QUESO::MetropolisHastingsSG< P_V, P_M > Class Template Reference

A templated class that represents a Metropolis-Hastings generator of samples. More...

#include <MetropolisHastingsSG.h>

Collaboration diagram for QUESO::MetropolisHastingsSG< P_V, P_M >:

Public Member Functions
const BaseTKGroup< P_V, P_M > &	transitionKernel () const
	Returns the underlying transition kernel for this sequence generator. More...
Constructor/Destructor methods
	MetropolisHastingsSG (const char *prefix, const MhOptionsValues *alternativeOptionsValues, const BaseVectorRV< P_V, P_M > &sourceRv, const P_V &initialPosition, const P_M *inputProposalCovMatrix)
	Constructor. More...
	MetropolisHastingsSG (const char *prefix, const MhOptionsValues *alternativeOptionsValues, const BaseVectorRV< P_V, P_M > &sourceRv, const P_V &initialPosition, double initialLogPrior, double initialLogLikelihood, const P_M *inputProposalCovMatrix)
	Constructor. More...
	MetropolisHastingsSG (const MLSamplingLevelOptions &mlOptions, const BaseVectorRV< P_V, P_M > &sourceRv, const P_V &initialPosition, const P_M *inputProposalCovMatrix)
	Constructor. More...
	MetropolisHastingsSG (const MLSamplingLevelOptions &mlOptions, const BaseVectorRV< P_V, P_M > &sourceRv, const P_V &initialPosition, double initialLogPrior, double initialLogLikelihood, const P_M *inputProposalCovMatrix)
	Constructor. More...
	~MetropolisHastingsSG ()
	Destructor. More...
Statistical methods
void	generateSequence (BaseVectorSequence< P_V, P_M > &workingChain, ScalarSequence< double > *workingLogLikelihoodValues, ScalarSequence< double > *workingLogTargetValues)
	Method to generate the chain. More...
void	getRawChainInfo (MHRawChainInfoStruct &info) const
	Gets information from the raw chain. More...

Private Member Functions
void	commonConstructor ()
	Reads the options values from the options input file. More...
void	generateFullChain (const P_V &valuesOf1stPosition, unsigned int chainSize, BaseVectorSequence< P_V, P_M > &workingChain, ScalarSequence< double > *workingLogLikelihoodValues, ScalarSequence< double > *workingLogTargetValues)
	This method generates the chain. More...
void	readFullChain (const std::string &inputFileName, const std::string &inputFileType, unsigned int chainSize, BaseVectorSequence< P_V, P_M > &workingChain)
	This method reads the chain contents. More...
void	updateAdaptedCovMatrix (const BaseVectorSequence< P_V, P_M > &subChain, unsigned int idOfFirstPositionInSubChain, double &lastChainSize, P_V &lastMean, P_M &lastAdaptedCovMatrix)
	This method updates the adapted covariance matrix. More...
double	alpha (const MarkovChainPositionData< P_V > &x, const MarkovChainPositionData< P_V > &y, unsigned int xStageId, unsigned int yStageId, double *alphaQuotientPtr=NULL)
	Calculates acceptance ration. More...
double	alpha (const std::vector< MarkovChainPositionData< P_V > * > &inputPositions, const std::vector< unsigned int > &inputTKStageIds)
	Calculates acceptance ration. More...
bool	acceptAlpha (double alpha)
	Decides whether or not to accept alpha. More...
int	writeInfo (const BaseVectorSequence< P_V, P_M > &workingChain, std::ofstream &ofsvar) const
	Writes information about the Markov chain in a file. More...
void	transformInitialCovMatrixToGaussianSpace (const BoxSubset< P_V, P_M > &boxSubset)

Private Attributes
const BaseEnvironment &	m_env
const VectorSpace< P_V, P_M > &	m_vectorSpace
const BaseJointPdf< P_V, P_M > &	m_targetPdf
P_V	m_initialPosition
P_M	m_initialProposalCovMatrix
bool	m_nullInputProposalCovMatrix
unsigned int	m_numDisabledParameters
std::vector< bool >	m_parameterEnabledStatus
const ScalarFunctionSynchronizer < P_V, P_M > *	m_targetPdfSynchronizer
BaseTKGroup< P_V, P_M > *	m_tk
unsigned int	m_positionIdForDebugging
unsigned int	m_stageIdForDebugging
std::vector< unsigned int >	m_idsOfUniquePositions
std::vector< double >	m_logTargets
std::vector< double >	m_alphaQuotients
double	m_lastChainSize
P_V *	m_lastMean
P_M *	m_lastAdaptedCovMatrix
unsigned int	m_numPositionsNotSubWritten
MHRawChainInfoStruct	m_rawChainInfo
MhOptionsValues	m_alternativeOptionsValues
MetropolisHastingsSGOptions *	m_optionsObj
bool	m_computeInitialPriorAndLikelihoodValues
double	m_initialLogPriorValue
double	m_initialLogLikelihoodValue

I/O methods
void	print (std::ostream &os) const
	TODO: Prints the sequence. More...
std::ostream &	operator<< (std::ostream &os, const MetropolisHastingsSG< P_V, P_M > &obj)

Detailed Description

template<class P_V, class P_M>
class QUESO::MetropolisHastingsSG< P_V, P_M >

A templated class that represents a Metropolis-Hastings generator of samples.

This class implements a Metropolis-Hastings generator of samples. 'SG' stands for 'Sequence Generator'. Options reading is handled by class 'MetropolisHastingsOptions'. If options request data to be written in the output file (MATLAB .m format only, for now), the user can check which MATLAB variables are defined and set by running 'grep zeros <OUTPUT file="" name>="">' after the solution procedures ends. The names of the variables are self explanatory.

Definition at line 120 of file MetropolisHastingsSG.h.

Constructor & Destructor Documentation

template<class P_V , class P_M >

QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG	(	const char *	prefix,
		const MhOptionsValues *	alternativeOptionsValues,
		const BaseVectorRV< P_V, P_M > &	sourceRv,
		const P_V &	initialPosition,
		const P_M *	inputProposalCovMatrix
	)

Constructor.

This method reads the options from the options input file. It calls commonConstructor(). Requirements: 1) the image set of the vector random variable 'sourceRv' should belong to a vector space of dimension equal to the size of the vector 'initialPosition' and 2) if 'inputProposalCovMatrix' is not NULL, is should be square and its size should be equal to the size of 'initialPosition'. If the requirements are satisfied, the constructor then reads input options that begin with the string '<prefix>_mh_'. For instance, if 'prefix' is 'pROblem_775_ip_', then the constructor will read all options that begin with 'pROblem_775_ip_mh_'. Options reading is handled by class 'MetropolisHastingsOptions'.

Parameters

prefix	Prefix
alternativeOptionsValues	Options (if no input file)
sourceRv	The source RV
initialPosition	Initial chain position
inputProposalCovMatrix	Proposal cov. matrix

Definition at line 136 of file MetropolisHastingsSG.C.

References UQ_FATAL_TEST_MACRO.

  :
  m_env                       (sourceRv.env()),
  m_vectorSpace               (sourceRv.imageSet().vectorSpace()),
  m_targetPdf                 (sourceRv.pdf()),
  m_initialPosition           (initialPosition),
  m_initialProposalCovMatrix  (m_vectorSpace.zeroVector()),
  m_nullInputProposalCovMatrix(inputProposalCovMatrix == NULL),
  m_numDisabledParameters     (0), // gpmsa2
  m_parameterEnabledStatus    (m_vectorSpace.dimLocal(),true), // gpmsa2
  m_targetPdfSynchronizer     (new ScalarFunctionSynchronizer<P_V,P_M>(m_targetPdf,m_initialPosition)),
  m_tk                        (NULL),
  m_positionIdForDebugging    (0),
  m_stageIdForDebugging       (0),
  m_idsOfUniquePositions      (0),//0.),
  m_logTargets                (0),//0.),
  m_alphaQuotients            (0),//0.),
  m_lastChainSize             (0),
  m_lastMean                  (NULL),
  m_lastAdaptedCovMatrix      (NULL),
  m_numPositionsNotSubWritten (0),
#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
  m_alternativeOptionsValues  (NULL,NULL),
#else
  m_alternativeOptionsValues  (),
#endif
  m_optionsObj                (NULL),
  m_computeInitialPriorAndLikelihoodValues(true),
  m_initialLogPriorValue      (0.),
  m_initialLogLikelihoodValue (0.)
{
  if (inputProposalCovMatrix != NULL) {
    m_initialProposalCovMatrix = *inputProposalCovMatrix;
  }
  if (alternativeOptionsValues) m_alternativeOptionsValues = *alternativeOptionsValues;
  if (m_env.optionsInputFileName() == "") {
    m_optionsObj = new MetropolisHastingsSGOptions(m_env,prefix,m_alternativeOptionsValues);
  }
  else {
    m_optionsObj = new MetropolisHastingsSGOptions(m_env,prefix);
    m_optionsObj->scanOptionsValues();
  }

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::constructor(1)"
                            << ": prefix = " << prefix
                            << ", alternativeOptionsValues = " << alternativeOptionsValues
                            << ", m_env.optionsInputFileName() = " << m_env.optionsInputFileName()
                            << ", m_initialProposalCovMatrix = " << m_initialProposalCovMatrix
                            << std::endl;
  }

  UQ_FATAL_TEST_MACRO(sourceRv.imageSet().vectorSpace().dimLocal() != initialPosition.sizeLocal(),
                      m_env.worldRank(),
                      "MetropolisHastingsSG<P_V,P_M>::constructor(1)",
                      "'sourceRv' and 'initialPosition' should have equal dimensions");

  if (inputProposalCovMatrix) {
    UQ_FATAL_TEST_MACRO(sourceRv.imageSet().vectorSpace().dimLocal() != inputProposalCovMatrix->numRowsLocal(),
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::constructor(1)",
                        "'sourceRv' and 'inputProposalCovMatrix' should have equal dimensions");
    UQ_FATAL_TEST_MACRO(inputProposalCovMatrix->numCols() != inputProposalCovMatrix->numRowsGlobal(),
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::constructor(1)",
                        "'inputProposalCovMatrix' should be a square matrix");
  }

  commonConstructor();

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::constructor(1)"
                            << std::endl;
  }
}

template<class P_V , class P_M >

QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG	(	const char *	prefix,
		const MhOptionsValues *	alternativeOptionsValues,
		const BaseVectorRV< P_V, P_M > &	sourceRv,
		const P_V &	initialPosition,
		double	initialLogPrior,
		double	initialLogLikelihood,
		const P_M *	inputProposalCovMatrix
	)

Constructor.

Parameters

prefix	Prefix
alternativeOptionsValues	Options (if no input file)
sourceRv	The source RV
initialPosition	Initial chain position
initialLogPrior	Initial chain prior
initialLogLikelihood	Initial chain likelihood
inputProposalCovMatrix	Proposal cov. matrix

Definition at line 219 of file MetropolisHastingsSG.C.

References UQ_FATAL_TEST_MACRO.

  :
  m_env                       (sourceRv.env()),
  m_vectorSpace               (sourceRv.imageSet().vectorSpace()),
  m_targetPdf                 (sourceRv.pdf()),
  m_initialPosition           (initialPosition),
  m_initialProposalCovMatrix  (m_vectorSpace.zeroVector()),
  m_nullInputProposalCovMatrix(inputProposalCovMatrix == NULL),
  m_numDisabledParameters     (0), // gpmsa2
  m_parameterEnabledStatus    (m_vectorSpace.dimLocal(),true), // gpmsa2
  m_targetPdfSynchronizer     (new ScalarFunctionSynchronizer<P_V,P_M>(m_targetPdf,m_initialPosition)),
  m_tk                        (NULL),
  m_positionIdForDebugging    (0),
  m_stageIdForDebugging       (0),
  m_idsOfUniquePositions      (0),//0.),
  m_logTargets                (0),//0.),
  m_alphaQuotients            (0),//0.),
  m_lastChainSize             (0),
  m_lastMean                  (NULL),
  m_lastAdaptedCovMatrix      (NULL),
  m_numPositionsNotSubWritten (0),
#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
  m_alternativeOptionsValues  (NULL,NULL),
#else
  m_alternativeOptionsValues  (),
#endif
  m_optionsObj                (NULL),
  m_computeInitialPriorAndLikelihoodValues(false),
  m_initialLogPriorValue      (initialLogPrior),
  m_initialLogLikelihoodValue (initialLogLikelihood)
{
  if (inputProposalCovMatrix != NULL) {
    m_initialProposalCovMatrix = *inputProposalCovMatrix;
  }
  if (alternativeOptionsValues) m_alternativeOptionsValues = *alternativeOptionsValues;
  if (m_env.optionsInputFileName() == "") {
    m_optionsObj = new MetropolisHastingsSGOptions(m_env,prefix,m_alternativeOptionsValues);
  }
  else {
    m_optionsObj = new MetropolisHastingsSGOptions(m_env,prefix);
    m_optionsObj->scanOptionsValues();
  }

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::constructor(2)"
                            << ": prefix = " << prefix
                            << ", alternativeOptionsValues = " << alternativeOptionsValues
                            << ", m_env.optionsInputFileName() = " << m_env.optionsInputFileName()
                            << ", m_initialProposalCovMatrix = " << m_initialProposalCovMatrix
                            << std::endl;
  }

  UQ_FATAL_TEST_MACRO(sourceRv.imageSet().vectorSpace().dimLocal() != initialPosition.sizeLocal(),
                      m_env.worldRank(),
                      "MetropolisHastingsSG<P_V,P_M>::constructor(2)",
                      "'sourceRv' and 'initialPosition' should have equal dimensions");

  if (inputProposalCovMatrix) {
    UQ_FATAL_TEST_MACRO(sourceRv.imageSet().vectorSpace().dimLocal() != inputProposalCovMatrix->numRowsLocal(),
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::constructor(2)",
                        "'sourceRv' and 'inputProposalCovMatrix' should have equal dimensions");
    UQ_FATAL_TEST_MACRO(inputProposalCovMatrix->numCols() != inputProposalCovMatrix->numRowsGlobal(),
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::constructor(2)",
                        "'inputProposalCovMatrix' should be a square matrix");
  }

  commonConstructor();

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::constructor(2)"
                            << std::endl;
  }
}

template<class P_V , class P_M >

QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG	(	const MLSamplingLevelOptions &	mlOptions,
		const BaseVectorRV< P_V, P_M > &	sourceRv,
		const P_V &	initialPosition,
		const P_M *	inputProposalCovMatrix
	)

Constructor.

Definition at line 305 of file MetropolisHastingsSG.C.

References QUESO::MetropolisHastingsSG< P_V, P_M >::commonConstructor(), QUESO::MetropolisHastingsSG< P_V, P_M >::m_env, QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialProposalCovMatrix, QUESO::MetropolisHastingsSG< P_V, P_M >::m_optionsObj, QUESO::MetropolisHastingsSGOptions::m_ov, QUESO::MhOptionsValues::m_totallyMute, and QUESO::BaseEnvironment::subDisplayFile().

