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EiffL 2024-07-09 14:54:34 -04:00
parent 835fa89aec
commit f28442bb48
14 changed files with 565 additions and 445 deletions
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58
jaxpm/pm.py
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@ -1,11 +1,12 @@
import jax
import jax.numpy as jnp
import jax_cosmo as jc
from jaxpm.kernels import fftk, gradient_kernel, laplace_kernel, longrange_kernel, PGD_kernel
from jaxpm.growth import dGfa, growth_factor, growth_rate
from jaxpm.kernels import (PGD_kernel, fftk, gradient_kernel, laplace_kernel,
longrange_kernel)
from jaxpm.painting import cic_paint, cic_read
from jaxpm.growth import growth_factor, growth_rate, dGfa
def pm_forces(positions, mesh_shape=None, delta=None, r_split=0):
"""
@ -21,10 +22,14 @@ def pm_forces(positions, mesh_shape=None, delta=None, r_split=0):
delta_k = jnp.fft.rfftn(delta)
# Computes gravitational potential
pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec, r_split=r_split)
pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec,
r_split=r_split)
# Computes gravitational forces
return jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), positions)
for i in range(3)],axis=-1)
return jnp.stack([
cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i) * pot_k), positions)
for i in range(3)
],
axis=-1)
def lpt(cosmo, initial_conditions, positions, a):
@ -34,25 +39,31 @@ def lpt(cosmo, initial_conditions, positions, a):
initial_force = pm_forces(positions, delta=initial_conditions)
a = jnp.atleast_1d(a)
dx = growth_factor(cosmo, a) * initial_force
p = a**2 * growth_rate(cosmo, a) * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dx
f = a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dGfa(cosmo, a) * initial_force
p = a**2 * growth_rate(cosmo, a) * jnp.sqrt(jc.background.Esqr(cosmo,
a)) * dx
f = a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dGfa(cosmo,
a) * initial_force
return dx, p, f
def linear_field(mesh_shape, box_size, pk, seed):
"""
Generate initial conditions.
"""
kvec = fftk(mesh_shape)
kmesh = sum((kk / box_size[i] * mesh_shape[i])**2 for i, kk in enumerate(kvec))**0.5
pkmesh = pk(kmesh) * (mesh_shape[0] * mesh_shape[1] * mesh_shape[2]) / (box_size[0] * box_size[1] * box_size[2])
kmesh = sum((kk / box_size[i] * mesh_shape[i])**2
for i, kk in enumerate(kvec))**0.5
pkmesh = pk(kmesh) * (mesh_shape[0] * mesh_shape[1] * mesh_shape[2]) / (
box_size[0] * box_size[1] * box_size[2])
field = jax.random.normal(seed, mesh_shape)
field = jnp.fft.rfftn(field) * pkmesh**0.5
field = jnp.fft.irfftn(field)
return field
def make_ode_fn(mesh_shape):
def nbody_ode(state, a, cosmo):
"""
state is a tuple (position, velocities)
@ -63,10 +74,10 @@ def make_ode_fn(mesh_shape):
# Computes the update of position (drift)
dpos = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * vel
# Computes the update of velocity (kick)
dvel = 1. / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * forces
return dpos, dvel
return nbody_ode
@ -84,13 +95,16 @@ def pgd_correction(pos, params):
delta = cic_paint(jnp.zeros(mesh_shape), pos)
alpha, kl, ks = params
delta_k = jnp.fft.rfftn(delta)
PGD_range=PGD_kernel(kvec, kl, ks)
pot_k_pgd=(delta_k * laplace_kernel(kvec))*PGD_range
PGD_range = PGD_kernel(kvec, kl, ks)
forces_pgd= jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k_pgd), pos)
for i in range(3)],axis=-1)
dpos_pgd = forces_pgd*alpha
return dpos_pgd
pot_k_pgd = (delta_k * laplace_kernel(kvec)) * PGD_range
forces_pgd = jnp.stack([
cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i) * pot_k_pgd), pos)
for i in range(3)
],
axis=-1)
dpos_pgd = forces_pgd * alpha
return dpos_pgd