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PK!٥٥ math2html.pynu„[µü¤#! /usr/bin/env python3 # math2html: convert LaTeX equations to HTML output. # # Copyright (C) 2009-2011 Alex Fernández, 2021 Günter Milde # # 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: https://opensource.org/licenses/BSD-2-Clause # Based on eLyXer: convert LyX source files to HTML output. # http://alexfernandez.github.io/elyxer/ # Versions: # 1.2.5 2015-02-26 eLyXer standalone formula conversion to HTML. # 1.3 2021-06-02 Removed code for conversion of LyX files not # required for LaTeX math. # Support for more math commands from the AMS "math-guide". # 2.0 2021-12-31 Drop 2.7 compatibility code. import pathlib import sys import unicodedata from docutils.utils.math import tex2unichar __version__ = '1.3 (2021-06-02)' class Trace: "A tracing class" debugmode = False quietmode = False showlinesmode = False prefix = None def debug(cls, message): "Show a debug message" if not Trace.debugmode or Trace.quietmode: return Trace.show(message, sys.stdout) def message(cls, message): "Show a trace message" if Trace.quietmode: return if Trace.prefix and Trace.showlinesmode: message = Trace.prefix + message Trace.show(message, sys.stdout) def error(cls, message): "Show an error message" message = '* ' + message if Trace.prefix and Trace.showlinesmode: message = Trace.prefix + message Trace.show(message, sys.stderr) def fatal(cls, message): "Show an error message and terminate" Trace.error('FATAL: ' + message) exit(-1) def show(cls, message, channel): "Show a message out of a channel" channel.write(message + '\n') debug = classmethod(debug) message = classmethod(message) error = classmethod(error) fatal = classmethod(fatal) show = classmethod(show) class ContainerConfig: "Configuration class from elyxer.config file" extracttext = { 'allowed': ['FormulaConstant'], 'extracted': ['AlphaCommand', 'Bracket', 'BracketCommand', 'CombiningFunction', 'EmptyCommand', 'FontFunction', 'Formula', 'FormulaNumber', 'FormulaSymbol', 'OneParamFunction', 'OversetFunction', 'RawText', 'SpacedCommand', 'SymbolFunction', 'TextFunction', 'UndersetFunction', ], } class EscapeConfig: "Configuration class from elyxer.config file" chars = { '\n': '', "'": '’', '`': '‘', } entities = { '&': '&', '<': '<', '>': '>', } class FormulaConfig: "Configuration class from elyxer.config file" alphacommands = { '\\AmS': 'AmS', '\\AA': 'Ã…', '\\AE': 'Æ', '\\DH': 'Ã', '\\L': 'Å', '\\O': 'Ø', '\\OE': 'Å’', '\\TH': 'Þ', '\\aa': 'Ã¥', '\\ae': 'æ', '\\dh': 'ð', '\\i': 'ı', '\\j': 'È·', '\\l': 'Å‚', '\\o': 'ø', '\\oe': 'Å“', '\\ss': 'ß', '\\th': 'þ', } for key, value in tex2unichar.mathalpha.items(): alphacommands['\\'+key] = value array = { 'begin': r'\begin', 'cellseparator': '&', 'end': r'\end', 'rowseparator': r'\\', } bigbrackets = {'(': ['⎛', '⎜', 'âŽ'], ')': ['⎞', '⎟', '⎠'], '[': ['⎡', '⎢', '⎣'], ']': ['⎤', '⎥', '⎦'], '{': ['⎧', '⎪', '⎨', '⎩'], '}': ['⎫', '⎪', '⎬', '⎭'], # TODO: 2-row brackets with ⎰⎱ (\lmoustache \rmoustache) '|': ['|'], # 007C VERTICAL LINE # '|': ['⎮'], # 23AE INTEGRAL EXTENSION # '|': ['⎪'], # 23AA CURLY BRACKET EXTENSION '‖': ['‖'], # 2016 DOUBLE VERTICAL LINE # '∥': ['∥'], # 2225 PARALLEL TO } bracketcommands = { '\\left': 'span class="stretchy"', '\\left.': '', '\\middle': 'span class="stretchy"', '\\right': 'span class="stretchy"', '\\right.': '', } combiningfunctions = { "\\'": '\u0301', # xÌ '\\"': '\u0308', # ẍ '\\^': '\u0302', # xÌ‚ '\\`': '\u0300', # xÌ€ '\\~': '\u0303', # x̃ '\\c': '\u0327', # x̧ '\\r': '\u030a', # xÌŠ '\\s': '\u0329', # xÌ© '\\textcircled': '\u20dd', # x⃠'\\textsubring': '\u0325', # xÌ¥ '\\v': '\u030c', # xÌŒ } for key, value in tex2unichar.mathaccent.items(): combiningfunctions['\\'+key] = value commands = { '\\\\': '
', '\\\n': ' ', # escaped whitespace '\\\t': ' ', # escaped whitespace '\\centerdot': '\u2B1D', # BLACK VERY SMALL SQUARE, mathbin '\\colon': ': ', '\\copyright': '©', '\\dotminus': '∸', '\\dots': '…', '\\dotsb': '⋯', '\\dotsc': '…', '\\dotsi': '⋯', '\\dotsm': '⋯', '\\dotso': '…', '\\euro': '€', '\\guillemotleft': '«', '\\guillemotright': '»', '\\hbar': '\u0127', # ħ LATIN SMALL LETTER H WITH STROKE '\\lVert': '‖', '\\Arrowvert': '\u2016', # ‖ '\\lvert': '|', '\\newline': '
', '\\nobreakspace': ' ', '\\nolimits': '', '\\nonumber': '', '\\qquad': 'â€â€', '\\rVert': '‖', '\\rvert': '|', '\\textasciicircum': '^', '\\textasciitilde': '~', '\\textbackslash': '\\', '\\textcopyright': '©', '\\textdegree': '°', '\\textellipsis': '…', '\\textemdash': '—', '\\textendash': '—', '\\texteuro': '€', '\\textgreater': '>', '\\textless': '<', '\\textordfeminine': 'ª', '\\textordmasculine': 'º', '\\textquotedblleft': '“', '\\textquotedblright': 'â€', '\\textquoteright': '’', '\\textregistered': '®', '\\textrightarrow': '→', '\\textsection': '§', '\\texttrademark': 'â„¢', '\\texttwosuperior': '²', '\\textvisiblespace': ' ', '\\thickspace': ' ', # 5/13 em '\\;': ' ', # 5/13 em '\\triangle': '\u25B3', # WHITE UP-POINTING TRIANGLE, mathord '\\triangledown': '\u25BD', # WHITE DOWN-POINTING TRIANGLE, mathord '\\varnothing': '\u2300', # ⌀ DIAMETER SIGN # functions '\\Pr': 'Pr', '\\arccos': 'arccos', '\\arcsin': 'arcsin', '\\arctan': 'arctan', '\\arg': 'arg', '\\cos': 'cos', '\\cosh': 'cosh', '\\cot': 'cot', '\\coth': 'coth', '\\csc': 'csc', '\\deg': 'deg', '\\det': 'det', '\\dim': 'dim', '\\exp': 'exp', '\\gcd': 'gcd', '\\hom': 'hom', '\\injlim': 'inj lim', '\\ker': 'ker', '\\lg': 'lg', '\\liminf': 'lim inf', '\\limsup': 'lim sup', '\\ln': 'ln', '\\log': 'log', '\\projlim': 'proj lim', '\\sec': 'sec', '\\sin': 'sin', '\\sinh': 'sinh', '\\tan': 'tan', '\\tanh': 'tanh', } cmddict = {} cmddict.update(tex2unichar.mathbin) # TODO: spacing around binary operators cmddict.update(tex2unichar.mathopen) cmddict.update(tex2unichar.mathclose) cmddict.update(tex2unichar.mathfence) cmddict.update(tex2unichar.mathord) cmddict.update(tex2unichar.mathpunct) cmddict.update(tex2unichar.space) commands.update(('\\' + key, value) for key, value in cmddict.items()) oversetfunctions = { # math accents (cf. combiningfunctions) # '\\acute': '´', '\\bar': '‒', # FIGURE DASH # '\\breve': '˘', # '\\check': 'ˇ', '\\dddot': '⋯', # '\\ddot': '··', # ¨ too high # '\\dot': '·', # '\\grave': '`', # '\\hat': '^', # '\\mathring': 'Ëš', # '\\tilde': '~', '\\vec': '→', # embellishments '\\overleftarrow': '⟵', '\\overleftrightarrow': '⟷', '\\overrightarrow': '⟶', '\\widehat': '^', '\\widetilde': '~', } undersetfunctions = { '\\underleftarrow': '⟵', '\\underleftrightarrow': '⟷', '\\underrightarrow': '⟶', } endings = { 'bracket': '}', 'complex': '\\]', 'endafter': '}', 'endbefore': '\\end{', 'squarebracket': ']', } environments = { 'align': ['r', 'l'], 'eqnarray': ['r', 'c', 'l'], 'gathered': ['l', 'l'], 'smallmatrix': ['c', 'c'], } fontfunctions = { '\\boldsymbol': 'b', '\\mathbb': 'span class="blackboard"', '\\mathbb{A}': 'ð”¸', '\\mathbb{B}': 'ð”¹', '\\mathbb{C}': 'â„‚', '\\mathbb{D}': 'ð”»', '\\mathbb{E}': 'ð”¼', '\\mathbb{F}': 'ð”½', '\\mathbb{G}': 'ð”¾', '\\mathbb{H}': 'â„', '\\mathbb{J}': 'ð•', '\\mathbb{K}': 'ð•‚', '\\mathbb{L}': 'ð•ƒ', '\\mathbb{N}': 'â„•', '\\mathbb{O}': 'ð•†', '\\mathbb{P}': 'â„™', '\\mathbb{Q}': 'ℚ', '\\mathbb{R}': 'â„', '\\mathbb{S}': 'ð•Š', '\\mathbb{T}': 'ð•‹', '\\mathbb{W}': 'ð•Ž', '\\mathbb{Z}': 'ℤ', '\\mathbf': 'b', '\\mathcal': 'span class="scriptfont"', '\\mathcal{B}': 'ℬ', '\\mathcal{E}': 'â„°', '\\mathcal{F}': 'ℱ', '\\mathcal{H}': 'â„‹', '\\mathcal{I}': 'â„', '\\mathcal{L}': 'â„’', '\\mathcal{M}': 'ℳ', '\\mathcal{R}': 'â„›', '\\mathfrak': 'span class="fraktur"', '\\mathfrak{C}': 'â„­', '\\mathfrak{F}': 'ð”‰', '\\mathfrak{H}': 'ℌ', '\\mathfrak{I}': 'â„‘', '\\mathfrak{R}': 'ℜ', '\\mathfrak{Z}': 'ℨ', '\\mathit': 'i', '\\mathring{A}': 'Ã…', '\\mathring{U}': 'Å®', '\\mathring{a}': 'Ã¥', '\\mathring{u}': 'ů', '\\mathring{w}': 'ẘ', '\\mathring{y}': 'ẙ', '\\mathrm': 'span class="mathrm"', '\\mathscr': 'span class="mathscr"', '\\mathscr{B}': 'ℬ', '\\mathscr{E}': 'â„°', '\\mathscr{F}': 'ℱ', '\\mathscr{H}': 'â„‹', '\\mathscr{I}': 'â„', '\\mathscr{L}': 'â„’', '\\mathscr{M}': 'ℳ', '\\mathscr{R}': 'â„›', '\\mathsf': 'span class="mathsf"', '\\mathtt': 'span class="mathtt"', '\\operatorname': 'span class="mathrm"', } hybridfunctions = { '\\addcontentsline': ['{$p!}{$q!}{$r!}', 'f0{}', 'ignored'], '\\addtocontents': ['{$p!}{$q!}', 'f0{}', 'ignored'], '\\backmatter': ['', 'f0{}', 'ignored'], '\\binom': ['{$1}{$2}', 'f2{(}f0{f1{$1}f1{$2}}f2{)}', 'span class="binom"', 'span class="binomstack"', 'span class="bigdelimiter size2"'], '\\boxed': ['{$1}', 'f0{$1}', 'span class="boxed"'], '\\cfrac': ['[$p!]{$1}{$2}', 'f0{f3{(}f1{$1}f3{)/(}f2{$2}f3{)}}', 'span class="fullfraction"', 'span class="numerator align-$p"', 'span class="denominator"', 'span class="ignored"'], '\\color': ['{$p!}{$1}', 'f0{$1}', 'span style="color: $p;"'], '\\colorbox': ['{$p!}{$1}', 'f0{$1}', 'span class="colorbox" style="background: $p;"'], '\\dbinom': ['{$1}{$2}', '(f0{f1{f2{$1}}f1{f2{ }}f1{f2{$2}}})', 'span class="binomial"', 'span class="binomrow"', 'span class="binomcell"'], '\\dfrac': ['{$1}{$2}', 'f0{f3{(}f1{$1}f3{)/(}f2{$2}f3{)}}', 'span class="fullfraction"', 'span class="numerator"', 'span class="denominator"', 'span class="ignored"'], '\\displaystyle': ['{$1}', 'f0{$1}', 'span class="displaystyle"'], '\\fancyfoot': ['[$p!]{$q!}', 'f0{}', 'ignored'], '\\fancyhead': ['[$p!]{$q!}', 'f0{}', 'ignored'], '\\fbox': ['{$1}', 'f0{$1}', 'span class="fbox"'], '\\fboxrule': ['{$p!}', 'f0{}', 'ignored'], '\\fboxsep': ['{$p!}', 'f0{}', 'ignored'], '\\fcolorbox': ['{$p!}{$q!}{$1}', 'f0{$1}', 'span class="boxed" style="border-color: $p; background: $q;"'], '\\frac': ['{$1}{$2}', 'f0{f3{(}f1{$1}f3{)/(}f2{$2}f3{)}}', 'span class="fraction"', 'span class="numerator"', 'span class="denominator"', 'span class="ignored"'], '\\framebox': ['[$p!][$q!]{$1}', 'f0{$1}', 'span class="framebox align-$q" style="width: $p;"'], '\\frontmatter': ['', 'f0{}', 'ignored'], '\\href': ['[$o]{$u!}{$t!}', 'f0{$t}', 'a href="$u"'], '\\hspace': ['{$p!}', 'f0{ }', 'span class="hspace" style="width: $p;"'], '\\leftroot': ['{$p!}', 'f0{ }', 'span class="leftroot" style="width: $p;px"'], # TODO: convert 1 mu to 1/18 em # '\\mspace': ['{$p!}', 'f0{ }', 'span class="hspace" style="width: $p;"'], '\\nicefrac': ['{$1}{$2}', 'f0{f1{$1}â„f2{$2}}', 'span class="fraction"', 'sup class="numerator"', 'sub class="denominator"', 'span class="ignored"'], '\\parbox': ['[$p!]{$w!}{$1}', 'f0{1}', 'div class="Boxed" style="width: $w;"'], '\\raisebox': ['{$p!}{$1}', 'f0{$1.font}', 'span class="raisebox" style="vertical-align: $p;"'], '\\renewenvironment': ['{$1!}{$2!}{$3!}', ''], '\\rule': ['[$v!]{$w!}{$h!}', 'f0/', 'hr class="line" style="width: $w; height: $h;"'], '\\scriptscriptstyle': ['{$1}', 'f0{$1}', 'span class="scriptscriptstyle"'], '\\scriptstyle': ['{$1}', 'f0{$1}', 'span class="scriptstyle"'], # TODO: increase √-size with argument (\frac in display mode, ...) '\\sqrt': ['[$0]{$1}', 'f0{f1{$0}f2{√}f4{(}f3{$1}f4{)}}', 'span class="sqrt"', 'sup class="root"', 'span class="radical"', 'span class="root"', 'span class="ignored"'], '\\stackrel': ['{$1}{$2}', 'f0{f1{$1}f2{$2}}', 'span class="stackrel"', 'span class="upstackrel"', 'span class="downstackrel"'], '\\tbinom': ['{$1}{$2}', '(f0{f1{f2{$1}}f1{f2{ }}f1{f2{$2}}})', 'span class="binomial"', 'span class="binomrow"', 'span class="binomcell"'], '\\tfrac': ['{$1}{$2}', 'f0{f3{(}f1{$1}f3{)/(}f2{$2}f3{)}}', 'span class="textfraction"', 'span class="numerator"', 'span class="denominator"', 'span class="ignored"'], '\\textcolor': ['{$p!}{$1}', 'f0{$1}', 'span style="color: $p;"'], '\\textstyle': ['{$1}', 'f0{$1}', 'span class="textstyle"'], '\\thispagestyle': ['{$p!}', 'f0{}', 'ignored'], '\\unit': ['[$0]{$1}', '$0f0{$1.font}', 'span class="unit"'], '\\unitfrac': ['[$0]{$1}{$2}', '$0f0{f1{$1.font}â„f2{$2.font}}', 'span class="fraction"', 'sup class="unit"', 'sub class="unit"'], '\\uproot': ['{$p!}', 'f0{ }', 'span class="uproot" style="width: $p;px"'], '\\url': ['{$u!}', 'f0{$u}', 'a href="$u"'], '\\vspace': ['{$p!}', 'f0{ }', 'span class="vspace" style="height: $p;"'], } hybridsizes = { '\\binom': '$1+$2', '\\cfrac': '$1+$2', '\\dbinom': '$1+$2+1', '\\dfrac': '$1+$2', '\\frac': '$1+$2', '\\tbinom': '$1+$2+1', } labelfunctions = { '\\label': 'a name="#"', } limitcommands = { '\\biginterleave': '⫼', '\\inf': 'inf', '\\lim': 'lim', '\\max': 'max', '\\min': 'min', '\\sup': 'sup', '\\ointop': '∮', '\\bigcap': 'â‹‚', '\\bigcup': '⋃', '\\bigodot': '⨀', '\\bigoplus': 'â¨', '\\bigotimes': '⨂', '\\bigsqcap': '⨅', '\\bigsqcup': '⨆', '\\biguplus': '⨄', '\\bigvee': 'â‹', '\\bigwedge': 'â‹€', '\\coprod': 'âˆ', '\\intop': '∫', '\\prod': 'âˆ', '\\sum': '∑', '\\varprod': '⨉', '\\zcmp': '⨟', '\\zhide': 'â§¹', '\\zpipe': '⨠', '\\zproject': '⨡', # integrals have limits in index position with LaTeX default settings # TODO: move to commands? '\\int': '∫', '\\iint': '∬', '\\iiint': '∭', '\\iiiint': '⨌', '\\fint': 'â¨', '\\idotsint': '∫⋯∫', '\\oint': '∮', '\\oiint': '∯', '\\oiiint': '∰', '\\ointclockwise': '∲', '\\ointctrclockwise': '∳', '\\smallint': '∫', '\\sqint': '⨖', '\\varointclockwise': '∲', } modified = { '\n': '', ' ': '', '$': '', '&': ' ', '\'': '’', '+': '\u2009+\u2009', ',': ',\u2009', '-': '\u2009−\u2009', '/': '\u2009â„\u2009', ':': ' : ', '<': '\u2009<\u2009', '=': '\u2009=\u2009', '>': '\u2009>\u2009', '@': '', '~': '\u00a0', } onefunctions = { '\\big': 'span class="bigdelimiter size1"', '\\bigl': 'span class="bigdelimiter size1"', '\\bigr': 'span class="bigdelimiter size1"', '\\Big': 'span class="bigdelimiter size2"', '\\Bigl': 'span class="bigdelimiter size2"', '\\Bigr': 'span class="bigdelimiter size2"', '\\bigg': 'span class="bigdelimiter size3"', '\\biggl': 'span class="bigdelimiter size3"', '\\biggr': 'span class="bigdelimiter size3"', '\\Bigg': 'span class="bigdelimiter size4"', '\\Biggl': 'span class="bigdelimiter size4"', '\\Biggr': 'span class="bigdelimiter size4"', # '\\bar': 'span class="bar"', '\\begin{array}': 'span class="arraydef"', '\\centering': 'span class="align-center"', '\\ensuremath': 'span class="ensuremath"', '\\hphantom': 'span class="phantom"', '\\noindent': 'span class="noindent"', '\\overbrace': 'span class="overbrace"', '\\overline': 'span class="overline"', '\\phantom': 'span class="phantom"', '\\underbrace': 'span class="underbrace"', '\\underline': '', '\\vphantom': 'span class="phantom"', } # relations (put additional space before and after the symbol) spacedcommands = { # negated symbols without pre-composed Unicode character '\\nleqq': '\u2266\u0338', # ≦̸ '\\ngeqq': '\u2267\u0338', # ≧̸ '\\nleqslant': '\u2a7d\u0338', # ⩽̸ '\\ngeqslant': '\u2a7e\u0338', # ⩾̸ '\\nsubseteqq': '\u2AC5\u0338', # ⫅̸ '\\nsupseteqq': '\u2AC6\u0338', # ⫆̸ '\\nsqsubset': '\u2276\u228F', # âŠÌ¸ # modified glyphs '\\shortmid': '∣', '\\shortparallel': '∥', '\\nshortmid': '∤', '\\nshortparallel': '∦', '\\smallfrown': '⌢', '\\smallsmile': '⌣', '\\thickapprox': '≈', '\\thicksim': '∼', '\\varpropto': '\u221d', # ∠PROPORTIONAL TO } for key, value in tex2unichar.mathrel.items(): spacedcommands['\\'+key] = value starts = { 'beginafter': '}', 'beginbefore': '\\begin{', 'bracket': '{', 'command': '\\', 'comment': '%', 'complex': '\\[', 'simple': '$', 'squarebracket': '[', 'unnumbered': '*', } symbolfunctions = { '^': 'sup', '_': 'sub', } textfunctions = { '\\mbox': 'span class="mbox"', '\\text': 'span class="text"', '\\textbf': 'span class="textbf"', '\\textit': 'span class="textit"', '\\textnormal': 'span class="textnormal"', '\\textrm': 'span class="textrm"', '\\textsc': 'span class="textsc"', '\\textsf': 'span class="textsf"', '\\textsl': 'span class="textsl"', '\\texttt': 'span class="texttt"', '\\textup': 'span class="normal"', } unmodified = { 'characters': ['.', '*', '€', '(', ')', '[', ']', '·', '!', ';', '|', '§', '"', '?'], } class CommandLineParser: "A parser for runtime options" def __init__(self, options): self.options = options def parseoptions(self, args): "Parse command line options" if len(args) == 0: return None while len(args) > 0 and args[0].startswith('--'): key, value = self.readoption(args) if not key: return 'Option ' + value + ' not recognized' if not value: return 'Option ' + key + ' needs a value' setattr(self.options, key, value) return None def readoption(self, args): "Read the key and value for an option" arg = args[0][2:] del args[0] if '=' in arg: key = self.readequalskey(arg, args) else: key = arg.replace('-', '') if not hasattr(self.options, key): return None, key current = getattr(self.options, key) if isinstance(current, bool): return key, True # read value if len(args) == 0: return key, None if args[0].startswith('"'): initial = args[0] del args[0] return key, self.readquoted(args, initial) value = args[0].decode('utf-8') del args[0] if isinstance(current, list): current.append(value) return key, current return key, value def readquoted(self, args, initial): "Read a value between quotes" Trace.error('Oops') value = initial[1:] while len(args) > 0 and not args[0].endswith('"') and not args[0].startswith('--'): Trace.error('Appending ' + args[0]) value += ' ' + args[0] del args[0] if len(args) == 0 or args[0].startswith('--'): return None value += ' ' + args[0:-1] return value def readequalskey(self, arg, args): "Read a key using equals" split = arg.split('=', 1) key = split[0] value = split[1] args.insert(0, value) return key class Options: "A set of runtime options" location = None debug = False quiet = False version = False help = False simplemath = False showlines = True branches = {} def parseoptions(self, args): "Parse command line options" Options.location = args[0] del args[0] parser = CommandLineParser(Options) result = parser.parseoptions(args) if result: Trace.error(result) self.usage() self.processoptions() def processoptions(self): "Process all options parsed." if Options.help: self.usage() if Options.version: self.showversion() # set in Trace if necessary for param in dir(Trace): if param.endswith('mode'): setattr(Trace, param, getattr(self, param[:-4])) def usage(self): "Show correct usage" Trace.error(f'Usage: {pathlib.Path(Options.location).parent}' ' [options] "input string"') Trace.error('Convert input string with LaTeX math to MathML') self.showoptions() def showoptions(self): "Show all possible options" Trace.error(' --help: show this online help') Trace.error(' --quiet: disables all runtime messages') Trace.error(' --debug: enable debugging messages (for developers)') Trace.error(' --version: show version number and release date') Trace.error(' --simplemath: do not generate fancy math constructions') sys.exit() def showversion(self): "Return the current eLyXer version string" Trace.error('math2html '+__version__) sys.exit() class Cloner: "An object used to clone other objects." def clone(cls, original): "Return an exact copy of an object." "The original object must have an empty constructor." return cls.create(original.__class__) def create(cls, type): "Create an object of a given class." clone = type.__new__(type) clone.__init__() return clone clone = classmethod(clone) create = classmethod(create) class ContainerExtractor: """A class to extract certain containers. The config parameter is a map containing three lists: allowed, copied and extracted. Each of the three is a list of class names for containers. Allowed containers are included as is into the result. Cloned containers are cloned and placed into the result. Extracted containers are looked into. All other containers are silently ignored. """ def __init__(self, config): self.allowed = config['allowed'] self.extracted = config['extracted'] def extract(self, container): "Extract a group of selected containers from a container." list = [] locate = lambda c: c.__class__.__name__ in self.allowed recursive = lambda c: c.__class__.__name__ in self.extracted process = lambda c: self.process(c, list) container.recursivesearch(locate, recursive, process) return list def process(self, container, list): "Add allowed containers." name = container.__class__.