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+// $Id: CglFlowCover.hpp 1119 2013-04-06 20:24:18Z stefan $
+//-----------------------------------------------------------------------------
+// name:     Cgl Lifted Simple Generalized Flow Cover Cut Generator
+// author:   Yan Xu                email: yan.xu@sas.com
+//           Jeff Linderoth        email: jtl3@lehigh.edu
+//           Martin Savelsberg     email: martin.savelsbergh@isye.gatech.edu
+// date:     05/01/2003
+// comments: please scan this file for '???' and read the comments
+//-----------------------------------------------------------------------------
+// Copyright (C) 2003, Yan Xu, Jeff Linderoth, Martin Savelsberg and others. 
+// All Rights Reserved.
+// This code is published under the Eclipse Public License.
+
+#ifndef CglFlowCover_H
+#define CglFlowCover_H
+
+#include <iostream>
+
+#include "CoinError.hpp"
+
+#include "CglCutGenerator.hpp"
+
+//=============================================================================
+
+//=============================================================================
+
+/** This enumerative constant describes the various col types.*/
+enum CglFlowColType {
+    /** The column(variable) is a negative binary variable.*/
+    CGLFLOW_COL_BINNEG  = -2,
+    /** The column is a negative continous variable.*/
+    CGLFLOW_COL_CONTNEG,
+    /** The column is a positive continous variable.*/
+    CGLFLOW_COL_CONTPOS =  1,
+    /** The column is a positive binary variable.*/
+    CGLFLOW_COL_BINPOS
+};
+
+enum CglFlowColStatus{
+};
+
+/** This enumerative constant describes the various stati of vars in 
+    a cut or not.*/
+enum CglFlowColCut{
+    /** The column is NOT in cover.*/
+    CGLFLOW_COL_OUTCUT = 0,
+    /** The column is in cover now. */
+    CGLFLOW_COL_INCUT,
+    /** The column is decided to be in cover. */
+    CGLFLOW_COL_INCUTDONE,
+    /** The column is in L-. */
+    CGLFLOW_COL_INLMIN,
+    /** The column is decided to be in L-. */
+    CGLFLOW_COL_INLMINDONE,
+    /** The column is in L--.*/
+    CGLFLOW_COL_INLMINMIN,
+    /** This enumerative constant describes the various stati of vars in 
+                   determining the cover.*/
+    /** The column is a prime candidate. */
+    CGLFLOW_COL_PRIME,
+    /** The column is a secondary candidate. */
+    CGLFLOW_COL_SECONDARY
+};
+
+/** This enumerative constant describes the various row types.*/
+enum CglFlowRowType {
+    /** The row type of this row is NOT defined yet.*/
+    CGLFLOW_ROW_UNDEFINED,
+    /** After the row is flipped to 'L', the row has exactly two variables: 
+	one is negative binary and the other is continous, and the RHS 
+	is zero.*/
+    CGLFLOW_ROW_VARUB,
+    /** After the row is flipped to 'L', the row has exactlytwo variables: 
+	one is positive binary and the other is continous, and the RHS 
+	is zero.*/
+    CGLFLOW_ROW_VARLB,
+    /** The row sense is 'E', the row has exactly two variables: 
+	one is binary and the other is a continous, and the RHS is zero.*/ 
+    CGLFLOW_ROW_VAREQ,
+    /** Rows can not be classfied into other types and the row sense 
+	is NOT 'E'.*/
+    CGLFLOW_ROW_MIXUB,
+    /** Rows can not be classfied into other types and the row sense is 'E'.*/
+    CGLFLOW_ROW_MIXEQ,
+    /** All variables are NOT binary and the row sense is NOT 'E'. */
+    CGLFLOW_ROW_NOBINUB,
+    /** All variables are NOT binary and the row sense is 'E'. */
+    CGLFLOW_ROW_NOBINEQ,
+    /** The row has one binary and 2 or more other types of variables and 
+	the row sense is NOT 'E'. */
+    CGLFLOW_ROW_SUMVARUB,
+    /** The row has one binary and 2 or more other types of variables and 
+	the row sense is 'E'. */
+    CGLFLOW_ROW_SUMVAREQ,
+    /** All variables are binary. */
+    CGLFLOW_ROW_UNINTERSTED
+};
+
+//=============================================================================
+
+/** Variable upper bound class. */
+class CglFlowVUB
+{
+protected:
+    int    varInd_;            /** The index of the associated 0-1 variable.*/
+    double upper_;             /** The Value of the associated upper bound.*/ 
+
+public:
+    CglFlowVUB() : varInd_(-1), upper_(-1) {}
+    
+    CglFlowVUB(const CglFlowVUB& source) { 
+	varInd_= source.varInd_; 
+	upper_ = source.upper_; 
+    } 
+    
+    CglFlowVUB& operator=(const CglFlowVUB& rhs) { 
+	if (this == &rhs) 
+	    return *this;
+	varInd_= rhs.varInd_; 
+	upper_ = rhs.upper_; 
+	return *this; 
+  }
+    
+    /**@name Query and set functions for associated 0-1 variable index 
+       and value.
