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dekker.one
1%
2% Main authors:
3% Guido Tack <tack@gecode.org>
4%
5% Copyright:
6% Guido Tack, 2007
7%
8% This file is part of Gecode, the generic constraint
9% development environment:
10% http://www.gecode.org
11%
12% Permission is hereby granted, free of charge, to any person obtaining
13% a copy of this software and associated documentation files (the
14% "Software"), to deal in the Software without restriction, including
15% without limitation the rights to use, copy, modify, merge, publish,
16% distribute, sublicense, and/or sell copies of the Software, and to
17% permit persons to whom the Software is furnished to do so, subject to
18% the following conditions:
19%
20% The above copyright notice and this permission notice shall be
21% included in all copies or substantial portions of the Software.
22%
23% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
24% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
25% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
26% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
27% LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
28% OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
29% WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
30%
31%
32
33include "int_set_channel.mzn";
34
35% i in z <-> exists (j in x) (i in y[j])
36predicate gecode_array_set_element_union(var set of int: x,
37 array[int] of var set of int: y, var set of int: z);
38
39predicate fzn_roots(array[int] of var int: x, var set of int: s,
40 var set of int: t) =
41 if (length(x)=0 \/ ub(s)={} \/ ub(t)={} \/ min(index_set(x)) < 0 \/ min(ub(t)) < 1) then
42 % All values in 's' must map to a value in 't'.
43 forall(i in ub(s)) (
44 i in s -> x[i] in t
45 ) /\
46 % All values in 't' must be mapped from a value in 's'.
47 forall(i in ub(t)) (
48 i in t -> forall(j in index_set(x)) (x[j] == i -> j in s)
49 )
50 else let {
51 array[1..max(ub(t))] of var set of 0..max(index_set(x)): y,
52 } in
53 int_set_channel(x,y)
54 /\
55 gecode_array_set_element_union(t,y,s)
56 endif;