unsigned int
SimulationModel<S_V,S_M,P_V,P_M,Q_V,Q_M>::computePEta(const Q_V& svdS_vec)
{
unsigned int result = 0;
if (m_optionsObj->m_ov.m_cdfThresholdForPEta <= 0.) {
result = m_optionsObj->m_ov.m_p_eta;
}
else if (m_optionsObj->m_ov.m_cdfThresholdForPEta >= 1.) {
for (unsigned int i = 0; i < svdS_vec.sizeLocal(); ++i) {
if ((svdS_vec[i]/svdS_vec[0]) > m_optionsObj->m_ov.m_zeroRelativeSingularValue) {
result++;
}
}
}
else {
Q_V auxVec(svdS_vec);
double auxSum = 0.;
for (unsigned int i = 0; i < auxVec.sizeLocal(); ++i) {
double auxTerm = auxVec[i];
auxVec[i] = auxTerm * auxTerm;
auxSum += auxVec[i];
}
for (unsigned int i = 0; i < auxVec.sizeLocal(); ++i) {
auxVec[i] /= auxSum;
}
Q_V auxCumSum(m_m_space.zeroVector());
auxCumSum[0] = auxVec[0];
for (unsigned int i = 1; i < auxVec.sizeLocal(); ++i) {
auxCumSum[i] = auxCumSum[i-1] + auxVec[i];
}
for (unsigned int i = 0; i < auxVec.sizeLocal(); ++i) {
if (auxCumSum[i] < m_optionsObj->m_ov.m_cdfThresholdForPEta) {
result++;
}
}
result += 1;
}
return result;
}
void compute(const QUESO::FullEnvironment& env, unsigned int numModes) {
////////////////////////////////////////////////////////
// Step 1 of 5: Instantiate the parameter space
////////////////////////////////////////////////////////
#ifdef APPLS_MODAL_USES_CONCATENATION
QUESO::VectorSpace<QUESO::GslVector, QUESO::GslMatrix>
paramSpaceA(env, "paramA_", 2, NULL);
QUESO::VectorSpace<QUESO::GslVector, QUESO::GslMatrix>
paramSpaceB(env, "paramB_", 1, NULL);
#endif
QUESO::VectorSpace<QUESO::GslVector, QUESO::GslMatrix>
paramSpace(env, "param_", 3, NULL);
////////////////////////////////////////////////////////
// Step 2 of 5: Instantiate the parameter domain
////////////////////////////////////////////////////////
#ifdef APPLS_MODAL_USES_CONCATENATION
QUESO::GslVector paramMinsA(paramSpaceA.zeroVector());
paramMinsA[0] = 0.;
paramMinsA[1] = 0.;
QUESO::GslVector paramMaxsA(paramSpaceA.zeroVector());
paramMaxsA[0] = 3.;
paramMaxsA[1] = 3.;
QUESO::BoxSubset<QUESO::GslVector,QUESO::GslMatrix>
paramDomainA("paramA_",paramSpaceA,paramMinsA,paramMaxsA);
QUESO::GslVector paramMinsB(paramSpaceB.zeroVector());
paramMinsB[0] = 0.;
QUESO::GslVector paramMaxsB(paramSpaceB.zeroVector());
paramMaxsB[0] = INFINITY;
QUESO::BoxSubset<QUESO::GslVector,QUESO::GslMatrix>
paramDomainB("paramB_",paramSpaceB,paramMinsB,paramMaxsB);
QUESO::ConcatenationSubset<QUESO::GslVector,QUESO::GslMatrix>
paramDomain("",paramSpace,paramDomainA,paramDomainB);
#else
QUESO::GslVector paramMins(paramSpace.zeroVector());
paramMins[0] = 0.;
paramMins[1] = 0.;
paramMins[2] = 0.;
QUESO::GslVector paramMaxs(paramSpace.zeroVector());
paramMaxs[0] = 3.;
paramMaxs[1] = 3.;
paramMaxs[2] = .3;
QUESO::BoxSubset<QUESO::GslVector,QUESO::GslMatrix>
paramDomain("param_",paramSpace,paramMins,paramMaxs);
#endif
////////////////////////////////////////////////////////
// Step 3 of 5: Instantiate the likelihood function object
////////////////////////////////////////////////////////
likelihoodRoutine_DataType likelihoodRoutine_Data;
likelihoodRoutine_Data.numModes = numModes;
QUESO::GenericScalarFunction<QUESO::GslVector,QUESO::GslMatrix>
likelihoodFunctionObj("like_",
paramDomain,
likelihoodRoutine,
(void *) &likelihoodRoutine_Data,
