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Complex mode shape derivative is broken #461

@jorgensd

Description

@jorgensd

The following MWE, based on the post:
https://fenicsproject.discourse.group/t/shape-optimization-in-complex-dolfinx/18345/5
yields a zero-derivative for complex mode.

import ufl
from utils import LagrangeElement
import numpy as np

scalar_type=np.float64

mesh = ufl.Mesh(LagrangeElement(ufl.triangle, 1, shape=(2, )))

X = ufl.SpatialCoordinate(mesh)
W = ufl.FunctionSpace(mesh, mesh.ufl_coordinate_element())

volume = ufl.Constant(mesh)*ufl.dx
ddvol = ufl.derivative(volume, X, ufl.conj(ufl.TestFunction(W)))

complex_mode = np.issubdtype(scalar_type, np.complexfloating)

fd = ufl.algorithms.compute_form_data(ddvol, 
                                       do_apply_function_pullbacks=True,
                                        do_apply_integral_scaling=True,
                                        do_apply_geometry_lowering=True,
                                        preserve_geometry_types=(ufl.classes.Jacobian,),
                                        do_apply_restrictions=True,
                                        do_append_everywhere_integrals=False, 
                                                                                                                complex_mode=complex_mode)


print(complex_mode, str(fd.preprocessed_form))
scalar_type=np.complex64
complex_mode = np.issubdtype(scalar_type, np.complexfloating)

fd = ufl.algorithms.compute_form_data(ddvol, 
                                       do_apply_function_pullbacks=True,
                                        do_apply_integral_scaling=True,
                                        do_apply_geometry_lowering=True,
                                        preserve_geometry_types=(ufl.classes.Jacobian,),
                                        do_apply_restrictions=True,
                                        do_append_everywhere_integrals=False, 
                                                                                                                complex_mode=complex_mode)


print(complex_mode, str(fd.preprocessed_form))

output:

False { c_0 * weight * ((reference_grad(reference_value(v_0)))[0, 0] * J[1, 1] + J[0, 0] * (reference_grad(reference_value(v_0)))[1, 1] + -1 * ((reference_grad(reference_value(v_0)))[0, 1] * J[1, 0] + J[0, 1] * (reference_grad(reference_value(v_0)))[1, 0])) * (((J[0, 0] * J[1, 1] + -1 * J[0, 1] * J[1, 0]) == (0)) ? (0) : (((J[0, 0] * J[1, 1] + -1 * J[0, 1] * J[1, 0]) < (0)) ? (-1) : (1))) } * dx(<Mesh #0>[('otherwise',)], {'estimated_polynomial_degree': 1})
True <empty Form>

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