{-# OPTIONS_GHC -fno-warn-orphans #-}

module Pandora.Paradigm.Structure.Stack where

import Pandora.Core.Functor (type (:.), type (:=))
import Pandora.Pattern ((.|..))
import Pandora.Pattern.Category ((.), ($), identity)
import Pandora.Pattern.Functor.Covariant (Covariant ((<$>)))
import Pandora.Pattern.Functor.Alternative ((<+>))
import Pandora.Pattern.Functor.Pointable (point)
import Pandora.Pattern.Functor.Extractable (extract)
import Pandora.Pattern.Functor.Avoidable (empty)
import Pandora.Pattern.Functor.Traversable (Traversable)
import Pandora.Pattern.Functor.Extendable (Extendable ((=>>)))
import Pandora.Pattern.Transformer.Liftable (lift)
import Pandora.Pattern.Object.Setoid (Setoid ((==)))
import Pandora.Pattern.Object.Semigroup (Semigroup ((+)))
import Pandora.Pattern.Object.Monoid (Monoid (zero))
import Pandora.Paradigm.Primary.Object.Boolean (Boolean (True, False), (?))
import Pandora.Paradigm.Primary.Object.Numerator (Numerator (Numerator))
import Pandora.Paradigm.Primary.Object.Denumerator (Denumerator (One))
import Pandora.Paradigm.Primary.Functor.Function ((%), (&))
import Pandora.Paradigm.Primary.Functor.Maybe (Maybe (Just, Nothing))
import Pandora.Paradigm.Primary.Functor.Predicate (Predicate (Predicate))
import Pandora.Paradigm.Primary.Functor.Product (Product ((:*:)), type (:*:))
import Pandora.Paradigm.Primary.Functor.Tagged (Tagged (Tag))
import Pandora.Paradigm.Primary.Functor.Wye (Wye (Left, Right))
import Pandora.Paradigm.Primary.Transformer.Construction (Construction (Construct), deconstruct, (.-+))
import Pandora.Paradigm.Primary.Transformer.Tap (Tap (Tap))
import Pandora.Paradigm.Inventory.State (State, fold)
import Pandora.Paradigm.Inventory.Store (Store (Store))
import Pandora.Paradigm.Inventory.Optics (view)
import Pandora.Paradigm.Controlflow.Effect.Interpreted (run)
import Pandora.Paradigm.Schemes.TU (TU (TU), type (<:.>))
import Pandora.Paradigm.Schemes.T_U (T_U (T_U), type (<:.:>))
import Pandora.Paradigm.Structure.Ability.Nonempty (Nonempty)
import Pandora.Paradigm.Structure.Ability.Nullable (Nullable (null))
import Pandora.Paradigm.Structure.Ability.Zipper (Zipper)
import Pandora.Paradigm.Structure.Ability.Focusable (Focusable (Focusing, focusing), Location (Head), focus)
import Pandora.Paradigm.Structure.Ability.Deletable (Deletable (delete))
import Pandora.Paradigm.Structure.Ability.Insertable (Insertable (insert))
import Pandora.Paradigm.Structure.Ability.Measurable (Measurable (Measural, measurement), Scale (Length), measure)
import Pandora.Paradigm.Structure.Ability.Monotonic (Monotonic (reduce))
import Pandora.Paradigm.Structure.Ability.Morphable (Morphable (Morphing, morphing), Morph (Rotate), morph)
import Pandora.Paradigm.Structure.Ability.Substructure (Substructure (Substructural, substructure), Segment (Tail), sub, subview)

-- | Linear data structure that serves as a collection of elements
type Stack = Maybe <:.> Construction Maybe

instance Setoid a => Setoid (Stack a) where
	TU (Maybe :. Construction Maybe) := a
ls == :: Stack a -> Stack a -> Boolean
== TU (Maybe :. Construction Maybe) := a
rs = (Maybe :. Construction Maybe) := a
ls ((Maybe :. Construction Maybe) := a)
-> ((Maybe :. Construction Maybe) := a) -> Boolean
forall a. Setoid a => a -> a -> Boolean
== (Maybe :. Construction Maybe) := a
rs

instance Semigroup (Stack a) where
	TU Maybe (Construction Maybe a)
Nothing + :: Stack a -> Stack a -> Stack a
+ TU Maybe (Construction Maybe a)
ys = Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU Maybe (Construction Maybe a)
ys
	TU (Just (Construct a
x Maybe (Construction Maybe a)
xs)) + TU Maybe (Construction Maybe a)
ys = Construction Maybe a -> Stack a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (Construction Maybe a -> Stack a)
-> (Stack a -> Construction Maybe a) -> Stack a -> Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> Maybe (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (Maybe (Construction Maybe a) -> Construction Maybe a)
-> (Stack a -> Maybe (Construction Maybe a))
-> Stack a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Stack a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run
		(Stack a -> Stack a) -> Stack a -> Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU @Covariant @Covariant Maybe (Construction Maybe a)
xs Stack a -> Stack a -> Stack a
forall a. Semigroup a => a -> a -> a
+ Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU @Covariant @Covariant Maybe (Construction Maybe a)
ys

instance Monoid (Stack a) where
	zero :: Stack a
zero = Stack a
forall (t :: * -> *) a. Avoidable t => t a
empty

