int main(int argc, char *argv[])
{
int n = 100;
double alpha = 0.0;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 20;
int ierr = 0;
alpha = alpha / scale;
try {
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Parameter", "alpha");
stepperList.set("Initial Value", alpha);
stepperList.set("Max Value", 5.0/scale);
stepperList.set("Min Value", 0.0/scale);
stepperList.set("Max Steps", 50);
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Initial Step Size", 0.1/scale);
stepSizeList.set("Min Step Size", 1.0e-3/scale);
stepSizeList.set("Max Step Size", 10.0/scale);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> normF =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxIters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Generic> comboOR =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
normF,
maxIters));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, comboOR, paramList);
// Perform continuation run
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
// Check for convergence
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::LAPACK::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::LAPACK::Group>(stepper.getSolutionGroup());
const NOX::LAPACK::Vector& finalSolution =
dynamic_cast<const NOX::LAPACK::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 32;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
"number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double alpha_final = finalGroup->getParam("alpha");
double alpha_expected = 5.0;
ierr += testCompare.testValue(alpha_final, alpha_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check norm of solution
double norm_x = finalSolution.norm();
double norm_x_expected = 203.1991024;
ierr += testCompare.testValue(norm_x, norm_x_expected, 1.0e-7,
"norm of final solution",
NOX::TestCompare::Relative);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
cout << e.what() << endl;
ierr = 1;
}
catch (const char *s) {
cout << s << endl;
ierr = 1;
}
catch (...) {
cout << "Caught unknown exception!" << endl;
ierr = 1;
}
if (ierr == 0)
cout << "All tests passed!" << endl;
else
cout << ierr << " test(s) failed!" << endl;
return ierr;
}
int main()
{
double pi = 4.0*atan(1.0);
int n = 100;
double alpha = 0.25;
double D1 = 1.0/40.0;
double D2 = 1.0/40.0;
double beta = 2.0*pi*pi*D1 + 1.0 + alpha*alpha;
int maxNewtonIters = 10;
try {
// Create output file to save solutions
ofstream outFile("BrusselatorHopfContinuation.dat");
outFile.setf(ios::scientific, ios::floatfield);
outFile.precision(14);
// Save size of discretizations
outFile << n << endl;
// Create initial guess for the real and imaginary eigenvectors
NOX::LAPACK::Vector y(2*n), z(2*n);
double h = 1.0 / double(n-1);
double lambda_real = (beta - 1.0 - alpha*alpha)/2.0;
double lambda_imag = sqrt(alpha*alpha - lambda_real*lambda_real);
double v1_real = -alpha*alpha;
double v1_imag = 0.0;
double v2_real = beta - 1.0 - lambda_real;
double v2_imag = -lambda_imag;
double x;
for (int i=0; i<n; i++) {
x = sin(pi*h*i);
y(i) = v1_real*x;
z(i) = v1_imag*x;
y(i+n) = v2_real*x;
z(i+n) = v2_imag*x;
}
// Initial guess for frequency (valid for |alpha| > (pi^2)*|D1|)
double w = lambda_imag;
// Create length scaling vector (phi)
NOX::LAPACK::Vector phi(2*n);
phi.init(1.0);
Teuchos::RCP<NOX::Abstract::Vector> y_vec =
Teuchos::rcp(&y,false);
Teuchos::RCP<NOX::Abstract::Vector> z_vec =
Teuchos::rcp(&z,false);
Teuchos::RCP<NOX::Abstract::Vector> phi_vec =
Teuchos::rcp(&phi,false);
// Create initial values for a and b for minimally augmented method
Teuchos::RCP<NOX::Abstract::Vector> a_vec_real =
Teuchos::rcp(new NOX::LAPACK::Vector(2*n));
Teuchos::RCP<NOX::Abstract::Vector> a_vec_imag =
Teuchos::rcp(new NOX::LAPACK::Vector(2*n));
Teuchos::RCP<NOX::Abstract::Vector> b_vec_real =
Teuchos::rcp(new NOX::LAPACK::Vector(2*n));
Teuchos::RCP<NOX::Abstract::Vector> b_vec_imag =
Teuchos::rcp(new NOX::LAPACK::Vector(2*n));
*a_vec_real = *y_vec;
*a_vec_imag = *z_vec;
*b_vec_real = *y_vec;
*b_vec_imag = *z_vec;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Method", "Arc Length"); // Default
//stepperList.set("Continuation Method", "Natural"); // Default
stepperList.set("Continuation Parameter", "alpha");
stepperList.set("Initial Value", alpha);
stepperList.set("Max Value", 1.0);
stepperList.set("Min Value", 0.24);
stepperList.set("Max Steps", 100);
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Hopf");
bifurcationList.set("Bifurcation Parameter", "beta"); // Must set
bifurcationList.set("Initial Frequency", w); // Must set
// // For Moore-Spence Formulation
// bifurcationList.set("Formulation", "Moore-Spence"); // Default
// bifurcationList.set("Solver Method", "Salinger Bordering"); // Default
// bifurcationList.set("Length Normalization Vector", phi_vec); // Must set
// bifurcationList.set("Initial Real Eigenvector", y_vec); // Must set
// bifurcationList.set("Initial Imaginary Eigenvector", z_vec); // Must set
// For minimally augmented formulation
bifurcationList.set("Formulation", "Minimally Augmented");
bifurcationList.set("Initial Real A Vector", a_vec_real); // Must set
bifurcationList.set("Initial Imaginary A Vector", a_vec_imag); // Must set
bifurcationList.set("Initial Real B Vector", b_vec_real); // Must set
bifurcationList.set("Initial Imaginary B Vector", b_vec_imag); // Must set
bifurcationList.set("Update Null Vectors Every Continuation Step", true);
// For minimally augmented method, should set these for good performance
// Direct solve of bordered equations
bifurcationList.set("Bordered Solver Method", "LAPACK Direct Solve");
// Combine arc-length and turning point bordered rows & columns
stepperList.set("Bordered Solver Method", "Nested");
Teuchos::ParameterList& nestedList =
stepperList.sublist("Nested Bordered Solver");
// Direct solve of combined bordered system
nestedList.set("Bordered Solver Method", "LAPACK Direct Solve");
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
// // Should use w/Secant predictor & Moore-Spence formulation
// Teuchos::ParameterList& firstStepPredictor
// = predictorList.sublist("First Step Predictor");
// firstStepPredictor.set("Method", "Random");
// firstStepPredictor.set("Epsilon", 1.0e-3);
// // Should use w/Secant predictor & Moore-Spence fomulation
// Teuchos::ParameterList& lastStepPredictor
// = predictorList.sublist("Last Step Predictor");
// lastStepPredictor.set("Method", "Random");
// lastStepPredictor.set("Epsilon", 1.0e-3);
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.02);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 0.1);
stepSizeList.set("Aggressiveness", 0.5);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("Output Precision", 3);
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create the "Line Search" sublist for the "Line Search Based" solver
Teuchos::ParameterList& searchParams = nlParams.sublist("Line Search");
searchParams.set("Method", "Full Step");
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
BrusselatorProblemInterface brus(globalData, n, alpha, beta, D1, D2,
outFile);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("D1",D1);
p.addParameter("D2",D2);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::LAPACK::Group> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, brus));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> statusTestA =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-10,
NOX::StatusTest::NormF::Scaled));
Teuchos::RCP<NOX::StatusTest::MaxIters> statusTestB =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
statusTestA, statusTestB));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
// Solve the nonlinear system
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
cout << "All examples passed" << endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
outFile.close();
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
cout << e.what() << endl;
}
catch (const char *s) {
cout << s << endl;
}
catch (...) {
cout << "Caught unknown exception!" << endl;
}
return 0;
}
int main( int argc, char **argv )
{
// check for parallel computation
#ifdef HAVE_MPI
MPI_Init(&argc, &argv);
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
Epetra_SerialComm Comm;
#endif
// define main parameters
double c = 0.25; // continuation parameter
int N = 50; // number of grid points
int maxNewtonIters = 20; // max number of Newton iterations
int maxSteps = 75; // max number of continuation steps taken
// Set flag for whether the computations will be Matrix-free (true) or will use a computed
// Jacobian (false)
bool doMatFree = false;
// Create output file to save solutions
ofstream outFile("Heq4.dat");
outFile.setf(ios::scientific, ios::floatfield);
outFile.precision(10);
// Define the problem class
HeqProblem Problem(N,&Comm,outFile);
// Create the initial guess vector and set it to all ones
Epetra_Vector InitialGuess(Problem.GetMap());
InitialGuess.PutScalar(1.0);
// Create the top level parameter list
Teuchos::RCP<Teuchos::ParameterList> ParamList = Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = ParamList->sublist("LOCA");
// Create the sublist for continuation and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Method", "Arc Length");// Default
// stepperList.set("Continuation Method", "Natural");
stepperList.set("Continuation Parameter", "c"); // Must set
stepperList.set("Initial Value", c); // Must set
stepperList.set("Max Value", 100.0); // Must set
stepperList.set("Min Value", 0.0); // Must set
stepperList.set("Max Steps", maxSteps); // Should set
stepperList.set("Max Nonlinear Iterations", maxNewtonIters); // Should set
// Set up parameters to compute Eigenvalues
#ifdef HAVE_LOCA_ANASAZI
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
stepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& aList = stepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
aList.set("Block Size", 1); // Size of blocks
aList.set("Num Blocks", 20); // Size of Arnoldi factorization
aList.set("Num Eigenvalues", 5); // Number of eigenvalues
// aList.set("Sorting Order", "SR");
aList.set("Convergence Tolerance", 2.0e-7); // Tolerance
aList.set("Step Size", 1); // How often to check convergence
aList.set("Maximum Restarts",2); // Maximum number of restarts
aList.set("Verbosity",
Anasazi::Errors +
Anasazi::Warnings +
Anasazi::FinalSummary); // Verbosity
#else
stepperList.set("Compute Eigenvalues",false);
#endif
stepperList.set("Bordered Solver Method", "Householder");
// stepperList.set("Bordered Solver Method", "Bordering");
// Teuchos::ParameterList& nestedList =
// stepperList.sublist("Nested Bordered Solver");
// nestedList.set("Bordered Solver Method", "Householder");
// nestedList.set("Include UV In Preconditioner", true);
// //nestedList.set("Use P For Preconditioner", true);
// nestedList.set("Preconditioner Method", "SMW");
// Create bifurcation sublist -- use if not doing turning point
Teuchos::ParameterList& bifurcationList = locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "None"); // Default
// Create predictor sublist
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
// predictorList.set("Method", "Constant"); // Other options
// predictorList.set("Method", "Tangent"); // Other options
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.1); // Should set
stepSizeList.set("Min Step Size", 1.0e-4); // Should set
stepSizeList.set("Max Step Size", 1.0); // Should set
stepSizeList.set("Aggressiveness", 0.1);
// Set up NOX info
Teuchos::ParameterList& nlParams = ParamList->sublist("NOX");
// Set the nonlinear solver method
nlParams.set("Nonlinear Solver", "Line Search Based");
// Set the printing parameters in the "Printing" sublist
Teuchos::ParameterList& printParams = nlParams.sublist("Printing");
printParams.set("MyPID", Comm.MyPID());
printParams.set("Output Precision", 5);
printParams.set("Output Processor", 0);
printParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::LinearSolverDetails +
NOX::Utils::Parameters +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// NOX parameters - Sublist for line search
Teuchos::ParameterList& searchParams = nlParams.sublist("Line Search");
searchParams.set("Method", "Full Step");
// searchParams.set("Method", "Backtrack");
// Sublist for direction
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
dirParams.set("Method", "Newton");
Teuchos::ParameterList& newtonParams = dirParams.sublist("Newton");
newtonParams.set("Forcing Term Method", "Constant");
// Sublist for linear solver for the Newton method
Teuchos::ParameterList& lsParams = newtonParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 800);
lsParams.set("Tolerance", 1e-8);
lsParams.set("Output Frequency", 1);
lsParams.set("Preconditioner", "None");
// lsParams.set("Preconditioner", "AztecOO");
// lsParams.set("Aztec Preconditioner", "ilu");
// lsParams.set("Preconditioner", "Ifpack");
// lsParams.set("Ifpack Preconditioner", "ILU");
// lsParams.set("Preconditioner", "New Ifpack");
// Teuchos::ParameterList& ifpackParams = lsParams.sublist("Ifpack");
// ifpackParams.set("fact: level-of-fill", 1);
// set up the continuation parameter vector
LOCA::ParameterVector p;
p.addParameter("c",c);
// Set up the problem interface
Teuchos::RCP<SimpleProblemInterface> interface =
Teuchos::rcp(new SimpleProblemInterface(&Problem,c) );
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
// Create the operator to hold either the Jacobian matrix or the Matrix-free operator
Teuchos::RCP<Epetra_Operator> A;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac;
// Need a NOX::Epetra::Vector for constructor
// This becomes the initial guess vector that is used for the nonlinear solves
NOX::Epetra::Vector noxInitGuess(InitialGuess, NOX::DeepCopy);
if (doMatFree) {
// Matrix Free application (Epetra Operator):
Teuchos::RCP<NOX::Epetra::MatrixFree> MF =
Teuchos::rcp(new NOX::Epetra::MatrixFree(printParams, interface, noxInitGuess));
A = MF;
iJac = MF;
}
else { // Computed Jacobian application
A = Teuchos::rcp( Problem.GetMatrix(), false );
iJac = interface;
}
// Build the linear system solver
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq,
iJac, A,
noxInitGuess));
// Create the Loca (continuation) vector
NOX::Epetra::Vector locaSoln(noxInitGuess);
// Create Epetra Factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory = Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData = LOCA::createGlobalData(ParamList, epetraFactory);
// Create the Group - must be LOCA group
Teuchos::RCP<LOCA::Epetra::Group> grpPtr =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
iReq, locaSoln,
linSys, p));
// Calculate the first F(x0) as a starting point. This is only needed for
// certain status tests, to ensure that an initial residual (|r0|) is calculated
grpPtr->computeF();
// Set up the status tests to check for convergence
// Determines the error tolerance for the Newton solves
Teuchos::RCP<NOX::StatusTest::NormF> testNormF =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-4));
// Sets the max number of nonlinear (Newton) iterations that will be taken. If this is not
// already set, it will default to the '20' given
Teuchos::RCP<NOX::StatusTest::MaxIters> testMaxIters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(stepperList.get("Max Nonlinear Iterations", 20)));
// This combination of tests will be used by NOX to determine whether the step converged
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
testNormF, testMaxIters));
// This is sample code to write and read parameters to/from a file. Currently not activated!
// To use, change the 'XXXHAVE_TEUCHOS_EXTENDED' TO 'HAVE_TEUCHOS_EXTENDED'
#ifdef XXXHAVE_TEUCHOS_EXTENDED
// Write the parameter list to a file
cout << "Writing parameter list to \"input.xml\"" << endl;
Teuchos::writeParameterListToXmlFile(*ParamList, "input.xml");
// Read in the parameter list from a file
cout << "Reading parameter list from \"input.xml\"" << endl;
Teuchos::RCP<Teuchos::ParameterList> paramList2 =
Teuchos::rcp(new Teuchos::ParameterList);
Teuchos::updateParametersFromXmlFile("input.xml", paramList2.get());
ParamList = paramList2;
#endif
// Create the stepper
LOCA::Stepper stepper(globalData, grpPtr, combo, ParamList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
// Check if the stepper completed
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "\nAll tests passed!" << endl;
else
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out() << "\nStepper failed to converge!" << endl;
// Output the stepper parameter list info
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out() << endl << "Final Parameters" << endl
<< "*******************" << endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << endl;
}
// Make sure all processors are done and close the output file
Comm.Barrier();
outFile.close();
// Deallocate memory
LOCA::destroyGlobalData(globalData);
#ifdef HAVE_MPI
MPI_Finalize();
#endif
return(EXIT_SUCCESS);
} // DONE!!
int main(int argc, char *argv[])
{
// Initialize MPI
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
// Get the number of elements from the command line
int NumGlobalNodes = 100 + 1;
#ifdef DO_XYZT
// MPI MANIPULATION FOR XYZT PROBLEMS
int spatialProcs = 1; // default
if (argc>2) { spatialProcs = atoi(argv[2]);}
int numTimeSteps= 1; // default
if (argc>3) { numTimeSteps = atoi(argv[3]);}
Teuchos::RCP<EpetraExt::MultiMpiComm> globalComm =
Teuchos::rcp(new EpetraExt::MultiMpiComm(MPI_COMM_WORLD, spatialProcs, numTimeSteps));
Epetra_Comm& Comm = globalComm->SubDomainComm();
#else
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm();
#endif
#endif
// Create and reset the Timer
Epetra_Time myTimer(Comm);
double startWallTime = myTimer.WallTime();
// Get the process ID and the total number of processors
int MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalNodes < NumProc) {
std::cout << "numGlobalNodes = " << NumGlobalNodes
<< " cannot be < number of processors = " << NumProc << std::endl;
exit(1);
}
// Create the Brusselator problem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (F) and Jacobian evaluation routines.
