/usr/share/pyshared/sympy/printing/mathml.py is in python-sympy 0.7.1.rc1-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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A MathML printer.
"""
from sympy import Basic, sympify, S
from sympy.simplify import fraction
from printer import Printer
from conventions import split_super_sub
class MathMLPrinter(Printer):
"""Prints an expression to the MathML markup language
Whenever possible tries to use Content markup and not Presentation markup.
References: http://www.w3.org/TR/MathML2/
"""
printmethod = "_mathml"
_default_settings = {
"order": None,
"encoding": "utf-8"
}
def __init__(self, settings=None):
Printer.__init__(self, settings)
from xml.dom.minidom import Document
self.dom = Document()
def doprint(self, expr):
mathML = Printer._print(self, expr)
return mathML.toxml(encoding=self._settings['encoding'])
def mathml_tag(self, e):
"""Returns the MathML tag for an expression."""
translate = {
'Add': 'plus',
'Mul': 'times',
'Derivative': 'diff',
'Number': 'cn',
'int': 'cn',
'Pow': 'power',
'Symbol': 'ci',
'Integral': 'int',
'Sum': 'sum',
'sin': 'sin',
'cos': 'cos',
'tan': 'tan',
'cot': 'cot',
'asin': 'arcsin',
'asinh': 'arcsinh',
'acos': 'arccos',
'acosh': 'arccosh',
'atan': 'arctan',
'atanh': 'arctanh',
'acot': 'arccot',
'atan2': 'arctan',
'log': 'ln',
'Equality': 'eq',
'Unequality': 'neq',
'StrictInequality': 'lt',
'Inequality': 'leq'
}
for cls in e.__class__.__mro__:
n = cls.__name__
if n in translate:
return translate[n]
# Not found in the MRO set
n = e.__class__.__name__
return n.lower()
def _print_Mul(self, expr):
coeff, terms = expr.as_coeff_mul()
if coeff.is_negative:
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('minus'))
x.appendChild(self._print_Mul(-expr))
return x
numer, denom = fraction(expr)
if not denom is S.One:
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('divide'))
x.appendChild(self._print(numer))
x.appendChild(self._print(denom))
return x
if self.order != 'old':
terms = expr._new_rawargs(*terms).as_ordered_factors()
if coeff == 1 and len(terms) == 1:
return self._print(terms[0])
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('times'))
if(coeff != 1):
x.appendChild(self._print(coeff))
for term in terms:
x.appendChild(self._print(term))
return x
def _print_Add(self, expr, order=None):
args = self._as_ordered_terms(expr, order=order)
lastProcessed = self._print(args[0])
plusNodes = []
for arg in args[1:]:
coeff, _ = arg.as_coeff_mul()
if(coeff.is_negative):
#use minus
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('minus'))
x.appendChild(lastProcessed)
x.appendChild(self._print(-arg))
#invert expression since this is now minused
lastProcessed = x;
if(arg == args[-1]):
plusNodes.append(lastProcessed)
else:
plusNodes.append(lastProcessed)
lastProcessed = self._print(arg)
if(arg == args[-1]):
plusNodes.append(self._print(arg))
if len(plusNodes) == 1:
return lastProcessed
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('plus'))
while len(plusNodes) > 0:
x.appendChild(plusNodes.pop(0))
return x
def _print_Matrix(self, m):
x = self.dom.createElement('matrix')
for i in range(m.lines):
x_r = self.dom.createElement('matrixrow')
for j in range(m.cols):
x_r.appendChild(self._print(m[i,j]))
x.appendChild(x_r)
return x
def _print_Rational(self, e):
if e.q == 1:
#don't divide
x = self.dom.createElement('cn')
x.appendChild(self.dom.createTextNode(str(e.p)))
return x
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('divide'))
#numerator
xnum = self.dom.createElement('cn')
xnum.appendChild(self.dom.createTextNode(str(e.p)))
#denomenator
xdenom = self.dom.createElement('cn')
xdenom.appendChild(self.dom.createTextNode(str(e.q)))
x.appendChild(xnum)
x.appendChild(xdenom)
return x
def _print_Limit(self, e):
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement(self.mathml_tag(e)))
x_1 = self.dom.createElement('bvar')
x_2 = self.dom.createElement('lowlimit')
x_1.appendChild(self._print(e.args[1]))
x_2.appendChild(self._print(e.args[2]))
x.appendChild(x_1)
x.appendChild(x_2)
x.appendChild(self._print(e.args[0]))
return x
def _print_ImaginaryUnit(self,e):
return self.dom.createElement('imaginaryi')
def _print_EulerGamma(self,e):
return self.dom.createElement('eulergamma')
def _print_GoldenRatio(self,e):
"""We use unicode #x3c6 for Greek letter phi as defined here
http://www.w3.org/Math/characters/"""
x = self.dom.createElement('cn')
x.appendChild(self.dom.createTextNode(u"\u03c6"))
return x
def _print_Exp1(self,e):
return self.dom.createElement('exponentiale')
def _print_Pi(self, e):
return self.dom.createElement('pi')
def _print_Infinity(self, e):
return self.dom.createElement('infinity')
def _print_Negative_Infinity(self,e):
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('minus'))
x.appendChild(self.dom.createElement('infinity'))
return x
def _print_Integral(self, e):
def lime_recur(limits):
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement(self.mathml_tag(e)))
bvar_elem = self.dom.createElement('bvar')
bvar_elem.appendChild(self._print(limits[0][0]))
x.appendChild(bvar_elem)
if len(limits[0]) == 3:
low_elem = self.dom.createElement('lowlimit')
low_elem.appendChild(self._print(limits[0][1]))
x.appendChild(low_elem)
up_elem = self.dom.createElement('uplimit')
up_elem.appendChild(self._print(limits[0][2]))
x.appendChild(up_elem)
if len(limits[0]) == 2:
up_elem = self.dom.createElement('uplimit')
up_elem.appendChild(self._print(limits[0][1]))
x.appendChild(up_elem)
if len(limits) == 1:
x.appendChild(self._print(e.function))
else:
x.appendChild(lime_recur(limits[1:]))
return x
limits = list(e.limits)
limits.reverse()
return lime_recur(limits)
def _print_Sum(self, e):