true); // routine computes [-2.*ln(function)]
////////////////////////////////////////////////////////
// Step 4 of 5: Instantiate the inverse problem
////////////////////////////////////////////////////////
#ifdef APPLS_MODAL_USES_CONCATENATION
QUESO::UniformVectorRV<QUESO::GslVector,QUESO::GslMatrix>
priorRvA("priorA_", paramDomainA);
QUESO::GslVector alpha(paramSpaceB.zeroVector());
alpha[0] = 3.;
QUESO::GslVector beta(paramSpaceB.zeroVector());
if (numModes == 1) {
beta[0] = 0.09709133373799;
}
else {
beta[0] = 0.08335837191688;
}
QUESO::InverseGammaVectorRV<QUESO::GslVector,QUESO::GslMatrix>
priorRvB("priorB_", paramDomainB,alpha,beta);
QUESO::ConcatenatedVectorRV<QUESO::GslVector,QUESO::GslMatrix>
priorRv("prior_", priorRvA, priorRvB, paramDomain);
#else
QUESO::UniformVectorRV<QUESO::GslVector,QUESO::GslMatrix>
priorRv("prior_", paramDomain);
#endif
QUESO::GenericVectorRV<QUESO::GslVector,QUESO::GslMatrix>
postRv("post_", paramSpace);
QUESO::StatisticalInverseProblem<QUESO::GslVector,QUESO::GslMatrix>
ip("", NULL, priorRv, likelihoodFunctionObj, postRv);
////////////////////////////////////////////////////////
// Step 5 of 5: Solve the inverse problem
////////////////////////////////////////////////////////
ip.solveWithBayesMLSampling();
////////////////////////////////////////////////////////
// Print some statistics
////////////////////////////////////////////////////////
unsigned int numPosTotal = postRv.realizer().subPeriod();
if (env.subDisplayFile()) {
*env.subDisplayFile() << "numPosTotal = " << numPosTotal
<< std::endl;
}
QUESO::GslVector auxVec(paramSpace.zeroVector());
unsigned int numPosTheta1SmallerThan1dot5 = 0;
for (unsigned int i = 0; i < numPosTotal; ++i) {
postRv.realizer().realization(auxVec);
if (auxVec[0] < 1.5) numPosTheta1SmallerThan1dot5++;
}
if (env.subDisplayFile()) {
*env.subDisplayFile() << "numPosTheta1SmallerThan1dot5 = " << numPosTheta1SmallerThan1dot5
<< ", ratio = " << ((double) numPosTheta1SmallerThan1dot5)/((double) numPosTotal)
<< std::endl;
}
return;
}
//------------------------------------------------------
//------------------------------------------------------
//------------------------------------------------------
void debug_hyst(const QUESO::FullEnvironment& env) {
unsigned int numFloors = 4;
unsigned int numTimeSteps = 401;
std::vector<double> accel(numTimeSteps,0.);
FILE *inp;
inp = fopen("an.txt","r");
unsigned int numObservations = 0;
double tmpA;
while (fscanf(inp,"%lf",&tmpA) != EOF) {
UQ_FATAL_TEST_MACRO((numObservations >= accel.size()),
env.fullRank(),
"debug_hyst()",
"input file has too many lines");
accel[numObservations] = tmpA;
numObservations++;
}
UQ_FATAL_TEST_MACRO((numObservations != accel.size()),
env.fullRank(),
"debug_hyst()",
"input file has a smaller number of observations than expected");
QUESO::VectorSpace<> floorSpace(env, "floor_", numFloors, NULL);
QUESO::GslVector kVec(floorSpace.zeroVector());
kVec[0] = 2.20e+7;
kVec[1] = 2.00e+7;
kVec[2] = 1.70e+7;
kVec[3] = 1.45e+7;
QUESO::GslVector rVec(floorSpace.zeroVector());
rVec[0] = 0.1;
rVec[1] = 0.1;
rVec[2] = 0.1;
rVec[3] = 0.1;
QUESO::GslVector uVec(floorSpace.zeroVector());
uVec[0] = 0.008;
uVec[1] = 0.008;
uVec[2] = 0.007;
