nu.value += max(int(-hpddm.optionVal(opt, b'geneo_nu') + 1), (-1)**rankWorld * rankWorld)
threshold = hpddm.underlying(max(0, hpddm.optionVal(opt, b'geneo_threshold')))
hpddm.schwarzSolveGEVP(A, MatNeumann, ctypes.byref(nu), threshold)
addr = hpddm.optionAddr(opt, b'geneo_nu')
addr.contents.value = nu.value
else:
nu = 1
deflation = numpy.ones((dof, nu), order = 'F', dtype = hpddm.scalar)
hpddm.setVectors(hpddm.schwarzPreconditioner(A), nu, deflation)
hpddm.initializeCoarseOperator(hpddm.schwarzPreconditioner(A), nu)
hpddm.schwarzBuildCoarseOperator(A, hpddm.MPI_Comm.from_address(MPI._addressof(MPI.COMM_WORLD)))
hpddm.schwarzCallNumfact(A)
if rankWorld != 0:
hpddm.optionRemove(opt, b'verbosity')
comm = hpddm.getCommunicator(hpddm.schwarzPreconditioner(A))
it = hpddm.solve(A, f, sol, comm)
storage = numpy.empty(2 * mu, order = 'F', dtype = hpddm.underlying)
hpddm.schwarzComputeError(A, sol, f, storage)
if rankWorld == 0:
for nu in xrange(mu):
if nu == 0:
print(' --- error = ', end = '')
else:
print(' ', end = '')
print('{:e} / {:e}'.format(storage[1 + 2 * nu], storage[2 * nu]), end = '')
if mu > 1:
print(' (rhs #{:d})'.format(nu + 1), end = '')
print('')
if it > 45:
status = 1
else:
lu = scipy.sparse.linalg.spilu(csr.tocsc(), drop_tol = hpddm.optionApp(opt, b'drop_tol'), fill_factor = hpddm.optionApp(opt, b'fill_factor'))
@hpddm.precondFunc
def precond(y, x, n, m):
if m == 1:
x._shape_ = (n,)
y._shape_ = (n,)
x = numpy.ctypeslib.as_array(x, (n,))
y = numpy.ctypeslib.as_array(y, (n,))
else:
x._shape_ = (m, n)
y._shape_ = (m, n)
x = numpy.ctypeslib.as_array(x, (m, n)).transpose()
y = numpy.ctypeslib.as_array(y, (m, n)).transpose()
x[:] = lu.solve(y[:])
it = hpddm.solve(Mat, precond, f, sol)
status = 0
nrmb = numpy.linalg.norm(f, axis = 0)
tmp = numpy.empty_like(f)
hpddm.csrmv(Mat, sol, tmp)
tmp -= f
nrmAx = numpy.linalg.norm(tmp, axis = 0)
if mu == 1:
nrmb = [ nrmb ]
nrmAx = [ nrmAx ]
for nu in xrange(mu):
if nu == 0:
print(' --- residual = ', end = '')
else:
print(' ', end = '')
if nu.value > 0:
if hpddm.optionApp(opt, b'nonuniform'):
addr.contents.value += max(int(-addr.contents.value + 1), (-1)**rankWorld * rankWorld)
hpddm.schwarzSolveGEVP(A, MatNeumann)
nu = int(hpddm.optionVal(opt, b'geneo_nu'))
else:
nu = 1
deflation = numpy.ones((dof, nu), order = 'F', dtype = hpddm.scalar)
hpddm.setVectors(hpddm.schwarzPreconditioner(A), nu, deflation)
hpddm.initializeCoarseOperator(hpddm.schwarzPreconditioner(A), nu)
hpddm.schwarzBuildCoarseOperator(A, hpddm.MPI_Comm.from_address(MPI._addressof(MPI.COMM_WORLD)))
hpddm.schwarzCallNumfact(A)
if rankWorld != 0:
hpddm.optionRemove(opt, b'verbosity')
comm = hpddm.getCommunicator(hpddm.schwarzPreconditioner(A))
it = hpddm.solve(A, f, sol, comm)
storage = numpy.empty(2 * mu, order = 'F', dtype = hpddm.underlying)
hpddm.schwarzComputeResidual(A, sol, f, storage)
if rankWorld == 0:
for nu in xrange(mu):
if nu == 0:
print(' --- residual = ', end = '')
else:
print(' ', end = '')
print('{:e} / {:e}'.format(storage[1 + 2 * nu], storage[2 * nu]), end = '')
if mu > 1:
print(' (rhs #{:d})'.format(nu + 1), end = '')
print('')
if it > (60 if int(hpddm.optionVal(opt, b'krylov_method')) == 6 else 45):
status = 1
else: