mirror of
https://github.com/DifferentiableUniverseInitiative/JaxPM.git
synced 2025-02-23 10:00:54 +00:00
201 lines
6.5 KiB
Python
201 lines
6.5 KiB
Python
from typing import Any, Callable, Hashable
|
|
|
|
Specs = Any
|
|
AxisName = Hashable
|
|
|
|
from functools import partial
|
|
|
|
import jax
|
|
import jax.numpy as jnp
|
|
import jaxdecomp
|
|
from jax import lax
|
|
from jax.experimental.shard_map import shard_map
|
|
from jax.sharding import AbstractMesh, Mesh
|
|
from jax.sharding import PartitionSpec as P
|
|
|
|
|
|
def autoshmap(
|
|
f: Callable,
|
|
gpu_mesh: Mesh | AbstractMesh | None,
|
|
in_specs: Specs,
|
|
out_specs: Specs,
|
|
check_rep: bool = False,
|
|
auto: frozenset[AxisName] = frozenset()) -> Callable:
|
|
"""Helper function to wrap the provided function in a shard map if
|
|
the code is being executed in a mesh context."""
|
|
if gpu_mesh is None or gpu_mesh.empty:
|
|
return f
|
|
else:
|
|
return shard_map(f, gpu_mesh, in_specs, out_specs, check_rep, auto)
|
|
|
|
|
|
def fft3d(x):
|
|
return jaxdecomp.pfft3d(x)
|
|
|
|
|
|
def ifft3d(x):
|
|
return jaxdecomp.pifft3d(x).real
|
|
|
|
|
|
def get_halo_size(halo_size, sharding):
|
|
gpu_mesh = sharding.mesh if sharding is not None else None
|
|
if gpu_mesh is None or gpu_mesh.empty:
|
|
zero_ext = (0, 0)
|
|
zero_tuple = (0, 0)
|
|
return (zero_tuple, zero_tuple, zero_tuple), zero_ext
|
|
else:
|
|
pdims = gpu_mesh.devices.shape
|
|
halo_x = (0, 0) if pdims[0] == 1 else (halo_size, halo_size)
|
|
halo_y = (0, 0) if pdims[1] == 1 else (halo_size, halo_size)
|
|
|
|
halo_x_ext = 0 if pdims[0] == 1 else halo_size // 2
|
|
halo_y_ext = 0 if pdims[1] == 1 else halo_size // 2
|
|
return ((halo_x, halo_y, (0, 0)), (halo_x_ext, halo_y_ext))
|
|
|
|
|
|
def halo_exchange(x, halo_extents, halo_periods=(True, True)):
|
|
if (halo_extents[0] > 0 or halo_extents[1] > 0):
|
|
return jaxdecomp.halo_exchange(x, halo_extents, halo_periods)
|
|
else:
|
|
return x
|
|
|
|
|
|
def slice_unpad_impl(x, pad_width):
|
|
|
|
halo_x, _ = pad_width[0]
|
|
halo_y, _ = pad_width[1]
|
|
# Apply corrections along x
|
|
x = x.at[halo_x:halo_x + halo_x // 2].add(x[:halo_x // 2])
|
|
x = x.at[-(halo_x + halo_x // 2):-halo_x].add(x[-halo_x // 2:])
|
|
# Apply corrections along y
|
|
x = x.at[:, halo_y:halo_y + halo_y // 2].add(x[:, :halo_y // 2])
|
|
x = x.at[:, -(halo_y + halo_y // 2):-halo_y].add(x[:, -halo_y // 2:])
|
|
|
|
unpad_slice = [slice(None)] * 3
|
|
if halo_x > 0:
|
|
unpad_slice[0] = slice(halo_x, -halo_x)
|
|
if halo_y > 0:
|
|
unpad_slice[1] = slice(halo_y, -halo_y)
|
|
|
|
return x[tuple(unpad_slice)]
|
|
|
|
def slice_pad_impl(x, pad_width):
|
|
return jax.tree.map(lambda x: jnp.pad(x, pad_width), x)
|
|
|
|
|
|
def slice_pad(x, pad_width, sharding):
|
|
gpu_mesh = sharding.mesh if sharding is not None else None
|
|
if gpu_mesh is not None and not (gpu_mesh.empty) and (
|
|
pad_width[0][0] > 0 or pad_width[1][0] > 0):
|
|
assert sharding is not None
|
|
spec = sharding.spec
|
|
return shard_map((partial(slice_pad_impl, pad_width=pad_width)),
|
|
mesh=gpu_mesh,
|
|
in_specs=spec,
|
|
out_specs=spec)(x)
|
|
else:
|
|
return x
|
|
|
|
|
|
def slice_unpad(x, pad_width, sharding):
|
|
mesh = sharding.mesh if sharding is not None else None
|
|
if mesh is not None and not (mesh.empty) and (pad_width[0][0] > 0
|
|
or pad_width[1][0] > 0):
|
|
assert sharding is not None
|
|
spec = sharding.spec
|
|
return shard_map(partial(slice_unpad_impl, pad_width=pad_width),
|
|
mesh=mesh,
|
|
in_specs=spec,
|
|
out_specs=spec)(x)
|
|
else:
|
|
return x
|
|
|
|
|
|
def get_local_shape(mesh_shape, sharding=None):
|
|
""" Helper function to get the local size of a mesh given the global size.
