def testInteger(self):
self.compare(mathics.Integer(0), sympy.Integer(0))
self.compare(mathics.Integer(1), sympy.Integer(1))
n = random.randint(-sys.maxsize, sys.maxsize)
self.compare(mathics.Integer(n), sympy.Integer(n))
n = random.randint(sys.maxsize, sys.maxsize * sys.maxsize)
self.compare(mathics.Integer(n), sympy.Integer(n))
def testComplex(self):
self.compare(
mathics.Complex(mathics.Real('1.0'), mathics.Real('1.0')),
sympy.Add(sympy.Float('1.0'),
sympy.Float('1.0') * sympy.I))
self.compare(mathics.Complex(mathics.Integer(0), mathics.Integer(1)),
sympy.I)
self.compare(mathics.Complex(mathics.Integer(-1), mathics.Integer(1)),
sympy.Integer(-1) + sympy.I)
def testComplex(self):
self.compare(
mathics.Complex(mathics.Real("1.0"), mathics.Real("1.0")),
sympy.Add(sympy.Float("1.0"), sympy.Float("1.0") * sympy.I),
)
self.compare(mathics.Complex(mathics.Integer(0), mathics.Integer(1)), sympy.I)
self.compare(
mathics.Complex(mathics.Integer(-1), mathics.Integer(1)),
sympy.Integer(-1) + sympy.I,
)
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 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 testComplex(self):
self.compare(mathics.Complex(mathics.Integer(1), mathics.Integer(1)), 1 + 1j)
self.compare(
mathics.Complex(mathics.MachineReal(1.0), mathics.MachineReal(1.0)),
1.0 + 1.0j,
)
self.compare(
mathics.Complex(mathics.Integer(1), mathics.MachineReal(1.0)), 1 + 1.0j
)
self.compare(
mathics.Complex(mathics.MachineReal(1.0), mathics.Integer(1)), 1.0 + 1j
)
self.compare(
mathics.Complex(mathics.Real("1.0", 5), mathics.Integer(1)), 1.0 + 1j
)
self.compare(
mathics.Complex(mathics.Integer(1), mathics.Real("1.0", 20)), 1 + 1.0j
)
self.compare(mathics.Complex(mathics.Integer(0), mathics.Integer(1)), 1j)
self.compare(mathics.Complex(mathics.Integer(1), mathics.Integer(0)), 1)
def testInteger(self):
self.compare(mathics.Integer(1), 1)
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")),
)
