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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% Last modified:
9% $Date: 2012-04-06 16:43:44 +1000 (Fri, 06 Apr 2012) $ by $Author: tack $
10% $Revision: 12706 $
11%
12% This file is part of Gecode, the generic constraint
13% development environment:
14% http://www.gecode.org
15%
16% Permission is hereby granted, free of charge, to any person obtaining
17% a copy of this software and associated documentation files (the
18% "Software"), to deal in the Software without restriction, including
19% without limitation the rights to use, copy, modify, merge, publish,
20% distribute, sublicense, and/or sell copies of the Software, and to
21% permit persons to whom the Software is furnished to do so, subject to
22% the following conditions:
23%
24% The above copyright notice and this permission notice shall be
25% included in all copies or substantial portions of the Software.
26%
27% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
28% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
29% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
30% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
31% LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
32% OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
33% WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
34%
35%
36
37% Sums over Boolean variables
38predicate bool_lin_eq(array[int] of int: a, array[int] of var bool: x,
39 var int: c);
40predicate bool_lin_ne(array[int] of int: a, array[int] of var bool: x,
41 var int: c);
42predicate bool_lin_le(array[int] of int: a, array[int] of var bool: x,
43 var int: c);
44predicate bool_lin_lt(array[int] of int: a, array[int] of var bool: x,
45 var int: c);
46predicate bool_lin_ge(array[int] of int: a, array[int] of var bool: x,
47 var int: c);
48predicate bool_lin_gt(array[int] of int: a, array[int] of var bool: x,
49 var int: c);
50
51predicate bool_sum_eq(array[int] of var bool: x, var int: c) =
52 bool_lin_eq([1 | i in index_set(x)],x,c);
53predicate bool_sum_ne(array[int] of var bool: x, var int: c) =
54 bool_lin_ne([1 | i in index_set(x)],x,c);
55predicate bool_sum_le(array[int] of var bool: x, var int: c) =
56 bool_lin_le([1 | i in index_set(x)],x,c);
57predicate bool_sum_lt(array[int] of var bool: x, var int: c) =
58 bool_lin_lt([1 | i in index_set(x)],x,c);
59predicate bool_sum_ge(array[int] of var bool: x, var int: c) =
60 bool_lin_ge([1 | i in index_set(x)],x,c);
61predicate bool_sum_gt(array[int] of var bool: x, var int: c) =
62 bool_lin_gt([1 | i in index_set(x)],x,c);
63
64predicate float_sinh(var float: a, var float: b) =
65 b == (exp(a)-exp(-a))/2.0;
66
67predicate float_cosh(var float: a, var float: b) =
68 b == (exp(a)+exp(-a))/2.0;
69
70predicate float_tanh(var float: a, var float: b) =
71 let { var float: e2a = exp(2.0*a) } in
72 b == (e2a-1.0)/(e2a+1.0);
73
74predicate float_ne_reif(var float: a, var float: b, var bool: c) =
75 not c <-> a==b;