  :
  m_env                       (sourceRv.env()),
  m_vectorSpace               (sourceRv.imageSet().vectorSpace()),
  m_targetPdf                 (sourceRv.pdf()),
  m_initialPosition           (initialPosition),
  m_initialProposalCovMatrix  (m_vectorSpace.zeroVector()),
  m_nullInputProposalCovMatrix(inputProposalCovMatrix == NULL),
  m_numDisabledParameters     (0), // gpmsa2
  m_parameterEnabledStatus    (m_vectorSpace.dimLocal(),true), // gpmsa2
  m_targetPdfSynchronizer     (new ScalarFunctionSynchronizer<P_V,P_M>(m_targetPdf,m_initialPosition)),
  m_tk                        (NULL),
  m_positionIdForDebugging    (0),
  m_stageIdForDebugging       (0),
  m_idsOfUniquePositions      (0),//0.),
  m_logTargets                (0),//0.),
  m_alphaQuotients            (0),//0.),
  m_lastChainSize             (0),
  m_lastMean                  (NULL),
  m_lastAdaptedCovMatrix      (NULL),
#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
  m_alternativeOptionsValues  (NULL,NULL),
#else
  m_alternativeOptionsValues  (),
#endif
  m_optionsObj                (new MetropolisHastingsSGOptions(mlOptions)),
  m_computeInitialPriorAndLikelihoodValues(true),
  m_initialLogPriorValue      (0.),
  m_initialLogLikelihoodValue (0.)
{
  if (inputProposalCovMatrix != NULL) {
    m_initialProposalCovMatrix = *inputProposalCovMatrix;
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::constructor(3)"
                              << ": just set m_initialProposalCovMatrix = " << m_initialProposalCovMatrix
                              << std::endl;
    }
  }
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::constructor(3)"
                            << std::endl;
  }

  commonConstructor();

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::constructor(3)"
                            << std::endl;
  }
}

template<class P_V , class P_M >

QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG	(	const MLSamplingLevelOptions &	mlOptions,
		const BaseVectorRV< P_V, P_M > &	sourceRv,
		const P_V &	initialPosition,
		double	initialLogPrior,
		double	initialLogLikelihood,
		const P_M *	inputProposalCovMatrix
	)

Constructor.

Definition at line 364 of file MetropolisHastingsSG.C.

References QUESO::MetropolisHastingsSG< P_V, P_M >::commonConstructor(), QUESO::MetropolisHastingsSG< P_V, P_M >::m_env, QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialProposalCovMatrix, QUESO::MetropolisHastingsSG< P_V, P_M >::m_optionsObj, QUESO::MetropolisHastingsSGOptions::m_ov, QUESO::MhOptionsValues::m_totallyMute, and QUESO::BaseEnvironment::subDisplayFile().

  :
  m_env                       (sourceRv.env()),
  m_vectorSpace               (sourceRv.imageSet().vectorSpace()),
  m_targetPdf                 (sourceRv.pdf()),
  m_initialPosition           (initialPosition),
  m_initialProposalCovMatrix  (m_vectorSpace.zeroVector()),
  m_nullInputProposalCovMatrix(inputProposalCovMatrix == NULL),
  m_numDisabledParameters     (0), // gpmsa2
  m_parameterEnabledStatus    (m_vectorSpace.dimLocal(),true), // gpmsa2
  m_targetPdfSynchronizer     (new ScalarFunctionSynchronizer<P_V,P_M>(m_targetPdf,m_initialPosition)),
  m_tk                        (NULL),
  m_positionIdForDebugging    (0),
  m_stageIdForDebugging       (0),
  m_idsOfUniquePositions      (0),//0.),
  m_logTargets                (0),//0.),
  m_alphaQuotients            (0),//0.),
  m_lastChainSize             (0),
  m_lastMean                  (NULL),
  m_lastAdaptedCovMatrix      (NULL),
#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
  m_alternativeOptionsValues  (NULL,NULL),
#else
  m_alternativeOptionsValues  (),
#endif
  m_optionsObj                (new MetropolisHastingsSGOptions(mlOptions)),
  m_computeInitialPriorAndLikelihoodValues(false),
  m_initialLogPriorValue      (initialLogPrior),
  m_initialLogLikelihoodValue (initialLogLikelihood)
{
  if (inputProposalCovMatrix != NULL) {
    m_initialProposalCovMatrix = *inputProposalCovMatrix;
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::constructor(4)"
                              << ": just set m_initialProposalCovMatrix = " << m_initialProposalCovMatrix
                              << std::endl;
    }
  }
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::constructor(4)"
                            << std::endl;
  }

  commonConstructor();

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::constructor(4)"
                            << std::endl;
  }
}

template<class P_V , class P_M >

QUESO::MetropolisHastingsSG< P_V, P_M >::~MetropolisHastingsSG

(

)

Destructor.

Definition at line 425 of file MetropolisHastingsSG.C.

{
  //if (m_env.subDisplayFile()) {
  //  *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::destructor()"
  //                          << std::endl;
  //}

  if (m_lastAdaptedCovMatrix) delete m_lastAdaptedCovMatrix;
  if (m_lastMean)             delete m_lastMean;
  m_lastChainSize             = 0;
  m_rawChainInfo.reset();
  m_alphaQuotients.clear();
  m_logTargets.clear();
  m_numDisabledParameters  = 0; // gpmsa2
  m_parameterEnabledStatus.clear(); // gpmsa2
  m_positionIdForDebugging = 0;
  m_stageIdForDebugging    = 0;
  m_idsOfUniquePositions.clear();

  if (m_tk                   ) delete m_tk;
  if (m_targetPdfSynchronizer) delete m_targetPdfSynchronizer;
  if (m_optionsObj           ) delete m_optionsObj;

  //if (m_env.subDisplayFile()) {
  //  *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::destructor()"
  //                          << std::endl;
  //}
}

Member Function Documentation

template<class P_V , class P_M >

bool QUESO::MetropolisHastingsSG< P_V, P_M >::acceptAlpha ( double  alpha )

private

Decides whether or not to accept alpha.

If either alpha is negative or greater than one, its value will not be accepted.

Definition at line 869 of file MetropolisHastingsSG.C.

{
  bool result = false;

  if      (alpha <= 0.                                ) result = false;
  else if (alpha >= 1.                                ) result = true;
  else if (alpha >= m_env.rngObject()->uniformSample()) result = true;
  else                                                  result = false;

  return result;
}

template<class P_V , class P_M >

double QUESO::MetropolisHastingsSG< P_V, P_M >::alpha ( const MarkovChainPositionData< P_V > &  x, const MarkovChainPositionData< P_V > &  y, unsigned int  xStageId, unsigned int  yStageId, double *  alphaQuotientPtr = NULL  )

private

Calculates acceptance ration.

It is called by alpha(const std::vector<MarkovChainPositionData<P_V>*>& inputPositions, const std::vector<unsigned int>& inputTKStageIds);

Definition at line 566 of file MetropolisHastingsSG.C.

References QUESO::InvLogitGaussianJointPdf< V, M >::lawCovMatrix(), QUESO::InvLogitGaussianJointPdf< V, M >::lawExpVector(), QUESO::InvLogitGaussianJointPdf< V, M >::lawVarVector(), QUESO::MarkovChainPositionData< V >::logTarget(), QUESO::MarkovChainPositionData< V >::outOfTargetSupport(), and QUESO::MarkovChainPositionData< V >::vecValues().

{
  double alphaQuotient = 0.;
  if ((x.outOfTargetSupport() == false) &&
      (y.outOfTargetSupport() == false)) {
    if ((x.logTarget() == -INFINITY) ||
        (x.logTarget() ==  INFINITY) ||
        ( (boost::math::isnan)(x.logTarget())      )) {
      std::cerr << "WARNING In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                << ", worldRank "       << m_env.worldRank()
                << ", fullRank "        << m_env.fullRank()
                << ", subEnvironment "  << m_env.subId()
                << ", subRank "         << m_env.subRank()
                << ", inter0Rank "      << m_env.inter0Rank()
                << ", positionId = "    << m_positionIdForDebugging
                << ", stageId = "       << m_stageIdForDebugging
                << ": x.logTarget() = " << x.logTarget()
                << ", x.values() = "    << x.vecValues()
                << ", y.values() = "    << y.vecValues()
                << std::endl;
    }
    else if ((y.logTarget() == -INFINITY           ) ||
             (y.logTarget() ==  INFINITY           ) ||
             ( (boost::math::isnan)(y.logTarget()) )) {
      std::cerr << "WARNING In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                << ", worldRank "       << m_env.worldRank()
                << ", fullRank "        << m_env.fullRank()
                << ", subEnvironment "  << m_env.subId()
                << ", subRank "         << m_env.subRank()
                << ", inter0Rank "      << m_env.inter0Rank()
                << ", positionId = "    << m_positionIdForDebugging
                << ", stageId = "       << m_stageIdForDebugging
                << ": y.logTarget() = " << y.logTarget()
                << ", x.values() = "    << x.vecValues()
                << ", y.values() = "    << y.vecValues()
                << std::endl;
    }
    else {
      double yLogTargetToUse = y.logTarget();

      if (m_tk->symmetric()) {
        alphaQuotient = std::exp(yLogTargetToUse - x.logTarget());

        if ((m_env.subDisplayFile()                   ) &&
            (m_env.displayVerbosity() >= 3            ) &&
            (m_optionsObj->m_ov.m_totallyMute == false)) {
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                                 << ": symmetric proposal case"
                                 << ", x = "               << x.vecValues()
                                 << ", y = "               << y.vecValues()
                                 << ", yLogTargetToUse = " << yLogTargetToUse
                                 << ", x.logTarget() = "   << x.logTarget()
                                 << ", alpha = "           << alphaQuotient
                                 << std::endl;
        }
      }
      else {
        double qyx = m_tk->rv(yStageId).pdf().lnValue(x.vecValues(),NULL,NULL,NULL,NULL);
        if ((m_env.subDisplayFile()                   ) &&
            (m_env.displayVerbosity() >= 10           ) &&
            (m_optionsObj->m_ov.m_totallyMute == false)) {
          const InvLogitGaussianJointPdf<P_V,P_M>* pdfYX = dynamic_cast< const InvLogitGaussianJointPdf<P_V,P_M>* >(&(m_tk->rv(yStageId).pdf()));
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                                 << ", rvYX.lawExpVector = " << pdfYX->lawExpVector()
                                 << ", rvYX.lawVarVector = " << pdfYX->lawVarVector()
                                 << ", rvYX.lawCovMatrix = " << pdfYX->lawCovMatrix()
                                 << std::endl;
        }
        double qxy = m_tk->rv(xStageId).pdf().lnValue(y.vecValues(),NULL,NULL,NULL,NULL);
        if ((m_env.subDisplayFile()                   ) &&
            (m_env.displayVerbosity() >= 10           ) &&
            (m_optionsObj->m_ov.m_totallyMute == false)) {
          const InvLogitGaussianJointPdf<P_V,P_M>* pdfXY = dynamic_cast< const InvLogitGaussianJointPdf<P_V,P_M>* >(&(m_tk->rv(xStageId).pdf()));
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                                 << ", rvXY.lawExpVector = " << pdfXY->lawExpVector()
                                 << ", rvXY.lawVarVector = " << pdfXY->lawVarVector()
                                 << ", rvXY.lawCovMatrix = " << pdfXY->lawCovMatrix()
                                 << std::endl;
        }
        alphaQuotient = std::exp(yLogTargetToUse +
                                 qyx -
                                 x.logTarget() -
                                 qxy);
        if ((m_env.subDisplayFile()                   ) &&
            (m_env.displayVerbosity() >= 3            ) &&
            (m_optionsObj->m_ov.m_totallyMute == false)) {
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                                 << ": asymmetric proposal case"
                                 << ", xStageId = "        << xStageId
                                 << ", yStageId = "        << yStageId
                                 << ", x = "               << x.vecValues()
                                 << ", y = "               << y.vecValues()
                                 << ", yLogTargetToUse = " << yLogTargetToUse
                                 << ", q(y,x) = "          << qyx
                                 << ", x.logTarget() = "   << x.logTarget()
                                 << ", q(x,y) = "          << qxy
                                 << ", alpha = "           << alphaQuotient
                                 << std::endl;
        }
      }
    } // protection logic against logTarget values
  }
  else {
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 10           ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(x,y)"
                             << ": x.outOfTargetSupport = " << x.outOfTargetSupport()
                             << ", y.outOfTargetSupport = " << y.outOfTargetSupport()
                             << std::endl;
    }
  }
  if (alphaQuotientPtr != NULL) *alphaQuotientPtr = alphaQuotient;

  return std::min(1.,alphaQuotient);
}

template<class P_V , class P_M >

double QUESO::MetropolisHastingsSG< P_V, P_M >::alpha ( const std::vector< MarkovChainPositionData< P_V > * > &  inputPositions, const std::vector< unsigned int > &  inputTKStageIds  )

private

Calculates acceptance ration.

The acceptance ratio is used to decide whether to accept or reject a candidate.

Definition at line 690 of file MetropolisHastingsSG.C.

References UQ_FATAL_TEST_MACRO.

