Safe Haskell	None
Language	Haskell2010

Data.SOP.Strict

Contents

NP
NS
Injections
Re-exports from sop-core

Description

Strict variant of SOP

This does not currently attempt to be exhaustive.

Synopsis

data NP ∷ (k → Type) → [k] → Type where
- Nil ∷ NP f '[]
- (:*) ∷ !(f x) → !(NP f xs) → NP f (x ': xs)
hd ∷ NP f (x ': xs) → f x
singletonNP ∷ f x → NP f '[x]
tl ∷ NP f (x ': xs) → NP f xs
data NS ∷ (k → Type) → [k] → Type where
- Z ∷ !(f x) → NS f (x ': xs)
- S ∷ !(NS f xs) → NS f (x ': xs)
index_NS ∷ ∀ f xs. NS f xs → Int
unZ ∷ NS f '[x] → f x
type Injection (f ∷ k → Type) (xs ∷ [k]) = f -.-> K (NS f xs)
injections ∷ ∀ xs f. SListI xs ⇒ NP (Injection f xs) xs
data Proxy (t ∷ k) = Proxy
mapII ∷ (a → b) → I a → I b
mapIII ∷ (a → b → c) → I a → I b → I c
mapIIK ∷ ∀ k a b c (d ∷ k). (a → b → c) → I a → I b → K c d
mapIK ∷ ∀ k a b (c ∷ k). (a → b) → I a → K b c
mapIKI ∷ ∀ k a b c (d ∷ k). (a → b → c) → I a → K b d → I c
mapIKK ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → I a → K b d → K c e
mapKI ∷ ∀ k a b (c ∷ k). (a → b) → K a c → I b
mapKII ∷ ∀ k a b c (d ∷ k). (a → b → c) → K a d → I b → I c
mapKIK ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → K a d → I b → K c e
mapKK ∷ ∀ k1 k2 a b (c ∷ k1) (d ∷ k2). (a → b) → K a c → K b d
mapKKI ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → K a d → K b e → I c
mapKKK ∷ ∀ k1 k2 k3 a b c (d ∷ k1) (e ∷ k2) (f ∷ k3). (a → b → c) → K a d → K b e → K c f
unComp ∷ ∀ l k f (g ∷ k → l) (p ∷ k). (f :.: g) p → f (g p)
unI ∷ I a → a
unK ∷ ∀ k a (b ∷ k). K a b → a
fn ∷ ∀ k f (a ∷ k) f'. (f a → f' a) → (f -.-> f') a
fn_2 ∷ ∀ k f (a ∷ k) f' f''. (f a → f' a → f'' a) → (f -.-> (f' -.-> f'')) a
fn_3 ∷ ∀ k f (a ∷ k) f' f'' f'''. (f a → f' a → f'' a → f''' a) → (f -.-> (f' -.-> (f'' -.-> f'''))) a
fn_4 ∷ ∀ k f (a ∷ k) f' f'' f''' f''''. (f a → f' a → f'' a → f''' a → f'''' a) → (f -.-> (f' -.-> (f'' -.-> (f''' -.-> f'''')))) a
hcfoldMap ∷ ∀ k l h c (xs ∷ l) m proxy f. (HTraverse_ h, AllN h c xs, Monoid m) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → m) → h f xs → m
hcfor ∷ ∀ l h c (xs ∷ l) g proxy f. (HSequence h, AllN h c xs, Applicative g) ⇒ proxy c → h f xs → (∀ a. c a ⇒ f a → g a) → g (h I xs)
hcfor_ ∷ ∀ k l h c (xs ∷ l) g proxy f. (HTraverse_ h, AllN h c xs, Applicative g) ⇒ proxy c → h f xs → (∀ (a ∷ k). c a ⇒ f a → g ()) → g ()
hcliftA ∷ ∀ k l h c (xs ∷ l) proxy f f'. (AllN (Prod h) c xs, HAp h) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a) → h f xs → h f' xs
hcliftA2 ∷ ∀ k l h c (xs ∷ l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs
hcliftA3 ∷ ∀ k l h c (xs ∷ l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs
hcmap ∷ ∀ k l h c (xs ∷ l) proxy f f'. (AllN (Prod h) c xs, HAp h) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a) → h f xs → h f' xs
hctraverse ∷ ∀ l h c (xs ∷ l) g proxy f. (HSequence h, AllN h c xs, Applicative g) ⇒ proxy c → (∀ a. c a ⇒ f a → g a) → h f xs → g (h I xs)
hczipWith ∷ ∀ k l h c (xs ∷ l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs
hczipWith3 ∷ ∀ k l h c (xs ∷ l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs
hfromI ∷ ∀ l1 k2 l2 h1 (f ∷ k2 → Type) (xs ∷ l1) (ys ∷ l2) h2. (AllZipN (Prod h1) (LiftedCoercible I f) xs ys, HTrans h1 h2) ⇒ h1 I xs → h2 f ys
hliftA ∷ ∀ k l h (xs ∷ l) f f'. (SListIN (Prod h) xs, HAp h) ⇒ (∀ (a ∷ k). f a → f' a) → h f xs → h f' xs
hliftA2 ∷ ∀ k l h (xs ∷ l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs
hliftA3 ∷ ∀ k l h (xs ∷ l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs
hmap ∷ ∀ k l h (xs ∷ l) f f'. (SListIN (Prod h) xs, HAp h) ⇒ (∀ (a ∷ k). f a → f' a) → h f xs → h f' xs
hsequence ∷ ∀ l h (xs ∷ l) f. (SListIN h xs, SListIN (Prod h) xs, HSequence h, Applicative f) ⇒ h f xs → f (h I xs)
hsequenceK ∷ ∀ k l h (xs ∷ l) f a. (SListIN h xs, SListIN (Prod h) xs, Applicative f, HSequence h) ⇒ h (K (f a) ∷ k → Type) xs → f (h (K a ∷ k → Type) xs)
htoI ∷ ∀ k1 l1 l2 h1 (f ∷ k1 → Type) (xs ∷ l1) (ys ∷ l2) h2. (AllZipN (Prod h1) (LiftedCoercible f I) xs ys, HTrans h1 h2) ⇒ h1 f xs → h2 I ys
hzipWith ∷ ∀ k l h (xs ∷ l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs
hzipWith3 ∷ ∀ k l h (xs ∷ l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs
ccase_SList ∷ ∀ k c (xs ∷ [k]) proxy r. All c xs ⇒ proxy c → r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). (c y, All c ys) ⇒ r (y ': ys)) → r xs
fromList ∷ ∀ k (xs ∷ [k]) a. SListI xs ⇒ [a] → Maybe (NP (K a ∷ k → Type) xs)
hcliftA' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f'. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs) → h f xss → h f' xss
hcliftA2' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f' f''. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs → f'' xs) → Prod h f xss → h f' xss → h f'' xss
hcliftA3' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f' f'' f'''. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs → f'' xs → f''' xs) → Prod h f xss → Prod h f' xss → h f'' xss → h f''' xss
projections ∷ ∀ k (xs ∷ [k]) (f ∷ k → Type). SListI xs ⇒ NP (Projection f xs) xs
shiftProjection ∷ ∀ a1 (f ∷ a1 → Type) (xs ∷ [a1]) (a2 ∷ a1) (x ∷ a1). Projection f xs a2 → Projection f (x ': xs) a2
unPOP ∷ ∀ k (f ∷ k → Type) (xss ∷ [[k]]). POP f xss → NP (NP f) xss
apInjs_NP ∷ ∀ k (xs ∷ [k]) (f ∷ k → Type). SListI xs ⇒ NP f xs → [NS f xs]
apInjs_POP ∷ ∀ k (xss ∷ [[k]]) (f ∷ k → Type). SListI xss ⇒ POP f xss → [SOP f xss]
ccompare_NS ∷ ∀ k c proxy r f g (xs ∷ [k]). All c xs ⇒ proxy c → r → (∀ (x ∷ k). c x ⇒ f x → g x → r) → r → NS f xs → NS g xs → r
ccompare_SOP ∷ ∀ k (c ∷ k → Constraint) proxy r (f ∷ k → Type) (g ∷ k → Type) (xss ∷ [[k]]). All2 c xss ⇒ proxy c → r → (∀ (xs ∷ [k]). All c xs ⇒ NP f xs → NP g xs → r) → r → SOP f xss → SOP g xss → r
compare_NS ∷ ∀ k r f g (xs ∷ [k]). r → (∀ (x ∷ k). f x → g x → r) → r → NS f xs → NS g xs → r
compare_SOP ∷ ∀ k r (f ∷ k → Type) (g ∷ k → Type) (xss ∷ [[k]]). r → (∀ (xs ∷ [k]). NP f xs → NP g xs → r) → r → SOP f xss → SOP g xss → r
shift ∷ ∀ a1 (f ∷ a1 → Type) (xs ∷ [a1]) (a2 ∷ a1) (x ∷ a1). Injection f xs a2 → Injection f (x ': xs) a2
unSOP ∷ ∀ k (f ∷ k → Type) (xss ∷ [[k]]). SOP f xss → NS (NP f) xss
case_SList ∷ ∀ k (xs ∷ [k]) r. SListI xs ⇒ r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). SListI ys ⇒ r (y ': ys)) → r xs
lengthSList ∷ ∀ k (xs ∷ [k]) proxy. SListI xs ⇒ proxy xs → Int
para_SList ∷ ∀ k (xs ∷ [k]) r. SListI xs ⇒ r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). SListI ys ⇒ r ys → r (y ': ys)) → r xs
sList ∷ ∀ k (xs ∷ [k]). SListI xs ⇒ SList xs
shape ∷ ∀ k (xs ∷ [k]). SListI xs ⇒ Shape xs
newtype ((f ∷ l → Type) :.: (g ∷ k → l)) (p ∷ k) = Comp (f (g p))
newtype I a = I a
newtype K a (b ∷ k) = K a
newtype ((f ∷ k → Type) -.-> (g ∷ k → Type)) (a ∷ k) = Fn {
- apFn ∷ f a → g a
}
type family CollapseTo (h ∷ (k → Type) → l → Type) x
class (Prod (Prod h) ~ Prod h, HPure (Prod h)) ⇒ HAp (h ∷ (k → Type) → l → Type) where
- hap ∷ ∀ (f ∷ k → Type) (g ∷ k → Type) (xs ∷ l). Prod h (f -.-> g) xs → h f xs → h g xs
class UnProd (Prod h) ~ h ⇒ HApInjs (h ∷ (k → Type) → l → Type) where
- hapInjs ∷ ∀ (xs ∷ l) (f ∷ k → Type). SListIN h xs ⇒ Prod h f xs → [h f xs]
class HCollapse (h ∷ (k → Type) → l → Type) where
- hcollapse ∷ ∀ (xs ∷ l) a. SListIN h xs ⇒ h (K a ∷ k → Type) xs → CollapseTo h a
class HExpand (h ∷ (k → Type) → l → Type) where
- hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod h) xs ⇒ (∀ (x ∷ k). f x) → h f xs → Prod h f xs
- hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod h) c xs ⇒ proxy c → (∀ (x ∷ k). c x ⇒ f x) → h f xs → Prod h f xs
class HIndex (h ∷ (k → Type) → l → Type) where
- hindex ∷ ∀ (f ∷ k → Type) (xs ∷ l). h f xs → Int
class HPure (h ∷ (k → Type) → l → Type) where
- hpure ∷ ∀ (xs ∷ l) f. SListIN h xs ⇒ (∀ (a ∷ k). f a) → h f xs
- hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN h c xs ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a) → h f xs
class HAp h ⇒ HSequence (h ∷ (k → Type) → l → Type) where
- hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k → Type). (SListIN h xs, Applicative f) ⇒ h (f :.: g) xs → f (h g xs)
- hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN h c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → g (f' a)) → h f xs → g (h f' xs)
- htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN h xs, Applicative g) ⇒ (∀ (a ∷ k). f a → g (f' a)) → h f xs → g (h f' xs)
class ((Same h1 ∷ (k2 → Type) → l2 → Type) ~ h2, (Same h2 ∷ (k1 → Type) → l1 → Type) ~ h1) ⇒ HTrans (h1 ∷ (k1 → Type) → l1 → Type) (h2 ∷ (k2 → Type) → l2 → Type) where
- htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod h1) c xs ys ⇒ proxy c → (∀ (x ∷ k1) (y ∷ k2). c x y ⇒ f x → g y) → h1 f xs → h2 g ys
- hcoerce ∷ ∀ (f ∷ k1 → Type) (g ∷ k2 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod h1) (LiftedCoercible f g) xs ys ⇒ h1 f xs → h2 g ys
class HTraverse_ (h ∷ (k → Type) → l → Type) where
- hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN h c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → g ()) → h f xs → g ()
- htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN h xs, Applicative g) ⇒ (∀ (a ∷ k). f a → g ()) → h f xs → g ()
type family Prod (h ∷ (k → Type) → l → Type) ∷ (k → Type) → l → Type
type family UnProd (h ∷ (k → Type) → l → Type) ∷ (k → Type) → l → Type
class (AllF c xs, SListI xs) ⇒ All (c ∷ k → Constraint) (xs ∷ [k]) where
- cpara_SList ∷ proxy c → r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). (c y, All c ys) ⇒ r ys → r (y ': ys)) → r xs
type All2 (c ∷ k → Constraint) = All (All c)
type family AllN (h ∷ (k → Type) → l → Type) (c ∷ k → Constraint) ∷ l → Constraint
class (SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) ⇒ AllZip (c ∷ a → b → Constraint) (xs ∷ [a]) (ys ∷ [b])
class (AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) ⇒ AllZip2 (f ∷ a → b → Constraint) (xss ∷ [[a]]) (yss ∷ [[b]])
type family AllZipN (h ∷ (k → Type) → l → Type) (c ∷ k1 → k2 → Constraint) ∷ l1 → l2 → Constraint
class (f x, g x) ⇒ And (f ∷ k → Constraint) (g ∷ k → Constraint) (x ∷ k)
class f (g x) ⇒ Compose (f ∷ k → Constraint) (g ∷ k1 → k) (x ∷ k1)
class Coercible (f x) (g y) ⇒ LiftedCoercible (f ∷ k → k1) (g ∷ k2 → k1) (x ∷ k) (y ∷ k2)
type SListI = All (Top ∷ k → Constraint)
type SListI2 = All (SListI ∷ [k] → Constraint)
type family SameShapeAs (xs ∷ [a]) (ys ∷ [b]) where ...
class Top (x ∷ k)
newtype POP (f ∷ k → Type) (xss ∷ [[k]]) = POP (NP (NP f) xss)
type Projection (f ∷ k → Type) (xs ∷ [k]) = (K (NP f xs) ∷ k → Type) -.-> f
newtype SOP (f ∷ k → Type) (xss ∷ [[k]]) = SOP (NS (NP f) xss)
data SList (a ∷ [k]) where
- SNil ∷ ∀ k. SList ('[] ∷ [k])
- SCons ∷ ∀ k (xs ∷ [k]) (x ∷ k). SListI xs ⇒ SList (x ': xs)
data Shape (a ∷ [k]) where
- ShapeNil ∷ ∀ k. Shape ('[] ∷ [k])
- ShapeCons ∷ ∀ k (xs ∷ [k]) (x ∷ k). SListI xs ⇒ Shape xs → Shape (x ': xs)

