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