def test_project_tensors(self):
from sfepy.discrete import FieldVariable
from sfepy.discrete.projections import project_by_component
ok = True
u = FieldVariable('u',
'parameter',
self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
component = FieldVariable('component',
'parameter',
self.field,
primary_var_name='(set-to-None)')
nls_options = {'eps_a': 1e-16, 'i_max': 1}
u_qp = u.evaluate()
u2 = FieldVariable('u2',
'parameter',
self.field,
primary_var_name='(set-to-None)')
project_by_component(u2,
u_qp,
component,
self.field.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(u(), u2())
ok = ok and _ok
gu_qp = u.evaluate(mode='grad')
gfield = Field.from_args('gu',
nm.float64,
2,
self.field.region,
approx_order=self.field.approx_order)
gu = FieldVariable('gu',
'parameter',
gfield,
primary_var_name='(set-to-None)')
project_by_component(gu,
gu_qp,
component,
gfield.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(gu(), nm.zeros_like(gu()))
ok = ok and _ok
return ok
def test_project_tensors(self):
from sfepy.discrete import FieldVariable
from sfepy.discrete.projections import project_by_component
ok = True
u = FieldVariable('u', 'parameter', self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
component = FieldVariable('component', 'parameter', self.field,
primary_var_name='(set-to-None)')
nls_options = {'eps_a' : 1e-16, 'i_max' : 1}
u_qp = u.evaluate()
u2 = FieldVariable('u2', 'parameter', self.field,
primary_var_name='(set-to-None)')
project_by_component(u2, u_qp, component, self.field.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(u(), u2())
ok = ok and _ok
gu_qp = u.evaluate(mode='grad')
gfield = Field.from_args('gu', nm.float64, 2, self.field.region,
approx_order=self.field.approx_order)
gu = FieldVariable('gu', 'parameter', gfield,
primary_var_name='(set-to-None)')
project_by_component(gu, gu_qp, component, gfield.approx_order,
nls_options=nls_options)
_ok = self.compare_vectors(gu(), nm.zeros_like(gu()))
ok = ok and _ok
return ok
def test_variables(self):
from sfepy.discrete import FieldVariable, Integral
ok = True
u = FieldVariable('u',
'parameter',
self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
vec = u() # Nodal values.
_ok = nm.allclose(vec, 1.0)
self.report('set constant:', _ok)
ok = _ok and ok
def fun(coors):
val = nm.empty_like(coors)
val[:, 0] = 2 * coors[:, 1] - coors[:, 0]
val[:, 1] = coors[:, 0] + 3 * coors[:, 1]
return val
u.set_from_function(fun)
coors = u.field.get_coor()
eu = u.evaluate_at(coors)
_ok = nm.allclose(eu, fun(coors), rtol=0.0, atol=1e-13)
self.report('set from function:', _ok)
ok = _ok and ok
integral = Integral('i', order=2)
gu_qp = u.evaluate(mode='grad', integral=integral)
# du_i/dx_j, i = column, j = row.
gu = nm.array([[-1., 1.], [2., 3.]])
_ok = nm.allclose(gu_qp, gu[None, None, ...], rtol=0.0, atol=1e-13)
self.report('set from function - gradient:', _ok)
ok = _ok and ok
u_qp = gu_qp[..., :, :1]
u.set_from_qp(u_qp, integral)
vu = u()
_ok = (nm.allclose(vu[::2], -1, rtol=0.0, atol=1e-13)
and nm.allclose(vu[1::2], 2, rtol=0.0, atol=1e-13))
self.report('set from qp:', _ok)
ok = _ok and ok
return ok
def test_variables(self):
from sfepy.discrete import FieldVariable, Integral
ok = True
u = FieldVariable('u', 'parameter', self.field,
primary_var_name='(set-to-None)')
u.set_constant(1.0)
vec = u() # Nodal values.
_ok = nm.allclose(vec, 1.0)
self.report('set constant:', _ok)
ok = _ok and ok
def fun(coors):
val = nm.empty_like(coors)
val[:, 0] = 2 * coors[:, 1] - coors[:, 0]
val[:, 1] = coors[:, 0] + 3 * coors[:, 1]
return val
u.set_from_function(fun)
coors = u.field.get_coor()
eu = u.evaluate_at(coors)
_ok = nm.allclose(eu, fun(coors), rtol=0.0, atol=1e-13)
self.report('set from function:', _ok)
ok = _ok and ok
integral = Integral('i', order=2)
gu_qp = u.evaluate(mode='grad', integral=integral)
# du_i/dx_j, i = column, j = row.
gu = nm.array([[-1., 1.],
[ 2., 3.]])
_ok = nm.allclose(gu_qp, gu[None, None, ...], rtol=0.0, atol=1e-13)
self.report('set from function - gradient:', _ok)
ok = _ok and ok
u_qp = gu_qp[..., :, :1]
u.set_from_qp(u_qp, integral)
vu = u()
_ok = (nm.allclose(vu[::2], -1, rtol=0.0, atol=1e-13) and
nm.allclose(vu[1::2], 2, rtol=0.0, atol=1e-13))
self.report('set from qp:', _ok)
ok = _ok and ok
return ok