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Either

funstruct.monad.either

Either monad — typed error handling.

Either[E, A] = Right(a) | Left(e). Right-biased.

Examples:

>>> from funstruct.monad.either import Either, Right, Left
>>> Right(10).map(lambda x: x + 1)
Right(11)
>>> Left("err").map(lambda x: x + 1)
Left('err')
>>> Right(10).bind(lambda x: Right(x * 2))
Right(20)
>>> Left("err").bind(lambda x: Right(x * 2))
Left('err')

handle_error_with — recover from Left:

>>> Left("err").handle_error_with(lambda e: Right("default"))
Right('default')
>>> Right(10).handle_error_with(lambda e: Right("default"))
Right(10)

do-notation:

>>> def pipeline():
...     x = yield Right(1)
...     y = yield Right(x + 10)
...     return x + y
>>> Either.do(pipeline)()
Right(12)

Either

Bases: DataType, Generic[E, A]

Either[E, A]: Right(value) or Left(error).

Right-biased monad. bind/map/>> operate on the Right value and short-circuit on Left.

Source code in funstruct/monad/either/__init__.py
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class Either(DataType, Generic[E, A]):
    """Either[E, A]: Right(value) or Left(error).

    Right-biased monad. bind/map/>> operate on the Right value
    and short-circuit on Left.
    """

    @classmethod
    def pure(cls, value: A) -> Either[E, A]:
        return Right(value)

    @classmethod
    def raise_error(cls, error: E) -> Either[E, A]:
        return Left(error)

    @classmethod
    def do(cls, gen_fn: Callable) -> Callable[..., Either]:
        """Do-notation. Short-circuits on Left. Returns a callable.

        # TODO: do-notation is ~2x slower than raw bind chains due to generator
        # protocol overhead. Consider optimizing the generator loop or providing
        # a bind-chain builder as an alternative for performance-sensitive code.

        >>> def pipeline():
        ...     x = yield Right(1)
        ...     y = yield Right(x + 10)
        ...     return x + y
        >>> Either.do(pipeline)()
        Right(12)
        """

        def _thunk(*args, **kwargs):
            gen = gen_fn(*args, **kwargs)
            try:
                monadic_val = next(gen)
                while True:
                    match monadic_val:
                        case Left():
                            return monadic_val
                        case Right(value):
                            monadic_val = gen.send(value)
            except StopIteration as e:
                return Right(e.value)

        return _thunk

    @classmethod
    def sequence(cls, eithers: CList[Either[E, A]]) -> Either[E, CList[A]]:
        """CList[Either[E, A]] -> Either[E, CList[A]]."""
        from funstruct.collections.cons import Cons, Nil
        from funstruct.util.tailrec import tail_call, tco

        @tco
        def _go(remaining, acc):
            match remaining:
                case Nil():
                    return Right(acc.reversed())
                case Cons(head, tail):
                    match head:
                        case Left():
                            return head
                        case Right(v):
                            return tail_call(_go)(tail, Cons(v, acc))

        return _go(eithers, Nil())

    @classmethod
    def traverse(cls, values, f: Callable[[A], Either[E, B]]) -> Either:
        return cls.sequence(values.map(f))

    @property
    def is_right(self) -> bool:
        return False

    @property
    def is_left(self) -> bool:
        return not self.is_right

do(gen_fn) classmethod

Do-notation. Short-circuits on Left. Returns a callable.

TODO: do-notation is ~2x slower than raw bind chains due to generator
protocol overhead. Consider optimizing the generator loop or providing
a bind-chain builder as an alternative for performance-sensitive code.

def pipeline(): ... x = yield Right(1) ... y = yield Right(x + 10) ... return x + y Either.do(pipeline)() Right(12)

Source code in funstruct/monad/either/__init__.py
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@classmethod
def do(cls, gen_fn: Callable) -> Callable[..., Either]:
    """Do-notation. Short-circuits on Left. Returns a callable.

    # TODO: do-notation is ~2x slower than raw bind chains due to generator
    # protocol overhead. Consider optimizing the generator loop or providing
    # a bind-chain builder as an alternative for performance-sensitive code.

    >>> def pipeline():
    ...     x = yield Right(1)
    ...     y = yield Right(x + 10)
    ...     return x + y
    >>> Either.do(pipeline)()
    Right(12)
    """

    def _thunk(*args, **kwargs):
        gen = gen_fn(*args, **kwargs)
        try:
            monadic_val = next(gen)
            while True:
                match monadic_val:
                    case Left():
                        return monadic_val
                    case Right(value):
                        monadic_val = gen.send(value)
        except StopIteration as e:
            return Right(e.value)

    return _thunk

sequence(eithers) classmethod

CList[Either[E, A]] -> Either[E, CList[A]].