{
  unsigned int inputSize = inputPositionsData.size();
  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 10           ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
                           << ", inputSize = " << inputSize
                           << std::endl;
  }
  UQ_FATAL_TEST_MACRO((inputSize < 2),
                      m_env.worldRank(),
                      "MetropolisHastingsSG<P_V,P_M>::alpha(vec)",
                      "inputPositionsData has size < 2");

  // If necessary, return 0. right away
  if (inputPositionsData[0          ]->outOfTargetSupport()) return 0.;
  if (inputPositionsData[inputSize-1]->outOfTargetSupport()) return 0.;

  if ((inputPositionsData[0]->logTarget() == -INFINITY           ) ||
      (inputPositionsData[0]->logTarget() ==  INFINITY           ) ||
      ( (boost::math::isnan)(inputPositionsData[0]->logTarget()) )) {
    std::cerr << "WARNING In MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
              << ", worldRank "      << m_env.worldRank()
              << ", fullRank "       << m_env.fullRank()
              << ", subEnvironment " << m_env.subId()
              << ", subRank "        << m_env.subRank()
              << ", inter0Rank "     << m_env.inter0Rank()
              << ", positionId = "   << m_positionIdForDebugging
              << ", stageId = "      << m_stageIdForDebugging
              << ": inputSize = "    << inputSize
              << ", inputPositionsData[0]->logTarget() = " << inputPositionsData[0]->logTarget()
              << ", [0]->values() = "                      << inputPositionsData[0]->vecValues()
              << ", [inputSize - 1]->values() = "          << inputPositionsData[inputSize-1]->vecValues()
              << std::endl;
    return 0.;
  }
  else if ((inputPositionsData[inputSize - 1]->logTarget() == -INFINITY           ) ||
           (inputPositionsData[inputSize - 1]->logTarget() ==  INFINITY           ) ||
           ( (boost::math::isnan)(inputPositionsData[inputSize - 1]->logTarget()) )) {
    std::cerr << "WARNING In MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
              << ", worldRank "      << m_env.worldRank()
              << ", fullRank "       << m_env.fullRank()
              << ", subEnvironment " << m_env.subId()
              << ", subRank "        << m_env.subRank()
              << ", inter0Rank "     << m_env.inter0Rank()
              << ", positionId = "   << m_positionIdForDebugging
              << ", stageId = "      << m_stageIdForDebugging
              << ": inputSize = "    << inputSize
              << ", inputPositionsData[inputSize - 1]->logTarget() = " << inputPositionsData[inputSize-1]->logTarget()
              << ", [0]->values() = "                                  << inputPositionsData[0]->vecValues()
              << ", [inputSize - 1]->values() = "                      << inputPositionsData[inputSize-1]->vecValues()
              << std::endl;
    return 0.;
  }

  // If inputSize is 2, recursion is not needed
  if (inputSize == 2) return this->alpha(*(inputPositionsData[0            ]),
                                         *(inputPositionsData[inputSize - 1]),
                                         inputTKStageIds[0],
                                         inputTKStageIds[inputSize-1]);

  // Prepare two vectors of positions
  std::vector<MarkovChainPositionData<P_V>*>         positionsData  (inputSize,NULL);
  std::vector<MarkovChainPositionData<P_V>*> backwardPositionsData  (inputSize,NULL);

  std::vector<unsigned int                        >         tkStageIds     (inputSize,0);
  std::vector<unsigned int                        > backwardTKStageIds     (inputSize,0);

  std::vector<unsigned int                        >         tkStageIdsLess1(inputSize,0);
  std::vector<unsigned int                        > backwardTKStageIdsLess1(inputSize,0);

  for (unsigned int i = 0; i < inputSize; ++i) {
            positionsData  [i] = inputPositionsData[i];
    backwardPositionsData  [i] = inputPositionsData[inputSize-i-1];

            tkStageIds     [i] = inputTKStageIds   [i];
    backwardTKStageIds     [i] = inputTKStageIds   [inputSize-i-1];

            tkStageIdsLess1[i] = inputTKStageIds   [i];
    backwardTKStageIdsLess1[i] = inputTKStageIds   [inputSize-i-1];
  }

          tkStageIdsLess1.pop_back();
  backwardTKStageIdsLess1.pop_back();

  // Initialize cumulative variables
  double logNumerator      = 0.;
  double logDenominator    = 0.;
  double alphasNumerator   = 1.;
  double alphasDenominator = 1.;

  // Compute cumulative variables
  const P_V& _lastTKPosition         = m_tk->preComputingPosition(        tkStageIds[inputSize-1]);
  const P_V& _lastBackwardTKPosition = m_tk->preComputingPosition(backwardTKStageIds[inputSize-1]);

  double numContrib = m_tk->rv(backwardTKStageIdsLess1).pdf().lnValue(_lastBackwardTKPosition,NULL,NULL,NULL,NULL);
  double denContrib = m_tk->rv(tkStageIdsLess1).pdf().lnValue(_lastTKPosition,NULL,NULL,NULL,NULL);
  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 10           ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
                           << ", inputSize = "  << inputSize
                           << ", before loop"
                           << ": numContrib = " << numContrib
                           << ", denContrib = " << denContrib
                           << std::endl;
  }
  logNumerator   += numContrib;
  logDenominator += denContrib;

  for (unsigned int i = 0; i < (inputSize-2); ++i) { // That is why size must be >= 2
            positionsData.pop_back();
    backwardPositionsData.pop_back();

    const P_V& lastTKPosition         = m_tk->preComputingPosition(        tkStageIds[inputSize-2-i]);
    const P_V& lastBackwardTKPosition = m_tk->preComputingPosition(backwardTKStageIds[inputSize-2-i]);

            tkStageIds.pop_back();
    backwardTKStageIds.pop_back();

            tkStageIdsLess1.pop_back();
    backwardTKStageIdsLess1.pop_back();

    numContrib = m_tk->rv(backwardTKStageIdsLess1).pdf().lnValue(lastBackwardTKPosition,NULL,NULL,NULL,NULL);
    denContrib = m_tk->rv(tkStageIdsLess1).pdf().lnValue(lastTKPosition,NULL,NULL,NULL,NULL);
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 10           ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
                             << ", inputSize = "  << inputSize
                             << ", in loop, i = " << i
                             << ": numContrib = " << numContrib
                             << ", denContrib = " << denContrib
                             << std::endl;
    }
    logNumerator   += numContrib;
    logDenominator += denContrib;

    alphasNumerator   *= (1. - this->alpha(backwardPositionsData,backwardTKStageIds));
    alphasDenominator *= (1. - this->alpha(        positionsData,        tkStageIds));
  }

  double numeratorLogTargetToUse = backwardPositionsData[0]->logTarget();
  numContrib = numeratorLogTargetToUse;
  denContrib = positionsData[0]->logTarget();
  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 10           ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
                           << ", inputSize = "  << inputSize
                           << ", after loop"
                           << ": numContrib = " << numContrib
                           << ", denContrib = " << denContrib
                           << std::endl;
  }
  logNumerator   += numContrib;
  logDenominator += denContrib;

  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 10           ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::alpha(vec)"
                           << ", inputSize = "         << inputSize
                           << ": alphasNumerator = "   << alphasNumerator
                           << ", alphasDenominator = " << alphasDenominator
                           << ", logNumerator = "      << logNumerator
                           << ", logDenominator = "    << logDenominator
                           << std::endl;
  }

  // Return result
  return std::min(1.,(alphasNumerator/alphasDenominator)*std::exp(logNumerator-logDenominator));
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::commonConstructor ( )

private

Reads the options values from the options input file.

This method actually reads the options input file, such as the value for the Delayed Rejection scales, the presence of Hessian covariance matrices and reads the user-provided initial proposal covariance matrix (alternative to local Hessians).

Definition at line 457 of file MetropolisHastingsSG.C.

References UQ_FATAL_TEST_MACRO.

Referenced by QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG().

{
  // Instantiate the appropriate TK (transition kernel)
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                            << std::endl;
  }

  if (m_optionsObj->m_ov.m_initialPositionDataInputFileName != ".") { // palms
    std::set<unsigned int> tmpSet;
    tmpSet.insert(m_env.subId());
    m_initialPosition.subReadContents((m_optionsObj->m_ov.m_initialPositionDataInputFileName+"_sub"+m_env.subIdString()),
                                      m_optionsObj->m_ov.m_initialPositionDataInputFileType,
                                      tmpSet);
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                              << ": just read initial position contents = " << m_initialPosition
                              << std::endl;
    }
  }

  if (m_optionsObj->m_ov.m_parameterDisabledSet.size() > 0) { // gpmsa2
    for (std::set<unsigned int>::iterator setIt = m_optionsObj->m_ov.m_parameterDisabledSet.begin(); setIt != m_optionsObj->m_ov.m_parameterDisabledSet.end(); ++setIt) {
      unsigned int paramId = *setIt;
      if (paramId < m_vectorSpace.dimLocal()) {
        m_numDisabledParameters++;
        m_parameterEnabledStatus[paramId] = false;
      }
    }
  }

  std::vector<double> drScalesAll(m_optionsObj->m_ov.m_drScalesForExtraStages.size()+1,1.);
  for (unsigned int i = 1; i < (m_optionsObj->m_ov.m_drScalesForExtraStages.size()+1); ++i) {
    drScalesAll[i] = m_optionsObj->m_ov.m_drScalesForExtraStages[i-1];
  }
  if (m_optionsObj->m_ov.m_tkUseLocalHessian) { // sep2011
    m_tk = new HessianCovMatricesTKGroup<P_V,P_M>(m_optionsObj->m_prefix.c_str(),
                                                         m_vectorSpace,
                                                         drScalesAll,
                                                         *m_targetPdfSynchronizer);
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                              << ": just instantiated a 'HessianCovMatrices' TK class"
                              << std::endl;
    }
  }
  else {
    if (m_optionsObj->m_ov.m_initialProposalCovMatrixDataInputFileName != ".") { // palms
      std::set<unsigned int> tmpSet;
      tmpSet.insert(m_env.subId());
      m_initialProposalCovMatrix.subReadContents((m_optionsObj->m_ov.m_initialProposalCovMatrixDataInputFileName+"_sub"+m_env.subIdString()),
                                                 m_optionsObj->m_ov.m_initialProposalCovMatrixDataInputFileType,
                                                 tmpSet);
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                                << ": just read initial proposal cov matrix contents = " << m_initialProposalCovMatrix
                                << std::endl;
      }
    }
    else {
      UQ_FATAL_TEST_MACRO(m_nullInputProposalCovMatrix,
                          m_env.worldRank(),
                          "MetropolisHastingsSG<P_V,P_M>::commonConstructor()",
                          "proposal cov matrix should have been passed by user, since, according to the input algorithm options, local Hessians will not be used in the proposal");
    }

    // Decide whether or not to do logit transform
    if (m_optionsObj->m_ov.m_doLogitTransform) {
      // Variable transform initial proposal cov matrix
      transformInitialCovMatrixToGaussianSpace(
          dynamic_cast<const BoxSubset<P_V, P_M> & >(m_targetPdf.domainSet()));

      // We need this dynamic_cast to BoxSubset so that m_tk can inspect the
      // domain bounds and do the necessary transform
      m_tk = new TransformedScaledCovMatrixTKGroup<P_V, P_M>(
          m_optionsObj->m_prefix.c_str(),
          dynamic_cast<const BoxSubset<P_V, P_M> & >(m_targetPdf.domainSet()),
          drScalesAll, m_initialProposalCovMatrix);
    }
    else {
      m_tk = new ScaledCovMatrixTKGroup<P_V, P_M>(
          m_optionsObj->m_prefix.c_str(), m_vectorSpace, drScalesAll,
          m_initialProposalCovMatrix);
    }

    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                              << ": just instantiated a 'ScaledCovMatrix' TK class"
                              << std::endl;
    }
  }

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::commonConstructor()"
                            << std::endl;
  }
  return;
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::generateFullChain ( const P_V &  valuesOf1stPosition, unsigned int  chainSize, BaseVectorSequence< P_V, P_M > &  workingChain, ScalarSequence< double > *  workingLogLikelihoodValues, ScalarSequence< double > *  workingLogTargetValues  )

private

This method generates the chain.

Given the size of the chain, the values of the first position in the chain. It checks if the position is out of target pdf support, otherwise it calculates the value of both its likelihood and prior and adds the position to the chain. For the next positions, once they are generated, some tests are performed (such as unicity and the value of alpha) and the steps for the first position are repeated, including the optional Delayed Rejection and the adaptive Metropolis (adaptation of covariance matrix) steps.

Definition at line 1457 of file MetropolisHastingsSG.C.

References QUESO::BaseVectorSequence< V, M >::estimateConvBrooksGelman(), QUESO::BaseVectorSequence< V, M >::getPositionValues(), QUESO::MarkovChainPositionData< V >::logLikelihood(), QUESO::MarkovChainPositionData< V >::logTarget(), QUESO::MiscGetEllapsedSeconds(), QUESO::BaseVectorSequence< V, M >::name(), QUESO::SequenceOfVectors< V, M >::resizeSequence(), QUESO::ScalarSequence< T >::resizeSequence(), QUESO::BaseVectorSequence< V, M >::resizeSequence(), QUESO::SequenceOfVectors< V, M >::setPositionValues(), QUESO::BaseVectorSequence< V, M >::setPositionValues(), QUESO::BaseVectorSequence< V, M >::subSequenceSize(), QUESO::SequenceOfVectors< V, M >::subSequenceSize(), QUESO::BaseVectorSequence< V, M >::subWriteContents(), QUESO::ScalarSequence< T >::subWriteContents(), UQ_FATAL_RC_MACRO, UQ_FATAL_TEST_MACRO, QUESO::UQ_INCOMPLETE_IMPLEMENTATION_RC, QUESO::UQ_MATRIX_IS_NOT_POS_DEFINITE_RC, QUESO::UQ_OK_RC, and QUESO::MarkovChainPositionData< V >::vecValues().

{
  //m_env.syncPrintDebugMsg("Entering MetropolisHastingsSG<P_V,P_M>::generateFullChain()",3,3000000,m_env.fullComm()); // Dangerous to barrier on fullComm ... // KAUST

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Starting the generation of Markov chain " << workingChain.name()
                            << ", with "                                  << chainSize
                            << " positions..."
                            << std::endl;
  }

  int iRC = UQ_OK_RC;
  struct timeval timevalChain;
  struct timeval timevalCandidate;
  struct timeval timevalTarget;
  struct timeval timevalMhAlpha;
  struct timeval timevalDrAlpha;
  struct timeval timevalDR;
  struct timeval timevalAM;

  m_positionIdForDebugging = 0;
  m_stageIdForDebugging    = 0;

  m_rawChainInfo.reset();

  iRC = gettimeofday(&timevalChain, NULL);

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "\nIn MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                            << ": contents of initial position are:";
    *m_env.subDisplayFile() << valuesOf1stPosition; // FIX ME: might need parallelism
    *m_env.subDisplayFile() << "\nIn MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                            << ": targetPdf.domaintSet() info is:"
                            << m_targetPdf.domainSet();
    *m_env.subDisplayFile() << std::endl;
  }

  // Set a flag to write out log likelihood or not
  bool writeLogLikelihood;
  if ((workingLogLikelihoodValues != NULL) &&
      (m_optionsObj->m_ov.m_outputLogLikelihood)) {
    writeLogLikelihood = true;
  }
  else {
    writeLogLikelihood = false;
  }

