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@ -52,8 +52,8 @@ vec_3d PenningTrap::v_func(unsigned int i, unsigned int j, double dt)
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return dt * this->k_v[2][j];
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return dt * this->k_v[2][j];
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case 3:
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case 3:
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return vec_3d((dt / 6.)
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return vec_3d((dt / 6.)
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* (this->k_v[0][j] + 2. * this->k_v[1][j] + 2. * this->k_v[2][j]
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* (this->k_v[0][j] + 2. * this->k_v[1][j]
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+ this->k_v[3][j]));
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+ 2. * this->k_v[2][j] + this->k_v[3][j]));
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default:
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default:
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std::cout << "Not valid!" << std::endl;
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std::cout << "Not valid!" << std::endl;
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abort();
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abort();
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@ -71,8 +71,8 @@ vec_3d PenningTrap::r_func(unsigned int i, unsigned int j, double dt)
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return dt * this->k_r[2][j];
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return dt * this->k_r[2][j];
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case 3:
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case 3:
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return vec_3d((dt / 6.)
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return vec_3d((dt / 6.)
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* (this->k_r[0][j] + 2. * this->k_r[1][j] + 2. * this->k_r[2][j]
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* (this->k_r[0][j] + 2. * this->k_r[1][j]
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+ this->k_r[3][j]));
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+ 2. * this->k_r[2][j] + this->k_r[3][j]));
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default:
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default:
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std::cout << "Not valid!" << std::endl;
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std::cout << "Not valid!" << std::endl;
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abort();
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abort();
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@ -134,10 +134,9 @@ vec_3d PenningTrap::total_force_particles(unsigned int i)
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vec_3d PenningTrap::total_force(unsigned int i)
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vec_3d PenningTrap::total_force(unsigned int i)
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{
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{
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if (arma::norm(this->particles[i].r_vec) > this->d) {
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return arma::norm(this->particles[i].r_vec) > this->d
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return vec_3d{0., 0., 0.};
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? vec_3d{0., 0., 0.}
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}
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: vec_3d(this->total_force_external(i)
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return vec_3d(this->total_force_external(i)
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- this->total_force_particles(i));
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- this->total_force_particles(i));
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}
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}
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89
src/main.cpp
89
src/main.cpp
@ -97,6 +97,7 @@ void simulate_single_particle_with_different_steps()
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// Calculate relative error for RK4
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// Calculate relative error for RK4
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std::string path = "output/relative_error/RK4/";
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std::string path = "output/relative_error/RK4/";
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mkpath(path);
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mkpath(path);
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#pragma omp parallel for
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for (int i = 0; i < 4; i++) {
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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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int steps = 4000 * std::pow(2, i);
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double dt = time / (double)steps;
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double dt = time / (double)steps;
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@ -114,6 +115,7 @@ void simulate_single_particle_with_different_steps()
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// Calculate relative error for forward Euler
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// Calculate relative error for forward Euler
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path = "output/relative_error/euler/";
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path = "output/relative_error/euler/";
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mkpath(path);
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mkpath(path);
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#pragma omp parallel for
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for (int i = 0; i < 4; i++) {
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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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int steps = 4000 * std::pow(2, i);
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double dt = time / (double)steps;
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double dt = time / (double)steps;
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@ -137,8 +139,9 @@ void simulate_100_particles()
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double time = 50.; // microseconds
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double time = 50.; // microseconds
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trap.write_simulation_to_dir("output/simulate_100_particles", time, N,
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//trap.write_simulation_to_dir("output/simulate_100_particles", time, N,
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"rk4", false);
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//"rk4", false);
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trap.simulate(time, N);
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}
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}
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/** @brief Simulate 100 particles over 500 \f$ \mu s \f$ using a time
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/** @brief Simulate 100 particles over 500 \f$ \mu s \f$ using a time
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@ -148,7 +151,7 @@ void simulate_100_particles()
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* MHz.
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* MHz.
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*
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*
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* */
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* */
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void simulate_100_particles_with_time_potential()
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void simulate_100_particles_with_time_potential_wide_sweep()
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{
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{
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double time = 500.;
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double time = 500.;
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@ -177,14 +180,75 @@ void simulate_100_particles_with_time_potential()
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#pragma omp parallel for collapse(2) num_threads(4)
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#pragma omp parallel for collapse(2) num_threads(4)
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for (size_t i = 0; i < 3; i++) {
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for (size_t i = 0; i < 3; i++) {
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for (size_t j = 0; j < freq_iterations; j++) {
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for (size_t j = 0; j < freq_iterations; j++) {
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res[i+1][j] = PenningTrap(
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res[i + 1][j]
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(unsigned)100, T,
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= PenningTrap((unsigned)100, T,
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std::bind(
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std::bind(
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[](double f, double r, double t) {
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[](double f, double r, double t) {
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return (25. * V / 1000.) * (1. + f * std::cos(r * t));
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return (25. * V / 1000.)
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* (1. + f * std::cos(r * t));
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},
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},
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amplitudes[i], res[0][j], std::placeholders::_1),
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amplitudes[i], res[0][j],
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500., 0.).fraction_of_particles_left(time, N, "rk4", false);
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std::placeholders::_1),
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500., 0.)
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.fraction_of_particles_left(time, N, "rk4", false);
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}
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}
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ofile.open(path + "res.txt");
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for (size_t i = 0; i < freq_iterations; i++) {
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ofile << res[0][i] << "," << res[1][i] << "," << res[2][i] << ","
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<< res[3][i] << "\n";
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}
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ofile.close();
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}
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/** @brief Simulate 100 particles over 500 \f$ \mu s \f$ using a time
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* dependent potential.
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*
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* @details The simulation sweeps over different frequencies in [1., 1.7]
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* MHz.
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*
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* */
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void simulate_100_particles_with_time_potential_narrow_sweep()
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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 = 1.;
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double freq_end = 1.7;
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double freq_increment = .001;
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size_t freq_iterations
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= (size_t)((freq_end - freq_start) / freq_increment);
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double res[4][freq_iterations];
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std::string path = "output/time_dependent_potential/";
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mkpath(path);
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std::ofstream ofile;
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#pragma omp parallel for
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for (size_t i = 0; i < freq_iterations; i++) {
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res[0][i] = freq_start + freq_increment * i;
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}
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// Using num_threads() is usually bad practice, but not having it
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// causes a SIGKILL.
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#pragma omp parallel for collapse(2) num_threads(4)
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for (size_t i = 0; i < 3; i++) {
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for (size_t j = 0; j < freq_iterations; j++) {
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res[i + 1][j]
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= PenningTrap((unsigned)100, T,
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std::bind(
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[](double f, double r, double t) {
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return (25. * V / 1000.)
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* (1. + f * std::cos(r * t));
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},
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amplitudes[i], res[0][j],
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std::placeholders::_1),
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500., 0.)
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.fraction_of_particles_left(time, N, "rk4", false);
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}
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}
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}
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}
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@ -200,15 +264,16 @@ int main()
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{
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{
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double t0 = 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_single_particle_with_different_steps();
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simulate_100_particles();
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simulate_100_particles();
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simulate_100_particles_with_time_potential();
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//simulate_100_particles_with_time_potential_wide_sweep();
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//simulate_100_particles_with_time_potential_narrow_sweep();
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double end = omp_get_wtime();
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double end = omp_get_wtime();
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