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traverse :: forall t a b m. Traversable t => Applicative m => (a -> m b) -> t a -> m (t b)

traverse1 :: forall t a b f. Traversable1 t => Apply f => (a -> f b) -> t a -> f (t b)

traverse1Default :: forall t a b m. Traversable1 t => Apply m => (a -> m b) -> t a -> m (t b)

A default implementation of traverse1 using sequence1.

traverseDefault :: forall t a b m. Traversable t => Applicative m => (a -> m b) -> t a -> m (t b)

A default implementation of traverse using sequence and map.

traverseDefault :: forall i t a b m. TraversableWithIndex i t => Applicative m => (a -> m b) -> t a -> m (t b)

A default implementation of traverse in terms of traverseWithIndex

collect :: forall f a b g. Distributive f => Functor g => (a -> f b) -> g a -> f (g b)

collectDefault :: forall a b f g. Distributive f => Functor g => (a -> f b) -> g a -> f (g b)

A default implementation of collect, based on distribute.

parTraverse :: forall f m t a b. Parallel f m => Applicative f => Traversable t => (a -> m b) -> t a -> m (t b)

Traverse a collection in parallel.

crosswalk :: forall f t a b. Crosswalk f => Alignable t => (a -> t b) -> f a -> t (f b)

traverseByWither :: forall t m a b. Witherable t => Applicative m => (a -> m b) -> t a -> m (t b)

A default implementation of traverse given a Witherable.

traverse :: forall m p q a b. Dissect p q => MonadRec m => (a -> m b) -> p a -> m (p b)

A tail-recursive traverse operation, implemented in terms of Dissect.

Derived from: https://blog.functorial.com/posts/2017-06-18-Stack-Safe-Traversals-via-Dissection.html

traverse :: forall t m b a. HasTraverse t => HasApply m => HasMap m => HasPure m => (a -> m b) -> t a -> m (t b)

oneOfMap :: forall f g a b. Foldable f => Plus g => (a -> g b) -> f a -> g b

Folds a structure into some Plus.

parOneOfMap :: forall a b t m f. Parallel f m => Alternative f => Foldable t => Functor t => (a -> m b) -> t a -> m b

Race a collection in parallel while mapping to some effect.

bindFlipped :: forall m a b. Bind m => (a -> m b) -> m a -> m b

bindFlipped is bind with its arguments reversed. For example:

print =<< random

chain :: forall a c b. HasChain a => (b -> a c) -> a b -> a c

experiment :: forall f a w s. ComonadStore s w => Functor f => (s -> f s) -> w a -> f a

Extract a collection of values from positions which depend on the current position.

iterateM :: forall b a m. Monad m => (a -> m a) -> m a -> m b

oneOfMap :: forall f a b s. Convert s (Statements a) => Plus f => (a -> f b) -> s -> f b

parOneOfMap :: forall m f a b s. Convert s (Statements a) => Parallel f m => Alternative f => (a -> m b) -> s -> m b

liftA1 :: forall f a b. Applicative f => (a -> b) -> f a -> f b

liftA1 provides a default implementation of (<$>) for any Applicative functor, without using (<$>) as provided by the Functor-Applicative superclass relationship.

liftA1 can therefore be used to write Functor instances as follows:

instance functorF :: Functor F where
  map = liftA1

liftM1 :: forall m a b. Monad m => (a -> b) -> m a -> m b

liftM1 provides a default implementation of (<$>) for any Monad, without using (<$>) as provided by the Functor-Monad superclass relationship.

liftM1 can therefore be used to write Functor instances as follows:

instance functorF :: Functor F where
  map = liftM1

map :: forall f a b. Functor f => (a -> b) -> f a -> f b

mapDefault :: forall i f a b. FunctorWithIndex i f => (a -> b) -> f a -> f b

A default implementation of Functor's map in terms of mapWithIndex

squigglyMap :: forall f a b. Functor f => (a -> b) -> f a -> f b

transCataTM :: forall t f m. Recursive t f => Corecursive t f => Monad m => Traversable f => (t -> m t) -> t -> m t

map :: forall p q a b. Dissect p q => (a -> b) -> p a -> p b

A tail-recursive map operation, implemented in terms of Dissect.

