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dekker.one
1predicate fzn_diffn_nonstrict_k_reif(array[int,int] of var int: box_posn,
2 array[int,int] of var int: box_size, var bool: b) =
3 let { set of int: DIMS= index_set_2of2(box_posn) } in
4 b <-> forall(b1, b2 in index_set_1of2(box_posn) where b1 < b2)
5 (fzn_diffn_nonstrict_nonoverlap_k_for_reif([ box_posn[b1,j] | j in DIMS ],
6 [ box_size[b1,j] | j in DIMS ],
7 [ box_posn[b2,j] | j in DIMS ],
8 [ box_size[b2,j] | j in DIMS ] )
9 )
10 ;
11
12predicate fzn_diffn_nonstrict_nonoverlap_k_for_reif(array[int] of var int: x1,
13 array[int] of var int: w1,
14 array[int] of var int: x2,
15 array[int] of var int: w2) =
16 exists(j in index_set(x1))
17 (w1[j] = 0 \/ w2[j] = 0 \/ x1[j] + w1[j] <= x2[j] \/ x2[j] + w2[j] <= x1[j]);