IsomorphismNondeterminism
Related Doc:
package scalaz
Nondeterministically sequence fs, collecting the results using a Monoid.
Nondeterministically sequence fs, collecting the results using a Monoid.
Nondeterministically sequence fs, collecting the results using
a commutative Monoid.
Nondeterministically sequence fs, collecting the results using
a commutative Monoid.
Sequence f, then fa, combining their results by function
application.
Sequence f, then fa, combining their results by function
application.
NB: with respect to apply2 and all other combinators, as well
as scalaz.Bind, the f action appears to the *left*. So
f should be the "first" F-action to perform. This is in
accordance with all other implementations of this typeclass in
common use, which are "function first".
Flipped variant of ap.
Flipped variant of ap.
Alias for map.
Alias for map.
Add a unit to any Apply to form an Applicative.
Add a unit to any Apply to form an Applicative.
The composition of Functor F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor
The composition of Functor F and Bifunctor G, [x, y]F[G[x, y]], is a Bifunctor
Equivalent to join(map(fa)(f)).
Equivalent to join(map(fa)(f)).
Obtain results from both a and b, nondeterministically ordering
their effects.
Obtain results from both a and b, nondeterministically ordering
their effects.
A commutative operation which chooses nondeterministically to obtain
a value from either a or b.
A commutative operation which chooses nondeterministically to obtain
a value from either a or b. If a 'wins', a 'residual' context
for b is returned; if b wins, a residual context for a is
returned. The residual is useful for various instances like Future,
which may race the two computations and require a residual to ensure
the result of the 'losing' computation is not discarded.
This function can be defined in terms of chooseAny or vice versa.
The default implementation calls chooseAny with a
two-element list and uses the Functor for F to fix up types.
A commutative operation which chooses nondeterministically to obtain
a value from any of the elements of as.
A commutative operation which chooses nondeterministically to obtain
a value from any of the elements of as. In the language of posets, this
constructs an antichain (a set of elements which are all incomparable) in
the effect poset for this computation.
None, if the input is empty.
The composition of Applicatives F and G, [x]F[G[x]], is an Applicative
The composition of Applicatives F and G, [x]F[G[x]], is an Applicative
The composition of Applys F and G, [x]F[G[x]], is a Apply
The composition of Applys F and G, [x]F[G[x]], is a Apply
The composition of Functors F and G, [x]F[G[x]], is a Functor
The composition of Functors F and G, [x]F[G[x]], is a Functor
Combine fa and fb according to Apply[F] with a function that discards the A(s)
Combine fa and fb according to Apply[F] with a function that discards the A(s)
Combine fa and fb according to Apply[F] with a function that discards the B(s)
Combine fa and fb according to Apply[F] with a function that discards the B(s)
Filter l according to an applicative predicate.
Filter l according to an applicative predicate.
Filter l according to an applicative predicate.
Filter l according to an applicative predicate.
An Applicative for F in which effects happen in the opposite order.
An Applicative for F in which effects happen in the opposite order.
Repeats an applicative action infinitely
Repeats an applicative action infinitely
Twin all As in fa.
Twin all As in fa.
Pair all As in fa with the result of function application.
Pair all As in fa with the result of function application.
Nondeterministically gather results from the given sequence of actions.
Nondeterministically gather results from the given sequence of actions.
This function is the nondeterministic analogue of sequence and should
behave identically to sequence so long as there is no interaction between
the effects being gathered. However, unlike sequence, which decides on
a total order of effects, the effects in a gather are unordered with
respect to each other.
Although the effects are unordered, we ensure the order of results
matches the order of the input sequence. Also see gatherUnordered.
Nondeterministically gather results from the given sequence of actions to a list.
Nondeterministically gather results from the given sequence of actions
to a list. Same as calling reduceUnordered with the List Monoid.
To preserve the order of the output list while allowing nondetermininstic
ordering of effects, use gather.
The composition of Functor F and Contravariant G, [x]F[G[x]],
is contravariant.
The composition of Functor F and Contravariant G, [x]F[G[x]],
is contravariant.
if lifted into a binding.
if lifted into a binding. Unlike lift3((t,c,a)=>if(t)c else
a), this will only include context from the chosen of ifTrue
and ifFalse, not the other.
Execute an action repeatedly until its result satisfies the given predicate and return that result, discarding all others.
Execute an action repeatedly until its result satisfies the given predicate and return that result, discarding all others.
Execute an action repeatedly until its result fails to satisfy the given predicate and return that result, discarding all others.
Execute an action repeatedly until its result fails to satisfy the given predicate and return that result, discarding all others.
