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Documentation for v0.1 version (#199)

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* Adding Equations, solving typos
* improve _code.rst
* the team rst and restuctore index.rst
* fixing errors

---------

Co-authored-by: Dario Coscia <dariocoscia@dhcp-015.eduroam.sissa.it>
This commit is contained in:
Dario Coscia
2023-11-08 14:39:00 +01:00
committed by Nicola Demo
parent 3f9305d475
commit 8b7b61b3bd
144 changed files with 2741 additions and 1766 deletions
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71
tests/test_problem.py
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@@ -10,45 +10,59 @@ from pina.equation.equation_factory import FixedValue
def laplace_equation(input_, output_):
force_term = (torch.sin(input_.extract(['x'])*torch.pi) *
torch.sin(input_.extract(['y'])*torch.pi))
force_term = (torch.sin(input_.extract(['x']) * torch.pi) *
torch.sin(input_.extract(['y']) * torch.pi))
delta_u = laplacian(output_.extract(['u']), input_)
return delta_u - force_term
my_laplace = Equation(laplace_equation)
in_ = LabelTensor(torch.tensor([[0., 1.]], requires_grad=True), ['x', 'y'])
out_ = LabelTensor(torch.tensor([[0.]], requires_grad=True), ['u'])
class Poisson(SpatialProblem):
output_variables = ['u']
spatial_domain = CartesianDomain({'x': [0, 1], 'y': [0, 1]})
conditions = {
'gamma1': Condition(
location=CartesianDomain({'x': [0, 1], 'y': 1}),
equation=FixedValue(0.0)),
'gamma2': Condition(
location=CartesianDomain({'x': [0, 1], 'y': 0}),
equation=FixedValue(0.0)),
'gamma3': Condition(
location=CartesianDomain({'x': 1, 'y': [0, 1]}),
equation=FixedValue(0.0)),
'gamma4': Condition(
location=CartesianDomain({'x': 0, 'y': [0, 1]}),
equation=FixedValue(0.0)),
'D': Condition(
location=CartesianDomain({'x': [0, 1], 'y': [0, 1]}),
equation=my_laplace),
'data': Condition(
input_points=in_,
output_points=out_)
'gamma1':
Condition(location=CartesianDomain({
'x': [0, 1],
'y': 1
}),
equation=FixedValue(0.0)),
'gamma2':
Condition(location=CartesianDomain({
'x': [0, 1],
'y': 0
}),
equation=FixedValue(0.0)),
'gamma3':
Condition(location=CartesianDomain({
'x': 1,
'y': [0, 1]
}),
equation=FixedValue(0.0)),
'gamma4':
Condition(location=CartesianDomain({
'x': 0,
'y': [0, 1]
}),
equation=FixedValue(0.0)),
'D':
Condition(location=CartesianDomain({
'x': [0, 1],
'y': [0, 1]
}),
equation=my_laplace),
'data':
Condition(input_points=in_, output_points=out_)
}
def poisson_sol(self, pts):
return -(
torch.sin(pts.extract(['x'])*torch.pi) *
torch.sin(pts.extract(['y'])*torch.pi)
)/(2*torch.pi**2)
return -(torch.sin(pts.extract(['x']) * torch.pi) *
torch.sin(pts.extract(['y']) * torch.pi)) / (2 * torch.pi**2)
truth_solution = poisson_sol
@@ -78,11 +92,16 @@ def test_discretise_domain():
poisson_problem.discretise_domain(n, 'lh', locations=['D'])
assert poisson_problem.input_pts['D'].shape[0] == n
def test_sampling_few_variables():
n = 10
poisson_problem.discretise_domain(n, 'grid', locations=['D'], variables=['x'])
poisson_problem.discretise_domain(n,
'grid',
locations=['D'],
variables=['x'])
assert poisson_problem.input_pts['D'].shape[1] == 1
assert poisson_problem._have_sampled_points['D'] is False
assert poisson_problem._have_sampled_points['D'] is False
# def test_sampling_all_args():
# n = 10