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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
33% Sums over Boolean variables
34predicate bool_lin_eq(array[int] of int: a, array[int] of var bool: x,
35 var int: c);
36predicate bool_lin_ne(array[int] of int: a, array[int] of var bool: x,
37 var int: c);
38predicate bool_lin_le(array[int] of int: a, array[int] of var bool: x,
39 var int: c);
40predicate bool_lin_lt(array[int] of int: a, array[int] of var bool: x,
41 var int: c);
42predicate bool_lin_ge(array[int] of int: a, array[int] of var bool: x,
43 var int: c);
44predicate bool_lin_gt(array[int] of int: a, array[int] of var bool: x,
45 var int: c);
46
47predicate bool_sum_eq(array[int] of var bool: x, var int: c) =
48 bool_lin_eq([1 | i in index_set(x)],x,c);
49predicate bool_sum_ne(array[int] of var bool: x, var int: c) =
50 bool_lin_ne([1 | i in index_set(x)],x,c);
51predicate bool_sum_le(array[int] of var bool: x, var int: c) =
52 bool_lin_le([1 | i in index_set(x)],x,c);
53predicate bool_sum_lt(array[int] of var bool: x, var int: c) =
54 bool_lin_lt([1 | i in index_set(x)],x,c);
55predicate bool_sum_ge(array[int] of var bool: x, var int: c) =
56 bool_lin_ge([1 | i in index_set(x)],x,c);
57predicate bool_sum_gt(array[int] of var bool: x, var int: c) =
58 bool_lin_gt([1 | i in index_set(x)],x,c);
59
60predicate float_sinh(var float: a, var float: b) =
61 b == (exp(a)-exp(-a))/2.0;
62
63predicate float_cosh(var float: a, var float: b) =
64 b == (exp(a)+exp(-a))/2.0;
65
66predicate float_tanh(var float: a, var float: b) =
67 let { var float: e2a = exp(2.0*a) } in
68 b == (e2a-1.0)/(e2a+1.0);
69
70predicate float_ne_reif(var float: a, var float: b, var bool: c) =
71 not c <-> a==b;
72
73predicate array_float_element(var int: b, array[int] of float: as, var float: c) =
74 b in index_set(as) /\
75 forall(d in index_set(as))( b = d -> as[d] = c );
76
77predicate array_var_float_element(var int: b, array[int] of var float: as, var float: c) =
78 b in index_set(as) /\
79 forall(d in index_set(as))( b = d -> as[d] = c );
80
81predicate gecode_int_pow(var int: x, int: y, var int: z);
82
83predicate int_pow(var int: x, var int: y, var int: z) =
84 if is_fixed(y) then gecode_int_pow(x,fix(y),z)
85 else let {
86 array[lb(y)..ub(y)] of var int: pow_x = array1d(lb(y)..ub(y),
87 [if y=i then x else 0 endif | i in lb(y)..ub(y)]);
88 array[lb(y)..ub(y)] of var int: pow_table = array1d(lb(y)..ub(y),
89 [pow(pow_x[i],i) | i in lb(y)..ub(y)]);
90 } in z=pow_table[y]
91 endif;
92
93predicate array_bool_and_imp(array [int] of var bool: as, var bool: r);
94predicate array_bool_or_imp(array [int] of var bool: as, var bool: r);
95predicate array_bool_xor_imp(array [int] of var bool: as, var bool: r);
96
97predicate bool_and_imp(var bool: a, var bool: b, var bool: r);
98predicate bool_clause_imp(array [int] of var bool: as,
99 array [int] of var bool: bs, var bool: r);
100predicate bool_ge_imp(var bool: a, var bool: b, var bool: r);
101predicate bool_gt_imp(var bool: a, var bool: b, var bool: r);
102predicate bool_le_imp(var bool: a, var bool: b, var bool: r);
103predicate bool_lt_imp(var bool: a, var bool: b, var bool: r);
104predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
105predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
106predicate bool_or_imp(var bool: a, var bool: b, var bool: r);
107predicate bool_xor_imp(var bool: a, var bool: b, var bool: r);
108
109predicate bool_lin_eq_imp(array [int] of int: as, array [int] of var bool: bs,
110 var int: c, var bool: r);
111predicate bool_lin_ge_imp(array [int] of int: as, array [int] of var bool: bs,
112 var int: c, var bool: r);
113predicate bool_lin_gt_imp(array [int] of int: as, array [int] of var bool: bs,
114 var int: c, var bool: r);
115predicate bool_lin_le_imp(array [int] of int: as, array [int] of var bool: bs,
116 var int: c, var bool: r);
117predicate bool_lin_lt_imp(array [int] of int: as, array [int] of var bool: bs,
118 var int: c, var bool: r);
119predicate bool_lin_ne_imp(array [int] of int: as, array [int] of var bool: bs,
120 var int: c, var bool: r);
121
122predicate int_eq_imp(var int: a, var int: b, var bool: r);
123predicate int_ge_imp(var int: a, var int: b, var bool: r);
124predicate int_gt_imp(var int: a, var int: b, var bool: r);
125predicate int_le_imp(var int: a, var int: b, var bool: r);
126predicate int_lt_imp(var int: a, var int: b, var bool: r);
127predicate int_ne_imp(var int: a, var int: b, var bool: r);
128
129predicate int_lin_eq_imp(array [int] of int: as, array [int] of var int: bs,
130 int: c, var bool: r);
131predicate int_lin_ge_imp(array [int] of int: as, array [int] of var int: bs,
132 int: c, var bool: r);
133predicate int_lin_gt_imp(array [int] of int: as, array [int] of var int: bs,
134 int: c, var bool: r);
135predicate int_lin_le_imp(array [int] of int: as, array [int] of var int: bs,
136 int: c, var bool: r);
137predicate int_lin_lt_imp(array [int] of int: as, array [int] of var int: bs,
138 int: c, var bool: r);
139predicate int_lin_ne_imp(array [int] of int: as, array [int] of var int: bs,
140 int: c, var bool: r);
141
142predicate set_in_imp(var int: x, set of int: S, var bool: r);