Safe Haskell | Safe-Inferred |
---|---|

Language | Haskell2010 |

## Synopsis

- type Gen = GenT Identity
- newtype GenT m a = GenT {}
- class (Monad m, Monad (GenBase m)) => MonadGen m where
- generalize :: Monad m => Gen a -> GenT m a
- shrink :: MonadGen m => (a -> [a]) -> m a -> m a
- prune :: MonadGen m => m a -> m a
- small :: MonadGen m => m a -> m a
- scale :: MonadGen m => (Size -> Size) -> m a -> m a
- resize :: MonadGen m => Size -> m a -> m a
- sized :: MonadGen m => (Size -> m a) -> m a
- integral :: forall m a. (MonadGen m, Integral a) => Range a -> m a
- integral_ :: (MonadGen m, Integral a) => Range a -> m a
- int :: MonadGen m => Range Int -> m Int
- int8 :: MonadGen m => Range Int8 -> m Int8
- int16 :: MonadGen m => Range Int16 -> m Int16
- int32 :: MonadGen m => Range Int32 -> m Int32
- int64 :: MonadGen m => Range Int64 -> m Int64
- word :: MonadGen m => Range Word -> m Word
- word8 :: MonadGen m => Range Word8 -> m Word8
- word16 :: MonadGen m => Range Word16 -> m Word16
- word32 :: MonadGen m => Range Word32 -> m Word32
- word64 :: MonadGen m => Range Word64 -> m Word64
- realFloat :: (MonadGen m, RealFloat a) => Range a -> m a
- realFrac_ :: (MonadGen m, RealFrac a) => Range a -> m a
- float :: MonadGen m => Range Float -> m Float
- double :: MonadGen m => Range Double -> m Double
- enum :: (MonadGen m, Enum a) => a -> a -> m a
- enumBounded :: (MonadGen m, Enum a, Bounded a) => m a
- bool :: MonadGen m => m Bool
- bool_ :: MonadGen m => m Bool
- binit :: MonadGen m => m Char
- octit :: MonadGen m => m Char
- digit :: MonadGen m => m Char
- hexit :: MonadGen m => m Char
- lower :: MonadGen m => m Char
- upper :: MonadGen m => m Char
- alpha :: MonadGen m => m Char
- alphaNum :: MonadGen m => m Char
- ascii :: MonadGen m => m Char
- latin1 :: MonadGen m => m Char
- unicode :: MonadGen m => m Char
- unicodeAll :: MonadGen m => m Char
- string :: MonadGen m => Range Int -> m Char -> m String
- text :: MonadGen m => Range Int -> m Char -> m Text
- utf8 :: MonadGen m => Range Int -> m Char -> m ByteString
- bytes :: MonadGen m => Range Int -> m ByteString
- constant :: MonadGen m => a -> m a
- element :: (Foldable f, MonadGen m) => f a -> m a
- element_ :: MonadGen m => [a] -> m a
- choice :: MonadGen m => [m a] -> m a
- frequency :: MonadGen m => [(Int, m a)] -> m a
- recursive :: MonadGen m => ([m a] -> m a) -> [m a] -> [m a] -> m a
- discard :: MonadGen m => m a
- ensure :: MonadGen m => (a -> Bool) -> m a -> m a
- filter :: (MonadGen m, GenBase m ~ Identity) => (a -> Bool) -> m a -> m a
- mapMaybe :: (MonadGen m, GenBase m ~ Identity) => (a -> Maybe b) -> m a -> m b
- filterT :: MonadGen m => (a -> Bool) -> m a -> m a
- mapMaybeT :: MonadGen m => (a -> Maybe b) -> m a -> m b
- just :: (MonadGen m, GenBase m ~ Identity) => m (Maybe a) -> m a
- justT :: MonadGen m => m (Maybe a) -> m a
- maybe :: MonadGen m => m a -> m (Maybe a)
- either :: MonadGen m => m a -> m b -> m (Either a b)
- either_ :: MonadGen m => m a -> m b -> m (Either a b)
- list :: MonadGen m => Range Int -> m a -> m [a]
- seq :: MonadGen m => Range Int -> m a -> m (Seq a)
- nonEmpty :: MonadGen m => Range Int -> m a -> m (NonEmpty a)
- set :: (MonadGen m, Ord a) => Range Int -> m a -> m (Set a)
- map :: (MonadGen m, Ord k) => Range Int -> m (k, v) -> m (Map k v)
- freeze :: MonadGen m => m a -> m (a, m a)
- subterm :: MonadGen m => m a -> (a -> a) -> m a
- subtermM :: MonadGen m => m a -> (a -> m a) -> m a
- subterm2 :: MonadGen m => m a -> m a -> (a -> a -> a) -> m a
- subtermM2 :: MonadGen m => m a -> m a -> (a -> a -> m a) -> m a
- subterm3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> a) -> m a
- subtermM3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> m a) -> m a
- subsequence :: MonadGen m => [a] -> m [a]
- subset :: MonadGen m => Set a -> m (Set a)
- shuffle :: MonadGen m => [a] -> m [a]
- shuffleSeq :: MonadGen m => Seq a -> m (Seq a)
- sample :: MonadIO m => Gen a -> m a
- print :: (MonadIO m, Show a) => Gen a -> m ()
- printTree :: (MonadIO m, Show a) => Gen a -> m ()
- printWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m ()
- printTreeWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m ()
- renderTree :: Show a => Size -> Seed -> Gen a -> String
- runGenT :: Size -> Seed -> GenT m a -> TreeT (MaybeT m) a
- evalGen :: Size -> Seed -> Gen a -> Maybe (Tree a)
- evalGenT :: Monad m => Size -> Seed -> GenT m a -> TreeT m (Maybe a)
- mapGenT :: (TreeT (MaybeT m) a -> TreeT (MaybeT n) b) -> GenT m a -> GenT n b
- generate :: MonadGen m => (Size -> Seed -> a) -> m a
- toTree :: forall m a. (MonadGen m, GenBase m ~ Identity) => m a -> m (Tree a)
- toTreeMaybeT :: MonadGen m => m a -> m (TreeT (MaybeT (GenBase m)) a)
- fromTree :: MonadGen m => Tree a -> m a
- fromTreeT :: MonadGen m => TreeT (GenBase m) a -> m a
- fromTreeMaybeT :: MonadGen m => TreeT (MaybeT (GenBase m)) a -> m a
- runDiscardEffect :: TreeT (MaybeT Identity) a -> Maybe (Tree a)
- runDiscardEffectT :: Monad m => TreeT (MaybeT m) a -> TreeT m (Maybe a)
- golden :: Size -> Size
- atLeast :: Int -> [a] -> Bool
- isSurrogate :: Char -> Bool
- isNoncharacter :: Char -> Bool
- data Vec n a where
- data Nat
- subtermMVec :: MonadGen m => Vec n (m a) -> (Vec n a -> m a) -> m a

