Projection (kappa-library.Kappa_data_structures.SetMap.Projection)

type elt_a

type elt_b

type 'a map_a

type 'a map_b

type set_a

type set_b

val proj_map : 
  (elt_a -> elt_b) ->
  'b ->
  ('b -> 'a -> 'b) ->
  'a map_a ->
  'b map_b

proj_map f init merge map is a map mapping each element b to the result of the itteration of the function merge over the image in map of the element a in f such that f(a)=b, starting with the element init.

val proj_map_monadic : 
  'parameters ->
  'exceptions_caught_and_uncaught ->
  (elt_a -> elt_b) ->
  'b ->
  ('parameters ->
    'exceptions_caught_and_uncaught ->
    'b ->
    'a ->
    'exceptions_caught_and_uncaught * 'b) ->
  'a map_a ->
  'exceptions_caught_and_uncaught * 'b map_b

val proj_set : (elt_a -> elt_b) -> set_a -> set_b

proj_set f set is the set {f(a) | a\in S}

val proj_set_monadic : 
  'parameters ->
  'exceptions_caught_and_uncaught ->
  ('parameters ->
    'exceptions_caught_and_uncaught ->
    elt_a ->
    'exceptions_caught_and_uncaught * elt_b) ->
  set_a ->
  'exceptions_caught_and_uncaught * set_b

val partition_set : (elt_a -> elt_b) -> set_a -> set_a map_b

partition_set f set is the map mapping any element b with an antecedent for f in the set set, into the set of its antecedents, ie to the set {a\in set | f(a)=b}.

val partition_set_monadic : 
  'parameters ->
  'exceptions_caught_and_uncaught ->
  ('parameters ->
    'exceptions_caught_and_uncaught ->
    elt_a ->
    'exceptions_caught_and_uncaught * elt_b) ->
  set_a ->
  'exceptions_caught_and_uncaught * set_a map_b