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z%(id(Ps`j_G)gwE3~)&p=u+J8E4>_L(5-qO1uI_7au+CH%wCHW56@hD%J&*PZ&N6_ zyJ?dt-Z`AnxxR7dX68svE*bJV9rMB+@$yYd_WAz!NOOH`w09pfn%O@(%3m;@^2im} zdUc;{s6p-cOOQT#4ILleg>T_i|6Ztd{VZ7V^Lv@i;2XHFsNv$@TehQ Date: Fri, 20 Oct 2023 15:58:49 +0200 Subject: [PATCH 02/32] Latexify the plots --- src/scripts/plot_2_particles.py | 20 ++++++++++++++++--- src/scripts/plot_3d.py | 14 +++++++++++++ src/scripts/plot_particles_left.py | 14 +++++++++++++ src/scripts/plot_phase_space.py | 18 +++++++++++++++-- src/scripts/plot_relative_error.py | 24 +++++++++++++++++----- src/scripts/plot_single_particle.py | 31 +++++++++++++++++++++++------ 6 files changed, 105 insertions(+), 16 deletions(-) diff --git a/src/scripts/plot_2_particles.py b/src/scripts/plot_2_particles.py index 17f327c..7acfa50 100644 --- a/src/scripts/plot_2_particles.py +++ b/src/scripts/plot_2_particles.py @@ -1,5 +1,19 @@ import matplotlib.pyplot as plt import numpy as np +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): files = [ @@ -29,10 +43,10 @@ def main(): plt.xlabel(r"x $(\mu m)$") plt.ylabel(r"y $(\mu m)$") - plt.title(r"2 particles with and without interactions.") - # plt.legend() - # plt.show() + # plt.title(r"2 particles with and without interactions.") + plt.legend(loc="upper right") plt.savefig("../latex/images/plot_2_particles_xy.pdf") + plt.show() if __name__ == "__main__": diff --git a/src/scripts/plot_3d.py b/src/scripts/plot_3d.py index 811bf6a..2dbbdd4 100644 --- a/src/scripts/plot_3d.py +++ b/src/scripts/plot_3d.py @@ -1,5 +1,19 @@ import matplotlib.pyplot as plt import numpy as np +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): files = [ diff --git a/src/scripts/plot_particles_left.py b/src/scripts/plot_particles_left.py index 85bfd78..42e65b9 100644 --- a/src/scripts/plot_particles_left.py +++ b/src/scripts/plot_particles_left.py @@ -1,4 +1,18 @@ import matplotlib.pyplot as plt +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): with open("output/time_dependent_potential/res.txt") as f: diff --git a/src/scripts/plot_phase_space.py b/src/scripts/plot_phase_space.py index 5a4c3ac..849dbfe 100644 --- a/src/scripts/plot_phase_space.py +++ b/src/scripts/plot_phase_space.py @@ -1,5 +1,19 @@ import matplotlib.pyplot as plt import numpy as np +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): directories = { @@ -21,7 +35,7 @@ def main(): r"particle 1 v", r"particle 2 r", r"particle 2 v", - ] + ] colors = [ "lightskyblue", "deepskyblue", @@ -44,9 +58,9 @@ def main(): axs1[i].legend() axs1[i].set_title(title) - # plt.show() fig1.savefig("../latex/images/phase_space_2_particles_x.pdf") fig2.savefig("../latex/images/phase_space_2_particles_z.pdf") + plt.show() if __name__ == "__main__": diff --git a/src/scripts/plot_relative_error.py b/src/scripts/plot_relative_error.py index 54214c8..10106af 100644 --- a/src/scripts/plot_relative_error.py +++ b/src/scripts/plot_relative_error.py @@ -1,5 +1,19 @@ import matplotlib.pyplot as plt import numpy as np +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): directories = { @@ -22,7 +36,7 @@ def main(): "Relative error for the RK4 method", "Relative error for the forward Euler method" ] - fig1, axs1 = plt.subplots(2,1) + fig1, axs1 = plt.subplots(2,1, sharex=True) for i, (dir, title) in enumerate(zip(directories, titles)): max_err = [] for label, file in zip(labels, files): @@ -33,17 +47,17 @@ def main(): max_err.append(max(r)) axs1[i].plot(t, r, label=label) - axs1[i].set(xlabel=r"t $(\mu s)$", ylabel = r"relative_error $(\mu m)$") + axs1[i].set(ylabel = r"relative_error $(\mu m)$") # xlabel=r"t $(\mu s)$", - + axs1[1].set_xlabel(r"t $(\mu s)$") axs1[i].legend() - axs1[i].set_title(title) + # axs1[i].set_title(title) conv_rate = 1/3 * sum([np.log10(max_err[i+1]/max_err[i])/np.log10(.5) for i in range(3)]) print(conv_rate) - plt.show() # fig1.savefig("../latex/images/phase_space_2_particles_x.pdf") + plt.show() if __name__ == "__main__": diff --git a/src/scripts/plot_single_particle.py b/src/scripts/plot_single_particle.py index f4bdc6a..77ea776 100644 --- a/src/scripts/plot_single_particle.py +++ b/src/scripts/plot_single_particle.py @@ -1,5 +1,19 @@ import matplotlib.pyplot as plt import numpy as np +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def z(t): V_0 = 25.*9.64852558 * 10**4 @@ -9,20 +23,25 @@ def z(t): return 20.*np.cos(w_z*t) def main(): + colors = [ + "lightskyblue", + "deepskyblue", + "salmon", + "tomato", + ] filename = "output/simulate_single_particle/particle_0_r.txt" r = t = [] with open(filename) as f: lines = f.readlines() t = np.linspace(0, 50, len(lines)) r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - - plt.plot(t, r[:, 2], label="approximation") - plt.plot(t, z(t), label="analytical") + plt.plot(t, r[:, 2], label="approximation", color=colors[1]) + plt.plot(t, z(t), label="analytical", color=colors[2], linestyle="dotted") plt.xlabel(r"time $(\mu s)$") plt.ylabel(r"z $(\mu m)$") - plt.title(r"Movement of a single particle in the x direction") - plt.legend() - # plt.savefig("../latex/images/single_particle.pdf") + # plt.title(r"Movement of a single particle in the x direction") + plt.legend(loc="lower right") + plt.savefig("../latex/images/single_particle.pdf") plt.show() -- 2.20.1 From 405493a88891d138f49bfa5387dc9e059ad0ae69 Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Fri, 20 Oct 2023 15:59:39 +0200 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14:22:03 +0200 Subject: [PATCH 04/32] Update plot with seaborn theme --- src/scripts/plot_2_particles.py | 2 +- src/scripts/plot_particles_left.py | 31 ++++++++++++++++++++--------- src/scripts/plot_single_particle.py | 20 ++++++++++++------- 3 files changed, 36 insertions(+), 17 deletions(-) diff --git a/src/scripts/plot_2_particles.py b/src/scripts/plot_2_particles.py index 7acfa50..be7838b 100644 --- a/src/scripts/plot_2_particles.py +++ b/src/scripts/plot_2_particles.py @@ -45,7 +45,7 @@ def main(): plt.ylabel(r"y $(\mu m)$") # plt.title(r"2 particles with and without interactions.") plt.legend(loc="upper right") - plt.savefig("../latex/images/plot_2_particles_xy.pdf") + plt.savefig("../latex/images/plot_2_particles_xy.pdf", bbox_inches="tight") plt.show() diff --git a/src/scripts/plot_particles_left.py b/src/scripts/plot_particles_left.py index 42e65b9..9884cd2 100644 --- a/src/scripts/plot_particles_left.py +++ b/src/scripts/plot_particles_left.py @@ -15,6 +15,14 @@ params = { plt.rcParams.update(params) def main(): + colors = [ + "lightskyblue", + "deepskyblue", + "salmon", + "tomato", + "mediumaquamarine", + "mediumseagreen" + ] with open("output/time_dependent_potential/res.txt") as f: lines = f.readlines() x = [] @@ -28,17 +36,22 @@ def main(): y2.append(float(l[2])) y3.append(float(l[3])) - plt.plot(x,y1,label=f"amplitude: 0.1") - plt.plot(x,y2,label=f"amplitude: 0.4") - plt.plot(x,y3,label=f"amplitude: 0.7") + fig, ax = plt.subplots() + ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0]) + ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2]) + ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4]) + + ax.set_xlabel(r"Frequency $\omega_V$ (MHz)") + ax.set_xlim((0, 2.8)) + ax.set_ylabel(r"Fraction of particles left") + ax.set_ylim((-0.1, 1.1)) + # plt.title(r"The fraction of particles left in the Penning trap " + # "after 500 microseconds for different amplitudes and frequencies") + + ax.legend(loc="upper right") - plt.xlabel(r"$\omega_V$ (MHz)") - plt.ylabel(r"Fraction of particles left") - plt.title(r"The fraction of particles left in the Penning trap " - "after 500 microseconds for different amplitudes and frequencies") - plt.legend() # plt.show() - plt.savefig("../latex/images/particles_left.pdf") + fig.savefig("../latex/images/particles_left.pdf", bbox_inches="tight") if __name__ == "__main__": main() diff --git a/src/scripts/plot_single_particle.py b/src/scripts/plot_single_particle.py index 77ea776..6ee2d16 100644 --- a/src/scripts/plot_single_particle.py +++ b/src/scripts/plot_single_particle.py @@ -28,6 +28,8 @@ def main(): "deepskyblue", "salmon", "tomato", + "mediumaquamarine", + "mediumseagreen" ] filename = "output/simulate_single_particle/particle_0_r.txt" r = t = [] @@ -35,14 +37,18 @@ def main(): lines = f.readlines() t = np.linspace(0, 50, len(lines)) r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - plt.plot(t, r[:, 2], label="approximation", color=colors[1]) - plt.plot(t, z(t), label="analytical", color=colors[2], linestyle="dotted") - plt.xlabel(r"time $(\mu s)$") - plt.ylabel(r"z $(\mu m)$") + + fig, ax = plt.subplots() + ax.plot(t, r[:, 2], label="approximation", color=colors[3]) + ax.plot(t, z(t), label="analytical", color=colors[5], linestyle="dotted") + ax.set_xlabel(r"Time $(\mu s)$") + ax.set_xlim((-5, 55)) + ax.set_ylabel(r"z $(\mu m)$") + ax.set_ylim((-25, 25)) # plt.title(r"Movement of a single particle in the x direction") - plt.legend(loc="lower right") - plt.savefig("../latex/images/single_particle.pdf") - plt.show() + ax.legend(loc="upper right") + fig.savefig("../latex/images/single_particle.pdf", bbox_inches="tight") + # plt.show() if __name__ == "__main__": -- 2.20.1 From 1918dfb3f7da48096ad84472a2e175d8990b384d Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Sun, 22 Oct 2023 14:22:44 +0200 Subject: [PATCH 05/32] Update plots --- latex/images/particles_left.pdf | Bin 17840 -> 135426 bytes latex/images/single_particle.pdf | Bin 104957 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zhniXcf0jct_DO7YbERl!24$;5EJ;VBXE&d3$jz~K+RcLHC~%CuR~Bu*tKxG*f?of8 z@w9Ls*$;gDzSn;GK5~vb0Ka!LaV41KlQ`s;%)YL8_kR9U*ZU{azRy3#G$BK6k!}}1 zv$Ymr`!4mSXpf@?X1$z(Q2{YznvDth7l}O=&(>8LOQ6{*kv#+C(|2U^bxt{*EsSsp zr3-Gq;QJWKm!k*T?OOp1Gi7+aNoan`@8>CZiRUS3-=EFL^i|C*u^xLb|K~iG7|n}i z)z#YK(kUnI+v_(kGTbTFNAOyWkgM)8h?LNAw)3|-HsheA)8_5q`@26c@Tob;=cmUL z8_hpx5m}PF8I)9%$U-0?aD)g|n+O$x#CtRlj{rYNfDa1EMo@+D^YHz%2>iF`+~_d> zJ$XQUU@+)Em@psz-;5t5B>109Sm-|(4-feNvVZ3Y3jD*M%1{J6lE0-vARz$|80rQ^ zV1n?2|I+*SlJ{>teqKJIfA#*U|M39=fkA?Q`S^$N3jg(I5I^rf!~S|J#K#Bz?>^Q4 zCCJYQ;^+CRk)MxO@UH+tLVN;$8~!I$A%3W54gwLo;NKEL{Jj5PX2QbI+#Cc&Og;fY MOeQ9IO$E&V0tLMh=>Px# -- 2.20.1 From eab84f52e95ebb89145e4dd25ad7a4f23b51f53e Mon Sep 17 00:00:00 2001 From: Cory Date: Sun, 22 Oct 2023 14:32:29 +0200 Subject: [PATCH 06/32] Stuff --- src/scripts/plot_3d.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/src/scripts/plot_3d.py b/src/scripts/plot_3d.py index 811bf6a..535a27a 100644 --- a/src/scripts/plot_3d.py +++ b/src/scripts/plot_3d.py @@ -16,8 +16,8 @@ def main(): ] colors = [ "lightskyblue", - "deepskyblue", "salmon", + "deepskyblue", "darkred" ] ax = plt.figure().add_subplot(projection="3d") @@ -31,6 +31,7 @@ def main(): ax.set_xlabel(r"x $(\mu m)$") ax.set_ylabel(r"y $(\mu m)$") ax.set_zlabel(r"z $(\mu m)$") + ax.view_init(10,45) plt.title(r"2 particles with and without interactions.") plt.legend() plt.savefig("../latex/images/3d_plot.pdf") -- 2.20.1 From 0dfda79fda6d2dfffb82475f7758c647c698ac01 Mon Sep 17 00:00:00 2001 From: Cory Date: Sun, 22 Oct 2023 15:09:14 +0200 Subject: [PATCH 07/32] Update plots --- src/scripts/plot_2_particles.py | 17 ++++++++--------- src/scripts/plot_3d.py | 18 ++++++++++-------- 2 files changed, 18 insertions(+), 17 deletions(-) diff --git a/src/scripts/plot_2_particles.py b/src/scripts/plot_2_particles.py index be7838b..92657ae 100644 --- a/src/scripts/plot_2_particles.py +++ b/src/scripts/plot_2_particles.py @@ -23,16 +23,16 @@ def main(): "output/simulate_2_particles/with_interaction/particle_1_r.txt" ] labels = [ - "particle 1 no interaction", - "particle 2 no interaction", - "particle 1 with interaction", - "particle 2 with interaction", + r"$p_1$", + r"$p_2$", + r"$\hat{p}_1$", + r"$\hat{p}_2$", ] colors = [ - "lightskyblue", - "lightskyblue", + "mediumaquamarine", "salmon", - "salmon" + "seagreen", + "darkred" ] for label, color, file in zip(labels, colors, files): with open(file) as f: @@ -43,10 +43,9 @@ def main(): plt.xlabel(r"x $(\mu m)$") plt.ylabel(r"y $(\mu m)$") - # plt.title(r"2 particles with and without interactions.") plt.legend(loc="upper right") + plt.axis("equal") plt.savefig("../latex/images/plot_2_particles_xy.pdf", bbox_inches="tight") - plt.show() if __name__ == "__main__": diff --git a/src/scripts/plot_3d.py b/src/scripts/plot_3d.py index 6aad06c..4134787 100644 --- a/src/scripts/plot_3d.py +++ b/src/scripts/plot_3d.py @@ -11,7 +11,8 @@ params = { "axes.labelsize": "large", "xtick.labelsize": "large", "ytick.labelsize": "large", - "legend.fontsize": "medium" + "legend.fontsize": "medium", + "figure.autolayout": True } plt.rcParams.update(params) @@ -23,15 +24,15 @@ def main(): "output/simulate_2_particles/with_interaction/particle_1_r.txt" ] labels = [ - "particle 1 no interaction", - "particle 2 no interaction", - "particle 1 with interaction", - "particle 2 with interaction", + r"$p_1$", + r"$p_2$", + r"$\hat{p}_1$", + r"$\hat{p}_2$", ] colors = [ - "lightskyblue", + "mediumaquamarine", "salmon", - "deepskyblue", + "seagreen", "darkred" ] ax = plt.figure().add_subplot(projection="3d") @@ -45,7 +46,8 @@ def main(): ax.set_xlabel(r"x $(\mu m)$") ax.set_ylabel(r"y $(\mu m)$") ax.set_zlabel(r"z $(\mu m)$") - ax.view_init(10,45) + ax.view_init(10,-35) + plt.title(r"2 particles with and without interactions.") plt.legend() plt.savefig("../latex/images/3d_plot.pdf") -- 2.20.1 From e42c108d202d699a9e50e11e720cf2ce70517be9 Mon Sep 17 00:00:00 2001 From: Cory Date: Sun, 22 Oct 2023 15:19:45 +0200 Subject: [PATCH 08/32] Made some changes --- src/scripts/plot_2_particles.py | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/src/scripts/plot_2_particles.py b/src/scripts/plot_2_particles.py index 92657ae..486f107 100644 --- a/src/scripts/plot_2_particles.py +++ b/src/scripts/plot_2_particles.py @@ -34,13 +34,18 @@ def main(): "seagreen", "darkred" ] + start_pos = set() for label, color, file in zip(labels, colors, files): with open(file) as f: lines = f.readlines() t = np.linspace(0, 50, len(lines)) r = np.array([list(map(float, line.strip().split(","))) for line in lines]) plt.plot(r[:,0], r[:,1], label=label, color=color) + start_pos.add((r[0,0],r[0,1])) + for pos in start_pos: + plt.plot(*pos, "o", color="black") + plt.xlabel(r"x $(\mu m)$") plt.ylabel(r"y $(\mu m)$") plt.legend(loc="upper right") -- 2.20.1 From 8373deea81125611251d855b732359d28c358b39 Mon Sep 17 00:00:00 2001 From: Cory Date: Sun, 22 Oct 2023 16:34:48 +0200 Subject: [PATCH 09/32] Update plots --- src/scripts/plot_phase_space.py | 63 ++++++++++++++++------------- src/scripts/plot_single_particle.py | 6 +-- 2 files changed, 39 insertions(+), 30 deletions(-) diff --git a/src/scripts/plot_phase_space.py b/src/scripts/plot_phase_space.py index 849dbfe..b989961 100644 --- a/src/scripts/plot_phase_space.py +++ b/src/scripts/plot_phase_space.py @@ -20,21 +20,13 @@ def main(): "output/simulate_2_particles/no_interaction/", "output/simulate_2_particles/with_interaction/", } - titles = { - "particles without interaction", - "particles with interaction" - } files = [ - "particle_0_r.txt", - "particle_0_v.txt", - "particle_1_r.txt", - "particle_1_v.txt", + "particle_0", + "particle_1", ] labels = [ - r"particle 1 r", - r"particle 1 v", - r"particle 2 r", - r"particle 2 v", + [r"$p_1$", r"$\hat{p}_1$"], + [r"$p_2$", r"$\hat{p}_2$"] ] colors = [ "lightskyblue", @@ -42,25 +34,42 @@ def main(): "salmon", "tomato", ] - fig1, axs1 = plt.subplots(2,1) - fig2, axs2 = plt.subplots(2,1) - for i, (dir, title) in enumerate(zip(directories, titles)): - for label, color, file in zip(labels, colors, files): - with open(dir+file) as f: + linestyles = [ + "solid", + "dotted" + ] + fig1, axs1 = plt.subplots(2,1,sharex=True) + fig2, axs2 = plt.subplots(2,1,sharex=True) + for i, (file, label) in enumerate(zip(files, labels)): + for j, (dir, linestyle) in enumerate(zip(directories, linestyles)): + with open(dir+file+"_r.txt") as f: lines = f.readlines() t = np.linspace(0, 50, len(lines)) r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - axs1[i].plot(t, r[:,0], label=label, color=color) - axs2[i].plot(t, r[:,2], label=label, color=color) - - axs1[i].set(xlabel=r"t $(\mu s)$", ylabel = r"z $(\mu m)$") - - axs1[i].legend() - axs1[i].set_title(title) + axs1[i].plot(t, r[:,0], label=f"{label[j]} r", linestyle=linestyle) + axs2[i].plot(t, r[:,2], label=f"{label[j]} r", linestyle=linestyle) - fig1.savefig("../latex/images/phase_space_2_particles_x.pdf") - fig2.savefig("../latex/images/phase_space_2_particles_z.pdf") - plt.show() + with open(dir+file+"_v.txt") as f: + lines = f.readlines() + t = np.linspace(0, 50, len(lines)) + r = np.array([list(map(float, line.strip().split(","))) for line in lines]) + axs1[i].plot(t, r[:,0], label=f"{label[j]} v", linestyle=linestyle) + axs2[i].plot(t, r[:,2], label=f"{label[j]} v", linestyle=linestyle) + + + axs1[1].set(xlabel=r"t $(\mu s)$", ylabel = r"x $(\mu m)$") + axs1[0].set(ylabel = r"x $(\mu m)$") + axs2[1].set(xlabel=r"t $(\mu s)$", ylabel = r"z $(\mu m)$") + axs2[0].set(ylabel = r"z $(\mu m)$") + + axs1[i].legend() + # axs1[i].set_title(title) + axs2[i].legend() + # axs2[i].set_title(title) + + fig1.savefig("../latex/images/phase_space_2_particles_x.pdf", bbox_inches="tight") + fig2.savefig("../latex/images/phase_space_2_particles_z.pdf", bbox_inches="tight") + # plt.show() if __name__ == "__main__": diff --git a/src/scripts/plot_single_particle.py b/src/scripts/plot_single_particle.py index 6ee2d16..a80a8b4 100644 --- a/src/scripts/plot_single_particle.py +++ b/src/scripts/plot_single_particle.py @@ -39,9 +39,9 @@ def main(): r = np.array([list(map(float, line.strip().split(","))) for line in lines]) fig, ax = plt.subplots() - ax.plot(t, r[:, 2], label="approximation", color=colors[3]) - ax.plot(t, z(t), label="analytical", color=colors[5], linestyle="dotted") - ax.set_xlabel(r"Time $(\mu s)$") + ax.plot(t, r[:, 2], label="approximation", color="mediumseagreen") + ax.plot(t, z(t), label="analytical", color="black", linestyle="dotted") + ax.set_xlabel(r"t $(\mu s)$") ax.set_xlim((-5, 55)) ax.set_ylabel(r"z $(\mu m)$") ax.set_ylim((-25, 25)) -- 2.20.1 From 493bac88c34c8913da8f4190e48556b86bdbfab6 Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Sun, 22 Oct 2023 17:14:03 +0200 Subject: [PATCH 10/32] Update document --- latex/appendix/appendix.tex | 44 ------- latex/appendix/appendix_a.tex | 29 +++++ latex/appendix/appendix_b.tex | 145 +++++++++++++++++++++ latex/appendix/appendix_c.tex | 21 +++ latex/images/3d_plot.pdf | Bin 132527 -> 159580 bytes latex/images/particles_left.pdf | Bin 135426 -> 135426 bytes latex/images/phase_space_2_particles_x.pdf | Bin 137791 -> 169476 bytes latex/images/phase_space_2_particles_z.pdf | Bin 82638 -> 151392 bytes latex/images/plot_2_particles_xy.pdf | Bin 157214 -> 184652 bytes latex/images/relative_error.pdf | Bin 0 -> 165973 bytes latex/main.pdf | Bin 0 -> 673380 bytes latex/main.tex | 13 +- latex/sections/introduction.tex | 4 +- latex/sections/methods.tex | 116 +++++++++++++---- latex/sections/results.tex | 83 +++++++++++- 15 files changed, 373 insertions(+), 82 deletions(-) delete mode 100644 latex/appendix/appendix.tex create mode 100644 latex/appendix/appendix_a.tex create mode 100644 latex/appendix/appendix_b.tex create mode 100644 latex/appendix/appendix_c.tex create mode 100644 latex/images/relative_error.pdf create mode 100644 latex/main.pdf diff --git a/latex/appendix/appendix.tex b/latex/appendix/appendix.tex deleted file mode 100644 index eac7190..0000000 --- a/latex/appendix/appendix.tex +++ /dev/null @@ -1,44 +0,0 @@ -\documentclass[../main.tex]{subfiles} -\graphicspath{{\subfix{../images/}}} - -\begin{document} -\appendix -\section*{Appendix A}\label{sec:appendix_a} -Equations given -\begin{equation}\label{eq:newton_second} - m \ddot{\mathbf{r}} = \sum_{i} \mathbf{F}_{i} -\end{equation} -% - -% -\begin{equation}\label{eq:e_field_point} - \mathbf{E} = k_{e} \sum_{j=1}^{n} q_j \frac{\mathbf{r} - \mathbf{r}_{j}}{|\mathbf{r} - \mathbf{r}_{j}|^{3}} -\end{equation} -% -\begin{equation}\label{eq:e_field_potential} - \mathbf{E} = - \nabla V -\end{equation} - -\section*{Appendix B}\label{sec:appendix_b} -Sum of all forces -\begin{align*} - sum -\end{align*} - -We find the physical coordinates from $x(t) = \text{Re} f(t)$ and $y(t) = \text{Im} f(t)$, where $f(t)$ is given by equation \eqref{eq:general_solution}. - -We can rewrite $f(t)$ using the definition as -\begin{align*} - % f(t) =& A_{+}e^{-i(\omega_{+} t + \phi_{+})} + A_{-}e^{-i(\omega_{-} t + \phi_{-})} \\ - f(t) =& A_{+}(\cos{\omega_{+} t + \phi_{+}} - i \sin{\omega_{+} t + \phi_{+}}) \\ - \numberthis \label{eq:general_solution_trig} - &+ A_{-}(\cos{\omega_{-} t + \phi_{-}} - i \sin{\omega_{-} t + \phi_{-}}) -\end{align*} -% -If we rearrange the right side of equation \eqref{eq:general_solution_trig}, we find the physical coordinates -\begin{align}\label{eq:physical_coord} - x(t) &= A_{+}(\cos{\omega_{+} t + \phi_{+}}) + A_{-}(\cos{\omega_{-} t + \phi_{-}}) \\ - y(t) &= - A_{+}(i \sin{\omega_{+} t + \phi_{+}}) - A_{-}(i \sin{\omega_{-} t + \phi_{-}}) -\end{align} - -\end{document} \ No newline at end of file diff --git a/latex/appendix/appendix_a.tex b/latex/appendix/appendix_a.tex new file mode 100644 index 0000000..ccc0a85 --- /dev/null +++ b/latex/appendix/appendix_a.tex @@ -0,0 +1,29 @@ +\documentclass[../main.tex]{subfiles} +\graphicspath{{\subfix{../images/}}} + +\begin{document} + +\section{Equations of electrodynamics and classical mechanics}\label{sec:appendix_a} +Newton's second law +\begin{equation}\label{eq:newton_second} + m \ddot{\mathbf{r}} = \sum_{i} \mathbf{F}_{i} +\end{equation}% +% +Lorentz force +\begin{equation}\label{eq:lorentz_force} + \mathbf{F} = q \mathbf{E} + q \mathbf{v} \times \mathbf{B}, +\end{equation}% +% +Electric field +\begin{equation}\label{eq:e_field_potential} + \mathbf{E} = - \nabla V +\end{equation} % +% +Electric field at a point $\mathbf{r}$ +\begin{equation}\label{eq:e_field_point} + \mathbf{E} = k_{e} \sum_{j=1}^{n} q_j \frac{\mathbf{r} - \mathbf{r}_{j}}{|\mathbf{r} - \mathbf{r}_{j}|^{3}} +\end{equation} + + + +\end{document} \ No newline at end of file diff --git a/latex/appendix/appendix_b.tex b/latex/appendix/appendix_b.tex new file mode 100644 index 0000000..772f73e --- /dev/null +++ b/latex/appendix/appendix_b.tex @@ -0,0 +1,145 @@ +\documentclass[../main.tex]{subfiles} +\graphicspath{{\subfix{../images/}}} + +\begin{document} +\section{Derivation of equations}\label{sec:appendix_b} +% Problem 1 +\subsection{Equations of motion}\label{sec:eq_motion} % +First, we need to define the velocity of the particle +\begin{align*} + \mathbf{v} \equiv \frac{d \mathbf{r}}{dt} &= \bigg( \frac{dx}{dt}, \frac{dy}{dt}, \frac{dz}{dt} \bigg). +\end{align*} % +We can rewrite the velocity as $\dot{r} = (\dot{x}, \dot{y}, \dot{z})$, and find the cross product +\begin{align*} + q \mathbf{v} \cross \mathbf{B} &= + q \begin{vmatrix} + \hat{e}_{x} & \hat{e}_{y} & \hat{e}_{z} \\ + \dot{x} & \dot{y} & \dot{z} \\ + 0 & 0 & B_{0} + \end{vmatrix} + = q \big( B_{0} \dot{y}, -B_{0} \dot{x}, 0 \big). +\end{align*} % +We are considering an ideal Penning traps, where we define the electric potential as +\begin{align*} + V(x, y, z) &= \frac{V_{0}}{2 d^{2}}(2z^{2} - x^{2} - y^{2}). +\end{align*} % +The relationship between the electric field $\mathbf{E}$ and the electric potential of the field is given by +\begin{align*} + \mathbf{E} &= - \nabla V \\ + &= - \bigg( \frac{dV}{dx}, \frac{dV}{dy} \frac{dV}{dz} \bigg) \\ + &= \frac{V_{0}}{d^{2}} \big( x, y, -2z \big). +\end{align*} % +We can now express the Lorentz force as +\begin{align*} + \mathbf{F} &= q \mathbf{E} + q \mathbf{v} \cross \mathbf{B} \\ + &= \frac{q V_{0}}{d^{2}} \big( x, y, -2z \big) + \big(q B_{0} \dot{y}, -q B_{0} \dot{x}, 0 \big), +\end{align*} % +and insert it into Newtons equation \eqref{eq:newton_second}. We get +\begin{align*} + \ddot{\mathbf{r}} &= \bigg( \frac{q V_{0}}{m d^{2}} x, \frac{q V_{0}}{m d^{2}} y, -\frac{2 q V_{0}}{m d^{2}} z \bigg) + \bigg(\frac{q B_{0}}{m} \dot{y}, -\frac{q B_{0}}{m} \dot{x}, 0 \bigg), +\end{align*} % +which can be written as +\begin{align*} + \ddot{x} &= \frac{q V_{0}}{m d^{2}} x + \frac{q B_{0}}{m} \dot{y}, \\ + \ddot{y} &= \frac{q V_{0}}{m d^{2}} y - \frac{q B_{0}}{m} \dot{x}, \\ + \ddot{z} &= -\frac{2 q V_{0}}{m d^{2}} z. +\end{align*} +If we define +\begin{equation*} + \omega_{0} \equiv \frac{q B_{0}}{m}, \quad \omega_{z}^{2} \equiv \frac{2 q V_{0}}{m d^{2}}, +\end{equation*} +the equations of motion can be written as +\begin{align*} + \ddot{x} &= \frac{1}{2} \omega_{z}^{2} x + \omega_{0} \dot{y}, \\ + \ddot{y} &= \frac{1}{2} \omega_{z}^{2} y - \omega_{0} \dot{x}, \\ + \ddot{z} &= -\omega_{z}^{2} z. \\ +\end{align*} + +\subsection{General solution}\label{sec:eq_general} +We consider the characteristic equation of a second order differential equation \cite{lindstrom:2016:ch10:5}, +\begin{align*} + r^{2} + \omega_{z}^{2} &= 0 \\ + r &= \pm \sqrt{- \omega_{z}^{2}}. +\end{align*} % +The characteristic equation has two complex roots +\begin{equation*} + r_{1} = - i \omega_{z}, \quad r_{2} = i \omega_{z}, +\end{equation*} +which give us solutions in the general form +\begin{equation*} + z = c_{1} e^{i \omega_{z} t} + c_{2} e^{-i \omega_{z} t}. +\end{equation*} +In addition, for a complex number $z = a + ib$, we can define $e^{z} \equiv e^{a} (\cos{b} + i \sin{b})$ \cite{lindstrom:2016:ch3}. We can rewrite the general solution as +\begin{align*} + c_{1} e^{i \omega_{z} t} + c_{2} e^{-i \omega_{z} t} &= c_{1} (\cos{\omega_{z} t} + i \sin{\omega_{z} t}) \\ + & \quad + c_{2} (\cos{\omega_{z} t} - i \sin{\omega_{z} t} \\ + &= E \cos{\omega_{z} t} + i F \sin{\omega_{z} t}. +\end{align*} % +% +\subsection{Complex function}\label{sec:eq_complex} % +In sec. \ref{sec:eq_motion} we found the differential equations for $\ddot{x}$ and $\ddot{y}$. To derive a single differential equation, we introduce the complex function $f(t) = x(t) + iy(t)$, which gives us +\begin{align*} + 0 &= \Big(\ddot{x} - \omega_{0} \dot{y} - \frac{1}{2} \omega_{z}^{2} x \Big) + i \Big(\ddot{y} + \omega_{0} \dot{x} - \frac{1}{2} \omega_{z}^{2} y \Big) \\ + &= \ddot{x} - \omega_{0} \dot{y} - \frac{1}{2} \omega_{z}^{2} x + i\ddot{y} + i\omega_{0} \dot{x} - i \frac{1}{2} \omega_{z}^{2} y \\ + &= \ddot{x} + i\ddot{y} + i\omega_{0} \dot{x} - \omega_{0} \dot{y} - \frac{1}{2} \omega_{z}^{2} x - i \frac{1}{2} \omega_{z}^{2} y. \\ +\end{align*} +Using the definition $i = \sqrt{-1}$, we can rewrite +\begin{equation*} + i \omega_{0} \dot{x} + (-1) \omega_{0} \dot{y} = i \omega_{0} \dot{x} + i^{2} \omega_{0} \dot{y}. +\end{equation*} +This gives us a single differential equation +\begin{align*} + 0 &= \ddot{x} + i\ddot{y} + i\omega_{0} (\dot{x} + i \dot{y}) - \frac{1}{2} \omega_{z}^{2} x - i \frac{1}{2} \omega_{z}^{2} y \\ + &= \ddot{f} + i \omega_{0} \dot{f} - \frac{1}{2} \omega_{z}^{2} f. +\end{align*} +% +\subsection{Physical coordinates}\label{sec:eq_coord} +We can rewrite eq. \eqref{eq:general_solution}, as +\begin{align*} + f(t) &= A_{+}e^{-i(\omega_{+} t + \phi_{+})} + A_{-}e^{-i(\omega_{-} t + \phi_{-})} \\ + &= A_{+}(\cos{(\omega_{+} t + \phi_{+})} - i \sin{(\omega_{+} t + \phi_{+})}) \\ + % \numberthis \label{eq:general_solution_trig} + & \quad + A_{-}(\cos{(\omega_{-} t + \phi_{-})} - i \sin{(\omega_{-} t + \phi_{-})}). +\end{align*} % +% +\subsection{Upper and lower bounds}\label{sec:upper_lower_bound} +To obtain the upper and lower bounds of the particle's distance from the origin, we first find an expression for the second norm (?) defined as $|f(t)| = \sqrt{(x(t))^{2} + (y(t))^{2}}$. +\begin{align*} + (x(t))^{2} &= \big( A_{+}\cos(\omega_{+} t + \phi_{+}) + A_{-}\cos(\omega_{-} t + \phi_{-}) \big)^{2} \\ + &= A_{+}^{2} \cos^{2}(\omega_{+} t + \phi_{+}) \\ + & \quad + 2 A_{+}A_{-} \cos(\omega_{+} t + \phi_{+})\cos(\omega_{-} t + \phi_{-}) \\ + & \quad + A_{-}^{2}\cos^{2}(\omega_{-} t + \phi_{-}), \\ +\end{align*} % +\begin{align*} + (y(t))^{2} &= \big( - A_{+} \sin(\omega_{+} t + \phi_{+}) - A_{-} \sin(\omega_{-} t + \phi_{-}) \big)^{2} \\ + &= A_{+}^{2} \sin^{2}(\omega_{+} t + \phi_{+}) \\ + & \quad + 2 A_{+}A_{-} \sin(\omega_{+} t + \phi_{+})\sin(\omega_{-} t + \phi_{-}) \\ + & \quad + A_{-}^{2} \sin^{2}(\omega_{-} t + \phi_{-}). +\end{align*} % +We insert these expressions, and find +\begin{align*} + |f(t)| &= \sqrt{(x(t))^{2} + (y(t))^{2}} \\ + &= \sqrt{A_{+}^{2} + 2 A_{+} A_{-} \cos^{2}(\alpha) + A_{-}^{2}}, +\end{align*} % +where $\alpha = (\omega_{+} - \omega_{-}) t +( \phi_{+} - \phi_{-})$. If we set $\alpha = 0$ we get $\cos(0) = 1$, and obtain the upper bound +\begin{align*} + R_{+} &= \sqrt{A_{+}^{2} + 2 A_{+} A_{-} + A_{-}^{2}} \\ + &= \sqrt{(A_{+} + A_{-})^{2}} \\ + &= A_{+} + A_{-}. +\end{align*} +If $\alpha = \pi$ we get $\cos(\pi) = -1$, and find the lower bound +\begin{align*} + R_{-} &= \sqrt{A_{+}^{2} - 2 A_{+} A_{-} + A_{-}^{2}} \\ + &= \sqrt{(A_{+} - A_{-})^{2}} \\ + &= |A_{+} - A_{-}|. +\end{align*} % +% +\subsection{Bounded solution}\label{sec:bounded_solution} + + +\end{document} + +% \begin{align*} +% \omega_{+} - \omega_{-} &= \frac{\omega_{0} + \sqrt{\omega_{0}^{2} - 2 \omega_{z}^{2}}}{2} - \frac{\omega_{0} - \sqrt{\omega_{0}^{2} - 2 \omega_{z}^{2}}}{2} \\ +% &= +% \end{align*} \ No newline at end of file diff --git a/latex/appendix/appendix_c.tex b/latex/appendix/appendix_c.tex new file mode 100644 index 0000000..0a3edd7 --- /dev/null +++ b/latex/appendix/appendix_c.tex @@ -0,0 +1,21 @@ +\documentclass[../main.tex]{subfiles} +\graphicspath{{\subfix{../images/}}} + +\begin{document} + +\section{Numbers and units}\label{sec:appendix_c} +\begin{table}[H] + \centering + \begin{tabular}[c]{lll} + Constant & Value & Unit \\ + \hline + $k_{e}$ (Coulomb) & $1.38935333 \cross 10^{5}$ & $\frac{u (\mu m)^{3}}{(\mu s)^{2} e^{2}}$ \\ + T (Tesla) & $9.64852558 \cross 10^{1}$ & $\frac{u}{(\mu s) e}$ \\ + V (Volt) & $9.64852558 \cross 10^{7}$ & $\frac{u (\mu m)^{2}}{(\mu s)^{2} e}$ \\ + \hline + \end{tabular} + \caption{Value of the Coulomb constant ($k_{e}$), and the SI units for magnetic field strength ($T$) and electric potential ($V$). The base units are given by length in micrometre ($\mu m$), time in microseconds ($\mu s$), mass in ($u$), and charge in elementary charge ($e$).} + \label{tab:constants} +\end{table} + +\end{document} \ No newline at end of file diff --git a/latex/images/3d_plot.pdf b/latex/images/3d_plot.pdf index 98a1825778ede984b5d8eed1a4c17008dd6329b8..4a25654cd8fb80fb1dfea02e85657ed6e4cff11f 100644 GIT binary patch delta 62421 zcmV(vKzsI0FUob8mN@-$FSvx0L|P@zyr5OZFSqi zUk17x@axli{Z>StA|+B3OSFk5QN+E;bNAUhcV^^@h!rdT^1uDt|KorAcYph@|N5`K z{+oaE?Js})_V51lxBB&W`u88c%GclN-~ahlzy4bP{=>JT-~RsFe^}-F(NDkRPkqeq zOTU%RPyg$;Z~y+=U;Zoo$$$PT-*4S(>@v^!N570)>Rn}@um8li{q=8r;M+g->2Kfm z`94SOwSCq0{Vv^DKka*)XX(>1^vkag^}4>Vz5AXT|MADaF`PHv^2Vp;pz8Vk<6q~< zw{Nx7?|qI|)>kdAr@!xeT@ttkPx3+xR_D?@<(In~(mG-sf_pwgt@zuZWe};b7+~|w{@?Ul4yMFzR z{{7uo)eFlt_YYR(A9f$#{*6}T-{>*wkJnh^!5I1WSHJr9m;ZhJs=Ar6>YZz~{q?JV z&peDd`>OMN{YClS+nl=g+4bum{PN>twe;`vjM3^`^?Y0Pd(pEteNc<=SAXw)^Q-^m 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zgAOMtqV1c@1YwR#SLn(5@Ojj}pWJ>x-2{Bwk2cda__aZ@kVKNTC{;M`e4BOH%lyPR zEeUiIUy8c8eI7gcM=#mf{T}eS@9w6aB**Q$!hB^bx{Lhf5Vum^mCu84!UWaR-!f)9Iis|C+nl*6;tREJsw6nhe$eq>anDiL|0DBh3pzD7vq$x1@21Bef@l%)vFdGS(5 z30;&r%9aH)GQ}xM%=xBL(1~(X=&IPID)JT?N*wuCQlkl}l&pW;gED7IGGn{{rBX@z z=2ceOxnTSQAMxb)Gx(2wohkR8%*k>Gf(VkDuZ2M*&37IVB%HVDg?S_~tnN~hm)rcA zQ*r4}^U7jz^LA@2)Wy%GnTC=#r_gb!s{1pOl2jwYkfSh zD29C~d0D=z&K#nsqaKMm~ipq<@{6B>H0m=XX literal 0 HcmV?d00001 diff --git a/latex/main.tex b/latex/main.tex index f9c63f7..e7ab021 100644 --- a/latex/main.tex +++ b/latex/main.tex @@ -10,6 +10,7 @@ % Allows special characters (including æøå) \usepackage[utf8]{inputenc} \usepackage{fontawesome} +% \usepackage{tabularx} % \usepackage[english]{babel} %% Note that you may need to download some of these packages manually, it depends on your setup. @@ -24,12 +25,12 @@ \usepackage{listings} % display code \usepackage{subfigure} % imports a lot of cool and useful figure commands % \usepackage{float} -% \usepackage[section]{placeins} +%\usepackage[section]{placeins} \usepackage{algorithm} \usepackage[noend]{algpseudocode} \usepackage{subfigure} \usepackage{tikz} -% \usetikzlibrary{quantikz2} +\usetikzlibrary{quantikz2} % defines the color of hyperref objects % Blending two colors: blue!80!black = 80% blue and 20% black \hypersetup{ % this is just my personal choice, feel free to change things @@ -63,9 +64,6 @@ % Introduction \subfile{sections/introduction} -% Theory -\subfile{sections/theory} - % Methods \subfile{sections/methods} @@ -76,7 +74,10 @@ \subfile{sections/conclusion} -\subfile{appendix/appendix} +\appendix +\subfile{appendix/appendix_a} +\subfile{appendix/appendix_b} +\subfile{appendix/appendix_c} \onecolumngrid diff --git a/latex/sections/introduction.tex b/latex/sections/introduction.tex index 567af9f..0ef8ecb 100644 --- a/latex/sections/introduction.tex +++ b/latex/sections/introduction.tex @@ -2,12 +2,12 @@ \graphicspath{{\subfix{../images/}}} \begin{document} - +% \section{Introduction} We are surrounded by matter, which are made up of elementary particles. In the field of physics we want to understand the properties of these particles, measure their physical quantities, not to mention explain the origin of mass \cite{britannica:2023:matter}. However, to study a particle, it is necessary isolate and contain it over time. The Penning trap is a device, able to confine charged particles for a period of time. This concept was evolved from F. M. Penning's implementation of magnetic fiels to a vaccum gauge, and J. R. Pierce's work with electron beams, and put into practice by Hans Dehmelt. In 1973 Dehmelt and his group of researchers were able to confine a particle and store it over several months \cite{vogel:2018:ch1}. In practice, a Penning trap is not easy to obtain, and an experiment is both time consuming and expensive. A numerical approach, allow us to study the effects of the Penning trap on a charged particle, without the cost. We can use ordinary differential equations to model the particle's movement, confined within an Penning trap. Our focus will be on an ideal Penning trap, where an electrostatic field confines the particle in z-direction, and a magnetic field confines it in the radial direction. We will use numerical methods to model a single particle, and study the particle motion in radial direction. In addition, we will model a system of particles, and study their motion both with and without particle interaction. - +% \end{document} \ No newline at end of file diff --git a/latex/sections/methods.tex b/latex/sections/methods.tex index 125bd37..283e16d 100644 --- a/latex/sections/methods.tex +++ b/latex/sections/methods.tex @@ -2,40 +2,101 @@ \graphicspath{{\subfix{../images/}}} \begin{document} -\section{Methods} +\section{Theory and methods} +% Problem 1 +When we study the Penning traps effect on a particle with a charge $q$, we need to consider the forces acting on the particle. We can use Newton's second law \eqref{eq:newton_second} to determine the position of a particle as a function of time. In addition, we introduce the Lorentz force \eqref{eq:lorentz_force}, which describes the force on the particle. The position can be described by % +% +\begin{equation}\label{eq:newton_lorentz} + m \ddot{\mathbf{r}} = (q \mathbf{E} + q \mathbf{v} \times \mathbf{B}). +\end{equation} +% +Using eq. \eqref{eq:newton_lorentz} we derive the differential equations in sec. \ref{sec:eq_motion}, and can rewrite them as +\begin{align} + \label{eq:motion_x} + \ddot{x} - \omega_{0} \dot{y} - \frac{1}{2} \omega_{z}^{2} x &= 0, \\ + \label{eq:motion_y} + \ddot{y} - \omega_{0} \dot{x} - \frac{1}{2} \omega_{z}^{2} y &= 0, \\ + \label{eq:motion_z} + \ddot{z} + \omega_{z}^{2} z &= 0, +\end{align} % +% +We find the general solution for eq. \eqref{eq:motion_z} +\begin{equation}\label{eq:eq_general} + z(t) = c_{1} e^{i \omega_{z} t} + c_{2} e^{-i \omega_{z} t}, +\end{equation} % +derived in sec. \ref{sec:eq_general}. Continuing, we will use a Calcium ion with a single positive charge. That is, we assume the charge of the particle is $q > 0$. + +% Problem 2 +Since eq. \eqref{eq:motion_x} and eq. \eqref{eq:motion_y} are coupled, we want to rewrite them as a single differential equation. We derive this in sec. \ref{sec:eq_complex}, and the resulting equation is given by +\begin{equation}\label{eq:single_differential} + \ddot{f} + i \omega_{0} \dot{f} - \frac{1}{2} \omega_{z}^{2} f = 0. +\end{equation} + +% Problem 3 +Eq. \eqref{eq:single_differential} has a general solution given by +\begin{equation}\label{eq:general_solution} + f(t) = A_{+}e^{-i(\omega_{+} t + \phi_{+})} + A_{-}e^{-i(\omega_{-} t + \phi_{-})}. +\end{equation} % +The amplitude $A_{+}$ and $A_{-}$ are positive, the phases $\phi_{+}$ and $\phi_{-}$ are constant, and the rate is given by +\begin{equation*} + \omega_{\pm} = \frac{\omega_{0} \pm \sqrt{\omega_{0}^{2} - 2 \omega_{z}^{2}}}{2}. +\end{equation*} +We find the physical coordinates at a given time $t$ using +\begin{equation*} + x(t) = \text{Re}f(t), \quad y(t) = \text{Im}f(t), +\end{equation*} % +and eq. \eqref{eq:general_solution}. We can rearrange the right hand side of the derived expression in \ref{sec:eq_coord}, and find the physical coordinates +\begin{align}\label{eq:physical_coord} + x(t) &= A_{+} \cos(\omega_{+} t + \phi_{+}) + A_{-} \cos(\omega_{-} t + \phi_{-}) \\ + y(t) &= - A_{+} \sin(\omega_{+} t + \phi_{+}) - A_{-} \sin(\omega_{-} t + \phi_{-}) +\end{align} % +% Problem 4 +However, to obtain a bound on the particle's movement in the radial direction, we have to ensure that +\begin{align*} + |f(t)| &= \sqrt{(x(t))^{2} + (y(t))^{2}}. \\ +\end{align*} % +When $t \rightarrow \infty$, the upper and lower limits are +\begin{align} + R_{+} &= A_{+} + A_{-} \\ + R_{-} &= |A_{+} - A_{-}|, +\end{align} +derived in sec. \ref{sec:bounded_solution}. + +% Problem 3 +To obtain the bounded solution, we need to consider the expression +\begin{equation*} + \alpha = (\omega_{+} - \omega_{-}) t +( \phi_{+} - \phi_{-}). +\end{equation*} +When $t \rightarrow \infty$ the constant phases will not affect the expression, we obtain a bounded solution if we consider the rate such that $|f(t)| < \infty$. That is, we need $\omega_{0}^{2} - 2 \omega_{z}^{2}$ in eq. \eqref{eq:angular_rate} to be real. +\begin{align*} + \omega_{0}^{2} - 2 \omega_{z}^{2} = 0, \quad \omega_{0} > 2 \omega_{z} +\end{align*} +\begin{equation}\label{eq:angular_rate} + \omega_{\pm} = \frac{\omega_{0} \pm \sqrt{\omega_{0}^{2} - 2 \omega_{z}^{2}}}{2} +\end{equation} + +We find the solution +Physical properties given by newtons second law \eqref{eq:newton_second} + +The particle moves and its position can be determined using newton. where the electric field + + + -\subsection{Units and constants} -Before continuing, we need to define the units we'll be working with. -Since we are working with particles, we need small units to work with so the -numbers we are working with aren't so small that they could potentially lead -to large round-off errors in our simulation. The units that we will use are listed in Table~\ref{tab:units}. \begin{table}[H] - \begin{center} + \centering \begin{tabular}[c]{lll} - Dimension & Unit & Symbol \\ + Constant & Value & \\ \hline - Length & micrometer & $\mu m$ \\ - Time & microseconds & $\mu s$ \\ - Mass & atomic mass unit & $u$ \\ - Charge & the elementary charge & $e$ \\ + $B_{0}$ & $1.00 T$ & $9.65 \cross 10^{1} \frac{u}{(\mu s) e}$ \\ + $V_{0}$ & $25.0 mV$ & $2.41 \cross 10^{6} \frac{u (\mu m)^{2}}{(\mu s)^{2} e}$ \\ + $d$ & $500 \ \mu m$ & \\ \hline \end{tabular} - \end{center} - \caption{The set of units we'll be working with.}\label{tab:units} + \caption{Default configuration of the Penning trap, where the value of T and V can be found in table \ref{tab:constants}.} + \label{tab:penning_config} \end{table} -With these base units, we get -\begin{equation} - k_e = 1.3893533 \cdot 10^5 \frac{u(\mu m)^3}{(\mu s)^2 e}, -\end{equation} -and we get that the unit for magnetic field strength (Tesla, $T$) and electric potential (Volt, $V$) are -\begin{equation} - \begin{split} - T &= 9.64852558 \cdot 10^1 \frac{u}{(\mu s) e} \\ - V &= 9.64852558 \cdot 10^7 \frac{u (\mu m)^2}{(\mu s)^2 e}. \\ - \end{split} - \label{eq:} -\end{equation} \subsection{Dealing with a multi--particle system} @@ -230,7 +291,6 @@ and would reduce the required amount of loops down to 4. \subsection{Relative error and error convergance rate} \subsection{Tools} -We used matplotlib +The numerical methods implemented in C++, are parallelized using OpenMP \cite{openmp:2018}. We used the Python library matplotlib \cite{hunter:2007:matplotlib} to produce all the plots, and seaborn \cite{waskom:2021:seaborn} to set the theme in the figures. -%\biblio \end{document} diff --git a/latex/sections/results.tex b/latex/sections/results.tex index c48a6b3..9437367 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -4,7 +4,86 @@ \begin{document} \section{Results and Discussion} -From equation \eqref{eq:general_solution} we can find +% Single particle +We simulated the movement of particles confined in a Penning trap. All simulations used the initial conditions for particle 1 and 2 given in table \ref{tab:initial_condition_particles}. -Problem 9: we have to deal with $|\mathbf{r}| = d$ +First we simulated a single particle for $50 \mu s$, approximating the particle's motion using the RK4 method. In addition we compared the motion of particle 1 with the analytical solution in figure \ref{fig:single_particle}. What we see is a complete overlap of the analytical solution completely overlap the approximated, suggest that the simulation result is good. +% Add something about why the simulated result is good, cos(wt) when w is +% +\begin{table}[H] + \centering + \begin{tabular}[c]{lll} + Particle & Position & Velocity \\ + \hline + $p_{1}$ & $(20, 0, 20) \mu m$ & $(0, 25, 0) \mu m/ \mu s$ \\ + $p_{2}$ & $(25, 25, 0) \mu m$ & $(0, 40, 5) \mu m/ \mu s$ \\ + \hline + \end{tabular} + \caption{Initial position and velocity of particle 1 ($p_{1}$) particle 2 ($p_{2}$), where the analytical solution is given by $z(t) = z_{0} \cos (\omega_{z} t)$} + \label{tab:initial_condition_particles} +\end{table} +\begin{figure}[H] + \centering + \includegraphics[width=\linewidth]{images/single_particle.pdf} + \caption{A single particle in the Penning trap, approximated and analytical motion in z-direction.} + \label{fig:single_particle} +\end{figure} +% Add equations of motion for particle with interaction eq. (18, 19, 20) +% Multiple particles +% Add initial condition of Penning trap +We will now consider the Penning trap with initial conditions given in table \ref{tab:initial_condition_penning}, and simulate using one or two particles. In addition, we simulate two particles both with and without interactions, the result is found in figure \ref{fig:two_particles}. When we add interaction between the particles, they both still follow the same inherent path. However, we observe a small shift in both particle's movement. +\begin{table}[H] + \centering + \begin{tabular}{lll} + $B_0$ & $V_{0}$ & $d$ \\ + \hline + \end{tabular} + \caption{Caption} + \label{tab:initial_condition_penning} +\end{table} +% +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/plot_2_particles_xy.pdf} + \caption{Movement of two particles in the xy-plane. $\hat{p}_{1}$ and $\hat{p}_{2}$ include particle interaction, whereas $p_{1}$ and $p_{2}$ does not include particle interaction.} + \label{fig:two_particles} +\end{figure} +% Phase space plot +When we simulate two particles, we can see the effect of interaction between the particles in the xy-plane in fig. \ref{fig:phase_space_2x} and in the z-direction in fig. \ref{fig:phase_space_2z}. What we observe is a very small shift in position for particle 1 in x-direction, whereas particle 2 does not have a visible shift. In the z-direction, however, the oscillation of particle 2 experience a greater shift. Particle 2 experience the force of particle 1 such that particle 2 moves larger distance. +% +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/phase_space_2_particles_x.pdf} + \caption{Phase space plot of two particles in x-direction.} + \label{fig:phase_space_2x} +\end{figure} +% +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/phase_space_2_particles_z.pdf} + \caption{Phase space plot of two particles in z-direction.} + \label{fig:phase_space_2z} +\end{figure} + +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/3d_plot.pdf} + \caption{3D plot of particles-} + \label{fig:3d_particles} +\end{figure} + +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/phase_space_2_particles.pdf} + \caption{Phase space plot of two particles.} + \label{fig:phase_space_2} +\end{figure} + + +\begin{figure} + \centering + \includegraphics[width=\linewidth]{images/particles_left.pdf} + \caption{Fraction of particles left in the Penning trap, with a given amplitude $f$.} + \label{fig:particles_left} +\end{figure} \end{document} \ No newline at end of file -- 2.20.1 From 872b84d0d1cc9be2664a4899b237a381e7fc7b70 Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Sun, 22 Oct 2023 17:15:13 +0200 Subject: [PATCH 11/32] Change labels --- src/scripts/plot_phase_space.py | 4 ++-- src/scripts/plot_relative_error.py | 16 ++++++++-------- 2 files changed, 10 insertions(+), 10 deletions(-) diff --git a/src/scripts/plot_phase_space.py b/src/scripts/plot_phase_space.py index b989961..48326e5 100644 --- a/src/scripts/plot_phase_space.py +++ b/src/scripts/plot_phase_space.py @@ -62,9 +62,9 @@ def main(): axs2[1].set(xlabel=r"t $(\mu s)$", ylabel = r"z $(\mu m)$") axs2[0].set(ylabel = r"z $(\mu m)$") - axs1[i].legend() + axs1[i].legend(loc="upper right") # axs1[i].set_title(title) - axs2[i].legend() + axs2[i].legend(loc="upper right") # axs2[i].set_title(title) fig1.savefig("../latex/images/phase_space_2_particles_x.pdf", bbox_inches="tight") diff --git a/src/scripts/plot_relative_error.py b/src/scripts/plot_relative_error.py index 10106af..1adcb72 100644 --- a/src/scripts/plot_relative_error.py +++ b/src/scripts/plot_relative_error.py @@ -27,10 +27,10 @@ def main(): "32000_steps.txt", ] labels = [ - r"4000 steps", - r"8000 steps", - r"16000 steps", - r"32000 steps", + r"$n_1$", + r"$n_2$", + r"$n_3$", + r"$n_4$", ] titles = [ "Relative error for the RK4 method", @@ -47,17 +47,17 @@ def main(): max_err.append(max(r)) axs1[i].plot(t, r, label=label) - axs1[i].set(ylabel = r"relative_error $(\mu m)$") # xlabel=r"t $(\mu s)$", + axs1[i].set(ylabel = r"Relative error $(\mu m)$") # xlabel=r"t $(\mu s)$", axs1[1].set_xlabel(r"t $(\mu s)$") - axs1[i].legend() + axs1[i].legend(loc="upper right") # axs1[i].set_title(title) conv_rate = 1/3 * sum([np.log10(max_err[i+1]/max_err[i])/np.log10(.5) for i in range(3)]) print(conv_rate) - # fig1.savefig("../latex/images/phase_space_2_particles_x.pdf") - plt.show() + fig1.savefig("../latex/images/relative_error.pdf") + # plt.show() if __name__ == "__main__": -- 2.20.1 From 4e14915b04ee473d37fa8b321f6a4759ca4d9014 Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Sun, 22 Oct 2023 17:16:47 +0200 Subject: [PATCH 12/32] Stuff --- src/main.cpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 19ef8fd..e98eaa0 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -176,11 +176,11 @@ int main() simulate_two_particles(); - simulate_single_particle_with_different_steps(); + simulate_single_particle_with_different_steps(); - // simulate_100_particles(); + simulate_100_particles(); - // simulate_100_particles_with_time_potential(); + simulate_100_particles_with_time_potential(); double end = omp_get_wtime(); -- 2.20.1 From b985a2c25fc00c607343cb46b991c4b21debee7d Mon Sep 17 00:00:00 2001 From: Cory Date: Sun, 22 Oct 2023 17:17:28 +0200 Subject: [PATCH 13/32] Changes --- src/scripts/plot_particles_left.py | 63 ++++++++++++++++++------------ src/scripts/plot_phase_space.py | 14 +++---- 2 files changed, 44 insertions(+), 33 deletions(-) diff --git a/src/scripts/plot_particles_left.py b/src/scripts/plot_particles_left.py index 9884cd2..0f47985 100644 --- a/src/scripts/plot_particles_left.py +++ b/src/scripts/plot_particles_left.py @@ -23,35 +23,46 @@ def main(): "mediumaquamarine", "mediumseagreen" ] - with open("output/time_dependent_potential/res.txt") as f: - lines = f.readlines() - x = [] - y1 = [] - y2 = [] - y3 = [] - for line in lines: - l = line.strip().split(",") - x.append(float(l[0])) - y1.append(float(l[1])) - y2.append(float(l[2])) - y3.append(float(l[3])) + files = [ + "output/time_dependent_potential/wide_sweep.txt", + "output/time_dependent_potential/narrow_sweep.txt", + "output/time_dependent_potential/narrow_sweep_interactions.txt", + ] + outputs = [ + "particles_left_wide_sweep.pdf", + "particles_left_narrow_sweep.pdf", + "particles_left_narrow_sweep_interactions.pdf", + ] + for file, output in zip(files, outputs): + with open(file) as f: + lines = f.readlines() + x = [] + y1 = [] + y2 = [] + y3 = [] + for line in lines: + l = line.strip().split(",") + x.append(float(l[0])) + y1.append(float(l[1])) + y2.append(float(l[2])) + y3.append(float(l[3])) - fig, ax = plt.subplots() - ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0]) - ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2]) - ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4]) + fig, ax = plt.subplots() + ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0]) + ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2]) + ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4]) - ax.set_xlabel(r"Frequency $\omega_V$ (MHz)") - ax.set_xlim((0, 2.8)) - ax.set_ylabel(r"Fraction of particles left") - ax.set_ylim((-0.1, 1.1)) - # plt.title(r"The fraction of particles left in the Penning trap " - # "after 500 microseconds for different amplitudes and frequencies") - - ax.legend(loc="upper right") + ax.set_xlabel(r"Frequency $\omega_V$ (MHz)") + # ax.set_xlim((0, 2.8)) + ax.set_ylabel(r"Fraction of particles left") + # ax.set_ylim((-0.1, 1.1)) + # plt.title(r"The fraction of particles left in the Penning trap " + # "after 500 microseconds for different amplitudes and frequencies") + + ax.legend(loc="upper right") - # plt.show() - fig.savefig("../latex/images/particles_left.pdf", bbox_inches="tight") + # plt.show() + fig.savefig(f"../latex/images/{output}", bbox_inches="tight") if __name__ == "__main__": main() diff --git a/src/scripts/plot_phase_space.py b/src/scripts/plot_phase_space.py index b989961..af17c7c 100644 --- a/src/scripts/plot_phase_space.py +++ b/src/scripts/plot_phase_space.py @@ -42,19 +42,19 @@ def main(): fig2, axs2 = plt.subplots(2,1,sharex=True) for i, (file, label) in enumerate(zip(files, labels)): for j, (dir, linestyle) in enumerate(zip(directories, linestyles)): + r = [] + v = [] with open(dir+file+"_r.txt") as f: lines = f.readlines() - t = np.linspace(0, 50, len(lines)) r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - axs1[i].plot(t, r[:,0], label=f"{label[j]} r", linestyle=linestyle) - axs2[i].plot(t, r[:,2], label=f"{label[j]} r", linestyle=linestyle) with open(dir+file+"_v.txt") as f: lines = f.readlines() - t = np.linspace(0, 50, len(lines)) - r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - axs1[i].plot(t, r[:,0], label=f"{label[j]} v", linestyle=linestyle) - axs2[i].plot(t, r[:,2], label=f"{label[j]} v", linestyle=linestyle) + v = np.array([list(map(float, line.strip().split(","))) for line in lines]) + axs1[i].plot(r[:,0], v[:,0], label=label[j]) + axs2[i].plot(r[:,2], v[:,2], label=label[j]) + axs1[i].axis("equal") + axs2[i].axis("equal") axs1[1].set(xlabel=r"t $(\mu s)$", ylabel = r"x $(\mu m)$") -- 2.20.1 From 122470031288167f5e2a010b55ba510814be0f28 Mon Sep 17 00:00:00 2001 From: Janita Willumsen Date: Sun, 22 Oct 2023 17:24:06 +0200 Subject: [PATCH 14/32] Update references --- latex/main.pdf | Bin 673380 -> 673380 bytes latex/references/references.bib | 141 ++++++++++++++++++-------------- latex/sections/methods.pdf | Bin 0 -> 255084 bytes 3 files changed, 79 insertions(+), 62 deletions(-) create mode 100644 latex/sections/methods.pdf diff --git a/latex/main.pdf b/latex/main.pdf index aee475488d41385e4720c5be90d24f22f6d4462a..4174abc41b2f95134343ac79d5fc6358b81378e2 100644 GIT binary patch delta 124 zcmaFTqxqyqv!R8tg{g(Pg{6hHg{_6Xg`=4P4yJOEltcU9nH)w%nX6R#nev0hLDo&d`?_pEC6iQA2k2~ diff --git a/latex/references/references.bib b/latex/references/references.bib index 6a49b46..1ada635 100644 --- a/latex/references/references.bib +++ b/latex/references/references.bib @@ -1,87 +1,104 @@ @book{vogel:2018, - author = {Manuel Vogel}, - title = {Particle Confinement in Penning Traps}, - subtitle = {An Introduction}, - publisher = {Springer Cham}, - year = {2018}, - edition = {1}, - abstract = {An introduction to the field of Penning traps and related experimental techniques. The book is motivated by the observation that often a vast number of different resources have to be explored to gain a good overview of Penning trap principles. This is especially true for students who experience additional difficulty due to the different styles of presentation and notation.} + author = {Manuel Vogel}, + title = {Particle Confinement in Penning Traps}, + subtitle = {An Introduction}, + publisher = {Springer Cham}, + year = {2018}, + edition = {1}, + abstract = {An introduction to the field of Penning traps and related experimental techniques. The book is motivated by the observation that often a vast number of different resources have to be explored to gain a good overview of Penning trap principles. This is especially true for students who experience additional difficulty due to the different styles of presentation and notation.} } @inbook{vogel:2018:ch5, - author = {Manuel Vogel}, - title = {Particle Confinement in Penning Traps}, - subtitle = {An Introduction}, - publisher = {Springer Cham}, - year = {2018}, - edition = {1}, - pages = {45--50} + author = {Manuel Vogel}, + title = {Particle Confinement in Penning Traps}, + subtitle = {An Introduction}, + publisher = {Springer Cham}, + year = {2018}, + edition = {1}, + pages = {45--50} } @inbook{vogel:2018:ch1, - author = {Manuel Vogel}, - title = {Particle Confinement in Penning Traps}, - subtitle = {An Introduction}, - publisher = {Springer Cham}, - year = {2018}, - edition = {1--6} + author = {Manuel Vogel}, + title = {Particle Confinement in Penning Traps}, + subtitle = {An Introduction}, + publisher = {Springer Cham}, + year = {2018}, + edition ={1--6} } -@article{hunter:2007, - author = {Hunter, J. D.}, - title = {Matplotlib: A 2D graphics environment}, - journal = {Computing in Science \& Engineering}, - volume = {9}, - number = {3}, - pages = {90--95}, - abstract = {Matplotlib is a 2D graphics package used for Python for - application development, interactive scripting, and publication-quality - image generation across user interfaces and operating systems.}, +@article{hunter:2007:matplotlib, + author = {Hunter, J. D.}, + title = {Matplotlib: A 2D graphics environment}, + journal = {Computing in Science \& Engineering}, + volume = {9}, + number = {3}, + pages = {90--95}, + abstract = {Matplotlib is a 2D graphics package used for Python for + application development, interactive scripting, and publication-quality + image generation across user interfaces and operating systems.}, publisher = {IEEE COMPUTER SOC}, - doi = {10.1109/MCSE.2007.55}, - year = 2007 + doi = {10.1109/MCSE.2007.55}, + year = 2007 } @inbook{lindstrom:2016:ch3, - author = {Tom Lindstrøm}, - title = {Kalkulus}, - publisher = {Universitetsforlaget}, - year = {2016}, - edition = {4}, - pages = {133--137} + author = {Tom Lindstrøm}, + title = {Kalkulus}, + publisher = {Universitetsforlaget}, + year = {2016}, + edition = {4}, + pages = {133--137} } @inbook{lindstrom:2016:ch10:5, - author = {Tom Lindstrøm}, - title = {Kalkulus}, - publisher = {Universitetsforlaget}, - year = {2016}, - edition = {4}, - pages = {589--606} + author = {Tom Lindstrøm}, + title = {Kalkulus}, + publisher = {Universitetsforlaget}, + year = {2016}, + edition = {4}, + pages = {589--606} } -@article{britannica:2023:matter, - author = {The Editors of Encyclopaedia Britannica}, - title = {matter}, - year = {2023}, - url = {https://www.britannica.com/science/matter}, - urldate = {2023-10-17} +@online{britannica:2023:matter, + author = {The Editors of Encyclopaedia Britannica}, + title = {matter}, + year = {2023}, + url = {https://www.britannica.com/science/matter}, + urldate = {2023-10-17} } @inbook{gjevik:2014:appendix, - author = {Bjørn Gjevik and Morten Wang Fagerland}, - title = {Feltteori og vektoranalyse}, - publisher = {Farleia Forlag}, - year = {2018}, - pages = {162--163} + author = {Bjørn Gjevik and Morten Wang Fagerland}, + title = {Feltteori og vektoranalyse}, + publisher = {Farleia Forlag}, + year = {2018}, + pages = {162--163} } +@article{waskom:2021:seaborn, + author = {Michael L. Waskom}, + title = {seaborn: statistical data visualization}, + journal = {Journal of Open Source Software}, + volume = {6}, + number = {60}, + publisher = {The Open Journal}, + year = {2021}, + doi = {10.21105/joss.03021}, + url = {https://doi.org/10.21105/joss.03021}, + pages = {3021} + } -@article{rk4_method, - author = "Morten Hjorth-Jensen", - title = "Computational Physics, Lecture Notes Fall 2015", - journal = "Department of Physics, University of Oslo", - year = "2015", - chapter = "8.4", - pages = "250--252", +@online{openmp:2018, + author = {OpenMP}, + title = {OpenMP Application Programming Interface}, + year = {2018}, + url = {https://www.openmp.org/wp-content/uploads/OpenMP-API-Specification-5.0.pdf}, + urldate = {2023-10-22} } + +@misc{penning:fig, + key = , + url = {https://www.med.physik.uni-muenchen.de/research/nuclear-science/nuclear-masses/mlltrap/layout/traps/index.html} + note = {Configuration figure a} +} \ No newline at end of file diff --git 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Author
Cory Alexander Balaton (coryab)
Janita Ovidie Sandtrøen Willumsen (janitaws)
-
Version
0.1
+
Version
1.0
Bug:
No known bugs