instance Focusable Head Stack where
	type Focusing Head Stack a = Maybe a
	focusing :: Tagged 'Head (Stack a) :-. Focusing 'Head Stack a
focusing (Stack a <:= Tagged 'Head
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> Stack a
stack) = (((:*:) (Maybe a) :. (->) (Maybe a)) := Tagged 'Head (Stack a))
-> Store (Maybe a) (Tagged 'Head (Stack a))
forall s a. (((:*:) s :. (->) s) := a) -> Store s a
Store ((((:*:) (Maybe a) :. (->) (Maybe a)) := Tagged 'Head (Stack a))
 -> Store (Maybe a) (Tagged 'Head (Stack a)))
-> (((:*:) (Maybe a) :. (->) (Maybe a)) := Tagged 'Head (Stack a))
-> Store (Maybe a) (Tagged 'Head (Stack a))
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a <:= Construction Maybe
forall (t :: * -> *) a. Extractable t => a <:= t
extract (a <:= Construction Maybe)
-> Maybe (Construction Maybe a) -> Maybe a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Stack a -> Primary Stack a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run Stack a
stack Maybe a
-> (Maybe a -> Tagged 'Head (Stack a))
-> ((:*:) (Maybe a) :. (->) (Maybe a)) := Tagged 'Head (Stack a)
forall s a. s -> a -> Product s a
:*: \case
		Just a
x -> Stack a
stack Stack a -> (Stack a -> Stack a) -> Stack a
forall a b. a -> (a -> b) -> b
& forall k (f :: k) (t :: * -> *).
Substructure f t =>
t ~> Substructural f t
forall (t :: * -> *).
Substructure 'Tail t =>
t ~> Substructural 'Tail t
subview @Tail Stack a -> (Stack a -> Stack a) -> Stack a
forall a b. a -> (a -> b) -> b
& a -> Stack a -> Stack a
forall (t :: * -> *) a. Insertable t => a -> t a -> t a
insert a
x Stack a
-> (Stack a -> Tagged 'Head (Stack a)) -> Tagged 'Head (Stack a)
forall a b. a -> (a -> b) -> b
& Stack a -> Tagged 'Head (Stack a)
forall k (tag :: k) a. a -> Tagged tag a
Tag
		Maybe a
Nothing -> Stack a
stack Stack a -> (Stack a -> Stack a) -> Stack a
forall a b. a -> (a -> b) -> b
& forall k (f :: k) (t :: * -> *).
Substructure f t =>
t ~> Substructural f t
forall (t :: * -> *).
Substructure 'Tail t =>
t ~> Substructural 'Tail t
subview @Tail Stack a
-> (Stack a -> Tagged 'Head (Stack a)) -> Tagged 'Head (Stack a)
forall a b. a -> (a -> b) -> b
& Stack a -> Tagged 'Head (Stack a)
forall k (tag :: k) a. a -> Tagged tag a
Tag

instance Insertable Stack where
	insert :: a -> Stack a -> Stack a
insert a
x (Stack a -> Primary Stack a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Primary Stack a
stack) = ((Maybe :. Construction Maybe) := a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU (((Maybe :. Construction Maybe) := a) -> Stack a)
-> ((Maybe :. Construction Maybe) := a) -> Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ (a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (((Maybe :. Construction Maybe) := a) -> Construction Maybe a)
-> (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> Construction Maybe a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall a. a -> Maybe a
Just (Construction Maybe a -> Construction Maybe a)
-> ((Maybe :. Construction Maybe) := a)
-> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Primary Stack a
(Maybe :. Construction Maybe) := a
stack) ((Maybe :. Construction Maybe) := a)
-> ((Maybe :. Construction Maybe) := a)
-> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a. Alternative t => t a -> t a -> t a
<+> (Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a. Pointable t => a :=> t
point (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> (a -> Construction Maybe a)
-> a
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> Construction Maybe a
forall (t :: * -> *) a. Pointable t => a :=> t
point) a
x

instance Measurable Length Stack where
	type Measural Length Stack a = Numerator
	measurement :: Tagged 'Length (Stack a) -> Measural 'Length Stack a
measurement (Stack a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run (Stack a -> Maybe (Construction Maybe a))
-> (Tagged 'Length (Stack a) -> Stack a)
-> Tagged 'Length (Stack a)
-> Maybe (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Tagged 'Length (Stack a) -> Stack a
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> Maybe (Construction Maybe a)
Nothing) = Measural 'Length Stack a
forall a. Monoid a => a
zero
	measurement (Stack a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run (Stack a -> Maybe (Construction Maybe a))
-> (Tagged 'Length (Stack a) -> Stack a)
-> Tagged 'Length (Stack a)
-> Maybe (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Tagged 'Length (Stack a) -> Stack a
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> Just Construction Maybe a
xs) = Denumerator -> Numerator
Numerator (Denumerator -> Numerator) -> Denumerator -> Numerator
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Construction Maybe a -> Measural 'Length (Construction Maybe) a
forall k (f :: k) (t :: * -> *) a.
Measurable f t =>
t a -> Measural f t a
measure @Length Construction Maybe a
xs

instance Nullable Stack where
	null :: (Predicate :. Stack) := a
null = (Stack a -> Boolean) -> (Predicate :. Stack) := a
forall a. (a -> Boolean) -> Predicate a
Predicate ((Stack a -> Boolean) -> (Predicate :. Stack) := a)
-> (Stack a -> Boolean) -> (Predicate :. Stack) := a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ \case { TU Maybe (Construction Maybe a)
Nothing -> Boolean
True ; Stack a
_ -> Boolean
False }

