int main () {
//===============================================================//
//========= PROBLEM SETUP =======================//
//===============================================================//
int d = 2;
int d_ = 2;
int j0 = 2;
//getchar();
/// Basis initialization
TrialBasis_Time basis_per(d,d_,j0);
TestBasis_Time basis_int(d,d_,j0);
Basis_Space basis_intbc(d,0);
basis_intbc.enforceBoundaryCondition<DirichletBC>();
Basis2D_Trial basis2d_trial(basis_per,basis_intbc);
Basis2D_Test basis2d_test(basis_int,basis_intbc);
/// Initialization of operators
DenseVectorT no_singPts;
// Bilinear Forms
Convection1D_Time ConvectionBil_t(basis_per, basis_int);
Identity1D_Time IdentityBil_t(basis_per, basis_int);
Identity1D_Space IdentityBil_x(basis_intbc, basis_intbc);
Laplace1D_Space LaplaceBil_x(basis_intbc, basis_intbc);
Convection1D_Space ConvectionBil_x(basis_intbc, basis_intbc);
RefConvection1D_Time RefConvectionBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefIdentity1D_Time RefIdentityBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefIdentity1D_Space RefIdentityBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefLaplace1D_Space RefLaplaceBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefConvection1D_Space RefConvectionBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
// Transposed Bilinear Forms
TranspConvection1D_Time TranspConvectionBil_t(basis_per, basis_int);
TranspIdentity1D_Time TranspIdentityBil_t(basis_per, basis_int);
TranspIdentity1D_Space TranspIdentityBil_x(basis_intbc, basis_intbc);
TranspLaplace1D_Space TranspLaplaceBil_x(basis_intbc, basis_intbc);
TranspConvection1D_Space TranspConvectionBil_x(basis_intbc, basis_intbc);
RefTranspConvection1D_Time RefTranspConvectionBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefTranspIdentity1D_Time RefTranspIdentityBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefTranspIdentity1D_Space RefTranspIdentityBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefTranspLaplace1D_Space RefTranspLaplaceBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefTranspConvection1D_Space RefTranspConvectionBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
/// Initialization of local operator
LOp_Conv1D_Time lOp_Conv1D_t (basis_int, basis_per, RefConvectionBil_t, ConvectionBil_t);
LOp_Id1D_Time lOp_Id1D_t (basis_int, basis_per, RefIdentityBil_t, IdentityBil_t);
LOp_Id1D_Space lOp_Id1D_x (basis_intbc, basis_intbc, RefIdentityBil_x, IdentityBil_x);
LOp_Lapl1D_Space lOp_Lapl1D_x (basis_intbc, basis_intbc, RefLaplaceBil_x, LaplaceBil_x);
LOp_Conv1D_Space lOp_Conv1D_x (basis_intbc, basis_intbc, RefConvectionBil_x, ConvectionBil_x);
LOpT_Conv1D_Time lOpT_Conv1D_t(basis_per, basis_int, RefTranspConvectionBil_t, TranspConvectionBil_t);
LOpT_Id1D_Time lOpT_Id1D_t (basis_per, basis_int, RefTranspIdentityBil_t, TranspIdentityBil_t);
LOpT_Id1D_Space lOpT_Id1D_x (basis_intbc, basis_intbc, RefTranspIdentityBil_x, TranspIdentityBil_x);
LOpT_Lapl1D_Space lOpT_Lapl1D_x(basis_intbc, basis_intbc, RefTranspLaplaceBil_x, TranspLaplaceBil_x);
LOpT_Conv1D_Space lOpT_Conv1D_x(basis_intbc, basis_intbc, RefTranspConvectionBil_x, TranspConvectionBil_x);
LOp_Conv_Id_2D localConvectionIdentityOp2D (lOp_Conv1D_t, lOp_Id1D_x);
LOp_Id_Id_2D localIdentityIdentityOp2D (lOp_Id1D_t, lOp_Id1D_x);
LOp_Id_Lapl_2D localIdentityLaplaceOp2D (lOp_Id1D_t, lOp_Lapl1D_x);
LOp_Id_Conv_2D localIdentityConvectionOp2D (lOp_Id1D_t, lOp_Conv1D_x);
LOpT_Conv_Id_2D transpLocalConvectionIdentityOp2D (lOpT_Conv1D_t, lOpT_Id1D_x);
LOpT_Id_Id_2D transpLocalIdentityIdentityOp2D (lOpT_Id1D_t, lOpT_Id1D_x);
LOpT_Id_Lapl_2D transpLocalIdentityLaplaceOp2D (lOpT_Id1D_t, lOpT_Lapl1D_x);
LOpT_Id_Conv_2D transpLocalIdentityConvectionOp2D (lOpT_Id1D_t, lOpT_Conv1D_x);
localConvectionIdentityOp2D.setJ(9);
localIdentityIdentityOp2D.setJ(9);
localIdentityLaplaceOp2D.setJ(9);
localIdentityConvectionOp2D.setJ(9);
transpLocalConvectionIdentityOp2D.setJ(9);
transpLocalIdentityIdentityOp2D.setJ(9);
transpLocalIdentityLaplaceOp2D.setJ(9);
transpLocalIdentityConvectionOp2D.setJ(9);
// Affine Decompositions:
// Left Hand Side -> mu's are _NOT_ evaluated (only global consts!!)