+    */ 
+    //@{  
+    inline int    getVar() const          { return varInd_; }
+    inline double getVal() const          { return upper_; }
+    inline void   setVar(const int v)     { varInd_ = v; }
+    inline void   setVal(const double v)  { upper_ = v; }
+    //@}
+};
+
+//=============================================================================
+
+/** Variable lower bound class, which is the same as vub. */
+typedef CglFlowVUB CglFlowVLB;
+
+/** Overloaded operator<< for printing VUB and VLB.*/
+std::ostream& operator<<( std::ostream& os, const CglFlowVUB &v );
+
+//=============================================================================
+
+/** 
+ *  Lifed Simple Generalized Flow Cover Cut Generator Class. 
+ */
+class CglFlowCover : public CglCutGenerator {
+    friend void CglFlowCoverUnitTest(const OsiSolverInterface * siP,
+				     const std::string mpdDir );
+    
+public:
+    
+    /** 
+     *  Do the following tasks:
+     *  <ul>
+     *  <li> classify row types 
+     *  <li> indentify vubs and vlbs
+     *  </ul>
+     *  This function is called by 
+     *  <CODE>generateCuts(const OsiSolverInterface & si, OsiCuts & cs)</CODE>.
+   */
+    void flowPreprocess(const OsiSolverInterface& si);
+
+    /**@name Generate Cuts */
+    //@{
+    /** Generate Lifed Simple Generalized flow cover cuts for the model data 
+	contained in si. The generated cuts are inserted into and returned 
+	in the collection of cuts cs. 
+    */
+    virtual void generateCuts(const OsiSolverInterface & si, OsiCuts & cs,
+			      const CglTreeInfo info = CglTreeInfo());
+    //@}
+
+    /**@name Functions to query and set maximum number of cuts can be 
+       generated. */
+    //@{
+    inline int getMaxNumCuts() const { return maxNumCuts_; }
+    inline void setMaxNumCuts(int mc) { maxNumCuts_ = mc; }
+    //@}
+  
+    /**@name Functions to query and set the number of cuts have been
+       generated. */
+    //@{
+    static int getNumFlowCuts() { return numFlowCuts_; }
+    static void setNumFlowCuts(int fc) { numFlowCuts_ = fc; }
+    static void incNumFlowCuts(int fc = 1) { numFlowCuts_ += fc; } 
+    //@}
+
+    //-------------------------------------------------------------------------
+    /**@name Constructors and destructors */
+    //@{
+    /// Default constructor 
+    CglFlowCover ();
+
+    /// Copy constructor 
+    CglFlowCover (
+	const CglFlowCover &);
+
+    /// Clone
+    virtual CglCutGenerator * clone() const;
+
+    /// Assignment operator 
+    CglFlowCover &
+    operator=(
+	const CglFlowCover& rhs);
+    
+    /// Destructor 
+    virtual
+    ~CglFlowCover ();
+    /// Create C++ lines to get to current state
+    virtual std::string generateCpp( FILE * fp);
+    //@}
+
+private:
+    //-------------------------------------------------------------------------
+    // Private member functions
+
+    /** Based a given row, a LP solution and other model data, this function
+	tries to generate a violated lifted simple generalized flow cover. 