# Transformer

Monad transformer which can generate random values of `a`

.

#### Instances

class (Monad m, Monad (GenBase m)) => MonadGen m where Source #

Class of monads which can generate input data for tests.

#### Instances

Monad m => MonadGen (GenT m) Source # | |

MonadGen m => MonadGen (MaybeT m) Source # | |

MonadGen m => MonadGen (ExceptT x m) Source # | |

MonadGen m => MonadGen (IdentityT m) Source # | |

MonadGen m => MonadGen (ReaderT r m) Source # | |

MonadGen m => MonadGen (StateT r m) Source # | |

MonadGen m => MonadGen (StateT r m) Source # | |

(MonadGen m, Monoid w) => MonadGen (WriterT w m) Source # | |

(MonadGen m, Monoid w) => MonadGen (WriterT w m) Source # | |

# Combinators

generalize :: Monad m => Gen a -> GenT m a Source #

Lift a `Gen / GenT Identity`

in to a `Monad m => GenT m`

## Shrinking

shrink :: MonadGen m => (a -> [a]) -> m a -> m a Source #

Apply a shrinking function to a generator.

This will give the generator additional shrinking options, while keeping the existing shrinks intact.

## Size

scale :: MonadGen m => (Size -> Size) -> m a -> m a Source #

Adjust the size parameter by transforming it with the given function.

resize :: MonadGen m => Size -> m a -> m a Source #

Override the size parameter. Returns a generator which uses the given size instead of the runtime-size parameter.

sized :: MonadGen m => (Size -> m a) -> m a Source #

Construct a generator that depends on the size parameter.

