/usr/lib/python2.7/dist-packages/docutils/utils/math/latex2mathml.py is in python-docutils 0.12+dfsg-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 | #!/usr/bin/env python
# -*- coding: utf-8 -*-
# :Id: $Id: latex2mathml.py 7668 2013-06-04 12:46:30Z milde $
# :Copyright: © 2010 Günter Milde.
# Based on rst2mathml.py from the latex_math sandbox project
# © 2005 Jens Jørgen Mortensen
# :License: Released under the terms of the `2-Clause BSD license`_, in short:
#
# Copying and distribution of this file, with or without modification,
# are permitted in any medium without royalty provided the copyright
# notice and this notice are preserved.
# This file is offered as-is, without any warranty.
#
# .. _2-Clause BSD license: http://www.spdx.org/licenses/BSD-2-Clause
"""Convert LaTex math code into presentational MathML"""
# Based on the `latex_math` sandbox project by Jens Jørgen Mortensen
import docutils.utils.math.tex2unichar as tex2unichar
# TeX spacing combining
over = {'acute': u'\u00B4', # u'\u0301',
'bar': u'\u00AF', # u'\u0304',
'breve': u'\u02D8', # u'\u0306',
'check': u'\u02C7', # u'\u030C',
'dot': u'\u02D9', # u'\u0307',
'ddot': u'\u00A8', # u'\u0308',
'dddot': u'\u20DB',
'grave': u'`', # u'\u0300',
'hat': u'^', # u'\u0302',
'mathring': u'\u02DA', # u'\u030A',
'overleftrightarrow': u'\u20e1',
# 'overline': # u'\u0305',
'tilde': u'\u02DC', # u'\u0303',
'vec': u'\u20D7'}
Greek = { # Capital Greek letters: (upright in TeX style)
'Phi':u'\u03a6', 'Xi':u'\u039e', 'Sigma':u'\u03a3',
'Psi':u'\u03a8', 'Delta':u'\u0394', 'Theta':u'\u0398',
'Upsilon':u'\u03d2', 'Pi':u'\u03a0', 'Omega':u'\u03a9',
'Gamma':u'\u0393', 'Lambda':u'\u039b'}
letters = tex2unichar.mathalpha
special = tex2unichar.mathbin # Binary symbols
special.update(tex2unichar.mathrel) # Relation symbols, arrow symbols
special.update(tex2unichar.mathord) # Miscellaneous symbols
special.update(tex2unichar.mathop) # Variable-sized symbols
special.update(tex2unichar.mathopen) # Braces
special.update(tex2unichar.mathclose) # Braces
special.update(tex2unichar.mathfence)
sumintprod = ''.join([special[symbol] for symbol in
['sum', 'int', 'oint', 'prod']])
functions = ['arccos', 'arcsin', 'arctan', 'arg', 'cos', 'cosh',
'cot', 'coth', 'csc', 'deg', 'det', 'dim',
'exp', 'gcd', 'hom', 'inf', 'ker', 'lg',
'lim', 'liminf', 'limsup', 'ln', 'log', 'max',
'min', 'Pr', 'sec', 'sin', 'sinh', 'sup',
'tan', 'tanh',
'injlim', 'varinjlim', 'varlimsup',
'projlim', 'varliminf', 'varprojlim']
mathbb = {
'A': u'\U0001D538',
'B': u'\U0001D539',
'C': u'\u2102',
'D': u'\U0001D53B',
'E': u'\U0001D53C',
'F': u'\U0001D53D',
'G': u'\U0001D53E',
'H': u'\u210D',
'I': u'\U0001D540',
'J': u'\U0001D541',
'K': u'\U0001D542',