vector<ThetaStructure<ParamType>::ThetaFct> lhs_theta_fcts;
lhs_theta_fcts.push_back(no_theta);
lhs_theta_fcts.push_back(theta_lapl);
lhs_theta_fcts.push_back(theta_conv);
lhs_theta_fcts.push_back(theta_reac);
ThetaStructure<ParamType> lhs_theta(lhs_theta_fcts);
vector<AbstractLocalOperator2D<T>* > lhs_ops, lhs_opsT;
lhs_ops.push_back(&localConvectionIdentityOp2D);
lhs_ops.push_back(&localIdentityLaplaceOp2D);
lhs_ops.push_back(&localIdentityConvectionOp2D);
lhs_ops.push_back(&localIdentityIdentityOp2D);
lhs_opsT.push_back(&transpLocalConvectionIdentityOp2D);
lhs_opsT.push_back(&transpLocalIdentityLaplaceOp2D);
lhs_opsT.push_back(&transpLocalIdentityConvectionOp2D);
lhs_opsT.push_back(&transpLocalIdentityIdentityOp2D);
Affine_Op_2D affine_lhs(lhs_theta, lhs_ops);
Affine_Op_2D affine_lhs_T(lhs_theta, lhs_opsT);
/// Initialization of preconditioner
LeftPrec2D leftPrec(basis2d_test);
RightPrec2D rightPrec(basis2d_trial);
NoPrec2D noPrec;
/// Initialization of rhs
/// Right Hand Side:
/// No Singular Supports in both dimensions
int n = 20;
DenseVectorT sing_support_t(n+1), sing_support_x(n+1);
int i0 = sing_support_t.firstIndex();
for(int i = 0; i <= n; ++i){
sing_support_t(i0 + i) = i/(double)n;
sing_support_x(i0 + i) = i/(double)n;
}
/// Forcing Functions
Function2D<T> F_fct(curve, sing_support_t, sing_support_x);
RhsIntegral2D rhs(basis2d_test, F_fct, 10);
AdaptiveRhs2D F(rhs,noPrec);
//===============================================================//
//=============== AWGM =========================================//
//===============================================================//
/* AWGM PG Parameters Default Values
double tol = 5e-03;
double alpha = 0.7;
size_t max_its = 100;
size_t max_basissize = 400000;
bool reset_res = false;
StableExpansionVersion stable_exp_u = FullExpansion;
StableExpansionVersion stable_exp_res = FullExpansion;
ResidualConstruction res_construction = SimpleStableExpansion;
bool print_info = true;
bool verbose = true;
bool plot_solution = false;
bool verbose_extra = false; //(print added wavelet indizes)
size_t hashmapsize_trial = 10;
size_t hashmapsize_test = 10;
std::string info_filename = "awgm_cgls_conv_info.txt";
std::string plot_filename = "awgm_cgls_u_plot";
bool write_intermediary_solutions = false;
std::string intermediary_solutions_filename = "awgm_cgls_u";
*/
/* IS Parameters Default Values
bool adaptive_tol = true;
size_t max_its = 100;
double init_tol = 0.001;
double res_reduction = 0.01;
double absolute_tol = 1e-8;
bool verbose = true;
*/
// MultitreeAWGM with default values
//MT_AWGM multitree_awgm(basis2d_trial, basis2d_test, localOperator2D, transLocalOperator2D,
// F, rightPrec, leftPrec);
// If you want other parameters
AWGM_PG_Parameters awgm_parameters;
IS_Parameters cgls_parameters;
// .... set them here:
awgm_parameters.tol = 0.0001;
awgm_parameters.stable_exp_u = OnlyTemporalHWExpansion; //WoMixedHWExpansion;
awgm_parameters.stable_exp_res = OnlyTemporalHWExpansion;
awgm_parameters.res_construction = DoubleStableExpansion; // ParallelMTCones
awgm_parameters.plot_solution = false;
awgm_parameters.verbose_extra = true;
awgm_parameters.info_filename = "awgm_ExCDRCurve_mw_DoubleExp_conv_info.txt";
awgm_parameters.plot_filename = "awgm_ExCDRCurve_mw_DoubleExp_u_plot";
awgm_parameters.write_intermediary_solutions = true;
awgm_parameters.intermediary_solutions_filename = "awgm_ExCDRCurve_mw_DoubleExp_u_Iteration";
cgls_parameters.adaptive_tol = true;
cgls_parameters.init_tol = 1e-4;
cgls_parameters.res_reduction = 0.01;
cgls_parameters.max_its = 700;
// MT_AWGM multitree_awgm(basis2d_trial, basis2d_test, localOperator2D, transpLocalOperator2D,
// F, rightPrec, leftPrec, awgm_parameters, cgls_parameters);
MT_AWGM multitree_awgm(basis2d_trial, basis2d_test, affine_lhs, affine_lhs_T,
F, rightPrec, leftPrec, awgm_parameters, cgls_parameters);
// Parameter is ignored anyway!!
