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dekker.one
1%-----------------------------------------------------------------------------%
2% Requires that the array 'x' is lexicographically less than or equal to
3% array 'y'. Compares them from first to last element, regardless of indices
4%-----------------------------------------------------------------------------%
5
6predicate fzn_lex_lesseq_float(array[int] of var float: x,
7 array[int] of var float: y) =
8 let { int: lx = min(index_set(x)),
9 int: ux = max(index_set(x)),
10 int: ly = min(index_set(y)),
11 int: uy = max(index_set(y)),
12 int: size = max(ux - lx, uy - ly),
13 array[0..size] of var bool: b }
14 % b[i] is true if the lexicographical order holds from position i on.
15 in
16 b[0]
17 /\
18 forall(i in 0..size) (
19 b[i] = ( x[lx + i] <= y[ly + i]
20 /\
21 if i = size then true
22 else x[lx + i] < y[ly + i] \/ b[i+1] endif
23 )
24 );
25
26%-----------------------------------------------------------------------------%