def test_selection_op():
p1 = MonomOperator(1)
select_rhs_functional = GenericParameterFunctional(
lambda x: round(float(x["nrrhs"])), ParameterType({"nrrhs": ()}))
s1 = SelectionOperator(operators=[p1],
boundaries=[],
parameter_functional=select_rhs_functional,
name="foo")
x = np.linspace(-1., 1., num=3)
vx = p1.source.make_array(x[:, np.newaxis])
assert np.allclose(
p1.apply(vx, mu=0).to_numpy(),
s1.apply(vx, mu=0).to_numpy())
s2 = SelectionOperator(operators=[p1, p1, p1, p1],
boundaries=[-3, 3, 7],
parameter_functional=select_rhs_functional,
name="Bar")
assert s2._get_operator_number({"nrrhs": -4}) == 0
assert s2._get_operator_number({"nrrhs": -3}) == 0
assert s2._get_operator_number({"nrrhs": -2}) == 1
assert s2._get_operator_number({"nrrhs": 3}) == 1
assert s2._get_operator_number({"nrrhs": 4}) == 2
assert s2._get_operator_number({"nrrhs": 7}) == 2
assert s2._get_operator_number({"nrrhs": 9}) == 3
def test_selection_op():
p1 = MonomOperator(1)
select_rhs_functional = GenericParameterFunctional(
lambda x: round(float(x["nrrhs"])),
ParameterType({"nrrhs" : tuple()})
)
s1 = SelectionOperator(
operators = [p1],
boundaries = [],
parameter_functional = select_rhs_functional,
name = "foo"
)
x = np.linspace(-1., 1., num=3)
vx = NumpyVectorArray(x[:, np.newaxis])
assert np.allclose(p1.apply(vx,mu=0).data, s1.apply(vx,mu=0).data)
s2 = SelectionOperator(
operators = [p1,p1,p1,p1],
boundaries = [-3, 3, 7],
parameter_functional = select_rhs_functional,
name = "Bar"
)
assert s2._get_operator_number({"nrrhs":-4}) == 0
assert s2._get_operator_number({"nrrhs":-3}) == 0
assert s2._get_operator_number({"nrrhs":-2}) == 1
assert s2._get_operator_number({"nrrhs":3}) == 1
assert s2._get_operator_number({"nrrhs":4}) == 2
assert s2._get_operator_number({"nrrhs":7}) == 2
assert s2._get_operator_number({"nrrhs":9}) == 3
def misc_operator_with_arrays_and_products_factory(n):
if n == 0:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
100, 10, 4, 3, n)
op = ComponentProjection(np.random.randint(0, 100, 10), U.space)
return op, _, U, V, sp, rp
elif n == 1:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
100, 0, 4, 3, n)
op = ComponentProjection([], U.space)
return op, _, U, V, sp, rp
elif n == 2:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
100, 3, 4, 3, n)
op = ComponentProjection([3, 3, 3], U.space)
return op, _, U, V, sp, rp
elif n == 3:
from pymor.operators.constructions import AdjointOperator
op, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
100, 20, 4, 3, n)
op = AdjointOperator(op, with_apply_inverse=True)
return op, _, V, U, rp, sp
elif n == 4:
from pymor.operators.constructions import AdjointOperator
op, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
100, 20, 4, 3, n)
op = AdjointOperator(op, with_apply_inverse=False)
return op, _, V, U, rp, sp
elif 5 <= n <= 7:
from pymor.operators.constructions import SelectionOperator
from pymor.parameters.functionals import ProjectionParameterFunctional
op0, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(
30, 30, 4, 3, n)
op1 = NumpyMatrixOperator(np.random.random((30, 30)))
op2 = NumpyMatrixOperator(np.random.random((30, 30)))
op = SelectionOperator([op0, op1, op2],
ProjectionParameterFunctional('x'), [0.3, 0.6])
return op, op.parameters.parse((n - 5) / 2), V, U, rp, sp
elif n == 8:
from pymor.operators.block import BlockDiagonalOperator
op0, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(
20, 20, 4, 3, n + 1)
op2, _, U2, V2, sp2, rp2 = numpy_matrix_operator_with_arrays_and_products_factory(
30, 30, 4, 3, n + 2)
op = BlockDiagonalOperator([op0, op1, op2])
sp = BlockDiagonalOperator([sp0, sp1, sp2])
rp = BlockDiagonalOperator([rp0, rp1, rp2])
U = op.source.make_array([U0, U1, U2])
V = op.range.make_array([V0, V1, V2])
return op, _, U, V, sp, rp
elif n == 9:
from pymor.operators.block import BlockDiagonalOperator, BlockOperator
from pymor.parameters.functionals import ProjectionParameterFunctional
op0a, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op0b, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op0c, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(
20, 20, 4, 3, n + 1)
op2a, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op2b, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op0 = (op0a * ProjectionParameterFunctional('p', 3, 0) +
op0b * ProjectionParameterFunctional('p', 3, 1) +
op0c * ProjectionParameterFunctional('p', 3, 1))
op2 = (op2a * ProjectionParameterFunctional('p', 3, 0) +
op2b * ProjectionParameterFunctional('q', 1))
