From 34f9ed6ec7e1089e342b226621e097fc879525e1 Mon Sep 17 00:00:00 2001 From: Thibault Barnouin Date: Fri, 3 Dec 2021 15:55:37 +0100 Subject: [PATCH] debugg hermite and force use of longdouble type --- lib/LeapFrog.py | 14 ++++----- lib/hermite.py | 32 +++++++++---------- lib/objects.py | 40 ++++++++++++------------ lib/plots.py | 4 +-- lib/units.py | 2 +- main.py | 32 +++++++++---------- plots/2bodies_hermite_a_e.png | Bin 0 -> 37691 bytes plots/2bodies_hermite_dEm.png | Bin 90662 -> 80420 bytes plots/2bodies_hermite_dL2.png | Bin 53419 -> 53587 bytes plots/2bodies_leapfrog_a_e.png | Bin 36742 -> 36741 bytes plots/2bodies_leapfrog_dEm.png | Bin 166454 -> 167576 bytes plots/2bodies_leapfrog_dL2.png | Bin 124600 -> 140781 bytes plots/3bodies_hermite_a_e.png | Bin 0 -> 146504 bytes plots/3bodies_hermite_dEm.png | Bin 93854 -> 139045 bytes plots/3bodies_hermite_dL2.png | Bin 55531 -> 57934 bytes plots/3bodies_hermite_dynsyst.gif | Bin 562594 -> 4040681 bytes plots/3bodies_leapfrog_a_e.png | Bin 37061 -> 146396 bytes plots/3bodies_leapfrog_dEm.png | Bin 167245 -> 165244 bytes plots/3bodies_leapfrog_dL2.png | Bin 125022 -> 39216 bytes plots/3bodies_leapfrog_dynsyst.gif | Bin 1251569 -> 815525 bytes plots/3bodies_mass_leapfrog_a_e.png | Bin 43281 -> 0 bytes plots/3bodies_mass_leapfrog_dEm.png | Bin 187676 -> 0 bytes plots/3bodies_mass_leapfrog_dL2.png | Bin 36417 -> 0 bytes plots/3bodies_psi80deg_leapfrog_a_e.png | Bin 37528 -> 0 bytes plots/3bodies_psi80deg_leapfrog_dEm.png | Bin 198102 -> 0 bytes plots/3bodies_psi80deg_leapfrog_dL2.png | Bin 37933 -> 0 bytes 26 files changed, 62 insertions(+), 62 deletions(-) create mode 100644 plots/2bodies_hermite_a_e.png create mode 100644 plots/3bodies_hermite_a_e.png delete mode 100644 plots/3bodies_mass_leapfrog_a_e.png delete mode 100644 plots/3bodies_mass_leapfrog_dEm.png delete mode 100644 plots/3bodies_mass_leapfrog_dL2.png delete mode 100644 plots/3bodies_psi80deg_leapfrog_a_e.png delete mode 100644 plots/3bodies_psi80deg_leapfrog_dEm.png delete mode 100644 plots/3bodies_psi80deg_leapfrog_dL2.png diff --git a/lib/LeapFrog.py b/lib/LeapFrog.py index 982f25b..5cfd77e 100644 --- a/lib/LeapFrog.py +++ b/lib/LeapFrog.py @@ -18,7 +18,7 @@ def Drift(dyn_syst, dt): def Kick(dyn_syst, dt): for body in dyn_syst.bodylist: - body.a = np.zeros(3) + body.a = np.zeros(3,dtype=np.longdouble) for otherbody in dyn_syst.bodylist: if body != otherbody: rij = np.linalg.norm(body.q - otherbody.q) @@ -43,10 +43,10 @@ def leapfrog(dyn_syst, bin_syst, duration, dt, recover_param=False, display=Fals d.launch(dyn_syst.blackstyle) N = np.ceil(duration / dt).astype(int) - E = np.zeros(N) - L = np.zeros((N, 3)) - sma = np.zeros(N) - ecc = np.zeros(N) + E = np.zeros(N,dtype=np.longdouble) + L = np.zeros((N, 3),dtype=np.longdouble) + sma = np.zeros(N,dtype=np.longdouble) + ecc = np.zeros(N,dtype=np.longdouble) for j in range(N): LP(dyn_syst,dt) @@ -58,9 +58,9 @@ def leapfrog(dyn_syst, bin_syst, duration, dt, recover_param=False, display=Fals if display and j % 10 == 0: # display progression if len(dyn_syst.bodylist) == 1: - d.on_running(dyn_syst, step=j, label="step {0:d}/{1:d}".format(j, N)) + d.on_running(dyn_syst, step=j, label="{0:.2f} years".format(j*dt)) else: - d.on_running(dyn_syst, step=j, label="step {0:d}/{1:d}".format(j, N)) + d.on_running(dyn_syst, step=j, label="{0:.2f} years".format(j*dt)) if display: d.close() if not savename is None: diff --git a/lib/hermite.py b/lib/hermite.py index 62022b4..ca1e510 100644 --- a/lib/hermite.py +++ b/lib/hermite.py @@ -13,23 +13,23 @@ from lib.units import * def Update_a(dyn_syst): # update acceleration of bodies in system for body in dyn_syst.bodylist: - body.a = np.zeros(3) + body.a = np.zeros(3,dtype=np.longdouble) for otherbody in dyn_syst.bodylist: if body != otherbody: rij = np.linalg.norm(body.q - otherbody.q) - body.a = body.a - (body.q - otherbody.q) * G * otherbody.m / (rij ** 3) + body.a = body.a - (body.q - otherbody.q) * Ga * otherbody.m / (rij ** 3) def Update_j(dyn_syst): # update jerk of bodies in system for body in dyn_syst.bodylist: - body.j = np.zeros(3) + body.j = np.zeros(3,dtype=np.longdouble) for otherbody in dyn_syst.bodylist: if body != otherbody: rij = np.linalg.norm(body.q - otherbody.q) deltav = (body.v - otherbody.v) deltar = (body.q - otherbody.q) vr = deltav + 3. * deltar * np.inner(deltav, deltar) / (rij ** 2) - body.j = body.j - G * otherbody.m / (rij ** 3) * vr + body.j = body.j - Ga * otherbody.m / (rij ** 3) * vr def Predict(dyn_syst, dt): # update predicted position and velocities of bodies in system @@ -40,23 +40,23 @@ def Predict(dyn_syst, dt): # update predicted position and velocities of bodies def Update_ap(dyn_syst): # update acceleration of bodies in system for body in dyn_syst.bodylist: - body.ap = np.zeros(3) + body.ap = np.zeros(3,dtype=np.longdouble) for otherbody in dyn_syst.bodylist: if body != otherbody: rij = np.linalg.norm(body.qp - otherbody.qp) - body.ap = body.ap - (body.qp - otherbody.qp) * G * otherbody.m / (rij ** 3) + body.ap = body.ap - (body.qp - otherbody.qp) * Ga * otherbody.m / (rij ** 3) def Update_jp(dyn_syst): # update jerk of bodies in system for body in dyn_syst.bodylist: - body.jp = np.zeros(3) + body.jp = np.zeros(3,dtype=np.longdouble) for otherbody in dyn_syst.bodylist: if body != otherbody: rij = np.linalg.norm(body.qp - otherbody.qp) deltav = (body.vp - otherbody.vp) deltar = (body.qp - otherbody.qp) vr = deltav + 3. * deltar * np.inner(deltav, deltar) / (rij ** 2) - body.jp = body.jp - G * otherbody.m / (rij ** 3) * vr + body.jp = body.jp - Ga * otherbody.m / (rij ** 3) * vr def Correct(dyn_syst, dt): # correct position and velocities of bodies in system @@ -69,7 +69,7 @@ def Correct(dyn_syst, dt): # correct position and velocities of bodies in syste def HPC(dyn_syst, dt): # update position and velocities of bodies in system with hermite predictor corrector - COMShift(dyn_syst) + dyn_syst.COMShift() Update_a(dyn_syst) Update_j(dyn_syst) Predict(dyn_syst, dt) @@ -79,7 +79,7 @@ def HPC(dyn_syst, dt): # update position and velocities of bodies in system wit dyn_syst.time = dyn_syst.time + dt -def hermite(dyn_syst, duration, dt, recover_param=False, display=False, savename=None): +def