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@ -27,10 +27,10 @@ void WaveSimulation::initialize_U(double x_c, double y_c, double sigma_x,
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double x, y, diff_x, diff_y;
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std::complex<double> sum = 0.;
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for (size_t j = 0; j < this->U.n_cols; j++) {
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x = j * h;
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x = (j+1) * h;
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diff_x = x - x_c;
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for (size_t i = 0; i < this->U.n_rows; i++) {
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y = i * h;
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y = (i+1) * h;
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diff_y = y - y_c;
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this->U(i, j) =
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std::exp(-(diff_x * diff_x) / (2. * sigma_x * sigma_x)
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@ -117,7 +117,8 @@ void WaveSimulation::initialize_V(double thickness, double pos_x, double ap_sep,
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res = arma::join_cols(res, arma::cx_vec(fill + ((this->N - res.size()) % 2),
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arma::fill::value(1e10)));
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uint32_t start = pos_x / this->h - thickness / this->h / 2;
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// Subtract one to compensate for the border being gone
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uint32_t start = (pos_x / this->h - 1) - thickness / this->h / 2;
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for (size_t i = 0; i < thickness / this->h; i++) {
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this->V.col(start + i) = res;
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}
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@ -125,32 +126,40 @@ void WaveSimulation::initialize_V(double thickness, double pos_x, double ap_sep,
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void WaveSimulation::initialize_A()
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{
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DEBUG("Inside initialize_A");
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// Create the diagonal
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arma::cx_vec diagonal(this->N * this->N);
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DEBUG("Before setting diagonal values");
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// Set diagonal values
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std::complex<double> r = (1._i * this->dt) / (2 * h * h);
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for (size_t i = 0; i < diagonal.size(); i++) {
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diagonal(i) = 1. + 4. * r + (1._i * this->dt / 2.) * this->V(i);
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}
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DEBUG("Create submatrix");
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// Create the submatrix
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arma::cx_mat sub_matrix(this->N, this->N, arma::fill::zeros);
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sub_matrix.diag(-1).fill(-r);
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sub_matrix.diag(1).fill(-r);
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DEBUG("Set the size of A");
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// Set the size of A
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this->A.set_size(this->N * this->N, this->N * this->N);
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DEBUG("Fill in values");
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// Fill in the values in the submatrix diagonal
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for (size_t i = 0; i < this->A.n_cols; i += this->N) {
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this->A.submat(i, i, i + this->N - 1, i + this->N - 1) = sub_matrix;
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}
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DEBUG("Fill in diagonals");
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// Fill the last sub/sup-diagonals
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this->A.diag() = diagonal;
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this->A.diag(-this->N).fill(-r);
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DEBUG("After diagonal");
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this->A.diag(this->N).fill(-r);
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DEBUG("After");
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}
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void WaveSimulation::initialize_B()
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@ -205,15 +214,21 @@ WaveSimulation::WaveSimulation(double h, double dt, double T, double x_c,
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double y_c, double sigma_x, double sigma_y,
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double p_x, double p_y)
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{
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DEBUG("Inside constructor");
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this->dt = dt;
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this->h = h;
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this->T = T;
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this->M = 1. / h;
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this->N = M - 2;
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DEBUG("Before V");
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this->initialize_V();
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DEBUG("Before U");
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this->initialize_U(x_c, y_c, sigma_x, sigma_y, p_x, p_y);
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DEBUG("Before A");
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this->initialize_A();
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DEBUG("Before B");
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this->initialize_B();
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DEBUG("After B");
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}
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// Public methods
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@ -226,7 +241,7 @@ void WaveSimulation::step()
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arma::spsolve(this->U, this->A, tmp);
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}
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void WaveSimulation::solve(std::string outfile, bool write_each_step)
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void WaveSimulation::simulate(std::string outfile, bool write_each_step)
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{
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// Create path and proceed if successful.
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if (!utils::mkpath(utils::dirname(outfile))) {
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@ -256,7 +271,7 @@ void WaveSimulation::solve(std::string outfile, bool write_each_step)
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this->write_U(ofile);
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ofile.close();
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}
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void WaveSimulation::solve(std::string outfile, std::vector<double> &steps)
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void WaveSimulation::simulate(std::string outfile, std::vector<double> &steps)
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{
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// Create path and proceed if successful.
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if (!utils::mkpath(utils::dirname(outfile))) {
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@ -113,4 +113,47 @@ void print_sp_matrix_structure(const arma::sp_cx_mat &A)
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cout << endl;
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}
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std::vector<std::string> split(const std::string &s, char delim) {
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std::vector<std::string> result;
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std::stringstream ss(s);
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std::string item;
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while (getline(ss, item, delim)) {
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result.push_back(trim(item));
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}
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return result;
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}
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inline std::string& ltrim(std::string& s, const char* t)
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{
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s.erase(0, s.find_first_not_of(t));
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return s;
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}
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inline std::string& rtrim(std::string& s, const char* t)
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{
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s.erase(s.find_last_not_of(t) + 1);
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return s;
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}
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inline std::string& trim(std::string& s, const char* t)
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{
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return ltrim(rtrim(s, t), t);
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}
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inline std::string ltrim_copy(std::string s, const char* t)
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{
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return ltrim(s, t);
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}
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inline std::string rtrim_copy(std::string s, const char* t)
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{
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return rtrim(s, t);
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}
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inline std::string trim_copy(std::string s, const char* t)
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{
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return trim(s, t);
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}
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} // namespace utils
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