__copyright__ = "Copyright (C) 2013 Andreas Kloeckner"
__license__ = """
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
"""
import numpy as np
import loopy as lp
import sumpy.symbolic as sym
from loopy.version import MOST_RECENT_LANGUAGE_VERSION
from sumpy.tools import KernelCacheWrapper
from pytools import memoize_method
import logging
logger = logging.getLogger(__name__)
__doc__ = """
Expansion-to-expansion
----------------------
.. autoclass:: E2EBase
.. autoclass:: E2EFromCSR
.. autoclass:: E2EFromParent
.. autoclass:: E2EFromChildren
"""
# {{{ translation base class
[docs]class E2EBase(KernelCacheWrapper):
def __init__(self, ctx, src_expansion, tgt_expansion,
name=None, device=None):
"""
:arg expansion: a subclass of :class:`sympy.expansion.ExpansionBase`
:arg strength_usage: A list of integers indicating which expression
uses which source strength indicator. This implicitly specifies the
number of strength arrays that need to be passed.
Default: all kernels use the same strength.
"""
if device is None:
device = ctx.devices[0]
if src_expansion is tgt_expansion:
from sumpy.kernel import (TargetTransformationRemover,
SourceTransformationRemover)
tgt_expansion = src_expansion = src_expansion.with_kernel(
SourceTransformationRemover()(
TargetTransformationRemover()(src_expansion.kernel)))
else:
from sumpy.kernel import (TargetTransformationRemover,
SourceTransformationRemover)
src_expansion = src_expansion.with_kernel(
SourceTransformationRemover()(
TargetTransformationRemover()(src_expansion.kernel)))
tgt_expansion = tgt_expansion.with_kernel(
SourceTransformationRemover()(
TargetTransformationRemover()(tgt_expansion.kernel)))
self.ctx = ctx
self.src_expansion = src_expansion
self.tgt_expansion = tgt_expansion
self.name = name or self.default_name
self.device = device
if src_expansion.dim != tgt_expansion.dim:
raise ValueError("source and target expansions must have "
"same dimensionality")
self.dim = src_expansion.dim
@memoize_method
def get_translation_loopy_insns(self):
from sumpy.symbolic import make_sym_vector
dvec = make_sym_vector("d", self.dim)
src_coeff_exprs = [sym.Symbol("src_coeff%d" % i)
for i in range(len(self.src_expansion))]
src_rscale = sym.Symbol("src_rscale")
tgt_rscale = sym.Symbol("tgt_rscale")
from sumpy.assignment_collection import SymbolicAssignmentCollection
sac = SymbolicAssignmentCollection()
tgt_coeff_names = [
sac.assign_unique("coeff%d" % i, coeff_i)
for i, coeff_i in enumerate(
self.tgt_expansion.translate_from(
self.src_expansion, src_coeff_exprs, src_rscale,
dvec=dvec, tgt_rscale=tgt_rscale, sac=sac))]
sac.run_global_cse()
from sumpy.codegen import to_loopy_insns
return to_loopy_insns(
sac.assignments.items(),
vector_names={"d"},
pymbolic_expr_maps=[self.tgt_expansion.get_code_transformer()],
retain_names=tgt_coeff_names,
complex_dtype=np.complex128 # FIXME
)
def get_cache_key(self):
return (
type(self).__name__,
self.src_expansion,
self.tgt_expansion)
def get_optimized_kernel(self):
# FIXME
knl = self.get_kernel()
knl = lp.split_iname(knl, "itgt_box", 16, outer_tag="g.0")
return knl
# }}}
# {{{ translation from "compressed sparse row"-like source box lists
[docs]class E2EFromCSR(E2EBase):
"""Implements translation from a "compressed sparse row"-like source box
list.