+    */
+    bool generateOneFlowCut( const OsiSolverInterface & si, 
+			     const int rowLen,
+			     int* ind,
+			     double* coef,
+			     char sense,
+			     double rhs,
+			     OsiRowCut& flowCut,
+			     double& violation );
+
+
+    /** Transform a row from ">=" to "<=", and vice versa. */
+    void flipRow(int rowLen, double* coef, double& rhs) const;
+
+    /** Transform a row from ">=" to "<=", and vice versa. Have 'sense'. */
+    void flipRow(int rowLen, double* coef, char& sen, double& rhs) const;
+
+    /** Determine the type of a given row. */
+    CglFlowRowType determineOneRowType(const OsiSolverInterface& si,
+				       int rowLen, int* ind, 
+				       double* coef, char sen, 
+				       double rhs) const;
+    /** Lift functions */
+    void liftMinus(double &movement, /* Output */ 
+		   int t,
+		   int r,
+		   double z,
+		   double dPrimePrime, 
+		   double lambda,
+		    double ml,
+		   double *M,
+		   double *rho) const;
+
+    bool liftPlus(double &alpha, 
+		 double &beta,
+		 int r,
+		 double m_j, 
+		 double lambda,
+		 double y_j,
+		 double x_j,
+		 double dPrimePrime,
+		 double *M) const;
+    
+
+    //-------------------------------------------------------------------------
+    //**@name Query and set the row type of a givne row. */
+    //@{
+    inline const CglFlowRowType* getRowTypes() const 
+	{ return rowTypes_; }
+    inline CglFlowRowType getRowType(const int i) const 
+	{ return rowTypes_[i]; }
+    /** Set rowtypes, take over the ownership. */
+    inline void setRowTypes(CglFlowRowType* rt) 
+	{ rowTypes_ = rt; rt = 0; }  
+    inline void setRowTypes(const CglFlowRowType rt, const int i) {
+	if (rowTypes_ != 0) 
+	    rowTypes_[i] = rt;
+	else {
+	    std::cout << "ERROR: Should allocate memory for rowType_ before "
+		      << "using it " << std::endl;
+	    throw CoinError("Forgot to allocate memory for rowType_", 
+			    "setRowType", "CglFlowCover");
+	}
+    }
+    //@}
+    
+    //-------------------------------------------------------------------------
+    //**@name Query and set vubs. */
+    //@{
+    inline const CglFlowVUB* getVubs() const          { return vubs_; }
+    inline const CglFlowVUB& getVubs(int i) const     { return vubs_[i]; }
+    /** Set CglFlowVUBs,take over the ownership. */
+    inline void setVubs(CglFlowVUB* vubs) { vubs_ = vubs; vubs = 0; }
+    inline void setVubs(const CglFlowVUB& vub, int i) { 
+	if (vubs_ != 0) 
+	    vubs_[i] = vub;
+	else {
+	    std::cout << "ERROR: Should allocate memory for vubs_ before "
+		      << "using it " << std::endl;
+	    throw CoinError("Forgot to allocate memory for vubs_", "setVubs",
+			    "CglFlowCover");
+	}
+    }
+    inline void printVubs(std::ostream& os) const {
+	for (int i = 0; i < numCols_; ++i) {
+	    os << "ix: " << i << ", " << vubs_[i];
+	}
+    }
+    //@}
+
+    //-------------------------------------------------------------------------
+    //**@name Query and set vlbs. */
+    //@{
+    inline const CglFlowVLB* getVlbs() const          { return vlbs_; }
+    inline const CglFlowVLB& getVlbs(int i) const     { return vlbs_[i]; }
+    /** Set CglFlowVLBs,take over the ownership. */
+    inline void setVlbs(CglFlowVLB* vlbs)          { vlbs_ = vlbs; vlbs = 0; }
+    inline void setVlbs(const CglFlowVLB& vlb, int i) { 
+	if (vlbs_ != 0) 
+	    vlbs_[i] = vlb;
+	else {
+	    std::cout << "ERROR: Should allocate memory for vlbs_ before "
+		      << "using it " << std::endl;
+	    throw CoinError("Forgot to allocate memory for vlbs_", "setVlbs",
+			    "CglFlowCover");
+	}
+    }
+    //@}
+
+private:
+    //------------------------------------------------------------------------
+    // Private member data
+    
+    /** The maximum number of flow cuts to be generated. Default is 1000. */
+    int maxNumCuts_;
+    /** Tolerance used for numerical purpose. */
+    double EPSILON_;
+    /** The variable upper bound of a flow is not indentified yet.*/
+    int UNDEFINED_;
+    /** Very large number. */
+    double INFTY_;
+    /** If violation of a cut is greater that this number, the cut is useful.*/
+    double TOLERANCE_;
+    /** First time preprocessing */
+    bool firstProcess_;
+    /** The number rows of the problem.*/
+    int numRows_;
+    /** The number columns of the problem.*/
+    int numCols_;
+    /** The number flow cuts found.*/
+    static int numFlowCuts_;
+    /** Indicate whether initial flow preprecessing has been done. */
+    bool doneInitPre_;
+    /** The array of CglFlowVUBs. */
+    CglFlowVUB* vubs_;
+    /** The array of CglFlowVLBs. */
+    CglFlowVLB* vlbs_;
+    /** CglFlowRowType of the rows in model. */
+    CglFlowRowType* rowTypes_;
+};
+
+//#############################################################################
+/** A function that tests the methods in the CglFlowCover class. The
+    only reason for it not to be a member method is that this way it doesn't
+    have to be compiled into the library. And that's a gain, because the
+    library should be compiled with optimization on, but this method should be
+    compiled with debugging. */
+void CglFlowCoverUnitTest(const OsiSolverInterface * siP,
+			  const std::string mpdDir );
+
+#endif