DiscontinuousFunc<Ord>* NeighborSearch::init_ext_fn_ord(MeshFunction* fu)
{
ensure_active_segment(this);
Func<Ord>* fo1 = init_fn_ord(fu->get_edge_fn_order(active_edge));
Func<Ord>* fo2 = init_fn_ord(fu->get_edge_fn_order(active_edge));
return new DiscontinuousFunc<Ord>(fo1, fo2);
}
DiscontinuousFunc<Ord>* DiscreteProblemIntegrationOrderCalculator<Scalar>::init_ext_fn_ord(NeighborSearch<Scalar>* ns, MeshFunctionSharedPtr<Scalar> fu)
{
int inc = (fu->get_num_components() == 2) ? 1 : 0;
int central_order = fu->get_edge_fn_order(ns->active_edge) + inc;
int neighbor_order = fu->get_edge_fn_order(ns->neighbor_edge.local_num_of_edge) + inc;
return new DiscontinuousFunc<Ord>(init_fn_ord(central_order), init_fn_ord(neighbor_order));
}
scalar HcurlOrthoHP::eval_error(biform_val_t bi_fn, biform_ord_t bi_ord,
MeshFunction *sln1, MeshFunction *sln2, MeshFunction *rsln1, MeshFunction *rsln2,
RefMap *rv1, RefMap *rv2, RefMap *rrv1, RefMap *rrv2)
{
// determine the integration order
int inc = (rsln1->get_num_components() == 2) ? 1 : 0;
Func<Ord>* ou = init_fn_ord(rsln1->get_fn_order() + inc);
Func<Ord>* ov = init_fn_ord(rsln2->get_fn_order() + inc);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = bi_ord(1, &fake_wt, ou, ov, fake_e, NULL);
int order = rrv1->get_inv_ref_order();
order += o.get_order();
limit_order(order);
ou->free_ord(); delete ou;
ov->free_ord(); delete ov;
delete fake_e;
// eval the form
Quad2D* quad = sln1->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rrv1, order);
double* jac = rrv1->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values and values of external functions
Func<scalar>* err1 = init_fn(sln1, rv1, order);
Func<scalar>* err2 = init_fn(sln2, rv2, order);
Func<scalar>* v1 = init_fn(rsln1, rrv1, order);
Func<scalar>* v2 = init_fn(rsln2, rrv2, order);
for (int i = 0; i < np; i++)
{
err1->val0[i] = err1->val0[i] - v1->val0[i];
err1->val1[i] = err1->val1[i] - v1->val1[i];
err1->curl[i] = err1->curl[i] - v1->curl[i];
err2->val0[i] = err2->val0[i] - v2->val0[i];
err2->val1[i] = err2->val1[i] - v2->val1[i];
err2->curl[i] = err2->curl[i] - v2->curl[i];
}
scalar res = bi_fn(np, jwt, err1, err2, e, NULL);
e->free(); delete e;
delete [] jwt;
err1->free_fn(); delete err1;
err2->free_fn(); delete err2;
v1->free_fn(); delete v1;
v2->free_fn(); delete v2;
return res;
}
DiscontinuousFunc<Ord>* NeighborSearch::init_ext_fn_ord(Solution* fu)
{
ensure_active_segment(this);
int inc = (fu->get_num_components() == 2) ? 1 : 0;
int central_order = fu->get_edge_fn_order(active_edge) + inc;
int neighbor_order = fu->get_edge_fn_order(neighbor_edge) + inc;
return new DiscontinuousFunc<Ord>(init_fn_ord(central_order), init_fn_ord(neighbor_order));
}
int DiscreteProblemIntegrationOrderCalculator<Scalar>::calc_order_dg_matrix_form(const Hermes::vector<SpaceSharedPtr<Scalar> >& spaces, Traverse::State* current_state, MatrixFormDG<Scalar>* mfDG, RefMap** current_refmaps, Solution<Scalar>** current_u_ext, bool neighbor_supp_u, bool neighbor_supp_v, NeighborSearch<Scalar>** neighbor_searches)
{
NeighborSearch<Scalar>* nbs_u = neighbor_searches[mfDG->j];
unsigned int prev_size = this->rungeKutta ? this->RK_original_spaces_count : mfDG->wf->get_neq() - mfDG->u_ext_offset;
// Order to return.
int order = 0;
DiscontinuousFunc<Hermes::Ord>** u_ext_ord = current_u_ext == nullptr ? nullptr : new DiscontinuousFunc<Hermes::Ord>*[this->rungeKutta ? this->RK_original_spaces_count : mfDG->wf->get_neq() - mfDG->u_ext_offset];
if (current_u_ext)
for (int i = 0; i < prev_size; i++)
if (current_u_ext[i + mfDG->u_ext_offset])
u_ext_ord[i] = init_ext_fn_ord(nbs_u, current_u_ext[i + mfDG->u_ext_offset]);
else
u_ext_ord[i] = new DiscontinuousFunc<Ord>(init_fn_ord(0), false, false);
// Order of additional external functions.