'L': u'\U0001D543',
'M': u'\U0001D544',
'N': u'\u2115',
'O': u'\U0001D546',
'P': u'\u2119',
'Q': u'\u211A',
'R': u'\u211D',
'S': u'\U0001D54A',
'T': u'\U0001D54B',
'U': u'\U0001D54C',
'V': u'\U0001D54D',
'W': u'\U0001D54E',
'X': u'\U0001D54F',
'Y': u'\U0001D550',
'Z': u'\u2124',
}
mathscr = {
'A': u'\U0001D49C',
'B': u'\u212C', # bernoulli function
'C': u'\U0001D49E',
'D': u'\U0001D49F',
'E': u'\u2130',
'F': u'\u2131',
'G': u'\U0001D4A2',
'H': u'\u210B', # hamiltonian
'I': u'\u2110',
'J': u'\U0001D4A5',
'K': u'\U0001D4A6',
'L': u'\u2112', # lagrangian
'M': u'\u2133', # physics m-matrix
'N': u'\U0001D4A9',
'O': u'\U0001D4AA',
'P': u'\U0001D4AB',
'Q': u'\U0001D4AC',
'R': u'\u211B',
'S': u'\U0001D4AE',
'T': u'\U0001D4AF',
'U': u'\U0001D4B0',
'V': u'\U0001D4B1',
'W': u'\U0001D4B2',
'X': u'\U0001D4B3',
'Y': u'\U0001D4B4',
'Z': u'\U0001D4B5',
'a': u'\U0001D4B6',
'b': u'\U0001D4B7',
'c': u'\U0001D4B8',
'd': u'\U0001D4B9',
'e': u'\u212F',
'f': u'\U0001D4BB',
'g': u'\u210A',
'h': u'\U0001D4BD',
'i': u'\U0001D4BE',
'j': u'\U0001D4BF',
'k': u'\U0001D4C0',
'l': u'\U0001D4C1',
'm': u'\U0001D4C2',
'n': u'\U0001D4C3',
'o': u'\u2134', # order of
'p': u'\U0001D4C5',
'q': u'\U0001D4C6',
'r': u'\U0001D4C7',
's': u'\U0001D4C8',
't': u'\U0001D4C9',
'u': u'\U0001D4CA',
'v': u'\U0001D4CB',
'w': u'\U0001D4CC',
'x': u'\U0001D4CD',
'y': u'\U0001D4CE',
'z': u'\U0001D4CF',
}
negatables = {'=': u'\u2260',
'\in': u'\u2209',
'\equiv': u'\u2262'}
# LaTeX to MathML translation stuff:
class math:
"""Base class for MathML elements."""
nchildren = 1000000
"""Required number of children"""
def __init__(self, children=None, inline=None):
"""math([children]) -> MathML element
children can be one child or a list of children."""
self.children = []
if children is not None:
if type(children) is list:
for child in children:
self.append(child)
else:
# Only one child:
self.append(children)
if inline is not None:
self.inline = inline
def __repr__(self):
if hasattr(self, 'children'):
return self.__class__.__name__ + '(%s)' % \
','.join([repr(child) for child in self.children])
else:
return self.__class__.__name__
def full(self):
"""Room for more children?"""
return len(self.children) >= self.nchildren
def append(self, child):
"""append(child) -> element
Appends child and returns self if self is not full or first
non-full parent."""
assert not self.full()
self.children.append(child)
child.parent = self
node = self
while node.full():
node = node.parent
return node
def delete_child(self):
"""delete_child() -> child
Delete last child and return it."""
child = self.children[-1]
del self.children[-1]
return child
def close(self):
"""close() -> parent
Close element and return first non-full element."""