|
|
"""
|
|
gpu_mesh = sharding.mesh if sharding is not None else None
|
|
if gpu_mesh is None or gpu_mesh.empty:
|
|
return mesh_shape
|
|
else:
|
|
pdims = gpu_mesh.devices.shape
|
|
return [
|
|
mesh_shape[0] // pdims[0], mesh_shape[1] // pdims[1],
|
|
*mesh_shape[2:]
|
|
]
|
|
|
|
|
|
def _axis_names(spec):
|
|
if len(spec) == 1:
|
|
x_axis, = spec
|
|
y_axis = None
|
|
single_axis = True
|
|
elif len(spec) == 2:
|
|
x_axis, y_axis = spec
|
|
if y_axis == None:
|
|
single_axis = True
|
|
elif x_axis == None:
|
|
x_axis = y_axis
|
|
single_axis = True
|
|
else:
|
|
single_axis = False
|
|
else:
|
|
raise ValueError("Only 1 or 2 axis sharding is supported")
|
|
return x_axis, y_axis, single_axis
|
|
|
|
|
|
def uniform_particles(mesh_shape, sharding=None):
|
|
|
|
gpu_mesh = sharding.mesh if sharding is not None else None
|
|
if gpu_mesh is not None and not (gpu_mesh.empty):
|
|
local_mesh_shape = get_local_shape(mesh_shape, sharding)
|
|
spec = sharding.spec
|
|
x_axis, y_axis, single_axis = _axis_names(spec)
|
|
|
|
def particles():
|
|
x_indx = lax.axis_index(x_axis)
|
|
y_indx = 0 if single_axis else lax.axis_index(y_axis)
|
|
|
|
x = jnp.arange(local_mesh_shape[0]) + x_indx * local_mesh_shape[0]
|
|
y = jnp.arange(local_mesh_shape[1]) + y_indx * local_mesh_shape[1]
|
|
z = jnp.arange(local_mesh_shape[2])
|
|
return jnp.stack(jnp.meshgrid(x, y, z, indexing='ij'), axis=-1)
|
|
|
|
return shard_map(particles, mesh=gpu_mesh, in_specs=(),
|
|
out_specs=spec)()
|
|
else:
|
|
return jnp.stack(jnp.meshgrid(*[jnp.arange(s) for s in mesh_shape],
|
|
indexing='ij'),
|
|
axis=-1)
|
|
|
|
|
|
def normal_field(mesh_shape, seed, sharding=None):
|
|
"""Generate a Gaussian random field with the given power spectrum."""
|
|
gpu_mesh = sharding.mesh if sharding is not None else None
|
|
if gpu_mesh is not None and not (gpu_mesh.empty):
|
|
local_mesh_shape = get_local_shape(mesh_shape, sharding)
|
|
|
|
size = jax.device_count()
|
|
# rank = jax.process_index()
|
|
# process_index is multi_host only
|
|
# to make the code work both in multi host and single controller we can do this trick
|
|
keys = jax.random.split(seed, size)
|
|
spec = sharding.spec
|
|
x_axis, y_axis, single_axis = _axis_names(spec)
|
|
|
|
def normal(keys, shape, dtype):
|
|
idx = lax.axis_index(x_axis)
|
|
if not single_axis:
|
|
y_index = lax.axis_index(y_axis)
|
|
x_size = lax.psum(1, axis_name=x_axis)
|
|
idx += y_index * x_size
|
|
|
|
return jax.random.normal(key=keys[idx], shape=shape, dtype=dtype)
|
|
|
|
return shard_map(
|
|
partial(normal, shape=local_mesh_shape, dtype='float32'),
|
|
mesh=gpu_mesh,
|
|
in_specs=P(None),
|
|
out_specs=spec)(keys) # yapf: disable
|
|
else:
|
|
return jax.random.normal(shape=mesh_shape, key=seed)
|