Moved code. Reorganized more OO like
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8258bd0fe9
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688e4e20de
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import numpy as np
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import cosmolopy as cpy
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class CosmoGrowth:
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def __init__(self, **cosmo):
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self.cosmo = cosmo
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def D(self, a):
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return cpy.perturbation.fgrowth(1/a-1, self.cosmo['omega_M_0'], unnormed=True)
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def compute_E(self, a):
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om = self.cosmo['omega_M_0']
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ol = self.cosmo['omega_lambda_0']
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ok = self.cosmo['omega_k_0']
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E = np.sqrt(om/a**3 + ol + ok/a**2)
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H2 = -3*om/a**4 - 2*ok/a**3
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Eprime = 0.5*H2/E
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return E,Eprime
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def Ddot(self, a):
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E,Eprime = self.compute_E(a)
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D = self.D(a)
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Ddot_D = Eprime/E + 2.5 * self.cosmo['omega_M_0']/(a**3*E**2*D)
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Ddot_D *= a
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return Ddot_D
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def compute_velmul(self, a):
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E,_ = self.compute_E(a)
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velmul = self.Ddot(a)
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velmul *= 100 * a * E
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return velmul
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import cosmotool as ct
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import numpy as np
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import cosmolopy as cpy
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from cosmogrowth import *
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cosmo={'omega_M_0':0.3175, 'h':0.6711}
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cosmo['omega_lambda_0']=1-cosmo['omega_M_0']
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cosmo['omega_k_0'] = 0
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a_start=0.001
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z_start=1/a_start-1
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def fourier_analysis(borg_vol):
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L = (borg_vol.ranges[1]-borg_vol.ranges[0])
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N = borg_vol.density.shape[0]
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return np.fft.rfftn(borg_vol.density)*(L/N)**3, L, N
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def half_pixel_shift(borg):
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dhat,L,N = fourier_analysis(borg)
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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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phase = np.cos(phi)+1j*np.sin(phi)
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return dhat*phase, L
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def new_shape(N, direction, q=3):
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return ((1,)*direction) + (N,) + ((1,)*(q-1-direction))
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def build_dir(ik, direction, q=3):
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if direction != q-1:
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return ik.reshape(new_shape(ik.size, direction, q=q))
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else:
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N = ik.size/2+1
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return ik[:N].reshape(new_shape(N, direction, q=q))
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def get_k2(ik, q=3):
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N = ik.size
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k2 = (ik.reshape(new_shape(N, 0, q=q))**2)
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for d in xrange(1,q):
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k2 = k2 + build_dir(ik, d, q=q)**2
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return k2
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def get_displacement(dhat, L, direction=0):
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N = dhat.shape[0]
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ik = np.fft.fftfreq(N,d=1.0/N)*2*np.pi/L
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k2 = get_k2(ik)
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k2[0,0,0] = 1
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return -build_dir(ik, direction)*1j*dhat / k2
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def gen_posgrid(N, L):
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ix = np.arange(N)*L/N
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x = ix[:,None,None].repeat(N, axis=1).repeat(N, axis=2)
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y = ix[None,:,None].repeat(N, axis=0).repeat(N, axis=2)
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z = ix[None,None,:].repeat(N, axis=0).repeat(N, axis=1)
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return x.flatten(), y.flatten(), z.flatten()
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def run_generation(input_borg, a_ic):
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borg_vol = ct.read_borg_vol(input_borg)
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N = borg_vol.density.shape[0]
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cgrowth = CosmoGrowth(**cosmo)
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density_hat, L = half_pixel_shift(borg_vol)
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posq = gen_posgrid(N, L)
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vel= []
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posx = []
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velmul = cgrowth.compute_velmul(a_start)
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D1 = cgrowth.D(a_ic)
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D1_0 = D1/cgrowth.D(a_start)
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D2 = 3./7 * D1**2
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for j in xrange(3):
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psi = D1_0*np.fft.irfftn(get_displacement(density_hat, L, direction=j)).flatten()*(N/L)**3
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posx.append(((posq[j] + psi)%L).astype(np.float32))
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vel.append((psi*velmul).astype(np.float32))
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return posx,vel,N,L,a_ic
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def write_icfiles(*generated_ic):
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posx,vel,N,L,a_ic = generated_ic
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ct.simpleWriteGadget("borg.gad", posx, velocities=vel, boxsize=L, Hubble=cosmo['h'], Omega_M=cosmo['omega_M_0'], time=a_ic)
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for i,c in enumerate(['x','y','z']):
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ct.writeGrafic("borg.ic_velc%s" % c, vel[i].reshape((N,N,N)), L, a_ic, **cosmo)
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if __name__=="__main__":
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write_icfiles(*run_generation("initial_condition_borg.dat", 1.0))
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18
python_sample/icgen/borgadaptor.py
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python_sample/icgen/borgadaptor.py
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import numpy as np
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def fourier_analysis(borg_vol):
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L = (borg_vol.ranges[1]-borg_vol.ranges[0])
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N = borg_vol.density.shape[0]
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return np.fft.rfftn(borg_vol.density)*(L/N)**3, L, N
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def half_pixel_shift(borg):
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dhat,L,N = fourier_analysis(borg)
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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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phase = np.cos(phi)+1j*np.sin(phi)
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return dhat*phase, L
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61
python_sample/icgen/borgicgen.py
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python_sample/icgen/borgicgen.py
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import cosmotool as ct
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import numpy as np
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import cosmolopy as cpy
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from cosmogrowth import *
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import borgadaptor as ba
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def gen_posgrid(N, L):
