// Copyright (C) 2002, International Business Machines // Corporation and others. All Rights Reserved. #ifndef CglProbing_H #define CglProbing_H #include #include "CglCutGenerator.hpp" /** Probing Cut Generator Class */ class CglProbing : public CglCutGenerator { friend void CglProbingUnitTest(const OsiSolverInterface * siP, const std::string mpdDir ); public: /**@name Generate Cuts */ //@{ /** Generate probing/disaggregation cuts for the model of the solver interface, si. This is a simplification of probing ideas put into OSL about ten years ago. The only known documentation is a copy of a talk handout - we think Robin Lougee-Heimer has a copy! For selected integer variables (e.g. unsatisfied ones) the effect of setting them up or down is investigated. Setting a variable up may in turn set other variables (continuous as well as integer). There are various possible results: 1) It is shown that problem is infeasible (this may also be because objective function or reduced costs show worse than best solution). If the other way is feasible we can generate a column cut (and continue probing), if not feasible we can say problem infeasible. 2) If both ways are feasible, it can happen that x to 0 implies y to 1 ** and x to 1 implies y to 1 (again a column cut). More common is that x to 0 implies y to 1 and x to 1 implies y to 0 so we could substitute for y which might lead later to more powerful cuts. ** This is not done in this code as there is no mechanism for returning information. 3) When x to 1 a constraint went slack by c. We can tighten the constraint ax + .... <= b (where a may be zero) to (a+c)x + .... <= b. If this cut is violated then it is generated. 4) Similarly we can generate implied disaggregation cuts Note - differences to cuts in OSL. a) OSL had structures intended to make this faster. b) The "chaining" in 2) was done c) Row cuts modified original constraint rather than adding cut b) This code can cope with general integer variables. Insert the generated cuts into OsiCut, cs. If a "snapshot" of a matrix exists then this will be used. Presumably this will give global cuts and will be faster. No check is done to see if cuts will be global. Otherwise use current matrix. Both row cuts and column cuts may be returned The mode options are: 0) Only unsatisfied integer variables will be looked at. If no information exists for that variable then probing will be done so as a by-product you "may" get a fixing or infeasibility. This will be fast and is only available if a snapshot exists (otherwise as 1). The bounds in the snapshot are the ones used. 1) Look at unsatisfied integer variables, using current bounds. Probing will be done on all looked at. 2) Look at all integer variables, using current bounds. Probing will be done on all ** If generateCutsAndModify is used then new relaxed row bounds and tightened coliumn bounds are generated Returns number of infeasibilities */ virtual void generateCuts( const OsiSolverInterface & si, OsiCuts & cs, const CglTreeInfo info = CglTreeInfo()) const; int generateCutsAndModify( const OsiSolverInterface & si, OsiCuts & cs, CglTreeInfo * info); //@} /**@name snapshot etc */ //@{ /** Create a copy of matrix which is to be used this is to speed up process and to give global cuts Can give an array with 1 set to select, 0 to ignore column bounds are tightened If array given then values of 1 will be set to 0 if redundant. Objective may be added as constraint Returns 1 if infeasible otherwise 0 */ int snapshot ( const OsiSolverInterface & si, char * possible=NULL, bool withObjective=true); /// Deletes snapshot void deleteSnapshot ( ); /** Creates cliques for use by probing. Only cliques >= minimumSize and < maximumSize created Can also try and extend cliques as a result of probing (root node). Returns number of cliques found. */ int createCliques( OsiSolverInterface & si, int minimumSize=2, int maximumSize=100, bool extendCliques=false); /// Delete all clique information void deleteCliques(); //@} /**@name Get tighter column bounds */ //@{ /// Lower const double * tightLower() const; /// Upper const double * tightUpper() const; /// Array which says tighten continuous const char * tightenBounds() const { return tightenBounds_;} //@} /**@name Get possible freed up row bounds - only valid after mode==3 */ //@{ /// Lower const double * relaxedRowLower() const; /// Upper const double * relaxedRowUpper() const; //@} /**@name Change mode */ //@{ /// Set void setMode(int mode); /// Get int getMode() const; //@} /**@name Change maxima */ //@{ /// Set maximum number of passes per node void setMaxPass(int value); /// Get maximum number of passes per node int getMaxPass() const; /// Set log level - 0 none, 1 - a bit, 2 - more details void setLogLevel(int value); /// Get log level int getLogLevel() const; /// Set maximum number of unsatisfied variables to look at void setMaxProbe(int value); /// Get maximum number of unsatisfied variables to look at int getMaxProbe() const; /// Set maximum number of variables to look at in one probe void setMaxLook(int value); /// Get maximum number of variables to look at in one