Coryab/implement rk4 #5
40
src/main.cpp
40
src/main.cpp
@ -21,52 +21,54 @@
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#define CHARGE 1.
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#define CHARGE 1.
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#define MASS 40. // unit: amu
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#define MASS 40. // unit: amu
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void euler_100_particles()
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void simulate_100_particles()
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{
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{
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PenningTrap trap;
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PenningTrap trap;
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// Add particles inside trap
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// Add particles inside trap
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for (int i=0; i < PARTICLES; i++) {
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for (int i = 0; i < PARTICLES; i++) {
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arma::vec r = arma::vec(3).randn() * 0.1 * trap.get_d(); // random initial position
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arma::vec r = arma::vec(3).randn() * 0.1 *
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arma::vec v = arma::vec(3).randn() * 0.1 * trap.get_d(); // random initial velocity
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trap.get_d(); // random initial position
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arma::vec v = arma::vec(3).randn() * 0.1 *
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trap.get_d(); // random initial velocity
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trap.add_particle(Particle(CHARGE, MASS, r, v));
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trap.add_particle(Particle(CHARGE, MASS, r, v));
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}
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}
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double time = 50.; // microseconds
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double time = 50.; // microseconds
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double dt = time / (double) N;
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double dt = time / (double)N;
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auto res = new arma::vec::fixed<3>[PARTICLES][N];
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auto res = new arma::vec::fixed<3>[PARTICLES][N];
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int counter = 0;
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int counter = 0;
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// Get the path of all particles
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// Get the path of all particles
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for (int j=0; j < N; j++) {
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for (int j = 0; j < N; j++) {
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#pragma omp parallel for
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#pragma omp parallel for
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for (int i=0; i < PARTICLES; i++) {
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for (int i = 0; i < PARTICLES; i++) {
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res[i][j] = trap.get_particle(i);
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res[i][j] = trap.get_particle(i);
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}
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}
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trap.evolve_forward_euler(dt);
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trap.evolve_RK4(dt);
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}
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}
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std::cout << counter << std::endl;
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std::cout << counter << std::endl;
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arma::vec::fixed<3>* cur_row;
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arma::vec::fixed<3> *cur_row;
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arma::vec::fixed<3> cur_elem;
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arma::vec::fixed<3> cur_elem;
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mkdir("output", 0777);
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mkdir("output", 0777);
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mkdir("output/simulate_100_particles", 0777);
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std::ofstream ofile;
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std::ofstream ofile;
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// Write particle paths to file
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// Write particle paths to file
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#pragma omp parallel for private(cur_row, cur_elem, ofile)
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#pragma omp parallel for private(cur_row, cur_elem, ofile)
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for (int i=0; i < PARTICLES; i++) {
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for (int i = 0; i < PARTICLES; i++) {
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cur_row = res[i];
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cur_row = res[i];
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ofile.open("output/p" + std::to_string(i) + ".txt");
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ofile.open("output/simulate_100_particles/p" + std::to_string(i) + ".txt");
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for (int j=0; j < N; j++) {
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for (int j = 0; j < N; j++) {
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cur_elem = cur_row[j];
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cur_elem = cur_row[j];
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ofile << cur_elem(0) << ","
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ofile << cur_elem(0) << "," << cur_elem(1) << "," << cur_elem(2)
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<< cur_elem(1) << ","
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<< "\n";
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<< cur_elem(2) << "\n";
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}
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}
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ofile.close();
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ofile.close();
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}
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}
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@ -76,7 +78,7 @@ int main()
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{
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{
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double start = omp_get_wtime();
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double start = omp_get_wtime();
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euler_100_particles();
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simulate_100_particles();
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double end = omp_get_wtime();
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double end = omp_get_wtime();
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@ -26,26 +26,25 @@ public:
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// Vector containing inputs and expected results
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// Vector containing inputs and expected results
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std::vector<std::pair<arma::vec, arma::vec>> tests;
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std::vector<std::pair<arma::vec, arma::vec>> tests;
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tests.push_back(std::make_pair(arma::vec{0.,0.,0.},
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tests.push_back(
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arma::vec{0.,0.,0.}));
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std::make_pair(arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
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tests.push_back(std::make_pair(arma::vec{10.,0.,0.},
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tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
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arma::vec{96.4852558,0.,0.}));
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arma::vec{96.4852558, 0., 0.}));
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tests.push_back(std::make_pair(arma::vec{10.,0.,0.},