Definition in file Particle.hpp.

diff --git a/docs/Particle_8hpp_source.html b/docs/Particle_8hpp_source.html index 98ff655..bf09331 100644 --- a/docs/Particle_8hpp_source.html +++ b/docs/Particle_8hpp_source.html @@ -107,30 +107,35 @@ $(document).ready(function(){initNavTree('Particle_8hpp_source.html',''); initRe
14
15#include <armadillo>
16
-
17#include "typedefs.hpp"
-
18
-
21class Particle {
-
22private:
-
23 double q;
-
24 double m;
- - -
27
-
28public:
-
39 Particle(double q, double m, vec_3d r_vec, vec_3d v_vec);
-
40
-
43 friend class PenningTrap;
-
44};
-
45
-
46#endif
-
A class that holds attributes of a particle.
Definition: Particle.hpp:21
-
double q
Charge.
Definition: Particle.hpp:23
-
vec_3d v_vec
velocity
Definition: Particle.hpp:26
-
double m
Mass.
Definition: Particle.hpp:24
-
vec_3d r_vec
position
Definition: Particle.hpp:25
-
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:31
+
17#include "constants.hpp"
+
18#include "typedefs.hpp"
+
19
+ +
23{
+
24private:
+ + +
27 double q;
+
28 double m;
+
29
+
30public:
+
41 Particle(vec3 r_vec, vec3 v_vec, double q = CA_CHARGE, double m = CA_MASS);
+
42
+
45 friend class PenningTrap;
+
46};
+
47
+
48#endif
+
A class that holds attributes of a particle.
Definition: Particle.hpp:23
+
vec3 r_vec
position
Definition: Particle.hpp:25
+
vec3 v_vec
velocity
Definition: Particle.hpp:26
+
double q
Charge.
Definition: Particle.hpp:27
+
double m
Mass.
Definition: Particle.hpp:28
+
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:32
+
Library of constants.
+
#define CA_MASS
Mass of a single calcium ion. unit: amu.
Definition: constants.hpp:29
+
#define CA_CHARGE
Charge of a singly charged calcium ion. unit: e.
Definition: constants.hpp:33
Useful typedefs for cleaner code.
-
arma::vec::fixed< 3 > vec_3d
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:36
+
arma::vec::fixed< 3 > vec3
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:23
diff --git a/docs/PenningTrap_8cpp.html b/docs/PenningTrap_8cpp.html index 81ea9db..f90f9c5 100644 --- a/docs/PenningTrap_8cpp.html +++ b/docs/PenningTrap_8cpp.html @@ -105,6 +105,11 @@ $(document).ready(function(){initNavTree('PenningTrap_8cpp.html',''); initResiza

The implementation of the PenningTrap class. More...

#include "PenningTrap.hpp"
+#include "typedefs.hpp"
+#include <algorithm>
+#include <functional>
+#include <sys/types.h>
+#include <vector>

Go to the source code of this file.

Detailed Description

@@ -112,7 +117,7 @@ $(document).ready(function(){initNavTree('PenningTrap_8cpp.html',''); initResiza
Author
Cory Alexander Balaton (coryab)
Janita Ovidie Sandtrøen Willumsen (janitaws)
-
Version
0.1
+
Version
1.0
Bug:
No known bugs

Definition in file PenningTrap.cpp.

diff --git a/docs/PenningTrap_8cpp_source.html b/docs/PenningTrap_8cpp_source.html index fab32cb..e974bfc 100644 --- a/docs/PenningTrap_8cpp_source.html +++ b/docs/PenningTrap_8cpp_source.html @@ -103,335 +103,359 @@ $(document).ready(function(){initNavTree('PenningTrap_8cpp_source.html',''); ini
Go to the documentation of this file.
1
13#include "PenningTrap.hpp"
-
14
-
15PenningTrap::PenningTrap(double B_0, std::function<double(double)> V_0,
-
16 double d, double t)
-
17{
-
18 this->B_0 = B_0;
-
19 this->V_0 = V_0;
-
20 this->d = d;
-
21 this->t = t;
-
22}
-
23
-
24PenningTrap::PenningTrap(unsigned int i, double B_0,
-
25 std::function<double(double)> V_0, double d, double t)
-
26 : PenningTrap::PenningTrap(B_0, V_0, d)
-
27{
-
28 vec_3d r, v;
-
29 for (size_t j = 0; j < i; j++) {
-
30 r = vec_3d().randn() * .1 * this->d;
-
31 v = vec_3d().randn() * .1 * this->d;
-
32 this->add_particle(Particle(1., 40., r, v));
-
33 }
-
34}
-
35
-
36PenningTrap::PenningTrap(std::vector<Particle> particles, double B_0,
-
37 std::function<double(double)> V_0, double d, double t)
-
38 : PenningTrap::PenningTrap(B_0, V_0, d)
-
39{
-
40 this->particles = particles;
-
41}
-
42
-
43vec_3d PenningTrap::v_func(unsigned int i, unsigned int j, double dt)
-
44{
-
45 switch (i) {
-
46 case 0:
-
47 return .5 * dt * this->k_v[0][j];
-
48 case 1:
-
49 return .5 * dt * this->k_v[1][j];
-
50 case 2:
-
51 return dt * this->k_v[2][j];
-
52 case 3:
-
53 return (dt / 6.) * (this->k_v[0][j] + 2. * this->k_v[1][j] +
-
54 2. * this->k_v[2][j] + this->k_v[3][j]);
-
55 default:
-
56 std::cout << "Not valid!" << std::endl;
-
57 abort();
-
58 }
-
59}
-
60
-
61vec_3d PenningTrap::r_func(unsigned int i, unsigned int j, double dt)
-
62{
-
63 switch (i) {
-
64 case 0:
-
65 return .5 * dt * this->k_r[0][j];
-
66 case 1:
-
67 return .5 * dt * this->k_r[1][j];
-
68 case 2:
-
69 return dt * this->k_r[2][j];
-
70 case 3:
-
71 return (dt / 6.) * (this->k_r[0][j] + 2. * this->k_r[1][j] +
-
72 2. * this->k_r[2][j] + this->k_r[3][j]);
-
73 default:
-
74 std::cout << "Not valid!" << std::endl;
-
75 abort();
-
76 }
-
77}
-
78
- -
80{
-
81 this->particles.push_back(particle);
-
82}
-
83
- -
85{
-
86 r(2) *= -2.;
-
87 double f = this->V_0(this->t) / (this->d * this->d);
-
88
-
89 return f * r;
-
90}
-
91
- -
93{
-
94 return vec_3d{0., 0., this->B_0};
-
95}
-
96
-
97vec_3d PenningTrap::force_on_particle(unsigned int i, unsigned int j)
-
98{
-
99 // Calculate the difference between the particles' position
-
100 vec_3d res = this->particles[i].r_vec - this->particles[j].r_vec;
-
101
-
102 // Get the distance between the particles
-
103 double norm = arma::norm(res, 2);
-
104
-
105 return vec_3d(res * this->particles[j].q / (norm * norm * norm));
-
106}
-
107
- -
109{
-
110 Particle p = this->particles[i];
-
111
-
112 if (arma::norm(p.r_vec) > this->d) {
-
113 return vec_3d{0., 0., 0.};
-
114 }
-
115
-
116 vec_3d force =
-
117 p.q * (this->external_E_field(p.r_vec) +
-
118 arma::cross(p.v_vec, this->external_B_field(p.r_vec)));
-
119
-
120 return force;
-
121}
-
122
- -
124{
-
125 Particle p = this->particles[i];
+
14#include "typedefs.hpp"
+
15#include <algorithm>
+
16#include <functional>
+
17#include <sys/types.h>
+
18#include <vector>
+
19
+
20PenningTrap::PenningTrap(double B_0, double V_0, double d, double t)
+
21{
+
22 this->B_0 = B_0;
+
23 this->V_0 = V_0;
+
24 this->d = d;
+
25 this->t = t;
+
26 this->perturbation = [](double t) { return 1.; };
+
27}
+
28
+
29PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t)
+
30 : PenningTrap::PenningTrap(B_0, V_0, d)
+
31{
+
32 for (size_t j = 0; j < i; j++) {
+
33 this->particles.push_back(
+
34 Particle(vec3(vec3().randn() * .1 * this->d),
+
35 vec3(vec3().randn() * .1 * this->d)));
+
36 }
+
37}
+
38
+
39PenningTrap::PenningTrap(std::vector<Particle> particles, double B_0,
+
40 double V_0, double d, double t)
+
41 : PenningTrap::PenningTrap(B_0, V_0, d)
+
42{
+
43 this->particles = particles;
+
44}
+
45
+
46void PenningTrap::set_pertubation(double f, double omega_V)
+
47{
+
48 this->perturbation = [f, omega_V](double t) {
+
49 return 1 + f * std::cos(omega_V * t);
+
50 };
+
51}
+
52
+
53void PenningTrap::reinitialize(double f, double omega_V, double t)
+
54{
+
55 this->t = t;
+
56 this->set_pertubation(f, omega_V);
+
57
+
58 for (size_t i = 0; i < this->particles.size(); i++) {
+
59 this->particles[i].r_vec = vec3().randn() * .1 * this->d;
+
60 }
+
61}
+
62
+
63vec3 PenningTrap::v_func(uint i, uint j, double dt)
+
64{
+
65 switch (i) {
+
66 case 0:
+
67 return .5 * dt * this->k_v[0][j];
+
68 case 1:
+
69 return .5 * dt * this->k_v[1][j];
+
70 case 2:
+
71 return dt * this->k_v[2][j];
+
72 case 3:
+
73 return vec3((dt / 6.)
+
74 * (this->k_v[0][j] + 2. * this->k_v[1][j]
+
75 + 2. * this->k_v[2][j] + this->k_v[3][j]));
+
76 default:
+
77 std::cout << "Not valid!" << std::endl;
+
78 abort();
+
79 }
+
80}
+
81
+
82vec3 PenningTrap::r_func(uint i, uint j, double dt)
+
83{
+
84 switch (i) {
+
85 case 0:
+
86 return .5 * dt * this->k_r[0][j];
+
87 case 1:
+
88 return .5 * dt * this->k_r[1][j];
+
89 case 2:
+
90 return dt * this->k_r[2][j];
+
91 case 3:
+
92 return vec3((dt / 6.)
+
93 * (this->k_r[0][j] + 2. * this->k_r[1][j]
+
94 + 2. * this->k_r[2][j] + this->k_r[3][j]));
+
95 default:
+
96 std::cout << "Not valid!" << std::endl;
+
97 abort();
+
98 }
+
99}
+
100
+ +
102{
+
103 this->particles.push_back(particle);
+
104}
+
105
+ +
107{
+
108 r(2) *= -2.;
+
109
+
110 return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d))
+
111 * r);
+
112}
+
113
+ +
115{
+
116 return vec3{0., 0., this->B_0};
+
117}
+
118
+ +
120{
+
121 // Calculate the difference between the particles' position
+
122 vec3 res = this->particles[i].r_vec - this->particles[j].r_vec;
+
123
+
124 // Get the distance between the particles
+
125 double norm = arma::norm(res, 2);
126
-
127 vec_3d res;
-
128
-
129 for (size_t j = 0; j < this->particles.size(); j++) {
-
130 if (i == j) {
-
131 continue;
-
132 }
+
127 return vec3((this->particles[j].q / (norm * norm * norm)) * res);
+
128}
+
129
+ +
131{
+
132 Particle *p = &this->particles[i];
133
-
134 res += this->force_on_particle(i, j);
-
135 }
-
136
-
137 return vec_3d(res * K_E * (p.q / p.m));
-
138}
-
139
- -
141{
-
142 if (arma::norm(this->particles[i].r_vec) > this->d) {
-
143 return vec_3d{0., 0., 0.};
-
144 }
-
145 return this->total_force_external(i) - this->total_force_particles(i);
-
146}
-
147
-
148void PenningTrap::evolve_RK4(double dt, bool particle_interaction)
-
149{
-
150
-
151 std::vector<Particle> original_particles = this->particles;
-
152 std::vector<Particle> tmp_particles = this->particles;
-
153
-
154 vec_3d (PenningTrap::*force)(unsigned int);
-
155 if (particle_interaction) {
- -
157 }
-
158 else {
- -
160 }
-
161
-
162 size_t size = this->particles.size();
-
163
-
164 this->k_v = sim_arr(4, sim_cols(size));
-
165 this->k_r = sim_arr(4, sim_cols(size));
-
166
-
167 for (size_t i = 0; i < 4; i++) {
-
168#pragma omp parallel for
-
169 for (size_t j = 0; j < this->particles.size(); j++) {
-
170 this->k_v[i][j] = (this->*force)(j) / this->particles[j].m;
-
171 this->k_r[i][j] = this->particles[j].v_vec;
+
134 if (arma::norm(p->r_vec) > this->d) {
+
135 return vec3{0., 0., 0.};
+
136 }
+
137
+
138 return vec3(p->q
+
139 * (this->external_E_field(p->r_vec)
+
140 + arma::cross(p->v_vec, this->external_B_field(p->r_vec))));
+
141}
+
142
+ +
144{
+
145 vec3 res;
+
146
+
147 for (size_t j = 0; j < this->particles.size(); j++) {
+
148 if (i != j)
+
149 res += this->force_on_particle(i, j);
+
150 }
+
151
+
152 return vec3(res * (K_E * this->particles[i].q));
+
153}
+
154
+ +
156{
+
157 if (arma::norm(this->particles[i].r_vec) > this->d) {
+
158 return vec3{0., 0., 0.};
+
159 }
+
160 return vec3(this->total_force_external(i) - this->total_force_particles(i));
+
161}
+
162
+
163void PenningTrap::evolve_RK4(double dt, bool particle_interaction)
+
164{
+
165
+
166 std::vector<Particle> original_particles = this->particles;
+
167 std::vector<Particle> tmp_particles = this->particles;
+
168
+
169 vec3 (PenningTrap::*force)(uint) = particle_interaction
+ +
172
-
173 Particle *p = &tmp_particles[j];
+
173 size_t size = this->particles.size();
174
-
175 p->v_vec = original_particles[j].v_vec + this->v_func(i, j, dt);
-
176 p->r_vec = original_particles[j].r_vec + this->r_func(i, j, dt);
-
177 }
-
178 this->particles.swap(tmp_particles);
-
179 }
-
180 this->t += dt;
-
181}
-
182
-
183void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction)
-
184{
-
185 size_t size = this->particles.size();
-
186 vec_3d force_res[size];
-
187 Particle *p;
-
188
-
189 vec_3d (PenningTrap::*force)(unsigned int);
-
190 if (particle_interaction) {
- -
192 }
-
193 else {
- -
195 }
-
196
-
197#pragma omp parallel for
-
198 for (size_t i = 0; i < size; i++) {
-
199 force_res[i] = (this->*force)(i);
-
200 }
-
201
-
202#pragma omp parallel for private(p)
-
203 for (size_t i = 0; i < size; i++) {
-
204 p = &this->particles[i];
-
205 p->r_vec += dt * p->v_vec;
-
206 p->v_vec += dt * force_res[i] / p->m;
-
207 }
-
208
-
209 this->t += dt;
-
210}
-
211
-
212simulation_t PenningTrap::simulate(double time, unsigned int steps,
-
213 std::string method,
-
214 bool particle_interaction)
-
215{
-
216 double dt = time / (double)steps;
-
217
-
218 unsigned int size = this->particles.size();
-
219
-
220 simulation_t res{sim_arr(size, sim_cols(steps)),
-
221 sim_arr(size, sim_cols(steps))};
-
222
-
223 void (PenningTrap::*func)(double, bool);
-
224 if (method == "rk4") {
- -
226 }
-
227 else if (method == "euler") {
- -
229 }
-
230 else {
-
231 std::cout << "Not a valid method!" << std::endl;
-
232 abort();
-
233 }
+
175 // Allocating takes a long time, so reuse sim_arr if possible
+
176 if (this->k_v.size() != 4 || this->k_r.size() != 4
+
177 || this->k_v[0].size() != size || this->k_r[0].size() != size) {
+
178 this->k_v = sim_arr(4, sim_cols(size));
+
179 this->k_r = sim_arr(4, sim_cols(size));
+
180 }
+
181
+
182 // Each k_{i+1} is dependent on k_i, so outer loop is not parallelizable
+
183 for (size_t i = 0; i < 4; i++) {
+
184 // Inner loop is able to be parallelized
+
185#pragma omp parallel for
+
186 for (size_t j = 0; j < size; j++) {
+
187 this->k_v[i][j] = (this->*force)(j) / this->particles[j].m;
+
188 this->k_r[i][j] = this->particles[j].v_vec;
+
189
+
190 tmp_particles[j].v_vec =
+
191 original_particles[j].v_vec + this->v_func(i, j, dt);
+
192 tmp_particles[j].r_vec =
+
193 original_particles[j].r_vec + this->r_func(i, j, dt);
+
194 }
+
195 this->particles = tmp_particles;
+
196 }
+
197
+
198 this->t += dt;
+
199}
+
200
+
201void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction)
+
202{
+
203 size_t size = this->particles.size();
+
204 vec3 force_res[size];
+
205
+
206 vec3 (PenningTrap::*force)(uint) = particle_interaction
+ + +
209
+
210 // Calculating the force for each particle is independent and therefore
+
211 // a good candidate for parallel execution
+
212#pragma omp parallel for
+
213 for (size_t i = 0; i < size; i++) {
+
214 force_res[i] = (this->*force)(i);
+
215 }
+
216
+
217 // Updating the particles is also independent, so we can parallelize
+
218 // this as well
+
219#pragma omp parallel for
+
220 for (size_t i = 0; i < size; i++) {
+
221 this->particles[i].r_vec += dt * this->particles[i].v_vec;
+
222 this->particles[i].v_vec += dt * force_res[i] / this->particles[i].m;
+
223 }
+
224
+
225 this->t += dt;
+
226}
+
227
+
228simulation_t PenningTrap::simulate(double time, uint steps, std::string method,
+
229 bool particle_interaction)
+
230{
+
231 double dt = time / (double)steps;
+
232
+
233 uint size = this->particles.size();
234
-
235 for (size_t j = 0; j < steps; j++) {
-
236 for (size_t i = 0; i < size; i++) {
-
237 res.r_vecs[i][j] = this->particles[i].r_vec;
-
238 res.v_vecs[i][j] = this->particles[i].v_vec;
-
239 }
-
240 (this->*func)(dt, particle_interaction);
-
241 }
-
242
-
243 return res;
-
244}
-
245
-
246void PenningTrap::write_simulation_to_dir(std::string path, double time,
-
247 unsigned int steps,
-
248 std::string method,
-
249 bool particle_interaction)
-
250{
-
251 if (path.back() != '/') {
-
252 path += '/';
-
253 }
-
254 if (mkpath(path, 0777) != 0) {
-
255 std::cout << "Hello" << std::endl;
-
256 return;
-
257 }
+
235 simulation_t res{sim_arr(size, sim_cols(steps)),
+
236 sim_arr(size, sim_cols(steps))};
+
237
+
238 void (PenningTrap::*func)(double, bool);
+
239 if (method == "rk4") {
+ +
241 } else if (method == "euler") {
+ +
243 } else {
+
244 std::cout << "Not a valid method!" << std::endl;
+
245 abort();
+
246 }
+
247
+
248 for (size_t j = 0; j < steps; j++) {
+
249 for (size_t i = 0; i < size; i++) {
+
250 res.r_vecs[i][j] = this->particles[i].r_vec;
+
251 res.v_vecs[i][j] = this->particles[i].v_vec;
+
252 }
+
253 (this->*func)(dt, particle_interaction);
+
254 }
+
255
+
256 return res;
+
257}
258
-
259 simulation_t res =
-
260 this->simulate(time, steps, method, particle_interaction);
-
261
-
262 std::ofstream ofile;
-
263
-
264#pragma omp parallel for private(ofile)
-
265 for (size_t i = 0; i < this->particles.size(); i++) {
-
266 ofile.open(path + "particle_" + std::to_string(i) + "_r.txt");
-
267 for (vec_3d &vec : res.r_vecs[i]) {
-
268 ofile << vec(0) << "," << vec(1) << "," << vec(2) << "\n";
-
269 }
-
270 ofile.close();
-
271 ofile.open(path + "particle_" + std::to_string(i) + "_v.txt");
-
272 for (vec_3d &vec : res.v_vecs[i]) {
-
273 ofile << scientific_format(vec(0), 10, 8) << ","
-
274 << scientific_format(vec(1), 8, 10) << ","
-
275 << scientific_format(vec(2), 8, 10) << "\n";
-
276 }
-
277 ofile.close();
-
278 }
-
279}
-
280
-
281double PenningTrap::fraction_of_particles_left(double time, unsigned int steps,
-
282 std::string method,
-
283 bool particle_interaction)
-
284{
-
285 simulation_t res =
-
286 this->simulate(time, steps, method, particle_interaction);
-
287
-
288 int particles_left = 0;
-
289
-
290 for (Particle p : this->particles) {
-
291 if (arma::norm(p.r_vec) < this->d) {
-
292 particles_left++;
-
293 }
+
259void PenningTrap::write_simulation_to_dir(std::string path, double time,
+
260 uint steps, std::string method,
+
261 bool particle_interaction)
+
262{
+
263 if (path.back() != '/') {
+
264 path += '/';
+
265 }
+
266 if (mkpath(path, 0777) != 0) {
+
267 std::cout << "Failed to make path" << std::endl;
+
268 abort();
+
269 }
+
270
+
271 simulation_t res =
+
272 this->simulate(time, steps, method, particle_interaction);
+
273
+
274 std::ofstream ofile;
+
275
+
276 // Writing each particle to its own file is independent and can be run in
+
277 // parallel.
+
278#pragma omp parallel for private(ofile)
+
279 for (size_t i = 0; i < this->particles.size(); i++) {
+
280 ofile.open(path + "particle_" + std::to_string(i) + "_r.txt");
+
281 for (vec3 &vec : res.r_vecs[i]) {
+
282 ofile << scientific_format(vec(0), 10, 8) << ','
+
283 << scientific_format(vec(1), 10, 8) << ','
+
284 << scientific_format(vec(2), 10, 8) << '\n';
+
285 }
+
286 ofile.close();
+
287 ofile.open(path + "particle_" + std::to_string(i) + "_v.txt");
+
288 for (vec3 &vec : res.v_vecs[i]) {
+
289 ofile << scientific_format(vec(0), 10, 8) << ','
+
290 << scientific_format(vec(1), 10, 8) << ','
+
291 << scientific_format(vec(2), 10, 8) << '\n';
+
292 }
+
293 ofile.close();
294 }
-
295
-
296 return (double)particles_left / (double)this->particles.size();
-
297}
-
298
-
299vec_3d PenningTrap::get_r(int i)
+
295}
+
296
+
297double PenningTrap::fraction_of_particles_left(double time, uint steps,
+
298 std::string method,
+
299 bool particle_interaction)
300{
-
301 return this->particles[i].r_vec;
-
302}
-
303
-
304double PenningTrap::get_t()
-
305{
-
306 return this->t;
-
307}
+
301 double dt = time / (double)steps;
+
302
+
303 void (PenningTrap::*func)(double, bool);
+
304 if (method == "rk4") {
+ +
306 } else if (method == "euler") {
+ +
308 } else {
+
309 std::cout << "Not a valid method!" << std::endl;
+
310 abort();
+
311 }
+
312
+
313 for (size_t j = 0; j < steps; j++) {
+
314 (this->*func)(dt, particle_interaction);
+
315 }
+
316
+
317 int particles_left = 0;
+
318
+
319 // A reduction is perfect here
+
320#pragma omp parallel for reduction(+ : particles_left)
+
321 for (size_t i = 0; i < this->particles.size(); i++) {
+
322 if (arma::norm(this->particles[i].r_vec) < this->d) {
+
323 particles_left++;
+
324 }
+
325 }
+
326
+
327 return (double)particles_left / (double)this->particles.size();
+
328}
A class for simulating a Penning trap.
-
A class that holds attributes of a particle.
Definition: Particle.hpp:21
-
double q
Charge.
Definition: Particle.hpp:23
-
vec_3d v_vec
velocity
Definition: Particle.hpp:26
-
double m
Mass.
Definition: Particle.hpp:24
-
vec_3d r_vec
position
Definition: Particle.hpp:25
-
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:31
-
std::vector< Particle > particles
The particles in the Penning trap.
Definition: PenningTrap.hpp:37
-
double fraction_of_particles_left(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
-
double B_0
Magnetic field strength.
Definition: PenningTrap.hpp:33
-
vec_3d external_E_field(vec_3d r)
Calculate E at point r.
Definition: PenningTrap.cpp:84
-
vec_3d total_force(unsigned int i)
calculate the total force on a particle p_i.
-
sim_arr k_r
Definition: PenningTrap.hpp:40
-
void evolve_RK4(double dt, bool particle_interaction=true)
Go forward one timestep using the RK4 method.
-
vec_3d r_func(unsigned int i, unsigned int j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:61
-
vec_3d total_force_particles(unsigned int i)
Calculate the total force on a particle p_i from other particles.
-
double d
Characteristic dimension.
Definition: PenningTrap.hpp:35
-
void add_particle(Particle particle)
Add a particle to the system.
Definition: PenningTrap.cpp:79
-
double t
Current time.
Definition: PenningTrap.hpp:36
-
vec_3d force_on_particle(unsigned int i, unsigned int j)
Calculate the force between 2 particles.
Definition: PenningTrap.cpp:97
-
std::function< double(double)> V_0
Applied potential.
Definition: PenningTrap.hpp:34
-
void evolve_forward_euler(double dt, bool particle_interaction=true)
Go forward one timestep using the forward Euler method.
-
void write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate and write the displacement of all particles to files.
-
vec_3d external_B_field(vec_3d r)
Calculate B at point r.
Definition: PenningTrap.cpp:92
-
simulation_t simulate(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate the particle system inside the Penning trap over a certain amount of time.
-
PenningTrap(double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)
Constructor for the PenningTrap class.
Definition: PenningTrap.cpp:15
-
vec_3d total_force_external(unsigned int i)
Calculate the total external force on a particle.
-
sim_arr k_v
Definition: PenningTrap.hpp:38
-
vec_3d v_func(unsigned int i, unsigned int j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:43
-
#define K_E
Coulomb constant. unit: .
Definition: constants.hpp:15
+
A class that holds attributes of a particle.
Definition: Particle.hpp:23
+
vec3 r_vec
position
Definition: Particle.hpp:25
+
vec3 v_vec
velocity
Definition: Particle.hpp:26
+
double q
Charge.
Definition: Particle.hpp:27
+
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:32
+
std::vector< Particle > particles
The particles in the Penning trap.
Definition: PenningTrap.hpp:39
+
double B_0
Magnetic field strength.
Definition: PenningTrap.hpp:34
+
vec3 total_force_external(uint i)
Calculate the total external force on a particle.
+
sim_arr k_r
Definition: PenningTrap.hpp:42
+
vec3 total_force_particles(uint i)
Calculate the total force on a particle p_i from other particles.
+
vec3 external_B_field(vec3 r)
Calculate B at point r.
+
void evolve_RK4(double dt, bool particle_interaction=true)
Go forward one timestep using the RK4 method.
+
vec3 v_func(uint i, uint j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:63
+
vec3 external_E_field(vec3 r)
Calculate E at point r.
+
PenningTrap(double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
Constructor for the PenningTrap class.
Definition: PenningTrap.cpp:20
+
double d
Characteristic dimension.
Definition: PenningTrap.hpp:37
+
void add_particle(Particle particle)
Add a particle to the system.
+
double V_0
Applied potential.
Definition: PenningTrap.hpp:35
+
simulation_t simulate(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate the particle system inside the Penning trap over a certain amount of time.
+
vec3 force_on_particle(uint i, uint j)
Calculate the force between 2 particles.
+
vec3 r_func(uint i, uint j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:82
+
double t
Current time.
Definition: PenningTrap.hpp:38
+
vec3 total_force(uint i)
calculate the total force on a particle p_i.
+
void set_pertubation(double f, double omega_V)
Time dependent perturbation to V_0.
Definition: PenningTrap.cpp:46
+
void reinitialize(double f, double omega_V, double t=0.)
Give all particles new positions and velocities, and change t and V_0.
Definition: PenningTrap.cpp:53
+
void evolve_forward_euler(double dt, bool particle_interaction=true)
Go forward one timestep using the forward Euler method.
+
double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
+
void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate and write the displacement of all particles to files.
+
std::function< double(double)> perturbation
Time-dependent perturbation.
Definition: PenningTrap.hpp:36
+
sim_arr k_v
Definition: PenningTrap.hpp:40
+
#define K_E
Coulomb constant. unit: .
Definition: constants.hpp:17
Typedef for PenningTrap::simulation return value.
Definition: typedefs.hpp:40
-
std::vector< arma::vec::fixed< 3 > > sim_cols
Typedef for the column of the result vector from simulating particles.
Definition: typedefs.hpp:24
-
arma::vec::fixed< 3 > vec_3d
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:36
-
std::vector< sim_cols > sim_arr
Typedef for the result of the simulate method.
Definition: typedefs.hpp:32
-
bool mkpath(std::string path, int mode=0777)
Make path given.
Definition: utils.cpp:74
+
Useful typedefs for cleaner code.
+
arma::vec::fixed< 3 > vec3
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:23
+
std::vector< vec3 > sim_cols
Typedef for the column of the result vector from simulating particles.
Definition: typedefs.hpp:28
+
std::vector< sim_cols > sim_arr
Typedef for the result of the simulate method.
Definition: typedefs.hpp:36
+
bool mkpath(std::string path, int mode=0777)
Make path given.
Definition: utils.cpp:72
std::string scientific_format(double d, int width=20, int prec=10)
Turns a double into a string written in scientific format.
Definition: utils.cpp:15
diff --git a/docs/PenningTrap_8hpp.html b/docs/PenningTrap_8hpp.html index 7632939..e0d2a31 100644 --- a/docs/PenningTrap_8hpp.html +++ b/docs/PenningTrap_8hpp.html @@ -126,7 +126,7 @@ Classes
Author
Cory Alexander Balaton (coryab)
Janita Ovidie Sandtrøen Willumsen (janitaws)
-
Version
0.1
+
Version
1.0
Bug:
No known bugs