instance Substructure Tail Stack where
	type Substructural Tail Stack = Stack
	substructure :: Lens ((<:.>) (Tagged 'Tail) Stack a) (Substructural 'Tail Stack a)
substructure (TU Covariant Covariant Maybe (Construction Maybe) a
-> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run (TU Covariant Covariant Maybe (Construction Maybe) a
 -> Maybe (Construction Maybe a))
-> ((<:.>) (Tagged 'Tail) Stack a
    -> TU Covariant Covariant Maybe (Construction Maybe) a)
-> (<:.>) (Tagged 'Tail) Stack a
-> Maybe (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. TU Covariant Covariant Maybe (Construction Maybe) a
<:= Tagged 'Tail
forall (t :: * -> *) a. Extractable t => a <:= t
extract (TU Covariant Covariant Maybe (Construction Maybe) a
 <:= Tagged 'Tail)
-> ((<:.>) (Tagged 'Tail) Stack a
    -> Tagged
         'Tail (TU Covariant Covariant Maybe (Construction Maybe) a))
-> (<:.>) (Tagged 'Tail) Stack a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged 'Tail) Stack a
-> Tagged
     'Tail (TU Covariant Covariant Maybe (Construction Maybe) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Just Construction Maybe a
ns) = TU Covariant Covariant Maybe (Construction Maybe) a
-> (<:.>) (Tagged 'Tail) Stack a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (TU Covariant Covariant Maybe (Construction Maybe) a
 -> (<:.>) (Tagged 'Tail) Stack a)
-> (Construction Maybe a
    -> TU Covariant Covariant Maybe (Construction Maybe) a)
-> Construction Maybe a
-> (<:.>) (Tagged 'Tail) Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (Construction Maybe a -> (<:.>) (Tagged 'Tail) Stack a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     (Construction Maybe a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     ((<:.>) (Tagged 'Tail) Stack a)
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Lens
  (Construction Maybe a) (Substructural 'Tail (Construction Maybe) a)
forall k (f :: k) (t :: * -> *).
Substructure f t =>
t :~. Substructural f t
sub @Tail Construction Maybe a
ns
	substructure (TU Covariant Covariant Maybe (Construction Maybe) a
-> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run (TU Covariant Covariant Maybe (Construction Maybe) a
 -> Maybe (Construction Maybe a))
-> ((<:.>) (Tagged 'Tail) Stack a
    -> TU Covariant Covariant Maybe (Construction Maybe) a)
-> (<:.>) (Tagged 'Tail) Stack a
-> Maybe (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. TU Covariant Covariant Maybe (Construction Maybe) a
<:= Tagged 'Tail
forall (t :: * -> *) a. Extractable t => a <:= t
extract (TU Covariant Covariant Maybe (Construction Maybe) a
 <:= Tagged 'Tail)
-> ((<:.>) (Tagged 'Tail) Stack a
    -> Tagged
         'Tail (TU Covariant Covariant Maybe (Construction Maybe) a))
-> (<:.>) (Tagged 'Tail) Stack a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged 'Tail) Stack a
-> Tagged
     'Tail (TU Covariant Covariant Maybe (Construction Maybe) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Maybe (Construction Maybe a)
Nothing) = (((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
  :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
 := (<:.>) (Tagged 'Tail) Stack a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     ((<:.>) (Tagged 'Tail) Stack a)
forall s a. (((:*:) s :. (->) s) := a) -> Store s a
Store ((((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
   :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
  := (<:.>) (Tagged 'Tail) Stack a)
 -> Store
      (TU Covariant Covariant Maybe (Construction Maybe) a)
      ((<:.>) (Tagged 'Tail) Stack a))
-> (((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
     :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
    := (<:.>) (Tagged 'Tail) Stack a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     ((<:.>) (Tagged 'Tail) Stack a)
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ TU Covariant Covariant Maybe (Construction Maybe) a
forall (t :: * -> *) a. Avoidable t => t a
empty TU Covariant Covariant Maybe (Construction Maybe) a
-> (TU Covariant Covariant Maybe (Construction Maybe) a
    -> (<:.>) (Tagged 'Tail) Stack a)
-> ((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
    :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
   := (<:.>) (Tagged 'Tail) Stack a
forall s a. s -> a -> Product s a
:*: TU Covariant Covariant Maybe (Construction Maybe) a
-> (<:.>) (Tagged 'Tail) Stack a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (TU Covariant Covariant Maybe (Construction Maybe) a
 -> (<:.>) (Tagged 'Tail) Stack a)
-> (TU Covariant Covariant Maybe (Construction Maybe) a
    -> TU Covariant Covariant Maybe (Construction Maybe) a)
-> TU Covariant Covariant Maybe (Construction Maybe) a
-> (<:.>) (Tagged 'Tail) Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. TU Covariant Covariant Maybe (Construction Maybe) a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (m :: * -> * -> *) a. Category m => m a a
identity

instance Deletable Stack where
	delete :: a -> Stack a -> Stack a
delete a
_ (TU Maybe (Construction Maybe a)
Nothing) = Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU Maybe (Construction Maybe a)
forall a. Maybe a
Nothing
	delete a
x (TU (Just (Construct a
y Maybe (Construction Maybe a)
ys))) = a
x a -> a -> Boolean
forall a. Setoid a => a -> a -> Boolean
== a
y Boolean -> Stack a -> Stack a -> Stack a
forall a. Boolean -> a -> a -> a
? Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU Maybe (Construction Maybe a)
ys
		(Stack a -> Stack a) -> Stack a -> Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Construction Maybe a -> Stack a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (Construction Maybe a -> Stack a)
-> (Stack a -> Construction Maybe a) -> Stack a -> Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> Maybe (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
y (Maybe (Construction Maybe a) -> Construction Maybe a)
-> (Stack a -> Maybe (Construction Maybe a))
-> Stack a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Stack a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run (Stack a -> Maybe (Construction Maybe a))
-> (Stack a -> Stack a) -> Stack a -> Maybe (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> Stack a -> Stack a
forall (t :: * -> *) a. (Deletable t, Setoid a) => a -> t a -> t a
delete @Stack a
x (Stack a -> Stack a) -> Stack a -> Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Maybe (Construction Maybe a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU Maybe (Construction Maybe a)
ys

filter :: forall a . Predicate a -> Stack a -> Stack a
filter :: Predicate a -> Stack a -> Stack a
filter (Predicate a -> Boolean
p) = ((Maybe :. Construction Maybe) := a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU (((Maybe :. Construction Maybe) := a) -> Stack a)
-> (Stack a -> (Maybe :. Construction Maybe) := a)
-> Stack a
-> Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. ((Maybe :. Construction Maybe) := a)
<:= Product ((Maybe :. Construction Maybe) := a)
forall (t :: * -> *) a. Extractable t => a <:= t
extract
	(((Maybe :. Construction Maybe) := a)
 <:= Product ((Maybe :. Construction Maybe) := a))
-> (Stack a
    -> Product
         ((Maybe :. Construction Maybe) := a)
         ((Maybe :. Construction Maybe) := a))
-> Stack a
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. forall a.
Interpreted (State ((Maybe :. Nonempty Stack) := a)) =>
State ((Maybe :. Nonempty Stack) := a) a
-> Primary (State ((Maybe :. Nonempty Stack) := a)) a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run @(State (Maybe :. Nonempty Stack := a)) (State
   ((Maybe :. Construction Maybe) := a)
   ((Maybe :. Construction Maybe) := a)
 -> ((Maybe :. Construction Maybe) := a)
 -> Product
      ((Maybe :. Construction Maybe) := a)
      ((Maybe :. Construction Maybe) := a))
-> ((Maybe :. Construction Maybe) := a)
-> State
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
-> Product
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall a b c. (a -> b -> c) -> b -> a -> c
% (Maybe :. Construction Maybe) := a
forall a. Maybe a
Nothing
	(State
   ((Maybe :. Construction Maybe) := a)
   ((Maybe :. Construction Maybe) := a)
 -> Product
      ((Maybe :. Construction Maybe) := a)
      ((Maybe :. Construction Maybe) := a))
-> (Stack a
    -> State
         ((Maybe :. Construction Maybe) := a)
         ((Maybe :. Construction Maybe) := a))
-> Stack a
-> Product
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (a
 -> ((Maybe :. Construction Maybe) := a)
 -> (Maybe :. Construction Maybe) := a)
-> Stack a
-> State
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall (t :: * -> *) s (u :: * -> *) a.
(Traversable t, Memorable s u) =>
(a -> s -> s) -> t a -> u s
fold (\a
now (Maybe :. Construction Maybe) := a
new -> a -> Boolean
p a
now Boolean
-> ((Maybe :. Construction Maybe) := a)
-> ((Maybe :. Construction Maybe) := a)
-> (Maybe :. Construction Maybe) := a
forall a. Boolean -> a -> a -> a
? Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall a. a -> Maybe a
Just (a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
now (Maybe :. Construction Maybe) := a
new) (((Maybe :. Construction Maybe) := a)
 -> (Maybe :. Construction Maybe) := a)
-> ((Maybe :. Construction Maybe) := a)
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ (Maybe :. Construction Maybe) := a
new)

