Newer
Older
from __future__ import division, absolute_import, print_function
__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 numpy.linalg as la
import pyopencl as cl
import pytest
from pyopencl.tools import ( # noqa
pytest_generate_tests_for_pyopencl as pytest_generate_tests)
from boxtree.tools import ( # noqa: F401
make_normal_particle_array as p_normal,
make_surface_particle_array as p_surface,
make_uniform_particle_array as p_uniform,
particle_array_to_host)
import logging
logger = logging.getLogger(__name__)
class ConstantOneExpansionWrangler(object):
"""This implements the 'analytical routines' for a Green's function that is
constant 1 everywhere. For 'charges' of 'ones', this should get every particle
a copy of the particle count.
"""
def __init__(self, tree):
self.tree = tree
def multipole_expansion_zeros(self):
return np.zeros(self.tree.nboxes, dtype=np.float64)
local_expansion_zeros = multipole_expansion_zeros
def potential_zeros(self):
return np.zeros(self.tree.ntargets, dtype=np.float64)
def _get_source_slice(self, ibox):
pstart = self.tree.box_source_starts[ibox]
return slice(
pstart, pstart + self.tree.box_source_counts_nonchild[ibox])
def _get_target_slice(self, ibox):
pstart = self.tree.box_target_starts[ibox]
return slice(
pstart, pstart + self.tree.box_target_counts_nonchild[ibox])
def reorder_sources(self, source_array):
return source_array[self.tree.user_source_ids]
def reorder_potentials(self, potentials):
return potentials[self.tree.sorted_target_ids]
def form_multipoles(self, level_start_source_box_nrs, source_boxes, src_weights):
mpoles = self.multipole_expansion_zeros()
pslice = self._get_source_slice(ibox)
mpoles[ibox] += np.sum(src_weights[pslice])
return mpoles
def coarsen_multipoles(self, level_start_source_parent_box_nrs,
source_parent_boxes, mpoles):
# nlevels-1 is the last valid level index
# nlevels-2 is the last valid level that could have children
#
# 3 is the last relevant source_level.
# 2 is the last relevant target_level.
# (because no level 1 box will be well-separated from another)
for source_level in range(tree.nlevels-1, 2, -1):
target_level = source_level - 1
start, stop = level_start_source_parent_box_nrs[
target_level:target_level+2]
for ibox in source_parent_boxes[start:stop]:
for child in tree.box_child_ids[:, ibox]:
if child:
mpoles[ibox] += mpoles[child]
def eval_direct(self, target_boxes, neighbor_sources_starts,
neighbor_sources_lists, src_weights):
for itgt_box, tgt_ibox in enumerate(target_boxes):
tgt_pslice = self._get_target_slice(tgt_ibox)
start, end = neighbor_sources_starts[itgt_box:itgt_box+2]
#print "DIR: %s <- %s" % (tgt_ibox, neighbor_sources_lists[start:end])
for src_ibox in neighbor_sources_lists[start:end]:
src_pslice = self._get_source_slice(src_ibox)
src_sum += np.sum(src_weights[src_pslice])
pot[tgt_pslice] = src_sum
return pot
def multipole_to_local(self,
level_start_target_or_target_parent_box_nrs,
target_or_target_parent_boxes,
starts, lists, mpole_exps):
local_exps = self.local_expansion_zeros()
for itgt_box, tgt_ibox in enumerate(target_or_target_parent_boxes):
start, end = starts[itgt_box:itgt_box+2]
#print tgt_ibox, "<-", lists[start:end]
for src_ibox in lists[start:end]:
contrib += mpole_exps[src_ibox]
local_exps[tgt_ibox] += contrib
def eval_multipoles(self, level_start_target_box_nrs, target_boxes,
Andreas Klöckner
committed
from_sep_smaller_nonsiblings_by_level, mpole_exps):
Andreas Klöckner
committed
for ssn in from_sep_smaller_nonsiblings_by_level:
for itgt_box, tgt_ibox in enumerate(target_boxes):
tgt_pslice = self._get_target_slice(tgt_ibox)
contrib = 0
start, end = ssn.starts[itgt_box:itgt_box+2]
for src_ibox in ssn.lists[start:end]:
contrib += mpole_exps[src_ibox]
def form_locals(self,
level_start_target_or_target_parent_box_nrs,
target_or_target_parent_boxes, starts, lists, src_weights):
local_exps = self.local_expansion_zeros()
for itgt_box, tgt_ibox in enumerate(target_or_target_parent_boxes):