__name__ if name in self.allowed: list.append(container) else: Trace.error('Unknown container class ' + name) def safeclone(self, container): "Return a new container with contents only in a safe list, recursively." clone = Cloner.clone(container) clone.output = container.output clone.contents = self.extract(container) return clone class Parser: "A generic parser" def __init__(self): self.begin = 0 self.parameters = {} def parseheader(self, reader): "Parse the header" header = reader.currentline().split() reader.nextline() self.begin = reader.linenumber return header def parseparameter(self, reader): "Parse a parameter" split = reader.currentline().strip().split(' ', 1) reader.nextline() if len(split) == 0: return key = split[0] if len(split) == 1: self.parameters[key] = True return if '"' not in split[1]: self.parameters[key] = split[1].strip() return doublesplit = split[1].split('"') self.parameters[key] = doublesplit[1] def parseending(self, reader, process): "Parse until the current ending is found" if not self.ending: Trace.error('No ending for ' + str(self)) return while not reader.currentline().startswith(self.ending): process() def parsecontainer(self, reader, contents): container = self.factory.createcontainer(reader) if container: container.parent = self.parent contents.append(container) def __str__(self): "Return a description" return self.__class__.__name__ + ' (' + str(self.begin) + ')' class LoneCommand(Parser): "A parser for just one command line" def parse(self, reader): "Read nothing" return [] class TextParser(Parser): "A parser for a command and a bit of text" stack = [] def __init__(self, container): Parser.__init__(self) self.ending = None if container.__class__.__name__ in ContainerConfig.endings: self.ending = ContainerConfig.endings[container.__class__.__name__] self.endings = [] def parse(self, reader): "Parse lines as long as they are text" TextParser.stack.append(self.ending) self.endings = TextParser.stack + [ContainerConfig.endings['Layout'], ContainerConfig.endings['Inset'], self.ending] contents = [] while not self.isending(reader): self.parsecontainer(reader, contents) return contents def isending(self, reader): "Check if text is ending" current = reader.currentline().split() if len(current) == 0: return False if current[0] in self.endings: if current[0] in TextParser.stack: TextParser.stack.remove(current[0]) else: TextParser.stack = [] return True return False class ExcludingParser(Parser): "A parser that excludes the final line" def parse(self, reader): "Parse everything up to (and excluding) the final line" contents = [] self.parseending(reader, lambda: self.parsecontainer(reader, contents)) return contents class BoundedParser(ExcludingParser): "A parser bound by a final line" def parse(self, reader): "Parse everything, including the final line" contents = ExcludingParser.parse(self, reader) # skip last line reader.nextline() return contents class BoundedDummy(Parser): "A bound parser that ignores everything" def parse(self, reader): "Parse the contents of the container" self.parseending(reader, lambda: reader.nextline()) # skip last line reader.nextline() return [] class StringParser(Parser): "Parses just a string" def parseheader(self, reader): "Do nothing, just take note" self.begin = reader.linenumber + 1 return [] def parse(self, reader): "Parse a single line" contents = reader.currentline() reader.nextline() return contents class ContainerOutput: "The generic HTML output for a container." def gethtml(self, container): "Show an error." Trace.error('gethtml() not implemented for ' + str(self)) def isempty(self): "Decide if the output is empty: by default, not empty." return False class EmptyOutput(ContainerOutput): def gethtml(self, container): "Return empty HTML code." return [] def isempty(self): "This output is particularly empty." return True class FixedOutput(ContainerOutput): "Fixed output" def gethtml(self, container): "Return constant HTML code" return container.html class ContentsOutput(ContainerOutput): "Outputs the contents converted to HTML" def gethtml(self, container): "Return the HTML code" html = [] if container.contents is None: return html for element in container.contents: if not hasattr(element, 'gethtml'): Trace.error('No html in ' + element.__class__.__name__ + ': ' + str(element)) return html html += element.gethtml() return html class TaggedOutput(ContentsOutput): "Outputs an HTML tag surrounding the contents." tag = None breaklines = False empty = False def settag(self, tag, breaklines=False, empty=False): "Set the value for the tag and other attributes." self.tag = tag if breaklines: self.breaklines = breaklines if empty: self.empty = empty return self def setbreaklines(self, breaklines): "Set the value for breaklines." self.breaklines = breaklines return self def gethtml(self, container): "Return the HTML code." if self.empty: return [self.selfclosing(container)] html = [self.open(container)] html += ContentsOutput.gethtml(self, container) html.append(self.close(container)) return html def open(self, container): "Get opening line." if not self.checktag(container): return '' open = '<' + self.tag + '>' if self.breaklines: return open + '\n' return open def close(self, container): "Get closing line." if not self.checktag(container): return '' close = '' if self.breaklines: return '\n' + close + '\n' return close def selfclosing(self, container): "Get self-closing line." if not self.checktag(container): return '' selfclosing = '<' + self.tag + '/>' if self.breaklines: return selfclosing + '\n' return selfclosing def checktag(self, container): "Check that the tag is valid." if not self.tag: Trace.error('No tag in ' + str(container)) return False if self.tag == '': return False return True class FilteredOutput(ContentsOutput): "Returns the output in the contents, but filtered:" "some strings are replaced by others." def __init__(self): "Initialize the filters." self.filters = [] def addfilter(self, original, replacement): "Add a new filter: replace the original by the replacement." self.filters.append((original, replacement)) def gethtml(self, container): "Return the HTML code" result = [] html = ContentsOutput.gethtml(self, container) for line in html: result.append(self.filter(line)) return result def filter(self, line): "Filter a single line with all available filters." for original, replacement in self.filters: if original in line: line = line.replace(original, replacement) return line class StringOutput(ContainerOutput): "Returns a bare string as output" def gethtml(self, container): "Return a bare string" return [container.string] class Globable: """A bit of text which can be globbed (lumped together in bits). Methods current(), skipcurrent(), checkfor() and isout() have to be implemented by subclasses.""" leavepending = False def __init__(self): self.endinglist = EndingList() def checkbytemark(self): "Check for a Unicode byte mark and skip it." if self.finished(): return if ord(self.current()) == 0xfeff: self.skipcurrent() def isout(self): "Find out if we are out of the position yet." Trace.error('Unimplemented isout()') return True def current(self): "Return the current character." Trace.error('Unimplemented current()') return '' def checkfor(self, string): "Check for the given string in the current position." Trace.error('Unimplemented checkfor()') return False def finished(self): "Find out if the current text has finished." if self.isout(): if not self.leavepending: self.endinglist.checkpending() return True return self.endinglist.checkin(self) def skipcurrent(self): "Return the current character and skip it." Trace.error('Unimplemented skipcurrent()') return '' def glob(self, currentcheck): "Glob a bit of text that satisfies a check on the current char." glob = '' while not self.finished() and currentcheck(): glob += self.skipcurrent() return glob def globalpha(self): "Glob a bit of alpha text" return self.glob(lambda: self.current().isalpha()) def globnumber(self): "Glob a row of digits." return self.glob(lambda: self.current().isdigit()) def isidentifier(self): "Return if the current character is alphanumeric or _." if self.current().isalnum() or self.current() == '_': return True return False def globidentifier(self): "Glob alphanumeric and _ symbols." return self.glob(self.isidentifier) def isvalue(self): "Return if the current character is a value character:" "not a bracket or a space." if self.current().isspace(): return False if self.current() in '{}()': return False return True def globvalue(self): "Glob a value: any symbols but brackets." return self.glob(self.isvalue) def skipspace(self): "Skip all whitespace at current position." return self.glob(lambda: self.current().isspace()) def globincluding(self, magicchar): "Glob a bit of text up to (including) the magic char." glob = self.glob(lambda: self.current() != magicchar) + magicchar self.skip(magicchar) return glob def globexcluding(self, excluded): "Glob a bit of text up until (excluding) any excluded character." return self.glob(lambda: self.current() not in excluded) def pushending(self, ending, optional=False): "Push a new ending to the bottom" self.endinglist.add(ending, optional) def popending(self, expected=None): "Pop the ending found at the current position" if self.isout() and self.leavepending: return expected ending = self.endinglist.pop(self) if expected and expected != ending: Trace.error('Expected ending ' + expected + ', got ' + ending) self.skip(ending) return ending def nextending(self): "Return the next ending in the queue." nextending = self.endinglist.findending(self) if not nextending: return None return nextending.ending class EndingList: "A list of position endings" def __init__(self): self.endings = [] def add(self, ending, optional=False): "Add a new ending to the list" self.endings.append(PositionEnding(ending, optional)) def pickpending(self, pos): "Pick any pending endings from a parse position." self.endings += pos.endinglist.endings def checkin(self, pos): "Search for an ending" if self.findending(pos): return True return False def pop(self, pos): "Remove the ending at the current position" if pos.isout(): Trace.error('No ending out of bounds') return '' ending = self.findending(pos) if not ending: Trace.error('No ending at ' + pos.current()) return '' for each in reversed(self.endings): self.endings.remove(each) if each == ending: return each.ending elif not each.optional: Trace.error('Removed non-optional ending ' + each) Trace.error('No endings left') return '' def findending(self, pos): "Find the ending at the current position" if len(self.endings) == 0: return None for index, ending in enumerate(reversed(self.endings)): if ending.checkin(pos): return ending if not ending.optional: return None return None def checkpending(self): "Check if there are any pending endings" if len(self.endings) != 0: Trace.error('Pending ' + str(self) + ' left open') def __str__(self): "Printable representation" string = 'endings [' for ending in self.endings: string += str(ending) + ',' if len(self.endings) > 0: string = string[:-1] return string + ']' class PositionEnding: "An ending for a parsing position" def __init__(self, ending, optional): self.ending = ending self.optional = optional def checkin(self, pos): "Check for the ending" return pos.checkfor(self.ending) def __str__(self): "Printable representation" string = 'Ending ' + self.ending if self.optional: string += ' (optional)' return string class Position(Globable): """A position in a text to parse. Including those in Globable, functions to implement by subclasses are: skip(), identifier(), extract(), isout() and current().""" def __init__(self): Globable.__init__(self) def skip(self, string): "Skip a string" Trace.error('Unimplemented skip()') def identifier(self): "Return an identifier for the current position." Trace.error('Unimplemented identifier()') return 'Error' def extract(self, length): "Extract the next string of the given length, or None if not enough text," "without advancing the parse position." Trace.error('Unimplemented extract()') return None def checkfor(self, string): "Check for a string at the given position." return string == self.extract(len(string)) def checkforlower(self, string): "Check for a string in lower case." extracted = self.extract(len(string)) if not extracted: return False return string.lower() == self.extract(len(string)).lower() def skipcurrent(self): "Return the current character and skip it." current = self.current() self.skip(current) return current def __next__(self): "Advance the position and return the next character." self.skipcurrent() return self.current() def checkskip(self, string): "Check for a string at the given position; if there, skip it" if not self.checkfor(string): return False self.skip(string) return True def error(self, message): "Show an error message and the position identifier." Trace.error(message + ': ' + self.identifier()) class TextPosition(Position): "A parse position based on a raw text." def __init__(self, text): "Create the position from some text." Position.__init__(self) self.pos = 0 self.text = text self.checkbytemark() def skip(self, string): "Skip a string of characters." self.pos += len(string) def identifier(self): "Return a sample of the remaining text." length = 30 if self.pos + length > len(self.text): length = len(self.text) - self.pos return '*' + self.text[self.pos:self.pos + length] + '*' def isout(self): "Find out if we are out of the text yet." return self.pos >= len(self.text) def current(self): "Return the current character, assuming we are not out." return self.text[self.pos] def extract(self, length): "Extract the next string of the given length, or None if not enough text." if self.pos + length > len(self.text): return None return self.text[self.pos : self.pos + length] # noqa: E203 class Container: "A container for text and objects in a lyx file" partkey = None parent = None begin = None def __init__(self): self.contents = list() def process(self): "Process contents" pass def gethtml(self): "Get the resulting HTML" html = self.output.gethtml(self) if isinstance(html, str): Trace.error('Raw string ' + html) html = [html] return html def escape(self, line, replacements=EscapeConfig.entities): "Escape a line with replacements from a map" pieces = sorted(replacements.keys()) # do them in order for piece in pieces: if piece in line: line = line.replace(piece, replacements[piece]) return line def escapeentities(self, line): "Escape all Unicode characters to HTML entities." result = '' pos = TextPosition(line) while not pos.finished(): if ord(pos.current()) > 128: codepoint = hex(ord(pos.current())) if codepoint == '0xd835': codepoint = hex(ord(next(pos)) + 0xf800) result += '&#' + codepoint[1:] + ';' else: result += pos.current() pos.skipcurrent() return result def searchall(self, type): "Search for all embedded containers of a given type" list = [] self.searchprocess(type, lambda container: list.append(container)) return list def searchremove(self, type): "Search for all containers of a type and remove them" list = self.searchall(type) for container in list: container.parent.contents.remove(container) return list def searchprocess(self, type, process): "Search for elements of a given type and process them" self.locateprocess(lambda container: isinstance(container, type), process) def locateprocess(self, locate, process): "Search for all embedded containers and process them" for container in self.contents: container.locateprocess(locate, process) if locate(container): process(container) def recursivesearch(self, locate, recursive, process): "Perform a recursive search in the container." for container in self.contents: if recursive(container): container.recursivesearch(locate, recursive, process) if locate(container): process(container) def extracttext(self): "Extract all text from allowed containers." constants = ContainerExtractor(ContainerConfig.extracttext).extract(self) return ''.join(constant.string for constant in constants) def group(self, index, group, isingroup): "Group some adjoining elements into a group" if index >= len(self.contents): return if hasattr(self.contents[index], 'grouped'): return while index < len(self.contents) and isingroup(self.contents[index]): self.contents[index].grouped = True group.contents.append(self.contents[index]) self.contents.pop(index) self.contents.insert(index, group) def remove(self, index): "Remove a container but leave its contents" container = self.contents[index] self.contents.pop(index) while len(container.contents) > 0: self.contents.insert(index, container.contents.pop()) def tree(self, level=0): "Show in a tree" Trace.debug(" " * level + str(self)) for container in self.contents: container.tree(level + 1) def getparameter(self, name): "Get the value of a parameter, if present." if name not in self.parameters: return None return self.parameters[name] def getparameterlist(self, name): "Get the value of a comma-separated parameter as a list." paramtext = self.getparameter(name) if not paramtext: return [] return paramtext.split(',') def hasemptyoutput(self): "Check if the parent's output is empty." current = self.parent while current: if current.output.isempty(): return True current = current.parent return False def __str__(self): "Get a description" if not self.begin: return self.__class__.__name__ return self.__class__.__name__ + '@' + str(self.begin) class BlackBox(Container): "A container that does not output anything" def __init__(self): self.parser = LoneCommand() self.output = EmptyOutput() self.contents = [] class StringContainer(Container): "A container for a single string" parsed = None def __init__(self): self.parser = StringParser() self.output = StringOutput() self.string = '' def process(self): "Replace special chars from the contents." if self.parsed: self.string = self.replacespecial(self.parsed) self.parsed = None def replacespecial(self, line): "Replace all special chars from a line" replaced = self.escape(line, EscapeConfig.entities) replaced = self.changeline(replaced) if ContainerConfig.string['startcommand'] in replaced and len(replaced) > 1: # unprocessed commands if self.begin: message = 'Unknown command at ' + str(self.begin) + ': ' else: message = 'Unknown command: ' Trace.error(message + replaced.strip()) return replaced def changeline(self, line): return self.escape(line, EscapeConfig.chars) def extracttext(self): "Return all text." return self.string def __str__(self): "Return a printable representation." result = 'StringContainer' if self.begin: result += '@' + str(self.begin) ellipsis = '...' if len(self.string.strip()) <= 15: ellipsis = '' return result + ' (' + self.string.strip()[:15] + ellipsis + ')' class Constant(StringContainer): "A constant string" def __init__(self, text): self.contents = [] self.string = text self.output = StringOutput() def __str__(self): return 'Constant: ' + self.string class DocumentParameters: "Global parameters for the document." displaymode = False class FormulaParser(Parser): "Parses a formula" def parseheader(self, reader): "See if the formula is inlined" self.begin = reader.linenumber + 1 type = self.parsetype(reader) if not type: reader.nextline() type = self.parsetype(reader) if not type: Trace.error('Unknown formula type in ' + reader.currentline().strip()) return ['unknown'] return [type] def parsetype(self, reader): "Get the formula type from the first line." if reader.currentline().find(FormulaConfig.starts['simple']) >= 0: return 'inline' if reader.currentline().find(FormulaConfig.starts['complex']) >= 0: return 'block' if reader.currentline().find(FormulaConfig.starts['unnumbered']) >= 0: return 'block' if reader.currentline().find(FormulaConfig.starts['beginbefore']) >= 0: return 'numbered' return None def parse(self, reader): "Parse the formula until the end" formula = self.parseformula(reader) while not reader.currentline().startswith(self.ending): stripped = reader.currentline().strip() if len(stripped) > 0: Trace.error('Unparsed formula line ' + stripped) reader.nextline() reader.nextline() return formula def parseformula(self, reader): "Parse the formula contents" simple = FormulaConfig.starts['simple'] if simple in reader.currentline(): rest = reader.currentline().split(simple, 1)[1] if simple in rest: # formula is $...$ return self.parsesingleliner(reader, simple, simple) # formula is multiline $...$ return self.parsemultiliner(reader, simple, simple) if FormulaConfig.starts['complex'] in reader.currentline(): # formula of the form \[...\] return self.parsemultiliner(reader, FormulaConfig.starts['complex'], FormulaConfig.endings['complex']) beginbefore = FormulaConfig.starts['beginbefore'] beginafter = FormulaConfig.starts['beginafter'] if beginbefore in reader.currentline(): if reader.currentline().strip().endswith(beginafter): current = reader.currentline().strip() endsplit = current.split(beginbefore)[1].split(beginafter) startpiece = beginbefore + endsplit[0] + beginafter endbefore = FormulaConfig.endings['endbefore'] endafter = FormulaConfig.endings['endafter'] endpiece = endbefore + endsplit[0] + endafter return startpiece + self.parsemultiliner(reader, startpiece, endpiece) + endpiece Trace.error('Missing ' + beginafter + ' in ' + reader.currentline()) return '' begincommand = FormulaConfig.starts['command'] beginbracket = FormulaConfig.starts['bracket'] if begincommand in reader.currentline() and beginbracket in reader.currentline(): endbracket = FormulaConfig.endings['bracket'] return self.parsemultiliner(reader, beginbracket, endbracket) Trace.error('Formula beginning ' + reader.currentline() + ' is unknown') return '' def parsesingleliner(self, reader, start, ending): "Parse a formula in one line" line = reader.currentline().strip() if start not in line: Trace.error('Line ' + line + ' does not contain formula start ' + start) return '' if not line.endswith(ending): Trace.error('Formula ' + line + ' does not end with ' + ending) return '' index = line.index(start) rest = line[index + len(start):-len(ending)] reader.nextline() return rest def parsemultiliner(self, reader, start, ending): "Parse a formula in multiple lines" formula = '' line = reader.currentline() if start not in line: Trace.error('Line ' + line.strip() + ' does not contain formula start ' + start) return '' index = line.index(start) line = line[index + len(start):].strip() while not line.endswith(ending): formula += line + '\n' reader.nextline() line = reader.currentline() formula += line[:-len(ending)] reader.nextline() return formula class FormulaBit(Container): "A bit of a formula" type = None size = 1 original = '' def __init__(self): "The formula bit type can be 'alpha', 'number', 'font'." self.contents = [] self.output = ContentsOutput() def setfactory(self, factory): "Set the internal formula factory." self.factory = factory return self def add(self, bit): "Add any kind of formula bit already processed" self.contents.append(bit) self.original += bit.original bit.parent = self def skiporiginal(self, string, pos): "Skip a string and add it to the original formula" self.original += string if not pos.checkskip(string): Trace.error('String ' + string + ' not at ' + pos.identifier()) def computesize(self): "Compute the size of the bit as the max of the sizes of all contents." if len(self.contents) == 0: return 1 self.size = max(element.size for element in self.contents) return self.size def clone(self): "Return a copy of itself." return self.factory.parseformula(self.original) def __str__(self): "Get a string representation" return self.__class__.__name__ + ' read in ' + self.original class TaggedBit(FormulaBit): "A tagged string in a formula" def constant(self, constant, tag): "Set the constant and the tag" self.output = TaggedOutput().settag(tag) self.add(FormulaConstant(constant)) return self def complete(self, contents, tag, breaklines=False): "Set the constant and the tag" self.contents = contents self.output = TaggedOutput().settag(tag, breaklines) return self def selfcomplete(self, tag): "Set the self-closing tag, no contents (as in
