Agda.Utils.Favorites

Maintaining a list of favorites of some partially ordered type. Only the best elements are kept.

To avoid name clashes, import this module qualified, as in import Agda.Utils.Favorites (Favorites) import qualified Agda.Utils.Favorites as Fav

Documentation

newtype Favorites a

A list of incomparable favorites.

Constructors

Favorites

Fields

• toList :: [a]

Instances

Foldable Favorites

Defined in Agda.Utils.Favorites

Methods

fold :: Monoid m => Favorites m -> m

foldMap :: Monoid m => (a -> m) -> Favorites a -> m

foldMap' :: Monoid m => (a -> m) -> Favorites a -> m

foldr :: (a -> b -> b) -> b -> Favorites a -> b

foldr' :: (a -> b -> b) -> b -> Favorites a -> b

foldl :: (b -> a -> b) -> b -> Favorites a -> b

foldl' :: (b -> a -> b) -> b -> Favorites a -> b

foldr1 :: (a -> a -> a) -> Favorites a -> a

foldl1 :: (a -> a -> a) -> Favorites a -> a

toList :: Favorites a -> [a]

null :: Favorites a -> Bool

length :: Favorites a -> Int

elem :: Eq a => a -> Favorites a -> Bool

maximum :: Ord a => Favorites a -> a

minimum :: Ord a => Favorites a -> a

sum :: Num a => Favorites a -> a

product :: Num a => Favorites a -> a

Singleton a (Favorites a)

Defined in Agda.Utils.Favorites

Methods

singleton :: a -> Favorites a

Null (Favorites a)

Defined in Agda.Utils.Favorites

Methods

empty :: Favorites a

null :: Favorites a -> Bool

PartialOrd a => Monoid (Favorites a)

Defined in Agda.Utils.Favorites

Methods

mempty :: Favorites a

mappend :: Favorites a -> Favorites a -> Favorites a

mconcat :: [Favorites a] -> Favorites a

PartialOrd a => Semigroup (Favorites a)

Favorites forms a Monoid under empty and 'union.

Defined in Agda.Utils.Favorites

Methods

(<>) :: Favorites a -> Favorites a -> Favorites a

sconcat :: NonEmpty (Favorites a) -> Favorites a

stimes :: Integral b => b -> Favorites a -> Favorites a

Show a => Show (Favorites a)

Defined in Agda.Utils.Favorites

Methods

showsPrec :: Int -> Favorites a -> ShowS

show :: Favorites a -> String

showList :: [Favorites a] -> ShowS

Ord a => Eq (Favorites a)

Equality checking is a bit expensive, since we need to sort! Maybe use a Set of favorites in the first place?

Defined in Agda.Utils.Favorites

Methods

(==) :: Favorites a -> Favorites a -> Bool

(/=) :: Favorites a -> Favorites a -> Bool

data CompareResult a

Result of comparing a candidate with the current favorites.

Constructors

Dominates

Great, you are dominating a possibly (empty list of favorites) but there is also a rest that is not dominated. If null dominated, then notDominated is necessarily the complete list of favorites.

Fields

• dominated :: [a]
• notDominated :: [a]

IsDominated

Sorry, but you are dominated by that favorite.

Fields

• dominator :: a

compareWithFavorites :: PartialOrd a => a -> Favorites a -> CompareResult a

Gosh, got some pretty a here, compare with my current favorites! Discard it if there is already one that is better or equal. (Skewed conservatively: faithful to the old favorites.) If there is no match for it, add it, and dispose of all that are worse than a.

We require a partial ordering. Less is better! (Maybe paradoxically.)

compareFavorites :: PartialOrd a => Favorites a -> Favorites a -> (Favorites a, Favorites a)

Compare a new set of favorites to an old one and discard the new favorites that are dominated by the old ones and vice verse. (Skewed conservatively: faithful to the old favorites.)

compareFavorites new old = (new', old')

unionCompared :: (Favorites a, Favorites a) -> Favorites a

insertCompared :: a -> Favorites a -> CompareResult a -> Favorites a

After comparing, do the actual insertion.

insert :: PartialOrd a => a -> Favorites a -> Favorites a

Compare, then insert accordingly. insert a l = insertCompared a l (compareWithFavorites a l)

union :: PartialOrd a => Favorites a -> Favorites a -> Favorites a

Insert all the favorites from the first list into the second.

fromList :: PartialOrd a => [a] -> Favorites a

Construct favorites from elements of a partial order. The result depends on the order of the list if it contains equal elements, since earlier seen elements are favored over later seen equals. The first element of the list is seen first.