Fold.Nonempty.Examples

General

magma :: (a -> a -> a) -> NonemptyFold a a

Start with the first input, append each new input on the right with the given function

semigroup :: Semigroup a => NonemptyFold a a

Append each new input on the right with (<>)

monoid :: Monoid a => NonemptyFold a a

Start with mempty, append each input on the right with (<>)

Endpoints

first :: NonemptyFold a a

The first input

last :: NonemptyFold a a

The last input

Extrema

maximum :: Ord a => NonemptyFold a a

The greatest input

minimum :: Ord a => NonemptyFold a a

The least input

maximumBy :: (a -> a -> Ordering) -> NonemptyFold a a

The greatest input with respect to the given comparison function

minimumBy :: (a -> a -> Ordering) -> NonemptyFold a a

The least input with respect to the given comparison function

Length

length :: NonemptyFold a Natural

The number of inputs

Boolean

and :: NonemptyFold Bool Bool

True if all inputs are True

or :: NonemptyFold Bool Bool

True if any input is True

all :: (a -> Bool) -> NonemptyFold a Bool

True if all inputs satisfy the predicate

any :: (a -> Bool) -> NonemptyFold a Bool

True if any input satisfies the predicate

Numeric

sum :: Num a => NonemptyFold a a

Adds the inputs

product :: Num a => NonemptyFold a a

Multiplies the inputs

mean :: Fractional a => NonemptyFold a a

Numerically stable arithmetic mean of the inputs

variance :: Fractional a => NonemptyFold a a

Numerically stable (population) variance over the inputs

standardDeviation :: Floating a => NonemptyFold a a

Numerically stable (population) standard deviation over the inputs

Search

element :: Eq a => a -> NonemptyFold a Bool

True if any input is equal to the given value

notElement :: Eq a => a -> NonemptyFold a Bool

False if any input is equal to the given value

find :: (a -> Bool) -> NonemptyFold a (Maybe a)

The first input that satisfies the predicate, if any

lookup :: Eq a => a -> NonemptyFold (a, b) (Maybe b)

The b from the first tuple where a equals the given value, if any

Index

index :: Natural -> NonemptyFold a (Maybe a)

The nth input, where n=0 is the first input, if the index is in bounds

findIndex :: (a -> Bool) -> NonemptyFold a (Maybe Natural)

The index of the first input that satisfies the predicate, if any

elementIndex :: Eq a => a -> NonemptyFold a (Maybe Natural)

The index of the first input that matches the given value, if any

List

list :: NonemptyFold a (NonEmpty a)

All the inputs

reverseList :: NonemptyFold a (NonEmpty a)

All the inputs in reverse order