#include <COptMethodSteepestDescent.h>

Inheritance diagram for COptMethodSteepestDescent:

Collaboration diagram for COptMethodSteepestDescent:

Public Member Functions
	COptMethodSteepestDescent (const COptMethodSteepestDescent &src, const CCopasiContainer *pParent=NULL)

virtual bool	optimise ()

virtual	~COptMethodSteepestDescent ()

Public Member Functions inherited from COptMethod
	COptMethod (const COptMethod &src, const CCopasiContainer *pParent=NULL)

bool	isBounded (void)

virtual bool	isValidProblem (const CCopasiProblem *pProblem)

void	setProblem (COptProblem *problem)

virtual	~COptMethod ()

Public Member Functions inherited from CCopasiMethod
	CCopasiMethod (const CCopasiMethod &src, const CCopasiContainer *pParent=NULL)

const CCopasiMethod::SubType &	getSubType () const

const CCopasiTask::Type &	getType () const

virtual void	load (CReadConfig &configBuffer, CReadConfig::Mode mode=CReadConfig::SEARCH)

virtual void	print (std::ostream *ostream) const

virtual void	printResult (std::ostream *ostream) const

virtual bool	setCallBack (CProcessReport *pCallBack)

virtual	~CCopasiMethod ()

Public Member Functions inherited from CCopasiParameterGroup
bool	addGroup (const std::string &name)

bool	addParameter (const CCopasiParameter &parameter)

bool	addParameter (const std::string &name, const CCopasiParameter::Type type)

template<class CType >
bool	addParameter (const std::string &name, const CCopasiParameter::Type type, const CType &value)

void	addParameter (CCopasiParameter *pParameter)

CCopasiParameterGroup *	assertGroup (const std::string &name)

template<class CType >
CCopasiParameter *	assertParameter (const std::string &name, const CCopasiParameter::Type type, const CType &defaultValue)

index_iterator	beginIndex () const

name_iterator	beginName () const

	CCopasiParameterGroup (const CCopasiParameterGroup &src, const CCopasiContainer *pParent=NULL)

	CCopasiParameterGroup (const std::string &name, const CCopasiContainer *pParent=NULL, const std::string &objectType="ParameterGroup")

void	clear ()

virtual bool	elevateChildren ()

index_iterator	endIndex () const

name_iterator	endName () const

CCopasiParameterGroup *	getGroup (const std::string &name)

const CCopasiParameterGroup *	getGroup (const std::string &name) const

CCopasiParameterGroup *	getGroup (const size_t &index)

const CCopasiParameterGroup *	getGroup (const size_t &index) const

size_t	getIndex (const std::string &name) const

std::string	getKey (const std::string &name) const

std::string	getKey (const size_t &index) const

virtual const std::string &	getName (const size_t &index) const

virtual const CObjectInterface *	getObject (const CCopasiObjectName &cn) const

CCopasiParameter *	getParameter (const std::string &name)

const CCopasiParameter *	getParameter (const std::string &name) const

CCopasiParameter *	getParameter (const size_t &index)

const CCopasiParameter *	getParameter (const size_t &index) const

CCopasiParameter::Type	getType (const std::string &name) const

CCopasiParameter::Type	getType (const size_t &index) const

std::string	getUniqueParameterName (const CCopasiParameter *pParameter) const

const CCopasiParameter::Value &	getValue (const std::string &name) const

const CCopasiParameter::Value &	getValue (const size_t &index) const

CCopasiParameter::Value &	getValue (const std::string &name)

CCopasiParameter::Value &	getValue (const size_t &index)

CCopasiParameterGroup &	operator= (const CCopasiParameterGroup &rhs)

bool	removeParameter (const std::string &name)

bool	removeParameter (const size_t &index)

template<class CType >
bool	setValue (const std::string &name, const CType &value)

template<class CType >
bool	setValue (const size_t &index, const CType &value)

size_t	size () const

bool	swap (const size_t &iFrom, const size_t &iTo)

bool	swap (index_iterator &from, index_iterator &to)

virtual	~CCopasiParameterGroup ()

Public Member Functions inherited from CCopasiParameter
	CCopasiParameter (const CCopasiParameter &src, const CCopasiContainer *pParent=NULL)

