def distance(self, y0, y1):
"""
Compare Y1(s) with best matching pixel in Y2(s_n)
where s_s \in (the neighbourhood of s)
"""
Y1 = y0.resize(self.size).get_values()
Y2 = y1.resize(self.size).get_values()
Y2_unrolled = self.fs.image2unrolledneighbors(Y2)
Y1_repeated = self.fs.image2repeated(Y1)
assert_allclose(Y2_unrolled.shape, Y1_repeated.shape)
diff1 = np.abs(Y2_unrolled - Y1_repeated)
myres = np.mean(np.min(diff1, axis=1))
if False:
# old method, equivalent
neighbor_indices_flat = self.fs.neighbor_indices_flat
nchannels = Y1.shape[2]
nsensel = Y1[:, :, 0].size
best = np.zeros((nsensel, Y1.shape[2]))
for c in range(nchannels):
y1_flat = Y1[:, :, c].astype(np.int16).flat
y2_flat = Y2[:, :, c].astype(np.int16).flat
for k in range(nsensel):
a = y1_flat[k].astype(np.float)
b = y2_flat[neighbor_indices_flat[k]]
diff = np.abs(a - b)
best[k, c] = np.min(diff)
res = np.mean(best) # /self.maxval_distance_neighborhood_bestmatch
assert_allclose(res, myres)
return myres
def distance(self, y0, y1):
"""
Compare Y1(s) with best matching pixel in Y2(s_n)
where s_s \in (the neighbourhood of s)
"""
Y1 = y0.resize(self.size).get_values()
Y2 = y1.resize(self.size).get_values()
Y2_unrolled = self.fs.image2unrolledneighbors(Y2)
Y1_repeated = self.fs.image2repeated(Y1)
assert_allclose(Y2_unrolled.shape, Y1_repeated.shape)
diff1 = np.abs(Y2_unrolled - Y1_repeated)
myres = np.mean(np.min(diff1, axis=1))
if False:
# old method, equivalent
neighbor_indices_flat = self.fs.neighbor_indices_flat
nchannels = Y1.shape[2]
nsensel = Y1[:, :, 0].size
best = np.zeros((nsensel, Y1.shape[2]))
for c in range(nchannels):
y1_flat = Y1[:, :, c].astype(np.int16).flat
y2_flat = Y2[:, :, c].astype(np.int16).flat
for k in range(nsensel):
a = y1_flat[k].astype(np.float)
b = y2_flat[neighbor_indices_flat[k]]
diff = np.abs(a - b)
best[k, c] = np.min(diff)
res = np.mean(best) # /self.maxval_distance_neighborhood_bestmatch
assert_allclose(res, myres)
return myres
def plan_reducer_test2():
labels = [0, 1, 2, 3]
same = np.eye(4, dtype='bool')
inverse = np.zeros((4, 4), dtype='bool')
commute = np.ones((4, 4), dtype='bool')
inverse[0, 3] = inverse[3, 0] = 1
inverse[1, 2] = inverse[2, 1] = 1
pr = PlanReducer.from_matrices(labels, commute, inverse, same)
expected = []
for x in itertools.permutations(labels):
expected.append((x, ()))
expected.append(((0, 0, 0, 0, 2, 2, 3),
(0, 0, 0, 2, 2)))
expected.append(((2, 2, 0, 2, 2),
(0, 2, 2, 2, 2)))
expected.append(((3, 2), (2, 3)))
for a, b in expected:
a = tuple(a)
b = tuple(b)
b2 = pr.get_canonical(a)
assert_allclose(b, b2)
def plan_reducer_test2():
labels = [0, 1, 2, 3]
same = np.eye(4, dtype='bool')
inverse = np.zeros((4, 4), dtype='bool')
commute = np.ones((4, 4), dtype='bool')
inverse[0, 3] = inverse[3, 0] = 1
inverse[1, 2] = inverse[2, 1] = 1
pr = PlanReducer.from_matrices(labels, commute, inverse, same)
expected = []
for x in itertools.permutations(labels):
expected.append((x, ()))
expected.append(((0, 0, 0, 0, 2, 2, 3), (0, 0, 0, 2, 2)))
expected.append(((2, 2, 0, 2, 2), (0, 2, 2, 2, 2)))
expected.append(((3, 2), (2, 3)))
for a, b in expected:
a = tuple(a)
b = tuple(b)
b2 = pr.get_canonical(a)
assert_allclose(b, b2)
def belongs_ts(self, bv):
'''
Checks that a vector *vx* belongs to the tangent space
at the given point *base*.
