class Poisson1dTestCase(unittest.TestCase):
def setUp(self):
self.n = 50000
self.B = PysparseMatrix( matrix=poisson.poisson1d(self.n) )
self.x_exact = numpy.ones(self.n)/math.sqrt(self.n)
self.normx = 1.0/math.sqrt(self.n)
self.b = self.B * self.x_exact
lmbd_min = 4.0 * math.sin(math.pi/2.0/self.n) ** 2
lmbd_max = 4.0 * math.sin((self.n - 1)*math.pi/2.0/self.n) ** 2
cond = lmbd_max/lmbd_min
self.tol = cond * macheps()
self.relerr = 0.0
self.nnz = self.B.getNnz()
self.LU = None
self.fmt = '\t%8.2e %8.2e %8d %8d %8d %6.2f %6.2f\n'
def computeError(self, x):
absErr = numpy.linalg.norm(x - self.x_exact, ord=numpy.inf)
self.relerr = absErr/(1 + self.normx)
return self.relerr
def tearDown(self):
self.LU.fetch_lunz()
sys.stdout.write(self.fmt % (self.relerr, self.tol, self.nnz,
self.LU.lnz, self.LU.unz,
self.LU.factorizationTime,
self.LU.solutionTime))
def testPoisson1dDefault(self):
self.LU = PysparseUmfpackSolver(self.B)
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testPoisson1dUnsymmetric(self):
self.LU = PysparseUmfpackSolver(self.B, strategy='unsymmetric')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testPoisson1dSymmetric(self):
self.LU = PysparseUmfpackSolver(self.B, strategy='symmetric')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testPoisson1d2by2(self):
self.LU = PysparseUmfpackSolver(self.B, strategy='2by2')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testPoisson1dNoScaling(self):
self.LU = PysparseUmfpackSolver(self.B, scale='none')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testPoisson1dScaleMax(self):
self.LU = PysparseUmfpackSolver(self.B, scale='max')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
class SpDiagsTestCase(unittest.TestCase):
def setUp(self):
self.n = 10000
self.e = numpy.ones(self.n)
self.A = PysparseSpDiagsMatrix(size=self.n,
vals=(-2*self.e,self.e,2*self.e),
pos=(-1,0,1))
self.b = self.A * self.e
self.tol = 100*macheps()
self.LU = None
self.err = 0.0
self.fmt = '\t%8.2e %8.2e %8d %8d %8d %6.2f %6.2f\n'
def tearDown(self):
self.LU.fetch_lunz()
sys.stdout.write(self.fmt % (self.err, self.tol, self.A.getNnz(),
self.LU.lnz, self.LU.unz,
self.LU.factorizationTime,
self.LU.solutionTime))
def computeError(self, x):
self.err = numpy.linalg.norm(x - self.e, ord=numpy.inf)
return self.err
def testVanilla(self):
self.LU = PysparseUmfpackSolver(self.A)
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testUnsymmetric(self):
self.LU = PysparseUmfpackSolver(self.A, strategy='unsymmetric')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testSymmetric(self):
self.LU = PysparseUmfpackSolver(self.A, strategy='symmetric')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def test2by2(self):
self.LU = PysparseUmfpackSolver(self.A, strategy='2by2')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testNoScaling(self):
self.LU = PysparseUmfpackSolver(self.A, scale='none')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)
def testScaleMax(self):
self.LU = PysparseUmfpackSolver(self.A, scale='max')
self.LU.solve(self.b)
self.failUnless(self.computeError(self.LU.sol) < self.tol)