  // Set a flag to write out log target or not
  bool writeLogTarget;
  if ((workingLogTargetValues != NULL) &&
      (m_optionsObj->m_ov.m_outputLogTarget)) {
    writeLogTarget = true;
  }
  else {
    writeLogTarget = false;
  }

  bool outOfTargetSupport = !m_targetPdf.domainSet().contains(valuesOf1stPosition);
  if ((m_env.subDisplayFile()) &&
      (outOfTargetSupport    )) {
    *m_env.subDisplayFile() << "ERROR: In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                            << ": contents of initial position are:\n";
    *m_env.subDisplayFile() << valuesOf1stPosition; // FIX ME: might need parallelism
    *m_env.subDisplayFile() << "\nERROR: In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                            << ": targetPdf.domaintSet() info is:\n"
                            << m_targetPdf.domainSet();
    *m_env.subDisplayFile() << std::endl;
  }
  UQ_FATAL_TEST_MACRO(outOfTargetSupport,
                      m_env.worldRank(),
                      "MetropolisHastingsSG<P_V,P_M>::generateFullChain()",
                      "initial position should not be out of target pdf support");

  double logPrior      = 0.;
  double logLikelihood = 0.;
  double logTarget     = 0.;
  if (m_computeInitialPriorAndLikelihoodValues) {
    if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalTarget, NULL);
    logTarget = m_targetPdfSynchronizer->callFunction(&valuesOf1stPosition,NULL,NULL,NULL,NULL,&logPrior,&logLikelihood); // Might demand parallel environment // KEY
    if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) {
      m_rawChainInfo.targetRunTime += MiscGetEllapsedSeconds(&timevalTarget);
    }
    m_rawChainInfo.numTargetCalls++;
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 3            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": just returned from likelihood() for initial chain position"
                              << ", m_rawChainInfo.numTargetCalls = " << m_rawChainInfo.numTargetCalls
                              << ", logPrior = "      << logPrior
                              << ", logLikelihood = " << logLikelihood
                              << ", logTarget = "     << logTarget
                              << std::endl;
    }
  }
  else {
    logPrior       = m_initialLogPriorValue;
    logLikelihood  = m_initialLogLikelihoodValue;
    logTarget      = logPrior + logLikelihood;
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 3            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": used input prior and likelihood for initial chain position"
                              << ", m_rawChainInfo.numTargetCalls = " << m_rawChainInfo.numTargetCalls
                              << ", logPrior = "      << logPrior
                              << ", logLikelihood = " << logLikelihood
                              << ", logTarget = "     << logTarget
                              << std::endl;
    }
  }

  //*m_env.subDisplayFile() << "AQUI 001" << std::endl;
  MarkovChainPositionData<P_V> currentPositionData(m_env,
                                                          valuesOf1stPosition,
                                                          outOfTargetSupport,
                                                          logLikelihood,
                                                          logTarget);

  P_V gaussianVector(m_vectorSpace.zeroVector());
  P_V tmpVecValues(m_vectorSpace.zeroVector());
  MarkovChainPositionData<P_V> currentCandidateData(m_env);

  //****************************************************
  // Set chain position with positionId = 0
  //****************************************************
  workingChain.resizeSequence(chainSize);
  m_numPositionsNotSubWritten = 0;
  if (workingLogLikelihoodValues) workingLogLikelihoodValues->resizeSequence(chainSize);
  if (workingLogTargetValues    ) workingLogTargetValues->resizeSequence    (chainSize);
  if (true/*m_uniqueChainGenerate*/) m_idsOfUniquePositions.resize(chainSize,0);
  if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
    m_logTargets.resize    (chainSize,0.);
    m_alphaQuotients.resize(chainSize,0.);
  }

  unsigned int uniquePos = 0;
  workingChain.setPositionValues(0,currentPositionData.vecValues());
  m_numPositionsNotSubWritten++;
  if ((m_optionsObj->m_ov.m_rawChainDataOutputPeriod           >  0  ) &&
      (((0+1) % m_optionsObj->m_ov.m_rawChainDataOutputPeriod) == 0  ) &&
      (m_optionsObj->m_ov.m_rawChainDataOutputFileName         != ".")) {
    workingChain.subWriteContents(0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                  m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                  m_optionsObj->m_ov.m_rawChainDataOutputFileName,
                                  m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                  m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": just wrote (per period request) " << m_numPositionsNotSubWritten << " chain positions "
                              << ", " << 0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod << " <= pos <= " << 0
                              << std::endl;
    }

    if (writeLogLikelihood) {
      workingLogLikelihoodValues->subWriteContents(0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                   m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                   m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_loglikelihood",
                                                   m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                                   m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
    }

    if (writeLogTarget) {
      workingLogTargetValues->subWriteContents(0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                               m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                               m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_logtarget",
                                               m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                               m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
    }

    m_numPositionsNotSubWritten = 0;
  }

  if (workingLogLikelihoodValues) (*workingLogLikelihoodValues)[0] = currentPositionData.logLikelihood();
  if (workingLogTargetValues    ) (*workingLogTargetValues    )[0] = currentPositionData.logTarget();
  if (true/*m_uniqueChainGenerate*/) m_idsOfUniquePositions[uniquePos++] = 0;
  if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
    m_logTargets    [0] = currentPositionData.logTarget();
    m_alphaQuotients[0] = 1.;
  }
  //*m_env.subDisplayFile() << "AQUI 002" << std::endl;

  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 10           ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "\n"
                            << "\n++++++++++++++++++++++++++++++++++++++++++++++++++++++++"
                            << "\n"
                            << std::endl;
  }

  //m_env.syncPrintDebugMsg("In MetropolisHastingsSG<P_V,P_M>::generateFullChain(), right before main loop",3,3000000,m_env.fullComm()); // Dangerous to barrier on fullComm ... // KAUST

  //****************************************************
  // Begin chain loop from positionId = 1
  //****************************************************
  if ((m_env.numSubEnvironments() < (unsigned int) m_env.fullComm().NumProc()) &&
      (m_initialPosition.numOfProcsForStorage() == 1                         ) &&
      (m_env.subRank()                          != 0                         )) {
    // subRank != 0 --> Enter the barrier and wait for processor 0 to decide to call the targetPdf
    double aux = 0.;
    aux = m_targetPdfSynchronizer->callFunction(NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL);
    if (aux) {}; // just to remove compiler warning
    for (unsigned int positionId = 1; positionId < workingChain.subSequenceSize(); ++positionId) {
      // Multiply by position values by 'positionId' in order to avoid a constant sequence,
      // which would cause zero variance and eventually OVERFLOW flags raised
      workingChain.setPositionValues(positionId,((double) positionId) * currentPositionData.vecValues());
      m_rawChainInfo.numRejections++;
    }
  }
  else for (unsigned int positionId = 1; positionId < workingChain.subSequenceSize(); ++positionId) {
    //****************************************************
    // Point 1/6 of logic for new position
    // Loop: initialize variables and print some information
    //****************************************************
    m_positionIdForDebugging = positionId;
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 3            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": beginning chain position of id = "  << positionId
                              << ", m_optionsObj->m_ov.m_drMaxNumExtraStages = " << m_optionsObj->m_ov.m_drMaxNumExtraStages
                              << std::endl;
    }
    unsigned int stageId  = 0;
    m_stageIdForDebugging = stageId;

    m_tk->clearPreComputingPositions();

    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 5            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": about to set TK pre computing position of local id " << 0
                              << ", values = " << currentPositionData.vecValues()
                              << std::endl;
    }
    bool validPreComputingPosition = m_tk->setPreComputingPosition(currentPositionData.vecValues(),0);
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 5            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": returned from setting TK pre computing position of local id " << 0
                              << ", values = " << currentPositionData.vecValues()
                              << ", valid = "  << validPreComputingPosition
                              << std::endl;
    }
    UQ_FATAL_TEST_MACRO(validPreComputingPosition == false,
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::generateFullChain()",
                        "initial position should not be an invalid pre computing position");

    //****************************************************
    // Point 2/6 of logic for new position
    // Loop: generate new position
    //****************************************************
    bool keepGeneratingCandidates = true;
    while (keepGeneratingCandidates) {
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) {
        iRC = gettimeofday(&timevalCandidate, NULL);
      }

      m_tk->rv(0).realizer().realization(tmpVecValues);

      if (m_numDisabledParameters > 0) { // gpmsa2
        for (unsigned int paramId = 0; paramId < m_vectorSpace.dimLocal(); ++paramId) {
          if (m_parameterEnabledStatus[paramId] == false) {
            tmpVecValues[paramId] = m_initialPosition[paramId];
          }
        }
      }
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.candidateRunTime += MiscGetEllapsedSeconds(&timevalCandidate);

      outOfTargetSupport = !m_targetPdf.domainSet().contains(tmpVecValues);

      bool displayDetail = (m_env.displayVerbosity() >= 10/*99*/) || m_optionsObj->m_ov.m_displayCandidates;
      if ((m_env.subDisplayFile()                   ) &&
          (displayDetail                            ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                << ": for chain position of id = " << positionId
                                << ", candidate = "                << tmpVecValues // FIX ME: might need parallelism
                                << ", outOfTargetSupport = "       << outOfTargetSupport
                                << std::endl;
      }

      if (m_optionsObj->m_ov.m_putOutOfBoundsInChain) keepGeneratingCandidates = false;
      else                                            keepGeneratingCandidates = outOfTargetSupport;
    }

    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 5            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": about to set TK pre computing position of local id " << stageId+1
                              << ", values = " << tmpVecValues
                              << std::endl;
    }
    validPreComputingPosition = m_tk->setPreComputingPosition(tmpVecValues,stageId+1);
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 5            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": returned from setting TK pre computing position of local id " << stageId+1
                              << ", values = " << tmpVecValues
                              << ", valid = "  << validPreComputingPosition
                              << std::endl;
    }

    if (outOfTargetSupport) {
      m_rawChainInfo.numOutOfTargetSupport++;
      logPrior      = -INFINITY;
      logLikelihood = -INFINITY;
      logTarget     = -INFINITY;
    }
    else {
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalTarget, NULL);
      logTarget = m_targetPdfSynchronizer->callFunction(&tmpVecValues,NULL,NULL,NULL,NULL,&logPrior,&logLikelihood); // Might demand parallel environment
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.targetRunTime += MiscGetEllapsedSeconds(&timevalTarget);
      m_rawChainInfo.numTargetCalls++;
      if ((m_env.subDisplayFile()                   ) &&
          (m_env.displayVerbosity() >= 3            ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                << ": just returned from likelihood() for chain position of id " << positionId
                                << ", m_rawChainInfo.numTargetCalls = " << m_rawChainInfo.numTargetCalls
                                << ", logPrior = "      << logPrior
                                << ", logLikelihood = " << logLikelihood
                                << ", logTarget = "     << logTarget
                                << std::endl;
      }
    }
    currentCandidateData.set(tmpVecValues,
                             outOfTargetSupport,
                             logLikelihood,
                             logTarget);

    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 10           ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "\n"
                              << "\n-----------------------------------------------------------\n"
                              << "\n"
                              << std::endl;
    }
    bool accept = false;
    double alphaFirstCandidate = 0.;
    if (outOfTargetSupport) {
      if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
        m_alphaQuotients[positionId] = 0.;
      }
    }
    else {
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalMhAlpha, NULL);
      if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
        alphaFirstCandidate = this->alpha(currentPositionData,currentCandidateData,0,1,&m_alphaQuotients[positionId]);
      }
      else {
        alphaFirstCandidate = this->alpha(currentPositionData,currentCandidateData,0,1,NULL);
      }
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.mhAlphaRunTime += MiscGetEllapsedSeconds(&timevalMhAlpha);
      if ((m_env.subDisplayFile()                   ) &&
          (m_env.displayVerbosity() >= 10           ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                << ": for chain position of id = " << positionId
                                << std::endl;
      }
      accept = acceptAlpha(alphaFirstCandidate);
    }

    bool displayDetail = (m_env.displayVerbosity() >= 10/*99*/) || m_optionsObj->m_ov.m_displayCandidates;
    if ((m_env.subDisplayFile()                   ) &&
        (displayDetail                            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": for chain position of id = " << positionId
                              << ", outOfTargetSupport = "       << outOfTargetSupport
                              << ", alpha = "                    << alphaFirstCandidate
                              << ", accept = "                   << accept
                              << ", currentCandidateData.vecValues() = ";
      *m_env.subDisplayFile() << currentCandidateData.vecValues(); // FIX ME: might need parallelism
      *m_env.subDisplayFile() << "\n"
                              << "\n curLogTarget  = "           << currentPositionData.logTarget()
                              << "\n"
                              << "\n canLogTarget  = "           << currentCandidateData.logTarget()
                              << "\n"
                              << std::endl;
    }
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 10           ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "\n"
                              << "\n-----------------------------------------------------------\n"
                              << "\n"
                              << std::endl;
    }

    //****************************************************
    // Point 3/6 of logic for new position
    // Loop: delayed rejection
    //****************************************************
    // sep2011
    std::vector<MarkovChainPositionData<P_V>*> drPositionsData(stageId+2,NULL);
    std::vector<unsigned int> tkStageIds (stageId+2,0);
    if ((accept                                   == false) &&
        (outOfTargetSupport                       == false) && // IMPORTANT
        (m_optionsObj->m_ov.m_drMaxNumExtraStages >  0    )) {
      if ((m_optionsObj->m_ov.m_drDuringAmNonAdaptiveInt  == false     ) &&
          (m_optionsObj->m_ov.m_tkUseLocalHessian         == false     ) &&
          (m_optionsObj->m_ov.m_amInitialNonAdaptInterval >  0         ) &&
          (m_optionsObj->m_ov.m_amAdaptInterval           >  0         ) &&
          (positionId <= m_optionsObj->m_ov.m_amInitialNonAdaptInterval)) {
        // Avoid DR now
      }
      else {
        if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalDR, NULL);

        drPositionsData[0] = new MarkovChainPositionData<P_V>(currentPositionData );
        drPositionsData[1] = new MarkovChainPositionData<P_V>(currentCandidateData);

        tkStageIds[0] = 0;
        tkStageIds[1] = 1;

        while ((validPreComputingPosition == true                 ) &&
               (accept                    == false                ) &&
               (stageId < m_optionsObj->m_ov.m_drMaxNumExtraStages)) {
          if ((m_env.subDisplayFile()                   ) &&
              (m_env.displayVerbosity() >= 10           ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "\n"
                                    << "\n+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-"
                                    << "\n"
                                    << std::endl;
          }
          m_rawChainInfo.numDRs++;
          stageId++;
          m_stageIdForDebugging = stageId;
          if ((m_env.subDisplayFile()                   ) &&
              (m_env.displayVerbosity() >= 10           ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ": for chain position of id = " << positionId
                                    << ", beginning stageId = "        << stageId
                                    << std::endl;
          }

          keepGeneratingCandidates = true;
          while (keepGeneratingCandidates) {
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalCandidate, NULL);
            m_tk->rv(tkStageIds).realizer().realization(tmpVecValues);
            if (m_numDisabledParameters > 0) { // gpmsa2
              for (unsigned int paramId = 0; paramId < m_vectorSpace.dimLocal(); ++paramId) {
                if (m_parameterEnabledStatus[paramId] == false) {
                  tmpVecValues[paramId] = m_initialPosition[paramId];
                }
              }
            }
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.candidateRunTime += MiscGetEllapsedSeconds(&timevalCandidate);

            outOfTargetSupport = !m_targetPdf.domainSet().contains(tmpVecValues);

            if (m_optionsObj->m_ov.m_putOutOfBoundsInChain) keepGeneratingCandidates = false;
            else                                            keepGeneratingCandidates = outOfTargetSupport;
          }