defaultFilter :: forall a h f. BooleanEq h => Applicative f => Foldable f => Monoid (f a) => (a -> h) -> f a -> f a

everywhereM :: forall m a. Monad m => Data a => (forall b. Data b => b -> m b) -> a -> m a

Apply a monadic transformation everywhere, bottom-up

filter :: forall f h a. Filterable f => BooleanEq h => (a -> h) -> f a -> f a

gmapM :: forall m a. Data a => Monad m => (forall d. Data d => d -> m d) -> a -> m a

A generic monadic transformation that maps over the immediate subterms

gmapMo :: forall m a. Data a => MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a

Transformation of one immediate subterm with success

gmapMp :: forall m a. Data a => MonadPlus m => (forall d. Data d => d -> m d) -> a -> m a

Transformation of at least one immediate subterm does not fail

map :: forall a c b. HasMap a => (b -> c) -> a b -> a c

map :: forall f a b. Functor f => (a -> b) -> f a -> f b

mkM :: forall a b m. Typeable a => Typeable b => Typeable (m a) => Typeable (m b) => Applicative m => (b -> m b) -> a -> m a

cmap :: forall f a b. Contravariant f => (b -> a) -> f a -> f b

censor :: forall w m a. MonadWriter w m => (w -> w) -> m a -> m a

Modify the final accumulator value by applying a function.

local :: forall e w a. ComonadEnv e w => (e -> e) -> w a -> w a

local :: forall r m a. MonadReader r m => (r -> r) -> m a -> m a

seeks :: forall s a w. ComonadStore s w => (s -> s) -> w a -> w a

Reposition the focus at the specified position, which depends on the current position.

censorAccum :: forall acc html a. Accum acc html => (acc -> acc) -> html a -> html a

setCtx :: forall ctx html a. Ctx ctx html => (ctx -> ctx) -> html a -> html a

mapErr :: forall e m a. MonadError e m => (e -> e) -> m a -> m a

all :: forall a b f. Foldable f => HeytingAlgebra b => (a -> b) -> f a -> b

all f is the same as and <<< map f; map a function over the structure, and then get the conjunction of the results.

any :: forall a b f. Foldable f => HeytingAlgebra b => (a -> b) -> f a -> b

any f is the same as or <<< map f; map a function over the structure, and then get the disjunction of the results.

foldMap :: forall f a m. Foldable f => Monoid m => (a -> m) -> f a -> m

foldMap1 :: forall t a m. Foldable1 t => Semigroup m => (a -> m) -> t a -> m

foldMap1DefaultL :: forall t m a. Foldable1 t => Functor t => Semigroup m => (a -> m) -> t a -> m

A default implementation of foldMap1 using foldl1.

Note: when defining a Foldable1 instance, this function is unsafe to use in combination with foldl1Default.

foldMap1DefaultR :: forall t m a. Foldable1 t => Functor t => Semigroup m => (a -> m) -> t a -> m

A default implementation of foldMap1 using foldr1.

Note: when defining a Foldable1 instance, this function is unsafe to use in combination with foldr1Default.

foldMapDefault :: forall i f a m. FoldableWithIndex i f => Monoid m => (a -> m) -> f a -> m

A default implementation of foldMap using foldMapWithIndex

foldMapDefaultL :: forall f a m. Foldable f => Monoid m => (a -> m) -> f a -> m

A default implementation of foldMap using foldl.

Note: when defining a Foldable instance, this function is unsafe to use in combination with foldlDefault.

foldMapDefaultR :: forall f a m. Foldable f => Monoid m => (a -> m) -> f a -> m

A default implementation of foldMap using foldr.