Definition in file PenningTrap.hpp.

diff --git a/docs/PenningTrap_8hpp_source.html b/docs/PenningTrap_8hpp_source.html index cc866c3..fab595d 100644 --- a/docs/PenningTrap_8hpp_source.html +++ b/docs/PenningTrap_8hpp_source.html @@ -113,108 +113,107 @@ $(document).ready(function(){initNavTree('PenningTrap_8hpp_source.html',''); ini
20#include "typedefs.hpp"
21#include "utils.hpp"
22
-
23#pragma omp declare reduction(+ : vec_3d : omp_out += omp_in) \
+
23#pragma omp declare reduction(+ : vec3 : omp_out += omp_in) \
24 initializer(omp_priv = omp_orig)
25
- -
32private:
-
33 double B_0;
-
34 std::function<double(double)> V_0;
-
35 double d;
-
36 double t;
-
37 std::vector<Particle> particles;
- - -
42
-
53 vec_3d v_func(unsigned int i, unsigned int j, double dt);
-
54
-
65 vec_3d r_func(unsigned int i, unsigned int j, double dt);
-
66
-
67public:
- -
76 double B_0 = T,
-
77 std::function<double(double)> V_0 =
-
78 [](double t) { return 25. * V / 1000.; },
-
79 double d = 500., double t = 0.);
-
80
- -
90 unsigned int i, double B_0 = T,
-
91 std::function<double(double)> V_0 =
-
92 [](double t) { return 25. * V / 1000.; },
-
93 double d = 500., double t = 0.);
-
94
- -
104 std::vector<Particle> particles, double B_0 = T,
-
105 std::function<double(double)> V_0 =
-
106 [](double t) { return 25. * V / 1000.; },
-
107 double d = 500., double t = 0.);
-
108
-
113 void add_particle(Particle particle);
-
114
- -
122
- -
130
-
141 vec_3d force_on_particle(unsigned int i, unsigned int j);
-
142
-
152 vec_3d total_force_external(unsigned int i);
-
153
-
160 vec_3d total_force_particles(unsigned int i);
-
161
-
168 vec_3d total_force(unsigned int i);
-
169
-
175 void evolve_RK4(double dt, bool particle_interaction = true);
-
176
-
182 void evolve_forward_euler(double dt, bool particle_interaction = true);
-
183
-
194 simulation_t simulate(double time, unsigned int steps,
-
195 std::string method = "rk4",
-
196 bool particle_interaction = true);
-
197
-
206 void write_simulation_to_dir(std::string path, double time,
-
207 unsigned int steps, std::string method = "rk4",
-
208 bool particle_interaction = true);
-
209
-
220 double fraction_of_particles_left(double time, unsigned int steps,
-
221 std::string method = "rk4",
-
222 bool particle_interaction = true);
-
223
-
224 vec_3d get_r(int i);
-
225 double get_t();
-
226};
-
227
-
228#endif
+ +
32{
+
33private:
+
34 double B_0;
+
35 double V_0;
+
36 std::function<double(double)> perturbation;
+
37 double d;
+
38 double t;
+
39 std::vector<Particle> particles;
+ + +
44
+
55 vec3 v_func(uint i, uint j, double dt);
+
56
+
67 vec3 r_func(uint i, uint j, double dt);
+
68
+ +
76
+ +
84
+
95 vec3 force_on_particle(uint i, uint j);
+
96
+ +
107
+ +
116
+
123 vec3 total_force(uint i);
+
124
+
125public:
+
133 PenningTrap(double B_0 = T, double V_0 = (25. * V) / 1000., double d = 500.,
+
134 double t = 0.);
+
135
+
144 PenningTrap(uint i, double B_0 = T, double V_0 = (25. * V) / 1000.,
+
145 double d = 500., double t = 0.);
+
146
+
155 PenningTrap(std::vector<Particle> particles, double B_0 = T,
+
156 double V_0 = (25. * V) / 1000., double d = 500., double t = 0.);
+
157
+
163 void set_pertubation(double f, double omega_V);
+
164
+
171 void reinitialize(double f, double omega_V, double t = 0.);
+
172
+
177 void add_particle(Particle particle);
+
178
+
184 void evolve_RK4(double dt, bool particle_interaction = true);
+
185
+
191 void evolve_forward_euler(double dt, bool particle_interaction = true);
+
192
+
203 simulation_t simulate(double time, uint steps, std::string method = "rk4",
+
204 bool particle_interaction = true);
+
205
+
214 void write_simulation_to_dir(std::string path, double time, uint steps,
+
215 std::string method = "rk4",
+
216 bool particle_interaction = true);
+
217
+
228 double fraction_of_particles_left(double time, uint steps,
+
229 std::string method = "rk4",
+
230 bool particle_interaction = true);
+
231
+
232 friend class PenningTrapTest;
+
233};
+
234
+
235#endif
A class that holds the properties of a particle.
-
A class that holds attributes of a particle.
Definition: Particle.hpp:21
-
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:31
-
std::vector< Particle > particles
The particles in the Penning trap.
Definition: PenningTrap.hpp:37
-
double fraction_of_particles_left(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
-
double B_0
Magnetic field strength.
Definition: PenningTrap.hpp:33
-
vec_3d external_E_field(vec_3d r)
Calculate E at point r.
Definition: PenningTrap.cpp:84
-
vec_3d total_force(unsigned int i)
calculate the total force on a particle p_i.
-
sim_arr k_r
Definition: PenningTrap.hpp:40
-
void evolve_RK4(double dt, bool particle_interaction=true)
Go forward one timestep using the RK4 method.
-
vec_3d r_func(unsigned int i, unsigned int j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:61
-
vec_3d total_force_particles(unsigned int i)
Calculate the total force on a particle p_i from other particles.
-
double d
Characteristic dimension.
Definition: PenningTrap.hpp:35
-
void add_particle(Particle particle)
Add a particle to the system.
Definition: PenningTrap.cpp:79
-
double t
Current time.
Definition: PenningTrap.hpp:36
-
vec_3d force_on_particle(unsigned int i, unsigned int j)
Calculate the force between 2 particles.
Definition: PenningTrap.cpp:97
-
std::function< double(double)> V_0
Applied potential.
Definition: PenningTrap.hpp:34
-
void evolve_forward_euler(double dt, bool particle_interaction=true)
Go forward one timestep using the forward Euler method.
-
void write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate and write the displacement of all particles to files.
-
vec_3d external_B_field(vec_3d r)
Calculate B at point r.
Definition: PenningTrap.cpp:92
-
simulation_t simulate(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
Simulate the particle system inside the Penning trap over a certain amount of time.
-
vec_3d total_force_external(unsigned int i)
Calculate the total external force on a particle.
-
sim_arr k_v
Definition: PenningTrap.hpp:38
-
vec_3d v_func(unsigned int i, unsigned int j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:43
+
A class that holds attributes of a particle.
Definition: Particle.hpp:23
+
Test class for the Penning trap.
Definition: test_suite.cpp:24
+
A class that simulates a Penning trap.
Definition: PenningTrap.hpp:32
+
std::vector< Particle > particles
The particles in the Penning trap.
Definition: PenningTrap.hpp:39
+
double B_0
Magnetic field strength.
Definition: PenningTrap.hpp:34
+
vec3 total_force_external(uint i)
Calculate the total external force on a particle.
+
sim_arr k_r
Definition: PenningTrap.hpp:42
+
vec3 total_force_particles(uint i)
Calculate the total force on a particle p_i from other particles.
+
vec3 external_B_field(vec3 r)
Calculate B at point r.
+
void evolve_RK4(double dt, bool particle_interaction=true)
Go forward one timestep using the RK4 method.
+
vec3 v_func(uint i, uint j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:63
+
vec3 external_E_field(vec3 r)
Calculate E at point r.
+
double d
Characteristic dimension.
Definition: PenningTrap.hpp:37
+
void add_particle(Particle particle)
Add a particle to the system.
+
double V_0
Applied potential.
Definition: PenningTrap.hpp:35
+
simulation_t simulate(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate the particle system inside the Penning trap over a certain amount of time.
+
vec3 force_on_particle(uint i, uint j)
Calculate the force between 2 particles.
+
vec3 r_func(uint i, uint j, double dt)
Helper for evolve_RK4 when calculating values.
Definition: PenningTrap.cpp:82
+
double t
Current time.
Definition: PenningTrap.hpp:38
+
vec3 total_force(uint i)
calculate the total force on a particle p_i.
+
void set_pertubation(double f, double omega_V)
Time dependent perturbation to V_0.
Definition: PenningTrap.cpp:46
+
void reinitialize(double f, double omega_V, double t=0.)
Give all particles new positions and velocities, and change t and V_0.
Definition: PenningTrap.cpp:53
+
void evolve_forward_euler(double dt, bool particle_interaction=true)
Go forward one timestep using the forward Euler method.
+
double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
+
void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
Simulate and write the displacement of all particles to files.
+
std::function< double(double)> perturbation
Time-dependent perturbation.
Definition: PenningTrap.hpp:36
+
sim_arr k_v
Definition: PenningTrap.hpp:40
Library of constants.
-
#define T
1 Tesla. unit:
Definition: constants.hpp:17
-
#define V
1 Volt. unit:
Definition: constants.hpp:19
+
#define T
1 Tesla. unit:
Definition: constants.hpp:21
+
#define V
1 Volt. unit:
Definition: constants.hpp:25
Typedef for PenningTrap::simulation return value.
Definition: typedefs.hpp:40
Useful typedefs for cleaner code.
-
arma::vec::fixed< 3 > vec_3d
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:36
-
std::vector< sim_cols > sim_arr
Typedef for the result of the simulate method.
Definition: typedefs.hpp:32
+
arma::vec::fixed< 3 > vec3
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:23
+
std::vector< sim_cols > sim_arr
Typedef for the result of the simulate method.
Definition: typedefs.hpp:36
Function prototypes and macros that are useful.
diff --git a/docs/animate__100__particles_8py_source.html b/docs/animate__100__particles_8py_source.html index 0475106..6367e48 100644 --- a/docs/animate__100__particles_8py_source.html +++ b/docs/animate__100__particles_8py_source.html @@ -135,7 +135,7 @@ $(document).ready(function(){initNavTree('animate__100__particles_8py_source.htm
32 fig = plt.figure()
33 ax = fig.add_subplot(projection="3d")
34
-
35 arr = get_data([f"output/simulate_100_particles/particle_{i}.txt" for i in range(100)])
+
35 arr = get_data([f"output/simulate_100_particles/particle_{i}_r.txt" for i in range(100)])
36
37 arr = arr[:, :, ::10]
38
diff --git a/docs/annotated_dup.js b/docs/annotated_dup.js index c52b935..37a2cab 100644 --- a/docs/annotated_dup.js +++ b/docs/annotated_dup.js @@ -2,6 +2,6 @@ var annotated_dup = [ [ "Particle", "classParticle.html", "classParticle" ], [ "PenningTrap", "classPenningTrap.html", "classPenningTrap" ], - [ "PenningTrapTest", "classPenningTrapTest.html", null ], + [ "PenningTrapTest", "classPenningTrapTest.html", "classPenningTrapTest" ], [ "simulation", "structsimulation.html", null ] ]; \ No newline at end of file diff --git a/docs/classParticle-members.html b/docs/classParticle-members.html index b3fc92b..2bb47b5 100644 --- a/docs/classParticle-members.html +++ b/docs/classParticle-members.html @@ -105,11 +105,11 @@ $(document).ready(function(){initNavTree('classParticle.html',''); initResizable

This is the complete list of members for Particle, including all inherited members.

- + - - + +
mParticleprivate
Particle(double q, double m, vec_3d r_vec, vec_3d v_vec)Particle
Particle(vec3 r_vec, vec3 v_vec, double q=CA_CHARGE, double m=CA_MASS)Particle
PenningTrapParticlefriend
qParticleprivate
r_vecParticleprivate
v_vecParticleprivate
r_vecParticleprivate
v_vecParticleprivate
diff --git a/docs/classParticle.html b/docs/classParticle.html index 271a213..c413211 100644 --- a/docs/classParticle.html +++ b/docs/classParticle.html @@ -114,24 +114,24 @@ $(document).ready(function(){initNavTree('classParticle.html',''); initResizable - - - + + +

Public Member Functions

 Particle (double q, double m, vec_3d r_vec, vec_3d v_vec)
 Initialize the particle.
 
 Particle (vec3 r_vec, vec3 v_vec, double q=CA_CHARGE, double m=CA_MASS)
 Initialize the particle.
 
+ + + + + + - - - - - -

Private Attributes

vec3 r_vec
 position
 
vec3 v_vec
 velocity
 
double q
 Charge.
 
double m
 Mass.
 
vec_3d r_vec
 position
 
vec_3d v_vec
 velocity
 
@@ -142,10 +142,10 @@ Friends

Detailed Description

A class that holds attributes of a particle.

-

Definition at line 21 of file Particle.hpp.

+

Definition at line 22 of file Particle.hpp.

Constructor & Destructor Documentation

- -

◆ Particle()

+ +

◆ Particle()

@@ -153,26 +153,26 @@ Friends
- - - - - - - - - - - - - + - - + + + + + + + + + + + + + + @@ -221,7 +221,7 @@ Friends

Make private attributes available for PenningTrap.

-

Definition at line 43 of file Particle.hpp.

+

Definition at line 45 of file Particle.hpp.

@@ -248,7 +248,7 @@ Friends

Mass.

-

Definition at line 24 of file Particle.hpp.

+

Definition at line 28 of file Particle.hpp.

@@ -274,12 +274,12 @@ Friends

Charge.

-

Definition at line 23 of file Particle.hpp.

+

Definition at line 27 of file Particle.hpp.

- -

◆ r_vec

+ +

◆ r_vec

@@ -288,7 +288,7 @@ Friends
@@ -304,8 +304,8 @@ Friends - -

◆ v_vec

+ +

◆ v_vec

@@ -314,7 +314,7 @@ Friends
diff --git a/docs/classParticle.js b/docs/classParticle.js index 71255c1..9ffef17 100644 --- a/docs/classParticle.js +++ b/docs/classParticle.js @@ -1,9 +1,9 @@ var classParticle = [ - [ "Particle", "classParticle.html#a7af9f8d1fef63dd7643b06629ac7bef4", null ], + [ "Particle", "classParticle.html#af1d7535fb8311eaa77d2b7b345882ec4", null ], [ "PenningTrap", "classParticle.html#aa797d319549dc2a0beb06cdbfd430232", null ], [ "m", "classParticle.html#aedcc7e1bc53b0e2b1a4a07c9a1b47563", null ], [ "q", "classParticle.html#a566dcc1de4bdc01251776948798ea8e1", null ], - [ "r_vec", "classParticle.html#af9497cd8f2dcad0fad54f571ddb383e6", null ], - [ "v_vec", "classParticle.html#a879692772803d6ab65fa4993b54aea6e", null ] + [ "r_vec", "classParticle.html#a1c59101411db43624828b766f87ad460", null ], + [ "v_vec", "classParticle.html#a3a10400add8dd22b8031330c2aafb6fe", null ] ]; \ No newline at end of file diff --git a/docs/classPenningTrap-members.html b/docs/classPenningTrap-members.html index 973ffb0..d4bca01 100644 --- a/docs/classPenningTrap-members.html +++ b/docs/classPenningTrap-members.html @@ -109,27 +109,29 @@ $(document).ready(function(){initNavTree('classPenningTrap.html',''); initResiza - - - - - - + + + + - - - - - + + + + + + + + + - - - - - - + + + + + +

Friends

Particle::Particle (double q,
double m,
vec_3d vec3  r_vec,
vec_3d v_vec vec3 v_vec,
double q = CA_CHARGE,
double m = CA_MASS 
- +
vec_3d Particle::r_vecvec3 Particle::r_vec
- +
vec_3d Particle::v_vecvec3 Particle::v_vec
dPenningTrapprivate
evolve_forward_euler(double dt, bool particle_interaction=true)PenningTrap
evolve_RK4(double dt, bool particle_interaction=true)PenningTrap
external_B_field(vec_3d r)PenningTrap
external_E_field(vec_3d r)PenningTrap
force_on_particle(unsigned int i, unsigned int j)PenningTrap
fraction_of_particles_left(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
get_r(int i) (defined in PenningTrap)PenningTrap
get_t() (defined in PenningTrap)PenningTrap
external_B_field(vec3 r)PenningTrapprivate
external_E_field(vec3 r)PenningTrapprivate
force_on_particle(uint i, uint j)PenningTrapprivate
fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
k_rPenningTrapprivate
k_vPenningTrapprivate
particlesPenningTrapprivate
PenningTrap(double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)PenningTrap
PenningTrap(unsigned int i, double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)PenningTrap
PenningTrap(std::vector< Particle > particles, double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)PenningTrap
r_func(unsigned int i, unsigned int j, double dt)PenningTrapprivate
simulate(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
PenningTrap(double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap
PenningTrap(uint i, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap
PenningTrap(std::vector< Particle > particles, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap
PenningTrapTest (defined in PenningTrap)PenningTrapfriend
perturbationPenningTrapprivate
r_func(uint i, uint j, double dt)PenningTrapprivate
reinitialize(double f, double omega_V, double t=0.)PenningTrap
set_pertubation(double f, double omega_V)PenningTrap
simulate(double time, uint steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
tPenningTrapprivate
total_force(unsigned int i)PenningTrap
total_force_external(unsigned int i)PenningTrap
total_force_particles(unsigned int i)PenningTrap
V_0PenningTrapprivate
v_func(unsigned int i, unsigned int j, double dt)PenningTrapprivate
write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
total_force(uint i)PenningTrapprivate
total_force_external(uint i)PenningTrapprivate
total_force_particles(uint i)PenningTrapprivate
V_0PenningTrapprivate
v_func(uint i, uint j, double dt)PenningTrapprivate
write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)PenningTrap
diff --git a/docs/classPenningTrap.html b/docs/classPenningTrap.html index f5952a9..9be2e3b 100644 --- a/docs/classPenningTrap.html +++ b/docs/classPenningTrap.html @@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('classPenningTrap.html',''); initResiza Public Member Functions | Private Member Functions | Private Attributes | +Friends | List of all members
PenningTrap Class Reference
@@ -114,73 +115,78 @@ $(document).ready(function(){initNavTree('classPenningTrap.html',''); initResiza - - - - - - - - - + + + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + +

Public Member Functions

 PenningTrap (double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
 PenningTrap (unsigned int i, double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
 PenningTrap (std::vector< Particle > particles, double B_0=T, std::function< double(double)> V_0=[](double t) { return 25. *V/1000.;}, double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
 PenningTrap (double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
 PenningTrap (uint i, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
 PenningTrap (std::vector< Particle > particles, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
 Constructor for the PenningTrap class.
 
void set_pertubation (double f, double omega_V)
 Time dependent perturbation to V_0.
 
void reinitialize (double f, double omega_V, double t=0.)
 Give all particles new positions and velocities, and change t and V_0.
 
void add_particle (Particle particle)
 Add a particle to the system.
 
vec_3d external_E_field (vec_3d r)
 Calculate E at point r.
 
vec_3d external_B_field (vec_3d r)
 Calculate B at point r.
 
vec_3d force_on_particle (unsigned int i, unsigned int j)
 Calculate the force between 2 particles.
 
vec_3d total_force_external (unsigned int i)
 Calculate the total external force on a particle.
 
vec_3d total_force_particles (unsigned int i)
 Calculate the total force on a particle p_i from other particles.
 
vec_3d total_force (unsigned int i)
 calculate the total force on a particle p_i.
 
void evolve_RK4 (double dt, bool particle_interaction=true)
 Go forward one timestep using the RK4 method.
 
void evolve_forward_euler (double dt, bool particle_interaction=true)
 Go forward one timestep using the forward Euler method.
 
simulation_t simulate (double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
 Simulate the particle system inside the Penning trap over a certain amount of time.
 
void write_simulation_to_dir (std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
 Simulate and write the displacement of all particles to files.
 
double fraction_of_particles_left (double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
 Simulate and calculate what fraction of particles are still left inside the Penning trap after the simulation.
 
vec_3d get_r (int i)
 
double get_t ()
 
simulation_t simulate (double time, uint steps, std::string method="rk4", bool particle_interaction=true)
 Simulate the particle system inside the Penning trap over a certain amount of time.
 
void write_simulation_to_dir (std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
 Simulate and write the displacement of all particles to files.
 
double fraction_of_particles_left (double time, uint steps, std::string method="rk4", bool particle_interaction=true)
 Simulate and calculate what fraction of particles are still left inside the Penning trap after the simulation.
 
- - - - - - + + + + + + + + + + + + + + + + + + + + + + + +

Private Member Functions

vec_3d v_func (unsigned int i, unsigned int j, double dt)
 Helper for evolve_RK4 when calculating \(k_{v,i,j}\) values.
 
vec_3d r_func (unsigned int i, unsigned int j, double dt)
 Helper for evolve_RK4 when calculating \(k_{r,i,j}\) values.
 
vec3 v_func (uint i, uint j, double dt)
 Helper for evolve_RK4 when calculating \(k_{v,i,j}\) values.
 
vec3 r_func (uint i, uint j, double dt)
 Helper for evolve_RK4 when calculating \(k_{r,i,j}\) values.
 
vec3 external_E_field (vec3 r)
 Calculate E at point r.
 
vec3 external_B_field (vec3 r)
 Calculate B at point r.
 
vec3 force_on_particle (uint i, uint j)
 Calculate the force between 2 particles.
 
vec3 total_force_external (uint i)
 Calculate the total external force on a particle.
 
vec3 total_force_particles (uint i)
 Calculate the total force on a particle p_i from other particles.
 
vec3 total_force (uint i)
 calculate the total force on a particle p_i.
 
- - - + + + + + + @@ -194,6 +200,11 @@ Private Attributes +

Private Attributes

double B_0
 Magnetic field strength.
 
std::function< double(double)> V_0
 Applied potential.
 
double V_0
 Applied potential.
 
std::function< double(double)> perturbation
 Time-dependent perturbation.
 
double d
 Characteristic dimension.
 
 
sim_arr k_r
 
+ + +

+Friends

class PenningTrapTest
 

Detailed Description

A class that simulates a Penning trap.

@@ -201,8 +212,8 @@ Private Attributes

Definition at line 31 of file PenningTrap.hpp.

Constructor & Destructor Documentation

- -

◆ PenningTrap() [1/3]

+ +

◆ PenningTrap() [1/3]

@@ -216,8 +227,8 @@ Private Attributes - std::function< double(double)>  - V_0 = [](double t) { return 25. * V / 1000.; }, + double  + V_0 = (25. * V) / 1000., @@ -250,12 +261,12 @@ Private Attributes

