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/* -*- 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
*/
int
main(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
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