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on-restart-benchmarks/share/minizinc/std/fzn_inverse_in_range.mzn
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MiniZinc

include "global_cardinality.mzn";
predicate fzn_inverse_in_range(array[int] of var int: f,
array[int] of var int: invf) =
forall(i in index_set(f)) (
f[i] in index_set(invf) ->
(invf[f[i]] == i)
) /\
forall(j in index_set(invf)) (
invf[j] in index_set(f) ->
(f[invf[j]] == j)
) /\
redundant_constraint( strengthen_injection_for_inverse_in_range(f, invf) )
/\
redundant_constraint( strengthen_injection_for_inverse_in_range(invf, f) );
predicate strengthen_injection_for_inverse_in_range(array[int] of var int: f,
array[int] of var int: invf) =
let {
set of int: sinvf = { i | i in index_set(invf) where
dom(invf[i]) subset index_set(f) },
} in
global_cardinality(f,
[ i | i in sinvf ],
[ 1 | i in sinvf ]
);