)." self.output = TaggedOutput().settag(tag, empty=True) return self class FormulaConstant(Constant): "A constant string in a formula" def __init__(self, string): "Set the constant string" Constant.__init__(self, string) self.original = string self.size = 1 self.type = None def computesize(self): "Compute the size of the constant: always 1." return self.size def clone(self): "Return a copy of itself." return FormulaConstant(self.original) def __str__(self): "Return a printable representation." return 'Formula constant: ' + self.string class RawText(FormulaBit): "A bit of text inside a formula" def detect(self, pos): "Detect a bit of raw text" return pos.current().isalpha() def parsebit(self, pos): "Parse alphabetic text" alpha = pos.globalpha() self.add(FormulaConstant(alpha)) self.type = 'alpha' class FormulaSymbol(FormulaBit): "A symbol inside a formula" modified = FormulaConfig.modified unmodified = FormulaConfig.unmodified['characters'] def detect(self, pos): "Detect a symbol" if pos.current() in FormulaSymbol.unmodified: return True if pos.current() in FormulaSymbol.modified: return True return False def parsebit(self, pos): "Parse the symbol" if pos.current() in FormulaSymbol.unmodified: self.addsymbol(pos.current(), pos) return if pos.current() in FormulaSymbol.modified: self.addsymbol(FormulaSymbol.modified[pos.current()], pos) return Trace.error('Symbol ' + pos.current() + ' not found') def addsymbol(self, symbol, pos): "Add a symbol" self.skiporiginal(pos.current(), pos) self.contents.append(FormulaConstant(symbol)) class FormulaNumber(FormulaBit): "A string of digits in a formula" def detect(self, pos): "Detect a digit" return pos.current().isdigit() def parsebit(self, pos): "Parse a bunch of digits" digits = pos.glob(lambda: pos.current().isdigit()) self.add(FormulaConstant(digits)) self.type = 'number' class Comment(FormulaBit): "A LaTeX comment: % to the end of the line." start = FormulaConfig.starts['comment'] def detect(self, pos): "Detect the %." return pos.current() == self.start def parsebit(self, pos): "Parse to the end of the line." self.original += pos.globincluding('\n') class WhiteSpace(FormulaBit): "Some white space inside a formula." def detect(self, pos): "Detect the white space." return pos.current().isspace() def parsebit(self, pos): "Parse all whitespace." self.original += pos.skipspace() def __str__(self): "Return a printable representation." return 'Whitespace: *' + self.original + '*' class Bracket(FormulaBit): "A {} bracket inside a formula" start = FormulaConfig.starts['bracket'] ending = FormulaConfig.endings['bracket'] def __init__(self): "Create a (possibly literal) new bracket" FormulaBit.__init__(self) self.inner = None def detect(self, pos): "Detect the start of a bracket" return pos.checkfor(self.start) def parsebit(self, pos): "Parse the bracket" self.parsecomplete(pos, self.innerformula) return self def parsetext(self, pos): "Parse a text bracket" self.parsecomplete(pos, self.innertext) return self def parseliteral(self, pos): "Parse a literal bracket" self.parsecomplete(pos, self.innerliteral) return self def parsecomplete(self, pos, innerparser): "Parse the start and end marks" if not pos.checkfor(self.start): Trace.error('Bracket should start with ' + self.start + ' at ' + pos.identifier()) return None self.skiporiginal(self.start, pos) pos.pushending(self.ending) innerparser(pos) self.original += pos.popending(self.ending) self.computesize() def innerformula(self, pos): "Parse a whole formula inside the bracket" while not pos.finished(): self.add(self.factory.parseany(pos)) def innertext(self, pos): "Parse some text inside the bracket, following textual rules." specialchars = list(FormulaConfig.symbolfunctions.keys()) specialchars.append(FormulaConfig.starts['command']) specialchars.append(FormulaConfig.starts['bracket']) specialchars.append(Comment.start) while not pos.finished(): if pos.current() in specialchars: self.add(self.factory.parseany(pos)) if pos.checkskip(' '): self.original += ' ' else: self.add(FormulaConstant(pos.skipcurrent())) def innerliteral(self, pos): "Parse a literal inside the bracket, which does not generate HTML." self.literal = '' while not pos.finished() and not pos.current() == self.ending: if pos.current() == self.start: self.parseliteral(pos) else: self.literal += pos.skipcurrent() self.original += self.literal class SquareBracket(Bracket): "A [] bracket inside a formula" start = FormulaConfig.starts['squarebracket'] ending = FormulaConfig.endings['squarebracket'] def clone(self): "Return a new square bracket with the same contents." bracket = SquareBracket() bracket.contents = self.contents return bracket class MathsProcessor: "A processor for a maths construction inside the FormulaProcessor." def process(self, contents, index): "Process an element inside a formula." Trace.error('Unimplemented process() in ' + str(self)) def __str__(self): "Return a printable description." return 'Maths processor ' + self.__class__.__name__ class FormulaProcessor: "A processor specifically for formulas." processors = [] def process(self, bit): "Process the contents of every formula bit, recursively." self.processcontents(bit) self.processinsides(bit) self.traversewhole(bit) def processcontents(self, bit): "Process the contents of a formula bit." if not isinstance(bit, FormulaBit): return bit.process() for element in bit.contents: self.processcontents(element) def processinsides(self, bit): "Process the insides (limits, brackets) in a formula bit." if not isinstance(bit, FormulaBit): return for index, element in enumerate(bit.contents): for processor in self.processors: processor.process(bit.contents, index) # continue with recursive processing self.processinsides(element) def traversewhole(self, formula): "Traverse over the contents to alter variables and space units." last = None for bit, contents in self.traverse(formula): if bit.type == 'alpha': self.italicize(bit, contents) elif bit.type == 'font' and last and last.type == 'number': bit.contents.insert(0, FormulaConstant('\u2009')) last = bit def traverse(self, bit): "Traverse a formula and yield a flattened structure of (bit, list) pairs." for element in bit.contents: if hasattr(element, 'type') and element.type: yield element, bit.contents elif isinstance(element, FormulaBit): yield from self.traverse(element) def italicize(self, bit, contents): "Italicize the given bit of text." index = contents.index(bit) contents[index] = TaggedBit().complete([bit], 'i') class Formula(Container): "A LaTeX formula" def __init__(self): self.parser = FormulaParser() self.output = TaggedOutput().settag('span class="formula"') def process(self): "Convert the formula to tags" if self.header[0] == 'inline': DocumentParameters.displaymode = False else: DocumentParameters.displaymode = True self.output.settag('div class="formula"', True) self.classic() def classic(self): "Make the contents using classic output generation with XHTML and CSS." whole = FormulaFactory().parseformula(self.parsed) FormulaProcessor().process(whole) whole.parent = self self.contents = [whole] def parse(self, pos): "Parse using a parse position instead of self.parser." if pos.checkskip('$$'): self.parsedollarblock(pos) elif pos.checkskip('$'): self.parsedollarinline(pos) elif pos.checkskip('\\('): self.parseinlineto(pos, '\\)') elif pos.checkskip('\\['): self.parseblockto(pos, '\\]') else: pos.error('Unparseable formula') self.process() return self def parsedollarinline(self, pos): "Parse a $...$ formula." self.header = ['inline'] self.parsedollar(pos) def parsedollarblock(self, pos): "Parse a $$...$$ formula." self.header = ['block'] self.parsedollar(pos) if not pos.checkskip('$'): pos.error('Formula should be $$...$$, but last $ is missing.') def parsedollar(self, pos): "Parse to the next $." pos.pushending('$') self.parsed = pos.globexcluding('$') pos.popending('$') def parseinlineto(self, pos, limit): "Parse a \\(...\\) formula." self.header = ['inline'] self.parseupto(pos, limit) def parseblockto(self, pos, limit): "Parse a \\[...\\] formula." self.header = ['block'] self.parseupto(pos, limit) def parseupto(self, pos, limit): "Parse a formula that ends with the given command." pos.pushending(limit) self.parsed = pos.glob(lambda: True) pos.popending(limit) def __str__(self): "Return a printable representation." if self.partkey and self.partkey.number: return 'Formula (' + self.partkey.number + ')' return 'Unnumbered formula' class WholeFormula(FormulaBit): "Parse a whole formula" def detect(self, pos): "Not outside the formula is enough." return not pos.finished() def parsebit(self, pos): "Parse with any formula bit" while not pos.finished(): self.add(self.factory.parseany(pos)) class FormulaFactory: "Construct bits of formula" # bit types will be appended later types = [FormulaSymbol, RawText, FormulaNumber, Bracket, Comment, WhiteSpace] skippedtypes = [Comment, WhiteSpace] defining = False def __init__(self): "Initialize the map of instances." self.instances = {} def detecttype(self, type, pos): "Detect a bit of a given type." if pos.finished(): return False return self.instance(type).detect(pos) def instance(self, type): "Get an instance of the given type." if type not in self.instances or not self.instances[type]: self.instances[type] = self.create(type) return self.instances[type] def create(self, type): "Create a new formula bit of the given type." return Cloner.create(type).setfactory(self) def clearskipped(self, pos): "Clear any skipped types." while not pos.finished(): if not self.skipany(pos): return return def skipany(self, pos): "Skip any skipped types." for type in self.skippedtypes: if self.instance(type).detect(pos): return self.parsetype(type, pos) return None def parseany(self, pos): "Parse any formula bit at the current location." for type in self.types + self.skippedtypes: if self.detecttype(type, pos): return self.parsetype(type, pos) Trace.error('Unrecognized formula at ' + pos.identifier()) return FormulaConstant(pos.skipcurrent()) def parsetype(self, type, pos): "Parse the given type and return it." bit = self.instance(type) self.instances[type] = None returnedbit = bit.parsebit(pos) if returnedbit: return returnedbit.setfactory(self) return bit def parseformula(self, formula): "Parse a string of text that contains a whole formula." pos = TextPosition(formula) whole = self.create(WholeFormula) if whole.detect(pos): whole.parsebit(pos) return whole # no formula found if not pos.finished(): Trace.error('Unknown formula at: ' + pos.identifier()) whole.add(TaggedBit().constant(formula, 'span class="unknown"')) return whole class FormulaCommand(FormulaBit): "A LaTeX command inside a formula" types = [] start = FormulaConfig.starts['command'] commandmap = None def detect(self, pos): "Find the current command." return pos.checkfor(FormulaCommand.start) def parsebit(self, pos): "Parse the command." command = self.extractcommand(pos) bit = self.parsewithcommand(command, pos) if bit: return bit if command.startswith('\\up') or command.startswith('\\Up'): upgreek = self.parseupgreek(command, pos) if upgreek: return upgreek if not self.factory.defining: Trace.error('Unknown command ' + command) self.output = TaggedOutput().settag('span class="unknown"') self.add(FormulaConstant(command)) return None def parsewithcommand(self, command, pos): "Parse the command type once we have the command." for type in FormulaCommand.types: if command in type.commandmap: return self.parsecommandtype(command, type, pos) return None def parsecommandtype(self, command, type, pos): "Parse a given command type." bit = self.factory.create(type) bit.setcommand(command) returned = bit.parsebit(pos) if returned: return returned return bit def extractcommand(self, pos): "Extract the command from the current position." if not pos.checkskip(FormulaCommand.start): pos.error('Missing command start ' + FormulaCommand.start) return if pos.finished(): return self.emptycommand(pos) if pos.current().isalpha(): # alpha command command = FormulaCommand.start + pos.globalpha() # skip mark of short command pos.checkskip('*') return command # symbol command return FormulaCommand.start + pos.skipcurrent() def emptycommand(self, pos): """Check for an empty command: look for command disguised as ending. Special case against '{ \\{ \\} }' situation.""" command = '' if not pos.isout(): ending = pos.nextending() if ending and pos.checkskip(ending): command = ending return FormulaCommand.start + command def parseupgreek(self, command, pos): "Parse the Greek \\up command.." if len(command) < 4: return None if command.startswith('\\up'): upcommand = '\\' + command[3:] elif pos.checkskip('\\Up'): upcommand = '\\' + command[3:4].upper() + command[4:] else: Trace.error('Impossible upgreek command: ' + command) return upgreek = self.parsewithcommand(upcommand, pos) if upgreek: upgreek.type = 'font' return upgreek class CommandBit(FormulaCommand): "A formula bit that includes a command" def setcommand(self, command): "Set the command in the bit" self.command = command if self.commandmap: self.original += command self.translated = self.commandmap[self.command] def parseparameter(self, pos): "Parse a parameter at the current position" self.factory.clearskipped(pos) if pos.finished(): return None parameter = self.factory.parseany(pos) self.add(parameter) return parameter def parsesquare(self, pos): "Parse a square bracket" self.factory.clearskipped(pos) if not self.factory.detecttype(SquareBracket, pos): return None bracket = self.factory.parsetype(SquareBracket, pos) self.add(bracket) return bracket def parseliteral(self, pos): "Parse a literal bracket." self.factory.clearskipped(pos) if not self.factory.detecttype(Bracket, pos): if not pos.isvalue(): Trace.error('No literal parameter found at: ' + pos.identifier()) return None return pos.globvalue() bracket = Bracket().setfactory(self.factory) self.add(bracket.parseliteral(pos)) return bracket.literal def parsesquareliteral(self, pos): "Parse a square bracket literally." self.factory.clearskipped(pos) if not self.factory.detecttype(SquareBracket, pos): return None bracket = SquareBracket().setfactory(self.factory) self.add(bracket.parseliteral(pos)) return bracket.literal def parsetext(self, pos): "Parse a text parameter." self.factory.clearskipped(pos) if not self.factory.detecttype(Bracket, pos): Trace.error('No text parameter for ' + self.command) return None bracket = Bracket().setfactory(self.factory).parsetext(pos) self.add(bracket) return bracket class EmptyCommand(CommandBit): "An empty command (without parameters)" commandmap = FormulaConfig.commands def parsebit(self, pos): "Parse a command without parameters" self.contents = [FormulaConstant(self.translated)] class SpacedCommand(CommandBit): """An empty command which should have math spacing in formulas.""" commandmap = FormulaConfig.spacedcommands def parsebit(self, pos): "Place as contents the command translated and spaced." # pad with MEDIUM MATHEMATICAL SPACE (4/18 em): too wide in STIX fonts :( # self.contents = [FormulaConstant('\u205f' + self.translated + '\u205f')] # pad with THIN SPACE (1/5 em) self.contents = [FormulaConstant('\u2009' + self.translated + '\u2009')] class AlphaCommand(EmptyCommand): """A command without parameters whose result is alphabetical.""" commandmap = FormulaConfig.alphacommands greek_capitals = ('\\Xi', '\\Theta', '\\Pi', '\\Sigma', '\\Gamma', '\\Lambda', '\\Phi', '\\Psi', '\\Delta', '\\Upsilon', '\\Omega') def parsebit(self, pos): "Parse the command and set type to alpha" EmptyCommand.parsebit(self, pos) if self.command not in self.greek_capitals: # Greek Capital letters are upright in LaTeX default math-style. # TODO: use italic, like in MathML and "iso" math-style? self.type = 'alpha' class OneParamFunction(CommandBit): "A function of one parameter" commandmap = FormulaConfig.onefunctions simplified = False def parsebit(self, pos): "Parse a function with one parameter" self.output = TaggedOutput().settag(self.translated) self.parseparameter(pos) self.simplifyifpossible() def simplifyifpossible(self): "Try to simplify to a single character." if self.original in self.commandmap: self.output = FixedOutput() self.html = [self.commandmap[self.original]] self.simplified = True class SymbolFunction(CommandBit): "Find a function which is represented by a symbol (like _ or ^)" commandmap = FormulaConfig.symbolfunctions def detect(self, pos): "Find the symbol" return pos.current() in SymbolFunction.commandmap def parsebit(self, pos): "Parse the symbol" self.setcommand(pos.current()) pos.skip(self.command) self.output = TaggedOutput().settag(self.translated) self.parseparameter(pos) class TextFunction(CommandBit): "A function where parameters are read as text." commandmap = FormulaConfig.textfunctions def parsebit(self, pos): "Parse a text parameter" self.output = TaggedOutput().settag(self.translated) self.parsetext(pos) def process(self): "Set the type to font" self.type = 'font' class FontFunction(OneParamFunction): """A function of one parameter that changes the font.""" # TODO: keep letters italic with \boldsymbol. commandmap = FormulaConfig.fontfunctions def process(self): "Simplify if possible using a single character." self.type = 'font' self.simplifyifpossible() FormulaFactory.types += [FormulaCommand, SymbolFunction] FormulaCommand.types = [ AlphaCommand, EmptyCommand, OneParamFunction, FontFunction, TextFunction, SpacedCommand] class BigBracket: "A big bracket generator." def __init__(self, size, bracket, alignment='l'): "Set