probe int getMaxLook() const; /// Set maximum number of elements in row for it to be considered void setMaxElements(int value); /// Get maximum number of elements in row for it to be considered int getMaxElements() const; /// Set maximum number of passes per node (root node) void setMaxPassRoot(int value); /// Get maximum number of passes per node (root node) int getMaxPassRoot() const; /// Set maximum number of unsatisfied variables to look at (root node) void setMaxProbeRoot(int value); /// Get maximum number of unsatisfied variables to look at (root node) int getMaxProbeRoot() const; /// Set maximum number of variables to look at in one probe (root node) void setMaxLookRoot(int value); /// Get maximum number of variables to look at in one probe (root node) int getMaxLookRoot() const; /// Set maximum number of elements in row for it to be considered (root node) void setMaxElementsRoot(int value); /// Get maximum number of elements in row for it to be considered (root node) int getMaxElementsRoot() const; /** Returns true if may generate Row cuts in tree (rather than root node). Used so know if matrix will change in tree. Really meant so column cut generators can still be active without worrying code. Default is true */ virtual bool mayGenerateRowCutsInTree() const; //@} /**@name Get information back from probing */ //@{ /// Number looked at this time inline int numberThisTime() const { return numberThisTime_;} /// Which ones looked at this time inline const int * lookedAt() const { return lookedAt_;} //@} /**@name Stop or restart row cuts (otherwise just fixing from probing) */ //@{ /// Set /// 0 no cuts, 1 just disaggregation type, 2 coefficient ( 3 both) void setRowCuts(int type); /// Get int rowCuts() const; //@} /**@name Whether use objective as constraint */ //@{ /** Set 0 don't 1 do -1 don't even think about it */ void setUsingObjective(int yesNo); /// Get int getUsingObjective() const; //@} /**@name Mark which continuous variables are to be tightened */ //@{ /// Mark variables to be tightened void tightenThese(const OsiSolverInterface & solver, int number, const int * which); //@} /**@name Constructors and destructors */ //@{ /// Default constructor CglProbing (); /// Copy constructor CglProbing ( const CglProbing &); /// Clone virtual CglCutGenerator * clone() const; /// Assignment operator CglProbing & operator=( const CglProbing& rhs); /// Destructor virtual ~CglProbing (); /// This can be used to refresh any inforamtion virtual void refreshSolver(OsiSolverInterface * solver); /// Create C++ lines to get to current state virtual std::string generateCpp( FILE * fp); //@} private: // Private member methods /**@name probe */ //@{ /// Does probing and adding cuts (without cliques and mode_!=0) int probe( const OsiSolverInterface & si, const OsiRowCutDebugger * debugger, OsiCuts & cs, double * colLower, double * colUpper, CoinPackedMatrix *rowCopy, CoinPackedMatrix *columnCopy,const CoinBigIndex * rowStartPos, const int * realRow, const double * rowLower, const double * rowUpper, const char * intVar, double * minR, double * maxR, int * markR, CglTreeInfo * info) const; /// Does probing and adding cuts (with cliques) int probeCliques( const OsiSolverInterface & si, const OsiRowCutDebugger * debugger, OsiCuts & cs, double * colLower, double * colUpper, CoinPackedMatrix *rowCopy, CoinPackedMatrix *columnCopy, const int * realRow, double * rowLower, double * rowUpper, char * intVar, double * minR, double * maxR, int * markR, CglTreeInfo * info) const; /// Does probing and adding cuts for clique slacks int probeSlacks( const OsiSolverInterface & si, const OsiRowCutDebugger * debugger, OsiCuts & cs, double * colLower, double * colUpper, CoinPackedMatrix *rowCopy, CoinPackedMatrix *columnCopy, double * rowLower, double * rowUpper, char * intVar, double * minR, double * maxR,int * markR, CglTreeInfo * info) const; /** Does most of work of generateCuts Returns number of infeasibilities */ int gutsOfGenerateCuts( const OsiSolverInterface & si, OsiCuts & cs, double * rowLower, double * rowUpper, double * colLower, double * colUpper, CglTreeInfo * info) const; /// Sets up clique information for each row void setupRowCliqueInformation(const OsiSolverInterface & si); /** This tightens column bounds (and can declare infeasibility) It may also declare rows to be redundant */ int tighten(double *colLower, double * colUpper, const int *column, const double *rowElements, const CoinBigIndex *rowStart,const CoinBigIndex * rowStartPos, const int * rowLength, double *rowLower, double *rowUpper, int nRows,int nCols,char * intVar,int maxpass, double tolerance) const; /// This just sets minima and maxima on rows void tighten2(double *colLower, double * colUpper, const int *column, const double *rowElements, const CoinBigIndex *rowStart,const CoinBigIndex * rowStartPos, const int * rowLength, double *rowLower, double *rowUpper, double * minR, double * maxR, int * markR, int nRows,int nCols) const; //@} // Private member data struct disaggregation_struct_tag ; friend struct CglProbing::disaggregation_struct_tag ; /**@name Private member data */ //@{ /// Row