Brusselator::OverlapType OType = Brusselator::ELEMENTS;
Brusselator Problem(NumGlobalNodes, Comm, OType);
double dt = 0.5;
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
Epetra_Vector& initCond = soln;
// Begin Nonlinear Solver ************************************
// Create the top level parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList = locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Method", "Natural");
//locaStepperList.set("Continuation Method", "Arc Length");
//locaStepperList.set("Continuation Method", "Householder Arc Length");
locaStepperList.set("Continuation Parameter", "alpha");
locaStepperList.set("Initial Value", 0.6);
locaStepperList.set("Max Value", 100.0);
locaStepperList.set("Min Value", 0.05);
#ifdef DO_XYZT
locaStepperList.set("Max Steps", 7);
#else
locaStepperList.set("Max Steps", 0);// must be 0 so just a nonlinear solver
#endif
locaStepperList.set("Max Nonlinear Iterations", 15);
locaStepperList.set("Enable Arc Length Scaling", true);
locaStepperList.set("Goal Arc Length Parameter Contribution", 0.5);
locaStepperList.set("Max Arc Length Parameter Contribution", 0.7);
locaStepperList.set("Initial Scale Factor", 1.0);
locaStepperList.set("Min Scale Factor", 1.0e-8);
locaStepperList.set("Enable Tangent Factor Step Size Scaling",false);
locaStepperList.set("Min Tangent Factor", 0.8);
locaStepperList.set("Tangent Factor Exponent",1.5);
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Constant");
// stepSizeList.set("Method", "Adaptive");
stepSizeList.set("Initial Step Size", -0.1);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 2000.0);
stepSizeList.set("Aggressiveness", 0.1);
stepSizeList.set("Failed Step Reduction Factor", 0.5);
stepSizeList.set("Successful Step Increase Factor", 1.00); // for constant
// Create predictor sublist
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
//predictorList.set("Method", "Constant");
//predictorList.set("Method", "Tangent");
predictorList.set("Method", "Secant");
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "None");
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
locaStepperList.set("Compute Eigenvalues",false);
#ifdef HAVE_LOCA_ANASAZI
Teuchos::ParameterList& aList = locaStepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
aList.set("Block Size", 1);
aList.set("Num Blocks", 10);
aList.set("Num Eigenvalues", 3);
aList.set("Convergence Tolerance", 2.0e-7);
aList.set("Convergence Check", 1);
aList.set("Maximum Restarts",2);
aList.set("Step Size",1);
aList.set("Verbosity",
Anasazi::Errors +
Anasazi::Warnings +
Anasazi::FinalSummary);
#endif
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Set the nonlinear solver method
nlParams.set("Nonlinear Solver", "Line Search Based");
//nlParams.set("Nonlinear Solver", "Trust Region Based");
// Set the printing parameters in the "Printing" sublist
Teuchos::ParameterList& printParams = nlParams.sublist("Printing");
printParams.set("MyPID", MyPID);
printParams.set("Output Precision", 3);
printParams.set("Output Processor", 0);
printParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Parameters +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails);
// Sublist for line search
Teuchos::ParameterList& searchParams = nlParams.sublist("Line Search");
searchParams.set("Method", "Full Step");
//searchParams.set("Method", "Interval Halving");
//searchParams.set("Method", "Polynomial");
//searchParams.set("Method", "NonlinearCG");
//searchParams.set("Method", "Quadratic");
//searchParams.set("Method", "More'-Thuente");
// Sublist for direction
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
dirParams.set("Method", "Newton");
Teuchos::ParameterList& newtonParams = dirParams.sublist("Newton");
newtonParams.set("Forcing Term Method", "Constant");
//newtonParams.set("Forcing Term Method", "Type 1");
//newtonParams.set("Forcing Term Method", "Type 2");
//newtonParams.set("Forcing Term Minimum Tolerance", 1.0e-4);
//newtonParams.set("Forcing Term Maximum Tolerance", 0.1);
//dirParams.set("Method", "Steepest Descent");
//Teuchos::ParameterList& sdParams = dirParams.sublist("Steepest Descent");
//sdParams.set("Scaling Type", "None");
//sdParams.set("Scaling Type", "2-Norm");
//sdParams.set("Scaling Type", "Quadratic Model Min");
//dirParams.set("Method", "NonlinearCG");
//Teuchos::ParameterList& nlcgParams = dirParams.sublist("Nonlinear CG");
//nlcgParams.set("Restart Frequency", 2000);
//nlcgParams.set("Precondition", "On");
//nlcgParams.set("Orthogonalize", "Polak-Ribiere");
//nlcgParams.set("Orthogonalize", "Fletcher-Reeves");
// Sublist for linear solver for the Newton method
Teuchos::ParameterList& lsParams = newtonParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 800);
lsParams.set("Tolerance", 1e-6);
lsParams.set("Output Frequency", 50);
#ifdef DO_XYZT_PREC
lsParams.set("Preconditioner", "User Defined");
#else
lsParams.set("Preconditioner", "Ifpack");
//lsParams.set("Preconditioner", "AztecOO");
//lsParams.set("Aztec Preconditioner", "ilu");
//lsParams.set("Overlap", 2);
//lsParams.set("Graph Fill", 2);
//lsParams.set("Aztec Preconditioner", "ilut");
//lsParams.set("Overlap", 2);
//lsParams.set("Fill Factor", 2);
//lsParams.set("Drop Tolerance", 1.0e-12);
//lsParams.set("Aztec Preconditioner", "Polynomial");
//lsParams.set("Polynomial Order", 6);
#endif
// Create the interface between the test problem and the nonlinear solver
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> A =
Teuchos::rcp(&Problem.getJacobian(),false);
#ifdef DO_XYZT
Epetra_MultiVector initGuess(soln.Map(), globalComm->NumTimeStepsOnDomain());
for (int i=0; i<globalComm->NumTimeStepsOnDomain(); i++) *(initGuess(i)) = soln;
#ifdef DO_XYZT_PREC
// Sublist for linear solver of the preconditioner
Teuchos::RCP<Teuchos::ParameterList> precLSParams =
Teuchos::rcp(new Teuchos::ParameterList(lsParams));
precLSParams->set("Aztec Solver", "GMRES");
precLSParams->set("Preconditioner", "Ifpack");
//precLSParams->set("Preconditioner", "AztecOO");
precLSParams->set("Max Iterations", 800);
precLSParams->set("Tolerance", 1e-6);
precLSParams->set("Output Frequency", 50);
//precLSParams->set("XYZTPreconditioner", "None");
precLSParams->set("XYZTPreconditioner", "Global");
//precLSParams->set("XYZTPreconditioner", "Sequential");
//precLSParams->set("XYZTPreconditioner", "Parallel");
//precLSParams->set("XYZTPreconditioner", "Parareal");
//precLSParams->set("XYZTPreconditioner", "BlockDiagonal");
Teuchos::RCP<Teuchos::ParameterList> precPrintParams =
Teuchos::rcp(new Teuchos::ParameterList(printParams));
precPrintParams->set("MyPID", MyPID);
precPrintParams->set("Output Precision", 3);
precPrintParams->set("Output Processor", 0);
precPrintParams->set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Parameters +
NOX::Utils::Details +
NOX::Utils::Warning);
Teuchos::RCP<LOCA::Epetra::Interface::xyzt> ixyzt =
Teuchos::rcp(new LOCA::Epetra::Interface::xyzt(interface,
initGuess, A,
globalComm,
initCond, dt,
precPrintParams.get(), precLSParams.get()));
Teuchos::RCP<Epetra_RowMatrix> Axyzt =
Teuchos::rcp(&(ixyzt->getJacobian()),false);
Epetra_Vector& solnxyzt = ixyzt->getSolution();
Teuchos::RCP<Epetra_Operator> Mxyzt =
Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = ixyzt;
// Create the Linear System
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = ixyzt;
Teuchos::RCP<NOX::Epetra::Interface::Preconditioner> iPrec =
Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iJac, Axyzt, iPrec, Mxyzt,
solnxyzt));
#else
Teuchos::RCP<LOCA::Epetra::Interface::xyzt> ixyzt =
Teuchos::rcp(new LOCA::Epetra::Interface::xyzt(interface,
initGuess, A,
initCond, dt,
globalComm));
Teuchos::RCP<Epetra_RowMatrix> Axyzt =
Teuchos::rcp(&(ixyzt->getJacobian()),false);
Epetra_Vector& solnxyzt = ixyzt->getSolution();
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = ixyzt;
// Create the Linear System
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = ixyzt;
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq, iJac, Axyzt,
solnxyzt));
#endif
NOX::Epetra::Vector initialGuess(solnxyzt);
#else
// Use an Epetra Scaling object if desired
Teuchos::RCP<Epetra_Vector> scaleVec =
Teuchos::rcp(new Epetra_Vector(soln));
NOX::Epetra::Scaling scaling;
scaling.addRowSumScaling(NOX::Epetra::Scaling::Left, scaleVec);
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
// Create the Linear System
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq, iJac, A, soln));
//&scaling);
// Create the Group
NOX::Epetra::Vector initialGuess(Teuchos::rcp(&soln,false),
NOX::Epetra::Vector::CreateView,
NOX::DeepCopy);
#endif
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("alpha",0.6);
pVector.addParameter("beta",2.0);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
iReq, initialGuess, linSys, pVector));
grp->computeF();
// Create the convergence tests
Teuchos::RCP<NOX::StatusTest::NormF> absresid =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8,
NOX::StatusTest::NormF::Unscaled));
//NOX::StatusTest::NormF relresid(*grp.get(), 1.0e-2);
//NOX::StatusTest::NormUpdate update(1.0e-5);
//NOX::StatusTest::NormWRMS wrms(1.0e-2, 1.0e-8);
//NOX::StatusTest::Combo converged(NOX::StatusTest::Combo::AND);
//converged.addStatusTest(absresid);
//converged.addStatusTest(relresid);
//converged.addStatusTest(wrms);
//converged.addStatusTest(update);
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(50));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(absresid);
combo->addStatusTest(maxiters);
// Create the method
//NOX::Solver::Manager solver(grp, combo, nlParams);
LOCA::Stepper stepper(globalData, grp, combo, paramList);
// Initialize time integration parameters
#ifdef DO_XYZT
int maxTimeSteps = 1; // No longer need a time integration loop
#else
int maxTimeSteps = 2;
#endif
int timeStep = 0;
double time = 0.;
// Time integration loop
while(timeStep < maxTimeSteps) {
timeStep++;
time += dt;
globalData->locaUtils->out()
<< "Time Step: " << timeStep << ",\tTime: " << time << std::endl;
// NOX::StatusTest::StatusType status = solver.solve();
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "All tests passed" << std::endl;
else
globalData->locaUtils->out() << "Stepper failed to converge!" << std::endl;
// Get the Epetra_Vector with the final solution from the solver
const LOCA::Epetra::Group& finalGroup =
dynamic_cast<const LOCA::Epetra::Group&>(*(stepper.getSolutionGroup()));
const Epetra_Vector& finalSolution =
(dynamic_cast<const NOX::Epetra::Vector&>(finalGroup.getX())).getEpetraVector();
// End Nonlinear Solver **************************************
#ifndef DO_XYZT
//Problem.reset(finalSolution);
grp->setX(finalSolution);
stepper.reset(globalData, grp, combo, paramList);
grp->computeF();
#endif
} // end time step while loop
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::Parameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Output timing info
globalData->locaUtils->out() << "\nTimings :\n\tWallTime --> " <<
myTimer.WallTime() - startWallTime << " sec."
<< "\n\tElapsedTime --> " << myTimer.ElapsedTime()
<< " sec." << std::endl << std::endl;
LOCA::destroyGlobalData(globalData);
return 0 ;
}
int main(int argc, char *argv[])
{
int n = 100;
double alpha = 10.0;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 20;
int ierr = 0;
alpha = alpha / scale;
try {
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::LAPACK::Group> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
grp->computeF();
double size = sqrt(static_cast<double>(grp->getX().length()));
double normF_0 = grp->getNormF() / size;
double tolerance = 1.0e-8 / normF_0 / normF_0;
Teuchos::RCP<NOX::StatusTest::NormF> statusTestA =
Teuchos::rcp(new NOX::StatusTest::NormF(*grp, tolerance));
Teuchos::RCP<NOX::StatusTest::MaxIters> statusTestB =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
statusTestA, statusTestB));
// Create the homotopy group
Teuchos::RCP<LOCA::Homotopy::Group> hGrp =
Teuchos::rcp(new LOCA::Homotopy::Group(locaParamsList, globalData, grp));
// Override default parameters
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
// Create the stepper
LOCA::Stepper stepper(globalData, hGrp, combo, paramList);
// Solve the nonlinear system
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out() << "Stepper failed to converge!"
