// $Id: CbcBranchUser.cpp 1898 2013-04-09 18:06:04Z stefan $
// Copyright (C) 2002, International Business Machines
// Corporation and others.  All Rights Reserved.
// This code is licensed under the terms of the Eclipse Public License (EPL).

#include <cassert>
#include <cmath>
#include <cfloat>

#include "CoinPragma.hpp"
#include "OsiSolverInterface.hpp"
#include "CbcModel.hpp"
#include "CbcMessage.hpp"
#include "CbcBranchUser.hpp"
#include "CoinSort.hpp"

// Default Constructor // Default Constructor 
CbcBranchUserDecision::CbcBranchUserDecision()
  :CbcBranchDecision()
{
}

// Copy constructor 
CbcBranchUserDecision::CbcBranchUserDecision (
				    const CbcBranchUserDecision & rhs)
  :CbcBranchDecision(rhs)
{
}

CbcBranchUserDecision::~CbcBranchUserDecision()
{
}

// Clone
CbcBranchDecision * 
CbcBranchUserDecision::clone() const
{
  return new CbcBranchUserDecision(*this);
}

// Initialize i.e. before start of choosing at a node
void 
CbcBranchUserDecision::initialize(CbcModel * model)
{
}


/* Returns nonzero if branching on first object is "better" than on
   second (if second NULL first wins). User can play with decision object.
   This is only used after strong branching.  The initial selection
   is done by infeasibility() for each CbcObject
   return code +1 for up branch preferred, -1 for down
   
*/
int
CbcBranchUserDecision::betterBranch(CbcBranchingObject * thisOne,
			    CbcBranchingObject * bestSoFar,
			    double changeUp, int numberInfeasibilitiesUp,
			    double changeDown, int numberInfeasibilitiesDown)
{
  printf("Now obsolete CbcBranchUserDecision::betterBranch\n");
  abort();
  return 0;
}
/* Compare N branching objects. Return index of best
   and sets way of branching in chosen object.
   
   This routine is used only after strong branching.
   This is reccommended version as it can be more sophisticated
*/

int
CbcBranchUserDecision::bestBranch (CbcBranchingObject ** objects, int numberObjects,
				   int numberUnsatisfied,
				   double * changeUp, int * numberInfeasibilitiesUp,
				   double * changeDown, int * numberInfeasibilitiesDown,
				   double objectiveValue) 
{

  int bestWay=0;
  int whichObject = -1;
  if (numberObjects) {
    CbcModel * model = objects[0]->model();
    // at continuous
    //double continuousObjective = model->getContinuousObjective();
    //int continuousInfeasibilities = model->getContinuousInfeasibilities();
    
    // average cost to get rid of infeasibility
    //double averageCostPerInfeasibility = 
    //(objectiveValue-continuousObjective)/
    //(double) (abs(continuousInfeasibilities-numberUnsatisfied)+1);
    /* beforeSolution is :
       0 - before any solution
       n - n heuristic solutions but no branched one
       -1 - branched solution found
    */
    int numberSolutions = model->getSolutionCount();
    double cutoff = model->getCutoff();
    int method=0;
    int i;
    if (numberSolutions) {
      int numberHeuristic = model->getNumberHeuristicSolutions();
      if (numberHeuristic<numberSolutions) {
	method = 1;
      } else {
	method = 2;
	// look further
	for ( i = 0 ; i < numberObjects ; i++) {
	  int numberNext = numberInfeasibilitiesUp[i];
	  