the size and symbol for the bracket." self.size = size self.original = bracket self.alignment = alignment self.pieces = None if bracket in FormulaConfig.bigbrackets: self.pieces = FormulaConfig.bigbrackets[bracket] def getpiece(self, index): "Return the nth piece for the bracket." function = getattr(self, 'getpiece' + str(len(self.pieces))) return function(index) def getpiece1(self, index): "Return the only piece for a single-piece bracket." return self.pieces[0] def getpiece3(self, index): "Get the nth piece for a 3-piece bracket: parenthesis or square bracket." if index == 0: return self.pieces[0] if index == self.size - 1: return self.pieces[-1] return self.pieces[1] def getpiece4(self, index): "Get the nth piece for a 4-piece bracket: curly bracket." if index == 0: return self.pieces[0] if index == self.size - 1: return self.pieces[3] if index == (self.size - 1)/2: return self.pieces[2] return self.pieces[1] def getcell(self, index): "Get the bracket piece as an array cell." piece = self.getpiece(index) span = 'span class="bracket align-' + self.alignment + '"' return TaggedBit().constant(piece, span) def getcontents(self): "Get the bracket as an array or as a single bracket." if self.size == 1 or not self.pieces: return self.getsinglebracket() rows = [] for index in range(self.size): cell = self.getcell(index) rows.append(TaggedBit().complete([cell], 'span class="arrayrow"')) return [TaggedBit().complete(rows, 'span class="array"')] def getsinglebracket(self): "Return the bracket as a single sign." if self.original == '.': return [TaggedBit().constant('', 'span class="emptydot"')] return [TaggedBit().constant(self.original, 'span class="stretchy"')] class FormulaEquation(CommandBit): "A simple numbered equation." piece = 'equation' def parsebit(self, pos): "Parse the array" self.output = ContentsOutput() self.add(self.factory.parsetype(WholeFormula, pos)) class FormulaCell(FormulaCommand): "An array cell inside a row" def setalignment(self, alignment): self.alignment = alignment self.output = TaggedOutput().settag('span class="arraycell align-' + alignment + '"', True) return self def parsebit(self, pos): self.factory.clearskipped(pos) if pos.finished(): return self.add(self.factory.parsetype(WholeFormula, pos)) class FormulaRow(FormulaCommand): "An array row inside an array" cellseparator = FormulaConfig.array['cellseparator'] def setalignments(self, alignments): self.alignments = alignments self.output = TaggedOutput().settag('span class="arrayrow"', True) return self def parsebit(self, pos): "Parse a whole row" index = 0 pos.pushending(self.cellseparator, optional=True) while not pos.finished(): cell = self.createcell(index) cell.parsebit(pos) self.add(cell) index += 1 pos.checkskip(self.cellseparator) if len(self.contents) == 0: self.output = EmptyOutput() def createcell(self, index): "Create the cell that corresponds to the given index." alignment = self.alignments[index % len(self.alignments)] return self.factory.create(FormulaCell).setalignment(alignment) class MultiRowFormula(CommandBit): "A formula with multiple rows." def parserows(self, pos): "Parse all rows, finish when no more row ends" self.rows = [] first = True for row in self.iteraterows(pos): if first: first = False else: # intersparse empty rows self.addempty() row.parsebit(pos) self.addrow(row) self.size = len(self.rows) def iteraterows(self, pos): "Iterate over all rows, end when no more row ends" rowseparator = FormulaConfig.array['rowseparator'] while True: pos.pushending(rowseparator, True) row = self.factory.create(FormulaRow) yield row.setalignments(self.alignments) if pos.checkfor(rowseparator): self.original += pos.popending(rowseparator) else: return def addempty(self): "Add an empty row." row = self.factory.create(FormulaRow).setalignments(self.alignments) for index, originalcell in enumerate(self.rows[-1].contents): cell = row.createcell(index) cell.add(FormulaConstant(' ')) row.add(cell) self.addrow(row) def addrow(self, row): "Add a row to the contents and to the list of rows." self.rows.append(row) self.add(row) class FormulaArray(MultiRowFormula): "An array within a formula" piece = 'array' def parsebit(self, pos): "Parse the array" self.output = TaggedOutput().settag('span class="array"', False) self.parsealignments(pos) self.parserows(pos) def parsealignments(self, pos): "Parse the different alignments" # vertical self.valign = 'c' literal = self.parsesquareliteral(pos) if literal: self.valign = literal # horizontal literal = self.parseliteral(pos) self.alignments = [] for s in literal: self.alignments.append(s) class FormulaMatrix(MultiRowFormula): "A matrix (array with center alignment)." piece = 'matrix' def parsebit(self, pos): "Parse the matrix, set alignments to 'c'." self.output = TaggedOutput().settag('span class="array"', False) self.valign = 'c' self.alignments = ['c'] self.parserows(pos) class FormulaCases(MultiRowFormula): "A cases statement" piece = 'cases' def parsebit(self, pos): "Parse the cases" self.output = ContentsOutput() self.alignments = ['l', 'l'] self.parserows(pos) for row in self.contents: for cell in row.contents: cell.output.settag('span class="case align-l"', True) cell.contents.append(FormulaConstant(' ')) array = TaggedBit().complete(self.contents, 'span class="bracketcases"', True) brace = BigBracket(len(self.contents), '{', 'l') self.contents = brace.getcontents() + [array] class EquationEnvironment(MultiRowFormula): "A \\begin{}...\\end equation environment with rows and cells." def parsebit(self, pos): "Parse the whole environment." environment = self.piece.replace('*', '') self.output = TaggedOutput().settag( 'span class="environment %s"'%environment, False) if environment in FormulaConfig.environments: self.alignments = FormulaConfig.environments[environment] else: Trace.error('Unknown equation environment ' + self.piece) # print in red self.output = TaggedOutput().settag('span class="unknown"') self.add(FormulaConstant('\\begin{%s} '%environment)) self.alignments = ['l'] self.parserows(pos) class BeginCommand(CommandBit): "A \\begin{}...\\end command and what it entails (array, cases, aligned)" commandmap = {FormulaConfig.array['begin']: ''} types = [FormulaEquation, FormulaArray, FormulaCases, FormulaMatrix] def parsebit(self, pos): "Parse the begin command" command = self.parseliteral(pos) bit = self.findbit(command) ending = FormulaConfig.array['end'] + '{' + command + '}' pos.pushending(ending) bit.parsebit(pos) self.add(bit) self.original += pos.popending(ending) self.size = bit.size def findbit(self, piece): "Find the command bit corresponding to the \\begin{piece}" for type in BeginCommand.types: if piece.replace('*', '') == type.piece: return self.factory.create(type) bit = self.factory.create(EquationEnvironment) bit.piece = piece return bit FormulaCommand.types += [BeginCommand] class CombiningFunction(OneParamFunction): commandmap = FormulaConfig.combiningfunctions def parsebit(self, pos): "Parse a combining function." combining = self.translated parameter = self.parsesingleparameter(pos) if not parameter: Trace.error('Missing parameter for combining function ' + self.command) return # Trace.message('apply %s to %r'%(self.command, parameter.extracttext())) # parameter.tree() if not isinstance(parameter, FormulaConstant): try: extractor = ContainerExtractor(ContainerConfig.extracttext) parameter = extractor.extract(parameter)[0] except IndexError: Trace.error('No base character found for "%s".' % self.command) return # Trace.message(' basechar: %r' % parameter.string) # Insert combining character after the first character: if parameter.string.startswith('\u2009'): i = 2 # skip padding by SpacedCommand and FormulaConfig.modified else: i = 1 parameter.string = parameter.string[:i] + combining + parameter.string[i:] # Use pre-composed characters if possible: \not{=} -> ≠, say. parameter.string = unicodedata.normalize('NFC', parameter.string) def parsesingleparameter(self, pos): "Parse a parameter, or a single letter." self.factory.clearskipped(pos) if pos.finished(): return None return self.parseparameter(pos) class OversetFunction(OneParamFunction): "A function that decorates some bit of text with an overset." commandmap = FormulaConfig.oversetfunctions def parsebit(self, pos): "Parse an overset-function" symbol = self.translated self.symbol = TaggedBit().constant(symbol, 'sup') self.parameter = self.parseparameter(pos) self.output = TaggedOutput().settag('span class="embellished"') self.contents.insert(0, self.symbol) self.parameter.output = TaggedOutput().settag('span class="base"') self.simplifyifpossible() class UndersetFunction(OneParamFunction): "A function that decorates some bit of text with an underset." commandmap = FormulaConfig.undersetfunctions def parsebit(self, pos): "Parse an underset-function" symbol = self.translated self.symbol = TaggedBit().constant(symbol, 'sub') self.parameter = self.parseparameter(pos) self.output = TaggedOutput().settag('span class="embellished"') self.contents.insert(0, self.symbol) self.parameter.output = TaggedOutput().settag('span class="base"') self.simplifyifpossible() class LimitCommand(EmptyCommand): "A command which accepts limits above and below, in display mode." commandmap = FormulaConfig.limitcommands def parsebit(self, pos): "Parse a limit command." self.output = TaggedOutput().settag('span class="limits"') symbol = self.translated self.contents.append(TaggedBit().constant(symbol, 'span class="limit"')) class LimitPreviousCommand(LimitCommand): "A command to limit the previous command." commandmap = None def parsebit(self, pos): "Do nothing." self.output = TaggedOutput().settag('span class="limits"') self.factory.clearskipped(pos) def __str__(self): "Return a printable representation." return 'Limit previous command' class LimitsProcessor(MathsProcessor): "A processor for limits inside an element." def process(self, contents, index): "Process the limits for an element." if Options.simplemath: return if self.checklimits(contents, index): self.modifylimits(contents, index) if self.checkscript(contents, index) and self.checkscript(contents, index + 1): self.modifyscripts(contents, index) def checklimits(self, contents, index): "Check if the current position has a limits command." # TODO: check for \limits macro if not DocumentParameters.displaymode: return False if self.checkcommand(contents, index + 1, LimitPreviousCommand): self.limitsahead(contents, index) return False if not isinstance(contents[index], LimitCommand): return False return self.checkscript(contents, index + 1) def limitsahead(self, contents, index): "Limit the current element based on the next." contents[index + 1].add(contents[index].clone()) contents[index].output = EmptyOutput() def modifylimits(self, contents, index): "Modify a limits commands so that the limits appear above and below." limited = contents[index] subscript = self.getlimit(contents, index + 1) if self.checkscript(contents, index + 1): superscript = self.getlimit(contents, index + 1) else: superscript = TaggedBit().constant('\u2009', 'sup class="limit"') # fix order if source is x^i if subscript.command == '^': superscript, subscript = subscript, superscript limited.contents.append(subscript) limited.contents.insert(0, superscript) def getlimit(self, contents, index): "Get the limit for a limits command." limit = self.getscript(contents, index) limit.output.tag = limit.output.tag.replace('script', 'limit') return limit def modifyscripts(self, contents, index): "Modify the super- and subscript to appear vertically aligned." subscript = self.getscript(contents, index) # subscript removed so instead of index + 1 we get index again superscript = self.getscript(contents, index) # super-/subscript are reversed if source is x^i_j if subscript.command == '^': superscript, subscript = subscript, superscript scripts = TaggedBit().complete([superscript, subscript], 'span class="scripts"') contents.insert(index, scripts) def checkscript(self, contents, index): "Check if the current element is a sub- or superscript." return self.checkcommand(contents, index, SymbolFunction) def checkcommand(self, contents, index, type): "Check for the given type as the current element." if len(contents) <= index: return False return isinstance(contents[index], type) def getscript(self, contents, index): "Get the sub- or superscript." bit = contents[index] bit.output.tag += ' class="script"' del contents[index] return bit class BracketCommand(OneParamFunction): "A command which defines a bracket." commandmap = FormulaConfig.bracketcommands def parsebit(self, pos): "Parse the bracket." OneParamFunction.parsebit(self, pos) def create(self, direction, character): "Create the bracket for the given character." self.original = character self.command = '\\' + direction self.contents = [FormulaConstant(character)] return self class BracketProcessor(MathsProcessor): "A processor for bracket commands." def process(self, contents, index): "Convert the bracket using Unicode pieces, if possible." if Options.simplemath: return if self.checkleft(contents, index): return self.processleft(contents, index) def processleft(self, contents, index): "Process a left bracket." rightindex = self.findright(contents, index + 1) if not rightindex: return size = self.findmax(contents, index, rightindex) self.resize(contents[index], size) self.resize(contents[rightindex], size) def checkleft(self, contents, index): "Check if the command at the given index is left." return self.checkdirection(contents[index], '\\left') def checkright(self, contents, index): "Check if the command at the given index is right." return self.checkdirection(contents[index], '\\right') def checkdirection(self, bit, command): "Check if the given bit is the desired bracket command." if not isinstance(bit, BracketCommand): return False return bit.command == command def findright(self, contents, index): "Find the right bracket starting at the given index, or 0." depth = 1 while index < len(contents): if self.checkleft(contents, index): depth += 1 if self.checkright(contents, index): depth -= 1 if depth == 0: return index index += 1 return None def findmax(self, contents, leftindex, rightindex): "Find the max size of the contents between the two given indices." sliced = contents[leftindex:rightindex] return max(element.size for element in sliced) def resize(self, command, size): "Resize a bracket command to the given size." character = command.extracttext() alignment = command.command.replace('\\', '') bracket = BigBracket(size, character, alignment) command.output = ContentsOutput() command.contents = bracket.getcontents() FormulaCommand.types += [OversetFunction, UndersetFunction, CombiningFunction, LimitCommand, BracketCommand] FormulaProcessor.processors += [ LimitsProcessor(), BracketProcessor(), ] class ParameterDefinition: "The definition of a parameter in a hybrid function." "[] parameters are optional, {} parameters are mandatory." "Each parameter has a one-character name, like {$1} or {$p}." "A parameter that ends in ! like {$p!} is a literal." "Example: [$1]{$p!} reads an optional parameter $1 and a literal mandatory parameter p." parambrackets = [('[', ']'), ('{', '}')] def __init__(self): self.name = None self.literal = False self.optional = False self.value = None self.literalvalue = None def parse(self, pos): "Parse a parameter definition: [$0], {$x}, {$1!}..." for (opening, closing) in ParameterDefinition.parambrackets: if pos.checkskip(opening): if opening == '[': self.optional = True if not pos.checkskip('$'): Trace.error('Wrong parameter name, did you mean $' + pos.current() + '?') return None self.name = pos.skipcurrent() if pos.checkskip('!'): self.literal = True if not pos.checkskip(closing): Trace.error('Wrong parameter closing ' + pos.skipcurrent()) return None return self Trace.error('Wrong character in parameter template: ' + pos.skipcurrent()) return None def read(self, pos, function): "Read the parameter itself using the definition." if self.literal: if self.optional: self.literalvalue = function.parsesquareliteral(pos) else: self.literalvalue = function.parseliteral(pos) if self.literalvalue: self.value = FormulaConstant(self.literalvalue) elif self.optional: self.value = function.parsesquare(pos) else: self.value = function.parseparameter(pos) def __str__(self): "Return a printable representation." result = 'param ' + self.name if self.value: result += ': ' + str(self.value) else: result += ' (empty)' return result class ParameterFunction(CommandBit): "A function with a variable number of parameters defined in a template." "The parameters are defined as a parameter definition." def readparams(self, readtemplate, pos): "Read the params according to the template." self.params = {} for paramdef in self.paramdefs(readtemplate): paramdef.read(pos, self) self.params['$' + paramdef.name] = paramdef def paramdefs(self, readtemplate): "Read each param definition in the template" pos = TextPosition(readtemplate) while not pos.finished(): paramdef = ParameterDefinition().parse(pos) if paramdef: yield paramdef def getparam(self, name): "Get a parameter as parsed." if name not in self.params: return None return self.params[name] def getvalue(self, name): "Get the value of a parameter." return self.getparam(name).value def getliteralvalue(self, name): "Get the literal value of a parameter." param = self.getparam(name) if not param or not param.literalvalue: return None return param.literalvalue class HybridFunction(ParameterFunction): """ A parameter function where the output is also defined using a template. The template can use a number of functions; each function has an associated tag. Example: [f0{$1},span class="fbox"] defines a function f0 which corresponds to a span of class fbox, yielding $1. Literal parameters can be used in tags definitions: [f0{$1},span style="color: $p;"] yields $1, where $p is a literal parameter. Sizes can be specified in hybridsizes, e.g. adding parameter sizes. By default the resulting size is the max of all arguments. Sizes are used to generate the right parameters. A function followed by a single / is output as a self-closing XHTML tag: [f0/,hr] will generate
. """ commandmap = FormulaConfig.hybridfunctions def parsebit(self, pos): "Parse a function with [] and {} parameters" readtemplate = self.translated[0] writetemplate = self.translated[1] self.readparams(readtemplate, pos) self.contents = self.writeparams(writetemplate) self.computehybridsize() def writeparams(self, writetemplate): "Write all params according to the template" return self.writepos(TextPosition(writetemplate)) def writepos(self, pos): "Write all params as read in the parse position." result = [] while not pos.finished(): if pos.checkskip('$'): param = self.writeparam(pos) if param: result.append(param) elif pos.checkskip('f'): function = self.writefunction(pos) if function: function.type = None result.append(function) elif pos.checkskip('('): result.append(self.writebracket('left', '(')) elif pos.checkskip(')'): result.append(self.writebracket('right', ')')) else: result.append(FormulaConstant(pos.skipcurrent())) return result def writeparam(self, pos): "Write a single param of the form $0, $x..." name = '$' + pos.skipcurrent() if name not in self.params: Trace.error('Unknown parameter ' + name) return None if not self.params[name]: return None if pos.checkskip('.'): self.params[name].value.type = pos.globalpha() return self.params[name].value def writefunction(self, pos): "Write a single function f0,...,fn." tag = self.readtag(pos) if not tag: return None if pos.checkskip('/'): # self-closing XHTML tag, such as
