Make some changes
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@ -26,20 +26,26 @@ protected:
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double dt;
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double T;
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void build_A();
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void build_B();
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void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y,
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double p_x, double p_y);
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void build_V(double thickness, double pos_x, double aperture_separation,
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double aperture, uint32_t slits);
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public:
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int32_t N;
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arma::cx_mat V;
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arma::cx_mat U;
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arma::sp_cx_mat A;
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WaveSimulation(double h, double dt, double T);
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virtual void solve(std::ofstream& ofile);
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void build_A();
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void build_B();
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void initialize_U(double x_c, double y_c, double sigma_x, double sigma_y,
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double p_x, double p_y);
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WaveSimulation(double h, double dt, double T, double x_c, double y_c,
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double sigma_x, double sigma_y, double p_x, double p_y,
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double thickness, double pos_x, double ap_sep, double ap,
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uint32_t slits);
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WaveSimulation(double h, double dt, double T, double x_c, double y_c,
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double sigma_x, double sigma_y, double p_x, double p_y);
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virtual void solve(std::ofstream &ofile);
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void write_U(std::ofstream &ofile);
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void step();
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void build_V(double thickness, double pos_x, double aperture_sparation, double aperture, uint32_t slits);
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};
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#endif
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@ -18,17 +18,36 @@
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#include <cstdint>
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#include <cstdlib>
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WaveSimulation::WaveSimulation(double h, double dt, double T)
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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, double thickness,
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double pos_x, double ap_sep, double ap,
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uint32_t slits)
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{
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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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this->V.set_size(this->N, this->N);
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this->V.fill(0.);
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this->U.set_size(this->N, this->N);
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this->U.fill(0.);
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this->build_V(thickness, pos_x, ap_sep, ap, slits);
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this->initialize_U(x_c, y_c, sigma_x, sigma_y, p_x, p_y);
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this->build_A();
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this->build_B();
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}
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WaveSimulation::WaveSimulation(double h, double dt, double T, double x_c, double y_c,
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double sigma_x, double sigma_y, double p_x, double p_y)
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{
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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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this->build_V(0.,0.,0.,0., 0);
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this->initialize_U(x_c, y_c, sigma_x, sigma_y, p_x, p_y);
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this->build_A();
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this->build_B();
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}
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void WaveSimulation::solve(std::ofstream &ofile)
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@ -43,7 +62,6 @@ void WaveSimulation::solve(std::ofstream &ofile)
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void WaveSimulation::step()
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{
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DEBUG("Inside step");
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arma::cx_vec tmp = this->B * this->U.as_col();
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arma::spsolve(this->U, this->A, tmp);
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}
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@ -111,6 +129,7 @@ void WaveSimulation::build_B()
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void WaveSimulation::initialize_U(double x_c, double y_c, double sigma_x,
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double sigma_y, double p_x, double p_y)
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{
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this->U.set_size(this->N, this->N);
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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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@ -145,25 +164,42 @@ void WaveSimulation::build_V(double thickness, double pos_x,
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double aperture_separation, double aperture,
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uint32_t slits)
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{
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uint32_t mid_y = this->N / 2 - (this->N % 2 == 0);
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this->V.set_size(this->N, this->N);
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this->V.fill(0.);
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if (slits == 0) {
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return;
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}
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arma::cx_vec res;
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if (slits % 2 == 0) {
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res = arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10));
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for (size_t i=0; i < slits; i+=2) {
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res = arma::join_cols(res, arma::cx_vec(aperture/this->h,arma::fill::zeros));
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res = arma::join_cols(arma::cx_vec(aperture/this->h,arma::fill::zeros), res);
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res = arma::join_cols(res, arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)));
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res = arma::join_cols(arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)), res);
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res = arma::cx_vec(aperture_separation / this->h,
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arma::fill::value(1e10));
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for (size_t i = 0; i < slits; i += 2) {
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res = arma::join_cols(
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res, arma::cx_vec(aperture / this->h, arma::fill::zeros));
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res = arma::join_cols(
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arma::cx_vec(aperture / this->h, arma::fill::zeros), res);
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res =
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arma::join_cols(res, arma::cx_vec(aperture_separation / this->h,
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arma::fill::value(1e10)));
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res = arma::join_cols(arma::cx_vec(aperture_separation / this->h,
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arma::fill::value(1e10)),
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res);
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}
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}
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else {
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res = arma::cx_vec(aperture/this->h,arma::fill::value(0));
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for (size_t i=0; i < slits-1; i+=2) {
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res = arma::join_cols(res, arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)));
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res = arma::join_cols(arma::cx_vec(aperture_separation/this->h,arma::fill::value(1e10)), res);
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res = arma::join_cols(res, arma::cx_vec(aperture/this->h,arma::fill::zeros));
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res = arma::join_cols(arma::cx_vec(aperture/this->h,arma::fill::zeros), res);
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res = arma::cx_vec(aperture / this->h, arma::fill::value(0));
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for (size_t i = 0; i < slits - 1; i += 2) {
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res =
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arma::join_cols(res, arma::cx_vec(aperture_separation / this->h,
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arma::fill::value(1e10)));