## Integral

integral :: forall m a. (MonadGen m, Integral a) => Range a -> m a Source #

Generates a random integral number in the given `[inclusive,inclusive]`

range.

When the generator tries to shrink, it will shrink towards the
`origin`

of the specified `Range`

.

For example, the following generator will produce a number between `1970`

and `2100`

, but will shrink towards `2000`

:

integral (Range.`constantFrom`

2000 1970 2100) ::`Gen`

`Int`

Some sample outputs from this generator might look like:

=== Outcome === 1973 === Shrinks === 2000 1987 1980 1976 1974

=== Outcome === 2061 === Shrinks === 2000 2031 2046 2054 2058 2060

integral_ :: (MonadGen m, Integral a) => Range a -> m a Source #

Generates a random integral number in the [inclusive,inclusive] range.

*This generator does not shrink.*

int :: MonadGen m => Range Int -> m Int Source #

Generates a random machine integer in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

int8 :: MonadGen m => Range Int8 -> m Int8 Source #

Generates a random 8-bit integer in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

int16 :: MonadGen m => Range Int16 -> m Int16 Source #

Generates a random 16-bit integer in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

int32 :: MonadGen m => Range Int32 -> m Int32 Source #

Generates a random 32-bit integer in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

int64 :: MonadGen m => Range Int64 -> m Int64 Source #

Generates a random 64-bit integer in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

word :: MonadGen m => Range Word -> m Word Source #

Generates a random machine word in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

word8 :: MonadGen m => Range Word8 -> m Word8 Source #

Generates a random byte in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

word16 :: MonadGen m => Range Word16 -> m Word16 Source #

Generates a random 16-bit word in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

word32 :: MonadGen m => Range Word32 -> m Word32 Source #

Generates a random 32-bit word in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

word64 :: MonadGen m => Range Word64 -> m Word64 Source #

Generates a random 64-bit word in the given `[inclusive,inclusive]`

range.

*This is a specialization of integral, offered for convenience.*

## Floating-point

realFloat :: (MonadGen m, RealFloat a) => Range a -> m a Source #

Generates a random floating-point number in the `[inclusive,exclusive)`

range.

*This generator works the same as integral, but for floating point numbers.*

realFrac_ :: (MonadGen m, RealFrac a) => Range a -> m a Source #

Generates a random fractional number in the [inclusive,exclusive) range.

*This generator does not shrink.*

float :: MonadGen m => Range Float -> m Float Source #

Generates a random floating-point number in the `[inclusive,exclusive)`

range.

*This is a specialization of realFloat, offered for convenience.*

double :: MonadGen m => Range Double -> m Double Source #

Generates a random floating-point number in the `[inclusive,exclusive)`

range.

*This is a specialization of realFloat, offered for convenience.*

## Enumeration

bool :: MonadGen m => m Bool Source #

Generates a random boolean.

This generator shrinks to `False`

.

*This is a specialization of enumBounded, offered for convenience.*

## Characters

alphaNum :: MonadGen m => m Char Source #

Generates an ASCII letter or digit: `'a'..'z', 'A'..'Z', '0'..'9'`

unicode :: MonadGen m => m Char Source #

Generates a Unicode character, excluding noncharacters and invalid standalone surrogates:
`'0'..'1114111' (excluding '55296'..'57343', '65534', '65535')`

unicodeAll :: MonadGen m => m Char Source #

Generates a Unicode character, including noncharacters and invalid standalone surrogates:
`'0'..'1114111'`

## Strings

text :: MonadGen m => Range Int -> m Char -> m Text Source #

Generates a string using `Range`

to determine the length.

utf8 :: MonadGen m => Range Int -> m Char -> m ByteString Source #

Generates a UTF-8 encoded string, using `Range`

to determine the length.

bytes :: MonadGen m => Range Int -> m ByteString Source #

Generates a random `ByteString`

, using `Range`

to determine the
length.

## Choice

element :: (Foldable f, MonadGen m) => f a -> m a Source #

Randomly selects one of the elements in the list.