ParamType mu = {{0., -9.}};
lhs_theta.set_param(mu);
multitree_awgm.awgm_params.print();
multitree_awgm.is_params.print();
multitree_awgm.set_sol(dummy);
/// Initialization of solution vector and initial index sets
Coefficients<Lexicographical,T,Index2D> u;
T gamma = 0.2;
IndexSet<Index2D> LambdaTrial, LambdaTest;
getSparseGridIndexSet(basis2d_trial,LambdaTrial,2,0,gamma);
getSparseGridIndexSet(basis2d_test ,LambdaTest ,2,1,gamma);
Timer time;
time.start();
multitree_awgm.solve(u, LambdaTrial, LambdaTest);
time.stop();
cout << "Solution took " << time.elapsed() << " seconds" << endl;
saveCoeffVector2D(u, basis2d_trial, "awgm_ExCDRCurve_mw_DoubleExp_u.txt");
return 0;
}
int main (int argc, char* argv[]) {
if(argc != 2){
cerr << "USAGE: " << argv[0] << " Jmax (= max. level of sparse grid)" << endl;
exit(1);
}
//===============================================================//
//========= PROBLEM SETUP =======================//
//===============================================================//
int d = 2;
int d_ = 2;
int j0 = 2;
size_t Jmax = atoi(argv[1]);
//getchar();
/// Basis initialization
TrialBasis_Time basis_per(d,d_,j0);
TestBasis_Time basis_int(d,d_,j0);
Basis_Space basis_intbc(d,0);
basis_intbc.enforceBoundaryCondition<DirichletBC>();
Basis2D_Trial basis2d_trial(basis_per,basis_intbc);
Basis2D_Test basis2d_test(basis_int,basis_intbc);
/// Initialization of operator
// Bilinear Forms
Convection1D_Time ConvectionBil_t(basis_per, basis_int);
Identity1D_Time IdentityBil_t(basis_per, basis_int);
Identity1D_Space IdentityBil_x(basis_intbc, basis_intbc);
Laplace1D_Space LaplaceBil_x(basis_intbc, basis_intbc);
RefConvection1D_Time RefConvectionBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefIdentity1D_Time RefIdentityBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefIdentity1D_Space RefIdentityBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefLaplace1D_Space RefLaplaceBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
// Transposed Bilinear Forms
TranspConvection1D_Time TranspConvectionBil_t(basis_per, basis_int);
TranspIdentity1D_Time TranspIdentityBil_t(basis_per, basis_int);
TranspIdentity1D_Space TranspIdentityBil_x(basis_intbc, basis_intbc);
TranspLaplace1D_Space TranspLaplaceBil_x(basis_intbc, basis_intbc);
RefTranspConvection1D_Time RefTranspConvectionBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefTranspIdentity1D_Time RefTranspIdentityBil_t(basis_per.refinementbasis, basis_int.refinementbasis);
RefTranspIdentity1D_Space RefTranspIdentityBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
RefTranspLaplace1D_Space RefTranspLaplaceBil_x(basis_intbc.refinementbasis, basis_intbc.refinementbasis);
/// Initialization of local operator
LOp_Conv1D_Time lOp_Conv1D_t(basis_int, basis_per, RefConvectionBil_t, ConvectionBil_t);
LOp_Id1D_Time lOp_Id1D_t (basis_int, basis_per, RefIdentityBil_t, IdentityBil_t);
LOp_Id1D_Space lOp_Id1D_x (basis_intbc, basis_intbc, RefIdentityBil_x, IdentityBil_x);
LOp_Lapl1D_Space lOp_Lapl1D_x(basis_intbc, basis_intbc, RefLaplaceBil_x, LaplaceBil_x);
LOpT_Conv1D_Time lOpT_Conv1D_t(basis_per, basis_int, RefTranspConvectionBil_t, TranspConvectionBil_t);
LOpT_Id1D_Time lOpT_Id1D_t (basis_per, basis_int, RefTranspIdentityBil_t, TranspIdentityBil_t);
LOpT_Id1D_Space lOpT_Id1D_x (basis_intbc, basis_intbc, RefTranspIdentityBil_x, TranspIdentityBil_x);
LOpT_Lapl1D_Space lOpT_Lapl1D_x(basis_intbc, basis_intbc, RefTranspLaplaceBil_x, TranspLaplaceBil_x);
LOp_Conv_Id_2D localConvectionIdentityOp2D(lOp_Conv1D_t, lOp_Id1D_x);
LOp_Id_Lapl_2D localIdentityLaplaceOp2D(lOp_Id1D_t, lOp_Lapl1D_x);
LOpT_Conv_Id_2D transpLocalConvectionIdentityOp2D(lOpT_Conv1D_t, lOpT_Id1D_x);
LOpT_Id_Lapl_2D transpLocalIdentityLaplaceOp2D(lOpT_Id1D_t, lOpT_Lapl1D_x);
localConvectionIdentityOp2D.setJ(9);
localIdentityLaplaceOp2D.setJ(9);
transpLocalConvectionIdentityOp2D.setJ(9);
transpLocalIdentityLaplaceOp2D.setJ(9);
// Use CompoundLocalOperator2D
COp_Heat localOperator2D(localConvectionIdentityOp2D,localIdentityLaplaceOp2D);
COpT_Heat transpLocalOperator2D(transpLocalConvectionIdentityOp2D,transpLocalIdentityLaplaceOp2D);
