def test_homomorphism():
GLZ_B = MG.GLZ(B, 'xy')
GLZ_D = MG.GLZ(D, 'ij')
GLZ_BD = MG.product_homomorphism(GLZ_B, GLZ_D)
yield assert_true, np.allclose(GLZ_BD.matrix[:2,:2], GLZ_B.matrix)
yield assert_true, np.allclose(GLZ_BD.matrix[2:,2:], GLZ_D.matrix)
yield assert_true, np.allclose(GLZ_BD.matrix[2:,:2], 0)
yield assert_true, np.allclose(GLZ_BD.matrix[:2,2:], 0)
GLZ_C = MG.GLZ(D, 'xy')
# have the same axisnames, an exception will be raised
yield assert_raises, ValueError, MG.product_homomorphism, GLZ_C, GLZ_B
E = np.array([[7,8],
[8,9]])
GLZ_E = MG.GLZ(E, 'ij')
F = np.array([[6,7],
[5,6]])
GLZ_F = MG.GLZ(E, 'xy')
GLZ_FE = MG.product_homomorphism(GLZ_F, GLZ_E)
test1 = MG.product(GLZ_FE, GLZ_BD)
test2 = MG.product_homomorphism(MG.product(GLZ_F, GLZ_B), MG.product(GLZ_E, GLZ_D))
yield assert_true, np.allclose(test1.matrix, test2.matrix)
def test_homomorphism():
GLZ_B = MG.GLZ(B, 'xy')
GLZ_D = MG.GLZ(D, 'ij')
GLZ_BD = MG.product_homomorphism(GLZ_B, GLZ_D)
yield assert_true, np.allclose(GLZ_BD.matrix[:2, :2], GLZ_B.matrix)
yield assert_true, np.allclose(GLZ_BD.matrix[2:, 2:], GLZ_D.matrix)
yield assert_true, np.allclose(GLZ_BD.matrix[2:, :2], 0)
yield assert_true, np.allclose(GLZ_BD.matrix[:2, 2:], 0)
GLZ_C = MG.GLZ(D, 'xy')
# have the same axisnames, an exception will be raised
yield assert_raises, ValueError, MG.product_homomorphism, GLZ_C, GLZ_B
E = np.array([[7, 8], [8, 9]])
GLZ_E = MG.GLZ(E, 'ij')
F = np.array([[6, 7], [5, 6]])
GLZ_F = MG.GLZ(E, 'xy')
GLZ_FE = MG.product_homomorphism(GLZ_F, GLZ_E)
test1 = MG.product(GLZ_FE, GLZ_BD)
test2 = MG.product_homomorphism(MG.product(GLZ_F, GLZ_B),
MG.product(GLZ_E, GLZ_D))
yield assert_true, np.allclose(test1.matrix, test2.matrix)
def test_product():
GLZ_A = MG.GLZ(A, 'xy')
GLZ_B = MG.GLZ(B, 'xy')
GLZ_C = MG.GLZ(B, 'ij')
GLZ_AB = MG.product(GLZ_A, GLZ_B)
yield (assert_true,
np.allclose(GLZ_AB.matrix, np.dot(GLZ_A.matrix, GLZ_B.matrix)))
# different coordinates: can't make the product
yield assert_raises, ValueError, MG.product, GLZ_A, GLZ_C
def test_product():
GLZ_A = MG.GLZ(A, 'xy')
GLZ_B = MG.GLZ(B, 'xy')
GLZ_C = MG.GLZ(B, 'ij')
GLZ_AB = MG.product(GLZ_A, GLZ_B)
yield (assert_true,
np.allclose(GLZ_AB.matrix, np.dot(GLZ_A.matrix, GLZ_B.matrix)))
# different coordinates: can't make the product
yield assert_raises, ValueError, MG.product, GLZ_A, GLZ_C
def test_32():
class O32(MG.O):
dtype = np.float32
def validate(self, M=None):
"""
Check that the matrix is (almost) orthogonal.
"""
if M is None:
M = self.matrix
return np.allclose(np.identity(self.ndims[0], dtype=self.dtype), np.dot(M.T, M), atol=1.0e-06)
a = random_orth(3).matrix.astype(np.float32)
A = O32(a, 'xyz')
B = O32(random_orth(3).matrix.astype(np.float32), 'xyz')
C = MG.product(A, B)
yield assert_equal, C.dtype, np.float32
ev = ArrayCoordMap.from_shape(C, (20,30,40))
yield assert_equal, ev.values.dtype, np.float32
def test_32():
class O32(MG.O):
dtype = np.float32
def validate(self, M=None):
"""
Check that the matrix is (almost) orthogonal.
"""
if M is None:
M = self.matrix
return np.allclose(np.identity(self.ndims[0], dtype=self.dtype), np.dot(M.T, M), atol=1.0e-06)
a = random_orth(3).matrix.astype(np.float32)
A = O32(a, 'xyz')
B = O32(random_orth(3).matrix.astype(np.float32), 'xyz')
C = MG.product(A, B)
yield assert_equal, C.dtype, np.float32
ev = ArrayCoordMap.from_shape(C, (20,30,40))
yield assert_equal, ev.values.dtype, np.float32
def test_product2():
O_1 = random_orth(names='xyz')
O_2 = random_orth(names='xyz')
O_21 = MG.product(O_2, O_1)
def test_product2():
O_1 = random_orth(names='xyz')
O_2 = random_orth(names='xyz')
O_21 = MG.product(O_2, O_1)