This generator shrinks towards the first element in the list.

*The input list must be non-empty.*

element_ :: MonadGen m => [a] -> m a Source #

Randomly selects one of the elements in the list.

This generator does not shrink the choice of element.

*The input list must be non-empty.*

choice :: MonadGen m => [m a] -> m a Source #

Randomly selects one of the generators in the list.

This generator shrinks towards the first generator in the list.

*The input list must be non-empty.*

frequency :: MonadGen m => [(Int, m a)] -> m a Source #

Uses a weighted distribution to randomly select one of the generators in the list.

This generator shrinks towards the first generator in the list.

*The input list must be non-empty.*

recursive :: MonadGen m => ([m a] -> m a) -> [m a] -> [m a] -> m a Source #

Modifies combinators which choose from a list of generators, like `choice`

or `frequency`

, so that they can be used in recursive scenarios.

This combinator modifies its target to select one of the generators in
either the non-recursive or the recursive list. When a selection is made
from the recursive list, the `Size`

is halved. When the `Size`

gets to one
or less, selections are no longer made from the recursive list, this
ensures termination.

A good example of where this might be useful is abstract syntax trees:

data Expr = Var String | Lam String Expr | App Expr Expr -- Assuming we have a name generator genName ::`MonadGen`

m => m String -- We can write a generator for expressions genExpr ::`MonadGen`

m => m Expr genExpr = Gen.`recursive`

Gen.`choice`

[ -- non-recursive generators Var`<$>`

genName ] [ -- recursive generators Gen.`subtermM`

genExpr (x -> Lam`<$>`

genName`<*>`

pure x) , Gen.`subterm2`

genExpr genExpr App ]

If we wrote the above example using only `choice`

, it is likely that it
would fail to terminate. This is because for every call to `genExpr`

,
there is a 2 in 3 chance that we will recurse again.

## Conditional

ensure :: MonadGen m => (a -> Bool) -> m a -> m a Source #

Discards the generator if the generated value does not satisfy the predicate.

filter :: (MonadGen m, GenBase m ~ Identity) => (a -> Bool) -> m a -> m a Source #

Generates a value that satisfies a predicate.

Shrinks of the generated value will also satisfy the predicate. From the
original generator's shrink tree, any values that fail the predicate will
be removed, but any subsequent shrinks that satisfy it will be retained.
Compared to `filter`

, shrinking may be slower but will be optimal.

It's possible that the predicate will never pass, or will only pass at a larger size than we're currently running at. To avoid looping forever, we limit the number of retries, and grow the size with each retry. If we retry too many times then the whole generator is discarded.

mapMaybe :: (MonadGen m, GenBase m ~ Identity) => (a -> Maybe b) -> m a -> m b Source #

Generates a value which is the result of the given function returning a
`Just`

.

The original generator's shrink tree will be retained, with values
returning `Nothing`

removed. Subsequent shrinks of those values will be
retained. Compared to `mapMaybeT`

, shrinking may be slower but will be
optimal.

It's possible that the function will never return `Just`

, or will only do
so a larger size than we're currently running at. To avoid looping forever,
we limit the number of retries, and grow the size with each retry. If we
retry too many times then the whole generator is discarded.

filterT :: MonadGen m => (a -> Bool) -> m a -> m a Source #

Generates a value that satisfies a predicate.

Shrinks of the generated value will also satisfy the predicate. From the
original generator's shrink tree, any values that fail the predicate will
be removed, along with their subsequent shrinks. Compared to `filter`

,
shrinking may be faster but may also be less optimal.

The type is also more general, because the shrink behavior from `filter`

would force the entire shrink tree to be evaluated when applied to an
impure tree.

This is essentially:

filterT p gen =`mfilter`

p gen`<|>`

filterT p gen

But that could loop forever, if the predicate will never pass or will only pass at a larger size than we're currently running at. We differ from the above in keeping some state to avoid that. We limit the number of retries, and grow the size with each retry. If we retry too many times then the whole generator is discarded.

mapMaybeT :: MonadGen m => (a -> Maybe b) -> m a -> m b Source #

Generates a value which is the result of the given function returning a
`Just`

.

