Python compute_dt_matrices Examples

Example #1

File: test_matrix_exp.py Project: siconos/siconos

def check_error(n, m, h, TV=False):
    err_inv = 1
    failed = False
    A = np.random.random((n, n))
    B = np.random.random((n, m))
    
    try:
        Ainv = np.linalg.inv(A)
        Aexp = expm(A * h)
        Psi = Ainv.dot((Aexp - np.eye(n)).dot(B))
        err_inv = np.linalg.norm(A.dot(np.linalg.inv(A)) - np.eye(n))
    except Exception as e :
        print('Exception in check_error(I) :', e)
        pass

    print('err_inv:', err_inv)
    if err_inv < 1.0e-12:
        try:
            (AexpS, PsiS) = compute_dt_matrices(A, B, h, TV)
            err_phi = np.linalg.norm((Aexp - AexpS))
            err_psi = np.linalg.norm(Psi - PsiS)
            if err_phi > 5.0e-12 or err_psi > 5.0e-12:
                print('err_phi', err_phi, 'err_psi', err_psi)
                failed = True
        except Exception as e :
            print('Exception in check_error(II) :', e)
            print(A.shape)
            failed = True
    return failed

Example #2

def check_error(n, m, h, TV=False):
    err_inv = 1
    failed = False
    A = np.random.random((n, n))
    B = np.random.random((n, m))

    try:
        Ainv = np.linalg.inv(A)
        Aexp = expm(A * h)
        Psi = Ainv.dot((Aexp - np.eye(n)).dot(B))
        err_inv = np.linalg.norm(A.dot(np.linalg.inv(A)) - np.eye(n))
    except Exception as e:
        print('Exception in check_error(I) :', e)
        pass

    print('err_inv:', err_inv)
    if err_inv < 1.0e-12:
        try:
            (AexpS, PsiS) = compute_dt_matrices(A, B, h, TV)
            err_phi = np.linalg.norm((Aexp - AexpS))
            err_psi = np.linalg.norm(Psi - PsiS)
            if err_phi > 5.0e-12 or err_psi > 5.0e-12:
                print('err_phi', err_phi, 'err_psi', err_psi)
                failed = True
        except Exception as e:
            print('Exception in check_error(II) :', e)
            print(A.shape)
            failed = True
    return failed

Example #3

File: test_matrix_exp.py Project: fperignon/siconos

def test_TV():
    h = 1.0e-4
    k = 0
    err = False
    while k < 10:
        n = np.random.randint(2, kmax)
        m = np.random.randint(1, n)
        A = np.random.random((n, n))
        B = np.random.random((n, m))
        errInv = 1
        try:
            Ainv = np.linalg.inv(A)
            Aexp = expm(A*h)
            Psi = Ainv.dot((Aexp-np.eye(n)).dot(B))
            k += 1
            errInv = np.linalg.norm(A.dot(np.linalg.inv(A))-np.eye(n))
        except:
            pass
        if errInv < 1.0e-12:
            try:
                (AexpS, PsiS) = compute_dt_matrices(A, B, h, TV=True)
            except:
                print(n, m)
            errPhi = np.linalg.norm((Aexp - AexpS))
            errPsi = np.linalg.norm(Psi-PsiS)
            if errPhi > 5.0e-12 or errPsi > 5.0e-12:
                print(errPhi, errPsi)
                err = True
    assert err == False