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# maximum(?SetVariable, ?Max)

Maximum of a set of integers
*SetVariable*
- A Set (variable or ground) of integers.
*Max*
- An integer or an FD variable.

## Description

Max is the maximum (i.e. the highest element) of SetVariable.
If Max is given (as an integer or FD variable) then SetVariable is
constrained to have such maximum.
If Max is a free variable, then it is unified with the set's maximum as
an FD variable or an integer (if it is already known).

maximum/2 can thus be used either to declare (or constrain) a maximum
function or to retrieve it.

### Fail Conditions

Fails if Max can not be the maximum of SetVariable.
### Resatisfiable

No.
## Examples

?- S`::[]..[1,2], maximum(S,M).
?- set(S,[],[1,2],[maximum:2], maximum(S,M).
M = 2
?- S`::[]+[1,2], maximum(S,1).
S = [1]
?- set(S,[],[1,2],[maximum:1], maximum(S,M).
S = [1]
M = 1

## See Also

minimum / 2, set / 4, sets / 4, cardinality / 2