"""
default_name = "e2e_from_csr"
def get_kernel(self):
ncoeff_src = len(self.src_expansion)
ncoeff_tgt = len(self.tgt_expansion)
# To clarify terminology:
#
# isrc_box -> The index in a list of (in this case, source) boxes
# src_ibox -> The (global) box number for the (in this case, source) box
#
# (same for itgt_box, tgt_ibox)
from sumpy.tools import gather_loopy_arguments
loopy_knl = lp.make_kernel(
[
"{[itgt_box]: 0<=itgt_box<ntgt_boxes}",
"{[isrc_box]: isrc_start<=isrc_box<isrc_stop}",
"{[idim]: 0<=idim<dim}",
],
["""
for itgt_box
<> tgt_ibox = target_boxes[itgt_box]
<> tgt_center[idim] = centers[idim, tgt_ibox] \
<> isrc_start = src_box_starts[itgt_box]
<> isrc_stop = src_box_starts[itgt_box+1]
for isrc_box
<> src_ibox = src_box_lists[isrc_box] \
{id=read_src_ibox}
<> src_center[idim] = centers[idim, src_ibox] {dup=idim}
<> d[idim] = tgt_center[idim] - src_center[idim] \
{dup=idim}
"""] + ["""
<> src_coeff{coeffidx} = \
src_expansions[src_ibox - src_base_ibox, {coeffidx}] \
{{dep=read_src_ibox}}
""".format(coeffidx=i) for i in range(ncoeff_src)] + [
] + self.get_translation_loopy_insns() + ["""
end
"""] + ["""
tgt_expansions[tgt_ibox - tgt_base_ibox, {coeffidx}] = \
simul_reduce(sum, isrc_box, coeff{coeffidx}) \
{{id_prefix=write_expn}}
""".format(coeffidx=i) for i in range(ncoeff_tgt)] + ["""
end
"""],
[
lp.GlobalArg("centers", None, shape="dim, aligned_nboxes"),
lp.ValueArg("src_rscale,tgt_rscale", None),
lp.GlobalArg("src_box_starts, src_box_lists",
None, shape=None, strides=(1,), offset=lp.auto),
lp.ValueArg("aligned_nboxes,tgt_base_ibox,src_base_ibox",
np.int32),
lp.ValueArg("nsrc_level_boxes,ntgt_level_boxes",
np.int32),
lp.GlobalArg("src_expansions", None,
shape=("nsrc_level_boxes", ncoeff_src), offset=lp.auto),
lp.GlobalArg("tgt_expansions", None,
shape=("ntgt_level_boxes", ncoeff_tgt), offset=lp.auto),
"..."
] + gather_loopy_arguments([self.src_expansion, self.tgt_expansion]),
name=self.name,
assumptions="ntgt_boxes>=1",
silenced_warnings="write_race(write_expn*)",
default_offset=lp.auto,
fixed_parameters=dict(dim=self.dim),
lang_version=MOST_RECENT_LANGUAGE_VERSION
)
for knl in [self.src_expansion.kernel, self.tgt_expansion.kernel]:
loopy_knl = knl.prepare_loopy_kernel(loopy_knl)
loopy_knl = lp.tag_inames(loopy_knl, "idim*:unr")
loopy_knl = lp.tag_inames(loopy_knl, dict(idim="unr"))
return loopy_knl
def __call__(self, queue, **kwargs):
"""
:arg src_expansions:
:arg src_box_starts:
:arg src_box_lists:
:arg src_rscale:
:arg tgt_rscale:
:arg centers:
"""
knl = self.get_cached_optimized_kernel()
centers = kwargs.pop("centers")