'''
bvp = self.project_ts(bv)
assert_allclose(bv[1], bvp[1], atol=self.atol_distance)
def test_distance_norm_weighted1():
shape = (5, 3)
one = np.ones(shape)
sure = one
zero = 0 * one
L2 = DistanceNorm(2)
L1 = DistanceNorm(1)
L2w = DistanceNormWeighted(2)
L1w = DistanceNormWeighted(1)
cases = [
(0.0, L2, UncertainImage(one, sure), UncertainImage(one, sure)),
(1.0, L2, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L1, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L2w, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L1w, UncertainImage(zero, sure), UncertainImage(one, sure)),
(0.5, L1, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
(0.5, L2, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
(0.5, L1w, UncertainImage(zero, sure), UncertainImage(one * 0.5,
sure)),
(0.5, L2w, UncertainImage(zero, sure), UncertainImage(one * 0.5,
sure)),
]
v1 = one * 0.5
u1 = one
v2 = v1.copy()
u2 = u1.copy()
# Modify random pixels, and put the uncertainty at zero
for _ in range(5):
i = np.random.randint(v1.size - 1)
v2.flat[i] = np.random.rand()
u2.flat[i] = 0
# then the distane should still be 0
cases.append((0, L1w, UncertainImage(v1, u1), UncertainImage(v2, u2)))
cases.append((0, L2w, UncertainImage(v1, u1), UncertainImage(v2, u2)))
for expected, d, y0, y1 in cases:
distance = d.distance(y0, y1)
try:
assert_allclose(distance, expected)
except:
print(' distance: %s' % d)
print(' y0: %s' % y0)
print(' y1: %s' % y1)
print(' expected: %s' % expected)
print(' obtained: %s' % distance)
raise
def test_distance_norm_weighted2():
shape = (5, 3)
one = np.ones(shape)
zero = 0 * one
L2w = DistanceNormWeighted(2)
L1w = DistanceNormWeighted(1)
r = np.random.rand(*shape)
# two equal but with strange uncertainty
y1 = UncertainImage(r, np.round(np.random.rand(*shape)))
y2 = UncertainImage(r, np.round(np.random.rand(*shape)))
assert_allclose(L2w.distance(y1, y2), 0)
assert_allclose(L1w.distance(y1, y2), 0)
# two completely different but with strange uncertainty
y1 = UncertainImage(one, np.round(np.random.rand(*shape)))
y2 = UncertainImage(zero, np.round(np.random.rand(*shape)))
assert_allclose(L2w.distance(y1, y2), 1)
assert_allclose(L1w.distance(y1, y2), 1)
def compute_dist_stats(config, id_distance, id_stream, delta):
distance = config.distances.instance(id_distance)
stream = config.streams.instance(id_stream)
it = stream.read_all()
results = []
for logitem in iterate_testcases(it, delta):
assert_allclose(len(logitem.u), delta)
y0 = UncertainImage(logitem.y0)
y1 = UncertainImage(logitem.y1)
d = distance.distance(y0, y1)
results.append(d)
logger.info('%s: found %d of %d steps in %s' %
(id_distance, len(results), delta, id_stream))
return results
def compute_dist_stats(config, id_distance, id_stream, delta):
distance = config.distances.instance(id_distance)
stream = config.streams.instance(id_stream)
it = stream.read_all()
results = []
for logitem in iterate_testcases(it, delta):
assert_allclose(len(logitem.u), delta)
y0 = UncertainImage(logitem.y0)
y1 = UncertainImage(logitem.y1)
d = distance.distance(y0, y1)
results.append(d)
logger.info('%s: found %d of %d steps in %s' %
(id_distance, len(results), delta, id_stream))
return results
def test_distance_norm_weighted1():
shape = (5, 3)
one = np.ones(shape)
sure = one
zero = 0 * one
L2 = DistanceNorm(2)
L1 = DistanceNorm(1)
L2w = DistanceNormWeighted(2)
L1w = DistanceNormWeighted(1)
cases = [
(0.0, L2, UncertainImage(one, sure), UncertainImage(one, sure)),
(1.0, L2, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L1, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L2w, UncertainImage(zero, sure), UncertainImage(one, sure)),
(1.0, L1w, UncertainImage(zero, sure), UncertainImage(one, sure)),
(0.5, L1, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