	  if (numberNext<numberUnsatisfied) {
	    int numberUp = numberUnsatisfied - numberInfeasibilitiesUp[i];
	    double perUnsatisfied = changeUp[i]/(double) numberUp;
	    double estimatedObjective = objectiveValue + numberUnsatisfied * perUnsatisfied;
	    if (estimatedObjective<cutoff) 
	      method=3;
	  }
	  numberNext = numberInfeasibilitiesDown[i];
	  if (numberNext<numberUnsatisfied) {
	    int numberDown = numberUnsatisfied - numberInfeasibilitiesDown[i];
	    double perUnsatisfied = changeDown[i]/(double) numberDown;
	    double estimatedObjective = objectiveValue + numberUnsatisfied * perUnsatisfied;
	    if (estimatedObjective<cutoff) 
	      method=3;
	  }
	}
      }
      method=2;
    } else {
      method = 0;
    }
    // Uncomment next to force method 4
    //method=4;
    /* Methods :
       0 - fewest infeasibilities
       1 - largest min change in objective
       2 - as 1 but use sum of changes if min close
       3 - predicted best solution
       4 - take cheapest up branch if infeasibilities same
    */
    int bestNumber=COIN_INT_MAX;
    double bestCriterion=-1.0e50;
    double alternativeCriterion = -1.0;
    double bestEstimate = 1.0e100;
    switch (method) {
    case 0:
      // could add in depth as well
      for ( i = 0 ; i < numberObjects ; i++) {
	int thisNumber = CoinMin(numberInfeasibilitiesUp[i],numberInfeasibilitiesDown[i]);
	if (thisNumber<=bestNumber) {
	  int betterWay=0;
	  if (numberInfeasibilitiesUp[i]<numberInfeasibilitiesDown[i]) {
	    if (numberInfeasibilitiesUp[i]<bestNumber) {
	      betterWay = 1;
	    } else {
	      if (changeUp[i]<bestCriterion)
		betterWay=1;
	    }
	  } else if (numberInfeasibilitiesUp[i]>numberInfeasibilitiesDown[i]) {
	    if (numberInfeasibilitiesDown[i]<bestNumber) {
	      betterWay = -1;
	    } else {
	      if (changeDown[i]<bestCriterion)
		betterWay=-1;
	    }
	  } else {
	    // up and down have same number
	    bool better=false;
	    if (numberInfeasibilitiesUp[i]<bestNumber) {
	      better=true;
	    } else if (numberInfeasibilitiesUp[i]==bestNumber) {
	      if (CoinMin(changeUp[i],changeDown[i])<bestCriterion)
		better=true;;
	    }
	    if (better) {
	      // see which way
	      if (changeUp[i]<=changeDown[i])
		betterWay=1;
	      else
		betterWay=-1;
	    }
	  }
	  if (betterWay) {
	    bestCriterion = CoinMin(changeUp[i],changeDown[i]);
	    bestNumber = thisNumber;
	    whichObject = i;
	    bestWay = betterWay;
	  }
	}
      }
      break;
    case 1:
      for ( i = 0 ; i < numberObjects ; i++) {
	int betterWay=0;
	if (changeUp[i]<=changeDown[i]) {
	  if (changeUp[i]>bestCriterion)
	    betterWay=1;
	} else {
	  if (changeDown[i]>bestCriterion)
	    betterWay=-1;
	}
	if (betterWay) {
	  bestCriterion = CoinMin(changeUp[i],changeDown[i]);
	  whichObject = i;
	  bestWay = betterWay;
	}
      }
      break;
    case 2:
      for ( i = 0 ; i < numberObjects ; i++) {
	double change = CoinMin(changeUp[i],changeDown[i]);
	double sum = changeUp[i] + changeDown[i];
	bool take=false;
	if (change>1.1*bestCriterion) 
	  take=true;
	else if (change>0.9*bestCriterion&&sum+change>bestCriterion+alternativeCriterion) 
	  take=true;
	if (take) {
	  if (changeUp[i]<=changeDown[i]) {
	    if (changeUp[i]>bestCriterion)
	      bestWay=1;
	  } else {
	    if (changeDown[i]>bestCriterion)
	      bestWay=-1;
	  }
	  bestCriterion = change;
	  alternativeCriterion = sum;
	  whichObject = i;
	}
      }
      break;
    case 3:
      for ( i = 0 ; i < numberObjects ; i++) {
	int numberNext = numberInfeasibilitiesUp[i];
	