start, end = starts[itgt_box:itgt_box+2]
#print "LIST 4", tgt_ibox, "<-", lists[start:end]
contrib = 0
for src_ibox in lists[start:end]:
src_pslice = self._get_source_slice(src_ibox)
contrib += np.sum(src_weights[src_pslice])
local_exps[tgt_ibox] += contrib
return local_exps
def refine_locals(self, level_start_target_or_target_parent_box_nrs,
target_or_target_parent_boxes, local_exps):
for target_lev in range(1, self.tree.nlevels):
start, stop = level_start_target_or_target_parent_box_nrs[
target_lev:target_lev+2]
for ibox in target_or_target_parent_boxes[start:stop]:
local_exps[ibox] += local_exps[self.tree.box_parent_ids[ibox]]
def eval_locals(self, level_start_target_box_nrs, target_boxes, local_exps):
tgt_pslice = self._get_target_slice(ibox)
pot[tgt_pslice] += local_exps[ibox]
return pot
def finalize_potentials(self, potentials):
return potentials
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
class ConstantOneExpansionWranglerWithFilteredTargetsInTreeOrder(
ConstantOneExpansionWrangler):
def __init__(self, tree, filtered_targets):
ConstantOneExpansionWrangler.__init__(self, tree)
self.filtered_targets = filtered_targets
def potential_zeros(self):
return np.zeros(self.filtered_targets.nfiltered_targets, dtype=np.float64)
def _get_target_slice(self, ibox):
pstart = self.filtered_targets.box_target_starts[ibox]
return slice(
pstart, pstart
+ self.filtered_targets.box_target_counts_nonchild[ibox])
def reorder_potentials(self, potentials):
tree_order_all_potentials = np.zeros(self.tree.ntargets, potentials.dtype)
tree_order_all_potentials[
self.filtered_targets.unfiltered_from_filtered_target_indices] \
= potentials
return tree_order_all_potentials[self.tree.sorted_target_ids]
class ConstantOneExpansionWranglerWithFilteredTargetsInUserOrder(
ConstantOneExpansionWrangler):
def __init__(self, tree, filtered_targets):
ConstantOneExpansionWrangler.__init__(self, tree)
self.filtered_targets = filtered_targets
def _get_target_slice(self, ibox):
user_target_ids = self.filtered_targets.target_lists[
self.filtered_targets.target_starts[ibox]:
self.filtered_targets.target_starts[ibox+1]]
return self.tree.sorted_target_ids[user_target_ids]
@pytest.mark.parametrize("well_sep_is_n_away", [1, 2])
@pytest.mark.parametrize(("dims", "nsources_req", "ntargets_req",
"who_has_extent", "source_gen", "target_gen", "filter_kind",
"extent_norm", "from_sep_smaller_crit"),
(2, 10**5, None, "", p_normal, p_normal, None, "linf", "static_linf"),
(2, 5 * 10**4, 4*10**4, "", p_normal, p_normal, None, "linf", "static_linf"), # noqa: E501
(2, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "linf", "static_linf"), # noqa: E501
(3, 10**5, None, "", p_normal, p_normal, None, "linf", "static_linf"),
(3, 5 * 10**5, 4*10**4, "", p_normal, p_normal, None, "linf", "static_linf"), # noqa: E501
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "linf", "static_linf"), # noqa: E501
(2, 10**5, None, "", p_normal, p_normal, "user", "linf", "static_linf"),
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, "user", "linf", "static_linf"), # noqa: E501
(2, 10**5, None, "", p_normal, p_normal, "tree", "linf", "static_linf"),
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, "tree", "linf", "static_linf"), # noqa: E501
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "linf", "static_linf"), # noqa: E501
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "linf", "precise_linf"), # noqa: E501
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "l2", "precise_linf"), # noqa: E501
(3, 5 * 10**5, 4*10**4, "t", p_normal, p_normal, None, "l2", "static_l2"), # noqa: E501
])
def test_fmm_completeness(ctx_getter, dims, nsources_req, ntargets_req,
Andreas Klöckner
committed
who_has_extent, source_gen, target_gen, filter_kind, well_sep_is_n_away,
extent_norm, from_sep_smaller_crit):
"""Tests whether the built FMM traversal structures and driver completely
capture all interactions.
