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@ -30,6 +30,9 @@
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* */
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class PenningTrap
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{
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/** @brief Make PenningTrapTest a friend of PenningTrap.
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* */
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friend class PenningTrapTest;
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private:
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double B_0; ///< Magnetic field strength
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double V_0; ///< Applied potential
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@ -37,10 +40,16 @@ private:
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double d; ///< Characteristic dimension
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double t; ///< Current time
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std::vector<Particle> particles; ///< The particles in the Penning trap
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sim_arr k_v; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is
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///< the index of a particle
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sim_arr k_r; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is
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///< the index of a particle
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/** @brief A 2D vector containing all \f$k_{v,i,j}\f$ where \f$j\f$ is the
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* index of a particle
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* */
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sim_arr k_v;
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/** @brief A 2D vector containing all \f$k_{r,i,j}\f$ where \f$j\f$ is the
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* index of a particle
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* */
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sim_arr k_r;
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/** @brief Helper for evolve_RK4 when calculating \f$k_{v,i,j}\f$ values
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*
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@ -122,6 +131,14 @@ private:
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* */
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vec3 total_force(uint i);
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/** @brief calculate the total force on a particle p_i without interaction
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*
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* @param i The index of particle p_i
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*
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* @return vec3
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* */
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vec3 total_force_no_interaction(uint i);
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public:
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/** @brief Constructor for the PenningTrap class
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*
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@ -229,7 +246,6 @@ public:
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std::string method = "rk4",
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bool particle_interaction = true);
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friend class PenningTrapTest;
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};
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#endif
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@ -8,7 +8,7 @@ CLASSOBJS=$(CLASSSRCS:.cpp=.o)
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INCLUDE=../include
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CFLAGS=-Wall -larmadillo -lblas -llapack -std=c++11 -O3
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CFLAGS=-Wall -larmadillo -lblas -llapack -std=c++11 -O3 -fomit-frame-pointer
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OPENMP=-fopenmp
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# Add a debug flag when compiling (For the DEBUG macro in utils.hpp)
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@ -19,6 +19,7 @@ else
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DBGFLAG=
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endif
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# Add profiling for serial code
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PROFILE ?= 0
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ifeq ($(PROFILE), 1)
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PROFFLAG=-pg -fno-inline-functions
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@ -30,6 +31,7 @@ endif
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all: test_suite main
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# Instrumentation using scorep for parallel analysis
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instrument:
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scorep $(CC) -c PenningTrap.cpp -o PenningTrap.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
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scorep $(CC) -c Particle.cpp -o Particle.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP)
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@ -10,13 +10,14 @@
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* @bug No known bugs
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* */
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#include "PenningTrap.hpp"
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#include "typedefs.hpp"
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#include <algorithm>
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#include <functional>
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#include <sys/types.h>
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#include <vector>
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#include "PenningTrap.hpp"
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#include "typedefs.hpp"
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vec3 PenningTrap::v_func(uint i, uint j, double dt)
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{
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switch (i) {
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@ -59,8 +60,8 @@ vec3 PenningTrap::external_E_field(vec3 r)
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{
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r(2) *= -2.;
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return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d))
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* r);
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return vec3(
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((this->V_0 * this->perturbation(this->t)) / (this->d * this->d)) * r);
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}
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vec3 PenningTrap::external_B_field(vec3 r)
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@ -83,10 +84,6 @@ vec3 PenningTrap::total_force_external(uint i)
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{
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Particle *p = &this->particles[i];
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if (arma::norm(p->r_vec) > this->d) {
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return vec3{0., 0., 0.};
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}
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return vec3(p->q
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* (this->external_E_field(p->r_vec)
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+ arma::cross(p->v_vec, this->external_B_field(p->r_vec))));
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@ -112,6 +109,14 @@ vec3 PenningTrap::total_force(uint i)
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return vec3(this->total_force_external(i) - this->total_force_particles(i));
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}
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vec3 PenningTrap::total_force_no_interaction(uint i)
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{
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if (arma::norm(this->particles[i].r_vec) > this->d) {
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return vec3{0., 0., 0.};
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}
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return vec3(this->total_force_external(i));
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}
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PenningTrap::PenningTrap(double B_0, double V_0, double d, double t)
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{
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this->B_0 = B_0;
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@ -149,9 +154,12 @@ void PenningTrap::reinitialize(double f, double omega_V, double t)
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{
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this->t = t;
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this->set_pertubation(f, omega_V);
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Particle *p;
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for (size_t i = 0; i < this->particles.size(); i++) {
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this->particles[i].r_vec = vec3().randn() * .1 * this->d;
