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2 changed files with 91 additions and 82 deletions
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@ -6,7 +6,7 @@ from jax.experimental.maps import xmap
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from jax.experimental.pjit import pjit, PartitionSpec
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import jax_cosmo as jc
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import jaxpm as jpm
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import jaxpm.painting as paint
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# TODO: add a way to configure axis resources from command line
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axis_resources = {'x': 'nx', 'y': 'ny'}
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@ -24,7 +24,7 @@ def stack3d(a, b, c):
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@partial(xmap,
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in_axes=({0: 'x', 2: 'y'}),
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in_axes=({0: 'x', 2: 'y'},[...]),
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out_axes=({0: 'x', 2: 'y'}),
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axis_resources=axis_resources)
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def scalar_multiply(a, factor):
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@ -41,8 +41,8 @@ def add(a, b):
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@partial(xmap,
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in_axes=['x', 'y'],
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out_axes=['x', 'y'],
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in_axes=['x', 'y',...],
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out_axes=['x', 'y',...],
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axis_resources=axis_resources)
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def fft3d(mesh):
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""" Performs a 3D complex Fourier transform
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@ -62,8 +62,8 @@ def fft3d(mesh):
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@partial(xmap,
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in_axes=['x', 'y'],
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out_axes=['x', 'y'],
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in_axes=['x', 'y',...],
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out_axes=['x', 'y',...],
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axis_resources=axis_resources)
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def ifft3d(mesh):
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mesh = jnp.fft.ifft(mesh)
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@ -72,12 +72,12 @@ def ifft3d(mesh):
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mesh = lax.all_to_all(mesh, 'x', 0, 0)
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return jnp.fft.ifft(mesh).real
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def normal(key, shape=[]):
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@partial(xmap,
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in_axes=['x', 'y'],
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in_axes=['x', 'y',...],
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out_axes={0: 'x', 2: 'y'},
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axis_resources=axis_resources)
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def normal(key, shape):
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def fn(key):
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""" Generate a distributed random normal distributions
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Args:
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key: array of random keys with same layout as computational mesh
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@ -85,11 +85,12 @@ def normal(key, shape):
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"""
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return jax.random.normal(key, shape=[shape[0]//mesh_size['nx'],
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shape[1]//mesh_size['ny']]+shape[2:])
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return fn(key)
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@partial(xmap,
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in_axes=(['x', 'y', ...],
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[['x'], ['y'], ...]),
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[['x'], ['y'], [...]], [...], [...]),
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out_axes=['x', 'y', ...],
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axis_resources=axis_resources)
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@jax.jit
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@ -124,21 +125,24 @@ def meshgrid(x, y, z):
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""" Generates a mesh grid of appropriate size for the
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computational mesh we have.
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"""
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return jnp.stack(jnp.meshgrid(x, y, z), axis=-1)
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return jnp.stack(jnp.meshgrid(x,
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y,
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z), axis=-1)
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def cic_paint(pos, mesh_shape, halo_size=0):
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@partial(xmap,
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in_axes=({0: 'x', 2: 'y'}),
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out_axes=({0: 'x', 2: 'y'}),
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axis_resources=axis_resources)
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def cic_paint(pos, mesh_shape, halo_size=0):
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def fn(pos):
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mesh = jnp.zeros([mesh_shape[0]//mesh_size['nx']+2*halo_size,
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mesh_shape[1]//mesh_size['ny']+2*halo_size]
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+ mesh_shape[2:])
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# Paint particles
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mesh = jpm.cic_paint(mesh, pos.reshape(-1, 3) +
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mesh = paint.cic_paint(mesh, pos.reshape(-1, 3) +
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jnp.array([halo_size, halo_size, 0]).reshape([-1, 3]))
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# Perform halo exchange
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@ -165,13 +169,15 @@ def cic_paint(pos, mesh_shape, halo_size=0):
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# removing halo and returning mesh
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return mesh[halo_size:-halo_size, halo_size:-halo_size]
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return fn(pos)
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def cic_read(mesh, pos, halo_size=0):
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@partial(xmap,
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in_axes=({0: 'x', 2: 'y'},
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{0: 'x', 2: 'y'}),
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{0: 'x', 2: 'y'},),
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out_axes=({0: 'x', 2: 'y'}),
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axis_resources=axis_resources)
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def cic_read(mesh, pos, halo_size):
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def fn(mesh, pos):
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# Halo exchange to grab neighboring borders
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# Exchange along x
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@ -192,10 +198,12 @@ def cic_read(mesh, pos, halo_size):
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mesh = jnp.concatenate([left, mesh, right], axis=1)
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# Reading field at particles positions
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res = jpm.painting.cic_read(mesh, pos.reshape(-1, 3) +
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res = paint.cic_read(mesh, pos.reshape(-1, 3) +
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jnp.array([halo_size, halo_size, 0]).reshape([-1, 3]))
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return res
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return res.reshape(pos.shape[:-1])
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return fn(mesh, pos)
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@partial(pjit,
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@ -16,7 +16,7 @@ def pm_forces(positions, mesh_shape=None, delta_k=None, halo_size=16):
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"""
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if mesh_shape is None:
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mesh_shape = delta_k.shape
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kvec = [k.squeeze() for k in fftk(mesh_shape)]
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kvec = [k.squeeze() for k in fftk(mesh_shape, symmetric=False)]
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if delta_k is None:
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delta = dops.cic_paint(positions, mesh_shape, halo_size)
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@ -38,7 +38,7 @@ def linear_field(cosmo, mesh_shape, box_size, seed, return_Fourier=True):
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"""
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# Sample normal field
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field = dops.normal(seed, mesh_shape)
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field = dops.normal(seed, shape=mesh_shape)
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# Go to Fourier space
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field = dops.fft3d(dops.reshape_split_to_dense(field))
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@ -64,8 +64,9 @@ def lpt(cosmo, initial_conditions, positions, a):
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Computes first order LPT displacement
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"""
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initial_force = pm_forces(positions, delta_k=initial_conditions)
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print(initial_force.shape)
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a = jnp.atleast_1d(a)
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dx = dops.scalar_multiply(initial_force * growth_factor(cosmo, a))
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dx = dops.scalar_multiply(initial_force, growth_factor(cosmo, a))
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p = dops.scalar_multiply(dx, a**2 * growth_rate(cosmo, a) *
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jnp.sqrt(jc.background.Esqr(cosmo, a)))
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return dx, p
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