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123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- *//* * Main authors: * Christian Schulte <schulte@gecode.org> * * Copyright: * Christian Schulte, 2004 * * 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>
using namespace Gecode;
/** * \brief %Example: Orthogonal latin squares * * \ingroup Example */class OrthoLatinSquare : public Script {protected: /// Size of squares const int n; /// Fields of first square IntVarArray x1; /// Fields of second square IntVarArray x2;
public: /// Access field at position \a i and \a j in first square IntVar& y1(int i, int j) { return x1[i*n+j]; } /// Access field at position \a i and \a j in first square const IntVar& y1(int i, int j) const { return x1[i*n+j]; } /// Access field at position \a i and \a j in second square IntVar& y2(int i, int j) { return x2[i*n+j]; } /// Access field at position \a i and \a j in second square const IntVar& y2(int i, int j) const { return x2[i*n+j]; }
/// Actual model OrthoLatinSquare(const SizeOptions& opt) : Script(opt), n(opt.size()), x1(*this,n*n,1,n), x2(*this,n*n,1,n) { const int nn = n*n; IntVarArgs z(*this,nn,0,n*n-1);
distinct(*this, z, opt.ipl()); // Connect { IntArgs mod(n*n); IntArgs div(n*n); for (int i=0; i<n; i++) for (int j=0; j<n; j++) { mod[i*n+j] = j+1; div[i*n+j] = i+1; } for (int i = nn; i--; ) { element(*this, div, z[i], x2[i]); element(*this, mod, z[i], x1[i]); } }
// Rows for (int i = n; i--; ) { IntVarArgs ry(n); for (int j = n; j--; ) ry[j] = y1(i,j); distinct(*this, ry, opt.ipl()); for (int j = n; j--; ) ry[j] = y2(i,j); distinct(*this, ry, opt.ipl()); } for (int j = n; j--; ) { IntVarArgs cy(n); for (int i = n; i--; ) cy[i] = y1(i,j); distinct(*this, cy, opt.ipl()); for (int i = n; i--; ) cy[i] = y2(i,j); distinct(*this, cy, opt.ipl()); }
for (int i = 1; i<n; i++) { IntVarArgs ry1(n); IntVarArgs ry2(n); for (int j = n; j--; ) { ry1[j] = y1(i-1,j); ry2[j] = y2(i,j); } rel(*this, ry1, IRT_GQ, ry2); }
branch(*this, z, INT_VAR_SIZE_MIN(), INT_VAL_SPLIT_MIN()); }
/// Constructor for cloning \a s OrthoLatinSquare(OrthoLatinSquare& s) : Script(s), n(s.n) { x1.update(*this, s.x1); x2.update(*this, s.x2); }
/// Copy during cloning virtual Space* copy(void) { return new OrthoLatinSquare(*this); } /// Print solution virtual void print(std::ostream& os) const { for (int i = 0; i<n; i++) { os << "\t"; for (int j = 0; j<n; j++) { os.width(2); os << y1(i,j) << " "; } os << std::endl; } os << std::endl; for (int i = 0; i<n; i++) { os << "\t"; for (int j = 0; j<n; j++) { os.width(2); os << y2(i,j) << " "; } os << std::endl; } os << std::endl; }
};
/** * \brief Main function * \relates OrthoLatinSquare */intmain(int argc, char* argv[]) { SizeOptions opt("OrthoLatinSquare"); opt.size(7); opt.ipl(IPL_DOM); opt.parse(argc,argv); Script::run<OrthoLatinSquare,DFS,SizeOptions>(opt); return 0;}
// STATISTICS: example-any