More debugging. Temporarily disabled phase shifting
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@ -9,6 +9,7 @@ def fourier_analysis(borg_vol):
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def half_pixel_shift(borg):
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def half_pixel_shift(borg):
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dhat,L,N = fourier_analysis(borg)
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dhat,L,N = fourier_analysis(borg)
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return dhat, L
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ik = np.fft.fftfreq(N,d=L/N)*2*np.pi
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ik = np.fft.fftfreq(N,d=L/N)*2*np.pi
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phi = 0.5*L/N*(ik[:,None,None]+ik[None,:,None]+ik[None,None,:(N/2+1)])
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phi = 0.5*L/N*(ik[:,None,None]+ik[None,:,None]+ik[None,None,:(N/2+1)])
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@ -50,7 +50,7 @@ def compute_ref_power(L, N, cosmo, bins=10, range=(0,1), func='HU_WIGGLES'):
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return bin_power(p.compute(k)*cosmo['h']**3, L, bins=bins, range=range)
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return bin_power(p.compute(k)*cosmo['h']**3, L, bins=bins, range=range)
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def run_generation(input_borg, a_borg, a_ic, **cosmo):
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def run_generation(input_borg, a_borg, a_ic, cosmo, supersample=1, do_lpt2=True):
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""" Generate particles and velocities from a BORG snapshot. Returns a tuple of
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""" Generate particles and velocities from a BORG snapshot. Returns a tuple of
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(positions,velocities,N,BoxSize,scale_factor)."""
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(positions,velocities,N,BoxSize,scale_factor)."""
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@ -61,10 +61,10 @@ def run_generation(input_borg, a_borg, a_ic, **cosmo):
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density_hat, L = ba.half_pixel_shift(borg_vol)
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density_hat, L = ba.half_pixel_shift(borg_vol)
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lpt = LagrangianPerturbation(density_hat, L, fourier=True)
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lpt = LagrangianPerturbation(density_hat, L, fourier=True, supersample=supersample)
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# Generate grid
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# Generate grid
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posq = gen_posgrid(N, L)
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posq = gen_posgrid(N*supersample, L)
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vel= []
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vel= []
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posx = []
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posx = []
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@ -73,11 +73,15 @@ def run_generation(input_borg, a_borg, a_ic, **cosmo):
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D1_0 = D1/cgrowth.D(a_borg)
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D1_0 = D1/cgrowth.D(a_borg)
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velmul = cgrowth.compute_velmul(a_ic)*D1_0
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velmul = cgrowth.compute_velmul(a_ic)*D1_0
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D2 = 3./7 * D1**2
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D2 = -3./7 * D1_0**2
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for j in xrange(3):
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for j in xrange(3):
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# Generate psi_j (displacement along j)
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# Generate psi_j (displacement along j)
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print("LPT1 axis=%d" % j)
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psi = D1_0*lpt.lpt1(j).flatten()
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psi = D1_0*lpt.lpt1(j).flatten()
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if do_lpt2:
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print("LPT2 axis=%d" % j)
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psi += D2 * lpt.lpt2(j).flatten()
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# Generate posx
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# Generate posx
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posx.append(((posq[j] + psi)%L).astype(np.float32))
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posx.append(((posq[j] + psi)%L).astype(np.float32))
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# Generate vel
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# Generate vel
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@ -42,13 +42,29 @@ class CosmoGrowth(object):
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class LagrangianPerturbation(object):
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class LagrangianPerturbation(object):
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def __init__(self,density,L, fourier=False):
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def __init__(self,density,L, fourier=False, supersample=1):
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self.L = L
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self.L = L
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self.N = density.shape[0]
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self.N = density.shape[0]
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self.dhat = np.fft.rfftn(density)*(L/self.N)**3 if not fourier else density
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self.dhat = np.fft.rfftn(density)*(L/self.N)**3 if not fourier else density
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if supersample > 1:
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self.upgrade_sampling(supersample)
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self.ik = np.fft.fftfreq(self.N, d=L/self.N)*2*np.pi
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self.ik = np.fft.fftfreq(self.N, d=L/self.N)*2*np.pi
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self.cache = weakref.WeakValueDictionary()
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self.cache = {}#weakref.WeakValueDictionary()
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def upgrade_sampling(self, supersample):
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N2 = self.N * supersample
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N = self.N
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dhat_new = np.zeros((N2, N2, N2/2+1), dtype=np.complex128)
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hN = N/2
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dhat_new[:hN, :hN, :hN+1] = self.dhat[:hN, :hN, :]
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dhat_new[:hN, (N2-hN):N2, :hN+1] = self.dhat[:hN, hN:, :]
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dhat_new[(N2-hN):N2, (N2-hN):N2, :hN+1] = self.dhat[hN:, hN:, :]
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dhat_new[(N2-hN):N2, :hN, :hN+1] = self.dhat[hN:, :hN, :]
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self.dhat = dhat_new
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self.N = N2
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def _gradient(self, phi, direction):
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def _gradient(self, phi, direction):
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return np.fft.irfftn(self._kdir(direction)*1j*phi)*(self.N/self.L)**3
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return np.fft.irfftn(self._kdir(direction)*1j*phi)*(self.N/self.L)**3
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@ -85,15 +101,16 @@ class LagrangianPerturbation(object):
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k2[0,0,0] = 1
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k2[0,0,0] = 1
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if 'lpt2_potential' not in self.cache:
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if 'lpt2_potential' not in self.cache:
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div_phi2 = np.zeros((N,N,N), dtype=np.float64)
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print("Rebuilding potential...")