Note: when defining a Foldable instance, this function is unsafe to use in combination with foldrDefault.

tracks :: forall w a t. ComonadTraced t w => (a -> t) -> w a -> a

Extracts a value at a relative position which depends on the current value.

asks :: forall e1 e2 w a. ComonadAsk e1 w => (e1 -> e2) -> w a -> e2

Get a value which depends on the environment.

peeks :: forall s a w. ComonadStore s w => (s -> s) -> w a -> a

Extract a value from a position which depends on the current position.

map :: forall f xs ys fproxy kproxy lproxy. Map f xs ys => fproxy f -> kproxy xs -> lproxy ys

withCtx :: forall ctx html a. AskCtx ctx html => (ctx -> html a) -> html a

getOrAlt :: forall v s r' r l h g f. Alternative h => Cons s v r' r => RowToList r l => RGetOrAlt f g s l r => g s -> f r -> h v

fromFoldableL :: forall a c f. Foldable f => Consable c => c a -> f a -> c a

Conversion from Foldable to Consable using foldl.

fromFoldableL [] [1,2,3,4]  == [4,3,2,1]
fromFoldableL [0] [1,2,3,4] == [4,3,2,1,0]

fromFoldableR :: forall a c f. Foldable f => Consable c => c a -> f a -> c a

Conversion from Foldable to Consable using foldr.

fromFoldableR [] [1,2,3,4]  == [1,2,3,4]
fromFoldableR [5] [1,2,3,4] == [1,2,3,4,5]

iterate :: forall a u. Unfoldable1 u => (a -> a) -> a -> u a

Create an infinite Unfoldable1 by repeated application of a function to a seed value. Analogous to iterateN, but with no iteration limit.

This should only be used to produce either lazy types (like lazy Lists) or types with truncating Unfoldable1 instances (like Maybe).

liftF :: forall b a f. Applicative f => (a -> b) -> a -> f b

applyFirst :: forall a b f. Apply f => f a -> f b -> f a

Combine two effectful actions, keeping only the result of the first.

applySecond :: forall a b f. Apply f => f a -> f b -> f b

Combine two effectful actions, keeping only the result of the second.

voidRight :: forall f a b. Functor f => a -> f b -> f a

Ignore the return value of a computation, using the specified return value instead.

alt :: forall f a. Alt f => f a -> f a -> f a

choose :: forall m a. MonadGen m => m a -> m a -> m a

Creates a generator that outputs a value chosen from one of two existing existing generators with even probability.

seek :: forall s a w. ComonadStore s w => s -> w a -> w a

Reposition the focus at the specified position.

mulNat :: forall proxy a b c. ProductNat a b c => proxy a -> proxy b -> proxy c

plus :: forall proxy a b c. SumInt a b c => proxy a -> proxy b -> proxy c

plusNat :: forall proxy a b c. SumNat a b c => proxy a -> proxy b -> proxy c

powNat :: forall proxy a b c. ExponentiationNat a b c => proxy a -> proxy b -> proxy c

> powNat d2 d3
8 -- : NProxy D8

a raised to the power of b a^b = c

prod :: forall proxy a b c. ProductInt a b c => proxy a -> proxy b -> proxy c

sampleOnLeft_ :: forall event a b. IsEvent event => event a -> event b -> event b

sampleOnRight_ :: forall event a b. IsEvent event => event a -> event b -> event a

Create an Event which samples the latest values from the first event at the times when the second event fires, ignoring the values produced by the second event.

sampleOn_ :: forall b a event. IsEvent event => event a -> event b -> event a

Create an Event which samples the latest values from the first event at the times when the second event fires, ignoring the values produced by the second event.

applyFirst :: forall v1 v0 f c. HasApply c f => HasConst c => HasMap c f => ObjectOf c v0 => ObjectOf c v1 => ObjectOf c (c v1 v0) => f v0 -> f v1 -> f v0

applySecond :: forall v1 v0 f c. HasApply c f => HasConst c => HasIdentity c => HasMap c f => ObjectOf c v0 => ObjectOf c v1 => ObjectOf c (c v1 v1) => ObjectOf c (c v0 (c v1 v1)) => ObjectOf c (c (c v1 v1) (c v0 (c v1 v1))) => f v0 -> f v1 -> f v1

concat :: forall xs ys zs lproxy. Concat xs ys zs => lproxy xs -> lproxy ys -> lproxy zs

drop :: forall n xs ys lproxy iproxy. Drop n xs ys => iproxy n -> lproxy xs -> lproxy ys

filled :: forall m a style. MonadCanvasAction m => CanvasStyle style => style -> m a -> m a