          if ((m_env.subDisplayFile()                   ) &&
              (m_env.displayVerbosity() >= 5            ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ": about to set TK pre computing position of local id " << stageId+1
                                    << ", values = " << tmpVecValues
                                    << std::endl;
          }
          validPreComputingPosition = m_tk->setPreComputingPosition(tmpVecValues,stageId+1);
          if ((m_env.subDisplayFile()                   ) &&
              (m_env.displayVerbosity() >= 5            ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ": returned from setting TK pre computing position of local id " << stageId+1
                                    << ", values = " << tmpVecValues
                                    << ", valid = "  << validPreComputingPosition
                                    << std::endl;
          }

          if (outOfTargetSupport) {
            m_rawChainInfo.numOutOfTargetSupportInDR++; // new 2010/May/12
            logPrior      = -INFINITY;
            logLikelihood = -INFINITY;
            logTarget     = -INFINITY;
          }
          else {
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalTarget, NULL);
            logTarget = m_targetPdfSynchronizer->callFunction(&tmpVecValues,NULL,NULL,NULL,NULL,&logPrior,&logLikelihood); // Might demand parallel environment
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.targetRunTime += MiscGetEllapsedSeconds(&timevalTarget);
            m_rawChainInfo.numTargetCalls++;
            if ((m_env.subDisplayFile()                   ) &&
                (m_env.displayVerbosity() >= 3            ) &&
                (m_optionsObj->m_ov.m_totallyMute == false)) {
              *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                      << ": just returned from likelihood() for chain position of id " << positionId
                                      << ", m_rawChainInfo.numTargetCalls = " << m_rawChainInfo.numTargetCalls
                                      << ", stageId = "       << stageId
                                      << ", logPrior = "      << logPrior
                                      << ", logLikelihood = " << logLikelihood
                                      << ", logTarget = "     << logTarget
                                      << std::endl;
            }
          }
          currentCandidateData.set(tmpVecValues,
                                   outOfTargetSupport,
                                   logLikelihood,
                                   logTarget);

          drPositionsData.push_back(new MarkovChainPositionData<P_V>(currentCandidateData));
          tkStageIds.push_back     (stageId+1);

          double alphaDR = 0.;
          if (outOfTargetSupport == false) {
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalDrAlpha, NULL);
            alphaDR = this->alpha(drPositionsData,tkStageIds);
            if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.drAlphaRunTime += MiscGetEllapsedSeconds(&timevalDrAlpha);
            accept = acceptAlpha(alphaDR);
          }

          displayDetail = (m_env.displayVerbosity() >= 10/*99*/) || m_optionsObj->m_ov.m_displayCandidates;
          if ((m_env.subDisplayFile()                   ) &&
              (displayDetail                            ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ": for chain position of id = " << positionId
                                    << " and stageId = "               << stageId
                                    << ", outOfTargetSupport = "       << outOfTargetSupport
                                    << ", alpha = "                    << alphaDR
                                    << ", accept = "                   << accept
                                    << ", currentCandidateData.vecValues() = ";
            *m_env.subDisplayFile() << currentCandidateData.vecValues(); // FIX ME: might need parallelism
            *m_env.subDisplayFile() << std::endl;
          }
        } // while

        if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.drRunTime += MiscGetEllapsedSeconds(&timevalDR);
      } // if-else "Avoid DR now"
    } // end of 'delayed rejection' logic

    for (unsigned int i = 0; i < drPositionsData.size(); ++i) {
      if (drPositionsData[i]) delete drPositionsData[i];
    }

    //****************************************************
    // Point 4/6 of logic for new position
    // Loop: update chain
    //****************************************************
    if (accept) {
      workingChain.setPositionValues(positionId,currentCandidateData.vecValues());
      if (true/*m_uniqueChainGenerate*/) m_idsOfUniquePositions[uniquePos++] = positionId;
      currentPositionData = currentCandidateData;
    }
    else {
      workingChain.setPositionValues(positionId,currentPositionData.vecValues());
      m_rawChainInfo.numRejections++;
    }
    m_numPositionsNotSubWritten++;
    if ((m_optionsObj->m_ov.m_rawChainDataOutputPeriod                    >  0  ) &&
        (((positionId+1) % m_optionsObj->m_ov.m_rawChainDataOutputPeriod) == 0  ) &&
        (m_optionsObj->m_ov.m_rawChainDataOutputFileName                  != ".")) {
      if ((m_env.subDisplayFile()                   ) &&
          (m_env.displayVerbosity()         >= 10   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                << ", for chain position of id = " << positionId
                                << ": about to write (per period request) " << m_numPositionsNotSubWritten << " chain positions "
                                << ", " << positionId + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod << " <= pos <= " << positionId
                                << std::endl;
      }
      workingChain.subWriteContents(positionId + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                    m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                    m_optionsObj->m_ov.m_rawChainDataOutputFileName,
                                    m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                    m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                << ", for chain position of id = " << positionId
                                << ": just wrote (per period request) " << m_numPositionsNotSubWritten << " chain positions "
                                << ", " << positionId + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod << " <= pos <= " << positionId
                                << std::endl;
      }

      if (writeLogLikelihood) {
        workingLogLikelihoodValues->subWriteContents(0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                     m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                     m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_loglikelihood",
                                                     m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                                     m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      }

      if (writeLogTarget) {
        workingLogTargetValues->subWriteContents(0 + 1 - m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                 m_optionsObj->m_ov.m_rawChainDataOutputPeriod,
                                                 m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_logtarget",
                                                 m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                                 m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      }

      m_numPositionsNotSubWritten = 0;
    }


    if (workingLogLikelihoodValues) (*workingLogLikelihoodValues)[positionId] = currentPositionData.logLikelihood();
    if (workingLogTargetValues    ) (*workingLogTargetValues    )[positionId] = currentPositionData.logTarget();

    if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
      m_logTargets[positionId] = currentPositionData.logTarget();
    }

    if( m_optionsObj->m_ov.m_enableBrooksGelmanConvMonitor > 0 ) {
      if( positionId%m_optionsObj->m_ov.m_enableBrooksGelmanConvMonitor == 0 &&
    positionId > m_optionsObj->m_ov.m_BrooksGelmanLag+1 ) { //+1 to help ensure there are at least 2 samples to use

  double conv_est = workingChain.estimateConvBrooksGelman( m_optionsObj->m_ov.m_BrooksGelmanLag,
                 positionId - m_optionsObj->m_ov.m_BrooksGelmanLag );

  if ( m_env.subDisplayFile() ) {
      *m_env.subDisplayFile() << "positionId = " << positionId
            << ", conv_est = " << conv_est << std::endl;
      (*m_env.subDisplayFile()).flush();
  }
      }
    }

    //****************************************************
    // Point 5/6 of logic for new position
    // Loop: adaptive Metropolis (adaptation of covariance matrix)
    //****************************************************
    // sep2011
    if ((m_optionsObj->m_ov.m_tkUseLocalHessian ==    false) && // IMPORTANT
        (m_optionsObj->m_ov.m_amInitialNonAdaptInterval > 0) &&
        (m_optionsObj->m_ov.m_amAdaptInterval           > 0)) {
      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) iRC = gettimeofday(&timevalAM, NULL);

      // Now might be the moment to adapt
      unsigned int idOfFirstPositionInSubChain = 0;
      SequenceOfVectors<P_V,P_M> partialChain(m_vectorSpace,0,m_optionsObj->m_prefix+"partialChain");

      // Check if now is indeed the moment to adapt
      bool printAdaptedMatrix = false;
      if (positionId < m_optionsObj->m_ov.m_amInitialNonAdaptInterval) {
        // Do nothing
      }
      else if (positionId == m_optionsObj->m_ov.m_amInitialNonAdaptInterval) {
        idOfFirstPositionInSubChain = 0;
        partialChain.resizeSequence(m_optionsObj->m_ov.m_amInitialNonAdaptInterval+1);
        m_lastMean             = m_vectorSpace.newVector();
        m_lastAdaptedCovMatrix = m_vectorSpace.newMatrix();
        printAdaptedMatrix = true;
      }
      else {
        unsigned int interval = positionId - m_optionsObj->m_ov.m_amInitialNonAdaptInterval;
        if ((interval % m_optionsObj->m_ov.m_amAdaptInterval) == 0) {
          idOfFirstPositionInSubChain = positionId - m_optionsObj->m_ov.m_amAdaptInterval;
          partialChain.resizeSequence(m_optionsObj->m_ov.m_amAdaptInterval);

          if (m_optionsObj->m_ov.m_amAdaptedMatricesDataOutputPeriod > 0) {
            if ((interval % m_optionsObj->m_ov.m_amAdaptedMatricesDataOutputPeriod) == 0) {
              printAdaptedMatrix = true;
            }
          }
        }
      }

      // If now is indeed the moment to adapt, then do it!
      if (partialChain.subSequenceSize() > 0) {
        P_V transporterVec(m_vectorSpace.zeroVector());
        for (unsigned int i = 0; i < partialChain.subSequenceSize(); ++i) {
          workingChain.getPositionValues(idOfFirstPositionInSubChain+i,transporterVec);

          // Transform to the space without boundaries.  This is the space
          // where the proposal distribution is Gaussian
          if (this->m_optionsObj->m_ov.m_doLogitTransform == true) {
            // Only do this when we don't use the Hessian (this may change in
            // future, but transformToGaussianSpace() is only implemented in
            // TransformedScaledCovMatrixTKGroup
            P_V transformedTransporterVec(m_vectorSpace.zeroVector());
            dynamic_cast<TransformedScaledCovMatrixTKGroup<P_V, P_M>* >(
                m_tk)->transformToGaussianSpace(transporterVec,
                  transformedTransporterVec);
            partialChain.setPositionValues(i, transformedTransporterVec);
          }
          else {
            partialChain.setPositionValues(i, transporterVec);
          }
        }
        updateAdaptedCovMatrix(partialChain,
                               idOfFirstPositionInSubChain,
                               m_lastChainSize,
                               *m_lastMean,
                               *m_lastAdaptedCovMatrix);

        if ((printAdaptedMatrix                                       == true) &&
            (m_optionsObj->m_ov.m_amAdaptedMatricesDataOutputFileName != "." )) { // palms
          char varNamePrefix[64];
          sprintf(varNamePrefix,"mat_am%d",positionId);

          char tmpChar[64];
          sprintf(tmpChar,"_am%d",positionId);

          std::set<unsigned int> tmpSet;
          tmpSet.insert(m_env.subId());

          m_lastAdaptedCovMatrix->subWriteContents(varNamePrefix,
                                                   (m_optionsObj->m_ov.m_amAdaptedMatricesDataOutputFileName+tmpChar),
                                                   m_optionsObj->m_ov.m_amAdaptedMatricesDataOutputFileType,
                                                   tmpSet);
          if ((m_env.subDisplayFile()                   ) &&
              (m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ": just wrote last adapted proposal cov matrix contents = " << *m_lastAdaptedCovMatrix
                                    << std::endl;
          }
        } // if (printAdaptedMatrix && ...)

        bool tmpCholIsPositiveDefinite = false;
        P_M tmpChol(*m_lastAdaptedCovMatrix);
        P_M attemptedMatrix(tmpChol);
        if ((m_env.subDisplayFile()        ) &&
            (m_env.displayVerbosity() >= 10)) {
    //(m_optionsObj->m_ov.m_totallyMute == false)) {
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                  << ", positionId = "  << positionId
                                  << ": 'am' calling first tmpChol.chol()"
                                  << std::endl;
        }
        iRC = tmpChol.chol();
        if (iRC) {
          std::cerr << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain(): first chol failed\n";
        }
        if ((m_env.subDisplayFile()        ) &&
            (m_env.displayVerbosity() >= 10)) {
    //(m_optionsObj->m_ov.m_totallyMute == false)) {
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                  << ", positionId = "  << positionId
                                  << ": 'am' got first tmpChol.chol() with iRC = " << iRC
                                  << std::endl;
          if (iRC == 0) {
            double diagMult = 1.;
            for (unsigned int j = 0; j < tmpChol.numRowsLocal(); ++j) {
              diagMult *= tmpChol(j,j);
            }
            *m_env.subDisplayFile() << "diagMult = " << diagMult
                                    << std::endl;
          }
        }
#if 0 // tentative logic
        if (iRC == 0) {
          double diagMult = 1.;
          for (unsigned int j = 0; j < tmpChol.numRowsLocal(); ++j) {
            diagMult *= tmpChol(j,j);
          }
          if (diagMult < 1.e-40) {
            iRC = UQ_MATRIX_IS_NOT_POS_DEFINITE_RC;
          }
        }
#endif

        if (iRC) {
          UQ_FATAL_TEST_MACRO(iRC != UQ_MATRIX_IS_NOT_POS_DEFINITE_RC,
                              m_env.worldRank(),
                              "MetropolisHastingsSG<P_V,P_M>::generateFullChain()",
                              "invalid iRC returned from first chol()");
          // Matrix is not positive definite
          P_M* tmpDiag = m_vectorSpace.newDiagMatrix(m_optionsObj->m_ov.m_amEpsilon);
          if (m_numDisabledParameters > 0) { // gpmsa2
            for (unsigned int paramId = 0; paramId < m_vectorSpace.dimLocal(); ++paramId) {
              if (m_parameterEnabledStatus[paramId] == false) {
                (*tmpDiag)(paramId,paramId) = 0.;
              }
            }
          }
          tmpChol = *m_lastAdaptedCovMatrix + *tmpDiag;
          attemptedMatrix = tmpChol;
          delete tmpDiag;
          if ((m_env.subDisplayFile()        ) &&
              (m_env.displayVerbosity() >= 10)) {
      //(m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ", positionId = "  << positionId
                                    << ": 'am' calling second tmpChol.chol()"
                                    << std::endl;
          }
          iRC = tmpChol.chol();
          if (iRC) {
            std::cerr << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain(): second chol failed\n";
          }
          if ((m_env.subDisplayFile()        ) &&
              (m_env.displayVerbosity() >= 10)) {
      //(m_optionsObj->m_ov.m_totallyMute == false)) {
            *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                                    << ", positionId = " << positionId
                                    << ": 'am' got second tmpChol.chol() with iRC = " << iRC
                                    << std::endl;
            if (iRC == 0) {
              double diagMult = 1.;
              for (unsigned int j = 0; j < tmpChol.numRowsLocal(); ++j) {
                diagMult *= tmpChol(j,j);
              }
              *m_env.subDisplayFile() << "diagMult = " << diagMult
                                      << std::endl;
            }
            else {
              *m_env.subDisplayFile() << "attemptedMatrix = " << attemptedMatrix // FIX ME: might demand parallelism
                                      << std::endl;
            }
          }
          if (iRC) {
            UQ_FATAL_TEST_MACRO(iRC != UQ_MATRIX_IS_NOT_POS_DEFINITE_RC,
                                m_env.worldRank(),
                                "MetropolisHastingsSG<P_V,P_M>::generateFullChain()",
                                "invalid iRC returned from second chol()");
            // Do nothing
          }
          else {
            tmpCholIsPositiveDefinite = true;
          }
        }
        else {
          tmpCholIsPositiveDefinite = true;
        }
        if (tmpCholIsPositiveDefinite) {
          P_M tmpMatrix(m_optionsObj->m_ov.m_amEta*attemptedMatrix);
          if (m_numDisabledParameters > 0) { // gpmsa2
            for (unsigned int paramId = 0; paramId < m_vectorSpace.dimLocal(); ++paramId) {
              if (m_parameterEnabledStatus[paramId] == false) {
                for (unsigned int i = 0; i < m_vectorSpace.dimLocal(); ++i) {
                  tmpMatrix(i,paramId) = 0.;
                }
                for (unsigned int j = 0; j < m_vectorSpace.dimLocal(); ++j) {
                  tmpMatrix(paramId,j) = 0.;
                }
                tmpMatrix(paramId,paramId) = 1.;
              }
            }
          }
          if (this->m_optionsObj->m_ov.m_doLogitTransform) {
            (dynamic_cast<TransformedScaledCovMatrixTKGroup<P_V,P_M>* >(m_tk))
              ->updateLawCovMatrix(tmpMatrix);
          }
          else{
            (dynamic_cast<ScaledCovMatrixTKGroup<P_V,P_M>* >(m_tk))
              ->updateLawCovMatrix(tmpMatrix);
          }

