",
    "\U0001d6fd": "\\beta ",
    "\U0001d6fe": "\\gamma ",
    "\U0001d6ff": "\\theta ",
    "\U0001d700": "\\epsilon ",
    "\U0001d701": "\\zeta ",
    "\U0001d702": "\\eta ",
    "\U0001d703": "\\theta ",
    "\U0001d704": "\\iota ",
    "\U0001d705": "\\kappa ",
    "\U0001d706": "\\lambda ",
    "\U0001d707": "\\m ",
    "\U0001d708": "\\n ",
    "\U0001d709": "\\xi ",
    "\U0001d70a": "\\omicron ",
    "\U0001d70b": "\\pi ",
    "\U0001d70c": "\\rho ",
    "\U0001d70d": "\\varsigma ",
    "\U0001d70e": "\\sigma ",
    "\U0001d70f": "\\ta ",
    "\U0001d710": "\\upsilon ",
    "\U0001d711": "\\phi ",
    "\U0001d712": "\\chi ",
    "\U0001d713": "\\psi ",
    "\U0001d714": "\\omega ",
    "\U0001d715": "\\partial ",
    "\U0001d716": "\\varepsilon ",
    "\U0001d717": "\\vartheta ",
    "\U0001d718": "\\varkappa ",
    "\U0001d719": "\\varphi ",
    "\U0001d71a": "\\varrho ",
    "\U0001d71b": "\\varpi ",
    # Relation symbols
    "\u2190": "\\leftarrow ",
    "\u2191": "\\uparrow ",
    "\u2192": "\\rightarrow ",
    "\u2193": "\\downright ",
    "\u2194": "\\leftrightarrow ",
    "\u2195": "\\updownarrow ",
    "\u2196": "\\nwarrow ",
    "\u2197": "\\nearrow ",
    "\u2198": "\\searrow ",
    "\u2199": "\\swarrow ",
    "\u22ee": "\\vdots ",
    "\u22ef": "\\cdots ",
    "\u22f0": "\\adots ",
    "\u22f1": "\\ddots ",
    "\u2260": "\\ne ",
    "\u2264": "\\leq ",
    "\u2265": "\\geq ",
    "\u2266": "\\leqq ",
    "\u2267": "\\geqq ",
    "\u2268": "\\lneqq ",
    "\u2269": "\\gneqq ",
    "\u226a": "\\ll ",
    "\u226b": "\\gg ",
    "\u2208": "\\in ",
    "\u2209": "\\notin ",
    "\u220b": "\\ni ",
    "\u220c": "\\nni ",
    # Ordinary symbols
    "\u221e": "\\infty ",
    # Binary relations
    "\u00b1": "\\pm ",
    "\u2213": "\\mp ",
    # Italic, Latin, uppercase
    "\U0001d434": "A",
    "\U0001d435": "B",
    "\U0001d436": "C",
    "\U0001d437": "D",
    "\U0001d438": "E",
    "\U0001d439": "F",
    "\U0001d43a": "G",
    "\U0001d43b": "H",
    "\U0001d43c": "I",
    "\U0001d43d": "J",
    "\U0001d43e": "K",
    "\U0001d43f": "L",
    "\U0001d440": "M",
    "\U0001d441": "N",
    "\U0001d442": "O",
    "\U0001d443": "P",
    "\U0001d444": "Q",
    "\U0001d445": "R",
    "\U0001d446": "S",
    "\U0001d447": "T",
    "\U0001d448": "U",
    "\U0001d449": "V",
    "\U0001d44a": "W",
    "\U0001d44b": "X",
    "\U0001d44c": "Y",
    "\U0001d44d": "Z",
    # Italic, Latin, lowercase
    "\U0001d44e": "a",
    "\U0001d44f": "b",
    "\U0001d450": "c",
    "\U0001d451": "d",
    "\U0001d452": "e",
    "\U0001d453": "f",
    "\U0001d454": "g",
    "\U0001d456": "i",
    "\U0001d457": "j",
    "\U0001d458": "k",
    "\U0001d459": "l",
    "\U0001d45a": "m",
    "\U0001d45b": "n",
    "\U0001d45c": "o",
    "\U0001d45d": "p",
    "\U0001d45e": "q",
    "\U0001d45f": "r",
    "\U0001d460": "s",
    "\U0001d461": "t",
    "\U0001d462": "u",
    "\U0001d463": "v",
    "\U0001d464": "w",
    "\U0001d465": "x",
    "\U0001d466": "y",
    "\U0001d467": "z",
}

FUNC = {
    "sin": "\\sin({fe})",
    "cos": "\\cos({fe})",
    "tan": "\\tan({fe})",
    "arcsin": "\\arcsin({fe})",
    "arccos": "\\arccos({fe})",
    "arctan": "\\arctan({fe})",
    "arccot": "\\arccot({fe})",
    "sinh": "\\sinh({fe})",
    "cosh": "\\cosh({fe})",
    "tanh": "\\tanh({fe})",
    "coth": "\\coth({fe})",
    "sec": "\\sec({fe})",
    "csc": "\\csc({fe})",
    "mod": "\\mod {fe}",
    "max": "\\max({fe})",
    "min": "\\min({fe})",
}

FUNC_PLACE = "{fe}"

BRK = "\\\\"

CHR_DEFAULT = {
    "ACC_VAL": "\\hat{{{0}}}",
}

POS = {
    "top": "\\overline{{{0}}}",  # not sure
    "bot": "\\underline{{{0}}}",
}

POS_DEFAULT = {
    "BAR_VAL": "\\overline{{{0}}}",
}

SUB = "_{{{0}}}"

SUP = "^{{{0}}}"

F = {
    "bar": "\\frac{{{num}}}{{{den}}}",
    "skw": r"^{{{num}}}/_{{{den}}}",
    "noBar": "\\genfrac{{}}{{}}{{0pt}}{{}}{{{num}}}{{{den}}}",
    "lin": "{{{num}}}/{{{den}}}",
}
F_DEFAULT = "\\frac{{{num}}}{{{den}}}"

D = "\\left{left}{text}\\right{right}"

D_DEFAULT = {
    "left": "(",
    "right": ")",
    "null": ".",
}

RAD = "\\sqrt[{deg}]{{{text}}}"
RAD_DEFAULT = "\\sqrt{{{text}}}"
ARR = "{text}"

LIM_FUNC = {
    "lim": "\\lim_{{{lim}}}",
    "max": "\\max_{{{lim}}}",
    "min": "\\min_{{{lim}}}",
}

LIM_TO = ("\\rightarrow", "\\to")

LIM_UPP = "\\overset{{{lim}}}{{{text}}}"

M = "\\begin{{matrix}}{text}\\end{{matrix}}"