Python/maths/largest_of_very_large_numbers.py
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Python

# Author: Abhijeeth S
import math
def res(x, y):
"""
Reduces large number to a more manageable number
>>> res(5, 7)
4.892790030352132
>>> res(0, 5)
0
>>> res(3, 0)
1
>>> res(-1, 5)
Traceback (most recent call last):
...
ValueError: math domain error
"""
if 0 not in (x, y):
# We use the relation x^y = y*log10(x), where 10 is the base.
return y * math.log10(x)
elif x == 0: # 0 raised to any number is 0
return 0
elif y == 0:
return 1 # any number raised to 0 is 1
raise AssertionError("This should never happen")
if __name__ == "__main__": # Main function
# Read two numbers from input and typecast them to int using map function.
# Here x is the base and y is the power.
prompt = "Enter the base and the power separated by a comma: "
x1, y1 = map(int, input(prompt).split(","))
x2, y2 = map(int, input(prompt).split(","))
# We find the log of each number, using the function res(), which takes two
# arguments.
res1 = res(x1, y1)
res2 = res(x2, y2)
# We check for the largest number
if res1 > res2:
print("Largest number is", x1, "^", y1)
elif res2 > res1:
print("Largest number is", x2, "^", y2)
else:
print("Both are equal")