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golomb-ruler.cpp
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1 /* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
2 /*
3  * Main authors:
4  * Christian Schulte <schulte@gecode.org>
5  *
6  * Copyright:
7  * Christian Schulte, 2001
8  *
9  * Last modified:
10  * $Date: 2013-07-08 14:22:40 +0200 (Mon, 08 Jul 2013) $ by $Author: schulte $
11  * $Revision: 13820 $
12  *
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37 
38 #include <gecode/driver.hh>
39 #include <gecode/int.hh>
40 #include <gecode/minimodel.hh>
41 
42 #include <iomanip>
43 
44 using namespace Gecode;
45 
67 protected:
70 public:
73  : m(*this,opt.size(),0,
74  (opt.size() < 31) ? (1 << (opt.size()-1))-1 : Int::Limits::max) {
75 
76  // Assume first mark to be zero
77  rel(*this, m[0], IRT_EQ, 0);
78 
79  // Order marks
80  rel(*this, m, IRT_LE);
81 
82  // Number of marks and differences
83  const int n = m.size();
84  const int n_d = (n*n-n)/2;
85 
86  // Array of differences
87  IntVarArgs d(n_d);
88 
89  // Setup difference constraints
90  for (int k=0, i=0; i<n-1; i++)
91  for (int j=i+1; j<n; j++, k++)
92  // d[k] is m[j]-m[i] and must be at least sum of first j-i integers
93  rel(*this, d[k] = expr(*this, m[j]-m[i]),
94  IRT_GQ, (j-i)*(j-i+1)/2);
95 
96  distinct(*this, d, opt.icl());
97 
98  // Symmetry breaking
99  if (n > 2)
100  rel(*this, d[0], IRT_LE, d[n_d-1]);
101 
102  branch(*this, m, INT_VAR_NONE(), INT_VAL_MIN());
103  }
104 
106  virtual IntVar cost(void) const {
107  return m[m.size()-1];
108  }
109 
111  virtual void
112  print(std::ostream& os) const {
113  os << "\tm[" << m.size() << "] = " << m << std::endl;
114  }
115 
117  GolombRuler(bool share, GolombRuler& s)
118  : IntMinimizeScript(share,s) {
119  m.update(*this, share, s.m);
120  }
122  virtual Space*
123  copy(bool share) {
124  return new GolombRuler(share,*this);
125  }
126 };
127 
131 int
132 main(int argc, char* argv[]) {
133  SizeOptions opt("GolombRuler");
134  opt.solutions(0);
135  opt.size(10);
136  opt.icl(ICL_BND);
137  opt.parse(argc,argv);
138  if (opt.size() > 0)
139  IntMinimizeScript::run<GolombRuler,BAB,SizeOptions>(opt);
140  return 0;
141 }
142 
143 // STATISTICS: example-any
144