int main(int argc, char* argv[])
{
// Load the mesh.
Mesh mesh;
H2DReader mloader;
mloader.load("reactor.mesh", &mesh);
// Perform initial mesh refinements.
for (int i = 0; i < INIT_REF_NUM; i++) mesh.refine_all_elements();
// Solution variables.
Solution sln1, sln2, sln3, sln4;
Solution iter1, iter2, iter3, iter4;
Hermes::Tuple<Solution*> solutions(&sln1, &sln2, &sln3, &sln4);
// Define initial conditions.
info("Setting initial conditions.");
iter1.set_const(&mesh, 1.00);
iter2.set_const(&mesh, 1.00);
iter3.set_const(&mesh, 1.00);
iter4.set_const(&mesh, 1.00);
// Enter boundary markers.
BCTypes bc_types;
bc_types.add_bc_neumann(BDY_SYM);
bc_types.add_bc_newton(BDY_VACUUM);
// Create H1 spaces with default shapesets.
H1Space space1(&mesh, &bc_types, P_INIT_1);
H1Space space2(&mesh, &bc_types, P_INIT_2);
H1Space space3(&mesh, &bc_types, P_INIT_3);
H1Space space4(&mesh, &bc_types, P_INIT_4);
Hermes::Tuple<Space*> spaces(&space1, &space2, &space3, &space4);
int ndof = Space::get_num_dofs(Hermes::Tuple<Space*>(&space1, &space2, &space3, &space4));
info("ndof = %d.", ndof);
// Initialize views.
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 320, 600));
ScalarView view2("Neutron flux 2", new WinGeom(350, 0, 320, 600));
ScalarView view3("Neutron flux 3", new WinGeom(700, 0, 320, 600));
ScalarView view4("Neutron flux 4", new WinGeom(1050, 0, 320, 600));
// Do not show meshes.
view1.show_mesh(false); view1.set_3d_mode(true);
view2.show_mesh(false); view2.set_3d_mode(true);
view3.show_mesh(false); view3.set_3d_mode(true);
view4.show_mesh(false); view4.set_3d_mode(true);
// Initialize the weak formulation.
WeakForm wf(4);
wf.add_matrix_form(0, 0, callback(biform_0_0), HERMES_SYM);
wf.add_matrix_form(1, 1, callback(biform_1_1), HERMES_SYM);
wf.add_matrix_form(1, 0, callback(biform_1_0));
wf.add_matrix_form(2, 2, callback(biform_2_2), HERMES_SYM);
wf.add_matrix_form(2, 1, callback(biform_2_1));
wf.add_matrix_form(3, 3, callback(biform_3_3), HERMES_SYM);
wf.add_matrix_form(3, 2, callback(biform_3_2));
wf.add_vector_form(0, callback(liform_0), marker_core, Hermes::Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(1, callback(liform_1), marker_core, Hermes::Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(2, callback(liform_2), marker_core, Hermes::Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_vector_form(3, callback(liform_3), marker_core, Hermes::Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
wf.add_matrix_form_surf(0, 0, callback(biform_surf_0_0), BDY_VACUUM);
wf.add_matrix_form_surf(1, 1, callback(biform_surf_1_1), BDY_VACUUM);
wf.add_matrix_form_surf(2, 2, callback(biform_surf_2_2), BDY_VACUUM);
wf.add_matrix_form_surf(3, 3, callback(biform_surf_3_3), BDY_VACUUM);
// Initialize the FE problem.
bool is_linear = true;
DiscreteProblem dp(&wf, spaces, is_linear);
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Time measurement.
TimePeriod cpu_time, solver_time;
// Main power iteration loop:
int iter = 1; bool done = false;
bool rhs_only = false;
solver->set_factorization_scheme(HERMES_REUSE_FACTORIZATION_COMPLETELY);
do
{
info("------------ Power iteration %d:", iter);
info("Assembling the stiffness matrix and right-hand side vector.");
dp.assemble(matrix, rhs, rhs_only);
/*
// Testing the factorization reuse schemes for direct solvers.
if (iter == 10)
solver->set_factorization_scheme(HERMES_REUSE_MATRIX_REORDERING);
if (iter == 20)
solver->set_factorization_scheme(HERMES_REUSE_MATRIX_REORDERING_AND_SCALING);
if (iter == 30)
solver->set_factorization_scheme(HERMES_REUSE_FACTORIZATION_COMPLETELY);
*/
info("Solving the matrix problem by %s.", MatrixSolverNames[matrix_solver].c_str());
solver_time.tick(HERMES_SKIP);
bool solved = solver->solve();
solver_time.tick();
if(solved)
Solution::vector_to_solutions(solver->get_solution(), spaces, solutions);
else
error ("Matrix solver failed.\n");
// Show intermediate solutions.
// view1.show(&sln1);
// view2.show(&sln2);
// view3.show(&sln3);
// view4.show(&sln4);
SimpleFilter source(source_fn, Hermes::Tuple<MeshFunction*>(&sln1, &sln2, &sln3, &sln4));
SimpleFilter source_prev(source_fn, Hermes::Tuple<MeshFunction*>(&iter1, &iter2, &iter3, &iter4));
// Compute eigenvalue.
double k_new = k_eff * (integrate(&source, marker_core) / integrate(&source_prev, marker_core));
info("Largest eigenvalue: %.8g, rel. difference from previous it.: %g", k_new, fabs((k_eff - k_new) / k_new));
// Stopping criterion.
if (fabs((k_eff - k_new) / k_new) < ERROR_STOP) done = true;
// Update eigenvalue.
k_eff = k_new;
if (!done)
{
// Save solutions for the next iteration.
iter1.copy(&sln1);
iter2.copy(&sln2);
iter3.copy(&sln3);
iter4.copy(&sln4);
// Don't need to reassemble the system matrix in further iterations,
// only the rhs changes to reflect the progressively updated source.
rhs_only = true;
iter++;
}
}
while (!done);
// Time measurement.
cpu_time.tick();
solver_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Average solver time for one power iteration: %g s", solver_time.accumulated() / iter);
// Clean up.
delete matrix;
delete rhs;
delete solver;
// Show solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Skip visualization time.
cpu_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Total running time: %g s", cpu_time.accumulated());
// Wait for all views to be closed.
View::wait();
return 0;
}
int main(int argc, char* argv[])
{
// Load the mesh.
Mesh mesh;
MeshReaderH2D mloader;
mloader.load(mesh_file.c_str(), &mesh);
// Perform initial mesh refinements.
for (int i = 0; i < INIT_REF_NUM; i++) mesh.refine_all_elements();
// Solution variables.
Solution<double> sln1, sln2, sln3, sln4;
Hermes::vector<Solution<double>*> solutions(&sln1, &sln2, &sln3, &sln4);
// Define initial conditions.
Hermes::Mixins::Loggable::Static::info("Setting initial conditions.");
ConstantSolution<double> iter1(&mesh, 1.00), iter2(&mesh, 1.00), iter3(&mesh, 1.00), iter4(&mesh, 1.00);
Hermes::vector<MeshFunction<double>*> iterates(&iter1, &iter2, &iter3, &iter4);
// Create H1 spaces with default shapesets.
H1Space<double> space1(&mesh, P_INIT_1);
H1Space<double> space2(&mesh, P_INIT_2);
H1Space<double> space3(&mesh, P_INIT_3);
H1Space<double> space4(&mesh, P_INIT_4);
Hermes::vector<const Space<double>* > spaces(&space1, &space2, &space3, &space4);
int ndof = Space<double>::get_num_dofs(spaces);
Hermes::Mixins::Loggable::Static::info("ndof = %d", ndof);
// Initialize views.