# "1" may be passed for rscale, which won't have its type
# meaningfully inferred. Make the type of rscale explicit.
src_rscale = centers.dtype.type(kwargs.pop("src_rscale"))
tgt_rscale = centers.dtype.type(kwargs.pop("tgt_rscale"))
return knl(queue,
centers=centers,
src_rscale=src_rscale, tgt_rscale=tgt_rscale,
**kwargs)
# }}}
# {{{ translation from a box's children
[docs]class E2EFromChildren(E2EBase):
default_name = "e2e_from_children"
def get_kernel(self):
if self.src_expansion is not self.tgt_expansion:
raise RuntimeError("%s requires that the source "
"and target expansion are the same object"
% type(self).__name__)
ncoeffs = len(self.src_expansion)
# To clarify terminology:
#
# isrc_box -> The index in a list of (in this case, source) boxes
# src_ibox -> The (global) box number for the (in this case, source) box
#
# (same for itgt_box, tgt_ibox)
loopy_insns = [
insn.copy(
predicates=insn.predicates | frozenset(["is_src_box_valid"]),
id=lp.UniqueName("compute_coeff"))
for insn in self.get_translation_loopy_insns()]
from sumpy.tools import gather_loopy_arguments
loopy_knl = lp.make_kernel(
[
"{[itgt_box]: 0<=itgt_box<ntgt_boxes}",
"{[isrc_box]: 0<=isrc_box<nchildren}",
"{[idim]: 0<=idim<dim}",
],
["""
for itgt_box
<> tgt_ibox = target_boxes[itgt_box]
<> tgt_center[idim] = centers[idim, tgt_ibox] \
for isrc_box
<> src_ibox = box_child_ids[isrc_box,tgt_ibox] \
{id=read_src_ibox}
<> is_src_box_valid = src_ibox != 0
if is_src_box_valid
<> src_center[idim] = centers[idim, src_ibox] {dup=idim}
<> d[idim] = tgt_center[idim] - src_center[idim] \
{dup=idim}
"""] + ["""
<> src_coeff{i} = \
src_expansions[src_ibox - src_base_ibox, {i}] \
{{id_prefix=read_coeff,dep=read_src_ibox}}
""".format(i=i) for i in range(ncoeffs)] + [
] + loopy_insns + ["""
tgt_expansions[tgt_ibox - tgt_base_ibox, {i}] = \
tgt_expansions[tgt_ibox - tgt_base_ibox, {i}] \
+ coeff{i} \
{{id_prefix=write_expn,dep=compute_coeff*,
nosync=read_coeff*}}
""".format(i=i) for i in range(ncoeffs)] + ["""
end
end
end
"""],
[
lp.GlobalArg("target_boxes", None, shape=lp.auto,
offset=lp.auto),
lp.GlobalArg("centers", None, shape="dim, aligned_nboxes"),
lp.ValueArg("src_rscale,tgt_rscale", None),
lp.GlobalArg("box_child_ids", None,
shape="nchildren, aligned_nboxes"),
lp.GlobalArg("tgt_expansions", None,
shape=("ntgt_level_boxes", ncoeffs), offset=lp.auto),
lp.GlobalArg("src_expansions", None,
shape=("nsrc_level_boxes", ncoeffs), offset=lp.auto),
lp.ValueArg("src_base_ibox,tgt_base_ibox", np.int32),
lp.ValueArg("ntgt_level_boxes,nsrc_level_boxes", np.int32),
lp.ValueArg("aligned_nboxes", np.int32),
"..."
] + gather_loopy_arguments([self.src_expansion, self.tgt_expansion]),
name=self.name,
assumptions="ntgt_boxes>=1",
silenced_warnings="write_race(write_expn*)",
fixed_parameters=dict(dim=self.dim, nchildren=2**self.dim),
lang_version=MOST_RECENT_LANGUAGE_VERSION)
for knl in [self.src_expansion.kernel, self.tgt_expansion.kernel]:
loopy_knl = knl.prepare_loopy_kernel(loopy_knl)
loopy_knl = lp.tag_inames(loopy_knl, "idim*:unr")
return loopy_knl
def __call__(self, queue, **kwargs):
"""
:arg src_expansions:
:arg src_box_starts:
:arg src_box_lists:
:arg src_rscale:
:arg tgt_rscale:
:arg centers:
"""
knl = self.get_cached_optimized_kernel()
centers = kwargs.pop("centers")