<< std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::LAPACK::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::LAPACK::Group>(stepper.getSolutionGroup());
const NOX::LAPACK::Vector& finalSolution =
dynamic_cast<const NOX::LAPACK::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::Utils utils(nlPrintParams);
NOX::TestCompare testCompare(cout, utils);
if (utils.isPrintType(NOX::Utils::TestDetails))
cout << endl << "***** Checking solutions statistics *****" << endl;
// Check number of steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 14;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 3;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected,
0.0, "number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double alpha_final =
finalGroup->getParam("Homotopy Continuation Parameter");
double alpha_expected = 1.0;
ierr += testCompare.testValue(alpha_final, alpha_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check norm of solution
double norm_x = finalSolution.norm();
double norm_x_expected = 456.0303417;
ierr += testCompare.testValue(norm_x, norm_x_expected, 1.0e-7,
"norm of final solution",
NOX::TestCompare::Relative);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
return 0;
}
int testTransposeSolve(
int NumGlobalElements,
int nRHS,
double reltol,
double abstol,
Epetra_Comm& Comm,
const Teuchos::RCP<LOCA::GlobalData>& globalData,
const Teuchos::RCP<Teuchos::ParameterList>& paramList)
{
int ierr = 0;
double left_bc = 0.0;
double right_bc = 1.0;
double nonlinear_factor = 1.0;
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
Tcubed_FiniteElementProblem Problem(NumGlobalElements, Comm);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(0.0);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",nonlinear_factor);
pVector.addParameter("Left BC", left_bc);
pVector.addParameter("Right BC", right_bc);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base
// class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Get sublists
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams,
lsParams, iReq, iJac,
Amat, soln));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp_tp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln,
linsys, pVector));
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp_lp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln,
linsys, pVector));
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp_ep =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln,
linsys, pVector));
// Change initial guess to a random vector
Teuchos::RCP<NOX::Abstract::Vector> xnew =
grp_tp->getX().clone();
xnew->random();
grp_tp->setX(*xnew);
grp_lp->setX(*xnew);
grp_ep->setX(*xnew);
// Check some statistics on the solution
Teuchos::RCP<NOX::TestCompare> testCompare =
Teuchos::rcp(new NOX::TestCompare(globalData->locaUtils->out(),
*(globalData->locaUtils)));
// Evaluate blocks
grp_tp->computeF();
grp_lp->computeF();
grp_ep->computeF();
grp_tp->computeJacobian();
grp_lp->computeJacobian();
grp_ep->computeJacobian();
// Set up left- and right-hand sides
Teuchos::RCP<NOX::Abstract::MultiVector> F =
grp_tp->getX().createMultiVector(nRHS);
F->random();
Teuchos::RCP<NOX::Abstract::MultiVector> X_tp =
F->clone(NOX::ShapeCopy);
X_tp->init(0.0);
Teuchos::RCP<NOX::Abstract::MultiVector> X_lp =
F->clone(NOX::ShapeCopy);
X_lp->init(0.0);
Teuchos::RCP<NOX::Abstract::MultiVector> X_ep =
F->clone(NOX::ShapeCopy);
X_ep->init(0.0);
// Set up residuals
Teuchos::RCP<NOX::Abstract::MultiVector> R_tp =
F->clone(NOX::ShapeCopy);
Teuchos::RCP<NOX::Abstract::MultiVector> R_lp =
F->clone(NOX::ShapeCopy);
Teuchos::RCP<NOX::Abstract::MultiVector> R_ep =
F->clone(NOX::ShapeCopy);
// Set up linear solver lists
Teuchos::ParameterList lsParams_tp = lsParams;
Teuchos::ParameterList lsParams_lp = lsParams;
Teuchos::ParameterList lsParams_ep = lsParams;
lsParams_tp.set("Transpose Solver Method",
"Transpose Preconditioner");
lsParams_lp.set("Transpose Solver Method",
"Left Preconditioning");
lsParams_ep.set("Transpose Solver Method",
"Explicit Transpose");
NOX::Abstract::Group::ReturnType status;
// Test transpose solve with transposed preconditioner
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out() << std::endl <<
"\t***** " <<
"Testing Transposed Preconditioner Residual" <<
" *****" << std::endl;
status = grp_tp->applyJacobianTransposeInverseMultiVector(lsParams_tp, *F,
*X_tp);
if (status == NOX::Abstract::Group::Failed)
++ierr;
status = grp_tp->applyJacobianTransposeMultiVector(*X_tp, *R_tp);
ierr += testCompare->testMultiVector(*R_tp, *F, reltol, abstol,
"Residual");
// Test transpose solve with transposed left-preconditioner
if (lsParams.get("Preconditioner", "None") != "None") {
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out() << std::endl <<
"\t***** " <<
"Testing Transposed Left Preconditioner Residual" <<
" *****" << std::endl;
status = grp_lp->applyJacobianTransposeInverseMultiVector(lsParams_lp, *F,
*X_lp);
if (status == NOX::Abstract::Group::Failed)
++ierr;
status = grp_lp->applyJacobianTransposeMultiVector(*X_lp, *R_lp);
ierr += testCompare->testMultiVector(*R_lp, *F, reltol, abstol,
"Residual");
}
#ifdef HAVE_NOX_EPETRAEXT
// Test transpose solve with explicit preconditioner
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out() << std::endl <<
"\t***** " <<
"Testing Explicit Preconditioner Residual" <<
" *****" << std::endl;
status = grp_ep->applyJacobianTransposeInverseMultiVector(lsParams_ep, *F,
*X_ep);
if (status == NOX::Abstract::Group::Failed)
++ierr;
status = grp_ep->applyJacobianTransposeMultiVector(*X_ep, *R_ep);
ierr += testCompare->testMultiVector(*R_ep, *F, reltol, abstol,
"Residual");
#endif
// Compare solutions
if (lsParams.get("Preconditioner", "None") != "None") {
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out() << std::endl <<
"\t***** " <<
"Comparing Transposed Preconditioner and Left Preconditioner Solutions"
<<
" *****" << std::endl;
ierr += testCompare->testMultiVector(*X_lp, *X_tp,
reltol, abstol, "Solution");
}
#ifdef HAVE_NOX_EPETRAEXT
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out() << std::endl <<
"\t***** " <<
"Comparing Transposed Preconditioner and Explicit Preconditioner Solutions"
<<
" *****" << std::endl;
ierr += testCompare->testMultiVector(*X_ep, *X_tp,
reltol, abstol, "Solution");
#endif
return ierr;
}
int tcubed_test(int NumGlobalElements, bool verbose, Epetra_Comm& Comm,
bool includeUV, bool useP, const std::string& prec,
const std::string& prec_method)
{
int ierr = 0;
int MyPID = Comm.MyPID();
if (MyPID == 0) {
std::cout << "********** "
<< "Testing includeUV = " << includeUV << " useP = " << useP
<< " Preconditioner = " << prec
<< " Preconditioner method = " << prec_method
<< " **********" << std::endl;
}
try {
double nonlinear_factor = 1.0;
double left_bc = 0.0;
double right_bc = 2.07;
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
Tcubed_FiniteElementProblem Problem(NumGlobalElements, Comm);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(1.0);
// Create initial guess for the null vector of jacobian
// Only needed for Moore-Spence
Teuchos::RCP<NOX::Abstract::Vector> nullVec =
Teuchos::rcp(new NOX::Epetra::Vector(soln));
nullVec->init(1.0); // initial value 1.0
// Begin LOCA Solver ************************************
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList =
locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Method", "Arc Length");
locaStepperList.set("Continuation Parameter", "Nonlinear Factor");
locaStepperList.set("Initial Value", nonlinear_factor);
locaStepperList.set("Max Value", 2.0);
locaStepperList.set("Min Value", 0.05);
locaStepperList.set("Max Steps", 20);
locaStepperList.set("Max Nonlinear Iterations", 15);
locaStepperList.set("Bordered Solver Method", "Nested");
Teuchos::ParameterList& nestedList =
locaStepperList.sublist("Nested Bordered Solver");
nestedList.set("Bordered Solver Method", "Householder");
nestedList.set("Include UV In Preconditioner", includeUV);
nestedList.set("Use P For Preconditioner", useP);
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Turning Point");
bifurcationList.set("Bifurcation Parameter", "Right BC");
bifurcationList.set("Formulation", "Minimally Augmented");
bifurcationList.set("Symmetric Jacobian", false);
bifurcationList.set("Update Null Vectors Every Continuation Step", true);
bifurcationList.set("Update Null Vectors Every Nonlinear Iteration",
false);
bifurcationList.set("Transpose Solver Method",prec);
bifurcationList.set("Multiply Null Vectors by Mass Matrix", true);
// The others don't seem to work with "Solve df/dp"
if (prec == "Explicit Transpose")
bifurcationList.set("Initial Null Vector Computation", "Solve df/dp");
else {
bifurcationList.set("Initial A Vector", nullVec);
bifurcationList.set("Initial B Vector", nullVec);
}
bifurcationList.set("Bordered Solver Method", "Householder");
bifurcationList.set("Include UV In Preconditioner", includeUV);
bifurcationList.set("Use P For Preconditioner", useP);
bifurcationList.set("Preconditioner Method", prec_method);
//bifurcationList.set("Formulation", "Moore-Spence");
//bifurcationList.set("Solver Method", "Phipps Bordering");
//bifurcationList.set("Solver Method", "Salinger Bordering");
//bifurcationList.set("Initial Null Vector", nullVec);
//bifurcationList.set("Length Normalization Vector", nullVec);
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive");
stepSizeList.set("Initial Step Size", 0.1);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 2000.0);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Create the NOX printing parameter list
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
nlPrintParams.set("Output Precision", 4);
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::LinearSolverDetails +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::Error +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create the "Linear Solver" sublist for Newton's method
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 200);
lsParams.set("Tolerance", 1e-6);
lsParams.set("Output Frequency", 50);
//lsParams.set("Scaling", "None");
//lsParams.set("Scaling", "Row Sum");
lsParams.set("Compute Scaling Manually", false);
//lsParams.set("Preconditioner", "Ifpack");
lsParams.set("Preconditioner", "New Ifpack");
lsParams.set("Ifpack Preconditioner", "ILU");
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",nonlinear_factor);
pVector.addParameter("Left BC", left_bc);
pVector.addParameter("Right BC", right_bc);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base class
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::TimeDependent> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create scaling object
Teuchos::RCP<NOX::Epetra::Scaling> scaling = Teuchos::null;
// scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> scalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// //scaling->addRowSumScaling(NOX::Epetra::Scaling::Left, scalingVector);
// scaling->addColSumScaling(NOX::Epetra::Scaling::Right, scalingVector);
// Create transpose scaling object
// Teuchos::RCP<NOX::Epetra::Scaling> trans_scaling = Teuchos::null;
// trans_scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> transScalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// trans_scaling->addRowSumScaling(NOX::Epetra::Scaling::Right,
// transScalingVector);
// trans_scaling->addColSumScaling(NOX::Epetra::Scaling::Left,
// transScalingVector);
// //bifurcationList.set("Transpose Scaling", trans_scaling);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams,
lsParams,
iReq, iJac, Amat, soln,
scaling));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams, iReq,
locaSoln, linsys, linsys,
pVector));
grp->computeF();
// Create the Solver convergence test
//NOX::StatusTest::NormWRMS wrms(1.0e-2, 1.0e-8);
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-12));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(locaStepperList.get("Max Nonlinear Iterations", 10)));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::Epetra::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::Epetra::Group>(stepper.getSolutionGroup());
const NOX::Epetra::Vector& finalSolution =
dynamic_cast<const NOX::Epetra::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 7;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
"number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double factor_final = finalGroup->getParam("Nonlinear Factor");
double factor_expected = 2.0;
ierr += testCompare.testValue(factor_final, factor_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check final value of bifurcation parameter
double right_bc_final = finalGroup->getParam("Right BC");
double right_bc_expected = 1.47241293;
ierr += testCompare.testValue(right_bc_final, right_bc_expected, 1.0e-7,
"final value of bifurcation parameter",
NOX::TestCompare::Relative);
// Check norm of solution
double norm_x = finalSolution.norm();
double norm_x_expected = 12.038464;
ierr += testCompare.testValue(norm_x, norm_x_expected, 1.0e-7,
"norm of final solution",
NOX::TestCompare::Relative);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
return ierr ;
}
int main(int argc, char *argv[])
{
Teuchos::GlobalMPISession mpi_session(&argc, &argv);
int n = 100;
double alpha = 0.0;
double beta = 0.0;
double scale = 1.0;
int ierr = 0;
int nev = 10;
int narn = 20;
double arntol = 1.0e-12;
alpha = alpha / scale;
try {
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
Teuchos::ParameterList& aList = stepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
aList.set("Operator", "Jacobian Inverse");
aList.set("Block Size", 1);
aList.set("Num Blocks", narn);
aList.set("Num Eigenvalues", nev);
aList.set("Convergence Tolerance", arntol);
aList.set("Step Size", 1);
aList.set("Maximum Restarts",2);
aList.set("Sorting Order","LM");
if (verbose)
aList.set("Debug Level",
Anasazi::Errors +
Anasazi::Warnings +
Anasazi::FinalSummary);
else
aList.set("Debug Level", Anasazi::Errors);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create LAPACK factory
Teuchos::RCP<LOCA::Abstract::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Create parsed parameter list
Teuchos::RCP<LOCA::Parameter::SublistParser> parsedParams =
Teuchos::rcp(new LOCA::Parameter::SublistParser(globalData));
parsedParams->parseSublists(paramList);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
LOCA::LAPACK::Group grp(globalData, chan);
grp.setParams(p);
grp.computeF();
grp.computeJacobian();
// Create Anasazi eigensolver
Teuchos::RCP<LOCA::Eigensolver::AbstractStrategy> anasaziStrategy
= globalData->locaFactory->createEigensolverStrategy(
parsedParams,
parsedParams->getSublist("Eigensolver"));
Teuchos::RCP< std::vector<double> > anasazi_evals_r;
Teuchos::RCP< std::vector<double> > anasazi_evals_i;
Teuchos::RCP< NOX::Abstract::MultiVector > anasazi_evecs_r;
Teuchos::RCP< NOX::Abstract::MultiVector > anasazi_evecs_i;
NOX::Abstract::Group::ReturnType anasaziStatus =
anasaziStrategy->computeEigenvalues(grp,
anasazi_evals_r,
anasazi_evals_i,
anasazi_evecs_r,
anasazi_evecs_i);
if (anasaziStatus != NOX::Abstract::Group::Ok)
++ierr;
// Change strategy to DGGEV
aList.set("Method", "DGGEV");
aList.set("Sorting Order","SM");
// Create DGGEV eigensolver
Teuchos::RCP<LOCA::Eigensolver::AbstractStrategy> dggevStrategy
= globalData->locaFactory->createEigensolverStrategy(
parsedParams,
parsedParams->getSublist("Eigensolver"));
Teuchos::RCP< std::vector<double> > dggev_evals_r;
Teuchos::RCP< std::vector<double> > dggev_evals_i;
Teuchos::RCP< NOX::Abstract::MultiVector > dggev_evecs_r;
Teuchos::RCP< NOX::Abstract::MultiVector > dggev_evecs_i;
NOX::Abstract::Group::ReturnType dggevStatus =
dggevStrategy->computeEigenvalues(grp,
dggev_evals_r,
dggev_evals_i,
dggev_evecs_r,
dggev_evecs_i);
if (dggevStatus != NOX::Abstract::Group::Ok)
++ierr;
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check eigenvalues
for (int i=0; i<nev; i++) {
std::stringstream sstr;
sstr << "Eigenvalue " << i;
ierr += testCompare.testValue((*anasazi_evals_r)[i],
(*dggev_evals_r)[i], arntol*1e3,
sstr.str(),
NOX::TestCompare::Relative);
}
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
return ierr;
}
int main(int argc, char *argv[])
{
int n = 10;
int ierr = 0;
double reltol = 1.0e-14;
double abstol = 1.0e-14;
int MyPID = 0;
try {
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
MyPID = Comm.MyPID();
// Create the map
Epetra_Map map(n, 0, Comm);
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Seed the random number generator in Teuchos. We create random
// bordering matrices and it is possible different processors might generate
// different matrices. By setting the seed, this shouldn't happen.