// Use FlexibleCompoundLocalOperator2D
// vector<AbstractLocalOperator2D<T>* > localOperatorVec, transpLocalOperatorVec;
// localOperatorVec.push_back(&localConvectionIdentityOp2D);
// localOperatorVec.push_back(&localIdentityLaplaceOp2D);
// transpLocalOperatorVec.push_back(&transpLocalConvectionIdentityOp2D);
// transpLocalOperatorVec.push_back(&transpLocalIdentityLaplaceOp2D);
// FlexibleCompoundLocalOperator2D localOperator2D(localOperatorVec);
// FlexibleCompoundLocalOperator2D transpLocalOperator2D(transpLocalOperatorVec);
/// Initialization of preconditioner
LeftPrec2D leftPrec(basis2d_test);
RightPrec2D rightPrec(basis2d_trial);
NoPrec2D noPrec;
/// Initialization of rhs
/// Right Hand Side:
/// No Singular Supports in both dimensions
DenseVectorT sing_support_x;
DenseVectorT sing_support_t(n+1);
for(size_t i = 0; i <= n; ++i){
sing_support_t(i+1) = i*l;
}
/// Forcing Functions
SeparableFunction2D<T> F_fct(f_t, sing_support_t, f_x, sing_support_x);
/// Peaks: points and corresponding coefficients
/// (heights of jumps in derivatives)
FullColMatrixT nodeltas;
SeparableRhsIntegral2D rhs(basis2d_test, F_fct, nodeltas, nodeltas, 20);
SeparableRhs F(rhs,noPrec);
//===============================================================//
//=============== AWGM =========================================//
//===============================================================//
/* AWGM PG Parameters Default Values
double tol = 5e-03;
double alpha = 0.7;
size_t max_its = 100;
size_t max_basissize = 400000;
bool reset_res = false;
bool print_info = true;
bool verbose = true;
bool plot_solution = false;
bool verbose_extra = false; //(print added wavelet indizes)
size_t hashmapsize_trial = 10;
size_t hashmapsize_test = 10;
std::string info_filename = "awgm_cgls_conv_info.txt";
std::string plot_filename = "awgm_cgls_u_plot";
bool write_intermediary_solutions = false;
std::string intermediary_solutions_filename = "awgm_cgls_u";
*/
/* IS Parameters Default Values
bool adaptive_tol = true;
size_t max_its = 100;
double init_tol = 0.001;
double res_reduction = 0.01;
double absolute_tol = 1e-8;
bool verbose = true;
*/
// MultitreeAWGM with default values
//MT_AWGM multitree_awgm(basis2d_trial, basis2d_test, localOperator2D, transLocalOperator2D,
// F, rightPrec, leftPrec);
// If you want other parameters
AWGM_PG_Parameters awgm_parameters;
IS_Parameters cgls_parameters;
// .... set them here:
awgm_parameters.max_its = 0;
awgm_parameters.tol = 1e-04;
awgm_parameters.plot_solution = false;
awgm_parameters.verbose_extra = false;
awgm_parameters.info_filename = "awgm_ExSaw_SG_mv_conv_info.txt";
awgm_parameters.plot_filename = "awgm_ExSaw_SG_mv_u_plot";
awgm_parameters.write_intermediary_solutions = true;
awgm_parameters.max_basissize = 1000000;
cgls_parameters.adaptive_tol = true;
cgls_parameters.init_tol = 1e-4;
cgls_parameters.res_reduction = 0.01;
cgls_parameters.max_its = 700;
MT_AWGM multitree_awgm(basis2d_trial, basis2d_test, localOperator2D, transpLocalOperator2D,
F, rightPrec, leftPrec, awgm_parameters, cgls_parameters);
multitree_awgm.awgm_params.print();
multitree_awgm.is_params.print();
multitree_awgm.set_sol(dummy);
for(size_t J = 2; J < Jmax; ++J){
stringstream filename;
filename << "awgm_ExSaw_SG_mv_u_J_" << J;
multitree_awgm.awgm_params.intermediary_solutions_filename = filename.str();
/// Initialization of solution vector and initial index sets
Coefficients<Lexicographical,T,Index2D> u;
T gamma = 0.2;
IndexSet<Index2D> LambdaTrial, LambdaTest;
getSparseGridIndexSet(basis2d_trial,LambdaTrial,J,0,gamma);
getSparseGridIndexSet(basis2d_test ,LambdaTest ,J,1,gamma);
Timer time;
time.start();
multitree_awgm.solve(u, LambdaTrial, LambdaTest);
time.stop();
cout << "Solution took " << time.elapsed() << " seconds" << endl;
}
return 0;
}
int main () {
//===============================================================//
//========= PROBLEM SETUP =======================//
//===============================================================//
int d = 4;
int j0 = 2;
cout << "Wavelets: d = " << d << ", j0 = " << j0 << endl << endl;
