def test_back():
npr.seed(1)
nBatch, nz, neq, nineq = 1, 10, 1, 3
# nz, neq, nineq = 3,3,3
L = np.tril(np.random.randn(nz,nz)) + 2.*np.eye(nz,nz)
Q = L.dot(L.T)+1e-4*np.eye(nz)
G = 100.*npr.randn(nineq,nz)
A = 100.*npr.randn(neq,nz)
z0 = 1.*npr.randn(nz)
s0 = 100.*np.ones(nineq)
s0[:nineq//2] = 1e-6
# print(np.linalg.norm(L))
# print(np.linalg.norm(G))
# print(np.linalg.norm(A))
# print(np.linalg.norm(z0))
# print(np.linalg.norm(s0))
p = npr.randn(nBatch,nz)
# print(np.linalg.norm(p))
truez = npr.randn(nBatch,nz)
af = adact.AdactFunction()
zhat_0, nu_0, lam_0 = af.forward_single_np(p[0], L, G, A, z0, s0)
dl_dzhat_0 = zhat_0-truez[0]
S = Solver(L, A, G, z0, s0, 1e-8)
S.reinit(lam_0, zhat_0)
dp_0, dL_0, dG_0, dA_0, dz0_0, ds0_0 = af.backward_single_np_solver(
S, zhat_0, nu_0, lam_0, dl_dzhat_0, L, G, A, z0, s0)
# zhat_1, nu_1, lam_1 = af.forward_single_np(p[1], L, G, A, z0, s0)
# dl_dzhat_1 = zhat_1-truez[1]
# S.reinit(lam_1, zhat_1)
# dp_1, dL_1, dG_1, dA_1, dz0_1, ds0_1 = af.backward_single_np_solver(
# S, zhat_1, nu_1, lam_1, dl_dzhat_1, L, G, A, z0, s0)
p, L, G, A, z0, s0, truez = [torch.DoubleTensor(x) for x in [p, L, G, A, z0, s0, truez]]
Q = torch.mm(L, L.t())+0.001*torch.eye(nz).type_as(L)
if cuda:
p, L, Q, G, A, z0, s0, truez = [x.cuda() for x in [p, L, Q, G, A, z0, s0, truez]]
p, L, G, A, z0, s0 = [Variable(x) for x in [p, L, G, A, z0, s0]]
for x in [p, L, G, A, z0, s0]: x.requires_grad = True
# Q_LU, S_LU, R = aip.pre_factor_kkt_batch(Q, G, A, nBatch)
# b = torch.mv(A, z0) if neq > 0 else None
# h = torch.mv(G, z0)+s0
# zhat_b, nu_b, lam_b = aip.forward_batch(p, Q, G, A, b, h, Q_LU, S_LU, R)
zhats = af(p, L, G, A, z0, s0)
dl_dzhat = zhats.data - truez
zhats.backward(dl_dzhat)
dp, dL, dG, dA, dz0, ds0 = [x.grad.clone() for x in [p, L, G, A, z0, s0]]
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