def test_pyfmmlib_fmm(ctx_getter):
logging.basicConfig(level=logging.INFO)
from pytest import importorskip
importorskip("pyfmmlib")
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
nsources = 3000
ntargets = 1000
dims = 2
dtype = np.float64
helmholtz_k = 2
sources = p_normal(queue, nsources, dims, dtype, seed=15)
targets = (
p_normal(queue, ntargets, dims, dtype, seed=18)
+ np.array([2, 0]))
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)
logger.info("computing direct (reference) result")
from pyfmmlib import hpotgrad2dall_vec
ref_pot, _, _ = hpotgrad2dall_vec(ifgrad=False, ifhess=False,
sources=sources_host.T, charge=weights,
targets=targets_host.T, zk=helmholtz_k)
from boxtree.pyfmmlib_integration import Helmholtz2DExpansionWrangler
wrangler = Helmholtz2DExpansionWrangler(trav.tree, helmholtz_k, nterms=10)
from boxtree.fmm import drive_fmm
pot = drive_fmm(trav, wrangler, weights)
rel_err = la.norm(pot - ref_pot) / la.norm(ref_pot)
logger.info("relative l2 error: %g" % rel_err)
assert rel_err < 1e-5
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
dtype = np.float64
sources = p_normal(queue, nsources, dims, dtype, seed=15)
targets = (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)
if use_dipoles:
np.random.seed(13)
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
from boxtree.pyfmmlib_integration import FMMLibExpansionWrangler
wrangler = FMMLibExpansionWrangler(trav.tree,
helmholtz_k,
fmm_level_to_nterms=fmm_level_to_nterms,
dipole_vec=dipole_vec)
from boxtree.fmm import drive_fmm
timing_data = {}
pot = drive_fmm(trav, wrangler, weights, timing_data=timing_data)
print(timing_data)
assert timing_data
# {{{ 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
else:
kwargs["charge"] = weights
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
# }}}
# {{{ 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
def test_pyfmmlib_fmm(ctx_getter):
logging.basicConfig(level=logging.INFO)
from pytest import importorskip
importorskip("pyfmmlib")
ctx = ctx_getter()
queue = cl.CommandQueue(ctx)
nsources = 3000
ntargets = 1000
dims = 2
dtype = np.float64
helmholtz_k = 2
sources = p_normal(queue, nsources, dims, dtype, seed=15)
targets = (p_normal(queue, ntargets, dims, dtype, seed=18) +
np.array([2, 0]))
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 RanluxGenerator
rng = RanluxGenerator(queue, seed=20)
weights = rng.uniform(queue, nsources, dtype=np.float64).get()
#weights = np.ones(nsources)
logger.info("computing direct (reference) result")
from pyfmmlib import hpotgrad2dall_vec
ref_pot, _, _ = hpotgrad2dall_vec(ifgrad=False,
ifhess=False,
sources=sources_host.T,
charge=weights,
targets=targets_host.T,
zk=helmholtz_k)
from boxtree.pyfmmlib_integration import Helmholtz2DExpansionWrangler
wrangler = Helmholtz2DExpansionWrangler(trav.tree, helmholtz_k, nterms=10)
from boxtree.fmm import drive_fmm
pot = drive_fmm(trav, wrangler, weights)
rel_err = la.norm(pot - ref_pot) / la.norm(ref_pot)
logger.info("relative l2 error: %g" % rel_err)
assert rel_err < 1e-5