copy (only if snapshot) CoinPackedMatrix * rowCopy_; /// Column copy (only if snapshot) CoinPackedMatrix * columnCopy_; /// Lower bounds on rows double * rowLower_; /// Upper bounds on rows double * rowUpper_; /// Lower bounds on columns double * colLower_; /// Upper bounds on columns double * colUpper_; /// Number of rows in snapshot (or when cliqueRow stuff computed) mutable int numberRows_; /// Number of columns in problem ( must == current) mutable int numberColumns_; /// Tolerance to see if infeasible double primalTolerance_; /** Mode - 0 lazy using snapshot, 1 just unsatisfied, 2 all. 16 bit set if want to extend cliques at root node */ int mode_; /** Row cuts flag 0 no cuts, 1 just disaggregation type, 2 coefficient ( 3 both), 4 just column cuts -n as +n but just fixes variables unless at root */ mutable int rowCuts_; /// Maximum number of passes to do in probing int maxPass_; /// Log level - 0 none, 1 - a bit, 2 - more details int logLevel_; /// Maximum number of unsatisfied variables to probe int maxProbe_; /// Maximum number of variables to look at in one probe int maxStack_; /// Maximum number of elements in row for scan int maxElements_; /// Maximum number of passes to do in probing at root int maxPassRoot_; /// Maximum number of unsatisfied variables to probe at root int maxProbeRoot_; /// Maximum number of variables to look at in one probe at root int maxStackRoot_; /// Maximum number of elements in row for scan at root int maxElementsRoot_; /// Whether to include objective as constraint int usingObjective_; /// Number of integer variables int numberIntegers_; /// Number of 0-1 integer variables int number01Integers_; /// Number looked at this time mutable int numberThisTime_; /// Total number of times called mutable int totalTimesCalled_; /// Which ones looked at this time mutable int * lookedAt_; /** Only useful type of disaggregation is most normal For now just done for 0-1 variables Can be used for building cliques */ typedef struct { unsigned int zeroOne:1; // nonzero if affected variable is 0-1 unsigned int whenAtUB:1; // nonzero if fixing happens when this variable at 1 unsigned int affectedToUB:1; // nonzero if affected variable fixed to UB unsigned int affected:29; // If 0-1 then 0-1 sequence, otherwise true } disaggregationAction; /// Disaggregation cuts and for building cliques typedef struct disaggregation_struct_tag { int sequence; // integer variable // index will be NULL if no probing done yet int length; // length of newValue disaggregationAction * index; // columns whose bounds will be changed } disaggregation; disaggregation * cutVector_; /// Cliques /// Number of cliques int numberCliques_; /// Clique type typedef struct { unsigned int equality:1; // nonzero if clique is == } cliqueType; cliqueType * cliqueType_; /// Start of each clique int * cliqueStart_; /// Entries for clique typedef struct { unsigned int oneFixes:1; // nonzero if variable to 1 fixes all unsigned int sequence:31; // variable (in matrix) (but also see cliqueRow_) } cliqueEntry; cliqueEntry * cliqueEntry_; /** Start of oneFixes cliques for a column in matrix or -1 if not in any clique */ int * oneFixStart_; /** Start of zeroFixes cliques for a column in matrix or -1 if not in any clique */ int * zeroFixStart_; /// End of fixes for a column int * endFixStart_; /// Clique numbers for one or zero fixes int * whichClique_; /** For each column with nonzero in row copy this gives a clique "number". So first clique mentioned in row is always 0. If no entries for row then no cliques. If sequence > numberColumns then not in clique. */ cliqueEntry * cliqueRow_; /// cliqueRow_ starts for each row int * cliqueRowStart_; /// If not null and [i] !=0 then also tighten even if continuous char * tightenBounds_; //@} }; //############################################################################# /** A function that tests the methods in the CglProbing 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 CglProbingUnitTest(const OsiSolverInterface * siP, const std::string mpdDir ); /// This just uses implication info class CglImplication : public CglCutGenerator { public: /**@name Generate Cuts */ //@{ /** Generate cuts from implication table Insert generated cuts into the cut set cs. */ virtual void generateCuts( const OsiSolverInterface & si, OsiCuts & cs, const CglTreeInfo info = CglTreeInfo()) const; //@} /**@name Constructors and destructors */ //@{ /// Default constructor CglImplication (); /// Constructor with info CglImplication (CglTreeProbingInfo * info); /// Copy constructor CglImplication ( const CglImplication &); /// Clone virtual CglCutGenerator * clone() const; /// Assignment operator CglImplication & operator=( const CglImplication& rhs); /// Destructor virtual ~CglImplication (); /// Create C++ lines to get to current state virtual std::string generateCpp( FILE * fp); //@} /**@name Set implication */ //@{ /// Set implication inline void setProbingInfo(CglTreeProbingInfo * info) { probingInfo_=info;} //@} private: /**@name Private member data */ //@{ /// Pointer to tree probing info CglTreeProbingInfo * probingInfo_; //@} }; #endif