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tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
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arma::vec{96.4852558,0.,0.}));
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arma::vec{96.4852558, 0., 0.}));
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tests.push_back(std::make_pair(arma::vec{0.,10.,0.},
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tests.push_back(std::make_pair(arma::vec{0., 10., 0.},
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arma::vec{0.,96.4852558,0.}));
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arma::vec{0., 96.4852558, 0.}));
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tests.push_back(std::make_pair(arma::vec{0.,0.,10.},
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arma::vec{0.,0.,-192.9705116}));
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tests.push_back(std::make_pair(arma::vec{0., 0., 10.},
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arma::vec{0., 0., -192.9705116}));
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arma::vec result;
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arma::vec result;
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arma::vec v;
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arma::vec v;
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std::stringstream msg;
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std::stringstream msg;
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for (int i=0; i < tests.size(); i++) {
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for (int i = 0; i < tests.size(); i++) {
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v = tests.at(i).first;
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v = tests.at(i).first;
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result = trap.external_E_field(v);
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result = trap.external_E_field(v);
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@ -57,31 +56,29 @@ public:
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}
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}
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}
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}
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static void test_external_B_field()
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static void test_external_B_field()
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{
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{
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// No point in testing at different points since it's not dependent on
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// No point in testing at different points since it's not dependent
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// position.
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// on position.
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PenningTrap trap;
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PenningTrap trap;
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arma::vec expected{0.,0.,T};
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arma::vec expected{0., 0., T};
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arma::vec result = trap.external_B_field(arma::vec{0.,0.,0.});
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arma::vec result = trap.external_B_field(arma::vec{0., 0., 0.});
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ASSERT(arma_vector_close_to(expected, result),
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ASSERT(arma_vector_close_to(expected, result),
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"Testing the external B field at (0,0,0)");
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"Testing the external B field at (0,0,0)");
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}
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}
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static void test_force_on_particle()
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static void test_force_on_particle()
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{
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{
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PenningTrap trap;
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PenningTrap trap;
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arma::vec v{0.,0.,0.};
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arma::vec v{0., 0., 0.};
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// Add particles to test
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// Add particles to test
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trap.add_particle(Particle(1.,40.,arma::vec{0.,0.,0.},v));
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trap.add_particle(Particle(1., 40., arma::vec{0., 0., 0.}, v));
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trap.add_particle(Particle(1.,40.,arma::vec{1.,0.,0.},v));
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trap.add_particle(Particle(1., 40., arma::vec{1., 0., 0.}, v));
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trap.add_particle(Particle(1.,40.,arma::vec{0.,3.,4.},v));
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trap.add_particle(Particle(1., 40., arma::vec{0., 3., 4.}, v));
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// Test p0 and p1
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// Test p0 and p1
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arma::vec expected{-1.,0.,0.};
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arma::vec expected{-1., 0., 0.};
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arma::vec result = trap.force_on_particle(0, 1);
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arma::vec result = trap.force_on_particle(0, 1);
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ASSERT(arma_vector_close_to(expected, result),
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ASSERT(arma_vector_close_to(expected, result),
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"Testing the force on a particle at (0,0,0) from a "
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"Testing the force on a particle at (0,0,0) from a "
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@ -98,10 +95,10 @@ public:
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static void test_total_force_external()
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static void test_total_force_external()
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{
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{
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PenningTrap trap;
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PenningTrap trap;
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trap.add_particle(Particle(1.,40.,arma::vec{1.,2.,3.},
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trap.add_particle(
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arma::vec{3.,4.,5.}));
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Particle(1., 40., arma::vec{1., 2., 3.}, arma::vec{3., 4., 5.}));
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arma::vec expected{395.58954878,-270.15871624,-57.89115348};
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arma::vec expected{395.58954878, -270.15871624, -57.89115348};
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arma::vec result = trap.total_force_external(0);
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arma::vec result = trap.total_force_external(0);
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ASSERT(arma_vector_close_to(expected, result),
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ASSERT(arma_vector_close_to(expected, result),
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"Testing the total external force on a particle at "
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"Testing the total external force on a particle at "
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@ -111,23 +108,23 @@ public:
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static void test_total_force_particles()
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static void test_total_force_particles()
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{
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{
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PenningTrap trap;
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PenningTrap trap;
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trap.add_particle(Particle(1.,40.,arma::vec{0.,0.,0.},
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trap.add_particle(
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arma::vec{0.,0.,0.}));
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Particle(1., 40., arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
