#include"../common/define.h" #include"Assemble_Base.h" #include "../Eigen/SparseLU" #include #include #include #include #include #ifdef _WIN32 #include static void EnsureOutputDir(const std::string& dir) { _mkdir(dir.c_str()); } #else #include static void EnsureOutputDir(const std::string& dir) { mkdir(dir.c_str(), 0755); } #endif /* 2D_EigenMode */ void OpticsFEM_2D_EigenMode::Assemble() { //?????????? _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { if (_mPhy->GetNbrPML() > 0) _mIsReal = false; } if (_mIsReal) { for (int i = 0; i < _mPhy->GetNbrPBC(); i++) { if (_mPhy->GetPBCPhi(i).imag()!= 0.0) { _mIsReal = false; break; } } } //????????? ???????? _mDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); //???????? this->Assemble_WaveEquation(); if (_mIsReal) { _mA_real = Eigen::SparseMatrix(_mDof, _mDof); _mB_real = Eigen::SparseMatrix(_mDof, _mDof); _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); _mB_real.setFromTriplets(_mTripleB_real.begin(), _mTripleB_real.end()); } else { _mA_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mB_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); _mB_complex.setFromTriplets(_mTripleB_complex.begin(), _mTripleB_complex.end()); } //???????????????????????? if ((_mPhy->GetNbrPEC() + _mPhy->GetNbrPBC() > 0)) { this->Assemble_PEC_PBC(); if (_mIsReal) { _mA_real = (_mP_real.transpose() * _mA_real) * _mP_real; _mB_real = (_mP_real.transpose() * _mB_real) * _mP_real; } else { _mA_complex = (_mP_complex.adjoint() * _mA_complex) * _mP_complex; _mB_complex = (_mP_complex.adjoint() * _mB_complex) * _mP_complex; } } else { if (_mIsReal) { _mP_real = Eigen::SparseMatrix(_mDof, _mDof); _mP_real.setIdentity(); } else { _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mP_complex.setIdentity(); } } //????????????? /* double k0 = 2 * Pi / _mSolver->GetLda0(); double theta2 = k0 * k0 * _mSolver->GetSearchValue() * _mSolver->GetSearchValue(); if (_mIsReal) { Eigen::SparseMatrix tempA = _mA_real; _mA_real = _mB_real; _mB_real = (1 / theta2) * tempA + _mB_real; } else { Eigen::SparseMatrix, Eigen::RowMajor> tempA = _mA_complex; _mA_complex = _mB_complex; _mB_complex = (1 / theta2) * tempA + _mB_complex; } */ } void OpticsFEM_2D_EigenMode::Run() { double k0 = 2. * Pi / _mSolver->GetLda0(); double search = -k0 * k0 * _mSolver->GetSearchValue() * _mSolver->GetSearchValue(); if (_mIsReal) { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_real, &_mB_real, &_mP_real, search); } else { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_complex, &_mB_complex, &_mP_complex, search); } _mSolver->Run(&_mX, &_mLambda); } void OpticsFEM_2D_EigenMode::Post(string file) { _mPost->GetMesh(_mMesh); _mPost->GetSolver(_mSolver); _mPost->GetResult(&_mX, &_mLambda); _mPost->GetElectric(); _mPost->OutputData(file); } /* 2D_EigenFreq */ void OpticsFEM_2D_EigenFreq::Assemble() { //?????????? _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { if (_mPhy->GetNbrPML() > 0) _mIsReal = false; } if (_mIsReal) { for (int i = 0; i < _mPhy->GetNbrPBC(); i++) { if (_mPhy->GetPBCPhi(i).imag()!