NP

data NP ∷ (k → Type) → [k] → Type where Source #

Constructors

Nil ∷ NP f '[]
(:*) ∷ !(f x) → !(NP f xs) → NP f (x ': xs) infixr 5

Instances

Instances details

HTrans (NP ∷ (k1 → Type) → [k1] → Type) (NP ∷ (k2 → Type) → [k2] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NP f xs → NP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NP) (LiftedCoercible f g) xs ys ⇒ NP f xs → NP g ys #
HAp (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NP (f -.-> g) xs → NP f xs → NP g xs #
HCollapse (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NP xs ⇒ NP (K a) xs → CollapseTo NP a #
HPure (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hpure ∷ ∀ (xs ∷ l) f. SListIN NP xs ⇒ (∀ (a ∷ k0). f a) → NP f xs # hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN NP c xs ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a) → NP f xs #
HSequence (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NP xs, Applicative f) ⇒ NP (f :.: g) xs → f (NP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NP f xs → g (NP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NP f xs → g (NP f' xs) #
HTraverse_ (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → NP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → NP f xs → g () #
All (Compose Eq f) xs ⇒ Eq (NP f xs) Source #
Instance details Defined in Data.SOP.Strict Methods (==) ∷ NP f xs → NP f xs → Bool Source # (/=) ∷ NP f xs → NP f xs → Bool Source #
(All (Compose Eq f) xs, All (Compose Ord f) xs) ⇒ Ord (NP f xs) Source #
Instance details Defined in Data.SOP.Strict Methods compare ∷ NP f xs → NP f xs → Ordering Source # (<) ∷ NP f xs → NP f xs → Bool Source # (<=) ∷ NP f xs → NP f xs → Bool Source # (>) ∷ NP f xs → NP f xs → Bool Source # (>=) ∷ NP f xs → NP f xs → Bool Source # max ∷ NP f xs → NP f xs → NP f xs Source # min ∷ NP f xs → NP f xs → NP f xs Source #
All (Compose Show f) xs ⇒ Show (NP f xs) Source #	Copied from sop-core Not derived, since derived instance ignores associativity info
Instance details Defined in Data.SOP.Strict Methods showsPrec ∷ Int → NP f xs → ShowS Source # show ∷ NP f xs → String Source # showList ∷ [NP f xs] → ShowS Source #
All (Compose NoThunks f) xs ⇒ NoThunks (NP f xs) Source #
Instance details Defined in Data.SOP.Strict Methods noThunks ∷ Context → NP f xs → IO (Maybe ThunkInfo) # wNoThunks ∷ Context → NP f xs → IO (Maybe ThunkInfo) # showTypeOf ∷ Proxy (NP f xs) → String #
type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint) = AllZip c
type Same (NP ∷ (k1 → Type) → [k1] → Type) Source #
Instance details Defined in Data.SOP.Strict type Same (NP ∷ (k1 → Type) → [k1] → Type) = NP ∷ (k2 → Type) → [k2] → Type
type Prod (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type Prod (NP ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type SListIN (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type SListIN (NP ∷ (k → Type) → [k] → Type) = SListI ∷ [k] → Constraint
type CollapseTo (NP ∷ (k → Type) → [k] → Type) a Source #
Instance details Defined in Data.SOP.Strict type CollapseTo (NP ∷ (k → Type) → [k] → Type) a = [a]
type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c

hd ∷ NP f (x ': xs) → f x Source #

singletonNP ∷ f x → NP f '[x] Source #

tl ∷ NP f (x ': xs) → NP f xs Source #

NS

data NS ∷ (k → Type) → [k] → Type where Source #

Constructors

Z ∷ !(f x) → NS f (x ': xs)
S ∷ !(NS f xs) → NS f (x ': xs)

Instances

Instances details

HTrans (NS ∷ (k1 → Type) → [k1] → Type) (NS ∷ (k2 → Type) → [k2] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NS) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NS f xs → NS g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NS) (LiftedCoercible f g) xs ys ⇒ NS f xs → NS g ys #
HAp (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NS (f -.-> g) xs → NS f xs → NS g xs #
HCollapse (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NS xs ⇒ NS (K a) xs → CollapseTo NS a #
HExpand (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod NS) xs ⇒ (∀ (x ∷ k0). f x) → NS f xs → Prod NS f xs # hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod NS) c xs ⇒ proxy c → (∀ (x ∷ k0). c x ⇒ f x) → NS f xs → Prod NS f xs #
HSequence (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NS xs, Applicative f) ⇒ NS (f :.: g) xs → f (NS g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NS c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NS f xs → g (NS f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NS xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NS f xs → g (NS f' xs) #
All (Compose Eq f) xs ⇒ Eq (NS f xs) Source #
Instance details Defined in Data.SOP.Strict Methods (==) ∷ NS f xs → NS f xs → Bool Source # (/=) ∷ NS f xs → NS f xs → Bool Source #
(All (Compose Eq f) xs, All (Compose Ord f) xs) ⇒ Ord (NS f xs) Source #
Instance details Defined in Data.SOP.Strict Methods compare ∷ NS f xs → NS f xs → Ordering Source # (<) ∷ NS f xs → NS f xs → Bool Source # (<=) ∷ NS f xs → NS f xs → Bool Source # (>) ∷ NS f xs → NS f xs → Bool Source # (>=) ∷ NS f xs → NS f xs → Bool Source # max ∷ NS f xs → NS f xs → NS f xs Source # min ∷ NS f xs → NS f xs → NS f xs Source #
All (Compose Show f) xs ⇒ Show (NS f xs) Source #
Instance details Defined in Data.SOP.Strict Methods showsPrec ∷ Int → NS f xs → ShowS Source # show ∷ NS f xs → String Source # showList ∷ [NS f xs] → ShowS Source #
All (Compose NoThunks f) xs ⇒ NoThunks (NS f xs) Source #
Instance details Defined in Data.SOP.Strict Methods noThunks ∷ Context → NS f xs → IO (Maybe ThunkInfo) # wNoThunks ∷ Context → NS f xs → IO (Maybe ThunkInfo) # showTypeOf ∷ Proxy (NS f xs) → String #
type Same (NS ∷ (k1 → Type) → [k1] → Type) Source #
Instance details Defined in Data.SOP.Strict type Same (NS ∷ (k1 → Type) → [k1] → Type) = NS ∷ (k2 → Type) → [k2] → Type
type Prod (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type Prod (NS ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type SListIN (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type SListIN (NS ∷ (k → Type) → [k] → Type) = SListI ∷ [k] → Constraint
type CollapseTo (NS ∷ (k → Type) → [k] → Type) a Source #
Instance details Defined in Data.SOP.Strict type CollapseTo (NS ∷ (k → Type) → [k] → Type) a = a
type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c

index_NS ∷ ∀ f xs. NS f xs → Int Source #

unZ ∷ NS f '[x] → f x Source #

Injections

type Injection (f ∷ k → Type) (xs ∷ [k]) = f -.-> K (NS f xs) Source #

injections ∷ ∀ xs f. SListI xs ⇒ NP (Injection f xs) xs Source #

Re-exports from `sop-core`

data Proxy (t ∷ k) Source #

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the undefined :: a idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy

