Fun

π.py

me@amadeus:~$ python3 -q
>>> import math
>>> 
>>> def exp(x):
...     a = 1
...     for i in range(1, 100):
...             a += (x ** i) / math.factorial(i)
...     return a
... 
>>> def ln(x):
...     a = 0
...     for i in range(100):
...             a += 2 * (x - exp(a)) / (x + exp(a))
...     return a
... 
>>> x = 3
>>> for i in range(3):
...     x += math.sin(x)
... 
>>> x
3.141592653589793
>>> x/math.pi
1.0
>>> 
>>> exp(x * ln(x))
36.46215960720795
>>> math.exp(math.pi * math.log(math.pi))
36.4621596072079
>>> 
>>> exp(1/x * ln(x))
1.4396194958475905
>>> math.exp(1/math.pi * math.log(math.pi))
1.4396194958475907
>>> 
>>> # &•
>>> 
me@amadeus:~$