This module provides the ability to create a large set of incremental outputs based on a single incremental input, where some subset of the outputs are selected to have specific values, and the remainder are left with a specified default value. The outputs are updated in time proportional to the number of outputs that are changed, independent of the number of outputs that exist. Each function returns a staged function for allocating new output incrementals.

Note that it's possible that no incremental output is actually instantiated for the node that is selected, which is not a problem. Also, one can have more than one incremental that reflects the same output.

An example of where this is useful is for managing focus in a UI, where you want a single value to determine where the focus is, and many individual incrementals for determining whether a given sub-component is in focus.

### Parameters

`Incr : Incremental_kernel.Incremental_intf.S`

### Signature

`val select_one : (module Core_kernel.Hashable.Common with type t = 'a) ‑> 'a Incr.t ‑> ('a ‑> bool Incr.t) Core_kernel.Staged.t`

`select_one` logically constructs a set of outputs such that exactly one is selected as `true` (specifically the one that corresponds to the current value of the input), and the rest are false. The staged function is used for creating incrementals that contain the appropriate output value.

`val select_one' : (module Core_kernel.Hashable.Common with type t = 'a) ‑> 'a option Incr.t ‑> ('a ‑> bool Incr.t) Core_kernel.Staged.t`

`select_one'` is similar to `select_one`, except you can decide to not make a choice (by choosing `None`)

`val select_one_value : (module Core_kernel.Hashable.Common with type t = 'a) ‑> default:'b ‑> ('a * 'b) Incr.t ‑> ('a ‑> 'b Incr.t) Core_kernel.Staged.t`

`select_one_value` is similar to `select_one`, except you also get to specify the value it will take on instead of only `true` and `false`. `select_one h input` is equivalent to:

    select_one_value h ~default:false (let%map x = input in (x, true))

`val select_one_value' : (module Core_kernel.Hashable.Common with type t = 'a) ‑> default:'b ‑> ('a * 'b) option Incr.t ‑> ('a ‑> 'b Incr.t) Core_kernel.Staged.t`

`select_one_value'` is the same as `select_one_value` except if the input is None, then all outputs are `default`.

`val select_many : (module Core_kernel.Hashable.Common with type t = 'a) ‑> 'a list Incr.t ‑> ('a ‑> bool Incr.t) Core_kernel.Staged.t`

`select_many` allows you to specify a group of outputs to be selected as true instead of just one. `select_one h input` is equivalent to:

    select_many h (let%map x = input in [x])

`val select_many_values : (module Core_kernel.Hashable.Common with type t = 'a) ‑> default:'b ‑> ('a * 'b) list Incr.t ‑> ('a ‑> 'b Incr.t) Core_kernel.Staged.t`

`select_many_values` allows you specify a group of outputs to be selected and their corresponding values.

This is the most general of these functions; all the others can be reduced to it.