	if (numberNext<numberUnsatisfied) {
	  int numberUp = numberUnsatisfied - numberInfeasibilitiesUp[i];
	  double perUnsatisfied = changeUp[i]/(double) numberUp;
	  double estimatedObjective = objectiveValue + numberUnsatisfied * perUnsatisfied;
	  if (estimatedObjective<bestEstimate) {
	    bestEstimate = estimatedObjective;
	    bestWay=1;
	    whichObject=i;
	  }
	}
	numberNext = numberInfeasibilitiesDown[i];
	if (numberNext<numberUnsatisfied) {
	  int numberDown = numberUnsatisfied - numberInfeasibilitiesDown[i];
	  double perUnsatisfied = changeDown[i]/(double) numberDown;
	  double estimatedObjective = objectiveValue + numberUnsatisfied * perUnsatisfied;
	  if (estimatedObjective<bestEstimate) {
	    bestEstimate = estimatedObjective;
	    bestWay=-1;
	    whichObject=i;
	  }
	}
      }
      break;
    case 4:
      // if number infeas same then cheapest up
      // first get best number or when going down
      // now choose smallest change up amongst equal number infeas
      for ( i = 0 ; i < numberObjects ; i++) {
	int thisNumber = CoinMin(numberInfeasibilitiesUp[i],numberInfeasibilitiesDown[i]);
	if (thisNumber<=bestNumber) {
	  int betterWay=0;
	  if (numberInfeasibilitiesUp[i]<numberInfeasibilitiesDown[i]) {
	    if (numberInfeasibilitiesUp[i]<bestNumber) {
	      betterWay = 1;
	    } else {
	      if (changeUp[i]<bestCriterion)
		betterWay=1;
	    }
	  } else if (numberInfeasibilitiesUp[i]>numberInfeasibilitiesDown[i]) {
	    if (numberInfeasibilitiesDown[i]<bestNumber) {
	      betterWay = -1;
	    } else {
	      if (changeDown[i]<bestCriterion)
		betterWay=-1;
	    }
	  } else {
	    // up and down have same number
	    bool better=false;
	    if (numberInfeasibilitiesUp[i]<bestNumber) {
	      better=true;
	    } else if (numberInfeasibilitiesUp[i]==bestNumber) {
	      if (CoinMin(changeUp[i],changeDown[i])<bestCriterion)
		better=true;;
	    }
	    if (better) {
	      // see which way
	      if (changeUp[i]<=changeDown[i])
		betterWay=1;
	      else
		betterWay=-1;
	    }
	  }
	  if (betterWay) {
	    bestCriterion = CoinMin(changeUp[i],changeDown[i]);
	    bestNumber = thisNumber;
	    whichObject = i;
	    bestWay = betterWay;
	  }
	}
      }
      bestCriterion=1.0e50;
      for ( i = 0 ; i < numberObjects ; i++) {
	int thisNumber = numberInfeasibilitiesUp[i];
	if (thisNumber==bestNumber&&changeUp) {
	  if (changeUp[i]<bestCriterion) {
	    bestCriterion = changeUp[i];
	    whichObject = i;
	    bestWay = 1;
	  }
	}
      }
      break;
    }
    // set way in best
    if (whichObject>=0)
      objects[whichObject]->way(bestWay);
  }
  return whichObject;
}
/** Default Constructor

  Equivalent to an unspecified binary variable.
*/
CbcSimpleIntegerFixed::CbcSimpleIntegerFixed ()
  : CbcSimpleInteger()
{
}

