示例#1
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 def testTrivialperm3(self):
     self.descr = 'spdgs-prm3'
     self.LU = PysparseSuperLUSolver(self.A, permc_spec=3)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#2
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class Poisson1dTestCase(unittest.TestCase):

    def setUp(self):
        self.n = 50000
        self.A = PysparseMatrix(matrix=poisson.poisson1d_sym(self.n))
        
        self.x_exact = numpy.ones(self.n)/math.sqrt(self.n)
        self.normx = 1.0/math.sqrt(self.n)
        self.b = self.A * 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.LU = None
        self.relerr = 0.0
        self.descr = ''
        self.fmt = '\t%10s  %8.2e  %8.2e  %8d  %8d  %6.2f  %6.2f\n'

    def tearDown(self):
        self.LU.fetch_lunz()
        sys.stdout.write(self.fmt % (self.descr, self.relerr, self.tol,
                                     self.A.getNnz(),
                                     self.LU.lunz, self.LU.factorizationTime,
                                     self.LU.solutionTime))
        
    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 testPoisson1dDefault(self):
        self.descr = 'poi1d-dflt'
        self.LU = PysparseSuperLUSolver(self.A)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dThresh(self):
        self.descr = 'poi1d-trsh'
        self.LU = PysparseSuperLUSolver(self.A, diag_pivot_thresh=0.5)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dRelax(self):
        self.descr = 'poi1d-relx'
        self.LU = PysparseSuperLUSolver(self.A, relax=20)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dPanel(self):
        self.descr = 'poi1d-size'
        self.LU = PysparseSuperLUSolver(self.A, panel_size=1)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dperm0(self):
        self.descr = 'poi1d-prm0'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=0)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dperm1(self):
        self.descr = 'poi1d-prm1'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=1)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dperm2(self):
        self.descr = 'poi1d-prm2'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=2)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testPoisson1dperm3(self):
        self.descr = 'poi1d-prm3'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=3)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#3
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 def testPoisson2dperm3(self):
     self.descr = 'poi2d-prm3'
     self.LU = PysparseSuperLUSolver(self.A, permc_spec=3)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#4
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 def testTrivialThresh(self):
     self.descr = 'spdgs-trsh'
     self.LU = PysparseSuperLUSolver(self.A, diag_pivot_thresh=0.5)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#5
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 def testPoisson2dPanel(self):
     self.descr = 'poi2d-size'
     self.LU = PysparseSuperLUSolver(self.A, panel_size=1)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#6
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 def testPoisson2dRelax(self):
     self.descr = 'poi2d-relx'
     self.LU = PysparseSuperLUSolver(self.A, relax=20)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#7
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 def testPoisson2dThresh(self):
     self.descr = 'poi2d-trsh'
     self.LU = PysparseSuperLUSolver(self.A, diag_pivot_thresh=0.5)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#8
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 def testPoisson2dDefault(self):
     self.descr = 'poi2d-dftl'
     self.LU = PysparseSuperLUSolver(self.A)
     self.LU.solve(self.b)
     self.failUnless(self.computeError(self.LU.sol) < self.tol)
示例#9
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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.relerr = 0.0
        self.descr = ''
        self.fmt = '\t%10s  %8.2e  %8.2e  %8d  %8d  %6.2f  %6.2f\n'

    def tearDown(self):
        self.LU.fetch_lunz()
        sys.stdout.write(self.fmt % (self.descr, self.relerr, self.tol,
                                     self.A.getNnz(),
                                     self.LU.lunz, self.LU.factorizationTime,
                                     self.LU.solutionTime))
        
    def computeError(self, x):
        self.relerr = numpy.linalg.norm(x - self.e, ord=numpy.inf)
        return self.relerr

    #def testVanilla(self):
    #    self.descr = 'spdgs-dflt'
    #    self.LU = PysparseSuperLUSolver(self.A)
    #    self.LU.solve(self.b)
    #    self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testTrivialThresh(self):
        self.descr = 'spdgs-trsh'
        self.LU = PysparseSuperLUSolver(self.A, diag_pivot_thresh=0.5)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    #def testTrivialRelax(self):
    #    self.descr = 'spdgs-relx'
    #    self.LU = PysparseSuperLUSolver(self.A, relax=20)
    #    self.LU.solve(self.b)
    #    self.failUnless(self.computeError(self.LU.sol) < self.tol)

    #def testTrivialPanel(self):
    #    self.descr = 'spdgs-size'
    #    self.LU = PysparseSuperLUSolver(self.A, panel_size=1)
    #    self.LU.solve(self.b)
    #    self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testTrivialperm0(self):
        self.descr = 'spdgs-prm0'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=0)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testTrivialperm1(self):
        self.descr = 'spdgs-prm1'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=1)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)

    #def testTrivialperm2(self):
    #    self.descr = 'spdgs-prm2'
    #    self.LU = PysparseSuperLUSolver(self.A, permc_spec=2)
    #    self.LU.solve(self.b)
    #    self.failUnless(self.computeError(self.LU.sol) < self.tol)

    def testTrivialperm3(self):
        self.descr = 'spdgs-prm3'
        self.LU = PysparseSuperLUSolver(self.A, permc_spec=3)
        self.LU.solve(self.b)
        self.failUnless(self.computeError(self.LU.sol) < self.tol)