= 0.0) { _mIsReal = false; break; } } } //???????? this->Assemble_WaveEquation(); //????????? if (_mIsReal) { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mA_real = Eigen::SparseMatrix(tempDof, tempDof); _mB_real = Eigen::SparseMatrix(tempDof, tempDof); _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); _mB_real.setFromTriplets(_mTripleB_real.begin(), _mTripleB_real.end()); } else { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mA_complex = Eigen::SparseMatrix, Eigen::RowMajor>(tempDof, tempDof); _mB_complex = Eigen::SparseMatrix, Eigen::RowMajor>(tempDof, tempDof); _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); _mB_complex.setFromTriplets(_mTripleB_complex.begin(), _mTripleB_complex.end()); } //???????????????????????? _mElectricType = _mSolver->GetElectricType(); if ((_mPhy->GetNbrPEC() + _mPhy->GetNbrPBC() > 0)) { this->Assemble_PEC_PBC(); } else { //??T???????? 0-Et 1-Ez 2-E if (_mIsReal) { std::vector> tempTriple; if (_mElectricType == 0) { _mDof = _mMesh->GetNbrEdge(); _mP_real = Eigen::SparseMatrix(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet(_mMesh->GetNbrVertex() + i, i, 1.)); } _mP_real.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else if (_mElectricType == 1) { _mDof = _mMesh->GetNbrVertex(); _mP_real = Eigen::SparseMatrix(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet(i, i, 1.)); } _mP_real.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else { _mDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mP_real = Eigen::SparseMatrix(_mDof, _mDof); _mP_real.setIdentity(); } } else { std::vector>> tempTriple; if (_mElectricType == 0) { _mDof = _mMesh->GetNbrEdge(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { /*tempTriple.push_back(Eigen::Triplet>(_mMesh->GetNbrVertex() + i, _mMesh->GetNbrVertex() + i, 1.));*/ tempTriple.push_back(Eigen::Triplet>(_mMesh->GetNbrVertex() + i, i, 1.)); } _mP_complex.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else if (_mElectricType == 1) { _mDof = _mMesh->GetNbrVertex(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet>(i, i, 1.)); } _mP_complex.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else { _mDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mP_complex.setIdentity(); } } } if (_mIsReal) { _mA_real = (_mP_real.transpose() * _mA_real) * _mP_real; _mB_real = (_mP_real.transpose() * _mB_real) * _mP_real; } else { _mA_complex = (_mP_complex.adjoint() * _mA_complex) * _mP_complex; _mB_complex = (_mP_complex.adjoint() * _mB_complex) * _mP_complex; } } void OpticsFEM_2D_EigenFreq::Run() { double k0 = 2. * Pi / (c_const / _mSolver->GetSearchValue()); double search = k0 * k0; if (_mIsReal) { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_real, &_mB_real, &_mP_real, search); } else { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_complex, &_mB_complex, &_mP_complex, search); } _mSolver->Run(&_mX, &_mLambda); } void OpticsFEM_2D_EigenFreq::Post(string file) { _mPost->GetMesh(_mMesh); _mPost->GetSolver(_mSolver); _mPost->GetResult(&_mX, &_mLambda); _mPost->GetElectric(); _mPost->OutputData(file); } /* 2D_Scatter */ void OpticsFEM_2D_Scatter::Assemble() { _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { if (_mPhy->GetNbrPML() > 0) _mIsReal = false; } if (_mIsReal) { if (_mPhy->GetNbrSBC() > 0) _mIsReal = false; } if (_mIsReal) { /*for (int i = 0; i < _mPhy->GetNbrElE(); i++) { Eigen::Vector3cd E0; _mPhy->GetE0(i, E0); for (int j = 0; j < 3; j++) { if (E0(j).imag() != 0) { _mIsReal = false; } } }*/ } if (_mIsReal) { for (int i = 0; i < _mPhy->GetNbrPBC(); i++) { if (_mPhy->GetPBCPhi(i).imag()!