"""
sources_have_extent = "s" in who_has_extent
targets_have_extent = "t" in who_has_extent
logging.basicConfig(level=logging.INFO)
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
dtype = np.float64
try:
sources = source_gen(queue, nsources_req, dims, dtype, seed=15)
nsources = len(sources[0])
if ntargets_req is None:
# This says "same as sources" to the tree builder.
targets = None
ntargets = ntargets_req
else:
targets = target_gen(queue, ntargets_req, dims, dtype, seed=16)
ntargets = len(targets[0])
except ImportError:
pytest.skip("loo.py not available, but needed for particle array "
"generation")
from pyopencl.clrandom import PhiloxGenerator
rng = PhiloxGenerator(queue.context, seed=12)
if sources_have_extent:
source_radii = 2**rng.uniform(queue, nsources, dtype=dtype,
a=-10, b=0)
else:
source_radii = None
if targets_have_extent:
target_radii = 2**rng.uniform(queue, ntargets, dtype=dtype,
a=-10, b=0)
else:
target_radii = None
from boxtree import TreeBuilder
tb = TreeBuilder(ctx)
tree, _ = tb(queue, sources, targets=targets,
max_particles_in_box=30,
source_radii=source_radii, target_radii=target_radii,
Andreas Klöckner
committed
debug=True, stick_out_factor=0.25, extent_norm=extent_norm)
if 0:
tree.get().plot()
import matplotlib.pyplot as pt
pt.show()
from boxtree.traversal import FMMTraversalBuilder
Andreas Klöckner
committed
tbuild = FMMTraversalBuilder(ctx,
well_sep_is_n_away=well_sep_is_n_away,
from_sep_smaller_crit=from_sep_smaller_crit)
trav, _ = tbuild(queue, tree, debug=True)
if who_has_extent:
pre_merge_trav = trav
Andreas Klöckner
committed
trav = trav.merge_close_lists(queue)
#weights = np.random.randn(nsources)
weights = np.ones(nsources)
weights_sum = np.sum(weights)
host_trav = trav.get(queue=queue)
host_tree = host_trav.tree
if who_has_extent:
pre_merge_host_trav = pre_merge_trav.get(queue=queue)
from boxtree.tree import ParticleListFilter
plfilt = ParticleListFilter(ctx)
flags = rng.uniform(queue, ntargets or nsources, np.int32, a=0, b=2) \
.astype(np.int8)
filtered_targets = plfilt.filter_target_lists_in_user_order(
queue, tree, flags)
wrangler = ConstantOneExpansionWranglerWithFilteredTargetsInUserOrder(
host_tree, filtered_targets.get(queue=queue))
elif filter_kind == "tree":
filtered_targets = plfilt.filter_target_lists_in_tree_order(
queue, tree, flags)
wrangler = ConstantOneExpansionWranglerWithFilteredTargetsInTreeOrder(
host_tree, filtered_targets.get(queue=queue))
else:
raise ValueError("unsupported value of 'filter_kind'")
else:
wrangler = ConstantOneExpansionWrangler(host_tree)
flags = cl.array.empty(queue, ntargets or nsources, dtype=np.int8)
flags.fill(1)
if ntargets is None and not filter_kind:
