<ConsistencyModule:> among(+Values, ?Vars, +Rel, ?N)

+Values

A collection of specifications for integer values

?Vars

A collection (a la collection_to_list/2) of (domain) variables or integers

+Rel

One of the atom: #>, #>=, #<, #=<, #=, #\=

?N

An integer or (domain) variable (array notation accepted)

Description

Constrain the number of occurrences in Vars of values taken from the set of values specified in Value to satisfy the constraint defined by Rel:

           Rel N

Rel can be one of #>, #>=, #<, #=<, #=, #\= (or equivalently, >, >=, <, =<, =, \=).

Values specify the values whose occurrence are counted, and accept the same syntax as domain specification, i.e. each item can be a a simple element, or a range Lo .. Hi. Each element is either an integer, or is a ground expression that evaluates to an integer.

This constraint can be embedded in a constraint expression in its functional form (without the last argument).

ConsistencyModule is the optional module specification to give the consistency level for the propagation for this constraint: gfd_gac for domain (generalised arc) consistency.

This constraint is known as counts in the global constraint catalog, with among and among_vars being the specialised form with #= as the Rel (i.e. The number of occurrences of values from Values is exactly N), the name among is used here to better distinguish this constraint from count/4, for counting the occurrences of a single value. This constraint is implemented by gecode's count() constraint (the variant with an IntSet argument for Values).

Modules

Examples

[eclipse 24]: among([1,3,4,9], [4,5,5,4,1,5], (#=), N).

N = 3


[eclipse 25]: among([1..4,9],  [4,5,5,4,1,5], (#=), N).

N = 3


[eclipse 26]:  among([1..4,3,9], [4,5,5,4,1,5], (#=), N). % repeated value

N = 3

[eclipse 2]: among([], [4,5,5,4,1,5], (#=), N).

N = 0

[eclipse 3]: among([1,2,3], [], (#=), N).

N = 0

[eclipse 5]: among([1,3,4,9], [4,5,5,4,1,5], (#\=), N).

N = N{[-1000000 .. 2, 4 .. 1000000]}