Teuchos::ScalarTraits<double>::seedrandom(12345);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Param 1", 1.69);
pVector.addParameter("Param 2", -9.7);
pVector.addParameter("Param 3", 0.35);
pVector.addParameter("Param 4", -0.78);
pVector.addParameter("Param 5", 2.53);
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList);
Epetra_Vector clone_vec(map);
NOX::Epetra::Vector nox_clone_vec(clone_vec);
Teuchos::RCP<NOX::Abstract::Vector> x =
nox_clone_vec.clone(NOX::ShapeCopy);
x->random();
Teuchos::RCP<NOX::Abstract::MultiVector> dx1 =
nox_clone_vec.createMultiVector(3);
Teuchos::RCP<NOX::Abstract::MultiVector> dx2 =
nox_clone_vec.createMultiVector(1);
Teuchos::RCP<NOX::Abstract::MultiVector> dx3 =
nox_clone_vec.createMultiVector(2);
Teuchos::RCP<NOX::Abstract::MultiVector> dx4 =
nox_clone_vec.createMultiVector(2);
dx1->random();
dx2->random();
dx3->init(0.0);
dx4->random();
Teuchos::RCP<NOX::Abstract::MultiVector> dx_all =
dx1->clone(NOX::DeepCopy);
dx_all->augment(*dx2);
dx_all->augment(*dx3);
dx_all->augment(*dx4);
NOX::Abstract::MultiVector::DenseMatrix dp1(dx1->numVectors(),
pVector.length());
NOX::Abstract::MultiVector::DenseMatrix dp2(dx2->numVectors(),
pVector.length());
NOX::Abstract::MultiVector::DenseMatrix dp3(dx3->numVectors(),
pVector.length());
NOX::Abstract::MultiVector::DenseMatrix dp4(dx4->numVectors(),
pVector.length());
dp1.random();
dp2.random();
dp3.random();
dp4.random();
NOX::Abstract::MultiVector::DenseMatrix dp_all(dx_all->numVectors(),
pVector.length());
for (int j=0; j<dp_all.numCols(); j++) {
for (int i=0; i<dp1.numRows(); i++)
dp_all(i,j) = dp1(i,j);
for (int i=0; i<dp2.numRows(); i++)
dp_all(dp1.numRows()+i,j) = dp2(i,j);
for (int i=0; i<dp3.numRows(); i++)
dp_all(dp1.numRows()+dp2.numRows()+i,j) = dp3(i,j);
for (int i=0; i<dp4.numRows(); i++)
dp_all(dp1.numRows()+dp2.numRows()+dp3.numRows()+i,j) = dp4(i,j);
}
std::vector< Teuchos::RCP<LOCA::MultiContinuation::ConstraintInterface> > constraintObjs(4);
Teuchos::RCP<LinearConstraint> linear_constraint;
linear_constraint = Teuchos::rcp(new LinearConstraint(dx1->numVectors(),
pVector,
nox_clone_vec));
linear_constraint->setDgDx(*dx1);
linear_constraint->setDgDp(dp1);
linear_constraint->setIsZeroDX(false);
constraintObjs[0] = linear_constraint;
linear_constraint = Teuchos::rcp(new LinearConstraint(dx2->numVectors(),
pVector,
nox_clone_vec));
linear_constraint->setDgDx(*dx2);
linear_constraint->setDgDp(dp2);
linear_constraint->setIsZeroDX(false);
constraintObjs[1] = linear_constraint;
linear_constraint = Teuchos::rcp(new LinearConstraint(dx3->numVectors(),
pVector,
nox_clone_vec));
linear_constraint->setDgDx(*dx3);
linear_constraint->setDgDp(dp3);
linear_constraint->setIsZeroDX(true);
constraintObjs[2] = linear_constraint;
linear_constraint = Teuchos::rcp(new LinearConstraint(dx4->numVectors(),
pVector,
nox_clone_vec));
linear_constraint->setDgDx(*dx4);
linear_constraint->setDgDp(dp4);
linear_constraint->setIsZeroDX(false);
constraintObjs[3] = linear_constraint;
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
LOCA::MultiContinuation::CompositeConstraint composite(globalData,
constraintObjs);
composite.setX(*x);
LinearConstraint combined(dx_all->numVectors(), pVector, nox_clone_vec);
combined.setDgDx(*dx_all);
combined.setDgDp(dp_all);
combined.setX(*x);
//
// test computeConstraints()
//
composite.computeConstraints();
combined.computeConstraints();
int numConstraints = dx_all->numVectors();
const NOX::Abstract::MultiVector::DenseMatrix& g_composite =
composite.getConstraints();
const NOX::Abstract::MultiVector::DenseMatrix& g_combined =
combined.getConstraints();
ierr += testCompare.testMatrix(
g_composite, g_combined, reltol, abstol,
"CompositeConstraint::computeConstraints()");
//
// test computeDP()
//
std::vector<int> paramIDs(3);
paramIDs[0] = 1;
paramIDs[1] = 2;
paramIDs[2] = 4;
NOX::Abstract::MultiVector::DenseMatrix dgdp_composite(
numConstraints,
paramIDs.size()+1);
NOX::Abstract::MultiVector::DenseMatrix dgdp_combined(
numConstraints,
paramIDs.size()+1);
dgdp_composite.putScalar(0.0);
dgdp_combined.putScalar(0.0);
composite.computeDP(paramIDs, dgdp_composite, false);
combined.computeDP(paramIDs, dgdp_combined, false);
ierr += testCompare.testMatrix(
dgdp_composite, dgdp_combined, reltol, abstol,
"CompositeConstraint::computeDP()");
//
// test multiplyDX()
//
composite.computeDX();
combined.computeDX();
int numMultiply = 5;
Teuchos::RCP<NOX::Abstract::MultiVector> A =
nox_clone_vec.createMultiVector(numMultiply);
A->random();
NOX::Abstract::MultiVector::DenseMatrix composite_multiply(numConstraints,
numMultiply);
NOX::Abstract::MultiVector::DenseMatrix combined_multiply(numConstraints,
numMultiply);
composite.multiplyDX(2.65, *A, composite_multiply);
combined.multiplyDX(2.65, *A, combined_multiply);
ierr += testCompare.testMatrix(composite_multiply, combined_multiply,
reltol, abstol,
"CompositeConstraint::multiplyDX()");
//
// test addDX() (No Trans)
//
int numAdd = 5;
NOX::Abstract::MultiVector::DenseMatrix B1(numConstraints, numAdd);
B1.random();
NOX::Abstract::MultiVector::DenseMatrix B2(numAdd, numConstraints);
B2.random();
Teuchos::RCP<NOX::Abstract::MultiVector> composite_add1 =
nox_clone_vec.createMultiVector(numAdd);
composite_add1->random();
Teuchos::RCP<NOX::Abstract::MultiVector> composite_add2 =
nox_clone_vec.createMultiVector(numAdd);
composite_add2->random();
Teuchos::RCP<NOX::Abstract::MultiVector> combined_add1 =
composite_add1->clone(NOX::DeepCopy);
Teuchos::RCP<NOX::Abstract::MultiVector> combined_add2 =
composite_add2->clone(NOX::DeepCopy);
composite.addDX(Teuchos::NO_TRANS, 1.45, B1, 2.78, *composite_add1);
combined.addDX(Teuchos::NO_TRANS, 1.45, B1, 2.78, *combined_add1);
ierr += testCompare.testMultiVector(
*composite_add1, *combined_add1,
reltol, abstol,
"CompositeConstraint::addDX() (No Trans)");
//
// test addDX() (Trans)
//
composite.addDX(Teuchos::TRANS, 1.45, B2, 2.78, *composite_add2);
combined.addDX(Teuchos::TRANS, 1.45, B2, 2.78, *combined_add2);
ierr += testCompare.testMultiVector(
*composite_add2, *combined_add2,
reltol, abstol,
"CompositeConstraint::addDX() (Trans)");
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (MyPID == 0) {
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
}
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
return ierr;
}
int main(int argc, char *argv[])
{
int nConstraints = 10;
int nRHS = 7;
double left_bc = 0.0;
double right_bc = 1.0;
double nonlinear_factor = 1.0;
int ierr = 0;
double reltol = 1.0e-8;
double abstol = 1.0e-8;
double lstol = 1.0e-11;
int MyPID = 0;
try {
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
// Get the total number of processors
MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Get the number of elements from the command line
int NumGlobalElements = 0;
if ((argc > 2) && (verbose))
NumGlobalElements = atoi(argv[2]) + 1;
else if ((argc > 1) && (!verbose))
NumGlobalElements = atoi(argv[1]) + 1;
else
NumGlobalElements = 101;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalElements < NumProc) {
std::cout << "numGlobalBlocks = " << NumGlobalElements
<< " cannot be < number of processors = " << NumProc << std::endl;
exit(1);
}
// Seed the random number generator in Teuchos. We create random
// bordering matrices and it is possible different processors might generate
// different matrices. By setting the seed, this shouldn't happen.
Teuchos::ScalarTraits<double>::seedrandom(12345);
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the constraints list
Teuchos::ParameterList& constraintsList =
locaParamsList.sublist("Constraints");
constraintsList.set("Bordered Solver Method", "Bordering");
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::LinearSolverDetails +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create the "Direction" sublist for the "Line Search Based" solver
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 100);
lsParams.set("Tolerance", lstol);
if (verbose)
lsParams.set("Output Frequency", 1);
else
lsParams.set("Output Frequency", 0);
lsParams.set("Scaling", "None");
lsParams.set("Preconditioner", "Ifpack");
//lsParams.set("Preconditioner", "AztecOO");
//lsParams.set("Jacobian Operator", "Matrix-Free");
//lsParams.set("Preconditioner Operator", "Finite Difference");
lsParams.set("Aztec Preconditioner", "ilut");
//lsParams.set("Overlap", 2);
//lsParams.set("Fill Factor", 2.0);
//lsParams.set("Drop Tolerance", 1.0e-12);
lsParams.set("Max Age Of Prec", -2);
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
Tcubed_FiniteElementProblem Problem(NumGlobalElements, Comm);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(0.0);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",nonlinear_factor);
pVector.addParameter("Left BC", left_bc);
pVector.addParameter("Right BC", right_bc);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base
// class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams,
lsParams, iReq, iJac,
Amat, soln));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
globalData = LOCA::createGlobalData(paramList, epetraFactory);
// Create parsed parameter list
parsedParams =
Teuchos::rcp(new LOCA::Parameter::SublistParser(globalData));
parsedParams->parseSublists(paramList);
// Create the Group
grp = Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln,
linsys, pVector));
// Create Jacobian operator
op = Teuchos::rcp(new LOCA::BorderedSolver::JacobianOperator(grp));
// Change initial guess to a random vector
Teuchos::RCP<NOX::Abstract::Vector> xnew =
grp->getX().clone();
xnew->random();
grp->setX(*xnew);
// Create the constraints object & constraint param IDs list
constraints =
Teuchos::rcp(new LinearConstraint(nConstraints, LOCA::ParameterVector(),
locaSoln));
// Create bordering solver
bordering
= globalData->locaFactory->createBorderedSolverStrategy(
parsedParams,
parsedParams->getSublist("Constraints"));
// Change strategy to Householder
constraintsList.set("Bordered Solver Method",
"Householder");
// Create householder solver
householder
= globalData->locaFactory->createBorderedSolverStrategy(
parsedParams,
parsedParams->getSublist("Constraints"));
// Check some statistics on the solution
testCompare = Teuchos::rcp(new NOX::TestCompare(
globalData->locaUtils->out(),
*(globalData->locaUtils)));
// Evaluate blocks
grp->computeF();
grp->computeJacobian();
// A
A = grp->getX().createMultiVector(nConstraints);
A->random();
// B
constraints->setX(grp->getX());
B = grp->getX().createMultiVector(nConstraints);
B->random();
constraints->setDgDx(*B);
constraints->computeConstraints();
constraints->computeDX();
// C
C = Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nConstraints));
C->random();
// Set up left- and right-hand sides
F = grp->getX().createMultiVector(nRHS);
F->random();
G = Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
G->random();
X_bordering = F->clone(NOX::ShapeCopy);
Y_bordering =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
X_householder = F->clone(NOX::ShapeCopy);
Y_householder =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
std::string testName;
// Test all nonzero
testName = "Testing all nonzero";
ierr += testSolve(false, false, false, false, false,
reltol, abstol, testName);
// Test A = 0
testName = "Testing A=0";
ierr += testSolve(true, false, false, false, false,
reltol, abstol, testName);
// Test B = 0
testName = "Testing B=0";
ierr += testSolve(false, true, false, false, false,
reltol, abstol, testName);
// Test C = 0
testName = "Testing C=0";
ierr += testSolve(false, false, true, false, false,
reltol, abstol, testName);
// Test F = 0
testName = "Testing F=0";
ierr += testSolve(false, false, false, true, false,
reltol, abstol, testName);
// Test G = 0
testName = "Testing G=0";
ierr += testSolve(false, false, false, false, true,
reltol, abstol, testName);
// Test A,B = 0
testName = "Testing A,B=0";
ierr += testSolve(true, true, false, false, false,
reltol, abstol, testName);
// Test A,F = 0
testName = "Testing A,F=0";
ierr += testSolve(true, false, false, true, false,
reltol, abstol, testName);
// Test A,G = 0
testName = "Testing A,G=0";
ierr += testSolve(true, false, false, false, true,
reltol, abstol, testName);
// Test B,F = 0
testName = "Testing B,F=0";
ierr += testSolve(false, true, false, true, false,
reltol, abstol, testName);
// Test B,G = 0
testName = "Testing B,G=0";
ierr += testSolve(false, true, false, false, true,
reltol, abstol, testName);
// Test C,F = 0
testName = "Testing C,F=0";
ierr += testSolve(false, false, true, true, false,
reltol, abstol, testName);
// Test C,G = 0
testName = "Testing C,G=0";
ierr += testSolve(false, false, true, false, true,
reltol, abstol, testName);
// Test F,G = 0
testName = "Testing F,G=0";
ierr += testSolve(false, false, false, true, true,
reltol, abstol, testName);
// Test A,B,F = 0
testName = "Testing A,B,F=0";
ierr += testSolve(true, true, false, true, false,
reltol, abstol, testName);
// Test A,B,G = 0
testName = "Testing A,B,G=0";
ierr += testSolve(true, true, false, false, true,
reltol, abstol, testName);
// Test A,F,G = 0
testName = "Testing A,F,G=0";
ierr += testSolve(true, false, false, true, true,
reltol, abstol, testName);
// Test B,F,G = 0
testName = "Testing B,F,G=0";
ierr += testSolve(false, true, false, true, true,
reltol, abstol, testName);
// Test C,F,G = 0
testName = "Testing C,F,G=0";
ierr += testSolve(false, false, true, true, true,
reltol, abstol, testName);
// Test A,B,F,G = 0
testName = "Testing A,B,F,G=0";
ierr += testSolve(true, true, false, true, true,
reltol, abstol, testName);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (MyPID == 0) {
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
}
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
return ierr;
}
int main()
{
int n = 100;
double alpha = 0.25;
double beta = 0.0;
double D1 = 1.0/40.0;
double D2 = 1.0/40.0;
int maxNewtonIters = 10;
try {
// Create output file to save solutions
ofstream outFile("BrusselatorContinuation.dat");
outFile.setf(ios::scientific, ios::floatfield);
outFile.precision(14);
// Save size of discretizations
outFile << n << endl;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Method", "Arc Length"); // Default
stepperList.set("Continuation Parameter", "beta");
stepperList.set("Initial Value", beta);
stepperList.set("Max Value", 2.0);
stepperList.set("Min Value", 0.0);
stepperList.set("Max Steps", 100);
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
// Use LAPACK solver for arclength bordered solves for efficiency
stepperList.set("Bordered Solver Method", "LAPACK Direct Solve");
// Create Eigensolver list using LAPACK eigensolver
stepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& eigenList = stepperList.sublist("Eigensolver");
eigenList.set("Method", "DGGEV"); // LAPACK eigensolver
eigenList.set("NEV", 10); // Show 10 eigenvalues
eigenList.set("Sorting Order", "LR"); // Sort by largest real component
// Create predictor sublist. We use the constant predictor because the
// solution is linear in the continuation parameter. Using Secant or
// Tangent is not very interesting, but are perfectly valid
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Constant");
//predictorList.set("Method", "Tangent");
//predictorList.set("Method", "Secant");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.1);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 10.0);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("Output Information",
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create LAPACK Factory (necessary for LAPACK eigensolver)
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
BrusselatorProblemInterface brus(globalData, n, alpha, beta, D1, D2,
outFile);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("D1",D1);
p.addParameter("D2",D2);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, brus));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> normF =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxIters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Generic> comboOR =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
normF,
maxIters));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, comboOR, paramList);
// Perform continuation run
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
// Check for convergence
if (status == LOCA::Abstract::Iterator::Finished)
cout << "All examples passed" << endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
outFile.close();
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
cout << e.what() << endl;
}
catch (const char *s) {
cout << s << endl;
}
catch (...) {
cout << "Caught unknown exception!" << endl;
}
return 0;
}
int main(int argc, char *argv[])
{
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
bool verbose = false;
bool success = false;
try {
// scale factor to test arc-length scaling
double scale = 1.0;
// Create output file to save solutions
std::ofstream outFile("t3.dat");
outFile.setf(ios::scientific, ios::floatfield);
outFile.precision(14);
int ierr = 0;
// Get the process ID and the total number of processors
int MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// Get the number of elements from the command line
int NumGlobalElements = 100 + 1;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalElements < NumProc) {
std::cout << "numGlobalBlocks = " << NumGlobalElements
<< " cannot be < number of processors = " << NumProc << std::endl;
exit(1);
}
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
FiniteElementProblem Problem(NumGlobalElements, Comm, scale, &outFile);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(1.0);
// Begin LOCA Solver ************************************
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList = locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Method", "Arc Length"); // Default
locaStepperList.set("Continuation Parameter", "Right BC");
locaStepperList.set("Initial Value", 0.1/scale);
locaStepperList.set("Max Value", 100.0/scale);
locaStepperList.set("Min Value", 0.05/scale);
locaStepperList.set("Max Steps", 30);
locaStepperList.set("Max Nonlinear Iterations", 15);
// Use Housholder method for solving bordered arclength equations
locaStepperList.set("Bordered Solver Method", "Householder");
#ifdef HAVE_LOCA_ANASAZI
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
locaStepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& aList = locaStepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
aList.set("Block Size", 1); // Size of blocks
aList.set("Num Blocks", 10); // Size of Arnoldi factorization
aList.set("Num Eigenvalues", 3); // Number of eigenvalues
aList.set("Convergence Tolerance", 2.0e-7); // Tolerance
aList.set("Step Size", 1); // How often to check convergence
aList.set("Maximum Restarts",2); // Maximum number of restarts
aList.set("Verbosity",
Anasazi::Errors +
Anasazi::Warnings +
Anasazi::FinalSummary); // Verbosity
#else
locaStepperList.set("Compute Eigenvalues",false);
#endif
// Create predictor sublist
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Dfault
stepSizeList.set("Initial Step Size", 0.1/scale);
stepSizeList.set("Min Step Size", 1.0e-3/scale);
stepSizeList.set("Max Step Size", 2000.0/scale);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Create the NOX printing parameter list
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create the "Linear Solver" sublist for Newton's method
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 100);
lsParams.set("Tolerance", 1e-4);
lsParams.set("Output Frequency", 1);
lsParams.set("Scaling", "None");
lsParams.set("Preconditioner", "Ifpack");
//lsParams.set("Preconditioner", "AztecOO");
//lsParams.set("Jacobian Operator", "Matrix-Free");
//lsParams.set("Preconditioner Operator", "Finite Difference");
//lsParams.set("Aztec Preconditioner", "ilut");
//lsParams.set("Overlap", 2);
//lsParams.set("Fill Factor", 2.0);
//lsParams.set("Drop Tolerance", 1.0e-12);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",1.0);
pVector.addParameter("Left BC", 0.0);
pVector.addParameter("Right BC", 0.1);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams, lsParams,
iReq, iJac, Amat, soln));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln, linsys,
pVector));
grp->computeF();
// Create the Solver convergence test
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(locaStepperList.get("Max Nonlinear Iterations", 10)));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
#ifdef HAVE_TEUCHOS_EXTENDED
// Write the parameter list to a file
std::cout << "Writing parameter list to \"input.xml\"" << std::endl;
Teuchos::writeParameterListToXmlFile(*paramList, "input.xml");
// Read in the parameter list from a file
std::cout << "Reading parameter list from \"input.xml\"" << std::endl;
Teuchos::RCP<Teuchos::ParameterList> paramList2 =
Teuchos::rcp(new Teuchos::ParameterList);
Teuchos::updateParametersFromXmlFile("input.xml", paramList2.ptr());
paramList = paramList2;
#endif
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "\nAll tests passed" << std::endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
LOCA::destroyGlobalData(globalData);
success = ierr==0;
}
TEUCHOS_STANDARD_CATCH_STATEMENTS(verbose, std::cerr, success);
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
return ( success ? EXIT_SUCCESS : EXIT_FAILURE );
}
void cnoxinit(int* nelems, double* statevector, int* mpi_comm_ignored,
void* blackbox_res, void* blackbox_prec,
void (*residualFunction)(double *, double *, int, void *),
void (*precFunction)(double *, double *, int, double*, void *))
{
try {
TEST_FOR_EXCEPTION(!is_null(solver), logic_error,
"Exception: cnoxinit() called with solver!=null: "
<< "did not cnoxfinish() since last cnoxinit() call!!");
// Create a communicator for Epetra objects
Epetra_MpiComm Comm( MPI_COMM_WORLD );
// Get the process ID and the total number of processors
int MyPID = Comm.MyPID();
// Begin LOCA Solver ************************************
//
// Create and initialize the continuation/bifurcation parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("ContinuationParam", 0.0);
// Create parameter (options) list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Read in the parameter list from a file
cout << "Reading parameter list from \"input.xml\"" << endl;
Teuchos::updateParametersFromXmlFile("input.xml", paramList.get());
// Set some default parameters
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
Teuchos::ParameterList& locaStepperList = locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Parameter", "ContinuationParam");
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlDir = nlParams.sublist("Direction");
Teuchos::ParameterList& nlNewton = nlDir.sublist("Newton");
Teuchos::ParameterList& lsParams = nlNewton.sublist("Linear Solver");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
if (!nlPrintParams.isParameter("Output Information"))
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
// NOX::Utils::OuterIterationStatusTest +
// NOX::Utils::InnerIteration +
// NOX::Utils::Details +
NOX::Utils::LinearSolverDetails
// NOX::Utils::Warning +
// NOX::Utils::StepperIteration +
// NOX::Utils::StepperDetails +
// NOX::Utils::StepperParameters
);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base class:
interface = Teuchos::rcp(new CNOX_Interface(nelems, statevector, pVector, Comm,
blackbox_res, blackbox_prec,
residualFunction, precFunction));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
// Interface is inherited from these 2 classes as well for user prec
Teuchos::RCP<NOX::Epetra::Interface::Preconditioner> iPrec = interface;
Teuchos::RCP<Epetra_Operator> precOperator = interface;
// Create the Epetra_Vector for the state vector
Teuchos::RCP<Epetra_Vector> soln = interface->getVector();
// The next 2 statements need to be changed if your interface can
// supply a Jacobian matrix!!! See nox examples epetra .....
