def test_operator_pointwise_product():
"""Check call and adjoint of operator pointwise multiplication."""
if dom_eq_ran:
mat1 = np.random.rand(3, 3)
mat2 = np.random.rand(3, 3)
else:
mat1 = np.random.rand(4, 3)
mat2 = np.random.rand(4, 3)
op1 = MultiplyAndSquareOp(mat1)
op2 = MultiplyAndSquareOp(mat2)
x = noise_element(op1.domain)
prod_op = odl.OperatorPointwiseProduct(op1, op2)
# Evaluate
expected = op1(x) * op2(x)
check_call(prod_op, x, expected)
# Derivative
y = noise_element(op1.domain)
expected = (op1.derivative(x)(y) * op2(x) + op2.derivative(x)(y) * op1(x))
prod_deriv_op = prod_op.derivative(x)
assert prod_deriv_op.is_linear
check_call(prod_deriv_op, y, expected)
# Derivative Adjoint
z = noise_element(op1.range)
expected = (op1.derivative(x).adjoint(z * op2(x)) +
op2.derivative(x).adjoint(z * op1(x)))
prod_deriv_adj_op = prod_deriv_op.adjoint
assert prod_deriv_adj_op.is_linear
check_call(prod_deriv_adj_op, z, expected)
def test_operator_pointwise_product():
"""Test OperatorPointwiseProduct."""
Aop = MultiplyAndSquareOp(np.random.rand(4, 3))
Bop = MultiplyAndSquareOp(np.random.rand(4, 3))
x = noise_element(Aop.domain)
prod = odl.OperatorPointwiseProduct(Aop, Bop)
# Evaluate
expected = Aop(x) * Bop(x)
check_call(prod, x, expected)
# Derivative
y = noise_element(Aop.domain)
expected = (Aop.derivative(x)(y) * Bop(x) + Bop.derivative(x)(y) * Aop(x))
derivative = prod.derivative(x)
assert derivative.is_linear
check_call(derivative, y, expected)
# Adjoint
z = noise_element(Aop.range)
expected = (Aop.derivative(x).adjoint(z * Bop(x)) +
Bop.derivative(x).adjoint(z * Aop(x)))
adjoint = derivative.adjoint
assert adjoint.is_linear
check_call(adjoint, z, expected)