/// Basis initialization
_Basis basis(d, j0);
Basis2D basis2d(basis, basis);
/*
for (int i = 1; i<= 6; ++i) {
DataType u;
std::string snapshot;
std::string plot;
snapshot = "training_data_toy/snap/snap_";
plot = "plot_";
snapshot += std::to_string(i);
plot += std::to_string(i);
snapshot += ".txt";
std::cout << "Reading snapshot from file " << snapshot << std::endl;
std::cout << "Printing plot to file " << plot << std::endl;
readCoeffVector2D(u, snapshot.c_str());
precon _p;
plot2D(basis2d, u, _p,
zero,
0., 1.,
0., 1.,
1e-02,
plot.c_str());
}
exit(0);
*/
/// Initialization of operators
DenseVectorT no_singPts;
Function<T> zero_Fct(zero_fct,no_singPts);
// Bilinear Forms
Identity1D IdentityBil(basis);
Laplace1D LaplaceBil(basis);
RefIdentity1D RefIdentityBil(basis.refinementbasis);
RefLaplace1D RefLaplaceBil(basis.refinementbasis);
/// Initialization of local operator
LOp_Id1D lOp_Id1D (basis, basis, RefIdentityBil, IdentityBil);
LOp_Lapl1D lOp_Lapl1D (basis, basis, RefLaplaceBil, LaplaceBil);
LOp_Id_Id_2D localIdentityIdentityOp2D (lOp_Id1D, lOp_Id1D);
LOp_Id_Lapl_2D localIdentityLaplaceOp2D (lOp_Id1D, lOp_Lapl1D);
LOp_Lapl_Id_2D localLaplaceIdentityOp2D (lOp_Lapl1D, lOp_Id1D);
localIdentityIdentityOp2D.setJ(9);
localIdentityLaplaceOp2D.setJ(9);
localLaplaceIdentityOp2D.setJ(9);
/// Initialization of preconditioner
Prec2D prec(basis2d);
NoPrec2D noPrec;
/// Initialization of rhs
/// Right Hand Side:
/// No Singular Supports in both dimensions
DenseVectorT sing_support;
/// Forcing Functions
Function2D<T> F1_Fct(f1, sing_support, sing_support);
Function2D<T> F2_Fct(f2, sing_support, sing_support);
Function2D<T> F3_Fct(f3, sing_support, sing_support);
Function2D<T> F4_Fct(f4, sing_support, sing_support);
Function2D<T> F5_Fct(f5, sing_support, sing_support);
Function2D<T> F6_Fct(f6, sing_support, sing_support);
Function2D<T> F7_Fct(f7, sing_support, sing_support);
Function2D<T> F8_Fct(f8, sing_support, sing_support);
Function2D<T> F9_Fct(f9, sing_support, sing_support);
Function2D<T> F10_Fct(f10, sing_support, sing_support);
Function2D<T> F11_Fct(f11, sing_support, sing_support);
Function2D<T> F12_Fct(f12, sing_support, sing_support);
Function2D<T> F13_Fct(f13, sing_support, sing_support);
Function2D<T> F14_Fct(f14, sing_support, sing_support);
Function2D<T> F15_Fct(f15, sing_support, sing_support);
Function2D<T> F16_Fct(f16, sing_support, sing_support);
Function2D<T> F17_Fct(f17, sing_support, sing_support);
Function2D<T> F18_Fct(f18, sing_support, sing_support);
Function2D<T> F19_Fct(f19, sing_support, sing_support);
Function2D<T> F20_Fct(f20, sing_support, sing_support);
Function2D<T> F21_Fct(f21, sing_support, sing_support);
Function2D<T> F22_Fct(f22, sing_support, sing_support);
Function2D<T> F23_Fct(f23, sing_support, sing_support);
Function2D<T> F24_Fct(f24, sing_support, sing_support);
Function2D<T> F25_Fct(f25, sing_support, sing_support);
Function2D<T> F26_Fct(f26, sing_support, sing_support);
Function2D<T> F27_Fct(f27, sing_support, sing_support);
Function2D<T> F28_Fct(f28, sing_support, sing_support);
Function2D<T> F29_Fct(f29, sing_support, sing_support);
Function2D<T> F30_Fct(f30, sing_support, sing_support);
Function2D<T> F31_Fct(f31, sing_support, sing_support);
Function2D<T> F32_Fct(f32, sing_support, sing_support);
Function2D<T> F33_Fct(f33, sing_support, sing_support);
Function2D<T> F34_Fct(f34, sing_support, sing_support);
Function2D<T> F35_Fct(f35, sing_support, sing_support);
Function2D<T> F36_Fct(f36, sing_support, sing_support);
Function2D<T> F37_Fct(f37, sing_support, sing_support);
Function2D<T> F38_Fct(f38, sing_support, sing_support);
Function2D<T> F39_Fct(f39, sing_support, sing_support);
Function2D<T> F40_Fct(f40, sing_support, sing_support);
Function2D<T> F41_Fct(f41, sing_support, sing_support);
Function2D<T> F42_Fct(f42, sing_support, sing_support);
Function2D<T> F43_Fct(f43, sing_support, sing_support);
Function2D<T> F44_Fct(f44, sing_support, sing_support);
Function2D<T> F45_Fct(f45, sing_support, sing_support);
Function2D<T> F46_Fct(f46, sing_support, sing_support);
