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feat: translate equations to latex when running MSWord backend #825

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271 changes: 271 additions & 0 deletions docling/backend/docx_latex/latex_dict.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,271 @@
# -*- coding: utf-8 -*-

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

from __future__ import unicode_literals

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 = {
"\u2192": "\\rightarrow ",
# 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})",
}

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}}"
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