Copyright | (c) The University of Glasgow 2001, (c) 2015 KONISHI Yohsuke |
---|---|
License | BSD-style (see the LICENSE file in the distribution) |
Maintainer | ocean0yohsuke@gmail.com |
Stability | experimental |
Portability | --- |
Safe Haskell | Safe |
Language | Haskell2010 |
This module enables you to program in Monad for much deeper level than the usual Monad
module expresses.
You would soon realize exactly what much deeper level means by reading the example codes attached on some functions below.
Note:
- This module never makes mtl(monad-transformer-library) unnessasary at all.
The range of monad, for which this module is effective, is confined to the range that the instances of
are defined. This means disappointingly that this module is not effective for not-Traversable monads such asTraversable
Reader
andState
. - In my opinion this imperfection is hard-wired with the ability of GHC on lambda expression; GHC is unable to parse "
(r->)
" or "((->) r)
" yet. Therefore some fundamental expressions such as "(r->)|$>
" or "fmap (r->)
" are useless, though such calculations might theoretically or mathematically be impossible.
- module Control.Monad
- (-<) :: (a -> b) -> a -> b
- (>-) :: a -> (a -> b) -> b
- (>->) :: (a -> b) -> (b -> c) -> a -> c
- (<-<) :: (b -> c) -> (a -> b) -> a -> c
- (>>==) :: (Monad m1, Monad m2, Traversable m2) => m1 (m2 a) -> (a -> m1 (m2 b)) -> m1 (m2 b)
- (>>~) :: (Monad m1, Monad m2, Traversable m2) => m1 (m2 a) -> m1 (m2 b) -> m1 (m2 b)
- (>-=) :: (Monad m1, Monad m2, Traversable m2) => m1 a -> (a -> m1 (m2 b)) -> m1 (m2 b)
- (->=) :: (Monad m1, Monad m2, Traversable m2) => m2 a -> (a -> m1 (m2 b)) -> m1 (m2 b)
- (>-~) :: (Monad m1, Monad m2, Traversable m2) => m1 a -> m1 (m2 b) -> m1 (m2 b)
- (->~) :: (Monad m1, Monad m2, Traversable m2) => m2 a -> m1 (m2 b) -> m1 (m2 b)
- (>>=>) :: (Monad m1, Monad m2, Traversable m2) => (a -> m1 (m2 b)) -> (b -> m1 (m2 c)) -> a -> m1 (m2 c)
- (>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 (m3 a)) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 (m3 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m3 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m3 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b))
- (>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m3 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 (m3 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m3 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b))
- (>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => (a -> m1 (m2 (m3 b))) -> (b -> m1 (m2 (m3 c))) -> a -> m1 (m2 (m3 c))
- (>>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 (m4 a))) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 (m4 a))) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (--->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m4 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (-->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (-->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (>>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b)))
- (--->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m4 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (-->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (-->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b)))
- (>>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => (a -> m1 (m2 (m3 (m4 b)))) -> (b -> m1 (m2 (m3 (m4 c)))) -> a -> m1 (m2 (m3 (m4 c)))
- (>>>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 (m5 a)))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 (m5 a)))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (---->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m5 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (--->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>----=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (--->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>--->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>-->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>-->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b))))
- (---->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m5 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (--->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>----~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (--->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>--->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>-->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (-->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>-->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (->>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b))))
- (>>>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => (a -> m1 (m2 (m3 (m4 (m5 b))))) -> (b -> m1 (m2 (m3 (m4 (m5 c))))) -> a -> m1 (m2 (m3 (m4 (m5 c))))
Documentation
module Control.Monad
Level-0
bind
(-<) :: (a -> b) -> a -> b infixl 1 Source
Anologous to
, but (-<) is left associative.$
>>>
Just -< 3
Just 3
(>-) :: a -> (a -> b) -> b infixl 1 Source
The auguments-flipped function of
.-<
>>>
3 >- Just
Just 3
>>>
:{
let plus :: Int -> Int -> Int plus x y = x >- \a -> -- (>-) is the level-0 bind function, analogous to (>>==) y >- \b -> a + b in plus 3 4 :} 7
fish
(>->) :: (a -> b) -> (b -> c) -> a -> c infixr 1 Source
The auguments-flipped function of
. <-<
>>>
1 >- ((+1) >-> (*2) >-> (+3))
7
(<-<) :: (b -> c) -> (a -> b) -> a -> c infixr 1 Source
Anologous to
, but the infix preference is low..