Function2D<T> F47_Fct(f47, sing_support, sing_support);
Function2D<T> F48_Fct(f48, sing_support, sing_support);
Function2D<T> F49_Fct(f49, sing_support, sing_support);
RhsIntegral2D rhs_1(basis2d, F1_Fct, 100);
RhsIntegral2D rhs_2(basis2d, F2_Fct, 100);
RhsIntegral2D rhs_3(basis2d, F3_Fct, 100);
RhsIntegral2D rhs_4(basis2d, F4_Fct, 100);
RhsIntegral2D rhs_5(basis2d, F5_Fct, 100);
RhsIntegral2D rhs_6(basis2d, F6_Fct, 100);
RhsIntegral2D rhs_7(basis2d, F7_Fct, 100);
RhsIntegral2D rhs_8(basis2d, F8_Fct, 100);
RhsIntegral2D rhs_9(basis2d, F9_Fct, 100);
RhsIntegral2D rhs_10(basis2d, F10_Fct, 100);
RhsIntegral2D rhs_11(basis2d, F11_Fct, 100);
RhsIntegral2D rhs_12(basis2d, F12_Fct, 100);
RhsIntegral2D rhs_13(basis2d, F13_Fct, 100);
RhsIntegral2D rhs_14(basis2d, F14_Fct, 100);
RhsIntegral2D rhs_15(basis2d, F15_Fct, 100);
RhsIntegral2D rhs_16(basis2d, F16_Fct, 100);
RhsIntegral2D rhs_17(basis2d, F17_Fct, 100);
RhsIntegral2D rhs_18(basis2d, F18_Fct, 100);
RhsIntegral2D rhs_19(basis2d, F19_Fct, 100);
RhsIntegral2D rhs_20(basis2d, F20_Fct, 100);
RhsIntegral2D rhs_21(basis2d, F21_Fct, 100);
RhsIntegral2D rhs_22(basis2d, F22_Fct, 100);
RhsIntegral2D rhs_23(basis2d, F23_Fct, 100);
RhsIntegral2D rhs_24(basis2d, F24_Fct, 100);
RhsIntegral2D rhs_25(basis2d, F25_Fct, 100);
RhsIntegral2D rhs_26(basis2d, F26_Fct, 100);
RhsIntegral2D rhs_27(basis2d, F27_Fct, 100);
RhsIntegral2D rhs_28(basis2d, F28_Fct, 100);
RhsIntegral2D rhs_29(basis2d, F29_Fct, 100);
RhsIntegral2D rhs_30(basis2d, F30_Fct, 100);
RhsIntegral2D rhs_31(basis2d, F31_Fct, 100);
RhsIntegral2D rhs_32(basis2d, F32_Fct, 100);
RhsIntegral2D rhs_33(basis2d, F33_Fct, 100);
RhsIntegral2D rhs_34(basis2d, F34_Fct, 100);
RhsIntegral2D rhs_35(basis2d, F35_Fct, 100);
RhsIntegral2D rhs_36(basis2d, F36_Fct, 100);
RhsIntegral2D rhs_37(basis2d, F37_Fct, 100);
RhsIntegral2D rhs_38(basis2d, F38_Fct, 100);
RhsIntegral2D rhs_39(basis2d, F39_Fct, 100);
RhsIntegral2D rhs_40(basis2d, F40_Fct, 100);
RhsIntegral2D rhs_41(basis2d, F41_Fct, 100);
RhsIntegral2D rhs_42(basis2d, F42_Fct, 100);
RhsIntegral2D rhs_43(basis2d, F43_Fct, 100);
RhsIntegral2D rhs_44(basis2d, F44_Fct, 100);
RhsIntegral2D rhs_45(basis2d, F45_Fct, 100);
RhsIntegral2D rhs_46(basis2d, F46_Fct, 100);
RhsIntegral2D rhs_47(basis2d, F47_Fct, 100);
RhsIntegral2D rhs_48(basis2d, F48_Fct, 100);
RhsIntegral2D rhs_49(basis2d, F49_Fct, 100);
Rhs F1(rhs_1,noPrec);
Rhs F2(rhs_2,noPrec);
Rhs F3(rhs_3,noPrec);
Rhs F4(rhs_4,noPrec);
Rhs F5(rhs_5,noPrec);
Rhs F6(rhs_6,noPrec);
Rhs F7(rhs_7,noPrec);
Rhs F8(rhs_8,noPrec);
Rhs F9(rhs_9,noPrec);
Rhs F10(rhs_10,noPrec);
Rhs F11(rhs_11,noPrec);
Rhs F12(rhs_12,noPrec);
Rhs F13(rhs_13,noPrec);
Rhs F14(rhs_14,noPrec);
Rhs F15(rhs_15,noPrec);
Rhs F16(rhs_16,noPrec);
Rhs F17(rhs_17,noPrec);
Rhs F18(rhs_18,noPrec);
Rhs F19(rhs_19,noPrec);
Rhs F20(rhs_20,noPrec);
Rhs F21(rhs_21,noPrec);
Rhs F22(rhs_22,noPrec);
Rhs F23(rhs_23,noPrec);
Rhs F24(rhs_24,noPrec);
Rhs F25(rhs_25,noPrec);
Rhs F26(rhs_26,noPrec);
Rhs F27(rhs_27,noPrec);
Rhs F28(rhs_28,noPrec);
Rhs F29(rhs_29,noPrec);
Rhs F30(rhs_30,noPrec);
Rhs F31(rhs_31,noPrec);
Rhs F32(rhs_32,noPrec);
Rhs F33(rhs_33,noPrec);
Rhs F34(rhs_34,noPrec);
Rhs F35(rhs_35,noPrec);
Rhs F36(rhs_36,noPrec);
Rhs F37(rhs_37,noPrec);
Rhs F38(rhs_38,noPrec);
Rhs F39(rhs_39,noPrec);
Rhs F40(rhs_40,noPrec);
Rhs F41(rhs_41,noPrec);
Rhs F42(rhs_42,noPrec);
Rhs F43(rhs_43,noPrec);
Rhs F44(rhs_44,noPrec);
Rhs F45(rhs_45,noPrec);
Rhs F46(rhs_46,noPrec);
Rhs F47(rhs_47,noPrec);
Rhs F48(rhs_48,noPrec);
Rhs F49(rhs_49,noPrec);
//===============================================================//
//=============== RB SETUP =====================================//
//===============================================================//
// Affine Decompositions:
// Left Hand Side
vector<ThetaStructure<ParamType>::ThetaFct> lhs_theta_fcts;
lhs_theta_fcts.push_back(no_theta);
ThetaStructure<ParamType> lhs_theta(lhs_theta_fcts);
vector<AbstractLocalOperator2D<T>* > lhs_ops;
lhs_ops.push_back(&localLaplaceIdentityOp2D);
lhs_ops.push_back(&localIdentityLaplaceOp2D);
Flex_COp_2D A(lhs_ops);