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 320, 600));
ScalarView view2("Neutron flux 2", new WinGeom(350, 0, 320, 600));
ScalarView view3("Neutron flux 3", new WinGeom(700, 0, 320, 600));
ScalarView view4("Neutron flux 4", new WinGeom(1050, 0, 320, 600));
// Do not show meshes, set 3D mode.
view1.show_mesh(false); view1.set_3d_mode(true);
view2.show_mesh(false); view2.set_3d_mode(true);
view3.show_mesh(false); view3.set_3d_mode(true);
view4.show_mesh(false); view4.set_3d_mode(true);
// Load physical data of the problem for the 4 energy groups.
Hermes::Hermes2D::WeakFormsNeutronics::Multigroup::MaterialProperties::Diffusion::MaterialPropertyMaps matprop(4);
matprop.set_D(D);
matprop.set_Sigma_r(Sr);
matprop.set_Sigma_s(Ss);
matprop.set_Sigma_a(Sa);
matprop.set_Sigma_f(Sf);
matprop.set_nu(nu);
matprop.set_chi(chi);
matprop.validate();
// Printing table of material properties.
std::cout << matprop;
// Initialize the weak formulation.
CustomWeakForm wf(matprop, iterates, k_eff, bdy_vacuum);
// Initialize the FE problem.
DiscreteProblem<double> dp(&wf, spaces);
// Initialize Newton solver.
NewtonSolver<double> newton(&dp);
// Time measurement.
Hermes::Mixins::TimeMeasurable cpu_time;
// Main power iteration loop:
int it = 1; bool done = false;
do
{
Hermes::Mixins::Loggable::Static::info("------------ Power iteration %d:", it);
Hermes::Mixins::Loggable::Static::info("Newton's method.");
// Perform Newton's iteration.
try
{
newton.set_newton_max_iter(NEWTON_MAX_ITER);
newton.set_newton_tol(NEWTON_TOL);
newton.solve_keep_jacobian();
}
catch(Hermes::Exceptions::Exception e)
{
e.printMsg();
throw Hermes::Exceptions::Exception("Newton's iteration failed.");
}
// Debug.
//printf("\n=================================================\n");
//for (int d = 0; d < ndof; d++) printf("%g ", newton.get_sln_vector()[d]);
// Translate the resulting coefficient vector into a Solution.
Solution<double>::vector_to_solutions(newton.get_sln_vector(), spaces, solutions);
// Show intermediate solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Compute eigenvalue.
SourceFilter source(solutions, &matprop, core);
SourceFilter source_prev(iterates, &matprop, core);
double k_new = k_eff * (integrate(&source, core) / integrate(&source_prev, core));
Hermes::Mixins::Loggable::Static::info("Largest eigenvalue: %.8g, rel. difference from previous it.: %g", k_new, fabs((k_eff - k_new) / k_new));
// Stopping criterion.
if (fabs((k_eff - k_new) / k_new) < ERROR_STOP) done = true;
// Update eigenvalue.
k_eff = k_new;
wf.update_keff(k_eff);
if (!done)
{
// Save solutions for the next iteration.
iter1.copy(&sln1);
iter2.copy(&sln2);
iter3.copy(&sln3);
iter4.copy(&sln4);
it++;
}
}
while (!done);
// Time measurement.
cpu_time.tick();
// Show solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Skip visualization time.
cpu_time.tick(Hermes::Mixins::TimeMeasurable::HERMES_SKIP);
// Print timing information.
Hermes::Mixins::Loggable::Static::info("Total running time: %g s", cpu_time.accumulated());
// Wait for all views to be closed.
View::wait();
return 0;
}
int main(int argc, char* argv[])
{
// Build your scene and setup your camera here, by calling
// functions from Raytracer. The code here sets up an example
// scene and renders it from two different view points, DO NOT
// change this if you're just implementing part one of the
// assignment.
Raytracer raytracer;
int width = 320;
int height = 240;
int aa = 2;
int sceneNum = 0;
double toRadian = 2*M_PI/360.0;
fprintf(stderr, "Using options:\n");
#ifdef USE_EXTENDEDLIGHTS
fprintf(stderr, "\tExtended light sources\n");
#else
fprintf(stderr, "\tPoint light sources\n");
#endif
#ifdef USE_REFRACTIONS
fprintf(stderr, "\tRefractions\n");
#else
fprintf(stderr, "\tNo refractions\n");
#endif
#ifdef USE_REFLECTIONS
fprintf(stderr, "\tReflections\n");
#else
fprintf(stderr, "\tNo reflections\n");
#endif
#ifdef IGNORE_SHADOWS
fprintf(stderr, "\tNo shadows\n");
#else
{
#ifdef USE_TRANSMISSIONSHADOWS
fprintf(stderr, "\tTransmission-based shadows\n");
#else
fprintf(stderr, "\tSimple shadows\n");
#endif
}
#endif
#ifdef USE_FINERFLUX
fprintf(stderr, "\tFiner numerical flux intergrations\n");
#else
fprintf(stderr, "\tCoarser numerical flux intergrations\n");
#endif
if (argc == 3) {
width = atoi(argv[1]);
height = atoi(argv[2]);
} else if (argc == 4) {
width = atoi(argv[1]);
height = atoi(argv[2]);
aa = atoi(argv[3]);
} else if (argc == 5) {
width = atoi(argv[1]);
height = atoi(argv[2]);
aa = atoi(argv[3]);
sceneNum = atoi(argv[4]);
}
// SceneNum should not exceed total scenes
if ((sceneNum > 3)|| (sceneNum <0)) {
sceneNum = 0;
}
// Camera parameters.
Point3D eye(0, 0, 1);
Vector3D view(0, 0, -1);
Vector3D up(0, 1, 0);
double fov = 60;
// Defines materials for shading.