parent = self.parent
while parent.full():
parent = parent.parent
return parent
def xml(self):
"""xml() -> xml-string"""
return self.xml_start() + self.xml_body() + self.xml_end()
def xml_start(self):
if not hasattr(self, 'inline'):
return ['<%s>' % self.__class__.__name__]
xmlns = 'http://www.w3.org/1998/Math/MathML'
if self.inline:
return ['<math xmlns="%s">' % xmlns]
else:
return ['<math xmlns="%s" mode="display">' % xmlns]
def xml_end(self):
return ['</%s>' % self.__class__.__name__]
def xml_body(self):
xml = []
for child in self.children:
xml.extend(child.xml())
return xml
class mrow(math):
def xml_start(self):
return ['\n<%s>' % self.__class__.__name__]
class mtable(math):
def xml_start(self):
return ['\n<%s>' % self.__class__.__name__]
class mtr(mrow): pass
class mtd(mrow): pass
class mx(math):
"""Base class for mo, mi, and mn"""
nchildren = 0
def __init__(self, data):
self.data = data
def xml_body(self):
return [self.data]
class mo(mx):
translation = {'<': '<', '>': '>'}
def xml_body(self):
return [self.translation.get(self.data, self.data)]
class mi(mx): pass
class mn(mx): pass
class msub(math):
nchildren = 2
class msup(math):
nchildren = 2
class msqrt(math):
nchildren = 1
class mroot(math):
nchildren = 2
class mfrac(math):
nchildren = 2
class msubsup(math):
nchildren = 3
def __init__(self, children=None, reversed=False):
self.reversed = reversed
math.__init__(self, children)
def xml(self):
if self.reversed:
## self.children[1:3] = self.children[2:0:-1]
self.children[1:3] = [self.children[2], self.children[1]]
self.reversed = False
return math.xml(self)
class mfenced(math):
translation = {'\\{': '{', '\\langle': u'\u2329',
'\\}': '}', '\\rangle': u'\u232A',
'.': ''}
def __init__(self, par):
self.openpar = par
math.__init__(self)
def xml_start(self):
open = self.translation.get(self.openpar, self.openpar)
close = self.translation.get(self.closepar, self.closepar)
return ['<mfenced open="%s" close="%s">' % (open, close)]
class mspace(math):
nchildren = 0
class mstyle(math):
def __init__(self, children=None, nchildren=None, **kwargs):
if nchildren is not None:
self.nchildren = nchildren
math.__init__(self, children)
self.attrs = kwargs
def xml_start(self):
return ['<mstyle '] + ['%s="%s"' % item
for item in self.attrs.items()] + ['>']
class mover(math):
nchildren = 2
def __init__(self, children=None, reversed=False):
self.reversed = reversed
math.__init__(self, children)
def xml(self):
if self.reversed:
self.children.reverse()
self.reversed = False
return math.xml(self)
class munder(math):
nchildren = 2
class munderover(math):
nchildren = 3
def __init__(self, children=None):
math.__init__(self, children)
class mtext(math):
nchildren = 0
def __init__(self, text):
self.text = text
def xml_body(self):
return [self.text]
def parse_latex_math(string, inline=True):
"""parse_latex_math(string [,inline]) -> MathML-tree
Returns a MathML-tree parsed from string. inline=True is for
inline math and inline=False is for displayed math.
tree is the whole tree and node is the current element."""
# Normalize white-space:
string = ' '.join(string.split())
if inline:
node = mrow()
tree = math(node, inline=True)
else:
node = mtd()
tree = math(mtable(mtr(node)), inline=False)
while len(string) > 0:
n = len(string)
c = string[0]
skip = 1 # number of characters consumed
if n > 1:
c2 = string[1]
else:
c2 = ''
## print n, string, c, c2, node.__class__.__name__
if c == ' ':
pass
elif c == '\\':
if c2 in '{}':
node = node.append(mo(c2))
skip = 2
elif c2 == ' ':
node = node.append(mspace())
skip = 2
elif c2 == ',': # TODO: small space
node = node.append(mspace())
skip = 2
elif c2.isalpha():
# We have a LaTeX-name:
i = 2
while i < n and string[i].isalpha():
i += 1
name = string[1:i]
node, skip = handle_keyword(name, node, string[i:])
skip += i
elif c2 == '\\':
# End of a row:
entry = mtd()
row = mtr(entry)
node.close().close().append(row)
node = entry
skip = 2
else:
raise SyntaxError(ur'Syntax error: "%s%s"' % (c, c2))
elif c.isalpha():
node = node.append(mi(c))
elif c.isdigit():
node = node.append(mn(c))
elif c in "+-*/=()[]|<>,.!?':;@":
node = node.append(mo(c))
elif c == '_':
child = node.delete_child()
if isinstance(child, msup):
sub = msubsup(child.children, reversed=True)
elif isinstance(child, mo) and child.data in sumintprod:
sub = munder(child)
else:
sub = msub(child)
node.append(sub)
node = sub
elif c == '^':
child = node.delete_child()
if isinstance(child, msub):
sup = msubsup(child.children)
elif isinstance(child, mo) and child.data in sumintprod:
sup = mover(child)
elif (isinstance(child, munder) and
child.children[0].data in sumintprod):
sup = munderover(child.children)
else:
sup = msup(child)
node.append(sup)
node = sup
elif c == '{':
row = mrow()
node.append(row)
node = row
elif c == '}':
node = node.close()
elif c == '&':
entry = mtd()
node.close().append(entry)
node = entry
else:
raise SyntaxError(ur'Illegal character: "%s"' % c)
string = string[skip:]
return tree
def handle_keyword(name, node, string):
skip = 0
if len(string) > 0 and string[0] == ' ':
string = string[1:]
skip = 1
if name == 'begin':
if not string.startswith('{matrix}'):
raise SyntaxError(u'Environment not supported! '
u'Supported environment: "matrix".')
