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Algebra of Sets

Project description

How to have a set containing all real numbers from 1 to 10 not including 10?
How to add interval from 20 to 30 to the set?
How to make sure this set is a subset of set of positive numbers?
How to add scalar number to it?
How to get complement of the set?
>>> from set_algebra import Interval, Set
>>> s = Set('[1, 10)')
>>> 1 in s
True
>>> 10 in s
False
>>> s.add(Interval('[20, 30]'))
>>> 25 in s
True
>>> s <= Set('(0, inf)')
True
>>> s.add(100)
>>> s.notation
'[1, 10), [20, 30], {100}'
>>> (~s).notation
'(-inf, 1), [10, 20), (30, 100), (100, inf)'

Set-Algebra provides classes representing math concepts:

  • Infinity
  • Endpoint
  • Interval
  • Uncountable Infinite Set

Besides numbers, Set-Algebra supports all objects that can be compared to each other - strings, datetimes, etc.

Infinity() is greater than any of these objects except float(‘inf’) and float(‘nan’). NegativeInfinity included as well.

Set-Algebra fully supports Python3. Tested on python 2.7, 3.2 - 3.6.

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