return TaggedBit().selfcomplete(tag) if not pos.checkskip('{'): Trace.error('Function should be defined in {}') return None pos.pushending('}') contents = self.writepos(pos) pos.popending() if len(contents) == 0: return None return TaggedBit().complete(contents, tag) def readtag(self, pos): "Get the tag corresponding to the given index. Does parameter substitution." if not pos.current().isdigit(): Trace.error('Function should be f0,...,f9: f' + pos.current()) return None index = int(pos.skipcurrent()) if 2 + index > len(self.translated): Trace.error('Function f' + str(index) + ' is not defined') return None tag = self.translated[2 + index] if '$' not in tag: return tag for variable in self.params: if variable in tag: param = self.params[variable] if not param.literal: Trace.error('Parameters in tag ' + tag + ' should be literal: {' + variable + '!}') continue if param.literalvalue: value = param.literalvalue else: value = '' tag = tag.replace(variable, value) return tag def writebracket(self, direction, character): "Return a new bracket looking at the given direction." return self.factory.create(BracketCommand).create(direction, character) def computehybridsize(self): "Compute the size of the hybrid function." if self.command not in HybridSize.configsizes: self.computesize() return self.size = HybridSize().getsize(self) # set the size in all elements at first level for element in self.contents: element.size = self.size class HybridSize: "The size associated with a hybrid function." configsizes = FormulaConfig.hybridsizes def getsize(self, function): "Read the size for a function and parse it." sizestring = self.configsizes[function.command] for name in function.params: if name in sizestring: size = function.params[name].value.computesize() sizestring = sizestring.replace(name, str(size)) if '$' in sizestring: Trace.error('Unconverted variable in hybrid size: ' + sizestring) return 1 return eval(sizestring) FormulaCommand.types += [HybridFunction] def math2html(formula): "Convert some TeX math to HTML." factory = FormulaFactory() whole = factory.parseformula(formula) FormulaProcessor().process(whole) whole.process() return ''.join(whole.gethtml()) def main(): "Main function, called if invoked from the command line" args = sys.argv Options().parseoptions(args) if len(args) != 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ÐVÑVÐVð/.ñ4 ð_ñ_ð_ð5.ñ6 ÐWÑWÐWð7.ñ8 ÐgÑgÐgð9.ñ: Ñ0°"Ð5ð;.ñ< Ð^Ñ^Ð^ð=.ñ> ÐSÑSÐSð?.ñ@ ÐGÑGÐGðA.ñD ðrñrðrðE.ñF ðHñHðHðG.ñH ðVñVðVðI.ñJ ðqñqðqðK.ð.ðLJÑIÐIØCÑCÐCØ7Ñ7Ð7ØDÑDÐDðKñKðKØRÑRÐRØ3Ñ3Ð3ØQÑQÐQñ[.ð.ð.€Oñb¡w¹IÙ¡g¹9ñð€Kñ ‘<ð€Nð(Ù™5ð(á‘ð(ñ ‘ð(ñ ‘ð (ñ ‘ð (ñ ‘ð (ñ ÑFð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð(ñ Ñ=ð!(ñ" Ñ=ð#(ð(ñ$ Ñ=ð%(ñ& ÑFð'(ñ( Ñ=ð)(ñ* Ñ=ð+(ñ, Ñ=ð-(ñ. ‘%ð/(ñ.#¡Eð/(ñ.,5±eð/(ñ.>JÉ5ð/(ñ4 Ñ@ð5(ñ6 ÑAð7(ñ8 ÑBð9(ñ: ÑCð;(ñ< ÑAð=(ñ> ÑKð?(ñ@ ÑAðA(ñB ÑBðC(ð(ñDDÙJÙMÙEÙBÙMñO(ð(ð(€MðVr ©°EÁÙ Ñ.Ñ5FÉUÑYkÙ Ñ#5¸BÀXñð€Hð ÙÑ2ðáÑ3ðñ Ñ3ðñ Ñ2ð ñ Ñ3ð ñ Ñ3ð ñ Ñ3ðñ Ñ4ðñ Ñ4ðñ Ñ3ðñ Ñ4ðñ Ñ4ðñ Ñ1ðñ Ñ2ðñ Ñ1ð!ñ" Ñ,ð#ñ$ Ñ-ð%ñ&0Ù-Ù+Ù1ØÙ,ñ1ðð€Lð8á™ðñ ™ðñ ™ð ñ ™ð ñ ™ð ñ ™ðñ ™ðñ Ñ<ðñ ÑAðñ Ñ=ðñ ÑBðñ Ñ>ðñ Ñ>ðñ Ñ>ð!ñ" Ñ;ð#ñ$ Ñ;ð%€Nð("Ô)×/Ò/Ñ1Ô1ð)ð)‰ ˆˆUØ#(ˆt˜C‘xÑ Ð à©*ÁØ¡C±EÁSÙ©Cñð€Fñ™ñð€Oñ &Ù%Ù)Ù)Ù1Ù)Ù)Ù)Ù)Ù)Ù)ñ ð €Mñ ð<ñ<ð<ð €JJ€JrrJcó0—eZdZdZd„Zd„Zd„Zd„Zd„ZdS)ÚCommandLineParserzA parser for runtime optionscó—||_dS©N)Úoptions)Úselfrs rÚ__init__zCommandLineParser.__init__%s €ØˆŒ ˆ ˆ rcól—t|¦«dkrdSt|¦«dkr‹|d d¦«rp| |¦«\}}|sd|zdzS|sd|zdzSt|j||¦«t|¦«dkr|d d¦«°pdS)úParse command line optionsrNú--zOption z not recognizedz needs a value)ÚlenÚ startswithÚ readoptionÚsetattrr)rÚargsr‘r’s rÚ parseoptionszCommandLineParser.parseoptions(sÀå ˆt‰9Œ9˜Š>ˆ>Ø4Ý$‰iŒi˜!Šmˆm  Q¤× 2Ò 2°4Ñ 8Ô 8ˆmØŸš¨Ñ.Ô.‰JˆCØð =Ø  5Ñ(Ð+<Ñ<Ð<Øð :Ø  3‘Ð)9Ñ9Ð9Ý D”L # uÑ -Ô -Ð -õ $‰iŒi˜!Šmˆm  Q¤× 2Ò 2°4Ñ 8Ô 8ˆmðˆtrcób—|ddd…}|d=d|vr| ||¦«}n| dd¦«}t|j|¦«sd|fSt |j|¦«}t |t ¦«r|dfSt|¦«dkr|dfS|d d¦«r#|d}|d=||  ||¦«fS|d  d ¦«}|d=t |t¦«r|  |¦«||fS||fS) z$Read the key and value for an optionréNrÆrÃr@TrØzutf-8) Ú readequalskeyÚreplaceÚhasattrrÚgetattrÚ isinstanceÚboolrrÚ readquotedÚdecodeÚlistÚappend)rr rzr‘ÚcurrentÚinitialr’s rr zCommandLineParser.readoption5sH€à1ŒgabbŒkˆØ ˆGØ #ˆ:ˆ:Ø×$Ò$ S¨$Ñ/Ô/ˆCˆCà—+’+˜c 2Ñ&Ô&ˆCÝt”| SÑ)Ô)ð Ø˜9Рݘ$œ,¨Ñ,Ô,ˆÝ gtÑ $Ô $ð Ø˜9Ð å ˆt‰9Œ9˜Š>ˆ>ؘ9Ð Ø Œ7× Ò ˜cÑ "Ô "ð 7ؘ1”gˆGØQؘŸš¨¨gÑ6Ô6Ð6Ð 6ØQ”—’˜wÑ'Ô'ˆØ ˆGÝ gtÑ $Ô $ð Ø NŠN˜5Ñ !Ô !Ð !ؘ<Ð ØEˆzÐrcóZ—t d¦«|dd…}t|¦«dkr³|d d¦«s˜|d d¦«s}t d|dz¦«|d|dzz }|d=t|¦«dkr6|d d¦«s|d d¦«¯}t|¦«dks|d d¦«rdS|d|dd …zz }|S) zRead a value between quotesÚOopséNrrØrz Appending rgr)rrrÚendswithr)rr rr’s rrzCommandLineParser.readquotedPs€å Š FÑÔÐØ˜˜˜” ˆÝ$‰iŒi˜!Šmˆm D¨¤G×$4Ò$4°SÑ$9Ô$9ˆmÀ$ÀqÄ'×BTÒBTÐUYÑBZÔBZˆmÝ KŠK˜  t¨A¤wÑ.Ñ /Ô /Ð /Ø S˜4 œ7‘]Ñ "ˆEØQõ$‰iŒi˜!Šmˆm D¨¤G×$4Ò$4°SÑ$9Ô$9ˆmÀ$ÀqÄ'×BTÒBTÐUYÑBZÔBZˆmõ ˆt‰9Œ9˜Š>ˆ>˜T !œW×/Ò/°Ñ5Ô5ˆ>Ø4Ø t˜A˜b˜D”zÑ!Ñ!ˆØˆ rcó~—| dd¦«}|d}|d}| d|¦«|S)zRead a key using equalsrÆrr)ÚsplitÚinsert)rrzr r r‘r’s rrzCommandLineParser.readequalskey]s@€à— ’ ˜#˜qÑ!Ô!ˆØAŒhˆØa”ˆØ Š AuÑÔÐØˆ rN) r r!r"r#rr r rrr%rrrþrþ"se€€€€€Ø"Ð"ðððð ð ð ðððð6 ð ð ðððððrrþcóP—eZdZdZdZdZdZdZdZdZ dZ iZ d„Z d„Z d„Zd„Zd „ZdS) ÚOptionszA set of runtime optionsNFTcó —|dt_|d=tt¦«}| |¦«}|r.t |¦«| ¦«| ¦«dS)rrN)r#Úlocationrþr rrÚusageÚprocessoptions)rr ÚparserÚresults rr zOptions.parseoptionstst€à œ7ÔØ ˆGÝ"¥7Ñ+Ô+ˆØ×$Ò$ TÑ*Ô*ˆØ ð Ý KŠK˜Ñ Ô Ð Ø JŠJ‰LŒLˆLØ ×ÒÑÔÐÐÐrc ó6—tjr| ¦«tjr| ¦«t t ¦«D]C}| d¦«r,tt |t||dd…¦«¦«ŒDdS)zProcess all options parsed.ÚmodeNéüÿÿÿ) r#Úhelpr&ÚversionÚ showversionÚdirrrr r)rÚparams rr'zOptions.processoptionss’€å Œ<ð Ø JŠJ‰LŒLˆLÝ Œ?ð Ø × Ò Ñ Ô Ð å‘Z”Zð Að AˆEØ~Š~˜fÑ%Ô%ð Aݘu¥g¨d°E¸#¸2¸#´JÑ&?Ô&?Ñ@Ô@Ð@øð Að Arcóà—t dtjtj¦«j›d¦«t d¦«| ¦«dS)zShow correct usagezUsage: z [options] "input string"z.Convert input string with LaTeX math to MathMLN)rrÚpathlibÚPathr#r%ÚparentÚ showoptions©rs rr&z Options.usageŠsi€å Š ð0gœl­7Ô+;Ñ<Ô<ÔCð0ð0ð0ñ 1ô 1ð 1å Š ÐDÑEÔEÐEØ ×ÒÑÔÐÐÐrcó0—t d¦«t d¦«t d¦«t d¦«t d¦«tj¦«dS)zShow all possible optionsz1 --help: show this online helpz9 --quiet: disables all runtime messageszF --debug: enable debugging messages (for developers)z@ --version: show version number and release datezD --simplemath: do not generate fancy math constructionsN)rrr rr7s rr6zOptions.showoptions‘sp€å Š ÐGÑHÔHÐHÝ Š ÐOÑPÔPÐPÝ Š Ð\Ñ]Ô]Ð]Ý Š ÐVÑWÔWÐWÝ Š ÐZÑ[Ô[Ð[Ý Œ‰ Œ ˆ ˆ ˆ rcóp—t dtz¦«tj¦«dS)z(Return the current eLyXer version stringz math2html N)rrÚ __version__r rr7s rr/zOptions.showversionšs(€å Š L¥Ñ,Ñ-Ô-Ð-Ý Œ‰ Œ ˆ ˆ ˆ r)r r!r"r#r%rÚquietr.r-Ú simplemathÚ showlinesÚbranchesr r'r&r6r/r%rrr#r#fs€€€€€ØÐà€Hà €EØ €EØ€GØ €DØ€JØ€Ià€Hð ð ð ð Að Að Aðððððððððððrr#cóJ—eZdZdZd„Zd„Zee¦«Zee¦«ZdS)ÚClonerz&An object used to clone other objects.có8— | |j¦«S)z"Return an exact copy of an object.)ÚcreateÚ __class__)r Úoriginals rÚclonez Cloner.clone£s€à=ØzŠz˜(Ô,Ñ-Ô-Ð-rcóX—| |¦«}| ¦«|S)z"Create an object of a given class.)Ú__new__r)r ÚtyperEs rrBz Cloner.create¨s(€à— ’ ˜TÑ"Ô"ˆØ ŠÑÔÐØˆ rN)r r!r"r#rErBr$r%rrr@r@ sR€€€€€Ø,Ð,ð.ð.ð.ð ððð ˆK˜Ñ Ô €EØ ˆ[˜Ñ Ô €F€F€Frr@có*—eZdZdZd„Zd„Zd„Zd„ZdS)ÚContainerExtractora™A class to extract certain containers. 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rrxzEndingList.__str__«s[€àˆØ”lð (ð (ˆFØ •c˜&‘k”k CÑ'Ñ 'ˆFˆFÝ ˆtŒ|Ñ Ô ˜qÒ Ð Ø˜C˜R˜C”[ˆFؘ‰|ÐrNr) r r!r"r#rrr&rçrrrærxr%rrrÖrÖus—€€€€€Ø Ð ðððð>ð>ð>ð>ð/ð/ð/ðððð ððð$ ð ð ð?ð?ð?ð ððððrrÖcó$—eZdZdZd„Zd„Zd„ZdS)r"z An ending for a parsing positioncó"—||_||_dSr©rorrs rrzPositionEnding.__init__¸s€ØˆŒ Ø ˆŒ ˆ ˆ rcó6—| |j¦«S)zCheck for the ending)rãror$s rrçzPositionEnding.checkin¼s€à|Š|˜DœKÑ(Ô(Ð(rcó2—d|jz}|jr|dz }|S)r0zEnding z (optional)r3râs rrxzPositionEnding.__str__Às'€à˜Tœ[Ñ(ˆØ Œ=ð $Ø mÑ #ˆF؈ rN)r r!r"r#rrçrxr%rrr"r"µsG€€€€€Ø&Ð&ð!ð!ð!ð)ð)ð)ðððððrr"cóN—eZdZdZd„Zd„Zd„Zd„Zd„Zd„Z d„Z d „Z d „Z d „Z d S) ÚPositionz¥A position in a text to parse. 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CSS.N)ÚFormulaFactoryr±r“r"rSr5r])rÚwholes rr7zFormula.classic·sK€åÑ Ô ×-Ò-¨d¬kÑ:Ô:ˆÝÑÔ×"Ò" 5Ñ)Ô)Ð)؈Œ ؘˆŒ ˆ ˆ rcó´—| d¦«r| |¦«n˜| d¦«r| |¦«nm| d¦«r| |d¦«nA| d¦«r| |d¦«n| d¦«| ¦«|S)z4Parse using a parse position instead of self.parser.z$$rÀz\(z\)rÉr”zUnparseable formula)rIÚparsedollarblockÚparsedollarinlineÚ parseinlinetoÚ parseblocktorrSr$s rr}z Formula.parse¾s×€à =Š=˜Ñ Ô ð -Ø × !Ò ! #Ñ &Ô &Ð &Ð &Ø ]Š]˜3Ñ Ô ð -Ø × "Ò " 3Ñ 'Ô 'Ð 'Ð 'Ø ]Š]˜5Ñ !Ô !ð -Ø × Ò ˜s EÑ *Ô *Ð *Ð *Ø ]Š]˜5Ñ !Ô !ð -Ø × Ò ˜c 5Ñ )Ô )Ð )Ð )à IŠIÐ+Ñ ,Ô ,Ð ,Ø Š ‰ŒˆØˆ rcó@—dg|_| |¦«dS)zParse a $...$ formula.r¬N)rhÚ parsedollarr$s rr=zFormula.parsedollarinlineÍs%€àjˆŒ Ø ×Ò˜ÑÔÐÐÐrcó˜—dg|_| |¦«| d¦«s| d¦«dSdS)zParse a $$...$$ formula.r­rÀz1Formula should be $$...$$, but last $ is missing.N)rhrArIrr$s rr<zFormula.parsedollarblockÒsY€àiˆŒ Ø ×Ò˜ÑÔÐØ}Š}˜SÑ!Ô!ð KØ IŠIÐIÑ JÔ JÐ JÐ JÐ Jð Kð KrcóŽ—| d¦«| d¦«|_| d¦«dS)zParse to the next $.rÀN)rrr“rr$s rrAzFormula.parsedollarÙsA€à ŠsÑÔÐØ×'Ò'¨Ñ,Ô,ˆŒ Ø Š cÑÔÐÐÐrcóB—dg|_| ||¦«dS)zParse a \(...\) formula.r¬N©rhÚ parseupto©rr%Úlimits rr>zFormula.parseinlinetoßs%€àjˆŒ Ø Šs˜EÑ"Ô"Ð"Ð"Ð"rcóB—dg|_| ||¦«dS)zParse a \[...\] formula.r­NrErGs rr?zFormula.parseblocktoäs%€àiˆŒ Ø Šs˜EÑ"Ô"Ð"Ð"Ð"rcó—| |¦«| d„¦«|_| |¦«dS)z1Parse a formula that ends with the given command.có—dS)NTr%r%rrrPz#Formula.parseupto..ìs€ t€rN)rrìr“rrGs rrFzFormula.parseuptoésA€à ŠuÑÔÐØ—h’h˜|˜|Ñ,Ô,ˆŒ Ø Š eÑÔÐÐÐrcóP—|jr|jjrd|jjzdzSdS)rœz Formula (r_zUnnumbered formula)r‹rör7s rrxzFormula.__str__ïs3€à Œ<ð ;˜DœLÔ/ð ;Ø ¤Ô!4Ñ4°sÑ:Ð :Ø#Ð#rN)r r!r"r#rrSr7r}r=r<rAr>r?rFrxr%rrr0r0§sÅ€€€€€ØÐðDðDðDðððð ð ð ð ð ð ðððð KðKðKðððð #ð#ð#ð #ð#ð#ð ððð $ð$ð$ð$ð$rr0có—eZdZdZd„Zd„ZdS)Ú WholeFormulazParse a whole formulacó,—| ¦« S)z"Not outside the formula is enough.)rÙr$s rråzWholeFormula.detectùs€à—<’<‘>”>Ð!Ð!rcó´—| ¦«sC| |j |¦«¦«| ¦«¯AdSdS)zParse with any formula bitNrr$s rrézWholeFormula.parsebitýrrNrêr%rrrNrNös8€€€€€ØÐð"ð"ð"ð1ð1ð1ð1ð1rrNcód—eZdZdZeeeeee gZ ee gZ dZ d„Z d„Zd„Zd„Zd„Zd„Zd „Zd „Zd „Zd S) r9zConstruct bits of formulaFcó—i|_dS)z Initialize the map of instances.N)Ú instancesr7s rrzFormulaFactory.__init__ s €àˆŒˆˆrcó~—| ¦«rdS| |¦« |¦«S)zDetect a bit of a given type.F)rÙÚinstancerå)rrHr%s rÚ detecttypezFormulaFactory.detecttypes7€à <Š<‰>Œ>ð Ø5Ø}Š}˜TÑ"Ô"×)Ò)¨#Ñ.Ô.Ð.rcó‚—||jvs |j|s| |¦«|j|<|j|S)z"Get an instance of the given type.)rSrB©rrHs rrUzFormulaFactory.instances@€à t”~Ð %Ð %¨T¬^¸DÔ-AÐ %Ø#'§;¢;¨tÑ#4Ô#4ˆDŒN˜4Ñ ØŒ~˜dÔ#Ð#rcó\—t |¦« |¦«S)z+Create a new formula bit of the given type.)r@rBrÇrXs rrBzFormulaFactory.creates"€å}Š}˜TÑ"Ô"×-Ò-¨dÑ3Ô3Ð3rcó„—| ¦«s+| |¦«sdS| ¦«¯+dS)zClear any skipped types.N)rÙÚskipanyr$s rÚ clearskippedzFormulaFactory.clearskippedsD€à—,’,‘.”.ð Ø—<’< Ñ$Ô$ð Øð—,’,‘.”.ð ð ˆrcóš—|jD]B}| |¦« |¦«r| ||¦«cSŒCdS)zSkip any skipped types.N)Ú skippedtypesrUrårª©rr%rHs rr[zFormulaFactory.skipany&sZ€àÔ%ð 1ð 1ˆDØ}Š}˜TÑ"Ô"×)Ò)¨#Ñ.Ô.ð 1Ø—~’~ d¨CÑ0Ô0Ð0Ð0Ð0ð 1àˆtrcó"—|j|jzD]0}| ||¦«r| ||¦«cSŒ1t d| ¦«z¦«t| ¦«¦«S)z.Parse any formula bit at the current location.zUnrecognized formula at ) Útypesr^rVrªrrr<r)rÛr_s rrzFormulaFactory.parseany-sŠ€à”J Ô!2Ñ2ð 1ð 1ˆDØŠ˜t SÑ)Ô)ð 1Ø—~’~ d¨CÑ0Ô0Ð0Ð0Ð0ð 1å Š Ð.°·²Ñ1AÔ1AÑAÑBÔBÐBݘsŸšÑ0Ô0Ñ1Ô1Ð1rcóœ—| |¦«}d|j|<| |¦«}|r| |¦«S|S)z#Parse the given type and return it.N)rUrSrérÇ)rrHr%rÊÚ returnedbits rrªzFormulaFactory.parsetype5sQ€àmŠm˜DÑ!Ô!ˆØ#ˆŒtÑØ—l’l 3Ñ'Ô'ˆ Ø ð 0Ø×)Ò)¨$Ñ/Ô/Ð /؈ rcó —t|¦«}| t¦«}| |¦«r| |¦«|S| ¦«sdt  d| ¦«z¦«|  t¦«  |d¦«¦«|S)z5Parse a string of text that contains a whole formula.zUnknown formula at: úspan class="unknown") rLrBrNrårérÙrrr<rr×rw)rr²r%r:s rr±zFormulaFactory.parseformula>sª€å˜7Ñ#Ô#ˆØ— ’ LÑ)Ô)ˆØ <Š<˜Ñ Ô ð Ø NŠN˜3Ñ Ô Ð ØˆLà|Š|‰~Œ~ð MÝ KŠKÐ.°·²Ñ1AÔ1AÑAÑ BÔ BÐ BØ IŠI•i‘k”k×*Ò*¨7Ð4JÑKÔKÑ LÔ LÐ L؈ rN)r r!r"r#r2r5r1r+rùrýrar^ÚdefiningrrVrUrBr\r[rrªr±r%rrr9r9sÄ€€€€€ØÐð˜G ]°G¸WÀjÐ Q€EؘZÐ(€LØ€Hðððð/ð/ð/ð $ð$ð$ð 4ð4ð4ððððððð2ð2ð2ðððð ð ð ð ð rr9có^—eZdZdZgZejdZdZd„Z d„Z d„Z d„Z d„Z d „Zd „ZdS) ÚFormulaCommandz A LaTeX command inside a formularÍNcó@—| tj¦«S)zFind the current command.)rãrhrÁr$s rråzFormulaCommand.detectSs€à|Š|NÔ0Ñ1Ô1Ð1rcóΗ| |¦«}| ||¦«}|r|S| d¦«s| d¦«r| ||¦«}|r|S|jjst  d|z¦«t¦«  d¦«|_ |  t|¦«¦«dS)zParse the command.ú\upú\UpzUnknown command reN) ÚextractcommandÚparsewithcommandrÚ parseupgreekrsrfrrr±r¶r\rr))rr%rÍrÊÚupgreeks rrézFormulaCommand.parsebitWsâ€à×%Ò% cÑ*Ô*ˆØ×#Ò# G¨SÑ1Ô1ˆØ ð ØˆJØ × Ò ˜fÑ %Ô %ð ¨×);Ò);¸FÑ)CÔ)Cð Ø×'Ò'¨°Ñ5Ô5ˆGØð ØØŒ|Ô$ð 6Ý KŠKÐ*¨WÑ4Ñ 5Ô 5Ð 5Ý"‘n”n×+Ò+Ð,BÑCÔCˆŒ Ø Š• Ñ)Ô)Ñ*Ô*Ð*؈trcóh—tjD]$}||jvr| |||¦«cSŒ%dS)z0Parse the command type once we have the command.N)rhraÚ commandmapÚparsecommandtype)rrÍr%rHs rrnzFormulaCommand.parsewithcommandgsK€å"Ô(ð Að AˆDؘ$œ/Ð)Ð)Ø×,Ò,¨W°d¸CÑ@Ô@Ð@Ð@Ð@ð*àˆtrcó–—|j |¦«}| |¦«| |¦«}|r|S|S)zParse a given command type.)rsrBÚ setcommandré)rrÍrHr%rÊÚreturneds rrszFormulaCommand.parsecommandtypensL€àŒl×!Ò! $Ñ'Ô'ˆØ ŠwÑÔÐØ—<’< Ñ$Ô$ˆØ ð ØˆO؈ rcóØ—| tj¦«s$| dtjz¦«dS| ¦«r| |¦«S| ¦« ¦«r8tj| ¦«z}| d¦«|Stj|  ¦«zS)z.Extract the command from the current position.zMissing command start NrÊ) rIrhrÁrrÙÚ emptycommandrrðrórÛ)rr%rÍs rrmzFormulaCommand.extractcommandws½€à}Š}^Ô1Ñ2Ô2ð Ø IŠIÐ.µÔ1EÑEÑ FÔ FÐ FØ ˆFØ <Š<‰>Œ>ð *Ø×$Ò$ SÑ)Ô)Ð )Ø ;Š;‰=Œ=× Ò Ñ "Ô "ð å$Ô*¨S¯]ª]©_¬_Ñ<ˆGà MŠM˜#Ñ Ô Ð ØˆNåÔ# c§o¢oÑ&7Ô&7Ñ7Ð7rcó¦—d}| ¦«s-| ¦«}|r| |¦«r|}tj|zS)zuCheck for an empty command: look for command disguised as ending. Special case against '{ \{ \} }' situation.r@)rßrrIrhrÁ)rr%rÍros rrxzFormulaCommand.emptycommand‡sV€ðˆØyŠy‰{Œ{ð !Ø—^’^Ñ%Ô%ˆFØð !˜#Ÿ-š-¨Ñ/Ô/ð !Ø ÝÔ# gÑ-Ð-rcór—t|¦«dkrdS| d¦«rd|dd…z}n_| d¦«r+d|dd… ¦«z|dd…z}nt d|z¦«dS| ||¦«}|rd|_|S) zParse the Greek \up command..éNrkrVérlzImpossible upgreek command: r-)rrrIÚupperrrrnrH)rrÍr%Ú upcommandrps rrozFormulaCommand.parseupgreek‘sÉ€å ˆw‰<Œ<˜!Ò Ð Ø4Ø × Ò ˜fÑ %Ô %ð Ø˜w q r rœ{Ñ*ˆIˆIØ ]Š]˜6Ñ "Ô "ð Ø˜w q¨ sœ|×1Ò1Ñ3Ô3Ñ3°g¸a¸b¸b´kÑAˆIˆIå KŠKÐ6¸Ñ@Ñ AÔ AÐ AØ ˆFØ×'Ò'¨ °3Ñ7Ô7ˆØ ð "Ø!ˆGŒL؈r)r r!r"r#rarJrùrÁrrrårérnrsrmrxror%rrrhrhLsš€€€€€Ø&Ð&à €EØ Ô  Ô +€EØ€Jð2ð2ð2ðððð ðððððð8ð8ð8ð .ð.ð.ðððððrrhcó6—eZdZdZd„Zd„Zd„Zd„Zd„Zd„Z dS) Ú CommandBitz%A formula bit that includes a commandcót—||_|jr)|xj|z c_|j|j|_dSdS)zSet the command in the bitN)rÍrrrDÚ translated)rrÍs rruzCommandBit.setcommand¥sA€àˆŒ Ø Œ?ð <Ø ˆMŒM˜WÑ $ˆMŒMØ"œo¨d¬lÔ;ˆDŒOˆOˆOð <ð Œ>ð Ø4Ø”L×)Ò)¨#Ñ.Ô.ˆ Ø ŠÑÔÐØÐrcóè—|j |¦«|j t|¦«sdS|j t|¦«}| |¦«|S)zParse a square bracketN)rsr\rVrrªr©rr%r•s rÚ parsesquarezCommandBit.parsesquareµse€à Œ ×!Ò! #Ñ&Ô&Ð&ØŒ|×&Ò&¥}°cÑ:Ô:ð Ø4Ø”,×(Ò(­¸Ñ<Ô<ˆØ ŠÑÔÐØˆrcóÒ—|j |¦«|j t|¦«sY| ¦«s1t  d| ¦«z¦«dS| ¦«St¦«  |j¦«}|  |  |¦«¦«|j S)zParse a literal bracket.zNo literal parameter found at: N) rsr\rVr+rrrr<rrÇrrrr†s rrzCommandBit.parseliteral¾s¸€à Œ ×!Ò! #Ñ&Ô&Ð&ØŒ|×&Ò&¥w°Ñ4Ô4ð #Ø—;’;‘=”=ð Ý— ’ Ð=ÀÇÂÑ@PÔ@PÑPÑQÔQÐQØtØ—=’=‘?”?Ð "Ý‘)”)×&Ò& t¤|Ñ4Ô4ˆØ Š×%Ò% cÑ*Ô*Ñ+Ô+Ð+ØŒÐrcó$—|j |¦«|j t|¦«sdSt¦« |j¦«}| | |¦«¦«|jS)z!Parse a square bracket literally.N)rsr\rVrrÇrrrr†s rÚparsesquareliteralzCommandBit.parsesquareliteralÊsx€à Œ ×!Ò! #Ñ&Ô&Ð&ØŒ|×&Ò&¥}°cÑ:Ô:ð Ø4Ý‘/”/×,Ò,¨T¬\Ñ:Ô:ˆØ Š×%Ò% cÑ*Ô*Ñ+Ô+Ð+ØŒÐrcó^—|j |¦«|j t|¦«s$t d|jz¦«dSt¦« |j¦« |¦«}|  |¦«|S)zParse a text parameter.zNo text parameter for N) rsr\rVr+rrrÍrÇr rr†s rr zCommandBit.parsetextÓs€à Œ ×!Ò! #Ñ&Ô&Ð&ØŒ|×&Ò&¥w°Ñ4Ô4ð Ý KŠKÐ0°4´<Ñ?Ñ @Ô @Ð @Ø4Ý‘)”)×&Ò& t¤|Ñ4Ô4×>Ò>¸sÑCÔCˆØ ŠÑÔÐØˆrN) r r!r"r#rurmr‡rrŠr r%rrr€r€¢st€€€€€Ø+Ð+ð<ð<ð<ððððððð ð ð ððððððððrr€có&—eZdZdZejZd„ZdS)r.z%An empty command (without parameters)có:—t|j¦«g|_dS)z"Parse a command without parametersN©r)r‚r]r$s rrézEmptyCommand.parsebitãs€å(¨¬Ñ9Ô9Ð:ˆŒ ˆ ˆ rN)r r!r"r#rJrârrrér%rrr.r.Þs1€€€€€Ø+Ð+àÔ'€Jð;ð;ð;ð;ð;rr.có&—eZdZdZejZd„ZdS)r6zFind a function which is represented by a symbol (like _ or ^)cóB—| ¦«tjvS)zFind the symbol)rr7rrr$s rråzSymbolFunction.detect s€à{Š{‰}Œ}¥Ô 9Ð9Ð9rcó—| | ¦«¦«| |j¦«t ¦« |j¦«|_| |¦«dS)rîN) rurr rÍr±r¶r‚r\rmr$s rrézSymbolFunction.parsebit# se€à Š˜Ÿ š ™ œ Ñ&Ô&Ð&Ø Š”ÑÔÐÝ"‘n”n×+Ò+¨D¬OÑ<Ô<ˆŒ Ø ×Ò˜CÑ Ô Ð Ð Ð rN) r r!r"r#rJrúrrrårér%rrr7r7 s@€€€€€ØDÐDàÔ.€Jð:ð:ð:ð!ð!ð!ð!ð!rr7có,—eZdZdZejZd„Zd„ZdS)r8z-A function where parameters are read as text.có†—t¦« |j¦«|_| |¦«dS)zParse a text parameterN)r±r¶r‚r\r r$s rrézTextFunction.parsebit0 s5€å"‘n”n×+Ò+¨D¬OÑ<Ô<ˆŒ Ø ŠsÑÔÐÐÐrcó—d|_dS)zSet the type to fontr-N)rHr7s rrSzTextFunction.process5 s €àˆŒ ˆ ˆ rN) r r!r"r#rJrûrrrérSr%rrr8r8+ s@€€€€€Ø3Ð3àÔ,€Jðððð ððððrr8có&—eZdZdZejZd„ZdS)r/z2A function of one parameter that changes the font.có<—d|_| ¦«dS)z.Simplify if possible using a single character.r-N)rHr–r7s rrSzFontFunction.process@ s!€àˆŒ Ø ×ÒÑ!Ô!Ð!Ð!Ð!rN)r r!r"r#rJrðrrrSr%rrr/r/: s3€€€€€Ø<Ð<ðÔ,€Jð"ð"ð"ð"ð"rr/cóD—eZdZdZd d„Zd„Zd„Zd„Zd„Zd„Z d „Z d „Z d S) Ú BigBracketzA big bracket generator.r›cóŒ—||_||_||_d|_|tjvrtj||_dSdS)z(Set the size and symbol for the bracket.N)rÐrDÚ alignmentr`rJrÞ)rrÐr•r¤s rrzBigBracket.__init__O sG€àˆŒ ؈Œ Ø"ˆŒØˆŒ Ø •mÔ/Ð /Ð /Ý'Ô3°GÔ<ˆDŒKˆKˆKð 0Ð /rc ó|—t|dtt|j¦«¦«z¦«}||¦«S)z%Return the nth piece for the bracket.Úgetpiece)rrprr`)rr-Úfunctions rr¦zBigBracket.getpieceX s6€å˜4 ­cµ#°d´kÑ2BÔ2BÑ.CÔ.CÑ!CÑDÔDˆØˆx˜‰ŒÐrcó—|jdS)z1Return the only piece for a single-piece bracket.r)r`©rr-s rÚ getpiece1zBigBracket.getpiece1] s€àŒ{˜1Œ~Ðrcóx—|dkr |jdS||jdz kr |jdS|jdS)zGGet the nth piece for a 3-piece bracket: parenthesis or square bracket.rrr©r`rÐr©s rÚ getpiece3zBigBracket.getpiece3a s@€à AŠ:ˆ:Ø”;˜q”>Ð !Ø D”I ‘MÒ !Ð !Ø”;˜r”?Ð "ØŒ{˜1Œ~Ðrcó´—|dkr |jdS||jdz kr |jdS||jdz dz kr |jdS|jdS)z7Get the nth piece for a 4-piece bracket: curly bracket.rrr|rr¬r©s rÚ getpiece4zBigBracket.getpiece4i sb€à AŠ:ˆ:Ø”;˜q”>Ð !Ø D”I ‘MÒ !Ð !Ø”;˜q”>Ð !Ø T”Y ‘] AÑ%Ò %Ð %Ø”;˜q”>Ð !ØŒ{˜1Œ~ÐrcóŠ—| |¦«}d|jzdz}t¦« ||¦«S)z'Get the bracket piece as an array cell.zspan class="bracket align-rØ)r¦r¤r×rw)rr-raÚspans rÚgetcellzBigBracket.getcells s>€à— ’ ˜eÑ$Ô$ˆØ+¨d¬nÑ<¸sÑBˆÝ‰{Œ{×#Ò# E¨4Ñ0Ô0Ð0rcó\—|jdks|js| ¦«Sg}t|j¦«D]M}| |¦«}| t ¦« |gd¦«¦«ŒNt ¦« |d¦«gS)z3Get the bracket as an array or as a single bracket.rúspan class="arrayrow"úspan class="array")rÐr`ÚgetsinglebracketÚranger²rr×rÛ)rÚrowsr-Úcells rÚ getcontentszBigBracket.getcontentsy s €à Œ9˜Š>ˆ> ¤ˆ>Ø×(Ò(Ñ*Ô*Ð *؈ݘ4œ9Ñ%Ô%ð Oð OˆEØ—<’< Ñ&Ô&ˆDØ KŠK ™ œ ×,Ò,¨d¨VÐ5LÑMÔMÑ NÔ NÐ NÐ NÝ‘ ” ×$Ò$ TÐ+?Ñ@Ô@ÐAÐArcó®—|jdkr#t¦« dd¦«gSt¦« |jd¦«gS)z$Return the bracket as a single sign.rÔr@zspan class="emptydot"rd)rDr×rwr7s rr¶zBigBracket.getsinglebracketƒ sM€à Œ=˜CÒ Ð Ý‘K”K×(Ò(¨Ð-DÑEÔEÐFÐ FÝ‘ ” ×$Ò$ T¤]Ð4KÑLÔLÐMÐMrN)r›) r r!r"r#rr¦rªr­r¯r²rºr¶r%rrr¢r¢L sŸ€€€€€ØÐð=ð=ð=ð=ðððð ððððððððð1ð1ð1ð BðBðBðNðNðNðNðNrr¢có—eZdZdZdZd„ZdS)ÚFormulaEquationzA simple numbered equation.Úequationcó’—t¦«|_| |j t |¦«¦«dS)úParse the arrayN)r¬r\rrsrªrNr$s rrézFormulaEquation.parsebit s9€å$Ñ&Ô&ˆŒ Ø Š”×'Ò'­ °cÑ:Ô:Ñ;Ô;Ð;Ð;Ð;rN©r r!r"r#rarér%rrr½r½Š s.€€€€€Ø!Ð!à €Eð<ð<ð<ð<ðØ?CñEôEˆŒ àˆ rcóÌ—|j |¦«| ¦«rdS| |j t |¦«¦«dSr)rsr\rÙrrªrNr$s rrézFormulaCell.parsebitž sW€Ø Œ ×!Ò! #Ñ&Ô&Ð&Ø <Š<‰>Œ>ð Ø ˆFØ Š”×'Ò'­ °cÑ:Ô:Ñ;Ô;Ð;Ð;Ð;rN)r r!r"r#rÅrér%rrrÃrÕ s8€€€€€Ø Ð ðððð <ð<ð<ð<ð—eZdZdZejdZd„Zd„Zd„Z dS)Ú FormulaRowzAn array row inside an arrayrXcób—||_t¦« dd¦«|_|S)Nr´T)Ú alignmentsr±r¶r\)rrÊs rÚ setalignmentszFormulaRow.setalignmentsª s*€Ø$ˆŒÝ"‘n”n×+Ò+Ð,CÀTÑJÔJˆŒ ؈ rcó¨—d}| |jd¬¦«| ¦«sr| |¦«}| |¦«| |¦«|dz }| |j¦«| ¦«¯rt|j¦«dkrt¦«|_ dSdS)zParse a whole rowrT)rrN) rrXrÙÚ createcellrérrIrr]r£r\)rr%r-r¹s rrézFormulaRow.parsebit¯ sÀ€àˆØ ŠtÔ)°DˆÑ9Ô9Ð9Ø—,’,‘.”.ð .Ø—?’? 5Ñ)Ô)ˆDØ MŠM˜#Ñ Ô Ð Ø HŠHT‰NŒNˆNØ Q‰JˆEØ MŠM˜$Ô,Ñ -Ô -Ð -ð —,’,‘.”.ð .õ ˆtŒ}Ñ Ô  Ò "Ð "Ý%™-œ-ˆDŒKˆKˆKð #Ð "rcóª—|j|t|j¦«z}|j t¦« |¦«S)z4Create the cell that corresponds to the given index.)rÊrrsrBrÃrÅ)rr-r¤s rrÍzFormulaRow.createcell¼ sA€à”O E­C°´Ñ,@Ô,@Ñ$@ÔAˆ ØŒ|×"Ò"¥;Ñ/Ô/×<Ò<¸YÑGÔGÐGrN) r r!r"r#rJrÝrXrËrérÍr%rrrÈrÈ¥ sY€€€€€Ø"Ð"à!Ô'¨Ô8€Mðððð (ð (ð (ðHðHðHðHðHrrÈcó*—eZdZdZd„Zd„Zd„Zd„ZdS)ÚMultiRowFormulazA formula with multiple rows.có—g|_d}| |¦«D]E}|rd}n| ¦«| |¦«| |¦«ŒFt |j¦«|_dS)z,Parse all rows, finish when no more row endsTFN)r¸Ú iteraterowsÚaddemptyréÚaddrowrrÐ)rr%ÚfirstÚrows rÚ parserowszMultiRowFormula.parserowsÅ sƒ€àˆŒ ؈Ø×#Ò# CÑ(Ô(ð ð ˆCØð Øð— ’ ‘”Ø LŠL˜Ñ Ô Ð Ø KŠK˜Ñ Ô Ð Ð Ý˜œ ‘N”NˆŒ ˆ ˆ rc#óFK—tjd} | |d¦«|j t ¦«}| |j¦«V—| |¦«r$|xj |  |¦«z c_ ndSŒ)z0Iterate over all rows, end when no more row endsrZTN) rJrÝrrsrBrÈrËrÊrãrDr)rr%rZrÖs rrÒzMultiRowFormula.iteraterowsÓ s™èè€å$Ô*¨>Ô:ˆ ð Ø NŠN˜<¨Ñ .Ô .Ð .Ø”,×%Ò%¥jÑ1Ô1ˆCØ×#Ò# D¤OÑ4Ô4Ð 4Ð 4Ð 4Ø|Š|˜LÑ)Ô)ð Ø ”  §¢¨|Ñ!<Ô!<Ñ< ” àð rcó€—|j t¦« |j¦«}t |jdj¦«D]Q\}}| |¦«}|  td¦«¦«|  |¦«ŒR|  |¦«dS)zAdd an empty row.ru N) rsrBrÈrËrÊr,r¸r]rÍrr)rÔ)rrÖr-Ú originalcellr¹s rrÓzMultiRowFormula.addemptyß s €àŒl×!Ò!¥*Ñ-Ô-×;Ò;¸D¼OÑLÔLˆÝ#,¨T¬Y°r¬]Ô-CÑ#DÔ#Dð ð Ñ ˆE<Ø—>’> %Ñ(Ô(ˆDØ HŠH•_ UÑ+Ô+Ñ ,Ô ,Ð ,Ø GŠGD‰MŒMˆMˆMØ Š CÑÔÐÐÐrcód—|j |¦«| |¦«dS)z2Add a row to the contents and to the list of rows.N)r¸rr)rrÖs rrÔzMultiRowFormula.addrowè s+€à Œ ×Ò˜ÑÔÐØ Љ Œ ˆ ˆ ˆ rN)r r!r"r#r×rÒrÓrÔr%rrrÐrРsV€€€€€Ø#Ð#ð #ð #ð #ð ð ð ððððððððrrÐcó"—eZdZdZdZd„Zd„ZdS)Ú FormulaArrayzAn array within a formularÝcó¨—t¦« dd¦«|_| |¦«| |¦«dS)rÀrµFN)r±r¶r\Úparsealignmentsr×r$s rrézFormulaArray.parsebitó sJ€å"‘n”n×+Ò+Ð,@À%ÑHÔHˆŒ Ø ×Ò˜SÑ!Ô!Ð!Ø ŠsÑÔÐÐÐrcóÆ—d|_| |¦«}|r||_| |¦«}g|_|D]}|j |¦«ŒdS)zParse the different alignmentsrœN)ÚvalignrŠrrÊr)rr%rÚss rrßzFormulaArray.parsealignmentsù sy€ðˆŒ Ø×)Ò)¨#Ñ.Ô.ˆØ ð "Ø!ˆDŒKà×#Ò# CÑ(Ô(ˆØˆŒØð &ð &ˆAØ ŒO× "Ò " 1Ñ %Ô %Ð %Ð %ð &ð &rN)r r!r"r#rarérßr%rrrÝrÝî s=€€€€€ØÐà €Eðððð &ð &ð &ð &ð &rrÝcó—eZdZdZdZd„ZdS)Ú FormulaMatrixz'A matrix (array with center alignment).Úmatrixcóœ—t¦« dd¦«|_d|_dg|_| |¦«dS)z(Parse the matrix, set alignments to 'c'.rµFrœN)r±r¶r\rárÊr×r$s rrézFormulaMatrix.parsebit sF€å"‘n”n×+Ò+Ð,@À%ÑHÔHˆŒ ؈Œ ؘ%ˆŒØ ŠsÑÔÐÐÐrNrÁr%rrrärä s.€€€€€Ø-Ð-à €Eðððððrräcó—eZdZdZdZd„ZdS)Ú FormulaCaseszA cases statementÚcasescóä—t¦«|_ddg|_| |¦«|jD]N}|jD]D}|j dd¦«|j td¦«¦«ŒEŒOt¦«  |jdd¦«}tt|j¦«dd¦«}|  ¦«|gz|_dS)zParse the casesr›zspan class="case align-l"Tu zspan class="bracketcases"rbN) r¬r\rÊr×r]r¶rr)r×rÛr¢rrº)rr%rÖr¹rÝÚbraces rrézFormulaCases.parsebit sç€å$Ñ&Ô&ˆŒ Ø ˜*ˆŒØ ŠsÑÔÐØ”=ð =ð =ˆCØœ ð =ð =Ø” ×"Ò"Ð#>ÀÑEÔEÐEØ” ×$Ò$¥_°UÑ%;Ô%;Ñ<Ô<Ð<Ð<ð =õ‘ ” ×$Ò$ T¤]Ð4OÐQUÑVÔVˆÝ3˜tœ}Ñ-Ô-¨s°CÑ8Ô8ˆØ×)Ò)Ñ+Ô+¨u¨gÑ5ˆŒ ˆ ˆ rNrÁr%rrrèrè s.€€€€€ØÐà €Eð 6ð 6ð 6ð 6ð 6rrècó—eZdZdZd„ZdS)ÚEquationEnvironmentz;A \begin{}...