def test_make_unitary():
rng = np.random.RandomState(1)
a = SemanticPointer(100, rng=rng)
a.make_unitary()
assert np.allclose(1, a.length())
assert np.allclose(1, (a * a).length())
assert np.allclose(1, (a * a * a).length())
def test_conv_matrix():
a = SemanticPointer(50)
b = SemanticPointer(50)
m = b.get_convolution_matrix()
assert np.allclose((a * b).v, np.dot(m, a.v))
def test_make_unitary():
rng = np.random.RandomState(1)
a = SemanticPointer(100, rng=rng)
a.make_unitary()
assert np.allclose(1, a.length())
assert np.allclose(1, (a * a).length())
assert np.allclose(1, (a * a * a).length())
def test_conv_matrix():
a = SemanticPointer(50)
b = SemanticPointer(50)
m = b.get_convolution_matrix()
assert np.allclose((a*b).v, np.dot(m, a.v))
def test_compare(rng):
a = SemanticPointer(50, rng=rng) * 10
b = SemanticPointer(50, rng=rng) * 0.1
assert a.compare(a) > 0.99
assert a.compare(b) < 0.2
assert np.allclose(a.compare(b), a.dot(b) / (a.length() * b.length()))
def test_compare():
rng = np.random.RandomState(5)
a = SemanticPointer(50, rng=rng) * 10
b = SemanticPointer(50, rng=rng) * 0.1
assert np.allclose(a.compare(a), 1)
assert np.allclose(a.compare(b), 0, atol=0.01)
assert np.allclose(a.compare(b), a.dot(b) / (a.length() * b.length()))
def test_add_sub():
a = SemanticPointer(10)
b = SemanticPointer(10)
c = a.copy()
d = b.copy()
c += b
d -= -a
assert np.allclose((a + b).v, a.v + b.v)
assert np.allclose((a + b).v, c.v)
assert np.allclose((a + b).v, d.v)
assert np.allclose((a + b).v, (a - (-b)).v)
def test_convolution(rng):
a = SemanticPointer(64, rng=rng)
b = SemanticPointer(64, rng=rng)
identity = SemanticPointer(np.eye(64)[0])
c = a.copy()
c *= b
ans = np.fft.ifft(np.fft.fft(a.v) * np.fft.fft(b.v)).real
assert np.allclose((a * b).v, ans)
assert np.allclose(a.convolve(b).v, ans)
assert np.allclose(c.v, ans)
assert np.allclose((a * identity).v, a.v)
assert (a * b * ~b).compare(a) > 0.65
def test_convolution():
rng = np.random.RandomState(3)
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
identity = SemanticPointer(np.eye(50)[0])
c = a.copy()
c *= b
ans = np.fft.ifft(np.fft.fft(a.v) * np.fft.fft(b.v)).real
assert np.allclose((a * b).v, ans)
assert np.allclose(a.convolve(b).v, ans)
assert np.allclose(c.v, ans)
assert np.allclose((a * identity).v, a.v)
assert (a * b * ~b).compare(a) > 0.7
def test_randomize(rng):
a = SemanticPointer(100, rng=rng)
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
a = SemanticPointer(100)
a.randomize(rng=rng)
assert len(a) == 100
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
a = SemanticPointer(5)
a.randomize(N=100, rng=rng)
assert len(a) == 100
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
def test_compare(rng):
a = SemanticPointer(50, rng=rng) * 10
b = SemanticPointer(50, rng=rng) * 0.1
assert a.compare(a) > 0.99
assert a.compare(b) < 0.2
assert np.allclose(a.compare(b), a.dot(b) / (a.length() * b.length()))
def test_compare():
rng = np.random.RandomState(5)
a = SemanticPointer(50, rng=rng)*10
b = SemanticPointer(50, rng=rng)*0.1
assert np.allclose(a.compare(a), 1)
assert np.allclose(a.compare(b), 0, atol=0.01)