-- | Transform any traversable structure into a stack
linearize :: forall t a . Traversable t => t a -> Stack a
linearize :: t a -> Stack a
linearize = ((Maybe :. Construction Maybe) := a) -> Stack a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU (((Maybe :. Construction Maybe) := a) -> Stack a)
-> (t a -> (Maybe :. Construction Maybe) := a) -> t a -> Stack a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. ((Maybe :. Construction Maybe) := a)
<:= Product ((Maybe :. Construction Maybe) := a)
forall (t :: * -> *) a. Extractable t => a <:= t
extract (((Maybe :. Construction Maybe) := a)
 <:= Product ((Maybe :. Construction Maybe) := a))
-> (t a
    -> Product
         ((Maybe :. Construction Maybe) := a)
         ((Maybe :. Construction Maybe) := a))
-> t a
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. forall a.
Interpreted (State ((Maybe :. Nonempty Stack) := a)) =>
State ((Maybe :. Nonempty Stack) := a) a
-> Primary (State ((Maybe :. Nonempty Stack) := a)) a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run @(State (Maybe :. Nonempty Stack := a)) (State
   ((Maybe :. Construction Maybe) := a)
   ((Maybe :. Construction Maybe) := a)
 -> ((Maybe :. Construction Maybe) := a)
 -> Product
      ((Maybe :. Construction Maybe) := a)
      ((Maybe :. Construction Maybe) := a))
-> ((Maybe :. Construction Maybe) := a)
-> State
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
-> Product
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall a b c. (a -> b -> c) -> b -> a -> c
% (Maybe :. Construction Maybe) := a
forall a. Maybe a
Nothing (State
   ((Maybe :. Construction Maybe) := a)
   ((Maybe :. Construction Maybe) := a)
 -> Product
      ((Maybe :. Construction Maybe) := a)
      ((Maybe :. Construction Maybe) := a))
-> (t a
    -> State
         ((Maybe :. Construction Maybe) := a)
         ((Maybe :. Construction Maybe) := a))
-> t a
-> Product
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (a
 -> ((Maybe :. Construction Maybe) := a)
 -> (Maybe :. Construction Maybe) := a)
-> t a
-> State
     ((Maybe :. Construction Maybe) := a)
     ((Maybe :. Construction Maybe) := a)
forall (t :: * -> *) s (u :: * -> *) a.
(Traversable t, Memorable s u) =>
(a -> s -> s) -> t a -> u s
fold (Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall a. a -> Maybe a
Just (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> (((->) a :. (->) ((Maybe :. Construction Maybe) := a))
    := Construction Maybe a)
-> a
-> ((Maybe :. Construction Maybe) := a)
-> (Maybe :. Construction Maybe) := a
forall (v :: * -> * -> *) a c d b.
(Category v, Covariant (v a)) =>
v c d -> ((v a :. v b) := c) -> (v a :. v b) := d
.|.. ((->) a :. (->) ((Maybe :. Construction Maybe) := a))
:= Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct)

type instance Nonempty Stack = Construction Maybe

instance {-# OVERLAPS #-} Semigroup (Construction Maybe a) where
	Construct a
x Maybe (Construction Maybe a)
Nothing + :: Construction Maybe a
-> Construction Maybe a -> Construction Maybe a
+ Construction Maybe a
ys = a -> Maybe (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (Maybe (Construction Maybe a) -> Construction Maybe a)
-> Maybe (Construction Maybe a) -> Construction Maybe a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Construction Maybe a -> Maybe (Construction Maybe a)
forall a. a -> Maybe a
Just Construction Maybe a
ys
	Construct a
x (Just Construction Maybe a
xs) + Construction Maybe a
ys = a -> Maybe (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (Maybe (Construction Maybe a) -> Construction Maybe a)
-> (Construction Maybe a -> Maybe (Construction Maybe a))
-> Construction Maybe a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe a -> Maybe (Construction Maybe a)
forall a. a -> Maybe a
Just (Construction Maybe a -> Construction Maybe a)
-> Construction Maybe a -> Construction Maybe a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Construction Maybe a
xs Construction Maybe a
-> Construction Maybe a -> Construction Maybe a
forall a. Semigroup a => a -> a -> a
+ Construction Maybe a
ys

instance Morphable Stack (Construction Maybe) where
	type Morphing Stack (Construction Maybe) = Stack
	morphing :: (<:.>) (Tagged Stack) (Construction Maybe) a
-> Morphing Stack (Construction Maybe) a
morphing = Construction Maybe a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (Construction Maybe a
 -> TU Covariant Covariant Maybe (Construction Maybe) a)
-> ((<:.>) (Tagged Stack) (Construction Maybe) a
    -> Construction Maybe a)
-> (<:.>) (Tagged Stack) (Construction Maybe) a
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe a <:= Tagged Stack
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Construction Maybe a <:= Tagged Stack)
-> ((<:.>) (Tagged Stack) (Construction Maybe) a
    -> Tagged Stack (Construction Maybe a))
-> (<:.>) (Tagged Stack) (Construction Maybe) a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged Stack) (Construction Maybe) a
-> Tagged Stack (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run

instance Focusable Head (Construction Maybe) where
	type Focusing Head (Construction Maybe) a = a
	focusing :: Tagged 'Head (Construction Maybe a)
:-. Focusing 'Head (Construction Maybe) a
focusing (Construction Maybe a <:= Tagged 'Head
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> Construction Maybe a
stack) = (((:*:) a :. (->) a) := Tagged 'Head (Construction Maybe a))
-> Store a (Tagged 'Head (Construction Maybe a))
forall s a. (((:*:) s :. (->) s) := a) -> Store s a
Store ((((:*:) a :. (->) a) := Tagged 'Head (Construction Maybe a))
 -> Store a (Tagged 'Head (Construction Maybe a)))
-> (((:*:) a :. (->) a) := Tagged 'Head (Construction Maybe a))
-> Store a (Tagged 'Head (Construction Maybe a))
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a <:= Construction Maybe
forall (t :: * -> *) a. Extractable t => a <:= t
extract Construction Maybe a
stack a
-> (a -> Tagged 'Head (Construction Maybe a))
-> ((:*:) a :. (->) a) := Tagged 'Head (Construction Maybe a)
forall s a. s -> a -> Product s a
:*: Construction Maybe a -> Tagged 'Head (Construction Maybe a)
forall k (tag :: k) a. a -> Tagged tag a
Tag (Construction Maybe a -> Tagged 'Head (Construction Maybe a))
-> (a -> Construction Maybe a)
-> a
-> Tagged 'Head (Construction Maybe a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct (a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a)
-> ((Maybe :. Construction Maybe) := a)
-> a
-> Construction Maybe a
forall a b c. (a -> b -> c) -> b -> a -> c
% Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct Construction Maybe a
stack