DiscontinuousFunc<Ord>** ext_ord = nullptr;
Hermes::vector<MeshFunctionSharedPtr<Scalar> > ext_ord_fns = mfDG->ext.size() ? mfDG->ext.size() : mfDG->wf->ext.size();
if (ext_ord_fns.size() > 0)
ext_ord = init_ext_fns_ord(ext_ord_fns, neighbor_searches);
// Order of shape functions.
int max_order_j = spaces[mfDG->j]->get_element_order(current_state->e[mfDG->j]->id);
int max_order_i = spaces[mfDG->i]->get_element_order(current_state->e[mfDG->i]->id);
if (H2D_GET_V_ORDER(max_order_i) > H2D_GET_H_ORDER(max_order_i))
max_order_i = H2D_GET_V_ORDER(max_order_i);
else
max_order_i = H2D_GET_H_ORDER(max_order_i);
if (H2D_GET_V_ORDER(max_order_j) > H2D_GET_H_ORDER(max_order_j))
max_order_j = H2D_GET_V_ORDER(max_order_j);
else
max_order_j = H2D_GET_H_ORDER(max_order_j);
// Order of shape functions.
DiscontinuousFunc<Ord>* ou = new DiscontinuousFunc<Ord>(init_fn_ord(max_order_j), neighbor_supp_u);
DiscontinuousFunc<Ord>* ov = new DiscontinuousFunc<Ord>(init_fn_ord(max_order_i), neighbor_supp_v);
// Order of geometric attributes (eg. for multiplication of a solution with coordinates, normals, etc.).
Geom<Hermes::Ord> tmp;
double fake_wt = 1.0;
// Total order of the matrix form.
Ord o = mfDG->ord(1, &fake_wt, u_ext_ord, ou, ov, &tmp, ext_ord);
adjust_order_to_refmaps(mfDG, order, &o, current_refmaps);
// Cleanup.
deinit_ext_fns_ord(mfDG, u_ext_ord, ext_ord);
delete ou;
delete ov;
return order;
}
// Actual evaluation of volume matrix form (calculates integral)
scalar FeProblem::eval_form(WeakForm::MatrixFormVol *mfv, Tuple<Solution *> u_ext, PrecalcShapeset *fu, PrecalcShapeset *fv, RefMap *ru, RefMap *rv)
{
// determine the integration order
int inc = (fu->get_num_components() == 2) ? 1 : 0;
AUTOLA_OR(Func<Ord>*, oi, wf->neq);
for (int i = 0; i < wf->neq; i++) oi[i] = init_fn_ord(u_ext[i]->get_fn_order() + inc);
Func<Ord>* ou = init_fn_ord(fu->get_fn_order() + inc);
Func<Ord>* ov = init_fn_ord(fv->get_fn_order() + inc);
ExtData<Ord>* fake_ext = init_ext_fns_ord(mfv->ext);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = mfv->ord(1, &fake_wt, oi, ou, ov, fake_e, fake_ext);
int order = ru->get_inv_ref_order();
order += o.get_order();
limit_order_nowarn(order);
for (int i = 0; i < wf->neq; i++) { oi[i]->free_ord(); delete oi[i]; }
ou->free_ord(); delete ou;
ov->free_ord(); delete ov;
delete fake_e;
fake_ext->free_ord(); delete fake_ext;
// eval the form
Quad2D* quad = fu->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
if (cache_e[order] == NULL)
{
cache_e[order] = init_geom_vol(ru, order);
double* jac = ru->get_jacobian(order);
cache_jwt[order] = new double[np];
for(int i = 0; i < np; i++)
cache_jwt[order][i] = pt[i][2] * jac[i];
}
Geom<double>* e = cache_e[order];
double* jwt = cache_jwt[order];
// function values and values of external functions
AUTOLA_OR(Func<scalar>*, prev, wf->neq);
for (int i = 0; i < wf->neq; i++) prev[i] = init_fn(u_ext[i], rv, order);
Func<double>* u = get_fn(fu, ru, order);
Func<double>* v = get_fn(fv, rv, order);
ExtData<scalar>* ext = init_ext_fns(mfv->ext, rv, order);
scalar res = mfv->fn(np, jwt, prev, u, v, e, ext);
for (int i = 0; i < wf->neq; i++) { prev[i]->free_fn(); delete prev[i]; }
ext->free(); delete ext;
return res;
}
int DiscreteProblemIntegrationOrderCalculator<Scalar>::calc_order_matrix_form(const Hermes::vector<SpaceSharedPtr<Scalar> >& spaces, MatrixForm<Scalar> *form, RefMap** current_refmaps, Func<Hermes::Ord>** ext, Func<Hermes::Ord>** u_ext)
{
int order;
Func<Hermes::Ord>** local_ext = ext;
// If the user supplied custom ext functions for this form.