	CCopasiParameter (const std::string &name, const Type &type, const void pValue=NULL, const CCopasiContainer pParent=NULL, const std::string &objectType="Parameter")

virtual CCopasiObjectName	getCN () const

virtual const std::string &	getKey () const

virtual std::string	getObjectDisplayName (bool regular=true, bool richtext=false) const

const CCopasiParameter::Type &	getType () const

const Value &	getValue () const

Value &	getValue ()

virtual void *	getValuePointer () const

CCopasiObject *	getValueReference () const

bool	isValidValue (const C_FLOAT64 &value) const

bool	isValidValue (const C_INT32 &value) const

bool	isValidValue (const unsigned C_INT32 &value) const

bool	isValidValue (const bool &value) const

bool	isValidValue (const std::string &value) const

bool	isValidValue (const CCopasiObjectName &value) const

bool	isValidValue (const std::vector< CCopasiParameter * > &value) const

CCopasiParameter &	operator= (const CCopasiParameter &rhs)

template<class CType >
bool	setValue (const CType &value)

bool	setValue (const std::vector< CCopasiParameter * > &value)

virtual	~CCopasiParameter ()

Public Member Functions inherited from CCopasiContainer
virtual bool	add (CCopasiObject *pObject, const bool &adopt=true)

	CCopasiContainer (const std::string &name, const CCopasiContainer *pParent=NULL, const std::string &type="CN", const unsigned C_INT32 &flag=CCopasiObject::Container)

	CCopasiContainer (const CCopasiContainer &src, const CCopasiContainer *pParent=NULL)

virtual std::string	getChildObjectUnits (const CCopasiObject *pObject) const

virtual const objectMap &	getObjects () const

virtual std::string	getUnits () const

virtual const CCopasiObject *	getValueObject () const

virtual bool	remove (CCopasiObject *pObject)

virtual	~CCopasiContainer ()

Public Member Functions inherited from CCopasiObject
void	addDirectDependency (const CCopasiObject *pObject)

	CCopasiObject (const CCopasiObject &src, const CCopasiContainer *pParent=NULL)

void	clearDirectDependencies ()

void	clearRefresh ()

bool	dependsOn (DataObjectSet candidates, const DataObjectSet &context=DataObjectSet()) const

void	getAllDependencies (DataObjectSet &dependencies, const DataObjectSet &context) const

virtual const DataObjectSet &	getDirectDependencies (const DataObjectSet &context=DataObjectSet()) const

CCopasiContainer *	getObjectAncestor (const std::string &type) const

CCopasiDataModel *	getObjectDataModel ()

const CCopasiDataModel *	getObjectDataModel () const

const std::string &	getObjectName () const

CCopasiContainer *	getObjectParent () const

const std::string &	getObjectType () const

virtual const CObjectInterface::ObjectSet &	getPrerequisites () const

virtual Refresh *	getRefresh () const

UpdateMethod *	getUpdateMethod () const

bool	hasCircularDependencies (DataObjectSet &candidates, DataObjectSet &verified, const DataObjectSet &context) const

bool	hasUpdateMethod () const

bool	isArray () const

bool	isContainer () const

bool	isDataModel () const

bool	isMatrix () const

bool	isNameVector () const

bool	isNonUniqueName () const

virtual bool	isPrerequisiteForContext (const CObjectInterface *pObject, const CMath::SimulationContextFlag &context, const CObjectInterface::ObjectSet &changedObjects) const

bool	isReference () const

bool	isRoot () const

bool	isSeparator () const

bool	isStaticString () const

bool	isValueBool () const

bool	isValueDbl () const

bool	isValueInt () const

bool	isValueInt64 () const

bool	isValueString () const

bool	isVector () const

virtual bool	mustBeDeleted (const DataObjectSet &deletedObjects) const

void	removeDirectDependency (const CCopasiObject *pObject)

void	setDirectDependencies (const DataObjectSet &directDependencies)

bool	setObjectName (const std::string &name)

virtual bool	setObjectParent (const CCopasiContainer *pParent)

void	setObjectValue (const C_FLOAT64 &value)

void	setObjectValue (const C_INT32 &value)

void	setObjectValue (const bool &value)

template<class CType >
void	setRefresh (CType pType, void(CType::method)(void))

template<class CType >
void	setUpdateMethod (CType pType, void(CType::method)(const C_FLOAT64 &))

template<class CType >
void	setUpdateMethod (CType pType, void(CType::method)(const C_INT32 &))

template<class CType >
void	setUpdateMethod (CType pType, void(CType::method)(const bool &))

virtual	~CCopasiObject ()

Public Member Functions inherited from CObjectInterface
	CObjectInterface ()

virtual	~CObjectInterface ()

