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_init():
"""
Test that we can initialize the MatrixGroup subclasses
"""
O_A = MG.O(A, 'xy')
GLR_A = MG.GLR(A, 'xy')
GLZ_A = MG.GLZ(A, 'xy')
SO_A = MG.SO(np.identity(2), 'xy')
B = np.array([[np.sin(0.75), np.cos(0.75)], [-np.cos(0.75), np.sin(0.75)]])
O_B = MG.O(B, 'xy')
SO_B = MG.O(B, 'xy')
B[1] = -B[1]
assert_raises(ValueError, MG.SO, B, 'xy')
O_B = MG.O(B, 'xy')