File: math_symbol_table.py

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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 \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(
                ":math:`{0}` ``{0}``".format(sym).rjust(max_width)
                for sym in part)
            lines.append(line)
        lines.append(header)
        lines.append('')

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

def math_symbol_table_directive(name, arguments, options, content, lineno,
                                content_offset, block_text, state, state_machine):
    return run(state_machine)

def setup(app):
    app.add_directive(
        'math_symbol_table', math_symbol_table_directive,
        False, (0, 1, 0))

    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)