drange


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Version 0.1.0 PyPI version JSON
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SummaryDiscrete interval storage and algebra on integers (allowing for positive and negative infinity), stored as coalesced intervals.
upload_time2025-09-01 17:21:43
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requires_python>=3.9
licenseMIT License Copyright (c) 2025 YOUR NAME Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
keywords coalesced discrete infinite integers interval ranges set
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            # drange

Discrete interval algebra on **integers** (with +/- infinity), stored as coalesced runs.

- Fast set-like operations over huge or infinite sets of integers.
- Canonical internal form: sorted, disjoint, adjacency-merged **closed** intervals.
- Human-readable serialization with simple round-trips.
- Hashable, fully typed, and tested.

> Examples:
([1:3],[7:9])           # {1,2,3,7,8,9}
()                      # empty
([<:>])                 # universal
([<:5],[7:12])          # negative infinity to 5, plus 7 through 12
([-10:>])               # all naturals from -10 to positive infinity
(4,5,10,20,[22:25])     # singletons amid runs. Note 4 and 5
([4:5],10,20,[22:25])   # [4:5] would also be valid
---

## Install

```bash
pip install drange

## How-tos

### Import
from drange.interval_set import IntervalSet

### Build from disparate sources:
A = IntervalSet.from_items([1,2,2,3,10,11,12])  # -> ([1:3],[10:12])
B = IntervalSet.from_string("([<:0],[100:>])")

### Merge adjacent and overlapping ranges:
A = IntervalSet.from_string("([1:3],[4:6])")
assert A.to_string() == "([1:6])"

### Compute complement within a finite window
S = IntervalSet.from_string("([2:5],[9:10])")
neg = ~S                                    # -> ([<:1],[6:8],[11:>])
list_not_S = list(neg.iter_values(0,12))    # -> [0,1,6,7,8,11,12]
S_not = IntervalSet.from_items(list_not_s)  # -> (0,1,[6:8],11,12)

### Subset checks (allowing infinities)
A = IntervalSet.from_string("([<:10])")
B = IntervalSet.from_string("([<:20])")
assert A <= B and A < B

### Equality
A = IntervalSet.from_string("([1:4])")
B = IntervalSet.from_string("([3:6])")
lhs = A ^ B
rhs = (A | B) - (A & B)
assert lhs == rhs

### Serialization/deserialization
s = "([4:5],10,15,20,[22:25],[28:29])"
iv_set = IntervalSet.from_string(s)
assert iv_set.to_string() == s


## Performance notes
- Operations are linear in the number of stored runs (`r`), not in the number of elements.
- Union/intersection/difference/symmetric-difference: O(A.r + B.r)
- Membership test: O(log r) via binary search on starts.
- Memory scales with the number of runs, not elements.

## License
MIT. See LICENSE

## Changelog
See CHANGELOG.md. Current release: 0.1.0

            

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    "description": "# drange\n\nDiscrete interval algebra on **integers** (with +/- infinity), stored as coalesced runs.\n\n- Fast set-like operations over huge or infinite sets of integers.\n- Canonical internal form: sorted, disjoint, adjacency-merged **closed** intervals.\n- Human-readable serialization with simple round-trips.\n- Hashable, fully typed, and tested.\n\n> Examples:\n([1:3],[7:9])           # {1,2,3,7,8,9}\n()                      # empty\n([<:>])                 # universal\n([<:5],[7:12])          # negative infinity to 5, plus 7 through 12\n([-10:>])               # all naturals from -10 to positive infinity\n(4,5,10,20,[22:25])     # singletons amid runs. Note 4 and 5\n([4:5],10,20,[22:25])   # [4:5] would also be valid\n---\n\n## Install\n\n```bash\npip install drange\n\n## How-tos\n\n### Import\nfrom drange.interval_set import IntervalSet\n\n### Build from disparate sources:\nA = IntervalSet.from_items([1,2,2,3,10,11,12])  # -> ([1:3],[10:12])\nB = IntervalSet.from_string(\"([<:0],[100:>])\")\n\n### Merge adjacent and overlapping ranges:\nA = IntervalSet.from_string(\"([1:3],[4:6])\")\nassert A.to_string() == \"([1:6])\"\n\n### Compute complement within a finite window\nS = IntervalSet.from_string(\"([2:5],[9:10])\")\nneg = ~S                                    # -> ([<:1],[6:8],[11:>])\nlist_not_S = list(neg.iter_values(0,12))    # -> [0,1,6,7,8,11,12]\nS_not = IntervalSet.from_items(list_not_s)  # -> (0,1,[6:8],11,12)\n\n### Subset checks (allowing infinities)\nA = IntervalSet.from_string(\"([<:10])\")\nB = IntervalSet.from_string(\"([<:20])\")\nassert A <= B and A < B\n\n### Equality\nA = IntervalSet.from_string(\"([1:4])\")\nB = IntervalSet.from_string(\"([3:6])\")\nlhs = A ^ B\nrhs = (A | B) - (A & B)\nassert lhs == rhs\n\n### Serialization/deserialization\ns = \"([4:5],10,15,20,[22:25],[28:29])\"\niv_set = IntervalSet.from_string(s)\nassert iv_set.to_string() == s\n\n\n## Performance notes\n- Operations are linear in the number of stored runs (`r`), not in the number of elements.\n- Union/intersection/difference/symmetric-difference: O(A.r + B.r)\n- Membership test: O(log r) via binary search on starts.\n- Memory scales with the number of runs, not elements.\n\n## License\nMIT. See LICENSE\n\n## Changelog\nSee CHANGELOG.md. Current release: 0.1.0\n",
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