archimedean-spiral.cpp

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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
 *  Main authors:
 *     Vincent Barichard <Vincent.Barichard@univ-angers.fr>
 *
 *  Copyright:
 *     Vincent Barichard, 2012
 *
 *  Last modified:
 *     $Date: 2016-04-19 17:19:45 +0200 (Tue, 19 Apr 2016) $ by $Author: schulte $
 *     $Revision: 14967 $
 *
 *  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
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 */

#include <gecode/driver.hh>

#include <gecode/minimodel.hh>
#include <gecode/float.hh>

using namespace Gecode;

class ArchimedeanSpiral : public FloatMaximizeScript {
protected:
  FloatVarArray f;
public:
  ArchimedeanSpiral(const Options& opt)
    : FloatMaximizeScript(opt), f(*this,4,-20,20) {
    // Post equation
    FloatVar theta = f[0];
    FloatVar r = f[3];
    FloatVar x = f[1];
    FloatVar y = f[2];

    rel(*this, theta >= 0);
    rel(*this, theta <= 6*FloatVal::pi());
    rel(*this, r >= 0);
    rel(*this, r*cos(theta) == x);
    rel(*this, r*sin(theta) == y);
    rel(*this, r == theta);

    branch(*this,f[0],FLOAT_VAL_SPLIT_MIN());
  }
  ArchimedeanSpiral(bool share, ArchimedeanSpiral& p)
    : FloatMaximizeScript(share,p) {
    f.update(*this,share,p.f);
  }
  virtual Space* copy(bool share) {
    return new ArchimedeanSpiral(share,*this);
  }
  virtual FloatVar cost(void) const {
    return f[0];
  }
  virtual void print(std::ostream& os) const {
    os << "XY " << f[1].med() << " " << f[2].med()
       << std::endl;
  }

};

int main(int argc, char* argv[]) {
  Options opt("ArchimedeanSpiral");
  opt.solutions(0);
  opt.step(0.1);
  opt.parse(argc,argv);
  FloatMaximizeScript::run<ArchimedeanSpiral,BAB,Options>(opt);
  return 0;
}

// STATISTICS: example-any