#ifdef UQ_DRAM_MCG_REQUIRES_INVERTED_COV_MATRICES
          UQ_FATAL_RC_MACRO(UQ_INCOMPLETE_IMPLEMENTATION_RC,
                            m_env.worldRank(),
                            "MetropolisHastingsSG<P_V,P_M>::generateFullChain()",
                            "need to code the update of m_upperCholProposalPrecMatrices");
#endif
        }

        //for (unsigned int i = 0; i < partialChain.subSequenceSize(); ++i) {
        //  if (partialChain[i]) delete partialChain[i];
        //}
      } // if (partialChain.subSequenceSize() > 0)

      if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) m_rawChainInfo.amRunTime += MiscGetEllapsedSeconds(&timevalAM);
    } // End of 'adaptive Metropolis' logic

    //****************************************************
    // Point 6/6 of logic for new position
    // Loop: print some information before going to the next chain position
    //****************************************************
    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 3            ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateFullChain()"
                              << ": finishing chain position of id = " << positionId
                              << ", accept = "                         << accept
                              << ", curLogTarget  = "                  << currentPositionData.logTarget()
                              << ", canLogTarget  = "                  << currentCandidateData.logTarget()
                              << std::endl;
    }

    if ((m_optionsObj->m_ov.m_rawChainDisplayPeriod                     > 0) &&
        (((positionId+1) % m_optionsObj->m_ov.m_rawChainDisplayPeriod) == 0)) {
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "Finished generating " << positionId+1
                                << " positions"  // root
                                << ", curret rejection percentage = " << (100. * ((double) m_rawChainInfo.numRejections)/((double) (positionId+1)))
                                << " %"
                                << std::endl;
      }
    }

    if ((m_env.subDisplayFile()                   ) &&
        (m_env.displayVerbosity() >= 10           ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "\n"
                              << "\n++++++++++++++++++++++++++++++++++++++++++++++++++++++++"
                              << "\n"
                              << std::endl;
    }
  } // end chain loop [for (unsigned int positionId = 1; positionId < workingChain.subSequenceSize(); ++positionId) {]

  if ((m_env.numSubEnvironments() < (unsigned int) m_env.fullComm().NumProc()) &&
      (m_initialPosition.numOfProcsForStorage() == 1                         ) &&
      (m_env.subRank()                          == 0                         )) {
    // subRank == 0 --> Tell all other processors to exit barrier now that the chain has been fully generated
    double aux = 0.;
    aux = m_targetPdfSynchronizer->callFunction(NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL,
                                                NULL);
    if (aux) {}; // just to remove compiler warning
  }

  //****************************************************
  // Print basic information about the chain
  //****************************************************
  m_rawChainInfo.runTime += MiscGetEllapsedSeconds(&timevalChain);
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Finished the generation of Markov chain " << workingChain.name()
                            << ", with sub "                              << workingChain.subSequenceSize()
                            << " positions";
    *m_env.subDisplayFile() << "\nSome information about this chain:"
                            << "\n  Chain run time       = " << m_rawChainInfo.runTime
                            << " seconds";
    if (m_optionsObj->m_ov.m_rawChainMeasureRunTimes) {
      *m_env.subDisplayFile() << "\n\n Breaking of the chain run time:\n";
      *m_env.subDisplayFile() << "\n  Candidate run time   = " << m_rawChainInfo.candidateRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.candidateRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n  Num target calls  = "    << m_rawChainInfo.numTargetCalls;
      *m_env.subDisplayFile() << "\n  Target d. run time   = " << m_rawChainInfo.targetRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.targetRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n  Avg target run time   = " << m_rawChainInfo.targetRunTime/((double) m_rawChainInfo.numTargetCalls)
                              << " seconds";
      *m_env.subDisplayFile() << "\n  Mh alpha run time    = " << m_rawChainInfo.mhAlphaRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.mhAlphaRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n  Dr alpha run time    = " << m_rawChainInfo.drAlphaRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.drAlphaRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n----------------------   --------------";
      double sumRunTime = m_rawChainInfo.candidateRunTime + m_rawChainInfo.targetRunTime + m_rawChainInfo.mhAlphaRunTime + m_rawChainInfo.drAlphaRunTime;
      *m_env.subDisplayFile() << "\n  Sum                  = " << sumRunTime
                              << " seconds ("                  << 100.*sumRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n\n Other run times:";
      *m_env.subDisplayFile() << "\n  DR run time          = " << m_rawChainInfo.drRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.drRunTime/m_rawChainInfo.runTime
                              << "%)";
      *m_env.subDisplayFile() << "\n  AM run time          = " << m_rawChainInfo.amRunTime
                              << " seconds ("                  << 100.*m_rawChainInfo.amRunTime/m_rawChainInfo.runTime
                              << "%)";
    }
    *m_env.subDisplayFile() << "\n  Number of DRs = "  << m_rawChainInfo.numDRs << "(num_DRs/chain_size = " << (double) m_rawChainInfo.numDRs/(double) workingChain.subSequenceSize()
                            << ")";
    *m_env.subDisplayFile() << "\n  Out of target support in DR = " << m_rawChainInfo.numOutOfTargetSupportInDR;
    *m_env.subDisplayFile() << "\n  Rejection percentage = "        << 100. * (double) m_rawChainInfo.numRejections/(double) workingChain.subSequenceSize()
                            << " %";
    *m_env.subDisplayFile() << "\n  Out of target support percentage = " << 100. * (double) m_rawChainInfo.numOutOfTargetSupport/(double) workingChain.subSequenceSize()
                            << " %";
    *m_env.subDisplayFile() << std::endl;
  }

  //****************************************************
  // Release memory before leaving routine
  //****************************************************
  //m_env.syncPrintDebugMsg("Leaving MetropolisHastingsSG<P_V,P_M>::generateFullChain()",3,3000000,m_env.fullComm()); // Dangerous to barrier on fullComm ... // KAUST

  return;
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::generateSequence	(	BaseVectorSequence< P_V, P_M > &	workingChain,
		ScalarSequence< double > *	workingLogLikelihoodValues,
		ScalarSequence< double > *	workingLogTargetValues
	)

Method to generate the chain.

Requirement: the vector space 'm_vectorSpace' should have dimension equal to the size of a vector in 'workingChain'. If the requirement is satisfied, this operation sets the size and the contents of 'workingChain' using the algorithm options set in the constructor. If not NULL, 'workingLogLikelihoodValues' and 'workingLogTargetValues' are set accordingly. This operation currently implements the DRAM algorithm (Heikki Haario, Marko Laine, Antonietta Mira and Eero Saksman, "DRAM: Efficient Adaptive MCMC", Statistics and Computing (2006), 16:339-354), as a translation of the core routine at the MCMC toolbox for MATLAB, available at helios.fmi.fi/~lainema/mcmc/‎ (accessed in July 3rd, 2013). Indeed, the example available in examples/statisticalInverseProblem is closely related to the 'normal example' in the toolbox. Over time, though:

1. the whole set of QUESO classes took shape, focusing not only on Markov Chains, but on statistical forward problems and model validation as well;
2. the interfaces to this Metropolis-Hastings class changed;
3. QUESO has parallel capabilities;
4. TK (transition kernel) class has been added in order to have both DRAM with Stochastic Newton capabilities.

Definition at line 975 of file MetropolisHastingsSG.C.

References QUESO::BaseVectorSequence< V, M >::computeFilterParams(), QUESO::BaseVectorSequence< V, M >::filter(), QUESO::ScalarSequence< T >::filter(), QUESO::SequenceOfVectors< V, M >::getPositionValues(), QUESO::BaseVectorSequence< V, M >::name(), QUESO::FilePtrSetStruct::ofsVar, queso_error, QUESO::BaseVectorSequence< V, M >::setName(), QUESO::BaseVectorSequence< V, M >::subPositionsOfMaximum(), QUESO::BaseVectorSequence< V, M >::subSequenceSize(), QUESO::SequenceOfVectors< V, M >::subSequenceSize(), QUESO::BaseVectorSequence< V, M >::subWriteContents(), QUESO::ScalarSequence< T >::subWriteContents(), QUESO::BaseVectorSequence< V, M >::unifiedPositionsOfMaximum(), QUESO::BaseVectorSequence< V, M >::unifiedWriteContents(), QUESO::ScalarSequence< T >::unifiedWriteContents(), UQ_FATAL_RC_MACRO, UQ_FATAL_TEST_MACRO, UQ_FILE_EXTENSION_FOR_MATLAB_FORMAT, UQ_MH_SG_FILENAME_FOR_NO_FILE, QUESO::UQ_OK_RC, and QUESO::BaseVectorSequence< V, M >::vectorSizeLocal().

Referenced by QUESO::MLSampling< P_V, P_M >::generateBalLinkedChains_all(), and QUESO::MLSampling< P_V, P_M >::generateUnbLinkedChains_all().

{
  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 5            ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Entering MetropolisHastingsSG<P_V,P_M>::generateSequence()..."
                            << std::endl;
  }

  if (m_vectorSpace.dimLocal() != workingChain.vectorSizeLocal()) {
    std::cerr << "'m_vectorSpace' and 'workingChain' are related to vector"
              << "spaces of different dimensions"
              << std::endl;
    queso_error();
  }

  // Set a flag to write out log likelihood or not
  bool writeLogLikelihood;
  if ((workingLogLikelihoodValues != NULL) &&
      (m_optionsObj->m_ov.m_outputLogLikelihood)) {
    writeLogLikelihood = true;
  }
  else {
    writeLogLikelihood = false;
  }

  // Set a flag to write out log target or not
  bool writeLogTarget;
  if ((workingLogTargetValues != NULL) &&
      (m_optionsObj->m_ov.m_outputLogTarget)) {
    writeLogTarget = true;
  }
  else {
    writeLogTarget = false;
  }

  MiscCheckTheParallelEnvironment<P_V,P_V>(m_initialPosition,
                                             m_initialPosition);

  P_V valuesOf1stPosition(m_initialPosition);
  int iRC = UQ_OK_RC;

  workingChain.setName(m_optionsObj->m_prefix + "rawChain");

  //****************************************************
  // Generate chain
  //****************************************************
  if (m_optionsObj->m_ov.m_rawChainDataInputFileName == UQ_MH_SG_FILENAME_FOR_NO_FILE) {
    generateFullChain(valuesOf1stPosition,
                      m_optionsObj->m_ov.m_rawChainSize,
                      workingChain,
                      workingLogLikelihoodValues,
                      workingLogTargetValues);
  }
  else {
    readFullChain(m_optionsObj->m_ov.m_rawChainDataInputFileName,
                  m_optionsObj->m_ov.m_rawChainDataInputFileType,
                  m_optionsObj->m_ov.m_rawChainSize,
                  workingChain);
  }

  //****************************************************
  // Open generic output file
  //****************************************************
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                            << ", prefix = "                                         << m_optionsObj->m_prefix
                            << ", chain name = "                                     << workingChain.name()
                            << ": about to try to open generic output file '"        << m_optionsObj->m_ov.m_dataOutputFileName
                            << "."                                                   << UQ_FILE_EXTENSION_FOR_MATLAB_FORMAT // Yes, always ".m"
                            << "', subId = "                                         << m_env.subId()
                            << ", subenv is allowed to write (1/true or 0/false) = " << (m_optionsObj->m_ov.m_dataOutputAllowedSet.find(m_env.subId()) != m_optionsObj->m_ov.m_dataOutputAllowedSet.end())
                            << "..."
                            << std::endl;
  }

  FilePtrSetStruct genericFilePtrSet;
  m_env.openOutputFile(m_optionsObj->m_ov.m_dataOutputFileName,
                       UQ_FILE_EXTENSION_FOR_MATLAB_FORMAT, // Yes, always ".m"
                       m_optionsObj->m_ov.m_dataOutputAllowedSet,
                       false,
                       genericFilePtrSet);

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                            << ", prefix = "                                   << m_optionsObj->m_prefix
                            << ", raw chain name = "                           << workingChain.name()
                            << ": returned from opening generic output file '" << m_optionsObj->m_ov.m_dataOutputFileName
                            << "."                                             << UQ_FILE_EXTENSION_FOR_MATLAB_FORMAT // Yes, always ".m"
                            << "', subId = "                                   << m_env.subId()
                            << std::endl;
  }

  //****************************************************************************************
  // Eventually:
  // --> write raw chain
  // --> compute statistics on it
  //****************************************************************************************
  if ((m_optionsObj->m_ov.m_rawChainDataOutputFileName != UQ_MH_SG_FILENAME_FOR_NO_FILE) &&
      (m_optionsObj->m_ov.m_totallyMute == false                                       )) {