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zI;e(?kWtCJ^h4Lf2G|6fp%%8lR;Yt*P!HQ-2ke9fXoOwR1iN7mG{atKfqk$a4u7cB zjrt1?s(!xAy4~xPMmMLtPHS|($Lown!zr&$jS4@#x-?GpdY#oc zGwpRw<80pRyvBX?UKcdJU1Y<0XMe)TjT-&GjDbpHu+tcNU_2T#o_sYznenvBc=5-W z95P=0HQxL)-ZA&@n~aYgMj>Z>dTo53Hokl?#vdEsZg6>EFav`b7|h^<$@~T8FED?B z(F Date: Mon, 23 Oct 2023 09:45:08 +0200 Subject: [PATCH 16/32] Refactor - Change PenningTrap so that perturbation is its own field - Add Calcium mass and charge to constants --- include/PenningTrap.hpp | 40 ++++++++++++-------------- include/constants.hpp | 4 +++ src/PenningTrap.cpp | 62 ++++++++++++++++++++++------------------- 3 files changed, 56 insertions(+), 50 deletions(-) diff --git a/include/PenningTrap.hpp b/include/PenningTrap.hpp index 411b3cc..425afeb 100644 --- a/include/PenningTrap.hpp +++ b/include/PenningTrap.hpp @@ -31,7 +31,8 @@ class PenningTrap { private: double B_0; ///< Magnetic field strength - std::function V_0; ///< Applied potential + double V_0; ///< Applied potential + std::function perturbation; ///< Time-dependent perturbation double d; ///< Characteristic dimension double t; ///< Current time std::vector particles; ///< The particles in the Penning trap @@ -50,7 +51,7 @@ private: * * @return vec_3d * */ - vec_3d v_func(unsigned int i, unsigned int j, double dt); + vec_3d v_func(uint i, uint j, double dt); /** @brief Helper for evolve_RK4 when calculating \f$k_{r,i,j}\f$ values * @@ -62,7 +63,7 @@ private: * * @return vec_3d * */ - vec_3d r_func(unsigned int i, unsigned int j, double dt); + vec_3d r_func(uint i, uint j, double dt); public: /** @brief Constructor for the PenningTrap class @@ -74,8 +75,7 @@ public: * */ PenningTrap( double B_0 = T, - std::function V_0 - = [](double t) { return (25. * V) / 1000.; }, + double V_0 = (25. * V) / 1000., double d = 500., double t = 0.); /** @brief Constructor for the PenningTrap class @@ -87,9 +87,8 @@ public: * @param t The starting time * */ PenningTrap( - unsigned int i, double B_0 = T, - std::function V_0 - = [](double t) { return 25. * V / 1000.; }, + uint i, double B_0 = T, + double V_0 = (25. * V) / 1000., double d = 500., double t = 0.); /** @brief Constructor for the PenningTrap class @@ -102,10 +101,11 @@ public: * */ PenningTrap( std::vector particles, double B_0 = T, - std::function V_0 - = [](double t) { return 25. * V / 1000.; }, + double V_0 = (25. * V) / 1000., double d = 500., double t = 0.); + void set_pertubation(double f, double omega_V); + /** @brief Give all particles new positions and velocities, and change t * and V_0. * @@ -113,8 +113,7 @@ public: * @param t The starting time * */ void reinitialize( - std::function V_0 - = [](double t) { return 25. * V / 1000.; }, + double f, double omega_V, double t = 0.); /** @brief Add a particle to the system @@ -149,7 +148,7 @@ public: * * @return vec_3d * */ - vec_3d force_on_particle(unsigned int i, unsigned int j); + vec_3d force_on_particle(uint i, uint j); /** @brief Calculate the total external force on a particle. * @@ -160,7 +159,7 @@ public: * * @return vec_3d * */ - vec_3d total_force_external(unsigned int i); + vec_3d total_force_external(uint i); /** @brief Calculate the total force on a particle p_i from other * particles. @@ -169,7 +168,7 @@ public: * * @return vec_3d * */ - vec_3d total_force_particles(unsigned int i); + vec_3d total_force_particles(uint i); /** @brief calculate the total force on a particle p_i. * @@ -177,7 +176,7 @@ public: * * @return vec_3d * */ - vec_3d total_force(unsigned int i); + vec_3d total_force(uint i); /** @brief Go forward one timestep using the RK4 method * @@ -203,7 +202,7 @@ public: * * @return simulation_t * */ - simulation_t simulate(double time, unsigned int steps, + simulation_t simulate(double time, uint steps, std::string method = "rk4", bool particle_interaction = true); @@ -216,7 +215,7 @@ public: * @param particle_interaction Turn particle interactions on/off * */ void write_simulation_to_dir(std::string path, double time, - unsigned int steps, + uint steps, std::string method = "rk4", bool particle_interaction = true); @@ -230,12 +229,9 @@ public: * * @return double * */ - double fraction_of_particles_left(double time, unsigned int steps, + double fraction_of_particles_left(double time, uint steps, std::string method = "rk4", bool particle_interaction = true); - - vec_3d get_r(int i); - double get_t(); }; #endif diff --git a/include/constants.hpp b/include/constants.hpp index 06942ee..bc8694a 100644 --- a/include/constants.hpp +++ b/include/constants.hpp @@ -18,4 +18,8 @@ #define V 9.64852558*1e7 ///< 1 Volt. unit: \f$ \frac{u (\mu m)^2}{(\mu s)^2 e} \f$ +#define CA_MASS 40.078 ///< Mass of a single calcium ion. unit: amu + +#define CA_CHARGE 1. ///< Charge of a singly charged calcium ion. unit: e + #endif diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index af4b19e..806901b 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -14,45 +14,52 @@ #include "typedefs.hpp" #include #include +#include #include -PenningTrap::PenningTrap(double B_0, std::function V_0, - double d, double t) +PenningTrap::PenningTrap(double B_0, double V_0, double d, double t) { this->B_0 = B_0; this->V_0 = V_0; this->d = d; this->t = t; + this->perturbation = [](double t) { return 1.; }; } -PenningTrap::PenningTrap(unsigned int i, double B_0, - std::function V_0, double d, double t) +PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t) : PenningTrap::PenningTrap(B_0, V_0, d) { for (size_t j = 0; j < i; j++) { - this->particles.push_back(Particle(1., 40., vec_3d(vec_3d().randn() * .1 * this->d), - vec_3d(vec_3d().randn() * .1 * this->d))); + this->particles.push_back( + Particle(1., 40., vec_3d(vec_3d().randn() * .1 * this->d), + vec_3d(vec_3d().randn() * .1 * this->d))); } } PenningTrap::PenningTrap(std::vector particles, double B_0, - std::function V_0, double d, double t) + double V_0, double d, double t) : PenningTrap::PenningTrap(B_0, V_0, d) { this->particles = particles; } -void PenningTrap::reinitialize(std::function V_0, double t) +void PenningTrap::set_pertubation(double f, double omega_V) +{ + this->perturbation + = [f, omega_V](double t) { return f * std::cos(omega_V * t); }; +} + +void PenningTrap::reinitialize(double f, double omega_V, double t) { - this->V_0 = V_0; this->t = t; + this->set_pertubation(f, omega_V); for (size_t i = 0; i < this->particles.size(); i++) { this->particles[i].r_vec = vec_3d().randn() * .1 * this->d; } } -vec_3d PenningTrap::v_func(unsigned int i, unsigned int j, double dt) +vec_3d PenningTrap::v_func(uint i, uint j, double dt) { switch (i) { case 0: @@ -71,7 +78,7 @@ vec_3d PenningTrap::v_func(unsigned int i, unsigned int j, double dt) } } -vec_3d PenningTrap::r_func(unsigned int i, unsigned int j, double dt) +vec_3d PenningTrap::r_func(uint i, uint j, double dt) { switch (i) { case 0: @@ -99,7 +106,8 @@ vec_3d PenningTrap::external_E_field(vec_3d r) { r(2) *= -2.; - return vec_3d((this->V_0(this->t) / (this->d * this->d)) * r); + return vec_3d( + (this->V_0 * this->perturbation(this->t) / (this->d * this->d)) * r); } vec_3d PenningTrap::external_B_field(vec_3d r) @@ -107,7 +115,7 @@ vec_3d PenningTrap::external_B_field(vec_3d r) return vec_3d{0., 0., this->B_0}; } -vec_3d PenningTrap::force_on_particle(unsigned int i, unsigned int j) +vec_3d PenningTrap::force_on_particle(uint i, uint j) { // Calculate the difference between the particles' position vec_3d res = this->particles[i].r_vec - this->particles[j].r_vec; @@ -118,7 +126,7 @@ vec_3d PenningTrap::force_on_particle(unsigned int i, unsigned int j) return vec_3d((this->particles[j].q / (norm * norm * norm)) * res); } -vec_3d PenningTrap::total_force_external(unsigned int i) +vec_3d PenningTrap::total_force_external(uint i) { Particle *p = &this->particles[i]; @@ -132,7 +140,7 @@ vec_3d PenningTrap::total_force_external(unsigned int i) + arma::cross(p->v_vec, this->external_B_field(p->r_vec)))); } -vec_3d PenningTrap::total_force_particles(unsigned int i) +vec_3d PenningTrap::total_force_particles(uint i) { vec_3d res; @@ -141,10 +149,10 @@ vec_3d PenningTrap::total_force_particles(unsigned int i) res += this->force_on_particle(i, j); } - return vec_3d(res * K_E * (this->particles[i].q)); + return vec_3d(res * (K_E * this->particles[i].q)); } -vec_3d PenningTrap::total_force(unsigned int i) +vec_3d PenningTrap::total_force(uint i) { if (arma::norm(this->particles[i].r_vec) > this->d) { return vec_3d{0., 0., 0.}; @@ -159,7 +167,7 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) std::vector original_particles = this->particles; std::vector tmp_particles = this->particles; - vec_3d (PenningTrap::*force)(unsigned int) + vec_3d (PenningTrap::*force)(uint) = particle_interaction ? &PenningTrap::total_force : &PenningTrap::total_force_external; @@ -197,7 +205,7 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) vec_3d force_res[size]; Particle *p; - vec_3d (PenningTrap::*force)(unsigned int) + vec_3d (PenningTrap::*force)(uint) = particle_interaction ? &PenningTrap::total_force : &PenningTrap::total_force_external; @@ -220,13 +228,12 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) this->t += dt; } -simulation_t PenningTrap::simulate(double time, unsigned int steps, - std::string method, +simulation_t PenningTrap::simulate(double time, uint steps, std::string method, bool particle_interaction) { double dt = time / (double)steps; - unsigned int size = this->particles.size(); + uint size = this->particles.size(); simulation_t res{sim_arr(size, sim_cols(steps)), sim_arr(size, sim_cols(steps))}; @@ -255,8 +262,7 @@ simulation_t PenningTrap::simulate(double time, unsigned int steps, } void PenningTrap::write_simulation_to_dir(std::string path, double time, - unsigned int steps, - std::string method, + uint steps, std::string method, bool particle_interaction) { if (path.back() != '/') { @@ -293,7 +299,7 @@ void PenningTrap::write_simulation_to_dir(std::string path, double time, } } -double PenningTrap::fraction_of_particles_left(double time, unsigned int steps, +double PenningTrap::fraction_of_particles_left(double time, uint steps, std::string method, bool particle_interaction) { @@ -317,9 +323,9 @@ double PenningTrap::fraction_of_particles_left(double time, unsigned int steps, int particles_left = 0; - // A reduction is perfect here - #pragma omp parallel for reduction(+:particles_left) - for (size_t i=0; i < this->particles.size(); i++) { +// A reduction is perfect here +#pragma omp parallel for reduction(+ : particles_left) + for (size_t i = 0; i < this->particles.size(); i++) { if (arma::norm(this->particles[i].r_vec) < this->d) { particles_left++; } -- 2.20.1 From 8f315a095598cba6fc613d591aabe14461755d20 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 09:54:13 +0200 Subject: [PATCH 17/32] Change Particle - Give Particle default values for mass and charge - Modify PenningTrap to use the new Particle constructor - Modify main.cpp to use the new Particle constructor - Modify test_suite.cpp to use the new Particle constructor --- include/Particle.hpp | 7 ++++--- src/Particle.cpp | 8 +++----- src/PenningTrap.cpp | 2 +- src/main.cpp | 45 ++++++++++++++++++-------------------------- src/test_suite.cpp | 19 ++++++++++--------- 5 files changed, 36 insertions(+), 45 deletions(-) diff --git a/include/Particle.hpp b/include/Particle.hpp index 4b5e716..fb26a78 100644 --- a/include/Particle.hpp +++ b/include/Particle.hpp @@ -15,15 +15,16 @@ #include #include "typedefs.hpp" +#include "constants.hpp" /** @brief A class that holds attributes of a particle * */ class Particle { private: - double q; ///< Charge - double m; ///< Mass vec_3d r_vec; ///< position vec_3d v_vec; ///< velocity + double q; ///< Charge + double m; ///< Mass public: /** @brief Initialize the particle. @@ -36,7 +37,7 @@ public: * @param r_vec The initial position of the particle * @param v_vec The initial velocity of the particle * */ - Particle(double q, double m, vec_3d r_vec, vec_3d v_vec); + Particle(vec_3d r_vec, vec_3d v_vec, double q = CA_CHARGE, double m = CA_MASS); /** @brief Make private attributes available for PenningTrap. * */ diff --git a/src/Particle.cpp b/src/Particle.cpp index 374812f..e1f837b 100644 --- a/src/Particle.cpp +++ b/src/Particle.cpp @@ -12,13 +12,11 @@ #include "Particle.hpp" -Particle::Particle(double q, double m, - vec_3d r_vec, - vec_3d v_vec) +Particle::Particle(vec_3d r_vec, vec_3d v_vec, double q, double m) { // Giving the particle its properties - this->q = q; - this->m = m; this->r_vec = r_vec; this->v_vec = v_vec; + this->q = q; + this->m = m; } diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index 806901b..6ccf12d 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -31,7 +31,7 @@ PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t) { for (size_t j = 0; j < i; j++) { this->particles.push_back( - Particle(1., 40., vec_3d(vec_3d().randn() * .1 * this->d), + Particle(vec_3d(vec_3d().randn() * .1 * this->d), vec_3d(vec_3d().randn() * .1 * this->d))); } } diff --git a/src/main.cpp b/src/main.cpp index 641c66a..76286d1 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -18,18 +18,15 @@ #include #include "PenningTrap.hpp" +#include "constants.hpp" #include "utils.hpp" #define PARTICLES 100 #define N 40000 -#define CHARGE 1. // unit: e -#define MASS 40.078 // unit: amu // Particles used for testing -Particle p1(CHARGE, MASS, vec_3d{20., 0., 20.}, - vec_3d{0., 25., 0.}); ///< Particle 1 -Particle p2(CHARGE, MASS, vec_3d{25., 25., 0.}, - vec_3d{0., 40., 5.}); ///< Particle 2 +Particle p1(vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.}); ///< Particle 1 +Particle p2(vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.}); ///< Particle 2 /** @brief The analytical solution for particle p1 * @@ -39,8 +36,8 @@ Particle p2(CHARGE, MASS, vec_3d{25., 25., 0.}, * */ vec_3d analytical_solution_particle_1(double t) { - double w_0 = T / MASS; - double w_z2 = (50. * V / 1000.) / (MASS * 500. * 500.); + double w_0 = T / CA_MASS; + double w_z2 = (50. * V / 1000.) / (CA_MASS * 500. * 500.); double w_p = (w_0 + std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.; double w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.; double A_p = (25. + w_n * 20.) / (w_n - w_p); @@ -184,11 +181,7 @@ void potential_resonance_wide_sweep() for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { // Reset particles and give new time dependent potential. - trap.reinitialize(std::bind( - [](double f, double r, double t) { - return (25. * V / 1000.) * (1. + f * std::cos(r * t)); - }, - amplitudes[i], res[0][j], std::placeholders::_1)); + trap.reinitialize(amplitudes[i], res[0][j]); res[i + 1][j] = trap.fraction_of_particles_left(time, N, "rk4", false); } @@ -211,7 +204,7 @@ void potential_resonance_wide_sweep() * MHz. * * */ -void potential_resonance_no_interaction_narrow_sweep() +void potential_resonance_narrow_sweep() { double time = 500.; @@ -230,6 +223,12 @@ void potential_resonance_no_interaction_narrow_sweep() std::ofstream ofile; +#pragma omp parallel for + // Insert frequencies + for (size_t i = 0; i < freq_iterations; i++) { + res[0][i] = freq_start + freq_increment * i; + } + #pragma omp parallel { // Each thread creates a PenningTrap instance and reuses it throughout @@ -239,11 +238,7 @@ void potential_resonance_no_interaction_narrow_sweep() for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { // Reset particles and give new time dependent potential. - trap.reinitialize(std::bind( - [](double f, double r, double t) { - return (25. * V / 1000.) * (1. + f * std::cos(r * t)); - }, - amplitudes[i], res[0][j], std::placeholders::_1)); + trap.reinitialize(amplitudes[i], res[0][j]); res[i + 1][j] = trap.fraction_of_particles_left(time, N, "rk4", false); } @@ -266,7 +261,7 @@ void potential_resonance_no_interaction_narrow_sweep() * MHz. * * */ -void potential_resonance_with_interaction_narrow_sweep() +void potential_resonance_narrow_sweep_interaction() { double time = 500.; @@ -299,11 +294,7 @@ void potential_resonance_with_interaction_narrow_sweep() for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { // Reset particles and give new time dependent potential. - trap.reinitialize(std::bind( - [](double f, double r, double t) { - return (25. * V / 1000.) * (1. + f * std::cos(r * t)); - }, - amplitudes[i], res[0][j], std::placeholders::_1)); + trap.reinitialize(amplitudes[i], res[0][j]); res[i + 1][j] = trap.fraction_of_particles_left(time, N); } } @@ -354,7 +345,7 @@ int main() t1 = omp_get_wtime(); - potential_resonance_no_interaction_narrow_sweep(); + potential_resonance_narrow_sweep(); t2 = omp_get_wtime(); @@ -363,7 +354,7 @@ int main() t1 = omp_get_wtime(); - potential_resonance_with_interaction_narrow_sweep(); + potential_resonance_narrow_sweep_interaction(); t2 = omp_get_wtime(); diff --git a/src/test_suite.cpp b/src/test_suite.cpp index a2a0639..16c3f53 100644 --- a/src/test_suite.cpp +++ b/src/test_suite.cpp @@ -15,6 +15,7 @@ #include #include "PenningTrap.hpp" +#include "constants.hpp" #include "utils.hpp" /** @brief Test class for the Penning trap. @@ -81,9 +82,9 @@ public: vec_3d v{0., 0., 0.}; // Add particles to test - trap.add_particle(Particle(1., 40., vec_3d{0., 0., 0.}, v)); - trap.add_particle(Particle(1., 40., vec_3d{1., 0., 0.}, v)); - trap.add_particle(Particle(1., 40., vec_3d{0., 3., 4.}, v)); + trap.add_particle(Particle(vec_3d{0., 0., 0.}, v)); + trap.add_particle(Particle(vec_3d{1., 0., 0.}, v)); + trap.add_particle(Particle(vec_3d{0., 3., 4.}, v)); // Test p0 and p1 vec_3d expected{-1., 0., 0.}; @@ -106,7 +107,7 @@ public: { PenningTrap trap; trap.add_particle( - Particle(1., 40., vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.})); + Particle(vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.})); vec_3d expected{395.58954878, -270.15871624, -57.89115348}; vec_3d result = trap.total_force_external(0); @@ -122,7 +123,7 @@ public: { PenningTrap trap; trap.add_particle( - Particle(1., 40., vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); + Particle(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); vec_3d expected{0., 0., 0.}; vec_3d result = trap.total_force_particles(0); @@ -131,13 +132,13 @@ public: "with only a single particle"); trap.add_particle( - Particle(1., 40., vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.})); + Particle(vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.})); trap.add_particle( - Particle(1., 40., vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.})); + Particle(vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.})); trap.add_particle( - Particle(1., 40., vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.})); + Particle(vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.})); - expected = vec_3d().fill(-3473.383325); + expected = vec_3d().fill(-138935.333); result = trap.total_force_particles(0); ASSERT(close_to(expected, result), "Testing the total force of all particles on particle 0 " -- 2.20.1 From d08a4a046c564ca50e147e62819b9b80959ebf94 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 10:50:08 +0200 Subject: [PATCH 18/32] Update formatting --- .clang-format | 7 ++----- 1 file changed, 2 insertions(+), 5 deletions(-) diff --git a/.clang-format b/.clang-format index aa36097..749a98e 100644 --- a/.clang-format +++ b/.clang-format @@ -4,9 +4,6 @@ TabWidth: 4 AccessModifierOffset: -4 IndentAccessModifiers: false AllowShortFunctionsOnASingleLine: false -BreakBeforeBraces: Custom -BraceWrapping: - AfterFunction: true - BeforeElse: true -BreakBeforeBinaryOperators: All +BreakBeforeBraces: Linux +BreakBeforeBinaryOperators: NonAssignment ColumnLimit: 79 -- 2.20.1 From 79da936956d6831548e1b7438a9a7fafd40fb460 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 10:52:38 +0200 Subject: [PATCH 19/32] Update formatting --- include/Particle.hpp | 8 ++++--- include/constants.hpp | 20 ++++++++++++----- include/typedefs.hpp | 4 ++-- include/utils.hpp | 50 +++++++++++++++++-------------------------- src/PenningTrap.cpp | 48 +++++++++++++++++++---------------------- src/main.cpp | 32 +++++++++++++-------------- src/test_suite.cpp | 34 +++++++++++++---------------- src/utils.cpp | 15 ++++++------- 8 files changed, 102 insertions(+), 109 deletions(-) diff --git a/include/Particle.hpp b/include/Particle.hpp index fb26a78..682859c 100644 --- a/include/Particle.hpp +++ b/include/Particle.hpp @@ -14,12 +14,13 @@ #include -#include "typedefs.hpp" #include "constants.hpp" +#include "typedefs.hpp" /** @brief A class that holds attributes of a particle * */ -class Particle { +class Particle +{ private: vec_3d r_vec; ///< position vec_3d v_vec; ///< velocity @@ -37,7 +38,8 @@ public: * @param r_vec The initial position of the particle * @param v_vec The initial velocity of the particle * */ - Particle(vec_3d r_vec, vec_3d v_vec, double q = CA_CHARGE, double m = CA_MASS); + Particle(vec_3d r_vec, vec_3d v_vec, double q = CA_CHARGE, + double m = CA_MASS); /** @brief Make private attributes available for PenningTrap. * */ diff --git a/include/constants.hpp b/include/constants.hpp index bc8694a..0546a4f 100644 --- a/include/constants.hpp +++ b/include/constants.hpp @@ -12,14 +12,24 @@ #ifndef __CONST__ #define __CONST__ -#define K_E 1.38935333*1e5 ///< Coulomb constant. unit: \f$\frac{u(\mu m)^3}{(\mu s)^2 e^2}\f$ +/** @brief Coulomb constant. unit: \f$\frac{u(\mu m)^3}{(\mu s)^2 e^2}\f$ + * */ +#define K_E 1.38935333 * 1e5 -#define T 9.64852558*1e1 ///< 1 Tesla. unit: \f$ \frac{u}{(\mu s) e} \f$ +/** @brief 1 Tesla. unit: \f$ \frac{u}{(\mu s) e} \f$ + * */ +#define T 9.64852558 * 1e1 -#define V 9.64852558*1e7 ///< 1 Volt. unit: \f$ \frac{u (\mu m)^2}{(\mu s)^2 e} \f$ +/** @brief 1 Volt. unit: \f$ \frac{u (\mu m)^2}{(\mu s)^2 e} \f$ + * */ +#define V 9.64852558 * 1e7 -#define CA_MASS 40.078 ///< Mass of a single calcium ion. unit: amu +/** @brief Mass of a single calcium ion. unit: amu + * */ +#define CA_MASS 40.078 -#define CA_CHARGE 1. ///< Charge of a singly charged calcium ion. unit: e +/** @brief Charge of a singly charged calcium ion. unit: e + * */ +#define CA_CHARGE 1. #endif diff --git a/include/typedefs.hpp b/include/typedefs.hpp index a5154b8..64234e8 100644 --- a/include/typedefs.hpp +++ b/include/typedefs.hpp @@ -7,7 +7,7 @@ * * @brief Useful typedefs for cleaner code. * - * @details These typedefs make the code more readable and easy to follow + * @details These typedefs make the code more readable and easy to follow * along. * * @bug No known bugs @@ -18,7 +18,7 @@ #include #include -/** @brief Typedef for the column of the result vector from simulating +/** @brief Typedef for the column of the result vector from simulating * particles. * */ typedef std::vector> sim_cols; diff --git a/include/utils.hpp b/include/utils.hpp index c8469c9..e2e28c2 100644 --- a/include/utils.hpp +++ b/include/utils.hpp @@ -27,14 +27,14 @@ * * This macro writes a debug message that includes the filename, * line number, and a custom message. The function is wrapped in an ifdef - * that checks if DBG is defined, so one can choose to display the debug + * that checks if DBG is defined, so one can choose to display the debug * messages by adding the -DDBG flag when compiling. * */ #ifdef DBG - #define DEBUG(msg) std::cout << __FILE__ << " " << __LINE__ << ": " \ - << msg << std::endl +#define DEBUG(msg) \ + std::cout << __FILE__ << " " << __LINE__ << ": " << msg << std::endl #else - #define DEBUG(msg) +#define DEBUG(msg) #endif /** @def ASSERT(expr) @@ -43,15 +43,14 @@ * This macro calls the m_assert function which is a more informative * assertion function than the regular assert function from cassert. * */ -#define ASSERT(expr, msg) m_assert(expr, #expr, __METHOD_NAME__, __FILE__, \ - __LINE__, msg) +#define ASSERT(expr, msg) \ + m_assert(expr, #expr, __METHOD_NAME__, __FILE__, __LINE__, msg) /** @def __METHOD_NAME__ * @brief Get the name of the current method/function without the return type. * */ #define __METHOD_NAME__ methodName(__PRETTY_FUNCTION__) - /** @brief Turns a double into a string written in scientific format. * * @details The code is stolen from https://github.com/anderkve/FYS3150. @@ -62,11 +61,11 @@ * * @return std::string * */ -std::string scientific_format(double d, int width=20, int prec=10); +std::string scientific_format(double d, int width = 20, int prec = 10); - -/** @brief Turns a vector of doubles into a string written in scientific format. - * +/** @brief Turns a vector of doubles into a string written in scientific + * format. + * * @details The code is stolen from https://github.com/anderkve/FYS3150. * * @param v The vector to stringify @@ -75,14 +74,12 @@ std::string scientific_format(double d, int width=20, int prec=10); * * @return std::string * */ -std::string scientific_format(const std::vector& v, - int width=20, - int prec=10); - +std::string scientific_format(const std::vector &v, int width = 20, + int prec = 10); /** @brief Test an expression, confirm that test is ok, or abort execution. * - * @details This function takes in an expression and prints an OK message if + * @details This function takes in an expression and prints an OK message if * it's true, or it prints a fail message and aborts execution if it fails. * * @param expr The expression to be evaluated @@ -92,17 +89,12 @@ std::string scientific_format(const std::vector& v, * @param line The line number where this function is called from * @param msg The message to be displayed * */ -void m_assert(bool expr, - std::string expr_str, - std::string func, - std::string file, - int line, - std::string msg); - +void m_assert(bool expr, std::string expr_str, std::string func, + std::string file, int line, std::string msg); /** @brief Test if two armadillo vectors are close to each other. * - * @details This function takes in 2 vectors and checks if they are + * @details This function takes in 2 vectors and checks if they are * approximately equal to each other given a tolerance. * * @param a Vector a @@ -111,8 +103,7 @@ void m_assert(bool expr, * * @return bool * */ -bool close_to(arma::vec &a, arma::vec &b, double tol=1e-8); - +bool close_to(arma::vec &a, arma::vec &b, double tol = 1e-8); /** @brief Takes in the __PRETTY_FUNCTION__ string and removes the return type. * @@ -124,16 +115,15 @@ bool close_to(arma::vec &a, arma::vec &b, double tol=1e-8); * * @return std::string * */ -static inline std::string methodName(const std::string& pretty_function) +static inline std::string methodName(const std::string &pretty_function) { size_t colons = pretty_function.find("::"); - size_t begin = pretty_function.substr(0,colons).rfind(" ") + 1; + size_t begin = pretty_function.substr(0, colons).rfind(" ") + 1; size_t end = pretty_function.rfind("(") - begin; - return pretty_function.substr(begin,end) + "()"; + return pretty_function.substr(begin, end) + "()"; } - /** @brief Make path given. * * @details This tries to be the equivalent to "mkdir -p" and creates a new diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index 6ccf12d..dbf7991 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -45,8 +45,9 @@ PenningTrap::PenningTrap(std::vector particles, double B_0, void PenningTrap::set_pertubation(double f, double omega_V) { - this->perturbation - = [f, omega_V](double t) { return f * std::cos(omega_V * t); }; + this->perturbation = [f, omega_V](double t) { + return f * std::cos(omega_V * t); + }; } void PenningTrap::reinitialize(double f, double omega_V, double t) @@ -167,9 +168,9 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) std::vector original_particles = this->particles; std::vector tmp_particles = this->particles; - vec_3d (PenningTrap::*force)(uint) - = particle_interaction ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec_3d (PenningTrap::*force)(uint) = + particle_interaction ? &PenningTrap::total_force + : &PenningTrap::total_force_external; size_t size = this->particles.size(); @@ -188,10 +189,10 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) this->k_v[i][j] = (this->*force)(j) / this->particles[j].m; this->k_r[i][j] = this->particles[j].v_vec; - tmp_particles[j].v_vec - = original_particles[j].v_vec + this->v_func(i, j, dt); - tmp_particles[j].r_vec - = original_particles[j].r_vec + this->r_func(i, j, dt); + tmp_particles[j].v_vec = + original_particles[j].v_vec + this->v_func(i, j, dt); + tmp_particles[j].r_vec = + original_particles[j].r_vec + this->r_func(i, j, dt); } this->particles = tmp_particles; } @@ -205,9 +206,9 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) vec_3d force_res[size]; Particle *p; - vec_3d (PenningTrap::*force)(uint) - = particle_interaction ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec_3d (PenningTrap::*force)(uint) = + particle_interaction ? &PenningTrap::total_force + : &PenningTrap::total_force_external; // Calculating the force for each particle is independent and therefore // a good candidate for parallel execution @@ -220,9 +221,8 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) // this as well #pragma omp parallel for private(p) for (size_t i = 0; i < size; i++) { - p = &this->particles[i]; - p->r_vec += dt * p->v_vec; - p->v_vec += dt * force_res[i] / p->m; + p->r_vec += dt * this->particles[i].v_vec; + p->v_vec += dt * force_res[i] / this->particles[i].m; } this->t += dt; @@ -241,11 +241,9 @@ simulation_t PenningTrap::simulate(double time, uint steps, std::string method, void (PenningTrap::*func)(double, bool); if (method == "rk4") { func = &PenningTrap::evolve_RK4; - } - else if (method == "euler") { + } else if (method == "euler") { func = &PenningTrap::evolve_forward_euler; - } - else { + } else { std::cout << "Not a valid method!" << std::endl; abort(); } @@ -273,8 +271,8 @@ void PenningTrap::write_simulation_to_dir(std::string path, double time, abort(); } - simulation_t res - = this->simulate(time, steps, method, particle_interaction); + simulation_t res = + this->simulate(time, steps, method, particle_interaction); std::ofstream ofile; @@ -308,11 +306,9 @@ double PenningTrap::fraction_of_particles_left(double time, uint steps, void (PenningTrap::*func)(double, bool); if (method == "rk4") { func = &PenningTrap::evolve_RK4; - } - else if (method == "euler") { + } else if (method == "euler") { func = &PenningTrap::evolve_forward_euler; - } - else { + } else { std::cout << "Not a valid method!" << std::endl; abort(); } @@ -323,7 +319,7 @@ double PenningTrap::fraction_of_particles_left(double time, uint steps, int particles_left = 0; -// A reduction is perfect here + // A reduction is perfect here #pragma omp parallel for reduction(+ : particles_left) for (size_t i = 0; i < this->particles.size(); i++) { if (arma::norm(this->particles[i].r_vec) < this->d) { diff --git a/src/main.cpp b/src/main.cpp index 76286d1..8c5b300 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -42,9 +42,9 @@ vec_3d analytical_solution_particle_1(double t) double w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.; double A_p = (25. + w_n * 20.) / (w_n - w_p); double A_n = -(25. + w_p * 20.) / (w_n - w_p); - std::complex f - = A_p * std::exp(std::complex(0., -w_p * t)) - + A_n * std::exp(std::complex(0., -w_n * t)); + std::complex f = + A_p * std::exp(std::complex(0., -w_p * t)) + + A_n * std::exp(std::complex(0., -w_n * t)); vec_3d res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)}; return res; @@ -156,8 +156,8 @@ void potential_resonance_wide_sweep() double freq_start = .2; double freq_end = 2.5; double freq_increment = .02; - size_t freq_iterations - = (size_t)((freq_end - freq_start) / freq_increment) + 1; + size_t freq_iterations = + (size_t)((freq_end - freq_start) / freq_increment) + 1; double res[4][freq_iterations]; @@ -176,14 +176,14 @@ void potential_resonance_wide_sweep() { // Each thread creates a PenningTrap instance and reuses it throughout // the sweep. - PenningTrap trap((unsigned int)100); + PenningTrap trap((uint)100); #pragma omp for collapse(2) for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { // Reset particles and give new time dependent potential. trap.reinitialize(amplitudes[i], res[0][j]); - res[i + 1][j] - = trap.fraction_of_particles_left(time, N, "rk4", false); + res[i + 1][j] = + trap.fraction_of_particles_left(time, N, "rk4", false); } } } @@ -213,8 +213,8 @@ void potential_resonance_narrow_sweep() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations - = (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = + (size_t)((freq_end - freq_start) / freq_increment); double res[4][freq_iterations]; @@ -233,14 +233,14 @@ void potential_resonance_narrow_sweep() { // Each thread creates a PenningTrap instance and reuses it throughout // the sweep. - PenningTrap trap((unsigned int)100); + PenningTrap trap((uint)100); #pragma omp for collapse(2) for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { // Reset particles and give new time dependent potential. trap.reinitialize(amplitudes[i], res[0][j]); - res[i + 1][j] - = trap.fraction_of_particles_left(time, N, "rk4", false); + res[i + 1][j] = + trap.fraction_of_particles_left(time, N, "rk4", false); } } } @@ -270,8 +270,8 @@ void potential_resonance_narrow_sweep_interaction() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations - = (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = + (size_t)((freq_end - freq_start) / freq_increment); double res[4][freq_iterations]; @@ -289,7 +289,7 @@ void potential_resonance_narrow_sweep_interaction() { // Each thread creates a PenningTrap instance and reuses it throughout // the sweep. - PenningTrap trap((unsigned int)100); + PenningTrap trap((uint)100); #pragma omp for collapse(2) for (size_t i = 0; i < 3; i++) { for (size_t j = 0; j < freq_iterations; j++) { diff --git a/src/test_suite.cpp b/src/test_suite.cpp index 16c3f53..3828541 100644 --- a/src/test_suite.cpp +++ b/src/test_suite.cpp @@ -20,7 +20,8 @@ /** @brief Test class for the Penning trap. * */ -class PenningTrapTest { +class PenningTrapTest +{ public: /** @brief Test that the external E field gives correct values. * */ @@ -34,17 +35,17 @@ public: tests.push_back( std::make_pair(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); - tests.push_back(std::make_pair(vec_3d{10., 0., 0.}, - vec_3d{96.4852558, 0., 0.})); + tests.push_back( + std::make_pair(vec_3d{10., 0., 0.}, vec_3d{96.4852558, 0., 0.})); - tests.push_back(std::make_pair(vec_3d{10., 0., 0.}, - vec_3d{96.4852558, 0., 0.})); + tests.push_back( + std::make_pair(vec_3d{10., 0., 0.}, vec_3d{96.4852558, 0., 0.})); - tests.push_back(std::make_pair(vec_3d{0., 10., 0.}, - vec_3d{0., 96.4852558, 0.})); + tests.push_back( + std::make_pair(vec_3d{0., 10., 0.}, vec_3d{0., 96.4852558, 0.})); - tests.push_back(std::make_pair(vec_3d{0., 0., 10.}, - vec_3d{0., 0., -192.9705116})); + tests.push_back( + std::make_pair(vec_3d{0., 0., 10.}, vec_3d{0., 0., -192.9705116})); vec_3d result; vec_3d v; @@ -106,8 +107,7 @@ public: static void test_total_force_external() { PenningTrap trap; - trap.add_particle( - Particle(vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.})); + trap.add_particle(Particle(vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.})); vec_3d expected{395.58954878, -270.15871624, -57.89115348}; vec_3d result = trap.total_force_external(0); @@ -122,8 +122,7 @@ public: static void test_total_force_particles() { PenningTrap trap; - trap.add_particle( - Particle(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); vec_3d expected{0., 0., 0.}; vec_3d result = trap.total_force_particles(0); @@ -131,12 +130,9 @@ public: "Testing the total force of all particles on particle 0 " "with only a single particle"); - trap.add_particle( - Particle(vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.})); - trap.add_particle( - Particle(vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.})); - trap.add_particle( - Particle(vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.})); expected = vec_3d().fill(-138935.333); result = trap.total_force_particles(0); diff --git a/src/utils.cpp b/src/utils.cpp index 83e67a8..a7a1507 100644 --- a/src/utils.cpp +++ b/src/utils.cpp @@ -19,7 +19,8 @@ std::string scientific_format(double d, int width, int prec) return ss.str(); } -std::string scientific_format(const std::vector &v, int width, int prec) +std::string scientific_format(const std::vector &v, int width, + int prec) { std::stringstream ss; for (double elem : v) { @@ -32,8 +33,7 @@ static void print_message(std::string msg) { if (msg.size() > 0) { std::cout << "message: " << msg << "\n\n"; - } - else { + } else { std::cout << "\n"; } } @@ -47,8 +47,7 @@ void m_assert(bool expr, std::string expr_str, std::string f, std::string file, if (expr) { std::cout << "\x1B[32mOK\033[0m\n"; print_message(msg); - } - else { + } else { std::cout << "\x1B[31mFAIL\033[0m\n"; print_message(msg); std::cout << file << " " << line << ": Assertion \"" << expr_str @@ -85,11 +84,11 @@ bool mkpath(std::string path, int mode) pos = path.find('/', pos); if (pos != std::string::npos) { cur_dir = path.substr(0, pos); - if (mkdir(cur_dir.c_str(), mode) != 0 && stat(cur_dir.c_str(), &buf) != 0) { + if (mkdir(cur_dir.c_str(), mode) != 0 + && stat(cur_dir.c_str(), &buf) != 0) { return -1; } - } - else { + } else { break; } } -- 2.20.1 From 0dfb102cef2372753c8c57779928b6b3c388cb9f Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:41:03 +0200 Subject: [PATCH 20/32] Update versions and some other things - Update version number for Doxygen - Use vec3 instead of vec_3d --- src/Particle.cpp | 4 +- src/PenningTrap.cpp | 91 ++++++++++++++-------------- src/main.cpp | 19 +++--- src/scripts/animate_100_particles.py | 2 +- src/scripts/plot_particles_left.py | 82 ++++++++++++++++++------- src/test_suite.cpp | 87 +++++++++++++------------- src/utils.cpp | 3 +- 7 files changed, 160 insertions(+), 128 deletions(-) diff --git a/src/Particle.cpp b/src/Particle.cpp index e1f837b..9d55274 100644 --- a/src/Particle.cpp +++ b/src/Particle.cpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief The implementation of the Particle class. * @@ -12,7 +12,7 @@ #include "Particle.hpp" -Particle::Particle(vec_3d r_vec, vec_3d v_vec, double q, double m) +Particle::Particle(vec3 r_vec, vec3 v_vec, double q, double m) { // Giving the particle its properties this->r_vec = r_vec; diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index dbf7991..f045bae 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief The implementation of the PenningTrap class. * @@ -31,8 +31,8 @@ PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t) { for (size_t j = 0; j < i; j++) { this->particles.push_back( - Particle(vec_3d(vec_3d().randn() * .1 * this->d), - vec_3d(vec_3d().randn() * .1 * this->d))); + Particle(vec3(vec3().randn() * .1 * this->d), + vec3(vec3().randn() * .1 * this->d))); } } @@ -46,7 +46,7 @@ PenningTrap::PenningTrap(std::vector particles, double B_0, void PenningTrap::set_pertubation(double f, double omega_V) { this->perturbation = [f, omega_V](double t) { - return f * std::cos(omega_V * t); + return 1 + f * std::cos(omega_V * t); }; } @@ -56,11 +56,11 @@ void PenningTrap::reinitialize(double f, double omega_V, double t) this->set_pertubation(f, omega_V); for (size_t i = 0; i < this->particles.size(); i++) { - this->particles[i].r_vec = vec_3d().randn() * .1 * this->d; + this->particles[i].r_vec = vec3().randn() * .1 * this->d; } } -vec_3d PenningTrap::v_func(uint i, uint j, double dt) +vec3 PenningTrap::v_func(uint i, uint j, double dt) { switch (i) { case 0: @@ -70,16 +70,16 @@ vec_3d PenningTrap::v_func(uint i, uint j, double dt) case 2: return dt * this->k_v[2][j]; case 3: - return vec_3d((dt / 6.) - * (this->k_v[0][j] + 2. * this->k_v[1][j] - + 2. * this->k_v[2][j] + this->k_v[3][j])); + return vec3((dt / 6.) + * (this->k_v[0][j] + 2. * this->k_v[1][j] + + 2. * this->k_v[2][j] + this->k_v[3][j])); default: std::cout << "Not valid!" << std::endl; abort(); } } -vec_3d PenningTrap::r_func(uint i, uint j, double dt) +vec3 PenningTrap::r_func(uint i, uint j, double dt) { switch (i) { case 0: @@ -89,9 +89,9 @@ vec_3d PenningTrap::r_func(uint i, uint j, double dt) case 2: return dt * this->k_r[2][j]; case 3: - return vec_3d((dt / 6.) - * (this->k_r[0][j] + 2. * this->k_r[1][j] - + 2. * this->k_r[2][j] + this->k_r[3][j])); + return vec3((dt / 6.) + * (this->k_r[0][j] + 2. * this->k_r[1][j] + + 2. * this->k_r[2][j] + this->k_r[3][j])); default: std::cout << "Not valid!" << std::endl; abort(); @@ -103,63 +103,61 @@ void PenningTrap::add_particle(Particle particle) this->particles.push_back(particle); } -vec_3d PenningTrap::external_E_field(vec_3d r) +vec3 PenningTrap::external_E_field(vec3 r) { r(2) *= -2.; - return vec_3d( - (this->V_0 * this->perturbation(this->t) / (this->d * this->d)) * r); + return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d)) + * r); } -vec_3d PenningTrap::external_B_field(vec_3d r) +vec3 PenningTrap::external_B_field(vec3 r) { - return vec_3d{0., 0., this->B_0}; + return vec3{0., 0., this->B_0}; } -vec_3d PenningTrap::force_on_particle(uint i, uint j) +vec3 PenningTrap::force_on_particle(uint i, uint j) { // Calculate the difference between the particles' position - vec_3d res = this->particles[i].r_vec - this->particles[j].r_vec; + vec3 res = this->particles[i].r_vec - this->particles[j].r_vec; // Get the distance between the particles double norm = arma::norm(res, 2); - return vec_3d((this->particles[j].q / (norm * norm * norm)) * res); + return vec3((this->particles[j].q / (norm * norm * norm)) * res); } -vec_3d PenningTrap::total_force_external(uint i) +vec3 PenningTrap::total_force_external(uint i) { Particle *p = &this->particles[i]; if (arma::norm(p->r_vec) > this->d) { - return vec_3d{0., 0., 0.}; + return vec3{0., 0., 0.}; } - return vec_3d( - p->q - * (this->external_E_field(p->r_vec) - + arma::cross(p->v_vec, this->external_B_field(p->r_vec)))); + return vec3(p->q + * (this->external_E_field(p->r_vec) + + arma::cross(p->v_vec, this->external_B_field(p->r_vec)))); } -vec_3d PenningTrap::total_force_particles(uint i) +vec3 PenningTrap::total_force_particles(uint i) { - vec_3d res; + vec3 res; for (size_t j = 0; j < this->particles.size(); j++) { if (i != j) res += this->force_on_particle(i, j); } - return vec_3d(res * (K_E * this->particles[i].q)); + return vec3(res * (K_E * this->particles[i].q)); } -vec_3d PenningTrap::total_force(uint i) +vec3 PenningTrap::total_force(uint i) { if (arma::norm(this->particles[i].r_vec) > this->d) { - return vec_3d{0., 0., 0.}; + return vec3{0., 0., 0.}; } - return vec_3d(this->total_force_external(i) - - this->total_force_particles(i)); + return vec3(this->total_force_external(i) - this->total_force_particles(i)); } void PenningTrap::evolve_RK4(double dt, bool particle_interaction) @@ -168,9 +166,9 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) std::vector original_particles = this->particles; std::vector tmp_particles = this->particles; - vec_3d (PenningTrap::*force)(uint) = - particle_interaction ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec3 (PenningTrap::*force)(uint) = particle_interaction + ? &PenningTrap::total_force + : &PenningTrap::total_force_external; size_t size = this->particles.size(); @@ -203,12 +201,11 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) { size_t size = this->particles.size(); - vec_3d force_res[size]; - Particle *p; + vec3 force_res[size]; - vec_3d (PenningTrap::*force)(uint) = - particle_interaction ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec3 (PenningTrap::*force)(uint) = particle_interaction + ? &PenningTrap::total_force + : &PenningTrap::total_force_external; // Calculating the force for each particle is independent and therefore // a good candidate for parallel execution @@ -219,10 +216,10 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) // Updating the particles is also independent, so we can parallelize // this as well -#pragma omp parallel for private(p) +#pragma omp parallel for for (size_t i = 0; i < size; i++) { - p->r_vec += dt * this->particles[i].v_vec; - p->v_vec += dt * force_res[i] / this->particles[i].m; + this->particles[i].r_vec += dt * this->particles[i].v_vec; + this->particles[i].v_vec += dt * force_res[i] / this->particles[i].m; } this->t += dt; @@ -281,14 +278,14 @@ void PenningTrap::write_simulation_to_dir(std::string path, double time, #pragma omp parallel for private(ofile) for (size_t i = 0; i < this->particles.size(); i++) { ofile.open(path + "particle_" + std::to_string(i) + "_r.txt"); - for (vec_3d &vec : res.r_vecs[i]) { + for (vec3 &vec : res.r_vecs[i]) { ofile << scientific_format(vec(0), 10, 8) << ',' << scientific_format(vec(1), 10, 8) << ',' << scientific_format(vec(2), 10, 8) << '\n'; } ofile.close(); ofile.open(path + "particle_" + std::to_string(i) + "_v.txt"); - for (vec_3d &vec : res.v_vecs[i]) { + for (vec3 &vec : res.v_vecs[i]) { ofile << scientific_format(vec(0), 10, 8) << ',' << scientific_format(vec(1), 10, 8) << ',' << scientific_format(vec(2), 10, 8) << '\n'; diff --git a/src/main.cpp b/src/main.cpp index 8c5b300..f6a707c 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief The main program for this project * @@ -25,16 +25,16 @@ #define N 40000 // Particles used for testing -Particle p1(vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.}); ///< Particle 1 -Particle p2(vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.}); ///< Particle 2 +Particle p1(vec3{20., 0., 20.}, vec3{0., 25., 0.}); ///< Particle 1 +Particle p2(vec3{25., 25., 0.}, vec3{0., 40., 5.}); ///< Particle 2 /** @brief The analytical solution for particle p1 * * @param t Time * - * @return vec_3d + * @return vec3 * */ -vec_3d analytical_solution_particle_1(double t) +vec3 analytical_solution_particle_1(double t) { double w_0 = T / CA_MASS; double w_z2 = (50. * V / 1000.) / (CA_MASS * 500. * 500.); @@ -45,8 +45,7 @@ vec_3d analytical_solution_particle_1(double t) std::complex f = A_p * std::exp(std::complex(0., -w_p * t)) + A_n * std::exp(std::complex(0., -w_n * t)); - vec_3d res{std::real(f), std::imag(f), - 20. * std::cos(std::sqrt(w_z2) * t)}; + vec3 res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)}; return res; } @@ -213,8 +212,7 @@ void potential_resonance_narrow_sweep() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations = - (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment); double res[4][freq_iterations]; @@ -270,8 +268,7 @@ void potential_resonance_narrow_sweep_interaction() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations = - (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment); double res[4][freq_iterations]; diff --git a/src/scripts/animate_100_particles.py b/src/scripts/animate_100_particles.py index 0fc0083..076b186 100644 --- a/src/scripts/animate_100_particles.py +++ b/src/scripts/animate_100_particles.py @@ -32,7 +32,7 @@ def animate(): fig = plt.figure() ax = fig.add_subplot(projection="3d") - arr = get_data([f"output/simulate_100_particles/particle_{i}.txt" for i in range(100)]) + arr = get_data([f"output/simulate_100_particles/particle_{i}_r.txt" for i in range(100)]) arr = arr[:, :, ::10] diff --git a/src/scripts/plot_particles_left.py b/src/scripts/plot_particles_left.py index 85bfd78..61185d9 100644 --- a/src/scripts/plot_particles_left.py +++ b/src/scripts/plot_particles_left.py @@ -1,30 +1,68 @@ import matplotlib.pyplot as plt +import seaborn as sns + +sns.set_theme() +params = { + "font.family": "Serif", + "font.serif": "Roman", + "text.usetex": True, + "axes.titlesize": "large", + "axes.labelsize": "large", + "xtick.labelsize": "large", + "ytick.labelsize": "large", + "legend.fontsize": "medium" +} +plt.rcParams.update(params) def main(): - with open("output/time_dependent_potential/res.txt") as f: - lines = f.readlines() - x = [] - y1 = [] - y2 = [] - y3 = [] - for line in lines: - l = line.strip().split(",") - x.append(float(l[0])) - y1.append(float(l[1])) - y2.append(float(l[2])) - y3.append(float(l[3])) + colors = [ + "lightskyblue", + "deepskyblue", + "salmon", + "tomato", + "mediumaquamarine", + "mediumseagreen" + ] + files = [ + "output/time_dependent_potential/wide_sweep.txt", + "output/time_dependent_potential/narrow_sweep.txt", + "output/time_dependent_potential/narrow_sweep_interactions.txt", + ] + outputs = [ + "../latex/images/wide_sweep.pdf", + "../latex/images/narrow_sweep.pdf", + "../latex/images/narrow_sweep_interactions.pdf", + ] + for file, output in zip(files, outputs): + with open(file) as f: + lines = f.readlines() + x = [] + y1 = [] + y2 = [] + y3 = [] + for line in lines: + l = line.strip().split(",") + x.append(float(l[0])) + y1.append(float(l[1])) + y2.append(float(l[2])) + y3.append(float(l[3])) - plt.plot(x,y1,label=f"amplitude: 0.1") - plt.plot(x,y2,label=f"amplitude: 0.4") - plt.plot(x,y3,label=f"amplitude: 0.7") + fig, ax = plt.subplots() + ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0]) + ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2]) + ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4]) - plt.xlabel(r"$\omega_V$ (MHz)") - plt.ylabel(r"Fraction of particles left") - plt.title(r"The fraction of particles left in the Penning trap " - "after 500 microseconds for different amplitudes and frequencies") - plt.legend() - # plt.show() - plt.savefig("../latex/images/particles_left.pdf") + ax.set_xlabel(r"Frequency $\omega_V$ (MHz)") + # ax.set_xlim((0, 2.8)) + ax.set_ylabel(r"Fraction of particles left") + # ax.set_ylim((-0.1, 1.1)) + # plt.title(r"The fraction of particles left in the Penning trap " + # "after 500 microseconds for different amplitudes and frequencies") + + ax.legend(loc="upper right") + + # plt.show() + fig.savefig(output, bbox_inches="tight") if __name__ == "__main__": main() diff --git a/src/test_suite.cpp b/src/test_suite.cpp index 3828541..7a1e2ad 100644 --- a/src/test_suite.cpp +++ b/src/test_suite.cpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief The test suite for the project * @@ -25,30 +25,29 @@ class PenningTrapTest public: /** @brief Test that the external E field gives correct values. * */ - static void test_external_E_field() + void test_external_E_field() { PenningTrap trap; // Vector containing inputs and expected results - std::vector> tests; + std::vector> tests; + + tests.push_back(std::make_pair(vec3{0., 0., 0.}, vec3{0., 0., 0.})); tests.push_back( - std::make_pair(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); + std::make_pair(vec3{10., 0., 0.}, vec3{96.4852558, 0., 0.})); tests.push_back( - std::make_pair(vec_3d{10., 0., 0.}, vec_3d{96.4852558, 0., 0.})); + std::make_pair(vec3{10., 0., 0.}, vec3{96.4852558, 0., 0.})); tests.push_back( - std::make_pair(vec_3d{10., 0., 0.}, vec_3d{96.4852558, 0., 0.})); + std::make_pair(vec3{0., 10., 0.}, vec3{0., 96.4852558, 0.})); tests.push_back( - std::make_pair(vec_3d{0., 10., 0.}, vec_3d{0., 96.4852558, 0.})); + std::make_pair(vec3{0., 0., 10.}, vec3{0., 0., -192.9705116})); - tests.push_back( - std::make_pair(vec_3d{0., 0., 10.}, vec_3d{0., 0., -192.9705116})); - - vec_3d result; - vec_3d v; + vec3 result; + vec3 v; std::stringstream msg; for (size_t i = 0; i < tests.size(); i++) { v = tests.at(i).first; @@ -64,38 +63,39 @@ public: /** @brief Test that the external B field gives correct values. * */ - static void test_external_B_field() + void test_external_B_field() { // No point in testing at different points since it's not dependent // on position. PenningTrap trap; - vec_3d expected{0., 0., T}; - vec_3d result = trap.external_B_field(vec_3d{0., 0., 0.}); + vec3 expected{0., 0., T}; + vec3 result = trap.external_B_field(vec3{0., 0., 0.}); ASSERT(close_to(expected, result), "Testing the external B field at (0,0,0)"); } - /** @brief Test that the force between particles gives expected results. + /** @brief Test that the force between particles gives expected + * results. * */ - static void test_force_on_particle() + void test_force_on_particle() { PenningTrap trap; - vec_3d v{0., 0., 0.}; + vec3 v{0., 0., 0.}; // Add particles to test - trap.add_particle(Particle(vec_3d{0., 0., 0.}, v)); - trap.add_particle(Particle(vec_3d{1., 0., 0.}, v)); - trap.add_particle(Particle(vec_3d{0., 3., 4.}, v)); + trap.add_particle(Particle(vec3{0., 0., 0.}, v)); + trap.add_particle(Particle(vec3{1., 0., 0.}, v)); + trap.add_particle(Particle(vec3{0., 3., 4.}, v)); // Test p0 and p1 - vec_3d expected{-1., 0., 0.}; - vec_3d result = trap.force_on_particle(0, 1); + vec3 expected{-1., 0., 0.}; + vec3 result = trap.force_on_particle(0, 1); ASSERT(close_to(expected, result), "Testing the force on a particle at (0,0,0) from a " "particle at (1,0,0)."); // Test p0 and p2 - expected = vec_3d{0, -.024, -.032}; + expected = vec3{0, -.024, -.032}; result = trap.force_on_particle(0, 2); ASSERT(close_to(expected, result), "Testing the force on a particle at (0,0,0) from a " @@ -104,37 +104,37 @@ public: /** @brief Test that the total external force returns expected results * */ - static void test_total_force_external() + void test_total_force_external() { PenningTrap trap; - trap.add_particle(Particle(vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.})); + trap.add_particle(Particle(vec3{1., 2., 3.}, vec3{3., 4., 5.})); - vec_3d expected{395.58954878, -270.15871624, -57.89115348}; - vec_3d result = trap.total_force_external(0); + vec3 expected{395.58954878, -270.15871624, -57.89115348}; + vec3 result = trap.total_force_external(0); ASSERT(close_to(expected, result), "Testing the total external force on a particle at " "(1,2,3) with velocity (3,4,5)"); } - /** @brief Test that the total force of all particles on a single particle - * returns expected results. + /** @brief Test that the total force of all particles on a single + * particle returns expected results. * */ - static void test_total_force_particles() + void test_total_force_particles() { PenningTrap trap; - trap.add_particle(Particle(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec3{0., 0., 0.}, vec3{0., 0., 0.})); - vec_3d expected{0., 0., 0.}; - vec_3d result = trap.total_force_particles(0); + vec3 expected{0., 0., 0.}; + vec3 result = trap.total_force_particles(0); ASSERT(close_to(expected, result), "Testing the total force of all particles on particle 0 " "with only a single particle"); - trap.add_particle(Particle(vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.})); - trap.add_particle(Particle(vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.})); - trap.add_particle(Particle(vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.})); + trap.add_particle(Particle(vec3{1., 0., 0.}, vec3{0., 0., 0.})); + trap.add_particle(Particle(vec3{0., 1., 0.}, vec3{0., 0., 0.})); + trap.add_particle(Particle(vec3{0., 0., 1.}, vec3{0., 0., 0.})); - expected = vec_3d().fill(-138935.333); + expected = vec3().fill(-138935.333); result = trap.total_force_particles(0); ASSERT(close_to(expected, result), "Testing the total force of all particles on particle 0 " @@ -144,10 +144,11 @@ public: int main() { - PenningTrapTest::test_external_E_field(); - PenningTrapTest::test_external_B_field(); - PenningTrapTest::test_force_on_particle(); - PenningTrapTest::test_total_force_external(); - PenningTrapTest::test_total_force_particles(); + PenningTrapTest test; + test.test_external_E_field(); + test.test_external_B_field(); + test.test_force_on_particle(); + test.test_total_force_external(); + test.test_total_force_particles(); return 0; } diff --git a/src/utils.cpp b/src/utils.cpp index a7a1507..ca2d50d 100644 --- a/src/utils.cpp +++ b/src/utils.cpp @@ -19,8 +19,7 @@ std::string scientific_format(double d, int width, int prec) return ss.str(); } -std::string scientific_format(const std::vector &v, int width, - int prec) +std::string scientific_format(const std::vector &v, int width, int prec) { std::stringstream ss; for (double elem : v) { -- 2.20.1 From 1ae665e7e725c14389647491d927d9111f052cee Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:42:12 +0200 Subject: [PATCH 21/32] Update versions and some other things - Update version numbers for Doxygen - Use vec3 instead of vec_3d --- include/Particle.hpp | 13 ++-- include/PenningTrap.hpp | 168 ++++++++++++++++++++-------------------- include/constants.hpp | 2 +- include/typedefs.hpp | 12 +-- include/utils.hpp | 4 +- 5 files changed, 98 insertions(+), 101 deletions(-) diff --git a/include/Particle.hpp b/include/Particle.hpp index 682859c..3f5d182 100644 --- a/include/Particle.hpp +++ b/include/Particle.hpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief A class that holds the properties of a particle. * @@ -22,10 +22,10 @@ class Particle { private: - vec_3d r_vec; ///< position - vec_3d v_vec; ///< velocity - double q; ///< Charge - double m; ///< Mass + vec3 r_vec; ///< position + vec3 v_vec; ///< velocity + double q; ///< Charge + double m; ///< Mass public: /** @brief Initialize the particle. @@ -38,8 +38,7 @@ public: * @param r_vec The initial position of the particle * @param v_vec The initial velocity of the particle * */ - Particle(vec_3d r_vec, vec_3d v_vec, double q = CA_CHARGE, - double m = CA_MASS); + Particle(vec3 r_vec, vec3 v_vec, double q = CA_CHARGE, double m = CA_MASS); /** @brief Make private attributes available for PenningTrap. * */ diff --git a/include/PenningTrap.hpp b/include/PenningTrap.hpp index 425afeb..0581e50 100644 --- a/include/PenningTrap.hpp +++ b/include/PenningTrap.hpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief A class for simulating a Penning trap. * @@ -20,7 +20,7 @@ #include "typedefs.hpp" #include "utils.hpp" -#pragma omp declare reduction(+ : vec_3d : omp_out += omp_in) \ +#pragma omp declare reduction(+ : vec3 : omp_out += omp_in) \ initializer(omp_priv = omp_orig) /** @brief A class that simulates a Penning trap. @@ -28,14 +28,15 @@ * This class simulates a Penning trap. It can take in a number of particles * and simulate how they would behave inside a Penning trap. * */ -class PenningTrap { +class PenningTrap +{ private: - double B_0; ///< Magnetic field strength - double V_0; ///< Applied potential + double B_0; ///< Magnetic field strength + double V_0; ///< Applied potential std::function perturbation; ///< Time-dependent perturbation - double d; ///< Characteristic dimension - double t; ///< Current time - std::vector particles; ///< The particles in the Penning trap + double d; ///< Characteristic dimension + double t; ///< Current time + std::vector particles; ///< The particles in the Penning trap sim_arr k_v; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is ///< the index of a particle sim_arr k_r; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is @@ -49,9 +50,9 @@ private: * @param j Index j for \f$k_{v,i,j}\f$ * @param dt the step length (delta time) * - * @return vec_3d + * @return vec3 * */ - vec_3d v_func(uint i, uint j, double dt); + vec3 v_func(uint i, uint j, double dt); /** @brief Helper for evolve_RK4 when calculating \f$k_{r,i,j}\f$ values * @@ -61,82 +62,25 @@ private: * @param j Index j for \f$k_{r,i,j}\f$ * @param dt The step length (delta time) * - * @return vec_3d + * @return vec3 * */ - vec_3d r_func(uint i, uint j, double dt); - -public: - /** @brief Constructor for the PenningTrap class - * - * @param B_0 The magnetic field strength - * @param V_0 The time dependent applied potential - * @param d The characteristic dimension - * @param t The starting time - * */ - PenningTrap( - double B_0 = T, - double V_0 = (25. * V) / 1000., - double d = 500., double t = 0.); - - /** @brief Constructor for the PenningTrap class - * - * @param i The number of particles to generate - * @param B_0 The magnetic field strength - * @param V_0 The time dependent applied potential - * @param d The characteristic dimension - * @param t The starting time - * */ - PenningTrap( - uint i, double B_0 = T, - double V_0 = (25. * V) / 1000., - double d = 500., double t = 0.); - - /** @brief Constructor for the PenningTrap class - * - * @param particles The starting particles - * @param B_0 The magnetic field strength - * @param V_0 The time dependent applied potential - * @param d The characteristic dimension - * @param t The starting time - * */ - PenningTrap( - std::vector particles, double B_0 = T, - double V_0 = (25. * V) / 1000., - double d = 500., double t = 0.); - - void set_pertubation(double f, double omega_V); - - /** @brief Give all particles new positions and velocities, and change t - * and V_0. - * - * @param V_0 The tiome dependent applied potential - * @param t The starting time - * */ - void reinitialize( - double f, double omega_V, - double t = 0.); - - /** @brief Add a particle to the system - * - * @param particle The particle to add to the Penning trap - * */ - void add_particle(Particle particle); + vec3 r_func(uint i, uint j, double dt); /** @brief Calculate E at point r * * @param r The position where we want to calculate the E field * - * @return vec_3d + * @return vec3 * */ - vec_3d external_E_field(vec_3d r); + vec3 external_E_field(vec3 r); /** @brief Calculate B at point r * * @param r The position where we want to calculate the B field * - * @return vec_3d + * @return vec3 * */ - vec_3d external_B_field(vec_3d r); + vec3 external_B_field(vec3 r); /** @brief Calculate the force between 2 particles. * @@ -146,9 +90,9 @@ public: * @param i The index of particle p_i * @param j The index of particle p_j * - * @return vec_3d + * @return vec3 * */ - vec_3d force_on_particle(uint i, uint j); + vec3 force_on_particle(uint i, uint j); /** @brief Calculate the total external force on a particle. * @@ -157,26 +101,80 @@ public: * * @param i The index of particle p_i * - * @return vec_3d + * @return vec3 * */ - vec_3d total_force_external(uint i); + vec3 total_force_external(uint i); /** @brief Calculate the total force on a particle p_i from other * particles. * * @param i The index of particle p_i * - * @return vec_3d + * @return vec3 * */ - vec_3d total_force_particles(uint i); + vec3 total_force_particles(uint i); /** @brief calculate the total force on a particle p_i. * * @param i The index of particle p_i * - * @return vec_3d + * @return vec3 * */ - vec_3d total_force(uint i); + vec3 total_force(uint i); + +public: + /** @brief Constructor for the PenningTrap class + * + * @param B_0 The magnetic field strength + * @param V_0 The time dependent applied potential + * @param d The characteristic dimension + * @param t The starting time + * */ + PenningTrap(double B_0 = T, double V_0 = (25. * V) / 1000., double d = 500., + double t = 0.); + + /** @brief Constructor for the PenningTrap class + * + * @param i The number of particles to generate + * @param B_0 The magnetic field strength + * @param V_0 The time dependent applied potential + * @param d The characteristic dimension + * @param t The starting time + * */ + PenningTrap(uint i, double B_0 = T, double V_0 = (25. * V) / 1000., + double d = 500., double t = 0.); + + /** @brief Constructor for the PenningTrap class + * + * @param particles The starting particles + * @param B_0 The magnetic field strength + * @param V_0 The time dependent applied potential + * @param d The characteristic dimension + * @param t The starting time + * */ + PenningTrap(std::vector particles, double B_0 = T, + double V_0 = (25. * V) / 1000., double d = 500., double t = 0.); + + /** @brief Time dependent perturbation to V_0 + * + * @param f The amplitude of the perturbation + * @parma omega_V the angular frequency of the perturbation + * */ + void set_pertubation(double f, double omega_V); + + /** @brief Give all particles new positions and velocities, and change t + * and V_0. + * + * @param V_0 The tiome dependent applied potential + * @param t The starting time + * */ + void reinitialize(double f, double omega_V, double t = 0.); + + /** @brief Add a particle to the system + * + * @param particle The particle to add to the Penning trap + * */ + void add_particle(Particle particle); /** @brief Go forward one timestep using the RK4 method * @@ -202,8 +200,7 @@ public: * * @return simulation_t * */ - simulation_t simulate(double time, uint steps, - std::string method = "rk4", + simulation_t simulate(double time, uint steps, std::string method = "rk4", bool particle_interaction = true); /** @brief Simulate and write the displacement of all particles to files. @@ -214,8 +211,7 @@ public: * @param method The method to use when moving forward a timestep * @param particle_interaction Turn particle interactions on/off * */ - void write_simulation_to_dir(std::string path, double time, - uint steps, + void write_simulation_to_dir(std::string path, double time, uint steps, std::string method = "rk4", bool particle_interaction = true); @@ -232,6 +228,8 @@ public: double fraction_of_particles_left(double time, uint steps, std::string method = "rk4", bool particle_interaction = true); + + friend class PenningTrapTest; }; #endif diff --git a/include/constants.hpp b/include/constants.hpp index 0546a4f..85fc7d2 100644 --- a/include/constants.hpp +++ b/include/constants.hpp @@ -3,7 +3,7 @@ * @author Cory Alexander Balaton (coryab) * @author Janita Ovidie Sandtrøen Willumsen (janitaws) * - * @version 0.1 + * @version 1.0 * * @brief Library of constants * diff --git a/include/typedefs.hpp b/include/typedefs.hpp index 64234e8..688e942 100644 --- a/include/typedefs.hpp +++ b/include/typedefs.hpp @@ -18,23 +18,23 @@ #include #include +/** @brief Typedef for a fixed 3d arma vector. + * */ +typedef arma::vec::fixed<3> vec3; + /** @brief Typedef for the column of the result vector from simulating * particles. * */ -typedef std::vector> sim_cols; +typedef std::vector sim_cols; /** @brief Typedef for the row of the result vector from simulating particles. * */ -typedef std::vector> sim_rows; +typedef std::vector sim_rows; /** @brief Typedef for the result of the simulate method. * */ typedef std::vector sim_arr; -/** @brief Typedef for a fixed 3d arma vector. - * */ -typedef arma::vec::fixed<3> vec_3d; - /** @brief Typedef for PenningTrap::simulation return value. * */ typedef struct simulation { diff --git a/include/utils.hpp b/include/utils.hpp index e2e28c2..8816e8f 100644 --- a/include/utils.hpp +++ b/include/utils.hpp @@ -31,7 +31,7 @@ * messages by adding the -DDBG flag when compiling. * */ #ifdef DBG -#define DEBUG(msg) \ +#define DEBUG(msg) \ std::cout << __FILE__ << " " << __LINE__ << ": " << msg << std::endl #else #define DEBUG(msg) @@ -43,7 +43,7 @@ * This macro calls the m_assert function which is a more informative * assertion function than the regular assert function from cassert. * */ -#define ASSERT(expr, msg) \ +#define ASSERT(expr, msg) \ m_assert(expr, #expr, __METHOD_NAME__, __FILE__, __LINE__, msg) /** @def __METHOD_NAME__ -- 2.20.1 From d2824d7c1dd82a06093bc3a776f10f294673f62b Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:43:32 +0200 Subject: [PATCH 22/32] Update docs --- docs/Particle_8cpp.html | 2 +- docs/Particle_8cpp_source.html | 26 +- docs/Particle_8hpp.html | 3 +- docs/Particle_8hpp_source.html | 51 +- docs/PenningTrap_8cpp.html | 7 +- docs/PenningTrap_8cpp_source.html | 662 ++++++++++--------- docs/PenningTrap_8hpp.html | 2 +- docs/PenningTrap_8hpp_source.html | 191 +++--- docs/animate__100__particles_8py_source.html | 2 +- docs/annotated_dup.js | 2 +- docs/classParticle-members.html | 6 +- docs/classParticle.html | 72 +- docs/classParticle.js | 6 +- docs/classPenningTrap-members.html | 36 +- docs/classPenningTrap.html | 514 +++++++++----- docs/classPenningTrap.js | 33 +- docs/classPenningTrapTest-members.html | 10 +- docs/classPenningTrapTest.html | 88 +-- docs/classPenningTrapTest.js | 8 + docs/constants_8hpp.html | 62 +- docs/constants_8hpp.js | 2 + docs/constants_8hpp_source.html | 16 +- docs/functions.html | 45 +- docs/functions_func.html | 38 +- docs/functions_vars.html | 7 +- docs/globals.html | 58 +- docs/globals_defs.html | 2 + docs/globals_func.html | 6 +- docs/globals_type.html | 6 +- docs/globals_vars.html | 4 +- docs/main_8cpp.html | 185 +++--- docs/main_8cpp.js | 10 +- docs/main_8cpp_source.html | 490 +++++++++----- docs/menudata.js | 12 +- docs/navtreeindex0.js | 88 +-- docs/plot__particles__left_8py_source.html | 94 ++- docs/search/all_1.js | 2 +- docs/search/all_10.js | 2 +- docs/search/all_3.js | 6 +- docs/search/all_5.js | 4 +- docs/search/all_6.js | 4 +- docs/search/all_9.js | 14 +- docs/search/all_b.js | 5 +- docs/search/all_c.js | 12 +- docs/search/all_d.js | 16 +- docs/search/all_f.js | 8 +- docs/search/defines_2.js | 3 +- docs/search/defines_3.js | 2 +- docs/search/defines_4.js | 2 +- docs/search/defines_5.js | 2 +- docs/search/defines_6.js | 4 + docs/search/functions_0.js | 2 +- docs/search/functions_2.js | 4 +- docs/search/functions_3.js | 4 +- docs/search/functions_5.js | 7 +- docs/search/functions_6.js | 3 +- docs/search/functions_7.js | 6 +- docs/search/functions_8.js | 16 +- docs/search/functions_9.js | 2 +- docs/search/functions_a.js | 2 +- docs/search/searchdata.js | 2 +- docs/search/typedefs_0.js | 4 +- docs/search/typedefs_1.js | 2 +- docs/search/variables_4.js | 7 +- docs/search/variables_6.js | 2 +- docs/search/variables_8.js | 4 +- docs/test__suite_8cpp.html | 5 +- docs/test__suite_8cpp.js | 2 +- docs/test__suite_8cpp_source.html | 274 ++++---- docs/typedefs_8hpp.html | 48 +- docs/typedefs_8hpp.js | 6 +- docs/typedefs_8hpp_source.html | 18 +- docs/utils_8cpp.html | 6 +- docs/utils_8cpp_source.html | 130 ++-- docs/utils_8hpp.html | 16 +- docs/utils_8hpp_source.html | 71 +- 76 files changed, 2046 insertions(+), 1529 deletions(-) create mode 100644 docs/classPenningTrapTest.js create mode 100644 docs/search/defines_6.js diff --git a/docs/Particle_8cpp.html b/docs/Particle_8cpp.html index b3fd0e9..e5f553c 100644 --- a/docs/Particle_8cpp.html +++ b/docs/Particle_8cpp.html @@ -112,7 +112,7 @@ $(document).ready(function(){initNavTree('Particle_8cpp.html',''); initResizable
Author
Cory Alexander Balaton (coryab)
Janita Ovidie Sandtrøen Willumsen (janitaws)
-
Version
0.1
+
Version
1.0