Run a MonadCanvasAction with the given fillStyle, resetting it to the previous value after

putCtx :: forall a html ctx. Ctx ctx html => ctx -> html a -> html a

stroked :: forall m a style. MonadCanvasAction m => CanvasStyle style => style -> m a -> m a

Run a MonadCanvasAction with the given strokeStyle, resetting it to the previous value after

take :: forall n xs ys lproxy iproxy. Take n xs ys => iproxy n -> lproxy xs -> lproxy ys

tellAccum :: forall acc html a. TellAccum acc html => acc -> html a -> html a

zip :: forall x y z lproxy. Zip x y z => lproxy x -> lproxy y -> lproxy z

max1 :: forall f a. Ord1 f => f a -> f a -> f a

min1 :: forall f a. Ord1 f => f a -> f a -> f a

onIntegrityError :: forall m a. MonadError PGError m => m a -> m a -> m a

scalarMul :: forall f k. VectorField f k => k -> f k -> f k

• ∀v in V: one * v == v
• ∀a b in K, v in V: a * (b .* v) = (a * b) .* v
• ∀a b in K, v in V:
  • a .* (u + v) = a .* u + a .* v
  • (a + b) .* v = a .* v + b .* v

alt :: forall f a. Alternative f => f a -> f a -> f a

cons :: forall t a. Consable t => a -> t a -> t a

cons :: forall f a. Container f => a -> f a -> f a

dappend :: forall cnt a. Diff cnt => cnt a -> cnt a -> cnt a

functorDecorate :: forall b a f. Functor f => Decorate a b => a -> f b -> f a

insert :: forall f a. Container f => Ord a => a -> f a -> f a

interleave :: forall m a. MonadLogic m => m a -> m a -> m a

option :: forall a m. Alternative m => a -> m a -> m a

replaceInArray :: forall a f. HasUuid a => Functor f => a -> f a -> f a

apply :: forall a b. (a -> b) -> a -> b

Applies a function to an argument. This is primarily used as the operator ($) which allows parentheses to be omitted in some cases, or as a natural way to apply a chain of composed functions to a value.

modify :: forall t a. Newtype t a => (a -> a) -> t -> t

This combinator unwraps the newtype, applies a monomorphic function to the contained value and wraps the result back in the newtype

un :: forall t a. Newtype t a => (a -> t) -> t -> a

Given a constructor for a Newtype, this returns the appropriate unwrap function.

intercalate :: forall f m. Foldable f => Monoid m => m -> f m -> m

Fold a data structure, accumulating values in some Monoid, combining adjacent elements using the specified separator.

For example:

> intercalate ", " ["Lorem", "ipsum", "dolor"]
= "Lorem, ipsum, dolor"

> intercalate "*" ["a", "b", "c"]
= "a*b*c"

> intercalate [1] [[2, 3], [4, 5], [6, 7]]
= [2, 3, 1, 4, 5, 1, 6, 7]

intercalate :: forall f m. Foldable1 f => Semigroup m => m -> f m -> m

Fold a data structure using a Semigroup instance, combining adjacent elements using the specified separator.

surround :: forall f m. Foldable f => Semigroup m => m -> f m -> m

fold but with each element surrounded by some fixed value.

For example:

> surround "*" []
= "*"

> surround "*" ["1"]
= "*1*"

> surround "*" ["1", "2"]
= "*1*2*"

> surround "*" ["1", "2", "3"]
= "*1*2*3*"

peek :: forall s w a. ComonadStore s w => s -> w a -> a

track :: forall t w a. ComonadTraced t w => t -> w a -> a

memoize :: forall a b. Tabulate a => (a -> b) -> a -> b

Memoize a function of one argument

transAnaT :: forall t f. Recursive t f => Corecursive t f => (t -> t) -> t -> t

transCataT :: forall t f. Recursive t f => Corecursive t f => (t -> t) -> t -> t

askRunInBase :: forall b m a. MonadUnlift b m => m (m a -> b a)

A monomorphic version of askUnlift which can be more convenient when you only want to use the resulting runner function once with a concrete type.