op = BlockOperator([[op0, op2], [None, op1]])
mu = op.parameters.parse({'p': [1, 2, 3], 'q': 4})
sp = BlockDiagonalOperator([sp0, sp1])
rp = BlockDiagonalOperator([rp0, rp1])
U = op.source.make_array([U0, U1])
V = op.range.make_array([V0, V1])
return op, mu, U, V, sp, rp
elif n == 10:
from pymor.operators.block import BlockDiagonalOperator, BlockColumnOperator
from pymor.parameters.functionals import ProjectionParameterFunctional
op0, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(
20, 20, 4, 3, n + 1)
op2a, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op2b, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op2 = (op2a * ProjectionParameterFunctional('p', 3, 0) +
op2b * ProjectionParameterFunctional('q', 1))
op = BlockColumnOperator([op2, op1])
mu = op.parameters.parse({'p': [1, 2, 3], 'q': 4})
sp = sp1
rp = BlockDiagonalOperator([rp0, rp1])
U = U1
V = op.range.make_array([V0, V1])
return op, mu, U, V, sp, rp
elif n == 11:
from pymor.operators.block import BlockDiagonalOperator, BlockRowOperator
from pymor.parameters.functionals import ProjectionParameterFunctional
op0, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(
10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(
20, 20, 4, 3, n + 1)
op2a, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op2b, _, _, _, _, _ = numpy_matrix_operator_with_arrays_and_products_factory(
20, 10, 4, 3, n + 2)
op2 = (op2a * ProjectionParameterFunctional('p', 3, 0) +
op2b * ProjectionParameterFunctional('q', 1))
op = BlockRowOperator([op0, op2])
mu = op.parameters.parse({'p': [1, 2, 3], 'q': 4})
sp = BlockDiagonalOperator([sp0, sp1])
rp = rp0
U = op.source.make_array([U0, U1])
V = V0
return op, mu, U, V, sp, rp
else:
assert False
def misc_operator_with_arrays_and_products_factory(n):
if n == 0:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(100, 10, 4, 3, n)
op = ComponentProjection(np.random.randint(0, 100, 10), U.space)
return op, _, U, V, sp, rp
elif n == 1:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(100, 0, 4, 3, n)
op = ComponentProjection([], U.space)
return op, _, U, V, sp, rp
elif n == 2:
from pymor.operators.constructions import ComponentProjection
_, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(100, 3, 4, 3, n)
op = ComponentProjection([3, 3, 3], U.space)
return op, _, U, V, sp, rp
elif n == 3:
from pymor.operators.constructions import AdjointOperator
op, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(100, 20, 4, 3, n)
op = AdjointOperator(op, with_apply_inverse=True)
return op, _, V, U, rp, sp
elif n == 4:
from pymor.operators.constructions import AdjointOperator
op, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(100, 20, 4, 3, n)
op = AdjointOperator(op, with_apply_inverse=False)
return op, _, V, U, rp, sp
elif 5 <= n <= 7:
from pymor.operators.constructions import SelectionOperator
from pymor.parameters.functionals import ProjectionParameterFunctional
op0, _, U, V, sp, rp = numpy_matrix_operator_with_arrays_and_products_factory(30, 30, 4, 3, n)
op1 = NumpyMatrixOperator(np.random.random((30, 30)))
op2 = NumpyMatrixOperator(np.random.random((30, 30)))
op = SelectionOperator([op0, op1, op2], ProjectionParameterFunctional('x', ()), [0.3, 0.6])
return op, op.parse_parameter((n-5)/2), V, U, rp, sp
elif n == 8:
from pymor.operators.block import BlockDiagonalOperator
from pymor.vectorarrays.block import BlockVectorArray
op0, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(20, 20, 4, 3, n+1)
op2, _, U2, V2, sp2, rp2 = numpy_matrix_operator_with_arrays_and_products_factory(30, 30, 4, 3, n+2)
op = BlockDiagonalOperator([op0, op1, op2])
sp = BlockDiagonalOperator([sp0, sp1, sp2])
rp = BlockDiagonalOperator([rp0, rp1, rp2])
U = BlockVectorArray([U0, U1, U2])
V = BlockVectorArray([V0, V1, V2])
return op, _, U, V, sp, rp
elif n == 9:
from pymor.operators.block import BlockDiagonalOperator, BlockOperator
from pymor.vectorarrays.block import BlockVectorArray
op0, _, U0, V0, sp0, rp0 = numpy_matrix_operator_with_arrays_and_products_factory(10, 10, 4, 3, n)
op1, _, U1, V1, sp1, rp1 = numpy_matrix_operator_with_arrays_and_products_factory(20, 20, 4, 3, n+1)
op2, _, U2, V2, sp2, rp2 = numpy_matrix_operator_with_arrays_and_products_factory(20, 10, 4, 3, n+2)
op = BlockOperator([[op0, op2],
[None, op1]])
sp = BlockDiagonalOperator([sp0, sp1])
rp = BlockDiagonalOperator([rp0, rp1])
U = BlockVectorArray([U0, U1])
V = BlockVectorArray([V0, V1])
return op, None, U, V, sp, rp
else:
assert False