Definition in file Particle.cpp.

diff --git a/docs/Particle_8cpp_source.html b/docs/Particle_8cpp_source.html index cac8cb5..c9574ba 100644 --- a/docs/Particle_8cpp_source.html +++ b/docs/Particle_8cpp_source.html @@ -104,23 +104,21 @@ $(document).ready(function(){initNavTree('Particle_8cpp_source.html',''); initRe Go to the documentation of this file.
1
13#include "Particle.hpp"
14
-
15Particle::Particle(double q, double m,
-
16 vec_3d r_vec,
-
17 vec_3d v_vec)
-
18{
-
19 // Giving the particle its properties
+
15Particle::Particle(vec3 r_vec, vec3 v_vec, double q, double m)
+
16{
+
17 // Giving the particle its properties
+
18 this->r_vec = r_vec;
+
19 this->v_vec = v_vec;
20 this->q = q;
21 this->m = m;
-
22 this->r_vec = r_vec;
-
23 this->v_vec = v_vec;
-
24}
+
22}
A class that holds the properties of a particle.
-
double q
Charge.
Definition: Particle.hpp:23
-
Particle(double q, double m, vec_3d r_vec, vec_3d v_vec)
Initialize the particle.
Definition: Particle.cpp:15
-
vec_3d v_vec
velocity
Definition: Particle.hpp:26
-
double m
Mass.
Definition: Particle.hpp:24
-
vec_3d r_vec
position
Definition: Particle.hpp:25
-
arma::vec::fixed< 3 > vec_3d
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:36
+
vec3 r_vec
position
Definition: Particle.hpp:25
+
vec3 v_vec
velocity
Definition: Particle.hpp:26
+
double q
Charge.
Definition: Particle.hpp:27
+
double m
Mass.
Definition: Particle.hpp:28
+
Particle(vec3 r_vec, vec3 v_vec, double q=CA_CHARGE, double m=CA_MASS)
Initialize the particle.
Definition: Particle.cpp:15
+
arma::vec::fixed< 3 > vec3
Typedef for a fixed 3d arma vector.
Definition: typedefs.hpp:23
diff --git a/docs/Particle_8hpp.html b/docs/Particle_8hpp.html index 00fc0e2..050ccb9 100644 --- a/docs/Particle_8hpp.html +++ b/docs/Particle_8hpp.html @@ -107,6 +107,7 @@ $(document).ready(function(){initNavTree('Particle_8hpp.html',''); initResizable

A class that holds the properties of a particle. More...

#include <armadillo>
+#include "constants.hpp"
#include "typedefs.hpp"

Go to the source code of this file.

@@ -122,7 +123,7 @@ Classes
Bug:
No known bugs

-

Definition at line 15 of file PenningTrap.cpp.

+

Definition at line 20 of file PenningTrap.cpp.

- -

◆ PenningTrap() [2/3]

+ +

◆ PenningTrap() [2/3]

@@ -263,7 +274,7 @@ Private Attributes PenningTrap::PenningTrap ( - unsigned int  + uint  i, @@ -275,8 +286,8 @@ Private Attributes - std::function< double(double)>  - V_0 = [](double t) { return 25. * V / 1000.; }, + double  + V_0 = (25. * V) / 1000., @@ -310,12 +321,12 @@ Private Attributes -

Definition at line 24 of file PenningTrap.cpp.

+

Definition at line 29 of file PenningTrap.cpp.

- -

◆ PenningTrap() [3/3]

+ +

◆ PenningTrap() [3/3]

@@ -335,8 +346,8 @@ Private Attributes - std::function< double(double)>  - V_0 = [](double t) { return 25. * V / 1000.; }, + double  + V_0 = (25. * V) / 1000., @@ -370,7 +381,7 @@ Private Attributes -

Definition at line 36 of file PenningTrap.cpp.

+

Definition at line 39 of file PenningTrap.cpp.

@@ -399,7 +410,7 @@ Private Attributes -

Definition at line 79 of file PenningTrap.cpp.

+

Definition at line 101 of file PenningTrap.cpp.

@@ -438,7 +449,7 @@ Private Attributes -

Definition at line 183 of file PenningTrap.cpp.

+

Definition at line 201 of file PenningTrap.cpp.

@@ -477,24 +488,32 @@ Private Attributes -

Definition at line 148 of file PenningTrap.cpp.

+

Definition at line 163 of file PenningTrap.cpp.

- -

◆ external_B_field()

+ +

◆ external_B_field()

+ + + + + +
- + - +
vec_3d PenningTrap::external_B_field vec3 PenningTrap::external_B_field (vec_3d vec3  r)
+
+private

Calculate B at point r.

@@ -504,26 +523,34 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 92 of file PenningTrap.cpp.

+

Definition at line 114 of file PenningTrap.cpp.

- -

◆ external_E_field()

+ +

◆ external_E_field()

+ + + + + +
- + - +
vec_3d PenningTrap::external_E_field vec3 PenningTrap::external_E_field (vec_3d vec3  r)
+
+private

Calculate E at point r.

@@ -533,28 +560,31 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 84 of file PenningTrap.cpp.

+

Definition at line 106 of file PenningTrap.cpp.

- -

◆ force_on_particle()

+ +

◆ force_on_particle()

+ + + + + +
- + - + - + @@ -563,6 +593,11 @@ Private Attributes
vec_3d PenningTrap::force_on_particle vec3 PenningTrap::force_on_particle (unsigned int uint  i,
unsigned int uint  j 
+
+private

Calculate the force between 2 particles.

@@ -574,14 +609,14 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 97 of file PenningTrap.cpp.

+

Definition at line 119 of file PenningTrap.cpp.

- -

◆ fraction_of_particles_left()

+ +

◆ fraction_of_particles_left()

@@ -595,7 +630,7 @@ Private Attributes - unsigned int  + uint  steps, @@ -630,51 +665,12 @@ Private Attributes
Returns
double
-

Definition at line 281 of file PenningTrap.cpp.

+

Definition at line 297 of file PenningTrap.cpp.

- -

◆ get_r()

- -
-
- - - - - - - - -
vec_3d PenningTrap::get_r (int i)
-
- -

Definition at line 299 of file PenningTrap.cpp.

- -
-
- -

◆ get_t()

- -
-
- - - - - - - -
double PenningTrap::get_t ()
-
- -

Definition at line 304 of file PenningTrap.cpp.

- -
-
- -

◆ r_func()

+ +

◆ r_func()

@@ -683,15 +679,15 @@ Private Attributes - + - + - + @@ -723,14 +719,97 @@ Private Attributes
vec_3d PenningTrap::r_func vec3 PenningTrap::r_func (unsigned int uint  i,
unsigned int uint  j,
-
Returns
vec_3d
+
Returns
vec3
-

Definition at line 61 of file PenningTrap.cpp.

+

Definition at line 82 of file PenningTrap.cpp.

- -

◆ simulate()

+ +

◆ reinitialize()

+ +
+
+ + + + + + + + + + + + + + + + + + + + + + + + +
void PenningTrap::reinitialize (double f,
double omega_V,
double t = 0. 
)
+
+ +

Give all particles new positions and velocities, and change t and V_0.

+
Parameters
+ + + +
V_0The tiome dependent applied potential
tThe starting time
+
+
+ +

Definition at line 53 of file PenningTrap.cpp.

+ +
+
+ +

◆ set_pertubation()

+ +
+
+ + + + + + + + + + + + + + + + + + +
void PenningTrap::set_pertubation (double f,
double omega_V 
)
+
+ +

Time dependent perturbation to V_0.

+
Parameters
+ + +
fThe amplitude of the perturbation @parma omega_V the angular frequency of the perturbation
+
+
+ +

Definition at line 46 of file PenningTrap.cpp.

+ +
+
+ +

◆ simulate()

@@ -744,7 +823,7 @@ Private Attributes - unsigned int  + uint  steps, @@ -779,24 +858,32 @@ Private Attributes
Returns
simulation_t
-

Definition at line 212 of file PenningTrap.cpp.

+

Definition at line 228 of file PenningTrap.cpp.

- -

◆ total_force()

+ +

◆ total_force()

+ + + + + +
- + - +
vec_3d PenningTrap::total_force vec3 PenningTrap::total_force (unsigned int uint  i)
+
+private

calculate the total force on a particle p_i.

@@ -806,26 +893,34 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 140 of file PenningTrap.cpp.

+

Definition at line 155 of file PenningTrap.cpp.

- -

◆ total_force_external()

+ +

◆ total_force_external()

+ + + + + +
- + - +
vec_3d PenningTrap::total_force_external vec3 PenningTrap::total_force_external (unsigned int uint  i)
+
+private

Calculate the total external force on a particle.

@@ -836,26 +931,34 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 108 of file PenningTrap.cpp.

+

Definition at line 130 of file PenningTrap.cpp.

- -

◆ total_force_particles()

+ +

◆ total_force_particles()

+ + + + + +
- + - +
vec_3d PenningTrap::total_force_particles vec3 PenningTrap::total_force_particles (unsigned int uint  i)
+
+private

Calculate the total force on a particle p_i from other particles.

@@ -865,14 +968,14 @@ Private Attributes -
Returns
vec_3d
+
Returns
vec3
-

Definition at line 123 of file PenningTrap.cpp.

+

Definition at line 143 of file PenningTrap.cpp.

- -

◆ v_func()

+ +

◆ v_func()

@@ -881,15 +984,15 @@ Private Attributes - + - + - + @@ -921,14 +1024,14 @@ Private Attributes
vec_3d PenningTrap::v_func vec3 PenningTrap::v_func (unsigned int uint  i,
unsigned int uint  j,
-
Returns
vec_3d
+
Returns
vec3
-

Definition at line 43 of file PenningTrap.cpp.

+

Definition at line 63 of file PenningTrap.cpp.

- -

◆ write_simulation_to_dir()

+ +

◆ write_simulation_to_dir()

@@ -948,7 +1051,7 @@ Private Attributes - unsigned int  + uint  steps, @@ -983,7 +1086,32 @@ Private Attributes -

Definition at line 246 of file PenningTrap.cpp.

+

Definition at line 259 of file PenningTrap.cpp.

+ +
+
+

Friends And Related Function Documentation

+ +

◆ PenningTrapTest

+ +
+
+ + + + + +
+ + + + +
friend class PenningTrapTest
+
+friend
+
+ +

Definition at line 232 of file PenningTrap.hpp.

@@ -1010,7 +1138,7 @@ Private Attributes

Magnetic field strength.

-

Definition at line 33 of file PenningTrap.hpp.

+

Definition at line 34 of file PenningTrap.hpp.

@@ -1036,7 +1164,7 @@ Private Attributes

Characteristic dimension.

-

Definition at line 35 of file PenningTrap.hpp.

+

Definition at line 37 of file PenningTrap.hpp.

@@ -1061,7 +1189,7 @@ Private Attributes

A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle

-

Definition at line 40 of file PenningTrap.hpp.

+

Definition at line 42 of file PenningTrap.hpp.

@@ -1086,7 +1214,7 @@ Private Attributes

A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle

-

Definition at line 38 of file PenningTrap.hpp.

+

Definition at line 40 of file PenningTrap.hpp.

@@ -1112,7 +1240,33 @@ Private Attributes

The particles in the Penning trap.

-

Definition at line 37 of file PenningTrap.hpp.

+

Definition at line 39 of file PenningTrap.hpp.

+ + + + +

◆ perturbation

+ +
+
+ + + + + +
+ + + + +
std::function<double(double)> PenningTrap::perturbation
+
+private
+
+ +

Time-dependent perturbation.

+ +

Definition at line 36 of file PenningTrap.hpp.

@@ -1138,12 +1292,12 @@ Private Attributes

Current time.

-

Definition at line 36 of file PenningTrap.hpp.

+

Definition at line 38 of file PenningTrap.hpp.

- -

◆ V_0

+ +

◆ V_0

@@ -1152,7 +1306,7 @@ Private Attributes - +
std::function<double(double)> PenningTrap::V_0double PenningTrap::V_0
@@ -1164,7 +1318,7 @@ Private Attributes

Applied potential.

-

Definition at line 34 of file PenningTrap.hpp.

+

Definition at line 35 of file PenningTrap.hpp.

diff --git a/docs/classPenningTrap.js b/docs/classPenningTrap.js index c3edebd..987c84c 100644 --- a/docs/classPenningTrap.js +++ b/docs/classPenningTrap.js @@ -1,27 +1,30 @@ var classPenningTrap = [ - [ "PenningTrap", "classPenningTrap.html#ae670d7de621acdb343b01af098086f63", null ], - [ "PenningTrap", "classPenningTrap.html#a763700316b502d5900e587c1f61e6bf1", null ], - [ "PenningTrap", "classPenningTrap.html#a67139e04ef69c0bcffde8f30f67cbf73", null ], + [ "PenningTrap", "classPenningTrap.html#a5b6c6d4636f3a6e279ccde59d4a345e8", null ], + [ "PenningTrap", "classPenningTrap.html#a830be1b8cbf59664e060b6edbeaa302f", null ], + [ "PenningTrap", "classPenningTrap.html#addc96789dcfec07b75156e19fee82f4f", null ], [ "add_particle", "classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8", null ], [ "evolve_forward_euler", "classPenningTrap.html#ab9ea97a406534bbe621a95215144875e", null ], [ "evolve_RK4", "classPenningTrap.html#a36946152fd951b1f7c346c51ff900d8e", null ], - [ "external_B_field", "classPenningTrap.html#acbf065c9c125682329ad82a8d166554c", null ], - [ "external_E_field", "classPenningTrap.html#a1d58feaa2c9e34cbf26b1c5ed75ca9d9", null ], - [ "force_on_particle", "classPenningTrap.html#a9ae34ad740a230e667e96bc6ee8730ce", null ], - [ "fraction_of_particles_left", "classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b", null ], - [ "r_func", "classPenningTrap.html#a43e74792ab4b3f9299f35cb64bdb2648", null ], - [ "simulate", "classPenningTrap.html#ae09ef9cfa7e4ed1c108c8576405b3599", null ], - [ "total_force", "classPenningTrap.html#a1f668c4433421136ad51741741aa1bc8", null ], - [ "total_force_external", "classPenningTrap.html#ae72d203b0bfa1b9e72bea28cb2863c56", null ], - [ "total_force_particles", "classPenningTrap.html#a46a954a0946def199e30fb300ba1c47b", null ], - [ "v_func", "classPenningTrap.html#af98a720da60b0e1a62aefa5f5cb37c1e", null ], - [ "write_simulation_to_dir", "classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57", null ], + [ "external_B_field", "classPenningTrap.html#a361f2c4862c90b5e8e2a2f50c6a95655", null ], + [ "external_E_field", "classPenningTrap.html#a5846c8f75cdc543fd9cf0b2185a3ef22", null ], + [ "force_on_particle", "classPenningTrap.html#a7f210bb2768a5d79ced4b0df0df97598", null ], + [ "fraction_of_particles_left", "classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f", null ], + [ "r_func", "classPenningTrap.html#a826b7fa8e709d481eb1dee7d0c2cdc08", null ], + [ "reinitialize", "classPenningTrap.html#aaee129f177657455348d0c8ae1441dea", null ], + [ "set_pertubation", "classPenningTrap.html#a9d1d8e90ca839b928aee1ad0cd4aff43", null ], + [ "simulate", "classPenningTrap.html#a7a1d9f0528a12308de25bc30718da20a", null ], + [ "total_force", "classPenningTrap.html#a9a301b0540078c36697880ef204afdf3", null ], + [ "total_force_external", "classPenningTrap.html#a2c01108b52c8e2a003cf9170da9e7682", null ], + [ "total_force_particles", "classPenningTrap.html#a2fe1cefbae18fa5808155ee0d2df713c", null ], + [ "v_func", "classPenningTrap.html#a3c0a44e4e0a94366ff609e81fe463fa2", null ], + [ "write_simulation_to_dir", "classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b", null ], [ "B_0", "classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716", null ], [ "d", "classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2", null ], [ "k_r", "classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640", null ], [ "k_v", "classPenningTrap.html#ae9b5afdaa5cd366e94bd294452a1eed4", null ], [ "particles", "classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f", null ], + [ "perturbation", "classPenningTrap.html#ae915f6ad0eef1fb46530e836b6e071e5", null ], [ "t", "classPenningTrap.html#a8ca4e21291f60fde619c14099d8c4e8e", null ], - [ "V_0", "classPenningTrap.html#aaf105828121c4a33cc2b217453c20317", null ] + [ "V_0", "classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89", null ] ]; \ No newline at end of file diff --git a/docs/classPenningTrapTest-members.html b/docs/classPenningTrapTest-members.html index 6a01a89..a1728e4 100644 --- a/docs/classPenningTrapTest-members.html +++ b/docs/classPenningTrapTest-members.html @@ -104,11 +104,11 @@ $(document).ready(function(){initNavTree('classPenningTrapTest.html',''); initRe

This is the complete list of members for PenningTrapTest, including all inherited members.

- - - - - + + + + +
test_external_B_field()PenningTrapTestinlinestatic
test_external_E_field()PenningTrapTestinlinestatic
test_force_on_particle()PenningTrapTestinlinestatic
test_total_force_external()PenningTrapTestinlinestatic
test_total_force_particles()PenningTrapTestinlinestatic
test_external_B_field()PenningTrapTestinline
test_external_E_field()PenningTrapTestinline
test_force_on_particle()PenningTrapTestinline
test_total_force_external()PenningTrapTestinline
test_total_force_particles()PenningTrapTestinline
diff --git a/docs/classPenningTrapTest.html b/docs/classPenningTrapTest.html index b058407..e679696 100644 --- a/docs/classPenningTrapTest.html +++ b/docs/classPenningTrapTest.html @@ -99,7 +99,7 @@ $(document).ready(function(){initNavTree('classPenningTrapTest.html',''); initRe @@ -108,31 +108,31 @@ $(document).ready(function(){initNavTree('classPenningTrapTest.html',''); initRe

Test class for the Penning trap. More...

- - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + +

-Static Public Member Functions

static void test_external_E_field ()
 Test that the external E field gives correct values.
 
static void test_external_B_field ()
 Test that the external B field gives correct values.
 
static void test_force_on_particle ()
 Test that the force between particles gives expected results.
 
static void test_total_force_external ()
 Test that the total external force returns expected results.
 
static void test_total_force_particles ()
 Test that the total force of all particles on a single particle returns expected results.
 

+Public Member Functions

void test_external_E_field ()
 Test that the external E field gives correct values.
 
void test_external_B_field ()
 Test that the external B field gives correct values.
 
void test_force_on_particle ()
 Test that the force between particles gives expected results.
 
void test_total_force_external ()
 Test that the total external force returns expected results.
 
void test_total_force_particles ()
 Test that the total force of all particles on a single particle returns expected results.
 

Detailed Description

Test class for the Penning trap.

-

Definition at line 22 of file test_suite.cpp.

+

Definition at line 23 of file test_suite.cpp.

Member Function Documentation

- -

◆ test_external_B_field()

+ +

◆ test_external_B_field()

@@ -141,7 +141,7 @@ Static Public Member Functions - + @@ -149,19 +149,19 @@ Static Public Member Functions
static void PenningTrapTest::test_external_B_field void PenningTrapTest::test_external_B_field ( )
-inlinestatic +inline

Test that the external B field gives correct values.

-

Definition at line 65 of file test_suite.cpp.

+

Definition at line 66 of file test_suite.cpp.

- -

◆ test_external_E_field()

+ +

◆ test_external_E_field()

@@ -170,7 +170,7 @@ Static Public Member Functions - + @@ -178,19 +178,19 @@ Static Public Member Functions
static void PenningTrapTest::test_external_E_field void PenningTrapTest::test_external_E_field ( )
-inlinestatic +inline

Test that the external E field gives correct values.

-

Definition at line 26 of file test_suite.cpp.

+

Definition at line 28 of file test_suite.cpp.

- -

◆ test_force_on_particle()

+ +

◆ test_force_on_particle()

@@ -199,7 +199,7 @@ Static Public Member Functions - + @@ -207,19 +207,19 @@ Static Public Member Functions
static void PenningTrapTest::test_force_on_particle void PenningTrapTest::test_force_on_particle ( )
-inlinestatic +inline

Test that the force between particles gives expected results.

-

Definition at line 78 of file test_suite.cpp.

+

Definition at line 80 of file test_suite.cpp.

- -

◆ test_total_force_external()

+ +

◆ test_total_force_external()

@@ -228,7 +228,7 @@ Static Public Member Functions - + @@ -236,19 +236,19 @@ Static Public Member Functions
static void PenningTrapTest::test_total_force_external void PenningTrapTest::test_total_force_external ( )
-inlinestatic +inline

Test that the total external force returns expected results.

-

Definition at line 105 of file test_suite.cpp.

+

Definition at line 107 of file test_suite.cpp.

- -

◆ test_total_force_particles()

+ +

◆ test_total_force_particles()

@@ -257,7 +257,7 @@ Static Public Member Functions - + @@ -265,14 +265,14 @@ Static Public Member Functions
static void PenningTrapTest::test_total_force_particles void PenningTrapTest::test_total_force_particles ( )
-inlinestatic +inline

Test that the total force of all particles on a single particle returns expected results.

-

Definition at line 121 of file test_suite.cpp.

+

Definition at line 122 of file test_suite.cpp.

diff --git a/docs/classPenningTrapTest.js b/docs/classPenningTrapTest.js new file mode 100644 index 0000000..54d09ee --- /dev/null +++ b/docs/classPenningTrapTest.js @@ -0,0 +1,8 @@ +var classPenningTrapTest = +[ + [ "test_external_B_field", "classPenningTrapTest.html#ad668d7d875bdc1909a42426bf9dead9e", null ], + [ "test_external_E_field", "classPenningTrapTest.html#a6a303be62039ca2ecccd8252744d4dc8", null ], + [ "test_force_on_particle", "classPenningTrapTest.html#a5f4f0b150e54ce463bb29f76d49883f9", null ], + [ "test_total_force_external", "classPenningTrapTest.html#ae6d0c8e0d80338fb7c7edefc97331046", null ], + [ "test_total_force_particles", "classPenningTrapTest.html#a68449d508e66205bc8b27fa5f60db508", null ] +]; \ No newline at end of file diff --git a/docs/constants_8hpp.html b/docs/constants_8hpp.html index 8c5aceb..8119c18 100644 --- a/docs/constants_8hpp.html +++ b/docs/constants_8hpp.html @@ -111,26 +111,68 @@ $(document).ready(function(){initNavTree('constants_8hpp.html',''); initResizabl - + - + - + + + + + + +

Macros

#define K_E   138935.333
#define K_E   1.38935333 * 1e5
 Coulomb constant. unit: \(\frac{u(\mu m)^3}{(\mu s)^2 e^2}\).
 
#define T   96.4852558
#define T   9.64852558 * 1e1
 1 Tesla. unit: \( \frac{u}{(\mu s) e} \)
 
#define V   96485255.8
#define V   9.64852558 * 1e7
 1 Volt. unit: \( \frac{u (\mu m)^2}{(\mu s)^2 e} \)
 
#define CA_MASS   40.078
 Mass of a single calcium ion. unit: amu.
 
#define CA_CHARGE   1.
 Charge of a singly charged calcium ion. unit: e.
 

Detailed Description

Library of constants.

Author
Cory Alexander Balaton (coryab)
Janita Ovidie Sandtrøen Willumsen (janitaws)
-
Version
0.1
+
Version
1.0
Bug:
No known bugs

Definition in file constants.hpp.

Macro Definition Documentation

+ +

◆ CA_CHARGE

+ +
+
+ + + + +
#define CA_CHARGE   1.
+
+ +

Charge of a singly charged calcium ion. unit: e.

+ +

Definition at line 33 of file constants.hpp.

+ +
+
+ +

◆ CA_MASS

+ +
+
+ + + + +
#define CA_MASS   40.078
+
+ +

Mass of a single calcium ion. unit: amu.

+ +

Definition at line 29 of file constants.hpp.

+ +
+

◆ K_E

@@ -138,14 +180,14 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
- +
#define K_E   138935.333#define K_E   1.38935333 * 1e5

Coulomb constant. unit: \(\frac{u(\mu m)^3}{(\mu s)^2 e^2}\).

-

Definition at line 15 of file constants.hpp.

+

Definition at line 17 of file constants.hpp.

@@ -156,14 +198,14 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
- +
#define T   96.4852558#define T   9.64852558 * 1e1

1 Tesla. unit: \( \frac{u}{(\mu s) e} \)

-

Definition at line 17 of file constants.hpp.

+

Definition at line 21 of file constants.hpp.

@@ -174,14 +216,14 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
- +
#define V   96485255.8#define V   9.64852558 * 1e7

1 Volt. unit: \( \frac{u (\mu m)^2}{(\mu s)^2 e} \)

-

Definition at line 19 of file constants.hpp.

+

Definition at line 25 of file constants.hpp.

diff --git a/docs/constants_8hpp.js b/docs/constants_8hpp.js index a4eb8d0..10edb33 100644 --- a/docs/constants_8hpp.js +++ b/docs/constants_8hpp.js @@ -1,5 +1,7 @@ var constants_8hpp = [ + [ "CA_CHARGE", "constants_8hpp.html#af7602a3a314957137ad1cd719aa23789", null ], + [ "CA_MASS", "constants_8hpp.html#a2ff491cc7958ffd5e749c518a4a60ec8", null ], [ "K_E", "constants_8hpp.html#a4e451456ad7e9276ed0afa42826e7ccb", null ], [ "T", "constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5", null ], [ "V", "constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb", null ] diff --git a/docs/constants_8hpp_source.html b/docs/constants_8hpp_source.html index a9f3f8b..a2f06fc 100644 --- a/docs/constants_8hpp_source.html +++ b/docs/constants_8hpp_source.html @@ -105,13 +105,17 @@ $(document).ready(function(){initNavTree('constants_8hpp_source.html',''); initR
12#ifndef __CONST__
13#define __CONST__
14
-
15#define K_E 138935.333
-
16
-
17#define T 96.4852558
+
17#define K_E 1.38935333 * 1e5
18
-
19#define V 96485255.8
-
20
-
21#endif
+
21#define T 9.64852558 * 1e1
+
22
+
25#define V 9.64852558 * 1e7
+
26
+
29#define CA_MASS 40.078
+
30
+
33#define CA_CHARGE 1.
+
34
+
35#endif
diff --git a/docs/functions.html b/docs/functions.html index cc1a7e4..c2f9801 100644 --- a/docs/functions.html +++ b/docs/functions.html @@ -118,14 +118,14 @@ $(document).ready(function(){initNavTree('functions.html',''); initResizable();

- e -

- f -

@@ -141,9 +141,10 @@ $(document).ready(function(){initNavTree('functions.html',''); initResizable();

- p -

@@ -153,38 +154,40 @@ $(document).ready(function(){initNavTree('functions.html',''); initResizable();

- r -

- s -

- t -

- v -

- w -

diff --git a/docs/functions_func.html b/docs/functions_func.html index 5d4f949..1b82d50 100644 --- a/docs/functions_func.html +++ b/docs/functions_func.html @@ -102,24 +102,26 @@ $(document).ready(function(){initNavTree('functions_func.html',''); initResizabl
  • add_particle() : PenningTrap
  • evolve_forward_euler() : PenningTrap
  • evolve_RK4() : PenningTrap
  • -
  • external_B_field() : PenningTrap
  • -
  • external_E_field() : PenningTrap
  • -
  • force_on_particle() : PenningTrap
  • -
  • fraction_of_particles_left() : PenningTrap
  • -
  • Particle() : Particle
  • -
  • PenningTrap() : PenningTrap
  • -
  • r_func() : PenningTrap
  • -
  • simulate() : PenningTrap
  • -
  • test_external_B_field() : PenningTrapTest
  • -
  • test_external_E_field() : PenningTrapTest
  • -
  • test_force_on_particle() : PenningTrapTest
  • -
  • test_total_force_external() : PenningTrapTest
  • -
  • test_total_force_particles() : PenningTrapTest
  • -
  • total_force() : PenningTrap
  • -
  • total_force_external() : PenningTrap
  • -
  • total_force_particles() : PenningTrap
  • -
  • v_func() : PenningTrap
  • -
  • write_simulation_to_dir() : PenningTrap
  • +
  • external_B_field() : PenningTrap
  • +
  • external_E_field() : PenningTrap
  • +
  • force_on_particle() : PenningTrap
  • +
  • fraction_of_particles_left() : PenningTrap
  • +
  • Particle() : Particle
  • +
  • PenningTrap() : PenningTrap
  • +
  • r_func() : PenningTrap
  • +
  • reinitialize() : PenningTrap
  • +
  • set_pertubation() : PenningTrap
  • +
  • simulate() : PenningTrap
  • +
  • test_external_B_field() : PenningTrapTest
  • +
  • test_external_E_field() : PenningTrapTest
  • +
  • test_force_on_particle() : PenningTrapTest
  • +
  • test_total_force_external() : PenningTrapTest
  • +
  • test_total_force_particles() : PenningTrapTest
  • +
  • total_force() : PenningTrap
  • +
  • total_force_external() : PenningTrap
  • +
  • total_force_particles() : PenningTrap
  • +
  • v_func() : PenningTrap
  • +
  • write_simulation_to_dir() : PenningTrap
  • diff --git a/docs/functions_vars.html b/docs/functions_vars.html index 3ca2e5b..81cb4af 100644 --- a/docs/functions_vars.html +++ b/docs/functions_vars.html @@ -105,11 +105,12 @@ $(document).ready(function(){initNavTree('functions_vars.html',''); initResizabl
  • k_v : PenningTrap
  • m : Particle
  • particles : PenningTrap
  • +
  • perturbation : PenningTrap
  • q : Particle
  • -
  • r_vec : Particle
  • +
  • r_vec : Particle
  • t : PenningTrap
  • -
  • V_0 : PenningTrap
  • -
  • v_vec : Particle
  • +
  • V_0 : PenningTrap
  • +
  • v_vec : Particle
  • diff --git a/docs/globals.html b/docs/globals.html index 66911fb..23a1b12 100644 --- a/docs/globals.html +++ b/docs/globals.html @@ -98,30 +98,72 @@ $(document).ready(function(){initNavTree('globals.html',''); initResizable(); })
    -
    Here is a list of all documented file members with links to the documentation:
    diff --git a/docs/globals_defs.html b/docs/globals_defs.html index c7eb483..b7d9886 100644 --- a/docs/globals_defs.html +++ b/docs/globals_defs.html @@ -101,6 +101,8 @@ $(document).ready(function(){initNavTree('globals_defs.html',''); initResizable(  
    • __METHOD_NAME__ : utils.hpp
    • ASSERT : utils.hpp
    • +
    • CA_CHARGE : constants.hpp
    • +
    • CA_MASS : constants.hpp
    • DEBUG : utils.hpp
    • K_E : constants.hpp
    • T : constants.hpp
    • diff --git a/docs/globals_func.html b/docs/globals_func.html index f5caf56..376c50c 100644 --- a/docs/globals_func.html +++ b/docs/globals_func.html @@ -99,13 +99,15 @@ $(document).ready(function(){initNavTree('globals_func.html',''); initResizable(
       
      diff --git a/docs/globals_vars.html b/docs/globals_vars.html index 2c80e49..4cbef9c 100644 --- a/docs/globals_vars.html +++ b/docs/globals_vars.html @@ -99,8 +99,8 @@ $(document).ready(function(){initNavTree('globals_vars.html',''); initResizable(
       
      diff --git a/docs/main_8cpp.html b/docs/main_8cpp.html index c7ad43a..5edc69f 100644 --- a/docs/main_8cpp.html +++ b/docs/main_8cpp.html @@ -115,6 +115,7 @@ $(document).ready(function(){initNavTree('main_8cpp.html',''); initResizable(); #include <string>
      #include <vector>
      #include "PenningTrap.hpp"
      +#include "constants.hpp"
      #include "utils.hpp"

      Go to the source code of this file.

      @@ -125,16 +126,12 @@ Macros   #define N   40000   -#define CHARGE   1. -  -#define MASS   40. -  - - - + + + @@ -147,65 +144,39 @@ Functions - - - + + + + + + + + +

      Functions

      vec_3d analytical_solution_particle_1 (double t)
       The analytical solution for particle p1.
       
      vec3 analytical_solution_particle_1 (double t)
       The analytical solution for particle p1.
       
      void simulate_single_particle ()
       Simulate a single particle over the period of 50 \( \mu s \).
       
      void simulate_100_particles ()
       Simulate 100 particles over 50 \( \mu s \).
       
      void simulate_100_particles_with_time_potential ()
       Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.
       
      void potential_resonance_wide_sweep ()
       Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.
       
      void potential_resonance_narrow_sweep ()
       Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.
       
      void potential_resonance_narrow_sweep_interaction ()
       Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.
       
      int main ()
       
      - - - - - - + + + + + +

      Variables

      -Particle p1 (CHARGE, MASS, vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.})
       Particle 1.
       
      -Particle p2 (CHARGE, MASS, vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.})
       Particle 2.
       
      +Particle p1 (vec3{20., 0., 20.}, vec3{0., 25., 0.})
       Particle 1.
       
      +Particle p2 (vec3{25., 25., 0.}, vec3{0., 40., 5.})
       Particle 2.
       

      Detailed Description

      The main program for this project.

      Author
      Cory Alexander Balaton (coryab)
      Janita Ovidie Sandtrøen Willumsen (janitaws)
      -
      Version
      0.1
      +
      Version
      1.0
      Bug:
      No known bugs

      Definition in file main.cpp.

      Macro Definition Documentation

      - -

      ◆ CHARGE

      - -
      -
      - - - - -
      #define CHARGE   1.
      -
      - -

      Definition at line 25 of file main.cpp.

      - -
      -
      - -

      ◆ MASS

      - -
      -
      - - - - -
      #define MASS   40.
      -
      - -

      Definition at line 26 of file main.cpp.

      - -
      -

      ◆ N

      @@ -218,7 +189,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      -

      Definition at line 24 of file main.cpp.

      +

      Definition at line 25 of file main.cpp.

      @@ -234,19 +205,19 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      -

      Definition at line 23 of file main.cpp.

      +

      Definition at line 24 of file main.cpp.

      Function Documentation

      - -

      ◆ analytical_solution_particle_1()

      + +

      ◆ analytical_solution_particle_1()

      - + @@ -262,9 +233,9 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      vec_3d analytical_solution_particle_1 vec3 analytical_solution_particle_1 ( double  t)
      -
      Returns
      vec_3d
      +
      Returns
      vec3
      -

      Definition at line 38 of file main.cpp.

      +

      Definition at line 37 of file main.cpp.

      @@ -283,7 +254,73 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      -

      Definition at line 194 of file main.cpp.

      +

      Definition at line 309 of file main.cpp.

      + +
      + + +

      ◆ potential_resonance_narrow_sweep()

      + +
      +
      + + + + + + + +
      void potential_resonance_narrow_sweep ()
      +
      + +

      Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.

      +

      The simulation sweeps over different frequencies in [1., 1.7] MHz.

      + +

      Definition at line 206 of file main.cpp.

      + +
      +
      + +

      ◆ potential_resonance_narrow_sweep_interaction()

      + +
      +
      + + + + + + + +
      void potential_resonance_narrow_sweep_interaction ()
      +
      + +

      Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.

      +

      The simulation sweeps over different frequencies in [1., 1.7] MHz.

      + +

      Definition at line 262 of file main.cpp.

      + +
      +
      + +

      ◆ potential_resonance_wide_sweep()

      + +
      +
      + + + + + + + +
      void potential_resonance_wide_sweep ()
      +
      + +

      Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.

      +

      The simulation sweeps over different frequencies in [0.2, 2.5] MHz.

      + +

      Definition at line 149 of file main.cpp.

      @@ -304,29 +341,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)

      Simulate 100 particles over 50 \( \mu s \).

      -

      Definition at line 131 of file main.cpp.

      - - - - -

      ◆ simulate_100_particles_with_time_potential()

      - -
      -
      - - - - - - - -
      void simulate_100_particles_with_time_potential ()
      -
      - -

      Simulate 100 particles over 500 \( \mu s \) using a time dependent potential.

      -

      The simulation sweeps over different frequencies in [0.2, 2.5] MHz.

      - -

      Definition at line 146 of file main.cpp.

      +

      Definition at line 132 of file main.cpp.

      @@ -347,7 +362,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)

      Simulate a single particle over the period of 50 \( \mu s \).

      -

      Definition at line 55 of file main.cpp.

      +

      Definition at line 54 of file main.cpp.

      @@ -368,7 +383,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)

      Simulate a single particle over 50 \( \mu s \) using different amount of steps and different methods.

      -

      Definition at line 88 of file main.cpp.

      +

      Definition at line 87 of file main.cpp.

      @@ -389,7 +404,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)

      Simulate 2 particles over the period of 50 \( \mu s \) with and without particle interactions.

      -

      Definition at line 70 of file main.cpp.

