An algebra for intervals over a range of continuous values
Project description
clothesline
A library to handle sets, made of intervals over a continuous infinite axis (a "domain") such as the real numbers or date/times.
import clothesline
bld = clothesline.RealIntervalSet.builder()
set1 = bld[-10](10) - bld(0)[1]
set1 # [-10, 0] U (1, 10)
set1.extension() # 19
set2 = set1 + bld[100](...)
set2.complement() # (-inf, -10) U (0, 1] U [10, 100)
set2 + set2.complement() # (-inf, +inf)
Quickstart
Note: for the full documentation, visit clothesline.readthedocs.io
.
Work with sets
The library provides ready-to-use
RealIntervalSet
to deal with sets over a number line
and DatetimeIntervalSet
for date intervals.
Start by importing the library and getting a builder
for interval sets on the real line:
import clothesline
bld = clothesline.RealIntervalSet.builder()
Create a couple of intervals:
set1 = bld(0)(10)
set2 = bld[0][1] + bld(2)(3) + bld[20](...)
print(set2)
Here, round brackets mean that the boundary is excluded; square brackets mean the point is included. Three dots stand for the point at infinity.
You can also get an utils
object, to create standard sets such as open or closed intervals, point-like sets and so on:
uti = clothesline.RealIntervalSet.utils()
set3 = uti.open(0, 5)
set4 = uti.high_slice(10, included=True)
Most set operations are supported: from complement to difference, from inclusion tests to XOR. Interval Sets should be treated as immutable objects. Moreover, since the internal representation of a set is always normalized to a canonical form, equality tests work as you would expect:
set5 = set4.union(set2)
set4 - set2
set3 + bld[3](10) == set1 # True
For more ways to create and manipulate sets, have a look at the User Guide in the full documentation.
Store and retrieve
You can convert any interval set into a string (e.g. to store it into a database) and re-hydrate it later:
import json
serialized = json.dumps(set3.to_dict())
# ...
new_set3 = uti.from_dict(json.loads(serialized))
new_set3 == set3 # True
Datetimes
Support for datetimes is ready out-of-the-box:
from datetime import datetime
dbld = clothesline.DatetimeIntervalSet.builder()
timespan1 = dbld[datetime(2010, 10, 10)](datetime(2011, 2, 20))
print(timespan1.complement())
print(timespan1.extension())
That's it! For more, check the full documentation.
Contributing
Coming soon.
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