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res = arma::join_cols(arma::cx_vec(aperture_separation / this->h,
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arma::fill::value(1e10)),
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res);
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res = arma::join_cols(
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res, arma::cx_vec(aperture / this->h, arma::fill::zeros));
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res = arma::join_cols(
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arma::cx_vec(aperture / this->h, arma::fill::zeros), res);
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}
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}
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if (res.size() > this->N) {
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@ -171,10 +207,11 @@ void WaveSimulation::build_V(double thickness, double pos_x,
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}
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uint32_t fill = (this->N - res.size()) / 2;
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res = arma::join_cols(arma::cx_vec(fill, arma::fill::value(1e10)), res);
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res = arma::join_cols(res, arma::cx_vec(fill + ((this->N - res.size()) % 2), arma::fill::value(1e10)));
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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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for (size_t i=0; i < thickness/this->h; i++) {
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this->V.col(start+i) = res;
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uint32_t start = pos_x / this->h - 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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}
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69
src/main.cpp
69
src/main.cpp
@ -11,19 +11,14 @@
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* */
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#include "WaveSimulation.hpp"
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#include "utils.hpp"
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#include <fstream>
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void probability_deviation()
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{
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WaveSimulation sim_narrow(.005, 2.5e-5, .008);
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sim_narrow.initialize_U(.25, .5, .05, .05, 200., 0.);
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sim_narrow.build_A();
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sim_narrow.build_B();
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WaveSimulation sim_narrow(.005, 2.5e-5, .008, .25, .5, .05, .05, 200., 0.);
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WaveSimulation sim_wide(.005, 2.5e-5, .008);
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sim_wide.build_V(.02, .5, .05, .05, 2);
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sim_wide.initialize_U(.25, .5, .05, .10, 200., 0.);
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sim_wide.build_A();
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sim_wide.build_B();
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WaveSimulation sim_wide(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0.,
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0.02, .5, .05, .05, 2);
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std::ofstream ofile;
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utils::mkpath("data");
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@ -41,7 +36,8 @@ void probability_deviation()
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sim_narrow.step();
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sim_wide.step();
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ofile << i << ',' << sum_narrow << ',' << sum_wide << '\n';
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ofile << i << ',' << utils::scientific_format(sum_narrow) << ','
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<< utils::scientific_format(sum_wide) << '\n';
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}
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ofile.close();
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@ -49,11 +45,8 @@ void probability_deviation()
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void color_map()
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{
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WaveSimulation sim(.005, 2.5e-5, .008);
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sim.build_V(.02, .5, .05, .05, 2);
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sim.initialize_U(.25, .5, .05, .10, 200., 0.);
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sim.build_A();
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sim.build_B();
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WaveSimulation sim(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02,
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.5, .05, .05, 2);
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std::ofstream ofile;
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ofile.open("data/color_map.txt");
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@ -72,50 +65,56 @@ void color_map()
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void detector_screen()
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{
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WaveSimulation sim(.005, 2.5e-5, .008);
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sim.build_V(.02, .5, .05, .05, 1);
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sim.initialize_U(.25, .5, .05, .10, 200., 0.);
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sim.build_A();
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sim.build_B();
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WaveSimulation *sim = new WaveSimulation(
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.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0., 0.02, .5, .05, .05, 1);
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std::ofstream ofile;
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utils::mkpath("data/screen");
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ofile.open("data/screen/single_slit.txt");
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ofile << sim.N << '\n';
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ofile << sim->N << '\n';
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for (size_t i = 0; i < 80; i++) {
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sim.step();
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sim->step();
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}
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sim.write_U(ofile);
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sim->write_U(ofile);
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ofile.close();
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sim.build_V(.02, .5, .05, .05, 2);
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sim.initialize_U(.25, .5, .05, .10, 200., 0.);
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delete sim;
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sim = new WaveSimulation(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,
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0.02, .5, .05, .05, 2);
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ofile.open("data/screen/double_slit.txt");
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ofile << sim.N << '\n';
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ofile << sim->N << '\n';
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for (size_t i = 0; i < 80; i++) {
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sim.step();
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sim->step();
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}
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sim.write_U(ofile);
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sim->write_U(ofile);
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ofile.close();
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sim.build_V(.02, .5, .05, .05, 3);
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sim.initialize_U(.25, .5, .05, .10, 200., 0.);
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delete sim;
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sim = new WaveSimulation(.005, 2.5e-5, .002, .25, .5, .05, .20, 200., 0.,
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0.02, .5, .05, .05, 3);
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ofile.open("data/screen/triple_slit.txt");
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ofile << sim.N << '\n';
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ofile << sim->N << '\n';
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for (size_t i = 0; i < 80; i++) {
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sim.step();
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sim->step();
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}
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sim.write_U(ofile);
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sim->write_U(ofile);
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ofile.close();
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}
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int main()
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{
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probability_deviation();
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color_map();
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//probability_deviation();
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//color_map();
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detector_screen();
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//std::ofstream ofile;
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//ofile.open("test.txt");
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//WaveSimulation sim(.005, 2.5e-5, .008, .25, .5, .05, .10, 200., 0.,
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//0.02, .5, .05, .05, 2);
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//sim.solve(ofile);
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return 0;
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}
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