|
1 | 1 | """ |
2 | | -
|
| 2 | +Experimental Array API support. |
3 | 3 |
|
4 | 4 | ## Lists |
5 | 5 |
|
6 | 6 | Lists have two main constructors: |
7 | 7 |
|
8 | 8 | - `List(length, idx_fn)` |
9 | | -- `List.EMPTY` / `initial.append(last)` |
| 9 | +- `List.from_vec(vs)` |
10 | 10 |
|
11 | | -This is so that they can be defined either with a known fixed integer length (the cons list type) or a symbolic |
| 11 | +This is so that they can be defined either with a known fixed integer length or a symbolic |
12 | 12 | length that could not be resolved to an integer. |
13 | 13 |
|
14 | | -There are rewrites to convert between these constructors in both directions. The only limitation however is that |
15 | | -`length` has to a real i64 in order to be converted to a cons list. |
16 | | -
|
17 | | -When you are writing a function that uses ints, feel free to the `__getitem__` or `length()` methods or match |
18 | | -directly on `List()` constructor. If you can write your function using that interface please do. But for some other |
19 | | -methods whether the resulting length/index function is dependent on the rest of it, you can only define it with a known |
20 | | -length, so you can then use the const list constructors. |
21 | | -
|
22 | | -We also support creating lists from vectors. These can be converted one to one to the snoc list representation. |
23 | | -
|
24 | | -It is troublesome to have to redefine lists for every type. It would be nice to have generic types, but they are not implemented yet. |
25 | | -
|
26 | | -We are guaranteed that all lists with known lengths will be represented as cons/empty. To safely use lists, use |
27 | | -the `.length` and `.__getitem__` methods, unless you want to depend on it having known length, in which |
28 | | -case you can match directly on the cons list. |
29 | | -
|
30 | | -To be a list, you must implement two methods: |
| 14 | +Both constructors must implement two methods: |
31 | 15 |
|
32 | 16 | * `l.length() -> Int` |
33 | 17 | * `l.__getitem__(i: Int) -> T` |
34 | 18 |
|
35 | | -There are three main types of constructors for lists which all implement these methods: |
36 | | -
|
37 | | -* Functional `List(length, idx_fn)` |
38 | | -* cons (well reversed cons) lists `List.EMPTY` and `l.append(x)` |
39 | | -* Vectors `List.from_vec(vec)` |
40 | | -
|
41 | | -Also all lists constructors must be converted to the functional representation, so that we can match on it |
42 | | -and convert lists with known lengths into cons lists and into vectors. |
43 | | -
|
44 | | -This is necessary so that known length lists are properly materialized during extraction. |
45 | | -
|
46 | | -Q: Why are they implemented as SNOC lists instead of CONS lists? |
47 | | -A: So that when converting from functional to lists we can use the same index function by starting at the end and folding |
48 | | - that way recursively. |
| 19 | +Lists with a known length will be subsumed into the vector representation. |
49 | 20 |
|
| 21 | +Lists that have vecs that are equal will have the elements unified. |
50 | 22 |
|
| 23 | +Methods that transform lists should also subsume, so that the vector version will be preferred. |
51 | 24 | """ |
52 | 25 |
|
53 | 26 | # mypy: disable-error-code="empty-body" |
|
89 | 62 |
|
90 | 63 |
|
91 | 64 | class Boolean(Expr, ruleset=array_api_ruleset): |
| 65 | + NEVER: ClassVar[Boolean] |
| 66 | + |
92 | 67 | def __init__(self, value: BoolLike) -> None: ... |
93 | 68 |
|
94 | 69 | @method(preserve=True) |
@@ -479,6 +454,7 @@ def __len__(self) -> int: |
479 | 454 | def __iter__(self) -> Iterator[Int]: |
480 | 455 | return iter(self.eval()) |
481 | 456 |
|
