def ex(x: Union[int, float]) -> float:
"""
Calculate value of e^x with Taylor series
:param x: x value
:return: e^x value
"""
e_x = 1
for i in range(1, 10):
e_x += x**i / factorial_iterative(i)
return e_x
def sinx(x: Union[int, float]) -> float:
"""
Calculate sin(x) with Taylor series
:param x: x value
:return: sin(x) value
"""
sin_x = x
for n in range(1, 10):
sin_x += (-1)**n * x**(2*n+1)/factorial_iterative(2*n+1)
return sin_x
def sinx(x: Union[int, float]) -> float:
"""
Calculate sin(x) with Taylor series
:param x: x value
:return: sin(x) value
"""
if x == 0:
return 1
counter = 0
res = x
while counter < 50:
counter += 1
if not counter % 2:
e = (x**(2 * counter + 1)) / factorial_iterative(2 * counter + 1)
res += e
if counter % 2:
e = (x**(2 * counter + 1)) / factorial_iterative(2 * counter + 1)
res -= e
return res
def ex(x: Union[int, float]) -> float:
"""
Calculate value of e^x with Taylor series
:param x: x value
:return: e^x value
"""
if x == 0:
return 1
counter = 0
res = 1
while counter < 50:
counter += 1
e = (x**counter) / factorial_iterative(counter)
res += e
return res
def test_fact_iterative(self):
self.assertEqual(math.factorial(12), fact.factorial_iterative(12), msg="I think there's a mistake :)")
def test_fact_iter_exc(self):
with self.assertRaises(ValueError, msg="ValueError should be here..."):
fact.factorial_iterative(-1121)
def test_fact_iter_zero(self):
self.assertEqual(1,
fact.factorial_iterative(0),
msg="I think there's a mistake :)")