instance Insertable (Construction Maybe) where
	insert :: a -> Construction Maybe a -> Construction Maybe a
insert a
x = a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (((Maybe :. Construction Maybe) := a) -> Construction Maybe a)
-> (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> Construction Maybe a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall a. a -> Maybe a
Just

instance Measurable Length (Construction Maybe) where
	type Measural Length (Construction Maybe) a = Denumerator
	measurement :: Tagged 'Length (Construction Maybe a)
-> Measural 'Length (Construction Maybe) a
measurement (Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> (Tagged 'Length (Construction Maybe a) -> Construction Maybe a)
-> Tagged 'Length (Construction Maybe a)
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Tagged 'Length (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> (Maybe :. Construction Maybe) := a
Nothing) = Denumerator
Measural 'Length (Construction Maybe) a
One
	measurement (Construction Maybe a -> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct (Construction Maybe a -> (Maybe :. Construction Maybe) := a)
-> (Tagged 'Length (Construction Maybe a) -> Construction Maybe a)
-> Tagged 'Length (Construction Maybe a)
-> (Maybe :. Construction Maybe) := a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Tagged 'Length (Construction Maybe a) -> Construction Maybe a
forall (t :: * -> *) a. Extractable t => a <:= t
extract -> Just Construction Maybe a
xs) = Denumerator
One Denumerator -> Denumerator -> Denumerator
forall a. Semigroup a => a -> a -> a
+ Construction Maybe a -> Measural 'Length (Construction Maybe) a
forall k (f :: k) (t :: * -> *) a.
Measurable f t =>
t a -> Measural f t a
measure @Length Construction Maybe a
xs

instance Monotonic a (Construction Maybe a) where
	reduce :: (a -> r -> r) -> r -> Construction Maybe a -> r
reduce a -> r -> r
f r
r ~(Construct a
x (Maybe :. Construction Maybe) := a
xs) = a -> r -> r
f a
x (r -> r) -> r -> r
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ (a -> r -> r) -> r -> ((Maybe :. Construction Maybe) := a) -> r
forall a e r. Monotonic a e => (a -> r -> r) -> r -> e -> r
reduce a -> r -> r
f r
r (Maybe :. Construction Maybe) := a
xs

instance Substructure Tail (Construction Maybe) where
	type Substructural Tail (Construction Maybe) = Stack
	substructure :: Lens
  ((<:.>) (Tagged 'Tail) (Construction Maybe) a)
  (Substructural 'Tail (Construction Maybe) a)
substructure (Construction Maybe a <:= Tagged 'Tail
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Construction Maybe a <:= Tagged 'Tail)
-> ((<:.>) (Tagged 'Tail) (Construction Maybe) a
    -> Tagged 'Tail (Construction Maybe a))
-> (<:.>) (Tagged 'Tail) (Construction Maybe) a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged 'Tail) (Construction Maybe) a
-> Tagged 'Tail (Construction Maybe a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Construct a
x (Maybe :. Construction Maybe) := a
xs) =
		(((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
  :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
 := (<:.>) (Tagged 'Tail) (Construction Maybe) a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     ((<:.>) (Tagged 'Tail) (Construction Maybe) a)
forall s a. (((:*:) s :. (->) s) := a) -> Store s a
Store ((((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
   :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
  := (<:.>) (Tagged 'Tail) (Construction Maybe) a)
 -> Store
      (TU Covariant Covariant Maybe (Construction Maybe) a)
      ((<:.>) (Tagged 'Tail) (Construction Maybe) a))
-> (((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
     :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
    := (<:.>) (Tagged 'Tail) (Construction Maybe) a)
-> Store
     (TU Covariant Covariant Maybe (Construction Maybe) a)
     ((<:.>) (Tagged 'Tail) (Construction Maybe) a)
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ ((Maybe :. Construction Maybe) := a)
-> TU Covariant Covariant Maybe (Construction Maybe) a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU (Maybe :. Construction Maybe) := a
xs TU Covariant Covariant Maybe (Construction Maybe) a
-> (TU Covariant Covariant Maybe (Construction Maybe) a
    -> (<:.>) (Tagged 'Tail) (Construction Maybe) a)
-> ((:*:) (TU Covariant Covariant Maybe (Construction Maybe) a)
    :. (->) (TU Covariant Covariant Maybe (Construction Maybe) a))
   := (<:.>) (Tagged 'Tail) (Construction Maybe) a
forall s a. s -> a -> Product s a
:*: Construction Maybe a
-> (<:.>) (Tagged 'Tail) (Construction Maybe) a
forall (t :: (* -> *) -> * -> *) (u :: * -> *).
(Liftable t, Covariant u) =>
u ~> t u
lift (Construction Maybe a
 -> (<:.>) (Tagged 'Tail) (Construction Maybe) a)
-> (TU Covariant Covariant Maybe (Construction Maybe) a
    -> Construction Maybe a)
-> TU Covariant Covariant Maybe (Construction Maybe) a
-> (<:.>) (Tagged 'Tail) (Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. a -> ((Maybe :. Construction Maybe) := a) -> Construction Maybe a
forall (t :: * -> *) a.
a -> ((t :. Construction t) := a) -> Construction t a
Construct a
x (((Maybe :. Construction Maybe) := a) -> Construction Maybe a)
-> (TU Covariant Covariant Maybe (Construction Maybe) a
    -> (Maybe :. Construction Maybe) := a)
-> TU Covariant Covariant Maybe (Construction Maybe) a
-> Construction Maybe a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. TU Covariant Covariant Maybe (Construction Maybe) a
-> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run

type instance Zipper Stack = Tap ((:*:) <:.:> Stack)