# This check only works for targets == sources.
assert (wrangler.reorder_potentials(
wrangler.reorder_sources(weights)) == weights).all()
from boxtree.fmm import drive_fmm
pot = drive_fmm(host_trav, wrangler, weights)
if filter_kind:
pot = pot[flags.get() > 0]
rel_err = la.norm((pot - weights_sum) / nsources)
good = rel_err < 1e-8
# {{{ build, evaluate matrix (and identify incorrect interactions)
if 0 and not good:
mat = np.zeros((ntargets, nsources), dtype)
from pytools import ProgressBar
logging.getLogger().setLevel(logging.WARNING)
pb = ProgressBar("matrix", nsources)
unit_vec = np.zeros(nsources, dtype=dtype)
unit_vec[i] = 1
mat[:, i] = drive_fmm(host_trav, wrangler, unit_vec)
pb.progress()
pb.finished()
logging.getLogger().setLevel(logging.INFO)
import matplotlib.pyplot as pt
if 0:
pt.imshow(mat)
pt.colorbar()
incorrect_tgts, incorrect_srcs = np.where(mat != 1)
from boxtree.visualization import TreePlotter
plotter.draw_tree(fill=False, edgecolor="black")
plotter.draw_box_numbers()
plotter.set_bounding_box()
tree_order_incorrect_tgts = \
host_tree.indices_to_tree_target_order(incorrect_tgts)
tree_order_incorrect_srcs = \
host_tree.indices_to_tree_source_order(incorrect_srcs)
src_boxes = [
for i in tree_order_incorrect_srcs]
tgt_boxes = [
for i in tree_order_incorrect_tgts]
# plot all sources/targets
if 0:
pt.plot(
host_tree.targets[0],
host_tree.targets[1],
"v", alpha=0.9)
pt.plot(
host_tree.sources[0],
host_tree.sources[1],
"gx", alpha=0.9)
# plot offending sources/targets
if 0:
pt.plot(
host_tree.targets[0][tree_order_incorrect_tgts],
host_tree.targets[1][tree_order_incorrect_tgts],
"rv")
pt.plot(
host_tree.sources[0][tree_order_incorrect_srcs],
host_tree.sources[1][tree_order_incorrect_srcs],
"go")
pt.gca().set_aspect("equal")
from boxtree.visualization import draw_box_lists
draw_box_lists(
plotter,
pre_merge_host_trav if who_has_extent else host_trav,
22)
# from boxtree.visualization import draw_same_level_non_well_sep_boxes
# draw_same_level_non_well_sep_boxes(plotter, host_trav, 2)
pt.show()
# }}}
import matplotlib.pyplot as pt
pt.plot(pot-weights_sum)
pt.show()
if 0 and not good:
import matplotlib.pyplot as pt
filt_targets = [
host_tree.targets[0][flags.get() > 0],
host_tree.targets[1][flags.get() > 0],
]
host_tree.plot()
bad = np.abs(pot - weights_sum) >= 1e-3
bad_targets = [
filt_targets[0][bad],
filt_targets[1][bad],
]
pt.plot(filt_targets[0], filt_targets[1], "x")
pt.plot(bad_targets[0], bad_targets[1], "v")
pt.show()
assert good
# {{{ test fmmlib integration
@pytest.mark.parametrize("dims", [2, 3])
@pytest.mark.parametrize("use_dipoles", [True, False])
@pytest.mark.parametrize("helmholtz_k", [0, 2])
def test_pyfmmlib_fmm(ctx_getter, dims, use_dipoles, helmholtz_k):
logging.basicConfig(level=logging.INFO)
from pytest import importorskip
importorskip("pyfmmlib")
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
nsources = 3000
ntargets = 1000
sources = p_normal(queue, nsources, dims, dtype, seed=15)
p_normal(queue, ntargets, dims, dtype, seed=18)
+ np.array([2, 0, 0])[:dims])
sources_host = particle_array_to_host(sources)
targets_host = particle_array_to_host(targets)
from boxtree import TreeBuilder
tb = TreeBuilder(ctx)