>>> Proxy :: Proxy Functor
Proxy

>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy

Instances

Instances details

Generic1 (Proxy ∷ k → Type)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep1 Proxy ∷ k → Type Source # Methods from1 ∷ ∀ (a ∷ k0). Proxy a → Rep1 Proxy a Source # to1 ∷ ∀ (a ∷ k0). Rep1 Proxy a → Proxy a Source #
SemialignWithIndex Void (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods ialignWith ∷ (Void → These a b → c) → Proxy a → Proxy b → Proxy c
ZipWithIndex Void (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods izipWith ∷ (Void → a → b → c) → Proxy a → Proxy b → Proxy c
RepeatWithIndex Void (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods irepeat ∷ (Void → a) → Proxy a
Monad (Proxy ∷ Type → Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (>>=) ∷ Proxy a → (a → Proxy b) → Proxy b Source # (>>) ∷ Proxy a → Proxy b → Proxy b Source # return ∷ a → Proxy a Source #
Functor (Proxy ∷ Type → Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap ∷ (a → b) → Proxy a → Proxy b Source # (<$) ∷ a → Proxy b → Proxy a Source #
Applicative (Proxy ∷ Type → Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods pure ∷ a → Proxy a Source # (<>) ∷ Proxy (a → b) → Proxy a → Proxy b Source # liftA2 ∷ (a → b → c) → Proxy a → Proxy b → Proxy c Source # (>) ∷ Proxy a → Proxy b → Proxy b Source # (<*) ∷ Proxy a → Proxy b → Proxy a Source #
Foldable (Proxy ∷ Type → Type)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold ∷ Monoid m ⇒ Proxy m → m Source # foldMap ∷ Monoid m ⇒ (a → m) → Proxy a → m Source # foldMap' ∷ Monoid m ⇒ (a → m) → Proxy a → m Source # foldr ∷ (a → b → b) → b → Proxy a → b Source # foldr' ∷ (a → b → b) → b → Proxy a → b Source # foldl ∷ (b → a → b) → b → Proxy a → b Source # foldl' ∷ (b → a → b) → b → Proxy a → b Source # foldr1 ∷ (a → a → a) → Proxy a → a Source # foldl1 ∷ (a → a → a) → Proxy a → a Source # toList ∷ Proxy a → [a] Source # null ∷ Proxy a → Bool Source # length ∷ Proxy a → Int Source # elem ∷ Eq a ⇒ a → Proxy a → Bool Source # maximum ∷ Ord a ⇒ Proxy a → a Source # minimum ∷ Ord a ⇒ Proxy a → a Source # sum ∷ Num a ⇒ Proxy a → a Source # product ∷ Num a ⇒ Proxy a → a Source #
Traversable (Proxy ∷ Type → Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse ∷ Applicative f ⇒ (a → f b) → Proxy a → f (Proxy b) Source # sequenceA ∷ Applicative f ⇒ Proxy (f a) → f (Proxy a) Source # mapM ∷ Monad m ⇒ (a → m b) → Proxy a → m (Proxy b) Source # sequence ∷ Monad m ⇒ Proxy (m a) → m (Proxy a) Source #
Contravariant (Proxy ∷ Type → Type)
Instance details Defined in Data.Functor.Contravariant Methods contramap ∷ (a → b) → Proxy b → Proxy a Source # (>$) ∷ b → Proxy b → Proxy a Source #
Eq1 (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftEq ∷ (a → b → Bool) → Proxy a → Proxy b → Bool Source #
Ord1 (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftCompare ∷ (a → b → Ordering) → Proxy a → Proxy b → Ordering Source #
Read1 (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftReadsPrec ∷ (Int → ReadS a) → ReadS [a] → Int → ReadS (Proxy a) Source # liftReadList ∷ (Int → ReadS a) → ReadS [a] → ReadS [Proxy a] Source # liftReadPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec (Proxy a) Source # liftReadListPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec [Proxy a] Source #
Show1 (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Functor.Classes Methods liftShowsPrec ∷ (Int → a → ShowS) → ([a] → ShowS) → Int → Proxy a → ShowS Source # liftShowList ∷ (Int → a → ShowS) → ([a] → ShowS) → [Proxy a] → ShowS Source #
Alternative (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods empty ∷ Proxy a Source # (<\|>) ∷ Proxy a → Proxy a → Proxy a Source # some ∷ Proxy a → Proxy [a] Source # many ∷ Proxy a → Proxy [a] Source #
MonadPlus (Proxy ∷ Type → Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods mzero ∷ Proxy a Source # mplus ∷ Proxy a → Proxy a → Proxy a Source #
NFData1 (Proxy ∷ Type → Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf ∷ (a → ()) → Proxy a → () Source #
Hashable1 (Proxy ∷ Type → Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt ∷ (Int → a → Int) → Int → Proxy a → Int
Align (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods nil ∷ Proxy a
Semialign (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods align ∷ Proxy a → Proxy b → Proxy (These a b) alignWith ∷ (These a b → c) → Proxy a → Proxy b → Proxy c
Zip (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods zip ∷ Proxy a → Proxy b → Proxy (a, b) zipWith ∷ (a → b → c) → Proxy a → Proxy b → Proxy c
Unalign (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods unalign ∷ Proxy (These a b) → (Proxy a, Proxy b) unalignWith ∷ (c → These a b) → Proxy c → (Proxy a, Proxy b)
Repeat (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods repeat ∷ a → Proxy a
Unzip (Proxy ∷ Type → Type)
Instance details Defined in Data.Semialign.Internal Methods unzipWith ∷ (c → (a, b)) → Proxy c → (Proxy a, Proxy b) unzip ∷ Proxy (a, b) → (Proxy a, Proxy b)
Bounded (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods minBound ∷ Proxy t Source # maxBound ∷ Proxy t Source #
Enum (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods succ ∷ Proxy s → Proxy s Source # pred ∷ Proxy s → Proxy s Source # toEnum ∷ Int → Proxy s Source # fromEnum ∷ Proxy s → Int Source # enumFrom ∷ Proxy s → [Proxy s] Source # enumFromThen ∷ Proxy s → Proxy s → [Proxy s] Source # enumFromTo ∷ Proxy s → Proxy s → [Proxy s] Source # enumFromThenTo ∷ Proxy s → Proxy s → Proxy s → [Proxy s] Source #
Eq (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (==) ∷ Proxy s → Proxy s → Bool Source # (/=) ∷ Proxy s → Proxy s → Bool Source #
Ord (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods compare ∷ Proxy s → Proxy s → Ordering Source # (<) ∷ Proxy s → Proxy s → Bool Source # (<=) ∷ Proxy s → Proxy s → Bool Source # (>) ∷ Proxy s → Proxy s → Bool Source # (>=) ∷ Proxy s → Proxy s → Bool Source # max ∷ Proxy s → Proxy s → Proxy s Source # min ∷ Proxy s → Proxy s → Proxy s Source #
Read (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods readsPrec ∷ Int → ReadS (Proxy t) Source # readList ∷ ReadS [Proxy t] Source # readPrec ∷ ReadPrec (Proxy t) Source # readListPrec ∷ ReadPrec [Proxy t] Source #
Show (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec ∷ Int → Proxy s → ShowS Source # show ∷ Proxy s → String Source # showList ∷ [Proxy s] → ShowS Source #
Ix (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods range ∷ (Proxy s, Proxy s) → [Proxy s] Source # index ∷ (Proxy s, Proxy s) → Proxy s → Int Source # unsafeIndex ∷ (Proxy s, Proxy s) → Proxy s → Int Source # inRange ∷ (Proxy s, Proxy s) → Proxy s → Bool Source # rangeSize ∷ (Proxy s, Proxy s) → Int Source # unsafeRangeSize ∷ (Proxy s, Proxy s) → Int Source #
Generic (Proxy t)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep (Proxy t) ∷ Type → Type Source # Methods from ∷ Proxy t → Rep (Proxy t) x Source # to ∷ Rep (Proxy t) x → Proxy t Source #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) ∷ Proxy s → Proxy s → Proxy s Source # sconcat ∷ NonEmpty (Proxy s) → Proxy s Source # stimes ∷ Integral b ⇒ b → Proxy s → Proxy s Source #
Monoid (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods mempty ∷ Proxy s Source # mappend ∷ Proxy s → Proxy s → Proxy s Source # mconcat ∷ [Proxy s] → Proxy s Source #
NFData (Proxy a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf ∷ Proxy a → () Source #
Hashable (Proxy a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt ∷ Int → Proxy a → Int hash ∷ Proxy a → Int
Serialise (Proxy a)
Instance details Defined in Codec.Serialise.Class Methods encode ∷ Proxy a → Encoding # decode ∷ Decoder s (Proxy a) # encodeList ∷ [Proxy a] → Encoding # decodeList ∷ Decoder s [Proxy a] #
type Rep1 (Proxy ∷ k → Type)
Instance details Defined in GHC.Generics type Rep1 (Proxy ∷ k → Type) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 ∷ k → Type))
type Rep (Proxy t)
Instance details Defined in GHC.Generics type Rep (Proxy t) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 ∷ Type → Type))

mapII ∷ (a → b) → I a → I b #

mapIII ∷ (a → b → c) → I a → I b → I c #

mapIIK ∷ ∀ k a b c (d ∷ k). (a → b → c) → I a → I b → K c d #

mapIK ∷ ∀ k a b (c ∷ k). (a → b) → I a → K b c #

mapIKI ∷ ∀ k a b c (d ∷ k). (a → b → c) → I a → K b d → I c #

mapIKK ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → I a → K b d → K c e #

mapKI ∷ ∀ k a b (c ∷ k). (a → b) → K a c → I b #

mapKII ∷ ∀ k a b c (d ∷ k). (a → b → c) → K a d → I b → I c #

mapKIK ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → K a d → I b → K c e #

mapKK ∷ ∀ k1 k2 a b (c ∷ k1) (d ∷ k2). (a → b) → K a c → K b d #

mapKKI ∷ ∀ k1 k2 a b c (d ∷ k1) (e ∷ k2). (a → b → c) → K a d → K b e → I c #

mapKKK ∷ ∀ k1 k2 k3 a b c (d ∷ k1) (e ∷ k2) (f ∷ k3). (a → b → c) → K a d → K b e → K c f #

unComp ∷ ∀ l k f (g ∷ k → l) (p ∷ k). (f :.: g) p → f (g p) #

unI ∷ I a → a #

unK ∷ ∀ k a (b ∷ k). K a b → a #

fn ∷ ∀ k f (a ∷ k) f'. (f a → f' a) → (f -.-> f') a #

fn_2 ∷ ∀ k f (a ∷ k) f' f''. (f a → f' a → f'' a) → (f -.-> (f' -.-> f'')) a #

fn_3 ∷ ∀ k f (a ∷ k) f' f'' f'''. (f a → f' a → f'' a → f''' a) → (f -.-> (f' -.-> (f'' -.-> f'''))) a #

fn_4 ∷ ∀ k f (a ∷ k) f' f'' f''' f''''. (f a → f' a → f'' a → f''' a → f'''' a) → (f -.-> (f' -.-> (f'' -.-> (f''' -.-> f'''')))) a #

hcfoldMap ∷ ∀ k l h c (xs ∷ l) m proxy f. (HTraverse_ h, AllN h c xs, Monoid m) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → m) → h f xs → m #

hcfor ∷ ∀ l h c (xs ∷ l) g proxy f. (HSequence h, AllN h c xs, Applicative g) ⇒ proxy c → h f xs → (∀ a. c a ⇒ f a → g a) → g (h I xs) #

hcfor_ ∷ ∀ k l h c (xs ∷ l) g proxy f. (HTraverse_ h, AllN h c xs, Applicative g) ⇒ proxy c → h f xs → (∀ (a ∷ k). c a ⇒ f a → g ()) → g () #

hcliftA ∷ ∀ k l h c (xs ∷ l) proxy f f'. (AllN (Prod h) c xs, HAp h) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a) → h f xs → h f' xs #

hcliftA2 ∷ ∀ k l h c (xs ∷ l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs #

hcliftA3 ∷ ∀ k l h c (xs ∷ l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs #

hcmap ∷ ∀ k l h c (xs ∷ l) proxy f f'. (AllN (Prod h) c xs, HAp h) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a) → h f xs → h f' xs #

hctraverse ∷ ∀ l h c (xs ∷ l) g proxy f. (HSequence h, AllN h c xs, Applicative g) ⇒ proxy c → (∀ a. c a ⇒ f a → g a) → h f xs → g (h I xs) #

hczipWith ∷ ∀ k l h c (xs ∷ l) proxy f f' f''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs #

hczipWith3 ∷ ∀ k l h c (xs ∷ l) proxy f f' f'' f'''. (AllN (Prod h) c xs, HAp h, HAp (Prod h)) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs #

hfromI ∷ ∀ l1 k2 l2 h1 (f ∷ k2 → Type) (xs ∷ l1) (ys ∷ l2) h2. (AllZipN (Prod h1) (LiftedCoercible I f) xs ys, HTrans h1 h2) ⇒ h1 I xs → h2 f ys #

hliftA ∷ ∀ k l h (xs ∷ l) f f'. (SListIN (Prod h) xs, HAp h) ⇒ (∀ (a ∷ k). f a → f' a) → h f xs → h f' xs #

hliftA2 ∷ ∀ k l h (xs ∷ l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs #

hliftA3 ∷ ∀ k l h (xs ∷ l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs #

hmap ∷ ∀ k l h (xs ∷ l) f f'. (SListIN (Prod h) xs, HAp h) ⇒ (∀ (a ∷ k). f a → f' a) → h f xs → h f' xs #

hsequence ∷ ∀ l h (xs ∷ l) f. (SListIN h xs, SListIN (Prod h) xs, HSequence h, Applicative f) ⇒ h f xs → f (h I xs) #

hsequenceK ∷ ∀ k l h (xs ∷ l) f a. (SListIN h xs, SListIN (Prod h) xs, Applicative f, HSequence h) ⇒ h (K (f a) ∷ k → Type) xs → f (h (K a ∷ k → Type) xs) #

htoI ∷ ∀ k1 l1 l2 h1 (f ∷ k1 → Type) (xs ∷ l1) (ys ∷ l2) h2. (AllZipN (Prod h1) (LiftedCoercible f I) xs ys, HTrans h1 h2) ⇒ h1 f xs → h2 I ys #

hzipWith ∷ ∀ k l h (xs ∷ l) f f' f''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a) → Prod h f xs → h f' xs → h f'' xs #