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p = &this->particles[i];
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p->v_vec = vec3().randn() * .1 * this->d;
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p->v_vec = vec3().randn() * .1 * this->d;
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}
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}
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@ -162,13 +170,14 @@ void PenningTrap::add_particle(Particle particle)
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void PenningTrap::evolve_RK4(double dt, bool particle_interaction)
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{
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Particle *p;
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std::vector<Particle> original_particles = this->particles;
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std::vector<Particle> tmp_particles = this->particles;
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vec3 (PenningTrap::*force)(uint) = particle_interaction
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? &PenningTrap::total_force
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: &PenningTrap::total_force_external;
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vec3 (PenningTrap::*force)(uint) =
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particle_interaction ? &PenningTrap::total_force
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: &PenningTrap::total_force_no_interaction;
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size_t size = this->particles.size();
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@ -182,15 +191,15 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction)
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// Each k_{i+1} is dependent on k_i, so outer loop is not parallelizable
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for (size_t i = 0; i < 4; i++) {
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// Inner loop is able to be parallelized
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#pragma omp parallel for
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#pragma omp parallel for private(p)
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for (size_t j = 0; j < size; j++) {
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this->k_v[i][j] = (this->*force)(j) / this->particles[j].m;
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this->k_r[i][j] = this->particles[j].v_vec;
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tmp_particles[j].v_vec =
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original_particles[j].v_vec + this->v_func(i, j, dt);
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tmp_particles[j].r_vec =
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original_particles[j].r_vec + this->r_func(i, j, dt);
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p = &tmp_particles[j];
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p->v_vec = original_particles[j].v_vec + this->v_func(i, j, dt);
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p->r_vec = original_particles[j].r_vec + this->r_func(i, j, dt);
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}
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this->particles = tmp_particles;
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}
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@ -202,10 +211,11 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction)
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{
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size_t size = this->particles.size();
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vec3 force_res[size];
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Particle *p;
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vec3 (PenningTrap::*force)(uint) = particle_interaction
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? &PenningTrap::total_force
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: &PenningTrap::total_force_external;
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vec3 (PenningTrap::*force)(uint) =
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particle_interaction ? &PenningTrap::total_force
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: &PenningTrap::total_force_no_interaction;
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// Calculating the force for each particle is independent and therefore
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// a good candidate for parallel execution
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@ -218,8 +228,9 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction)
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// this as well
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#pragma omp parallel for
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for (size_t i = 0; i < size; i++) {
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this->particles[i].r_vec += dt * this->particles[i].v_vec;
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this->particles[i].v_vec += dt * force_res[i] / this->particles[i].m;
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p = &this->particles[i];
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p->r_vec += dt * p->v_vec;
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p->v_vec += dt * force_res[i] / p->m;
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}
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this->t += dt;
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@ -228,6 +239,7 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction)
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simulation_t PenningTrap::simulate(double time, uint steps, std::string method,
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bool particle_interaction)
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{
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Particle *p;
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double dt = time / (double)steps;
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uint size = this->particles.size();
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@ -247,8 +259,9 @@ simulation_t PenningTrap::simulate(double time, uint steps, std::string method,
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for (size_t j = 0; j < steps; j++) {
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for (size_t i = 0; i < size; i++) {
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res.r_vecs[i][j] = this->particles[i].r_vec;
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res.v_vecs[i][j] = this->particles[i].v_vec;
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p = &this->particles[i];
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res.r_vecs[i][j] = p->r_vec;
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res.v_vecs[i][j] = p->v_vec;
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}
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(this->*func)(dt, particle_interaction);
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}
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132
src/main.cpp
132
src/main.cpp
@ -13,6 +13,7 @@
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#include <cmath>
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#include <complex>
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#include <fstream>
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#include <ncurses.h>
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#include <omp.h>
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#include <string>
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#include <vector>
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@ -135,8 +136,9 @@ void simulate_100_particles()
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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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"rk4", false);
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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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trap.simulate(time, N, "rk4", true);
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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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@ -212,7 +214,8 @@ void potential_resonance_narrow_sweep()
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double freq_start = 1.;
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double freq_end = 1.7;
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double freq_increment = .002;
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size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment);
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size_t freq_iterations =
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(size_t)((freq_end - freq_start) / freq_increment) + 1;
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double res[4][freq_iterations];
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@ -268,7 +271,8 @@ void potential_resonance_narrow_sweep_interaction()
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double freq_start = 1.;
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double freq_end = 1.7;
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double freq_increment = .002;
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size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment);
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size_t freq_iterations =
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(size_t)((freq_end - freq_start) / freq_increment) + 1;
