/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */ /* * Main authors: * Christian Schulte <schulte@gecode.org> * * Copyright: * Christian Schulte, 2006 * * Last modified: * $Date: 2010-10-07 20:52:01 +1100 (Thu, 07 Oct 2010) $ by $Author: schulte $ * $Revision: 11473 $ * * 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. * */ #include <gecode/driver.hh> #include <gecode/int.hh> #include <gecode/minimodel.hh> #include <cstdlib> using namespace Gecode; /** * \brief %Example: All-interval series * * An all-interval series of length \f$n\f$ is a sequence * \f[ * (x_0,x_1,\ldots,n_{n-1}) * \f] * where each \f$x_i\f$ is an integer between \f$0\f$ and \f$n-1\f$ * such that the following conditions hold: * - the \f$x_i\f$ are a permutation of \f$\{0,1,\ldots,n-1\}\f$ * (that is, they are pairwise distinct and take values from * \f$\{0,1,\ldots,n-1\}\f$). * - the differences between adjacent values \f$(d_1,d_2,\ldots,d_{n-1})\f$ * with \f$d_i=\operatorname{abs}(x_i-x_{i-1})\f$ form a permutation of * \f$\{1,2,\ldots,n-1\}\f$. * * See also problem 7 at http://www.csplib.org/. * * \ingroup Example */ class AllInterval : public Script { private: /// The numbers IntVarArray x; public: /// Actual model AllInterval(const SizeOptions& opt) : x(*this, opt.size(), 0, opt.size() - 1) { const int n = x.size(); IntVarArgs d(n-1); // Set up variables for distance for (int i=0; i<n-1; i++) d[i] = expr(*this, abs(x[i+1]-x[i]), opt.icl()); // Constrain them to be between 1 and n-1 dom(*this, d, 1, n-1); distinct(*this, x, opt.icl()); distinct(*this, d, opt.icl()); // Break mirror symmetry rel(*this, x[0], IRT_LE, x[1]); // Break symmetry of dual solution rel(*this, d[0], IRT_GR, d[n-2]); branch(*this, x, INT_VAR_SIZE_MIN, INT_VAL_SPLIT_MIN); } /// Constructor for cloning \a e AllInterval(bool share, AllInterval& e) : Script(share, e) { x.update(*this, share, e.x); } /// Copy during cloning virtual Space* copy(bool share) { return new AllInterval(share, *this); } /// Print solution virtual void print(std::ostream& os) const { const int n = x.size(); os << "\tx[" << n << "] = {"; for (int i = 0; i < n-1; i++) os << x[i] << "(" << abs(x[i+1].val()-x[i].val()) << "),"; os << x[n-1] << "}" << std::endl; } }; /** \brief Main-function * \relates AllInterval */ int main(int argc, char* argv[]){ SizeOptions opt("AllInterval"); opt.size(1000); opt.iterations(5); opt.icl(ICL_BND); opt.parse(argc, argv); if (opt.size() < 2) { std::cerr << "size must be at least 2!" << std::endl; return -1; } Script::run<AllInterval,DFS,SizeOptions>(opt); return 0; } // STATISTICS: example-any