class GeometricTests(TestCase):
def setUp(self):
self.coords = set(
(sin(0.1 * t), sin(0.2 * t), sin(0.3 * t)) for t in xrange(50))
self.o = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
self.o.extend((p, True) for p in self.coords)
def test_basic(self):
self.assertEqual(len(self.o), 50)
def test_get(self):
for (i, p) in enumerate(self.coords):
self.assertTrue(self.o.get(p, False))
self.assertFalse(self.o.get((2.3, 3.4, 4.5), False))
def test_by_distance_from_point(self):
p = (0.123, 0.456, 0.789)
l1 = list(self.o.by_distance_from_point(p))
l2 = list(self.o.by_distance_from_point_rev(p))
self.assertEqual(
set(c for (_, c, _) in l1), self.coords,
"""the points in order of distance from p should
be the same as the points we put in""")
for (d, c, v) in l1:
self.assertEqual(
d, euclidean_point_point(p, c), """the
points in order of distance from p should have distance
computed correctly""")
self.assertEqual(
l1, list(reversed(l2)), """the points in
order of distance reversed should be the reverse of the points
in order of distance""")
for ((d1, _, _), (d2, _, _)) in zip(l1, l1[1:]):
self.assertTrue(
d1 <= d2, """the points in order of
distance from p should have increasing distance from p""")
self.assertEqual(
self.o.nearest_to_point(p), l1[0], """the
nearest point to p should be the first in order of distance
from p""")
l3 = list(self.o.by_distance_from_point(p, 1.3))
self.assertEqual(
l3, l1[:len(l3)], """the points near p should
be an initial segment of the points in order of distance from p""")
def test_embiggen(self):
b = ((-1.0, 1.6), (-1.0, 1.6), (-1.0, 1.6))
o2 = self.o.rebound(b)
self.assertEqual(o2.bounds, b)
p = (0.653, -0.234, 0.113)
l1 = list(self.o.by_distance_from_point(p))
l2 = list(o2.by_distance_from_point(p))
self.assertEqual(
l1, l2, """enlarging the bounds shouldn't
have changed the points""")
def test_restrict(self):
b = ((-1.57, 0.43), (-0.76, 0.83), (-0.37, 1.96))
o2 = self.o.rebound(b)
self.assertEqual(o2.bounds, b)
p = (0.653, -0.234, 0.113)
l1 = [(d, c, v) for (d, c, v) in self.o.by_distance_from_point(p)
if point_in_box(c, b)]
l2 = list(o2.by_distance_from_point(p))
self.assertEqual(
l1, l2, """playing around with the bounds
should restrict the points""")
def test_remove_all(self):
p = (-0.432, 0.651, 0.791)
l = list(self.o.by_distance_from_point(p))
n = len(l)
for (i, (_, c, _)) in enumerate(l):
self.o.remove(c)
self.assertEqual(len(self.o), n - i - 1)
with self.assertRaises(KeyError):
self.o.remove(c)
def test_union(self):
p = (0.236, -0.532, -0.117)
l = [c for (_, c, _) in self.o.by_distance_from_point(p)]
o1 = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
o1.extend((p, True) for p in l[:25])
self.assertEqual(len(o1), 25)
o2 = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
o2.extend((p, True) for p in l[25:])
self.assertEqual(len(o2), 25)
self.assertEqual(o1.simple_union(o2), self.o)
def test_matrix(self):
m = ((0.123, 0.143, -0.987), (-0.345, 0.687, -0.431), (0.361, -0.183,
0.781))
o1 = self.o.apply_matrix(m)
s = set(matrix_action(m, p) for p in self.coords)
self.assertEqual(len(s), len(self.coords))
g1 = o1.by_distance_from_point((0.123, 0.456, 0.789))
s1 = set(c for (_, c, _) in g1)
self.assertEqual(s, s1)
def test_iter_and_subset(self):
l1 = set(t for (t, _) in self.o if sum(t) > 0)
l2 = set(t for t in self.coords if sum(t) > 0)
l3 = set(t for (t, _) in self.o.subset(lambda t: sum(t) > 0))
self.assertEqual(l1, l2)
self.assertEqual(l1, l3)
def test_point_within_distance(self):
epsilon = 0.1
for t in xrange(150, 200):
p = (sin(0.1 * t), sin(0.2 * t), sin(0.3 * t))
try:
self.o.by_distance_from_point(p, epsilon).next()
f_computed = True
except StopIteration:
f_computed = False
f_real = False
for (q, _) in self.o:
if euclidean_point_point(p, q) < epsilon:
f_real = True
break
self.assertEqual(f_computed, f_real)