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double res[4][freq_iterations];
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@ -308,60 +312,104 @@ void potential_resonance_narrow_sweep_interaction()
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int main()
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{
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double start, end, t1, t2;
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start = omp_get_wtime();
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int option = 1;
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bool chosen = false;
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system("clear");
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std::cout << "(1) All (default)\n"
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<< "(2) Simulate single particle\n"
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<< "(3) simulate 2 particles\n"
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<< "(4) Simulate single particle with different time steps\n"
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<< "(5) Simulate 100 particles\n"
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<< "(6) Potential resonance wide sweep\n"
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<< "(7) Potential resonance narrow sweep without particle "
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"interactions\n"
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<< "(8) Potential resonance narrow sweep with particle "
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"interaction\n"
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<< "Select what to run: ";
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std::cin >> std::noskipws;
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do {
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if (!(std::cin >> option) || option < 1 || option > 8) {
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std::cin.clear();
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std::cin.ignore(std::numeric_limits<std::streamsize>::max(), '\n');
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system("clear");
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std::cout
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<< "(1) All (default)\n"
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<< "(2) Simulate single particle\n"
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<< "(3) simulate 2 particles\n"
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<< "(4) Simulate single particle with different time steps\n"
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<< "(5) Simulate 100 particles\n"
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<< "(6) Potential resonance wide sweep\n"
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<< "(7) Potential resonance narrow sweep without particle "
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"interactions\n"
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<< "(8) Potential resonance narrow sweep with particle "
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"interaction\n"
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<< "Not a valid option, please enter a valid number: ";
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} else {
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chosen = true;
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}
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} while (!chosen);
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double start, end;
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system("clear");
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start = omp_get_wtime();
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switch (option) {
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case 1:
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std::cout << "Running simulate_single_particle\n";
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simulate_single_particle();
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std::cout << "Running simulate_two_particles\n";
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simulate_two_particles();
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std::cout << "Running simulate_single_particle_with_different_steps\n";
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simulate_single_particle_with_different_steps();
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t2 = omp_get_wtime();
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std::cout << "Time single and double : " << (t2 - start)
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<< " seconds" << std::endl;
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t1 = omp_get_wtime();
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std::cout << "Running simulate_100_particles\n";
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simulate_100_particles();
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t2 = omp_get_wtime();
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std::cout << "Time 100 particles : " << (t2 - t1)
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<< " seconds" << std::endl;
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t1 = omp_get_wtime();
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std::cout << "Running potential_resonance_wide_sweep\n";
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potential_resonance_wide_sweep();
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t2 = omp_get_wtime();
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std::cout << "Time wide sweep : " << (t2 - t1)
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<< " seconds" << std::endl;
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t1 = omp_get_wtime();
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std::cout << "Running potential_resonance_narrow_sweep\n";
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potential_resonance_narrow_sweep();
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t2 = omp_get_wtime();
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std::cout << "Time narrow sweep no interaction : " << (t2 - t1)
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<< " seconds" << std::endl;
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t1 = omp_get_wtime();
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std::cout << "Running potential_resonance_narrow_sweep_interaction\n";
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potential_resonance_narrow_sweep_interaction();
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t2 = omp_get_wtime();
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std::cout << "Time narrow sweep with interaction: " << (t2 - t1)
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<< " seconds" << std::endl;
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break;
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case 2:
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std::cout << "Running simulate_single_particle\n";
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simulate_single_particle();
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break;
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case 3:
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std::cout << "Running simulate_two_particles\n";
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simulate_two_particles();
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break;
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case 4:
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std::cout << "Running simulate_single_particle_with_different_steps\n";
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simulate_single_particle_with_different_steps();
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break;
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case 5:
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std::cout << "Running simulate_100_particles\n";
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simulate_100_particles();
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break;
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case 6:
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std::cout << "Running potential_resonance_wide_sweep\n";
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potential_resonance_wide_sweep();
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break;
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case 7:
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std::cout << "Running potential_resonance_narrow_sweep\n";
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potential_resonance_narrow_sweep();
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break;
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case 8:
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std::cout << "Running potential_resonance_narrow_sweep_interaction\n";
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potential_resonance_narrow_sweep_interaction();
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break;
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}
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end = omp_get_wtime();
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std::cout << "Time : " << (end - start)
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<< " seconds" << std::endl;
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std::cout << "Time: " << end - start << " seconds" << std::endl;
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return 0;
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}
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