Algebra of Sets in Python
=================================
| 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?
.. code:: python
>>> 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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"description": "Algebra of Sets in Python\n=================================\n\n| How to have a set containing all real numbers from 1 to 10 not including 10?\n| How to add interval from 20 to 30 to the set?\n| How to make sure this set is a subset of set of positive numbers?\n| How to add scalar number to it?\n| How to get complement of the set?\n\n.. code:: python\n\n >>> from set_algebra import Interval, Set\n >>> s = Set('[1, 10)')\n >>> 1 in s\n True\n >>> 10 in s\n False\n >>> s.add(Interval('[20, 30]'))\n >>> 25 in s\n True\n >>> s <= Set('(0, inf)')\n True\n >>> s.add(100)\n >>> s.notation\n '[1, 10), [20, 30], {100}'\n >>> (~s).notation\n '(-inf, 1), [10, 20), (30, 100), (100, inf)'\n\nSet-Algebra provides classes representing math concepts:\n\n- Infinity\n- Endpoint\n- Interval\n- Uncountable Infinite Set\n\nBesides numbers, Set-Algebra supports all objects that can be compared to each other - strings, datetimes, etc.\n\nInfinity() is greater than any of these objects except float('inf') and float('nan').\nNegativeInfinity included as well.\n\n\nSet-Algebra fully supports Python3. Tested on python 2.7, 3.2 - 3.6.\n\n",
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