      +

      Definition at line 69 of file main.cpp.

      diff --git a/docs/main_8cpp.js b/docs/main_8cpp.js index 8b2b87e..fad5ed2 100644 --- a/docs/main_8cpp.js +++ b/docs/main_8cpp.js @@ -1,11 +1,13 @@ var main_8cpp = [ - [ "analytical_solution_particle_1", "main_8cpp.html#a6451833d72816ef393087956c766125b", null ], + [ "analytical_solution_particle_1", "main_8cpp.html#a8d92fb2ad085065fbd14718647551657", null ], + [ "potential_resonance_narrow_sweep", "main_8cpp.html#a33d9b1c76c3c80902f89a58b1a6d96ea", null ], + [ "potential_resonance_narrow_sweep_interaction", "main_8cpp.html#ac1816f70ec612edc27848ef7f0875fdb", null ], + [ "potential_resonance_wide_sweep", "main_8cpp.html#a6b38b477c18e2f4268779751a88edab1", null ], [ "simulate_100_particles", "main_8cpp.html#a213713d6ecc02a32b588ffd179dc7513", null ], - [ "simulate_100_particles_with_time_potential", "main_8cpp.html#a330668384dc073980ba11116309bacc5", null ], [ "simulate_single_particle", "main_8cpp.html#a8fdbe2d5a872e50ef5ec1263243589d6", null ], [ "simulate_single_particle_with_different_steps", "main_8cpp.html#ac67e0d59227856c4d42e7d01c75e0ad2", null ], [ "simulate_two_particles", "main_8cpp.html#a783789519f97c6430081171cacb0ffb1", null ], - [ "p1", "main_8cpp.html#a87da4ef9f2cd753579484824310467b8", null ], - [ "p2", "main_8cpp.html#a90f661586eb3c318fdca6f95ebc4fc46", null ] + [ "p1", "main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30", null ], + [ "p2", "main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7", null ] ]; \ No newline at end of file diff --git a/docs/main_8cpp_source.html b/docs/main_8cpp_source.html index 276eed1..cbf1d30 100644 --- a/docs/main_8cpp_source.html +++ b/docs/main_8cpp_source.html @@ -110,78 +110,78 @@ $(document).ready(function(){initNavTree('main_8cpp_source.html',''); initResiza
      18#include <vector>
      19
      20#include "PenningTrap.hpp"
      -
      21#include "utils.hpp"
      -
      22
      -
      23#define PARTICLES 100
      -
      24#define N 40000
      -
      25#define CHARGE 1. // unit: e
      -
      26#define MASS 40. // unit: amu
      -
      27
      -
      28// Particles used for testing
      -
      29Particle p1(CHARGE, MASS, vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.});
      -
      30Particle p2(CHARGE, MASS, vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.});
      -
      31
      - -
      39{
      -
      40 double w_0 = T / MASS;
      -
      41 double w_z2 = (50. * V / 1000.) / (MASS * 500. * 500.);
      -
      42 double w_p = (w_0 + std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;
      -
      43 double w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;
      -
      44 double A_p = (25. + w_n * 20.) / (w_n - w_p);
      -
      45 double A_n = -(25. + w_p * 20.) / (w_n - w_p);
      -
      46 std::complex<double> f =
      -
      47 A_p * std::exp(std::complex<double>(0., -w_p * t)) +
      -
      48 A_n * std::exp(std::complex<double>(0., -w_n * t));
      -
      49 vec_3d res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)};
      -
      50 return res;
      -
      51}
      -
      52
      - -
      56{
      -
      57 // Initialize trap with particle 1
      -
      58 PenningTrap trap(std::vector<Particle>{p1});
      -
      59
      -
      60 double time = 50.; // microseconds
      -
      61
      -
      62 // Simulate and write results to file
      -
      63 trap.write_simulation_to_dir("output/simulate_single_particle", time, N,
      -
      64 "rk4", false);
      -
      65}
      -
      66
      - -
      71{
      -
      72 // Initialize traps with particles
      -
      73 PenningTrap trap_no_interaction(std::vector<Particle>{p1, p2});
      -
      74 PenningTrap trap_with_interaction(std::vector<Particle>{p1, p2});
      -
      75
      -
      76 double time = 50.; // microseconds
      -
      77
      -
      78 // Simulate and write results to files
      -
      79 trap_no_interaction.write_simulation_to_dir(
      -
      80 "output/simulate_2_particles/no_interaction", time, N, "rk4", false);
      -
      81 trap_with_interaction.write_simulation_to_dir(
      -
      82 "output/simulate_2_particles/with_interaction", time, N);
      -
      83}
      -
      84
      - -
      89{
      -
      90 double time = 50.; // microseconds
      -
      91
      -
      92 std::ofstream ofile;
      -
      93
      -
      94 // Calculate relative error for RK4
      -
      95 std::string path = "output/relative_error/RK4/";
      -
      96 mkpath(path);
      +
      21#include "constants.hpp"
      +
      22#include "utils.hpp"
      +
      23
      +
      24#define PARTICLES 100
      +
      25#define N 40000
      +
      26
      +
      27// Particles used for testing
      +
      28Particle p1(vec3{20., 0., 20.}, vec3{0., 25., 0.});
      +
      29Particle p2(vec3{25., 25., 0.}, vec3{0., 40., 5.});
      +
      30
      + +
      38{
      +
      39 double w_0 = T / CA_MASS;
      +
      40 double w_z2 = (50. * V / 1000.) / (CA_MASS * 500. * 500.);
      +
      41 double w_p = (w_0 + std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;
      +
      42 double w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;
      +
      43 double A_p = (25. + w_n * 20.) / (w_n - w_p);
      +
      44 double A_n = -(25. + w_p * 20.) / (w_n - w_p);
      +
      45 std::complex<double> f =
      +
      46 A_p * std::exp(std::complex<double>(0., -w_p * t))
      +
      47 + A_n * std::exp(std::complex<double>(0., -w_n * t));
      +
      48 vec3 res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)};
      +
      49 return res;
      +
      50}
      +
      51
      + +
      55{
      +
      56 // Initialize trap with particle 1
      +
      57 PenningTrap trap(std::vector<Particle>{p1});
      +
      58
      +
      59 double time = 50.; // microseconds
      +
      60
      +
      61 // Simulate and write results to file
      +
      62 trap.write_simulation_to_dir("output/simulate_single_particle", time, N,
      +
      63 "rk4", false);
      +
      64}
      +
      65
      + +
      70{
      +
      71 // Initialize traps with particles
      +
      72 PenningTrap trap_no_interaction(std::vector<Particle>{p1, p2});
      +
      73 PenningTrap trap_with_interaction(std::vector<Particle>{p1, p2});
      +
      74
      +
      75 double time = 50.; // microseconds
      +
      76
      +
      77 // Simulate and write results to files
      +
      78 trap_no_interaction.write_simulation_to_dir(
      +
      79 "output/simulate_2_particles/no_interaction", time, N, "rk4", false);
      +
      80 trap_with_interaction.write_simulation_to_dir(
      +
      81 "output/simulate_2_particles/with_interaction", time, N);
      +
      82}
      +
      83
      + +
      88{
      +
      89 double time = 50.; // microseconds
      +
      90
      +
      91 std::ofstream ofile;
      +
      92
      +
      93 // Calculate relative error for RK4
      +
      94 std::string path = "output/relative_error/RK4/";
      +
      95 mkpath(path);
      +
      96#pragma omp parallel for
      97 for (int i = 0; i < 4; i++) {
      98 int steps = 4000 * std::pow(2, i);
      99 double dt = time / (double)steps;
      100 ofile.open(path + std::to_string(steps) + "_steps.txt");
      -
      101 PenningTrap trap(std::vector<Particle>{p1});
      +
      101 PenningTrap trap(std::vector<Particle>{p1});
      102 simulation_t res = trap.simulate(time, steps, "rk4", false);
      103 for (int i = 0; i < steps; i++) {
      -
      104 ofile << arma::norm(res.r_vecs[0][i] -
      - -
      106 << "\n";
      +
      104 ofile << arma::norm(res.r_vecs[0][i]
      + +
      106 << '\n';
      107 }
      108 ofile.close();
      109 }
      @@ -189,119 +189,261 @@ $(document).ready(function(){initNavTree('main_8cpp_source.html',''); initResiza
      111 // Calculate relative error for forward Euler
      112 path = "output/relative_error/euler/";
      113 mkpath(path);
      -
      114 for (int i = 0; i < 4; i++) {
      -
      115 int steps = 4000 * std::pow(2, i);
      -
      116 double dt = time / (double)steps;
      -
      117 ofile.open(path + std::to_string(steps) + "_steps.txt");
      -
      118 PenningTrap trap(std::vector<Particle>{p1});
      -
      119 simulation_t res = trap.simulate(time, steps, "euler", false);
      -
      120 for (int i = 0; i < steps; i++) {
      -
      121 ofile << arma::norm(res.r_vecs[0][i] -
      - -
      123 << "\n";
      -
      124 }
      -
      125 ofile.close();
      -
      126 }
      -
      127}
      -
      128
      - -
      132{
      -
      133 PenningTrap trap((unsigned)100);
      -
      134
      -
      135 double time = 50.; // microseconds
      -
      136
      -
      137 trap.write_simulation_to_dir("output/simulate_100_particles", time, N);
      -
      138}
      -
      139
      - -
      147{
      -
      148 double time = 500.;
      -
      149
      -
      150 double amplitudes[]{.1, .4, .7};
      -
      151
      -
      152 double freq_start = .2;
      -
      153 double freq_end = 2.5;
      -
      154 double freq_increment = .02;
      -
      155 size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment);
      -
      156
      -
      157 double res[4][freq_iterations];
      -
      158
      -
      159 std::string path = "output/time_dependent_potential/";
      -
      160 mkpath(path);
      -
      161
      -
      162 std::ofstream ofile;
      -
      163
      -
      164 double freq = freq_start;
      -
      165 for (size_t i = 0; i < freq_iterations; i++) {
      -
      166 res[0][i] = freq;
      -
      167 freq += freq_increment;
      -
      168 }
      -
      169
      -
      170#pragma omp parallel for collapse(2) num_threads(4)
      -
      171 for (size_t i = 0; i < 3; i++) {
      -
      172 for (size_t j = 0; j < freq_iterations; j++) {
      -
      173 PenningTrap trap(
      -
      174 (unsigned)100, T,
      -
      175 std::bind(
      -
      176 [](double f, double r, double t) {
      -
      177 return (25. * V / 1000.) * (1. + f * std::cos(r * t));
      -
      178 },
      -
      179 amplitudes[i], res[0][j], std::placeholders::_1),
      -
      180 500., 0.);
      -
      181 res[i + 1][j] =
      -
      182 trap.fraction_of_particles_left(time, N, "rk4", false);
      -
      183 }
      -
      184 }
      -
      185
      -
      186 ofile.open(path + "res.txt");
      -
      187 for (size_t i = 0; i < freq_iterations; i++) {
      -
      188 ofile << res[0][i] << "," << res[1][i] << "," << res[2][i] << ","
      -
      189 << res[3][i] << "\n";
      -
      190 }
      -
      191 ofile.close();
      -
      192}
      -
      193
      -
      194int main()
      -
      195{
      -
      196 double t0 = omp_get_wtime();
      -
      197
      -
      198 // simulate_single_particle();
      -
      199
      -
      200 // simulate_two_particles();
      -
      201
      - -
      203
      -
      204 double t1 = omp_get_wtime();
      -
      205
      - -
      207
      -
      208 //simulate_100_particles_with_time_potential();
      +
      114#pragma omp parallel for
      +
      115 for (int i = 0; i < 4; i++) {
      +
      116 int steps = 4000 * std::pow(2, i);
      +
      117 double dt = time / (double)steps;
      +
      118 ofile.open(path + std::to_string(steps) + "_steps.txt");
      +
      119 PenningTrap trap(std::vector<Particle>{p1});
      +
      120 simulation_t res = trap.simulate(time, steps, "euler", false);
      +
      121 for (int i = 0; i < steps; i++) {
      +
      122 ofile << arma::norm(res.r_vecs[0][i]
      + +
      124 << '\n';
      +
      125 }
      +
      126 ofile.close();
      +
      127 }
      +
      128}
      +
      129
      + +
      133{
      +
      134 PenningTrap trap((unsigned)100);
      +
      135
      +
      136 double time = 50.; // microseconds
      +
      137
      +
      138 trap.write_simulation_to_dir("output/simulate_100_particles", time, N,
      +
      139 "rk4", false);
      +
      140}
      +
      141
      + +
      150{
      +
      151 double time = 500.;
      +
      152
      +
      153 double amplitudes[]{.1, .4, .7};
      +
      154
      +
      155 double freq_start = .2;
      +
      156 double freq_end = 2.5;
      +
      157 double freq_increment = .02;
      +
      158 size_t freq_iterations =
      +
      159 (size_t)((freq_end - freq_start) / freq_increment) + 1;
      +
      160
      +
      161 double res[4][freq_iterations];
      +
      162
      +
      163 std::string path = "output/time_dependent_potential/";
      +
      164 mkpath(path);
      +
      165
      +
      166 std::ofstream ofile;
      +
      167
      +
      168#pragma omp parallel for
      +
      169 // Insert frequencies
      +
      170 for (size_t i = 0; i < freq_iterations; i++) {
      +
      171 res[0][i] = freq_start + freq_increment * i;
      +
      172 }
      +
      173
      +
      174#pragma omp parallel
      +
      175 {
      +
      176 // Each thread creates a PenningTrap instance and reuses it throughout
      +
      177 // the sweep.
      +
      178 PenningTrap trap((uint)100);
      +
      179#pragma omp for collapse(2)
      +
      180 for (size_t i = 0; i < 3; i++) {
      +
      181 for (size_t j = 0; j < freq_iterations; j++) {
      +
      182 // Reset particles and give new time dependent potential.
      +
      183 trap.reinitialize(amplitudes[i], res[0][j]);
      +
      184 res[i + 1][j] =
      +
      185 trap.fraction_of_particles_left(time, N, "rk4", false);
      +
      186 }
      +
      187 }
      +
      188 }
      +
      189
      +
      190 // Write results to file
      +
      191 ofile.open(path + "wide_sweep.txt");
      +
      192 for (size_t i = 0; i < freq_iterations; i++) {
      +
      193 ofile << res[0][i] << ',' << res[1][i] << ',' << res[2][i] << ','
      +
      194 << res[3][i] << '\n';
      +
      195 }
      +
      196 ofile.close();
      +
      197}
      +
      198
      + +
      207{
      +
      208 double time = 500.;
      209
      -
      210 double end = omp_get_wtime();
      +
      210 double amplitudes[]{.1, .4, .7};
      211
      -
      212 std::cout << "Time: " << (end - t1) << " seconds" << std::endl;
      -
      213
      -
      214 return 0;
      -
      215}
      +
      212 double freq_start = 1.;
      +
      213 double freq_end = 1.7;
      +
      214 double freq_increment = .002;
      +
      215 size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment);
      +
      216
      +
      217 double res[4][freq_iterations];
      +
      218
      +
      219 std::string path = "output/time_dependent_potential/";
      +
      220 mkpath(path);
      +
      221
      +
      222 std::ofstream ofile;
      +
      223
      +
      224#pragma omp parallel for
      +
      225 // Insert frequencies
      +
      226 for (size_t i = 0; i < freq_iterations; i++) {
      +
      227 res[0][i] = freq_start + freq_increment * i;
      +
      228 }
      +
      229
      +
      230#pragma omp parallel
      +
      231 {
      +
      232 // Each thread creates a PenningTrap instance and reuses it throughout
      +
      233 // the sweep.
      +
      234 PenningTrap trap((uint)100);
      +
      235#pragma omp for collapse(2)
      +
      236 for (size_t i = 0; i < 3; i++) {
      +
      237 for (size_t j = 0; j < freq_iterations; j++) {
      +
      238 // Reset particles and give new time dependent potential.
      +
      239 trap.reinitialize(amplitudes[i], res[0][j]);
      +
      240 res[i + 1][j] =
      +
      241 trap.fraction_of_particles_left(time, N, "rk4", false);
      +
      242 }
      +
      243 }
      +
      244 }
      +
      245
      +
      246 // Write results to file
      +
      247 ofile.open(path + "narrow_sweep.txt");
      +
      248 for (size_t i = 0; i < freq_iterations; i++) {
      +
      249 ofile << res[0][i] << ',' << res[1][i] << ',' << res[2][i] << ','
      +
      250 << res[3][i] << '\n';
      +
      251 }
      +
      252 ofile.close();
      +
      253}
      +
      254
      + +
      263{
      +
      264 double time = 500.;
      +
      265
      +
      266 double amplitudes[]{.1, .4, .7};
      +
      267
      +
      268 double freq_start = 1.;
      +
      269 double freq_end = 1.7;
      +
      270 double freq_increment = .002;
      +
      271 size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment);
      +
      272
      +
      273 double res[4][freq_iterations];
      +
      274
      +
      275 std::string path = "output/time_dependent_potential/";
      +
      276 mkpath(path);
      +
      277
      +
      278 std::ofstream ofile;
      +
      279
      +
      280#pragma omp parallel for
      +
      281 for (size_t i = 0; i < freq_iterations; i++) {
      +
      282 res[0][i] = freq_start + freq_increment * i;
      +
      283 }
      +
      284
      +
      285#pragma omp parallel
      +
      286 {
      +
      287 // Each thread creates a PenningTrap instance and reuses it throughout
      +
      288 // the sweep.
      +
      289 PenningTrap trap((uint)100);
      +
      290#pragma omp for collapse(2)
      +
      291 for (size_t i = 0; i < 3; i++) {
      +
      292 for (size_t j = 0; j < freq_iterations; j++) {
      +
      293 // Reset particles and give new time dependent potential.
      +
      294 trap.reinitialize(amplitudes[i], res[0][j]);
      +
      295 res[i + 1][j] = trap.fraction_of_particles_left(time, N);
      +
      296 }
      +
      297 }
      +
      298 }
      +
      299
      +
      300 // Write results to file
      +
      301 ofile.open(path + "narrow_sweep_interactions.txt");
      +
      302 for (size_t i = 0; i < freq_iterations; i++) {
      +
      303 ofile << res[0][i] << ',' << res[1][i] << ',' << res[2][i] << ','
      +
      304 << res[3][i] << '\n';
      +
      305 }
      +
      306 ofile.close();
      +
      307}
      +
      308
      +
      309int main()
      +
      310{
      +
      311 double start, end, t1, t2;
      +
      312 start = omp_get_wtime();
      +
      313
      + +
      315
      + +
      317
      + +
      319
      +
      320 t2 = omp_get_wtime();
      +
      321
      +
      322 std::cout << "Time single and double : " << (t2 - start)
      +
      323 << " seconds" << std::endl;
      +
      324
      +
      325 t1 = omp_get_wtime();
      +
      326
      + +
      328
      +
      329 t2 = omp_get_wtime();
      +
      330
      +
      331 std::cout << "Time 100 particles : " << (t2 - t1)
      +
      332 << " seconds" << std::endl;
      +
      333
      +
      334 t1 = omp_get_wtime();
      +
      335
      + +
      337
      +
      338 t2 = omp_get_wtime();
      +
      339
      +
      340 std::cout << "Time wide sweep : " << (t2 - t1)
      +
      341 << " seconds" << std::endl;
      +
      342
      +
      343 t1 = omp_get_wtime();
      +
      344
      + +
      346
      +
      347 t2 = omp_get_wtime();
      +
      348
      +
      349 std::cout << "Time narrow sweep no interaction : " << (t2 - t1)
      +
      350 << " seconds" << std::endl;
      +
      351
      +
      352 t1 = omp_get_wtime();
      +
      353
      + +
      355
      +
      356 t2 = omp_get_wtime();
      +
      357
      +
      358 std::cout << "Time narrow sweep with interaction: " << (t2 - t1)
      +
      359 << " seconds" << std::endl;
      +
      360
      +
      361 end = omp_get_wtime();
      +
      362
      +
      363 std::cout << "Time : " << (end - start)
      +
      364 << " seconds" << std::endl;
      +
      365
      +
      366 return 0;
      +
      367}
      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:31
      -
      double fraction_of_particles_left(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
      -
      void write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and write the displacement of all particles to files.
      -
      #define T
      1 Tesla. unit:
      Definition: constants.hpp:17
      -
      #define V
      1 Volt. unit:
      Definition: constants.hpp:19
      -
      void simulate_100_particles()
      Simulate 100 particles over 50 .
      Definition: main.cpp:131
      -
      void simulate_100_particles_with_time_potential()
      Simulate 100 particles over 500 using a time dependent potential.
      Definition: main.cpp:146
      -
      vec_3d analytical_solution_particle_1(double t)
      The analytical solution for particle p1.
      Definition: main.cpp:38
      -
      void simulate_two_particles()
      Simulate 2 particles over the period of 50 with and without particle interactions.
      Definition: main.cpp:70
      -
      Particle p1(CHARGE, MASS, vec_3d{20., 0., 20.}, vec_3d{0., 25., 0.})
      Particle 1.
      -
      void simulate_single_particle()
      Simulate a single particle over the period of 50 .
      Definition: main.cpp:55
      -
      Particle p2(CHARGE, MASS, vec_3d{25., 25., 0.}, vec_3d{0., 40., 5.})
      Particle 2.
      -
      void simulate_single_particle_with_different_steps()
      Simulate a single particle over 50 using different amount of steps and different methods.
      Definition: main.cpp:88
      +
      A class that holds attributes of a particle.
      Definition: Particle.hpp:23
      +
      A class that simulates a Penning trap.
      Definition: PenningTrap.hpp:32
      +
      void reinitialize(double f, double omega_V, double t=0.)
      Give all particles new positions and velocities, and change t and V_0.
      Definition: PenningTrap.cpp:53
      +
      double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
      +
      void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and write the displacement of all particles to files.
      +
      Library of constants.
      +
      #define T
      1 Tesla. unit:
      Definition: constants.hpp:21
      +
      #define CA_MASS
      Mass of a single calcium ion. unit: amu.
      Definition: constants.hpp:29
      +
      #define V
      1 Volt. unit:
      Definition: constants.hpp:25
      +
      void simulate_100_particles()
      Simulate 100 particles over 50 .
      Definition: main.cpp:132
      +
      Particle p1(vec3{20., 0., 20.}, vec3{0., 25., 0.})
      Particle 1.
      +
      void potential_resonance_narrow_sweep()
      Simulate 100 particles over 500 using a time dependent potential.
      Definition: main.cpp:206
      +
      void potential_resonance_wide_sweep()
      Simulate 100 particles over 500 using a time dependent potential.
      Definition: main.cpp:149
      +
      void simulate_two_particles()
      Simulate 2 particles over the period of 50 with and without particle interactions.
      Definition: main.cpp:69
      +
      vec3 analytical_solution_particle_1(double t)
      The analytical solution for particle p1.
      Definition: main.cpp:37
      +
      void simulate_single_particle()
      Simulate a single particle over the period of 50 .
      Definition: main.cpp:54
      +
      void potential_resonance_narrow_sweep_interaction()
      Simulate 100 particles over 500 using a time dependent potential.
      Definition: main.cpp:262
      +
      void simulate_single_particle_with_different_steps()
      Simulate a single particle over 50 using different amount of steps and different methods.
      Definition: main.cpp:87
      +
      Particle p2(vec3{25., 25., 0.}, vec3{0., 40., 5.})
      Particle 2.
      Typedef for PenningTrap::simulation return value.
      Definition: typedefs.hpp:40
      -
      arma::vec::fixed< 3 > vec_3d
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:36
      +
      arma::vec::fixed< 3 > vec3
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:23
      Function prototypes and macros that are useful.
      -
      bool mkpath(std::string path, int mode=0777)
      Make path given.
      Definition: utils.cpp:74
      +
      bool mkpath(std::string path, int mode=0777)
      Make path given.
      Definition: utils.cpp:72
      diff --git a/docs/menudata.js b/docs/menudata.js index 84356c6..51a28c4 100644 --- a/docs/menudata.js +++ b/docs/menudata.js @@ -50,7 +50,17 @@ var menudata={children:[ {text:"Files",url:"files.html",children:[ {text:"File List",url:"files.html"}, {text:"File Members",url:"globals.html",children:[ -{text:"All",url:"globals.html"}, +{text:"All",url:"globals.html",children:[ +{text:"_",url:"globals.html#index__5F"}, +{text:"a",url:"globals.html#index_a"}, +{text:"c",url:"globals.html#index_c"}, +{text:"d",url:"globals.html#index_d"}, +{text:"k",url:"globals.html#index_k"}, +{text:"m",url:"globals.html#index_m"}, +{text:"p",url:"globals.html#index_p"}, +{text:"s",url:"globals.html#index_s"}, +{text:"t",url:"globals.html#index_t"}, +{text:"v",url:"globals.html#index_v"}]}, {text:"Functions",url:"globals_func.html"}, {text:"Variables",url:"globals_vars.html"}, {text:"Typedefs",url:"globals_type.html"}, diff --git a/docs/navtreeindex0.js b/docs/navtreeindex0.js index d727fc6..38ecabb 100644 --- a/docs/navtreeindex0.js +++ b/docs/navtreeindex0.js @@ -12,43 +12,53 @@ var NAVTREEINDEX0 = "annotated.html":[5,0], "bug.html":[4], "classParticle.html":[5,0,0], +"classParticle.html#a1c59101411db43624828b766f87ad460":[5,0,0,4], +"classParticle.html#a3a10400add8dd22b8031330c2aafb6fe":[5,0,0,5], "classParticle.html#a566dcc1de4bdc01251776948798ea8e1":[5,0,0,3], -"classParticle.html#a7af9f8d1fef63dd7643b06629ac7bef4":[5,0,0,0], -"classParticle.html#a879692772803d6ab65fa4993b54aea6e":[5,0,0,5], "classParticle.html#aa797d319549dc2a0beb06cdbfd430232":[5,0,0,1], "classParticle.html#aedcc7e1bc53b0e2b1a4a07c9a1b47563":[5,0,0,2], -"classParticle.html#af9497cd8f2dcad0fad54f571ddb383e6":[5,0,0,4], +"classParticle.html#af1d7535fb8311eaa77d2b7b345882ec4":[5,0,0,0], "classPenningTrap.html":[5,0,1], -"classPenningTrap.html#a0112525d9e79a472e761f8ef402a339f":[5,0,1,21], -"classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b":[5,0,1,9], 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"test__suite_8cpp.html":[6,0,1,4], "test__suite_8cpp_source.html":[6,0,1,4], "typedefs_8hpp.html":[6,0,0,3], +"typedefs_8hpp.html#a33418f31f28663b8414c8f7182998c22":[6,0,0,3,3], +"typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea":[6,0,0,3,5], +"typedefs_8hpp.html#a46482a2697556c00556c9d73f461784f":[6,0,0,3,2], "typedefs_8hpp.html#a784799c37b5e4fb8bf4f6368e004dec6":[6,0,0,3,4], -"typedefs_8hpp.html#a7c2dfa854274262c4e00e4ef0ab2ce23":[6,0,0,3,2], -"typedefs_8hpp.html#a8502989b1b361725834fc185bd575f66":[6,0,0,3,3], -"typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df":[6,0,0,3,5], "typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af":[6,0,0,3,1], "typedefs_8hpp_source.html":[6,0,0,3], "utils_8cpp.html":[6,0,1,5], diff --git a/docs/plot__particles__left_8py_source.html b/docs/plot__particles__left_8py_source.html index 33e15f0..4e37019 100644 --- a/docs/plot__particles__left_8py_source.html +++ b/docs/plot__particles__left_8py_source.html @@ -102,35 +102,73 @@ $(document).ready(function(){initNavTree('plot__particles__left_8py_source.html'
      1import matplotlib.pyplot as plt
      -
      2
      -
      3def main():
      -
      4 with open("output/time_dependent_potential/res.txt") as f:
      -
      5 lines = f.readlines()
      -
      6 x = []
      -
      7 y1 = []
      -
      8 y2 = []
      -
      9 y3 = []
      -
      10 for line in lines:
      -
      11 l = line.strip().split(",")
      -
      12 x.append(float(l[0]))
      -
      13 y1.append(float(l[1]))
      -
      14 y2.append(float(l[2]))
      -
      15 y3.append(float(l[3]))
      +
      2import seaborn as sns
      +
      3
      +
      4sns.set_theme()
      +
      5params = {
      +
      6 "font.family": "Serif",
      +
      7 "font.serif": "Roman",
      +
      8 "text.usetex": True,
      +
      9 "axes.titlesize": "large",
      +
      10 "axes.labelsize": "large",
      +
      11 "xtick.labelsize": "large",
      +
      12 "ytick.labelsize": "large",
      +
      13 "legend.fontsize": "medium"
      +
      14}
      +
      15plt.rcParams.update(params)
      16
      -
      17 plt.plot(x,y1,label=f"amplitude: 0.1")
      -
      18 plt.plot(x,y2,label=f"amplitude: 0.4")
      -
      19 plt.plot(x,y3,label=f"amplitude: 0.7")
      -
      20
      -
      21 plt.xlabel(r"$\omega_V$ (MHz)")
      -
      22 plt.ylabel(r"Fraction of particles left")
      -
      23 plt.title(r"The fraction of particles left in the Penning trap "
      -
      24 "after 500 microseconds for different amplitudes and frequencies")
      -
      25 plt.legend()
      -
      26 # plt.show()
      -
      27 plt.savefig("../latex/images/particles_left.pdf")
      -
      28
      -
      29if __name__ == "__main__":
      -
      30 main()
      +
      17def main():
      +
      18 colors = [
      +
      19 "lightskyblue",
      +
      20 "deepskyblue",
      +
      21 "salmon",
      +
      22 "tomato",
      +
      23 "mediumaquamarine",
      +
      24 "mediumseagreen"
      +
      25 ]
      +
      26 files = [
      +
      27 "output/time_dependent_potential/wide_sweep.txt",
      +
      28 "output/time_dependent_potential/narrow_sweep.txt",
      +
      29 "output/time_dependent_potential/narrow_sweep_interactions.txt",
      +
      30 ]
      +
      31 outputs = [
      +
      32 "../latex/images/wide_sweep.pdf",
      +
      33 "../latex/images/narrow_sweep.pdf",
      +
      34 "../latex/images/narrow_sweep_interactions.pdf",
      +
      35 ]
      +
      36 for file, output in zip(files, outputs):
      +
      37 with open(file) as f:
      +
      38 lines = f.readlines()
      +
      39 x = []
      +
      40 y1 = []
      +
      41 y2 = []
      +
      42 y3 = []
      +
      43 for line in lines:
      +
      44 l = line.strip().split(",")
      +
      45 x.append(float(l[0]))
      +
      46 y1.append(float(l[1]))
      +
      47 y2.append(float(l[2]))
      +
      48 y3.append(float(l[3]))
      +
      49
      +
      50 fig, ax = plt.subplots()
      +
      51 ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0])
      +
      52 ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2])
      +
      53 ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4])
      +
      54
      +
      55 ax.set_xlabel(r"Frequency $\omega_V$ (MHz)")
      +
      56 # ax.set_xlim((0, 2.8))
      +
      57 ax.set_ylabel(r"Fraction of particles left")
      +
      58 # ax.set_ylim((-0.1, 1.1))
      +
      59 # plt.title(r"The fraction of particles left in the Penning trap "
      +
      60 # "after 500 microseconds for different amplitudes and frequencies")
      +
      61
      +
      62 ax.legend(loc="upper right")
      +
      63
      +
      64 # plt.show()
      +
      65 fig.savefig(output, bbox_inches="tight")
      +
      66
      +
      67if __name__ == "__main__":
      +
      68 main()
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['v_5f0_0',['V_0',['../classPenningTrap.html#aaf105828121c4a33cc2b217453c20317',1,'PenningTrap']]], - ['v_5fvec_1',['v_vec',['../classParticle.html#a879692772803d6ab65fa4993b54aea6e',1,'Particle']]] + ['v_5f0_0',['V_0',['../classPenningTrap.html#a715329844d75ec4c04f8391421fb4e89',1,'PenningTrap']]], + ['v_5fvec_1',['v_vec',['../classParticle.html#a3a10400add8dd22b8031330c2aafb6fe',1,'Particle']]] ]; diff --git a/docs/test__suite_8cpp.html b/docs/test__suite_8cpp.html index ccc234d..6211476 100644 --- a/docs/test__suite_8cpp.html +++ b/docs/test__suite_8cpp.html @@ -111,6 +111,7 @@ $(document).ready(function(){initNavTree('test__suite_8cpp.html',''); initResiza #include <sstream>
      #include <string>
      #include "PenningTrap.hpp"
      +#include "constants.hpp"
      #include "utils.hpp"

      Go to the source code of this file.

      @@ -131,7 +132,7 @@ Functions
      Author
      Cory Alexander Balaton (coryab)
      Janita Ovidie Sandtrøen Willumsen (janitaws)
      -
      Version
      0.1
      +
      Version
      1.0
      Bug:
      No known bugs

      Definition in file test_suite.cpp.

      @@ -151,7 +152,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      -

      Definition at line 148 of file test_suite.cpp.

      +

      Definition at line 145 of file test_suite.cpp.

      diff --git a/docs/test__suite_8cpp.js b/docs/test__suite_8cpp.js index 5bace7d..0a487ff 100644 --- a/docs/test__suite_8cpp.js +++ b/docs/test__suite_8cpp.js @@ -1,4 +1,4 @@ var test__suite_8cpp = [ - [ "PenningTrapTest", "classPenningTrapTest.html", null ] + [ "PenningTrapTest", "classPenningTrapTest.html", "classPenningTrapTest" ] ]; \ No newline at end of file diff --git a/docs/test__suite_8cpp_source.html b/docs/test__suite_8cpp_source.html index 5341d26..8374f2c 100644 --- a/docs/test__suite_8cpp_source.html +++ b/docs/test__suite_8cpp_source.html @@ -107,152 +107,150 @@ $(document).ready(function(){initNavTree('test__suite_8cpp_source.html',''); ini
      15#include <string>
      16
      17#include "PenningTrap.hpp"
      -
      18#include "utils.hpp"
      -
      19
      - -
      23public:
      - -
      27 {
      -
      28 PenningTrap trap;
      -
      29
      -
      30 // Vector containing inputs and expected results
      -
      31 std::vector<std::pair<vec_3d, vec_3d>> tests;
      -
      32
      -
      33 tests.push_back(
      -
      34 std::make_pair(vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.}));
      -
      35
      -
      36 tests.push_back(std::make_pair(vec_3d{10., 0., 0.},
      -
      37 vec_3d{96.4852558, 0., 0.}));
      -
      38
      -
      39 tests.push_back(std::make_pair(vec_3d{10., 0., 0.},
      -
      40 vec_3d{96.4852558, 0., 0.}));
      -
      41
      -
      42 tests.push_back(std::make_pair(vec_3d{0., 10., 0.},
      -
      43 vec_3d{0., 96.4852558, 0.}));
      -
      44
      -
      45 tests.push_back(std::make_pair(vec_3d{0., 0., 10.},
      -
      46 vec_3d{0., 0., -192.9705116}));
      -
      47
      -
      48 vec_3d result;
      -
      49 vec_3d v;
      -
      50 std::stringstream msg;
      -
      51 for (size_t i = 0; i < tests.size(); i++) {
      -
      52 v = tests.at(i).first;
      -
      53 result = trap.external_E_field(v);
      -
      54
      -
      55 msg.str("");
      -
      56 msg << "Testing the external E field at (" << std::setprecision(2)
      -
      57 << v(0) << "," << v(1) << "," << v(2) << ").";
      -
      58
      -
      59 ASSERT(close_to(result, tests.at(i).second), msg.str());
      -
      60 }
      -
      61 }
      -
      62
      - -
      66 {
      -
      67 // No point in testing at different points since it's not dependent
      -
      68 // on position.
      -
      69 PenningTrap trap;
      -
      70 vec_3d expected{0., 0., T};
      -
      71 vec_3d result = trap.external_B_field(vec_3d{0., 0., 0.});
      -
      72 ASSERT(close_to(expected, result),
      -
      73 "Testing the external B field at (0,0,0)");
      -
      74 }
      -
      75
      - -
      79 {
      -
      80 PenningTrap trap;
      -
      81 vec_3d v{0., 0., 0.};
      -
      82
      -
      83 // Add particles to test
      -
      84 trap.add_particle(Particle(1., 40., vec_3d{0., 0., 0.}, v));
      -
      85 trap.add_particle(Particle(1., 40., vec_3d{1., 0., 0.}, v));
      -
      86 trap.add_particle(Particle(1., 40., vec_3d{0., 3., 4.}, v));
      -
      87
      -
      88 // Test p0 and p1
      -
      89 vec_3d expected{-1., 0., 0.};
      -
      90 vec_3d result = trap.force_on_particle(0, 1);
      -
      91 ASSERT(close_to(expected, result),
      -
      92 "Testing the force on a particle at (0,0,0) from a "
      -
      93 "particle at (1,0,0).");
      -
      94
      -
      95 // Test p0 and p2
      -
      96 expected = vec_3d{0, -.024, -.032};
      -
      97 result = trap.force_on_particle(0, 2);
      -
      98 ASSERT(close_to(expected, result),
      -
      99 "Testing the force on a particle at (0,0,0) from a "
      -
      100 "particle at (0,3,4).");
      -
      101 }
      -
      102
      - -
      106 {
      -
      107 PenningTrap trap;
      -
      108 trap.add_particle(
      -
      109 Particle(1., 40., vec_3d{1., 2., 3.}, vec_3d{3., 4., 5.}));
      -
      110
      -
      111 vec_3d expected{395.58954878, -270.15871624, -57.89115348};
      -
      112 vec_3d result = trap.total_force_external(0);
      -
      113 ASSERT(close_to(expected, result),
      -
      114 "Testing the total external force on a particle at "
      -
      115 "(1,2,3) with velocity (3,4,5)");
      -
      116 }
      -
      117
      - -
      122 {
      -
      123 PenningTrap trap;
      -
      124 trap.add_particle(
      -
      125 Particle(1., 40., vec_3d{0., 0., 0.}, vec_3d{0., 0., 0.}));
      +
      18#include "constants.hpp"
      +
      19#include "utils.hpp"
      +
      20
      + +
      24{
      +
      25public:
      + +
      29 {
      +
      30 PenningTrap trap;
      +
      31
      +
      32 // Vector containing inputs and expected results
      +
      33 std::vector<std::pair<vec3, vec3>> tests;
      +
      34
      +
      35 tests.push_back(std::make_pair(vec3{0., 0., 0.}, vec3{0., 0., 0.}));
      +
      36
      +
      37 tests.push_back(
      +
      38 std::make_pair(vec3{10., 0., 0.}, vec3{96.4852558, 0., 0.}));
      +
      39
      +
      40 tests.push_back(
      +
      41 std::make_pair(vec3{10., 0., 0.}, vec3{96.4852558, 0., 0.}));
      +
      42
      +
      43 tests.push_back(
      +
      44 std::make_pair(vec3{0., 10., 0.}, vec3{0., 96.4852558, 0.}));
      +
      45
      +
      46 tests.push_back(
      +
      47 std::make_pair(vec3{0., 0., 10.}, vec3{0., 0., -192.9705116}));
      +
      48
      +
      49 vec3 result;
      +
      50 vec3 v;
      +
      51 std::stringstream msg;
      +
      52 for (size_t i = 0; i < tests.size(); i++) {
      +
      53 v = tests.at(i).first;
      +
      54 result = trap.external_E_field(v);
      +
      55
      +
      56 msg.str("");
      +
      57 msg << "Testing the external E field at (" << std::setprecision(2)
      +
      58 << v(0) << "," << v(1) << "," << v(2) << ").";
      +
      59
      +
      60 ASSERT(close_to(result, tests.at(i).second), msg.str());
      +
      61 }
      +
      62 }
      +
      63
      + +
      67 {
      +
      68 // No point in testing at different points since it's not dependent
      +
      69 // on position.
      +
      70 PenningTrap trap;
      +
      71 vec3 expected{0., 0., T};
      +
      72 vec3 result = trap.external_B_field(vec3{0., 0., 0.});
      +
      73 ASSERT(close_to(expected, result),
      +
      74 "Testing the external B field at (0,0,0)");
      +
      75 }
      +
      76
      + +
      81 {
      +
      82 PenningTrap trap;
      +
      83 vec3 v{0., 0., 0.};
      +
      84
      +
      85 // Add particles to test
      +
      86 trap.add_particle(Particle(vec3{0., 0., 0.}, v));
      +
      87 trap.add_particle(Particle(vec3{1., 0., 0.}, v));
      +
      88 trap.add_particle(Particle(vec3{0., 3., 4.}, v));
      +
      89
      +
      90 // Test p0 and p1
      +
      91 vec3 expected{-1., 0., 0.};
      +
      92 vec3 result = trap.force_on_particle(0, 1);
      +
      93 ASSERT(close_to(expected, result),
      +
      94 "Testing the force on a particle at (0,0,0) from a "
      +
      95 "particle at (1,0,0).");
      +
      96
      +
      97 // Test p0 and p2
      +
      98 expected = vec3{0, -.024, -.032};
      +
      99 result = trap.force_on_particle(0, 2);
      +
      100 ASSERT(close_to(expected, result),
      +
      101 "Testing the force on a particle at (0,0,0) from a "
      +
      102 "particle at (0,3,4).");
      +
      103 }
      +
      104
      + +
      108 {
      +
      109 PenningTrap trap;
      +
      110 trap.add_particle(Particle(vec3{1., 2., 3.}, vec3{3., 4., 5.}));
      +
      111
      +
      112 vec3 expected{395.58954878, -270.15871624, -57.89115348};
      +
      113 vec3 result = trap.total_force_external(0);
      +
      114 ASSERT(close_to(expected, result),
      +
      115 "Testing the total external force on a particle at "
      +
      116 "(1,2,3) with velocity (3,4,5)");
      +
      117 }
      +
      118
      + +
      123 {
      +
      124 PenningTrap trap;
      +
      125 trap.add_particle(Particle(vec3{0., 0., 0.}, vec3{0., 0., 0.}));
      126
      -
      127 vec_3d expected{0., 0., 0.};
      -
      128 vec_3d result = trap.total_force_particles(0);
      +
      127 vec3 expected{0., 0., 0.};
      +
      128 vec3 result = trap.total_force_particles(0);
      129 ASSERT(close_to(expected, result),
      130 "Testing the total force of all particles on particle 0 "
      131 "with only a single particle");
      132
      -
      133 trap.add_particle(
      -
      134 Particle(1., 40., vec_3d{1., 0., 0.}, vec_3d{0., 0., 0.}));
      -
      135 trap.add_particle(
      -
      136 Particle(1., 40., vec_3d{0., 1., 0.}, vec_3d{0., 0., 0.}));
      -
      137 trap.add_particle(
      -
      138 Particle(1., 40., vec_3d{0., 0., 1.}, vec_3d{0., 0., 0.}));
      -
      139
      -
      140 expected = vec_3d().fill(-3473.383325);
      -
      141 result = trap.total_force_particles(0);
      -
      142 ASSERT(close_to(expected, result),
      -
      143 "Testing the total force of all particles on particle 0 "
      -
      144 "with 3 other particles.");
      -
      145 }
      -
      146};
      -
      147
      -
      148int main()
      -
      149{
      - - - - - -
      155 return 0;
      -
      156}
      +
      133 trap.add_particle(Particle(vec3{1., 0., 0.}, vec3{0., 0., 0.}));
      +
      134 trap.add_particle(Particle(vec3{0., 1., 0.}, vec3{0., 0., 0.}));
      +
      135 trap.add_particle(Particle(vec3{0., 0., 1.}, vec3{0., 0., 0.}));
      +
      136
      +
      137 expected = vec3().fill(-138935.333);
      +
      138 result = trap.total_force_particles(0);
      +
      139 ASSERT(close_to(expected, result),
      +
      140 "Testing the total force of all particles on particle 0 "
      +
      141 "with 3 other particles.");
      +
      142 }
      +
      143};
      +
      144
      +
      145int main()
      +
      146{
      +
      147 PenningTrapTest test;
      + + + + + +
      153 return 0;
      +
      154}
      A class for simulating a Penning trap.
      -
      A class that holds attributes of a particle.
      Definition: Particle.hpp:21
      -
      Test class for the Penning trap.
      Definition: test_suite.cpp:22
      -
      static void test_total_force_particles()
      Test that the total force of all particles on a single particle returns expected results.
      Definition: test_suite.cpp:121
      -
      static void test_external_E_field()
      Test that the external E field gives correct values.
      Definition: test_suite.cpp:26
      -
      static void test_external_B_field()
      Test that the external B field gives correct values.
      Definition: test_suite.cpp:65
      -
      static void test_force_on_particle()
      Test that the force between particles gives expected results.
      Definition: test_suite.cpp:78
      -
      static void test_total_force_external()
      Test that the total external force returns expected results.
      Definition: test_suite.cpp:105
      -
      A class that simulates a Penning trap.
      Definition: PenningTrap.hpp:31
      -
      vec_3d external_E_field(vec_3d r)
      Calculate E at point r.
      Definition: PenningTrap.cpp:84
      -
      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:79
      -
      vec_3d force_on_particle(unsigned int i, unsigned int j)
      Calculate the force between 2 particles.
      Definition: PenningTrap.cpp:97
      -
      vec_3d external_B_field(vec_3d r)
      Calculate B at point r.
      Definition: PenningTrap.cpp:92
      -
      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
      -
      arma::vec::fixed< 3 > vec_3d
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:36
      +
      A class that holds attributes of a particle.
      Definition: Particle.hpp:23
      +
      Test class for the Penning trap.
      Definition: test_suite.cpp:24
      +
      void test_force_on_particle()
      Test that the force between particles gives expected results.
      Definition: test_suite.cpp:80
      +
      void test_total_force_particles()
      Test that the total force of all particles on a single particle returns expected results.
      Definition: test_suite.cpp:122
      +
      void test_external_E_field()
      Test that the external E field gives correct values.
      Definition: test_suite.cpp:28
      +
      void test_external_B_field()
      Test that the external B field gives correct values.
      Definition: test_suite.cpp:66
      +
      void test_total_force_external()
      Test that the total external force returns expected results.
      Definition: test_suite.cpp:107
      +
      A class that simulates a Penning trap.
      Definition: PenningTrap.hpp:32
      +
      vec3 total_force_external(uint i)
      Calculate the total external force on a particle.
      +
      vec3 total_force_particles(uint i)
      Calculate the total force on a particle p_i from other particles.
      +
      vec3 external_B_field(vec3 r)
      Calculate B at point r.
      +
      vec3 external_E_field(vec3 r)
      Calculate E at point r.
      +
      void add_particle(Particle particle)
      Add a particle to the system.
      +
      vec3 force_on_particle(uint i, uint j)
      Calculate the force between 2 particles.
      +
      Library of constants.
      +
      #define T
      1 Tesla. unit:
      Definition: constants.hpp:21
      +
      arma::vec::fixed< 3 > vec3
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:23
      Function prototypes and macros that are useful.
      #define ASSERT(expr, msg)
      A prettier assertion function.
      Definition: utils.hpp:46
      -
      bool 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:60
      +
      bool 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:58
      diff --git a/docs/typedefs_8hpp.html b/docs/typedefs_8hpp.html index 1225a91..60e3c9c 100644 --- a/docs/typedefs_8hpp.html +++ b/docs/typedefs_8hpp.html @@ -120,18 +120,18 @@ Classes - - - - - - - + + + + + + + + + + - - - @@ -155,68 +155,68 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)

      Typedefs

      typedef std::vector< arma::vec::fixed< 3 > > sim_cols
       Typedef for the column of the result vector from simulating particles.
       
      typedef std::vector< arma::vec::fixed< 3 > > sim_rows
       Typedef for the row of the result vector from simulating particles.
       
      typedef std::vector< sim_colssim_arr
      typedef arma::vec::fixed< 3 > vec3
       Typedef for a fixed 3d arma vector.
       
      typedef std::vector< vec3sim_cols
       Typedef for the column of the result vector from simulating particles.
       
      typedef std::vector< vec3sim_rows
       Typedef for the row of the result vector from simulating particles.
       
      typedef std::vector< sim_colssim_arr
       Typedef for the result of the simulate method.
       
      typedef arma::vec::fixed< 3 > vec_3d
       Typedef for a fixed 3d arma vector.
       
      typedef struct simulation simulation_t
       Typedef for PenningTrap::simulation return value.
      - +
      typedef std::vector<sim_cols> sim_arrtypedef std::vector<sim_cols> sim_arr

      Typedef for the result of the simulate method.