Teuchos::RCP<NOX::Epetra::MatrixFree> FD =
Teuchos::rcp(new NOX::Epetra::MatrixFree(nlPrintParams, interface, soln));
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = FD;
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams, lsParams,
iJac, FD, iPrec, precOperator, soln));
/* With a Jacobian, and no user-define preconditioner the previous 3 calls should be:
Teuchos::RCP<Epetra_RowMatrix> Amat = Teuchos::rcp(interface->getJacobian(),false)
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams, lsParams,
iReq, iJac, Amat, soln))
*/
// Create the loca vector
initialGuess = Teuchos::RCP<NOX::Epetra::Vector>(new NOX::Epetra::Vector(soln));
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
globalData = LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, *initialGuess, linsys,
pVector));
grp->computeF();
// Create the Solver convergence test
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(nlParams.get("Convergence Tolerance",1.0e-8)));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(10));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
Teuchos::RCP<Teuchos::ParameterList> nlParamsRCP = Teuchos::rcp(&nlParams, false);
solver = NOX::Solver::buildSolver(grp, combo, nlParamsRCP);
} //end try block
catch (std::exception& e) {
cout << e.what() << endl;
}
catch (const char *s) {
cout << s << endl;
}
catch (...) {
cout << "Caught unknown exception!" << endl;
}
}
int main(int argc, char *argv[])
{
int ierr = 0;
try {
int n = 100;
double alpha = 4.0;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 10;
NOX::Random::setSeed(1);
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Create initial guess for the null vector of jacobian
Teuchos::RCP<NOX::Abstract::Vector> nullVec =
Teuchos::rcp(new NOX::LAPACK::Vector(n));
nullVec->init(1.0); // initial value 1.0
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Parameter", "beta");
stepperList.set("Initial Value", beta);
stepperList.set("Max Value", 1.0);
stepperList.set("Min Value", 0.0);
stepperList.set("Max Steps", 20);
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Turning Point");
bifurcationList.set("Bifurcation Parameter", "alpha");
bifurcationList.set("Length Normalization Vector", nullVec);
bifurcationList.set("Initial Null Vector", nullVec);
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
Teuchos::ParameterList& firstStepPredictor
= predictorList.sublist("First Step Predictor");
firstStepPredictor.set("Method", "Random");
firstStepPredictor.set("Epsilon", 1.0e-3);
Teuchos::ParameterList& lastStepPredictor
= predictorList.sublist("Last Step Predictor");
lastStepPredictor.set("Method", "Random");
lastStepPredictor.set("Epsilon", 1.0e-3);
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Initial Step Size", 0.1);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 1.0);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> statusTestA =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-5,
NOX::StatusTest::NormF::Scaled));
Teuchos::RCP<NOX::StatusTest::MaxIters> statusTestB =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
statusTestA, statusTestB));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
// Solve the nonlinear system
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::LAPACK::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::LAPACK::Group>(stepper.getSolutionGroup());
const NOX::LAPACK::Vector& finalSolution =
dynamic_cast<const NOX::LAPACK::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 10;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected,
0.0, "number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double beta_final = finalGroup->getParam("beta");
double beta_expected = 0.0;
ierr += testCompare.testValue(beta_final, beta_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check final value of turning point parameter
double alpha_final = finalGroup->getParam("alpha");
double alpha_expected = 3.1601952;
ierr += testCompare.testValue(alpha_final, alpha_expected, 1.0e-5,
"final value of turning point parameter",
NOX::TestCompare::Relative);
// Check norm of solution
double norm_x = finalSolution.norm();
double norm_x_expected = 63.1872045;
ierr += testCompare.testValue(norm_x, norm_x_expected, 1.0e-4,
"norm of final solution",
NOX::TestCompare::Relative);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
return ierr;
}
int main()
{
try {
int n = 100;
double alpha = 4.0;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 10;
// Create output file to save solutions
std::ofstream outFile("ChanTPContinuation.dat");
outFile.setf(std::ios::scientific, std::ios::floatfield);
outFile.precision(14);
// Save size of discretizations
outFile << n << std::endl;
// Create initial guess for the null vector of jacobian
Teuchos::RCP<NOX::Abstract::Vector> nullVec =
Teuchos::rcp(new NOX::LAPACK::Vector(n));
nullVec->init(1.0); // initial value 1.0
// Create initial values for a and b for minimally augmented method
Teuchos::RCP<NOX::Abstract::Vector> a_vec =
Teuchos::rcp(new NOX::LAPACK::Vector(n));
a_vec->init(1.0);
Teuchos::RCP<NOX::Abstract::Vector> b_vec =
Teuchos::rcp(new NOX::LAPACK::Vector(n));
b_vec->init(1.0);
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Method", "Arc Length"); // Default
stepperList.set("Continuation Parameter", "beta"); // Must set
stepperList.set("Initial Value", beta); // Must set
stepperList.set("Max Value", 1.0); // Must set
stepperList.set("Min Value", 0.0); // Must set
stepperList.set("Max Steps", 20); // Should set
stepperList.set("Max Nonlinear Iterations", maxNewtonIters); // Should set
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Turning Point"); // For turning point
bifurcationList.set("Bifurcation Parameter", "alpha"); // Must set
// For Moore-Spence formulation w/bordering
//bifurcationList.set("Formulation", "Moore-Spence"); // Default
//bifurcationList.set("Solver Method", "Salinger Bordering"); // Default
//bifurcationList.set("Solver Method", "Phipps Bordering");
//bifurcationList.set("Bordered Solver Method",
// "LAPACK Direct Solve"); // For Phipps Bordering
//bifurcationList.set("Length Normalization Vector", nullVec); // Must set
//bifurcationList.set("Initial Null Vector", nullVec); // Must set
// For minimally augmented formulation
bifurcationList.set("Formulation", "Minimally Augmented");
bifurcationList.set("Initial A Vector", a_vec); // Must set
bifurcationList.set("Initial B Vector", b_vec); // Must set
// For minimally augmented method, should set these for good performance
// Direct solve of bordered equations
bifurcationList.set("Bordered Solver Method", "LAPACK Direct Solve");
// Combine arc-length and turning point bordered rows & columns
stepperList.set("Bordered Solver Method", "Nested");
Teuchos::ParameterList& nestedList =
stepperList.sublist("Nested Bordered Solver");
// Direct solve of combined bordered system
nestedList.set("Bordered Solver Method", "LAPACK Direct Solve");
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
// Should use for Moore-Spence w/Salinger Bordering & Secant predictor
//Teuchos::ParameterList& firstStepPredictor
// = predictorList.sublist("First Step Predictor");
//firstStepPredictor.set("Method", "Random");
//firstStepPredictor.set("Epsilon", 1.0e-3);
// Should use for Moore-Spence w/Salinger Bordering & Secant predictor
//Teuchos::ParameterList& lastStepPredictor
// = predictorList.sublist("Last Step Predictor");
//lastStepPredictor.set("Method", "Random");
//lastStepPredictor.set("Epsilon", 1.0e-3);
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.1); // Should set
stepSizeList.set("Min Step Size", 1.0e-3); // Should set
stepSizeList.set("Max Step Size", 1.0); // Should set
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters); // Should set
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale, outFile);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> statusTestA =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-10,
NOX::StatusTest::NormF::Scaled));
Teuchos::RCP<NOX::StatusTest::MaxIters> statusTestB =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
statusTestA, statusTestB));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
// Solve the nonlinear system
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
std::cout << "All examples passed" << std::endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
outFile.close();
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
}
catch (const char *s) {
std::cout << s << std::endl;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
}
return 0;
}
int main(int argc, char *argv[])
{
int nConstraints = 10;
int nRHS = 7;
int n = 100;
double alpha = 1.0;
double beta = 0.0;
double gamma = 2.0;
double scale = 1.0;
int ierr = 0;
double reltol = 1.0e-9;
double abstol = 1.0e-9;
alpha = alpha / scale;
try {
bool verbose = false;
// Check for verbose output
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the constraints list
Teuchos::ParameterList& constraintsList =
locaParamsList.sublist("Constraints");
constraintsList.set("Bordered Solver Method", "Bordering");
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::Error +
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create LAPACK factory
Teuchos::RCP<LOCA::Abstract::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
globalData = LOCA::createGlobalData(paramList, lapackFactory);
// Create parsed parameter list
parsedParams =
Teuchos::rcp(new LOCA::Parameter::SublistParser(globalData));
parsedParams->parseSublists(paramList);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("gamma",gamma);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
grp = Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Create Jacobian operator
op = Teuchos::rcp(new LOCA::BorderedSolver::JacobianOperator(grp));
// Change initial guess to a random vector
Teuchos::RCP<NOX::Abstract::Vector> xnew = grp->getX().clone();
xnew->random();
grp->setX(*xnew);
// Create the constraints object & constraint param IDs list
constraints = Teuchos::rcp(new LinearConstraint(nConstraints, p, *xnew));
Teuchos::RCP< std::vector<int> > constraintParamIDs =
Teuchos::rcp(new std::vector<int>(1));
(*constraintParamIDs)[0] = p.getIndex("alpha");
// Create bordering solver
bordering
= globalData->locaFactory->createBorderedSolverStrategy(
parsedParams,
parsedParams->getSublist("Constraints"));
// Change strategy to LAPACK Direct Solve
constraintsList.set("Bordered Solver Method",
"LAPACK Direct Solve");
// Create direct solver
direct
= globalData->locaFactory->createBorderedSolverStrategy(
parsedParams,
parsedParams->getSublist("Constraints"));
// Check some statistics on the solution
testCompare = Teuchos::rcp(new NOX::TestCompare(
globalData->locaUtils->out(),
*(globalData->locaUtils)));
// Evaluate blocks
grp->computeF();
grp->computeJacobian();
// A
A = grp->getX().createMultiVector(nConstraints);
A->random();
// B
constraints->setX(grp->getX());
B = grp->getX().createMultiVector(nConstraints);
B->random();
constraints->setDgDx(*B);
constraints->computeConstraints();
constraints->computeDX();
// C
C =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nConstraints));
C->random();
// Set up left- and right-hand sides
F = grp->getX().createMultiVector(nRHS);
F->random();
G = Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
G->random();
X_bordering = F->clone(NOX::ShapeCopy);
Y_bordering =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
X_direct = F->clone(NOX::ShapeCopy);
Y_direct =
Teuchos::rcp(new NOX::Abstract::MultiVector::DenseMatrix(nConstraints,
nRHS));
std::string testName;
// Test all nonzero
testName = "Testing all nonzero";
ierr += testSolve(false, false, false, false, false,
reltol, abstol, testName);
// Test A = 0
testName = "Testing A=0";
ierr += testSolve(true, false, false, false, false,
reltol, abstol, testName);
// Test B = 0
testName = "Testing B=0";
ierr += testSolve(false, true, false, false, false,
reltol, abstol, testName);
// Test C = 0
testName = "Testing C=0";
ierr += testSolve(false, false, true, false, false,
reltol, abstol, testName);
// Test F = 0
testName = "Testing F=0";
ierr += testSolve(false, false, false, true, false,
reltol, abstol, testName);
// Test G = 0
testName = "Testing G=0";
ierr += testSolve(false, false, false, false, true,
reltol, abstol, testName);
// Test A,B = 0
testName = "Testing A,B=0";
ierr += testSolve(true, true, false, false, false,
reltol, abstol, testName);
// Test A,F = 0
testName = "Testing A,F=0";
ierr += testSolve(true, false, false, true, false,
reltol, abstol, testName);
// Test A,G = 0
testName = "Testing A,G=0";
ierr += testSolve(true, false, false, false, true,
reltol, abstol, testName);
// Test B,F = 0
testName = "Testing B,F=0";
ierr += testSolve(false, true, false, true, false,
reltol, abstol, testName);
// Test B,G = 0
testName = "Testing B,G=0";
ierr += testSolve(false, true, false, false, true,
reltol, abstol, testName);
// Test C,F = 0
testName = "Testing C,F=0";
ierr += testSolve(false, false, true, true, false,
reltol, abstol, testName);
// Test C,G = 0
testName = "Testing C,G=0";
ierr += testSolve(false, false, true, false, true,
reltol, abstol, testName);
// Test F,G = 0
testName = "Testing F,G=0";
ierr += testSolve(false, false, false, true, true,
reltol, abstol, testName);
// Test A,B,F = 0
testName = "Testing A,B,F=0";
ierr += testSolve(true, true, false, true, false,
reltol, abstol, testName);
// Test A,B,G = 0
testName = "Testing A,B,G=0";
ierr += testSolve(true, true, false, false, true,
reltol, abstol, testName);
// Test A,F,G = 0
testName = "Testing A,F,G=0";
ierr += testSolve(true, false, false, true, true,
reltol, abstol, testName);
// Test B,F,G = 0
testName = "Testing B,F,G=0";
ierr += testSolve(false, true, false, true, true,
reltol, abstol, testName);
// Test C,F,G = 0
testName = "Testing C,F,G=0";
ierr += testSolve(false, false, true, true, true,
reltol, abstol, testName);
// Test A,B,F,G = 0
testName = "Testing A,B,F,G=0";
ierr += testSolve(true, true, false, true, true,
reltol, abstol, testName);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
return ierr;
}
int main(int argc, char *argv[])
{
int ierr = 0;
double nonlinear_factor = 1.0;
double left_bc = 0.0;
double right_bc = 0.40;
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
// Get the process ID and the total number of processors
int MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// Get the number of elements from the command line
int NumGlobalElements = 100 + 1;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalElements < NumProc) {
cout << "numGlobalBlocks = " << NumGlobalElements
<< " cannot be < number of processors = " << NumProc << endl;
exit(1);
}
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
FiniteElementProblem Problem(NumGlobalElements, Comm);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(0.1);
// Create initial guess for the null vector of jacobian
Teuchos::RCP<NOX::Abstract::Vector> solnTwo =
Teuchos::rcp(new NOX::Epetra::Vector(soln));
solnTwo->init(2.5); // initial value 1.0
// Begin LOCA Solver ************************************
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList = locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Method", "Natural");
//locaStepperList.set("Bordered Solver Method", "Nested");
//locaStepperList.set("Bordered Solver Method", "Householder");
locaStepperList.set("Continuation Parameter", "Nonlinear Factor");
locaStepperList.set("Initial Value", nonlinear_factor);
locaStepperList.set("Max Value", 1.6);
locaStepperList.set("Min Value", 0.00);
locaStepperList.set("Max Steps", 20);
locaStepperList.set("Max Nonlinear Iterations", 15);
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Phase Transition");
bifurcationList.set("Bifurcation Parameter", "Right BC");
bifurcationList.set("Second Solution Vector", solnTwo);
// Create predictor sublist
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Constant");
stepSizeList.set("Initial Step Size", 0.1);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 2000.0);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Create the NOX printing parameter list
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
nlPrintParams.set("Output Precision", 6);
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::LinearSolverDetails +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create the "Linear Solver" sublist for Newton's method
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 200);
lsParams.set("Tolerance", 1e-6);
lsParams.set("Output Frequency", 50);
//lsParams.set("Scaling", "None");
//lsParams.set("Scaling", "Row Sum");
lsParams.set("Compute Scaling Manually", false);
lsParams.set("Preconditioner", "Ifpack");
lsParams.set("Ifpack Preconditioner", "ILU");
//lsParams.set("Preconditioner", "New Ifpack");
//Teuchos::ParameterList& ifpackParams = lsParams.sublist("Ifpack");
//ifpackParams.set("fact: level-of-fill", 1);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",nonlinear_factor);