\end equation environment with rows and cells.cóð—|j dd¦«}t¦« d|zd¦«|_|t jvrt j||_nut  d|jz¦«t¦« d¦«|_|  td|z¦«¦«dg|_|  |¦«d S) zParse the whole environment.rÊr@zspan class="environment %s"FzUnknown equation environment rez \begin{%s} r›N) rarr±r¶r\rJrïrÊrrrr)r×)rr%Ú environments rrézEquationEnvironment.parsebit* sÓ€à”j×(Ò(¨¨bÑ1Ô1ˆ Ý"‘n”n×+Ò+Ø5°kÑAÀ5ñJôJˆŒ à -Ô4Ð 4Ð 4Ý+Ô8¸ÔEˆDŒOˆOå KŠKÐ7¸$¼*ÑDÑ EÔ EÐ Eå&™.œ.×/Ò/Ð0FÑGÔGˆDŒKØ HŠH•_ ^°KÑ%?Ñ@Ô@Ñ AÔ AÐ Aà"˜eˆDŒOØ ŠsÑÔÐÐÐrN)r r!r"r#rér%rrrírí' s)€€€€€ØCÐCðððððrrícóH—eZdZdZejddiZeee e gZ d„Z d„Z dS)Ú BeginCommandzEA \begin{}...\end command and what it entails (array, cases, aligned)rWr@cól—| |¦«}| |¦«}tjddz|zdz}| |¦«| |¦«| |¦«|xj| |¦«z c_|j |_ dS)zParse the begin commandrYrbrcN) rÚfindbitrJrÝrrérrDrrÐ)rr%rÍrÊros rrézBeginCommand.parsebitB sž€à×#Ò# CÑ(Ô(ˆØlŠl˜7Ñ#Ô#ˆÝÔ$ UÔ+¨cÑ1°GÑ;¸cÑAˆØ ŠvÑÔÐØ Š SÑÔÐØ Љ Œ ˆ Ø ˆ Œ ˜Ÿš vÑ.Ô.Ñ.ˆ Œ Ø”HˆŒ ˆ ˆ rcóæ—tjD]=}| dd¦«|jkr|j |¦«cSŒ>|j t ¦«}||_|S)z7Find the command bit corresponding to the \begin{piece}rÊr@)rñrarrarsrBrí)rrarHrÊs rrózBeginCommand.findbitM sr€å Ô&ð 1ð 1ˆDØ}Š}˜S "Ñ%Ô%¨¬Ò3Ð3Ø”|×*Ò*¨4Ñ0Ô0Ð0Ð0Ð0ð4àŒl×!Ò!Õ"5Ñ6Ô6ˆØˆŒ ؈ rN)r r!r"r#rJrÝrrr½rÝrèrärarérór%rrrñrñ; sX€€€€€ØMÐMàÔ% gÔ.°Ð3€Jà ˜l¨L¸-Ð H€Eð ð ð ðððððrrñcó(—eZdZejZd„Zd„ZdS)r-cóP—|j}| |¦«}|s$t d|jz¦«dSt |t ¦«si ttj ¦«}|  |¦«d}n3#t$r&t d|jz¦«YdSwxYw|j   d¦«rd}nd}|j d|…|z|j |d…z|_ tjd|j ¦«|_ dS) zParse a combining function.z)Missing parameter for combining function Nrz!No base character found for "%s".r.rrÚNFC)r‚ÚparsesingleparameterrrrÍrr)rJr'r=rXÚ IndexErrorrÒrÚ unicodedataÚ normalize)rr%Ú combiningr„Ú extractorr¢s rrézCombiningFunction.parsebit^ s1€à”Oˆ Ø×-Ò-¨cÑ2Ô2ˆ Øð Ý KŠKÐCÀdÄlÑRÑ SÔ SÐ SØ ˆFõ˜)¥_Ñ5Ô5ð ð Ý.­Ô/JÑKÔK Ø%×-Ò-¨iÑ8Ô8¸Ô; øÝð ð ð Ý— ’ Ð?À$Ä,ÑNÑOÔOÐOØð øøøð Ô × &Ò & xÑ 0Ô 0ð ØˆAˆAàˆAØ$Ô+¨B¨Q¨BÔ/°)Ñ;¸iÔ>NÈqÈrÈrÔ>RÑRˆ Ôå&Ô0°¸ Ô8HÑIÔIˆ ÔÐÐsÁ4BÂ,B>Â=B>cóŒ—|j |¦«| ¦«rdS| |¦«S)z&Parse a parameter, or a single letter.N)rsr\rÙrmr$s rrøz&CombiningFunction.parsesingleparameterx sA€à Œ ×!Ò! #Ñ&Ô&Ð&Ø <Š<‰>Œ>ð Ø4Ø×"Ò" 3Ñ'Ô'Ð'rN)r r!r"rJràrrrérør%rrr-r-Z s=€€€€€àÔ1€JðJðJðJð4(ð(ð(ð(ð(rr-có&—eZdZdZejZd„ZdS)r4z;A function that decorates some bit of text with an overset.có —|j}t¦« |d¦«|_| |¦«|_t ¦« d¦«|_|j   d|j¦«t ¦« d¦«|j_|  ¦«dS)zParse an overset-functionr¾úspan class="embellished"rúspan class="base"N© r‚r×rwrñrmr„r±r¶r\r]r!r–©rr%rñs rrézOversetFunction.parsebit… ó¢€à”ˆÝ‘k”k×*Ò*¨6°5Ñ9Ô9ˆŒ Ø×,Ò,¨SÑ1Ô1ˆŒÝ"‘n”n×+Ò+Ð,FÑGÔGˆŒ Ø Œ ×Ò˜Q ¤ Ñ,Ô,Ð,Ý ,¡¤× 5Ò 5Ð6IÑ JÔ JˆŒÔØ ×ÒÑ!Ô!Ð!Ð!Ð!rN)r r!r"r#rJrìrrrér%rrr4r4€ s1€€€€€ØAÐAàÔ/€Jð"ð"ð"ð"ð"rr4có&—eZdZdZejZd„ZdS)r9zŠ>˜( EÑ *Ô *ð 5Ø×#Ò# H¨eÑ4Ô4Ð 4ð 5ð 5rcóÞ—| ||dz¦«}|sdS| |||¦«}| |||¦«| |||¦«dS)zProcess a left bracket.rN)Ú findrightÚfindmaxÚresize)rr]r-Ú rightindexrÐs rr2zBracketProcessor.processleft$ sr€à—^’^ H¨e°a©iÑ8Ô8ˆ Øð Ø ˆFØ|Š|˜H e¨ZÑ8Ô8ˆØ Š H˜U”O TÑ*Ô*Ð*Ø Š H˜ZÔ(¨$Ñ/Ô/Ð/Ð/Ð/rcó:—| ||d¦«S)z0Check if the command at the given index is left.re©Úcheckdirectionrs rr1zBracketProcessor.checkleft- s€à×"Ò" 8¨E¤?°HÑ=Ô=Ð=rcó:—| ||d¦«S)z1Check if the command at the given index is right.rfr9rs rÚ checkrightzBracketProcessor.checkright1 s€à×"Ò" 8¨E¤?°IÑ>Ô>Ð>rcóF—t|t¦«sdS|j|kS)z6Check if the given bit is the desired bracket command.F)rr,rÍ)rrÊrÍs rr:zBracketProcessor.checkdirection5 s&€å˜#~Ñ.Ô.ð Ø5ØŒ{˜gÒ%Ð%rcóÜ—d}|t|¦«krV| ||¦«r|dz }| ||¦«r|dz}|dkr|S|dz }|t|¦«k°VdS)z9Find the right bracket starting at the given index, or 0.rrN)rr1r<)rr]r-Údepths rr4zBracketProcessor.findright; s‡€àˆØ•c˜(‘m”mÒ#Ð#Ø~Š~˜h¨Ñ.Ô.ð Ø˜‘ ØŠ˜x¨Ñ/Ô/ð Ø˜‘ ؘŠzˆzØ Ø Q‰JˆEð•c˜(‘m”mÒ#Ð#ðˆtrcóH—|||…}td„|D¦«¦«S)z@Find the max size of the contents between the two given indices.c3ó$K—|] }|jV—Œ dSrrÏrÑs rr“z+BracketProcessor.findmax..K s$èè€Ð6Ð6 G7”<Ð6Ð6Ð6Ð6Ð6Ð6r)r¼)rr]Ú leftindexr7Úsliceds rr5zBracketProcessor.findmaxH s.€à˜) JÐ.Ô/ˆÝÐ6Ð6¨vÐ6Ñ6Ô6Ñ6Ô6Ð6rcóÞ—| ¦«}|j dd¦«}t|||¦«}t ¦«|_| ¦«|_dS)z+Resize a bracket command to the given size.rVr@N)r=rÍrr¢r¬r\rºr])rrÍrÐr-r¤r•s rr6zBracketProcessor.resizeM sb€à×'Ò'Ñ)Ô)ˆ Ø”O×+Ò+¨D°"Ñ5Ô5ˆ ݘT 9¨iÑ8Ô8ˆÝ'Ñ)Ô)ˆŒØ"×.Ò.Ñ0Ô0ˆÔÐÐrN) r r!r"r#rSr2r1r<r:r4r5r6r%rrr/r/ s’€€€€€Ø'Ð'ð5ð5ð5ð0ð0ð0ð>ð>ð>ð?ð?ð?ð&ð&ð&ð ð ð ð7ð7ð7ð 1ð1ð1ð1ð1rr/có:—eZdZdZ ddgZd„Zd„Zd„Zd„ZdS) ÚParameterDefinitionz3The definition of a parameter in a hybrid function.)r`ra)rbrccóL—d|_d|_d|_d|_d|_dS)NF)rZrrr’Ú literalvaluer7s rrzParameterDefinition.__init__g s,€ØˆŒ ؈Œ ؈Œ ؈Œ Ø ˆÔÐÐrcó`—tjD]ñ\}}| |¦«r×|dkrd|_| d¦«s5t d| ¦«zdz¦«dS| ¦«|_| d¦«rd|_ | |¦«s2t d| ¦«z¦«dS|cSŒòt d | ¦«z¦«dS) z2Parse a parameter definition: [$0], {$x}, {$1!}...r`TrÀz$Wrong parameter name, did you mean $rÙNrÖzWrong parameter closing z'Wrong character in parameter template: ) rFÚ parambracketsrIrrrrrÛrZr)rr%ÚopeningÚclosings rr}zParameterDefinition.parsen s€å"5Ô"Cð ð Ñ ˆWgØ}Š}˜WÑ%Ô%ð Ø˜c’>>Ø$(D”MØ—}’} SÑ)Ô)ð Ý—K’KÐ FÈÏÊÉÌÑ VÐY\Ñ \Ñ]Ô]Ð]ؘ4˜4ØŸOšOÑ-Ô-” Ø—=’= Ñ%Ô%ð(Ø#'D”LØ—}’} WÑ-Ô-ð Ý—K’KÐ :¸S¿_º_Ñ=NÔ=NÑ NÑOÔOÐOؘ4˜4Ø ð õ  Š Ð=ÀÇÂÑ@QÔ@QÑQÑRÔRÐR؈trcóN—|jr`|jr| |¦«|_n| |¦«|_|jrt |j¦«|_dSdS|jr| |¦«|_dS| |¦«|_dS)z/Read the parameter itself using the definition.N) rrrŠrHrr)r’r‡rm)rr%r§s rÚreadzParameterDefinition.read s¯€à Œ<ð 6ØŒ}ð ?Ø$,×$?Ò$?ÀÑ$DÔ$DÔ!Ð!à$,×$9Ò$9¸#Ñ$>Ô$>Ô!ØÔ ð @Ý,¨TÔ->Ñ?Ô?” ð @ð @à Œ]ð 6Ø!×-Ò-¨cÑ2Ô2ˆDŒJˆJˆJà!×0Ò0°Ñ5Ô5ˆDŒJˆJˆJrcóh—d|jz}|jr|dt|j¦«zz }n|dz }|S)rœzparam rhz (empty))rZr’rp)rr)s rrxzParameterDefinition.__str__ s@€à˜DœIÑ%ˆØ Œ:ð !Ø dS ¤™_œ_Ñ,Ñ ,ˆFˆFà jÑ ˆF؈ rN) r r!r"r#rJrr}rNrxr%rrrFrF^ sl€€€€€Ø9Ð9Ø>ØAØ9Ø\à Ð,€Mð!ð!ð!ðððð& 6ð 6ð 6ðððððrrFcó2—eZdZdZ d„Zd„Zd„Zd„Zd„ZdS)ÚParameterFunctionzFA function with a variable number of parameters defined in a template.có”—i|_| |¦«D]*}| ||¦«||jd|jz<Œ+dS)z*Read the params according to the template.rÀN)ÚparamsÚ paramdefsrNrZ©rÚ readtemplater%Úparamdefs rÚ readparamszParameterFunction.readparams sX€àˆŒ ØŸš |Ñ4Ô4ð 8ð 8ˆHØ MŠM˜#˜tÑ $Ô $Ð $Ø/7ˆDŒK˜˜hœmÑ+Ñ ,Ð ,ð 8ð 8rc#óÊK—t|¦«}| ¦«s=t¦« |¦«}|r|V—| ¦«¯;dSdS)z*Read each param definition in the templateN)rLrÙrFr}rUs rrTzParameterFunction.paramdefs¤ ssèè€å˜<Ñ(Ô(ˆØ—,’,‘.”.ð Ý*Ñ,Ô,×2Ò2°3Ñ7Ô7ˆHØð Øð—,’,‘.”.ð ð ð ð ð rcó2—||jvrdS|j|S)zGet a parameter as parsed.N)rSrƒs rÚgetparamzParameterFunction.getparam¬ s!€à t”{Ð "Ð "Ø4ØŒ{˜4Ô Ð rcó6—| |¦«jS)zGet the value of a parameter.)r[r’rƒs rÚgetvaluezParameterFunction.getvalue² s€à}Š}˜TÑ"Ô"Ô(Ð(rcóP—| |¦«}|r|jsdS|jS)z%Get the literal value of a parameter.N)r[rH)rrZr1s rÚgetliteralvaluez!ParameterFunction.getliteralvalue¶ s3€à— ’ ˜dÑ#Ô#ˆØð ˜EÔ.ð Ø4ØÔ!Ð!rN) r r!r"r#rXrTr[r]r_r%rrrQrQ™ 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i"z\smallsetminus i"z\ast i"z\circ i"i"z\surd i"z \sqrt[3] i"z \sqrt[4] i"z\propto i"z\infty i "z\angle i!"z\measuredangle i""z\sphericalangle i#"z\mid i$"z\nmid i%"z \parallel i&"z \nparallel i'"z\wedge i("z\vee i)"z\cap i*"z\cup i+"z\int i,"z\iint i-"z\iiint i."z\oint i4"z \therefore i5"z \because i6"ú:i<"z\sim i="z \backsim i@"z\wr iA"z\nsim iB"z\eqsim iC"z\simeq iE"z\cong iG"z\ncong iH"z\approx iJ"z \approxeq iM"z\asymp iN"z\Bumpeq iO"z\bumpeq iP"z\doteq iQ"z\Doteq iR"z\fallingdotseq iS"z\risingdotseq iV"z\eqcirc iW"z\circeq i\"z \triangleq i`"z\neq ia"z\equiv id"z\leq ie"z\geq if"z\leqq ig"z\geqq ih"z\lneqq ii"z\gneqq ij"z\ll ik"z\gg il"z \between in"z\nless io"z\ngtr ip"z\nleq iq"z\ngeq ir"z \lesssim is"z\gtrsim iv"z \lessgtr iw"z \gtrless iz"z\prec i{"z\succ i|"z \preccurlyeq i}"z \succcurlyeq i~"z \precsim i"z \succsim i€"z\nprec i"z\nsucc i‚"z\subset iƒ"z\supset i†"z \subseteq i‡"z \supseteq iˆ"z \nsubseteq i‰"z \nsupseteq iŠ"z \subsetneq i‹"z \supsetneq iŽ"z\uplus i"z \sqsubset i"z \sqsupset i‘"z \sqsubseteq i’"z \sqsupseteq i“"z\sqcap i”"z\sqcup i•"z\oplus i–"z\ominus i—"z\otimes i˜"z\oslash i™"z\odot iš"z \circledcirc i›"z \circledast i"z \circleddash iž"z \boxplus iŸ"z \boxminus i "z \boxtimes i¡"z\boxdot i¢"z\vdash i£"z\dashv i¤"z\top i¥"z\bot i§"z\models i¨"z\vDash i©"z\Vdash iª"z\Vvdash i¬"z\nvdash i­"z\nvDash i®"z\nVdash i¯"z\nVDash i²"z\vartriangleleft i³"z\vartriangleright i´"z\trianglelefteq iµ"z\trianglerighteq i¸"z \multimap iº"z \intercal i»"z\veebar i¼"z \barwedge iÀ"z \bigwedge iÁ"z\bigvee iÂ"z\bigcap iÃ"z\bigcup iÄ"z \diamond iÅ"z\cdot iÆ"z\star iÇ"z\divideontimes iÈ"z\bowtie iÉ"z\ltimes iÊ"z\rtimes iË"z\leftthreetimes iÌ"z\rightthreetimes iÍ"z \backsimeq iÎ"z \curlyvee iÏ"z \curlywedge iÐ"z\Subset iÑ"z\Supset iÒ"z\Cap iÓ"z\Cup iÔ"z \pitchfork iÖ"z \lessdot i×"z\gtrdot iØ"z\lll iÙ"z\ggg iÚ"z \lesseqgtr iÛ"z \gtreqless iÞ"z \curlyeqprec iß"z \curlyeqsucc ià"z \npreceq iá"z \nsucceq iæ"z\lnsim iç"z\gnsim iè"z \precnsim ié"z \succnsim iê"z\ntriangleleft ië"z\ntriangleright iì"z\ntrianglelefteq ií"z\ntrianglerighteq iî"z\vdots iï"z\cdots iñ"z\ddots i#z\lceil i #z\rceil i #z\lfloor i #z\rfloor i#z \ulcorner i#z \urcorner i#z \llcorner i#z \lrcorner i"#z\frown i##z\smile iª#z \bracevert i°#z \lmoustache i±#z \rmoustache iÐ#z \arrowvert iÞ#z \overbrace iß#z \underbrace iÇ$z \circledR iÈ$z \circledS i²%z\blacktriangle i³%z\bigtriangleup i·%z\triangleright i¼%z\blacktriangledown i½%z\bigtriangledown iÁ%z\triangleleft iÇ%z \Diamond iÊ%z \lozenge iï%z \bigcirc iû%z\square iü%z \blacksquare i&z \bigstar i`&z \spadesuit ia&z \heartsuit ib&z \diamondsuit ic&z \clubsuit im&z\flat in&z \natural io&z\sharp i'z \checkmark i 'z \maltese iÂ'z\perp iË'z\diagup iÍ'z \diagdown iè'z\langle ié'z\rangle iî'z\lgroup iï'z\rgroup iõ'z\longleftarrow iö'z\longrightarrow i÷'z\longleftrightarrow iø'z\Longleftarrow iù'z\Longrightarrow iú'z\Longleftrightarrow iü'z \longmapsto ië)z\blacklozenge iõ)z \setminus i*z \bigodot i*z \bigoplus i*z \bigotimes i*z \biguplus i*z \bigsqcup i *z\iiiint i?*z\amalg i^*z\doublebarwedge i}*z \leqslant i~*z \geqslant i…*z \lessapprox i†*z \gtrapprox i‡*z\lneq iˆ*z\gneq i‰*z \lnapprox iŠ*z \gnapprox i‹*z \lesseqqgtr iŒ*z \gtreqqless i•*z \eqslantless i–*z \eqslantgtr i¯*z\preceq i°*z\succeq iµ*z \precneqq i¶*z \succneqq i·*z \precapprox i¸*z \succapprox i¹*z \precnapprox iº*z \succnapprox iÅ*z \subseteqq iÆ*z \supseteqq iË*z \subsetneqq iÌ*z \supsetneqq i+z\Box iÔz \mathbf{A}iÔz \mathbf{B}iÔz \mathbf{C}iÔz \mathbf{D}iÔz \mathbf{E}iÔz \mathbf{F}iÔz \mathbf{G}iÔz \mathbf{H}iÔz \mathbf{I}i Ôz \mathbf{J}i Ôz \mathbf{K}i Ôz \mathbf{L}i Ôz \mathbf{M}i Ôz \mathbf{N}iÔz \mathbf{O}iÔz \mathbf{P}iÔz \mathbf{Q}iÔz \mathbf{R}iÔz \mathbf{S}iÔz \mathbf{T}iÔz \mathbf{U}iÔz \mathbf{V}iÔz \mathbf{W}iÔz \mathbf{X}iÔz \mathbf{Y}iÔz \mathbf{Z}iÔz \mathbf{a}iÔz \mathbf{b}iÔz \mathbf{c}iÔz \mathbf{d}iÔz \mathbf{e}iÔz \mathbf{f}i Ôz \mathbf{g}i!Ôz \mathbf{h}i"Ôz \mathbf{i}i#Ôz \mathbf{j}i$Ôz \mathbf{k}i%Ôz \mathbf{l}i&Ôz \mathbf{m}i'Ôz \mathbf{n}i(Ôz \mathbf{o}i)Ôz \mathbf{p}i*Ôz \mathbf{q}i+Ôz \mathbf{r}i,Ôz \mathbf{s}i-Ôz \mathbf{t}i.Ôz \mathbf{u}i/Ôz \mathbf{v}i0Ôz \mathbf{w}i1Ôz \mathbf{x}i2Ôz \mathbf{y}i3Ôz \mathbf{z}i4ÔÚAi5ÔÚBi6ÔÚCi7ÔÚDi8ÔÚEi9ÔÚFi:ÔÚGi;ÔÚHi<ÔÚIi=ÔÚJi>ÔÚKi?ÔÚLi@ÔÚMiAÔÚNiBÔÚOiCÔÚPiDÔÚQiEÔÚRiFÔÚSiGÔÚTiHÔÚUiIÔÚViJÔÚWiKÔÚXiLÔÚYiMÔÚZiNÔÚaiOÔÚbiPÔÚciQÔÚdiRÔÚeiSÔÚfiTÔÚgiVÔÚiiWÔÚjiXÔÚkiYÔÚliZÔÚmi[ÔÚni\ÔÚoi]ÔÚpi^ÔÚqi_ÔÚri`ÔÚsiaÔÚtibÔÚuicÔÚvidÔÚwieÔÚxifÔÚyigÔÚziœÔz \mathcal{A}ižÔz \mathcal{C}iŸÔz \mathcal{D}i¢Ôz \mathcal{G}i¥Ôz \mathcal{J}i¦Ôz \mathcal{K}i©Ôz \mathcal{N}iªÔz \mathcal{O}i«Ôz \mathcal{P}i¬Ôz \mathcal{Q}i®Ôz \mathcal{S}i¯Ôz \mathcal{T}i°Ôz \mathcal{U}i±Ôz \mathcal{V}i²Ôz \mathcal{W}i³Ôz \mathcal{X}i´Ôz \mathcal{Y}iµÔz \mathcal{Z}iÕz \mathfrak{A}iÕz \mathfrak{B}iÕz \mathfrak{D}iÕz \mathfrak{E}i Õz \mathfrak{F}i Õz \mathfrak{G}i Õz \mathfrak{J}iÕz \mathfrak{K}iÕz \mathfrak{L}iÕz \mathfrak{M}iÕz \mathfrak{N}iÕz \mathfrak{O}iÕz \mathfrak{P}iÕz \mathfrak{Q}iÕz \mathfrak{S}iÕz \mathfrak{T}iÕz \mathfrak{U}iÕz \mathfrak{V}iÕz \mathfrak{W}iÕz \mathfrak{X}iÕz \mathfrak{Y}iÕz \mathfrak{a}iÕz \mathfrak{b}i Õz \mathfrak{c}i!Õz \mathfrak{d}i"Õz \mathfrak{e}i#Õz \mathfrak{f}i$Õz \mathfrak{g}i%Õz \mathfrak{h}i&Õz \mathfrak{i}i'Õz \mathfrak{j}i(Õz \mathfrak{k}i)Õz \mathfrak{l}i*Õz \mathfrak{m}i+Õz \mathfrak{n}i,Õz \mathfrak{o}i-Õz \mathfrak{p}i.Õz \mathfrak{q}i/Õz \mathfrak{r}i0Õz \mathfrak{s}i1Õz \mathfrak{t}i2Õz \mathfrak{u}i3Õz \mathfrak{v}i4Õz \mathfrak{w}i5Õz \mathfrak{x}i6Õz \mathfrak{y}i7Õz \mathfrak{z}i8Õz \mathbb{A}i9Õz \mathbb{B}i;Õz \mathbb{D}i<Õz \mathbb{E}i=Õz \mathbb{F}i>Õz \mathbb{G}i@Õz \mathbb{I}iAÕz \mathbb{J}iBÕz \mathbb{K}iCÕz \mathbb{L}iDÕz \mathbb{M}iFÕz \mathbb{O}iJÕz \mathbb{S}iKÕz \mathbb{T}iLÕz \mathbb{U}iMÕz \mathbb{V}iNÕz \mathbb{W}iOÕz \mathbb{X}iPÕz \mathbb{Y}i\Õz\Bbbk i Õz \mathsf{A}i¡Õz \mathsf{B}i¢Õz \mathsf{C}i£Õz \mathsf{D}i¤Õz \mathsf{E}i¥Õz \mathsf{F}i¦Õz \mathsf{G}i§Õz \mathsf{H}i¨Õz \mathsf{I}i©Õz \mathsf{J}iªÕz \mathsf{K}i«Õz \mathsf{L}i¬Õz \mathsf{M}i­Õz \mathsf{N}i®Õz \mathsf{O}i¯Õz \mathsf{P}i°Õz \mathsf{Q}i±Õz \mathsf{R}i²Õz \mathsf{S}i³Õz \mathsf{T}i´Õz \mathsf{U}iµÕz \mathsf{V}i¶Õz \mathsf{W}i·Õz \mathsf{X}i¸Õz \mathsf{Y}i¹Õz \mathsf{Z}iºÕz \mathsf{a}i»Õz \mathsf{b}i¼Õz \mathsf{c}i½Õz \mathsf{d}i¾Õz \mathsf{e}i¿Õz \mathsf{f}iÀÕz \mathsf{g}iÁÕz \mathsf{h}iÂÕz \mathsf{i}iÃÕz \mathsf{j}iÄÕz \mathsf{k}iÅÕz \mathsf{l}iÆÕz \mathsf{m}iÇÕz \mathsf{n}iÈÕz \mathsf{o}iÉÕz \mathsf{p}iÊÕz \mathsf{q}iËÕz \mathsf{r}iÌÕz \mathsf{s}iÍÕz \mathsf{t}iÎÕz \mathsf{u}iÏÕz \mathsf{v}iÐÕz \mathsf{w}iÑÕz \mathsf{x}iÒÕz \mathsf{y}iÓÕz \mathsf{z}ipÖz \mathtt{A}iqÖz \mathtt{B}irÖz \mathtt{C}isÖz \mathtt{D}itÖz \mathtt{E}iuÖz \mathtt{F}ivÖz \mathtt{G}iwÖz \mathtt{H}ixÖz \mathtt{I}iyÖz \mathtt{J}izÖz \mathtt{K}i{Öz \mathtt{L}i|Öz \mathtt{M}i}Öz \mathtt{N}i~Öz \mathtt{O}iÖz \mathtt{P}i€Öz \mathtt{Q}iÖz \mathtt{R}i‚Öz \mathtt{S}iƒÖz \mathtt{T}i„Öz \mathtt{U}i…Öz \mathtt{V}i†Öz \mathtt{W}i‡Öz \mathtt{X}iˆÖz \mathtt{Y}i‰Öz \mathtt{Z}iŠÖz \mathtt{a}i‹Öz \mathtt{b}iŒÖz \mathtt{c}iÖz \mathtt{d}iŽÖz \mathtt{e}iÖz \mathtt{f}iÖz \mathtt{g}i‘Öz \mathtt{h}i’Öz \mathtt{i}i“Öz \mathtt{j}i”Öz \mathtt{k}i•Öz \mathtt{l}i–Öz \mathtt{m}i—Öz \mathtt{n}i˜Öz \mathtt{o}i™Öz \mathtt{p}išÖz \mathtt{q}i›Öz \mathtt{r}iœÖz \mathtt{s}iÖz \mathtt{t}ižÖz \mathtt{u}iŸÖz \mathtt{v}i Öz \mathtt{w}i¡Öz \mathtt{x}i¢Öz \mathtt{y}i£Öz \mathtt{z}i¤Öi¥ÖiªÖz\mathbf{\Gamma}i«Öz\mathbf{\Delta}i¯Öz\mathbf{\Theta}i²Öz\mathbf{\Lambda}iµÖz \mathbf{\Xi}i·Öz \mathbf{\Pi}iºÖz\mathbf{\Sigma}i¼Öz\mathbf{\Upsilon}i½Öz \mathbf{\Phi}i¿Öz \mathbf{\Psi}iÀÖz\mathbf{\Omega}iäÖz\mathit{\Gamma}iåÖz\mathit{\Delta}iéÖz\mathit{\Theta}iìÖz\mathit{\Lambda}iïÖz \mathit{\Xi}iñÖz \mathit{\Pi}iôÖz\mathit{\Sigma}iöÖz\mathit{\Upsilon}i÷Öz \mathit{\Phi}iùÖz \mathit{\Psi}iúÖz\mathit{\Omega}iüÖiýÖiþÖiÿÖi×i×i×i×i×i×i×i×i×i ×i ×i ×i ×i×i×i×i×i×i×i×i×i×i×i×i×i×i×iÎ×z \mathbf{0}iÏ×z \mathbf{1}iÐ×z \mathbf{2}iÑ×z \mathbf{3}iÒ×z \mathbf{4}iÓ×z \mathbf{5}iÔ×z 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This module is provisional: the API is not settled and may change with any minor Docutils version. éN)Ú tex2unicharÚ toplevel_codeuâ„ÚhbaruΦuΞõΣuΨuΔuΘuÏ’õΠuΩõΓuΛ) ÚPhiÚXiÚSigmaÚPsiÚDeltaÚThetaÚUpsilonÚPiÚOmegaÚGammaÚLambdau lim infu lim supu inj limu proj limÚlim) ÚliminfÚlimsupÚinjlimÚprojlimÚ varlimsupÚ varliminfÚ varprojlimÚ varinjlimÚ operatornamec#óK—|]}||fV—Œ dS©N©)Ú.0Únames ú€/builddir/build/BUILD/imunify360-venv-2.6.2/opt/imunify360/venv/lib/python3.11/site-packages/docutils/utils/math/latex2mathml.pyú r$Bs>èè€ðAðA $$˜ðAðAðAðAðAðAó)ÚarccosÚarcsinÚarctanÚargÚcosÚcoshÚcotÚcothÚcscÚdegÚdetÚdimÚexpÚgcdÚhomÚkerÚlgÚlnÚlogÚPrÚsecÚsinÚsinhÚtanÚtanh)TTFz0.278em)FTTú0.444em)FTFz0.667em)FFTr?)ÚbmodÚpmodÚmodÚpodÚboldÚitalicÚ monospaceÚnormalz sans-serifÚscriptz bold-italicz double-struckÚfrakturzsans-serif-italiczsans-serif-bold-italic) Ú boldsymbolÚmathbfÚmathitÚmathttÚmathrmÚmathsfÚmathcalÚmathbfitÚmathbbÚmathfrakÚmathsfitÚ mathsfbfitÚmathscrÚ backslashú\Úuparrowuâ†‘Ú downarrowuâ†“Ú updownarrowu↕ÚUparrowuâ‡‘Ú Downarrowuâ‡“Ú Updownarrowuâ‡•Ú lmoustacheuâŽ°Ú rmoustacheuâŽ±Ú arrowvertuâÚ bracevertu⎪Úlvertú|ÚlVertõ‖ÚrvertÚrVertÚ ArrowvertÚnleqqu≦̸Úngeqquâ‰§Ì¸Ú nleqslantuâ©½Ì¸Ú ngeqslantu⩾̸Úngtrlessu≹Únlessgtruâ‰¶Ì¸Ú nsubseteqquâ«…Ì¸Ú nsupseteqquâ«†Ì¸Ú centerdotuâ¬Ú varnothinguâŒ€Ú varproptouâˆÚtriangleuâ–³Ú triangledownuâ–½Údotsbõ⋯Údotscu…ÚdotsiÚdotsmÚsupÚinfÚmaxÚmin)Údotsorr|r}r~ru∼u≈)ÚthicksimÚ thickapproxu∣u∥u∤u∦u⌢u⌣u∫)ÚshortmidÚ shortparallelÚ nshortmidÚnshortparallelÚ smallfrownÚ smallsmileÚsmallint)ÚbigcapÚbigcupÚbigodotÚbigoplusÚ bigotimesÚbigsqcupÚbiguplusÚbigveeÚbigwedgeÚcoprodÚintopÚointopÚprodÚsumrr~rr|r}Ú2emÚ1emz0.2778emz0.25emz0.2222emz0.1667emz -0.1667emz -0.2222emz -0.2778em) ÚqquadÚquadÚ thickspaceú;ú Úmedspaceú:Ú thinspaceú,Ú negthinspaceú!Ú negmedspaceÚ negthickspace)õ´uÌ)uˉuÌ„)u˘ŭ)uˇuÌŒ)uË™u̇)õ¨ü)rxu⃛)ú`uÌ€)uˆuÌ‚)uËšuÌŠ)uËœũ)õ→u⃗) ÚacuteÚbarÚbreveÚcheckÚdotÚddotÚdddotÚgraveÚhatÚmathringÚtildeÚvec)uâžçš™™™™™É¿)õâ†r·)u↔r·)Ú_r·)rªr·)ú^gà¿)ú~g333333Ó¿)Ú overbraceÚ overleftarrowÚoverleftrightarrowÚoverlineÚoverrightarrowÚwidehatÚ widetilde)uâŸgš™™™™™¹?)r¹gš™™™™™é¿)Ú underbraceÚunderleftarrowÚunderleftrightarrowÚ underlineÚunderrightarrowu−u∶õ )ú-r r»uℾuâ„¿õâ…€uℽuℼ)rrruγuÏ€)ÚrË)ú(ú))ú[ú])Ú{Ú})rdrd)rfrf)rÐrË)ÚmatrixÚ smallmatrixÚpmatrixÚbmatrixÚBmatrixÚvmatrixÚVmatrixÚcasesT)Ú displaystyleÚ scriptlevelFéé)rÚÚ textstyleÚ scriptstyleÚscriptscriptstyleÚcfrac)rÚrÛÚCLASSrÚrÞÚ linethickness)ÚfracráÚdfracÚtfracÚbinomÚdbinomÚtbinom)rËz1.2emz1.623emz2.047emz2.470eméé) ÚleftÚrightÚbiglÚbigrÚBiglÚBigrÚbigglÚbiggrÚBigglÚBiggrcóÜ—eZdZdZdZ dZ dZed¦«ded¦«ded¦«d d d iZd d dœZ dZ d„Z d„Z d„Z d„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zdd„Zd„Zdd„Zd„ZdS) Úmathz8Base class for MathML elements and root of MathML trees.Nrúz>ú&z&ia z⁡ÚtrueÚfalse)TFÚspancó¾—g|_| |¦«i|_| ¦«D]$}|||j| ¦«<Œ%dS)aSet up node with `children` and `attributes`. Attributes are downcased: Use CLASS to set "class" value. >>> math(mn(3), CLASS='test') math(mn(3), class='test') >>> math(CLASS='test').toprettyxml() ' ' N)ÚchildrenÚextendÚ attributesÚkeysÚlower)ÚselfrÿrÚkeys r#Ú__init__z math.__init__Zsd€ðˆŒ Ø Š HÑÔÐàˆŒØ—?’?Ñ$Ô$ð ;ð ;ˆCð,6°c¬?ˆDŒO˜CŸIšI™KœKÑ (Ð (ð ;ð ;r%cóž—d„t|dg¦«D¦«}t|d¦«r'| t|j¦«¦«t |t ¦«r|jr| d¦«|d„|j  ¦«D¦«z }|j j dd  |¦«zzS)Ncó,—g|]}t|¦«‘ŒSr )Úrepr)r!Úitems r#ú z!math.__repr__..ns€ÐHÐHÐH $•4˜‘:”:ÐHÐHÐHr%rÿÚdataz switch=Truecó&—g|]\}}|®|›d|›‘ŒS)Nú=r ©r!ÚkÚvs r#r z!math.__repr__..ss2€ð&ð&ð&¡t q¨!Ø}ð˜Q˜Q  NØ$}}r%z(%s)z, ) ÚgetattrÚhasattrÚappendr r Ú isinstanceÚ MathSchemaÚswitchrÚitemsÚ __class__Ú__name__Újoin)rÚcontents r#Ú__repr__z math.__repr__msЀØHÐH­'°$¸ ÀBÑ*GÔ*GÐHÑHÔHˆÝ 4˜Ñ Ô ð ,Ø NŠN4 ¤ ™?œ?Ñ +Ô +Ð +Ý dJÑ 'Ô 'ð *¨D¬Kð *Ø NŠN˜=Ñ )Ô )Ð )Øð&ð&¨t¬×/DÒ/DÑ/FÔ/Fð&ñ&ô&ñ &ˆðŒ~Ô&¨°$·)²)¸GÑ2DÔ2DÑ)DÑDÐDr%có*—t|j¦«Sr)Úlenrÿ©rs r#Ú__len__z math.__len__xs€Ý4”=Ñ!Ô!Ð!r%có—|j|Sr©r)rrs r#Ú __getitem__zmath.__getitem__}s€ØŒ˜sÔ#Ð#r%có—||j|<dSrr#)rrr s r#Ú __setitem__zmath.__setitem__€s€Ø#ˆŒ˜ÑÐÐr%có&—|jj|i|¤ŽSr)rÚget)rÚargsÚkwargss r#r(zmath.getƒs€Ø"ˆtŒÔ" DÐ3¨FÐ3Ð3Ð3r%cóD—|jduot|¦«|jkS)z;Return boolean indicating whether children may be appended.N)Ú nchildrenrr s r#Úfullz math.full†s&€à” dÐ*ð0ݘ‘I”I ¤Ò/ð 1r%cóä—| ¦«rtd|z¦«‚|j |¦«||_| ¦«r| ¦«S|S)zšAppend child and return self or first non-full parent. If self is full, go up the tree and return first non-full node or `None`. zNode %s already full!)r-Ú SyntaxErrorrÿrÚparentÚclose)rÚchilds r#rz math.append‹sh€ð 9Š9‰;Œ;ð >ÝÐ5¸Ñ<Ñ=Ô=Ð =Ø Œ ×Ò˜UÑ#Ô#Ð#؈Œ Ø 9Š9‰;Œ;ð Ø—:’:‘<”<Р؈ r%có:—|D]}| |¦«Œ|Sr)r)rrÿr2s r#rz math.extend™s+€Øð ð ˆEØ KŠK˜Ñ Ô Ð Ð Øˆ r%cóz—|j}|1| ¦«r|j}|| ¦«°|S)z7Close element and return first non-full parent or None.)r0r-)rr0s r#r1z math.closežs=€à”ˆØÐ  V§[¢[¡]¤]Ð Ø”]ˆFðÐ  V§[¢[¡]¤]Ð àˆ r%cóP—d | ¦«¦«S)z,Return XML representation of self as string.rË)rÚ_xmlr s r#Ú toprettyxmlzmath.toprettyxml¥s€àwŠwt—y’y‘{”{Ñ#Ô#Ð#r%cóz—| ¦«g| |¦«zd|jjzgzS)Nz)Ú xml_starttagÚ _xml_bodyrr©rÚlevels r#r6z math._xml©sB€Ø×"Ò"Ñ$Ô$Ð%Ø—.’. Ñ'Ô'ñ(à˜Tœ^Ô4Ñ4Ð5ñ6ð 7r%có”—d„|j ¦«D¦«}dd |jjg|¢R¦«zS)Nc3óšK—|]F\}}|®|›dt|¦« dd¦« dd¦«›dV—ŒGdS)Nz="ÚTruerûÚFalserüú")ÚstrÚreplacers r#r$z$math.xml_starttag..¯shèè€ð#ð#ÙQ˜ØMð ˜a˜a¥ Q¡¤§¢°¸Ñ!?Ô!?×!GÒ!GÈÐQXÑ!YÔ!YÐ!YÐ!YÐZà!MMMð#ð#r%z<%s>rž)rrrrr)rÚattrss r#r9zmath.xml_starttag®sW€ð#ð#Ø!œ_×2Ò2Ñ4Ô4ð#ñ#ô#ˆð˜Ÿš $¤.Ô"9Ð!B¸EÐ!BÐ!BÑCÔCÑCÐCr%cóâ—g}|jD]J}| dd|dzzg¦«| | |dz¦«¦«ŒK| dd|zg¦«|S)Nú z rÜ)rÿrr6)rr<Úxmlr2s r#r:zmath._xml_body´s}€ØˆØ”]ð ,ð ,ˆEØ JŠJ˜˜d e¨A¡gÑ.Ð/Ñ 0Ô 0Ð 0Ø JŠJu—z’z %¨¡'Ñ*Ô*Ñ +Ô +Ð +Ð +Ø Š D˜$ ™,Ð'Ñ(Ô(Ð(؈ r%có”— |ddkS#t$r/ |j ¦«cYS#t$rYYdSwxYwwxYw)z;Return true, if `self` or a parent has ``display='block'``.ÚdisplayÚblockF)ÚKeyErrorr0Úis_blockÚAttributeErrorr s r#rLz math.is_block¼st€ð ؘ ”? gÒ-Ð -øÝð ð ð ð Ø”{×+Ò+Ñ-Ô-Ð-Ð-Ð-øÝ!ð ð ð Øuuuð øøøð øøøs(‚ Ž A™4±A´ A¾AÁAÁA©r)rÚ __module__Ú __qualname__Ú__doc__r,r0Ú_levelÚordÚ xml_entitiesÚ _boolstringsÚ html_tagnamerrr!r$r&r(r-rrr1r7r6r9r:rLr r%r#r÷r÷Dsp€€€€€ØBÐBà€IØ-à €FØ)Ø €F𠈈C‰Œ&Ø ˆˆC‰Œ&Ø ˆˆC‰Œ'ØÐ#ð €Lð!