Copyright	Copyright (C) 2005 Uwe Schmidt
License	MIT
Maintainer	Uwe Schmidt (uwe\@fh-wedel.de)
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Control.Arrow.ArrowIf

Description

Conditionals for List Arrows

This module defines conditional combinators for list arrows.

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

Synopsis

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.

Only ifA and orElse don't have default implementations

Minimal complete definition

ifA, orElse

Methods

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)

neg :: a b c -> a b b Source #

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

Instances

Instances details

ArrowIf IOLA Source #
Instance details Defined in Control.Arrow.IOListArrow Methods ifA :: IOLA b c -> IOLA b d -> IOLA b d -> IOLA b d Source # ifP :: (b -> Bool) -> IOLA b d -> IOLA b d -> IOLA b d Source # neg :: IOLA b c -> IOLA b b Source # when :: IOLA b b -> IOLA b c -> IOLA b b Source # whenP :: IOLA b b -> (b -> Bool) -> IOLA b b Source # whenNot :: IOLA b b -> IOLA b c -> IOLA b b Source # whenNotP :: IOLA b b -> (b -> Bool) -> IOLA b b Source # guards :: IOLA b c -> IOLA b d -> IOLA b d Source # guardsP :: (b -> Bool) -> IOLA b d -> IOLA b d Source # filterA :: IOLA b c -> IOLA b b Source # containing :: IOLA b c -> IOLA c d -> IOLA b c Source # notContaining :: IOLA b c -> IOLA c d -> IOLA b c Source # orElse :: IOLA b c -> IOLA b c -> IOLA b c Source # choiceA :: [IfThen (IOLA b c) (IOLA b d)] -> IOLA b d Source # tagA :: IOLA b c -> IOLA b (Either b b) Source # spanA :: IOLA b b -> IOLA [b] ([b], [b]) Source # partitionA :: IOLA b b -> IOLA [b] ([b], [b]) Source #
ArrowIf LA Source #
Instance details Defined in Control.Arrow.ListArrow Methods ifA :: LA b c -> LA b d -> LA b d -> LA b d Source # ifP :: (b -> Bool) -> LA b d -> LA b d -> LA b d Source # neg :: LA b c -> LA b b Source # when :: LA b b -> LA b c -> LA b b Source # whenP :: LA b b -> (b -> Bool) -> LA b b Source # whenNot :: LA b b -> LA b c -> LA b b Source # whenNotP :: LA b b -> (b -> Bool) -> LA b b Source # guards :: LA b c -> LA b d -> LA b d Source # guardsP :: (b -> Bool) -> LA b d -> LA b d Source # filterA :: LA b c -> LA b b Source # containing :: LA b c -> LA c d -> LA b c Source # notContaining :: LA b c -> LA c d -> LA b c Source # orElse :: LA b c -> LA b c -> LA b c Source # choiceA :: [IfThen (LA b c) (LA b d)] -> LA b d Source # tagA :: LA b c -> LA b (Either b b) Source # spanA :: LA b b -> LA [b] ([b], [b]) Source # partitionA :: LA b b -> LA [b] ([b], [b]) Source #
ArrowIf (IOSLA s) Source #
Instance details Defined in Control.Arrow.IOStateListArrow Methods ifA :: IOSLA s b c -> IOSLA s b d -> IOSLA s b d -> IOSLA s b d Source # ifP :: (b -> Bool) -> IOSLA s b d -> IOSLA s b d -> IOSLA s b d Source # neg :: IOSLA s b c -> IOSLA s b b Source # when :: IOSLA s b b -> IOSLA s b c -> IOSLA s b b Source # whenP :: IOSLA s b b -> (b -> Bool) -> IOSLA s b b Source # whenNot :: IOSLA s b b -> IOSLA s b c -> IOSLA s b b Source # whenNotP :: IOSLA s b b -> (b -> Bool) -> IOSLA s b b Source # guards :: IOSLA s b c -> IOSLA s b d -> IOSLA s b d Source # guardsP :: (b -> Bool) -> IOSLA s b d -> IOSLA s b d Source # filterA :: IOSLA s b c -> IOSLA s b b Source # containing :: IOSLA s b c -> IOSLA s c d -> IOSLA s b c Source # notContaining :: IOSLA s b c -> IOSLA s c d -> IOSLA s b c Source # orElse :: IOSLA s b c -> IOSLA s b c -> IOSLA s b c Source # choiceA :: [IfThen (IOSLA s b c) (IOSLA s b d)] -> IOSLA s b d Source # tagA :: IOSLA s b c -> IOSLA s b (Either b b) Source # spanA :: IOSLA s b b -> IOSLA s [b] ([b], [b]) Source # partitionA :: IOSLA s b b -> IOSLA s [b] ([b], [b]) Source #
ArrowIf (SLA s) Source #
Instance details Defined in Control.Arrow.StateListArrow Methods ifA :: SLA s b c -> SLA s b d -> SLA s b d -> SLA s b d Source # ifP :: (b -> Bool) -> SLA s b d -> SLA s b d -> SLA s b d Source # neg :: SLA s b c -> SLA s b b Source # when :: SLA s b b -> SLA s b c -> SLA s b b Source # whenP :: SLA s b b -> (b -> Bool) -> SLA s b b Source # whenNot :: SLA s b b -> SLA s b c -> SLA s b b Source # whenNotP :: SLA s b b -> (b -> Bool) -> SLA s b b Source # guards :: SLA s b c -> SLA s b d -> SLA s b d Source # guardsP :: (b -> Bool) -> SLA s b d -> SLA s b d Source # filterA :: SLA s b c -> SLA s b b Source # containing :: SLA s b c -> SLA s c d -> SLA s b c Source # notContaining :: SLA s b c -> SLA s c d -> SLA s b c Source # orElse :: SLA s b c -> SLA s b c -> SLA s b c Source # choiceA :: [IfThen (SLA s b c) (SLA s b d)] -> SLA s b d Source # tagA :: SLA s b c -> SLA s b (Either b b) Source # spanA :: SLA s b b -> SLA s [b] ([b], [b]) Source # partitionA :: SLA s b b -> SLA s [b] ([b], [b]) Source #

data IfThen a b Source #

an auxiliary data type for choiceA

Constructors

a :-> b