(0.5, L2, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
(0.5, L1w, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
(0.5, L2w, UncertainImage(zero, sure), UncertainImage(one * 0.5, sure)),
]
v1 = one * 0.5
u1 = one
v2 = v1.copy()
u2 = u1.copy()
# Modify random pixels, and put the uncertainty at zero
for _ in range(5):
i = np.random.randint(v1.size - 1)
v2.flat[i] = np.random.rand()
u2.flat[i] = 0
# then the distane should still be 0
cases.append((0, L1w, UncertainImage(v1, u1), UncertainImage(v2, u2)))
cases.append((0, L2w, UncertainImage(v1, u1), UncertainImage(v2, u2)))
for expected, d, y0, y1 in cases:
distance = d.distance(y0, y1)
try:
assert_allclose(distance, expected)
except:
print(' distance: %s' % d)
print(' y0: %s' % y0)
print(' y1: %s' % y1)
print(' expected: %s' % expected)
print(' obtained: %s' % distance)
raise
def compute_predstats(config, id_discdds, id_stream, delta, id_distances):
dds = config.discdds.instance(id_discdds)
stream = config.streams.instance(id_stream)
distances = dict(map(lambda x: (x, config.distances.instance(x)), id_distances))
dtype = [(x, 'float32') for x in id_distances]
results = []
for logitem in iterate_testcases(stream.read_all(), delta):
assert_allclose(len(logitem.u), delta)
y0 = UncertainImage(logitem.y0)
y1 = UncertainImage(logitem.y1)
py0 = dds.predict(y0, dds.commands_to_indices(logitem.u))
ds = []
for name in id_distances:
d = distances[name].distance(y1, py0)
# d0 = distances[name].distance(y1, y0)
ds.append(d)
a = np.array(tuple(ds), dtype=dtype)
results.append(a)
# pdb.set_trace()
return results
def compute_predstats(id_discdds, id_stream, delta, id_distances):
dds = get_conftools_discdds().instance(id_discdds)
stream = get_conftools_streams().instance(id_stream)
distances_library = get_conftools_uncertain_image_distances()
distances = dict(
map(lambda x: (x, distances_library.instance(x)), id_distances))
dtype = [(x, 'float32') for x in id_distances]
results = []
for logitem in iterate_testcases(stream.read_all(), delta):
assert_allclose(len(logitem.u), delta)
y0 = UncertainImage(logitem.y0)
y1 = UncertainImage(logitem.y1)
py0 = dds.predict(y0, dds.commands_to_indices(logitem.u))
ds = []
for name in id_distances:
d = distances[name].distance(y1, py0)
# d0 = distances[name].distance(y1, y0)
ds.append(d)
a = np.array(tuple(ds), dtype=dtype)
results.append(a)
return results
def test_distance_norm_weighted2():
shape = (5, 3)
one = np.ones(shape)
zero = 0 * one
L2w = DistanceNormWeighted(2)
L1w = DistanceNormWeighted(1)
r = np.random.rand(*shape)
# two equal but with strange uncertainty
y1 = UncertainImage(r, np.round(np.random.rand(*shape)))
y2 = UncertainImage(r, np.round(np.random.rand(*shape)))
assert_allclose(L2w.distance(y1, y2), 0)
assert_allclose(L1w.distance(y1, y2), 0)
# two completely different but with strange uncertainty
y1 = UncertainImage(one, np.round(np.random.rand(*shape)))
y2 = UncertainImage(zero, np.round(np.random.rand(*shape)))
assert_allclose(L2w.distance(y1, y2), 1)
assert_allclose(L1w.distance(y1, y2), 1)
def belongs(self, x):
# TODO: make this much more efficient
check('array[NxN],orthogonal', x, N=self.n)
det = np.linalg.det(x)
assert_allclose(det, 1, err_msg='I expect the determinant to be +1.')
def belongs(self, x):
assert_allclose(x.size, self.dimension)
assert np.all(np.isreal(x)), "Expected real vector"
def belongs(self, x):
# TODO: make this much more efficient
check('array[NxN],orthogonal', x, N=self.n)
det = np.linalg.det(x)
assert_allclose(det, 1, err_msg='I expect the determinant to be +1.')
def belongs(self, x):
assert_allclose(x.size, self.dimension)
assert np.all(np.isreal(x)), "Expected real vector"
def assert_projection(P):
assert_allclose(P.T, P)
assert_allclose(np.dot(P, P), P)