If you run into type issues using this, try using askUnlit instead.

buildLeaf :: forall e f p v. ElementBuilder e f p v => e -> f p -> v

get :: forall v s r' r l g f. Cons s v r' r => RGet f g s l r => RowToList r l => g s -> f r -> v

match :: forall v r1 r0 l1 l0 g f. RMatch f g v l0 r0 l1 r1 => RowToList r0 l0 => RowToList r1 l1 => f r0 -> g r1 -> v

memoize :: forall b a. Tabulate a => (a -> b) -> a -> b

Memoize a function of one argument

over :: forall s t a b @sym lenses. IsSymbol sym => ParseSymbol sym lenses => ConstructBarlow lenses Function s t a b => (a -> b) -> s -> t

applicator :: forall b a. (a -> b) -> a -> b

A combinator - applicator

Λ a b . (a → b) → a → b

λ f x . f x

askRunBase :: forall a stM m base. MonadBaseUnlift base m stM => Applicative base => m (m a -> base a)

consMax :: forall a f. Foldable f => Ord a => a -> f a -> a

consMin :: forall a f. Foldable f => Ord a => a -> f a -> a

everywhere :: forall a. Data a => (forall b. Data b => b -> b) -> a -> a

Apply a transformation everywhere, bottom-up

everywhere' :: forall a. Data a => (forall b. Data b => b -> b) -> a -> a

Apply a transformation everywhere, top-down

foldMap :: forall a b s. Convert s (Statements a) => Monoid b => (a -> b) -> s -> b

gmapT :: forall a. Data a => (forall b. Data b => b -> b) -> a -> a

A generic transformation that maps over the immediate subterms

idstar :: forall b a. (a -> b) -> a -> b

I* combinator - id bird once removed

S(SK)

Λ a b . (a → b) → a → b

λ f x . f x

local :: forall a b r. (a -> b) -> (Ask b => r) -> (Ask a => r)

Run a function over an implicit parameter

Note: Be careful while using this to map over the value without updating the type.

-- evaluates to `1`, not `2`
provide 1 (local ((*) 2) (ask @Int))

mapUndefined :: forall b a. (a -> b) -> a -> b

memoize :: forall a b. (a -> b) -> a -> b

Memoize the function f. If the argument of f differs from the previous call, then f is recomputed.

mkT :: forall a b. Typeable a => Typeable b => (b -> b) -> a -> a

moldMap :: forall t e m. Moldable t e => Monoid m => (e -> m) -> t -> m

moldMapDefaultL :: forall m e t. Moldable t e => Monoid m => (e -> m) -> t -> m

moldMapDefaultR :: forall m e t. Moldable t e => Monoid m => (e -> m) -> t -> m

A default implementation of moldMap based on moldr

nmap :: forall fa fb a b. NestedFunctor fa fb a b => (a -> b) -> fa -> fb

sequence :: forall t a m. Traversable t => Applicative m => t (m a) -> m (t a)

sequence1 :: forall t b f. Traversable1 t => Apply f => t (f b) -> f (t b)

sequence1Default :: forall t a m. Traversable1 t => Apply m => t (m a) -> m (t a)

A default implementation of sequence1 using traverse1.

sequenceDefault :: forall t a m. Traversable t => Applicative m => t (m a) -> m (t a)

A default implementation of sequence using traverse.

distribute :: forall f a g. Distributive f => Functor g => g (f a) -> f (g a)

distributeDefault :: forall a f g. Distributive f => Functor g => g (f a) -> f (g a)

A default implementation of distribute, based on collect.

parSequence :: forall a t m f. Parallel f m => Applicative f => Traversable t => t (m a) -> m (t a)

sequence :: forall m p q a. Dissect p q => MonadRec m => p (m a) -> m (p a)

A tail-recursive sequence operation, implemented in terms of Dissect.

sequence :: forall c b a. HasApply b => HasMap b => HasTraverse a => HasPure b => a (b c) -> b (a c)

Sequences actions and collects the results.

sequence [Just 1, Just 2] -- Just [1, 2]

join :: forall a m. Bind m => m (m a) -> m a

Collapse two applications of a monadic type constructor into one.

voidLeft :: forall f a b. Functor f => f a -> b -> f b

A version of voidRight with its arguments flipped.

fix :: forall l. Lazy l => (l -> l) -> l

fix defines a value as the fixed point of a function.