if (form->ext.size() > 0)
local_ext = this->init_ext_orders(form->ext, (form->u_ext_fn.size() > 0 ? form->u_ext_fn : form->wf->u_ext_fn), u_ext);
// Order of shape functions.
int max_order_j = spaces[form->j]->get_element_order(current_state->e[form->j]->id);
int max_order_i = spaces[form->i]->get_element_order(current_state->e[form->i]->id);
if (H2D_GET_V_ORDER(max_order_i) > H2D_GET_H_ORDER(max_order_i))
max_order_i = H2D_GET_V_ORDER(max_order_i);
else
max_order_i = H2D_GET_H_ORDER(max_order_i);
if (H2D_GET_V_ORDER(max_order_j) > H2D_GET_H_ORDER(max_order_j))
max_order_j = H2D_GET_V_ORDER(max_order_j);
else
max_order_j = H2D_GET_H_ORDER(max_order_j);
for (unsigned int k = 0; k < current_state->rep->nvert; k++)
{
int eo = spaces[form->i]->get_edge_order(current_state->e[form->i], k);
if (eo > max_order_i)
max_order_i = eo;
eo = spaces[form->j]->get_edge_order(current_state->e[form->j], k);
if (eo > max_order_j)
max_order_j = eo;
}
Func<Hermes::Ord>* ou = init_fn_ord(max_order_j + (spaces[form->j]->get_shapeset()->get_num_components() > 1 ? 1 : 0));
Func<Hermes::Ord>* ov = init_fn_ord(max_order_i + (spaces[form->i]->get_shapeset()->get_num_components() > 1 ? 1 : 0));
// Total order of the vector form.
double fake_wt = 1.0;
Geom<Hermes::Ord> tmp;
Hermes::Ord o = form->ord(1, &fake_wt, u_ext, ou, ov, &tmp, local_ext);
adjust_order_to_refmaps(form, order, &o, current_refmaps);
// Cleanup.
if (form->ext.size() > 0)
this->deinit_ext_orders(form->ext, (form->u_ext_fn.size() > 0 ? form->u_ext_fn : form->wf->u_ext_fn), local_ext);
delete ou;
delete ov;
return order;
}
double KellyTypeAdapt::eval_boundary_estimator(KellyTypeAdapt::ErrorEstimatorForm* err_est_form, RefMap *rm, SurfPos* surf_pos)
{
// determine the integration order
int inc = (this->sln[err_est_form->i]->get_num_components() == 2) ? 1 : 0;
Func<Ord>** oi = new Func<Ord>* [num];
for (int i = 0; i < num; i++)
oi[i] = init_fn_ord(this->sln[i]->get_edge_fn_order(surf_pos->surf_num) + inc);
// Order of additional external functions.
ExtData<Ord>* fake_ext = dp.init_ext_fns_ord(err_est_form->ext, surf_pos->surf_num);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = err_est_form->ord(1, &fake_wt, oi, oi[err_est_form->i], fake_e, fake_ext);
int order = rm->get_inv_ref_order();
order += o.get_order();
limit_order(order);
// Clean up.
for (int i = 0; i < this->num; i++)
if (oi[i] != NULL) { oi[i]->free_ord(); delete oi[i]; }
delete [] oi;
delete fake_e;
delete fake_ext;
// eval the form
Quad2D* quad = this->sln[err_est_form->i]->get_quad_2d();
int eo = quad->get_edge_points(surf_pos->surf_num, order);
double3* pt = quad->get_points(eo);
int np = quad->get_num_points(eo);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_surf(rm, surf_pos, eo);
double3* tan = rm->get_tangent(surf_pos->surf_num, eo);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * tan[i][2];
// function values
Func<scalar>** ui = new Func<scalar>* [num];
for (int i = 0; i < num; i++)
ui[i] = init_fn(this->sln[i], eo);
ExtData<scalar>* ext = dp.init_ext_fns(err_est_form->ext, rm, eo);
scalar res = boundary_scaling_const *
err_est_form->value(np, jwt, ui, ui[err_est_form->i], e, ext);
for (int i = 0; i < this->num; i++)
if (ui[i] != NULL) { ui[i]->free_fn(); delete ui[i]; }
delete [] ui;
if (ext != NULL) { ext->free(); delete ext; }
e->free(); delete e;
delete [] jwt;
return std::abs(0.5*res); // Edges are parameterized from 0 to 1 while integration weights
// are defined in (-1, 1). Thus multiplying with 0.5 to correct
// the weights.