tree, _ = tb(queue, sources, targets=targets,
max_particles_in_box=30, debug=True)
from boxtree.traversal import FMMTraversalBuilder
tbuild = FMMTraversalBuilder(ctx)
trav, _ = tbuild(queue, tree, debug=True)
trav = trav.get(queue=queue)
from pyopencl.clrandom import PhiloxGenerator
rng = PhiloxGenerator(queue.context, seed=20)
weights = rng.uniform(queue, nsources, dtype=np.float64).get()
#weights = np.ones(nsources)
dipole_vec = np.random.randn(dims, nsources)
else:
dipole_vec = None
if dims == 2 and helmholtz_k == 0:
base_nterms = 20
else:
base_nterms = 10
def fmm_level_to_nterms(tree, lev):
result = base_nterms
if lev < 3 and helmholtz_k:
# exercise order-varies-by-level capability
result += 5
if use_dipoles:
result += 1
return result
Andreas Klöckner
committed
from boxtree.pyfmmlib_integration import FMMLibExpansionWrangler
wrangler = FMMLibExpansionWrangler(
trav.tree, helmholtz_k,
fmm_level_to_nterms=fmm_level_to_nterms,
from boxtree.fmm import drive_fmm
pot = drive_fmm(trav, wrangler, weights)
# {{{ ref fmmlib computation
logger.info("computing direct (reference) result")
import pyfmmlib
fmmlib_routine = getattr(
pyfmmlib,
"%spot%s%ddall%s_vec" % (
wrangler.eqn_letter,
"fld" if dims == 3 else "grad",
dims,
"_dp" if use_dipoles else ""))
kwargs = {}
if dims == 3:
kwargs["iffld"] = False
else:
kwargs["ifgrad"] = False
kwargs["ifhess"] = False
if use_dipoles:
if helmholtz_k == 0 and dims == 2:
kwargs["dipstr"] = -weights * (dipole_vec[0] + 1j * dipole_vec[1])
else:
kwargs["dipstr"] = weights
kwargs["dipvec"] = dipole_vec
if helmholtz_k:
kwargs["zk"] = helmholtz_k
ref_pot = wrangler.finalize_potentials(
fmmlib_routine(
sources=sources_host.T, targets=targets_host.T,
**kwargs)[0]
)
rel_err = la.norm(pot - ref_pot, np.inf) / la.norm(ref_pot, np.inf)
logger.info("relative l2 error vs fmmlib direct: %g" % rel_err)
assert rel_err < 1e-5, rel_err
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
# }}}
# {{{ check against sumpy
try:
import sumpy # noqa
except ImportError:
have_sumpy = False
from warnings import warn
warn("sumpy unavailable: cannot compute independent reference "
"values for pyfmmlib")
else:
have_sumpy = True
if have_sumpy:
from sumpy.kernel import (
LaplaceKernel, HelmholtzKernel, DirectionalSourceDerivative)
from sumpy.p2p import P2P
sumpy_extra_kwargs = {}
if helmholtz_k:
knl = HelmholtzKernel(dims)
sumpy_extra_kwargs["k"] = helmholtz_k
else:
knl = LaplaceKernel(dims)
if use_dipoles:
knl = DirectionalSourceDerivative(knl)
sumpy_extra_kwargs["src_derivative_dir"] = dipole_vec
p2p = P2P(ctx,
[knl],
exclude_self=False)
evt, (sumpy_ref_pot,) = p2p(
queue, targets, sources, [weights],
out_host=True, **sumpy_extra_kwargs)
sumpy_rel_err = (
la.norm(pot - sumpy_ref_pot, np.inf)
/
la.norm(sumpy_ref_pot, np.inf))
logger.info("relative l2 error vs sumpy direct: %g" % sumpy_rel_err)
assert sumpy_rel_err < 1e-5, sumpy_rel_err
# }}}
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
# {{{ test particle count thresholding in traversal generation
@pytest.mark.parametrize("enable_extents", [True, False])
def test_interaction_list_particle_count_thresholding(ctx_getter, enable_extents):
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
logging.basicConfig(level=logging.INFO)
