import pytest # type: ignore from typing import Any, Callable, List, TypeVar from monads import Functor, Applicative, Future from monads.reader import curry T = TypeVar("T") S = TypeVar("S") @pytest.mark.asyncio async def test_types() -> None: m: Future[int] = Future.pure(1) await m map: Future[int] = Future.pure(1).map(lambda x: x) await map map_operator: Future[int] = Future.pure(1) * (lambda x: x) await map_operator bind: Future[int] = Future.pure(1).bind(lambda x: Future.pure(x)) await bind bind_operator: Future[int] = Future.pure(1) >> (lambda x: Future.pure(x)) await bind_operator apply: Future[int] = Future.pure(1).apply(Future.pure(lambda x: x)) await apply apply_operator: Future[int] = Future.pure(lambda x: x) & Future.pure(1) await apply_operator sequence: Future[List[int]] = Future.sequence([Future.pure(1)]) await sequence @pytest.mark.asyncio async def test_functor_identity() -> None: identity: Callable[[int], int] = lambda x: x assert await Future.pure(3) == await Future.pure(3).map(identity) @pytest.mark.asyncio async def test_functor_associativity() -> None: f: Callable[[int], int] = lambda x: x + 1 g: Callable[[int], str] = lambda x: str(x) assert await Future.pure(3).map(lambda x: g(f(x))) == await Future.pure(3).map( f ).map(g) @pytest.mark.asyncio async def test_functor_map_mul_operator() -> None: identity: Callable[[int], int] = lambda x: x assert await Future.pure(3).map(identity) == await (Future.pure(3) * identity) @pytest.mark.asyncio async def test_functor_map_rmul_operator() -> None: identity: Callable[[int], int] = lambda x: x assert await Future.pure(3).map(identity) == await (identity * Future.pure(3)) @pytest.mark.asyncio async def test_applicative_fmap_using_ap() -> None: f: Callable[[int], int] = lambda x: x + 1 assert await Future.pure(3).map(f) == await Future.pure(3).apply(Future.pure(f)) @pytest.mark.asyncio async def test_monad_bind() -> None: expected: Future[int] = Future.pure(2) m: Future[int] = Future.pure(1) assert await expected == await m.bind(lambda x: Future.pure(x + 1)) @pytest.mark.asyncio async def test_monad_bind_rshift_operator() -> None: f: Callable[[int], Future[int]] = lambda x: Future.pure(x + 1) assert await Future.pure(2).bind(f) == await (Future.pure(2) >> f) @pytest.mark.asyncio async def test_monad_left_identity() -> None: n: int = 3 def f(n: int) -> Future[int]: return Future.pure(n * 3) m: Future[int] = Future.pure(n) assert await m.bind(f) == await f(n) @pytest.mark.asyncio async def test_monad_right_identity() -> None: assert await Future.pure(3) == await Future.pure(3).bind(lambda x: Future.pure(x)) @pytest.mark.asyncio async def test_monad_associativity() -> None: def f(n: int) -> Future[int]: return Future.pure(n * 3) def g(n: int) -> Future[int]: return Future.pure(n + 5) assert await Future.pure(3).bind(f).bind(g) == await Future.pure(3).bind( lambda x: f(x).bind(g) )