>>>
((3+) <-< (2*) <-< (1+)) -< 1
7
Level-2
bind
(>>==) :: (Monad m1, Monad m2, Traversable m2) => m1 (m2 a) -> (a -> m1 (m2 b)) -> m1 (m2 b) infixr 1 Source
The level-2 bind function, analogous to
.>>=
>>>
:{
-- List-List monad [["a","b"]] >>== \x -> -- (>>==) is the level-2 bind function, analogous to (>>==) [[0],[1,2]] >>== \y -> (.**) (x ++ show y) :} [["a0","b0"],["a0","b1","b2"],["a1","a2","b0"],["a1","a2","b1","b2"]]
>>>
:{
let lengthM :: [Int] -> Maybe Int -- (->)-Maybe monad lengthM [] = Nothing lengthM xs = Just (length xs) averageM :: [Int] -> Maybe Double -- (->)-Maybe monad averageM = (-*) sum >>== \s -> lengthM >>== \l -> (.**) (fromIntegral s / fromIntegral l) in [averageM [10, 25, 70], averageM []] :} [Just 35.0,Nothing]
sequence
(>>~) :: (Monad m1, Monad m2, Traversable m2) => m1 (m2 a) -> m1 (m2 b) -> m1 (m2 b) infixr 1 Source
The level-2 sequence function, analogous to
.>>
Definition: m >>~ f = m >>= \_ -> f
cover-bind
(>-=) :: (Monad m1, Monad m2, Traversable m2) => m1 a -> (a -> m1 (m2 b)) -> m1 (m2 b) infixr 1 Source
A level-2 cover-bind function, analogous to
.>>=
Definition: m >-= f = (-*) m >>= f
(->=) :: (Monad m1, Monad m2, Traversable m2) => m2 a -> (a -> m1 (m2 b)) -> m1 (m2 b) infixr 1 Source
A level-2 cover-bind function, analogous to
.>>=
Definition: m ->= f = (.*) m >>= f
cover-sequence
(>-~) :: (Monad m1, Monad m2, Traversable m2) => m1 a -> m1 (m2 b) -> m1 (m2 b) infixr 1 Source
A level-2 cover-sequence function, analogous to
.>>
Definition: m >-~ f = (-*) m >>~ f
(->~) :: (Monad m1, Monad m2, Traversable m2) => m2 a -> m1 (m2 b) -> m1 (m2 b) infixr 1 Source
A level-2 cover-sequence function, analogous to
.>>
Definition: m ->~ f = (.*) m >>~ f
fish
(>>=>) :: (Monad m1, Monad m2, Traversable m2) => (a -> m1 (m2 b)) -> (b -> m1 (m2 c)) -> a -> m1 (m2 c) infixr 1 Source
The level-2 fish function, analogous to
.>=>
Level-3
bind
(>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
The level-3 bind function, analogous to
.>>=
>>>
:{
-- IO-List-List monad (.*) [["a","b"]] >>>= \x -> -- (>>>=) is the level-3 bind function, analogous to (>>==) (.*) [[0],[1,2]] >>>= \y -> (-**) (print (x,y)) >>>~ -- (>>>~) is the level-3 sequence function, analogous to (>>) (.***) (x ++ show y) :} ("a",0) ("a",1) ("a",2) ("b",0) ("b",1) ("b",2) [["a0","b0"],["a0","b1","b2"],["a1","a2","b0"],["a1","a2","b1","b2"]]
Any messy code like this can be neatly rewritten to a code below by grace of some cover functions.
>>>
:{
-- IO-List-List monad [["a","b"]] ->>= \x -> -- (->>=) is a level-3 cover-bind function, analogous to (>>==) [[0],[1,2]] ->>= \y -> print (x,y) >--~ -- (>--~) is a level-3 cover-sequence function, analogous to (>>) (.***) (x ++ show y) :} ("a",0) ("a",1) ("a",2) ("b",0) ("b",1) ("b",2) [["a0","b0"],["a0","b1","b2"],["a1","a2","b0"],["a1","a2","b1","b2"]]
sequence
(>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 (m3 a)) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
cover-bind
(>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
(->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 (m3 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
(>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m3 a) -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
(>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
(->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
(-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m3 a -> (a -> m1 (m2 (m3 b))) -> m1 (m2 (m3 b)) infixr 1 Source
cover-sequence
(>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
(->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
(-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m3 a -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
(>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m2 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
(->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m2 (m3 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
(>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => m1 (m3 a) -> m1 (m2 (m3 b)) -> m1 (m2 (m3 b)) infixr 1 Source
fish
(>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3) => (a -> m1 (m2 (m3 b))) -> (b -> m1 (m2 (m3 c))) -> a -> m1 (m2 (m3 c)) infixr 1 Source
Level-4
bind
(>>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 (m4 a))) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
sequence
(>>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 (m4 a))) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
cover-bind
(--->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m4 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(-->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 a -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(-->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m4 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 a) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m4 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 (m4 b)))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
cover-sequence
(--->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m4 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(-->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 a -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(-->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m3 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m4 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 a) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m2 (m3 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m3 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m4 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
(>>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => m1 (m2 (m3 a)) -> m1 (m2 (m3 (m4 b))) -> m1 (m2 (m3 (m4 b))) infixr 1 Source
fish
(>>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4) => (a -> m1 (m2 (m3 (m4 b)))) -> (b -> m1 (m2 (m3 (m4 c)))) -> a -> m1 (m2 (m3 (m4 c))) infixr 1 Source
Level-5
bind
(>>>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 (m5 a)))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
sequence
(>>>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 (m5 a)))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
cover-bind
(---->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m5 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(--->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>----=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 a -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(--->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>--->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m5 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>-->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>---=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 a) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>-->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>-->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m5 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>->-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>--=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 a)) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->>>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>->>=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>->=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m5 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>>-=) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 a))) -> (a -> m1 (m2 (m3 (m4 (m5 b))))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
cover-sequence
(---->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m5 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(--->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>----~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 a -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(--->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m4 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>--->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m5 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>-->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>---~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 a) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(-->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m3 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>-->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m4 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>-->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m5 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>->-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>--~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 a)) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(->>>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m2 (m3 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>->>>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m3 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>->>~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m4 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>->~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m5 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
(>>>>-~) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => m1 (m2 (m3 (m4 a))) -> m1 (m2 (m3 (m4 (m5 b)))) -> m1 (m2 (m3 (m4 (m5 b)))) infixr 1 Source
fish
(>>>>>=>) :: (Monad m1, Monad m2, Traversable m2, Monad m3, Traversable m3, Monad m4, Traversable m4, Monad m5, Traversable m5) => (a -> m1 (m2 (m3 (m4 (m5 b))))) -> (b -> m1 (m2 (m3 (m4 (m5 c))))) -> a -> m1 (m2 (m3 (m4 (m5 c)))) infixr 1 Source