CouenneExprMul.hpp

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00001 /* $Id: CouenneExprMul.hpp 615 2011-06-08 20:36:24Z pbelotti $
00002  *
00003  * Name:    exprMul.hpp
00004  * Author:  Pietro Belotti
00005  * Purpose: definition of multiplications
00006  *
00007  * (C) Carnegie-Mellon University, 2006-10.
00008  * This file is licensed under the Eclipse Public License (EPL)
00009  */
00010 
00011 #ifndef COUENNE_EXPRMUL_H
00012 #define COUENNE_EXPRMUL_H
00013 
00014 #include <vector>
00015 
00016 #include "CouenneExprOp.hpp"
00017 
00018 namespace Couenne {
00019 
00021 
00022 class exprMul: public exprOp {
00023 
00024  public:
00025 
00027   exprMul (expression **, int);
00028 
00030   exprMul (expression *, expression *);
00031 
00033   virtual expression *clone (Domain *d = NULL) const
00034   {return new exprMul (clonearglist (d), nargs_);}
00035 
00037   std::string printOp () const
00038   {return "*";}
00039 
00041   inline CouNumber operator () ();
00042 
00044   virtual CouNumber gradientNorm (const double *x);
00045 
00047   expression *differentiate (int index); 
00048 
00050   expression *simplify ();
00051 
00053   virtual int Linearity ();
00054 
00056   virtual void getBounds (expression *&, expression *&);
00057 
00059   virtual void getBounds (CouNumber &lb, CouNumber &ub);
00060 
00063   virtual exprAux *standardize (CouenneProblem *p, bool addAux = true);
00064 
00066   virtual void generateCuts (expression *w, //const OsiSolverInterface &si, 
00067                              OsiCuts &cs, const CouenneCutGenerator *cg, 
00068                              t_chg_bounds * = NULL, int = -1, 
00069                              CouNumber = -COUENNE_INFINITY, 
00070                              CouNumber =  COUENNE_INFINITY);
00071 
00073   virtual enum expr_type code () 
00074   {return COU_EXPRMUL;}
00075 
00077   virtual bool impliedBound (int, CouNumber *, CouNumber *, t_chg_bounds *, 
00078                              enum Couenne::expression::auxSign = Couenne::expression::AUX_EQ);
00079 
00082   virtual CouNumber selectBranch (const CouenneObject *obj, 
00083                                   const OsiBranchingInformation *info,
00084                                   expression * &var, 
00085                                   double * &brpts, 
00086                                   double * &brDist, // distance of current LP
00087                                                     // point to new convexifications
00088                                   int &way);
00089 
00091   virtual void closestFeasible (expression *varind,
00092                                 expression *vardep,
00093                                 CouNumber &left,
00094                                 CouNumber &right) const;
00095 protected:
00096 
00098   int impliedBoundMul (CouNumber wl, 
00099                        CouNumber wu, 
00100                        std::vector <CouNumber> &xl,
00101                        std::vector <CouNumber> &xu,
00102                        std::vector <std::pair <int, CouNumber> > &nl,
00103                        std::vector <std::pair <int, CouNumber> > &nu);
00104 
00106   CouNumber balancedMul (const OsiBranchingInformation *info, int index, int wind);
00107 
00110   virtual bool isCuttable (CouenneProblem *problem, int index) const
00111   {return false;} // concave on both sides, as for products
00112 };
00113 
00114 
00116 inline CouNumber exprMul:: operator () () {
00117 
00118   CouNumber ret = 1.;
00119   expression **al = arglist_;
00120 
00121   for (int n = nargs_; n--;)
00122     ret *= (**al++) ();
00123 
00124   return ret;
00125 }
00126 
00127 
00129 void unifiedProdCuts (const CouenneCutGenerator *, OsiCuts &, 
00130                       int, CouNumber, CouNumber, CouNumber,
00131                       int, CouNumber, CouNumber, CouNumber,
00132                       int, CouNumber, CouNumber, CouNumber,
00133                       t_chg_bounds *, enum expression::auxSign);
00134 
00135 
00137 void upperEnvHull (const CouenneCutGenerator *cg, OsiCuts &cs, 
00138                    int xi, CouNumber x0, CouNumber xl, CouNumber xu,
00139                    int yi, CouNumber y0, CouNumber yl, CouNumber yu,
00140                    int wi, CouNumber w0, CouNumber wl, CouNumber wu);
00141 
00142 
00145 double *computeMulBrDist (const OsiBranchingInformation *info,
00146                           int xi, int yi, int wi, int brind, double *brpt, int nPts = 1);
00147 
00148 }
00149 
00150 #endif
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