double NOX::LineSearch::Utils::Slope::
computeSlope(const Abstract::Vector& dir, const Abstract::Group& grp)
{
if (grp.isGradient())
return(dir.innerProduct(grp.getGradient()));
// Allocate space for vecPtr if necessary
if (Teuchos::is_null(vecPtr))
vecPtr = dir.clone(ShapeCopy);
// v = J * dir
NOX::Abstract::Group::ReturnType status = grp.applyJacobian(dir,*vecPtr);
if (status != NOX::Abstract::Group::Ok)
{
utils.out() << "NOX::LineSearch::Utils::Slope::computeSlope - Unable to apply Jacobian!" << std::endl;
throw "NOX Error";
}
// Check that F exists
if (!grp.isF())
{
utils.out() << "NOX::LineSearch::Utils::Slope::computeSlope - Invalid F" << std::endl;
throw "NOX Error";
}
// Return <v, F> = F' * J * dir = <J'F, dir> = <g, dir>
return(vecPtr->innerProduct(grp.getF()));
}
double NOX::MeritFunction::SumOfSquares::
computeSlopeWithoutJacobianTranspose(const Abstract::Vector& dir,
const Abstract::Group& grp) const
{
// Allocate space for vecPtr if necessary
if (Teuchos::is_null(tmpVecPtr))
tmpVecPtr = grp.getF().clone(NOX::ShapeCopy);
// v = J * dir
NOX::Abstract::Group::ReturnType status = grp.applyJacobian(dir,*tmpVecPtr);
if (status != NOX::Abstract::Group::Ok)
{
utils->out() << "NOX::MeritFunction::SumOfSquares::computeSlopeWithoutJacobianTranspose - Unable to apply Jacobian!" << std::endl;
throw "NOX Error";
}
// Check that F exists
if (!grp.isF())
{
utils->out() << "NOX::MeritFunction::SumOfSquares::computeSlopeWithoutJacobianTranspose - Invalid F" << std::endl;
throw "NOX Error";
}
// Return <v, F> = F' * J * dir = <J'F, dir> = <g, dir>
return(tmpVecPtr->innerProduct(grp.getF()));
}
double NOX::LineSearch::Utils::Slope::
computeSlopeWithOutJac(const Abstract::Vector& dir,
const Abstract::Group& grp)
{
// Allocate space for vecPtr and grpPtr if necessary
if (Teuchos::is_null(vecPtr))
vecPtr = dir.clone(ShapeCopy);
if (Teuchos::is_null(grpPtr))
grpPtr = grp.clone(ShapeCopy);
// Check that F exists
if (!grp.isF())
{
utils.out() << "NOX::LineSearch::Utils::Slope::computeSlope - Invalid F" << std::endl;
throw "NOX Error";
}
// Compute the perturbation parameter
double lambda = 1.0e-6;
double denominator = dir.norm();
// Don't divide by zero
if (denominator == 0.0)
denominator = 1.0;
double eta = lambda * (lambda + grp.getX().norm() / denominator);
// Don't divide by zero
if (eta == 0.0)
eta = 1.0e-6;
// Perturb the solution vector
vecPtr->update(eta, dir, 1.0, grp.getX(), 0.0);
// Compute the new F --> F(x + eta * dir)
grpPtr->setX(*vecPtr);
grpPtr->computeF();
// Compute Js = (F(x + eta * dir) - F(x))/eta
vecPtr->update(-1.0/eta, grp.getF(), 1.0/eta, grpPtr->getF(), 0.0);
return(vecPtr->innerProduct(grp.getF()));
}