def search():
k = 2
g = pcb.FourierHankel([-1,-1], [0], k)
bdytag = "BDY"
bnddata={bdytag:pcbd.dirichlet(g)}
bounds=np.array([[0,1],[0,1]],dtype='d')
npoints=np.array([200,200])
gmresits = []
params = []
conds = []
n = 6
meshinfo = tum.regularsquaremeshinfo(n, bdytag)
topology = pmm.Topology(meshinfo)
partition = pmm.BespokePartition(meshinfo, topology, lambda n: np.arange(meshinfo.nelements).reshape(n, -1))
mesh = pmm.MeshView(meshinfo, topology, partition)
mesh = pmo.overlappingPartitions(mesh)
problem = psp.Problem(mesh,k,bnddata)
npw = 7
basisrule = pcb.planeWaveBases(2,k,npw)
basisrule = pcbr.ReferenceBasisRule(pcbr.Dubiner(0))
nquad = 4
# mesh = pmo.overlappingPartitions(pmo.overlappingPartitions(mesh))
# problem = psp.Problem(mesh, k, bnddata)
dovolumes = True
compinfo = psc.ComputationInfo(problem, basisrule, nquad)
computation = psc.Computation(compinfo, pcp.HelmholtzSystem)
sold = computation.solution(psc.DirectOperator(), psc.DirectSolver(), dovolumes=dovolumes)
pom.output2dsoln(bounds, sold, npoints, show = False)
for x in np.arange(-10,10,2):#, 1E-6, 1]:# 1j, -0.1, -0.1j]:
for y in np.arange(-10,10,2):
q = x + 1j * y
perturbation = GeneralRobinPerturbation(compinfo, q)
op = psd.GeneralSchwarzOperator(PerturbedSchwarzWorker(perturbation, mesh))
callback = psi.ItCounter(100)
solver = psi.GMRESSolver('ctor', callback)
sol = computation.solution(op, solver, dovolumes=dovolumes)
nn = len(op.rhs())
M = np.hstack([op.multiply(xx).reshape(-1,1) for xx in np.eye(nn)])
conds.append(np.linalg.cond(M))
params.append(q)
gmresits.append(solver.callback.n)
print conds
print params
print gmresits
# npoints=np.array([200,200])
# with puf.pushd('../../examples/2D'):
# mesh = pmm.gmshMesh('squarescatt.msh',dim=2)
# goes wrong for n=7 with npw = 6 & 7.
npw = 5
basisrule = pcb.planeWaveBases(2,k,npw)
dovolumes=False
# basisrule = pcbr.ReferenceBasisRule(pcbr.Dubiner(0))
# dovolumes = True
nquad = 7
# mesh = pmo.overlappingPartitions(pmo.overlappingPartitions(mesh))
mesh = pmo.overlappingPartitions(mesh)
problem = psp.Problem(mesh, k, bnddata)
compinfo = psc.ComputationInfo(problem, basisrule, nquad)
computation = psc.Computation(compinfo, pcp.HelmholtzSystem)
sold = computation.solution(psc.DirectOperator(), psc.DirectSolver(), dovolumes=dovolumes)
print "direct solution", sold.x
pom.output2dsoln(bounds, sold, npoints, show = False)
for p in [1]:#, 1, 1j, -0.1, -0.1j]:
perturbation = GeneralRobinPerturbation(compinfo, p)
w = PerturbedSchwarzWorker(perturbation, mesh)
op = psd.GeneralSchwarzOperator(w)
# op = psd.SchwarzOperator(mesh)