From 27844f5cb8e64b201894dbfa077ec5cceae98256 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Fri, 12 Nov 2021 17:08:07 +0100 Subject: [PATCH] Update display with readable data --- lib/objects.py | 21 +++++----- lib/plots.py | 61 ++++++++++++++++++++++++++--- lib/units.py | 10 +++++ main.py | 38 ++++++------------ plots/2bodies_Em.png | Bin 312056 -> 0 bytes plots/2bodies_L2.png | Bin 41496 -> 0 bytes plots/2bodies_dynsyst.gif | Bin 271714 -> 0 bytes plots/2bodies_hermite_dEm.png | Bin 0 -> 88062 bytes plots/2bodies_hermite_dL2.png | Bin 0 -> 49471 bytes plots/2bodies_hermite_dynsyst.gif | Bin 0 -> 386133 bytes plots/2bodies_leapfrog_dEm.png | Bin 0 -> 74567 bytes plots/2bodies_leapfrog_dL2.png | Bin 0 -> 47892 bytes plots/2bodies_leapfrog_dynsyst.gif | Bin 0 -> 364480 bytes plots/3bodies_hermite_Em.png | Bin 305028 -> 0 bytes plots/3bodies_hermite_L2.png | Bin 316885 -> 0 bytes plots/3bodies_hermite_dEm.png | Bin 0 -> 326590 bytes plots/3bodies_hermite_dL2.png | Bin 0 -> 328096 bytes plots/3bodies_hermite_dynsyst.gif | Bin 802367 -> 454938 bytes plots/Em.png | Bin 330461 -> 0 bytes plots/L2.png | Bin 330719 -> 0 bytes plots/dynsyst.gif | Bin 454938 -> 0 bytes 21 files changed, 91 insertions(+), 39 deletions(-) create mode 100644 lib/units.py delete mode 100644 plots/2bodies_Em.png delete mode 100644 plots/2bodies_L2.png delete mode 100644 plots/2bodies_dynsyst.gif create mode 100644 plots/2bodies_hermite_dEm.png create mode 100644 plots/2bodies_hermite_dL2.png create mode 100644 plots/2bodies_hermite_dynsyst.gif create mode 100644 plots/2bodies_leapfrog_dEm.png create mode 100644 plots/2bodies_leapfrog_dL2.png create mode 100644 plots/2bodies_leapfrog_dynsyst.gif delete mode 100644 plots/3bodies_hermite_Em.png delete mode 100644 plots/3bodies_hermite_L2.png create mode 100644 plots/3bodies_hermite_dEm.png create mode 100644 plots/3bodies_hermite_dL2.png delete mode 100644 plots/Em.png delete mode 100644 plots/L2.png delete mode 100644 plots/dynsyst.gif diff --git a/lib/objects.py b/lib/objects.py index df7ca37..8e0af05 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -1,15 +1,12 @@ #!/usr/bin/python # -*- coding:utf-8 -*- """ -Class definition for physical atribute +Class definition for physical attribute """ from os import system import numpy as np from lib.plots import DynamicUpdate - -globals()['G'] = 6.67e-11 #Gravitational constant in SI units -globals()['Ms'] = 2e30 #Solar mass in kg -globals()['au'] = 1.5e11 #Astronomical unit in m +from lib.units import * class Body: @@ -33,7 +30,8 @@ class Body: class System: - def __init__(self, bodylist): + def __init__(self, bodylist, blackstyle=True): + self.blackstyle = blackstyle self.bodylist = np.array(bodylist) self.time = 0 @@ -41,7 +39,10 @@ class System: return np.array([body.m for body in self.bodylist]) def get_positions(self): #return the positions of the bodies - return np.array([body.q for body in self.bodylist]) + xdata = np.array([body.q[0] for body in self.bodylist]) + ydata = np.array([body.q[1] for body in self.bodylist]) + zdata = np.array([body.q[2] for body in self.bodylist]) + return xdata, ydata, zdata def get_velocities(self): #return the positions of the bodies return np.array([body.v for body in self.bodylist]) @@ -121,7 +122,7 @@ class System: except IOError: system("rm tmp/*") d = DynamicUpdate(self) - d.on_launch() + d.launch(self.blackstyle) N = np.ceil(duration/dt).astype(int) E = np.zeros(N) @@ -139,6 +140,7 @@ class System: else: d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) if display: + d.close() system("convert -delay 5 -loop 0 tmp/??????.png tmp/temp.gif && rm tmp/??????.png") system("convert tmp/temp.gif -fuzz 10% -layers Optimize plots/dynsyst.gif")# && rm tmp/temp.gif") @@ -216,7 +218,7 @@ class System: except IOError: system("rm tmp/*") d = DynamicUpdate(self) - d.on_launch() + d.launch(self.blackstyle) N = np.ceil(duration/dt).astype(int) E = np.zeros(N) @@ -234,6 +236,7 @@ class System: else: d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) if display: + d.close() system("convert -delay 5 -loop 0 tmp/??????.png tmp/temp.gif && rm tmp/??????.png") system("convert tmp/temp.gif -fuzz 10% -layers Optimize plots/dynsyst.gif")# && rm tmp/temp.gif") diff --git a/lib/plots.py b/lib/plots.py index 19c8b26..0ac5b63 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -6,6 +6,7 @@ Implementation of the plotting and visualization functions. import numpy as np import time import matplotlib.pyplot as plt +from lib.units import * class DynamicUpdate(): #Suppose we know the x range @@ -21,9 +22,8 @@ class DynamicUpdate(): self.ax.set_xlim(factor*self.min_x, factor*self.max_x) self.ax.set_ylim(factor*self.min_x, factor*self.max_x) self.ax.set_zlim(factor*self.min_x, factor*self.max_x) - - def on_launch(self): - #Set up plot + + def set_blackstyle(self): self.fig = plt.figure(figsize=(10,10), facecolor='k') self.ax = self.fig.add_subplot(projection='3d') self.ax.set_facecolor('k') @@ -39,6 +39,18 @@ class DynamicUpdate(): self.ax.w_xaxis.set_pane_color((0,0,0,0)) self.ax.w_yaxis.set_pane_color((0,0,0,0)) self.ax.w_zaxis.set_pane_color((0,0,0,0)) + + + def launch(self, blackstyle=True): + #Set up plot + if blackstyle: + self.blackstyle = True + self.set_blackstyle() + else: + self.blackstyle = False + self.fig = plt.figure(figsize=(10,10)) + self.ax = self.fig.add_subplot(projection='3d') + self.lines = [] for i,body in enumerate(self.dyn_syst.bodylist): x, y, z = body.q @@ -50,7 +62,10 @@ class DynamicUpdate(): self.set_lims() #Other stuff self.ax.grid() - self.ax.legend(labelcolor='w', frameon=True, framealpha=0.2) + if self.blackstyle: + self.ax.legend(labelcolor='w', frameon=True, framealpha=0.2) + else: + self.ax.legend() def on_running(self, dyn_syst, step=None, label=None): xdata, ydata, zdata = dyn_syst.get_positions() @@ -62,7 +77,11 @@ class DynamicUpdate(): x, y, z = body.q self.lines[i].set_data_3d([x], [y], [z]) if not label is None: - self.ax.set_title(label,color='w') + if self.blackstyle: + self.ax.set_title(label,color='w') + else: + self.ax.set_title(label) + #Need both of these in order to rescale self.ax.relim() self.ax.autoscale_view() @@ -71,6 +90,9 @@ class DynamicUpdate(): self.fig.canvas.flush_events() if not step is None and step%1000==0: self.fig.savefig("tmp/{0:06d}.png".format(step),bbox_inches="tight") + + def close(self): + self.fig.close() #Example def __call__(self): @@ -85,3 +107,32 @@ class DynamicUpdate(): self.on_running(xdata, ydata) time.sleep(1) return xdata, ydata + +def display_parameters(E,L,parameters,savename=""): + """ + """ + if savename != "": + savename += "_" + duration, step, dyn_syst, integrator = parameters + bodies = "" + for body in dyn_syst.bodylist: + bodies += str(body)+" ; " + title = "Relative difference of the {} "+"for a system composed of {0:s} \nintegrated with {1:s} for a duration of {2:.2f} years with a step of {3:.2e} years.".format(bodies, integrator, duration/yr, step/yr) + fig1 = plt.figure(figsize=(15,7)) + ax1 = fig1.add_subplot(111) + ax1.plot(np.arange(E.shape[0])*step/yr, np.abs((E-E[0])/E[0]), label=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$") + ax1.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$", yscale='log') + ax1.legend() + fig1.suptitle(title.format("mechanical energy")) + fig1.savefig("plots/{0:s}dEm.png".format(savename),bbox_inches="tight") + fig2 = plt.figure(figsize=(15,7)) + ax2 = fig2.add_subplot(111) + dL = ((L-L[0])/L[0]) + dL[np.isnan(dL)] = 0. + ax2.plot(np.arange(L.shape[0])*step/yr, np.abs(np.sum(dL,axis=1)), label=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$") + ax2.set(xlabel=r"$t (yr)$", ylabel=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$",yscale='log') + ax2.legend() + fig2.suptitle(title.format("kinetic moment")) + fig2.savefig("plots/{0:s}dL2.png".format(savename),bbox_inches="tight") + plt.show(block=True) + \ No newline at end of file diff --git a/lib/units.py b/lib/units.py new file mode 100644 index 0000000..e23b866 --- /dev/null +++ b/lib/units.py @@ -0,0 +1,10 @@ +#!