/** Useful constructor

  Loads actual upper & lower bounds for the specified variable.
*/
CbcSimpleIntegerFixed::CbcSimpleIntegerFixed (CbcModel * model,
				    int iColumn, double breakEven)
  : CbcSimpleInteger(model,iColumn,breakEven)
{
}
// Constructor from simple
CbcSimpleIntegerFixed::CbcSimpleIntegerFixed (const CbcSimpleInteger & rhs)
  : CbcSimpleInteger(rhs)
{
}

// Copy constructor 
CbcSimpleIntegerFixed::CbcSimpleIntegerFixed ( const CbcSimpleIntegerFixed & rhs)
  :CbcSimpleInteger(rhs)

{
}

// Clone
CbcObject *
CbcSimpleIntegerFixed::clone() const
{
  return new CbcSimpleIntegerFixed(*this);
}

// Assignment operator 
CbcSimpleIntegerFixed & 
CbcSimpleIntegerFixed::operator=( const CbcSimpleIntegerFixed& rhs)
{
  if (this!=&rhs) {
    CbcSimpleInteger::operator=(rhs);
  }
  return *this;
}

// Destructor 
CbcSimpleIntegerFixed::~CbcSimpleIntegerFixed ()
{
}

// Infeasibility - large is 0.5
double 
CbcSimpleIntegerFixed::infeasibility(int & preferredWay) const
{
  OsiSolverInterface * solver = model_->solver();
  const double * solution = model_->testSolution();
  const double * lower = solver->getColLower();
  const double * upper = solver->getColUpper();
  double value = solution[columnNumber_];
  value = CoinMax(value, lower[columnNumber_]);
  value = CoinMin(value, upper[columnNumber_]);
  /*printf("%d %g %g %g %g\n",columnNumber_,value,lower[columnNumber_],
    solution[columnNumber_],upper[columnNumber_]);*/
  double nearest = floor(value+(1.0-breakEven_));
  assert (breakEven_>0.0&&breakEven_<1.0);
  double integerTolerance = 
    model_->getDblParam(CbcModel::CbcIntegerTolerance);
  if (nearest>value) 
    preferredWay=1;
  else
    preferredWay=-1;
  if (preferredWay_)
    preferredWay=preferredWay_;
  double weight = fabs(value-nearest);
  // normalize so weight is 0.5 at break even
  if (nearest<value)
    weight = (0.5/breakEven_)*weight;
  else
    weight = (0.5/(1.0-breakEven_))*weight;
  if (fabs(value-nearest)<=integerTolerance) {
    if (upper[columnNumber_]==lower[columnNumber_])
      return 0.0;
    else
      return 1.0e-5;
  } else {
    return weight;
  }
}
// Creates a branching object
CbcBranchingObject * 
CbcSimpleIntegerFixed::createBranch(OsiSolverInterface * solver,
					    const OsiBranchingInformation * info, int way)  
{
  const double * solution = model_->testSolution();
  const double * lower = solver->getColLower();
  const double * upper = solver->getColUpper();
  double value = solution[columnNumber_];
  value = CoinMax(value, lower[columnNumber_]);
  value = CoinMin(value, upper[columnNumber_]);
  assert (upper[columnNumber_]>lower[columnNumber_]);
  if (!model_->hotstartSolution()) {
    double nearest = floor(value+0.5);
    double integerTolerance = 
    model_->getDblParam(CbcModel::CbcIntegerTolerance);
    if (fabs(value-nearest)<integerTolerance) {
      // adjust value
      if (nearest!=upper[columnNumber_])
	value = nearest+2.0*integerTolerance;
      else
	value = nearest-2.0*integerTolerance;
    }
  } else {
    const double * hotstartSolution = model_->hotstartSolution();
    double targetValue = hotstartSolution[columnNumber_];
    if (way>0)
      value = targetValue-0.1;
    else
      value = targetValue+0.1;
  }
  CbcBranchingObject * branch = new CbcIntegerBranchingObject(model_,columnNumber_,way,
					     value);
  branch->setOriginalObject(this);
  return branch;
}
