double vtTin::GetArea3D()
{
double area = 0.0;
uint tris = NumTris();
for (uint i = 0; i < tris; i++)
{
const int v0 = m_tri[i*3];
const int v1 = m_tri[i*3+1];
const int v2 = m_tri[i*3+2];
const DPoint2 &p1 = m_vert[v0];
const DPoint2 &p2 = m_vert[v1];
const DPoint2 &p3 = m_vert[v2];
DPoint3 dp1(p1.x, p1.y, m_z[v0]);
DPoint3 dp2(p2.x, p2.y, m_z[v1]);
DPoint3 dp3(p3.x, p3.y, m_z[v2]);
area += AreaOfTriangle(dp1, dp2, dp3);
}
return area;
}
/*{
vec3 a = vec3(1.0,0.0,0.0);
}*/
{
vec4 fCol = gl_Color;
vec4 fTex = gl_TexCoord;
vec4 eyeNorm;
vec4 coeff;
vec4 shade;
const vec4 lVec = env1;
const vec4 lHalf = gl_Light_Half;
const vec4 red = vec4(1.0,0.0,0.0,1.0);
eyeNorm = fTex;
eyeNorm[3] = dp3(eyeNorm,eyeNorm);
eyeNorm[3] = rsq(eyeNorm[3]);
eyeNorm = eyeNorm * eyeNorm[3];
shade = gl_Light_Ambient * fCol;
coeff[0] = dp3(lVec,eyeNorm);
coeff[1] = dp3(lHalf,eyeNorm);
coeff[3] = gl_Material_Shininess[0];
coeff = lit(coeff);
shade = shade + coeff[1] * fCol;
shade = shade + coeff[2] * fCol;
gl_FragColor = shade;
}
/*
{
vec4 temp;
if (true){
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;
}