hzipWith3 ∷ ∀ k l h (xs ∷ l) f f' f'' f'''. (SListIN (Prod h) xs, HAp h, HAp (Prod h)) ⇒ (∀ (a ∷ k). f a → f' a → f'' a → f''' a) → Prod h f xs → Prod h f' xs → h f'' xs → h f''' xs #

ccase_SList ∷ ∀ k c (xs ∷ [k]) proxy r. All c xs ⇒ proxy c → r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). (c y, All c ys) ⇒ r (y ': ys)) → r xs #

fromList ∷ ∀ k (xs ∷ [k]) a. SListI xs ⇒ [a] → Maybe (NP (K a ∷ k → Type) xs) #

hcliftA' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f'. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs) → h f xss → h f' xss #

hcliftA2' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f' f''. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs → f'' xs) → Prod h f xss → h f' xss → h f'' xss #

hcliftA3' ∷ ∀ k (c ∷ k → Constraint) (xss ∷ [[k]]) h proxy f f' f'' f'''. (All2 c xss, Prod h ~ (NP ∷ ([k] → Type) → [[k]] → Type), HAp h) ⇒ proxy c → (∀ (xs ∷ [k]). All c xs ⇒ f xs → f' xs → f'' xs → f''' xs) → Prod h f xss → Prod h f' xss → h f'' xss → h f''' xss #

projections ∷ ∀ k (xs ∷ [k]) (f ∷ k → Type). SListI xs ⇒ NP (Projection f xs) xs #

shiftProjection ∷ ∀ a1 (f ∷ a1 → Type) (xs ∷ [a1]) (a2 ∷ a1) (x ∷ a1). Projection f xs a2 → Projection f (x ': xs) a2 #

unPOP ∷ ∀ k (f ∷ k → Type) (xss ∷ [[k]]). POP f xss → NP (NP f) xss #

apInjs_NP ∷ ∀ k (xs ∷ [k]) (f ∷ k → Type). SListI xs ⇒ NP f xs → [NS f xs] #

apInjs_POP ∷ ∀ k (xss ∷ [[k]]) (f ∷ k → Type). SListI xss ⇒ POP f xss → [SOP f xss] #

ccompare_NS ∷ ∀ k c proxy r f g (xs ∷ [k]). All c xs ⇒ proxy c → r → (∀ (x ∷ k). c x ⇒ f x → g x → r) → r → NS f xs → NS g xs → r #

ccompare_SOP ∷ ∀ k (c ∷ k → Constraint) proxy r (f ∷ k → Type) (g ∷ k → Type) (xss ∷ [[k]]). All2 c xss ⇒ proxy c → r → (∀ (xs ∷ [k]). All c xs ⇒ NP f xs → NP g xs → r) → r → SOP f xss → SOP g xss → r #

compare_NS ∷ ∀ k r f g (xs ∷ [k]). r → (∀ (x ∷ k). f x → g x → r) → r → NS f xs → NS g xs → r #

compare_SOP ∷ ∀ k r (f ∷ k → Type) (g ∷ k → Type) (xss ∷ [[k]]). r → (∀ (xs ∷ [k]). NP f xs → NP g xs → r) → r → SOP f xss → SOP g xss → r #

shift ∷ ∀ a1 (f ∷ a1 → Type) (xs ∷ [a1]) (a2 ∷ a1) (x ∷ a1). Injection f xs a2 → Injection f (x ': xs) a2 #

unSOP ∷ ∀ k (f ∷ k → Type) (xss ∷ [[k]]). SOP f xss → NS (NP f) xss #

case_SList ∷ ∀ k (xs ∷ [k]) r. SListI xs ⇒ r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). SListI ys ⇒ r (y ': ys)) → r xs #

lengthSList ∷ ∀ k (xs ∷ [k]) proxy. SListI xs ⇒ proxy xs → Int #

para_SList ∷ ∀ k (xs ∷ [k]) r. SListI xs ⇒ r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). SListI ys ⇒ r ys → r (y ': ys)) → r xs #

sList ∷ ∀ k (xs ∷ [k]). SListI xs ⇒ SList xs #

shape ∷ ∀ k (xs ∷ [k]). SListI xs ⇒ Shape xs #

newtype ((f ∷ l → Type) :.: (g ∷ k → l)) (p ∷ k) #

Constructors

Comp (f (g p))

Instances

Instances details

DecodeDisk blk (a → f blk) ⇒ DecodeDisk blk ((((->) a ∷ Type → Type) :.: f) blk) Source #
Instance details Defined in Ouroboros.Consensus.Storage.Serialisation Methods decodeDisk ∷ CodecConfig blk → ∀ s. Decoder s (((->) a :.: f) blk) Source #
(Functor f, Functor g) ⇒ Functor (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods fmap ∷ (a → b) → (f :.: g) a → (f :.: g) b Source # (<$) ∷ a → (f :.: g) b → (f :.: g) a Source #
(Applicative f, Applicative g) ⇒ Applicative (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods pure ∷ a → (f :.: g) a Source # (<>) ∷ (f :.: g) (a → b) → (f :.: g) a → (f :.: g) b Source # liftA2 ∷ (a → b → c) → (f :.: g) a → (f :.: g) b → (f :.: g) c Source # (>) ∷ (f :.: g) a → (f :.: g) b → (f :.: g) b Source # (<*) ∷ (f :.: g) a → (f :.: g) b → (f :.: g) a Source #
(Foldable f, Foldable g) ⇒ Foldable (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods fold ∷ Monoid m ⇒ (f :.: g) m → m Source # foldMap ∷ Monoid m ⇒ (a → m) → (f :.: g) a → m Source # foldMap' ∷ Monoid m ⇒ (a → m) → (f :.: g) a → m Source # foldr ∷ (a → b → b) → b → (f :.: g) a → b Source # foldr' ∷ (a → b → b) → b → (f :.: g) a → b Source # foldl ∷ (b → a → b) → b → (f :.: g) a → b Source # foldl' ∷ (b → a → b) → b → (f :.: g) a → b Source # foldr1 ∷ (a → a → a) → (f :.: g) a → a Source # foldl1 ∷ (a → a → a) → (f :.: g) a → a Source # toList ∷ (f :.: g) a → [a] Source # null ∷ (f :.: g) a → Bool Source # length ∷ (f :.: g) a → Int Source # elem ∷ Eq a ⇒ a → (f :.: g) a → Bool Source # maximum ∷ Ord a ⇒ (f :.: g) a → a Source # minimum ∷ Ord a ⇒ (f :.: g) a → a Source # sum ∷ Num a ⇒ (f :.: g) a → a Source # product ∷ Num a ⇒ (f :.: g) a → a Source #
(Traversable f, Traversable g) ⇒ Traversable (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods traverse ∷ Applicative f0 ⇒ (a → f0 b) → (f :.: g) a → f0 ((f :.: g) b) Source # sequenceA ∷ Applicative f0 ⇒ (f :.: g) (f0 a) → f0 ((f :.: g) a) Source # mapM ∷ Monad m ⇒ (a → m b) → (f :.: g) a → m ((f :.: g) b) Source # sequence ∷ Monad m ⇒ (f :.: g) (m a) → m ((f :.: g) a) Source #
(Eq1 f, Eq1 g) ⇒ Eq1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq ∷ (a → b → Bool) → (f :.: g) a → (f :.: g) b → Bool Source #
(Ord1 f, Ord1 g) ⇒ Ord1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare ∷ (a → b → Ordering) → (f :.: g) a → (f :.: g) b → Ordering Source #
(Read1 f, Read1 g) ⇒ Read1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec ∷ (Int → ReadS a) → ReadS [a] → Int → ReadS ((f :.: g) a) Source # liftReadList ∷ (Int → ReadS a) → ReadS [a] → ReadS [(f :.: g) a] Source # liftReadPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec ((f :.: g) a) Source # liftReadListPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec [(f :.: g) a] Source #
(Show1 f, Show1 g) ⇒ Show1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec ∷ (Int → a → ShowS) → ([a] → ShowS) → Int → (f :.: g) a → ShowS Source # liftShowList ∷ (Int → a → ShowS) → ([a] → ShowS) → [(f :.: g) a] → ShowS Source #
(NFData1 f, NFData1 g) ⇒ NFData1 (f :.: g)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf ∷ (a → ()) → (f :.: g) a → () Source #
Isomorphic (Ticked :.: LedgerState) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Embed.Unary Methods project ∷ NoHardForks blk ⇒ (Ticked :.: LedgerState) (HardForkBlock '[blk]) → (Ticked :.: LedgerState) blk Source # inject ∷ NoHardForks blk ⇒ (Ticked :.: LedgerState) blk → (Ticked :.: LedgerState) (HardForkBlock '[blk]) Source #
(Eq1 f, Eq1 g, Eq a) ⇒ Eq ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) ∷ (f :.: g) a → (f :.: g) a → Bool Source # (/=) ∷ (f :.: g) a → (f :.: g) a → Bool Source #
(Ord1 f, Ord1 g, Ord a) ⇒ Ord ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods compare ∷ (f :.: g) a → (f :.: g) a → Ordering Source # (<) ∷ (f :.: g) a → (f :.: g) a → Bool Source # (<=) ∷ (f :.: g) a → (f :.: g) a → Bool Source # (>) ∷ (f :.: g) a → (f :.: g) a → Bool Source # (>=) ∷ (f :.: g) a → (f :.: g) a → Bool Source # max ∷ (f :.: g) a → (f :.: g) a → (f :.: g) a Source # min ∷ (f :.: g) a → (f :.: g) a → (f :.: g) a Source #
(Read1 f, Read1 g, Read a) ⇒ Read ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec ∷ Int → ReadS ((f :.: g) a) Source # readList ∷ ReadS [(f :.: g) a] Source # readPrec ∷ ReadPrec ((f :.: g) a) Source # readListPrec ∷ ReadPrec [(f :.: g) a] Source #
(Show1 f, Show1 g, Show a) ⇒ Show ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec ∷ Int → (f :.: g) a → ShowS Source # show ∷ (f :.: g) a → String Source # showList ∷ [(f :.: g) a] → ShowS Source #
Show (Ticked (f a)) ⇒ Show ((Ticked :.: f) a) Source #
Instance details Defined in Ouroboros.Consensus.Ticked Methods showsPrec ∷ Int → (Ticked :.: f) a → ShowS Source # show ∷ (Ticked :.: f) a → String Source # showList ∷ [(Ticked :.: f) a] → ShowS Source #
Generic ((f :.: g) p)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep ((f :.: g) p) ∷ Type → Type Source # Methods from ∷ (f :.: g) p → Rep ((f :.: g) p) x Source # to ∷ Rep ((f :.: g) p) x → (f :.: g) p Source #
Semigroup (f (g x)) ⇒ Semigroup ((f :.: g) x)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) ∷ (f :.: g) x → (f :.: g) x → (f :.: g) x Source # sconcat ∷ NonEmpty ((f :.: g) x) → (f :.: g) x Source # stimes ∷ Integral b ⇒ b → (f :.: g) x → (f :.: g) x Source #
Monoid (f (g x)) ⇒ Monoid ((f :.: g) x)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty ∷ (f :.: g) x Source # mappend ∷ (f :.: g) x → (f :.: g) x → (f :.: g) x Source # mconcat ∷ [(f :.: g) x] → (f :.: g) x Source #
NFData (f (g a)) ⇒ NFData ((f :.: g) a)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf ∷ (f :.: g) a → () Source #
NoThunks (Ticked (f a)) ⇒ NoThunks ((Ticked :.: f) a) Source #
Instance details Defined in Ouroboros.Consensus.Ticked Methods noThunks ∷ Context → (Ticked :.: f) a → IO (Maybe ThunkInfo) # wNoThunks ∷ Context → (Ticked :.: f) a → IO (Maybe ThunkInfo) # showTypeOf ∷ Proxy ((Ticked :.: f) a) → String #
type Rep ((f :.: g) p)
Instance details Defined in Data.SOP.BasicFunctors type Rep ((f :.: g) p) = D1 ('MetaData ":.:" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-68407ec53617cc8fad5e92b1402f6a7972adf819b4824d4db87718a2e6767435" 'True) (C1 ('MetaCons "Comp" 'PrefixI 'False) (S1 ('MetaSel ('Nothing ∷ Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f (g p)))))

