def test_init(self):
GL = qm.GaussLegendre(ndom=10, deg=6, lower=1.0, upper=12.0)
attributes = ['points', 'weights', 'f', 'alpha', 'singularity',
'initial_weights', 'description']
for att in attributes:
self.assertTrue(hasattr(GL, att),
msg=str('Missing {} attribute'.format(att)))
def test_base_gauss_weights(self):
GQ = qm.GaussLegendre(ndom=10, deg=4, lower=1.0, upper=12.0)
gwts = GQ._base_gauss_weights(deg=4, h=0.1)
mlgwts = np.array([0.017392742256873, 0.032607257743127,
0.032607257743127, 0.017392742256873]).T
self.assertEqual(gwts.size, 4, msg='Expect 4 elements')
self.assertEqual(gwts.shape, (4,), msg='Expect shape = (4,)')
self.assertTrue(np.allclose(gwts, mlgwts),
msg=str('Expect arrays to match: {} neq {}'.format(
gwts, mlgwts)))
def test_base_gauss_points(self):
GQ = qm.GaussLegendre(ndom=10, deg=4, lower=1.0, upper=12.0)
gpts = GQ._base_gauss_points(deg=4)
mlgpts = np.array([0.069431844202974, 0.330009478207572,
0.669990521792428, 0.930568155797026])
self.assertEqual(gpts.size, 4, msg='Expect 4 elements')
self.assertEqual(gpts.shape, (4,), msg='Expect shape = (4,)')
self.assertTrue(np.allclose(gpts, mlgpts),
msg=str('Expect arrays to match: {} neq {}'.format(
gpts,
mlgpts)))
def test_gauss_weights(self):
GQ = qm.GaussLegendre(ndom=10, lower=1.0, upper=12.0)
gweights = GQ._gauss_weights(ndom=4, deg=4, h=0.1)
self.assertEqual(gweights.shape, (4*4,), msg='Expect shape = (16,)')
def test_interval_gauss_points(self):
GQ = qm.GaussLegendre(ndom=10, deg=4, lower=1.0, upper=12.0)
igp = GQ._interval_gauss_points(
base_gpts=GQ._base_gauss_points(deg=4),
ndom=4, deg=4, h=0.1, lower=0.)
self.assertEqual(igp.shape, (4*4,), msg='Expect shape = (16,)')
def test_integrate(self):
GLeg = qm.GaussLegendre(ndom=10, deg=3, lower=0.0, upper=1.0)
a = GLeg.integrate(f=self.f)
self.assertTrue(isinstance(a, float), msg='Expect float')
def test_update_weights(self):
GLeg = qm.GaussLegendre(ndom=10, deg=3, lower=1.0, upper=12.0)
GLeg.weights = []
GLeg.update_weights(alpha=0.0)
self.assertTrue(isinstance(GLeg.weights, np.ndarray),
msg='Weights should be updated.')