hermite(dyn_syst, bin_syst, duration, dt, recover_param=False, display=False, savename=None): if display: try: system("mkdir tmp") @@ -89,10 +89,10 @@ def hermite(dyn_syst, duration, dt, recover_param=False, display=False, savename d.launch(dyn_syst.blackstyle) N = np.ceil(duration / dt).astype(int) - E = np.zeros(N) - L = np.zeros((N, 3)) - sma = np.zeros(N) - ecc = np.zeros(N) + E = np.zeros(N,dtype=np.longdouble) + L = np.zeros((N, 3),dtype=np.longdouble) + sma = np.zeros(N,dtype=np.longdouble) + ecc = np.zeros(N,dtype=np.longdouble) for j in range(N): HPC(dyn_syst, dt) @@ -105,9 +105,9 @@ def hermite(dyn_syst, duration, dt, recover_param=False, display=False, savename if display and j % 10 == 0: # display progression if len(dyn_syst.bodylist) == 1: - d.on_running(dyn_syst, step=j, label="step {0:d}/{1:d}".format(j, N)) + d.on_running(dyn_syst, step=j, label="{0:.2f} yearq".format(j*dt)) else: - d.on_running(dyn_syst, step=j, label="step {0:d}/{1:d}".format(j, N)) + d.on_running(dyn_syst, step=j, label="{0:.2f} years".format(j*dt)) if display: d.close() if not savename is None: diff --git a/lib/objects.py b/lib/objects.py index 6d7db93..d0e2893 100755 --- a/lib/objects.py +++ b/lib/objects.py @@ -14,12 +14,12 @@ class Body: self.m = mass self.q = position self.v = velocity - self.a = np.zeros(3) - self.ap = np.zeros(3) - self.j = np.zeros(3) - self.jp = np.zeros(3) - self.qp = np.zeros(3) - self.vp = np.zeros(3) + self.a = np.zeros(3,dtype=np.longdouble) + self.ap = np.zeros(3,dtype=np.longdouble) + self.j = np.zeros(3,dtype=np.longdouble) + self.jp = np.zeros(3,dtype=np.longdouble) + self.qp = np.zeros(3,dtype=np.longdouble) + self.vp = np.zeros(3,dtype=np.longdouble) def __repr__(self): # Called upon "print(body)" return r"Body of mass: {0:.1e} $M_\odot$, position: {1}, velocity: {2}".format(self.m, self.q, self.v) @@ -51,27 +51,27 @@ class System(Body): @property def get_masses(self): #return the masses of each object - return np.array([body.m for body in self.bodylist]) + return np.array([body.m for body in self.bodylist],dtype=np.longdouble) @property def get_positions(self): #return the positions of the bodies - 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]) + xdata = np.array([body.q[0] for body in self.bodylist],dtype=np.longdouble) + ydata = np.array([body.q[1] for body in self.bodylist],dtype=np.longdouble) + zdata = np.array([body.q[2] for body in self.bodylist],dtype=np.longdouble) return xdata, ydata, zdata @property def get_velocities(self): #return the positions of the bodies - vxdata = np.array([body.v[0] for body in self.bodylist]) - vydata = np.array([body.v[1] for body in self.bodylist]) - vzdata = np.array([body.v[2] for body in self.bodylist]) + vxdata = np.array([body.v[0] for body in self.bodylist],dtype=np.longdouble) + vydata = np.array([body.v[1] for body in self.bodylist],dtype=np.longdouble) + vzdata = np.array([body.v[2] for body in self.bodylist],dtype=np.longdouble) return vxdata, vydata, vzdata @property def get_momenta(self): #return the momenta of the bodies - pxdata = np.array([body.p[0] for body in self.bodylist]) - pydata = np.array([body.p[1] for body in self.bodylist]) - pzdata = np.array([body.p[2] for body in self.bodylist]) + pxdata = np.array([body.p[0] for body in self.bodylist],dtype=np.longdouble) + pydata = np.array([body.p[1] for body in self.bodylist],dtype=np.longdouble) + pzdata = np.array([body.p[2] for body in self.bodylist],dtype=np.longdouble) return pxdata, pydata, pzdata @property @@ -91,7 +91,7 @@ class System(Body): @property def COM(self): #return center of mass in cartesian np_array - coord = np.zeros(3) + coord = np.zeros(3,dtype=np.longdouble) for body in self.bodylist: coord = coord + body.m*body.q coord = coord/self.M @@ -99,7 +99,7 @@ class System(Body): @property def COMV(self): #return center of mass velocity in cartesian np_array - coord = np.zeros(3) + coord = np.zeros(3,dtype=np.longdouble) for body in self.bodylist: coord = coord + body.m*body.v coord = coord/self.M @@ -112,7 +112,7 @@ class System(Body): @property def LCOM(self): #return angular momentum of the center of mass - LCOM = np.zeros(3) + LCOM = np.zeros(3,dtype=np.longdouble) dr = self.bodylist[0].m/self.mu*self.bodylist[0].q dv = self.bodylist[0].m/self.mu*self.bodylist[0].v LCOM = self.mu*np.cross(dr,dv) @@ -127,7 +127,7 @@ class System(Body): @property def L(self): #return angular momentum of bodies in system - L = np.zeros(3) + L = np.zeros(3,dtype=np.longdouble) for body in self.bodylist: L = L + np.cross(body.q,body.p) return L diff --git a/lib/plots.py b/lib/plots.py index c9a727f..c645018 100755 --- a/lib/plots.py +++ b/lib/plots.py @@ -115,7 +115,7 @@ def display_parameters(E,L,sma,ecc,parameters,savename=""): fig1 = plt.figure(figsize=(15,7)) ax1 = fig1.add_subplot(111) for i in range(len(E)): - ax1.plot(np.arange(E[i].shape[0])*step[i], np.abs((E[i]-E[i][0])/E[i][0]), label="step of {0:.2e}yr".format(step[i])) + ax1.plot(np.arange(E[i].shape[0]-1)*step[i], np.abs((E[i][1:]-E[i][0])/E[i][0]), label="step of {0:.2e}yr".format(step[i])) ax1.set(xlabel=r"$t \, [yr]$", ylabel=r"$\left|\frac{\delta E_m}{E_m(t=0)}\right|$", yscale='log') ax1.legend() fig1.suptitle(title1.format("mechanical energy")+title2) @@ -126,7 +126,7 @@ def display_parameters(E,L,sma,ecc,parameters,savename=""): for i in range(len(L)): dL = ((L[i]-L[i][0])/L[i][0]) dL[np.isnan(dL)] = 0. - ax2.plot(np.arange(L[i].shape[0])*step[i], np.abs(np.sum(dL,axis=1)), label="step of {0:.2e}yr".format(step[i])) + ax2.plot(np.arange(L[i].shape[0]-1)*step[i], np.abs(np.sum(dL[1:],axis=1)), label="step of {0:.2e}yr".format(step[i])) ax2.set(xlabel=r"$t \, [yr]$", ylabel=r"$\left|\frac{\delta \vec{L}}{\vec{L}(t=0)}\right|$",yscale='log') ax2.legend() fig2.suptitle(title1.format("kinetic moment")+title2) diff --git a/lib/units.py b/lib/units.py index 667632f..db33ba9 100644 --- a/lib/units.py +++ b/lib/units.py @@ -8,4 +8,4 @@ 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 -globals()['Ga'] = G*Ms*yr**2/au**3 #Gravitational constant adimensionned \ No newline at end of file +globals()['Ga'] = G*Ms*yr**2/au**3 #Gravitational constant dimensionless \ No newline at end of file diff --git a/main.py b/main.py index fbf0b0b..4fb0ef7 100755 --- a/main.py +++ b/main.py @@ -11,28 +11,28 @@ from lib.units import * def main(): #initialisation - m = np.array([1., 1., 1e-5])*Ms/Ms # Masses in Solar mass - a = np.array([1., 1., 5.])