import sys, slepc4py
slepc4py.init(sys.argv)

from petsc4py import PETSc
from slepc4py import SLEPc
import numpy

opts = PETSc.Options()
n = opts.getInt('n', 30)

A = PETSc.Mat(); A.create()
A.setSizes([n, n])
A.setFromOptions()
A.setUp()

rstart, rend = A.getOwnershipRange()

# first row
if rstart == 0:
  A[0, :2] = [2, -1]
  rstart += 1
# last row
if rend == n:
  A[n-1, -2:] = [-1, 2]
  rend -= 1
# other rows
for i in range(rstart, rend):
  A[i, i-1:i+2] = [-1, 2, -1]

A.assemble()

E = SLEPc.EPS(); E.create()

E.setOperators(A)
E.setProblemType(SLEPc.EPS.ProblemType.HEP)

history = []
def monitor(eps, its, nconv, eig, err):
    history.append(err[nconv])
    #print(its, rnorm)
E.setMonitor(monitor)

E.setFromOptions()
E.solve()

Print = PETSc.Sys.Print

Print()
Print("******************************")
Print("*** SLEPc Solution Results ***")
Print("******************************")
Print()

its = E.getIterationNumber()
Print( "Number of iterations of the method: %d" % its )

eps_type = E.getType()
Print( "Solution method: %s" % eps_type )

nev, ncv, mpd = E.getDimensions()
Print( "Number of requested eigenvalues: %d" % nev )

tol, maxit = E.getTolerances()
Print( "Stopping condition: tol=%.4g, maxit=%d" % (tol, maxit) )

nconv = E.getConverged()
Print( "Number of converged eigenpairs %d" % nconv )

if nconv > 0:
  # Create the results vectors
  vr, vi = A.createVecs()
  #
  Print()
  Print("        k          ||Ax-kx||/||kx|| ")
  Print("----------------- ------------------")
  for i in range(nconv):
    k = E.getEigenpair(i, vr, vi)
    error = E.computeError(i)
    if k.imag != 0.0:
      Print( " %9f%+9f j %12g" % (k.real, k.imag, error) )
    else:
      Print( " %12f       %12g" % (k.real, error) )
  Print()