dims = 2
nsources = 1000
ntargets = 1000
dtype = np.float
max_particles_in_box = 30
# Ensure that we have underfilled boxes.
from_sep_smaller_min_nsources_cumul = 1 + max_particles_in_box
from boxtree.fmm import drive_fmm
sources = p_normal(queue, nsources, dims, dtype, seed=15)
targets = p_normal(queue, ntargets, dims, dtype, seed=15)
from pyopencl.clrandom import PhiloxGenerator
rng = PhiloxGenerator(queue.context, seed=12)
if enable_extents:
target_radii = 2**rng.uniform(queue, ntargets, dtype=dtype, a=-10, b=0)
else:
target_radii = None
from boxtree import TreeBuilder
tb = TreeBuilder(ctx)
tree, _ = tb(queue, sources, targets=targets,
max_particles_in_box=max_particles_in_box,
target_radii=target_radii,
debug=True, stick_out_factor=0.25)
from boxtree.traversal import FMMTraversalBuilder
tbuild = FMMTraversalBuilder(ctx)
trav, _ = tbuild(queue, tree, debug=True,
_from_sep_smaller_min_nsources_cumul=from_sep_smaller_min_nsources_cumul)
weights = np.ones(nsources)
weights_sum = np.sum(weights)
host_trav = trav.get(queue=queue)
host_tree = host_trav.tree
wrangler = ConstantOneExpansionWrangler(host_tree)
pot = drive_fmm(host_trav, wrangler, weights)
assert (pot == weights_sum).all()
# }}}
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
# {{{ test fmm with float32 dtype
@pytest.mark.parametrize("enable_extents", [True, False])
def test_fmm_float32(ctx_getter, enable_extents):
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
logging.basicConfig(level=logging.INFO)
dims = 2
nsources = 1000
ntargets = 1000
dtype = np.float32
from boxtree.fmm import drive_fmm
sources = p_normal(queue, nsources, dims, dtype, seed=15)
targets = p_normal(queue, ntargets, dims, dtype, seed=15)
from pyopencl.clrandom import PhiloxGenerator
rng = PhiloxGenerator(queue.context, seed=12)
if enable_extents:
target_radii = 2**rng.uniform(queue, ntargets, dtype=dtype, a=-10, b=0)
else:
target_radii = None
from boxtree import TreeBuilder
tb = TreeBuilder(ctx)
tree, _ = tb(queue, sources, targets=targets,
max_particles_in_box=30,
target_radii=target_radii,
debug=True, stick_out_factor=0.25)
from boxtree.traversal import FMMTraversalBuilder
tbuild = FMMTraversalBuilder(ctx)
trav, _ = tbuild(queue, tree, debug=True)
weights = np.ones(nsources)
weights_sum = np.sum(weights)
host_trav = trav.get(queue=queue)
host_tree = host_trav.tree
wrangler = ConstantOneExpansionWrangler(host_tree)
pot = drive_fmm(host_trav, wrangler, weights)
assert (pot == weights_sum).all()
# }}}
# You can test individual routines by typing
# $ python test_fmm.py 'test_routine(cl.create_some_context)'
if __name__ == "__main__":
import sys
if len(sys.argv) > 1:
exec(sys.argv[1])
else:
from py.test.cmdline import main
main([__file__])
# vim: fdm=marker