vector<Flex_COp_2D*> ops_vec;
ops_vec.push_back(&A);
Affine_Op_2D affine_lhs(lhs_theta, ops_vec);
H1_InnProd_2D innprod(localIdentityIdentityOp2D, localLaplaceIdentityOp2D, localIdentityLaplaceOp2D);
// Right Hand Side
vector<ThetaStructure<ParamType>::ThetaFct> rhs_theta_fcts;
rhs_theta_fcts.push_back(theta_chi_1);
rhs_theta_fcts.push_back(theta_chi_2);
rhs_theta_fcts.push_back(theta_chi_3);
rhs_theta_fcts.push_back(theta_chi_4);
rhs_theta_fcts.push_back(theta_chi_5);
rhs_theta_fcts.push_back(theta_chi_6);
rhs_theta_fcts.push_back(theta_chi_7);
rhs_theta_fcts.push_back(theta_chi_8);
rhs_theta_fcts.push_back(theta_chi_9);
rhs_theta_fcts.push_back(theta_chi_10);
rhs_theta_fcts.push_back(theta_chi_11);
rhs_theta_fcts.push_back(theta_chi_12);
rhs_theta_fcts.push_back(theta_chi_13);
rhs_theta_fcts.push_back(theta_chi_14);
rhs_theta_fcts.push_back(theta_chi_15);
rhs_theta_fcts.push_back(theta_chi_16);
rhs_theta_fcts.push_back(theta_chi_17);
rhs_theta_fcts.push_back(theta_chi_18);
rhs_theta_fcts.push_back(theta_chi_19);
rhs_theta_fcts.push_back(theta_chi_20);
rhs_theta_fcts.push_back(theta_chi_21);
rhs_theta_fcts.push_back(theta_chi_22);
rhs_theta_fcts.push_back(theta_chi_23);
rhs_theta_fcts.push_back(theta_chi_24);
rhs_theta_fcts.push_back(theta_chi_25);
rhs_theta_fcts.push_back(theta_chi_26);
rhs_theta_fcts.push_back(theta_chi_27);
rhs_theta_fcts.push_back(theta_chi_28);
rhs_theta_fcts.push_back(theta_chi_29);
rhs_theta_fcts.push_back(theta_chi_30);
rhs_theta_fcts.push_back(theta_chi_31);
rhs_theta_fcts.push_back(theta_chi_32);
rhs_theta_fcts.push_back(theta_chi_33);
rhs_theta_fcts.push_back(theta_chi_34);
rhs_theta_fcts.push_back(theta_chi_35);
rhs_theta_fcts.push_back(theta_chi_36);
rhs_theta_fcts.push_back(theta_chi_37);
rhs_theta_fcts.push_back(theta_chi_38);
rhs_theta_fcts.push_back(theta_chi_39);
rhs_theta_fcts.push_back(theta_chi_40);
rhs_theta_fcts.push_back(theta_chi_41);
rhs_theta_fcts.push_back(theta_chi_42);
rhs_theta_fcts.push_back(theta_chi_43);
rhs_theta_fcts.push_back(theta_chi_44);
rhs_theta_fcts.push_back(theta_chi_45);
rhs_theta_fcts.push_back(theta_chi_46);
rhs_theta_fcts.push_back(theta_chi_47);
rhs_theta_fcts.push_back(theta_chi_48);
rhs_theta_fcts.push_back(theta_chi_49);
ThetaStructure<ParamType> rhs_theta(rhs_theta_fcts);
vector<Rhs*> rhs_fcts;
rhs_fcts.push_back(&F1);
rhs_fcts.push_back(&F2);
rhs_fcts.push_back(&F3);
rhs_fcts.push_back(&F4);
rhs_fcts.push_back(&F5);
rhs_fcts.push_back(&F6);
rhs_fcts.push_back(&F7);
rhs_fcts.push_back(&F8);
rhs_fcts.push_back(&F9);
rhs_fcts.push_back(&F10);
rhs_fcts.push_back(&F11);
rhs_fcts.push_back(&F12);
rhs_fcts.push_back(&F13);
rhs_fcts.push_back(&F14);
rhs_fcts.push_back(&F15);
rhs_fcts.push_back(&F16);
rhs_fcts.push_back(&F17);
rhs_fcts.push_back(&F18);
rhs_fcts.push_back(&F19);
rhs_fcts.push_back(&F20);
rhs_fcts.push_back(&F21);
rhs_fcts.push_back(&F22);
rhs_fcts.push_back(&F23);
rhs_fcts.push_back(&F24);
rhs_fcts.push_back(&F25);
rhs_fcts.push_back(&F26);
rhs_fcts.push_back(&F27);
rhs_fcts.push_back(&F28);
rhs_fcts.push_back(&F29);
rhs_fcts.push_back(&F30);
rhs_fcts.push_back(&F31);
rhs_fcts.push_back(&F32);
rhs_fcts.push_back(&F33);
rhs_fcts.push_back(&F34);
rhs_fcts.push_back(&F35);
rhs_fcts.push_back(&F36);
rhs_fcts.push_back(&F37);
rhs_fcts.push_back(&F38);
rhs_fcts.push_back(&F39);
rhs_fcts.push_back(&F40);
rhs_fcts.push_back(&F41);
rhs_fcts.push_back(&F42);
rhs_fcts.push_back(&F43);
rhs_fcts.push_back(&F44);
rhs_fcts.push_back(&F45);
rhs_fcts.push_back(&F46);
rhs_fcts.push_back(&F47);
rhs_fcts.push_back(&F48);
rhs_fcts.push_back(&F49);
Affine_Rhs_2D affine_rhs(rhs_theta, rhs_fcts);
RieszF_Rhs_2D rieszF_rhs(rhs_fcts);
RieszA_Rhs_2D rieszA_rhs(ops_vec);
// Right Hand Sides for direct Riesz Representor
AffineA_Rhs_2D affineA_rhs(lhs_theta, lhs_ops);
RieszRes_Rhs_2D rieszRes_rhs(affineA_rhs, affine_rhs);
//===============================================================//
//=============== AWGM =========================================//
//===============================================================//
IS_Parameters is_parameters;