class GeometricTests(TestCase):
def setUp(self):
self.coords = set((sin(0.1*t), sin(0.2*t), sin(0.3*t))
for t in xrange(50))
self.o = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
self.o.extend((p, True) for p in self.coords)
def test_basic(self):
self.assertEqual(len(self.o), 50)
def test_get(self):
for (i, p) in enumerate(self.coords):
self.assertTrue(self.o.get(p, False))
self.assertFalse(self.o.get((2.3, 3.4, 4.5), False))
def test_by_distance_from_point(self):
p = (0.123, 0.456, 0.789)
l1 = list(self.o.by_distance_from_point(p))
l2 = list(self.o.by_distance_from_point_rev(p))
self.assertEqual(set(c for (_, c, _) in l1), self.coords,
"""the points in order of distance from p should
be the same as the points we put in""")
for (d, c, v) in l1:
self.assertEqual(d, euclidean_point_point(p, c), """the
points in order of distance from p should have distance
computed correctly""")
self.assertEqual(l1, list(reversed(l2)), """the points in
order of distance reversed should be the reverse of the points
in order of distance""")
for ((d1, _, _), (d2, _, _)) in zip(l1, l1[1:]):
self.assertTrue(d1 <= d2, """the points in order of
distance from p should have increasing distance from p""")
self.assertEqual(self.o.nearest_to_point(p), l1[0], """the
nearest point to p should be the first in order of distance
from p""")
l3 = list(self.o.by_distance_from_point(p, 1.3))
self.assertEqual(l3, l1[:len(l3)], """the points near p should
be an initial segment of the points in order of distance from p""")
def test_embiggen(self):
b = ((-1.0, 1.6), (-1.0, 1.6), (-1.0, 1.6))
o2 = self.o.rebound(b)
self.assertEqual(o2.bounds, b)
p = (0.653, -0.234, 0.113)
l1 = list(self.o.by_distance_from_point(p))
l2 = list(o2.by_distance_from_point(p))
self.assertEqual(l1, l2, """enlarging the bounds shouldn't
have changed the points""")
def test_restrict(self):
b = ((-1.57, 0.43), (-0.76, 0.83), (-0.37, 1.96))
o2 = self.o.rebound(b)
self.assertEqual(o2.bounds, b)
p = (0.653, -0.234, 0.113)
l1 = [(d, c, v)
for (d, c, v) in self.o.by_distance_from_point(p)
if point_in_box(c, b)]
l2 = list(o2.by_distance_from_point(p))
self.assertEqual(l1, l2, """playing around with the bounds
should restrict the points""")
def test_remove_all(self):
p = (-0.432, 0.651, 0.791)
l = list(self.o.by_distance_from_point(p))
n = len(l)
for (i, (_, c, _)) in enumerate(l):
self.o.remove(c)
self.assertEqual(len(self.o), n-i-1)
with self.assertRaises(KeyError):
self.o.remove(c)
def test_union(self):
p = (0.236, -0.532, -0.117)
l = [c for (_, c, _) in self.o.by_distance_from_point(p)]
o1 = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
o1.extend((p, True) for p in l[:25])
self.assertEqual(len(o1), 25)
o2 = Octree(((-1.0, 1.0), (-1.0, 1.0), (-1.0, 1.0)))
o2.extend((p, True) for p in l[25:])
self.assertEqual(len(o2), 25)
self.assertEqual(o1.simple_union(o2), self.o)
def test_matrix(self):
m = ((0.123, 0.143, -0.987),
(-0.345, 0.687, -0.431),
(0.361, -0.183, 0.781))
o1 = self.o.apply_matrix(m)
s = set(matrix_action(m, p) for p in self.coords)
self.assertEqual(len(s), len(self.coords))
g1 = o1.by_distance_from_point((0.123, 0.456, 0.789))
s1 = set(c for (_, c, _) in g1)
self.assertEqual(s, s1)
def test_iter_and_subset(self):
l1 = set(t for (t, _) in self.o if sum(t) > 0)
l2 = set(t for t in self.coords if sum(t) > 0)
l3 = set(t for (t, _) in self.o.subset(lambda t: sum(t) > 0))
self.assertEqual(l1, l2)
self.assertEqual(l1, l3)
def test_point_within_distance(self):
epsilon = 0.1
for t in xrange(150, 200):
p = (sin(0.1*t), sin(0.2*t), sin(0.3*t))
try:
self.o.by_distance_from_point(p, epsilon).next()
f_computed = True
except StopIteration:
f_computed = False
f_real = False
for (q, _) in self.o:
if euclidean_point_point(p, q) < epsilon:
f_real = True
break
self.assertEqual(f_computed, f_real)