def test_doit():
a = Integral(x ** 2, x)
assert isinstance(a.doit(), Integral) == False
assert isinstance(a.doit(integrals=True), Integral) == False
assert isinstance(a.doit(integrals=False), Integral) == True
assert (2 * Integral(x, x)).doit() == x ** 2
def test_doit():
a = Integral(x**2, x)
assert isinstance(a.doit(), Integral) == False
assert isinstance(a.doit(integrals=True), Integral) == False
assert isinstance(a.doit(integrals=False), Integral) == True
assert (2 * Integral(x, x)).doit() == x**2
def test_Subs_subs():
assert Subs(x * y, x, x).subs(x, y) == Subs(x * y, x, y)
assert Subs(x * y, x, x + 1).subs(x, y) == Subs(x * y, x, y + 1)
assert Subs(x * y, y, x + 1).subs(x, y) == Subs(y**2, y, y + 1)
a = Subs(x * y * z, (y, x, z), (x + 1, x + z, x))
b = Subs(x * y * z, (y, x, z), (x + 1, y + z, y))
assert a.subs(x, y) == b and a.doit().subs(x, y) == a.subs(x, y).doit()
f = Function("f")
g = Function("g")
assert Subs(2 * f(x, y) + g(x), f(x, y),
1).subs(y, 2) == Subs(2 * f(x, y) + g(x), (f(x, y), y), (1, 2))
def test_Subs_subs():
assert Subs(x*y, x, x).subs(x, y) == Subs(x*y, x, y)
assert Subs(x*y, x, x + 1).subs(x, y) == \
Subs(x*y, x, y + 1)
assert Subs(x*y, y, x + 1).subs(x, y) == \
Subs(y**2, y, y + 1)
a = Subs(x*y*z, (y, x, z), (x + 1, x + z, x))
b = Subs(x*y*z, (y, x, z), (x + 1, y + z, y))
assert a.subs(x, y) == b and \
a.doit().subs(x, y) == a.subs(x, y).doit()
f = Function('f')
g = Function('g')
assert Subs(2*f(x, y) + g(x), f(x, y), 1).subs(y, 2) == Subs(
2*f(x, y) + g(x), (f(x, y), y), (1, 2))
def test_doit():
a = OperationsOnlyMatrix([[Add(x, x, evaluate=False)]])
assert a[0] != 2 * x
assert a.doit() == Matrix([[2 * x]])
def test_doit():
a = OperationsOnlyMatrix([[Add(x,x, evaluate=False)]])
assert a[0] != 2*x
assert a.doit() == Matrix([[2*x]])
