def testGamma(self):
self.compare(mathics.Expression('Gamma', mathics.Symbol('Global`z')),
sympy.gamma(sympy.Symbol('_Mathics_User_Global`z')))
self.compare(
mathics.Expression('Gamma', mathics.Symbol('Global`z'),
mathics.Symbol('Global`x')),
sympy.uppergamma(sympy.Symbol('_Mathics_User_Global`z'),
sympy.Symbol('_Mathics_User_Global`x')))
def testGamma(self):
self.compare(
mathics.Expression("Gamma", mathics.Symbol("Global`z")),
sympy.gamma(sympy.Symbol("_Mathics_User_Global`z")),
)
self.compare(
mathics.Expression(
"Gamma", mathics.Symbol("Global`z"), mathics.Symbol("Global`x")
),
sympy.uppergamma(
sympy.Symbol("_Mathics_User_Global`z"),
sympy.Symbol("_Mathics_User_Global`x"),
),
)
def testDerivative(self):
self.compare(
mathics.Expression(
'D', mathics.Symbol('Global`x'), mathics.Symbol('Global`y')),
sympy.Derivative(
sympy.Symbol('_Mathics_User_Global`x'),
sympy.Symbol('_Mathics_User_Global`y')))
def testAdd(self):
self.compare(
mathics.Expression(
'Plus', mathics.Integer(1), mathics.Symbol('Global`x')),
sympy.Add(
sympy.Integer(1),
sympy.Symbol('_Mathics_User_Global`x')))
def testDerivative2(self):
kwargs = {'converted_functions': set(['Global`f'])}
head = mathics.Expression(
mathics.Expression('System`Derivative', mathics.Integer(1),
mathics.Integer(0)), mathics.Symbol('Global`f'))
expr = mathics.Expression(head, mathics.Symbol('Global`x'),
mathics.Symbol('Global`y'))
sfxy = sympy.Function(str('_Mathics_User_Global`f'))(
sympy.Symbol('_Mathics_User_Global`x'),
sympy.Symbol('_Mathics_User_Global`y'))
sym_expr = sympy.Derivative(sfxy,
sympy.Symbol('_Mathics_User_Global`x'))
self.compare_to_sympy(expr, sym_expr, **kwargs)
def testIntegrate(self):
self.compare(
mathics.Expression(
'Integrate', mathics.Symbol('Global`x'),
mathics.Symbol('Global`y')),
sympy.Integral(
sympy.Symbol('_Mathics_User_Global`x'),
sympy.Symbol('_Mathics_User_Global`y')))
def testConvertedFunctions(self):
kwargs = {'converted_functions': set(['Global`f'])}
marg1 = mathics.Expression('Global`f', mathics.Symbol('Global`x'))
sarg1 = sympy.Function(str('_Mathics_User_Global`f'))(
sympy.Symbol('_Mathics_User_Global`x'))
self.compare(marg1, sarg1, **kwargs)
marg2 = mathics.Expression('Global`f', mathics.Symbol('Global`x'),
mathics.Symbol('Global`y'))
sarg2 = sympy.Function(str('_Mathics_User_Global`f'))(
sympy.Symbol('_Mathics_User_Global`x'),
sympy.Symbol('_Mathics_User_Global`y'))
self.compare(marg2, sarg2, **kwargs)
self.compare(
mathics.Expression('D', marg2, mathics.Symbol('Global`x')),
sympy.Derivative(sarg2, sympy.Symbol('_Mathics_User_Global`x')),
**kwargs)
def testDerivative(self):
self.compare(
mathics.Expression(
"D", mathics.Symbol("Global`x"), mathics.Symbol("Global`y")
),
sympy.Derivative(
sympy.Symbol("_Mathics_User_Global`x"),
sympy.Symbol("_Mathics_User_Global`y"),
),
)
def testIntegrate(self):
self.compare(
mathics.Expression(
"Integrate", mathics.Symbol("Global`x"), mathics.Symbol("Global`y")
),
sympy.Integral(
sympy.Symbol("_Mathics_User_Global`x"),
sympy.Symbol("_Mathics_User_Global`y"),
),
)
def testDerivative2(self):
kwargs = {"converted_functions": set(["Global`f"])}
head = mathics.Expression(
mathics.Expression(
"System`Derivative", mathics.Integer(1), mathics.Integer(0)
),
mathics.Symbol("Global`f"),
)
expr = mathics.Expression(
head, mathics.Symbol("Global`x"), mathics.Symbol("Global`y")
)
sfxy = sympy.Function(str("_Mathics_User_Global`f"))(
sympy.Symbol("_Mathics_User_Global`x"),
sympy.Symbol("_Mathics_User_Global`y"),
)
sym_expr = sympy.Derivative(sfxy, sympy.Symbol("_Mathics_User_Global`x"))
self.compare_to_sympy(expr, sym_expr, **kwargs)
def testConvertedFunctions(self):
kwargs = {"converted_functions": set(["Global`f"])}
marg1 = mathics.Expression("Global`f", mathics.Symbol("Global`x"))
sarg1 = sympy.Function(str("_Mathics_User_Global`f"))(
sympy.Symbol("_Mathics_User_Global`x")
)
self.compare(marg1, sarg1, **kwargs)
marg2 = mathics.Expression(
"Global`f", mathics.Symbol("Global`x"), mathics.Symbol("Global`y")
)
sarg2 = sympy.Function(str("_Mathics_User_Global`f"))(
sympy.Symbol("_Mathics_User_Global`x"),
sympy.Symbol("_Mathics_User_Global`y"),
)
self.compare(marg2, sarg2, **kwargs)
self.compare(
mathics.Expression("D", marg2, mathics.Symbol("Global`x")),
sympy.Derivative(sarg2, sympy.Symbol("_Mathics_User_Global`x")),
**kwargs
)
def testExpression(self):
self.compare(
mathics.Expression('Sin', mathics.Symbol('Global`x')),
sympy.sin(sympy.Symbol('_Mathics_User_Global`x')))
def testList(self):
self.compare(mathics.Expression('List', mathics.Integer(1)), [1])
def testAdd(self):
self.compare(
mathics.Expression("Plus", mathics.Integer(1), mathics.Symbol("Global`x")),
sympy.Add(sympy.Integer(1), sympy.Symbol("_Mathics_User_Global`x")),
)
def testExpression(self):
self.compare(
mathics.Expression("Sin", mathics.Symbol("Global`x")),
sympy.sin(sympy.Symbol("_Mathics_User_Global`x")),
)