¨Ð1Ð1€LØCà€LØ+ð;ð;ð;ð& Eð Eð Eð"ð"ð"ð $ð$ð$ð$ð$ð$ð4ð4ð4ð1ð1ð1ð ð ð ðððð ððð$ð$ð$ð7ð7ð7ð7ð DðDðDð ððððððððr%r÷có—eZdZdS)ÚmtableN©rrOrPr r%r#rXrXâó€€€€€€€r%rXcó"‡—eZdZdZˆfd„ZˆxZS)Úmrowz*Group sub-expressions as a horizontal row.có•—|j}t|t¦«rU|jdkrJt |j¦«|_|j|_|jD] }||_Œ | ¦«St |¦«dkre |jd|j|j |¦«<||jd_n$#ttf$r|jdcYSwxYwt¦« ¦«S)z¹Close element and return first non-full parent or None. Remove , if it is single child and the parent infers an mrow or if it has only one child element. rÜr) r0rÚ MathRowSchemar,rrÿr1ÚindexrMÚ ValueErrorÚsuper)rr0r2rs €r#r1z mrow.closeîsüø€ð ”ˆÝ fmÑ ,Ô ,ð "°Ô1AÀQÒ1FÐ1FÝ" 6¤?Ñ3Ô3ˆFÔ Ø"œmˆFŒOØœð &ð &Ø%” Ø—<’<‘>”>Ð !Ý ˆt‰9Œ9˜Š>ˆ>ð (Ø?C¼}ÈQÔ?O” ¤× 5Ò 5°dÑ ;Ô ;Ñ<Ø*0” ˜aÔ Ô'Ð'øÝ"¥JÐ/ð (ð (ð (Ø”} QÔ'Ð'Ð'Ð'ð (øøøå‰wŒw}Š}‰ŒÐsÂ?CÃC(Ã'C()rrOrPrQr1Ú __classcell__©rs@r#r\r\ës>ø€€€€€Ø4Ð4ðððððððððr%r\có—eZdZdZdS)r^zCBase class for elements treating content as a single inferred mrow.N)rrOrPrQr r%r#r^r^ s€€€€€ØMÐMÐMÐMr%r^có—eZdZdS)ÚmtrNrYr r%r#rfrfrZr%rfcó—eZdZdS)ÚmtdNrYr r%r#rhrhrZr%rhcó—eZdZdZdS)ÚmencloserÜN©rrOrPr,r r%r#rjrjó€€€€€Ø€I€I€Ir%rjcó—eZdZdZdS)ÚmphantomrÜNrkr r%r#rnrnrlr%rncó—eZdZdZdS)ÚmsqrtrÜNrkr r%r#rprprlr%rpcó—eZdZdZdS)ÚmstylerÜNrkr r%r#rrrrrlr%rrcó.‡—eZdZdZdZˆfd„Zdd„ZˆxZS)Ú MathTokenzbToken Element: contains textual data instead of children. Base class for mo, mi, and mn. rc óH•—||_t¦«jdi|¤ŽdS)Nr )r rar)rr rrs €r#rzMathToken.__init__)s-ø€ØˆŒ ؉ŒÔÐ&Ð&˜:Ð&Ð&Ð&Ð&Ð&r%có\—t|j¦« |j¦«gSr)rBr Ú translaterTr;s r#r:zMathToken._xml_body-s$€ÝD”I‘”×(Ò(¨Ô):Ñ;Ô;Ð<Ð>> tex_cmdname('mymacro2') # up to first non-letter ('mymacro', '2') >>> tex_cmdname('name 2') # strip trailing whitespace ('name', '2') >>> tex_cmdname('_2') # single non-letter character ('_', '2') z([a-zA-Z]+) *(.*)Nz(.?)(.*)rÜrÝ©ÚreÚmatchÚgroup©ÚstringÚms r#Ú tex_cmdnamer¡ˆsK€õ ŒÐ% vÑ.Ô.€AØ€yÝ ŒH[ &Ñ )Ô )ˆØ 7Š71‰:Œ:q—w’w˜q‘z”zÐ !Ð!r%cóŒ—tjd|¦«}|€d|fS| d¦«| d¦«fS)zmReturn leading number literal and remainder of `string`. >>> tex_number('123.4') ('123.4', '') z([0-9.,]*[0-9]+)(.*)NrËrÜrÝršržs r#Ú tex_numberr£¥sD€õ ŒÐ(¨&Ñ1Ô1€AØ€yØ6ˆzÐØ 7Š71‰:Œ:q—w’w˜q‘z”zÐ !Ð!r%cóŒ—tjd|tj¦«}| dddd¦«\}}}}|p|p||fS)zÝReturn first simple TeX token and remainder of `string`. >>> tex_token('\command{without argument}') ('\command', '{without argument}') >>> tex_token('or first character') ('o', 'r first character') a%((?P\\[a-zA-Z]+)\s* # TeX command, skip whitespace |(?P\\.) # one-character TeX command |(?P.?)) # first character (or empty) (?P.*$) # remaining part of string ÚcmdÚchcmdÚchÚ remainder)r›rœÚVERBOSEr)rŸr r¥r¦r§r¨s r#Ú tex_tokenrªÀsZ€õ Œððbœjñ  *ô *€Að !"§¢¨¨w¸¸kÑ JÔ JÑ€CˆIØ Ð %Ð ˜2˜yÐ (Ð(r%có—d}d}d}| d¦«s|dd…|dd…fS|D]4}|dz }|rd}n |dkrd}n|dkr|dz }n |dkr|dz}|dkrnŒ5td ¦«‚|d|dz …||d…fS) z°Return first TeX group or token and remainder of `string`. >>> tex_group('{first group} returned without brackets') ('first group', ' returned without brackets') rFrÐNrÜrXTrÑzGroup without closing bracket)Ú startswithr/)rŸÚ split_indexÚ nest_levelÚescapeÚcs r#Ú tex_groupr±ßsç€ð€KØ€JØ €Fà × Ò ˜SÑ !Ô !ð&àbqbŒz˜6 ! " "œ:Ð%Ð%Ø ð ;ð ;ˆØqш Ø ð ØˆFˆFØ $ŠYˆY؈FˆFØ #ŠXˆXØ ˜!‰OˆJˆJØ #ŠXˆXØ ˜!‰OˆJØ ˜Š?ˆ?Ø ˆEð õÐ9Ñ:Ô:Ð:Ø !K ‘M/Ô " F¨;¨<¨<Ô$8Ð 8Ð8r%có‚—t|¦«\}}|dkr$t| ¦«¦«\}}||fS)aReturn first TeX group or token and remainder of `string`. >>> tex_token_or_group('\command{without argument}') ('\command', '{without argument}') >>> tex_token_or_group('first character') ('f', 'irst character') >>> tex_token_or_group(' also whitespace') (' ', 'also whitespace') >>> tex_token_or_group('{first group} keep rest') ('first group', ' keep rest') rÐ)rªr±Úlstrip)rŸr)r¨s r#Útex_token_or_groupr´sA€õ˜vÑ&Ô&N€CˆØ ˆc‚z€zÝ" 6§=¢=¡?¤?Ñ3Ô3‰ˆˆYØ  ˆ>Ðr%có—tjd|tj¦«}|€| d¦«sd|fS | d¦«| d¦«fS#t $rt d|z¦«‚wxYw)a$Return optional argument and remainder. >>> tex_optarg('[optional argument] returned without brackets') ('optional argument', ' returned without brackets') >>> tex_optarg('{empty string, if there is no optional arg}') ('', '{empty string, if there is no optional arg}') z½\s* # leading whitespace \[(?P(\\]|[^\[\]]|\\])*)\] # [group] without nested groups (?P.*$) NrÎrËÚoptargr¨z+Could not extract optional argument from %r)r›rœr©r¬rrMr/ržs r#Ú tex_optargr·&s¢€õ Œððbœjñ *ô *€Að €y˜×*Ò*¨3Ñ/Ô/€yØ6ˆzÐðRØwŠwxÑ Ô  !§'¢'¨+Ñ"6Ô"6Ð6Ð6øÝ ðRðRðRÝÐGÈ&ÑPÑQÔQÐQðRøøøs ½)A'Á'BcóB—d | ¦«¦«}|}t|¦«dkra|d|dd…}}|dkrŒ-|dkr(t|¦«\}}t |||¦«\}}n|dvrt ||¦«}nð|dkr't ¦«}| |¦«|}nÃ|dkr| ¦«}n§|d kr9t¦«}| ¦« |¦«|}nh|  ¦«r$| t|¦«¦«}n0|  ¦«r8t|¦«\}}| t||z¦«¦«}nä|tvryi}|d krE|jr>|jd }t#|d d ¦«d vs| d¦«dkrd|d<| t't|fi|¤Ž¦«}nb|dvr%| t'|d¬¦«¦«}n9|dvr#| t'|¦«¦«}nt)d|z¦«‚t|¦«dk°a|S)uÎAppend MathML conversion of `string` to `node` and return it. >>> parse_latex_math(math(), r'lpha') math(mi('α')) >>> parse_latex_math(mrow(), r'x_{n}') mrow(msub(mi('x'), mi('n'))) ržrrÜNrXú_^rÐrÑrúrÉr…r z([=ÚclassÚmathopenÚprefixÚformz/()[]|F©Ústretchyz +*=<>,.!?`';@zUnsupported character: "%s")rÚsplitrr¡Ú handle_cmdÚhandle_script_or_limitr\rr1rhÚisalphar{Úisdigitr£rÚanomalous_charsrÿrr(r}r/) ÚnoderŸÚtreer°ÚcmdnameÚnew_nodeÚnumberrÚ previous_nodes r#Úparse_latex_mathrÌEsˆ€ðXŠXf—l’l‘n”nÑ %Ô %€FØ €Då ˆf‰+Œ+˜Š/‰/à˜1”I˜v a b bœzˆ6ˆà Š8ˆ8Ø Ø Š9ˆ9Ý)¨&Ñ1Ô1‰OˆGVÝ% g¨t°VÑ<Ô<‰LˆD&‘&Ø $ˆYˆYÝ)¨$°Ñ2Ô2ˆD‰DØ #ŠXˆXÝ‘v”vˆHØ KŠK˜Ñ !Ô !Ð !؈D‰DØ #ŠXˆXØ—:’:‘<”<ˆD‰DØ #ŠXˆXÝ‘u”uˆHØ JŠJ‰LŒL× Ò  Ñ )Ô )Ð )؈D‰DØ YŠY‰[Œ[ð AØ—;’;r !™uœuÑ%Ô%ˆD‰DØ YŠY‰[Œ[ð AÝ'¨Ñ/Ô/‰NˆFFØ—;’;r ! F¡(™|œ|Ñ,Ô,ˆDˆDØ •/Ð !Ð !ðˆJØCŠxˆx˜DœMˆxØ $¤ ¨bÔ 1 ݘM¨6°3Ñ7Ô7¸5Ð@Ð@Ø$×(Ò(¨Ñ1Ô1°ZÒ?Ð?Ø)1J˜vÑ&Ø—;’;r¥/°!Ô"4ÐCÐC¸ ÐCÐCÑDÔDˆDˆDØ (ˆ]ˆ]Ø—;’;r !¨eÐ4Ñ4Ô4Ñ5Ô5ˆDˆDØ /Ð !Ð !Ø—;’;r !™uœuÑ%Ô%ˆDˆDåÐ;¸aÑ?Ñ@Ô@Ð @õS ˆf‰+Œ+˜Š/‰/ðT €Kr%có0—|tvrAtt|¦«}|tvrd|d<| |¦«}||fS|tvr|dkr$t |¦«\}}t|d¬¦«}ntt|¦«}|dkrt |td¦«¦«}nm|dkr t|td ¦«d ¬ ¦«}nG|d krt |td ¦«¦«}n#|dkrt |td¦«¦«}| |¦«}|r,|ddvr"| td¦«¦«}||fS|tvr/t|\}}}}|r)| td||¬¦«¦«}||fS|  ¦«rd}| t|¬¦«¦«}|r$| tdd ¬¦«¦«}|rE| td¦«¦«}| td¬¦«¦«}t |¦«\}}t||¦«}|r$| tdd ¬¦«¦«}||fS|tvró|dkrddi} ndt|i} |dkrd| d<t |¦«\}} | d¦«r#t |dd …|¦«}|d!krt  ||¦«}| ¦«s|d"kr$| t|fi| ¤Ž¦«}|| fSt%dmi| ¤Ž} | | ¦«| |fS|d#kr*| td$d%d&d'¬(¦«¦«}||fS|d)krt|d*¦«}||fS|t&vr3| tt&|d+¬,¦«¦«}||fS|t(vr3| tt(|d-¬.¦«¦«}||fS|t*vrUi} |t,vr|r|dd/vrd0| d1<n |d2vrd3| d<| tt*|fi| ¤Ž¦«}||fS|t.vr i} t0t.|} t |¦«\}}|d4vrF t2| d¦«}n$#t6$rt9d5|›d6|›d7¦«‚wxYw| r| | d8<| | d9<d0| d:<|d;ks| d<¦«r%t=¦«}| |¦«|}|d=kr | t|fi| ¤Ž¦«|d>ks| d?¦«r| ¦«}||fS|d@kr©tA|¦«\}}|dAkr|dB|zfS| d¦«r7 t*|dd …}n #t6$rt9dC|z¦«‚wxYwtCj"dD|dEz¦«}| t|¦«¦«}||fS|dFvr’t |¦«\}}| #dG¦«}tI|¦«D]W\}}|dHzdkr9tKj&dIdJ|¦«}| tO|¦«¦«}ŒGt||¦«ŒX||fS|tPvr5| tdKtP|z¬¦«¦«}||fS|dLvrntS|¦«\}}| dM¦«rdNtU|d dO…¦«dPz z}| tdK|z¬¦«¦«}||fS|dQkr'tW¦«}| |¦«||fS|dRkr)tYdS¬T¦«}| |¦«||fS|dUkrt[|¦«\}}|rDt=¦«}t]|d0¬V¦«}t||¦«| ¦«nt_¦«}| |¦«||fS|t`vrÝt`|\}}|dWkrHt[|¦«\}}d;d>dXœ}||vr-| 1¦«}|||dY<dZ||z|d<tedmi|¤Žx}}| d[¦«r4t=td¦«|td¦«d[¬\¦«}d]|_3|r t%|fi|¤Ž}| |¦«||fS|dkrZti¦«}tk|¦«}| ¦« ¦« |¦«||fS|tlvrgtttl|dd ¬¦«d0¬V¦«}|d^krd |j7dd_<||_8| |¦«||fS|trvrRtttr|dd0¬ ¦«d0d ¬`¦«}||_8| |¦«||fS|dakr)td0¬V¦«}| |¦«||fS|ttvrOt ttt|d¦«d0¬V¦«}||_8| |¦«||fS|dbkr)t d0¬V¦«}| |¦«||fS|dcvrÂt[|¦«\}}tt*dd|dd …z¦«}|ratw|¦«}tt=¦«|¦«}ty|¦«dkr |j7d}| |¦«nt|¦«}| |¦«||fS|tzvr»t%dmitz|¤Ž}d |_3t}|t<¦«rLty|¦«dkr9||j?j7|j?j7 @|¦«<|j?|_?n8|jAjBdekr| |¦«nt9df|z¦«‚||fS| dg¦«r.tA|¦«\}} |dhvr| }t‡|||¬i¦«}||fS|djkrt‰||¦«S|dkkrt‹||¦«St9dl|z¦«‚)nujProcess LaTeX command `name` followed by `string`. Append result to `node`. If needed, parse `string` for command argument. Return new current node and remainder of `string`: >>> handle_cmd('hbar', math(), r' rac') (math(mi('â„')), ' \frac') >>> handle_cmd('hspace', math(), r'{1ex} (x)') (math(mspace(width='1ex')), ' (x)') z capital-greekrºrrG)Ú mathvariantrr¹rõ¯F)Úaccentrr¸rrªr)rºr¹uâ¡rB)ÚlspaceÚrspacer™)ÚwidthrÌr¾ú0.333emrÍrJrÎrVrXrÜNrRrÊÚcolonr ÚpostfixÚ0z0.28em)r½rÑrÒÚidotsintz\int\dotsi\intzfont-weight: bold)Ústylez75%)Úmathsizez _^TÚ movablelimits)rcrer»z()[]/|.zUnsupported "\z " delimiter "z"!ÚmaxsizeÚminsizeÚ symmetricrìÚlú.ríÚrÚnotrÐz{\not z\not: Cannot negate: "%s"!ÚNFCu̸)ÚtextÚmboxÚtextrmú$rÝz(^ | $)rÈz%s)Úhspacer˜Úmuz%semr„éÚphantomÚboxedÚbox)ÚnotationÚsqrt)rrá)rßráÚnumalignz numalign-rç)rârêr¶rÐ)rrÐÚoversetÚunderset)Ú xleftarrowÚ xrightarrowÚlongr÷z3Declaration "\%s" must be first command in a group.Úlimitsr¹)röÚbeginÚendzUnknown LaTeX command: \r )FÚlettersr{Úgreek_capitalsrÚ functionsr´rŽr}rÚmodulo_functionsrLr˜rÌÚmath_alphabetsr¬r(rRrÃrrÚthick_operatorsÚsmall_operatorsÚ operatorsrÛÚ 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,õ—+’+˜c ! " "œg sÑ+Ô+ˆCØ 8Ò Ð õ—*’*˜S #Ñ&Ô&ˆCØ ;Š;‰=Œ=ð #˜C 8šO˜OØ—;’;r #Ð4Ð4¨Ð4Ð4Ñ5Ô5ˆDؘ?Ð "åÐ$Ð$˜Ð$Ð$ˆØ Š EÑÔÐØfˆ}Ðð ˆw‚€Ø{Š{2˜c¨ ¸#ÀhÐOÑOÔOÑPÔPˆØVˆ|Ðà ˆzÒÐÝ Ð&7Ñ8Ô8ˆØVˆ|Ðà ÐÐØ{Š{2o¨dÔ3Ð;NÐOÑOÔOÑPÔPˆØVˆ|Ðà ÐÐØ{Š{2o¨dÔ3¸eÐDÑDÔDÑEÔEˆØVˆ|Ðà yÐÐØˆ Ø •=Ð Ð  VÐ °°q´ ¸UÐ0BÐ0BØ*.ˆJÑ 'Ð 'Ø Ð'Ð 'Ð 'Ø",ˆJwÑ Ø{Š{2i¨œoÐ<Ð<°Ð<Ð<Ñ=Ô=ˆØVˆ|Ðà }ÐÑØ!ÐÝ}¨TÔ2Ô3ˆÝ.¨vÑ6Ô6ш 6Ø ˜IÐ %Ð %ð 7Ý(¨×)9Ò)9¸$Ñ)?Ô)?Ô@ øÝð 7ð 7ð 7Ý!kØ%) T T¨9¨9¨9ð#6ñ7ô7ð7ð 7øøøð ð 5Ø.2Ð  Ñ +Ø.2Ð  Ñ +Ø04Ð  Ñ -Ø 6Š>ˆ>˜TŸ]š]¨3Ñ/Ô/ˆ>Ý‘&”&ˆCØ KŠK˜Ñ Ô Ð ØˆDØ ˜Ò Ð Ø KŠK˜9Ð=Ð=Ð(<Ð=Ð=Ñ >Ô >Ð >Ø 7Š?ˆ?˜dŸmšm¨CÑ0Ô0ˆ?Ø—:’:‘<”<ˆDØVˆ|Ðà ˆu‚}€}Ý Ñ'Ô'‰ ˆˆVØ #Š:ˆ:ؘ VÑ+Ð+Ð +Ø >Š>˜$Ñ Ô ð Eð EÝ  A B B¤Ô(øÝð Eð Eð EÝ!Ð"?ÀÑ"CÑDÔDÐDð EøøøåÔ# E¨3¨x©<Ñ8Ô8ˆØ{Š{2˜c™7œ7Ñ#Ô#ˆØVˆ|Ðð Ð)Ð)Ð)Ý(¨Ñ0Ô0‰ ˆˆVØ— ’ ˜#‘”ˆÝ  Ñ'Ô'ð -ð -‰GˆAˆtØ1‰u˜ŠzˆzÝ”v˜i¨°4Ñ8Ô8Ø—{’{¥5¨¡;¤;Ñ/Ô/å   tÑ,Ô,Ð,Ð,ØVˆ|Ðð v€~€~Ø{Š{6¨­V°D¬\Ñ(9Ð:Ñ:Ô:Ñ;Ô;ˆØVˆ|Ðà Ð#Ð#Ð#Ý Ñ'Ô'‰ ˆˆVØ <Š<˜Ñ Ô ð 0àE # c r c¤(™OœO¨BÑ.Ñ/ˆCØ{Š{6¨¨S©Ð1Ñ1Ô1Ñ2Ô2ˆØVˆ|Ðà ˆyÒÐÝ‘:”:ˆØ Š HÑÔÐØ˜ÐÐà ˆw‚€Ý UÐ+Ñ+Ô+ˆØ Š HÑÔÐØ˜ÐÐð  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""" import subprocess document_template = r"""\documentclass{article} \usepackage{amsmath} \begin{document} %s \end{document} """ def latexml(math_code, reporter=None): """Convert LaTeX math code to MathML with LaTeXML_ .. _LaTeXML: http://dlmf.nist.gov/LaTeXML/ """ p = subprocess.Popen(['latexml', '-', # read from stdin '--preload=amsfonts', '--preload=amsmath', '--inputencoding=utf8', ], stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True) p.stdin.write((document_template % math_code).encode('utf-8')) p.stdin.close() latexml_code = p.stdout.read() latexml_err = p.stderr.read().decode('utf-8') if reporter and (latexml_err.find('Error') >= 0 or not latexml_code): reporter.error(latexml_err) post_p = subprocess.Popen(['latexmlpost', '-', '--nonumbersections', '--format=xhtml', # '--linelength=78', # experimental '--' ], stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True) post_p.stdin.write(latexml_code) post_p.stdin.close() result = post_p.stdout.read().decode('utf-8') post_p_err = post_p.stderr.read().decode('utf-8') if reporter and (post_p_err.find('Error') >= 0 or not result): reporter.error(post_p_err) # extract MathML code: start, end = result.find('')+7 result = result[start:end] if 'class="ltx_ERROR' in result: raise SyntaxError(result) return result def ttm(math_code, reporter=None): """Convert LaTeX math code to MathML with TtM_ .. _TtM: http://hutchinson.belmont.ma.us/tth/mml/ """ p = subprocess.Popen(['ttm', # '-i', # italic font for equations. Default roman. '-u', # unicode encoding. (Default iso-8859-1). '-r', # output raw MathML (no wrapper) ], stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True) p.stdin.write((document_template % math_code).encode('utf-8')) p.stdin.close() result = p.stdout.read() err = p.stderr.read().decode('utf-8') if err.find('**** Unknown') >= 0: msg = '\n'.join(line for line in err.splitlines() if line.startswith('****')) raise SyntaxError('\nMessage from external converter TtM:\n'+msg) if reporter and err.find('**** Error') >= 0 or not result: reporter.error(err) start, end = result.find('')+7 return result[start:end] def blahtexml(math_code, inline=True, reporter=None): """Convert LaTeX math code to MathML with blahtexml_ .. _blahtexml: http://gva.noekeon.org/blahtexml/ """ options = ['--mathml', '--indented', '--spacing', 'moderate', '--mathml-encoding', 'raw', '--other-encoding', 'raw', '--doctype-xhtml+mathml', '--annotate-TeX', ] if inline: mathmode_arg = '' else: mathmode_arg = ' display="block"' options.append('--displaymath') p = subprocess.Popen(['blahtexml']+options, stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True) p.stdin.write(math_code.encode('utf-8')) p.stdin.close() result = p.stdout.read().decode('utf-8') err = p.stderr.read().decode('utf-8') if result.find('') >= 0: msg = result[result.find('')+9:result.find('')] raise SyntaxError('\nMessage from external converter blahtexml:\n%s' % msg) if reporter and (err.find('**** Error') >= 0 or not result): reporter.error(err) start, end = result.find('')+9, result.find('') result = ('\n' '%s\n') % (mathmode_arg, result[start:end]) return result def pandoc(math_code, reporter=None): """Convert LaTeX math code to MathML with pandoc_ .. _pandoc: https://pandoc.org/ """ p = subprocess.Popen(['pandoc', '--mathml', '--from=latex', ], stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True) p.stdin.write(math_code.encode('utf-8')) p.stdin.close() result = p.stdout.read().decode('utf-8') err = p.stderr.read().decode('utf-8').strip() x = p.wait() if err: if reporter: reporter.error(err) raise SyntaxError('\nError message from external converter pandoc:\n%s' % err) if x != 0: raise SyntaxError('\nError code from external converter pandoc:\n%s' % x) start, end = result.find('')+7 return result[start:end] # self-test if __name__ == "__main__": example = ('\\frac{\\partial \\sin^2(\\alpha)}{\\partial \\vec r}' '\\varpi \\mathbb{R} \\, \\text{Grüße}') # print(latexml('$'+example+'$')) # print(ttm('$'+example.replace('\\mathbb{R}', '')+'$')) print(blahtexml(example)) # print(pandoc('$'+example+'$')) PK!Ÿ”W/(É(Élatex2mathml.pynu„[µü¤# :Id: $Id: latex2mathml.py 9338 2023-04-08 21:08:47Z milde $ # :Copyright: © 2005 Jens Jørgen Mortensen [1]_ # © 2010, 2021 Günter Milde. # # :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: https://opensource.org/licenses/BSD-2-Clause # # .. [1] the original `rst2mathml.py` in `sandbox/jensj/latex_math` """Convert LaTex maths code into presentational MathML. This module is provisional: the API is not settled and may change with any minor Docutils version. """ # Usage: # # >>> from latex2mathml import * import re import unicodedata from docutils.utils.math import tex2unichar, toplevel_code # Character data # -------------- # LaTeX math macro to Unicode mappings. # Character categories. # identifiers -> letters = tex2unichar.mathalpha letters['hbar'] = '\u210F' # compatibility mapping to â„ (\hslash). # (ħ LATIN SMALL LETTER H WITH STROKE is upright) # special case: Capital Greek letters: (upright in TeX style) greek_capitals = { 'Phi': '\u03a6', 'Xi': '\u039e', 'Sigma': '\u03a3', 'Psi': '\u03a8', 'Delta': '\u0394', 'Theta': '\u0398', 'Upsilon': '\u03d2', 'Pi': '\u03a0', 'Omega': '\u03a9', 'Gamma': '\u0393', 'Lambda': '\u039b'} # functions -> functions = { # functions with a space in the name 'liminf': 'lim\u202finf', 'limsup': 'lim\u202fsup', 'injlim': 'inj\u202flim', 'projlim': 'proj\u202flim', # embellished function names (see handle_cmd() below) 'varlimsup': 'lim', 'varliminf': 'lim', 'varprojlim': 'lim', 'varinjlim': 'lim', # custom function name 'operatorname': None, } functions.update((name, name) for name in ('arccos', 'arcsin', 'arctan', 'arg', 'cos', 'cosh', 'cot', 'coth', 'csc', 'deg', 'det', 'dim', 'exp', 'gcd', 'hom', 'ker', 'lg', 'ln', 'log', 'Pr', 'sec', 'sin', 'sinh', 'tan', 'tanh')) # Function with limits: 'lim', 'sup', 'inf', 'max', 'min': # use to allow "movablelimits" attribute (see below). # modulo operator/arithmetic modulo_functions = { # cmdname: (binary, named, parentheses, padding) 'bmod': (True, True, False, '0.278em'), # a mod n 'pmod': (False, True, True, '0.444em'), # a (mod n) 'mod': (False, True, False, '0.667em'), # a mod n 'pod': (False, False, True, '0.444em'), # a (n) } # math font selection -> or math_alphabets = { # 'cmdname': 'mathvariant value' # package 'boldsymbol': 'bold', 'mathbf': 'bold', 'mathit': 'italic', 'mathtt': 'monospace', 'mathrm': 'normal', 'mathsf': 'sans-serif', 'mathcal': 'script', 'mathbfit': 'bold-italic', # isomath 'mathbb': 'double-struck', # amssymb 'mathfrak': 'fraktur', # amssymb 'mathsfit': 'sans-serif-italic', # isomath 'mathsfbfit': 'sans-serif-bold-italic', # isomath 'mathscr': 'script', # mathrsfs # unsupported: bold-fraktur # bold-script # bold-sans-serif } # operator, fence, or separator -> stretchables = { # extensible delimiters allowed in left/right cmds 'backslash': '\\', 'uparrow': '\u2191', # ↑ UPWARDS ARROW 'downarrow': '\u2193', # ↓ DOWNWARDS ARROW 'updownarrow': '\u2195', # ↕ UP DOWN ARROW 'Uparrow': '\u21d1', # ⇑ UPWARDS DOUBLE ARROW 'Downarrow': '\u21d3', # ⇓ DOWNWARDS DOUBLE ARROW 'Updownarrow': '\u21d5', # ⇕ UP DOWN DOUBLE ARROW 'lmoustache': '\u23b0', # ⎰ … CURLY BRACKET SECTION 'rmoustache': '\u23b1', # ⎱ … LEFT CURLY BRACKET SECTION 'arrowvert': '\u23d0', # â VERTICAL LINE EXTENSION 'bracevert': '\u23aa', # ⎪ CURLY BRACKET EXTENSION 'lvert': '|', # left | 'lVert': '\u2016', # left ‖ 'rvert': '|', # right | 'rVert': '\u2016', # right ‖ 'Arrowvert': '\u2016', # ‖ } stretchables.update(tex2unichar.mathfence) stretchables.update(tex2unichar.mathopen) # Braces stretchables.update(tex2unichar.mathclose) # Braces # >>> print(' '.join(sorted(set(stretchables.values())))) # [ \ ] { | } ‖ ↑ ↓ ↕ ⇑ ⇓ ⇕ ⌈ ⌉ ⌊ ⌋ ⌜ ⌠⌞ ⌟ ⎪ ⎰ ⎱ â ⟅ ⟆ ⟦ ⟧ ⟨ ⟩ ⟮ ⟯ ⦇ ⦈ operators = { # negated symbols without pre-composed Unicode character 'nleqq': '\u2266\u0338', # ≦̸ 'ngeqq': '\u2267\u0338', # ≧̸ 'nleqslant': '\u2a7d\u0338', # ⩽̸ 'ngeqslant': '\u2a7e\u0338', # ⩾̸ 'ngtrless': '\u2277\u0338', # txfonts 'nlessgtr': '\u2276\u0338', # txfonts 'nsubseteqq': '\u2AC5\u0338', # ⫅̸ 'nsupseteqq': '\u2AC6\u0338', # ⫆̸ # compatibility definitions: 'centerdot': '\u2B1D', # BLACK VERY SMALL SQUARE | mathbin 'varnothing': '\u2300', # ⌀ DIAMETER SIGN | empty set 'varpropto': '\u221d', # ∠PROPORTIONAL TO | sans serif 'triangle': '\u25B3', # WHITE UP-POINTING TRIANGLE | mathord 'triangledown': '\u25BD', # WHITE DOWN-POINTING TRIANGLE | mathord # alias commands: 'dotsb': '\u22ef', # ⋯ with binary operators/relations 'dotsc': '\u2026', # … with commas 'dotsi': '\u22ef', # ⋯ with integrals 'dotsm': '\u22ef', # ⋯ multiplication dots 'dotso': '\u2026', # … other dots # functions with movable limits (requires ) 'lim': 'lim', 'sup': 'sup', 'inf': 'inf', 'max': 'max', 'min': 'min', } operators.update(tex2unichar.mathbin) # Binary symbols operators.update(tex2unichar.mathrel) # Relation symbols, arrow symbols operators.update(tex2unichar.mathord) # Miscellaneous symbols operators.update(tex2unichar.mathpunct) # Punctuation operators.update(tex2unichar.mathop) # Variable-sized symbols operators.update(stretchables) # special cases thick_operators = { # style='font-weight: bold;' 'thicksim': '\u223C', # ∼ 'thickapprox': '\u2248', # ≈ } small_operators = { # mathsize='75%' 'shortmid': '\u2223', # ∣ 'shortparallel': '\u2225', # ∥ 'nshortmid': '\u2224', # ∤ 'nshortparallel': '\u2226', # ∦ 'smallfrown': '\u2322', # ⌢ FROWN 'smallsmile': '\u2323', # ⌣ SMILE 'smallint': '\u222b', # ∫ INTEGRAL } # Operators and functions with limits above/below in display formulas # and in index position inline (movablelimits=True) movablelimits = ('bigcap', 'bigcup', 'bigodot', 'bigoplus', 'bigotimes', 'bigsqcup', 'biguplus', 'bigvee', 'bigwedge', 'coprod', 'intop', 'ointop', 'prod', 'sum', 'lim', 'max', 'min', 'sup', 'inf') # Depending on settings, integrals may also be in this category. # (e.g. if "amsmath" is loaded with option "intlimits", see # http://mirror.ctan.org/macros/latex/required/amsmath/amsldoc.pdf) # movablelimits.extend(('fint', 'iiiint', 'iiint', 'iint', 'int', 'oiint', # 'oint', 'ointctrclockwise', 'sqint', # 'varointclockwise',)) # horizontal space -> spaces = {'qquad': '2em', # two \quad 'quad': '1em', # 18 mu 'thickspace': '0.2778em', # 5mu = 5/18em ';': '0.2778em', # 5mu thickspace ' ': '0.25em', # inter word space 'medspace': '0.2222em', # 4mu = 2/9em ':': '0.2222em', # 4mu medspace 'thinspace': '0.1667em', # 3mu = 1/6em ',': '0.1667em', # 3mu thinspace 'negthinspace': '-0.1667em', # -3mu = -1/6em '!': '-0.1667em', # negthinspace 'negmedspace': '-0.2222em', # -4mu = -2/9em 'negthickspace': '-0.2778em', # -5mu = -5/18em } # accents -> accents = { # TeX: (spacing, combining) 'acute': ('´', '\u0301'), 'bar': ('ˉ', '\u0304'), 'breve': ('˘', '\u0306'), 'check': ('ˇ', '\u030C'), 'dot': ('Ë™', '\u0307'), 'ddot': ('¨', '\u0308'), 'dddot': ('⋯', '\u20DB'), 'grave': ('`', '\u0300'), 'hat': ('ˆ', '\u0302'), 'mathring': ('Ëš', '\u030A'), 'tilde': ('Ëœ', '\u0303'), # tilde ~ or small tilde Ëœ? 