The Lazy instance allows us to generate the result lazily.

oneOf :: forall f g a. Foldable f => Plus g => f (g a) -> g a

Combines a collection of elements using the Alt operation.

oneOf :: forall m f a. MonadGen m => Foldable1 f => f (m a) -> m a

Creates a generator that outputs a value chosen from a selection of existing generators with uniform probability.

enumFromTo :: forall a u. Enum a => Unfoldable1 u => a -> a -> u a

Returns a contiguous sequence of elements from the first value to the second value (inclusive).

enumFromTo 0 3 = [0, 1, 2, 3]
enumFromTo 'c' 'a' = ['c', 'b', 'a']

The example shows Array return values, but the result can be any type with an Unfoldable1 instance.

asks :: forall r m a. MonadAsk r m => (r -> a) -> m a

Projects a value from the global context in a MonadAsk.

gets :: forall s m a. MonadState s m => (s -> a) -> m a

Get a value which depends on the current state.

modify :: forall s m. MonadState s m => (s -> s) -> m s

Modify the state by applying a function to the current state. The returned value is the new state value.

parOneOf :: forall a t m f. Parallel f m => Alternative f => Foldable t => Functor t => t (m a) -> m a

Race a collection in parallel.

wrapFree :: forall f m a. MonadFree f m => f (m a) -> m a

integrateM :: forall a stM m base. Applicative base => MonadBaseControl base m stM => m (stM a) -> m a

Pack a state belonging to m back into it, instead of throwing it away

restoreM :: forall base m stM a. MonadBaseControl base m stM => base (stM a) -> m a

keepLatest :: forall event a. IsEvent event => event (event a) -> event a

keepLatest :: forall event a. IsEvent event => event (event a) -> event a

join :: forall v m c. HasBind c m => HasIdentity c => ObjectOf c (m v) => m (m v) -> m v

flipScalarMul :: forall k f. VectorField f k => f k -> k -> f k

rsingleton :: forall f g s v r. RSingleton f g s => Cons s v () r => Lacks s () => g s -> v -> f r

singleton :: forall v s r g f. Cons s v () r => Lacks s () => RSingleton f g s => g s -> v -> f r

choice :: forall a g f. Foldable f => Alt g => Plus g => f (g a) -> g a

fix :: forall a. (a -> a) -> a

Fixed point Y combinator

Λ a . (a → a) → a

λ f . (λ x. f (x x)) (λ x . f (x x))

fix :: forall a. (a -> a) -> a

flatten :: forall b a. HasChain a => a (a b) -> a b

Removes a level of nesting from a container.

flatten [[1, 2], [3, 4]] -- [1, 2, 3, 4]

foldEnum :: forall a b. BoundedEnum a => Semigroup b => (a -> b) -> b

Map each element of a BoundedEnum into a semigroup, and combine the results through refold1.

functorDecorateFlipped :: forall b a f. Functor f => Decorate b a => f a -> b -> f b

invokeAction :: forall m res args ctrl act. RemoteAction act ctrl args res => MonadReader Visualforce m => MonadAff m => MonadError RemoteActionError m => IsSymbol ctrl => Encode args => Decode res => act -> args -> m res

Function that invoke the action defined by referring to contraints which holds details about the correct controller to invoke. Example:

data PCMRequests = ..

