def test_forward_solve():
q, r, s = map(lambda x: Tensor(x, rank=1), 'qrs')
delta = Tensor('delta', rank=0)
eqn1 = s + q
eqn2 = delta * r - q
sol_dict = forward_solve([eqn1, eqn2], [delta, r])
print "sol_dict should be: {q: delta*r, s: -q }"
print " actual:", sol_dict
def test_overdetermined_forward_solve():
pi_1, pi_2, mu_12 = \
map(lambda x: Tensor(x, rank=0),
['pi_1', 'pi_2', 'mu_12'])
r_2, p_1, p_2 = \
map(lambda x: Tensor(x, rank=1),
['r_2', 'p_1', 'p_2'])
A = Tensor('A', rank=2)
eqns = [ pi_2 - T(r_2) * A * r_2 + T(mu_12) * pi_1 * mu_12,
p_2 - r_2 + p_1 * mu_12,
pi_2 - T(p_2) * A * p_2,
]
return forward_solve(eqns, [r_2, p_1, mu_12, A, pi_1], True)
def test_3 ():
q, r, s = map(lambda x: Tensor(x, rank=1), 'qrs')
s_t = Transpose(s)
delta = Tensor('delta', rank=0)
eqn1 = r - s - q * delta
eqn2 = s_t * r
print forward_solve([eqn1, eqn2], [r, s, q])
print forward_solve([eqn1, eqn2], [delta, s, q])
print forward_solve([eqn2, eqn1], [delta, s, q])