Copyright | (c) Edward Kmett 2009 |
---|---|

License | BSD-style |

Maintainer | ekmett@gmail.com |

Stability | experimental |

Portability | non-portable (type families, MPTCs) |

Safe Haskell | Safe |

Language | Haskell98 |

Utilities for working with Monoids that conflict with names from the Prelude, Data.Foldable, Control.Monad or elsewhere. Intended to be imported qualified.

import Data.Generator.Combinators as Generator

## Synopsis

- mapM_ :: (Generator c, Monad m) => (Elem c -> m b) -> c -> m ()
- forM_ :: (Generator c, Monad m) => c -> (Elem c -> m b) -> m ()
- msum :: (Generator c, MonadPlus m, m a ~ Elem c) => c -> m a
- traverse_ :: (Generator c, Applicative f) => (Elem c -> f b) -> c -> f ()
- for_ :: (Generator c, Applicative f) => c -> (Elem c -> f b) -> f ()
- asum :: (Generator c, Alternative f, f a ~ Elem c) => c -> f a
- and :: (Generator c, Elem c ~ Bool) => c -> Bool
- or :: (Generator c, Elem c ~ Bool) => c -> Bool
- any :: Generator c => (Elem c -> Bool) -> c -> Bool
- all :: Generator c => (Elem c -> Bool) -> c -> Bool
- foldMap :: (Monoid m, Generator c) => (Elem c -> m) -> c -> m
- fold :: (Monoid m, Generator c, Elem c ~ m) => c -> m
- toList :: Generator c => c -> [Elem c]
- concatMap :: Generator c => (Elem c -> [b]) -> c -> [b]
- elem :: (Generator c, Eq (Elem c)) => Elem c -> c -> Bool
- filter :: (Generator c, Reducer (Elem c) m, Monoid m) => (Elem c -> Bool) -> c -> m
- filterWith :: (Generator c, Reducer (Elem c) m, Monoid m) => (m -> n) -> (Elem c -> Bool) -> c -> n
- sum :: (Generator c, Num (Elem c)) => c -> Elem c
- product :: (Generator c, Num (Elem c)) => c -> Elem c
- notElem :: (Generator c, Eq (Elem c)) => Elem c -> c -> Bool

# Monadic Reduction

mapM_ :: (Generator c, Monad m) => (Elem c -> m b) -> c -> m () Source #

Efficiently `mapReduce`

a `Generator`

using the `Action`

monoid. A specialized version of its namesake from Data.Foldable and Control.Monad

`mapReduceWith`

`getAction`

forM_ :: (Generator c, Monad m) => c -> (Elem c -> m b) -> m () Source #

Convenience function as found in Data.Foldable and Control.Monad

`flip`

`mapM_`

msum :: (Generator c, MonadPlus m, m a ~ Elem c) => c -> m a Source #

The sum of a collection of actions, generalizing `concat`

`reduceWith`

`getMonadSum`

# Applicative Reduction

traverse_ :: (Generator c, Applicative f) => (Elem c -> f b) -> c -> f () Source #

Efficiently `mapReduce`

a `Generator`

using the `Traversal`

monoid. A specialized version of its namesake from Data.Foldable

`mapReduce`

`getTraversal`

for_ :: (Generator c, Applicative f) => c -> (Elem c -> f b) -> f () Source #

Convenience function as found in Data.Foldable

`flip`

`traverse_`

asum :: (Generator c, Alternative f, f a ~ Elem c) => c -> f a Source #

The sum of a collection of actions, generalizing `concat`

`reduceWith`

`getAlt`

# Logical Reduction

and :: (Generator c, Elem c ~ Bool) => c -> Bool Source #

Efficiently `reduce`

a `Generator`

that contains values of type `Bool`

`reduceWith`

`getAll`

or :: (Generator c, Elem c ~ Bool) => c -> Bool Source #

Efficiently `reduce`

a `Generator`

that contains values of type `Bool`

`reduceWith`

`getAny`

any :: Generator c => (Elem c -> Bool) -> c -> Bool Source #

Efficiently `mapReduce`

any `Generator`

checking to see if any of its values match the supplied predicate

`mapReduceWith`

`getAny`

all :: Generator c => (Elem c -> Bool) -> c -> Bool Source #

Efficiently `mapReduce`

any `Generator`

checking to see if all of its values match the supplied predicate

`mapReduceWith`

`getAll`

# Monoidal Reduction

foldMap :: (Monoid m, Generator c) => (Elem c -> m) -> c -> m Source #

Efficiently `mapReduce`

a `Generator`

using the `WrappedMonoid`

monoid. A specialized version of its namesake from Data.Foldable

`mapReduceWith`

`unwrapMonoid`

fold :: (Monoid m, Generator c, Elem c ~ m) => c -> m Source #

Efficiently `reduce`

a `Generator`

using the `WrappedMonoid`

monoid. A specialized version of its namesake from Data.Foldable

`reduceWith`

`unwrapMonoid`

# List-Like Reduction

concatMap :: Generator c => (Elem c -> [b]) -> c -> [b] Source #

Type specialization of "foldMap" above

filterWith :: (Generator c, Reducer (Elem c) m, Monoid m) => (m -> n) -> (Elem c -> Bool) -> c -> n Source #

Allows idiomatic specialization of filter by proving a function that will be used to transform the output

sum :: (Generator c, Num (Elem c)) => c -> Elem c Source #

Efficiently sum over the members of any `Generator`

`reduceWith`

`getSum`

product :: (Generator c, Num (Elem c)) => c -> Elem c Source #

Efficiently take the product of every member of a `Generator`

`reduceWith`

`getProduct`