newtype I a #

Constructors

I a

Instances

Instances details

Monad I
Instance details Defined in Data.SOP.BasicFunctors Methods (>>=) ∷ I a → (a → I b) → I b Source # (>>) ∷ I a → I b → I b Source # return ∷ a → I a Source #
Functor I
Instance details Defined in Data.SOP.BasicFunctors Methods fmap ∷ (a → b) → I a → I b Source # (<$) ∷ a → I b → I a Source #
Applicative I
Instance details Defined in Data.SOP.BasicFunctors Methods pure ∷ a → I a Source # (<>) ∷ I (a → b) → I a → I b Source # liftA2 ∷ (a → b → c) → I a → I b → I c Source # (>) ∷ I a → I b → I b Source # (<*) ∷ I a → I b → I a Source #
Foldable I
Instance details Defined in Data.SOP.BasicFunctors Methods fold ∷ Monoid m ⇒ I m → m Source # foldMap ∷ Monoid m ⇒ (a → m) → I a → m Source # foldMap' ∷ Monoid m ⇒ (a → m) → I a → m Source # foldr ∷ (a → b → b) → b → I a → b Source # foldr' ∷ (a → b → b) → b → I a → b Source # foldl ∷ (b → a → b) → b → I a → b Source # foldl' ∷ (b → a → b) → b → I a → b Source # foldr1 ∷ (a → a → a) → I a → a Source # foldl1 ∷ (a → a → a) → I a → a Source # toList ∷ I a → [a] Source # null ∷ I a → Bool Source # length ∷ I a → Int Source # elem ∷ Eq a ⇒ a → I a → Bool Source # maximum ∷ Ord a ⇒ I a → a Source # minimum ∷ Ord a ⇒ I a → a Source # sum ∷ Num a ⇒ I a → a Source # product ∷ Num a ⇒ I a → a Source #
Traversable I
Instance details Defined in Data.SOP.BasicFunctors Methods traverse ∷ Applicative f ⇒ (a → f b) → I a → f (I b) Source # sequenceA ∷ Applicative f ⇒ I (f a) → f (I a) Source # mapM ∷ Monad m ⇒ (a → m b) → I a → m (I b) Source # sequence ∷ Monad m ⇒ I (m a) → m (I a) Source #
Eq1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq ∷ (a → b → Bool) → I a → I b → Bool Source #
Ord1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare ∷ (a → b → Ordering) → I a → I b → Ordering Source #
Read1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec ∷ (Int → ReadS a) → ReadS [a] → Int → ReadS (I a) Source # liftReadList ∷ (Int → ReadS a) → ReadS [a] → ReadS [I a] Source # liftReadPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec (I a) Source # liftReadListPrec ∷ ReadPrec a → ReadPrec [a] → ReadPrec [I a] Source #
Show1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec ∷ (Int → a → ShowS) → ([a] → ShowS) → Int → I a → ShowS Source # liftShowList ∷ (Int → a → ShowS) → ([a] → ShowS) → [I a] → ShowS Source #
NFData1 I
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf ∷ (a → ()) → I a → () Source #
Isomorphic I Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Embed.Unary Methods project ∷ NoHardForks blk ⇒ I (HardForkBlock '[blk]) → I blk Source # inject ∷ NoHardForks blk ⇒ I blk → I (HardForkBlock '[blk]) Source #
Inject I Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Embed.Nary Methods inject ∷ ∀ x (xs ∷ [Type]). CanHardFork xs ⇒ Exactly xs Bound → Index xs x → I x → I (HardForkBlock xs) Source #
DecodeDisk blk blk ⇒ DecodeDisk blk (I blk) Source #
Instance details Defined in Ouroboros.Consensus.Storage.Serialisation Methods decodeDisk ∷ CodecConfig blk → ∀ s. Decoder s (I blk) Source #
(DecodeDiskDepIx f blk, DecodeDiskDep f blk) ⇒ DecodeDisk blk (DepPair (f blk)) Source #
Instance details Defined in Ouroboros.Consensus.Storage.Serialisation Methods decodeDisk ∷ CodecConfig blk → ∀ s. Decoder s (DepPair (f blk)) Source #
EncodeDisk blk blk ⇒ EncodeDisk blk (I blk) Source #
Instance details Defined in Ouroboros.Consensus.Storage.Serialisation Methods encodeDisk ∷ CodecConfig blk → I blk → Encoding Source #
(EncodeDiskDepIx f blk, EncodeDiskDep f blk) ⇒ EncodeDisk blk (DepPair (f blk)) Source #
Instance details Defined in Ouroboros.Consensus.Storage.Serialisation Methods encodeDisk ∷ CodecConfig blk → DepPair (f blk) → Encoding Source #
SerialiseNodeToClient blk blk ⇒ SerialiseNodeToClient blk (I blk) Source #
Instance details Defined in Ouroboros.Consensus.Node.Serialisation Methods encodeNodeToClient ∷ CodecConfig blk → BlockNodeToClientVersion blk → I blk → Encoding Source # decodeNodeToClient ∷ CodecConfig blk → BlockNodeToClientVersion blk → ∀ s. Decoder s (I blk) Source #
SerialiseNodeToNode blk blk ⇒ SerialiseNodeToNode blk (I blk) Source #
Instance details Defined in Ouroboros.Consensus.Node.Serialisation Methods encodeNodeToNode ∷ CodecConfig blk → BlockNodeToNodeVersion blk → I blk → Encoding Source # decodeNodeToNode ∷ CodecConfig blk → BlockNodeToNodeVersion blk → ∀ s. Decoder s (I blk) Source #
Eq a ⇒ Eq (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) ∷ I a → I a → Bool Source # (/=) ∷ I a → I a → Bool Source #
Ord a ⇒ Ord (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods compare ∷ I a → I a → Ordering Source # (<) ∷ I a → I a → Bool Source # (<=) ∷ I a → I a → Bool Source # (>) ∷ I a → I a → Bool Source # (>=) ∷ I a → I a → Bool Source # max ∷ I a → I a → I a Source # min ∷ I a → I a → I a Source #
Read a ⇒ Read (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec ∷ Int → ReadS (I a) Source # readList ∷ ReadS [I a] Source # readPrec ∷ ReadPrec (I a) Source # readListPrec ∷ ReadPrec [I a] Source #
Show a ⇒ Show (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec ∷ Int → I a → ShowS Source # show ∷ I a → String Source # showList ∷ [I a] → ShowS Source #
Generic (I a)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (I a) ∷ Type → Type Source # Methods from ∷ I a → Rep (I a) x Source # to ∷ Rep (I a) x → I a Source #
Semigroup a ⇒ Semigroup (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) ∷ I a → I a → I a Source # sconcat ∷ NonEmpty (I a) → I a Source # stimes ∷ Integral b ⇒ b → I a → I a Source #
Monoid a ⇒ Monoid (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty ∷ I a Source # mappend ∷ I a → I a → I a Source # mconcat ∷ [I a] → I a Source #
NFData a ⇒ NFData (I a)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf ∷ I a → () Source #
Condense a ⇒ Condense (I a) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Condense Methods condense ∷ I a → String Source #
type Rep (I a)
Instance details Defined in Data.SOP.BasicFunctors type Rep (I a) = D1 ('MetaData "I" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-68407ec53617cc8fad5e92b1402f6a7972adf819b4824d4db87718a2e6767435" 'True) (C1 ('MetaCons "I" 'PrefixI 'False) (S1 ('MetaSel ('Nothing ∷ Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

newtype K a (b ∷ k) #

Constructors

K a

Instances

Instances details

Show (Ticked a) ⇒ Show (Ticked (K a x)) Source #
Instance details Defined in Ouroboros.Consensus.Ticked Methods showsPrec ∷ Int → Ticked (K a x) → ShowS Source # show ∷ Ticked (K a x) → String Source # showList ∷ [Ticked (K a x)] → ShowS Source #
(SListI xs, Show (Ticked a)) ⇒ Show (Ticked (HardForkLedgerView_ (K a ∷ Type → Type) xs)) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Protocol.LedgerView Methods showsPrec ∷ Int → Ticked (HardForkLedgerView_ (K a) xs) → ShowS Source # show ∷ Ticked (HardForkLedgerView_ (K a) xs) → String Source # showList ∷ [Ticked (HardForkLedgerView_ (K a) xs)] → ShowS Source #
Eq2 (K ∷ Type → Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq2 ∷ (a → b → Bool) → (c → d → Bool) → K a c → K b d → Bool Source #
Ord2 (K ∷ Type → Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare2 ∷ (a → b → Ordering) → (c → d → Ordering) → K a c → K b d → Ordering Source #
Read2 (K ∷ Type → Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec2 ∷ (Int → ReadS a) → ReadS [a] → (Int → ReadS b) → ReadS [b] → Int → ReadS (K a b) Source # liftReadList2 ∷ (Int → ReadS a) → ReadS [a] → (Int → ReadS b) → ReadS [b] → ReadS [K a b] Source # liftReadPrec2 ∷ ReadPrec a → ReadPrec [a] → ReadPrec b → ReadPrec [b] → ReadPrec (K a b) Source # liftReadListPrec2 ∷ ReadPrec a → ReadPrec [a] → ReadPrec b → ReadPrec [b] → ReadPrec [K a b] Source #
Show2 (K ∷ Type → Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec2 ∷ (Int → a → ShowS) → ([a] → ShowS) → (Int → b → ShowS) → ([b] → ShowS) → Int → K a b → ShowS Source # liftShowList2 ∷ (Int → a → ShowS) → ([a] → ShowS) → (Int → b → ShowS) → ([b] → ShowS) → [K a b] → ShowS Source #
NFData2 (K ∷ Type → Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf2 ∷ (a → ()) → (b → ()) → K a b → () Source #
Functor (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods fmap ∷ (a0 → b) → K a a0 → K a b Source # (<$) ∷ a0 → K a b → K a a0 Source #
(SListI xs, Show a) ⇒ Show (HardForkLedgerView_ (K a ∷ Type → Type) xs) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Protocol.LedgerView Methods showsPrec ∷ Int → HardForkLedgerView_ (K a) xs → ShowS Source # show ∷ HardForkLedgerView_ (K a) xs → String Source # showList ∷ [HardForkLedgerView_ (K a) xs] → ShowS Source #
Monoid a ⇒ Applicative (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods pure ∷ a0 → K a a0 Source # (<>) ∷ K a (a0 → b) → K a a0 → K a b Source # liftA2 ∷ (a0 → b → c) → K a a0 → K a b → K a c Source # (>) ∷ K a a0 → K a b → K a b Source # (<*) ∷ K a a0 → K a b → K a a0 Source #
Foldable (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods fold ∷ Monoid m ⇒ K a m → m Source # foldMap ∷ Monoid m ⇒ (a0 → m) → K a a0 → m Source # foldMap' ∷ Monoid m ⇒ (a0 → m) → K a a0 → m Source # foldr ∷ (a0 → b → b) → b → K a a0 → b Source # foldr' ∷ (a0 → b → b) → b → K a a0 → b Source # foldl ∷ (b → a0 → b) → b → K a a0 → b Source # foldl' ∷ (b → a0 → b) → b → K a a0 → b Source # foldr1 ∷ (a0 → a0 → a0) → K a a0 → a0 Source # foldl1 ∷ (a0 → a0 → a0) → K a a0 → a0 Source # toList ∷ K a a0 → [a0] Source # null ∷ K a a0 → Bool Source # length ∷ K a a0 → Int Source # elem ∷ Eq a0 ⇒ a0 → K a a0 → Bool Source # maximum ∷ Ord a0 ⇒ K a a0 → a0 Source # minimum ∷ Ord a0 ⇒ K a a0 → a0 Source # sum ∷ Num a0 ⇒ K a a0 → a0 Source # product ∷ Num a0 ⇒ K a a0 → a0 Source #
Traversable (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods traverse ∷ Applicative f ⇒ (a0 → f b) → K a a0 → f (K a b) Source # sequenceA ∷ Applicative f ⇒ K a (f a0) → f (K a a0) Source # mapM ∷ Monad m ⇒ (a0 → m b) → K a a0 → m (K a b) Source # sequence ∷ Monad m ⇒ K a (m a0) → m (K a a0) Source #
Eq a ⇒ Eq1 (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftEq ∷ (a0 → b → Bool) → K a a0 → K a b → Bool Source #
Ord a ⇒ Ord1 (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftCompare ∷ (a0 → b → Ordering) → K a a0 → K a b → Ordering Source #
Read a ⇒ Read1 (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftReadsPrec ∷ (Int → ReadS a0) → ReadS [a0] → Int → ReadS (K a a0) Source # liftReadList ∷ (Int → ReadS a0) → ReadS [a0] → ReadS [K a a0] Source # liftReadPrec ∷ ReadPrec a0 → ReadPrec [a0] → ReadPrec (K a a0) Source # liftReadListPrec ∷ ReadPrec a0 → ReadPrec [a0] → ReadPrec [K a a0] Source #
Show a ⇒ Show1 (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftShowsPrec ∷ (Int → a0 → ShowS) → ([a0] → ShowS) → Int → K a a0 → ShowS Source # liftShowList ∷ (Int → a0 → ShowS) → ([a0] → ShowS) → [K a a0] → ShowS Source #
NFData a ⇒ NFData1 (K a ∷ Type → Type)
Instance details Defined in Data.SOP.BasicFunctors Methods liftRnf ∷ (a0 → ()) → K a a0 → () Source #
Eq a ⇒ Eq (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods (==) ∷ K a b → K a b → Bool Source # (/=) ∷ K a b → K a b → Bool Source #
Ord a ⇒ Ord (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods compare ∷ K a b → K a b → Ordering Source # (<) ∷ K a b → K a b → Bool Source # (<=) ∷ K a b → K a b → Bool Source # (>) ∷ K a b → K a b → Bool Source # (>=) ∷ K a b → K a b → Bool Source # max ∷ K a b → K a b → K a b Source # min ∷ K a b → K a b → K a b Source #
Read a ⇒ Read (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods readsPrec ∷ Int → ReadS (K a b) Source # readList ∷ ReadS [K a b] Source # readPrec ∷ ReadPrec (K a b) Source # readListPrec ∷ ReadPrec [K a b] Source #
Show a ⇒ Show (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods showsPrec ∷ Int → K a b → ShowS Source # show ∷ K a b → String Source # showList ∷ [K a b] → ShowS Source #
Generic (K a b)
Instance details Defined in Data.SOP.BasicFunctors Associated Types type Rep (K a b) ∷ Type → Type Source # Methods from ∷ K a b → Rep (K a b) x Source # to ∷ Rep (K a b) x → K a b Source #
Semigroup a ⇒ Semigroup (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods (<>) ∷ K a b → K a b → K a b Source # sconcat ∷ NonEmpty (K a b) → K a b Source # stimes ∷ Integral b0 ⇒ b0 → K a b → K a b Source #
Monoid a ⇒ Monoid (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods mempty ∷ K a b Source # mappend ∷ K a b → K a b → K a b Source # mconcat ∷ [K a b] → K a b Source #
NFData a ⇒ NFData (K a b)
Instance details Defined in Data.SOP.BasicFunctors Methods rnf ∷ K a b → () Source #
NoThunks a ⇒ NoThunks (K a b) Source #
Instance details Defined in Ouroboros.Consensus.Util.Orphans Methods noThunks ∷ Context → K a b → IO (Maybe ThunkInfo) # wNoThunks ∷ Context → K a b → IO (Maybe ThunkInfo) # showTypeOf ∷ Proxy (K a b) → String #
type Rep (K a b)
Instance details Defined in Data.SOP.BasicFunctors type Rep (K a b) = D1 ('MetaData "K" "Data.SOP.BasicFunctors" "sop-core-0.5.0.2-68407ec53617cc8fad5e92b1402f6a7972adf819b4824d4db87718a2e6767435" 'True) (C1 ('MetaCons "K" 'PrefixI 'False) (S1 ('MetaSel ('Nothing ∷ Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))
newtype Ticked (K a x) Source #
Instance details Defined in Ouroboros.Consensus.Ticked newtype Ticked (K a x) = TickedK { getTickedK ∷ Ticked a }