Material gold( Colour(0.3, 0.3, 0.3), Colour(0.75164, 0.60648, 0.22648),
Colour(0.628281, 0.555802, 0.366065),
51.2, 0.001, 0.0, 1/2.4 );
Material jade( Colour(0.22, 0.38, 0.33), Colour(0.52, 0.73, 0.57),
Colour(0.316228, 0.316228, 0.316228),
12.8, 0.2 , 0.0, 0.0 );
Material polishedGold( Colour(0.24725, 0.2245, 0.0645), Colour(0.34615, 0.3143, 0.0903),
Colour(0.797357, 0.723991, 0.208006), 83.2, 0.01,0.0,0.0);
Material glass( Colour(0.15, 0.15, 0.15), Colour(0.08, 0.08, 0.08),
Colour(0.2, 0.2, 0.2), 50.1,0.08,0.9,0.6667 );
Material glass1( Colour(0.2, 0.2, 0.2), Colour(0.2, 0.2, 0.2),
Colour(0.7, 0.7, 0.7), 10.1,0.03,0.9,0.6667 );
Material steel( Colour(0.1, 0.1, 0.1), Colour(0.1, 0.1, 0.1),
Colour(0.8, 0.8, 0.8), 80, 0.03, 0.0, 1.0 );
Material blueSolid( Colour(0, 0, 1), Colour(0, 0, 1),
Colour(0, 0, 0), 0, 0.0, 0.0, 1.0 );
Material redSolid( Colour(1, 0, 0), Colour(1, 0, 0),
Colour(0, 0, 0), 0, 0.0, 0.0, 1.0 );
Material chrome( Colour(0.25, 0.25, 0.25), Colour(0.4,0.4,0.4),
Colour(0.7746, 0.7746, 0.7746), 77, 0.42, 0.0, 1.0);
Material ruby( Colour(0.1745, 0.01175, 0.01175), Colour(0.61424, 0.04136, 0.04136),
Colour(0.727811, 0.626959, 0.626959) , 76.8, 0.01, 0.0, 0.565);
Material pearl( Colour(0.25, 0.20725, 0.20725), Colour(1, 0.829, 0.829),
Colour(0.296648, 0.296648, 0.296648), 11.264, 0.1,0.0,1.0 );
Material silver(Colour(0.23125, 0.23125, 0.23125), Colour(0.2775, 0.2775, 0.2775),
Colour(0.773911, 0.773911, 0.773911), 89.6, 0.4,0.0, 1.0);
Material emerald(Colour(0.0215, 0.1745, 0.0215),Colour(0.07568, 0.61424, 0.07568),
Colour(0.633, 0.727811, 0.633), 76.8, 0.1, 0.25, 0.637);
Material brass(Colour(0.329412, 0.223529, 0.027451),Colour(0.780392, 0.568627, 0.113725),
Colour(0.992157, 0.941176, 0.807843),27.8974, 0.3, 0.0, 1.0 );
Material bronze(Colour(0.2125, 0.1275, 0.054), Colour(0.714, 0.4284, 0.18144),
Colour(0.393548, 0.271906, 0.166721), 25.6, 0.1, 0.0, 1.0 );
Material bronzeShiny(Colour(0.25, 0.148, 0.06475), Colour(0.4, 0.2368, 0.1036),
Colour(0.774597, 0.458561, 0.200621), 76.86, 0.15, 0.0, 1.0 );
Material turquoise(Colour(0.1, 0.18725, 0.1745), Colour(0.396, 0.74151, 0.69102),
Colour(0.297254, 0.30829, 0.306678), 12.8, 0.01, 0.2, 0.9);
Material obsidian(Colour(0.05375, 0.05, 0.06625), Colour(0.18275, 0.17, 0.22525),
Colour(0.332741, 0.328634, 0.346435), 38.4, 0.05, 0.18, 0.413);
Material copper(Colour(0.19125, 0.0735, 0.0225), Colour(0.7038, 0.27048, 0.0828),
Colour(0.256777, 0.137622, 0.086014), 12.8, 0.1, 0.0, 1.0 );
Material copperPolished(Colour(0.2295, 0.08825, 0.0275), Colour(0.5508, 0.2118, 0.066),
Colour(0.580594, 0.223257, 0.0695701), 51.2, 0.15, 0.0, 1.0 );
Material pewter(Colour(0.105882, 0.058824, 0.113725), Colour(0.427451, 0.470588, 0.541176),
Colour(0.333333, 0.333333, 0.521569), 9.84615, 0.0, 0.0, 1.0 );
// Light Sources
//=====================
//raytracer.addLightSource( new PointLight(Point3D(1, 1, 2),Colour(0.5, 0.5, 0.5)) );
#ifdef USE_EXTENDEDLIGHTS
// Defines a ball light source
raytracer.addLightSource( new BallLight(Point3D(-1, 1, 1),
2.0, Colour(0.9, 0.9, 0.9), 4) );
#else
// Defines a point light source.
raytracer.addLightSource( new PointLight(Point3D(0, 0, 5),
Colour(0.9, 0.9,0.9) ) );
#endif
if (sceneNum==0) {
// Defines a point light source.
//raytracer.addLightSource( new PointLight(Point3D(0, 0, 5),
// Colour(0.9, 0.9, 0.9) ) );
// Add a unit square into the scene with material mat.
SceneDagNode* sphere = raytracer.addObject( new UnitSphere(), &gold);
SceneDagNode* plane = raytracer.addObject( new UnitSquare(), &jade );
// Apply some transformations to the unit square.
double factor1[3] = { 1.0, 2.0, 1.0 };
double factor2[3] = { 6.0, 6.0, 1.0 };
double factor3[3] = { 4.0, 4.0, 4.0 };
double factor4[3] = { 3.7, 3.7, 3.7 };
raytracer.translate(sphere, Vector3D(0, 0, -5));
raytracer.rotate(sphere, 'x', -45);
raytracer.rotate(sphere, 'z', 45);
raytracer.scale(sphere, Point3D(0, 0, 0), factor1);
raytracer.translate(plane, Vector3D(0, 0, -7));
raytracer.rotate(plane, 'z', 45);
raytracer.scale(plane, Point3D(0, 0, 0), factor2);
/*
SceneDagNode* bigSphere = raytracer.addObject( new UnitSphere(), &glass1);
raytracer.scale(bigSphere, Point3D(0, 0, 0), factor3);
raytracer.translate(bigSphere, Vector3D(0, 0, -7));
SceneDagNode* bigSphere2 = raytracer.addObject( new UnitSphere(), &glass1);
raytracer.scale(bigSphere2, Point3D(0, 0, 0), factor4);
raytracer.translate(bigSphere2, Vector3D(0, 0, -7));
*/
}// end of scene 0
if (sceneNum==1) {
/*
raytracer.addLightSource( new BallLight(Point3D(-1, 1, 1),
5.0, Colour(0.9, 0.9, 0.9), 0.888) );
raytracer.addLightSource( new PointLight(Point3D(0, 0, 2),Colour(0.5, 0.5, 0.5)) );
*/
// Add a unit square into the scene with material mat.
SceneDagNode* sphere = raytracer.addObject( new UnitSphere(), &glass);
SceneDagNode* sphere1 = raytracer.addObject( new UnitSphere(), &brass);
SceneDagNode* plane = raytracer.addObject( new UnitSquare(), &jade);
SceneDagNode* cylinder = raytracer.addObject( new UnitCylinder(), &brass);
// Apply some transformations to the unit square.
