File: math_symbol_table.py

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from docutils.parsers.rst import Directive

from matplotlib import mathtext
from matplotlib import cbook


symbols = [
    ["Lower-case Greek",
     6,
     r"""\alpha \beta \gamma \chi \delta \epsilon \eta \iota \kappa
         \lambda \mu \nu \omega \phi \pi \psi \rho \sigma \tau \theta
         \upsilon \xi \zeta \digamma \varepsilon \varkappa \varphi
         \varpi \varrho \varsigma \vartheta"""],
    ["Upper-case Greek",
     8,
     r"""\Delta \Gamma \Lambda \Omega \Phi \Pi \Psi \Sigma \Theta
     \Upsilon \Xi \mho \nabla"""],
    ["Hebrew",
     6,
     r"""\aleph \beth \daleth \gimel"""],
    ["Delimiters",
     6,
     r"""| \{ \lfloor / \Uparrow \llcorner \vert \} \rfloor \backslash
         \uparrow \lrcorner \| \langle \lceil [ \Downarrow \ulcorner
         \Vert \rangle \rceil ] \downarrow \urcorner"""],
    ["Big symbols",
     6,
     r"""\bigcap \bigcup \bigodot \bigoplus \bigotimes \biguplus
         \bigvee \bigwedge \coprod \oint \prod \sum \int"""],
    ["Standard function names",
     6,
     r"""\arccos \csc \ker \min \arcsin \deg \lg \Pr \arctan \det \lim
         \gcd \ln \sup \cot \hom \log \tan \coth \inf \max \tanh
         \sec \arg \dim \liminf \sin \cos \exp \limsup \sinh \cosh"""],
    ["Binary operation and relation symbols",
     4,
     r"""\ast \pm \slash \cap \star \mp \cup \cdot \uplus
     \triangleleft \circ \odot \sqcap \triangleright \bullet \ominus
     \sqcup \bigcirc \oplus \wedge \diamond \oslash \vee
     \bigtriangledown \times \otimes \dag \bigtriangleup \div \wr
     \ddag \barwedge \veebar \boxplus \curlywedge \curlyvee \boxminus
     \Cap \Cup \boxtimes \bot \top \dotplus \boxdot \intercal
     \rightthreetimes \divideontimes \leftthreetimes \equiv \leq \geq
     \perp \cong \prec \succ \mid \neq \preceq \succeq \parallel \sim
     \ll \gg \bowtie \simeq \subset \supset \Join \approx \subseteq
     \supseteq \ltimes \asymp \sqsubset \sqsupset \rtimes \doteq
     \sqsubseteq \sqsupseteq \smile \propto \dashv \vdash \frown
     \models \in \ni \notin \approxeq \leqq \geqq \lessgtr \leqslant
     \geqslant \lesseqgtr \backsim \lessapprox \gtrapprox \lesseqqgtr
     \backsimeq \lll \ggg \gtreqqless \triangleq \lessdot \gtrdot
     \gtreqless \circeq \lesssim \gtrsim \gtrless \bumpeq \eqslantless
     \eqslantgtr \backepsilon \Bumpeq \precsim \succsim \between
     \doteqdot \precapprox \succapprox \pitchfork \Subset \Supset
     \fallingdotseq \subseteqq \supseteqq \risingdotseq \sqsubset
     \sqsupset \varpropto \preccurlyeq \succcurlyeq \Vdash \therefore
     \curlyeqprec \curlyeqsucc \vDash \because \blacktriangleleft
     \blacktriangleright \Vvdash \eqcirc \trianglelefteq
     \trianglerighteq \neq \vartriangleleft \vartriangleright \ncong
     \nleq \ngeq \nsubseteq \nmid \nsupseteq \nparallel \nless \ngtr
     \nprec \nsucc \subsetneq \nsim \supsetneq \nVDash \precnapprox
     \succnapprox \subsetneqq \nvDash \precnsim \succnsim \supsetneqq
     \nvdash \lnapprox \gnapprox \ntriangleleft \ntrianglelefteq
     \lneqq \gneqq \ntriangleright \lnsim \gnsim \ntrianglerighteq
     \coloneq \eqsim \nequiv \napprox \nsupset \doublebarwedge \nVdash
     \Doteq \nsubset \eqcolon \ne
     """],
    ["Arrow symbols",
     4,
     r"""\leftarrow \longleftarrow \uparrow \Leftarrow \Longleftarrow
     \Uparrow \rightarrow \longrightarrow \downarrow \Rightarrow
     \Longrightarrow \Downarrow \leftrightarrow \updownarrow
     \longleftrightarrow \updownarrow \Leftrightarrow
     \Longleftrightarrow \Updownarrow \mapsto \longmapsto \nearrow
     \hookleftarrow \hookrightarrow \searrow \leftharpoonup
     \rightharpoonup \swarrow \leftharpoondown \rightharpoondown
     \nwarrow \rightleftharpoons \leadsto \dashrightarrow
     \dashleftarrow \leftleftarrows \leftrightarrows \Lleftarrow
     \Rrightarrow \twoheadleftarrow \leftarrowtail \looparrowleft
     \leftrightharpoons \curvearrowleft \circlearrowleft \Lsh
     \upuparrows \upharpoonleft \downharpoonleft \multimap
     \leftrightsquigarrow \rightrightarrows \rightleftarrows
     \rightrightarrows \rightleftarrows \twoheadrightarrow
     \rightarrowtail \looparrowright \rightleftharpoons
     \curvearrowright \circlearrowright \Rsh \downdownarrows
     \upharpoonright \downharpoonright \rightsquigarrow \nleftarrow
     \nrightarrow \nLeftarrow \nRightarrow \nleftrightarrow
     \nLeftrightarrow \to \Swarrow \Searrow \Nwarrow \Nearrow
     \leftsquigarrow
     """],
    ["Miscellaneous symbols",
     4,
     r"""\neg \infty \forall \wp \exists \bigstar \angle \partial
     \nexists \measuredangle \eth \emptyset \sphericalangle \clubsuit
     \varnothing \complement \diamondsuit \imath \Finv \triangledown
     \heartsuit \jmath \Game \spadesuit \ell \hbar \vartriangle \cdots
     \hslash \vdots \blacksquare \ldots \blacktriangle \ddots \sharp
     \prime \blacktriangledown \Im \flat \backprime \Re \natural
     \circledS \P \copyright \ss \circledR \S \yen \AA \checkmark \$
     \iiint \iint \oiiint"""]
]