pVector.addParameter("Left BC", left_bc);
pVector.addParameter("Right BC", right_bc);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::TimeDependent> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create scaling object
Teuchos::RCP<NOX::Epetra::Scaling> scaling = Teuchos::null;
// scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> scalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// //scaling->addRowSumScaling(NOX::Epetra::Scaling::Left, scalingVector);
// scaling->addColSumScaling(NOX::Epetra::Scaling::Right, scalingVector);
// Create transpose scaling object
Teuchos::RCP<NOX::Epetra::Scaling> trans_scaling = Teuchos::null;
// trans_scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> transScalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// trans_scaling->addRowSumScaling(NOX::Epetra::Scaling::Right,
// transScalingVector);
// trans_scaling->addColSumScaling(NOX::Epetra::Scaling::Left,
// transScalingVector);
//bifurcationList.set("Transpose Scaling", trans_scaling);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams, lsParams,
iReq, iJac, Amat, soln,
scaling));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams, iReq,
locaSoln, linsys, linsys,
pVector));
// Inject FreeEnergy interface into the group
Teuchos::RCP<LOCA::Epetra::Interface::FreeEnergy> iFE = interface;
grp->setFreeEnergyInterface(iFE);
grp->computeF();
// Create the Solver convergence test
//NOX::StatusTest::NormWRMS wrms(1.0e-2, 1.0e-8);
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-12));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(locaStepperList.get("Max Nonlinear Iterations", 10)));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "All tests passed" << endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
LOCA::destroyGlobalData(globalData);
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
/* end main
*/
return ierr ;
}
int main(int argc, char *argv[])
{
int ierr = 0;
int MyPID = 0;
double alpha = 0.25;
double beta = 1.5;
double D1 = 1.0/40.0;
double D2 = 1.0/40.0;
int maxNewtonIters = 10;
try {
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
// Get the process ID and the total number of processors
MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// Check for verbose output
bool verbose = false;
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Get the number of elements from the command line
int NumGlobalNodes = 0;
if ((argc > 2) && (verbose))
NumGlobalNodes = atoi(argv[2]) + 1;
else if ((argc > 1) && (!verbose))
NumGlobalNodes = atoi(argv[1]) + 1;
else
NumGlobalNodes = 101;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalNodes < NumProc) {
std::cout << "numGlobalNodes = " << NumGlobalNodes
<< " cannot be < number of processors = " << NumProc
<< std::endl;
exit(1);
}
// Create the Brusselator problem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (F) and Jacobian evaluation routines.
Brusselator Problem(NumGlobalNodes, Comm);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Begin LOCA Solver ************************************
// Create the top level parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Bordered Solver Method", "Householder");
stepperList.set("Continuation Parameter", "beta");
stepperList.set("Initial Value", beta);
stepperList.set("Max Value", 1.6);
stepperList.set("Min Value", 0.0);
stepperList.set("Max Steps", 100);
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
#ifdef HAVE_LOCA_ANASAZI
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
stepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& aList = stepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
if (!verbose)
aList.set("Verbosity", Anasazi::Errors);
aList.set("Block Size", 1); // Size of blocks
aList.set("Num Blocks", 50); // Size of Arnoldi factorization
aList.set("Num Eigenvalues", 3); // Number of eigenvalues
aList.set("Convergence Tolerance", 1.0e-7); // Tolerance
aList.set("Step Size", 1); // How often to check convergence
aList.set("Maximum Restarts",1); // Maximum number of restarts
aList.set("Operator", "Cayley");
aList.set("Cayley Pole", 0.1);
aList.set("Cayley Zero", -0.1);
aList.set("Sorting Order", "CA");
#else
stepperList.set("Compute Eigenvalues",false);
#endif
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Constant");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Initial Step Size", 0.01);
stepSizeList.set("Min Step Size", 1.0e-3);
stepSizeList.set("Max Step Size", 0.01);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Set the printing parameters in the "Printing" sublist
Teuchos::ParameterList& printParams = nlParams.sublist("Printing");
printParams.set("MyPID", MyPID);
printParams.set("Output Precision", 3);
printParams.set("Output Processor", 0);
if (verbose)
printParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::Error +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
printParams.set("Output Information", NOX::Utils::Error);
// Sublist for "Linear Solver"
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newtonParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newtonParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 800);
lsParams.set("Tolerance", 1e-6);
lsParams.set("Output Frequency", 50);
lsParams.set("Preconditioner", "Ifpack");
// Create the interface between the test problem and the nonlinear solver
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> A =
Teuchos::rcp(&Problem.getJacobian(),false);
// Use an Epetra Scaling object if desired
Teuchos::RCP<Epetra_Vector> scaleVec =
Teuchos::rcp(new Epetra_Vector(soln));
NOX::Epetra::Scaling scaling;
scaling.addRowSumScaling(NOX::Epetra::Scaling::Left, scaleVec);
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
// Create the Linear System
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq, iJac, A, soln));
//&scaling);
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> shiftedLinSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq, iJac, A, soln));
// Create initial guess
NOX::Epetra::Vector initialGuess(Teuchos::rcp(&soln,false),
NOX::Epetra::Vector::CreateView,
NOX::DeepCopy);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("alpha",alpha);
pVector.addParameter("beta",beta);
pVector.addParameter("D1",D1);
pVector.addParameter("D2",D2);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Interface::TimeDependent> iTime = interface;
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
iTime, initialGuess, linSys,
shiftedLinSys, pVector));
grp->computeF();
// Create the convergence tests
Teuchos::RCP<NOX::StatusTest::NormF> absresid =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8,
NOX::StatusTest::NormF::Unscaled));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(absresid);
combo->addStatusTest(maxiters);
// Create stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::Epetra::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::Epetra::Group>(stepper.getSolutionGroup());
const NOX::Epetra::Vector& finalSolution =
dynamic_cast<const NOX::Epetra::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of continuation steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 11;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
"number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double beta_final = finalGroup->getParam("beta");
double beta_expected = 1.6;
ierr += testCompare.testValue(beta_final, beta_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check final of solution
NOX::Epetra::Vector final_x_expected(finalSolution);
int n = final_x_expected.getEpetraVector().MyLength()/2;
for (int i=0; i<n; i++) {
final_x_expected.getEpetraVector()[2*i] = alpha;
final_x_expected.getEpetraVector()[2*i+1] = beta_final/alpha;
}
ierr += testCompare.testVector(finalSolution, final_x_expected,
1.0e-6, 1.0e-6,
"value of final solution");
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (MyPID == 0) {
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
}
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
return ierr;
}
int main(int argc, char *argv[])
{
// Initialize MPI
Teuchos::GlobalMPISession mpiSession(&argc,&argv);
int ierr = 0;
int MyPID = 0;
double alpha = 1.00; // stable steady state
double beta = BETA_INIT;
double D1 = 1.0/40.0;
double D2 = 1.0/40.0;
int NumGlobalNodes = 10; // default
int spatialProcs = 1; // default
int numTimeSteps = 100; // default
try {
// Check for verbose output
bool verbose = false;
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Get the number of elements from the command line
if ((argc > 2) && (verbose))
NumGlobalNodes = atoi(argv[2]) + 1;
else if ((argc > 1) && (!verbose))
NumGlobalNodes = atoi(argv[1]) + 1;
// Get the number of processors to use for the spatial problem
if ((argc > 3) && (verbose))
spatialProcs = atoi(argv[3]);
else if ((argc > 2) && (!verbose))
spatialProcs = atoi(argv[2]);
// Get the number of processors to use for the spatial problem
if ((argc > 4) && (verbose))
numTimeSteps = atoi(argv[4]);
else if ((argc > 3) && (!verbose))
numTimeSteps = atoi(argv[3]);
// MPI MANIPULATION FOR XYZT PROBLEMS
#ifdef HAVE_MPI
Teuchos::RCP<EpetraExt::MultiMpiComm> globalComm =
Teuchos::rcp(new EpetraExt::MultiMpiComm(MPI_COMM_WORLD,
spatialProcs, numTimeSteps));
#else
Teuchos::RCP<EpetraExt::MultiSerialComm> globalComm =
Teuchos::rcp(new EpetraExt::MultiSerialComm(numTimeSteps));
#endif
Epetra_Comm& Comm = globalComm->SubDomainComm();
MyPID = globalComm->MyPID();
// Get the total number of processors
int NumProc = Comm.NumProc();
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalNodes < NumProc) {
std::cout << "numGlobalNodes = " << NumGlobalNodes
<< " cannot be < number of processors = " << NumProc
<< std::endl;
exit(1);
}
// Create the Brusselator problem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (F) and Jacobian evaluation routines.
Brusselator::OverlapType OType = Brusselator::ELEMENTS;
Brusselator Problem(NumGlobalNodes, Comm, OType);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Begin Nonlinear Solver ************************************
// Create the top level parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
getParamList(&(*paramList), MyPID);
// Sublist for "Linear Solver"
Teuchos::ParameterList& lsParams =
paramList->sublist("NOX").sublist("Direction").sublist("Newton").sublist("Linear Solver");
// Sublist for "Printing"
Teuchos::ParameterList& printParams =
paramList->sublist("NOX").sublist("Printing");
// Change NOX priting settings if "-verbose" not requested
if (!verbose)
printParams.set("Output Information", NOX::Utils::Error);
// Create the interface between the test problem and the nonlinear solver
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> A =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create initial guess
Epetra_MultiVector initGuess(soln.Map(),
globalComm->NumTimeStepsOnDomain());
for (int i=0; i<globalComm->NumTimeStepsOnDomain(); i++)
*(initGuess(i)) = soln;
// Get XYZT preconditioner linear solver parameters
Teuchos::RCP<Teuchos::ParameterList> precLSParams =
Teuchos::rcp(new Teuchos::ParameterList);
getPrecLSParams(&(*precLSParams), MyPID);
// Get XYZT preconditioner print parameters
Teuchos::RCP<Teuchos::ParameterList> precPrintParams =
Teuchos::rcp(new Teuchos::ParameterList);
getPrecPrintParams(&(*precPrintParams), MyPID);
// Change xyztPrec priting settings if "-verbose" not requested
if (!verbose)
precPrintParams->set("Output Information", NOX::Utils::Error);
// Create the XYZT object
Teuchos::RCP<LOCA::Epetra::Interface::xyzt> ixyzt =
Teuchos::rcp(new LOCA::Epetra::Interface::xyzt(interface,
initGuess, A,
globalComm,
soln, 0.5,
precPrintParams.get(),
precLSParams.get()));
// Create the XYZT operator, solution, and preconditioner
Teuchos::RCP<Epetra_RowMatrix> Axyzt =
Teuchos::rcp(&(ixyzt->getJacobian()),false);
Epetra_Vector& solnxyzt = ixyzt->getSolution();
Teuchos::RCP<Epetra_Operator> Mxyzt =
Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
// Create the Linear System
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = ixyzt;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = ixyzt;
Teuchos::RCP<NOX::Epetra::Interface::Preconditioner> iPrec =
Teuchos::rcp(&(ixyzt->getPreconditioner()),false);
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iJac, Axyzt,
iPrec, Mxyzt,
solnxyzt));
// Create full xyzt initial guess
NOX::Epetra::Vector initialGuess(solnxyzt);
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("alpha",alpha);
pVector.addParameter("beta",beta);
pVector.addParameter("D1",D1);
pVector.addParameter("D2",D2);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
iReq, initialGuess, linSys,
pVector));
grp->computeF();
// Create the convergence tests
Teuchos::RCP<NOX::StatusTest::NormF> absresid =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8,
NOX::StatusTest::NormF::Unscaled));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(MAX_NEWTON_ITERS));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(absresid);
combo->addStatusTest(maxiters);
// Create stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr =1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::Epetra::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::Epetra::Group>(stepper.getSolutionGroup());
const NOX::Epetra::Vector& finalSolution =
dynamic_cast<const NOX::Epetra::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of continuation steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 3;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
"number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double beta_final = finalGroup->getParam("beta");
double beta_expected = 2.0;
ierr += testCompare.testValue(beta_final, beta_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check final value of ||F||
double Fnorm_final = (const_cast<Teuchos::ParameterList&>(*stepper.getList()).sublist("NOX").sublist("Output").get("2-Norm of Residual",1.0e+10));
double Fnorm_expected = 0.0;
ierr += testCompare.testValue(Fnorm_final, Fnorm_expected, 1.0e-8,
"final value of ||F||",
NOX::TestCompare::Absolute);
// Check number of nonlinear iterations on last continuation step
int nonlin_final = (const_cast<Teuchos::ParameterList&>(*stepper.getList()).sublist("NOX").
sublist("Output").get("Nonlinear Iterations",MAX_NEWTON_ITERS));
int nonlin_expected = 4;
ierr += testCompare.testValue(nonlin_final, nonlin_expected, 0.0,
"number of nonlinear iterations on last continuation step",
NOX::TestCompare::Absolute);
// initialize solution comparison norm on all procs
double solution_diff_norm = 0.0;
// Compute norm of difference of computed solution - expected solution
if (globalComm->MyPID() == (globalComm->NumProc()-1)) {
// Get solution at last time step
ixyzt->getSolution().ExtractBlockValues(soln,
(globalComm->NumTimeStepsOnDomain() +
globalComm->FirstTimeStepOnDomain() - 1));
// Check final solution at final time step
NOX::Epetra::Vector final_solution(soln);
NOX::Epetra::Vector final_x_expected(final_solution);
for (int i=0; i<NumGlobalNodes; i++) {
final_x_expected.getEpetraVector()[2*i] = alpha;
final_x_expected.getEpetraVector()[2*i+1] = beta_final/alpha;
}
solution_diff_norm = testCompare.computeVectorNorm(final_solution,
final_x_expected,
1.0e-4,
1.0e-4);
}
// Check final solution at final time step on all procs
globalComm->Broadcast(&solution_diff_norm, 1, globalComm->NumProc()-1);
double solution_diff_norm_expected = 0.0;
ierr += testCompare.testValue(solution_diff_norm, solution_diff_norm_expected, 1.0e-4,
"inf norm of (solution_final - solution_expected) at last time step",
NOX::TestCompare::Absolute);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
ierr = 1;
}
catch (const char *s) {
std::cout << s << std::endl;
ierr = 1;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
ierr = 1;
}
if (MyPID == 0) {
if (ierr == 0)
std::cout << "All tests passed!" << std::endl;
else
std::cout << ierr << " test(s) failed!" << std::endl;
}
return ierr;
}
int main( int argc, char **argv )
{
// check for parallel computation
#ifdef HAVE_MPI
MPI_Init(&argc, &argv);
Epetra_MpiComm Comm(MPI_COMM_WORLD);
#else
Epetra_SerialComm Comm;
#endif
// define main parameters
double c = 0.9999; // continuation parameter
int N = 50; // number of grid points
int maxNewtonIters = 20; // max number of Newton iterations
int maxSteps = 50; // max number of continuation steps taken
int ilocal, iglobal; // counter variables used for loops:
// ilocal = counter for local elements on this processor;
// iglobal = counter to signify global position across all procs
int Myele; // holds the number of elements on the processor
// Set flag for whether the computations will be Matrix-free (true) or will use a computed
// Jacobian (false)
bool doMatFree = false;
// Create output file to save solutions
ofstream outFile("Heq5.dat");
outFile.setf(ios::scientific, ios::floatfield);
outFile.precision(10);
// Define the problem class
HeqProblem Problem(N,&Comm,outFile);
// Build initial guess. The initial guess should be a solution vector x close to the
// bifurcation point.
