import pytest # type: ignore from typing import Any, Callable, TypeVar from monads import Functor, Applicative, Reader from monads.reader import curry T = TypeVar("T") S = TypeVar("S") def test_functor_identity() -> None: m: Reader = Reader.pure(3) identity: Callable[[T], T] = lambda x: x assert m(0) == m.map(identity)(0) def test_functor_associativity() -> None: f: Callable[[int], int] = lambda x: x + 1 g: Callable[[int], str] = lambda x: str(x) m: Reader[int, int] = Reader.pure(3) assert m.map(lambda x: g(f(x)))(0) == m.map(f).map(g)(0) def test_functor_map_mul_operator() -> None: m: Reader = Reader.pure(3) identity: Callable[[T], T] = lambda x: x assert m.map(identity)(0) == (m * identity)(0) def test_functor_map_rmul_operator() -> None: m: Reader = Reader.pure(3) identity: Callable[[T], T] = lambda x: x assert m.map(identity)(0) == (identity * m)(0) def test_applicative_fmap_using_ap() -> None: f: Callable[[int], int] = lambda x: x + 1 m: Reader[int, int] = Reader.pure(3) assert m.map(f)(0) == m.apply(Reader.pure(f))(0) def test_monad_bind() -> None: expected: Reader[int, int] = Reader.pure(2) m: Reader[int, int] = Reader.pure(1) assert expected(0) == m.bind(lambda x: Reader.pure(x + 1))(0) def test_monad_bind_rshift_operator() -> None: m: Reader[int, int] = Reader.pure(2) f: Callable[[int], Reader[int, int]] = lambda x: Reader.pure(x + 1) assert m.bind(f)(0) == (m >> f)(0) def test_monad_left_identity() -> None: n: int = 3 def f(n: int) -> Reader[int, int]: return Reader.pure(n * 3) m: Reader[int, int] = Reader.pure(n) assert m.bind(f)(0) == f(n)(0) def test_monad_right_identity() -> None: m: Reader[int, int] = Reader.pure(3) assert m(0) == m.bind(lambda x: Reader.pure(x))(0) def test_monad_associativity() -> None: m: Reader[int, int] = Reader.pure(3) def f(n: int) -> Reader[int, int]: return Reader.pure(n * 3) def g(n: int) -> Reader[int, int]: return Reader.pure(n + 5) assert m.bind(f).bind(g)(0) == m.bind(lambda x: f(x).bind(g))(0) def test_curry() -> None: def add3(a, b, c): return a + b + c assert add3(1, 2, 3) == curry(add3)(1)(2)(3) def test_call_curried_function_with_multiple_arguments() -> None: @curry def add3(a, b, c): return a + b + c assert add3(1, 2)(3) == add3(1, 2, 3)