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123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143%% 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 variablespredicate 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 gecode_int_pow(var int: x, int: y, var int: z);predicate int_pow(var int: x, var int: y, var int: z) = if is_fixed(y) then gecode_int_pow(x,fix(y),z) else let { array[lb(y)..ub(y)] of var int: pow_x = array1d(lb(y)..ub(y), [if y=i then x else 0 endif | i in lb(y)..ub(y)]); array[lb(y)..ub(y)] of var int: pow_table = array1d(lb(y)..ub(y), [pow(pow_x[i],i) | i in lb(y)..ub(y)]); } in z=pow_table[y] endif;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);