// Create the initial guess vector
Epetra_Vector InitialGuess(Problem.GetMap());
// Get the number of elements on this processor
Myele = Problem.GetMap().NumMyElements();
// Compute the initial guess. For this example, it is a line from (0,1) to (1,8/3)
for (ilocal=0; ilocal<Myele; ilocal++) {
iglobal=Problem.GetMap().GID(ilocal);
InitialGuess[ilocal]= 1.0 + (5.0*iglobal)/(3.0*(N-1));
}
// Create the null vector for the Jacobian (ie, J*v=0, used to solve the system of equations
// f(x,p)=0; J*v=0; v0*v=1. The solution of the system is [x*,v*,p*]. )
Teuchos::RCP<NOX::Abstract::Vector> nullVec =
Teuchos::rcp(new NOX::Epetra::Vector(InitialGuess));
// Initialize to all ones
nullVec->init(1.0);
// NOTE: init is a function within the NOX::Abstract:Vector class which initializes every
// value of the vector to the value within the parentheses (must be in 'double' format)
// Create the top level parameter list
Teuchos::RCP<Teuchos::ParameterList> ParamList = Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = ParamList->sublist("LOCA");
// Create the sublist for continuation and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
//stepperList.set("Continuation Method", "Arc Length");// Default
stepperList.set("Continuation Method", "Natural");
stepperList.set("Continuation Parameter", "dummy"); // Must set
stepperList.set("Initial Value", 999.0); // Must set
stepperList.set("Max Value", 50.0e4); // Must set
stepperList.set("Min Value", 0.0); // Must set
stepperList.set("Max Steps", maxSteps); // Should set
stepperList.set("Max Nonlinear Iterations", maxNewtonIters); // Should set
stepperList.set("Bordered Solver Method", "Bordering");
// Teuchos::ParameterList& nestedList =
// stepperList.sublist("Nested Bordered Solver");
// nestedList.set("Bordered Solver Method", "Householder");
// nestedList.set("Include UV In Preconditioner", true);
// //nestedList.set("Use P For Preconditioner", true);
// nestedList.set("Preconditioner Method", "SMW");
// Set up parameters to compute Eigenvalues
#ifdef HAVE_LOCA_ANASAZI
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
stepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& aList = stepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
aList.set("Block Size", 1); // Size of blocks
aList.set("Num Blocks", 20); // Size of Arnoldi factorization
aList.set("Num Eigenvalues", 5); // Number of eigenvalues
// aList.set("Sorting Order", "SR");
aList.set("Convergence Tolerance", 2.0e-7); // Tolerance
aList.set("Step Size", 1); // How often to check convergence
aList.set("Maximum Restarts",2); // Maximum number of restarts
aList.set("Verbosity",
Anasazi::Errors +
Anasazi::Warnings +
Anasazi::FinalSummary); // Verbosity
#else
stepperList.set("Compute Eigenvalues",false);
#endif
// Create bifurcation sublist. Note that for turning point continuation, the "type"
// is set to "Turning Point". If not doing TP, type should be "None".
Teuchos::ParameterList& bifurcationList = locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "Turning Point");
bifurcationList.set("Bifurcation Parameter", "c");
// bifurcationList.set("Formulation", "Minimally Augmented");
bifurcationList.set("Symmetric Jacobian", false);
bifurcationList.set("Update Null Vectors Every Continuation Step", true);
bifurcationList.set("Update Null Vectors Every Nonlinear Iteration", false);
bifurcationList.set("Transpose Solver Method","Explicit Transpose");
// bifurcationList.set("Transpose Solver Method","Transpose Preconditioner");
// bifurcationList.set("Transpose Solver Method","Left Preconditioning");
bifurcationList.set("Initial Null Vector Computation", "Solve df/dp");
// bifurcationList.set("Initial A Vector", nullVec); // minimally augmented
// bifurcationList.set("Initial B Vector", nullVec); //minimally augmented
// bifurcationList.set("Bordered Solver Method", "Householder");
// bifurcationList.set("Include UV In Preconditioner", true);
// //bifurcationList.set("Use P For Preconditioner", true);
// bifurcationList.set("Preconditioner Method", "SMW");
bifurcationList.set("Formulation", "Moore-Spence");
bifurcationList.set("Solver Method", "Phipps Bordering"); // better for nearly singular matrices
// bifurcationList.set("Solver Method", "Salinger Bordering");
bifurcationList.set("Initial Null Vector", nullVec);
bifurcationList.set("Length Normalization Vector", nullVec);
// Create the sublist for the predictor
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
// predictorList.set("Method", "Constant"); // Other options
// predictorList.set("Method", "Tangent"); // Other options
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.1); // Should set
stepSizeList.set("Min Step Size", 1.0e-6); // Should set
stepSizeList.set("Max Step Size", 1.0); // Should set
stepSizeList.set("Aggressiveness", 0.1);
// Set up NOX info
Teuchos::ParameterList& nlParams = ParamList->sublist("NOX");
// Set the nonlinear solver method
nlParams.set("Nonlinear Solver", "Line Search Based");
// Set the printing parameters in the "Printing" sublist. This list determines how much
// of the NOX information is output
Teuchos::ParameterList& printParams = nlParams.sublist("Printing");
printParams.set("MyPID", Comm.MyPID());
printParams.set("Output Precision", 5);
printParams.set("Output Processor", 0);
printParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::LinearSolverDetails +
NOX::Utils::Parameters +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// NOX parameters - Sublist for line search
Teuchos::ParameterList& searchParams = nlParams.sublist("Line Search");
searchParams.set("Method", "Backtrack");
// searchParams.set("Method", "Full Step");
// Sublist for direction
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
dirParams.set("Method", "Newton");
Teuchos::ParameterList& newtonParams = dirParams.sublist("Newton");
newtonParams.set("Forcing Term Method", "Constant");
// Sublist for linear solver for the Newton method
Teuchos::ParameterList& lsParams = newtonParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 800);
lsParams.set("Tolerance", 1e-8);
lsParams.set("Output Frequency", 1);
lsParams.set("Preconditioner", "None");
// lsParams.set("Preconditioner", "AztecOO");
// lsParams.set("Aztec Preconditioner", "ilu");
// lsParams.set("Scaling", "None");
// lsParams.set("Scaling", "Row Sum");
lsParams.set("Compute Scaling Manually", false);
// lsParams.set("Preconditioner", "Ifpack");
// lsParams.set("Ifpack Preconditioner", "ILU");
// lsParams.set("Preconditioner", "New Ifpack");
// Teuchos::ParameterList& ifpackParams = lsParams.sublist("Ifpack");
// ifpackParams.set("fact: level-of-fill", 1);
// Set up the continuation parameter vector
LOCA::ParameterVector p;
p.addParameter("c",c);
p.addParameter("dummy",999.0);
// Create the problem interface
Teuchos::RCP<SimpleProblemInterface> interface =
Teuchos::rcp(new SimpleProblemInterface(&Problem,c) );
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
// Create the operator to hold either the Jacobian matrix or the Matrix-free operator
Teuchos::RCP<Epetra_Operator> A;
// Teuchos::RCP<Epetra_RowMatrix> A;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac;
// Need a NOX::Epetra::Vector for constructor
// This becomes the initial guess vector that is used for the nonlinear solves
NOX::Epetra::Vector noxInitGuess(InitialGuess, NOX::DeepCopy);
if (doMatFree) {
// Matrix Free application (Epetra Operator):
Teuchos::RCP<NOX::Epetra::MatrixFree> MF =
Teuchos::rcp(new NOX::Epetra::MatrixFree(printParams, interface, noxInitGuess));
A = MF;
iJac = MF;
}
else { // Computed Jacobian application
A = Teuchos::rcp( Problem.GetMatrix(), false );
iJac = interface;
}
// Create scaling object
Teuchos::RCP<NOX::Epetra::Scaling> scaling = Teuchos::null;
// scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> scalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// //scaling->addRowSumScaling(NOX::Epetra::Scaling::Left, scalingVector);
// scaling->addColSumScaling(NOX::Epetra::Scaling::Right, scalingVector);
// Create transpose scaling object
Teuchos::RCP<NOX::Epetra::Scaling> trans_scaling = Teuchos::null;
// trans_scaling = Teuchos::rcp(new NOX::Epetra::Scaling);
// Teuchos::RCP<Epetra_Vector> transScalingVector =
// Teuchos::rcp(new Epetra_Vector(soln.Map()));
// trans_scaling->addRowSumScaling(NOX::Epetra::Scaling::Right,
// transScalingVector);
// trans_scaling->addColSumScaling(NOX::Epetra::Scaling::Left,
// transScalingVector);
//bifurcationList.set("Transpose Scaling", trans_scaling);
// Build the linear system solver
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linSys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(printParams, lsParams,
iReq,
iJac, A,
noxInitGuess, scaling)); // use if scaling
// noxInitGuess)); // use if no scaling
// Create the Loca (continuation) vector
NOX::Epetra::Vector locaSoln(noxInitGuess);
// Create Epetra Factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory = Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData = LOCA::createGlobalData(ParamList, epetraFactory);
// Create the Group - must be LOCA group
Teuchos::RCP<LOCA::Epetra::Group> grpPtr =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, printParams,
iReq, locaSoln,
linSys, p));
// Calculate the first F(x0) as a starting point. This is only needed for
// certain status tests, to ensure that an initial residual (|r0|) is calculated
grpPtr->computeF();
// Set up the status tests to check for convergence
// Determines the error tolerance for the Newton solves
Teuchos::RCP<NOX::StatusTest::NormF> testNormF =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-4));
// Sets the max number of nonlinear (Newton) iterations that will be taken. If this is not
// already set, it will default to the '20' given
Teuchos::RCP<NOX::StatusTest::MaxIters> testMaxIters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(stepperList.get("Max Nonlinear Iterations", 20)));
// This combination of tests will be used by NOX to determine whether the step converged
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
testNormF, testMaxIters));
// This is sample code to write and read parameters to/from a file. Currently not activated!
// To use, change the 'XXXHAVE_TEUCHOS_EXTENDED' TO 'HAVE_TEUCHOS_EXTENDED'
#ifdef XXXHAVE_TEUCHOS_EXTENDED
// Write the parameter list to a file
cout << "Writing parameter list to \"input.xml\"" << endl;
Teuchos::writeParameterListToXmlFile(*ParamList, "input.xml");
// Read in the parameter list from a file
cout << "Reading parameter list from \"input.xml\"" << endl;
Teuchos::RCP<Teuchos::ParameterList> paramList2 =
Teuchos::rcp(new Teuchos::ParameterList);
Teuchos::updateParametersFromXmlFile("input.xml", paramList2.get());
ParamList = paramList2;
#endif
// Create the stepper
LOCA::Stepper stepper(globalData, grpPtr, combo, ParamList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
// Check if the stepper completed
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "\nAll tests passed!" << endl;
else
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out() << "\nStepper failed to converge!" << endl;
// Output the stepper parameter list info
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out() << endl << "Final Parameters" << endl
<< "*******************" << endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << endl;
}
// Make sure all processors are done and close the output file
Comm.Barrier();
outFile.close();
// Deallocate memory
LOCA::destroyGlobalData(globalData);
#ifdef HAVE_MPI
MPI_Finalize();
#endif
return(EXIT_SUCCESS);
} // DONE!!
int main()
{
int n = 100;
double alpha = 3.5;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 10;
alpha = alpha / scale;
// These seeds were found to work -- not the first try
int seed1 = 3;
int seed2 = 4; //Subsequent seeds keep incrementing by seed2-seed1
double homScale = -1.0;
/* Uncomment for interactive mode
std::cout << "Input first seed" << endl; std::cin >> seed1;
std::cout << "Input second seed" << endl; std::cin >> seed2;
std::cout << "Input identity-scale" << endl; std::cin >> homScale;
*/
try {
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("Output Information",
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::Error +
NOX::Utils::Parameters +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::LAPACK::Group> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> statusTestA =
Teuchos::rcp(new NOX::StatusTest::NormF(*grp, 1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> statusTestB =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
statusTestA, statusTestB));
// Create the homotopy group
// Teuchos::RCP<LOCA::Homotopy::Group> hGrp =
// Teuchos::rcp(new LOCA::Homotopy::Group(locaParamsList, globalData, grp));
Teuchos::RCP<Teuchos::ParameterList> hParams =
Teuchos::rcp(&locaParamsList.sublist("Homotopy"),false);
hParams->set("Bordered Solver Method", "LAPACK Direct Solve");
Teuchos::RCP<NOX::Abstract::Vector> startVec =
grp->getX().clone(NOX::ShapeCopy);
startVec->random(true, seed1); /* Always use same seed for testing */
startVec->abs(*startVec);
std::vector< Teuchos::RCP<const NOX::Abstract::Vector> > solns;
LOCA::Abstract::Iterator::IteratorStatus status
= LOCA::Abstract::Iterator::Finished;
int deflationIter = 0;
const int maxDeflationIters = 4;
while (deflationIter < maxDeflationIters
&& status==LOCA::Abstract::Iterator::Finished) {
// ToDo: Add deflateAndReset(vec) to Homotopy group,
// including option to perturb startVec
Teuchos::RCP<LOCA::Homotopy::DeflatedGroup> hGrp =
Teuchos::rcp(new LOCA::Homotopy::DeflatedGroup(globalData,
paramList, hParams, grp, startVec, solns,homScale));
// Override default parameters
stepperList.set("Max Nonlinear Iterations", maxNewtonIters);
stepperList.set("Continuation Method", "Arc Length");
stepperList.set("Max Steps", 100);
stepSizeList.set("Min Step Size", 1.0e-5);
// Create the stepper
LOCA::Stepper stepper(globalData, hGrp, combo, paramList);
// Solve the nonlinear system
status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "Stepper failed to converge!"