assert np.allclose(a.compare(b), a.dot(b) / (a.length() * b.length()))
def test_multiply():
a = SemanticPointer(50)
assert np.allclose((a * 5).v, a.v * 5)
assert np.allclose((5 * a).v, a.v * 5)
assert np.allclose((a * 5.7).v, a.v * 5.7)
assert np.allclose((5.7 * a).v, a.v * 5.7)
assert np.allclose((0 * a).v, np.zeros(50))
assert np.allclose((1 * a).v, a.v)
with pytest.raises(Exception):
a * None
with pytest.raises(Exception):
a * 'string'
def test_randomize(rng):
a = SemanticPointer(100, rng=rng)
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
a = SemanticPointer(100)
a.randomize(rng=rng)
assert len(a) == 100
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
a = SemanticPointer(5)
a.randomize(N=100, rng=rng)
assert len(a) == 100
std = np.std(a.v)
assert np.allclose(std, 1.0 / np.sqrt(len(a)), rtol=0.02)
def test_add_sub():
a = SemanticPointer(10)
b = SemanticPointer(10)
c = a.copy()
d = b.copy()
c += b
d -= -a
assert np.allclose((a + b).v, a.v + b.v)
assert np.allclose((a + b).v, c.v)
assert np.allclose((a + b).v, d.v)
assert np.allclose((a + b).v, (a - (-b)).v)
def test_convolution(rng):
a = SemanticPointer(64, rng=rng)
b = SemanticPointer(64, rng=rng)
identity = SemanticPointer(np.eye(64)[0])
c = a.copy()
c *= b
ans = np.fft.ifft(np.fft.fft(a.v) * np.fft.fft(b.v)).real
assert np.allclose((a * b).v, ans)
assert np.allclose(a.convolve(b).v, ans)
assert np.allclose(c.v, ans)
assert np.allclose((a * identity).v, a.v)
assert (a * b * ~b).compare(a) > 0.65
def test_convolution():
rng = np.random.RandomState(3)
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
identity = SemanticPointer(np.eye(50)[0])
c = a.copy()
c *= b
ans = np.fft.ifft(np.fft.fft(a.v) * np.fft.fft(b.v)).real
assert np.allclose((a * b).v, ans)
assert np.allclose(a.convolve(b).v, ans)
assert np.allclose(c.v, ans)
assert np.allclose((a * identity).v, a.v)
assert (a * b * ~b).compare(a) > 0.7
def test_copy():
a = SemanticPointer(5)
b = a.copy()
assert a is not b
assert a.v is not b.v
assert np.allclose(a.v, b.v)
def test_len():
a = SemanticPointer(5)
assert len(a) == 5
a = SemanticPointer(list(range(10)))
assert len(a) == 10
def test_length():
a = SemanticPointer([1, 1])
assert np.allclose(a.length(), np.sqrt(2))
a = SemanticPointer(10)*1.2
assert np.allclose(a.length(), 1.2)
def test_distance():
rng = np.random.RandomState(6)
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
assert np.allclose(a.distance(a), 0)
assert np.allclose(a.distance(b), 1, atol=0.1)
def test_init():
a = SemanticPointer([1, 2, 3, 4])
assert len(a) == 4
a = SemanticPointer([1, 2, 3, 4, 5])
assert len(a) == 5
a = SemanticPointer(list(range(100)))
assert len(a) == 100
a = SemanticPointer(27)
assert len(a) == 27
assert np.allclose(a.length(), 1)
with pytest.raises(Exception):
a = SemanticPointer(np.zeros(2, 2))
with pytest.raises(Exception):
a = SemanticPointer(-1)
with pytest.raises(Exception):
a = SemanticPointer(0)
with pytest.raises(Exception):
a = SemanticPointer(1.7)
with pytest.raises(Exception):
a = SemanticPointer(None)
with pytest.raises(Exception):
a = SemanticPointer(int)
def test_str():
a = SemanticPointer([1, 1])
assert str(a) == str(np.array([1., 1.]))