double factor1[3] = { 1.0, 2.0, 1.0 };
double factor2[3] = { 6.0, 6.0, 1.0 };
double factor3[3] = { 0.5, 0.5, 2.0 };
raytracer.translate(sphere, Vector3D(0, 0, -5));
raytracer.rotate(sphere, 'x', -45);
raytracer.rotate(sphere, 'z', 45);
raytracer.scale(sphere, Point3D(0, 0, 0), factor1);
raytracer.translate(sphere1, Vector3D(-2.5, 0, -5));
raytracer.translate(plane, Vector3D(0, 0, -7));
raytracer.rotate(plane, 'z', 45);
raytracer.scale(plane, Point3D(0, 0, 0), factor2);
raytracer.translate(cylinder, Vector3D(3, 0, -5));
//raytracer.rotate(cylinder, 'y', -20);
raytracer.rotate(cylinder, 'z', 45);
raytracer.rotate(cylinder, 'x', -75);
raytracer.scale(cylinder, Point3D(0, 0, 0), factor3);
}// end of scene1
//=============== Scene 2 ==============================
//=====================================================
if(sceneNum == 2) {
/*
raytracer.addLightSource( new BallLight(Point3D(-1, 1, 1),
5.0, Colour(0.9, 0.9, 0.9), 0.888) );*/
//raytracer.addLightSource( new PointLight(Point3D(0, 0, 2),Colour(0.5, 0.5, 0.5)) );
//Set up walls
//========================================================
SceneDagNode* planeBack = raytracer.addObject( new UnitSquare(), &brass);
SceneDagNode* planeBottom = raytracer.addObject( new UnitSquare(), &chrome);
SceneDagNode* planeTop = raytracer.addObject( new UnitSquare(), &copperPolished);
SceneDagNode* planeLeft = raytracer.addObject( new UnitSquare(), &bronzeShiny);
SceneDagNode* planeRight = raytracer.addObject( new UnitSquare(), &brass);
SceneDagNode* planeRear = raytracer.addObject( new UnitSquare(), &brass);
double scaleFactor[3] = {8.0,8.0,1.0};
double scaleFactor1[3] = {20.01,20.01,1.0};
raytracer.translate(planeBottom, Vector3D(0, -10, 0));
raytracer.translate(planeTop, Vector3D(0, 10, 0));
raytracer.translate(planeLeft, Vector3D(-10, 0, 0));
raytracer.translate(planeRight, Vector3D(10, 0, 0));
raytracer.translate(planeBack, Vector3D(0, 0, -19.9));
raytracer.translate(planeBottom, Vector3D(0, 0, -10));
raytracer.translate(planeTop, Vector3D(0, 0, -10));
raytracer.translate(planeLeft, Vector3D(0, 0, -10));
raytracer.translate(planeRight, Vector3D(0, 0, -10));
raytracer.translate(planeRear, Vector3D(0, 0, 20));
raytracer.rotate(planeTop, 'x', 90);
raytracer.rotate(planeBottom, 'x',-90);
raytracer.rotate(planeLeft, 'y', -90);
raytracer.rotate(planeRight, 'y', 90);
raytracer.rotate(planeRear, 'x', 180);
raytracer.scale(planeBack, Point3D(0, 0, 0), scaleFactor1);
raytracer.scale(planeBottom, Point3D(0, 0, 0), scaleFactor1);
raytracer.scale(planeTop, Point3D(0, 0, 0), scaleFactor1);
raytracer.scale(planeLeft, Point3D(0, 0, 0), scaleFactor1);
raytracer.scale(planeRight, Point3D(0, 0, 0), scaleFactor1);
raytracer.scale(planeRear, Point3D(0, 0, 0), scaleFactor1);
//===========================================================
double scaleEgg[3] = { 1.0, 1.5, 1.0 };
double scaleBall[3] = {2,2,2};
SceneDagNode* sphere = raytracer.addObject( new UnitSphere(), &glass1);
SceneDagNode* sphere1 = raytracer.addObject( new UnitSphere(), &ruby);
SceneDagNode* sphere2 = raytracer.addObject( new UnitSphere(), &chrome);
//SceneDagNode* cone = raytracer.addObject(sphere, new UnitCone(), &emerald);
//raytracer.translate(cone, Vector3D(0,0,-2));
raytracer.translate(sphere, Vector3D(-1,-1,-11));
raytracer.scale(sphere, Point3D(0,0,0), scaleBall);
raytracer.translate(sphere1, Vector3D(2.5,-1,-11));
raytracer.translate(sphere2, Vector3D(2,3,-11));
//raytracer.translate(cone, Vector3D(-1,-1,-12));
raytracer.rotate(sphere1, 'z', -45);
raytracer.scale(sphere1, Point3D(0,0,0), scaleEgg);
//raytracer.rotate(cone, 'x', 90);
}//end of scene 2
//==================== Scene 3 =================
//===============================================
if(sceneNum == 3) {
#ifdef USE_EXTENDEDLIGHTS
raytracer.addLightSource( new BallLight(Point3D(-5, 5, -3),
2.0, Colour(0.4, 0.4, 0.4), 2) );
raytracer.addLightSource( new BallLight(Point3D(5, 5, -3),
2.0, Colour(0.4, 0.4, 0.4), 2) );
#else
raytracer.addLightSource( new PointLight(Point3D(-5, 5, 0),
Colour(0.5, 0.0, 0.0) ) );
raytracer.addLightSource( new PointLight(Point3D(5, 5, 0),
Colour(0.0, 0.5, 0.0) ) );
raytracer.addLightSource( new PointLight(Point3D(0, -5, 0),
Colour(0.0, 0.0, 0.5) ) );
#endif
double planeScale[3] = {10.0, 10.0, 1.0};
double sphereScale[3]= {1.5,1.5,1.5};
double coneScale[3] = {1.5,1.5,5};
SceneDagNode* plane = raytracer.addObject( new UnitSquare(), &pearl);
SceneDagNode* sphere1 = raytracer.addObject( new UnitSphere(), &chrome);
SceneDagNode* sphere2 = raytracer.addObject( new UnitSphere(), &brass);
//SceneDagNode* cone = raytracer.addObject( new UnitCone(), &turquoise);
raytracer.translate(sphere1, Vector3D(1, 1.5, -6.5));
raytracer.translate(sphere2, Vector3D(-1, -1.5, -6.5));
raytracer.scale(sphere2, Point3D(0,0,0), sphereScale);
raytracer.scale(sphere1, Point3D(0,0,0), sphereScale);
raytracer.rotate(plane, 'z', 45);
raytracer.scale(plane, Point3D(0,0,0), planeScale);
raytracer.translate(plane, Vector3D(0, 0, -8));
/*
raytracer.translate(cone, Vector3D(2.0,-1.0,-3));
raytracer.rotate(cone, 'x', 180);
raytracer.scale(cone, Point3D(0,0,0), coneScale); */
}
// Render the scene, feel free to make the image smaller for
// testing purposes.
raytracer.render(width, height, eye, view, up, fov, aa, "sig1.bmp", 's');
//raytracer.render(width, height, eye, view, up, fov, aa, "diffuse1.bmp",'d');
//raytracer.render(width, height, eye, view, up, fov, aa, "view1.bmp",'p');
// Render it from a different point of view.
Point3D eye2(4, 2, 1);
Vector3D view2(-4, -2, -6);
raytracer.render(width, height, eye2, view2, up, fov, aa, "sig2.bmp", 's');
//raytracer.render(width, height, eye2, view2, up, fov, aa, "diffuse2.bmp",'d');
//raytracer.render(width, height, eye2, view2, up, fov, aa, "view2.bmp",'p');
Point3D eye3(-4, -2, 1);
Vector3D view3(4, 2, -6);
raytracer.render(width, height, eye3, view3, up, fov, aa, "sig3.bmp", 's');
//raytracer.render(width, height, eye3, view3, up, fov, aa, "diffuse3.bmp",'d');
raytracer.render(width, height, eye3, view3, up, fov, aa, "view3.bmp",'p');
return 0;
}
int main(int argc, char* argv[])
{
// Time measurement.
Hermes::Mixins::TimeMeasurable cpu_time;
cpu_time.tick();
// Load physical data of the problem.
MaterialPropertyMaps matprop(N_GROUPS);
matprop.set_D(D);
matprop.set_Sigma_r(Sr);
matprop.set_Sigma_s(Ss);
matprop.set_Sigma_a(Sa);
matprop.set_Sigma_f(Sf);
matprop.set_nu(nu);
matprop.set_chi(chi);
matprop.validate();
std::cout << matprop;
// Use multimesh, i.e. create one mesh for each energy group.
Hermes::vector<Mesh *> meshes;
for (unsigned int g = 0; g < matprop.get_G(); g++)
meshes.push_back(new Mesh());
// Load the mesh for the 1st group.
MeshReaderH2D mloader;
mloader.load(mesh_file.c_str(), meshes[0]);
for (unsigned int g = 1; g < matprop.get_G(); g++)
{
// Obtain meshes for the 2nd to 4th group by cloning the mesh loaded for the 1st group.
meshes[g]->copy(meshes[0]);
// Initial uniform refinements.
for (int i = 0; i < INIT_REF_NUM[g]; i++)
meshes[g]->refine_all_elements();
}
for (int i = 0; i < INIT_REF_NUM[0]; i++)
meshes[0]->refine_all_elements();
// Create pointers to solutions on coarse and fine meshes and from the latest power iteration, respectively.