= 0.0) { _mIsReal = false; break; } } } if (_mIsReal) { if (_mPhy->GetBeamState() != 0) _mIsReal = false; } //??????????? this->Assemble_WaveEquation(); if (_mIsReal) { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mB_real = Eigen::VectorXd::Zero(tempDof); } else { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mB_complex = Eigen::VectorXcd::Zero(tempDof); } //SBC if (_mPhy->GetNbrSBC() > 0) this->Assemble_SBC(); //BELE if (_mPhy->GetNbrBELE()) this->Assemble_BELE(); if (_mIsReal) { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mA_real = Eigen::SparseMatrix(tempDof, tempDof); _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); } else { int tempDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mA_complex = Eigen::SparseMatrix, Eigen::RowMajor>(tempDof, tempDof); _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); } //MAG if (_mPhy->GetNbrMAG()) this->Assemble_MAG(); //SCD if (_mPhy->GetNbrSCD()) this->Assemble_SCD(); //MPD if (_mPhy->GetNbrMPD()) this->Assemble_MPD(); //EPD if (_mPhy->GetNbrEPD()) this->Assemble_EPD(); //PEC+ELE this->Assemble_PEC_ELE(); //PBC if (_mPhy->GetNbrPBC() > 0) { this->Assemble_PBC(); } else { if (_mIsReal) { std::vector> tempTriple; if (_mSolver->GetElectricType() == 0) { _mDof = _mMesh->GetNbrEdge(); _mP_real = Eigen::SparseMatrix(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet(_mMesh->GetNbrVertex() + i, i, 1.)); } _mP_real.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else if (_mSolver->GetElectricType() == 1) { _mDof = _mMesh->GetNbrVertex(); _mP_real = Eigen::SparseMatrix(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet(i, i, 1.)); } _mP_real.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else { _mDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mP_real = Eigen::SparseMatrix(_mDof, _mDof); _mP_real.setIdentity(); } } else { std::vector>> tempTriple; if (_mSolver->GetElectricType() == 0) { _mDof = _mMesh->GetNbrEdge(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet>(_mMesh->GetNbrVertex() + i, i, 1.)); } _mP_complex.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else if (_mSolver->GetElectricType() == 1) { _mDof = _mMesh->GetNbrVertex(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(), _mDof); for (int i = 0; i < _mDof; i++) { tempTriple.push_back(Eigen::Triplet>(i, i, 1.)); } _mP_complex.setFromTriplets(tempTriple.begin(), tempTriple.end()); } else { _mDof = _mMesh->GetNbrVertex() + _mMesh->GetNbrEdge(); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mP_complex.setIdentity(); } } } if (_mIsReal) { _mA_real = (_mP_real.transpose() * _mA_real) * _mP_real; _mB_real = _mP_real.transpose() * _mB_real; } else { _mA_complex = (_mP_complex.adjoint() * _mA_complex) * _mP_complex; _mB_complex = _mP_complex.adjoint() * _mB_complex; } } void OpticsFEM_2D_Scatter::Run() { if (_mIsReal) { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_real, &_mB_real, &_mP_real); } else { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_complex, &_mB_complex, &_mP_complex); } _mSolver->Run(&_mX); } void OpticsFEM_2D_Scatter::Post(string file) { _mPost->GetMesh(_mMesh); _mPost->GetSolver(_mSolver); _mPost->GetPhy(_mPhy); _mPost->GetResult(&_mX); _mPost->GetElectric(); _mPost->OutputData(file); } /* 3D_EigenFreq - volume assembly_equ → sparse A (curl-curl) and B (eps mass) */ void OpticsFEM_3D_EigenFreq::Assemble() { _mDof = _mMesh->GetNbrEdge(); _mTripleA_real.clear(); _mTripleB_real.clear(); _mTripleA_complex.clear(); _mTripleB_complex.clear(); _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { for (int i = 0; i < _mPhy->GetNbrPBC(); i++) { if (_mPhy->GetPBCPhi(i).imag()!