uVec[3] = 0.007;
double rho = 7.959e-1 ;//0.1976;
double gamma = 2.500e-3 ; //0.0038;
std::vector<double> t(numTimeSteps,0.);
QUESO::SequenceOfVectors<> u (floorSpace,numTimeSteps,""); // absolute displacement
QUESO::SequenceOfVectors<> ud (floorSpace,numTimeSteps,""); // velocity
QUESO::SequenceOfVectors<> udd (floorSpace,numTimeSteps,""); // acceleration
QUESO::SequenceOfVectors<> resfor(floorSpace,numTimeSteps,""); // restoring force
QUESO::SequenceOfVectors<> ru (floorSpace,numTimeSteps,""); // relative displacement
u.setPositionValues (0,floorSpace.zeroVector());
ud.setPositionValues (0,floorSpace.zeroVector());
udd.setPositionValues (0,floorSpace.zeroVector());
resfor.setPositionValues(0,floorSpace.zeroVector());
ru.setPositionValues (0,floorSpace.zeroVector());
QUESO::GslVector massVec(floorSpace.zeroVector());
massVec.cwSet(2.0e+4);
hystereticModel(env,
massVec,
kVec,
rVec,
uVec,
rho,
gamma,
accel,
t, // output
u,
ud,
udd,
resfor,
ru);
std::set<unsigned int> auxSet;
auxSet.insert(0);
// Writing some data to the file 'outputData/cpp_output.m'
std::ofstream myFile;
myFile.open ("outputData/cpp_output.m");
// Write 't_cpp'
myFile << "t_cpp = zeros(" << 1 << "," << numTimeSteps << ");\n"
<< "t_cpp = [";
for (unsigned int j = 0; j < numTimeSteps; ++j) {
myFile << t[j] << " ";
}
myFile << "];" << std::endl;
// Write 'a_cpp'
myFile << "a_cpp = zeros(" << 1 << "," << numTimeSteps << ");\n"
<< "a_cpp = [";
for (unsigned int j = 0; j < numTimeSteps; ++j) {
myFile << accel[j] << " ";
}
myFile << "];" << std::endl;
QUESO::GslVector auxVec(floorSpace.zeroVector());
// Write 'u_cpp'
myFile << "u_cpp = zeros(" << numFloors << "," << numTimeSteps << ");\n"
<< "u_cpp = [";
for (unsigned int i = 0; i < numFloors; ++i) {
for (unsigned int j = 0; j < numTimeSteps; ++j) {
u.getPositionValues(j,auxVec);
myFile << auxVec[i] << " ";
}
myFile << std::endl;
}
myFile << "];" << std::endl;
// Write 'ud_cpp'
myFile << "ud_cpp = zeros(" << numFloors << "," << numTimeSteps << ");\n"
<< "ud_cpp = [";
for (unsigned int i = 0; i < numFloors; ++i) {
for (unsigned int j = 0; j < numTimeSteps; ++j) {
ud.getPositionValues(j,auxVec);
myFile << auxVec[i] << " ";
}
myFile << std::endl;
}
myFile << "];" << std::endl;
// Write 'udd_cpp'
myFile << "udd_cpp = zeros(" << numFloors << "," << numTimeSteps << ");\n"
<< "udd_cpp = [";
for (unsigned int i = 0; i < numFloors; ++i) {
for (unsigned int j = 0; j < numTimeSteps; ++j) {
udd.getPositionValues(j,auxVec);
myFile << auxVec[i] << " ";
}
myFile << std::endl;
}
myFile << "];" << std::endl;
// Write 'resfor_cpp'
myFile << "resfor_cpp = zeros(" << numFloors << "," << numTimeSteps << ");\n"
<< "resfor_cpp = [";
for (unsigned int i = 0; i < numFloors; ++i) {
for (unsigned int j = 0; j < numTimeSteps; ++j) {
resfor.getPositionValues(j,auxVec);
myFile << auxVec[i] << " ";
}
myFile << std::endl;
}
myFile << "];" << std::endl;
// Write 'ru_cpp'
myFile << "ru_cpp = zeros(" << numFloors << "," << numTimeSteps << ");\n"
<< "ru_cpp = [";
for (unsigned int i = 0; i < numFloors; ++i) {
for (unsigned int j = 0; j < numTimeSteps; ++j) {
ru.getPositionValues(j,auxVec);
myFile << auxVec[i] << " ";
}
myFile << std::endl;
}
myFile << "];" << std::endl;
myFile.close();
return;
}