# "1" may be passed for rscale, which won't have its type
# meaningfully inferred. Make the type of rscale explicit.
src_rscale = centers.dtype.type(kwargs.pop("src_rscale"))
tgt_rscale = centers.dtype.type(kwargs.pop("tgt_rscale"))
return knl(queue,
centers=centers,
src_rscale=src_rscale, tgt_rscale=tgt_rscale,
**kwargs)
# }}}
# {{{ translation from a box's parent
[docs]class E2EFromParent(E2EBase):
default_name = "e2e_from_parent"
def get_kernel(self):
if self.src_expansion is not self.tgt_expansion:
raise RuntimeError("%s requires that the source "
"and target expansion are the same object"
% self.default_name)
ncoeffs = len(self.src_expansion)
# To clarify terminology:
#
# isrc_box -> The index in a list of (in this case, source) boxes
# src_ibox -> The (global) box number for the (in this case, source) box
#
# (same for itgt_box, tgt_ibox)
from sumpy.tools import gather_loopy_arguments
loopy_knl = lp.make_kernel(
[
"{[itgt_box]: 0<=itgt_box<ntgt_boxes}",
"{[idim]: 0<=idim<dim}",
],
["""
for itgt_box
<> tgt_ibox = target_boxes[itgt_box]
<> tgt_center[idim] = centers[idim, tgt_ibox] \
<> src_ibox = box_parent_ids[tgt_ibox] \
{id=read_src_ibox}
<> src_center[idim] = centers[idim, src_ibox] {dup=idim}
<> d[idim] = tgt_center[idim] - src_center[idim] {dup=idim}
"""] + ["""
<> src_coeff{i} = \
src_expansions[src_ibox - src_base_ibox, {i}] \
{{id_prefix=read_expn,dep=read_src_ibox}}
""".format(i=i) for i in range(ncoeffs)] + [
] + self.get_translation_loopy_insns() + ["""
tgt_expansions[tgt_ibox - tgt_base_ibox, {i}] = \
tgt_expansions[tgt_ibox - tgt_base_ibox, {i}] + coeff{i} \
{{id_prefix=write_expn,nosync=read_expn*}}
""".format(i=i) for i in range(ncoeffs)] + ["""
end
"""],
[
lp.GlobalArg("target_boxes", None, shape=lp.auto,
offset=lp.auto),
lp.GlobalArg("centers", None, shape="dim, naligned_boxes"),
lp.ValueArg("src_rscale,tgt_rscale", None),
lp.ValueArg("naligned_boxes,nboxes", np.int32),
lp.ValueArg("tgt_base_ibox,src_base_ibox", np.int32),
lp.ValueArg("ntgt_level_boxes,nsrc_level_boxes", np.int32),
lp.GlobalArg("box_parent_ids", None, shape="nboxes"),
lp.GlobalArg("tgt_expansions", None,
shape=("ntgt_level_boxes", ncoeffs), offset=lp.auto),
lp.GlobalArg("src_expansions", None,
shape=("nsrc_level_boxes", ncoeffs), offset=lp.auto),
"..."
] + gather_loopy_arguments([self.src_expansion, self.tgt_expansion]),
name=self.name, assumptions="ntgt_boxes>=1",
silenced_warnings="write_race(write_expn*)",
fixed_parameters=dict(dim=self.dim, nchildren=2**self.dim),
lang_version=MOST_RECENT_LANGUAGE_VERSION)
for knl in [self.src_expansion.kernel, self.tgt_expansion.kernel]:
loopy_knl = knl.prepare_loopy_kernel(loopy_knl)
loopy_knl = lp.tag_inames(loopy_knl, "idim*:unr")
return loopy_knl
def __call__(self, queue, **kwargs):
"""
:arg src_expansions:
:arg src_box_starts:
:arg src_box_lists:
:arg src_rscale:
:arg tgt_rscale:
:arg centers:
"""
knl = self.get_cached_optimized_kernel()
centers = kwargs.pop("centers")
# "1" may be passed for rscale, which won't have its type
# meaningfully inferred. Make the type of rscale explicit.
src_rscale = centers.dtype.type(kwargs.pop("src_rscale"))
tgt_rscale = centers.dtype.type(kwargs.pop("tgt_rscale"))
return knl(queue,
centers=centers,
src_rscale=src_rscale, tgt_rscale=tgt_rscale,
**kwargs)
# }}}
# vim: foldmethod=marker