Copyright | Copyright (C) 2005 Uwe Schmidt |
---|---|

License | MIT |

Maintainer | Uwe Schmidt (uwe\@fh-wedel.de) |

Stability | experimental |

Portability | portable |

Safe Haskell | Safe-Inferred |

Language | Haskell98 |

Conditionals for List Arrows

This module defines conditional combinators for list arrows.

The empty list as result represents False, none empty lists True.

- class ArrowList a => ArrowIf a where
- ifA :: a b c -> a b d -> a b d -> a b d
- ifP :: (b -> Bool) -> a b d -> a b d -> a b d
- neg :: a b c -> a b b
- when :: a b b -> a b c -> a b b
- whenP :: a b b -> (b -> Bool) -> a b b
- whenNot :: a b b -> a b c -> a b b
- whenNotP :: a b b -> (b -> Bool) -> a b b
- guards :: a b c -> a b d -> a b d
- guardsP :: (b -> Bool) -> a b d -> a b d
- filterA :: a b c -> a b b
- containing :: a b c -> a c d -> a b c
- notContaining :: a b c -> a c d -> a b c
- orElse :: a b c -> a b c -> a b c
- choiceA :: [IfThen (a b c) (a b d)] -> a b d
- tagA :: a b c -> a b (Either b b)
- spanA :: a b b -> a [b] ([b], [b])
- partitionA :: a b b -> a [b] ([b], [b])

- data IfThen a b = a :-> b

# Documentation

class ArrowList a => ArrowIf a where Source

The interface for arrows as conditionals.

Requires list arrows because False is represented as empty list, True as none empty lists.

ifA :: a b c -> a b d -> a b d -> a b d Source

if lifted to arrows

ifP :: (b -> Bool) -> a b d -> a b d -> a b d Source

shortcut: ` ifP p = ifA (isA p) `

negation: ` neg f = ifA f none this `

when :: a b b -> a b c -> a b b Source

` f `when` g `

: when the predicate g holds, f is applied, else the identity filter this

whenP :: a b b -> (b -> Bool) -> a b b Source

shortcut: ` f `whenP` p = f `when` (isA p) `

whenNot :: a b b -> a b c -> a b b Source

` f `whenNot` g `

: when the predicate g does not hold, f is applied, else the identity filter this

whenNotP :: a b b -> (b -> Bool) -> a b b Source

like `whenP`

guards :: a b c -> a b d -> a b d Source

` g `guards` f `

: when the predicate g holds, f is applied, else none

guardsP :: (b -> Bool) -> a b d -> a b d Source

like `whenP`

filterA :: a b c -> a b b Source

shortcut for ` f `

`guards`

this

containing :: a b c -> a c d -> a b c Source

` f `containing` g `

: keep only those results from f for which g holds

definition: ` f `containing` g = f >>> g `guards` this `

notContaining :: a b c -> a c d -> a b c Source

` f `notContaining` g `

: keep only those results from f for which g does not hold

definition: ` f `notContaining` g = f >>> ifA g none this `

orElse :: a b c -> a b c -> a b c Source

` f `orElse` g `

: directional choice: if f succeeds, the result of f is the result, else g is applied

choiceA :: [IfThen (a b c) (a b d)] -> a b d Source

generalisation of `orElse`

for multi way branches like in case expressions.

An auxiliary data type `IfThen`

with an infix constructor `:->`

is used for writing multi way branches

example: ` choiceA [ p1 :-> e1, p2 :-> e2, this :-> default ] `

tagA :: a b c -> a b (Either b b) Source

tag a value with Left or Right, if arrow has success, input is tagged with Left, else with Right

spanA :: a b b -> a [b] ([b], [b]) Source

split a list value with an arrow and returns a pair of lists.
This is the arrow version of `span`

. The arrow is deterministic.

example: ` runLA (spanA (isA (/= '-'))) "abc-def" `

gives ` [("abc","-def")] `

as result

partitionA :: a b b -> a [b] ([b], [b]) Source

partition a list of values into a pair of lists

This is the arrow Version of `partition`