skip += 8
entry = mtd()
table = mtable(mtr(entry))
node.append(table)
node = entry
elif name == 'end':
if not string.startswith('{matrix}'):
raise SyntaxError(ur'Expected "\end{matrix}"!')
skip += 8
node = node.close().close().close()
elif name in ('text', 'mathrm'):
if string[0] != '{':
raise SyntaxError(ur'Expected "\text{...}"!')
i = string.find('}')
if i == -1:
raise SyntaxError(ur'Expected "\text{...}"!')
node = node.append(mtext(string[1:i]))
skip += i + 1
elif name == 'sqrt':
sqrt = msqrt()
node.append(sqrt)
node = sqrt
elif name == 'frac':
frac = mfrac()
node.append(frac)
node = frac
elif name == 'left':
for par in ['(', '[', '|', '\\{', '\\langle', '.']:
if string.startswith(par):
break
else:
raise SyntaxError(u'Missing left-brace!')
fenced = mfenced(par)
node.append(fenced)
row = mrow()
fenced.append(row)
node = row
skip += len(par)
elif name == 'right':
for par in [')', ']', '|', '\\}', '\\rangle', '.']:
if string.startswith(par):
break
else:
raise SyntaxError(u'Missing right-brace!')
node = node.close()
node.closepar = par
node = node.close()
skip += len(par)
elif name == 'not':
for operator in negatables:
if string.startswith(operator):
break
else:
raise SyntaxError(ur'Expected something to negate: "\not ..."!')
node = node.append(mo(negatables[operator]))
skip += len(operator)
elif name == 'mathbf':
style = mstyle(nchildren=1, fontweight='bold')
node.append(style)
node = style
elif name == 'mathbb':
if string[0] != '{' or not string[1].isupper() or string[2] != '}':
raise SyntaxError(ur'Expected something like "\mathbb{A}"!')
node = node.append(mi(mathbb[string[1]]))
skip += 3
elif name in ('mathscr', 'mathcal'):
if string[0] != '{' or string[2] != '}':
raise SyntaxError(ur'Expected something like "\mathscr{A}"!')
node = node.append(mi(mathscr[string[1]]))
skip += 3
elif name == 'colon': # "normal" colon, not binary operator
node = node.append(mo(':')) # TODO: add ``lspace="0pt"``
elif name in Greek: # Greek capitals (upright in "TeX style")
node = node.append(mo(Greek[name]))
# TODO: "ISO style" sets them italic. Could we use a class argument
# to enable styling via CSS?
elif name in letters:
node = node.append(mi(letters[name]))
elif name in special:
node = node.append(mo(special[name]))
elif name in functions:
node = node.append(mo(name))
elif name in over:
ovr = mover(mo(over[name]), reversed=True)
node.append(ovr)
node = ovr
else:
raise SyntaxError(u'Unknown LaTeX command: ' + name)
return node, skip
|