def test_length():
a = SemanticPointer([1, 1])
assert np.allclose(a.length(), np.sqrt(2))
a = SemanticPointer(10) * 1.2
assert np.allclose(a.length(), 1.2)
def test_dot(rng):
a = SemanticPointer(50, rng=rng) * 1.1
b = SemanticPointer(50, rng=rng) * (-1.5)
assert np.allclose(a.dot(b), np.dot(a.v, b.v))
def test_distance(rng):
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
assert a.distance(a) < 1e-5
assert a.distance(b) > 0.9
def test_make_unitary(rng):
a = SemanticPointer(100, rng=rng)
a.make_unitary()
assert np.allclose(1, a.length())
assert np.allclose(1, (a * a).length())
assert np.allclose(1, (a * a * a).length())
def test_dot():
rng = np.random.RandomState(6)
a = SemanticPointer(50, rng=rng) * 1.1
b = SemanticPointer(50, rng=rng) * (-1.5)
assert np.allclose(a.dot(b), np.dot(a.v, b.v))
def test_copy():
a = SemanticPointer(5)
b = a.copy()
assert a is not b
assert a.v is not b.v
assert np.allclose(a.v, b.v)
def test_normalize():
a = SemanticPointer([1, 1])
a.normalize()
assert np.allclose(a.length(), 1)
def test_mse():
a = SemanticPointer(50)
b = SemanticPointer(50)
assert np.allclose(((a - b).length()**2) / 50, a.mse(b))
def test_str():
a = SemanticPointer([1, 1])
assert str(a) == '[ 1. 1.]'
def test_distance():
rng = np.random.RandomState(6)
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
assert np.allclose(a.distance(a), 0)
assert np.allclose(a.distance(b), 1, atol=0.1)
def test_normalize():
a = SemanticPointer([1, 1])
a.normalize()
assert np.allclose(a.length(), 1)
def test_dot():
rng = np.random.RandomState(6)
a = SemanticPointer(50, rng=rng) * 1.1
b = SemanticPointer(50, rng=rng) * (-1.5)
assert np.allclose(a.dot(b), np.dot(a.v, b.v))
def test_dot(rng):
a = SemanticPointer(50, rng=rng) * 1.1
b = SemanticPointer(50, rng=rng) * (-1.5)
assert np.allclose(a.dot(b), np.dot(a.v, b.v))
def test_distance(rng):
a = SemanticPointer(50, rng=rng)
b = SemanticPointer(50, rng=rng)
assert a.distance(a) < 1e-5
assert a.distance(b) > 0.9
def test_make_unitary(rng):
a = SemanticPointer(100, rng=rng)
a.make_unitary()
assert np.allclose(1, a.length())
assert np.allclose(1, (a * a).length())
assert np.allclose(1, (a * a * a).length())
def test_invert():
a = SemanticPointer(50)
assert a.v[0] == (~a).v[0]
assert a.v[49] == (~a).v[1]
assert np.allclose(a.v[1:], (~a).v[:0:-1])
def test_init():
a = SemanticPointer([1, 2, 3, 4])
assert len(a) == 4
a = SemanticPointer([1, 2, 3, 4, 5])
assert len(a) == 5
a = SemanticPointer(list(range(100)))
assert len(a) == 100
a = SemanticPointer(27)
assert len(a) == 27
assert np.allclose(a.length(), 1)
with pytest.raises(Exception):
a = SemanticPointer(np.zeros(2, 2))
with pytest.raises(Exception):
a = SemanticPointer(-1)
with pytest.raises(Exception):
a = SemanticPointer(0)
with pytest.raises(Exception):
a = SemanticPointer(1.7)
with pytest.raises(Exception):
a = SemanticPointer(None)
with pytest.raises(Exception):
a = SemanticPointer(int)
def test_mse():
a = SemanticPointer(50)
b = SemanticPointer(50)
assert np.allclose(((a - b).length() ** 2) / 50, a.mse(b))
