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

%-----------------------------------------------------------------------------%
% Requires that the array 'x' is lexicographically less than or equal to
% array 'y'. Compares them from first to last element, regardless of indices
%-----------------------------------------------------------------------------%
predicate fzn_lex_lesseq_float(array[int] of var float: x,
array[int] of var float: y) =
let { int: lx = min(index_set(x)),
int: ux = max(index_set(x)),
int: ly = min(index_set(y)),
int: uy = max(index_set(y)),
int: size = max(ux - lx, uy - ly),
array[0..size] of var bool: b }
% b[i] is true if the lexicographical order holds from position i on.
in
b[0]
/\
forall(i in 0..size) (
b[i] = ( x[lx + i] <= y[ly + i]
/\
if i = size then true
else x[lx + i] < y[ly + i] \/ b[i+1] endif
)
);
%-----------------------------------------------------------------------------%