newtype ((f ∷ k → Type) -.-> (g ∷ k → Type)) (a ∷ k) #

Constructors

Fn
Fields apFn ∷ f a → g a

type family CollapseTo (h ∷ (k → Type) → l → Type) x #

Instances

Instances details

type CollapseTo (NP ∷ (k → Type) → [k] → Type) a Source #
Instance details Defined in Data.SOP.Strict type CollapseTo (NP ∷ (k → Type) → [k] → Type) a = [a]
type CollapseTo (NS ∷ (k → Type) → [k] → Type) a Source #
Instance details Defined in Data.SOP.Strict type CollapseTo (NS ∷ (k → Type) → [k] → Type) a = a
type CollapseTo (NS ∷ (k → Type) → [k] → Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (NS ∷ (k → Type) → [k] → Type) a = a
type CollapseTo (SOP ∷ (k → Type) → [[k]] → Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (SOP ∷ (k → Type) → [[k]] → Type) a = [a]
type CollapseTo (NP ∷ (k → Type) → [k] → Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (NP ∷ (k → Type) → [k] → Type) a = [a]
type CollapseTo (POP ∷ (k → Type) → [[k]] → Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (POP ∷ (k → Type) → [[k]] → Type) a = [[a]]
type CollapseTo (SimpleTelescope ∷ (k → Type) → [k] → Type) a Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope type CollapseTo (SimpleTelescope ∷ (k → Type) → [k] → Type) a = [a]
type CollapseTo HardForkState a Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances type CollapseTo HardForkState a = a

class (Prod (Prod h) ~ Prod h, HPure (Prod h)) ⇒ HAp (h ∷ (k → Type) → l → Type) where #

Methods

hap ∷ ∀ (f ∷ k → Type) (g ∷ k → Type) (xs ∷ l). Prod h (f -.-> g) xs → h f xs → h g xs #

Instances

Instances details

HAp (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NP (f -.-> g) xs → NP f xs → NP g xs #
HAp (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NS (f -.-> g) xs → NS f xs → NS g xs #
HAp (SimpleTelescope ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod SimpleTelescope (f -.-> g) xs → SimpleTelescope f xs → SimpleTelescope g xs #
HAp (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NP (f -.-> g) xs → NP f xs → NP g xs #
HAp (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod SOP (f -.-> g) xs → SOP f xs → SOP g xs #
HAp (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod NS (f -.-> g) xs → NS f xs → NS g xs #
HAp (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod POP (f -.-> g) xs → POP f xs → POP g xs #
HAp (OptNP empty ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.Util.OptNP Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod (OptNP empty) (f -.-> g) xs → OptNP empty f xs → OptNP empty g xs #
HAp (Telescope g ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hap ∷ ∀ (f ∷ k0 → Type) (g0 ∷ k0 → Type) (xs ∷ l). Prod (Telescope g) (f -.-> g0) xs → Telescope g f xs → Telescope g g0 xs #
HAp (Mismatch f ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Match Methods hap ∷ ∀ (f0 ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod (Mismatch f) (f0 -.-> g) xs → Mismatch f f0 xs → Mismatch f g xs #
HAp HardForkState Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances Methods hap ∷ ∀ (f ∷ k → Type) (g ∷ k → Type) (xs ∷ l). Prod HardForkState (f -.-> g) xs → HardForkState f xs → HardForkState g xs #

class UnProd (Prod h) ~ h ⇒ HApInjs (h ∷ (k → Type) → l → Type) where #

Methods

hapInjs ∷ ∀ (xs ∷ l) (f ∷ k → Type). SListIN h xs ⇒ Prod h f xs → [h f xs] #

Instances

Instances details

HApInjs (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hapInjs ∷ ∀ (xs ∷ l) (f ∷ k0 → Type). SListIN SOP xs ⇒ Prod SOP f xs → [SOP f xs] #
HApInjs (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hapInjs ∷ ∀ (xs ∷ l) (f ∷ k0 → Type). SListIN NS xs ⇒ Prod NS f xs → [NS f xs] #

class HCollapse (h ∷ (k → Type) → l → Type) where #

Methods

hcollapse ∷ ∀ (xs ∷ l) a. SListIN h xs ⇒ h (K a ∷ k → Type) xs → CollapseTo h a #

Instances

Instances details

HCollapse (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NP xs ⇒ NP (K a) xs → CollapseTo NP a #
HCollapse (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NS xs ⇒ NS (K a) xs → CollapseTo NS a #
HCollapse (SimpleTelescope ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN SimpleTelescope xs ⇒ SimpleTelescope (K a) xs → CollapseTo SimpleTelescope a #
HCollapse (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN SOP xs ⇒ SOP (K a) xs → CollapseTo SOP a #
HCollapse (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NS xs ⇒ NS (K a) xs → CollapseTo NS a #
HCollapse (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN POP xs ⇒ POP (K a) xs → CollapseTo POP a #
HCollapse (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN NP xs ⇒ NP (K a) xs → CollapseTo NP a #
HCollapse HardForkState Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN HardForkState xs ⇒ HardForkState (K a) xs → CollapseTo HardForkState a #

class HExpand (h ∷ (k → Type) → l → Type) where #

Methods

hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod h) xs ⇒ (∀ (x ∷ k). f x) → h f xs → Prod h f xs #

hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod h) c xs ⇒ proxy c → (∀ (x ∷ k). c x ⇒ f x) → h f xs → Prod h f xs #

Instances

Instances details

HExpand (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod NS) xs ⇒ (∀ (x ∷ k0). f x) → NS f xs → Prod NS f xs # hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod NS) c xs ⇒ proxy c → (∀ (x ∷ k0). c x ⇒ f x) → NS f xs → Prod NS f xs #
HExpand (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod SOP) xs ⇒ (∀ (x ∷ k0). f x) → SOP f xs → Prod SOP f xs # hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod SOP) c xs ⇒ proxy c → (∀ (x ∷ k0). c x ⇒ f x) → SOP f xs → Prod SOP f xs #
HExpand (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod NS) xs ⇒ (∀ (x ∷ k0). f x) → NS f xs → Prod NS f xs # hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod NS) c xs ⇒ proxy c → (∀ (x ∷ k0). c x ⇒ f x) → NS f xs → Prod NS f xs #

class HIndex (h ∷ (k → Type) → l → Type) where #

Methods

hindex ∷ ∀ (f ∷ k → Type) (xs ∷ l). h f xs → Int #

Instances

Instances details

HIndex (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hindex ∷ ∀ (f ∷ k0 → Type) (xs ∷ l). SOP f xs → Int #
HIndex (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hindex ∷ ∀ (f ∷ k0 → Type) (xs ∷ l). NS f xs → Int #

class HPure (h ∷ (k → Type) → l → Type) where #

Methods

hpure ∷ ∀ (xs ∷ l) f. SListIN h xs ⇒ (∀ (a ∷ k). f a) → h f xs #

hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN h c xs ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a) → h f xs #

Instances

Instances details

HPure (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hpure ∷ ∀ (xs ∷ l) f. SListIN NP xs ⇒ (∀ (a ∷ k0). f a) → NP f xs # hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN NP c xs ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a) → NP f xs #
HPure (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP Methods hpure ∷ ∀ (xs ∷ l) f. SListIN NP xs ⇒ (∀ (a ∷ k0). f a) → NP f xs # hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN NP c xs ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a) → NP f xs #
HPure (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hpure ∷ ∀ (xs ∷ l) f. SListIN POP xs ⇒ (∀ (a ∷ k0). f a) → POP f xs # hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN POP c xs ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a) → POP f xs #

class HAp h ⇒ HSequence (h ∷ (k → Type) → l → Type) where #

Methods

hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k → Type). (SListIN h xs, Applicative f) ⇒ h (f :.: g) xs → f (h g xs) #

hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN h c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → g (f' a)) → h f xs → g (h f' xs) #

htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN h xs, Applicative g) ⇒ (∀ (a ∷ k). f a → g (f' a)) → h f xs → g (h f' xs) #