    // Take "sub" care of raw chain
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                                         << m_optionsObj->m_prefix
                              << ", raw chain name = "                                 << workingChain.name()
                              << ": about to try to write raw sub chain output file '" << m_optionsObj->m_ov.m_rawChainDataOutputFileName
                              << "."                                                   << m_optionsObj->m_ov.m_rawChainDataOutputFileType
                              << "', subId = "                                         << m_env.subId()
                              << ", subenv is allowed to write  1/true or 0/false) = " << (m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet.find(m_env.subId()) != m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet.end())
                              << "..."
                              << std::endl;
    }

    if ((m_numPositionsNotSubWritten                     >  0  ) &&
        (m_optionsObj->m_ov.m_rawChainDataOutputFileName != ".")) {
      workingChain.subWriteContents(m_optionsObj->m_ov.m_rawChainSize - m_numPositionsNotSubWritten,
                                    m_numPositionsNotSubWritten,
                                    m_optionsObj->m_ov.m_rawChainDataOutputFileName,
                                    m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                    m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                << ": just wrote (per period request) remaining " << m_numPositionsNotSubWritten << " chain positions "
                                << ", " << m_optionsObj->m_ov.m_rawChainSize - m_numPositionsNotSubWritten << " <= pos <= " << m_optionsObj->m_ov.m_rawChainSize - 1
                                << std::endl;
      }

      if (writeLogLikelihood) {
        workingLogLikelihoodValues->subWriteContents(m_optionsObj->m_ov.m_rawChainSize - m_numPositionsNotSubWritten,
                                                     m_numPositionsNotSubWritten,
                                                     m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_loglikelihood",
                                                     m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                                     m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      }

      if (writeLogTarget) {
        workingLogTargetValues->subWriteContents(m_optionsObj->m_ov.m_rawChainSize - m_numPositionsNotSubWritten,
                                                 m_numPositionsNotSubWritten,
                                                 m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_logtarget",
                                                 m_optionsObj->m_ov.m_rawChainDataOutputFileType,
                                                 m_optionsObj->m_ov.m_rawChainDataOutputAllowedSet);
      }

      m_numPositionsNotSubWritten = 0;
    }

    // Compute raw sub MLE
    if (workingLogLikelihoodValues) {
      SequenceOfVectors<P_V,P_M> rawSubMLEpositions(m_vectorSpace,0,m_optionsObj->m_prefix+"rawSubMLEseq");
      double rawSubMLEvalue = workingChain.subPositionsOfMaximum(*workingLogLikelihoodValues,
                                                                 rawSubMLEpositions);
      UQ_FATAL_TEST_MACRO(rawSubMLEpositions.subSequenceSize() == 0,
                          m_env.worldRank(),
                          "MetropolisHastingsSG<P_V,P_M>::generateSequence()",
                          "rawSubMLEpositions.subSequenceSize() = 0");

      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        P_V tmpVec(m_vectorSpace.zeroVector());
        rawSubMLEpositions.getPositionValues(0,tmpVec);
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                << ": just computed MLE"
                                << ", rawSubMLEvalue = "                       << rawSubMLEvalue
                                << ", rawSubMLEpositions.subSequenceSize() = " << rawSubMLEpositions.subSequenceSize()
                                << ", rawSubMLEpositions[0] = "                << tmpVec
                                << std::endl;
      }
    }

    // Compute raw sub MAP
    if (workingLogTargetValues) {
      SequenceOfVectors<P_V,P_M> rawSubMAPpositions(m_vectorSpace,0,m_optionsObj->m_prefix+"rawSubMAPseq");
      double rawSubMAPvalue = workingChain.subPositionsOfMaximum(*workingLogTargetValues,
                                                                 rawSubMAPpositions);
      UQ_FATAL_TEST_MACRO(rawSubMAPpositions.subSequenceSize() == 0,
                          m_env.worldRank(),
                          "MetropolisHastingsSG<P_V,P_M>::generateSequence()",
                          "rawSubMAPpositions.subSequenceSize() = 0");

      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        P_V tmpVec(m_vectorSpace.zeroVector());
        rawSubMAPpositions.getPositionValues(0,tmpVec);
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                << ": just computed MAP"
                                << ", rawSubMAPvalue = "                       << rawSubMAPvalue
                                << ", rawSubMAPpositions.subSequenceSize() = " << rawSubMAPpositions.subSequenceSize()
                                << ", rawSubMAPpositions[0] = "                << tmpVec
                                << std::endl;
      }
    }

    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                                         << m_optionsObj->m_prefix
                              << ", raw chain name = "                                 << workingChain.name()
                              << ": returned from writing raw sub chain output file '" << m_optionsObj->m_ov.m_rawChainDataOutputFileName
                              << "."                                                   << m_optionsObj->m_ov.m_rawChainDataOutputFileType
                              << "', subId = "                                         << m_env.subId()
                              << std::endl;
    }

    // Take "unified" care of raw chain
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                                             << m_optionsObj->m_prefix
                              << ", raw chain name = "                                     << workingChain.name()
                              << ": about to try to write raw unified chain output file '" << m_optionsObj->m_ov.m_rawChainDataOutputFileName
                              << "."                                                       << m_optionsObj->m_ov.m_rawChainDataOutputFileType
                              << "', subId = "                                             << m_env.subId()
                              << "..."
                              << std::endl;
    }

    workingChain.unifiedWriteContents(m_optionsObj->m_ov.m_rawChainDataOutputFileName,
                                      m_optionsObj->m_ov.m_rawChainDataOutputFileType);
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                                             << m_optionsObj->m_prefix
                              << ", raw chain name = "                                     << workingChain.name()
                              << ": returned from writing raw unified chain output file '" << m_optionsObj->m_ov.m_rawChainDataOutputFileName
                              << "."                                                       << m_optionsObj->m_ov.m_rawChainDataOutputFileType
                              << "', subId = "                                             << m_env.subId()
                              << std::endl;
    }

    if (writeLogLikelihood) {
      workingLogLikelihoodValues->unifiedWriteContents(m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_loglikelihood",
                                                       m_optionsObj->m_ov.m_rawChainDataOutputFileType);
    }

    if (writeLogTarget) {
      workingLogTargetValues->unifiedWriteContents(m_optionsObj->m_ov.m_rawChainDataOutputFileName + "_logtarget",
                                                   m_optionsObj->m_ov.m_rawChainDataOutputFileType);
    }

    // Compute raw unified MLE
    if (workingLogLikelihoodValues) {
      SequenceOfVectors<P_V,P_M> rawUnifiedMLEpositions(m_vectorSpace,0,m_optionsObj->m_prefix+"rawUnifiedMLEseq");

      double rawUnifiedMLEvalue = workingChain.unifiedPositionsOfMaximum(*workingLogLikelihoodValues,
                                                                         rawUnifiedMLEpositions);

      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        P_V tmpVec(m_vectorSpace.zeroVector());

        // Make sure the positions vector (which only contains stuff on process
        // zero) actually contains positions
        if (rawUnifiedMLEpositions.subSequenceSize() > 0) {
          rawUnifiedMLEpositions.getPositionValues(0,tmpVec);
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                  << ": just computed MLE"
                                  << ", rawUnifiedMLEvalue = "                       << rawUnifiedMLEvalue
                                  << ", rawUnifiedMLEpositions.subSequenceSize() = " << rawUnifiedMLEpositions.subSequenceSize()
                                  << ", rawUnifiedMLEpositions[0] = "                << tmpVec
                                  << std::endl;
        }
      }
    }

    // Compute raw unified MAP
    if (workingLogTargetValues) {
      SequenceOfVectors<P_V,P_M> rawUnifiedMAPpositions(m_vectorSpace,0,m_optionsObj->m_prefix+"rawUnifiedMAPseq");
      double rawUnifiedMAPvalue = workingChain.unifiedPositionsOfMaximum(*workingLogTargetValues,
                                                                         rawUnifiedMAPpositions);

      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        P_V tmpVec(m_vectorSpace.zeroVector());

        // Make sure the positions vector (which only contains stuff on process
        // zero) actually contains positions
        if (rawUnifiedMAPpositions.subSequenceSize() > 0) {
          rawUnifiedMAPpositions.getPositionValues(0,tmpVec);
          *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                  << ": just computed MAP"
                                  << ", rawUnifiedMAPvalue = "                       << rawUnifiedMAPvalue
                                  << ", rawUnifiedMAPpositions.subSequenceSize() = " << rawUnifiedMAPpositions.subSequenceSize()
                                  << ", rawUnifiedMAPpositions[0] = "                << tmpVec
                                  << std::endl;
        }
      }
    }
  }

  // Take care of other aspects of raw chain
  if ((genericFilePtrSet.ofsVar                 ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    // Write likelihoodValues and alphaValues, if they were requested by user
    iRC = writeInfo(workingChain,
                    *genericFilePtrSet.ofsVar);
    UQ_FATAL_RC_MACRO(iRC,
                      m_env.worldRank(),
                      "MetropolisHastingsSG<P_V,P_M>::generateSequence()",
                      "improper writeInfo() return");
  }

#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
  if (m_optionsObj->m_ov.m_rawChainComputeStats) {
    workingChain.computeStatistics(*m_optionsObj->m_rawChainStatisticalOptionsObj,
                                   genericFilePtrSet.ofsVar);
  }
#endif

  //****************************************************************************************
  // Eventually:
  // --> filter the raw chain
  // --> write it
  // --> compute statistics on it
  //****************************************************************************************
  if (m_optionsObj->m_ov.m_filteredChainGenerate) {
    // Compute filter parameters
    unsigned int filterInitialPos = (unsigned int) (m_optionsObj->m_ov.m_filteredChainDiscardedPortion * (double) workingChain.subSequenceSize());
    unsigned int filterSpacing    = m_optionsObj->m_ov.m_filteredChainLag;
    if (filterSpacing == 0) {
      workingChain.computeFilterParams(genericFilePtrSet.ofsVar,
                                       filterInitialPos,
                                       filterSpacing);
    }

    // Filter positions from the converged portion of the chain
    workingChain.filter(filterInitialPos,
                        filterSpacing);
    workingChain.setName(m_optionsObj->m_prefix + "filtChain");

    if (workingLogLikelihoodValues) workingLogLikelihoodValues->filter(filterInitialPos,
                                                                       filterSpacing);

    if (workingLogTargetValues) workingLogTargetValues->filter(filterInitialPos,
                                                               filterSpacing);

    // Write filtered chain
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                                                      << m_optionsObj->m_prefix
                              << ": checking necessity of opening output files for filtered chain " << workingChain.name()
                              << "..."
                              << std::endl;
    }

    // Take "sub" care of filtered chain
    if ((m_optionsObj->m_ov.m_filteredChainDataOutputFileName != UQ_MH_SG_FILENAME_FOR_NO_FILE) &&
        (m_optionsObj->m_ov.m_totallyMute == false                                            )) {
      workingChain.subWriteContents(0,
                                    workingChain.subSequenceSize(),
                                    m_optionsObj->m_ov.m_filteredChainDataOutputFileName,
                                    m_optionsObj->m_ov.m_filteredChainDataOutputFileType,
                                    m_optionsObj->m_ov.m_filteredChainDataOutputAllowedSet);
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                << ", prefix = "                << m_optionsObj->m_prefix
                                << ": closed sub output file '" << m_optionsObj->m_ov.m_filteredChainDataOutputFileName
                                << "' for filtered chain "      << workingChain.name()
                                << std::endl;
      }

      if (writeLogLikelihood) {
        workingLogLikelihoodValues->subWriteContents(0,
                                                     workingChain.subSequenceSize(),
                                                     m_optionsObj->m_ov.m_filteredChainDataOutputFileName + "_loglikelihood",
                                                     m_optionsObj->m_ov.m_filteredChainDataOutputFileType,
                                                     m_optionsObj->m_ov.m_filteredChainDataOutputAllowedSet);
      }

      if (writeLogTarget) {
        workingLogTargetValues->subWriteContents(0,
                                                 workingChain.subSequenceSize(),
                                                 m_optionsObj->m_ov.m_filteredChainDataOutputFileName + "_logtarget",
                                                 m_optionsObj->m_ov.m_filteredChainDataOutputFileType,
                                                 m_optionsObj->m_ov.m_filteredChainDataOutputAllowedSet);
      }
    }

    // Compute sub filtered MLE and sub filtered MAP

    // Take "unified" care of filtered chain
    if ((m_optionsObj->m_ov.m_filteredChainDataOutputFileName != UQ_MH_SG_FILENAME_FOR_NO_FILE) &&
        (m_optionsObj->m_ov.m_totallyMute == false                                            )) {
      workingChain.unifiedWriteContents(m_optionsObj->m_ov.m_filteredChainDataOutputFileName,
                                        m_optionsObj->m_ov.m_filteredChainDataOutputFileType);
      if ((m_env.subDisplayFile()                   ) &&
          (m_optionsObj->m_ov.m_totallyMute == false)) {
        *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                                << ", prefix = "                    << m_optionsObj->m_prefix
                                << ": closed unified output file '" << m_optionsObj->m_ov.m_filteredChainDataOutputFileName
                                << "' for filtered chain "          << workingChain.name()
                                << std::endl;
      }

      if (writeLogLikelihood) {
        workingLogLikelihoodValues->unifiedWriteContents(m_optionsObj->m_ov.m_filteredChainDataOutputFileName + "_loglikelihood",
                                                         m_optionsObj->m_ov.m_filteredChainDataOutputFileType);
      }

      if (writeLogTarget) {
        workingLogTargetValues->unifiedWriteContents(m_optionsObj->m_ov.m_filteredChainDataOutputFileName + "_logtarget",
                                                     m_optionsObj->m_ov.m_filteredChainDataOutputFileType);
      }
    }

    // Compute unified filtered MLE and unified filtered MAP

    // Compute statistics
#ifdef QUESO_USES_SEQUENCE_STATISTICAL_OPTIONS
    if (m_optionsObj->m_ov.m_filteredChainComputeStats) {
      workingChain.computeStatistics(*m_optionsObj->m_filteredChainStatisticalOptionsObj,
                                     genericFilePtrSet.ofsVar);
    }
#endif
  }

  //****************************************************
  // Close generic output file
  //****************************************************
  if (genericFilePtrSet.ofsVar) {
    //genericFilePtrSet.ofsVar->close();
    delete genericFilePtrSet.ofsVar;
    if ((m_env.subDisplayFile()                   ) &&
        (m_optionsObj->m_ov.m_totallyMute == false)) {
      *m_env.subDisplayFile() << "In MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                              << ", prefix = "                    << m_optionsObj->m_prefix
                              << ": closed generic output file '" << m_optionsObj->m_ov.m_dataOutputFileName
                              << "' (chain name is "              << workingChain.name()
                              << ")"
                              << std::endl;
    }
  }

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << std::endl;
  }

  //m_env.syncPrintDebugMsg("Leaving MetropolisHastingsSG<P_V,P_M>::generateSequence()",2,3000000,m_env.fullComm()); // Dangerous to barrier on fullComm ... // KAUST

  if ((m_env.subDisplayFile()                   ) &&
      (m_env.displayVerbosity() >= 5            ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "Leaving MetropolisHastingsSG<P_V,P_M>::generateSequence()"
                            << std::endl;
  }

  return;
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::getRawChainInfo

(

MHRawChainInfoStruct &

info

)

const

Gets information from the raw chain.

Definition at line 1437 of file MetropolisHastingsSG.C.

Referenced by QUESO::MLSampling< P_V, P_M >::generateBalLinkedChains_all(), and QUESO::MLSampling< P_V, P_M >::generateUnbLinkedChains_all().