<< std::endl;
else {
// Deflate with soln vector just solved for
solns.push_back(grp->getX().clone(NOX::DeepCopy));
// If seed1=seed2, then all seeds the same. Otherwise, keep incrementing seed
startVec->random(true, seed2 + deflationIter*(seed2-seed1));
}
deflationIter++;
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters for deflation iter "
<< deflationIter << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
} //End While loop over delfation iters
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
}
catch (const char *s) {
std::cout << s << std::endl;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
}
cout << "All examples passed" << endl;
return 0;
}
int main()
{
int n = 100;
double alpha = 0.0;
double beta = 0.0;
double scale = 1.0;
int maxNewtonIters = 20;
alpha = alpha / scale;
try {
// Create output file to save solutions
std::ofstream outFile("ChanContinuation.dat");
outFile.setf(std::ios::scientific, std::ios::floatfield);
outFile.precision(14);
// Save size of discretizations
outFile << n << std::endl;
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& stepperList = locaParamsList.sublist("Stepper");
stepperList.set("Continuation Method", "Arc Length");// Default
//stepperList.set("Continuation Method", "Natural");
stepperList.set("Continuation Parameter", "alpha"); // Must set
stepperList.set("Initial Value", alpha); // Must set
stepperList.set("Max Value", 5.0/scale); // Must set
stepperList.set("Min Value", 0.0/scale); // Must set
stepperList.set("Max Steps", 50); // Should set
stepperList.set("Max Nonlinear Iterations", maxNewtonIters); // Should set
stepperList.set("Compute Eigenvalues",false); // Default
// Create bifurcation sublist
Teuchos::ParameterList& bifurcationList =
locaParamsList.sublist("Bifurcation");
bifurcationList.set("Type", "None"); // Default
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Secant"); // Default
//predictorList.set("Method", "Constant");
//predictorList.set("Method", "Tangent");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Method", "Adaptive"); // Default
stepSizeList.set("Initial Step Size", 0.1/scale); // Should set
stepSizeList.set("Min Step Size", 1.0e-3/scale); // Should set
stepSizeList.set("Max Step Size", 10.0/scale); // Should set
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("Output Information",
NOX::Utils::Details +
NOX::Utils::OuterIteration +
NOX::Utils::InnerIteration +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters); // Should set
// Create LAPACK Factory
Teuchos::RCP<LOCA::LAPACK::Factory> lapackFactory =
Teuchos::rcp(new LOCA::LAPACK::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, lapackFactory);
// Set up the problem interface
ChanProblemInterface chan(globalData, n, alpha, beta, scale, outFile);
LOCA::ParameterVector p;
p.addParameter("alpha",alpha);
p.addParameter("beta",beta);
p.addParameter("scale",scale);
// Create a group which uses that problem interface. The group will
// be initialized to contain the default initial guess for the
// specified problem.
Teuchos::RCP<LOCA::MultiContinuation::AbstractGroup> grp =
Teuchos::rcp(new LOCA::LAPACK::Group(globalData, chan));
grp->setParams(p);
// Set up the status tests
Teuchos::RCP<NOX::StatusTest::NormF> normF =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxIters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(maxNewtonIters));
Teuchos::RCP<NOX::StatusTest::Generic> comboOR =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR,
normF,
maxIters));
// Create the stepper
LOCA::Stepper stepper(globalData, grp, comboOR, paramList);
// Perform continuation run
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
// Check for convergence
if (status == LOCA::Abstract::Iterator::Finished)
std::cout << "All examples passed" << std::endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::LAPACK::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::LAPACK::Group>(stepper.getSolutionGroup());
const NOX::LAPACK::Vector& finalSolution =
dynamic_cast<const NOX::LAPACK::Vector&>(finalGroup->getX());
// Print final solution
globalData->locaUtils->out()
<< std::endl << "Final solution is " << std::endl;
finalGroup->printSolution(finalSolution,
finalGroup->getParam("alpha"));
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
outFile.close();
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
std::cout << e.what() << std::endl;
}
catch (const char *s) {
std::cout << s << std::endl;
}
catch (...) {
std::cout << "Caught unknown exception!" << std::endl;
}
return 0;
}
int main(int argc, char *argv[])
{
int ierr = 0;
int MyPID = 0;
try {
// scale factor to test arc-length scaling
double scale = 1.0;
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
// Get the process ID and the total number of processors
MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// Check for verbose output
bool verbose = false;
if (argc>1)
if (argv[1][0]=='-' && argv[1][1]=='v')
verbose = true;
// Get the number of elements from the command line
int NumGlobalElements = 0;
if ((argc > 2) && (verbose))
NumGlobalElements = atoi(argv[2]) + 1;
else if ((argc > 1) && (!verbose))
NumGlobalElements = atoi(argv[1]) + 1;
else
NumGlobalElements = 101;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalElements < NumProc) {
cout << "numGlobalBlocks = " << NumGlobalElements
<< " cannot be < number of processors = " << NumProc << endl;
exit(1);
}
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
Tcubed_FiniteElementProblem Problem(NumGlobalElements, Comm, scale);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(1.0);
// Begin LOCA Solver ************************************
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList =
locaParamsList.sublist("Stepper");
locaStepperList.set("Bordered Solver Method", "Householder");
locaStepperList.set("Continuation Parameter", "Right BC");
locaStepperList.set("Initial Value", 0.1/scale);
locaStepperList.set("Max Value", 100.0/scale);
locaStepperList.set("Min Value", 0.05/scale);
locaStepperList.set("Max Steps", 30);
locaStepperList.set("Max Nonlinear Iterations", 15);
#ifdef HAVE_LOCA_ANASAZI
// Create Anasazi Eigensolver sublist (needs --with-loca-anasazi)
locaStepperList.set("Compute Eigenvalues",true);
Teuchos::ParameterList& aList = locaStepperList.sublist("Eigensolver");
aList.set("Method", "Anasazi");
if (!verbose)
aList.set("Verbosity", Anasazi::Errors);
#else
locaStepperList.set("Compute Eigenvalues",false);
#endif
// Create predictor sublist
Teuchos::ParameterList& predictorList =
locaParamsList.sublist("Predictor");
predictorList.set("Method", "Tangent");
// Create step size sublist
Teuchos::ParameterList& stepSizeList = locaParamsList.sublist("Step Size");
stepSizeList.set("Initial Step Size", 0.1/scale);
stepSizeList.set("Min Step Size", 1.0e-3/scale);
stepSizeList.set("Max Step Size", 2000.0/scale);
stepSizeList.set("Aggressiveness", 0.1);
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Create the NOX printing parameter list
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
if (verbose)
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
//NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::TestDetails +
NOX::Utils::Error +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
else
nlPrintParams.set("Output Information", NOX::Utils::Error);
// Create the "Linear Solver" sublist
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 100);
lsParams.set("Tolerance", 1e-4);
if (verbose)
lsParams.set("Output Frequency", 1);
else
lsParams.set("Output Frequency", 0);
lsParams.set("Scaling", "None");
lsParams.set("Preconditioner", "Ifpack");
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Nonlinear Factor",1.0);
pVector.addParameter("Left BC", 0.0);
pVector.addParameter("Right BC", 0.1);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base
// class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams,
lsParams, iReq, iJac,
Amat, soln));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams,
iReq, locaSoln,
linsys, pVector));
grp->computeF();
// Create the Solver convergence test
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(15));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
// Create the stepper
LOCA::Stepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status != LOCA::Abstract::Iterator::Finished) {
ierr = 1;
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Get the final solution from the stepper
Teuchos::RCP<const LOCA::Epetra::Group> finalGroup =
Teuchos::rcp_dynamic_cast<const LOCA::Epetra::Group>(stepper.getSolutionGroup());
const NOX::Epetra::Vector& finalSolution =
dynamic_cast<const NOX::Epetra::Vector&>(finalGroup->getX());
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
// Check some statistics on the solution
NOX::TestCompare testCompare(globalData->locaUtils->out(),
*(globalData->locaUtils));
if (globalData->locaUtils->isPrintType(NOX::Utils::TestDetails))
globalData->locaUtils->out()
<< std::endl
<< "***** Checking solution statistics *****"
<< std::endl;
// Check number of steps
int numSteps = stepper.getStepNumber();
int numSteps_expected = 23;
ierr += testCompare.testValue(numSteps, numSteps_expected, 0.0,
"number of continuation steps",
NOX::TestCompare::Absolute);
// Check number of failed steps
int numFailedSteps = stepper.getNumFailedSteps();
int numFailedSteps_expected = 0;
ierr += testCompare.testValue(numFailedSteps, numFailedSteps_expected, 0.0,
"number of failed continuation steps",
NOX::TestCompare::Absolute);
// Check final value of continuation parameter
double right_bc_final = finalGroup->getParam("Right BC");
double right_bc_expected = 0.05;
ierr += testCompare.testValue(right_bc_final, right_bc_expected, 1.0e-14,
"final value of continuation parameter",
NOX::TestCompare::Relative);
// Check norm of solution
double norm_x = finalSolution.norm();
double norm_x_expected = 25.00498021;
ierr += testCompare.testValue(norm_x, norm_x_expected, 1.0e-7,
"norm of final solution",
NOX::TestCompare::Relative);
LOCA::destroyGlobalData(globalData);
}
catch (std::exception& e) {
cout << e.what() << endl;
ierr = 1;
}
catch (const char *s) {
cout << s << endl;
ierr = 1;
}
catch (...) {
cout << "Caught unknown exception!" << endl;
ierr = 1;
}
if (MyPID == 0) {
if (ierr == 0)
cout << "All tests passed!" << endl;
else
cout << ierr << " test(s) failed!" << endl;
}
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
/* end main
*/
return ierr ;
}
int main(int argc, char *argv[])
{
int ierr = 0;
// scale factor to test arc-length scaling
double scale = 1.0;
// Initialize MPI
#ifdef HAVE_MPI
MPI_Init(&argc,&argv);
#endif
// Create a communicator for Epetra objects
#ifdef HAVE_MPI
Epetra_MpiComm Comm( MPI_COMM_WORLD );
#else
Epetra_SerialComm Comm;
#endif
// Get the process ID and the total number of processors
int MyPID = Comm.MyPID();
int NumProc = Comm.NumProc();
// Get the number of elements from the command line
int NumGlobalElements = 100 + 1;
// The number of unknowns must be at least equal to the
// number of processors.
if (NumGlobalElements < NumProc) {
cout << "numGlobalBlocks = " << NumGlobalElements
<< " cannot be < number of processors = " << NumProc << endl;
exit(1);
}
// Create the FiniteElementProblem class. This creates all required
// Epetra objects for the problem and allows calls to the
// function (RHS) and Jacobian evaluation routines.
FiniteElementProblem Problem(NumGlobalElements, Comm, scale);
// Get the vector from the Problem
Epetra_Vector& soln = Problem.getSolution();
// Initialize Solution
soln.PutScalar(1.0);
// Begin LOCA Solver ************************************
// Create parameter list
Teuchos::RCP<Teuchos::ParameterList> paramList =
Teuchos::rcp(new Teuchos::ParameterList);
// Create LOCA sublist
Teuchos::ParameterList& locaParamsList = paramList->sublist("LOCA");
// Create the stepper sublist and set the stepper parameters
Teuchos::ParameterList& locaStepperList = locaParamsList.sublist("Stepper");
locaStepperList.set("Continuation Method", "Arc Length");
locaStepperList.set("Bordered Solver Method", "Householder");
locaStepperList.set("Number of Continuation Parameters", 2);
locaStepperList.set("Epsilon", 0.1);
locaStepperList.set("Max Charts", 10000);
locaStepperList.set("Verbosity", 1);
locaStepperList.set("Page Charts", 1);
locaStepperList.set("Dump Polyhedra", true);
locaStepperList.set("Dump Centers", false);
locaStepperList.set("Filename", "MFresults");
locaStepperList.set("Enable Arc Length Scaling", false);
locaStepperList.set("Max Nonlinear Iterations", 15);
locaStepperList.set("Aggressiveness", 0.0);
locaStepperList.set("Max Solution Component", 6.0);
// Create sublist for each continuation parameter
Teuchos::ParameterList& paramList1 =
locaStepperList.sublist("Continuation Parameter 1");
paramList1.set("Parameter Name", "Right BC");
paramList1.set("Initial Value", 0.1);
paramList1.set("Max Value", 4.0);
paramList1.set("Min Value", 0.0);
paramList1.set("Initial Step Size", 0.1);
paramList1.set("Max Step Size", 0.2);
paramList1.set("Min Step Size", 1.0e-3);
Teuchos::ParameterList& paramList2 =
locaStepperList.sublist("Continuation Parameter 2");
paramList2.set("Parameter Name", "Nonlinear Factor");
paramList2.set("Initial Value", 1.0);
paramList2.set("Max Value", 4.0);
paramList2.set("Min Value", 0.0);
paramList2.set("Initial Step Size", 0.1);
paramList2.set("Max Step Size", 0.2);
paramList2.set("Min Step Size", 1.0e-3);
// Create predictor sublist
Teuchos::ParameterList& predictorList = locaParamsList.sublist("Predictor");
predictorList.set("Method", "Tangent");
// Create the "Solver" parameters sublist to be used with NOX Solvers
Teuchos::ParameterList& nlParams = paramList->sublist("NOX");
// Create the NOX printing parameter list
Teuchos::ParameterList& nlPrintParams = nlParams.sublist("Printing");
nlPrintParams.set("MyPID", MyPID);
nlPrintParams.set("Output Information",
NOX::Utils::OuterIteration +
NOX::Utils::OuterIterationStatusTest +
NOX::Utils::InnerIteration +
NOX::Utils::LinearSolverDetails +
NOX::Utils::Details +
NOX::Utils::Warning +
NOX::Utils::StepperIteration +
NOX::Utils::StepperDetails +
NOX::Utils::StepperParameters);
// Create the "Linear Solver" sublist for Newton's method
Teuchos::ParameterList& dirParams = nlParams.sublist("Direction");
Teuchos::ParameterList& newParams = dirParams.sublist("Newton");
Teuchos::ParameterList& lsParams = newParams.sublist("Linear Solver");
lsParams.set("Aztec Solver", "GMRES");
lsParams.set("Max Iterations", 100);
lsParams.set("Tolerance", 1e-4);
lsParams.set("Output Frequency", 50);
lsParams.set("Scaling", "None");
lsParams.set("Preconditioner", "Ifpack");
// Create and initialize the parameter vector
LOCA::ParameterVector pVector;
pVector.addParameter("Right BC", 0.1);
pVector.addParameter("Nonlinear Factor",1.0);
pVector.addParameter("Left BC", 0.0);
// Create the interface between the test problem and the nonlinear solver
// This is created by the user using inheritance of the abstract base class:
Teuchos::RCP<Problem_Interface> interface =
Teuchos::rcp(new Problem_Interface(Problem));
Teuchos::RCP<LOCA::Epetra::Interface::Required> iReq = interface;
Teuchos::RCP<NOX::Epetra::Interface::Jacobian> iJac = interface;
// Create the Epetra_RowMatrixfor the Jacobian/Preconditioner
Teuchos::RCP<Epetra_RowMatrix> Amat =
Teuchos::rcp(&Problem.getJacobian(),false);
// Create the linear systems
Teuchos::RCP<NOX::Epetra::LinearSystemAztecOO> linsys =
Teuchos::rcp(new NOX::Epetra::LinearSystemAztecOO(nlPrintParams, lsParams,
iReq, iJac, Amat, soln));
// Create the loca vector
NOX::Epetra::Vector locaSoln(soln);
// Create Epetra factory
Teuchos::RCP<LOCA::Abstract::Factory> epetraFactory =
Teuchos::rcp(new LOCA::Epetra::Factory);
// Create global data object
Teuchos::RCP<LOCA::GlobalData> globalData =
LOCA::createGlobalData(paramList, epetraFactory);
// Create the Group
Teuchos::RCP<LOCA::Epetra::Group> grp =
Teuchos::rcp(new LOCA::Epetra::Group(globalData, nlPrintParams, iReq,
locaSoln, linsys,
pVector));
grp->computeF();
// Create the Solver convergence test
//NOX::StatusTest::NormWRMS wrms(1.0e-2, 1.0e-8);
Teuchos::RCP<NOX::StatusTest::NormF> wrms =
Teuchos::rcp(new NOX::StatusTest::NormF(1.0e-8));
Teuchos::RCP<NOX::StatusTest::MaxIters> maxiters =
Teuchos::rcp(new NOX::StatusTest::MaxIters(locaStepperList.get("Max Nonlinear Iterations", 10)));
Teuchos::RCP<NOX::StatusTest::Combo> combo =
Teuchos::rcp(new NOX::StatusTest::Combo(NOX::StatusTest::Combo::OR));
combo->addStatusTest(wrms);
combo->addStatusTest(maxiters);
// Create the stepper
LOCA::MultiStepper stepper(globalData, grp, combo, paramList);
LOCA::Abstract::Iterator::IteratorStatus status = stepper.run();
if (status == LOCA::Abstract::Iterator::Finished)
globalData->locaUtils->out() << "All tests passed" << endl;
else {
if (globalData->locaUtils->isPrintType(NOX::Utils::Error))
globalData->locaUtils->out()
<< "Stepper failed to converge!" << std::endl;
}
// Output the parameter list
if (globalData->locaUtils->isPrintType(NOX::Utils::StepperParameters)) {
globalData->locaUtils->out()
<< std::endl << "Final Parameters" << std::endl
<< "****************" << std::endl;
stepper.getList()->print(globalData->locaUtils->out());
globalData->locaUtils->out() << std::endl;
}
LOCA::destroyGlobalData(globalData);
#ifdef HAVE_MPI
MPI_Finalize() ;
#endif
/* end main
*/
return ierr ;
}