Private Member Functions
virtual bool	cleanup ()

	COptMethodSteepestDescent (const CCopasiContainer *pParent=NULL)

C_FLOAT64	descentLine (const C_FLOAT64 &x)

const C_FLOAT64 &	evaluate ()

void	gradient ()

virtual bool	initialize ()

void	initObjects ()

Private Attributes
C_FLOAT64	mBestValue

bool	mContinue

unsigned C_INT32	mCurrentIteration

CVector< C_FLOAT64 >	mGradient

CVector< C_FLOAT64 >	mIndividual

unsigned C_INT32	mIterations

FDescent *	mpDescent

C_FLOAT64	mTolerance

C_FLOAT64	mValue

size_t	mVariableSize

Friends
COptMethod *	COptMethod::createMethod (CCopasiMethod::SubType subType)

Additional Inherited Members
Public Types inherited from CCopasiMethod
enum	SubType { unset = 0, RandomSearch, RandomSearchMaster, SimulatedAnnealing, CoranaWalk, DifferentialEvolution, ScatterSearch, GeneticAlgorithm, EvolutionaryProgram, SteepestDescent, HybridGASA, GeneticAlgorithmSR, HookeJeeves, LevenbergMarquardt, NelderMead, SRES, Statistics, ParticleSwarm, Praxis, TruncatedNewton, Newton, deterministic, LSODAR, directMethod, stochastic, tauLeap, adaptiveSA, hybrid, hybridLSODA, hybridODE45, DsaLsodar, tssILDM, tssILDMModified, tssCSP, mcaMethodReder, scanMethod, lyapWolf, sensMethod, EFMAlgorithm, EFMBitPatternTreeAlgorithm, EFMBitPatternAlgorithm, Householder, crossSectionMethod, linearNoiseApproximation }

Public Types inherited from CCopasiParameterGroup
typedef parameterGroup::iterator	index_iterator

typedef CCopasiContainer::objectMap::iterator	name_iterator

typedef std::vector < CCopasiParameter * >	parameterGroup

Public Types inherited from CCopasiParameter
enum	Type { DOUBLE = 0, UDOUBLE, INT, UINT, BOOL, GROUP, STRING, CN, KEY, FILE, EXPRESSION, INVALID }

Public Types inherited from CCopasiContainer
typedef std::multimap < std::string, CCopasiObject * >	objectMap

Public Types inherited from CCopasiObject
typedef std::set< const CCopasiObject * >	DataObjectSet

typedef std::vector< Refresh * >	DataUpdateSequence

Public Types inherited from CObjectInterface
typedef std::set< const CObjectInterface * >	ObjectSet

typedef std::vector < CObjectInterface * >	UpdateSequence

Static Public Member Functions inherited from COptMethod
static COptMethod *	createMethod (CCopasiMethod::SubType subType=CCopasiMethod::RandomSearch)

Static Public Member Functions inherited from CCopasiObject
static std::vector< Refresh * >	buildUpdateSequence (const DataObjectSet &objects, const DataObjectSet &uptoDateObjects, const DataObjectSet &context=DataObjectSet())

static void	setRenameHandler (CRenameHandler *rh)

Static Public Attributes inherited from CCopasiMethod
static const std::string	SubTypeName []

static const char *	XMLSubType []

Static Public Attributes inherited from CCopasiParameter
static const std::string	TypeName []

static const char *	XMLType []

Static Public Attributes inherited from CCopasiContainer
static const std::vector < CCopasiContainer * >	EmptyList

Protected Types inherited from CCopasiObject
enum	Flag { Container = 0x1, Vector = 0x2, Matrix = 0x4, NameVector = 0x8, Reference = 0x10, ValueBool = 0x20, ValueInt = 0x40, ValueInt64 = 0x80, ValueDbl = 0x100, NonUniqueName = 0x200, StaticString = 0x400, ValueString = 0x800, Separator = 0x1000, ModelEntity = 0x2000, Array = 0x4000, DataModel = 0x8000, Root = 0x10000, Gui = 0x20000 }

Protected Member Functions inherited from COptMethod
	COptMethod (const CCopasiTask::Type &taskType, const SubType &subType, const CCopasiContainer *pParent=NULL)

Protected Member Functions inherited from CCopasiMethod
	CCopasiMethod (const CCopasiTask::Type &taskType, const SubType &subType, const CCopasiContainer *pParent=NULL)

Protected Member Functions inherited from CCopasiParameterGroup
	CCopasiParameterGroup ()

