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import eigenpy
eigenpy.switchToNumpyArray()
import numpy as np
import numpy.linalg as la
dim = 100
A = np.random.rand(dim,dim)
A = (A + A.T)*0.5 + np.diag(10. + np.random.rand(dim))
ldlt = eigenpy.LDLT(A)
L = ldlt.matrixL()
D = ldlt.vectorD()
P = ldlt.transpositionsP()
assert eigenpy.is_approx(np.transpose(P).dot(L.dot(np.diag(D).dot(np.transpose(L).dot(P)))),A)