What about applyTo, applyTo2 and apply2AndMerge for dealing with functions? [RFC]

[Clindbergh]

I am wondering if these functions could be an useful addition or if these are already covered by other packages or if there is some syntax available I am not aware of that would make them superfluous. I find them useful especially because I can do partial application using the original functions.

•   applyTo : a -> (a -> b) -> b
    applyTo value function =
        function value
  
  
    applyMultipleTo: a -> List (a -> b) -> List (b)
    applyMultipleToinput functions =
        map (applyTo input) functions
  

  This allows to do things like this:

    [ sqrt, pow 2, add 3 ]
    |> applyMultipleTo5

•   applyTo2 : a -> (a -> b) -> (a -> c) -> (b, c)
    applyTo2 value function1 function2 =
        (function1 value, function2 value)
  
  
    apply2 : (a -> b) -> (a -> c) -> a -> (b, c)
    apply2 function1 function2 value =
        applyTo2 value function1 function2

  These are similar to applyToMultiple, except that we have exactly two functions and two outputs.

•   apply2AndMerge : (a -> b) -> (a -> c) -> (b -> c -> d) -> a -> d
    apply2AndMerge function1 function2 merge value =
        merge (function1 value) (function2 value)

  This allows something like apply2AndMerge sqrt (pow 2) min which yields a function that returns the smaller value of sqrt and pow 2.
  A version applyMultipleAndMerge might also be interesting, but the function might be a bit more elaborate.

    applyMultipleAndMerge : List (a -> b) -> (b -> b -> d) -> a -> d
    applyMultipleAndMerge functions merge value =

  This would not work in the case the list is empty.