Protected Member Functions inherited from CCopasiContainer
template<class CType >
CCopasiObject *	addMatrixReference (const std::string &name, CType &reference, const unsigned C_INT32 &flag=0)

template<class CType >
CCopasiObject *	addObjectReference (const std::string &name, CType &reference, const unsigned C_INT32 &flag=0)

template<class CType >
CCopasiObject *	addVectorReference (const std::string &name, CType &reference, const unsigned C_INT32 &flag=0)

void	initObjects ()

Protected Member Functions inherited from CCopasiObject
	CCopasiObject ()

	CCopasiObject (const std::string &name, const CCopasiContainer *pParent=NULL, const std::string &type="CN", const unsigned C_INT32 &flag=0)

Protected Attributes inherited from COptMethod
const bool	mBounds

const std::vector< COptItem * > *	mpOptContraints

const std::vector< COptItem * > *	mpOptItem

COptProblem *	mpOptProblem

COptTask *	mpParentTask

const std::vector < UpdateMethod * > *	mpSetCalculateVariable

Protected Attributes inherited from CCopasiMethod
CProcessReport *	mpCallBack

Protected Attributes inherited from CCopasiParameter
std::string	mKey

CCopasiObject *	mpValueReference

size_t	mSize

Value	mValue

Protected Attributes inherited from CCopasiContainer
objectMap	mObjects

Static Protected Attributes inherited from CCopasiObject
static CRenameHandler *	smpRenameHandler = NULL

Detailed Description

Definition at line 32 of file COptMethodSteepestDescent.h.

Constructor & Destructor Documentation

COptMethodSteepestDescent::COptMethodSteepestDescent ( const CCopasiContainer * pParent = NULL )

private

Default Constructor

Definition at line 26 of file COptMethodSteepestDescent.cpp.

References CCopasiParameterGroup::addParameter(), C_FLOAT64, C_INT32, CCopasiParameter::DOUBLE, and CCopasiParameter::UINT.

                                                                                     :
   COptMethod(CCopasiTask::optimization, CCopasiMethod::SteepestDescent, pParent),
   mIterations(100),
   mTolerance(1e-6),
   mContinue(true),
   mBestValue(std::numeric_limits< C_FLOAT64 >::infinity()),
   mValue(0.0),
   mVariableSize(0),
   mIndividual(0),
   mGradient(0),
   mpDescent(new FDescentTemplate<COptMethodSteepestDescent>(this, &COptMethodSteepestDescent::descentLine)),
   mCurrentIteration(0)
 {
   addParameter("Iteration Limit", CCopasiParameter::UINT, (unsigned C_INT32) 100);
   addParameter("Tolerance", CCopasiParameter::DOUBLE, (C_FLOAT64) 1e-6);
 }

COptMethodSteepestDescent::COptMethodSteepestDescent	(	const COptMethodSteepestDescent &	src,
		const CCopasiContainer *	pParent = `NULL`
	)

Copy Constructor

Parameters

const COptMethodSteepestDescent & src

Definition at line 43 of file COptMethodSteepestDescent.cpp.

                                      : COptMethod(src, pParent),
   mIterations(src.mIterations),
   mTolerance(src.mTolerance),
   mContinue(src.mContinue),
   mBestValue(src.mBestValue),
   mValue(src.mValue),
   mVariableSize(src.mVariableSize),
   mIndividual(src.mIndividual),
   mGradient(src.mGradient),
   mpDescent(new FDescentTemplate<COptMethodSteepestDescent>(this, &COptMethodSteepestDescent::descentLine)),
   mCurrentIteration(src.mCurrentIteration)
 {}

COptMethodSteepestDescent::~COptMethodSteepestDescent ( )

virtual

Destructor

Definition at line 57 of file COptMethodSteepestDescent.cpp.

References cleanup(), mpDescent, and pdelete.

 {
   pdelete(mpDescent);
 
   cleanup();
 }

Member Function Documentation

bool COptMethodSteepestDescent::cleanup ( )

privatevirtual

Cleanup arrays and pointers.

Returns: bool success

Reimplemented from COptMethod.

Definition at line 198 of file COptMethodSteepestDescent.cpp.

Referenced by initialize(), and ~COptMethodSteepestDescent().

 {
   // pdelete all used variables
   return true;
 }

C_FLOAT64 COptMethodSteepestDescent::descentLine ( const C_FLOAT64 & x )

private

Descent int the direction of the gradient with step x and evaluate the objective function

Parameters

const C_FLOAT64 & x

Returns: const C_FLOAT64 objectiveValue

Definition at line 250 of file COptMethodSteepestDescent.cpp.