/usr/bin/python +# -*- coding:utf-8 -*- +""" +Units used in the project. +""" + +globals()['G'] = 6.67e-11 #Gravitational constant in SI units +globals()['Ms'] = 2e30 #Solar mass in kg +globals()['au'] = 1.5e11 #Astronomical unit in m +globals()['yr'] = 3.15576e7 #year in seconds \ No newline at end of file diff --git a/main.py b/main.py index b37b324..c98b629 100755 --- a/main.py +++ b/main.py @@ -4,50 +4,38 @@ from sys import exit as sysexit import numpy as np import matplotlib.pyplot as plt from lib.objects import Body, System - -globals()['G'] = 6.67e-11 #Gravitational constant in SI units -globals()['Ms'] = 2e30 #Solar mass in kg -globals()['au'] = 1.5e11 #Astronomical unit in m +from lib.plots import display_parameters +from lib.units import * def main(): #initialisation - m = np.array([1, 1, 0.1])*Ms # Masses in Solar mass + m = np.array([1., 1., 0.])*Ms # Masses in Solar mass a = np.array([1., 1., 5.])*au # Semi-major axis in astronomical units e = np.array([0., 0., 1./4.]) # Eccentricity - psi = np.array([0., 0., 80.])*np.pi/180. # Inclination of the orbital plane in degrees + psi = np.array([0., 0., 0.])*np.pi/180. # Inclination of the orbital plane in degrees x1 = np.array([0., -1., 0.])*a[0] x2 = np.array([0., 1., 0.])*a[1] x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])])*a[2] q = np.array([x1, x2, x3]) - v1 = np.array([-np.sqrt(G*m[1]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) - v2 = np.array([np.sqrt(G*m[0]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) + v1 = np.array([np.sqrt(G*m[1]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) + v2 = np.array([-np.sqrt(G*m[0]**2/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) v3 = np.array([0., np.sqrt(G*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.]) v = np.array([v1, v2, v3]) bodylist = [] - for i in range(3): + for i in range(2): bodylist.append(Body(m[i], q[i], v[i])) dyn_syst = System(bodylist) dyn_syst.COMShift() - duration, step = 100*3e7, 1e4 - #E, L = dyn_syst.leapfrog(duration, step, recover_param=True, display=True) - E, L = dyn_syst.hermite(duration,step, recover_param=True, display=True) - plt.close() - fig1 = plt.figure(figsize=(30,15)) - ax1 = fig1.add_subplot(111) - ax1.plot(np.arange(E.shape[0])/duration, E, label=r"$E_m$") - ax1.legend() - fig1.savefig("plots/Em.png",bbox_inches="tight") - fig2 = plt.figure(figsize=(30,15)) - ax2 = fig2.add_subplot(111) - ax2.plot(np.arange(L.shape[0])/duration, np.sum(L**2,axis=1), label=r"$L^2$") - ax2.legend() - fig2.savefig("plots/L2.png",bbox_inches="tight") - plt.show(block=True) - + duration, step = 100*yr, 1e4 + #E, L = dyn_syst.leapfrog(duration, step, recover_param=True)#, display=True) + E, L = dyn_syst.hermite(duration,step, recover_param=True)#, display=True) + parameters = [duration, step, dyn_syst, "hermite"] + display_parameters(E, L, parameters=parameters, savename="2bodies_hermite") + return 0 if __name__ == '__main__': diff --git a/plots/2bodies_Em.png b/plots/2bodies_Em.png deleted file mode 100644 index 2510e2d175c6cff71f8fdb70f7efefa3f75f115c..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 312056 zcmd?PS5#A7)HWKLh)7X{C?x?4phy#>2qb_nVx!n7(gYNc79dCs1Sz5*pdx}4LlIFr zBApOADpe8b2@nXWYI407Vtyc-^j}U7Q)3p(9!P!$i&g##}nc2`Orx^ z;DI0VA;Mct3HWzb+RfkJ2YEqR+3WwgK?&jKs{A#zCKDKh&*!o=5(E-*WdG;*2rqaD z;sAlJ{9|xCD06u)_{$^fJCNt_f;wuG-Ffpc$7klp&mZRDOCQNm_5E1E*PggeB~+c&eR0q{ku64>fZ_?40sL+7|PeXXM;``W($9Ow}_|UL(})@#0e~Q zYVTdkk2>#X&@P^qz!WEa|7M?#U*c#Uox5#~1d>(}+8Bn|z)Ugd5P`KSKy z-ygpmaoI9bdjH?P_=Fd({(Wp2j^lQGe|t1i`lSAQg}>V!&HdE>)L$o#d;xk{`ggO1 z4@>_{`McSMod5mO&DLi1yGuBx2WpKPuB?P(_#NEG)wp1SxVpPW2qGrXek1lQZ2i8S z((?Z!4B7i*OpH-R$;c*OS?b3zx68WjsWjhuxA|K6>*~Djymrux2Uu>=w3@e_06uPA>yI$NGczG4TX?s1}Ps-pCOO+s|5b*i-14M=}anTNrUTeZdSZ 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