Sequence the inner F of FFA after the outer F, forming a
single F[A].
Sequence the inner F of FFA after the outer F, forming a
single F[A].
Lift f into F.
Lift f into F.
Lift f into F and apply to F[A].
Lift f into F and apply to F[A].
Apply a function to the results of a and b, nondeterminstically
ordering their effects.
Apply a function to the results of a and b, nondeterminstically
ordering their effects.
Lift apply(a), and apply the result to f.
Lift apply(a), and apply the result to f.
Pair A with the result of function application.
Pair A with the result of function application.
Apply a function to 2 results, nondeterminstically ordering their effects, alias of mapBoth
Apply a function to 2 results, nondeterminstically ordering their effects, alias of mapBoth
Apply a function to 3 results, nondeterminstically ordering their effects
Apply a function to 3 results, nondeterminstically ordering their effects
Apply a function to 4 results, nondeterminstically ordering their effects
Apply a function to 4 results, nondeterminstically ordering their effects
Apply a function to 5 results, nondeterminstically ordering their effects
Apply a function to 5 results, nondeterminstically ordering their effects
Apply a function to 6 results, nondeterminstically ordering their effects
Apply a function to 6 results, nondeterminstically ordering their effects
A lawful implementation of this that is isomorphic up to the methods defined on Applicative allowing for optimised parallel implementations that would otherwise violate laws of more specific typeclasses (e.g.
A lawful implementation of this that is isomorphic up to the methods defined on Applicative allowing for optimised parallel implementations that would otherwise violate laws of more specific typeclasses (e.g. Monad).
The product of Monad F and G, [x](F[x], G[x]]), is a Monad
The product of Monad F and G, [x](F[x], G[x]]), is a Monad
The product of Bind F and G, [x](F[x], G[x]]), is a Bind
The product of Bind F and G, [x](F[x], G[x]]), is a Bind
The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative
The product of Applicatives F and G, [x](F[x], G[x]]), is an Applicative
The product of Applys F and G, [x](F[x], G[x]]), is a Apply
The product of Applys F and G, [x](F[x], G[x]]), is a Apply
The product of Functors F and G, [x](F[x], G[x]]), is a Functor
The product of Functors F and G, [x](F[x], G[x]]), is a Functor
Nondeterministically gather results from the given sequence of actions.
Nondeterministically gather results from the given sequence of actions.
The result will be arbitrarily reordered, depending on the order
results come back in a sequence of calls to chooseAny.
Performs the action n times, returning the list of results.
Performs the action n times, returning the list of results.
Performs the action n times, returning nothing.
Performs the action n times, returning nothing.
Inject a to the left of Bs in f.
Inject a to the left of Bs in f.
Inject b to the right of As in f.
Inject b to the right of As in f.
Unfold seed to the right and combine effects left-to-right,
using the given Reducer to combine values.
Returns the given argument if cond is false, otherwise, unit lifted into F.
Returns the given argument if cond is false, otherwise, unit lifted into F.
Execute an action repeatedly until the Boolean condition returns true.
Execute an action repeatedly until the Boolean condition returns true.
The condition is evaluated after the loop body. Collects results into an
arbitrary MonadPlus value, such as a List.
Execute an action repeatedly until the Boolean condition returns true.
Execute an action repeatedly until the Boolean condition returns true.
The condition is evaluated after the loop body. Discards results.
Empty fa of meaningful pure values, preserving its
structure.
Empty fa of meaningful pure values, preserving its
structure.
Returns the given argument if cond is true, otherwise, unit lifted into F.
Returns the given argument if cond is true, otherwise, unit lifted into F.
Execute an action repeatedly as long as the given Boolean expression
returns true.
Execute an action repeatedly as long as the given Boolean expression
returns true. The condition is evalated before the loop body.
Collects the results into an arbitrary MonadPlus value, such as a List.
Execute an action repeatedly as long as the given Boolean expression
returns true.
Execute an action repeatedly as long as the given Boolean expression
returns true. The condition is evaluated before the loop body.
Discards results.
Functors are covariant by nature, so we can treat an F[A] as
an F[B] if A is a subtype of B.
Functors are covariant by nature, so we can treat an F[A] as
an F[B] if A is a subtype of B.
Converts ma to a value of type F[B] using the provided functions f and g.
Converts ma to a value of type F[B] using the provided functions f and g.
Converts ma to a value of type F[B] using the provided bijection.
Converts ma to a value of type F[B] using the provided bijection.
Converts ma to a value of type F[B] using the provided isomorphism.
Converts ma to a value of type F[B] using the provided isomorphism.