References evaluate(), mGradient, mIndividual, COptMethod::mpSetCalculateVariable, and mVariableSize.

Referenced by optimise().

 {
   for (size_t i = 0; i < mVariableSize; i++)
     (*(*mpSetCalculateVariable)[i])(mIndividual[i] + x * mGradient[i]);
 
   return evaluate();
 }

const C_FLOAT64 & COptMethodSteepestDescent::evaluate ( )

private

Evaluate the objective function for the current parameters

Returns: const C_FLOAT64 & objectiveValue

Definition at line 259 of file COptMethodSteepestDescent.cpp.

References COptProblem::calculate(), COptProblem::checkFunctionalConstraints(), COptProblem::checkParametricConstraints(), COptProblem::getCalculateValue(), mBestValue, mContinue, COptMethod::mpOptProblem, and mValue.

Referenced by descentLine(), gradient(), and optimise().

 {
   // evaluate the fitness
   mContinue = mpOptProblem->calculate();
 
   mValue = mpOptProblem->getCalculateValue();
 
   // when we leave the either the parameter or functional domain
   // we penalize the objective value by forcing it to be larger
   // than the best value recorded so far.
   if (mValue < mBestValue &&
       (!mpOptProblem->checkParametricConstraints() ||
        !mpOptProblem->checkFunctionalConstraints()))
     mValue = mBestValue + fabs(mBestValue - mValue);
 
   return mValue;
 }

void COptMethodSteepestDescent::gradient ( )

private

Calculate the gradient of the objective at the current parameters

Definition at line 223 of file COptMethodSteepestDescent.cpp.

References C_FLOAT64, evaluate(), mContinue, mGradient, COptMethod::mpOptItem, and mVariableSize.

Referenced by optimise().

 {
   size_t i;
 
   C_FLOAT64 y;
   C_FLOAT64 x;
 
   y = evaluate();
 
   for (i = 0; i < mVariableSize && mContinue; i++)
     {
       if ((x = *(*mpOptItem)[i]->getObjectValue()) != 0.0)
         {
           (*(*mpSetCalculateVariable)[i])(x * 1.001);
           mGradient[i] = (y - evaluate()) / (x * 0.001);
         }
 
       else
         {
           (*(*mpSetCalculateVariable)[i])(1e-7);
           mGradient[i] = (y - evaluate()) / 1e-7;
         }
 
       (*(*mpSetCalculateVariable)[i])(x);
     }
 }

bool COptMethodSteepestDescent::initialize ( )

privatevirtual

Initialize arrays and pointer.

Returns: bool success

Reimplemented from COptMethod.

Definition at line 204 of file COptMethodSteepestDescent.cpp.

References cleanup(), CCopasiParameter::getValue(), COptMethod::initialize(), mBestValue, mContinue, mGradient, mIndividual, mIterations, COptMethod::mpOptItem, mTolerance, mVariableSize, CCopasiParameter::Value::pDOUBLE, CCopasiParameter::Value::pUINT, and CVector< CType >::resize().

Referenced by optimise().

 {
   cleanup();
 
   if (!COptMethod::initialize()) return false;
 
   mIterations = * getValue("Iteration Limit").pUINT;
   mTolerance = * getValue("Tolerance").pDOUBLE;
 
   mContinue = true;
   mVariableSize = mpOptItem->size();
   mIndividual.resize(mVariableSize);
   mGradient.resize(mVariableSize);
 
   mBestValue = std::numeric_limits<C_FLOAT64>::infinity();
 
   return true;
 }

void COptMethodSteepestDescent::initObjects ( )

private

Initialize contained objects.

Definition at line 277 of file COptMethodSteepestDescent.cpp.

References CCopasiContainer::addObjectReference(), mCurrentIteration, and CCopasiObject::ValueInt.

 {
   addObjectReference("Current Iteration", mCurrentIteration, CCopasiObject::ValueInt);
 }

bool COptMethodSteepestDescent::optimise ( void )

virtual

Execute the optimization algorithm calling simulation routine when needed. It is noted that this procedure can give feedback of its progress by the callback function set with SetCallback.

Reimplemented from COptMethod.

Definition at line 64 of file COptMethodSteepestDescent.cpp.