# Printer can be shared because Sum and Integral have the
# same internal representation.
return self._print_Integral(e)
def _print_Symbol(self, sym):
ci = self.dom.createElement(self.mathml_tag(sym))
def join(items):
if len(items) > 1:
mrow = self.dom.createElement('mml:mrow')
for i, item in enumerate(items):
if i>0:
mo = self.dom.createElement('mml:mo')
mo.appendChild(self.dom.createTextNode(" "))
mrow.appendChild(mo)
mi = self.dom.createElement('mml:mi')
mi.appendChild(self.dom.createTextNode(item))
mrow.appendChild(mi)
return mrow
else:
mi = self.dom.createElement('mml:mi')
mi.appendChild(self.dom.createTextNode(items[0]))
return mi
name, supers, subs = split_super_sub(sym.name)
mname = self.dom.createElement('mml:mi')
mname.appendChild(self.dom.createTextNode(name))
if len(supers) == 0:
if len(subs) == 0:
ci.appendChild(self.dom.createTextNode(name))
else:
msub = self.dom.createElement('mml:msub')
msub.appendChild(mname)
msub.appendChild(join(subs))
ci.appendChild(msub)
else:
if len(subs) == 0:
msup = self.dom.createElement('mml:msup')
msup.appendChild(mname)
msup.appendChild(join(supers))
ci.appendChild(msup)
else:
msubsup = self.dom.createElement('mml:msubsup')
msubsup.appendChild(mname)
msubsup.appendChild(join(subs))
msubsup.appendChild(join(supers))
ci.appendChild(msubsup)
return ci
def _print_Pow(self, e):
#Here we use root instead of power if the exponent is the reciprocal of an integer
if e.exp.is_Rational and e.exp.p == 1:
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement('root'))
if e.exp.q != 2:
xmldeg = self.dom.createElement('degree')
xmlci = self.dom.createElement('ci')
xmlci.appendChild(self.dom.createTextNode(str(e.exp.q)))
xmldeg.appendChild(xmlci)
x.appendChild(xmldeg)
x.appendChild(self._print(e.base))
return x
x = self.dom.createElement('apply')
x_1 = self.dom.createElement(self.mathml_tag(e))
x.appendChild(x_1)
x.appendChild(self._print(e.base))
x.appendChild(self._print(e.exp))
return x
def _print_Number(self, e):
x = self.dom.createElement(self.mathml_tag(e))
x.appendChild(self.dom.createTextNode(str(e)))
return x
def _print_Derivative(self, e):
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement(self.mathml_tag(e)))
x_1 = self.dom.createElement('bvar')
for sym in e.variables:
x_1.appendChild(self._print(sym))
x.appendChild(x_1)
x.appendChild(self._print(e.expr))
return x
def _print_Function(self, e):
x = self.dom.createElement("apply")
x.appendChild(self.dom.createElement(self.mathml_tag(e)))
for arg in e.args:
x.appendChild(self._print(arg))
return x
def _print_Basic(self, e):
x = self.dom.createElement(self.mathml_tag(e))
for arg in e:
x.appendChild(self._print(arg))
return x
def _print_AssocOp(self, e):
x = self.dom.createElement('apply')
x_1 = self.dom.createElement(self.mathml_tag(e))
x.appendChild(x_1)
for arg in e.args:
x.appendChild(self._print(arg))
return x
def _print_Relational(self, e):
x = self.dom.createElement('apply')
x.appendChild(self.dom.createElement(self.mathml_tag(e)))
x.appendChild(self._print(e.lhs))
x.appendChild(self._print(e.rhs))
return x
def _print_list(self, seq):
"""MathML reference for the <list> element:
http://www.w3.org/TR/MathML2/chapter4.html#contm.list"""
dom_element = self.dom.createElement('list')
for item in seq:
dom_element.appendChild(self._print(item))
return dom_element
def _print_int(self, p):
dom_element = self.dom.createElement(self.mathml_tag(p))
dom_element.appendChild(self.dom.createTextNode(str(p)))
return dom_element
def mathml(expr, **settings):
"""Returns the MathML representation of expr"""
return MathMLPrinter(settings).doprint(expr)
def print_mathml(expr, **settings):
"""
Prints a pretty representation of the MathML code for expr
>>> ##
>>> from sympy.printing.mathml import print_mathml
>>> from sympy.abc import x
>>> print_mathml(x+1) #doctest: +NORMALIZE_WHITESPACE
<apply>
<plus/>
<ci>
x
</ci>
<cn>
1
</cn>
</apply>
"""
s = MathMLPrinter(settings)
print s._print(sympify(expr)).toprettyxml(encoding="utf-8")
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