The original generator's shrink tree will be retained, with values
returning `Nothing`

removed. Subsequent shrinks of those values will be
retained. Compared to `mapMaybeT`

, shrinking may be slower but will be
optimal.

The type is also more general, because the shrink behavior from `mapMaybe`

would force the entire shrink tree to be evaluated when applied to an
impure tree.

It's possible that the function will never return `Just`

, or will only do
so a larger size than we're currently running at. To avoid looping forever,
we limit the number of retries, and grow the size with each retry. If we
retry too many times then the whole generator is discarded.

## Collections

either :: MonadGen m => m a -> m b -> m (Either a b) Source #

Generates either an `a`

or a `b`

.

As the size grows, this generator generates `Right`

s more often than `Left`

s.

either_ :: MonadGen m => m a -> m b -> m (Either a b) Source #

Generates either an `a`

or a `b`

, without bias.

This generator generates as many `Right`

s as it does `Left`

s.

list :: MonadGen m => Range Int -> m a -> m [a] Source #

Generates a list using a `Range`

to determine the length.

seq :: MonadGen m => Range Int -> m a -> m (Seq a) Source #

Generates a seq using a `Range`

to determine the length.

nonEmpty :: MonadGen m => Range Int -> m a -> m (NonEmpty a) Source #

Generates a non-empty list using a `Range`

to determine the length.

set :: (MonadGen m, Ord a) => Range Int -> m a -> m (Set a) Source #

Generates a set using a `Range`

to determine the length.

*This may fail to generate anything if the element generator*
*cannot produce a large enough number of unique items to satify*
*the required set size.*

map :: (MonadGen m, Ord k) => Range Int -> m (k, v) -> m (Map k v) Source #

Generates a map using a `Range`

to determine the length.

*This may fail to generate anything if the keys produced by the*
*generator do not account for a large enough number of unique*
*items to satify the required map size.*

## Subterms

freeze :: MonadGen m => m a -> m (a, m a) Source #

Freeze the size and seed used by a generator, so we can inspect the value which it will produce.

This is used for implementing `list`

and `subtermMVec`

. It allows us to
shrink the list itself before trying to shrink the values inside the list.

subterm :: MonadGen m => m a -> (a -> a) -> m a Source #

Constructs a generator from a sub-term generator.

*Shrinks to the sub-term if possible.*

subtermM :: MonadGen m => m a -> (a -> m a) -> m a Source #

Constructs a generator from a sub-term generator.

*Shrinks to the sub-term if possible.*

subterm2 :: MonadGen m => m a -> m a -> (a -> a -> a) -> m a Source #

Constructs a generator from two sub-term generators.

*Shrinks to one of the sub-terms if possible.*

subtermM2 :: MonadGen m => m a -> m a -> (a -> a -> m a) -> m a Source #

Constructs a generator from two sub-term generators.

*Shrinks to one of the sub-terms if possible.*

subterm3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> a) -> m a Source #

Constructs a generator from three sub-term generators.

*Shrinks to one of the sub-terms if possible.*

subtermM3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> m a) -> m a Source #

Constructs a generator from three sub-term generators.

*Shrinks to one of the sub-terms if possible.*

## Combinations & Permutations

subsequence :: MonadGen m => [a] -> m [a] Source #

Generates a random subsequence of a list.

For example:

Gen.print (Gen.subsequence [1..5])

=== Outcome === [1,2,4] === Shrinks === [] [2,4] [1,4] [1,2]

subset :: MonadGen m => Set a -> m (Set a) Source #

Generates a random subset of a set.

*This shrinks towards the empty set.*

shuffle :: MonadGen m => [a] -> m [a] Source #

Generates a random permutation of a list.

*This shrinks towards the order of the list being identical to the input*
*list.*

shuffleSeq :: MonadGen m => Seq a -> m (Seq a) Source #

Generates a random permutation of a sequence.

*This shrinks towards the order of the sequence being identical to the input*
*sequence.*

# Sampling Generators

sample :: MonadIO m => Gen a -> m a Source #

Generate a sample from a generator.

This function is useful for examining a `Gen`

in GHCi or other contexts.
It is not appropriate for use in a test suite directly. You will only
get a single sample from this function, and it will not give you
a property test. The seed is random, so the test is not deterministic.