Hermes::vector<Solution<double>*> coarse_solutions, fine_solutions;
Hermes::vector<MeshFunction<double>*> power_iterates;
// Initialize all the new solution variables.
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
coarse_solutions.push_back(new Solution<double>());
fine_solutions.push_back(new Solution<double>());
power_iterates.push_back(new ConstantSolution<double>(meshes[g], 1.0));
}
// Create the approximation spaces with the default shapeset.
H1Space<double> space1(meshes[0], P_INIT[0]);
H1Space<double> space2(meshes[1], P_INIT[1]);
H1Space<double> space3(meshes[2], P_INIT[2]);
H1Space<double> space4(meshes[3], P_INIT[3]);
Hermes::vector<const Space<double>*> const_spaces(&space1, &space2, &space3, &space4);
Hermes::vector<Space<double>*> spaces(&space1, &space2, &space3, &space4);
// Initialize the weak formulation.
CustomWeakForm wf(matprop, power_iterates, k_eff, bdy_vacuum);
// Initialize the discrete algebraic representation of the problem and its solver.
//
// Create the matrix and right-hand side vector for the solver.
SparseMatrix<double>* mat = create_matrix<double>();
Vector<double>* rhs = create_vector<double>();
// Instantiate the solver itself.
LinearMatrixSolver<double>* solver = create_linear_solver<double>( mat, rhs);
// Initialize views.
/* for 1280x800 display */
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 320, 400));
ScalarView view2("Neutron flux 2", new WinGeom(330, 0, 320, 400));
ScalarView view3("Neutron flux 3", new WinGeom(660, 0, 320, 400));
ScalarView view4("Neutron flux 4", new WinGeom(990, 0, 320, 400));
OrderView oview1("Mesh for group 1", new WinGeom(0, 450, 320, 500));
OrderView oview2("Mesh for group 2", new WinGeom(330, 450, 320, 500));
OrderView oview3("Mesh for group 3", new WinGeom(660, 450, 320, 500));
OrderView oview4("Mesh for group 4", new WinGeom(990, 450, 320, 500));
/* for adjacent 1280x800 and 1680x1050 displays
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 640, 480));
ScalarView view2("Neutron flux 2", new WinGeom(650, 0, 640, 480));
ScalarView view3("Neutron flux 3", new WinGeom(1300, 0, 640, 480));
ScalarView view4("Neutron flux 4", new WinGeom(1950, 0, 640, 480));
OrderView oview1("Mesh for group 1", new WinGeom(1300, 500, 340, 500));
OrderView oview2("Mesh for group 2", new WinGeom(1650, 500, 340, 500));
OrderView oview3("Mesh for group 3", new WinGeom(2000, 500, 340, 500));
OrderView oview4("Mesh for group 4", new WinGeom(2350, 500, 340, 500));
*/
Hermes::vector<ScalarView *> sviews(&view1, &view2, &view3, &view4);
Hermes::vector<OrderView *> oviews(&oview1, &oview2, &oview3, &oview4);
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
sviews[g]->show_mesh(false);
sviews[g]->set_3d_mode(true);
}
// DOF and CPU convergence graphs
GnuplotGraph graph_dof("Error convergence", "NDOF", "log(error)");
graph_dof.add_row("H1 err. est. [%]", "r", "-", "o");
graph_dof.add_row("L2 err. est. [%]", "g", "-", "s");
graph_dof.add_row("Keff err. est. [milli-%]", "b", "-", "d");
graph_dof.set_log_y();
graph_dof.show_legend();
graph_dof.show_grid();
GnuplotGraph graph_dof_evol("Evolution of NDOF", "Adaptation step", "NDOF");
graph_dof_evol.add_row("group 1", "r", "-", "o");
graph_dof_evol.add_row("group 2", "g", "-", "x");
graph_dof_evol.add_row("group 3", "b", "-", "+");
graph_dof_evol.add_row("group 4", "m", "-", "*");
graph_dof_evol.set_log_y();
graph_dof_evol.set_legend_pos("bottom right");
graph_dof_evol.show_grid();
GnuplotGraph graph_cpu("Error convergence", "CPU time [s]", "log(error)");
graph_cpu.add_row("H1 err. est. [%]", "r", "-", "o");
graph_cpu.add_row("L2 err. est. [%]", "g", "-", "s");
graph_cpu.add_row("Keff err. est. [milli-%]", "b", "-", "d");
graph_cpu.set_log_y();
graph_cpu.show_legend();
graph_cpu.show_grid();
// Initialize the refinement selectors.
H1ProjBasedSelector<double> selector(CAND_LIST, CONV_EXP, H2DRS_DEFAULT_ORDER);
Hermes::vector<RefinementSelectors::Selector<double>*> selectors;
for (unsigned int g = 0; g < matprop.get_G(); g++)
selectors.push_back(&selector);
Hermes::vector<MatrixFormVol<double>*> projection_jacobian;
Hermes::vector<VectorFormVol<double>*> projection_residual;
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
projection_jacobian.push_back(new H1AxisymProjectionJacobian(g));
projection_residual.push_back(new H1AxisymProjectionResidual(g, power_iterates[g]));
}
Hermes::vector<ProjNormType> proj_norms_h1, proj_norms_l2;
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
proj_norms_h1.push_back(HERMES_H1_NORM);
proj_norms_l2.push_back(HERMES_L2_NORM);
}
// Initial power iteration to obtain a coarse estimate of the eigenvalue and the fission source.
Hermes::Mixins::Loggable::Static::info("Coarse mesh power iteration, %d + %d + %d + %d = %d ndof:", report_num_dofs(spaces));
power_iteration(matprop, const_spaces, &wf, power_iterates, core, TOL_PIT_CM, matrix_solver);
// Adaptivity loop:
int as = 1; bool done = false;
do
{
Hermes::Mixins::Loggable::Static::info("---- Adaptivity step %d:", as);
// Construct globally refined meshes and setup reference spaces on them.
Hermes::vector<const Space<double>*> ref_spaces_const;
Hermes::vector<Mesh *> ref_meshes;
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
ref_meshes.push_back(new Mesh());
Mesh *ref_mesh = ref_meshes.back();
ref_mesh->copy(spaces[g]->get_mesh());
ref_mesh->refine_all_elements();
int order_increase = 1;
ref_spaces_const.push_back(spaces[g]->dup(ref_mesh, order_increase));
}
#ifdef WITH_PETSC
// PETSc assembling is currently slow for larger matrices, so we switch to
// UMFPACK when matrices of order >8000 start to appear.
if (Space<double>::get_num_dofs(ref_spaces_const) > 8000 && matrix_solver == SOLVER_PETSC)
{
// Delete the old solver.
delete mat;
delete rhs;
delete solver;
// Create a new one.
matrix_solver = SOLVER_UMFPACK;
mat = create_matrix<double>();
rhs = create_vector<double>();
solver = create_linear_solver<double>( mat, rhs);
}
#endif
// Solve the fine mesh problem.
Hermes::Mixins::Loggable::Static::info("Fine mesh power iteration, %d + %d + %d + %d = %d ndof:", report_num_dofs(ref_spaces_const));
power_iteration(matprop, ref_spaces_const, &wf, power_iterates, core, TOL_PIT_RM, matrix_solver);
// Store the results.
for (unsigned int g = 0; g < matprop.get_G(); g++)
fine_solutions[g]->copy((static_cast<Solution<double>*>(power_iterates[g])));
Hermes::Mixins::Loggable::Static::info("Projecting fine mesh solutions on coarse meshes.");
// This is commented out as the appropriate method was deleted in the commit
// "Cleaning global projections" (b282194946225014faa1de37f20112a5a5d7ab5a).