data CreatePCMRequests = CreatePCMRequests

instance remoteActionCreatePCMs :: RemoteAction CreatePCMRequests "PCMMassController.createRecords" PCMRequests Unit

createPCMRequest :: Visualforce -> PCMRequests -> Aff (Either RemoteActionError Unit)
createPCMRequest vf rec =  runReaderT (runExceptT $ invokeAction CreatePCMRequests rec) vf

oneOf :: forall a m f. Foldable f => Alternative m => f (m a) -> m a

snoc :: forall f a. Container f => f a -> a -> f a

tabulate :: forall f a b. Representable f a => (a -> b) -> f b

warbler :: forall m a. Bind m => m (m a) -> m a

W combinator - warbler - omega

MM

Λ a b . (a → a → b) → a → b

λ f x . f x x

add :: forall a. Semiring a => a -> a -> a

append :: forall a. Semigroup a => a -> a -> a

conj :: forall a. HeytingAlgebra a => a -> a -> a

const :: forall a b. a -> b -> a

Returns its first argument and ignores its second.

const 1 "hello" = 1

It can also be thought of as creating a function that ignores its argument:

const 1 = \_ -> 1

disj :: forall a. HeytingAlgebra a => a -> a -> a

div :: forall a. EuclideanRing a => a -> a -> a

gcd :: forall a. Eq a => EuclideanRing a => a -> a -> a

The greatest common divisor of two values.

genericAdd :: forall a rep. Generic a rep => GenericSemiring rep => a -> a -> a

A Generic implementation of the add member from the Semiring type class.

genericAdd' :: forall a. GenericSemiring a => a -> a -> a

genericAppend :: forall a rep. Generic a rep => GenericSemigroup rep => a -> a -> a

A Generic implementation of the append member from the Semigroup type class.

genericAppend' :: forall a. GenericSemigroup a => a -> a -> a

genericConj :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a

A Generic implementation of the conj member from the HeytingAlgebra type class.

genericConj' :: forall a. GenericHeytingAlgebra a => a -> a -> a

genericDisj :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a

A Generic implementation of the disj member from the HeytingAlgebra type class.

genericDisj' :: forall a. GenericHeytingAlgebra a => a -> a -> a

genericImplies :: forall a rep. Generic a rep => GenericHeytingAlgebra rep => a -> a -> a

A Generic implementation of the implies member from the HeytingAlgebra type class.

genericImplies' :: forall a. GenericHeytingAlgebra a => a -> a -> a

genericMul :: forall a rep. Generic a rep => GenericSemiring rep => a -> a -> a

A Generic implementation of the mul member from the Semiring type class.

genericMul' :: forall a. GenericSemiring a => a -> a -> a

genericSub :: forall a rep. Generic a rep => GenericRing rep => a -> a -> a

A Generic implementation of the sub member from the Ring type class.

genericSub' :: forall a. GenericRing a => a -> a -> a

implies :: forall a. HeytingAlgebra a => a -> a -> a

lcm :: forall a. Eq a => EuclideanRing a => a -> a -> a

The least common multiple of two values.

leftDiv :: forall a. DivisionRing a => a -> a -> a

Left division, defined as leftDiv a b = recip b * a. Left and right division are distinct in this module because a DivisionRing is not necessarily commutative.

If the type a is also a EuclideanRing, then this function is equivalent to div from the EuclideanRing class. When working abstractly, div should generally be preferred, unless you know that you need your code to work with noncommutative rings.

max :: forall a. Ord a => a -> a -> a

Take the maximum of two values. If they are considered equal, the first argument is chosen.

min :: forall a. Ord a => a -> a -> a

Take the minimum of two values. If they are considered equal, the first argument is chosen.

mod :: forall a. EuclideanRing a => a -> a -> a

mul :: forall a. Semiring a => a -> a -> a

rightDiv :: forall a. DivisionRing a => a -> a -> a

Right division, defined as rightDiv a b = a * recip b. Left and right division are distinct in this module because a DivisionRing is not necessarily commutative.

If the type a is also a EuclideanRing, then this function is equivalent to div from the EuclideanRing class. When working abstractly, div should generally be preferred, unless you know that you need your code to work with noncommutative rings.

sub :: forall a. Ring a => a -> a -> a

duplicate :: forall a w. Extend w => w a -> w (w a)

Duplicate a comonadic context.

duplicate is dual to Control.Bind.join.

unfoldable :: forall m f a. MonadRec m => MonadGen m => Unfoldable f => m a -> m (f a)

Creates a generator that produces unfoldable structures based on an existing generator for the elements.