Instances

Instances details

HSequence (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NP xs, Applicative f) ⇒ NP (f :.: g) xs → f (NP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NP f xs → g (NP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NP f xs → g (NP f' xs) #
HSequence (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NS xs, Applicative f) ⇒ NS (f :.: g) xs → f (NS g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NS c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NS f xs → g (NS f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NS xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NS f xs → g (NS f' xs) #
HSequence (SimpleTelescope ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN SimpleTelescope xs, Applicative f) ⇒ SimpleTelescope (f :.: g) xs → f (SimpleTelescope g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN SimpleTelescope c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → SimpleTelescope f xs → g (SimpleTelescope f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN SimpleTelescope xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → SimpleTelescope f xs → g (SimpleTelescope f' xs) #
HSequence (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN SOP xs, Applicative f) ⇒ SOP (f :.: g) xs → f (SOP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN SOP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → SOP f xs → g (SOP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN SOP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → SOP f xs → g (SOP f' xs) #
HSequence (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NS xs, Applicative f) ⇒ NS (f :.: g) xs → f (NS g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NS c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NS f xs → g (NS f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NS xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NS f xs → g (NS f' xs) #
HSequence (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN POP xs, Applicative f) ⇒ POP (f :.: g) xs → f (POP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN POP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → POP f xs → g (POP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN POP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → POP f xs → g (POP f' xs) #
HSequence (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN NP xs, Applicative f) ⇒ NP (f :.: g) xs → f (NP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → NP f xs → g (NP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → NP f xs → g (NP f' xs) #
HSequence (OptNP empty ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.Util.OptNP Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN (OptNP empty) xs, Applicative f) ⇒ OptNP empty (f :.: g) xs → f (OptNP empty g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN (OptNP empty) c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → OptNP empty f xs → g (OptNP empty f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN (OptNP empty) xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → OptNP empty f xs → g (OptNP empty f' xs) #
HSequence (Telescope g ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hsequence' ∷ ∀ (xs ∷ l) f (g0 ∷ k0 → Type). (SListIN (Telescope g) xs, Applicative f) ⇒ Telescope g (f :.: g0) xs → f (Telescope g g0 xs) # hctraverse' ∷ ∀ c (xs ∷ l) g0 proxy f f'. (AllN (Telescope g) c xs, Applicative g0) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g0 (f' a)) → Telescope g f xs → g0 (Telescope g f' xs) # htraverse' ∷ ∀ (xs ∷ l) g0 f f'. (SListIN (Telescope g) xs, Applicative g0) ⇒ (∀ (a ∷ k0). f a → g0 (f' a)) → Telescope g f xs → g0 (Telescope g f' xs) #
HSequence HardForkState Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k → Type). (SListIN HardForkState xs, Applicative f) ⇒ HardForkState (f :.: g) xs → f (HardForkState g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN HardForkState c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → g (f' a)) → HardForkState f xs → g (HardForkState f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN HardForkState xs, Applicative g) ⇒ (∀ (a ∷ k). f a → g (f' a)) → HardForkState f xs → g (HardForkState f' xs) #

class ((Same h1 ∷ (k2 → Type) → l2 → Type) ~ h2, (Same h2 ∷ (k1 → Type) → l1 → Type) ~ h1) ⇒ HTrans (h1 ∷ (k1 → Type) → l1 → Type) (h2 ∷ (k2 → Type) → l2 → Type) where #

Methods

htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod h1) c xs ys ⇒ proxy c → (∀ (x ∷ k1) (y ∷ k2). c x y ⇒ f x → g y) → h1 f xs → h2 g ys #

hcoerce ∷ ∀ (f ∷ k1 → Type) (g ∷ k2 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod h1) (LiftedCoercible f g) xs ys ⇒ h1 f xs → h2 g ys #

Instances

Instances details

HTrans (NP ∷ (k1 → Type) → [k1] → Type) (NP ∷ (k2 → Type) → [k2] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NP f xs → NP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NP) (LiftedCoercible f g) xs ys ⇒ NP f xs → NP g ys #
HTrans (NS ∷ (k1 → Type) → [k1] → Type) (NS ∷ (k2 → Type) → [k2] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NS) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NS f xs → NS g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NS) (LiftedCoercible f g) xs ys ⇒ NS f xs → NS g ys #
HTrans (SOP ∷ (k1 → Type) → [[k1]] → Type) (SOP ∷ (k2 → Type) → [[k2]] → Type)
Instance details Defined in Data.SOP.NS Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod SOP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → SOP f xs → SOP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod SOP) (LiftedCoercible f g) xs ys ⇒ SOP f xs → SOP g ys #
HTrans (NS ∷ (k1 → Type) → [k1] → Type) (NS ∷ (k2 → Type) → [k2] → Type)
Instance details Defined in Data.SOP.NS Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NS) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NS f xs → NS g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NS) (LiftedCoercible f g) xs ys ⇒ NS f xs → NS g ys #
HTrans (POP ∷ (k1 → Type) → [[k1]] → Type) (POP ∷ (k2 → Type) → [[k2]] → Type)
Instance details Defined in Data.SOP.NP Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod POP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → POP f xs → POP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod POP) (LiftedCoercible f g) xs ys ⇒ POP f xs → POP g ys #
HTrans (NP ∷ (k1 → Type) → [k1] → Type) (NP ∷ (k2 → Type) → [k2] → Type)
Instance details Defined in Data.SOP.NP Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod NP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → NP f xs → NP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod NP) (LiftedCoercible f g) xs ys ⇒ NP f xs → NP g ys #

class HTraverse_ (h ∷ (k → Type) → l → Type) where #

Methods

hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN h c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k). c a ⇒ f a → g ()) → h f xs → g () #

htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN h xs, Applicative g) ⇒ (∀ (a ∷ k). f a → g ()) → h f xs → g () #

Instances

Instances details

HTraverse_ (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → NP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → NP f xs → g () #
HTraverse_ (SimpleTelescope ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN SimpleTelescope c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → SimpleTelescope f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN SimpleTelescope xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → SimpleTelescope f xs → g () #
HTraverse_ (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN SOP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → SOP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN SOP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → SOP f xs → g () #
HTraverse_ (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN NS c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → NS f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN NS xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → NS f xs → g () #
HTraverse_ (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN POP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → POP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN POP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → POP f xs → g () #
HTraverse_ (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN NP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → NP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN NP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → NP f xs → g () #
HTraverse_ (Telescope g ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope Methods hctraverse_ ∷ ∀ c (xs ∷ l) g0 proxy f. (AllN (Telescope g) c xs, Applicative g0) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g0 ()) → Telescope g f xs → g0 () # htraverse_ ∷ ∀ (xs ∷ l) g0 f. (SListIN (Telescope g) xs, Applicative g0) ⇒ (∀ (a ∷ k0). f a → g0 ()) → Telescope g f xs → g0 () #

type family Prod (h ∷ (k → Type) → l → Type) ∷ (k → Type) → l → Type #

Instances

Instances details

type Prod (NP ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type Prod (NP ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (NS ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Data.SOP.Strict type Prod (NS ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (NS ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS type Prod (NS ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS type Prod (SOP ∷ (k → Type) → [[k]] → Type) = POP ∷ (k → Type) → [[k]] → Type
type Prod (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NP type Prod (NP ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP type Prod (POP ∷ (k → Type) → [[k]] → Type) = POP ∷ (k → Type) → [[k]] → Type
type Prod (SimpleTelescope ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope type Prod (SimpleTelescope ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (OptNP empty ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.Util.OptNP type Prod (OptNP empty ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (Telescope g ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope type Prod (Telescope g ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod (Mismatch f ∷ (k → Type) → [k] → Type) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Match type Prod (Mismatch f ∷ (k → Type) → [k] → Type) = NP ∷ (k → Type) → [k] → Type
type Prod HardForkState Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances type Prod HardForkState = NP ∷ (Type → Type) → [Type] → Type

type family UnProd (h ∷ (k → Type) → l → Type) ∷ (k → Type) → l → Type #

Instances

Instances details

type UnProd (NP ∷ (k → Type) → [k] → Type)
Instance details Defined in Data.SOP.NS type UnProd (NP ∷ (k → Type) → [k] → Type) = NS ∷ (k → Type) → [k] → Type
type UnProd (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS type UnProd (POP ∷ (k → Type) → [[k]] → Type) = SOP ∷ (k → Type) → [[k]] → Type

class (AllF c xs, SListI xs) ⇒ All (c ∷ k → Constraint) (xs ∷ [k]) where #

Methods

cpara_SList ∷ proxy c → r ('[] ∷ [k]) → (∀ (y ∷ k) (ys ∷ [k]). (c y, All c ys) ⇒ r ys → r (y ': ys)) → r xs #

Instances

Instances details

All (c ∷ k → Constraint) ('[] ∷ [k])
Instance details Defined in Data.SOP.Constraint Methods cpara_SList ∷ proxy c → r '[] → (∀ (y ∷ k0) (ys ∷ [k0]). (c y, All c ys) ⇒ r ys → r (y ': ys)) → r '[] #
(c x, All c xs) ⇒ All (c ∷ a → Constraint) (x ': xs ∷ [a])
Instance details Defined in Data.SOP.Constraint Methods cpara_SList ∷ proxy c → r '[] → (∀ (y ∷ k) (ys ∷ [k]). (c y, All c ys) ⇒ r ys → r (y ': ys)) → r (x ': xs) #

type All2 (c ∷ k → Constraint) = All (All c) #

type family AllN (h ∷ (k → Type) → l → Type) (c ∷ k → Constraint) ∷ l → Constraint #

Instances

Instances details

type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NS type AllN (NS ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (SOP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NS type AllN (SOP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint) = All2 c
type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NP type AllN (NP ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NP type AllN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint) = All2 c
type AllN (SimpleTelescope ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope type AllN (SimpleTelescope ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (OptNP empty ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Ouroboros.Consensus.Util.OptNP type AllN (OptNP empty ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (Telescope g ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Telescope type AllN (Telescope g ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN (Mismatch f ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.Util.Match type AllN (Mismatch f ∷ (k → Type) → [k] → Type) (c ∷ k → Constraint) = All c
type AllN HardForkState (c ∷ Type → Constraint) Source #
Instance details Defined in Ouroboros.Consensus.HardFork.Combinator.State.Instances type AllN HardForkState (c ∷ Type → Constraint) = All c

class (SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) ⇒ AllZip (c ∷ a → b → Constraint) (xs ∷ [a]) (ys ∷ [b]) #

Instances

Instances details

(SListI xs, SListI ys, SameShapeAs xs ys, SameShapeAs ys xs, AllZipF c xs ys) ⇒ AllZip (c ∷ a → b → Constraint) (xs ∷ [a]) (ys ∷ [b])
Instance details Defined in Data.SOP.Constraint

class (AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) ⇒ AllZip2 (f ∷ a → b → Constraint) (xss ∷ [[a]]) (yss ∷ [[b]]) #

Instances

Instances details

(AllZipF (AllZip f) xss yss, SListI xss, SListI yss, SameShapeAs xss yss, SameShapeAs yss xss) ⇒ AllZip2 (f ∷ a → b → Constraint) (xss ∷ [[a]]) (yss ∷ [[b]])
Instance details Defined in Data.SOP.Constraint

type family AllZipN (h ∷ (k → Type) → l → Type) (c ∷ k1 → k2 → Constraint) ∷ l1 → l2 → Constraint #

Instances

Instances details

type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint) Source #
Instance details Defined in Data.SOP.Strict type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint) = AllZip c
type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (NP ∷ (k → Type) → [k] → Type) (c ∷ a → b → Constraint) = AllZip c
type AllZipN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ a → b → Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ a → b → Constraint) = AllZip2 c

class (f x, g x) ⇒ And (f ∷ k → Constraint) (g ∷ k → Constraint) (x ∷ k) #

Instances

Instances details

(f x, g x) ⇒ And (f ∷ k → Constraint) (g ∷ k → Constraint) (x ∷ k)
Instance details Defined in Data.SOP.Constraint

class f (g x) ⇒ Compose (f ∷ k → Constraint) (g ∷ k1 → k) (x ∷ k1) #

Instances

Instances details

f (g x) ⇒ Compose (f ∷ k1 → Constraint) (g ∷ k2 → k1) (x ∷ k2)
Instance details Defined in Data.SOP.Constraint

class Coercible (f x) (g y) ⇒ LiftedCoercible (f ∷ k → k1) (g ∷ k2 → k1) (x ∷ k) (y ∷ k2) #

Instances

Instances details

Coercible (f x) (g y) ⇒ LiftedCoercible (f ∷ k1 → k2) (g ∷ k3 → k2) (x ∷ k1) (y ∷ k3)
Instance details Defined in Data.SOP.Constraint

type SListI = All (Top ∷ k → Constraint) #

type SListI2 = All (SListI ∷ [k] → Constraint) #

type family SameShapeAs (xs ∷ [a]) (ys ∷ [b]) where ... #

Equations

SameShapeAs ('[] ∷ [a]) (ys ∷ [b]) = ys ~ ('[] ∷ [b])
SameShapeAs (x ': xs ∷ [a1]) (ys ∷ [a2]) = ys ~ (Head ys ': Tail ys)

class Top (x ∷ k) #

Instances

Instances details

Top (x ∷ k)
Instance details Defined in Data.SOP.Constraint

newtype POP (f ∷ k → Type) (xss ∷ [[k]]) #

Constructors

POP (NP (NP f) xss)