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""" Generate an ordered lagrangian grid"""
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ix = np.arange(N)*L/N
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x = ix[:,None,None].repeat(N, axis=1).repeat(N, axis=2)
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y = ix[None,:,None].repeat(N, axis=0).repeat(N, axis=2)
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z = ix[None,None,:].repeat(N, axis=0).repeat(N, axis=1)
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return x.flatten(), y.flatten(), z.flatten()
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def run_generation(input_borg, a_borg, a_ic, **cosmo):
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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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borg_vol = ct.read_borg_vol(input_borg)
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N = borg_vol.density.shape[0]
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cgrowth = CosmoGrowth(**cosmo)
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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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# Generate grid
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posq = gen_posgrid(N, L)
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vel= []
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posx = []
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# Compute LPT scaling coefficient
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D1 = cgrowth.D(a_ic)
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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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D2 = 3./7 * D1**2
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for j in xrange(3):
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# Generate psi_j (displacement along j)
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psi = D1_0*lpt.lpt1(j).flatten()*(N/L)**3
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# Generate posx
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posx.append(((posq[j] + psi)%L).astype(np.float32))
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# Generate vel
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vel.append((psi*velmul).astype(np.float32))
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return posx,vel,N,L,a_ic
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def write_icfiles(*generated_ic, **cosmo):
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"""Write the initial conditions from the tuple returned by run_generation"""
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posx,vel,N,L,a_ic = generated_ic
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ct.simpleWriteGadget("borg.gad", posx, velocities=vel, boxsize=L, Hubble=cosmo['h'], Omega_M=cosmo['omega_M_0'], time=a_ic)
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for i,c in enumerate(['x','y','z']):
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ct.writeGrafic("borg.ic_velc%s" % c, vel[i].reshape((N,N,N)), L, a_ic, **cosmo)
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102
python_sample/icgen/cosmogrowth.py
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python_sample/icgen/cosmogrowth.py
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import weakref
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import numpy as np
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import cosmolopy as cpy
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class CosmoGrowth(object):
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def __init__(self, **cosmo):
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self.cosmo = cosmo
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def D(self, a):
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return cpy.perturbation.fgrowth(1/a-1, self.cosmo['omega_M_0'], unnormed=True)
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def compute_E(self, a):
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om = self.cosmo['omega_M_0']
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ol = self.cosmo['omega_lambda_0']
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ok = self.cosmo['omega_k_0']
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E = np.sqrt(om/a**3 + ol + ok/a**2)
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H2 = -3*om/a**4 - 2*ok/a**3
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Eprime = 0.5*H2/E
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return E,Eprime
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def Ddot(self, a):
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E,Eprime = self.compute_E(a)
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D = self.D(a)
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Ddot_D = Eprime/E + 2.5 * self.cosmo['omega_M_0']/(a**3*E**2*D)
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Ddot_D *= a
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return Ddot_D
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def compute_velmul(self, a):
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E,_ = self.compute_E(a)
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velmul = self.Ddot(a)
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velmul *= 100 * a * E
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return velmul
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class LagrangianPerturbation(object):
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def __init__(self,density,L, fourier=False):
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self.L = L
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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.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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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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def lpt1(self, direction=0):
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k2 = self._get_k2()
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k2[0,0,0] = 1
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return self._gradient(-self.dhat/k2, direction)
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def new_shape(self,direction, q=3, half=False):
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N0 = (self.N/2+1) if half else self.N
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return ((1,)*direction) + (N0,) + ((1,)*(q-1-direction))
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def _kdir(self, direction, q=3):
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if direction != q-1:
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return self.ik.reshape(self.new_shape(direction, q=q))
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else:
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return self.ik[:self.N/2+1].reshape(self.new_shape(direction, q=q, half=True))
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def _get_k2(self, q=3):
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if 'k2' in self.cache:
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return self.cache['k2']
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k2 = self._kdir(0, q=q)**2
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for d in xrange(1,q):
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k2 = k2 + self._kdir(d, q=q)**2
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self.cache['k2'] = k2
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return k2
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def lpt2(self, direction=0):
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k2 = self._get_k2()
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k2[0,0,0] = 1
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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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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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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 -= (np.fft.irfftn( build_dir(ik, j)*build_dir(ik, i)*self.dhat / k2 ))**2
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div_phi2 *= (self.N/self.L)**3
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phi2_hat = np.fft.rfftn(div_phi2) * ((L/N)**3) / k2
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self.cache['lpt2_potential'] = phi2_hat
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del div_phi2
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else:
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phi2_hat = self.cache['lpt2_potential']
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return self._gradient(phi2_hat, direction)
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11
python_sample/icgen/gen_ic_from_borg.py
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11
python_sample/icgen/gen_ic_from_borg.py
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import borgicgen as bic
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cosmo={'omega_M_0':0.3175, 'h':0.6711}
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cosmo['omega_lambda_0']=1-cosmo['omega_M_0']
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cosmo['omega_k_0'] = 0
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zstart=50
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astart=1/(1.+zstart)
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if __name__=="__main__":
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bic.write_icfiles(*bic.run_generation("initial_condition_borg.dat", 0.001, astart, **cosmo), **cosmo)
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