If you only want a single test to run, then use

:`withTests`

1

prop_OnlyRunOnce :: Property prop_OnlyRunOnce =`withTests`

1 $`property`

$ do i <- Gen.int i /== 0

print :: (MonadIO m, Show a) => Gen a -> m () Source #

Run a generator with a random seed and print the outcome, and the first level of shrinks.

`Gen.print (Gen.``enum`

'a' 'f')

=== Outcome === 'd' === Shrinks === 'a' 'b' 'c'

printTree :: (MonadIO m, Show a) => Gen a -> m () Source #

Run a generator with a random seed and print the resulting shrink tree.

`Gen.printTree (Gen.``enum`

'a' 'f')

'd' ├╼'a' ├╼'b' │ └╼'a' └╼'c' ├╼'a' └╼'b' └╼'a'

*This may not terminate when the tree is very large.*

printWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m () Source #

Print the value produced by a generator, and the first level of shrinks, for the given size and seed.

Use `print`

to generate a value from a random seed.

printTreeWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m () Source #

Print the shrink tree produced by a generator, for the given size and seed.

Use `printTree`

to generate a value from a random seed.

renderTree :: Show a => Size -> Seed -> Gen a -> String Source #

Render the shrink tree produced by a generator, for the given size and seed.

# Internal

These functions are exported in case you need them in a pinch, but are not part of the public API and may change at any time, even as part of a minor update.

## Transfomer

runGenT :: Size -> Seed -> GenT m a -> TreeT (MaybeT m) a Source #

Runs a generator, producing its shrink tree.

evalGenT :: Monad m => Size -> Seed -> GenT m a -> TreeT m (Maybe a) Source #

Runs a generator, producing its shrink tree.

mapGenT :: (TreeT (MaybeT m) a -> TreeT (MaybeT n) b) -> GenT m a -> GenT n b Source #

Map over a generator's shrink tree.

toTree :: forall m a. (MonadGen m, GenBase m ~ Identity) => m a -> m (Tree a) Source #

Observe a generator's shrink tree.

toTreeMaybeT :: MonadGen m => m a -> m (TreeT (MaybeT (GenBase m)) a) Source #

Lift a predefined shrink tree in to a generator, ignoring the seed and the size.

fromTree :: MonadGen m => Tree a -> m a Source #

Lift a predefined shrink tree in to a generator, ignoring the seed and the size.

fromTreeT :: MonadGen m => TreeT (GenBase m) a -> m a Source #

Lift a predefined shrink tree in to a generator, ignoring the seed and the size.

fromTreeMaybeT :: MonadGen m => TreeT (MaybeT (GenBase m)) a -> m a Source #

Lift a predefined shrink tree in to a generator, ignoring the seed and the size.

## Size

golden :: Size -> Size Source #

Scale a size using the golden ratio.

golden x = x / φ golden x = x / 1.61803..

## Shrinking

atLeast :: Int -> [a] -> Bool Source #

Check that list contains at least a certain number of elements.

## Characters

isSurrogate :: Char -> Bool Source #

Check if a character is in the surrogate category.

isNoncharacter :: Char -> Bool Source #

Check if a character is one of the noncharacters '65534', '65535'.

## Subterms

#### Instances

Foldable (Vec n) Source # | |

Defined in Hedgehog.Internal.Gen fold :: Monoid m => Vec n m -> m # foldMap :: Monoid m => (a -> m) -> Vec n a -> m # foldMap' :: Monoid m => (a -> m) -> Vec n a -> m # foldr :: (a -> b -> b) -> b -> Vec n a -> b # foldr' :: (a -> b -> b) -> b -> Vec n a -> b # foldl :: (b -> a -> b) -> b -> Vec n a -> b # foldl' :: (b -> a -> b) -> b -> Vec n a -> b # foldr1 :: (a -> a -> a) -> Vec n a -> a # foldl1 :: (a -> a -> a) -> Vec n a -> a # elem :: Eq a => a -> Vec n a -> Bool # maximum :: Ord a => Vec n a -> a # minimum :: Ord a => Vec n a -> a # | |

Traversable (Vec n) Source # | |

Functor (Vec n) Source # | |