{
  info = m_rawChainInfo;
  return;
}

template<class P_V, class P_M>

void QUESO::MetropolisHastingsSG< P_V, P_M >::print

(

std::ostream &

os

)

const

TODO: Prints the sequence.

Todo:

: implement me!

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::readFullChain ( const std::string &  inputFileName, const std::string &  inputFileType, unsigned int  chainSize, BaseVectorSequence< P_V, P_M > &  workingChain  )

private

This method reads the chain contents.

Definition at line 1445 of file MetropolisHastingsSG.C.

References QUESO::BaseVectorSequence< V, M >::unifiedReadContents().

{
  workingChain.unifiedReadContents(inputFileName,inputFileType,chainSize);
  return;
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::transformInitialCovMatrixToGaussianSpace ( const BoxSubset< P_V, P_M > &  boxSubset )

private

Definition at line 2526 of file MetropolisHastingsSG.C.

References QUESO::BoxSubset< V, M >::maxValues(), and QUESO::BoxSubset< V, M >::minValues().

{
  P_V min_domain_bounds(boxSubset.minValues());
  P_V max_domain_bounds(boxSubset.maxValues());

  for (unsigned int i = 0; i < min_domain_bounds.sizeLocal(); i++) {
    double min_val = min_domain_bounds[i];
    double max_val = max_domain_bounds[i];

    if (boost::math::isfinite(min_val) && boost::math::isfinite(max_val)) {
      if (m_initialProposalCovMatrix(i, i) >= max_val - min_val) {
        // User is trying to specify a uniform proposal distribution, which
        // is unsupported.  Throw an error for now.
        std::cerr << "Proposal variance element "
                  << i
                  << " is "
                  << m_initialProposalCovMatrix(i, i)
                  << " but domain is of size "
                  << max_val - min_val
                  << std::endl;
        std::cerr << "QUESO does not support uniform-like proposal "
                  << "distributions.  Try making the proposal variance smaller"
                  << std::endl;
      }

      // The mean is the midpoint
      double midpoint = (max_val + min_val) / 2.0;
      double derivative = (1.0 / (midpoint - min_val)) +
                          (1.0 / (max_val - midpoint));

      // User specified the covariance matrix on a bounded domain, so we
      // need to *divide* by the derivative of the transform
      double transformJacobian = 1.0 / derivative;

      // Just do the multiplication by hand for now.  There's no method in
      // Gsl(Vector|Matrix) to do this for me.
      for (unsigned int j = 0; j < min_domain_bounds.sizeLocal(); j++) {
        // Multiply column j by element j
        m_initialProposalCovMatrix(j, i) *= transformJacobian;
      }
      for (unsigned int j = 0; j < min_domain_bounds.sizeLocal(); j++) {
        // Multiply row j by element j
        m_initialProposalCovMatrix(i, j) *= transformJacobian;
      }
    }
  }
}

template<class P_V , class P_M >

const BaseTKGroup< P_V, P_M > & QUESO::MetropolisHastingsSG< P_V, P_M >::transitionKernel

(

)

const

Returns the underlying transition kernel for this sequence generator.

Definition at line 961 of file MetropolisHastingsSG.C.

{
  return *m_tk;
}

template<class P_V , class P_M >

void QUESO::MetropolisHastingsSG< P_V, P_M >::updateAdaptedCovMatrix ( const BaseVectorSequence< P_V, P_M > &  subChain, unsigned int  idOfFirstPositionInSubChain, double &  lastChainSize, P_V &  lastMean, P_M &  lastAdaptedCovMatrix  )

private

This method updates the adapted covariance matrix.

This function is called is the option to used adaptive Metropolis was chosen by the user (via options input file). It performs an adaptation of covariance matrix.

Definition at line 2453 of file MetropolisHastingsSG.C.

References QUESO::BaseVectorSequence< V, M >::getPositionValues(), QUESO::matrixProduct(), QUESO::BaseVectorSequence< V, M >::subMeanExtra(), QUESO::BaseVectorSequence< V, M >::subMeanPlain(), QUESO::BaseVectorSequence< V, M >::subSequenceSize(), and UQ_FATAL_TEST_MACRO.

{
  double doubleSubChainSize = (double) partialChain.subSequenceSize();
  if (lastChainSize == 0) {
    UQ_FATAL_TEST_MACRO(partialChain.subSequenceSize() < 2,
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::updateAdaptedCovMatrix()",
                        "'partialChain.subSequenceSize()' should be >= 2");

#if 1 // prudenci-2012-07-06
    lastMean = partialChain.subMeanPlain();
#else
    partialChain.subMeanExtra(0,partialChain.subSequenceSize(),lastMean);
#endif

    P_V tmpVec(m_vectorSpace.zeroVector());
    lastAdaptedCovMatrix = -doubleSubChainSize * matrixProduct(lastMean,lastMean);
    for (unsigned int i = 0; i < partialChain.subSequenceSize(); ++i) {
      partialChain.getPositionValues(i,tmpVec);
      lastAdaptedCovMatrix += matrixProduct(tmpVec,tmpVec);
    }
    lastAdaptedCovMatrix /= (doubleSubChainSize - 1.); // That is why partialChain size must be >= 2
  }
  else {
    UQ_FATAL_TEST_MACRO(partialChain.subSequenceSize() < 1,
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::updateAdaptedCovMatrix()",
                        "'partialChain.subSequenceSize()' should be >= 1");

    UQ_FATAL_TEST_MACRO(idOfFirstPositionInSubChain < 1,
                        m_env.worldRank(),
                        "MetropolisHastingsSG<P_V,P_M>::updateAdaptedCovMatrix()",
                        "'idOfFirstPositionInSubChain' should be >= 1");

    P_V tmpVec (m_vectorSpace.zeroVector());
    P_V diffVec(m_vectorSpace.zeroVector());
    for (unsigned int i = 0; i < partialChain.subSequenceSize(); ++i) {
      double doubleCurrentId  = (double) (idOfFirstPositionInSubChain+i);
      partialChain.getPositionValues(i,tmpVec);
      diffVec = tmpVec - lastMean;

      double ratio1         = (1. - 1./doubleCurrentId); // That is why idOfFirstPositionInSubChain must be >= 1
      double ratio2         = (1./(1.+doubleCurrentId));
      lastAdaptedCovMatrix  = ratio1 * lastAdaptedCovMatrix + ratio2 * matrixProduct(diffVec,diffVec);
      lastMean             += ratio2 * diffVec;
    }
  }
  lastChainSize += doubleSubChainSize;

  if (m_numDisabledParameters > 0) { // gpmsa2
    for (unsigned int paramId = 0; paramId < m_vectorSpace.dimLocal(); ++paramId) {
      if (m_parameterEnabledStatus[paramId] == false) {
        for (unsigned int i = 0; i < m_vectorSpace.dimLocal(); ++i) {
          lastAdaptedCovMatrix(i,paramId) = 0.;
        }
        for (unsigned int j = 0; j < m_vectorSpace.dimLocal(); ++j) {
          lastAdaptedCovMatrix(paramId,j) = 0.;
        }
        lastAdaptedCovMatrix(paramId,paramId) = 1.;
      }
    }
  }

  return;
}

template<class P_V , class P_M >

int QUESO::MetropolisHastingsSG< P_V, P_M >::writeInfo ( const BaseVectorSequence< P_V, P_M > &  workingChain, std::ofstream &  ofsvar  ) const

private

Writes information about the Markov chain in a file.

It writes down the alpha quotients, the number of rejected positions, number of positions out of target support, the name of the components and the chain runtime.

Definition at line 883 of file MetropolisHastingsSG.C.

References QUESO::BaseVectorSequence< V, M >::name(), QUESO::BaseVectorSequence< V, M >::subSequenceSize(), and QUESO::UQ_OK_RC.

{
  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "\n"
                            << "\n-----------------------------------------------------"
                            << "\n Writing more information about the Markov chain " << workingChain.name() << " to output file ..."
                            << "\n-----------------------------------------------------"
                            << "\n"
                            << std::endl;
  }

  int iRC = UQ_OK_RC;

  if (m_optionsObj->m_ov.m_rawChainGenerateExtra) {
    // Write m_logTargets
    ofsvar << m_optionsObj->m_prefix << "logTargets_sub" << m_env.subIdString() << " = zeros(" << m_logTargets.size()
           << ","                    << 1
           << ");"
           << std::endl;
    ofsvar << m_optionsObj->m_prefix << "logTargets_sub" << m_env.subIdString() << " = [";
    for (unsigned int i = 0; i < m_logTargets.size(); ++i) {
      ofsvar << m_logTargets[i]
             << std::endl;
    }
    ofsvar << "];\n";

    // Write m_alphaQuotients
    ofsvar << m_optionsObj->m_prefix << "alphaQuotients_sub" << m_env.subIdString() << " = zeros(" << m_alphaQuotients.size()
           << ","                    << 1
           << ");"
           << std::endl;
    ofsvar << m_optionsObj->m_prefix << "alphaQuotients_sub" << m_env.subIdString() << " = [";
    for (unsigned int i = 0; i < m_alphaQuotients.size(); ++i) {
      ofsvar << m_alphaQuotients[i]
             << std::endl;
    }
    ofsvar << "];\n";
  }

  // Write number of rejections
  ofsvar << m_optionsObj->m_prefix << "rejected = " << (double) m_rawChainInfo.numRejections/(double) (workingChain.subSequenceSize()-1)
         << ";\n"
         << std::endl;

  if (false) { // Don't see need for code below. Let it there though, compiling, in case it is needed in the future.
    // Write names of components
    ofsvar << m_optionsObj->m_prefix << "componentNames = {";
    m_vectorSpace.printComponentsNames(ofsvar,false);
    ofsvar << "};\n";

    // Write number of out of target support
    ofsvar << m_optionsObj->m_prefix << "outTargetSupport = " << (double) m_rawChainInfo.numOutOfTargetSupport/(double) (workingChain.subSequenceSize()-1)
           << ";\n"
           << std::endl;

    // Write chain run time
    ofsvar << m_optionsObj->m_prefix << "runTime = " << m_rawChainInfo.runTime
           << ";\n"
           << std::endl;
  }

  if ((m_env.subDisplayFile()                   ) &&
      (m_optionsObj->m_ov.m_totallyMute == false)) {
    *m_env.subDisplayFile() << "\n-----------------------------------------------------"
                            << "\n Finished writing more information about the Markov chain " << workingChain.name()
                            << "\n-----------------------------------------------------"
                            << "\n"
                            << std::endl;
  }

  return iRC;
}

Friends And Related Function Documentation

template<class P_V, class P_M>

std::ostream& operator<< ( std::ostream &  os, const MetropolisHastingsSG< P_V, P_M > &  obj  )

friend

Definition at line 206 of file MetropolisHastingsSG.h.

  {
    obj.print(os);

    return os;
  }

Member Data Documentation

template<class P_V, class P_M>

std::vector<double> QUESO::MetropolisHastingsSG< P_V, P_M >::m_alphaQuotients

private

Definition at line 289 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

MhOptionsValues QUESO::MetropolisHastingsSG< P_V, P_M >::m_alternativeOptionsValues

private

Definition at line 297 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

bool QUESO::MetropolisHastingsSG< P_V, P_M >::m_computeInitialPriorAndLikelihoodValues

private

Definition at line 299 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

const BaseEnvironment& QUESO::MetropolisHastingsSG< P_V, P_M >::m_env

private

Definition at line 274 of file MetropolisHastingsSG.h.

Referenced by QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG().

template<class P_V, class P_M>

std::vector<unsigned int> QUESO::MetropolisHastingsSG< P_V, P_M >::m_idsOfUniquePositions

private

Definition at line 287 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

double QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialLogLikelihoodValue

private

Definition at line 301 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

double QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialLogPriorValue

private

Definition at line 300 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

P_V QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialPosition

private

Definition at line 277 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

P_M QUESO::MetropolisHastingsSG< P_V, P_M >::m_initialProposalCovMatrix

private

Definition at line 278 of file MetropolisHastingsSG.h.

Referenced by QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG().

template<class P_V, class P_M>

P_M* QUESO::MetropolisHastingsSG< P_V, P_M >::m_lastAdaptedCovMatrix

private

Definition at line 292 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

double QUESO::MetropolisHastingsSG< P_V, P_M >::m_lastChainSize

private

Definition at line 290 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

P_V* QUESO::MetropolisHastingsSG< P_V, P_M >::m_lastMean

private

Definition at line 291 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

std::vector<double> QUESO::MetropolisHastingsSG< P_V, P_M >::m_logTargets

private

Definition at line 288 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

bool QUESO::MetropolisHastingsSG< P_V, P_M >::m_nullInputProposalCovMatrix

private

Definition at line 279 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

unsigned int QUESO::MetropolisHastingsSG< P_V, P_M >::m_numDisabledParameters

private

Definition at line 280 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

unsigned int QUESO::MetropolisHastingsSG< P_V, P_M >::m_numPositionsNotSubWritten

private

Definition at line 293 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

MetropolisHastingsSGOptions* QUESO::MetropolisHastingsSG< P_V, P_M >::m_optionsObj

private

Definition at line 298 of file MetropolisHastingsSG.h.

Referenced by QUESO::MetropolisHastingsSG< P_V, P_M >::MetropolisHastingsSG().

template<class P_V, class P_M>

std::vector<bool> QUESO::MetropolisHastingsSG< P_V, P_M >::m_parameterEnabledStatus

private

Definition at line 281 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

unsigned int QUESO::MetropolisHastingsSG< P_V, P_M >::m_positionIdForDebugging

private

Definition at line 285 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

MHRawChainInfoStruct QUESO::MetropolisHastingsSG< P_V, P_M >::m_rawChainInfo

private

Definition at line 295 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

unsigned int QUESO::MetropolisHastingsSG< P_V, P_M >::m_stageIdForDebugging

private

Definition at line 286 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

const BaseJointPdf<P_V,P_M>& QUESO::MetropolisHastingsSG< P_V, P_M >::m_targetPdf

private

Definition at line 276 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

const ScalarFunctionSynchronizer<P_V,P_M>* QUESO::MetropolisHastingsSG< P_V, P_M >::m_targetPdfSynchronizer

private

Definition at line 282 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

BaseTKGroup<P_V,P_M>* QUESO::MetropolisHastingsSG< P_V, P_M >::m_tk

private

Definition at line 284 of file MetropolisHastingsSG.h.

template<class P_V, class P_M>

const VectorSpace<P_V,P_M>& QUESO::MetropolisHastingsSG< P_V, P_M >::m_vectorSpace

private

Definition at line 275 of file MetropolisHastingsSG.h.

---

The documentation for this class was generated from the following files:

• src/stats/inc/MetropolisHastingsSG.h
• src/stats/src/MetropolisHastingsSG.C