References C_FLOAT64, COptItem::checkConstraint(), descentLine(), COutputInterface::DURING, evaluate(), FminBrent(), COptItem::getLowerBoundValue(), COptItem::getStartValue(), COptItem::getUpperBoundValue(), gradient(), initialize(), max, mBestValue, mContinue, mCurrentIteration, mGradient, mIndividual, mIterations, mpDescent, COptMethod::mpOptItem, COptMethod::mpOptProblem, COptMethod::mpParentTask, mTolerance, mVariableSize, CCopasiTask::output(), and COptProblem::setSolution().

 {
   if (!initialize()) return false;
 
   size_t i, k;
   C_FLOAT64 tmp, x0, alpha, mn, mx, fmn, fmx;
   bool calc_grad;
 
   // initial point is first guess but we have to make sure that we
   // are within the parameter domain
   for (i = 0; i < mVariableSize; i++)
     {
       const COptItem & OptItem = *(*mpOptItem)[i];
 
       switch (OptItem.checkConstraint(OptItem.getStartValue()))
         {
           case - 1:
             mIndividual[i] = *OptItem.getLowerBoundValue();
             break;
 
           case 1:
             mIndividual[i] = *OptItem.getUpperBoundValue();
             break;
 
           case 0:
             mIndividual[i] = OptItem.getStartValue();
             break;
         }
 
       (*(*mpSetCalculateVariable)[i])(mIndividual[i]);
     }
 
   fmx = mBestValue = evaluate();
 
   mContinue = mpOptProblem->setSolution(mBestValue, mIndividual);
 
   // We found a new best value lets report it.
   //if (mpReport) mpReport->printBody();
   mpParentTask->output(COutputInterface::DURING);
 
   bool SolutionFound = false;
 
   for (mCurrentIteration = 0; mCurrentIteration < mIterations && mContinue && !SolutionFound; mCurrentIteration++)
     {
       // calculate the direction of steepest descent
       // by central finite differences
       gradient();
       // minimise the function in this direction
       // find brackets for the minimisation
       //  mn = 0.0; md = 1.0;
       //  mnbrak(&mn, &md, &mx, &fmn, &fmd, &fmx, descent_line);
       // make sure that no parameter will exceed its bounds
       x0 = std::numeric_limits< C_FLOAT64 >::max();
 
       for (i = 0; i < mVariableSize; i++)
         {
           if (fabs(mGradient[i]) > std::numeric_limits< C_FLOAT64 >::epsilon())
             {
               if (mGradient[i] > 0)
                 {
                   tmp = *(*mpOptItem)[i]->getUpperBoundValue();
                 }
 
               else
                 {
                   tmp = *(*mpOptItem)[i]->getLowerBoundValue();
                 }
 
               // calculate the size of the largest jump
               tmp = (tmp - mIndividual[i]) / mGradient[i];
 
               // keep it if it is the smallest
               if (tmp < x0) x0 = tmp;
             }
           else mGradient[i] = 0.0;
         }
 
       if (x0 < mTolerance) x0 = mTolerance;
 
       // we will move at a rate of 1/10 this size
       mn = mx = alpha = 0.0;
 
       for (k = 0, calc_grad = false; (k < 9) && !calc_grad && !SolutionFound; k++)
         {
           // set the minimum to the last successful step
           mn = mx;
           fmn = fmx;
           // increment alpha
           alpha += 0.1 * x0;
           // set the maximum to it
           mx = alpha;
 
           // take one step in that direction
           fmx = descentLine(alpha);
 
           fmx = evaluate();
 
           // if this was an upward step find the minimum
           if (fmx > fmn)
             {
               //md = mn + (mx-mn)/2;
               //Brent(mn, md, mx, descent_line, &alpha, &tmp, 1e-6, 50);
 
               FminBrent(mn, mx, mpDescent, &alpha, &tmp, mTolerance, 5);
 
               // take one step in that direction
               fmx = descentLine(alpha);
 
               // time to evaluate the new steepest descent direction
               calc_grad = true;
             }
 
           if (fabs(fmx - mBestValue) < mTolerance)
             SolutionFound = true;
         }
 
       for (i = 0; i < mVariableSize; i++)
         mIndividual[i] = *(*mpOptItem)[i]->getObjectValue();
 
       if (fmx < mBestValue)
         {
           mBestValue = fmx;
 
           mContinue = mpOptProblem->setSolution(mBestValue, mIndividual);
 
           // We found a new best value lets report it.
           //if (mpReport) mpReport->printBody();
           mpParentTask->output(COutputInterface::DURING);
         }
     }
 
   return true;
 }