Instances

Instances details

HTrans (POP ∷ (k1 → Type) → [[k1]] → Type) (POP ∷ (k2 → Type) → [[k2]] → Type)
Instance details Defined in Data.SOP.NP Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod POP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → POP f xs → POP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod POP) (LiftedCoercible f g) xs ys ⇒ POP f xs → POP g ys #
HAp (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod POP (f -.-> g) xs → POP f xs → POP g xs #
HCollapse (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN POP xs ⇒ POP (K a) xs → CollapseTo POP a #
HPure (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hpure ∷ ∀ (xs ∷ l) f. SListIN POP xs ⇒ (∀ (a ∷ k0). f a) → POP f xs # hcpure ∷ ∀ c (xs ∷ l) proxy f. AllN POP c xs ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a) → POP f xs #
HSequence (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN POP xs, Applicative f) ⇒ POP (f :.: g) xs → f (POP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN POP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → POP f xs → g (POP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN POP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → POP f xs → g (POP f' xs) #
HTraverse_ (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN POP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → POP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN POP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → POP f xs → g () #
Eq (NP (NP f) xss) ⇒ Eq (POP f xss)
Instance details Defined in Data.SOP.NP Methods (==) ∷ POP f xss → POP f xss → Bool Source # (/=) ∷ POP f xss → POP f xss → Bool Source #
Ord (NP (NP f) xss) ⇒ Ord (POP f xss)
Instance details Defined in Data.SOP.NP Methods compare ∷ POP f xss → POP f xss → Ordering Source # (<) ∷ POP f xss → POP f xss → Bool Source # (<=) ∷ POP f xss → POP f xss → Bool Source # (>) ∷ POP f xss → POP f xss → Bool Source # (>=) ∷ POP f xss → POP f xss → Bool Source # max ∷ POP f xss → POP f xss → POP f xss Source # min ∷ POP f xss → POP f xss → POP f xss Source #
Show (NP (NP f) xss) ⇒ Show (POP f xss)
Instance details Defined in Data.SOP.NP Methods showsPrec ∷ Int → POP f xss → ShowS Source # show ∷ POP f xss → String Source # showList ∷ [POP f xss] → ShowS Source #
Semigroup (NP (NP f) xss) ⇒ Semigroup (POP f xss)
Instance details Defined in Data.SOP.NP Methods (<>) ∷ POP f xss → POP f xss → POP f xss Source # sconcat ∷ NonEmpty (POP f xss) → POP f xss Source # stimes ∷ Integral b ⇒ b → POP f xss → POP f xss Source #
Monoid (NP (NP f) xss) ⇒ Monoid (POP f xss)
Instance details Defined in Data.SOP.NP Methods mempty ∷ POP f xss Source # mappend ∷ POP f xss → POP f xss → POP f xss Source # mconcat ∷ [POP f xss] → POP f xss Source #
NFData (NP (NP f) xss) ⇒ NFData (POP f xss)
Instance details Defined in Data.SOP.NP Methods rnf ∷ POP f xss → () Source #
type AllZipN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ a → b → Constraint)
Instance details Defined in Data.SOP.NP type AllZipN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ a → b → Constraint) = AllZip2 c
type Same (POP ∷ (k1 → Type) → [[k1]] → Type)
Instance details Defined in Data.SOP.NP type Same (POP ∷ (k1 → Type) → [[k1]] → Type) = POP ∷ (k2 → Type) → [[k2]] → Type
type Prod (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP type Prod (POP ∷ (k → Type) → [[k]] → Type) = POP ∷ (k → Type) → [[k]] → Type
type UnProd (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS type UnProd (POP ∷ (k → Type) → [[k]] → Type) = SOP ∷ (k → Type) → [[k]] → Type
type SListIN (POP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NP type SListIN (POP ∷ (k → Type) → [[k]] → Type) = SListI2 ∷ [[k]] → Constraint
type CollapseTo (POP ∷ (k → Type) → [[k]] → Type) a
Instance details Defined in Data.SOP.NP type CollapseTo (POP ∷ (k → Type) → [[k]] → Type) a = [[a]]
type AllN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NP type AllN (POP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint) = All2 c

type Projection (f ∷ k → Type) (xs ∷ [k]) = (K (NP f xs) ∷ k → Type) -.-> f #

newtype SOP (f ∷ k → Type) (xss ∷ [[k]]) #

Constructors

SOP (NS (NP f) xss)

Instances

Instances details

HTrans (SOP ∷ (k1 → Type) → [[k1]] → Type) (SOP ∷ (k2 → Type) → [[k2]] → Type)
Instance details Defined in Data.SOP.NS Methods htrans ∷ ∀ c (xs ∷ l1) (ys ∷ l2) proxy f g. AllZipN (Prod SOP) c xs ys ⇒ proxy c → (∀ (x ∷ k10) (y ∷ k20). c x y ⇒ f x → g y) → SOP f xs → SOP g ys # hcoerce ∷ ∀ (f ∷ k10 → Type) (g ∷ k20 → Type) (xs ∷ l1) (ys ∷ l2). AllZipN (Prod SOP) (LiftedCoercible f g) xs ys ⇒ SOP f xs → SOP g ys #
HAp (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hap ∷ ∀ (f ∷ k0 → Type) (g ∷ k0 → Type) (xs ∷ l). Prod SOP (f -.-> g) xs → SOP f xs → SOP g xs #
HApInjs (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hapInjs ∷ ∀ (xs ∷ l) (f ∷ k0 → Type). SListIN SOP xs ⇒ Prod SOP f xs → [SOP f xs] #
HCollapse (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hcollapse ∷ ∀ (xs ∷ l) a. SListIN SOP xs ⇒ SOP (K a) xs → CollapseTo SOP a #
HExpand (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hexpand ∷ ∀ (xs ∷ l) f. SListIN (Prod SOP) xs ⇒ (∀ (x ∷ k0). f x) → SOP f xs → Prod SOP f xs # hcexpand ∷ ∀ c (xs ∷ l) proxy f. AllN (Prod SOP) c xs ⇒ proxy c → (∀ (x ∷ k0). c x ⇒ f x) → SOP f xs → Prod SOP f xs #
HIndex (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hindex ∷ ∀ (f ∷ k0 → Type) (xs ∷ l). SOP f xs → Int #
HSequence (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hsequence' ∷ ∀ (xs ∷ l) f (g ∷ k0 → Type). (SListIN SOP xs, Applicative f) ⇒ SOP (f :.: g) xs → f (SOP g xs) # hctraverse' ∷ ∀ c (xs ∷ l) g proxy f f'. (AllN SOP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g (f' a)) → SOP f xs → g (SOP f' xs) # htraverse' ∷ ∀ (xs ∷ l) g f f'. (SListIN SOP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g (f' a)) → SOP f xs → g (SOP f' xs) #
HTraverse_ (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS Methods hctraverse_ ∷ ∀ c (xs ∷ l) g proxy f. (AllN SOP c xs, Applicative g) ⇒ proxy c → (∀ (a ∷ k0). c a ⇒ f a → g ()) → SOP f xs → g () # htraverse_ ∷ ∀ (xs ∷ l) g f. (SListIN SOP xs, Applicative g) ⇒ (∀ (a ∷ k0). f a → g ()) → SOP f xs → g () #
Eq (NS (NP f) xss) ⇒ Eq (SOP f xss)
Instance details Defined in Data.SOP.NS Methods (==) ∷ SOP f xss → SOP f xss → Bool Source # (/=) ∷ SOP f xss → SOP f xss → Bool Source #
Ord (NS (NP f) xss) ⇒ Ord (SOP f xss)
Instance details Defined in Data.SOP.NS Methods compare ∷ SOP f xss → SOP f xss → Ordering Source # (<) ∷ SOP f xss → SOP f xss → Bool Source # (<=) ∷ SOP f xss → SOP f xss → Bool Source # (>) ∷ SOP f xss → SOP f xss → Bool Source # (>=) ∷ SOP f xss → SOP f xss → Bool Source # max ∷ SOP f xss → SOP f xss → SOP f xss Source # min ∷ SOP f xss → SOP f xss → SOP f xss Source #
Show (NS (NP f) xss) ⇒ Show (SOP f xss)
Instance details Defined in Data.SOP.NS Methods showsPrec ∷ Int → SOP f xss → ShowS Source # show ∷ SOP f xss → String Source # showList ∷ [SOP f xss] → ShowS Source #
NFData (NS (NP f) xss) ⇒ NFData (SOP f xss)
Instance details Defined in Data.SOP.NS Methods rnf ∷ SOP f xss → () Source #
type Same (SOP ∷ (k1 → Type) → [[k1]] → Type)
Instance details Defined in Data.SOP.NS type Same (SOP ∷ (k1 → Type) → [[k1]] → Type) = SOP ∷ (k2 → Type) → [[k2]] → Type
type Prod (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS type Prod (SOP ∷ (k → Type) → [[k]] → Type) = POP ∷ (k → Type) → [[k]] → Type
type SListIN (SOP ∷ (k → Type) → [[k]] → Type)
Instance details Defined in Data.SOP.NS type SListIN (SOP ∷ (k → Type) → [[k]] → Type) = SListI2 ∷ [[k]] → Constraint
type CollapseTo (SOP ∷ (k → Type) → [[k]] → Type) a
Instance details Defined in Data.SOP.NS type CollapseTo (SOP ∷ (k → Type) → [[k]] → Type) a = [a]
type AllN (SOP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint)
Instance details Defined in Data.SOP.NS type AllN (SOP ∷ (k → Type) → [[k]] → Type) (c ∷ k → Constraint) = All2 c

data SList (a ∷ [k]) where #

Constructors

SNil ∷ ∀ k. SList ('[] ∷ [k])
SCons ∷ ∀ k (xs ∷ [k]) (x ∷ k). SListI xs ⇒ SList (x ': xs)

Instances

Instances details

Eq (SList xs)
Instance details Defined in Data.SOP.Sing Methods (==) ∷ SList xs → SList xs → Bool Source # (/=) ∷ SList xs → SList xs → Bool Source #
Ord (SList xs)
Instance details Defined in Data.SOP.Sing Methods compare ∷ SList xs → SList xs → Ordering Source # (<) ∷ SList xs → SList xs → Bool Source # (<=) ∷ SList xs → SList xs → Bool Source # (>) ∷ SList xs → SList xs → Bool Source # (>=) ∷ SList xs → SList xs → Bool Source # max ∷ SList xs → SList xs → SList xs Source # min ∷ SList xs → SList xs → SList xs Source #
Show (SList xs)
Instance details Defined in Data.SOP.Sing Methods showsPrec ∷ Int → SList xs → ShowS Source # show ∷ SList xs → String Source # showList ∷ [SList xs] → ShowS Source #

data Shape (a ∷ [k]) where #

Constructors

ShapeNil ∷ ∀ k. Shape ('[] ∷ [k])
ShapeCons ∷ ∀ k (xs ∷ [k]) (x ∷ k). SListI xs ⇒ Shape xs → Shape (x ': xs)

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Instances details

Eq (Shape xs)
Instance details Defined in Data.SOP.Sing Methods (==) ∷ Shape xs → Shape xs → Bool Source # (/=) ∷ Shape xs → Shape xs → Bool Source #
Ord (Shape xs)
Instance details Defined in Data.SOP.Sing Methods compare ∷ Shape xs → Shape xs → Ordering Source # (<) ∷ Shape xs → Shape xs → Bool Source # (<=) ∷ Shape xs → Shape xs → Bool Source # (>) ∷ Shape xs → Shape xs → Bool Source # (>=) ∷ Shape xs → Shape xs → Bool Source # max ∷ Shape xs → Shape xs → Shape xs Source # min ∷ Shape xs → Shape xs → Shape xs Source #
Show (Shape xs)
Instance details Defined in Data.SOP.Sing Methods showsPrec ∷ Int → Shape xs → ShowS Source # show ∷ Shape xs → String Source # showList ∷ [Shape xs] → ShowS Source #

NP

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NS

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Injections

Re-exports from sop-core

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Re-exports from `sop-core`