Coryab/code #9
70
src/main.cpp
70
src/main.cpp
@ -13,10 +13,8 @@
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#include <cmath>
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#include <complex>
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#include <fstream>
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#include <functional>
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#include <omp.h>
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#include <string>
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#include <sys/stat.h>
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#include <vector>
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#include "PenningTrap.hpp"
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@ -24,9 +22,10 @@
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#define PARTICLES 100
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#define N 40000
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#define CHARGE 1.
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#define MASS 40. // unit: amu
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#define CHARGE 1. // unit: e
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#define MASS 40. // unit: amu
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// Particles used for testing
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Particle p1(CHARGE, MASS, vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.});
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Particle p2(CHARGE, MASS, vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.});
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@ -38,31 +37,34 @@ vec_3d analytical_solution_particle_1(double t)
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double w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;
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double A_p = (25. + w_n * 20.) / (w_n - w_p);
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double A_n = -(25. + w_p * 20.) / (w_n - w_p);
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std::complex<double> f = A_p * std::exp(std::complex<double>(0., -w_p * t)) +
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A_n * std::exp(std::complex<double>(0., -w_n * t));
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std::complex<double> f =
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A_p * std::exp(std::complex<double>(0., -w_p * t)) +
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A_n * std::exp(std::complex<double>(0., -w_n * t));
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vec_3d res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)};
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return res;
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}
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void simulate_single_particle()
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{
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DEBUG("Inside single particle sim");
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// Initialize trap with particle 1
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PenningTrap trap(std::vector<Particle>{p1});
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double time = 50.; // microseconds
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DEBUG("Write to dir");
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// Simulate and write results to file
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trap.write_simulation_to_dir("output/simulate_single_particle", time, N,
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"rk4", false);
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}
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void simulate_two_particles()
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{
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// Initialize traps with particles
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PenningTrap trap_no_interaction(std::vector<Particle>{p1, p2});
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PenningTrap trap_with_interaction(std::vector<Particle>{p1, p2});
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double time = 50.; // microseconds
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// Simulate and write results to files
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trap_no_interaction.write_simulation_to_dir(
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"output/simulate_2_particles/no_interaction", time, N, "rk4", false);
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trap_with_interaction.write_simulation_to_dir(
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@ -71,38 +73,39 @@ void simulate_two_particles()
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void simulate_single_particle_with_different_steps()
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{
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double time = 50.; // microseconds
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std::ofstream ofile;
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// Calculate relative error for RK4
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std::string path = "output/relative_error/RK4/";
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mkpath(path);
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for (int i = 0; i < 4; i++) {
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int steps = 4000 * std::pow(2, i);
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double dt = time / (double)steps;
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std::string path = "output/relative_error/RK4/";
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mkpath(path);
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ofile.open(path + std::to_string(steps) + "_steps.txt");
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PenningTrap trap(std::vector<Particle>{p1});
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simulation_t res = trap.simulate(time, steps, "rk4", false);
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for (int i = 0; i < steps; i++) {
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trap.evolve_RK4(dt);
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ofile << arma::norm(trap.get_r(0) -
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analytical_solution_particle_1(trap.get_t()))
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ofile << arma::norm(res.r_vecs[0][i] -
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analytical_solution_particle_1(dt*i))
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<< "\n";
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}
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ofile.close();
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}
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// Calculate relative error for forward Euler
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path = "output/relative_error/euler/";
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mkpath(path);
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for (int i = 0; i < 4; i++) {
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int steps = 4000 * std::pow(2, i);
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double dt = time / (double)steps;
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std::string path = "output/relative_error/euler/";
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mkpath(path);
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ofile.open(path + std::to_string(steps) + "_steps.txt");
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PenningTrap trap(std::vector<Particle>{p1});
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simulation_t res = trap.simulate(time, steps, "euler", false);
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for (int i = 0; i < steps; i++) {
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trap.evolve_forward_euler(dt);
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ofile << arma::norm(trap.get_r(0) -
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analytical_solution_particle_1(trap.get_t()))
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ofile << arma::norm(res.r_vecs[0][i] -
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analytical_solution_particle_1(dt*i))
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<< "\n";
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}
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ofile.close();
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@ -111,19 +114,18 @@ void simulate_single_particle_with_different_steps()
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void simulate_100_particles()
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{
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PenningTrap trap((unsigned)100, T,
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[](double t) {
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return 25. * V / 1000. * (1. + .4 * std::cos(1.5 * t));
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},
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500., 0);
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PenningTrap trap((unsigned)100);
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double time = 500.; // microseconds
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double time = 50.; // microseconds
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trap.write_simulation_to_dir("output/simulate_100_particles", time, N * 4);
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trap.write_simulation_to_dir("output/simulate_100_particles", time, N, "rk4", false);
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}
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// Wide sweep
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void simulate_100_particles_with_time_potential()
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{
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double time = 500.;
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double amplitudes[]{.1, .4, .7};
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double freq_start = .2;
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@ -156,7 +158,7 @@ void simulate_100_particles_with_time_potential()
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amplitudes[i], res[0][j], std::placeholders::_1),
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500., 0.);
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res[i + 1][j] =
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trap.fraction_of_particles_left(500., 40000, "rk4", false);
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trap.fraction_of_particles_left(time, N, "rk4", false);
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}
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}
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@ -170,21 +172,23 @@ void simulate_100_particles_with_time_potential()
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int main()
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{
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double start = omp_get_wtime();
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double t0 = omp_get_wtime();
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simulate_single_particle();
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// simulate_single_particle();
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simulate_two_particles();
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// simulate_two_particles();
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simulate_single_particle_with_different_steps();
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// simulate_100_particles();
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double t1 = omp_get_wtime();
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// simulate_100_particles_with_time_potential();
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simulate_100_particles();
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//simulate_100_particles_with_time_potential();
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double end = omp_get_wtime();
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std::cout << "Time: " << (end - start) << " seconds" << std::endl;
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std::cout << "Time: " << (end - t1) << " seconds" << std::endl;
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return 0;
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}
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