}
double KellyTypeAdapt::eval_volumetric_estimator(KellyTypeAdapt::ErrorEstimatorForm* err_est_form, RefMap *rm)
{
// determine the integration order
int inc = (this->sln[err_est_form->i]->get_num_components() == 2) ? 1 : 0;
Func<Ord>** oi = new Func<Ord>* [num];
for (int i = 0; i < num; i++)
oi[i] = init_fn_ord(this->sln[i]->get_fn_order() + inc);
// Order of additional external functions.
ExtData<Ord>* fake_ext = dp.init_ext_fns_ord(err_est_form->ext);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = err_est_form->ord(1, &fake_wt, oi, oi[err_est_form->i], fake_e, fake_ext);
int order = rm->get_inv_ref_order();
order += o.get_order();
limit_order(order);
// Clean up.
for (int i = 0; i < this->num; i++)
if (oi[i] != NULL) { oi[i]->free_ord(); delete oi[i]; }
delete [] oi;
delete fake_e;
delete fake_ext;
// eval the form
Quad2D* quad = this->sln[err_est_form->i]->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rm, order);
double* jac = rm->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values
Func<scalar>** ui = new Func<scalar>* [num];
for (int i = 0; i < num; i++)
ui[i] = init_fn(this->sln[i], order);
ExtData<scalar>* ext = dp.init_ext_fns(err_est_form->ext, rm, order);
scalar res = volumetric_scaling_const *
err_est_form->value(np, jwt, ui, ui[err_est_form->i], e, ext);
for (int i = 0; i < this->num; i++)
if (ui[i] != NULL) { ui[i]->free_fn(); delete ui[i]; }
delete [] ui;
if (ext != NULL) { ext->free(); delete ext; }
e->free(); delete e;
delete [] jwt;
return std::abs(res);
}
// Initialize integration order for external functions
ExtData<Ord>* FeProblem::init_ext_fns_ord(std::vector<MeshFunction *> &ext)
{
ExtData<Ord>* fake_ext = new ExtData<Ord>;
fake_ext->nf = ext.size();
Func<Ord>** fake_ext_fn = new Func<Ord>*[fake_ext->nf];
for (int i = 0; i < fake_ext->nf; i++)
fake_ext_fn[i] = init_fn_ord(ext[i]->get_fn_order());
fake_ext->fn = fake_ext_fn;
return fake_ext;
}
double KellyTypeAdapt::eval_solution_norm(Adapt::MatrixFormVolError* form, RefMap *rm, MeshFunction* sln)
{
// determine the integration order
int inc = (sln->get_num_components() == 2) ? 1 : 0;
Func<Ord>* ou = init_fn_ord(sln->get_fn_order() + inc);
double fake_wt = 1.0;
Geom<Ord>* fake_e = init_geom_ord();
Ord o = form->ord(1, &fake_wt, NULL, ou, ou, fake_e, NULL);
int order = rm->get_inv_ref_order();
order += o.get_order();
Solution *sol = static_cast<Solution *>(sln);
if(sol && sol->get_type() == HERMES_EXACT) {
limit_order_nowarn(order);
}
else {
limit_order(order);
}
ou->free_ord(); delete ou;
delete fake_e;
// eval the form
Quad2D* quad = sln->get_quad_2d();
double3* pt = quad->get_points(order);
int np = quad->get_num_points(order);
// init geometry and jacobian*weights
Geom<double>* e = init_geom_vol(rm, order);
double* jac = rm->get_jacobian(order);
double* jwt = new double[np];
for(int i = 0; i < np; i++)
jwt[i] = pt[i][2] * jac[i];
// function values
Func<scalar>* u = init_fn(sln, order);
scalar res = form->value(np, jwt, NULL, u, u, e, NULL);
e->free(); delete e;
delete [] jwt;
u->free_fn(); delete u;
return std::abs(res);
}