      -

      Definition at line 32 of file typedefs.hpp.

      +

      Definition at line 36 of file typedefs.hpp.

      - -

      ◆ sim_cols

      + +

      ◆ sim_cols

      - +
      typedef std::vector<arma::vec::fixed<3> > sim_colstypedef std::vector<vec3> sim_cols

      Typedef for the column of the result vector from simulating particles.

      -

      Definition at line 24 of file typedefs.hpp.

      +

      Definition at line 28 of file typedefs.hpp.

      - -

      ◆ sim_rows

      + +

      ◆ sim_rows

      - +
      typedef std::vector<arma::vec::fixed<3> > sim_rowstypedef std::vector<vec3> sim_rows

      Typedef for the row of the result vector from simulating particles.

      -

      Definition at line 28 of file typedefs.hpp.

      +

      Definition at line 32 of file typedefs.hpp.

      - -

      ◆ vec_3d

      + +

      ◆ vec3

      - +
      typedef arma::vec::fixed<3> vec_3dtypedef arma::vec::fixed<3> vec3

      Typedef for a fixed 3d arma vector.

      -

      Definition at line 36 of file typedefs.hpp.

      +

      Definition at line 23 of file typedefs.hpp.

      diff --git a/docs/typedefs_8hpp.js b/docs/typedefs_8hpp.js index ddf845a..3b3b8bd 100644 --- a/docs/typedefs_8hpp.js +++ b/docs/typedefs_8hpp.js @@ -2,8 +2,8 @@ var typedefs_8hpp = [ [ "simulation", "structsimulation.html", null ], [ "sim_arr", "typedefs_8hpp.html#aec69d34220fff45de238b9e01f2686af", null ], - [ "sim_cols", "typedefs_8hpp.html#a7c2dfa854274262c4e00e4ef0ab2ce23", null ], - [ "sim_rows", "typedefs_8hpp.html#a8502989b1b361725834fc185bd575f66", null ], + [ "sim_cols", "typedefs_8hpp.html#a46482a2697556c00556c9d73f461784f", null ], + [ "sim_rows", "typedefs_8hpp.html#a33418f31f28663b8414c8f7182998c22", null ], [ "simulation_t", "typedefs_8hpp.html#a784799c37b5e4fb8bf4f6368e004dec6", null ], - [ "vec_3d", "typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df", null ] + [ "vec3", "typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea", null ] ]; \ No newline at end of file diff --git a/docs/typedefs_8hpp_source.html b/docs/typedefs_8hpp_source.html index b7cf904..3cb6d86 100644 --- a/docs/typedefs_8hpp_source.html +++ b/docs/typedefs_8hpp_source.html @@ -108,13 +108,13 @@ $(document).ready(function(){initNavTree('typedefs_8hpp_source.html',''); initRe
      18#include <armadillo>
      19#include <vector>
      20
      -
      24typedef std::vector<arma::vec::fixed<3>> sim_cols;
      -
      25
      -
      28typedef std::vector<arma::vec::fixed<3>> sim_rows;
      +
      23typedef arma::vec::fixed<3> vec3;
      +
      24
      +
      28typedef std::vector<vec3> sim_cols;
      29
      -
      32typedef std::vector<sim_cols> sim_arr;
      +
      32typedef std::vector<vec3> sim_rows;
      33
      -
      36typedef arma::vec::fixed<3> vec_3d;
      +
      36typedef std::vector<sim_cols> sim_arr;
      37
      40typedef struct simulation {
      41 sim_arr r_vecs;
      @@ -123,11 +123,11 @@ $(document).ready(function(){initNavTree('typedefs_8hpp_source.html',''); initRe
      44
      45#endif
      Typedef for PenningTrap::simulation return value.
      Definition: typedefs.hpp:40
      +
      std::vector< vec3 > sim_rows
      Typedef for the row of the result vector from simulating particles.
      Definition: typedefs.hpp:32
      +
      arma::vec::fixed< 3 > vec3
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:23
      +
      std::vector< vec3 > sim_cols
      Typedef for the column of the result vector from simulating particles.
      Definition: typedefs.hpp:28
      struct simulation simulation_t
      Typedef for PenningTrap::simulation return value.
      -
      std::vector< arma::vec::fixed< 3 > > sim_cols
      Typedef for the column of the result vector from simulating particles.
      Definition: typedefs.hpp:24
      -
      std::vector< arma::vec::fixed< 3 > > sim_rows
      Typedef for the row of the result vector from simulating particles.
      Definition: typedefs.hpp:28
      -
      arma::vec::fixed< 3 > vec_3d
      Typedef for a fixed 3d arma vector.
      Definition: typedefs.hpp:36
      -
      std::vector< sim_cols > sim_arr
      Typedef for the result of the simulate method.
      Definition: typedefs.hpp:32
      +
      std::vector< sim_cols > sim_arr
      Typedef for the result of the simulate method.
      Definition: typedefs.hpp:36
      diff --git a/docs/utils_8cpp.html b/docs/utils_8cpp.html index f76d7e7..d94bebf 100644 --- a/docs/utils_8cpp.html +++ b/docs/utils_8cpp.html @@ -182,7 +182,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      Returns
      bool
      -

      Definition at line 60 of file utils.cpp.

      +

      Definition at line 58 of file utils.cpp.

      @@ -250,7 +250,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws) -

      Definition at line 41 of file utils.cpp.

      +

      Definition at line 40 of file utils.cpp.

      @@ -291,7 +291,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      Returns
      bool Success/Fail
      -

      Definition at line 74 of file utils.cpp.

      +

      Definition at line 72 of file utils.cpp.

      diff --git a/docs/utils_8cpp_source.html b/docs/utils_8cpp_source.html index 24a0002..f124b46 100644 --- a/docs/utils_8cpp_source.html +++ b/docs/utils_8cpp_source.html @@ -124,73 +124,71 @@ $(document).ready(function(){initNavTree('utils_8cpp_source.html',''); initResiz
      32{
      33 if (msg.size() > 0) {
      34 std::cout << "message: " << msg << "\n\n";
      -
      35 }
      -
      36 else {
      -
      37 std::cout << "\n";
      -
      38 }
      -
      39}
      -
      40
      -
      41void m_assert(bool expr, std::string expr_str, std::string f, std::string file,
      -
      42 int line, std::string msg)
      -
      43{
      -
      44 std::string new_assert(f.size() + (expr ? 4 : 6), '-');
      -
      45 std::cout << "\x1B[36m" << new_assert << "\033[0m\n";
      -
      46 std::cout << f << ": ";
      -
      47 if (expr) {
      -
      48 std::cout << "\x1B[32mOK\033[0m\n";
      -
      49 print_message(msg);
      -
      50 }
      -
      51 else {
      -
      52 std::cout << "\x1B[31mFAIL\033[0m\n";
      -
      53 print_message(msg);
      -
      54 std::cout << file << " " << line << ": Assertion \"" << expr_str
      -
      55 << "\" Failed\n\n";
      -
      56 abort();
      -
      57 }
      -
      58}
      -
      59
      -
      60bool close_to(arma::vec &a, arma::vec &b, double tol)
      -
      61{
      -
      62 if (a.n_elem != b.n_elem) {
      -
      63 return false;
      -
      64 }
      -
      65
      -
      66 for (size_t i = 0; i < a.n_elem; i++) {
      -
      67 if (std::abs(a(i) - b(i)) >= tol) {
      -
      68 return false;
      -
      69 }
      -
      70 }
      -
      71 return true;
      -
      72}
      -
      73
      -
      74bool mkpath(std::string path, int mode)
      -
      75{
      -
      76 std::string cur_dir;
      -
      77 std::string::size_type pos = -1;
      -
      78 struct stat buf;
      -
      79
      -
      80 if (path.back() != '/') {
      -
      81 path += '/';
      -
      82 }
      -
      83 while (true) {
      -
      84 pos++;
      -
      85 pos = path.find('/', pos);
      -
      86 if (pos != std::string::npos) {
      -
      87 cur_dir = path.substr(0, pos);
      -
      88 if (mkdir(cur_dir.c_str(), mode) != 0 && stat(cur_dir.c_str(), &buf) != 0) {
      -
      89 return -1;
      -
      90 }
      -
      91 }
      -
      92 else {
      -
      93 break;
      -
      94 }
      -
      95 }
      -
      96 return 0;
      -
      97}
      -
      bool close_to(arma::vec &a, arma::vec &b, double tol)
      Test if two armadillo vectors are close to each other.
      Definition: utils.cpp:60
      +
      35 } else {
      +
      36 std::cout << "\n";
      +
      37 }
      +
      38}
      +
      39
      +
      40void m_assert(bool expr, std::string expr_str, std::string f, std::string file,
      +
      41 int line, std::string msg)
      +
      42{
      +
      43 std::string new_assert(f.size() + (expr ? 4 : 6), '-');
      +
      44 std::cout << "\x1B[36m" << new_assert << "\033[0m\n";
      +
      45 std::cout << f << ": ";
      +
      46 if (expr) {
      +
      47 std::cout << "\x1B[32mOK\033[0m\n";
      +
      48 print_message(msg);
      +
      49 } else {
      +
      50 std::cout << "\x1B[31mFAIL\033[0m\n";
      +
      51 print_message(msg);
      +
      52 std::cout << file << " " << line << ": Assertion \"" << expr_str
      +
      53 << "\" Failed\n\n";
      +
      54 abort();
      +
      55 }
      +
      56}
      +
      57
      +
      58bool close_to(arma::vec &a, arma::vec &b, double tol)
      +
      59{
      +
      60 if (a.n_elem != b.n_elem) {
      +
      61 return false;
      +
      62 }
      +
      63
      +
      64 for (size_t i = 0; i < a.n_elem; i++) {
      +
      65 if (std::abs(a(i) - b(i)) >= tol) {
      +
      66 return false;
      +
      67 }
      +
      68 }
      +
      69 return true;
      +
      70}
      +
      71
      +
      72bool mkpath(std::string path, int mode)
      +
      73{
      +
      74 std::string cur_dir;
      +
      75 std::string::size_type pos = -1;
      +
      76 struct stat buf;
      +
      77
      +
      78 if (path.back() != '/') {
      +
      79 path += '/';
      +
      80 }
      +
      81 while (true) {
      +
      82 pos++;
      +
      83 pos = path.find('/', pos);
      +
      84 if (pos != std::string::npos) {
      +
      85 cur_dir = path.substr(0, pos);
      +
      86 if (mkdir(cur_dir.c_str(), mode) != 0
      +
      87 && stat(cur_dir.c_str(), &buf) != 0) {
      +
      88 return -1;
      +
      89 }
      +
      90 } else {
      +
      91 break;
      +
      92 }
      +
      93 }
      +
      94 return 0;
      +
      95}
      +
      bool close_to(arma::vec &a, arma::vec &b, double tol)
      Test if two armadillo vectors are close to each other.
      Definition: utils.cpp:58
      std::string scientific_format(double d, int width, int prec)
      Turns a double into a string written in scientific format.
      Definition: utils.cpp:15
      -
      bool mkpath(std::string path, int mode)
      Make path given.
      Definition: utils.cpp:74
      -
      void m_assert(bool expr, std::string expr_str, std::string f, std::string file, int line, std::string msg)
      Test an expression, confirm that test is ok, or abort execution.
      Definition: utils.cpp:41
      +
      bool mkpath(std::string path, int mode)
      Make path given.
      Definition: utils.cpp:72
      +
      void m_assert(bool expr, std::string expr_str, std::string f, std::string file, int line, std::string msg)
      Test an expression, confirm that test is ok, or abort execution.
      Definition: utils.cpp:40
      Function prototypes and macros that are useful.
      diff --git a/docs/utils_8hpp.html b/docs/utils_8hpp.html index 129e846..44e8275 100644 --- a/docs/utils_8hpp.html +++ b/docs/utils_8hpp.html @@ -121,7 +121,7 @@ Macros #define DEBUG(msg)  Writes a debug message.
        -#define ASSERT(expr, msg) +#define ASSERT(expr, msg)    m_assert(expr, #expr, __METHOD_NAME__, __FILE__, __LINE__, msg)  A prettier assertion function.
        #define __METHOD_NAME__   methodName(__PRETTY_FUNCTION__) @@ -196,15 +196,11 @@ Janita Ovidie Sandtrøen Willumsen (janitaws) ) - +     m_assert(expr, #expr, __METHOD_NAME__, __FILE__, __LINE__, msg)
      -Value:
      m_assert(expr, #expr, __METHOD_NAME__, __FILE__, \
      -
      __LINE__, msg)
      -
      void m_assert(bool expr, std::string expr_str, std::string func, std::string file, int line, std::string msg)
      Test an expression, confirm that test is ok, or abort execution.
      Definition: utils.cpp:41
      -
      #define __METHOD_NAME__
      Get the name of the current method/function without the return type.
      Definition: utils.hpp:52
      -
      +

      A prettier assertion function.

      This macro calls the m_assert function which is a more informative assertion function than the regular assert function from cassert.

      @@ -280,7 +276,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      Returns
      bool
      -

      Definition at line 60 of file utils.cpp.

      +

      Definition at line 58 of file utils.cpp.

      @@ -348,7 +344,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws) -

      Definition at line 41 of file utils.cpp.

      +

      Definition at line 40 of file utils.cpp.

      @@ -389,7 +385,7 @@ Janita Ovidie Sandtrøen Willumsen (janitaws)
      Returns
      bool Success/Fail
      -

      Definition at line 74 of file utils.cpp.

      +

      Definition at line 72 of file utils.cpp.

      diff --git a/docs/utils_8hpp_source.html b/docs/utils_8hpp_source.html index 23a5d44..576b8d7 100644 --- a/docs/utils_8hpp_source.html +++ b/docs/utils_8hpp_source.html @@ -113,53 +113,42 @@ $(document).ready(function(){initNavTree('utils_8hpp_source.html',''); initResiz
      23#include <vector>
      24
      33#ifdef DBG
      -
      34 #define DEBUG(msg) std::cout << __FILE__ << " " << __LINE__ << ": " \
      -
      35 << msg << std::endl
      +
      34#define DEBUG(msg) \
      +
      35 std::cout << __FILE__ << " " << __LINE__ << ": " << msg << std::endl
      36#else
      -
      37 #define DEBUG(msg)
      +
      37#define DEBUG(msg)
      38#endif
      39
      -
      46#define ASSERT(expr, msg) m_assert(expr, #expr, __METHOD_NAME__, __FILE__, \
      -
      47 __LINE__, msg)
      +
      46#define ASSERT(expr, msg) \
      +
      47 m_assert(expr, #expr, __METHOD_NAME__, __FILE__, __LINE__, msg)
      48
      52#define __METHOD_NAME__ methodName(__PRETTY_FUNCTION__)
      53
      -
      54
      -
      65std::string scientific_format(double d, int width=20, int prec=10);
      -
      66
      -
      67
      -
      78std::string scientific_format(const std::vector<double>& v,
      -
      79 int width=20,
      -
      80 int prec=10);
      -
      81
      -
      82
      -
      95void m_assert(bool expr,
      -
      96 std::string expr_str,
      -
      97 std::string func,
      -
      98 std::string file,
      -
      99 int line,
      -
      100 std::string msg);
      -
      101
      -
      102
      -
      114bool close_to(arma::vec &a, arma::vec &b, double tol=1e-8);
      -
      115
      -
      116
      -
      127static inline std::string methodName(const std::string& pretty_function)
      -
      128{
      -
      129 size_t colons = pretty_function.find("::");
      -
      130 size_t begin = pretty_function.substr(0,colons).rfind(" ") + 1;
      -
      131 size_t end = pretty_function.rfind("(") - begin;
      -
      132
      -
      133 return pretty_function.substr(begin,end) + "()";
      -
      134}
      -
      135
      -
      136
      -
      147bool mkpath(std::string path, int mode = 0777);
      -
      148
      -
      149#endif
      -
      void m_assert(bool expr, std::string expr_str, std::string func, std::string file, int line, std::string msg)
      Test an expression, confirm that test is ok, or abort execution.
      Definition: utils.cpp:41
      -
      bool mkpath(std::string path, int mode=0777)
      Make path given.
      Definition: utils.cpp:74
      -
      bool 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:60
      +
      64std::string scientific_format(double d, int width = 20, int prec = 10);
      +
      65
      +
      77std::string scientific_format(const std::vector<double> &v, int width = 20,
      +
      78 int prec = 10);
      +
      79
      +
      92void m_assert(bool expr, std::string expr_str, std::string func,
      +
      93 std::string file, int line, std::string msg);
      +
      94
      +
      106bool close_to(arma::vec &a, arma::vec &b, double tol = 1e-8);
      +
      107
      +
      118static inline std::string methodName(const std::string &pretty_function)
      +
      119{
      +
      120 size_t colons = pretty_function.find("::");
      +
      121 size_t begin = pretty_function.substr(0, colons).rfind(" ") + 1;
      +
      122 size_t end = pretty_function.rfind("(") - begin;
      +
      123
      +
      124 return pretty_function.substr(begin, end) + "()";
      +
      125}
      +
      126
      +
      137bool mkpath(std::string path, int mode = 0777);
      +
      138
      +
      139#endif
      +
      void m_assert(bool expr, std::string expr_str, std::string func, std::string file, int line, std::string msg)
      Test an expression, confirm that test is ok, or abort execution.
      Definition: utils.cpp:40
      +
      bool mkpath(std::string path, int mode=0777)
      Make path given.
      Definition: utils.cpp:72
      +
      bool 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:58
      std::string scientific_format(double d, int width=20, int prec=10)
      Turns a double into a string written in scientific format.
      Definition: utils.cpp:15
      -- 2.20.1 From 9c4e99a327478cc99ecef8775142c1e59d247fb6 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:43:48 +0200 Subject: [PATCH 23/32] Comment options --- .clang-format | 39 +++++++++++++++++++++++++++++++++++++-- 1 file changed, 37 insertions(+), 2 deletions(-) diff --git a/.clang-format b/.clang-format index 749a98e..faa7019 100644 --- a/.clang-format +++ b/.clang-format @@ -1,9 +1,44 @@ +# Set the language to C++ +Language: Cpp + +# Set the language standard to C++11 +Standard: Cpp11 + +# Never use tab for indentation UseTab: Never + +# Set the indent width to be 4 columns IndentWidth: 4 + +# Set tab width to be 4 columns TabWidth: 4 + +# Set access modifier (public, private, protected) offset to indent left AccessModifierOffset: -4 + +# Stop indentation of access modifiers IndentAccessModifiers: false + +# Don't allow a function to be defined on a single line AllowShortFunctionsOnASingleLine: false -BreakBeforeBraces: Linux + +# Set the column limit to 80 characters +ColumnLimit: 80 + +# If an expression has to be split, then split before binary operators unless +# it's an assignment operator. BreakBeforeBinaryOperators: NonAssignment -ColumnLimit: 79 + +# Use a Linux style brace break. +# Break before braces on function, namespace and class definitions. +BreakBeforeBraces: Linux + + +# If true, spaces will be inserted after ( and before ). +SpacesInParentheses: false + +# If true, spaces will be inserted after [ and before ]. +SpacesInSquareBrackets: false + +# Separate definition blocks (classes, functions, structs, enums) +SeparateDefinitionBlocks: Always -- 2.20.1 From f1ca42fcf5f2a472561af5304c6d7fb3137b52b0 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:53:10 +0200 Subject: [PATCH 24/32] Rearrange implementations to match definitions --- src/PenningTrap.cpp | 96 ++++++++++++++++++++++----------------------- 1 file changed, 48 insertions(+), 48 deletions(-) diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index f045bae..1239be8 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -17,49 +17,6 @@ #include #include -PenningTrap::PenningTrap(double B_0, double V_0, double d, double t) -{ - this->B_0 = B_0; - this->V_0 = V_0; - this->d = d; - this->t = t; - this->perturbation = [](double t) { return 1.; }; -} - -PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t) - : PenningTrap::PenningTrap(B_0, V_0, d) -{ - for (size_t j = 0; j < i; j++) { - this->particles.push_back( - Particle(vec3(vec3().randn() * .1 * this->d), - vec3(vec3().randn() * .1 * this->d))); - } -} - -PenningTrap::PenningTrap(std::vector particles, double B_0, - double V_0, double d, double t) - : PenningTrap::PenningTrap(B_0, V_0, d) -{ - this->particles = particles; -} - -void PenningTrap::set_pertubation(double f, double omega_V) -{ - this->perturbation = [f, omega_V](double t) { - return 1 + f * std::cos(omega_V * t); - }; -} - -void PenningTrap::reinitialize(double f, double omega_V, double t) -{ - this->t = t; - this->set_pertubation(f, omega_V); - - for (size_t i = 0; i < this->particles.size(); i++) { - this->particles[i].r_vec = vec3().randn() * .1 * this->d; - } -} - vec3 PenningTrap::v_func(uint i, uint j, double dt) { switch (i) { @@ -98,11 +55,6 @@ vec3 PenningTrap::r_func(uint i, uint j, double dt) } } -void PenningTrap::add_particle(Particle particle) -{ - this->particles.push_back(particle); -} - vec3 PenningTrap::external_E_field(vec3 r) { r(2) *= -2.; @@ -160,6 +112,54 @@ vec3 PenningTrap::total_force(uint i) return vec3(this->total_force_external(i) - this->total_force_particles(i)); } +PenningTrap::PenningTrap(double B_0, double V_0, double d, double t) +{ + this->B_0 = B_0; + this->V_0 = V_0; + this->d = d; + this->t = t; + this->perturbation = [](double t) { return 1.; }; +} + +PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t) + : PenningTrap::PenningTrap(B_0, V_0, d) +{ + for (size_t j = 0; j < i; j++) { + this->particles.push_back( + Particle(vec3(vec3().randn() * .1 * this->d), + vec3(vec3().randn() * .1 * this->d))); + } +} + +PenningTrap::PenningTrap(std::vector particles, double B_0, + double V_0, double d, double t) + : PenningTrap::PenningTrap(B_0, V_0, d) +{ + this->particles = particles; +} + +void PenningTrap::set_pertubation(double f, double omega_V) +{ + this->perturbation = [f, omega_V](double t) { + return 1 + f * std::cos(omega_V * t); + }; +} + +void PenningTrap::reinitialize(double f, double omega_V, double t) +{ + this->t = t; + this->set_pertubation(f, omega_V); + + for (size_t i = 0; i < this->particles.size(); i++) { + this->particles[i].r_vec = vec3().randn() * .1 * this->d; + } +} + +void PenningTrap::add_particle(Particle particle) +{ + this->particles.push_back(particle); +} + void PenningTrap::evolve_RK4(double dt, bool particle_interaction) { -- 2.20.1 From 1eb386237a7bb91375ad4b461644e97ff7a98fb3 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 12:53:58 +0200 Subject: [PATCH 25/32] Update docs --- docs/PenningTrap_8cpp_source.html | 302 ++++++++++++++--------------- docs/PenningTrap_8hpp_source.html | 160 +++++++-------- docs/classPenningTrap-members.html | 2 +- docs/classPenningTrap.html | 57 +++--- docs/classPenningTrap.js | 1 + docs/functions.html | 1 + docs/functions_rela.html | 1 + docs/main_8cpp_source.html | 2 +- docs/navtreeindex0.js | 17 +- docs/search/all_9.js | 2 +- docs/search/related_0.js | 3 +- docs/test__suite_8cpp_source.html | 12 +- 12 files changed, 287 insertions(+), 273 deletions(-) diff --git a/docs/PenningTrap_8cpp_source.html b/docs/PenningTrap_8cpp_source.html index e974bfc..7a2c773 100644 --- a/docs/PenningTrap_8cpp_source.html +++ b/docs/PenningTrap_8cpp_source.html @@ -109,147 +109,147 @@ $(document).ready(function(){initNavTree('PenningTrap_8cpp_source.html',''); ini
      17#include <sys/types.h>
      18#include <vector>
      19
      -
      20PenningTrap::PenningTrap(double B_0, double V_0, double d, double t)
      +
      20vec3 PenningTrap::v_func(uint i, uint j, double dt)
      21{
      -
      22 this->B_0 = B_0;
      -
      23 this->V_0 = V_0;
      -
      24 this->d = d;
      -
      25 this->t = t;
      -
      26 this->perturbation = [](double t) { return 1.; };
      -
      27}
      -
      28
      -
      29PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t)
      -
      30 : PenningTrap::PenningTrap(B_0, V_0, d)
      -
      31{
      -
      32 for (size_t j = 0; j < i; j++) {
      -
      33 this->particles.push_back(
      -
      34 Particle(vec3(vec3().randn() * .1 * this->d),
      -
      35 vec3(vec3().randn() * .1 * this->d)));
      +
      22 switch (i) {
      +
      23 case 0:
      +
      24 return .5 * dt * this->k_v[0][j];
      +
      25 case 1:
      +
      26 return .5 * dt * this->k_v[1][j];
      +
      27 case 2:
      +
      28 return dt * this->k_v[2][j];
      +
      29 case 3:
      +
      30 return vec3((dt / 6.)
      +
      31 * (this->k_v[0][j] + 2. * this->k_v[1][j]
      +
      32 + 2. * this->k_v[2][j] + this->k_v[3][j]));
      +
      33 default:
      +
      34 std::cout << "Not valid!" << std::endl;
      +
      35 abort();
      36 }
      37}
      38
      -
      39PenningTrap::PenningTrap(std::vector<Particle> particles, double B_0,
      -
      40 double V_0, double d, double t)
      -
      41 : PenningTrap::PenningTrap(B_0, V_0, d)
      -
      42{
      -
      43 this->particles = particles;
      -
      44}
      -
      45
      -
      46void PenningTrap::set_pertubation(double f, double omega_V)
      -
      47{
      -
      48 this->perturbation = [f, omega_V](double t) {
      -
      49 return 1 + f * std::cos(omega_V * t);
      -
      50 };
      -
      51}
      -
      52
      -
      53void PenningTrap::reinitialize(double f, double omega_V, double t)
      -
      54{
      -
      55 this->t = t;
      -
      56 this->set_pertubation(f, omega_V);
      +
      39vec3 PenningTrap::r_func(uint i, uint j, double dt)
      +
      40{
      +
      41 switch (i) {
      +
      42 case 0:
      +
      43 return .5 * dt * this->k_r[0][j];
      +
      44 case 1:
      +
      45 return .5 * dt * this->k_r[1][j];
      +
      46 case 2:
      +
      47 return dt * this->k_r[2][j];
      +
      48 case 3:
      +
      49 return vec3((dt / 6.)
      +
      50 * (this->k_r[0][j] + 2. * this->k_r[1][j]
      +
      51 + 2. * this->k_r[2][j] + this->k_r[3][j]));
      +
      52 default:
      +
      53 std::cout << "Not valid!" << std::endl;
      +
      54 abort();
      +
      55 }
      +
      56}
      57
      -
      58 for (size_t i = 0; i < this->particles.size(); i++) {
      -
      59 this->particles[i].r_vec = vec3().randn() * .1 * this->d;
      -
      60 }
      -
      61}
      -
      62
      -
      63vec3 PenningTrap::v_func(uint i, uint j, double dt)
      -
      64{
      -
      65 switch (i) {
      -
      66 case 0:
      -
      67 return .5 * dt * this->k_v[0][j];
      -
      68 case 1:
      -
      69 return .5 * dt * this->k_v[1][j];
      -
      70 case 2:
      -
      71 return dt * this->k_v[2][j];
      -
      72 case 3:
      -
      73 return vec3((dt / 6.)
      -
      74 * (this->k_v[0][j] + 2. * this->k_v[1][j]
      -
      75 + 2. * this->k_v[2][j] + this->k_v[3][j]));
      -
      76 default:
      -
      77 std::cout << "Not valid!" << std::endl;
      -
      78 abort();
      -
      79 }
      + +
      59{
      +
      60 r(2) *= -2.;
      +
      61
      +
      62 return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d))
      +
      63 * r);
      +
      64}
      +
      65
      + +
      67{
      +
      68 return vec3{0., 0., this->B_0};
      +
      69}
      +
      70
      + +
      72{
      +
      73 // Calculate the difference between the particles' position
      +
      74 vec3 res = this->particles[i].r_vec - this->particles[j].r_vec;
      +
      75
      +
      76 // Get the distance between the particles
      +
      77 double norm = arma::norm(res, 2);
      +
      78
      +
      79 return vec3((this->particles[j].q / (norm * norm * norm)) * res);
      80}
      81
      -
      82vec3 PenningTrap::r_func(uint i, uint j, double dt)
      +
      83{
      -
      84 switch (i) {
      -
      85 case 0:
      -
      86 return .5 * dt * this->k_r[0][j];
      -
      87 case 1:
      -
      88 return .5 * dt * this->k_r[1][j];
      -
      89 case 2:
      -
      90 return dt * this->k_r[2][j];
      -
      91 case 3:
      -
      92 return vec3((dt / 6.)
      -
      93 * (this->k_r[0][j] + 2. * this->k_r[1][j]
      -
      94 + 2. * this->k_r[2][j] + this->k_r[3][j]));
      -
      95 default:
      -
      96 std::cout << "Not valid!" << std::endl;
      -
      97 abort();
      -
      98 }
      -
      99}
      -
      100
      - -
      102{
      -
      103 this->particles.push_back(particle);
      -
      104}
      -
      105
      - -
      107{
      -
      108 r(2) *= -2.;
      -
      109
      -
      110 return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d))
      -
      111 * r);
      -
      112}
      -
      113
      - -
      115{
      -
      116 return vec3{0., 0., this->B_0};
      -
      117}
      -
      118
      - -
      120{
      -
      121 // Calculate the difference between the particles' position
      -
      122 vec3 res = this->particles[i].r_vec - this->particles[j].r_vec;
      +
      84 Particle *p = &this->particles[i];
      +
      85
      +
      86 if (arma::norm(p->r_vec) > this->d) {
      +
      87 return vec3{0., 0., 0.};
      +
      88 }
      +
      89
      +
      90 return vec3(p->q
      +
      91 * (this->external_E_field(p->r_vec)
      +
      92 + arma::cross(p->v_vec, this->external_B_field(p->r_vec))));
      +
      93}
      +
      94
      + +
      96{
      +
      97 vec3 res;
      +
      98
      +
      99 for (size_t j = 0; j < this->particles.size(); j++) {
      +
      100 if (i != j)
      +
      101 res += this->force_on_particle(i, j);
      +
      102 }
      +
      103
      +
      104 return vec3(res * (K_E * this->particles[i].q));
      +
      105}
      +
      106
      + +
      108{
      +
      109 if (arma::norm(this->particles[i].r_vec) > this->d) {
      +
      110 return vec3{0., 0., 0.};
      +
      111 }
      +
      112 return vec3(this->total_force_external(i) - this->total_force_particles(i));
      +
      113}
      +
      114
      +
      115PenningTrap::PenningTrap(double B_0, double V_0, double d, double t)
      +
      116{
      +
      117 this->B_0 = B_0;
      +
      118 this->V_0 = V_0;
      +
      119 this->d = d;
      +
      120 this->t = t;
      +
      121 this->perturbation = [](double t) { return 1.; };
      +
      122}
      123
      -
      124 // Get the distance between the particles
      -
      125 double norm = arma::norm(res, 2);
      -
      126
      -
      127 return vec3((this->particles[j].q / (norm * norm * norm)) * res);
      -
      128}
      -
      129
      - -
      131{
      -
      132 Particle *p = &this->particles[i];
      +
      124PenningTrap::PenningTrap(uint i, double B_0, double V_0, double d, double t)
      +
      125 : PenningTrap::PenningTrap(B_0, V_0, d)
      +
      126{
      +
      127 for (size_t j = 0; j < i; j++) {
      +
      128 this->particles.push_back(
      +
      129 Particle(vec3(vec3().randn() * .1 * this->d),
      +
      130 vec3(vec3().randn() * .1 * this->d)));
      +
      131 }
      +
      132}
      133
      -
      134 if (arma::norm(p->r_vec) > this->d) {
      -
      135 return vec3{0., 0., 0.};
      -
      136 }
      -
      137
      -
      138 return vec3(p->q
      -
      139 * (this->external_E_field(p->r_vec)
      -
      140 + arma::cross(p->v_vec, this->external_B_field(p->r_vec))));
      -
      141}
      -
      142
      - -
      144{
      -
      145 vec3 res;
      -
      146
      -
      147 for (size_t j = 0; j < this->particles.size(); j++) {
      -
      148 if (i != j)
      -
      149 res += this->force_on_particle(i, j);
      -
      150 }
      -
      151
      -
      152 return vec3(res * (K_E * this->particles[i].q));
      -
      153}
      -
      154
      - -
      156{
      -
      157 if (arma::norm(this->particles[i].r_vec) > this->d) {
      -
      158 return vec3{0., 0., 0.};
      -
      159 }
      -
      160 return vec3(this->total_force_external(i) - this->total_force_particles(i));
      +
      134PenningTrap::PenningTrap(std::vector<Particle> particles, double B_0,
      +
      135 double V_0, double d, double t)
      +
      136 : PenningTrap::PenningTrap(B_0, V_0, d)
      +
      137{
      +
      138 this->particles = particles;
      +
      139}
      +
      140
      +
      141void PenningTrap::set_pertubation(double f, double omega_V)
      +
      142{
      +
      143 this->perturbation = [f, omega_V](double t) {
      +
      144 return 1 + f * std::cos(omega_V * t);
      +
      145 };
      +
      146}
      +
      147
      +
      148void PenningTrap::reinitialize(double f, double omega_V, double t)
      +
      149{
      +
      150 this->t = t;
      +
      151 this->set_pertubation(f, omega_V);
      +
      152
      +
      153 for (size_t i = 0; i < this->particles.size(); i++) {
      +
      154 this->particles[i].r_vec = vec3().randn() * .1 * this->d;
      +
      155 }
      +
      156}
      +
      157
      + +
      159{
      +
      160 this->particles.push_back(particle);
      161}
      162
      163void PenningTrap::evolve_RK4(double dt, bool particle_interaction)
      @@ -424,31 +424,31 @@ $(document).ready(function(){initNavTree('PenningTrap_8cpp_source.html',''); ini
      vec3 v_vec
      velocity
      Definition: Particle.hpp:26
      double q
      Charge.
      Definition: Particle.hpp:27
      A class that simulates a Penning trap.
      Definition: PenningTrap.hpp:32
      -
      std::vector< Particle > particles
      The particles in the Penning trap.
      Definition: PenningTrap.hpp:39
      -
      double B_0
      Magnetic field strength.
      Definition: PenningTrap.hpp:34
      -
      vec3 total_force_external(uint i)
      Calculate the total external force on a particle.
      -
      sim_arr k_r
      Definition: PenningTrap.hpp:42
      -
      vec3 total_force_particles(uint i)
      Calculate the total force on a particle p_i from other particles.
      -
      vec3 external_B_field(vec3 r)
      Calculate B at point r.
      +
      std::vector< Particle > particles
      The particles in the Penning trap.
      Definition: PenningTrap.hpp:42
      +
      double B_0
      Magnetic field strength.
      Definition: PenningTrap.hpp:37
      +
      vec3 total_force_external(uint i)
      Calculate the total external force on a particle.
      Definition: PenningTrap.cpp:82
      +
      sim_arr k_r
      A 2D vector containing all where is the index of a particle.
      Definition: PenningTrap.hpp:52
      +
      vec3 total_force_particles(uint i)
      Calculate the total force on a particle p_i from other particles.
      Definition: PenningTrap.cpp:95
      +
      vec3 external_B_field(vec3 r)
      Calculate B at point r.
      Definition: PenningTrap.cpp:66
      void evolve_RK4(double dt, bool particle_interaction=true)
      Go forward one timestep using the RK4 method.
      -
      vec3 v_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:63
      -
      vec3 external_E_field(vec3 r)
      Calculate E at point r.
      -
      PenningTrap(double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
      Constructor for the PenningTrap class.
      Definition: PenningTrap.cpp:20
      -
      double d
      Characteristic dimension.
      Definition: PenningTrap.hpp:37
      -
      void add_particle(Particle particle)
      Add a particle to the system.
      -
      double V_0
      Applied potential.
      Definition: PenningTrap.hpp:35
      +
      vec3 v_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:20
      +
      vec3 external_E_field(vec3 r)
      Calculate E at point r.
      Definition: PenningTrap.cpp:58
      +
      PenningTrap(double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)
      Constructor for the PenningTrap class.
      +
      double d
      Characteristic dimension.
      Definition: PenningTrap.hpp:40
      +
      void add_particle(Particle particle)
      Add a particle to the system.
      +
      double V_0
      Applied potential.
      Definition: PenningTrap.hpp:38
      simulation_t simulate(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate the particle system inside the Penning trap over a certain amount of time.
      -
      vec3 force_on_particle(uint i, uint j)
      Calculate the force between 2 particles.
      -
      vec3 r_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:82
      -
      double t
      Current time.
      Definition: PenningTrap.hpp:38
      -
      vec3 total_force(uint i)
      calculate the total force on a particle p_i.
      -
      void set_pertubation(double f, double omega_V)
      Time dependent perturbation to V_0.
      Definition: PenningTrap.cpp:46
      -
      void reinitialize(double f, double omega_V, double t=0.)
      Give all particles new positions and velocities, and change t and V_0.
      Definition: PenningTrap.cpp:53
      +
      vec3 force_on_particle(uint i, uint j)
      Calculate the force between 2 particles.
      Definition: PenningTrap.cpp:71
      +
      vec3 r_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:39
      +
      double t
      Current time.
      Definition: PenningTrap.hpp:41
      +
      vec3 total_force(uint i)
      calculate the total force on a particle p_i.
      +
      void set_pertubation(double f, double omega_V)
      Time dependent perturbation to V_0.
      +
      void reinitialize(double f, double omega_V, double t=0.)
      Give all particles new positions and velocities, and change t and V_0.
      void evolve_forward_euler(double dt, bool particle_interaction=true)
      Go forward one timestep using the forward Euler method.
      double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
      void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and write the displacement of all particles to files.
      -
      std::function< double(double)> perturbation
      Time-dependent perturbation.
      Definition: PenningTrap.hpp:36
      -
      sim_arr k_v
      Definition: PenningTrap.hpp:40
      +
      std::function< double(double)> perturbation
      Time-dependent perturbation.
      Definition: PenningTrap.hpp:39
      +
      sim_arr k_v
      A 2D vector containing all where is the index of a particle.
      Definition: PenningTrap.hpp:47
      #define K_E
      Coulomb constant. unit: .
      Definition: constants.hpp:17
      Typedef for PenningTrap::simulation return value.
      Definition: typedefs.hpp:40
      Useful typedefs for cleaner code.
      diff --git a/docs/PenningTrap_8hpp_source.html b/docs/PenningTrap_8hpp_source.html index fab595d..50f6910 100644 --- a/docs/PenningTrap_8hpp_source.html +++ b/docs/PenningTrap_8hpp_source.html @@ -118,95 +118,97 @@ $(document).ready(function(){initNavTree('PenningTrap_8hpp_source.html',''); ini
      25
      32{
      -
      33private:
      -
      34 double B_0;
      -
      35 double V_0;
      -
      36 std::function<double(double)> perturbation;
      -
      37 double d;
      -
      38 double t;
      -
      39 std::vector<Particle> particles;
      - - -
      44
      -
      55 vec3 v_func(uint i, uint j, double dt);
      -
      56
      -
      67 vec3 r_func(uint i, uint j, double dt);
      -
      68
      - -
      76
      - -
      84
      -
      95 vec3 force_on_particle(uint i, uint j);
      -
      96
      - -
      107
      - +
      35 friend class PenningTrapTest;
      +
      36private:
      +
      37 double B_0;
      +
      38 double V_0;
      +
      39 std::function<double(double)> perturbation;
      +
      40 double d;
      +
      41 double t;
      +
      42 std::vector<Particle> particles;
      +
      43
      + +
      48
      + +
      53
      +
      64 vec3 v_func(uint i, uint j, double dt);
      +
      65
      +
      76 vec3 r_func(uint i, uint j, double dt);
      +
      77
      + +
      85
      + +
      93
      +
      104 vec3 force_on_particle(uint i, uint j);
      +
      105
      +
      116
      -
      123 vec3 total_force(uint i);
      -
      124
      -
      125public:
      -
      133 PenningTrap(double B_0 = T, double V_0 = (25. * V) / 1000., double d = 500.,
      -
      134 double t = 0.);
      -
      135
      -
      144 PenningTrap(uint i, double B_0 = T, double V_0 = (25. * V) / 1000.,
      -
      145 double d = 500., double t = 0.);
      -
      146
      -
      155 PenningTrap(std::vector<Particle> particles, double B_0 = T,
      -
      156 double V_0 = (25. * V) / 1000., double d = 500., double t = 0.);
      -
      157
      -
      163 void set_pertubation(double f, double omega_V);
      -
      164
      -
      171 void reinitialize(double f, double omega_V, double t = 0.);
      -
      172
      -
      177 void add_particle(Particle particle);
      -
      178
      -
      184 void evolve_RK4(double dt, bool particle_interaction = true);
      -
      185
      -
      191 void evolve_forward_euler(double dt, bool particle_interaction = true);
      -
      192
      -
      203 simulation_t simulate(double time, uint steps, std::string method = "rk4",
      -
      204 bool particle_interaction = true);
      -
      205
      -
      214 void write_simulation_to_dir(std::string path, double time, uint steps,
      -
      215 std::string method = "rk4",
      -
      216 bool particle_interaction = true);
      -
      217
      -
      228 double fraction_of_particles_left(double time, uint steps,
      -
      229 std::string method = "rk4",
      -
      230 bool particle_interaction = true);
      -
      231
      -
      232 friend class PenningTrapTest;
      -
      233};
      -
      234
      -
      235#endif
      + +
      125
      +
      132 vec3 total_force(uint i);
      +
      133
      +
      134public:
      +
      142 PenningTrap(double B_0 = T, double V_0 = (25. * V) / 1000., double d = 500.,
      +
      143 double t = 0.);
      +
      144
      +
      153 PenningTrap(uint i, double B_0 = T, double V_0 = (25. * V) / 1000.,
      +
      154 double d = 500., double t = 0.);
      +
      155
      +
      164 PenningTrap(std::vector<Particle> particles, double B_0 = T,
      +
      165 double V_0 = (25. * V) / 1000., double d = 500., double t = 0.);
      +
      166
      +
      172 void set_pertubation(double f, double omega_V);
      +
      173
      +
      180 void reinitialize(double f, double omega_V, double t = 0.);
      +
      181
      +
      186 void add_particle(Particle particle);
      +
      187
      +
      193 void evolve_RK4(double dt, bool particle_interaction = true);
      +
      194
      +
      200 void evolve_forward_euler(double dt, bool particle_interaction = true);
      +
      201
      +
      212 simulation_t simulate(double time, uint steps, std::string method = "rk4",
      +
      213 bool particle_interaction = true);
      +
      214
      +
      223 void write_simulation_to_dir(std::string path, double time, uint steps,
      +
      224 std::string method = "rk4",
      +
      225 bool particle_interaction = true);
      +
      226
      +
      237 double fraction_of_particles_left(double time, uint steps,
      +
      238 std::string method = "rk4",
      +
      239 bool particle_interaction = true);
      +
      240
      +
      241};
      +
      242
      +
      243#endif
      A class that holds the properties of a particle.
      A class that holds attributes of a particle.
      Definition: Particle.hpp:23
      Test class for the Penning trap.
      Definition: test_suite.cpp:24
      A class that simulates a Penning trap.
      Definition: PenningTrap.hpp:32
      -
      std::vector< Particle > particles
      The particles in the Penning trap.
      Definition: PenningTrap.hpp:39
      -
      double B_0
      Magnetic field strength.
      Definition: PenningTrap.hpp:34
      -
      vec3 total_force_external(uint i)
      Calculate the total external force on a particle.
      -
      sim_arr k_r
      Definition: PenningTrap.hpp:42
      -
      vec3 total_force_particles(uint i)
      Calculate the total force on a particle p_i from other particles.
      -
      vec3 external_B_field(vec3 r)
      Calculate B at point r.
      +
      std::vector< Particle > particles
      The particles in the Penning trap.
      Definition: PenningTrap.hpp:42
      +
      double B_0
      Magnetic field strength.
      Definition: PenningTrap.hpp:37
      +
      vec3 total_force_external(uint i)
      Calculate the total external force on a particle.
      Definition: PenningTrap.cpp:82
      +
      sim_arr k_r
      A 2D vector containing all where is the index of a particle.
      Definition: PenningTrap.hpp:52
      +
      vec3 total_force_particles(uint i)
      Calculate the total force on a particle p_i from other particles.
      Definition: PenningTrap.cpp:95
      +
      vec3 external_B_field(vec3 r)
      Calculate B at point r.
      Definition: PenningTrap.cpp:66
      void evolve_RK4(double dt, bool particle_interaction=true)
      Go forward one timestep using the RK4 method.
      -
      vec3 v_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:63
      -
      vec3 external_E_field(vec3 r)
      Calculate E at point r.
      -
      double d
      Characteristic dimension.
      Definition: PenningTrap.hpp:37
      -
      void add_particle(Particle particle)
      Add a particle to the system.
      -
      double V_0
      Applied potential.
      Definition: PenningTrap.hpp:35
      +
      vec3 v_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:20
      +
      vec3 external_E_field(vec3 r)
      Calculate E at point r.
      Definition: PenningTrap.cpp:58
      +
      double d
      Characteristic dimension.
      Definition: PenningTrap.hpp:40
      +
      void add_particle(Particle particle)
      Add a particle to the system.
      +
      double V_0
      Applied potential.
      Definition: PenningTrap.hpp:38
      simulation_t simulate(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate the particle system inside the Penning trap over a certain amount of time.
      -
      vec3 force_on_particle(uint i, uint j)
      Calculate the force between 2 particles.
      -
      vec3 r_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:82
      -
      double t
      Current time.
      Definition: PenningTrap.hpp:38
      -
      vec3 total_force(uint i)
      calculate the total force on a particle p_i.
      -
      void set_pertubation(double f, double omega_V)
      Time dependent perturbation to V_0.
      Definition: PenningTrap.cpp:46
      -
      void reinitialize(double f, double omega_V, double t=0.)
      Give all particles new positions and velocities, and change t and V_0.
      Definition: PenningTrap.cpp:53
      +
      vec3 force_on_particle(uint i, uint j)
      Calculate the force between 2 particles.
      Definition: PenningTrap.cpp:71
      +
      vec3 r_func(uint i, uint j, double dt)
      Helper for evolve_RK4 when calculating values.
      Definition: PenningTrap.cpp:39
      +
      double t
      Current time.
      Definition: PenningTrap.hpp:41
      +
      vec3 total_force(uint i)
      calculate the total force on a particle p_i.
      +
      void set_pertubation(double f, double omega_V)
      Time dependent perturbation to V_0.
      +
      void reinitialize(double f, double omega_V, double t=0.)
      Give all particles new positions and velocities, and change t and V_0.
      void evolve_forward_euler(double dt, bool particle_interaction=true)
      Go forward one timestep using the forward Euler method.
      double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
      void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
      Simulate and write the displacement of all particles to files.
      -
      std::function< double(double)> perturbation
      Time-dependent perturbation.
      Definition: PenningTrap.hpp:36
      -
      sim_arr k_v
      Definition: PenningTrap.hpp:40
      +
      std::function< double(double)> perturbation
      Time-dependent perturbation.
      Definition: PenningTrap.hpp:39
      +
      sim_arr k_v
      A 2D vector containing all where is the index of a particle.
      Definition: PenningTrap.hpp:47
      Library of constants.
      #define T
      1 Tesla. unit:
      Definition: constants.hpp:21
      #define V
      1 Volt. unit:
      Definition: constants.hpp:25
      diff --git a/docs/classPenningTrap-members.html b/docs/classPenningTrap-members.html index d4bca01..f7e9ce3 100644 --- a/docs/classPenningTrap-members.html +++ b/docs/classPenningTrap-members.html @@ -119,7 +119,7 @@ $(document).ready(function(){initNavTree('classPenningTrap.html',''); initResiza PenningTrap(double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap PenningTrap(uint i, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap PenningTrap(std::vector< Particle > particles, double B_0=T, double V_0=(25. *V)/1000., double d=500., double t=0.)PenningTrap - PenningTrapTest (defined in PenningTrap)PenningTrapfriend + PenningTrapTestPenningTrapfriend perturbationPenningTrapprivate r_func(uint i, uint j, double dt)PenningTrapprivate reinitialize(double f, double omega_V, double t=0.)PenningTrap diff --git a/docs/classPenningTrap.html b/docs/classPenningTrap.html index 9be2e3b..3cac359 100644 --- a/docs/classPenningTrap.html +++ b/docs/classPenningTrap.html @@ -197,13 +197,16 @@ Private Attributes  The particles in the Penning trap.
        sim_arr k_v + A 2D vector containing all \(k_{v,i,j}\) where \(j\) is the index of a particle.
        sim_arr k_r + A 2D vector containing all \(k_{r,i,j}\) where \(j\) is the index of a particle.
        +

      Friends

      class PenningTrapTest
       Make PenningTrapTest a friend of PenningTrap.
       

