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The constraint representation that we added in #19997 was subtly wrong, in that it didn't correctly model that type assignability is a _partial_ order — it's possible for two types to be incomparable, with neither a subtype of the other. That means the negation of a constraint like `T ≤ t` (typevar `T` must be a subtype of `t`) is **_not_** `t < T`, but rather `t < T ∨ T ≁ t` (using ≁ to mean "not comparable to"). That means we need to update our constraint representation to be an enum, so that we can track both _range_ constraints (upper/lower bound on the typevar), and these new _incomparable_ constraints. Since we need an enum now, that also lets us simplify how we were modeling range constraints. Before, we let the lower/upper bounds be either open (<) or closed (≤). Now, range constraints are always closed, and we add a third kind of constraint for _not equivalent_ (≠). We can translate an open upper bound `T < t` into `T ≤ t ∧ T ≠ t`. We already had the logic for doing adding _clauses_ to a _set_ by doing a pairwise simplification. We copy that over to where we add _constraints_ to a _clause_. To calculate the intersection or union of two constraints, the new enum representation makes it easy to break down all of the possibilities into a small number of cases: intersect range with range, intersect range with not-equivalent, etc. I've done the math [here](https://dcreager.net/theory/constraints/) to show that the simplifications for each of these cases is correct. |
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| .. | ||
| ruff | ||
| ruff_annotate_snippets | ||
| ruff_benchmark | ||
| ruff_cache | ||
| ruff_db | ||
| ruff_dev | ||
| ruff_diagnostics | ||
| ruff_formatter | ||
| ruff_graph | ||
| ruff_index | ||
| ruff_linter | ||
| ruff_macros | ||
| ruff_memory_usage | ||
| ruff_notebook | ||
| ruff_options_metadata | ||
| ruff_python_ast | ||
| ruff_python_ast_integration_tests | ||
| ruff_python_codegen | ||
| ruff_python_formatter | ||
| ruff_python_index | ||
| ruff_python_literal | ||
| ruff_python_parser | ||
| ruff_python_semantic | ||
| ruff_python_stdlib | ||
| ruff_python_trivia | ||
| ruff_python_trivia_integration_tests | ||
| ruff_server | ||
| ruff_source_file | ||
| ruff_text_size | ||
| ruff_wasm | ||
| ruff_workspace | ||
| ty | ||
| ty_combine | ||
| ty_ide | ||
| ty_project | ||
| ty_python_semantic | ||
| ty_server | ||
| ty_static | ||
| ty_test | ||
| ty_vendored | ||
| ty_wasm | ||