The size of the unfoldable will be determined by the current size state for the generator. To generate an unfoldable structure of a particular size, use the resize function from the MonadGen class first.

unwrapCofree :: forall f w a. ComonadCofree f w => w a -> f (w a)

sans :: forall m a b. At m a b => a -> m -> m

fork :: forall f m a. MonadFork f m => m a -> m (f a)

suspend :: forall f m a. MonadFork f m => m a -> m (f a)

add :: forall x y z. Add x y z => x -> y -> z

and :: forall b1 b2 b3. And b1 b2 b3 => b1 -> b2 -> b3

div :: forall x y z. Div x y z => x -> y -> z

eq :: forall b1 b2 b3. Eq b1 b2 b3 => b1 -> b2 -> b3

gcd :: forall x y z. GCD x y z => x -> y -> z

imp :: forall b1 b2 b3. Imp b1 b2 b3 => b1 -> b2 -> b3

max :: forall x y z. Max x y z => x -> y -> z

min :: forall x y z. Min x y z => x -> y -> z

mod :: forall x y r. Mod x y r => x -> y -> r

mul :: forall x y z. Mul x y z => x -> y -> z

or :: forall b1 b2 b3. Or b1 b2 b3 => b1 -> b2 -> b3

sub :: forall x y z. Sub x y z => x -> y -> z

trich :: forall x y r. Trich x y r => x -> y -> r

xor :: forall b1 b2 b3. Xor b1 b2 b3 => b1 -> b2 -> b3

hmap :: forall f a b. HMap f a b => f -> a -> b

hmapWithIndex :: forall f a b. HMapWithIndex f a b => f -> a -> b

mapping :: forall f a b. Mapping f a b => f -> a -> b

resulting :: forall f acc x. Resulting f acc x => f -> acc -> x

variadic :: forall f acc args. Variadic f acc args => f -> acc -> args

variadicWithIndex :: forall f acc args. VariadicWithIndex f acc args => f -> acc -> args

call :: forall s. IsString s => Monoid s => s -> s -> s

Syntax for CSS function call.

reduce :: forall f i o. Reducible f i o => f -> i -> o

lact :: forall g s. LeftAction g s => g -> s -> s

ract :: forall g s. RightAction g s => s -> g -> s

convertOptions :: forall t i o. ConvertOptions t i o => t -> i -> o

defaults :: forall defaults provided all. Defaults defaults provided all => defaults -> provided -> all

maddL :: forall x r. LeftModule x r => x -> x -> x

maddR :: forall x r. RightModule x r => x -> x -> x

mmulL :: forall x r. LeftModule x r => r -> x -> x

mmulR :: forall x r. RightModule x r => x -> r -> x

msubL :: forall x r. LeftModule x r => x -> x -> x

msubR :: forall x r. RightModule x r => x -> x -> x

bindTo :: forall f o. f -> o -> f

defaultUndef :: forall a. a -> a -> a

new :: forall f a o. f -> a -> o

Call new on the function with an array or pseudoarray of arguments

dot :: forall p n. ToPos n p => Semiring n => p -> p -> n

Get the dot product of two vectors

mapProduct :: forall mp a b. MapProduct mp a b => mp -> a -> b

putInsideMod :: forall r p n. ToRegion n r => AsPosEndo n p => EuclideanRing n => r -> p -> p

Put a position inside a region by using the modulus operator

act :: forall m s. Action m s => m -> s -> s

Convert a value of type @m@ to an action on @s@ values.

at :: forall c k r. Monoid r => Lookup c k r => c -> k -> r

This simple helper works on any Lookup instance where the return type is a Monoid, and is the same as lookup except that it returns a t instead of a Maybe t. If lookup would return Nothing, then at returns mempty.

at :: forall c k r. Monoid r => Lookup c k r => c -> k -> r

This simple helper works on any Lookup instance where the return type is a Monoid, and is the same as lookup except that it returns a t instead of a Maybe t. If lookup would return Nothing, then at returns mempty.