143 lines
6.5 KiB
MiniZinc
143 lines
6.5 KiB
MiniZinc
%
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% Main authors:
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% Guido Tack <tack@gecode.org>
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%
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% Copyright:
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% Guido Tack, 2007
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%
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% This file is part of Gecode, the generic constraint
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% development environment:
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% http://www.gecode.org
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%
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% Permission is hereby granted, free of charge, to any person obtaining
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% a copy of this software and associated documentation files (the
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% "Software"), to deal in the Software without restriction, including
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% without limitation the rights to use, copy, modify, merge, publish,
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% distribute, sublicense, and/or sell copies of the Software, and to
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% permit persons to whom the Software is furnished to do so, subject to
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% the following conditions:
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%
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% The above copyright notice and this permission notice shall be
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% included in all copies or substantial portions of the Software.
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%
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% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
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% LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
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% OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
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% WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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%
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%
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% Sums over Boolean variables
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predicate bool_lin_eq(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_lin_ne(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_lin_le(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_lin_lt(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_lin_ge(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_lin_gt(array[int] of int: a, array[int] of var bool: x,
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var int: c);
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predicate bool_sum_eq(array[int] of var bool: x, var int: c) =
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bool_lin_eq([1 | i in index_set(x)],x,c);
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predicate bool_sum_ne(array[int] of var bool: x, var int: c) =
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bool_lin_ne([1 | i in index_set(x)],x,c);
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predicate bool_sum_le(array[int] of var bool: x, var int: c) =
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bool_lin_le([1 | i in index_set(x)],x,c);
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predicate bool_sum_lt(array[int] of var bool: x, var int: c) =
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bool_lin_lt([1 | i in index_set(x)],x,c);
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predicate bool_sum_ge(array[int] of var bool: x, var int: c) =
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bool_lin_ge([1 | i in index_set(x)],x,c);
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predicate bool_sum_gt(array[int] of var bool: x, var int: c) =
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bool_lin_gt([1 | i in index_set(x)],x,c);
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predicate float_sinh(var float: a, var float: b) =
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b == (exp(a)-exp(-a))/2.0;
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predicate float_cosh(var float: a, var float: b) =
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b == (exp(a)+exp(-a))/2.0;
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predicate float_tanh(var float: a, var float: b) =
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let { var float: e2a = exp(2.0*a) } in
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b == (e2a-1.0)/(e2a+1.0);
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predicate float_ne_reif(var float: a, var float: b, var bool: c) =
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not c <-> a==b;
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predicate array_float_element(var int: b, array[int] of float: as, var float: c) =
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b in index_set(as) /\
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forall(d in index_set(as))( b = d -> as[d] = c );
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predicate array_var_float_element(var int: b, array[int] of var float: as, var float: c) =
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b in index_set(as) /\
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forall(d in index_set(as))( b = d -> as[d] = c );
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predicate gecode_int_pow(var int: x, int: y, var int: z);
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predicate int_pow(var int: x, var int: y, var int: z) =
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if is_fixed(y) then gecode_int_pow(x,fix(y),z)
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else let {
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array[lb(y)..ub(y)] of var int: pow_x = array1d(lb(y)..ub(y),
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[if y=i then x else 0 endif | i in lb(y)..ub(y)]);
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array[lb(y)..ub(y)] of var int: pow_table = array1d(lb(y)..ub(y),
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[pow(pow_x[i],i) | i in lb(y)..ub(y)]);
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} in z=pow_table[y]
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endif;
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predicate array_bool_and_imp(array [int] of var bool: as, var bool: r);
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predicate array_bool_or_imp(array [int] of var bool: as, var bool: r);
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predicate array_bool_xor_imp(array [int] of var bool: as, var bool: r);
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predicate bool_and_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_clause_imp(array [int] of var bool: as,
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array [int] of var bool: bs, var bool: r);
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predicate bool_ge_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_gt_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_le_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_lt_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_ne_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_or_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_xor_imp(var bool: a, var bool: b, var bool: r);
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predicate bool_lin_eq_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate bool_lin_ge_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate bool_lin_gt_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate bool_lin_le_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate bool_lin_lt_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate bool_lin_ne_imp(array [int] of int: as, array [int] of var bool: bs,
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var int: c, var bool: r);
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predicate int_eq_imp(var int: a, var int: b, var bool: r);
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predicate int_ge_imp(var int: a, var int: b, var bool: r);
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predicate int_gt_imp(var int: a, var int: b, var bool: r);
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predicate int_le_imp(var int: a, var int: b, var bool: r);
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predicate int_lt_imp(var int: a, var int: b, var bool: r);
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predicate int_ne_imp(var int: a, var int: b, var bool: r);
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predicate int_lin_eq_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate int_lin_ge_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate int_lin_gt_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate int_lin_le_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate int_lin_lt_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate int_lin_ne_imp(array [int] of int: as, array [int] of var int: bs,
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int: c, var bool: r);
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predicate set_in_imp(var int: x, set of int: S, var bool: r);
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