plot for multiple step values at time
18
lib/plots.py
@@ -114,22 +114,30 @@ def display_parameters(E,L,parameters,savename=""):
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if savename != "":
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if savename != "":
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savename += "_"
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savename += "_"
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duration, step, dyn_syst, integrator = parameters
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duration, step, dyn_syst, integrator = parameters
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if type(step) != list:
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step = [step]
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if (len(E) == duration//step[0]) and (len(L) == duration//step[0]):
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E, L = [E], [L]
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bodies = ""
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bodies = ""
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for body in dyn_syst.bodylist:
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for body in dyn_syst.bodylist:
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bodies += str(body)+" ; "
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bodies += str(body)+" ; "
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title = "Relative difference of the {} "+"for a system composed of {0:s}\n integrated with {1:s} for a duration of {2:.2f} years with a step of {3:.2e} years.".format(bodies, integrator, duration/yr, step/yr)
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title = "Relative difference of the {0:s} "+"for a system composed of {0:s}\n integrated with {1:s} for a duration of {2:.2f} years ".format(bodies, integrator, duration/yr)
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fig1 = plt.figure(figsize=(15,7))
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fig1 = plt.figure(figsize=(15,7))
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ax1 = fig1.add_subplot(111)
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ax1 = fig1.add_subplot(111)
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ax1.plot(np.arange(E.shape[0])*step/yr, np.abs((E-E[0])/E[0]), label=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$")
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for i in range(len(E)):
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ax1.plot(np.arange(E[i].shape[0])*step[i]/yr, np.abs((E[i]-E[i][0])/E[i][0]), label="step of {0:.2e}yr".format(step[i]/yr))
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ax1.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$", yscale='log')
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ax1.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$", yscale='log')
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ax1.legend()
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ax1.legend()
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fig1.suptitle(title.format("mechanical energy"))
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fig1.suptitle(title.format("mechanical energy"))
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fig1.savefig("plots/{0:s}dEm.png".format(savename),bbox_inches="tight")
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fig1.savefig("plots/{0:s}dEm.png".format(savename),bbox_inches="tight")
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fig2 = plt.figure(figsize=(15,7))
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fig2 = plt.figure(figsize=(15,7))
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ax2 = fig2.add_subplot(111)
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ax2 = fig2.add_subplot(111)
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dL = ((L-L[0])/L[0])
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for i in range(len(L)):
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dL[np.isnan(dL)] = 0.
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dL = ((L[i]-L[i][0])/L[i][0])
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ax2.plot(np.arange(L.shape[0])*step/yr, np.abs(np.sum(dL,axis=1)), label=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$")
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dL[np.isnan(dL)] = 0.
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ax2.plot(np.arange(L[i].shape[0])*step[i]/yr, np.abs(np.sum(dL,axis=1)), label="step of {0:.2e}yr".format(step[i]/yr))
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ax2.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$",yscale='log')
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ax2.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$",yscale='log')
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ax2.legend()
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ax2.legend()
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fig2.suptitle(title.format("kinetic moment"))
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fig2.suptitle(title.format("kinetic moment"))
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14
main.py
@@ -9,7 +9,7 @@ from lib.units import *
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def main():
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def main():
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#initialisation
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#initialisation
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m = np.array([1., 1., 0.])*Ms # Masses in Solar mass
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m = np.array([1., 1., 0])*Ms # Masses in Solar mass
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a = np.array([1., 1., 5.])*au # Semi-major axis in astronomical units
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a = np.array([1., 1., 5.])*au # Semi-major axis in astronomical units
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e = np.array([0., 0., 1./4.]) # Eccentricity
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e = np.array([0., 0., 1./4.]) # Eccentricity
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psi = np.array([0., 0., 0.])*np.pi/180. # Inclination of the orbital plane in degrees
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psi = np.array([0., 0., 0.])*np.pi/180. # Inclination of the orbital plane in degrees
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@@ -30,11 +30,13 @@ def main():
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dyn_syst = System(bodylist)
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dyn_syst = System(bodylist)
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dyn_syst.COMShift()
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dyn_syst.COMShift()
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duration, step = 100*yr, 1e4
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duration, step1, step2 = 100*yr, 1e4, 1e5
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#E, L = dyn_syst.leapfrog(duration, step, recover_param=True, display=True)
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E1, L1 = dyn_syst.leapfrog(duration, step1, recover_param=True)#, display=True)
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E, L = dyn_syst.hermite(duration,step, recover_param=True, display=True)
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E2, L2 = dyn_syst.leapfrog(duration, step2, recover_param=True)#, display=True)
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parameters = [duration, step, dyn_syst, "hermite"]
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#E1, L1 = dyn_syst.hermite(duration, step1, recover_param=True)#, display=True)
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display_parameters(E, L, parameters=parameters, savename="3bodies_hermite")
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#E2, L2 = dyn_syst.hermite(duration, step2, recover_param=True)#, display=True)
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parameters = [duration, [step1, step2], dyn_syst, "leapfrog"]
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display_parameters([E1, E2], [L1, L2], parameters=parameters, savename="3bodies_leapfrog")
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return 0
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return 0
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