= 0.0) { _mIsReal = false; break; } } } this->Assemble_WaveEquation(); if (_mIsReal) { _mA_real.resize(_mDof, _mDof); _mB_real.resize(_mDof, _mDof); _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); _mB_real.setFromTriplets(_mTripleB_real.begin(), _mTripleB_real.end()); } else { _mA_complex.resize(_mDof, _mDof); _mB_complex.resize(_mDof, _mDof); _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); _mB_complex.setFromTriplets(_mTripleB_complex.begin(), _mTripleB_complex.end()); } if ((_mPhy->GetNbrPEC() + _mPhy->GetNbrPBC() > 0)) { this->Assemble_PEC_PBC(); } else { if (_mIsReal) { _mP_real.resize(_mDof, _mDof); _mP_real.setIdentity(); } else { _mP_complex.resize(_mDof, _mDof); _mP_complex.setIdentity(); } } std::cout << "[OpticsFEM_3D_EigenFreq] Assemble done: DOF=" << _mDof << " nnz(A)=" << (_mIsReal ? _mA_real.nonZeros() : _mA_complex.nonZeros()) << " nnz(B)=" << (_mIsReal ? _mB_real.nonZeros() : _mB_complex.nonZeros()) << std::endl; } /* 3D_Scatter - 3D first-order Nedelec scattering (assembly_equ + assembly_out + assembly_inc) */ void OpticsFEM_3D_Scatter::Assemble() { _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { if (_mPhy->GetNbrPML() > 0) _mIsReal = false; } if (_mIsReal) { if (_mPhy->GetNbrSBC() > 0) _mIsReal = false; } if (_mIsReal) { for (int i = 0; i < _mPhy->GetNbrPBC(); i++) { if (_mPhy->GetPBCPhi(i).imag() != 0.0) { _mIsReal = false; break; } } } _mDof = _mMesh->GetNbrEdge(); this->Assemble_WaveEquation(); if (_mIsReal) _mB_real = Eigen::VectorXd::Zero(_mDof); else _mB_complex = Eigen::VectorXcd::Zero(_mDof); if (_mPhy->GetNbrSBC() > 0) this->Assemble_SBC(); if (_mIsReal) { _mA_real = Eigen::SparseMatrix(_mDof, _mDof); _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); _mP_real = Eigen::SparseMatrix(_mDof, _mDof); _mP_real.setIdentity(); } else { _mA_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); _mP_complex = Eigen::SparseMatrix, Eigen::RowMajor>(_mDof, _mDof); _mP_complex.setIdentity(); } } void OpticsFEM_3D_Scatter::Run() { if (_mIsReal) { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_real, &_mB_real, &_mP_real); } else { _mSolver->GetRealFlag(_mIsReal); _mSolver->SetParam(&_mA_complex, &_mB_complex, &_mP_complex); } _mSolver->Run(&_mX); if (!_mIsReal && _mB_complex.size() > 0) { const double bNorm = _mB_complex.norm(); const double xNorm = _mX.norm(); if (bNorm > 0.0 && (!std::isfinite(_mX(0).real()) || xNorm < 1e-12 * bNorm)) { Eigen::SparseLU>> lu; lu.compute(_mA_complex); if (lu.info() == Eigen::Success) _mX = lu.solve(_mB_complex); } } } void OpticsFEM_3D_Scatter::Post(string file) { _mPost->GetMesh(_mMesh); _mPost->GetResult(&_mX); _mPost->GetElectric(); this->Test_OutputMatrix(file); _mPost->OutputData(file); std::cout << "[OpticsFEM] post to " << file << std::endl; } void OpticsFEM_3D_Scatter::Test_OutputMatrix(const std::string& outDir) { EnsureOutputDir(outDir); const std::string