def run(state_machine):
    def get_n(n, l):
        part = []
        for x in l:
            part.append(x)
            if len(part) == n:
                yield part
                part = []
        yield part

    lines = []
    for category, columns, syms in symbols:
        syms = sorted(syms.split())
        lines.append("**%s**" % category)
        lines.append('')
        max_width = max(map(len, syms)) * 2 + 16
        header = "    " + (('=' * max_width) + ' ') * columns
        lines.append(header)
        for part in get_n(columns, syms):
            line = (
                "    " +
                " ".join(
                    "{} ``{}``".format(
                        sym
                        if not sym.startswith("\\")
                        else sym[1:]
                        if (sym[1:] in mathtext.Parser._overunder_functions
                            or sym[1:] in mathtext.Parser._function_names)
                        else chr(mathtext.tex2uni[sym[1:]]),
                        sym)
                    .rjust(max_width)
                    for sym in part))
            lines.append(line)
        lines.append(header)
        lines.append('')

    state_machine.insert_input(lines, "Symbol table")
    return []


@cbook.deprecated("3.2", alternative="MathSymbolTableDirective")
def math_symbol_table_directive(
        name, arguments, options, content, lineno,
        content_offset, block_text, state, state_machine):
    return run(state_machine)


class MathSymbolTableDirective(Directive):
    has_content = False
    required_arguments = 0
    optional_arguments = 0
    final_argument_whitespace = False
    option_spec = {}

    def run(self):
        return run(self.state_machine)


def setup(app):
    app.add_directive("math_symbol_table", MathSymbolTableDirective)

    metadata = {'parallel_read_safe': True, 'parallel_write_safe': True}
    return metadata


if __name__ == "__main__":
    # Do some verification of the tables
    from matplotlib import _mathtext_data

    print("SYMBOLS NOT IN STIX:")
    all_symbols = {}
    for category, columns, syms in symbols:
        if category == "Standard Function Names":
            continue
        syms = syms.split()
        for sym in syms:
            if len(sym) > 1:
                all_symbols[sym[1:]] = None
                if sym[1:] not in _mathtext_data.tex2uni:
                    print(sym)

    print("SYMBOLS NOT IN TABLE:")
    for sym in _mathtext_data.tex2uni:
        if sym not in all_symbols:
            print(sym)