Accuracy of python decimals

Question

How do I make the decimal in Python more accurate, so that I can calculate up to

0.0000000000001 * 0.0000000000000000001 = ?

I need to add decimals like 0.0000000145 and 0.00000000000000012314 and also multiply them and get the exact result. Is there a needed code, or is there a module? Thanks in advance.

I need something that is more accurate than decimal.Decimal.

Answer 1

Not sure why you're getting downvoted.

decimal.Decimal represents numbers using floating point in base 10. Since it isn't implemented directly in hardware, you can control the level of precision (which defaults to 28 places):

>>> from decimal import *
>>> getcontext().prec = 6
>>> Decimal(1) / Decimal(7)
0.142857

However, you may prefer to use the mpmath module instead, which supports arbitrary precision real and complex floating point calculations:

>>> from mpmath import mp
>>> mp.dps = 50
>>> print(mp.quad(lambda x: mp.exp(-x**2), [-mp.inf, mp.inf]) ** 2)
3.1415926535897932384626433832795028841971693993751