import numpy as np
%matplotlib inline
import matplotlib.pyplot as plt
import seaborn as sns

import antipackage
import github.ellisonbg.misc.vizarray as va

"""
Explanation: Numpy Exercise 2
Imports
End of explanation
"""


def np_fact(n):
    if n == 0:
        return 1
    elif n == 1:
        return 1
    else:
        a = np.arange(1,n+1,1)
        b = a.cumprod()
    return b[-1]

assert np_fact(0)==1
assert np_fact(1)==1
assert np_fact(10)==3628800
assert [np_fact(i) for i in range(0,11)]==[1,1,2,6,24,120,720,5040,40320,362880,3628800]

"""
Explanation: Factorial
Write a function that computes the factorial of small numbers using np.arange and np.cumprod.
End of explanation
"""


def loop_fact(n):
    if n == 0:
        return 1
    elif n == 1:
        return 1
    else:
        a = 1
        while n >= 1:
            a = n * a
            n = n - 1
        return a

assert loop_fact(0)==1
assert loop_fact(1)==1
assert loop_fact(10)==3628800
assert [loop_fact(i) for i in range(0,11)]==[1,1,2,6,24,120,720,5040,40320,362880,3628800]

"""
Explanation: Write a function that computes the factorial of small numbers using a Python loop.
End of explanation
"""


# YOUR CODE HERE
%timeit -n1 -r1 (loop_fact)

%timeit -n1 -r1 (np_fact)

"""
Explanation: Use the %timeit magic to time both versions of this function for an argument of 50. The syntax for %timeit is:
python
%timeit -n1 -r1 function_to_time()
End of explanation
"""