Source code in funstruct/monad/either/__init__.py
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@classmethod
def sequence(cls, eithers: CList[Either[E, A]]) -> Either[E, CList[A]]:
    """CList[Either[E, A]] -> Either[E, CList[A]]."""
    from funstruct.collections.cons import Cons, Nil
    from funstruct.util.tailrec import tail_call, tco

    @tco
    def _go(remaining, acc):
        match remaining:
            case Nil():
                return Right(acc.reversed())
            case Cons(head, tail):
                match head:
                    case Left():
                        return head
                    case Right(v):
                        return tail_call(_go)(tail, Cons(v, acc))

    return _go(eithers, Nil())

Right dataclass

Bases: Either[E, A]

Success case.

Source code in funstruct/monad/either/__init__.py
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@dataclass(frozen=True, eq=False)
class Right(Either[E, A]):
    """Success case."""

    value: A

    @property
    def is_right(self) -> bool:
        return True

    def bind(self, f: Callable[[A], Either[E, B]]) -> Either[E, B]:
        return f(self.value)

    def left_map(self, f: Callable[[E], E]) -> Either[E, A]:
        return self

    def handle_error_with(self, f: Callable[[E], Either]) -> Either[E, A]:
        return self

    def bimap(self, on_left: Callable[[E], E], on_right: Callable[[A], B]) -> Either:
        return Right(on_right(self.value))

    def get_or_else(self, default: A) -> A:
        return self.value

    def fold(self, on_left: Callable[[E], C], on_right: Callable[[A], C]) -> C:
        return on_right(self.value)

    def swap(self) -> Either[A, E]:
        return Left(self.value)

    def __eq__(self, other: object) -> bool:
        match other:
            case Right(val):
                return self.value == val
            case _:
                return False

    def __repr__(self) -> str:
        return f"Right({repr(self.value)})"

Left dataclass

Bases: CapturesCreationSiteMixin, Either[E, A]

Error case. Captures creation site automatically.

Source code in funstruct/monad/either/__init__.py
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@dataclass(frozen=True, eq=False)
class Left(CapturesCreationSiteMixin, Either[E, A]):
    """Error case. Captures creation site automatically."""

    error: E

    @property
    def is_right(self) -> bool:
        return False

    def bind(self, f: Callable[[A], Either[E, B]]) -> Either[E, B]:
        return self

    def left_map(self, f: Callable[[E], E]) -> Either[E, A]:
        """>>> Left("oops").left_map(lambda e: e.upper())
        Left('OOPS')
        """
        return Left(f(self.error))

    def handle_error_with(self, f: Callable[[E], Either]) -> Either:
        """>>> Left("oops").handle_error_with(lambda e: Right(f"recovered: {e}"))
        Right('recovered: oops')
        """
        return f(self.error)

    def bimap(self, on_left: Callable[[E], E], on_right: Callable[[A], B]) -> Either:
        return Left(on_left(self.error))

    def get_or_else(self, default: A) -> A:
        return default

    def fold(self, on_left: Callable[[E], C], on_right: Callable[[A], C]) -> C:
        return on_left(self.error)

    def swap(self) -> Either[A, E]:
        return Right(self.error)

    def __eq__(self, other: object) -> bool:
        match other:
            case Left(err):
                return self.error == err
            case _:
                return False

    def __repr__(self) -> str:
        return f"Left({repr(self.error)})"

left_map(f)

Left("oops").left_map(lambda e: e.upper()) Left('OOPS')

Source code in funstruct/monad/either/__init__.py
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def left_map(self, f: Callable[[E], E]) -> Either[E, A]:
    """>>> Left("oops").left_map(lambda e: e.upper())
    Left('OOPS')
    """
    return Left(f(self.error))

handle_error_with(f)

Left("oops").handle_error_with(lambda e: Right(f"recovered: {e}")) Right('recovered: oops')

Source code in funstruct/monad/either/__init__.py
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def handle_error_with(self, f: Callable[[E], Either]) -> Either:
    """>>> Left("oops").handle_error_with(lambda e: Right(f"recovered: {e}"))
    Right('recovered: oops')
    """
    return f(self.error)