From 6e72c165b911fa5a5f57f8633815c77d4fbf6ee5 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Thu, 11 Nov 2021 13:23:31 +0100 Subject: [PATCH] Modify DynamicUpdate for colorful display of N-body problem --- lib/objects.py | 22 ++++++++++------------ lib/plots.py | 19 +++++++++++++++---- main.py | 4 ++-- plots/3bodies_hermite_dynsyst.gif | Bin 1041121 -> 802367 bytes plots/3bodies_leapfrog_dynsyst.gif | Bin 1050844 -> 814939 bytes plots/Em.png | Bin 305921 -> 330461 bytes plots/L2.png | Bin 331240 -> 330719 bytes plots/dynsyst.gif | Bin 388402 -> 707492 bytes 8 files changed, 27 insertions(+), 18 deletions(-) diff --git a/lib/objects.py b/lib/objects.py index 7b3546e..df7ca37 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -26,10 +26,10 @@ class Body: self.vp = np.zeros(3) def __repr__(self): # Called upon "print(body)" - return "Body of mass: {0:.2f}kg, position: {1}, velocity: {2}".format(self.m, self.p, self.v) + return "Body of mass: {0:.2e}kg, position: {1}, velocity: {2}".format(self.m, self.q, self.v) def __str__(self): # Called upon "str(body)" - return "Body of mass: {0:.2f}kg, position: {1}, velocity: {2}".format(self.m, self.p, self.v) + return "Body of mass: {0:.2e}kg".format(self.m) class System: @@ -120,7 +120,7 @@ class System: system("mkdir tmp") except IOError: system("rm tmp/*") - d = DynamicUpdate() + d = DynamicUpdate(self) d.on_launch() N = np.ceil(duration/dt).astype(int) @@ -134,14 +134,13 @@ class System: if display and j%100==0: # display progression - q_array = self.get_positions() if len(self.bodylist) == 1: - d.on_running(q_array[0], q_array[1], q_array[2], step=j, label="step {0:d}/{1:d}".format(j,N)) + d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) else: - d.on_running(q_array[:,0], q_array[:,1], q_array[:,2], step=j, label="step {0:d}/{1:d}".format(j,N)) + d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) if display: system("convert -delay 5 -loop 0 tmp/??????.png tmp/temp.gif && rm tmp/??????.png") - system("convert tmp/temp.gif -fuzz 30% -layers Optimize plots/dynsyst.gif && rm tmp/temp.gif") + system("convert tmp/temp.gif -fuzz 10% -layers Optimize plots/dynsyst.gif")# && rm tmp/temp.gif") if recover_param: return E, L @@ -216,7 +215,7 @@ class System: system("mkdir tmp") except IOError: system("rm tmp/*") - d = DynamicUpdate() + d = DynamicUpdate(self) d.on_launch() N = np.ceil(duration/dt).astype(int) @@ -230,14 +229,13 @@ class System: if display and j%100==0: # display progression - q_array = self.get_positions() if len(self.bodylist) == 1: - d.on_running(q_array[0], q_array[1], q_array[2], step=j, label="step {0:d}/{1:d}".format(j,N)) + d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) else: - d.on_running(q_array[:,0], q_array[:,1], q_array[:,2], step=j, label="step {0:d}/{1:d}".format(j,N)) + d.on_running(self, step=j, label="step {0:d}/{1:d}".format(j,N)) if display: system("convert -delay 5 -loop 0 tmp/??????.png tmp/temp.gif && rm tmp/??????.png") - system("convert tmp/temp.gif -fuzz 30% -layers Optimize plots/dynsyst.gif && rm tmp/temp.gif") + system("convert tmp/temp.gif -fuzz 10% -layers Optimize plots/dynsyst.gif")# && rm tmp/temp.gif") if recover_param: return E, L diff --git a/lib/plots.py b/lib/plots.py index 46f65fc..4bc7cd1 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -14,6 +14,9 @@ class DynamicUpdate(): plt.ion() + def __init__(self, dyn_syst): + self.dyn_syst = dyn_syst + def set_lims(self, factor=1.5): self.ax.set_xlim(factor*self.min_x, factor*self.max_x) self.ax.set_ylim(factor*self.min_x, factor*self.max_x) @@ -23,20 +26,28 @@ class DynamicUpdate(): #Set up plot self.fig = plt.figure(figsize=(10,10)) self.ax = self.fig.add_subplot(projection='3d') - self.lines, = self.ax.plot([],[],[],'o') + self.lines = [] + for i,body in enumerate(self.dyn_syst.bodylist): + x, y, z = body.q + lines, = self.ax.plot([x],[y],[z],'o',color="C{0:d}".format(i),label="{0:s}".format(str(body))) + self.lines.append(lines) + self.lines = np.array(self.lines) #Autoscale on unknown axis and known lims on the other self.ax.set_autoscaley_on(True) self.set_lims() #Other stuff self.ax.grid() - #self.ax.set_aspect('equal') + self.ax.legend() - def on_running(self, xdata, ydata, zdata, step=None, label=None): + def on_running(self, dyn_syst, step=None, label=None): + xdata, ydata, zdata = dyn_syst.get_positions() values = np.sqrt(np.sum((np.array((xdata,ydata,zdata))**2).T,axis=1)) self.min_x, self.max_x = -np.max([np.abs(values).max(),self.max_x]), np.max([np.abs(values).max(),self.max_x]) self.set_lims() #Update data (with the new _and_ the old points) - self.lines.set_data_3d(xdata, ydata, zdata) + for i,body in enumerate(dyn_syst.bodylist): + x, y, z = body.q + self.lines[i].set_data_3d([x], [y], [z]) if not label is None: self.ax.set_title(label) #Need both of these in order to rescale diff --git a/main.py b/main.py index 45025a1..b37b324 100755 --- a/main.py +++ b/main.py @@ -33,8 +33,8 @@ def main(): 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) + #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) diff --git a/plots/3bodies_hermite_dynsyst.gif b/plots/3bodies_hermite_dynsyst.gif index 10858c13d145571154da4781847efc8f35ff7b93..227d3d4361d366ad8223a5740e997b4913cffbf7 100644 GIT binary patch literal 802367 zcmeFYRZtvE)S!(sxD(uhTX2V91B1J}JHg%E-CYNF*Pw&DTY|e=fDqWX{;%q<+S|R^ zo9)ZK>E}78x~sa*InpvxeEcR*uo$p^prBx2U{Fy}ad2=*NJyxushOFXxwyE5goGp| zCFSMi)z#JY_4Uoo&F$^&-Q3*#{QSs0TPZwSzxlWDg!hDng~i6krlqCj<>iGGHpf=| zOaiy1R&|z@mDSbNH8(f+_4UQq43>0`74^s{>Q6nY^`~Gt!-+nb9SeD{`dc{IW;x4yu7@+ zw!XH$@jtScmzV#^K0ZGF`}Ys(|E>Rf5ukj9gMy`oAsa 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