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# impose_domain(?Var, ?DomVar)

Restrict (if required) the domain of Var t othe domain of DomVar.

Var
  Variable or number
DomVar
  Variable or number

## Description

Primitive for restricting the domain of Var to the domain of DomVar. Any values in the domain of Var, which are not also in the domain of DomVar, are removed. DomVar remains unaffected. The domain update on Var may fail (when the update empties the domain), succeed (possibly updating the variable's domain), or instantiate the variable (in the case where the domain gets restricted to a singleton value). Note that if DomVar's type is integer, the integrality will be imposed on Var as well as the domain values.

Note that this predicate is intended for use only in implementing constraint propagators, and should not be called from ordinary user code. The waking behaviour is the same as discussed for impose_min/2 and impose_max/2. Apart from this, the effect is similar to unifying Var with a copy of DomVar.

## Examples

        ?- X::1..9, Y::5..7, impose_domain(X, Y).
        X = X{5 .. 7}
        Y = Y{5 .. 7}
        Yes (0.00s cpu)

        ?- X::1..9, impose_domain(X, 7).
        X = 7
        Yes (0.00s cpu)

        ?- X::1..9, Y::4.1..7.5, impose_domain(X, Y).
        X = X{5 .. 7}
        Y = Y{4.1 .. 7.5}
        Yes (0.00s cpu)

        ?- X::1.0..9.0, Y::5..7, impose_domain(X, Y).
        X = X{5 .. 7}
        Y = Y{5 .. 7}
        Yes (0.00s cpu)

        ?- X::1..3, Y::5..7, impose_domain(X, Y).
        No (0.00s cpu)

        ?- Y::1..5, impose_domain(3, Y).
        Y = Y{1 .. 5}
        Yes (0.00s cpu)

        ?- Y::1..5, impose_domain(6, Y).
        No (0.00s cpu)

        ?- Y::1..5, impose_domain(X, Y).
        Y = Y{1 .. 5}
        X = X{1 .. 5}
        Yes (0.00s cpu)

## See Also

impose_min / 2, impose_max / 2, impose_bounds / 3, exclude / 2, exclude_range / 3