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div_phi2 = np.zeros((self.N,self.N,self.N), dtype=np.float64)
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for j in xrange(3):
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for j in xrange(3):
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q = np.fft.irfftn( build_dir(ik, j)**2*self.dhat / k2 )
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q = np.fft.irfftn( self._kdir(j)**2*self.dhat / k2 )
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for i in xrange(j+1, 3):
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for i in xrange(j+1, 3):
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div_phi2 += q * np.fft.irfftn( build_dir(ik, i)**2*self.dhat / k2 )
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div_phi2 += q * np.fft.irfftn( self._kdir(i)**2*self.dhat / k2 )
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div_phi2 -= (np.fft.irfftn( build_dir(ik, j)*build_dir(ik, i)*self.dhat / k2 ))**2
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div_phi2 -= (np.fft.irfftn( self._kdir(j)*self._kdir(i)*self.dhat / k2 ))**2
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div_phi2 *= (self.N/self.L)**3
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div_phi2 *= (self.N/self.L)**6
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phi2_hat = np.fft.rfftn(div_phi2) * ((L/N)**3) / k2
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phi2_hat = np.fft.rfftn(div_phi2) * ((self.L/self.N)**3) / k2
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self.cache['lpt2_potential'] = phi2_hat
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self.cache['lpt2_potential'] = phi2_hat
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del div_phi2
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del div_phi2
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else:
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else:
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@ -1,3 +1,4 @@
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import numpy as np
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import cosmotool as ct
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import cosmotool as ct
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import borgicgen as bic
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import borgicgen as bic
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@ -7,12 +8,23 @@ cosmo['omega_k_0'] = 0
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cosmo['omega_B_0']=0.049
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cosmo['omega_B_0']=0.049
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cosmo['SIGMA8']=0.8344
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cosmo['SIGMA8']=0.8344
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zstart=0
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TestCase=True
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zstart=10
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astart=1/(1.+zstart)
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astart=1/(1.+zstart)
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pos,_,density,N,L,_ = bic.run_generation("initial_condition_borg.dat", 0.001, astart, **cosmo)
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if TestCase:
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pos,_,density,N,L,_ = bic.run_generation("initial_condition_borg.dat", 0.001, astart, cosmo, supersample=1, do_lpt2=True)
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dcic = ct.cicParticles(pos, L, N)
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dcic = ct.cicParticles(pos, L, N)
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dcic /= np.average(np.average(np.average(dcic, axis=0), axis=0), axis=0)
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dcic -= 1
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#if __name__=="__main__":
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dcic_hat = np.fft.rfftn(dcic)*(L/N)**3
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# bic.write_icfiles(*bic.run_generation("initial_condition_borg.dat", 0.001, astart, **cosmo), **cosmo)
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Pcic, bcic = bic.bin_power(np.abs(dcic_hat)**2/L**3, L, bins=50)
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borg_evolved = ct.read_borg_vol("final_density_1380.dat")
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if __name__=="__main__":
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if not TestCase:
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bic.write_icfiles(*bic.run_generation("initial_condition_borg.dat", 0.001, astart, cosmo, do_lpt2=True), **cosmo)
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