instance {-# OVERLAPS #-} Extendable (Tap ((:*:) <:.:> Stack)) where
	Tap ((:*:) <:.:> Stack) a
z =>> :: Tap ((:*:) <:.:> Stack) a
-> (Tap ((:*:) <:.:> Stack) a -> b) -> Tap ((:*:) <:.:> Stack) b
=>> Tap ((:*:) <:.:> Stack) a -> b
f = let move :: (Tap ((:*:) <:.:> Stack) a :=> Maybe)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
move Tap ((:*:) <:.:> Stack) a :=> Maybe
rtt = ((Maybe :. Construction Maybe) := Tap ((:*:) <:.:> Stack) a)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU (((Maybe :. Construction Maybe) := Tap ((:*:) <:.:> Stack) a)
 -> TU
      Covariant
      Covariant
      Maybe
      (Construction Maybe)
      (Tap ((:*:) <:.:> Stack) a))
-> (Construction Maybe (Tap ((:*:) <:.:> Stack) a)
    -> (Maybe :. Construction Maybe) := Tap ((:*:) <:.:> Stack) a)
-> Construction Maybe (Tap ((:*:) <:.:> Stack) a)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Construction Maybe (Tap ((:*:) <:.:> Stack) a)
-> (Maybe :. Construction Maybe) := Tap ((:*:) <:.:> Stack) a
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct (Construction Maybe (Tap ((:*:) <:.:> Stack) a)
 -> TU
      Covariant
      Covariant
      Maybe
      (Construction Maybe)
      (Tap ((:*:) <:.:> Stack) a))
-> Construction Maybe (Tap ((:*:) <:.:> Stack) a)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Tap ((:*:) <:.:> Stack) a :=> Maybe
rtt (Tap ((:*:) <:.:> Stack) a :=> Maybe)
-> Tap ((:*:) <:.:> Stack) a :=> Construction Maybe
forall (t :: * -> *) a.
Covariant t =>
(a :=> t) -> a :=> Construction t
.-+ Tap ((:*:) <:.:> Stack) a
z
		in Tap ((:*:) <:.:> Stack) a -> b
f (Tap ((:*:) <:.:> Stack) a -> b)
-> Tap ((:*:) <:.:> Stack) (Tap ((:*:) <:.:> Stack) a)
-> Tap ((:*:) <:.:> Stack) b
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Tap ((:*:) <:.:> Stack) a
-> (<:.:>) (:*:) Stack (Tap ((:*:) <:.:> Stack) a)
-> Tap ((:*:) <:.:> Stack) (Tap ((:*:) <:.:> Stack) a)
forall (t :: * -> *) a. a -> t a -> Tap t a
Tap Tap ((:*:) <:.:> Stack) a
z (Product
  (TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a))
  (TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a))
-> (<:.:>) (:*:) Stack (Tap ((:*:) <:.:> Stack) a)
forall k k k k k (ct :: k) (cu :: k) (t :: k -> k)
       (p :: k -> k -> *) (u :: k -> k) (a :: k).
p (t a) (u a) -> T_U ct cu t p u a
T_U (Product
   (TU
      Covariant
      Covariant
      Maybe
      (Construction Maybe)
      (Tap ((:*:) <:.:> Stack) a))
   (TU
      Covariant
      Covariant
      Maybe
      (Construction Maybe)
      (Tap ((:*:) <:.:> Stack) a))
 -> (<:.:>) (:*:) Stack (Tap ((:*:) <:.:> Stack) a))
-> Product
     (TU
        Covariant
        Covariant
        Maybe
        (Construction Maybe)
        (Tap ((:*:) <:.:> Stack) a))
     (TU
        Covariant
        Covariant
        Maybe
        (Construction Maybe)
        (Tap ((:*:) <:.:> Stack) a))
-> (<:.:>) (:*:) Stack (Tap ((:*:) <:.:> Stack) a)
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ (Tap ((:*:) <:.:> Stack) a :=> Maybe)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
move ((<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a
-> (Maybe :. Tap ((:*:) <:.:> Stack)) := a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run ((<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a
 -> (Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> (Tap ((:*:) <:.:> Stack) a
    -> (<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a)
-> Tap ((:*:) <:.:> Stack) a :=> Maybe
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. forall k (f :: k) (t :: * -> *). Morphable f t => t ~> Morphing f t
forall (t :: * -> *).
Morphable ('Rotate 'Left) t =>
t ~> Morphing ('Rotate 'Left) t
morph @(Rotate Left)) TU
  Covariant
  Covariant
  Maybe
  (Construction Maybe)
  (Tap ((:*:) <:.:> Stack) a)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
-> Product
     (TU
        Covariant
        Covariant
        Maybe
        (Construction Maybe)
        (Tap ((:*:) <:.:> Stack) a))
     (TU
        Covariant
        Covariant
        Maybe
        (Construction Maybe)
        (Tap ((:*:) <:.:> Stack) a))
forall s a. s -> a -> Product s a
:*: (Tap ((:*:) <:.:> Stack) a :=> Maybe)
-> TU
     Covariant
     Covariant
     Maybe
     (Construction Maybe)
     (Tap ((:*:) <:.:> Stack) a)
move ((<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a
-> (Maybe :. Tap ((:*:) <:.:> Stack)) := a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run ((<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a
 -> (Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> (Tap ((:*:) <:.:> Stack) a
    -> (<:.>) Maybe (Tap ((:*:) <:.:> Stack)) a)
-> Tap ((:*:) <:.:> Stack) a :=> Maybe
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. forall k (f :: k) (t :: * -> *). Morphable f t => t ~> Morphing f t
forall (t :: * -> *).
Morphable ('Rotate 'Right) t =>
t ~> Morphing ('Rotate 'Right) t
morph @(Rotate Right)))