      Detailed Description

      @@ -261,7 +264,7 @@ Friends -

      Definition at line 20 of file PenningTrap.cpp.

      +

      Definition at line 115 of file PenningTrap.cpp.

      @@ -321,7 +324,7 @@ Friends -

      Definition at line 29 of file PenningTrap.cpp.

      +

      Definition at line 124 of file PenningTrap.cpp.

      @@ -381,7 +384,7 @@ Friends -

      Definition at line 39 of file PenningTrap.cpp.

      +

      Definition at line 134 of file PenningTrap.cpp.

      @@ -410,7 +413,7 @@ Friends -

      Definition at line 101 of file PenningTrap.cpp.

      +

      Definition at line 158 of file PenningTrap.cpp.

      @@ -525,7 +528,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 114 of file PenningTrap.cpp.

      +

      Definition at line 66 of file PenningTrap.cpp.

      @@ -562,7 +565,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 106 of file PenningTrap.cpp.

      +

      Definition at line 58 of file PenningTrap.cpp.

      @@ -611,7 +614,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 119 of file PenningTrap.cpp.

      +

      Definition at line 71 of file PenningTrap.cpp.

      @@ -721,7 +724,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 82 of file PenningTrap.cpp.

      +

      Definition at line 39 of file PenningTrap.cpp.

      @@ -766,7 +769,7 @@ Friends -

      Definition at line 53 of file PenningTrap.cpp.

      +

      Definition at line 148 of file PenningTrap.cpp.

      @@ -804,7 +807,7 @@ Friends -

      Definition at line 46 of file PenningTrap.cpp.

      +

      Definition at line 141 of file PenningTrap.cpp.

      @@ -895,7 +898,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 155 of file PenningTrap.cpp.

      +

      Definition at line 107 of file PenningTrap.cpp.

      @@ -933,7 +936,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 130 of file PenningTrap.cpp.

      +

      Definition at line 82 of file PenningTrap.cpp.

      @@ -970,7 +973,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 143 of file PenningTrap.cpp.

      +

      Definition at line 95 of file PenningTrap.cpp.

      @@ -1026,7 +1029,7 @@ Friends
      Returns
      vec3
      -

      Definition at line 63 of file PenningTrap.cpp.

      +

      Definition at line 20 of file PenningTrap.cpp.

      @@ -1111,7 +1114,9 @@ Friends
      -

      Definition at line 232 of file PenningTrap.hpp.

      +

      Make PenningTrapTest a friend of PenningTrap.

      + +

      Definition at line 35 of file PenningTrap.hpp.

      @@ -1138,7 +1143,7 @@ Friends

      Magnetic field strength.

      -

      Definition at line 34 of file PenningTrap.hpp.

      +

      Definition at line 37 of file PenningTrap.hpp.

      @@ -1164,7 +1169,7 @@ Friends

      Characteristic dimension.

      -

      Definition at line 37 of file PenningTrap.hpp.

      +

      Definition at line 40 of file PenningTrap.hpp.

      @@ -1187,9 +1192,10 @@ Friends
      -

      A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle

      -

      Definition at line 42 of file PenningTrap.hpp.

      +

      A 2D vector containing all \(k_{r,i,j}\) where \(j\) is the index of a particle.

      + +

      Definition at line 52 of file PenningTrap.hpp.

      @@ -1212,9 +1218,10 @@ Friends
      -

      A 2D vector containing all \(k_{i,j}\) where \(j\) is the index of a particle

      -

      Definition at line 40 of file PenningTrap.hpp.

      +

      A 2D vector containing all \(k_{v,i,j}\) where \(j\) is the index of a particle.

      + +

      Definition at line 47 of file PenningTrap.hpp.

      @@ -1240,7 +1247,7 @@ Friends

      The particles in the Penning trap.

      -

      Definition at line 39 of file PenningTrap.hpp.

      +

      Definition at line 42 of file PenningTrap.hpp.

      @@ -1266,7 +1273,7 @@ Friends

      Time-dependent perturbation.

      -

      Definition at line 36 of file PenningTrap.hpp.

      +

      Definition at line 39 of file PenningTrap.hpp.

      @@ -1292,7 +1299,7 @@ Friends

      Current time.

      -

      Definition at line 38 of file PenningTrap.hpp.

      +

      Definition at line 41 of file PenningTrap.hpp.

      @@ -1318,7 +1325,7 @@ Friends

      Applied potential.

      -

      Definition at line 35 of file PenningTrap.hpp.

      +

      Definition at line 38 of file PenningTrap.hpp.

      diff --git a/docs/classPenningTrap.js b/docs/classPenningTrap.js index 987c84c..6e5d013 100644 --- a/docs/classPenningTrap.js +++ b/docs/classPenningTrap.js @@ -19,6 +19,7 @@ var classPenningTrap = [ "total_force_particles", "classPenningTrap.html#a2fe1cefbae18fa5808155ee0d2df713c", null ], [ "v_func", "classPenningTrap.html#a3c0a44e4e0a94366ff609e81fe463fa2", null ], [ "write_simulation_to_dir", "classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b", null ], + [ "PenningTrapTest", "classPenningTrap.html#a869f032f37d0569ed16f224b4c4356ae", null ], [ "B_0", "classPenningTrap.html#a0cac3509aa96e71a26d3b2c902e27716", null ], [ "d", "classPenningTrap.html#a66dfe89c68716b9502927b97f59c27d2", null ], [ "k_r", "classPenningTrap.html#a2f168622587709b9e3c49077f0b9a640", null ], diff --git a/docs/functions.html b/docs/functions.html index c2f9801..86b463b 100644 --- a/docs/functions.html +++ b/docs/functions.html @@ -144,6 +144,7 @@ $(document).ready(function(){initNavTree('functions.html',''); initResizable();
    • Particle() : Particle
    • particles : PenningTrap
    • PenningTrap : Particle, PenningTrap
    • +
    • PenningTrapTest : PenningTrap
    • perturbation : PenningTrap
    diff --git a/docs/functions_rela.html b/docs/functions_rela.html index 81a1c72..ab3c3e5 100644 --- a/docs/functions_rela.html +++ b/docs/functions_rela.html @@ -100,6 +100,7 @@ $(document).ready(function(){initNavTree('functions_rela.html',''); initResizabl
     
    diff --git a/docs/main_8cpp_source.html b/docs/main_8cpp_source.html index cbf1d30..ecc9633 100644 --- a/docs/main_8cpp_source.html +++ b/docs/main_8cpp_source.html @@ -423,7 +423,7 @@ $(document).ready(function(){initNavTree('main_8cpp_source.html',''); initResiza
    A class for simulating a Penning trap.
    A class that holds attributes of a particle.
    Definition: Particle.hpp:23
    A class that simulates a Penning trap.
    Definition: PenningTrap.hpp:32
    -
    void reinitialize(double f, double omega_V, double t=0.)
    Give all particles new positions and velocities, and change t and V_0.
    Definition: PenningTrap.cpp:53
    +
    void reinitialize(double f, double omega_V, double t=0.)
    Give all particles new positions and velocities, and change t and V_0.
    double fraction_of_particles_left(double time, uint steps, std::string method="rk4", bool particle_interaction=true)
    Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...
    void write_simulation_to_dir(std::string path, double time, uint steps, std::string method="rk4", bool particle_interaction=true)
    Simulate and write the displacement of all particles to files.
    Library of constants.
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    void test_external_B_field()
    Test that the external B field gives correct values.
    Definition: test_suite.cpp:66
    void test_total_force_external()
    Test that the total external force returns expected results.
    Definition: test_suite.cpp:107
    A class that simulates a Penning trap.
    Definition: PenningTrap.hpp:32
    -
    vec3 total_force_external(uint i)
    Calculate the total external force on a particle.
    -
    vec3 total_force_particles(uint i)
    Calculate the total force on a particle p_i from other particles.
    -
    vec3 external_B_field(vec3 r)
    Calculate B at point r.
    -
    vec3 external_E_field(vec3 r)
    Calculate E at point r.
    -
    void add_particle(Particle particle)
    Add a particle to the system.
    -
    vec3 force_on_particle(uint i, uint j)
    Calculate the force between 2 particles.
    +
    vec3 total_force_external(uint i)
    Calculate the total external force on a particle.
    Definition: PenningTrap.cpp:82
    +
    vec3 total_force_particles(uint i)
    Calculate the total force on a particle p_i from other particles.
    Definition: PenningTrap.cpp:95
    +
    vec3 external_B_field(vec3 r)
    Calculate B at point r.
    Definition: PenningTrap.cpp:66
    +
    vec3 external_E_field(vec3 r)
    Calculate E at point r.
    Definition: PenningTrap.cpp:58
    +
    void add_particle(Particle particle)
    Add a particle to the system.
    +
    vec3 force_on_particle(uint i, uint j)
    Calculate the force between 2 particles.
    Definition: PenningTrap.cpp:71
    Library of constants.
    #define T
    1 Tesla. unit:
    Definition: constants.hpp:21
    arma::vec::fixed< 3 > vec3
    Typedef for a fixed 3d arma vector.
    Definition: typedefs.hpp:23
    -- 2.20.1 From 9cacf7bbc2be70366f5cbf1efd6ba00eeb6aa019 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 21:43:09 +0200 Subject: [PATCH 26/32] Make some changes --- include/PenningTrap.hpp | 26 +++++-- src/Makefile | 4 +- src/PenningTrap.cpp | 61 ++++++++++------- src/main.cpp | 146 ++++++++++++++++++++++++++-------------- 4 files changed, 158 insertions(+), 79 deletions(-) diff --git a/include/PenningTrap.hpp b/include/PenningTrap.hpp index 0581e50..587299a 100644 --- a/include/PenningTrap.hpp +++ b/include/PenningTrap.hpp @@ -30,6 +30,9 @@ * */ class PenningTrap { + /** @brief Make PenningTrapTest a friend of PenningTrap. + * */ + friend class PenningTrapTest; private: double B_0; ///< Magnetic field strength double V_0; ///< Applied potential @@ -37,10 +40,16 @@ private: double d; ///< Characteristic dimension double t; ///< Current time std::vector particles; ///< The particles in the Penning trap - sim_arr k_v; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is - ///< the index of a particle - sim_arr k_r; ///< A 2D vector containing all \f$k_{i,j}\f$ where \f$j\f$ is - ///< the index of a particle + + /** @brief A 2D vector containing all \f$k_{v,i,j}\f$ where \f$j\f$ is the + * index of a particle + * */ + sim_arr k_v; + + /** @brief A 2D vector containing all \f$k_{r,i,j}\f$ where \f$j\f$ is the + * index of a particle + * */ + sim_arr k_r; /** @brief Helper for evolve_RK4 when calculating \f$k_{v,i,j}\f$ values * @@ -122,6 +131,14 @@ private: * */ vec3 total_force(uint i); + /** @brief calculate the total force on a particle p_i without interaction + * + * @param i The index of particle p_i + * + * @return vec3 + * */ + vec3 total_force_no_interaction(uint i); + public: /** @brief Constructor for the PenningTrap class * @@ -229,7 +246,6 @@ public: std::string method = "rk4", bool particle_interaction = true); - friend class PenningTrapTest; }; #endif diff --git a/src/Makefile b/src/Makefile index 3718e50..cb6d014 100644 --- a/src/Makefile +++ b/src/Makefile @@ -8,7 +8,7 @@ CLASSOBJS=$(CLASSSRCS:.cpp=.o) INCLUDE=../include -CFLAGS=-Wall -larmadillo -lblas -llapack -std=c++11 -O3 +CFLAGS=-Wall -larmadillo -lblas -llapack -std=c++11 -O3 -fomit-frame-pointer OPENMP=-fopenmp # Add a debug flag when compiling (For the DEBUG macro in utils.hpp) @@ -19,6 +19,7 @@ else DBGFLAG= endif +# Add profiling for serial code PROFILE ?= 0 ifeq ($(PROFILE), 1) PROFFLAG=-pg -fno-inline-functions @@ -30,6 +31,7 @@ endif all: test_suite main +# Instrumentation using scorep for parallel analysis instrument: scorep $(CC) -c PenningTrap.cpp -o PenningTrap.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP) scorep $(CC) -c Particle.cpp -o Particle.o $(CFLAGS) $(DBGFLAG) $(PROFFLAG) -I$(INCLUDE) $(OPENMP) diff --git a/src/PenningTrap.cpp b/src/PenningTrap.cpp index 1239be8..95a03c4 100644 --- a/src/PenningTrap.cpp +++ b/src/PenningTrap.cpp @@ -10,13 +10,14 @@ * @bug No known bugs * */ -#include "PenningTrap.hpp" -#include "typedefs.hpp" #include #include #include #include +#include "PenningTrap.hpp" +#include "typedefs.hpp" + vec3 PenningTrap::v_func(uint i, uint j, double dt) { switch (i) { @@ -59,8 +60,8 @@ vec3 PenningTrap::external_E_field(vec3 r) { r(2) *= -2.; - return vec3((this->V_0 * this->perturbation(this->t) / (this->d * this->d)) - * r); + return vec3( + ((this->V_0 * this->perturbation(this->t)) / (this->d * this->d)) * r); } vec3 PenningTrap::external_B_field(vec3 r) @@ -83,10 +84,6 @@ vec3 PenningTrap::total_force_external(uint i) { Particle *p = &this->particles[i]; - if (arma::norm(p->r_vec) > this->d) { - return vec3{0., 0., 0.}; - } - return vec3(p->q * (this->external_E_field(p->r_vec) + arma::cross(p->v_vec, this->external_B_field(p->r_vec)))); @@ -112,6 +109,14 @@ vec3 PenningTrap::total_force(uint i) return vec3(this->total_force_external(i) - this->total_force_particles(i)); } +vec3 PenningTrap::total_force_no_interaction(uint i) +{ + if (arma::norm(this->particles[i].r_vec) > this->d) { + return vec3{0., 0., 0.}; + } + return vec3(this->total_force_external(i)); +} + PenningTrap::PenningTrap(double B_0, double V_0, double d, double t) { this->B_0 = B_0; @@ -149,9 +154,12 @@ void PenningTrap::reinitialize(double f, double omega_V, double t) { this->t = t; this->set_pertubation(f, omega_V); + Particle *p; for (size_t i = 0; i < this->particles.size(); i++) { - this->particles[i].r_vec = vec3().randn() * .1 * this->d; + p = &this->particles[i]; + p->v_vec = vec3().randn() * .1 * this->d; + p->v_vec = vec3().randn() * .1 * this->d; } } @@ -162,13 +170,14 @@ void PenningTrap::add_particle(Particle particle) void PenningTrap::evolve_RK4(double dt, bool particle_interaction) { + Particle *p; std::vector original_particles = this->particles; std::vector tmp_particles = this->particles; - vec3 (PenningTrap::*force)(uint) = particle_interaction - ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec3 (PenningTrap::*force)(uint) = + particle_interaction ? &PenningTrap::total_force + : &PenningTrap::total_force_no_interaction; size_t size = this->particles.size(); @@ -182,15 +191,15 @@ void PenningTrap::evolve_RK4(double dt, bool particle_interaction) // Each k_{i+1} is dependent on k_i, so outer loop is not parallelizable for (size_t i = 0; i < 4; i++) { // Inner loop is able to be parallelized -#pragma omp parallel for +#pragma omp parallel for private(p) for (size_t j = 0; j < size; j++) { this->k_v[i][j] = (this->*force)(j) / this->particles[j].m; this->k_r[i][j] = this->particles[j].v_vec; - tmp_particles[j].v_vec = - original_particles[j].v_vec + this->v_func(i, j, dt); - tmp_particles[j].r_vec = - original_particles[j].r_vec + this->r_func(i, j, dt); + p = &tmp_particles[j]; + + p->v_vec = original_particles[j].v_vec + this->v_func(i, j, dt); + p->r_vec = original_particles[j].r_vec + this->r_func(i, j, dt); } this->particles = tmp_particles; } @@ -202,10 +211,11 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) { size_t size = this->particles.size(); vec3 force_res[size]; + Particle *p; - vec3 (PenningTrap::*force)(uint) = particle_interaction - ? &PenningTrap::total_force - : &PenningTrap::total_force_external; + vec3 (PenningTrap::*force)(uint) = + particle_interaction ? &PenningTrap::total_force + : &PenningTrap::total_force_no_interaction; // Calculating the force for each particle is independent and therefore // a good candidate for parallel execution @@ -218,8 +228,9 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) // this as well #pragma omp parallel for for (size_t i = 0; i < size; i++) { - this->particles[i].r_vec += dt * this->particles[i].v_vec; - this->particles[i].v_vec += dt * force_res[i] / this->particles[i].m; + p = &this->particles[i]; + p->r_vec += dt * p->v_vec; + p->v_vec += dt * force_res[i] / p->m; } this->t += dt; @@ -228,6 +239,7 @@ void PenningTrap::evolve_forward_euler(double dt, bool particle_interaction) simulation_t PenningTrap::simulate(double time, uint steps, std::string method, bool particle_interaction) { + Particle *p; double dt = time / (double)steps; uint size = this->particles.size(); @@ -247,8 +259,9 @@ simulation_t PenningTrap::simulate(double time, uint steps, std::string method, for (size_t j = 0; j < steps; j++) { for (size_t i = 0; i < size; i++) { - res.r_vecs[i][j] = this->particles[i].r_vec; - res.v_vecs[i][j] = this->particles[i].v_vec; + p = &this->particles[i]; + res.r_vecs[i][j] = p->r_vec; + res.v_vecs[i][j] = p->v_vec; } (this->*func)(dt, particle_interaction); } diff --git a/src/main.cpp b/src/main.cpp index f6a707c..937c306 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,6 +13,7 @@ #include #include #include +#include #include #include #include @@ -135,8 +136,9 @@ void simulate_100_particles() double time = 50.; // microseconds - trap.write_simulation_to_dir("output/simulate_100_particles", time, N, - "rk4", false); + // trap.write_simulation_to_dir("output/simulate_100_particles", time, N, + //"rk4", false); + trap.simulate(time, N, "rk4", true); } /** @brief Simulate 100 particles over 500 \f$ \mu s \f$ using a time @@ -212,7 +214,8 @@ void potential_resonance_narrow_sweep() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = + (size_t)((freq_end - freq_start) / freq_increment) + 1; double res[4][freq_iterations]; @@ -268,7 +271,8 @@ void potential_resonance_narrow_sweep_interaction() double freq_start = 1.; double freq_end = 1.7; double freq_increment = .002; - size_t freq_iterations = (size_t)((freq_end - freq_start) / freq_increment); + size_t freq_iterations = + (size_t)((freq_end - freq_start) / freq_increment) + 1; double res[4][freq_iterations]; @@ -308,60 +312,104 @@ void potential_resonance_narrow_sweep_interaction() int main() { - double start, end, t1, t2; + int option = 1; + bool chosen = false; + + system("clear"); + std::cout << "(1) All (default)\n" + << "(2) Simulate single particle\n" + << "(3) simulate 2 particles\n" + << "(4) Simulate single particle with different time steps\n" + << "(5) Simulate 100 particles\n" + << "(6) Potential resonance wide sweep\n" + << "(7) Potential resonance narrow sweep without particle " + "interactions\n" + << "(8) Potential resonance narrow sweep with particle " + "interaction\n" + << "Select what to run: "; + std::cin >> std::noskipws; + do { + if (!(std::cin >> option) || option < 1 || option > 8) { + std::cin.clear(); + std::cin.ignore(std::numeric_limits::max(), '\n'); + system("clear"); + std::cout + << "(1) All (default)\n" + << "(2) Simulate single particle\n" + << "(3) simulate 2 particles\n" + << "(4) Simulate single particle with different time steps\n" + << "(5) Simulate 100 particles\n" + << "(6) Potential resonance wide sweep\n" + << "(7) Potential resonance narrow sweep without particle " + "interactions\n" + << "(8) Potential resonance narrow sweep with particle " + "interaction\n" + << "Not a valid option, please enter a valid number: "; + } else { + chosen = true; + } + } while (!chosen); + + double start, end; + + system("clear"); + start = omp_get_wtime(); + switch (option) { + case 1: + std::cout << "Running simulate_single_particle\n"; + simulate_single_particle(); - simulate_single_particle(); + std::cout << "Running simulate_two_particles\n"; + simulate_two_particles(); - simulate_two_particles(); + std::cout << "Running simulate_single_particle_with_different_steps\n"; + simulate_single_particle_with_different_steps(); - simulate_single_particle_with_different_steps(); + std::cout << "Running simulate_100_particles\n"; + simulate_100_particles(); - t2 = omp_get_wtime(); + std::cout << "Running potential_resonance_wide_sweep\n"; + potential_resonance_wide_sweep(); - std::cout << "Time single and double : " << (t2 - start) - << " seconds" << std::endl; - - t1 = omp_get_wtime(); - - simulate_100_particles(); - - t2 = omp_get_wtime(); - - std::cout << "Time 100 particles : " << (t2 - t1) - << " seconds" << std::endl; - - t1 = omp_get_wtime(); - - potential_resonance_wide_sweep(); - - t2 = omp_get_wtime(); - - std::cout << "Time wide sweep : " << (t2 - t1) - << " seconds" << std::endl; - - t1 = omp_get_wtime(); - - potential_resonance_narrow_sweep(); - - t2 = omp_get_wtime(); - - std::cout << "Time narrow sweep no interaction : " << (t2 - t1) - << " seconds" << std::endl; - - t1 = omp_get_wtime(); - - potential_resonance_narrow_sweep_interaction(); - - t2 = omp_get_wtime(); - - std::cout << "Time narrow sweep with interaction: " << (t2 - t1) - << " seconds" << std::endl; + std::cout << "Running potential_resonance_narrow_sweep\n"; + potential_resonance_narrow_sweep(); + std::cout << "Running potential_resonance_narrow_sweep_interaction\n"; + potential_resonance_narrow_sweep_interaction(); + break; + case 2: + std::cout << "Running simulate_single_particle\n"; + simulate_single_particle(); + break; + case 3: + std::cout << "Running simulate_two_particles\n"; + simulate_two_particles(); + break; + case 4: + std::cout << "Running simulate_single_particle_with_different_steps\n"; + simulate_single_particle_with_different_steps(); + break; + case 5: + std::cout << "Running simulate_100_particles\n"; + simulate_100_particles(); + break; + case 6: + std::cout << "Running potential_resonance_wide_sweep\n"; + potential_resonance_wide_sweep(); + break; + case 7: + std::cout << "Running potential_resonance_narrow_sweep\n"; + potential_resonance_narrow_sweep(); + break; + case 8: + std::cout << "Running potential_resonance_narrow_sweep_interaction\n"; + potential_resonance_narrow_sweep_interaction(); + break; + } end = omp_get_wtime(); - std::cout << "Time : " << (end - start) - << " seconds" << std::endl; + std::cout << "Time: " << end - start << " seconds" << std::endl; return 0; } -- 2.20.1 From 0dfcdd5e2af2727c928944de9938603a6f13e2d6 Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 21:43:26 +0200 Subject: [PATCH 27/32] Add run times --- README.md | 39 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) diff --git a/README.md b/README.md index f404967..14cad0d 100644 --- a/README.md +++ b/README.md @@ -18,6 +18,13 @@ - Windows - Will most likely not work +### Tools + +- Profiling + - [gprof](https://ftp.gnu.org/old-gnu/Manuals/gprof-2.9.1/html_mono/gprof.html) + - [scalasca](https://www.scalasca.org/) + - [scorep](https://www.vi-hps.org/projects/score-p) + ### Libraries - Python @@ -74,6 +81,38 @@ If you have any problems running the scripts, you might have to run this instead python3 scripts/ ``` +## Performance + +This section aims to give an idea to the time it takes for the program to +run so that you know a bit what to expect if you decide to run it for +yourself. + +### CPU + +The times mentioned here are times achieved on a computer with these +specifications: + +- CPU model + - Intel i7-9850H +- Threads + - 12 +- Clock speed + - 4.6GHz + +### Times + +All times mentioned use the **evolve_RK4** method. + +Running a simulation with 100 particles without particle interactions over +40000 steps takes around 1.8 seconds. With particle interactions, it takes +around 4.8 seconds. + +**potential_resonance_wide_sweep** takes around 56 seconds to complete. + +**potential_resonance_narrow_sweep** takes around 172 seconds to complete. + +**potential_resonance_narrow_sweep_interaction** takes around 936 seconds to +complete. ## Credits -- 2.20.1 From 684b38abbac4eeac7fba3aba729eb5d8b76b8b9e Mon Sep 17 00:00:00 2001 From: Cory Date: Mon, 23 Oct 2023 21:44:54 +0200 Subject: [PATCH 28/32] Small change --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 14cad0d..eabf24f 100644 --- a/README.md +++ b/README.md @@ -23,7 +23,7 @@ - Profiling - [gprof](https://ftp.gnu.org/old-gnu/Manuals/gprof-2.9.1/html_mono/gprof.html) - [scalasca](https://www.scalasca.org/) - - [scorep](https://www.vi-hps.org/projects/score-p) + - [score-p](https://www.vi-hps.org/projects/score-p) ### Libraries -- 2.20.1 From cd90d299701e3387cc65c78065885e6719672c6b Mon Sep 17 00:00:00 2001 From: Cory Date: Tue, 24 Oct 2023 12:43:13 +0200 Subject: [PATCH 29/32] Edit plots --- latex/images/3d_plot.pdf | Bin 159580 -> 159882 bytes ...ft.pdf => particles_left_narrow_sweep.pdf} | Bin 135426 -> 135486 bytes ...rticles_left_narrow_sweep_interactions.pdf | Bin 0 -> 136173 bytes latex/images/particles_left_wide_sweep.pdf | Bin 0 -> 135776 bytes latex/images/phase_space_2_particles.pdf | Bin 53181 -> 0 bytes latex/images/phase_space_interaction_x.pdf | Bin 0 -> 206040 bytes latex/images/phase_space_interaction_z.pdf | Bin 0 -> 182213 bytes latex/images/phase_space_no_interaction_x.pdf | Bin 0 -> 203142 bytes latex/images/phase_space_no_interaction_z.pdf | Bin 0 -> 179318 bytes latex/images/plot_2_particles_xy.pdf | Bin 184652 -> 184583 bytes latex/images/relative_error.pdf | Bin 165973 -> 165833 bytes ...> simulate_2_particles_interaction_xy.pdf} | Bin 169476 -> 158482 bytes ...imulate_2_particles_no_interaction_xy.pdf} | Bin 151392 -> 157821 bytes latex/images/single_particle.pdf | Bin 104683 -> 104506 bytes latex/main.blg | 53 ++++++++++++++++++ latex/main.pdf | Bin 673380 -> 637768 bytes latex/references/references.bib | 6 +- latex/sections/results.tex | 14 ++--- 18 files changed, 63 insertions(+), 10 deletions(-) rename latex/images/{particles_left.pdf => particles_left_narrow_sweep.pdf} (97%) create mode 100644 latex/images/particles_left_narrow_sweep_interactions.pdf create mode 100644 latex/images/particles_left_wide_sweep.pdf delete mode 100644 latex/images/phase_space_2_particles.pdf create mode 100644 latex/images/phase_space_interaction_x.pdf create mode 100644 latex/images/phase_space_interaction_z.pdf create mode 100644 latex/images/phase_space_no_interaction_x.pdf create mode 100644 latex/images/phase_space_no_interaction_z.pdf rename latex/images/{phase_space_2_particles_x.pdf => simulate_2_particles_interaction_xy.pdf} (75%) rename latex/images/{phase_space_2_particles_z.pdf => simulate_2_particles_no_interaction_xy.pdf} (81%) create mode 100644 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zo|vx?y5(JL{hxoiR-JF7Qt4~XosCiuwg;2!uKN|)AS(mR2M7i7s{d8Um(t9NzP&rF zvvJz_V`&lbd{9JNW@zx>*wJ*M-RmhHqJ&DN%Qj>Y6J^_eMWxGXFbjzlvX52onVbFi z2Iv&i@P+#$w#N98;OWa3s}D%Uo@P7i-1ve)PP1Rd+W|iKuj(t+&NP_YR-+^B8R6co zb4$TG+k_|ACKmOSr3!aEvb`7TqH1#be;wVsrI4Sr5$}B)*z~}8FN(0IJvE7Oys-6Y ztx_o$yIetxN^{d#t%hvn*J%pNwcGi)0sBJ*5^lAZAGG>9D~WcDT~+%tr!)r(xPS1A zZ;lG~>OvVsZ%0maY&L_6)M!%RdT?d9@vgAU?P+LrkjjsgM?S4k7}*PT(8s~#e&Irt3!eO%YrrjG8^S}c!Gu5=r> SIIp@g0*>U7lQX(*%<~`bjxHbo diff --git a/latex/references/references.bib b/latex/references/references.bib index 1ada635..341ff73 100644 --- a/latex/references/references.bib +++ b/latex/references/references.bib @@ -98,7 +98,7 @@ } @misc{penning:fig, - key = , - url = {https://www.med.physik.uni-muenchen.de/research/nuclear-science/nuclear-masses/mlltrap/layout/traps/index.html} + key = {something}, + url = {https://www.med.physik.uni-muenchen.de/research/nuclear-science/nuclear-masses/mlltrap/layout/traps/index.html}, note = {Configuration figure a} -} \ No newline at end of file +} diff --git a/latex/sections/results.tex b/latex/sections/results.tex index 9437367..2dfa504 100644 --- a/latex/sections/results.tex +++ b/latex/sections/results.tex @@ -53,14 +53,14 @@ When we simulate two particles, we can see the effect of interaction between the % \begin{figure} \centering - \includegraphics[width=\linewidth]{images/phase_space_2_particles_x.pdf} + \includegraphics[width=\linewidth]{images/phase_space_no_interaction_x.pdf} \caption{Phase space plot of two particles in x-direction.} \label{fig:phase_space_2x} \end{figure} % \begin{figure} \centering - \includegraphics[width=\linewidth]{images/phase_space_2_particles_z.pdf} + \includegraphics[width=\linewidth]{images/phase_space_interaction_z.pdf} \caption{Phase space plot of two particles in z-direction.} \label{fig:phase_space_2z} \end{figure} @@ -74,16 +74,16 @@ When we simulate two particles, we can see the effect of interaction between the \begin{figure} \centering - \includegraphics[width=\linewidth]{images/phase_space_2_particles.pdf} - \caption{Phase space plot of two particles.} - \label{fig:phase_space_2} + \includegraphics[width=\linewidth]{images/relative_error.pdf} + \caption{Relative error of RK4 and forward Euler method.} + \label{fig:rel_err} \end{figure} \begin{figure} \centering - \includegraphics[width=\linewidth]{images/particles_left.pdf} + \includegraphics[width=\linewidth]{images/particles_left_wide_sweep.pdf} \caption{Fraction of particles left in the Penning trap, with a given amplitude $f$.} \label{fig:particles_left} \end{figure} -\end{document} \ No newline at end of file +\end{document} -- 2.20.1 From f7eee8dc6126211927a111ddc30d86d311b83064 Mon Sep 17 00:00:00 2001 From: Cory Date: Tue, 24 Oct 2023 12:43:52 +0200 Subject: [PATCH 30/32] Change scripts --- src/scripts/animate_100_particles.py | 3 +- src/scripts/plot_2_particles.py | 48 +++++++++-------- src/scripts/plot_3d.py | 1 - src/scripts/plot_particles_left.py | 15 +++--- src/scripts/plot_phase_space.py | 78 ++++++++++++++-------------- src/scripts/plot_relative_error.py | 19 ++++--- 6 files changed, 85 insertions(+), 79 deletions(-) diff --git a/src/scripts/animate_100_particles.py b/src/scripts/animate_100_particles.py index 076b186..5508b28 100644 --- a/src/scripts/animate_100_particles.py +++ b/src/scripts/animate_100_particles.py @@ -63,8 +63,7 @@ def animate(): fig, update, N, fargs=(lines, arr), interval=1, blit=False ) - # ani.save("../images/100_particles.gif", writer=animation.FFMpegFileWriter(fps=50)) - plt.show() + ani.save("../images/100_particles.gif", writer=animation.FFMpegFileWriter(fps=50)) if __name__ == "__main__": diff --git a/src/scripts/plot_2_particles.py b/src/scripts/plot_2_particles.py index 486f107..07401f6 100644 --- a/src/scripts/plot_2_particles.py +++ b/src/scripts/plot_2_particles.py @@ -16,11 +16,17 @@ params = { plt.rcParams.update(params) def main(): + directories = { + "output/simulate_2_particles/no_interaction/", + "output/simulate_2_particles/with_interaction/", + } files = [ - "output/simulate_2_particles/no_interaction/particle_0_r.txt", - "output/simulate_2_particles/no_interaction/particle_1_r.txt", - "output/simulate_2_particles/with_interaction/particle_0_r.txt", - "output/simulate_2_particles/with_interaction/particle_1_r.txt" + "particle_0_r.txt", + "particle_1_r.txt", + ] + outputs = [ + "../latex/images/simulate_2_particles_no_interaction_xy.pdf", + "../latex/images/simulate_2_particles_interaction_xy.pdf", ] labels = [ r"$p_1$", @@ -29,28 +35,28 @@ def main(): r"$\hat{p}_2$", ] colors = [ - "mediumaquamarine", - "salmon", "seagreen", "darkred" ] start_pos = set() - for label, color, file in zip(labels, colors, files): - with open(file) as f: - lines = f.readlines() - t = np.linspace(0, 50, len(lines)) - r = np.array([list(map(float, line.strip().split(","))) for line in lines]) - plt.plot(r[:,0], r[:,1], label=label, color=color) - start_pos.add((r[0,0],r[0,1])) - - for pos in start_pos: - plt.plot(*pos, "o", color="black") + for dir, output in zip(directories, outputs): + fig, ax = plt.subplots() + for label, color, file in zip(labels, colors, files): + with open(dir+file) as f: + lines = f.readlines() + t = np.linspace(0, 50, len(lines)) + r = np.array([list(map(float, line.strip().split(","))) for line in lines]) + ax.plot(r[:,0], r[:,1], label=label, color=color) + start_pos.add((r[0,0],r[0,1])) + + for pos in start_pos: + ax.plot(*pos, "o", color="black") - plt.xlabel(r"x $(\mu m)$") - plt.ylabel(r"y $(\mu m)$") - plt.legend(loc="upper right") - plt.axis("equal") - plt.savefig("../latex/images/plot_2_particles_xy.pdf", bbox_inches="tight") + ax.set_xlabel(r"x $(\mu m)$") + ax.set_ylabel(r"y $(\mu m)$") + ax.legend(loc="upper right") + ax.axis("equal") + fig.savefig(output, bbox_inches="tight") if __name__ == "__main__": diff --git a/src/scripts/plot_3d.py b/src/scripts/plot_3d.py index 4134787..5a6c107 100644 --- a/src/scripts/plot_3d.py +++ b/src/scripts/plot_3d.py @@ -48,7 +48,6 @@ def main(): ax.set_zlabel(r"z $(\mu m)$") ax.view_init(10,-35) - plt.title(r"2 particles with and without interactions.") plt.legend() plt.savefig("../latex/images/3d_plot.pdf") diff --git a/src/scripts/plot_particles_left.py b/src/scripts/plot_particles_left.py index f61cf71..125b73d 100644 --- a/src/scripts/plot_particles_left.py +++ b/src/scripts/plot_particles_left.py @@ -16,12 +16,9 @@ plt.rcParams.update(params) def main(): colors = [ - "lightskyblue", - "deepskyblue", - "salmon", - "tomato", - "mediumaquamarine", - "mediumseagreen" + "mediumseagreen", + "darkred", + "darkgoldenrod" ] files = [ "output/time_dependent_potential/wide_sweep.txt", @@ -49,10 +46,10 @@ def main(): fig, ax = plt.subplots() ax.plot(x, y1, label=r"$f_{1} = 0.1$", color=colors[0]) - ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[2]) - ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[4]) + ax.plot(x, y2, label=r"$f_{2} = 0.4$", color=colors[1]) + ax.plot(x, y3, label=r"$f_{3} = 0.7$", color=colors[2]) - ax.set_xlabel(r"Frequency $\omega_V$ (MHz)") + ax.set_xlabel(r"Angular frequency $\omega_V$ (MHz)") # ax.set_xlim((0, 2.8)) ax.set_ylabel(r"Fraction of particles left") # ax.set_ylim((-0.1, 1.1)) diff --git a/src/scripts/plot_phase_space.py b/src/scripts/plot_phase_space.py index d293fb7..2302c54 100644 --- a/src/scripts/plot_phase_space.py +++ b/src/scripts/plot_phase_space.py @@ -5,70 +5,68 @@ import seaborn as sns sns.set_theme() params = { "font.family": "Serif", - "font.serif": "Roman", + "font.serif": "Roman", "text.usetex": True, "axes.titlesize": "large", "axes.labelsize": "large", "xtick.labelsize": "large", "ytick.labelsize": "large", - "legend.fontsize": "medium" + "legend.fontsize": "medium", } plt.rcParams.update(params) + def main(): - directories = { + directories = [ "output/simulate_2_particles/no_interaction/", "output/simulate_2_particles/with_interaction/", - } + ] files = [ "particle_0", "particle_1", ] - labels = [ - [r"$p_1$", r"$\hat{p}_1$"], - [r"$p_2$", r"$\hat{p}_2$"] - ] + labels = [r"$p_1$", r"$p_2$"] + output = [ + "../latex/images/phase_space_no_interaction", + "../latex/images/phase_space_interaction", + ] colors = [ - "lightskyblue", - "deepskyblue", - "salmon", - "tomato", + "seagreen", + "darkred", ] - linestyles = [ - "solid", - "dotted" - ] - fig1, axs1 = plt.subplots(2,1,sharex=True) - fig2, axs2 = plt.subplots(2,1,sharex=True) - for i, (file, label) in enumerate(zip(files, labels)): - for j, (dir, linestyle) in enumerate(zip(directories, linestyles)): + + for i, dir in enumerate(directories): + fig1, axs1 = plt.subplots(sharex=True) + fig2, axs2 = plt.subplots(sharex=True) + for j, (file, label, color) in enumerate(zip(files, labels, colors)): r = [] v = [] - with open(dir+file+"_r.txt") as f: + with open(dir + file + "_r.txt") as f: lines = f.readlines() - r = np.array([list(map(float, line.strip().split(","))) for line in lines]) + r = np.array( + [list(map(float, line.strip().split(","))) for line in lines] + ) - with open(dir+file+"_v.txt") as f: + with open(dir + file + "_v.txt") as f: lines = f.readlines() - v = np.array([list(map(float, line.strip().split(","))) for line in lines]) - axs1[i].plot(r[:,0], v[:,0], label=label[j]) - axs2[i].plot(r[:,2], v[:,2], label=label[j]) - axs1[i].axis("equal") - axs2[i].axis("equal") - - - axs1[1].set(xlabel=r"t $(\mu s)$", ylabel = r"x $(\mu m)$") - axs1[0].set(ylabel = r"x $(\mu m)$") - axs2[1].set(xlabel=r"t $(\mu s)$", ylabel = r"z $(\mu m)$") - axs2[0].set(ylabel = r"z $(\mu m)$") + v = np.array( + [list(map(float, line.strip().split(","))) for line in lines] + ) + axs1.plot(r[:, 0], v[:, 0], label=label, color=color) + axs1.plot(r[0,0], v[0,0], "ko") + axs2.plot(r[:, 2], v[:, 2], label=label, color=color) + axs2.plot(r[0,2], v[0,2], "ko") + axs1.axis("equal") + axs2.axis("equal") - axs1[i].legend(loc="upper right") - # axs1[i].set_title(title) - axs2[i].legend(loc="upper right") - # axs2[i].set_title(title) + axs1.set(xlabel=r"$x (\mu m)$", ylabel=r"$v_x (\mu m / \mu s)$") + axs2.set(xlabel=r"$z (\mu m)$", ylabel=r"$v_z (\mu m / \mu s)$") - fig1.savefig("../latex/images/phase_space_2_particles_x.pdf", bbox_inches="tight") - fig2.savefig("../latex/images/phase_space_2_particles_z.pdf", bbox_inches="tight") + axs1.legend(loc="upper right") + axs2.legend(loc="upper right") + + fig1.savefig(f"{output[i]}_x.pdf", bbox_inches="tight") + fig2.savefig(f"{output[i]}_z.pdf", bbox_inches="tight") # plt.show() diff --git a/src/scripts/plot_relative_error.py b/src/scripts/plot_relative_error.py index 9399e67..df3e64d 100644 --- a/src/scripts/plot_relative_error.py +++ b/src/scripts/plot_relative_error.py @@ -33,32 +33,39 @@ def main(): r"$n_4$", ] titles = [ - "Relative error for the RK4 method", - "Relative error for the forward Euler method" + "(a)", + "(b)" ] methods = [ "rk4", "euler" ] + colors = [ + "seagreen", + "darkred", + "darkgoldenrod", + "steelblue" + ] fig1, axs1 = plt.subplots(2,1) for i, (dir, title) in enumerate(list(zip(directories, titles))): max_err = [] - for label, file in zip(labels, files): + for label, file, color in zip(labels, files, colors): with open(dir+file) as f: lines = f.readlines() t = np.linspace(0, 50, len(lines)) r = np.array([float(line.strip()) for line in lines]) max_err.append(max(r)) - axs1[i].plot(t, r, label=label) + axs1[i].plot(t, r, label=label, color=color) - axs1[i].set(xlabel=r"t $(\mu s)$", ylabel = r"relative_error $(\mu m)$") + axs1[i].set(xlabel=r"t $(\mu s)$", ylabel = r"relative error $(\mu m)$") axs1[i].legend() axs1[i].set_title(title) conv_rate = 1/3 * sum([np.log2(max_err[i+1]/max_err[i])/np.log2(.5) for i in range(3)]) print(f"{methods[i]}: {conv_rate}") - fig1.savefig("../latex/images/phase_space_2_particles_x.pdf") + plt.tight_layout() + fig1.savefig("../latex/images/relative_error.pdf", bbox_inches="tight") if __name__ == "__main__": -- 2.20.1 From 16d7622283c3865243bbfb4b9f949a4ea642af5b Mon Sep 17 00:00:00 2001 From: Cory Date: Tue, 24 Oct 2023 12:44:25 +0200 Subject: [PATCH 31/32] Add ofile as private --- src/main.cpp | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/main.cpp b/src/main.cpp index 937c306..0537470 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -13,7 +13,6 @@ #include #include #include -#include #include #include #include @@ -94,9 +93,10 @@ void simulate_single_particle_with_different_steps() // Calculate relative error for RK4 std::string path = "output/relative_error/RK4/"; mkpath(path); -#pragma omp parallel for +#pragma omp parallel for private(ofile) for (int i = 0; i < 4; i++) { int steps = 4000 * std::pow(2, i); + std::cout << steps << std::endl; double dt = time / (double)steps; ofile.open(path + std::to_string(steps) + "_steps.txt"); PenningTrap trap(std::vector{p1}); @@ -112,7 +112,7 @@ void simulate_single_particle_with_different_steps() // Calculate relative error for 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