*au/au # Semi-major axis in astronomical units - e = np.array([0., 0., 1./4.]) # Eccentricity - psi = np.array([0., 0., 0.])*np.pi/180. # Inclination of the orbital plane in degrees + m = np.array([1., 1., 1e-1],dtype=np.longdouble)*Ms/Ms # Masses in Solar mass + a = np.array([1., 1., 5.],dtype=np.longdouble)*au/au # Semi-major axis in astronomical units + e = np.array([0., 0., 0.],dtype=np.longdouble) # Eccentricity + psi = np.array([0., 0., 0.],dtype=np.longdouble)*np.pi/180. # Inclination of the orbital plane in degrees - x1 = np.array([0., -1., 0.])*a[0]*(1.+e[0]) - x2 = np.array([0., 1., 0.])*a[1]*(1.+e[1]) - x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])])*a[2]*(1.+e[2]) - q = np.array([x1, x2, x3]) + x1 = np.array([0., -1., 0.],dtype=np.longdouble)*a[0]*(1.+e[0]) + x2 = np.array([0., 1., 0.],dtype=np.longdouble)*a[1]*(1.+e[1]) + x3 = np.array([np.cos(psi[2]), 0., np.sin(psi[2])],dtype=np.longdouble)*a[2]*(1.+e[2]) + q = np.array([x1, x2, x3],dtype=np.longdouble) - v1 = np.array([np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) - v2 = np.array([-np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.]) - v3 = np.array([0., np.sqrt(Ga*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.]) - v = np.array([v1, v2, v3]) + v1 = np.array([np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble) + v2 = np.array([-np.sqrt(Ga*m[0]*m[1]/((m[0]+m[1])*np.sqrt(np.sum((q[0]-q[1])**2)))), 0., 0.],dtype=np.longdouble) + v3 = np.array([0., np.sqrt(Ga*(m[0]+m[1])*(2./np.sqrt(np.sum(q[2]**2))-1./a[2])), 0.],dtype=np.longdouble) + v = np.array([v1, v2, v3],dtype=np.longdouble) #integration parameters - duration, step = 100*yr/yr, np.array([1./(365.25*2.), 1./(365.25*1.), 5./(365.25*1.)])*yr/yr #integration time and step in years - step = np.sort(step) - integrator = "leapfrog" + duration, step = 100*yr/yr, np.array([1./(365.25*2.), 1./(365.25*1.), 5./(365.25*1.)],dtype=np.longdouble)*yr/yr #integration time and step in years + step = np.sort(step)[::-1] + integrator = "hermite" n_bodies = 3 display = False - savename = "{0:d}bodies_mass_{1:s}".format(n_bodies, integrator) + savename = "{0:d}bodies_{1:s}".format(n_bodies, integrator) #simulation start E, L = [], [] diff --git a/plots/2bodies_hermite_a_e.png b/plots/2bodies_hermite_a_e.png new file mode 100644 index 0000000000000000000000000000000000000000..aa61dacb45f31efb071fce91f2007ebbeb58f3da GIT binary patch literal 37691 zcmeFZ2T+ySwl#`v+qO37={A9gwhAgDq97n3&?bT)NY2oxWY{24KtS6TS_K3oNLI;N zNgLP%6(t8HO4uNhvt$8*Hx~3c_uf}8)qCewy}#;m>(r%Xhwoe8T62y$#+dW|6*)?tJUf%u4A*zfrM(hsBmqmJp$yD)yZpe)M8L`c{xdNO_A3 z2WNoNEv-w>fALc~62RW;-}9u`M@i^j-z_l<=1_~~@vTKJtwxcx*|kQgY+rIZDKvxT zeixnQVJE%j#p0O}VRgph6W`-H@bhXrC0A$dR|c!Y`>ocm{Vsdq6S-;pJo)Pt)7oz* ze!j!H_S^3Vz7t&g?bU_vDQmyozW*Z@YxQT_&pGSXemivF|M&wPJcId+Dz3g9c>nBt zuFeA$-Q;o&>b22>5}rQqu9lDTP9`Uh)rXzgDPY-=?9RlRc;(r-boFDcg)Yw7Y1_&y 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