intervalset2 1.0.2

Powerful Interval Set operations.

Install

pip install intervalset2

Basic Use Case

• import

>>> from intervalset2 import IntervalSet, NEG_INF, POS_INF

• initialize an interval set (follow simply called "TVS")

>>> IntervalSet.parse_from_str('(-inf, -10) | (-3, 3) | 5 | (10, inf)')
(-inf, -10) | (-3, 3) | 5 | (10, inf)       # a TVS all intervals is open
>>> IntervalSet.parse_from_str('(-inf, -10) | [-3, 3) | 5 | [10, inf)')
(-inf, -10) | [-3, 3) | 5 | [10, inf)       # a TVS part of intervals is open
>>> IntervalSet.parse_from_str('(-inf, -10] | [-3, 3] | 5 | [10, inf)')
(-inf, -10] | [-3, 3] | 5 | [10, inf)       # a TVS all intervals is close
>>> IntervalSet.parse_from_str('')          # an empty TVS

>>> IntervalSet.empty_tvs()                 # get an empty TVS

>>> IntervalSet.inf_tvs()                   # get an infinite TVS
(-inf, inf)
>>> tvs = IntervalSet.parse_from_str('(2, 5) | 5 | (5, 8) | (7, 9) | (10, inf)')
>>> tvs                                     # intervals will be merged automatically
(2, 9) | (10, inf)  
>>> len(tvs)                                # the number of its intervals
2  
>>> tvs[1]                                  # TVS support __getitem__
(10, inf)  
>>> tvs[:]                                  # TVS support slice __getitem__
[(2, 9), (10, inf)]  
>>> [2, 3, False, True] in tvs              # TVS support __contains__
True 
>>> 20 in tvs                               # TVS support __contains__ on  discrete point
True 
>>> tvs2 = tvs.copy()                       # get a copy
>>> tvs2 == tvs  
True                                        # all intervals of two TVS objects is same
>>> tvs2.is_disjoint(tvs)                   # whether a TVS overlap on other
False                                       
>>> from datetime import date
>>> IntervalSet([[date.fromisoformat('2023-12-03'), 
                  date.fromisoformat('2023-12-05'), 
                  True, False]])
[2023-12-03, 2023-12-05)                    # also support other data type as interval 
>>> IntervalSet([['a', 'c', True, False],['b', 'd', True, False]])
[a, d)

• add an interval into a tvs

>>> tvs1 = IntervalSet.parse_from_str('(0, 3] | (100, inf)')
>>> tvs1.add(3, 4)
>>> tvs1
(0, 4) | (100, inf)
>>> tvs1.add(4, 4)
>>> tvs1
(0, 4] | (100, inf)

• union

>>> tvs1 = IntervalSet.parse_from_str('(0, 3] | (100, inf)')
>>> tvs2 = IntervalSet.parse_from_str('(2, 5) | (-inf, -100)')
>>> tvs3 = IntervalSet.parse_from_str('[4, 9) | 0')
>>> tvs1.union(tvs2, tvs3)
(-inf, -100) | [0, 9) | (100, inf)
>>> tvs1.union()  # also can passed in zero other interval sets
(0, 3] | (100, inf)

• intersection

>>> tvs1 = IntervalSet.parse_from_str('(0, 5] | (100, inf)')
>>> tvs2 = IntervalSet.parse_from_str('(2, 7) | (200, inf)')
>>> tvs3 = IntervalSet.parse_from_str('[4, 9) | (300, inf)')
>>> tvs1.intersection(tvs2, tvs3)
[4, 5] | (300, inf)
>>> tvs1.intersection()  # also can passed in zero other interval sets
(0, 5] | (100, inf)

• difference

>>> tvs1 = IntervalSet.parse_from_str('(0, 10) | (100, inf)')
>>> tvs2 = IntervalSet.parse_from_str('(2, 7) | (200, inf)')
>>> tvs3 = IntervalSet.parse_from_str('[4, 9) | (300, inf)')
>>> tvs1.difference(tvs2, tvs3)
(0, 2] | [9, 10) | (100, 200]
>>> tvs1.intersection()  # also can passed in zero other interval sets
(0, 10) | (100, inf)

• symmetric difference

>>> tvs1 = IntervalSet.parse_from_str('(0, 3] | (100, inf)')
>>> tvs2 = IntervalSet.parse_from_str('(2, 5) | (200, inf)')
>>> tvs3 = IntervalSet.parse_from_str('[4, 9) | (300, inf)')
>>> tvs1.symmetric_difference(tvs2, tvs3)
(0, 2] | (3, 4) | [5, 9) | (100, 200]
>>> tvs1.symmetric_difference()  # also can passed in zero other interval sets
(0, 3] | (100, inf) 

• complementary

>>> tvs1 = IntervalSet.parse_from_str('(0, 3] | (100, inf)')
>>> tvs1.complementary()
(-inf, 0] | (3, 100]
>>> tvs1 = IntervalSet.parse_from_str('-3 | (0, 2]')
>>> tvs2 = IntervalSet.parse_from_str('(3, 5)')
>>> tvs3 = IntervalSet.parse_from_str('[7, 9) | (300, inf)')
>>> IntervalSet.complementary_many(tvs1, tvs2, tvs3)
(-inf, -3) | (-3, 0] | (2, 3] | [5, 7) | [9, 300]

• other
  • union also support | |=
  • intersection also support & &=
  • difference also support - -=
  • symmetric difference also support ^ ^=
  • complementary also support ~

FAQ

• for interval in a TVS, what required?
  • must support compare methods, like lt, gt, ...
• follow-up plan?
  • improve the performance of some methods