AWGM_Parameters awgm_truth_parameters, awgm_riesz_f_parameters, awgm_riesz_a_parameters, awgm_riesz_res_parameters;
awgm_truth_parameters.max_its = 1e+03;
is_parameters.adaptive_tol = true;
is_parameters.init_tol = 0.0001;
is_parameters.res_reduction = 0.01;
//----------- Solver ---------------- //
T gamma = 0.2;
IndexSet<Index2D> Lambda;
getSparseGridIndexSet(basis2d, Lambda, 1, 0, gamma);
MT_AWGM_Truth awgm_u(basis2d, affine_lhs, affine_rhs, prec, awgm_truth_parameters, is_parameters);
awgm_u.set_sol(dummy);
awgm_u.awgm_params.tol = 1e-04;
awgm_u.awgm_params.max_basissize = 1e+06;
awgm_u.set_initial_indexset(Lambda);
MT_AWGM_Riesz_F awgm_rieszF(basis2d, innprod, rieszF_rhs, prec, awgm_riesz_f_parameters, is_parameters);
awgm_rieszF.set_sol(dummy);
awgm_rieszF.set_initial_indexset(Lambda);
awgm_rieszF.awgm_params.tol = 5e-04;
awgm_rieszF.awgm_params.info_filename = "stempel_rieszF_conv_info.txt";
MT_AWGM_Riesz_A awgm_rieszA(basis2d, innprod, rieszA_rhs, prec, awgm_riesz_a_parameters, is_parameters);
awgm_rieszA.set_sol(dummy);
awgm_rieszA.set_initial_indexset(Lambda);
awgm_rieszA.awgm_params.tol = 5e-04;
awgm_rieszA.awgm_params.info_filename = "stempel_rieszA_conv_info.txt";
MT_AWGM_Riesz_Res awgm_rieszRes(basis2d, innprod, rieszRes_rhs, prec, awgm_riesz_res_parameters, is_parameters);
awgm_rieszRes.set_sol(dummy);
awgm_rieszRes.set_initial_indexset(Lambda);
awgm_rieszRes.awgm_params.tol = 5e-04;
awgm_rieszRes.awgm_params.print_info = false;
MTTruthSolver rb_truth(awgm_u, awgm_rieszF, awgm_rieszA, &awgm_rieszRes, innprod, affine_lhs, rieszF_rhs);
//----------- RB System ---------------- //
RB_Model rb_system(lhs_theta, rhs_theta);
rb_system.rb_params.ref_param = {{1.}};
rb_system.rb_params.call = call_cg;
//----------- RB Base ---------------- //
RB_BaseModel rb_base(rb_system, rb_truth, Lambda);
ParamType mu_min = {{0}};
ParamType mu_max = {{1}};
rb_base.greedy_params.training_type = weak;
rb_base.greedy_params.tol = 1e-05;
rb_base.greedy_params.min_param = mu_min;
rb_base.greedy_params.max_param = mu_max;
rb_base.greedy_params.Nmax = 6;
rb_base.greedy_params.nb_training_params = {{nb_stempel}};
rb_base.greedy_params.log_scaling = {{0}};
rb_base.greedy_params.print_file = "toy_greedy_info.txt";
rb_base.greedy_params.trainingdata_folder = "training_data_toy";
rb_base.greedy_params.print_paramset = true;
rb_base.greedy_params.erase_snapshot_params = false;
rb_base.greedy_params.orthonormalize_bfs = true;
rb_base.greedy_params.tighten_tol = true;
rb_base.greedy_params.snapshot_tol_red_crit = repeated_param;
rb_base.greedy_params.tighten_tol_rieszA = false;
rb_base.greedy_params.tighten_tol_rieszF = false;
rb_base.greedy_params.tighten_tol_reduction = 0.1,
rb_base.greedy_params.update_snapshot = true;
rb_base.greedy_params.update_rieszF = false;
rb_base.greedy_params.update_rieszA = false;
rb_base.greedy_params.test_estimator_equivalence = false;
rb_base.greedy_params.write_direct_representors = false;
rb_base.greedy_params.riesz_constant_X = 5.6;
rb_base.greedy_params.riesz_constant_Y = 2;
cout << "Parameters Training: " << std::endl << std::endl;
rb_base.greedy_params.print();
rb_system.rb_params.print();
cout << "Parameters Truth Solver: " << std::endl << std::endl;
awgm_u.awgm_params.print();
awgm_u.is_params.print();
cout << "Parameters Riesz Solver F : " << std::endl << std::endl;
awgm_rieszF.awgm_params.print();
cout << "Parameters Riesz Solver A : " << std::endl << std::endl;
awgm_rieszA.awgm_params.print();
cout << "Parameters Riesz Solver Res : " << std::endl << std::endl;
awgm_rieszRes.awgm_params.print();
//rb_system.read_rb_data("training_data_toy");
//rb_base.read_basisfunctions("training_data_toy/bf");
/*for (int i=0; i<rb_base.n_bf(); ++i) {
std::cout << " i = " << i+1 << std::endl;
std::cout << rb_base.rb_basisfunctions[i].size() << std::endl;
}*/
//rb_base.read_rieszrepresentors("training_data_toy/representors");
//rb_base.calculate_Riesz_RHS_information(true);
//rb_base.calc_rb_data();
//rb_system.write_rb_data("training_data_toy");
rb_base.train_Greedy();
std::cout << "toy_offline exited normally\n";
return 0;
}