1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
|
%
% Main authors:
% Guido Tack <tack@gecode.org>
%
% Copyright:
% Guido Tack, 2007
%
% This file is part of Gecode, the generic constraint
% development environment:
% http://www.gecode.org
%
% Permission is hereby granted, free of charge, to any person obtaining
% a copy of this software and associated documentation files (the
% "Software"), to deal in the Software without restriction, including
% without limitation the rights to use, copy, modify, merge, publish,
% distribute, sublicense, and/or sell copies of the Software, and to
% permit persons to whom the Software is furnished to do so, subject to
% the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
% LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
% OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
% WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
%
%
% Sums over Boolean variables
predicate bool_lin_eq(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_lin_ne(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_lin_le(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_lin_lt(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_lin_ge(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_lin_gt(array[int] of int: a, array[int] of var bool: x,
var int: c);
predicate bool_sum_eq(array[int] of var bool: x, var int: c) =
bool_lin_eq([1 | i in index_set(x)],x,c);
predicate bool_sum_ne(array[int] of var bool: x, var int: c) =
bool_lin_ne([1 | i in index_set(x)],x,c);
predicate bool_sum_le(array[int] of var bool: x, var int: c) =
bool_lin_le([1 | i in index_set(x)],x,c);
predicate bool_sum_lt(array[int] of var bool: x, var int: c) =
bool_lin_lt([1 | i in index_set(x)],x,c);
predicate bool_sum_ge(array[int] of var bool: x, var int: c) =
bool_lin_ge([1 | i in index_set(x)],x,c);
predicate bool_sum_gt(array[int] of var bool: x, var int: c) =
bool_lin_gt([1 | i in index_set(x)],x,c);
predicate float_sinh(var float: a, var float: b) =
b == (exp(a)-exp(-a))/2.0;
predicate float_cosh(var float: a, var float: b) =
b == (exp(a)+exp(-a))/2.0;
predicate float_tanh(var float: a, var float: b) =
let { var float: e2a = exp(2.0*a) } in
b == (e2a-1.0)/(e2a+1.0);
predicate float_ne_reif(var float: a, var float: b, var bool: c) =
not c <-> a==b;
predicate array_float_element(var int: b, array[int] of float: as, var float: c) =
b in index_set(as) /\
forall(d in index_set(as))( b = d -> as[d] = c );
predicate array_var_float_element(var int: b, array[int] of var float: as, var float: c) =
b in index_set(as) /\
forall(d in index_set(as))( b = d -> as[d] = c );
predicate int_pow(var int: x, var int: y, var int: z) =
let {
array[lb(y)..ub(y)] of var int: pow_table = [
i: if i in dom(y) then pow(x, i) default lb(z) else lb(z) endif
| i in lb(y)..ub(y)
];
} in z = pow_table[y];
predicate array_bool_and_imp(array [int] of var bool: as, var bool: r);
predicate array_bool_or_imp(array [int] of var bool: as, var bool: r);
predicate array_bool_xor_imp(array [int] of var bool: as, var bool: r);
predicate bool_and_imp(var bool: a, var bool: b, var bool: r);
predicate bool_clause_imp(array [int] of var bool: as,
array [int] of var bool: bs, var bool: r);
predicate bool_ge_imp(var bool: a, var bool: b, var bool: r);
predicate bool_gt_imp(var bool: a, var bool: b, var bool: r);
predicate bool_le_imp(var bool: a, var bool: b, var bool: r);
predicate bool_lt_imp(var bool: a, var bool: b, var bool: r);
predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
predicate bool_or_imp(var bool: a, var bool: b, var bool: r);
predicate bool_xor_imp(var bool: a, var bool: b, var bool: r);
predicate bool_lin_eq_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate bool_lin_ge_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate bool_lin_gt_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate bool_lin_le_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate bool_lin_lt_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate bool_lin_ne_imp(array [int] of int: as, array [int] of var bool: bs,
var int: c, var bool: r);
predicate int_eq_imp(var int: a, var int: b, var bool: r);
predicate int_ge_imp(var int: a, var int: b, var bool: r);
predicate int_gt_imp(var int: a, var int: b, var bool: r);
predicate int_le_imp(var int: a, var int: b, var bool: r);
predicate int_lt_imp(var int: a, var int: b, var bool: r);
predicate int_ne_imp(var int: a, var int: b, var bool: r);
predicate int_lin_eq_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate int_lin_ge_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate int_lin_gt_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate int_lin_le_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate int_lin_lt_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate int_lin_ne_imp(array [int] of int: as, array [int] of var int: bs,
int: c, var bool: r);
predicate set_in_imp(var int: x, set of int: S, var bool: r);
|