instance Morphable (Rotate Left) (Tap ((:*:) <:.:> Stack)) where
	type Morphing (Rotate Left) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack
	morphing :: (<:.>) (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Stack)) a
-> Morphing ('Rotate 'Left) (Tap ((:*:) <:.:> Stack)) a
morphing (Tap ((:*:) <:.:> Stack) a <:= Tagged ('Rotate 'Left)
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Tap ((:*:) <:.:> Stack) a <:= Tagged ('Rotate 'Left))
-> ((<:.>) (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Stack)) a
    -> Tagged ('Rotate 'Left) (Tap ((:*:) <:.:> Stack) a))
-> (<:.>) (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Stack)) a
-> Tap ((:*:) <:.:> Stack) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Stack)) a
-> Tagged ('Rotate 'Left) (Tap ((:*:) <:.:> Stack) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Tap a
x (T_U (Stack a
bs :*: Stack a
fs))) = ((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU
		(((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
 -> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a)
-> ((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a
-> T_U Covariant Covariant Stack (:*:) Stack a
-> Tap ((:*:) <:.:> Stack) a
forall (t :: * -> *) a. a -> t a -> Tap t a
Tap (a
 -> T_U Covariant Covariant Stack (:*:) Stack a
 -> Tap ((:*:) <:.:> Stack) a)
-> T_U Covariant Covariant Stack (:*:) Stack a
-> a
-> Tap ((:*:) <:.:> Stack) a
forall a b c. (a -> b -> c) -> b -> a -> c
% (Product (Stack a) (Stack a)
-> T_U Covariant Covariant Stack (:*:) Stack a
forall k k k k k (ct :: k) (cu :: k) (t :: k -> k)
       (p :: k -> k -> *) (u :: k -> k) (a :: k).
p (t a) (u a) -> T_U ct cu t p u a
T_U (Product (Stack a) (Stack a)
 -> T_U Covariant Covariant Stack (:*:) Stack a)
-> Product (Stack a) (Stack a)
-> T_U Covariant Covariant Stack (:*:) Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ Stack a -> Substructural 'Tail Stack a
forall k (f :: k) (t :: * -> *).
Substructure f t =>
t ~> Substructural f t
subview @Tail Stack a
bs Stack a -> Stack a -> Product (Stack a) (Stack a)
forall s a. s -> a -> Product s a
:*: a -> Stack a -> Stack a
forall (t :: * -> *) a. Insertable t => a -> t a -> t a
insert a
x Stack a
fs) (a -> Tap ((:*:) <:.:> Stack) a)
-> Maybe a -> (Maybe :. Tap ((:*:) <:.:> Stack)) := a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Lens (Stack a) (Maybe a) -> Stack a -> Maybe a
forall src tgt. Lens src tgt -> src -> tgt
view (forall k (f :: * -> k) (t :: * -> *) a.
Focusable f t =>
t a :-. Focusing f t a
forall (t :: * -> *) a.
Focusable 'Head t =>
t a :-. Focusing 'Head t a
focus @Head) Stack a
bs

instance Morphable (Rotate Right) (Tap ((:*:) <:.:> Stack)) where
	type Morphing (Rotate Right) (Tap ((:*:) <:.:> Stack)) = Maybe <:.> Zipper Stack
	morphing :: (<:.>) (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Stack)) a
-> Morphing ('Rotate 'Right) (Tap ((:*:) <:.:> Stack)) a
morphing (Tap ((:*:) <:.:> Stack) a <:= Tagged ('Rotate 'Right)
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Tap ((:*:) <:.:> Stack) a <:= Tagged ('Rotate 'Right))
-> ((<:.>) (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Stack)) a
    -> Tagged ('Rotate 'Right) (Tap ((:*:) <:.:> Stack) a))
-> (<:.>) (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Stack)) a
-> Tap ((:*:) <:.:> Stack) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>) (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Stack)) a
-> Tagged ('Rotate 'Right) (Tap ((:*:) <:.:> Stack) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Tap a
x (T_U (Stack a
bs :*: Stack a
fs))) = ((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU
		(((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
 -> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a)
-> ((Maybe :. Tap ((:*:) <:.:> Stack)) := a)
-> TU Covariant Covariant Maybe (Tap ((:*:) <:.:> Stack)) a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a
-> T_U Covariant Covariant Stack (:*:) Stack a
-> Tap ((:*:) <:.:> Stack) a
forall (t :: * -> *) a. a -> t a -> Tap t a
Tap (a
 -> T_U Covariant Covariant Stack (:*:) Stack a
 -> Tap ((:*:) <:.:> Stack) a)
-> T_U Covariant Covariant Stack (:*:) Stack a
-> a
-> Tap ((:*:) <:.:> Stack) a
forall a b c. (a -> b -> c) -> b -> a -> c
% (Product (Stack a) (Stack a)
-> T_U Covariant Covariant Stack (:*:) Stack a
forall k k k k k (ct :: k) (cu :: k) (t :: k -> k)
       (p :: k -> k -> *) (u :: k -> k) (a :: k).
p (t a) (u a) -> T_U ct cu t p u a
T_U (Product (Stack a) (Stack a)
 -> T_U Covariant Covariant Stack (:*:) Stack a)
-> Product (Stack a) (Stack a)
-> T_U Covariant Covariant Stack (:*:) Stack a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a -> Stack a -> Stack a
forall (t :: * -> *) a. Insertable t => a -> t a -> t a
insert a
x Stack a
bs Stack a -> Stack a -> Product (Stack a) (Stack a)
forall s a. s -> a -> Product s a
:*: Stack a -> Substructural 'Tail Stack a
forall k (f :: k) (t :: * -> *).
Substructure f t =>
t ~> Substructural f t
subview @Tail Stack a
fs) (a -> Tap ((:*:) <:.:> Stack) a)
-> Maybe a -> (Maybe :. Tap ((:*:) <:.:> Stack)) := a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Lens (Stack a) (Maybe a) -> Stack a -> Maybe a
forall src tgt. Lens src tgt -> src -> tgt
view (forall k (f :: * -> k) (t :: * -> *) a.
Focusable f t =>
t a :-. Focusing f t a
forall (t :: * -> *) a.
Focusable 'Head t =>
t a :-. Focusing 'Head t a
focus @Head) Stack a
fs

type instance Zipper (Construction Maybe) = Tap ((:*:) <:.:> Construction Maybe)