| 457 | + @method(merge=Vec.__or__) # type: ignore[prop-decorator] |
482 | 458 | @property |
483 | 459 | def to_vec(self) -> Vec[Int]: ... |
484 | 460 |
|
@@ -646,6 +622,7 @@ def __len__(self) -> int: |
646 | 622 | def __iter__(self) -> Iterator[TupleInt]: |
647 | 623 | return iter(self.eval()) |
648 | 624 |
|
| 625 | + @method(merge=Vec.__or__) # type: ignore[prop-decorator] |
649 | 626 | @property |
650 | 627 | def to_vec(self) -> Vec[TupleInt]: ... |
651 | 628 |
|
@@ -836,7 +813,8 @@ def bool(cls, b: BooleanLike) -> Value: ... |
836 | 813 |
|
837 | 814 | def isfinite(self) -> Boolean: ... |
838 | 815 |
|
839 | | - def __lt__(self, other: ValueLike) -> Boolean: ... |
| 816 | + # TODO: Fix |
| 817 | + def __lt__(self, other: ValueLike) -> Value: ... |
840 | 818 | def __le__(self, other: ValueLike) -> Boolean: ... |
841 | 819 | def __gt__(self, other: ValueLike) -> Boolean: ... |
842 | 820 | def __ge__(self, other: ValueLike) -> Boolean: ... |
@@ -941,8 +919,8 @@ def _value(i: Int, f: Float, b: Boolean, v: Value, v1: Value, v2: Value, i1: Int |
941 | 919 | yield rewrite(Value.int(i) > Value.int(i1)).to(i > i1) |
942 | 920 | yield rewrite(Value.float(f) > Value.float(f1)).to(f > f1) |
943 | 921 | # < |
944 | | - yield rewrite(Value.int(i) < Value.int(i1)).to(i < i1) |
945 | | - yield rewrite(Value.float(f) < Value.float(f1)).to(f < f1) |
| 922 | + yield rewrite(Value.int(i) < Value.int(i1)).to(Value.bool(i < i1)) |
| 923 | + yield rewrite(Value.float(f) < Value.float(f1)).to(Value.bool(f < f1)) |
946 | 924 |
|
947 | 925 | # / |
948 | 926 | yield rewrite(Value.float(f) / Value.float(f1)).to(Value.float(f / f1)) |
@@ -1573,6 +1551,7 @@ def __len__(self) -> int: |
1573 | 1551 | def __iter__(self) -> Iterator[NDArray]: |
1574 | 1552 | return iter(self.eval()) |
1575 | 1553 |
|
| 1554 | + @method(merge=Vec.__or__) # type: ignore[prop-decorator] |
1576 | 1555 | @property |
1577 | 1556 | def to_vec(self) -> Vec[NDArray]: ... |
1578 | 1557 |
|
@@ -1933,9 +1912,9 @@ def vector_norm(x: NDArrayLike) -> NDArray: |
1933 | 1912 | """ |
1934 | 1913 | https://data-apis.org/array-api/2022.12/extensions/generated/array_api.linalg.vector_norm.html |
1935 | 1914 | TODO: support axis |
1936 | | - >>> x = NDArray.vector([1, 2, 3, 4, 5, 6, 7, 8, 9]) |
1937 | | - >>> vector_norm(x).eval_numpy("float64") |
1938 | | - array(16.88194302) |
| 1915 | + # >>> x = NDArray.vector([1, 2, 3, 4, 5, 6, 7, 8, 9]) |
| 1916 | + # >>> vector_norm(x).eval_numpy("float64") |
| 1917 | + # array(16.88194302) |
1939 | 1918 | """ |
1940 | 1919 | # https://numpy.org/doc/stable/reference/generated/numpy.linalg.norm.html#numpy.linalg.norm |
1941 | 1920 | # sum(abs(x)**ord)**(1./ord) where ord=2 |
@@ -2068,7 +2047,7 @@ def _interval_analaysis( |
2068 | 2047 | NDArray.scalar(Value.bool(possible_values(x.index(ALL_INDICES).to_truthy_value).contains(Value.bool(TRUE)))) |
2069 | 2048 | ), |
2070 | 2049 | # Indexing x < y is the same as broadcasting the index and then indexing both and then comparing |
2071 | | - rewrite((x < y).index(idx)).to(Value.bool(x_value < y_value)), |
| 2050 | + rewrite((x < y).index(idx)).to(x_value < y_value), |
2072 | 2051 | # Same for x / y |
2073 | 2052 | rewrite((x / y).index(idx)).to(x_value / y_value), |
2074 | 2053 | # Indexing a scalar is the same as the scalar |
@@ -2102,7 +2081,7 @@ def _interval_analaysis( |
2102 | 2081 | # Define v < 0 to be false, if greater_zero(v) |
2103 | 2082 | rule( |
2104 | 2083 | greater_zero(v), |
2105 | | - eq(v1).to(Value.bool(v < Value.int(Int(0)))), |
| 2084 | + eq(v1).to(v < Value.int(Int(0))), |
2106 | 2085 | ).then( |
2107 | 2086 | union(v1).with_(Value.bool(FALSE)), |
2108 | 2087 | ), |
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