prefix = outDir + "/"; std::ofstream outAi(prefix + "Ai.txt"), outAj(prefix + "Aj.txt"), outAv(prefix + "Av.txt"); std::ofstream outBv_real(prefix + "Bv_real.txt"), outBv_imag(prefix + "Bv_imag.txt"); std::ofstream outX_real(prefix + "X_real.txt"), outX_imag(prefix + "X_imag.txt"); if (_mIsReal) { for (int k = 0; k < _mTripleA_real.size(); k++) { outAi << _mTripleA_real[k].row() << std::endl; outAj << _mTripleA_real[k].col() << std::endl; outAv << _mTripleA_real[k].value() << std::endl; } for (int i = 0; i < _mB_real.size(); i++) outBv_real << _mB_real(i) << std::endl; for (int i = 0; i < _mX.size(); i++) outX_real << _mX(i).real() << std::endl; } else { for (int k = 0; k < _mTripleA_complex.size(); k++) { outAi << _mTripleA_complex[k].row() << std::endl; outAj << _mTripleA_complex[k].col() << std::endl; outAv << _mTripleA_complex[k].value() << std::endl; } for (int i = 0; i < _mB_complex.size(); i++) { outBv_real << _mB_complex(i).real() << std::endl; outBv_imag << _mB_complex(i).imag() << std::endl; } for (int i = 0; i < _mX.size(); i++) { outX_real << _mX(i).real() << std::endl; outX_imag << _mX(i).imag() << std::endl; } } } void OpticsFEM_3D_EigenFreq::Test_OutputMatrix(const std::string& outDir) { EnsureOutputDir(outDir); const std::string prefix = outDir + "/"; if (_mIsReal) { std::ofstream outAi(prefix + "Ai.txt"), outAj(prefix + "Aj.txt"), outAv(prefix + "Av.txt"); std::ofstream outBi(prefix + "Bi.txt"), outBj(prefix + "Bj.txt"), outBv(prefix + "Bv.txt"); for (const auto& t : _mTripleA_real) { outAi << t.row() << '\n'; outAj << t.col() << '\n'; outAv << t.value() << '\n'; } for (const auto& t : _mTripleB_real) { outBi << t.row() << '\n'; outBj << t.col() << '\n'; outBv << t.value() << '\n'; } std::cout << "[OpticsFEM_3D_EigenFreq] exported A/B COO to " << outDir << std::endl; } else { std::ofstream outAi(prefix + "Ai.txt"), outAj(prefix + "Aj.txt"); std::ofstream outAv_real(prefix + "Av_real.txt"), outAv_imag(prefix + "Av_imag.txt"); std::ofstream outBi(prefix + "Bi.txt"), outBj(prefix + "Bj.txt"); std::ofstream outBv_real(prefix + "Bv_real.txt"), outBv_imag(prefix + "Bv_imag.txt"); for (const auto& t : _mTripleA_complex) { outAi << t.row() << '\n'; outAj << t.col() << '\n'; outAv_real << t.value().real() << '\n'; outAv_imag << t.value().imag() << '\n'; } for (const auto& t : _mTripleB_complex) { outBi << t.row() << '\n'; outBj << t.col() << '\n'; outBv_real << t.value().real() << '\n'; outBv_imag << t.value().imag() << '\n'; } std::cout << "[OpticsFEM_3D_EigenFreq] exported A/B COO to " << outDir << std::endl; } } /* 3D_Scatter2 prism */ void OpticsFEM_3D_Scatter2::Assemble() { _mIsReal = _mMatLib->IsReal(); if (_mIsReal) { if (_mPhy->GetNbrPML() > 0) _mIsReal = false; } if (_mIsReal) { if (_mPhy->GetNbrSBC() > 0) _mIsReal = false; } if (_mIsReal) { /*for (int i = 0; i < _mPhy->GetNbrElE(); i++) { Eigen::Vector3cd E0; _mPhy->GetE0(i, E0); for (int j = 0; j < 3; j++) { if (E0(j).imag() != 0) { _mIsReal = false; } } }*/ } this->Assemble_WaveEquation(); //SBC //this->Assemble_SBC(); //Port (n+m)*(n+m) //this->Assemble_PortBC(); if (_mIsReal) _mA_real.setFromTriplets(_mTripleA_real.begin(), _mTripleA_real.end()); else _mA_complex.setFromTriplets(_mTripleA_complex.begin(), _mTripleA_complex.end()); //PEC+ELE //this->Assemble_PEC_ELE(); }