package monadlib

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package monadlib

monadlib
- Applicative
  - Applicative
  - Base
  - Make
    
    A
  - Transform
    
    A
    
    Inner
- LazyList
- Monad
  - BaseCollectionM
  - BaseLazyPlus
  - BasePlus
  - CollectionOpt
    
    C
  - CollectionState
    
    C
    
    T
  - CollectionWriter
    
    C
    
    Mon
  - Continuation
    
    T
  - Error
    
    E
  - LazyListM
  - LazyM
  - LazyPlus
  - LazyT
    
    M
  - List
  - ListT
    
    M
  - Make
    
    M
  - MakeLazyPlus
    
    M
  - MakePlus
    
    M
  - MakeStream
    
    M
  - MakeStreamC
    
    M
  - Monad
  - MonadPlus
  - Monoid
  - Option
  - OptionT
    
    M
  - Reader
    
    T
  - State
    
    T
  - StateT
    
    M
    
    T
  - Stream
  - StreamC
  - Writer
    
    M
  - WriterT
    
    M
    
    Mon
- TagTree
  - Make
    
    Tag
  - Tree

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include BaseLazyPlus with type 'a m = 'a LazyList.t

include BatInterfaces.Monad with type 'a m = 'a LazyList.t

type 'a m = 'a LazyList.t

The type of a monad producing values of type 'a.

val lplus : 'a m -> 'a m Lazy.t -> 'a m

include MonadPlus with type 'a m := 'a m

include BasePlus with type 'a m := 'a m

include BatInterfaces.Monad with type 'a m := 'a m

val zero : unit -> 'a m

val plus : 'a m -> 'a m -> 'a m

val null : 'a m -> bool

null x implies that x is zero. If you do not want to or cannot answer whether a given x is zero, then null x should be false. I have provided this so that streams can be implemented more efficiently.

include Monad with type 'a m := 'a m

include BatInterfaces.Monad with type 'a m := 'a m

val bind : 'a m -> ('a -> 'b m) -> 'b m

Monadic binding.

bind m f executes first m then f, using the result of m.

include Applicative.Applicative with type 'a m := 'a m

include Applicative.Base with type 'a m := 'a m

val return : 'a -> 'a m

val (<*>) : ('a -> 'b) m -> 'a m -> 'b m

val lift1 : ('a -> 'b) -> 'a m -> 'b m

val lift2 : ('a -> 'b -> 'c) -> 'a m -> 'b m -> 'c m

val lift3 : ('a -> 'b -> 'c -> 'd) -> 'a m -> 'b m -> 'c m -> 'd m

val lift4 : 
  ('a -> 'b -> 'c -> 'd -> 'e) ->
  'a m ->
  'b m ->
  'c m ->
  'd m ->
  'e m

val (<$>) : ('a -> 'b) -> 'a m -> 'b m

Alias for lift1.

val sequence : 'a m list -> 'a list m

val map_a : ('a -> 'b m) -> 'a list -> 'b list m

val (<*) : 'a m -> 'b m -> 'a m

val (>*) : 'a m -> 'b m -> 'b m

val (>>=) : 'a m -> ('a -> 'b m) -> 'b m

val join : 'a m m -> 'a m

val filter_m : ('a -> bool m) -> 'a list -> 'a list m

val onlyif : bool -> unit m -> unit m

val unless : bool -> unit m -> unit m

val ignore : 'a m -> unit m

val filter : ('a -> bool) -> 'a m -> 'a m

val of_list : 'a list -> 'a m

val sum : 'a list m -> 'a m

val msum : 'a m list -> 'a m

val guard : bool -> 'a m -> 'a m

val transpose : 'a list m -> 'a m list

Generalises matrix transposition. This will loop infinitely if BasePlus.null cannot answer true for zeroes.

val of_llist : 'a LazyList.t -> 'a m

val lsum : 'a LazyList.t m -> 'a m

val lmsum : 'a m LazyList.t -> 'a m

val ltranspose : 'a LazyList.t m -> 'a m LazyList.t

Generalises matrix transposition. You don't necessarily have to worry about correctly implementing BaseLazyPlus.null for this function, since the return value can happily be infinite.