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arma::vec expected{0.,0.,0.};
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arma::vec expected{0., 0., 0.};
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arma::vec result = trap.total_force_particles(0);
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arma::vec result = trap.total_force_particles(0);
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ASSERT(arma_vector_close_to(expected, result),
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ASSERT(arma_vector_close_to(expected, result),
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"Testing the total force of all particles on particle 0 "
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"Testing the total force of all particles on particle 0 "
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"with only a single particle");
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"with only a single particle");
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trap.add_particle(Particle(1.,40.,arma::vec{1.,0.,0.},
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trap.add_particle(
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arma::vec{0.,0.,0.}));
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Particle(1., 40., arma::vec{1., 0., 0.}, arma::vec{0., 0., 0.}));
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trap.add_particle(Particle(1.,40.,arma::vec{0.,1.,0.},
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trap.add_particle(
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arma::vec{0.,0.,0.}));
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Particle(1., 40., arma::vec{0., 1., 0.}, arma::vec{0., 0., 0.}));
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trap.add_particle(Particle(1.,40.,arma::vec{0.,0.,1.},
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trap.add_particle(
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arma::vec{0.,0.,0.}));
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Particle(1., 40., arma::vec{0., 0., 1.}, arma::vec{0., 0., 0.}));
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expected = arma::vec(3,arma::fill::value(-3473.383325));
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expected = arma::vec(3, arma::fill::value(-3473.383325));
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result = trap.total_force_particles(0);
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result = trap.total_force_particles(0);
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ASSERT(arma_vector_close_to(expected, result),
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ASSERT(arma_vector_close_to(expected, result),
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"Testing the total force of all particles on particle 0 "
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"Testing the total force of all particles on particle 0 "
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@ -135,7 +132,6 @@ public:
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}
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}
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};
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};
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int main()
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int main()
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{
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{
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PenningTrapTest::test_external_E_field();
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PenningTrapTest::test_external_E_field();
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@ -18,10 +18,10 @@ std::string scientific_format(double d, int width, int prec)
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return ss.str();
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return ss.str();
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}
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}
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std::string scientific_format(const std::vector<double>& v, int width, int prec)
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std::string scientific_format(const std::vector<double> &v, int width, int prec)
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{
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{
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std::stringstream ss;
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std::stringstream ss;
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for(double elem : v) {
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for (double elem : v) {
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ss << scientific_format(elem, width, prec);
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ss << scientific_format(elem, width, prec);
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}
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}
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return ss.str();
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return ss.str();
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@ -37,12 +37,8 @@ static void print_message(std::string msg)
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}
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}
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}
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}
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void m_assert(bool expr,
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void m_assert(bool expr, std::string expr_str, std::string f, std::string file,
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std::string expr_str,
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int line, std::string msg)
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std::string f,
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std::string file,
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int line,
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std::string msg)
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{
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{
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std::string new_assert(f.size() + (expr ? 4 : 6), '-');
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std::string new_assert(f.size() + (expr ? 4 : 6), '-');
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std::cout << "\x1B[36m" << new_assert << "\033[0m\n";
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std::cout << "\x1B[36m" << new_assert << "\033[0m\n";
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@ -54,8 +50,8 @@ void m_assert(bool expr,
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else {
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else {
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std::cout << "\x1B[31mFAIL\033[0m\n";
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std::cout << "\x1B[31mFAIL\033[0m\n";
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print_message(msg);
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print_message(msg);
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std::cout << file << " " << line << ": Assertion \""
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std::cout << file << " " << line << ": Assertion \"" << expr_str
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<< expr_str << "\" Failed\n\n";
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<< "\" Failed\n\n";
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abort();
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abort();
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}
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}
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}
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}
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@ -66,7 +62,7 @@ bool arma_vector_close_to(arma::vec &a, arma::vec &b, double tol)
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return false;
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return false;
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}
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}
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for (int i=0; i < a.n_elem; i++) {
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for (int i = 0; i < a.n_elem; i++) {
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if (std::abs(a(i) - b(i)) >= tol) {
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if (std::abs(a(i) - b(i)) >= tol) {
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return false;
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return false;
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}
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}
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