'vec': ('→', '\u20d7'), # → too heavy, accents="false" # TODO: ddddot } # limits etc. -> or over = { # TeX: (char, offset-correction/em) 'overbrace': ('\u23DE', -0.2), # DejaVu Math -0.6 'overleftarrow': ('\u2190', -0.2), 'overleftrightarrow': ('\u2194', -0.2), 'overline': ('_', -0.2), # \u2012 does not stretch 'overrightarrow': ('\u2192', -0.2), 'widehat': ('^', -0.5), 'widetilde': ('~', -0.3), } under = {'underbrace': ('\u23DF', 0.1), # DejaVu Math -0.7 'underleftarrow': ('\u2190', -0.2), 'underleftrightarrow': ('\u2194', -0.2), 'underline': ('_', -0.8), 'underrightarrow': ('\u2192', -0.2), } # Character translations # ---------------------- # characters with preferred alternative in mathematical use # cf. https://www.w3.org/TR/MathML3/chapter7.html#chars.anomalous anomalous_chars = {'-': '\u2212', # HYPHEN-MINUS -> MINUS SIGN ':': '\u2236', # COLON -> RATIO '~': '\u00a0', # NO-BREAK SPACE } # blackboard bold (Greek characters not working with "mathvariant" (Firefox 78) mathbb = {'Γ': '\u213E', # ℾ 'Π': '\u213F', # â„¿ 'Σ': '\u2140', # â…€ 'γ': '\u213D', # ℽ 'Ï€': '\u213C', # ℼ } # Matrix environments matrices = { # name: fences 'matrix': ('', ''), 'smallmatrix': ('', ''), # smaller, see begin_environment()! 'pmatrix': ('(', ')'), 'bmatrix': ('[', ']'), 'Bmatrix': ('{', '}'), 'vmatrix': ('|', '|'), 'Vmatrix': ('\u2016', '\u2016'), # ‖ 'cases': ('{', ''), } layout_styles = { 'displaystyle': {'displaystyle': True, 'scriptlevel': 0}, 'textstyle': {'displaystyle': False, 'scriptlevel': 0}, 'scriptstyle': {'displaystyle': False, 'scriptlevel': 1}, 'scriptscriptstyle': {'displaystyle': False, 'scriptlevel': 2}, } # See also https://www.w3.org/TR/MathML3/chapter3.html#presm.scriptlevel fractions = { # name: style_attrs, frac_attrs 'frac': ({}, {}), 'cfrac': ({'displaystyle': True, 'scriptlevel': 0, 'CLASS': 'cfrac'}, {}), # in LaTeX with padding 'dfrac': (layout_styles['displaystyle'], {}), 'tfrac': (layout_styles['textstyle'], {}), 'binom': ({}, {'linethickness': 0}), 'dbinom': (layout_styles['displaystyle'], {'linethickness': 0}), 'tbinom': (layout_styles['textstyle'], {'linethickness': 0}), } delimiter_sizes = ['', '1.2em', '1.623em', '2.047em', '2.470em'] bigdelimiters = {'left': 0, 'right': 0, 'bigl': 1, 'bigr': 1, 'Bigl': 2, 'Bigr': 2, 'biggl': 3, 'biggr': 3, 'Biggl': 4, 'Biggr': 4, } # MathML element classes # ---------------------- class math: """Base class for MathML elements and root of MathML trees.""" nchildren = None """Expected number of children or None""" # cf. https://www.w3.org/TR/MathML3/chapter3.html#id.3.1.3.2 parent = None """Parent node in MathML DOM tree.""" _level = 0 # indentation level (static class variable) xml_entities = { # for invalid and invisible characters ord('<'): '<', ord('>'): '>', ord('&'): '&', 0x2061: '⁡', } _boolstrings = {True: 'true', False: 'false'} """String representation of boolean MathML attribute values.""" html_tagname = 'span' """Tag name for HTML representation.""" def __init__(self, *children, **attributes): """Set up node with `children` and `attributes`. Attributes are downcased: Use CLASS to set "class" value. >>> math(mn(3), CLASS='test') math(mn(3), class='test') >>> math(CLASS='test').toprettyxml() '\n' """ self.children = [] self.extend(children) self.attributes = {} for key in attributes.keys(): # Use .lower() to allow argument `CLASS` for attribute `class` # (Python keyword). MathML uses only lowercase attributes. self.attributes[key.lower()] = attributes[key] def __repr__(self): content = [repr(item) for item in getattr(self, 'children', [])] if hasattr(self, 'data'): content.append(repr(self.data)) if isinstance(self, MathSchema) and self.switch: content.append('switch=True') content += ["%s=%r"%(k, v) for k, v in self.attributes.items() if v is not None] return self.__class__.__name__ + '(%s)' % ', '.join(content) def __len__(self): return len(self.children) # emulate dictionary-like access to attributes # see `docutils.nodes.Element` for dict/list interface def __getitem__(self, key): return self.attributes[key] def __setitem__(self, key, item): self.attributes[key] = item def get(self, *args, **kwargs): return self.attributes.get(*args, **kwargs) def full(self): """Return boolean indicating whether children may be appended.""" return (self.nchildren is not None and len(self) >= self.nchildren) def append(self, child): """Append child and return self or first non-full parent. If self is full, go up the tree and return first non-full node or `None`. """ if self.full(): raise SyntaxError('Node %s already full!' % self) self.children.append(child) child.parent = self if self.full(): return self.close() return self def extend(self, children): for child in children: self.append(child) return self def close(self): """Close element and return first non-full parent or None.""" parent = self.parent while parent is not None and parent.full(): parent = parent.parent return parent def toprettyxml(self): """Return XML representation of self as string.""" return ''.join(self._xml()) def _xml(self, level=0): return ([self.xml_starttag()] + self._xml_body(level) + ['' % self.__class__.__name__]) def xml_starttag(self): attrs = ('%s="%s"' % (k, str(v).replace('True', 'true').replace('False', 'false')) for k, v in self.attributes.items() if v is not None) return '<%s>' % ' '.join((self.__class__.__name__, *attrs)) def _xml_body(self, level=0): xml = [] for child in self.children: xml.extend(['\n', ' ' * (level+1)]) xml.extend(child._xml(level+1)) xml.extend(['\n', ' ' * level]) return xml def is_block(self): """Return true, if `self` or a parent has ``display='block'``.""" try: return self['display'] == 'block' except KeyError: try: return self.parent.is_block() except AttributeError: return False # >>> n2 = math(mn(2)) # >>> n2 # math(mn(2)) # >>> n2.toprettyxml() # '\n 2\n' # >>> len(n2) # 1 # >>> eq3 = math(id='eq3', display='block') # >>> eq3 # math(id='eq3', display='block') # >>> eq3.toprettyxml() # '\n' # >>> len(eq3) # 0 # >>> math(CLASS='bold').xml_starttag() # '' # >>> n2.is_block() # False # >>> node = n2.append(mrow()) # >>> node.is_block() # False # >>> eq3.is_block() # True # >>> node = eq3.append(mrow()) # >>> node.is_block() # True class mtable(math): pass # >>> mt = mtable(displaystyle=True) # >>> mt # mtable(displaystyle=True) # >>> math(mt).toprettyxml() # '\n \n \n' class mrow(math): """Group sub-expressions as a horizontal row.""" def close(self): """Close element and return first non-full parent or None. Remove , if it is single child and the parent infers an mrow or if it has only one child element. """ parent = self.parent if isinstance(parent, MathRowSchema) and parent.nchildren == 1: parent.nchildren = len(parent.children) parent.children = self.children for child in self.children: child.parent = parent return parent.close() if len(self) == 1: try: parent.children[parent.children.index(self)] = self.children[0] self.children[0].parent = parent except (AttributeError, ValueError): return self.children[0] return super().close() # >>> mrow(displaystyle=False) # mrow(displaystyle=False) # The elements , , , , , , # , , and treat their contents as a single inferred mrow # formed from all their children. class MathRowSchema(math): """Base class for elements treating content as a single inferred mrow.""" class mtr(MathRowSchema): pass class mtd(MathRowSchema): pass class menclose(MathRowSchema): nchildren = 1 # \boxed expects one argument or a group class mphantom(MathRowSchema): nchildren = 1 # \phantom expects one argument or a group class msqrt(MathRowSchema): nchildren = 1 # \sqrt expects one argument or a group class mstyle(MathRowSchema): nchildren = 1 # \mathrm, ... expect one argument or a group class MathToken(math): """Token Element: contains textual data instead of children. Base class for mo, mi, and mn. """ nchildren = 0 def __init__(self, data, **attributes): self.data = data super().__init__(**attributes) def _xml_body(self, level=0): return [str(self.data).translate(self.xml_entities)] class mtext(MathToken): pass class mi(MathToken): pass class mo(MathToken): pass class mn(MathToken): pass # >>> mo('<') # mo('<') # >>> mo('<')._xml() # ['', '<', ''] class MathSchema(math): """Base class for schemata expecting 2 or more children. The special attribute `switch` indicates that the last two child elements are in reversed order and must be switched before XML-export. """ nchildren = 2 def __init__(self, *children, **kwargs): self.switch = kwargs.pop('switch', False) math.__init__(self, *children, **kwargs) def append(self, child): current_node = super().append(child) # normalize order if full if self.switch and self.full(): self.children[-1], self.children[-2] = self.children[-2], self.children[-1] self.switch = False return current_node class msub(MathSchema): pass class msup(MathSchema): pass class msubsup(MathSchema): nchildren = 3 # >>> msub(mi('x'), mo('-')) # msub(mi('x'), mo('-')) # >>> msubsup(mi('base'), mi('sub'), mi('super')) # msubsup(mi('base'), mi('sub'), mi('super')) # >>> msubsup(mi('base'), mi('super'), mi('sub'), switch=True) # msubsup(mi('base'), mi('sub'), mi('super')) class munder(msub): pass class mover(msup): pass # >>> munder(mi('lim'), mo('-'), accent=False) # munder(mi('lim'), mo('-'), accent=False) # >>> mu = munder(mo('-'), accent=False, switch=True) # >>> mu # munder(mo('-'), switch=True, accent=False) # >>> mu.append(mi('lim')) # >>> mu # munder(mi('lim'), mo('-'), accent=False) # >>> mu.append(mi('lim')) # Traceback (most recent call last): # SyntaxError: Node munder(mi('lim'), mo('-'), accent=False) already full! # >>> munder(mo('-'), mi('lim'), accent=False, switch=True).toprettyxml() # '\n lim\n -\n' class munderover(msubsup): pass class mroot(MathSchema): nchildren = 2 class mfrac(math): nchildren = 2 class mspace(math): nchildren = 0 # LaTeX to MathML translation # --------------------------- # auxiliary functions # ~~~~~~~~~~~~~~~~~~~ def tex_cmdname(string): """Return leading TeX command name and remainder of `string`. >>> tex_cmdname('mymacro2') # up to first non-letter ('mymacro', '2') >>> tex_cmdname('name 2') # strip trailing whitespace ('name', '2') >>> tex_cmdname('_2') # single non-letter character ('_', '2') """ m = re.match(r'([a-zA-Z]+) *(.*)', string) if m is None: m = re.match(r'(.?)(.*)', string) return m.group(1), m.group(2) # Test: # # >>> tex_cmdname('name_2') # first non-letter terminates # ('name', '_2') # >>> tex_cmdname(' next') # leading whitespace is returned # (' ', 'next') # >>> tex_cmdname('1 2') # whitespace after non-letter is kept # ('1', ' 2') # >>> tex_cmdname('') # empty string # ('', '') def tex_number(string): """Return leading number literal and remainder of `string`. >>> tex_number('123.4') ('123.4', '') """ m = re.match(r'([0-9.,]*[0-9]+)(.*)', string) if m is None: return '', string return m.group(1), m.group(2) # Test: # # >>> tex_number(' 23.4b') # leading whitespace -> no number # ('', ' 23.4b') # >>> tex_number('23,400/2') # comma separator included # ('23,400', '/2') # >>> tex_number('23. 4/2') # trailing separator not included # ('23', '. 4/2') # >>> tex_number('4, 2') # trailing separator not included # ('4', ', 2') # >>> tex_number('1 000.4') # ('1', ' 000.4') def tex_token(string): """Return first simple TeX token and remainder of `string`. >>> tex_token('\\command{without argument}') ('\\command', '{without argument}') >>> tex_token('or first character') ('o', 'r first character') """ m = re.match(r"""((?P\\[a-zA-Z]+)\s* # TeX command, skip whitespace |(?P\\.) # one-character TeX command |(?P.?)) # first character (or empty) (?P.*$) # remaining part of string """, string, re.VERBOSE) cmd, chcmd, ch, remainder = m.group('cmd', 'chcmd', 'ch', 'remainder') return cmd or chcmd or ch, remainder # Test: # # >>> tex_token('{opening bracket of group}') # ('{', 'opening bracket of group}') # >>> tex_token('\\skip whitespace after macro name') # ('\\skip', 'whitespace after macro name') # >>> tex_token('. but not after single char') # ('.', ' but not after single char') # >>> tex_token('') # empty string. # ('', '') # >>> tex_token('\{escaped bracket') # ('\\{', 'escaped bracket') def tex_group(string): """Return first TeX group or token and remainder of `string`. >>> tex_group('{first group} returned without brackets') ('first group', ' returned without brackets') """ split_index = 0 nest_level = 0 # level of {{nested} groups} escape = False # the next character is escaped (\) if not string.startswith('{'): # special case: there is no group, return first token and remainder return string[:1], string[1:] for c in string: split_index += 1 if escape: escape = False elif c == '\\': escape = True elif c == '{': nest_level += 1 elif c == '}': nest_level -= 1 if nest_level == 0: break else: raise SyntaxError('Group without closing bracket') return string[1:split_index-1], string[split_index:] # >>> tex_group('{} empty group') # ('', ' empty group') # >>> tex_group('{group with {nested} group} ') # ('group with {nested} group', ' ') # >>> tex_group('{group with {nested group}} at the end') # ('group with {nested group}', ' at the end') # >>> tex_group('{{group} {with {{complex }nesting}} constructs}') # ('{group} {with {{complex }nesting}} constructs', '') # >>> tex_group('{group with \\{escaped\\} brackets}') # ('group with \\{escaped\\} brackets', '') # >>> tex_group('{group followed by closing bracket}} from outer group') # ('group followed by closing bracket', '} from outer group') # >>> tex_group('No group? Return first character.') # ('N', 'o group? Return first character.') # >>> tex_group(' {also whitespace}') # (' ', '{also whitespace}') def tex_token_or_group(string): """Return first TeX group or token and remainder of `string`. >>> tex_token_or_group('\\command{without argument}') ('\\command', '{without argument}') >>> tex_token_or_group('first character') ('f', 'irst character') >>> tex_token_or_group(' also whitespace') (' ', 'also whitespace') >>> tex_token_or_group('{first group} keep rest') ('first group', ' keep rest') """ arg, remainder = tex_token(string) if arg == '{': arg, remainder = tex_group(string.lstrip()) return arg, remainder # >>> tex_token_or_group('\{no group but left bracket') # ('\\{', 'no group but left bracket') def tex_optarg(string): """Return optional argument and remainder. >>> tex_optarg('[optional argument] returned without brackets') ('optional argument', ' returned without brackets') >>> tex_optarg('{empty string, if there is no optional arg}') ('', '{empty string, if there is no optional arg}') """ m = re.match(r"""\s* # leading whitespace \[(?P(\\]|[^\[\]]|\\])*)\] # [group] without nested groups (?P.*$) """, string, re.VERBOSE) if m is None and not string.startswith('['): return '', string try: return m.group('optarg'), m.group('remainder') except AttributeError: raise SyntaxError('Could not extract optional argument from %r' % string) # Test: # >>> tex_optarg(' [optional argument] after whitespace') # ('optional argument', ' after whitespace') # >>> tex_optarg('[missing right bracket') # Traceback (most recent call last): # SyntaxError: Could not extract optional argument from '[missing right bracket' # >>> tex_optarg('[group with [nested group]]') # Traceback (most recent call last): # SyntaxError: Could not extract optional argument from '[group with [nested group]]' def parse_latex_math(node, string): """Append MathML conversion of `string` to `node` and return it. >>> parse_latex_math(math(), r'\alpha') math(mi('α')) >>> parse_latex_math(mrow(), r'x_{n}') mrow(msub(mi('x'), mi('n'))) """ # Normalize white-space: string = ' '.join(string.split()) tree = node while len(string) > 0: # Take off first character: c, string = string[0], string[1:] if c == ' ': continue # whitespace is ignored in LaTeX math mode if c == '\\': # start of a LaTeX macro cmdname, string = tex_cmdname(string) node, string = handle_cmd(cmdname, node, string) elif c in "_^": node = handle_script_or_limit(node, c) elif c == '{': new_node = mrow() node.append(new_node) node = new_node elif c == '}': node = node.close() elif c == '&': new_node = mtd() node.close().append(new_node) node = new_node elif c.isalpha(): node = node.append(mi(c)) elif c.isdigit(): number, string = tex_number(string) node = node.append(mn(c+number)) elif c in anomalous_chars: # characters with a special meaning in LaTeX math mode # fix spacing before "unary" minus. attributes = {} if c == '-' and node.children: previous_node = node.children[-1] if (getattr(previous_node, 'data', '-') in '([=' or previous_node.get('class') == 'mathopen'): attributes['form'] = 'prefix' node = node.append(mo(anomalous_chars[c], **attributes)) elif c in "/()[]|": node = node.append(mo(c, stretchy=False)) elif c in "+*=<>,.!?`';@": node = node.append(mo(c)) else: raise SyntaxError('Unsupported character: "%s"' % c) return tree # Test: # >>> print(parse_latex_math(math(), '')) # math() # >>> parse_latex_math(math(), ' \\sqrt{ \\alpha}') # math(msqrt(mi('α'))) # >>> parse_latex_math(math(), '23.4x') # math(mn('23.4'), mi('x')) # >>> parse_latex_math(math(), '\\sqrt 2 \\ne 3') # math(msqrt(mn('2')), mo('≠'), mn('3')) # >>> parse_latex_math(math(), '\\sqrt{2 + 3} < 3') # math(msqrt(mn('2'), mo('+'), mn('3')), mo('<'), mn('3')) # >>> parse_latex_math(math(), '\\sqrt[3]{2 + 3}') # math(mroot(mrow(mn('2'), mo('+'), mn('3')), mn('3'))) # >>> parse_latex_math(math(), '\max_x') # function takes limits # math(munder(mo('max', movablelimits=True), mi('x'))) # >>> parse_latex_math(math(), 'x^j_i') # ensure correct order: base, sub, sup # math(msubsup(mi('x'), mi('i'), mi('j'))) # >>> parse_latex_math(math(), '\int^j_i') # ensure correct order # math(msubsup(mo('∫'), mi('i'), mi('j'))) # >>> parse_latex_math(math(), 'x_{\\alpha}') # math(msub(mi('x'), mi('α'))) # >>> parse_latex_math(math(), 'x_\\text{in}') # math(msub(mi('x'), mtext('in'))) def handle_cmd(name, node, string): # noqa: C901 TODO make this less complex """Process LaTeX command `name` followed by `string`. Append result to `node`. If needed, parse `string` for command argument. Return new current node and remainder of `string`: >>> handle_cmd('hbar', math(), r' \frac') (math(mi('â„')), ' \\frac') >>> handle_cmd('hspace', math(), r'{1ex} (x)') (math(mspace(width='1ex')), ' (x)') """ # Token elements # ============== # identifier -> if name in letters: new_node = mi(letters[name]) if name in greek_capitals: # upright in "TeX style" but MathML sets them italic ("ISO style"). # CSS styling does not change the font style in Firefox 78. # Use 'mathvariant="normal"'? new_node['class'] = 'capital-greek' node = node.append(new_node) return node, string if name in functions: # use followed by invisible function applicator character # (see https://www.w3.org/TR/MathML3/chapter3.html#presm.mi) if name == 'operatorname': # custom function name, e.g. ``\operatorname{abs}(x)`` # TODO: \operatorname* -> with limits arg, string = tex_token_or_group(string) new_node = mi(arg, mathvariant='normal') else: new_node = mi(functions[name]) # embellished function names: if name == 'varliminf': # \underline\lim new_node = munder(new_node, mo('_')) elif name == 'varlimsup': # \overline\lim new_node = mover(new_node, mo('¯'), accent=False) elif name == 'varprojlim': # \underleftarrow\lim new_node = munder(new_node, mo('\u2190')) elif name == 'varinjlim': # \underrightarrow\lim new_node = munder(new_node, mo('\u2192')) node = node.append(new_node) # add ApplyFunction when appropriate (not \sin^2(x), say) # cf. https://www.w3.org/TR/MathML3/chapter3.html#presm.mi if string and string[0] not in ('^', '_'): node = node.append(mo('\u2061')) # ⁡ return node, string if name in modulo_functions: (binary, named, parentheses, padding) = modulo_functions[name] if binary: node = node.append(mo('mod', lspace=padding, rspace=padding)) return node, string # left padding if node.is_block(): padding = '1em' node = node.append(mspace(width=padding)) if parentheses: node = node.append(mo('(', stretchy=False)) if named: node = node.append(mi('mod')) node = node.append(mspace(width='0.333em')) arg, string = tex_token_or_group(string) node = parse_latex_math(node, arg) if parentheses: node = node.append(mo(')', stretchy=False)) return node, string if name in math_alphabets: if name == 'boldsymbol': attributes = {'class': 'boldsymbol'} else: attributes = {'mathvariant': math_alphabets[name]} if name == 'mathscr': attributes['class'] = 'mathscr' # Check for single symbol (letter, name, or â…€) arg, remainder = tex_token_or_group(string) if arg.startswith('\\'): # convert single letters (so the isalpha() test below works). # TODO: convert all LICRs in a group (\matrm{\mu\Omega}) arg = letters.get(arg[1:], arg) if name == 'mathbb': # mathvariant="double-struck" is ignored for Greek letters # (tested in Firefox 78). Use literal Unicode characters. arg = mathbb.get(arg, arg) if arg.isalpha() or arg == '\u2140': node = node.append(mi(arg, **attributes)) return node, remainder # Wrap in