//OGProjection<double> ogProjection; ogProjection.project_global(spaces, projection_jacobian, projection_residual, coarse_solutions);
// Time measurement.
cpu_time.tick();
// View the coarse mesh solution and meshes.
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
sviews[g]->show(coarse_solutions[g]);
oviews[g]->show(spaces[g]);
}
// Skip visualization time.
cpu_time.tick(Hermes::Mixins::TimeMeasurable::HERMES_SKIP);
// Report the number of negative eigenfunction values.
Hermes::Mixins::Loggable::Static::info("Num. of negative values: %d, %d, %d, %d",
get_num_of_neg(coarse_solutions[0]), get_num_of_neg(coarse_solutions[1]),
get_num_of_neg(coarse_solutions[2]), get_num_of_neg(coarse_solutions[3]));
// Calculate element errors and total error estimate.
Adapt<double> adapt_h1(spaces);
Adapt<double> adapt_l2(spaces);
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
adapt_h1.set_error_form(g, g, new ErrorForm(proj_norms_h1[g]));
adapt_l2.set_error_form(g, g, new ErrorForm(proj_norms_l2[g]));
}
// Calculate element errors and error estimates in H1 and L2 norms. Use the H1 estimate to drive adaptivity.
Hermes::Mixins::Loggable::Static::info("Calculating errors.");
Hermes::vector<double> h1_group_errors, l2_group_errors;
double h1_err_est = adapt_h1.calc_err_est(coarse_solutions, fine_solutions, &h1_group_errors) * 100;
double l2_err_est = adapt_l2.calc_err_est(coarse_solutions, fine_solutions, &l2_group_errors, false) * 100;
// Time measurement.
cpu_time.tick();
double cta = cpu_time.accumulated();
// Report results.
Hermes::Mixins::Loggable::Static::info("ndof_coarse: %d + %d + %d + %d = %d", report_num_dofs(spaces));
// Millipercent eigenvalue error w.r.t. the reference value (see physical_parameters.cpp).
double keff_err = 1e5*fabs(wf.get_keff() - REF_K_EFF)/REF_K_EFF;
Hermes::Mixins::Loggable::Static::info("per-group err_est_coarse (H1): %g%%, %g%%, %g%%, %g%%", report_errors(h1_group_errors));
Hermes::Mixins::Loggable::Static::info("per-group err_est_coarse (L2): %g%%, %g%%, %g%%, %g%%", report_errors(l2_group_errors));
Hermes::Mixins::Loggable::Static::info("total err_est_coarse (H1): %g%%", h1_err_est);
Hermes::Mixins::Loggable::Static::info("total err_est_coarse (L2): %g%%", l2_err_est);
Hermes::Mixins::Loggable::Static::info("k_eff err: %g milli-percent", keff_err);
// Add entry to DOF convergence graph.
int ndof_coarse = spaces[0]->get_num_dofs() + spaces[1]->get_num_dofs()
+ spaces[2]->get_num_dofs() + spaces[3]->get_num_dofs();
graph_dof.add_values(0, ndof_coarse, h1_err_est);
graph_dof.add_values(1, ndof_coarse, l2_err_est);
graph_dof.add_values(2, ndof_coarse, keff_err);
// Add entry to CPU convergence graph.
graph_cpu.add_values(0, cta, h1_err_est);
graph_cpu.add_values(1, cta, l2_err_est);
graph_cpu.add_values(2, cta, keff_err);
for (unsigned int g = 0; g < matprop.get_G(); g++)
graph_dof_evol.add_values(g, as, Space<double>::get_num_dofs(spaces[g]));
cpu_time.tick(Hermes::Mixins::TimeMeasurable::HERMES_SKIP);
// If err_est too large, adapt the mesh (L2 norm chosen since (weighted integrals of) solution values
// are more important for further analyses than the derivatives.
if (l2_err_est < ERR_STOP)
done = true;
else
{
Hermes::Mixins::Loggable::Static::info("Adapting the coarse mesh.");
done = adapt_h1.adapt(selectors, THRESHOLD, STRATEGY, MESH_REGULARITY);
if (spaces[0]->get_num_dofs() + spaces[1]->get_num_dofs()
+ spaces[2]->get_num_dofs() + spaces[3]->get_num_dofs() >= NDOF_STOP)
done = true;
}
// Free reference meshes and spaces.
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
delete ref_spaces_const[g];
delete ref_meshes[g];
}
as++;
if (as >= MAX_ADAPT_NUM) done = true;
}
while(done == false);
Hermes::Mixins::Loggable::Static::info("Total running time: %g s", cpu_time.accumulated());
for (unsigned int g = 0; g < matprop.get_G(); g++)
{
delete spaces[g]; delete meshes[g];
delete coarse_solutions[g], delete fine_solutions[g]; delete power_iterates[g];
}
delete mat;
delete rhs;
delete solver;
graph_dof.save("conv_dof.gp");
graph_cpu.save("conv_cpu.gp");
graph_dof_evol.save("dof_evol.gp");
// Wait for all views to be closed.
View::wait();
return 0;
}
//##Documentation
//## @brief Use several views to explore data
//##
//## As in Step2 and Step3, load one or more data sets (many image,
//## surface and other formats), but create 3 views on the data.
//## The QmitkRenderWindow is used for displaying a 3D view as in Step3,
//## but without volume-rendering.
//## Furthermore, we create two 2D views for slicing through the data.
//## We use the class QmitkSliceWidget, which is based on the class
//## QmitkRenderWindow, but additionally provides sliders
//## to slice through the data. We create two instances of
//## QmitkSliceWidget, one for axial and one for sagittal slicing.
//## The two slices are also shown at their correct position in 3D as
//## well as intersection-line, each in the other 2D view.
int main(int argc, char* argv[])
{
QApplication qtapplication( argc, argv );
if(argc<2)
{
fprintf( stderr, "Usage: %s [filename1] [filename2] ...\n\n", itksys::SystemTools::GetFilenameName(argv[0]).c_str() );
return 1;
}
// Register Qmitk-dependent global instances
QmitkRegisterClasses();
//*************************************************************************
// Part I: Basic initialization
//*************************************************************************
// Create a DataStorage
mitk::StandaloneDataStorage::Pointer ds = mitk::StandaloneDataStorage::New();
//*************************************************************************
// Part II: Create some data by reading files
//*************************************************************************
int i;
for(i=1; i<argc; ++i)
{
// For testing
if(strcmp(argv[i], "-testing")==0) continue;
// Create a DataNodeFactory to read a data format supported
// by the DataNodeFactory (many image formats, surface formats, etc.)
mitk::DataNodeFactory::Pointer nodeReader=mitk::DataNodeFactory::New();
const char * filename = argv[i];
try
{
nodeReader->SetFileName(filename);
nodeReader->Update();
//*********************************************************************
//Part III: Put the data into the datastorage
//*********************************************************************
// Since the DataNodeFactory directly creates a node,
// use the datastorage to add the read node
mitk::DataNode::Pointer node = nodeReader->GetOutput();
ds->Add(node);
}
catch(...)
