Module Fun


module Fun: sig .. end
Utilities for functions.

val identity : 'a -> 'a
The identity funcrion.
val const : 'a -> 'b -> 'a
const c is the function that maps every value to c.
val compose : ('a -> 'b) -> ('c -> 'a) -> 'c -> 'b
compose f g composes the functions f and g such that (compose f g) x = f (g x) for all x.
val (|>) : 'a -> ('a -> 'b) -> 'b
x |> f is equivalent to f x. This operator is useful to chain function applications in the form x |> f |> g |> h ....
val iterate : ('a -> 'a) -> int -> 'a -> 'a
Function power; iterate f n = f^n.
val curry : ('a * 'b -> 'c) -> 'a -> 'b -> 'c
Function currying; (curry f) x y = f (x, y) for all x and y.
val uncurry : ('a -> 'b -> 'c) -> 'a * 'b -> 'c
Function uncurrying; (uncurry f) (x, y) = f x y for all x and y.
val non : ('a -> bool) -> 'a -> bool
non p returns the negation of the predicate p, i.e., non p x = not (p x).
val fix : ('a -> 'a) -> 'a -> 'a
fix f x returns the fixed point of the function f with starting point x if it exists, or loops forever if f does not converge. The values are compared using the structural equality = operator.
val fix_cmp : ('a -> 'a -> bool) -> ('a -> 'a) -> 'a -> 'a
fix_cmp eq f x returns the fixed point of the function f with starting point x if it exists, or loops forever if f does not converge. The values are compared using the function eq.
exception No_fixed_point
Raised by bounded_fix if no fixed point is reached within the iterations bound.
val bounded_fix : ('a -> 'a) -> 'a -> int -> 'a
bounded_fix f x bound returns the fixed point of the function f with starting point x if it is reached within bound iterations. The values are compared using the structural equality = operator.
Raises No_fixed_point if f does not converge within bound iterations.
val bounded_fix_cmp : ('a -> 'a -> bool) -> ('a -> 'a) -> 'a -> int -> 'a
bounded_fix_cmp eq f x bound returns the fixed point of the function f with starting point x if it is reached within bound iterations. The values are compared using the function eq.
Raises No_fixed_point if f does not converge within bound iterations.