def test_approximating_intervals():
import random
learner = IntegratorLearner(f24, bounds=(0, 3), tol=1e-10)
xs, _ = learner.ask(10000)
random.shuffle(xs)
for x in xs:
learner.tell(x, f24(x))
ivals = sorted(learner.approximating_intervals, key=lambda l: l.a)
for i in range(len(ivals) - 1):
assert ivals[i].b == ivals[i + 1].a, (ivals[i], ivals[i + 1])
def test_tell_in_random_order(first_add_33=False):
from operator import attrgetter
import random
tol = 1e-10
for f, a, b in (
[f0, 0, 3],
[f21, 0, 1],
[f24, 0, 3],
[f7, 0, 1],
):
learners = []
for shuffle in [True, False]:
l = IntegratorLearner(f, bounds=(a, b), tol=tol)
if first_add_33:
xs, _ = l.ask(33)
for x in xs:
l.tell(x, f(x))
xs, _ = l.ask(10000)
if shuffle:
random.shuffle(xs)
for x in xs:
l.tell(x, f(x))
learners.append(l)
# Check whether the points of the learners are identical
assert set(learners[0].done_points) == set(learners[1].done_points)
# Test whether approximating_intervals gives a complete set of intervals
for l in learners:
ivals = sorted(l.approximating_intervals, key=lambda l: l.a)
for i in range(len(ivals) - 1):
assert ivals[i].b == ivals[i + 1].a, (ivals[i], ivals[i + 1])
# Test if approximating_intervals is the same for random order of adding the point
ivals = [
sorted(ival, key=attrgetter('a'))
for ival in [l.approximating_intervals for l in learners]
]
assert all(ival.a == other_ival.a for ival, other_ival in zip(*ivals))
# Test if the approximating_intervals are the same
ivals = [{(i.a, i.b)
for i in l.approximating_intervals} for l in learners]
assert ivals[0] == ivals[1]
# Test whether the igral is identical
assert np.allclose(learners[0].igral, learners[1].igral), f
# Compare if the errors are in line with the sequential case
igral, err, *_ = algorithm_4(f, a, b, tol=tol)
assert all((l.err + err >= abs(l.igral - igral)) for l in learners)
# Check that the errors are finite
for l in learners:
assert np.isfinite(l.err)
def test_removed_ask_one_by_one():
with pytest.raises(RuntimeError):
# This test should raise because integrating np.exp should be done
# after the 33th point
learner = IntegratorLearner(np.exp, bounds=(0, 1), tol=1e-15)
n = ns[-1] + 2 * (ns[0] - 2) # first + two children (33+6=39)
for _ in range(n):
xs, _ = learner.ask(1)
for x in xs:
learner.tell(x, learner.function(x))
def test_removed_choose_mutiple_points_at_once():
"""Given that a high-precision interval that was split into 2 low-precision ones,
we should use the high-precision interval.
"""
learner = IntegratorLearner(np.exp, bounds=(0, 1), tol=1e-15)
n = ns[-1] + 2 * (ns[0] - 2) # first + two children (33+6=39)
xs, _ = learner.ask(n)
for x in xs:
learner.tell(x, learner.function(x))
assert list(learner.approximating_intervals)[0] == learner.first_ival
def run_integrator_learner(f, a, b, tol, n):
learner = IntegratorLearner(f, bounds=(a, b), tol=tol)
for _ in range(n):
points, _ = learner.ask(1)
learner.tell_many(points, map(learner.function, points))
return learner
def test_adding_points_and_skip_one_point():
learner = IntegratorLearner(f24, bounds=(0, 3), tol=1e-10)
xs, _ = learner.ask(17)
skip_x = xs[1]
for x in xs:
if x != skip_x:
learner.tell(x, learner.function(x))
for i in range(1000):
xs, _ = learner.ask(1)
for x in xs:
if x != skip_x:
learner.tell(x, learner.function(x))
# Now add the point that was skipped
learner.tell(skip_x, learner.function(skip_x))
# Create a learner with the same number of points, which should
# give an identical igral value.
learner2 = IntegratorLearner(f24, bounds=(0, 3), tol=1e-10)
for i in range(1017):
xs, _ = learner2.ask(1)
for x in xs:
learner2.tell(x, learner2.function(x))
np.testing.assert_almost_equal(learner.igral, learner2.igral)
def test_choosing_and_adding_multiple_points_at_once():
learner = IntegratorLearner(f24, bounds=(0, 3), tol=1e-10)
xs, _ = learner.ask(100)
for x in xs:
learner.tell(x, learner.function(x))
def test_choosing_and_adding_points_one_by_one():
learner = IntegratorLearner(f24, bounds=(0, 3), tol=1e-10)
for _ in range(1000):
xs, _ = learner.ask(1)
for x in xs:
learner.tell(x, learner.function(x))