{
fprintf( stderr, "Could not open file %s \n\n", filename );
exit(2);
}
}
//*************************************************************************
// Part IV: Create windows and pass the tree to it
//*************************************************************************
// Create toplevel widget with horizontal layout
QWidget toplevelWidget;
QHBoxLayout layout;
layout.setSpacing(2);
layout.setMargin(0);
toplevelWidget.setLayout(&layout);
//*************************************************************************
// Part IVa: 3D view
//*************************************************************************
// Create a renderwindow
QmitkRenderWindow renderWindow(&toplevelWidget);
layout.addWidget(&renderWindow);
// Tell the renderwindow which (part of) the datastorage to render
renderWindow.GetRenderer()->SetDataStorage(ds);
// Use it as a 3D view
renderWindow.GetRenderer()->SetMapperID(mitk::BaseRenderer::Standard3D);
// *******************************************************
// ****************** START OF NEW PART ******************
// *******************************************************
//*************************************************************************
// Part IVb: 2D view for slicing axially
//*************************************************************************
// Create QmitkSliceWidget, which is based on the class
// QmitkRenderWindow, but additionally provides sliders
QmitkSliceWidget view2(&toplevelWidget);
layout.addWidget(&view2);
view2.SetLevelWindowEnabled(true);
// Tell the QmitkSliceWidget which (part of) the tree to render.
// By default, it slices the data axially
view2.SetDataStorage(ds);
mitk::DataStorage::SetOfObjects::ConstPointer rs = ds->GetAll();
view2.SetData(rs->Begin(),mitk::SliceNavigationController::Axial);
// We want to see the position of the slice in 2D and the
// slice itself in 3D: add it to the datastorage!
ds->Add(view2.GetRenderer()->GetCurrentWorldGeometry2DNode());
//*************************************************************************
// Part IVc: 2D view for slicing sagitally
//*************************************************************************
// Create QmitkSliceWidget, which is based on the class
// QmitkRenderWindow, but additionally provides sliders
QmitkSliceWidget view3(&toplevelWidget);
layout.addWidget(&view3);
view3.SetDataStorage(ds);
// Tell the QmitkSliceWidget which (part of) the datastorage to render
// and to slice sagitally
view3.SetData(rs->Begin(), mitk::SliceNavigationController::Sagittal);
// We want to see the position of the slice in 2D and the
// slice itself in 3D: add it to the datastorage!
ds->Add(view3.GetRenderer()->GetCurrentWorldGeometry2DNode());
// *******************************************************
// ******************* END OF NEW PART *******************
// *******************************************************
//*************************************************************************
// Part V: Qt-specific initialization
//*************************************************************************
toplevelWidget.show();
// for testing
#include "QtTesting.h"
if(strcmp(argv[argc-1], "-testing")!=0)
return qtapplication.exec();
else
return QtTesting();
}
int main(int argc, char* argv[])
{
// Instantiate a class with global functions.
Hermes2D hermes2d;
// Load the mesh.
Mesh mesh;
H2DReader mloader;
mloader.load("reactor.mesh", &mesh);
// Perform initial mesh refinements.
for (int i = 0; i < INIT_REF_NUM; i++) mesh.refine_all_elements();
// Solution variables.
Solution sln1, sln2, sln3, sln4;
Hermes::vector<Solution*> solutions(&sln1, &sln2, &sln3, &sln4);
// Define initial conditions.
info("Setting initial conditions.");
Solution iter1, iter2, iter3, iter4;
iter1.set_const(&mesh, 1.00);
iter2.set_const(&mesh, 1.00);
iter3.set_const(&mesh, 1.00);
iter4.set_const(&mesh, 1.00);
Hermes::vector<MeshFunction*> iterates(&iter1, &iter2, &iter3, &iter4);
// Create H1 spaces with default shapesets.
H1Space space1(&mesh, P_INIT_1);
H1Space space2(&mesh, P_INIT_2);
H1Space space3(&mesh, P_INIT_3);
H1Space space4(&mesh, P_INIT_4);
Hermes::vector<Space*> spaces(&space1, &space2, &space3, &space4);
int ndof = Space::get_num_dofs(spaces);
info("ndof = %d.", ndof);
// Initialize views.
ScalarView view1("Neutron flux 1", new WinGeom(0, 0, 320, 600));
ScalarView view2("Neutron flux 2", new WinGeom(350, 0, 320, 600));
ScalarView view3("Neutron flux 3", new WinGeom(700, 0, 320, 600));
ScalarView view4("Neutron flux 4", new WinGeom(1050, 0, 320, 600));
// Do not show meshes.
view1.show_mesh(false); view1.set_3d_mode(true);
view2.show_mesh(false); view2.set_3d_mode(true);
view3.show_mesh(false); view3.set_3d_mode(true);
view4.show_mesh(false); view4.set_3d_mode(true);
// Load physical data of the problem for the 4 energy groups.
MaterialPropertyMaps matprop(4);
matprop.set_D(D);
matprop.set_Sigma_r(Sr);
matprop.set_Sigma_s(Ss);
matprop.set_Sigma_s_nnz_structure(Ss_nnz);
matprop.set_Sigma_a(Sa);
matprop.set_Sigma_f(Sf);
matprop.set_nu(nu);
matprop.set_chi(chi);
matprop.validate();
std::cout << matprop;
// Initialize the weak formulation.
CustomWeakForm wf(matprop, iterates, k_eff, bdy_vacuum);
// Initialize the FE problem.
DiscreteProblem dp(&wf, spaces);
SparseMatrix* matrix = create_matrix(matrix_solver);
Vector* rhs = create_vector(matrix_solver);
Solver* solver = create_linear_solver(matrix_solver, matrix, rhs);
if (matrix_solver == SOLVER_AZTECOO)
{
((AztecOOSolver*) solver)->set_solver(iterative_method);
((AztecOOSolver*) solver)->set_precond(preconditioner);
// Using default iteration parameters (see solver/aztecoo.h).
}
// Time measurement.
TimePeriod cpu_time, solver_time;
// Initial coefficient vector for the Newton's method.
scalar* coeff_vec = new scalar[ndof];
// Force the Jacobian assembling in the first iteration.
bool Jacobian_changed = true;
// In the following iterations, Jacobian will not be changing; its LU factorization
// may be reused.
solver->set_factorization_scheme(HERMES_REUSE_FACTORIZATION_COMPLETELY);
// Main power iteration loop:
int it = 1; bool done = false;
do
{
info("------------ Power iteration %d:", it);
info("Newton's method (matrix problem solved by %s).", MatrixSolverNames[matrix_solver].c_str());
memset(coeff_vec, 0.0, ndof*sizeof(scalar)); //TODO: Why it doesn't work without zeroing coeff_vec in each iteration?
solver_time.tick(HERMES_SKIP);
if (!hermes2d.solve_newton(coeff_vec, &dp, solver, matrix, rhs, Jacobian_changed, 1e-8, 10, true))
error("Newton's iteration failed.");
solver_time.tick();
Solution::vector_to_solutions(solver->get_solution(), spaces, solutions);
// Show intermediate solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Compute eigenvalue.
SourceFilter source(solutions, matprop);
SourceFilter source_prev(iterates, matprop);
double k_new = k_eff * (integrate(&source, core) / integrate(&source_prev, core));
info("Largest eigenvalue: %.8g, rel. difference from previous it.: %g", k_new, fabs((k_eff - k_new) / k_new));
// Stopping criterion.
if (fabs((k_eff - k_new) / k_new) < ERROR_STOP) done = true;
// Update eigenvalue.
k_eff = k_new;
wf.update_keff(k_eff);
if (!done)
{
// Save solutions for the next iteration.
iter1.copy(&sln1);
iter2.copy(&sln2);
iter3.copy(&sln3);
iter4.copy(&sln4);
// Don't need to reassemble the system matrix in further iterations,
// only the rhs changes to reflect the progressively updated source.
