Penning Trap Simulation
Simulate particle behavior inside a Penning Trap
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test_suite.cpp
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1
13#include "PenningTrap.hpp"
14#include "utils.hpp"
15
16#include <iomanip>
17#include <sstream>
18#include <string>
19
21public:
22 static void test_external_E_field()
23 {
24 PenningTrap trap;
25
26 // Vector containing inputs and expected results
27 std::vector<std::pair<arma::vec, arma::vec>> tests;
28
29 tests.push_back(
30 std::make_pair(arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
31
32 tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
33 arma::vec{96.4852558, 0., 0.}));
34
35 tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
36 arma::vec{96.4852558, 0., 0.}));
37
38 tests.push_back(std::make_pair(arma::vec{0., 10., 0.},
39 arma::vec{0., 96.4852558, 0.}));
40
41 tests.push_back(std::make_pair(arma::vec{0., 0., 10.},
42 arma::vec{0., 0., -192.9705116}));
43
44 arma::vec result;
45 arma::vec v;
46 std::stringstream msg;
47 for (size_t i = 0; i < tests.size(); i++) {
48 v = tests.at(i).first;
49 result = trap.external_E_field(v);
50
51 msg.str("");
52 msg << "Testing the external E field at (" << std::setprecision(2)
53 << v(0) << "," << v(1) << "," << v(2) << ").";
54
55 ASSERT(arma_vector_close_to(result, tests.at(i).second), msg.str());
56 }
57 }
58
59 static void test_external_B_field()
60 {
61 // No point in testing at different points since it's not dependent
62 // on position.
63 PenningTrap trap;
64 arma::vec expected{0., 0., T};
65 arma::vec result = trap.external_B_field(arma::vec{0., 0., 0.});
66 ASSERT(arma_vector_close_to(expected, result),
67 "Testing the external B field at (0,0,0)");
68 }
69
70 static void test_force_on_particle()
71 {
72 PenningTrap trap;
73 arma::vec v{0., 0., 0.};
74
75 // Add particles to test
76 trap.add_particle(Particle(1., 40., arma::vec{0., 0., 0.}, v));
77 trap.add_particle(Particle(1., 40., arma::vec{1., 0., 0.}, v));
78 trap.add_particle(Particle(1., 40., arma::vec{0., 3., 4.}, v));
79
80 // Test p0 and p1
81 arma::vec expected{-1., 0., 0.};
82 arma::vec result = trap.force_on_particle(0, 1);
83 ASSERT(arma_vector_close_to(expected, result),
84 "Testing the force on a particle at (0,0,0) from a "
85 "particle at (1,0,0).");
86
87 // Test p0 and p2
88 expected = arma::vec{0, -.024, -.032};
89 result = trap.force_on_particle(0, 2);
90 ASSERT(arma_vector_close_to(expected, result),
91 "Testing the force on a particle at (0,0,0) from a "
92 "particle at (0,3,4).");
93 }
94
95 static void test_total_force_external()
96 {
97 PenningTrap trap;
98 trap.add_particle(
99 Particle(1., 40., arma::vec{1., 2., 3.}, arma::vec{3., 4., 5.}));
100
101 arma::vec expected{395.58954878, -270.15871624, -57.89115348};
102 arma::vec result = trap.total_force_external(0);
103 ASSERT(arma_vector_close_to(expected, result),
104 "Testing the total external force on a particle at "
105 "(1,2,3) with velocity (3,4,5)");
106 }
107
108 static void test_total_force_particles()
109 {
110 PenningTrap trap;
111 trap.add_particle(
112 Particle(1., 40., arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
113
114 arma::vec expected{0., 0., 0.};
115 arma::vec result = trap.total_force_particles(0);
116 ASSERT(arma_vector_close_to(expected, result),
117 "Testing the total force of all particles on particle 0 "
118 "with only a single particle");
119
120 trap.add_particle(
121 Particle(1., 40., arma::vec{1., 0., 0.}, arma::vec{0., 0., 0.}));
122 trap.add_particle(
123 Particle(1., 40., arma::vec{0., 1., 0.}, arma::vec{0., 0., 0.}));
124 trap.add_particle(
125 Particle(1., 40., arma::vec{0., 0., 1.}, arma::vec{0., 0., 0.}));
126
127 expected = arma::vec(3, arma::fill::value(-3473.383325));
128 result = trap.total_force_particles(0);
129 ASSERT(arma_vector_close_to(expected, result),
130 "Testing the total force of all particles on particle 0 "
131 "with 3 other particles.");
132 }
133};
134
135int main()
136{
137 PenningTrapTest::test_external_E_field();
138 PenningTrapTest::test_external_B_field();
139 PenningTrapTest::test_force_on_particle();
140 PenningTrapTest::test_total_force_external();
141 PenningTrapTest::test_total_force_particles();
142 return 0;
143}
A class for simulating a Penning trap.
A class that holds attributes of a particle.
Definition: Particle.hpp:21
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:30
vec_3d external_E_field(vec_3d r)
Calculate E at point r.
Definition: PenningTrap.cpp:87
vec_3d total_force_particles(unsigned int i)
Calculate the total force on a particle p_i from other particles.
void add_particle(Particle particle)
Add a particle to the system.
Definition: PenningTrap.cpp:82
vec_3d force_on_particle(unsigned int i, unsigned int j)
Calculate the force between 2 particles.
vec_3d external_B_field(vec_3d r)
Calculate B at point r.
Definition: PenningTrap.cpp:95
vec_3d total_force_external(unsigned int i)
Calculate the total external force on a particle.
#define T
1 Tesla. unit:
Definition: constants.hpp:17
Function prototypes and macros that are useful.
bool arma_vector_close_to(arma::vec &a, arma::vec &b, double tol=1e-8)
Test if two armadillo vectors are close to each other.
Definition: utils.cpp:62
#define ASSERT(expr, msg)
A prettier assertion function.
Definition: utils.hpp:45