instance Morphable (Rotate Left) (Tap ((:*:) <:.:> Construction Maybe)) where
	type Morphing (Rotate Left) (Tap ((:*:) <:.:> Construction Maybe)) = Maybe <:.> Zipper (Construction Maybe)
	morphing :: (<:.>)
  (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Morphing
     ('Rotate 'Left) (Tap ((:*:) <:.:> Construction Maybe)) a
morphing (Tap ((:*:) <:.:> Construction Maybe) a <:= Tagged ('Rotate 'Left)
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Tap ((:*:) <:.:> Construction Maybe) a <:= Tagged ('Rotate 'Left))
-> ((<:.>)
      (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Construction Maybe)) a
    -> Tagged ('Rotate 'Left) (Tap ((:*:) <:.:> Construction Maybe) a))
-> (<:.>)
     (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>)
  (Tagged ('Rotate 'Left)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Tagged ('Rotate 'Left) (Tap ((:*:) <:.:> Construction Maybe) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Tap a
x (T_U (Construction Maybe a
bs :*: Construction Maybe a
fs))) = ((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
-> TU
     Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU
		(((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
 -> TU
      Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a)
-> ((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
-> TU
     Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (t :: * -> *) a. a -> t a -> Tap t a
Tap (a <:= Construction Maybe
forall (t :: * -> *) a. Extractable t => a <:= t
extract Construction Maybe a
bs) (T_U
   Covariant
   Covariant
   (Construction Maybe)
   (:*:)
   (Construction Maybe)
   a
 -> Tap ((:*:) <:.:> Construction Maybe) a)
-> (Construction Maybe a
    -> T_U
         Covariant
         Covariant
         (Construction Maybe)
         (:*:)
         (Construction Maybe)
         a)
-> Construction Maybe a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Product (Construction Maybe a) (Construction Maybe a)
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
forall k k k k k (ct :: k) (cu :: k) (t :: k -> k)
       (p :: k -> k -> *) (u :: k -> k) (a :: k).
p (t a) (u a) -> T_U ct cu t p u a
T_U (Product (Construction Maybe a) (Construction Maybe a)
 -> T_U
      Covariant
      Covariant
      (Construction Maybe)
      (:*:)
      (Construction Maybe)
      a)
-> (Construction Maybe a
    -> Product (Construction Maybe a) (Construction Maybe a))
-> Construction Maybe a
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (Construction Maybe a
-> Construction Maybe a
-> Product (Construction Maybe a) (Construction Maybe a)
forall s a. s -> a -> Product s a
:*: a -> Construction Maybe a -> Construction Maybe a
forall (t :: * -> *) a. Insertable t => a -> t a -> t a
insert a
x Construction Maybe a
fs) (Construction Maybe a -> Tap ((:*:) <:.:> Construction Maybe) a)
-> Maybe (Construction Maybe a)
-> (Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Construction Maybe a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct Construction Maybe a
bs

instance Morphable (Rotate Right) (Tap ((:*:) <:.:> Construction Maybe)) where
	type Morphing (Rotate Right) (Tap ((:*:) <:.:> Construction Maybe)) = Maybe <:.> Zipper (Construction Maybe)
	morphing :: (<:.>)
  (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Morphing
     ('Rotate 'Right) (Tap ((:*:) <:.:> Construction Maybe)) a
morphing (Tap ((:*:) <:.:> Construction Maybe) a <:= Tagged ('Rotate 'Right)
forall (t :: * -> *) a. Extractable t => a <:= t
extract (Tap ((:*:) <:.:> Construction Maybe) a
 <:= Tagged ('Rotate 'Right))
-> ((<:.>)
      (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Construction Maybe)) a
    -> Tagged
         ('Rotate 'Right) (Tap ((:*:) <:.:> Construction Maybe) a))
-> (<:.>)
     (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (<:.>)
  (Tagged ('Rotate 'Right)) (Tap ((:*:) <:.:> Construction Maybe)) a
-> Tagged ('Rotate 'Right) (Tap ((:*:) <:.:> Construction Maybe) a)
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run -> Tap a
x (T_U (Construction Maybe a
bs :*: Construction Maybe a
fs))) = ((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
-> TU
     Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a
forall k k k k (ct :: k) (cu :: k) (t :: k -> *) (u :: k -> k)
       (a :: k).
((t :. u) := a) -> TU ct cu t u a
TU
		(((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
 -> TU
      Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a)
-> ((Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a)
-> TU
     Covariant Covariant Maybe (Tap ((:*:) <:.:> Construction Maybe)) a
forall (m :: * -> * -> *) a b. Category m => m a b -> m a b
$ a
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (t :: * -> *) a. a -> t a -> Tap t a
Tap (a <:= Construction Maybe
forall (t :: * -> *) a. Extractable t => a <:= t
extract Construction Maybe a
fs) (T_U
   Covariant
   Covariant
   (Construction Maybe)
   (:*:)
   (Construction Maybe)
   a
 -> Tap ((:*:) <:.:> Construction Maybe) a)
-> (Construction Maybe a
    -> T_U
         Covariant
         Covariant
         (Construction Maybe)
         (:*:)
         (Construction Maybe)
         a)
-> Construction Maybe a
-> Tap ((:*:) <:.:> Construction Maybe) a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. Product (Construction Maybe a) (Construction Maybe a)
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
forall k k k k k (ct :: k) (cu :: k) (t :: k -> k)
       (p :: k -> k -> *) (u :: k -> k) (a :: k).
p (t a) (u a) -> T_U ct cu t p u a
T_U (Product (Construction Maybe a) (Construction Maybe a)
 -> T_U
      Covariant
      Covariant
      (Construction Maybe)
      (:*:)
      (Construction Maybe)
      a)
-> (Construction Maybe a
    -> Product (Construction Maybe a) (Construction Maybe a))
-> Construction Maybe a
-> T_U
     Covariant
     Covariant
     (Construction Maybe)
     (:*:)
     (Construction Maybe)
     a
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (a -> Construction Maybe a -> Construction Maybe a
forall (t :: * -> *) a. Insertable t => a -> t a -> t a
insert a
x Construction Maybe a
bs Construction Maybe a
-> Construction Maybe a
-> Product (Construction Maybe a) (Construction Maybe a)
forall s a. s -> a -> Product s a
:*:) (Construction Maybe a -> Tap ((:*:) <:.:> Construction Maybe) a)
-> Maybe (Construction Maybe a)
-> (Maybe :. Tap ((:*:) <:.:> Construction Maybe)) := a
forall (t :: * -> *) a b. Covariant t => (a -> b) -> t a -> t b
<$> Construction Maybe a -> Maybe (Construction Maybe a)
forall (t :: * -> *) a.
Construction t a -> (t :. Construction t) := a
deconstruct Construction Maybe a
fs

instance Monotonic a (Maybe <:.> Construction Maybe := a) where
	reduce :: (a -> r -> r) -> r -> (Stack := a) -> r
reduce a -> r -> r
f r
r = (a -> r -> r) -> r -> ((Maybe :. Construction Maybe) := a) -> r
forall a e r. Monotonic a e => (a -> r -> r) -> r -> e -> r
reduce a -> r -> r
f r
r (((Maybe :. Construction Maybe) := a) -> r)
-> ((Stack := a) -> (Maybe :. Construction Maybe) := a)
-> (Stack := a)
-> r
forall (m :: * -> * -> *) b c a.
Category m =>
m b c -> m a b -> m a c
. (Stack := a) -> (Maybe :. Construction Maybe) := a
forall (t :: * -> *) a. Interpreted t => t a -> Primary t a
run