Jacobian_changed = false;
it++;
}
}
while (!done);
delete [] coeff_vec;
// Time measurement.
cpu_time.tick();
solver_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Average solver time for one power iteration: %g s", solver_time.accumulated() / it);
// Clean up.
delete matrix;
delete rhs;
delete solver;
// Show solutions.
view1.show(&sln1);
view2.show(&sln2);
view3.show(&sln3);
view4.show(&sln4);
// Skip visualization time.
cpu_time.tick(HERMES_SKIP);
// Print timing information.
verbose("Total running time: %g s", cpu_time.accumulated());
// Wait for all views to be closed.
View::wait();
return 0;
}
/**
* Wooden Monkey Scene 1
*/
void refraction_scene_1()
{
printf("REFRACTION SCENE : 1 ----------------------------------\n\n");
Raytracer rt;
int width = 16 * 20 * 2;
int height = 12 * 20 * 2;
// Camera parameters.
Point3D eye1(0, 0, 1), eye2(4, 2, 1);
Vector3D view1(0, 0, -1), view2(-4, -2, -6);
Vector3D up(0, 1, 0);
double fov = 60;
// Defines a material for shading.
Material gold( Colour(0.3, 0.3, 0.3), Colour(0.75164, 0.60648, 0.22648),
Colour(0.628281, 0.555802, 0.366065),
51.2, LARGE_SPH_REFLECT, LARGE_SPH_REFRAC_INDX, LARGE_SPH_REFRACT);
Material jade( Colour(0, 0, 0), Colour(0.54, 0.89, 0.63),
Colour(0.316228, 0.316228, 0.316228),
12.8);
// Defines a material for shading.
Material gold_nonRefract( Colour(0.3, 0.3, 0.3), Colour(0.75164, 0.60648, 0.22648),
Colour(0.628281, 0.555802, 0.366065),
51.2, 0.8 );
// Defines a point light source.
double l0c = 0.5;
PointLight * light0 = new PointLight(
Point3D(-2, 2, 5),
Colour(l0c, l0c, l0c),
0.2);
rt.addLightSource(light0);
// Add a unit square into the scene with material mat.
SceneDagNode* sphere = rt.addObject( new UnitSphere(), &gold );
SceneDagNode* sphere2 = rt.addObject( new UnitSphere(), &gold_nonRefract );
SceneDagNode* plane = rt.addObject( new UnitSquare(), &jade );
SceneDagNode* sphere3 = rt.addObject( new UnitSphere(), &RED);
SceneDagNode* sphere4 = rt.addObject( new UnitSphere(), &GREEN_TRANSP);
SceneDagNode* plane2 = rt.addObject( new UnitSquare(), &jade );
// SceneDagNode* plane3 = rt.addObject( new UnitSquare(), &jade );
// SceneDagNode* plane4 = rt.addObject( new UnitSquare(), &jade );
// Apply some transformations to the unit square.
double factor1[3] = { 1.0, 2.0, 1.0 };
double factor2[3] = { 6.0, 6.0, 6.0 };
rt.translate(sphere, Vector3D(0, 0, -5));
rt.rotate(sphere, 'x', -45);
rt.rotate(sphere, 'z', 45);
rt.scale(sphere, Point3D(0, 0, 0), factor1);
rt.translate(plane, Vector3D(0, 0, -7));
rt.rotate(plane, 'z', 45);
rt.scale(plane, Point3D(0, 0, 0), factor2);
double f[3] = { 0.5, 0.5, 0.5 };
rt.translate(sphere2, Vector3D(3, 0, -5));
rt.scale(sphere2, Point3D(0, 0, 0), f);
rt.translate(sphere3, Vector3D(0, 2, -5));
rt.scale(sphere3, Point3D(0, 0, 0), f);
double f2[3] = { 0.6, 0.6, 0.6 };
rt.translate(sphere4, Vector3D(-2, 1, -3));
rt.scale(sphere4, Point3D(0, 0, 0), f2);
double fp2[3] = { 3.0, 3.0, 3.0 };
rt.translate(plane2,Vector3D(-4,1,-5));
rt.rotate(plane2, 'z', 45);
rt.rotate(plane2, 'y', 45);
rt.scale(plane2, Point3D(0, 0, 0), fp2);
// rt.translate(plane3,Vector3D(-2,0,-5));
// rt.rotate(plane2, 'z', 45);
// rt.rotate(plane3, 'x', 90);
// rt.scale(plane3, Point3D(0, 0, 0), fp2);
//
// rt.translate(plane4,Vector3D(-2,1,-5));
// rt.rotate(plane2, 'z', 45);
// rt.rotate(plane4, 'y', 90);
// rt.scale(plane4, Point3D(0, 0, 0), fp2);
rt.setAAMode(Raytracer::AA_SUPER_SAMPLING);
rt.setShadingMode(Raytracer::SCENE_MODE_PHONG);
rt.setShadows(Raytracer::SHADOW_CAST);
rt.setEnvMapMode(Raytracer::ENV_MAP_CUBE_SKYBOX);
rt.setColorSpaceMode(Raytracer::COLOR_ENC_SRGB_GAMMA_CORRECT);
rt.setReflDepth(4);
//set the texture map for the objects of interest in the scene if texture map flag is ON
if (TEXTURE_MAP_FLAG) {
// load texture image
TextureMap txtmp;
txtmp = TextureMap(TEXTURE_IMG);
TextureMap txtmp2 = TextureMap(TEXTURE_IMG2);
TextureMap txtmp3 = TextureMap(TEXTURE_IMG3);
//for now, we are only using texture map for sphere
sphere->useTextureMapping = true;
sphere->obj->setTextureMap(txtmp);
sphere2->useTextureMapping = false;
sphere4->useTextureMapping = true;
sphere4->setTextMapOfObject(txtmp2);
plane2->useTextureMapping = true;
plane2->setTextMapOfObject(txtmp3);
// plane3->useTextureMapping = true;
// plane3->setTextMapOfObject(txtmp3);
//
// plane4->useTextureMapping = true;
// plane4->setTextMapOfObject(txtmp3);
}
// refraction if it's turned on
if (REFRACTION_FLAG) {
rt.setRefractionMode(REFRACTION_FLAG);
}
if ( rt.getEnvMapMode() != Raytracer::NONE ) {
// load images
EnvMap env;
if ( _DEBUG ) {
env = EnvMap(
"EnvMaps/DebugMaps/posx.bmp",
"EnvMaps/DebugMaps/posy.bmp",
"EnvMaps/DebugMaps/posz.bmp",
"EnvMaps/DebugMaps/negx.bmp",
"EnvMaps/DebugMaps/negy.bmp",
"EnvMaps/DebugMaps/negz.bmp"
);
} else {
env = EnvMap(
"EnvMaps/SaintLazarusChurch/posx.bmp",
"EnvMaps/SaintLazarusChurch/posy.bmp",
"EnvMaps/SaintLazarusChurch/posz.bmp",
"EnvMaps/SaintLazarusChurch/negx.bmp",
"EnvMaps/SaintLazarusChurch/negy.bmp",
"EnvMaps/SaintLazarusChurch/negz.bmp"
);
}
rt.setEnvMap(env);
}
printf("REFRACTION SCENE : 1 :: Rendering...\n");
rt.render(width, height, eye2, view2, up, fov, "refraction_2.bmp");
Point3D eye3(0, 0, 1);
Vector3D view3(0, 0, -1);
printf("REFRACTION SCENE : 2 :: Rendering...\n");
rt.render(width, height, eye3, view3, up, fov, "refraction_1.bmp");
printf("REFRACTION SCENE : 1 :: Done!\n");
}
