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| """Module with some functions for MathML, like transforming MathML | |
| content in MathML presentation. | |
| To use this module, you will need lxml. | |
| """ | |
| from pathlib import Path | |
| from sympy.utilities.decorator import doctest_depends_on | |
| __doctest_requires__ = {('apply_xsl', 'c2p'): ['lxml']} | |
| def add_mathml_headers(s): | |
| return """<math xmlns:mml="http://www.w3.org/1998/Math/MathML" | |
| xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" | |
| xsi:schemaLocation="http://www.w3.org/1998/Math/MathML | |
| http://www.w3.org/Math/XMLSchema/mathml2/mathml2.xsd">""" + s + "</math>" | |
| def _read_binary(pkgname, filename): | |
| import sys | |
| if sys.version_info >= (3, 10): | |
| # files was added in Python 3.9 but only seems to work here in 3.10+ | |
| from importlib.resources import files | |
| return files(pkgname).joinpath(filename).read_bytes() | |
| else: | |
| # read_binary was deprecated in Python 3.11 | |
| from importlib.resources import read_binary | |
| return read_binary(pkgname, filename) | |
| def _read_xsl(xsl): | |
| # Previously these values were allowed: | |
| if xsl == 'mathml/data/simple_mmlctop.xsl': | |
| xsl = 'simple_mmlctop.xsl' | |
| elif xsl == 'mathml/data/mmlctop.xsl': | |
| xsl = 'mmlctop.xsl' | |
| elif xsl == 'mathml/data/mmltex.xsl': | |
| xsl = 'mmltex.xsl' | |
| if xsl in ['simple_mmlctop.xsl', 'mmlctop.xsl', 'mmltex.xsl']: | |
| xslbytes = _read_binary('sympy.utilities.mathml.data', xsl) | |
| else: | |
| xslbytes = Path(xsl).read_bytes() | |
| return xslbytes | |
| def apply_xsl(mml, xsl): | |
| """Apply a xsl to a MathML string. | |
| Parameters | |
| ========== | |
| mml | |
| A string with MathML code. | |
| xsl | |
| A string giving the name of an xsl (xml stylesheet) file which can be | |
| found in sympy/utilities/mathml/data. The following files are supplied | |
| with SymPy: | |
| - mmlctop.xsl | |
| - mmltex.xsl | |
| - simple_mmlctop.xsl | |
| Alternatively, a full path to an xsl file can be given. | |
| Examples | |
| ======== | |
| >>> from sympy.utilities.mathml import apply_xsl | |
| >>> xsl = 'simple_mmlctop.xsl' | |
| >>> mml = '<apply> <plus/> <ci>a</ci> <ci>b</ci> </apply>' | |
| >>> res = apply_xsl(mml,xsl) | |
| >>> print(res) | |
| <?xml version="1.0"?> | |
| <mrow xmlns="http://www.w3.org/1998/Math/MathML"> | |
| <mi>a</mi> | |
| <mo> + </mo> | |
| <mi>b</mi> | |
| </mrow> | |
| """ | |
| from lxml import etree | |
| parser = etree.XMLParser(resolve_entities=False) | |
| ac = etree.XSLTAccessControl.DENY_ALL | |
| s = etree.XML(_read_xsl(xsl), parser=parser) | |
| transform = etree.XSLT(s, access_control=ac) | |
| doc = etree.XML(mml, parser=parser) | |
| result = transform(doc) | |
| s = str(result) | |
| return s | |
| def c2p(mml, simple=False): | |
| """Transforms a document in MathML content (like the one that sympy produces) | |
| in one document in MathML presentation, more suitable for printing, and more | |
| widely accepted | |
| Examples | |
| ======== | |
| >>> from sympy.utilities.mathml import c2p | |
| >>> mml = '<apply> <exp/> <cn>2</cn> </apply>' | |
| >>> c2p(mml,simple=True) != c2p(mml,simple=False) | |
| True | |
| """ | |
| if not mml.startswith('<math'): | |
| mml = add_mathml_headers(mml) | |
| if simple: | |
| return apply_xsl(mml, 'mathml/data/simple_mmlctop.xsl') | |
| return apply_xsl(mml, 'mathml/data/mmlctop.xsl') | |