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adding example of distributed solution
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5 changed files with 192 additions and 62 deletions
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@ -3,13 +3,25 @@ import jax.lax as lax
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import jax.numpy as jnp
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from jaxpm.kernels import cic_compensation, fftk
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from jax.sharding import PartitionSpec as P
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from functools import partial
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from jaxpm.distributed import autoshmap
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def cic_paint(mesh, positions, weight=None):
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@partial(autoshmap,
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in_specs=(P('x', 'y'), P('x','y'), P('x','y')),
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out_specs=P('x', 'y'))
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def cic_paint(mesh, displacement, weight=None):
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""" Paints positions onto mesh
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mesh: [nx, ny, nz]
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positions: [npart, 3]
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"""
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mesh: [nx, ny, nz]
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displacement field: [nx, ny, nz, 3]
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"""
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part_shape = displacement.shape
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positions = jnp.stack(jnp.meshgrid(
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jnp.arange(part_shape[0]),
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jnp.arange(part_shape[1]),
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jnp.arange(part_shape[2]),
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indexing='ij'), axis=-1) + displacement
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positions = positions.reshape([-1, 3])
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positions = jnp.expand_dims(positions, 1)
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floor = jnp.floor(positions)
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connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], [0., 0, 1],
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@ -34,11 +46,22 @@ def cic_paint(mesh, positions, weight=None):
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return mesh
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def cic_read(mesh, positions):
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@partial(autoshmap,
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in_specs=(P('x', 'y'), P('x','y')),
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out_specs=P('x', 'y'))
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def cic_read(mesh, displacement):
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""" Paints positions onto mesh
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mesh: [nx, ny, nz]
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positions: [npart, 3]
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displacement: [nx,ny,nz, 3]
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"""
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# Compute the position of the particles on a regular grid
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part_shape = displacement.shape
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positions = jnp.stack(jnp.meshgrid(
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jnp.arange(part_shape[0]),
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jnp.arange(part_shape[1]),
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jnp.arange(part_shape[2]),
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indexing='ij'), axis=-1) + displacement
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positions = positions.reshape([-1, 3])
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positions = jnp.expand_dims(positions, 1)
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floor = jnp.floor(positions)
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connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], [0., 0, 1],
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@ -52,7 +75,7 @@ def cic_read(mesh, positions):
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jnp.array(mesh.shape))
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return (mesh[neighboor_coords[..., 0], neighboor_coords[..., 1],
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neighboor_coords[..., 3]] * kernel).sum(axis=-1)
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neighboor_coords[..., 3]] * kernel).sum(axis=-1).reshape(displacement.shape[:-1])
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def cic_paint_2d(mesh, positions, weight):
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