/// @file /// Test assembly of mass and Poisson operator QFunction /// \test Test assembly of mass and Poisson operator QFunction #include "t532-operator.h" #include #include #include #include int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff, elem_restriction_assembled; CeedBasis basis_x, basis_u; CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_assembled; CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_assembled; CeedVector q_data_mass, q_data_diff, x, assembled, u, v; CeedInt num_elem = 6, p = 3, q = 4, dim = 2; CeedInt nx = 3, ny = 2; CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * q * q; CeedInt ind_x[num_elem * p * p]; CeedInit(argv[1], &ceed); // Vectors CeedVectorCreate(ceed, dim * num_dofs, &x); { CeedScalar x_array[dim * num_dofs]; for (CeedInt i = 0; i < nx * 2 + 1; i++) { for (CeedInt j = 0; j < ny * 2 + 1; j++) { x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); } } CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); } CeedVectorCreate(ceed, num_dofs, &u); CeedVectorCreate(ceed, num_dofs, &v); CeedVectorCreate(ceed, num_qpts, &q_data_mass); CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); // Restrictions for (CeedInt i = 0; i < num_elem; i++) { CeedInt col, row, offset; col = i % nx; row = i / nx; offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1); for (CeedInt j = 0; j < p; j++) { for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j; } } CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, &elem_restriction_q_data_diff); // Bases CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); // QFunction - setup mass CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); // Operator - setup mass CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); // QFunction - setup diff CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); // Operator - setup diff CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); // Apply Setup Operators CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); // QFunction - apply CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); // Operator - apply CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass); CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff); CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); // Apply original operator CeedVectorSetValue(u, 1.0); CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); // Check output { const CeedScalar *v_array; CeedScalar area = 0.0; CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i]; CeedVectorRestoreArrayRead(v, &v_array); if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: True operator computed area = %f != 1.0\n", area); } // Assemble QFunction CeedOperatorSetQFunctionAssemblyReuse(op_apply, true); CeedOperatorLinearAssembleQFunction(op_apply, &assembled, &elem_restriction_assembled, CEED_REQUEST_IMMEDIATE); // QFunction - apply assembled CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_assembled); CeedQFunctionAddInput(qf_apply_assembled, "du", dim, CEED_EVAL_GRAD); CeedQFunctionAddInput(qf_apply_assembled, "q data", (dim + 1) * (dim + 1), CEED_EVAL_NONE); CeedQFunctionAddInput(qf_apply_assembled, "u", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply_assembled, "v", 1, CEED_EVAL_INTERP); CeedQFunctionAddOutput(qf_apply_assembled, "dv", dim, CEED_EVAL_GRAD); // Operator - apply assembled CeedOperatorCreate(ceed, qf_apply_assembled, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply_assembled); CeedOperatorSetField(op_apply_assembled, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply_assembled, "q data", elem_restriction_assembled, CEED_BASIS_NONE, assembled); CeedOperatorSetField(op_apply_assembled, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply_assembled, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_apply_assembled, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); // Apply assembled QFunction operator CeedVectorSetValue(v, 0.0); CeedOperatorApply(op_apply_assembled, u, v, CEED_REQUEST_IMMEDIATE); // Check output { const CeedScalar *v_array; CeedScalar area = 0.0; CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i]; CeedVectorRestoreArrayRead(v, &v_array); if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: Assembled operator computed area = %f != 1.0\n", area); } // Cleanup CeedVectorDestroy(&x); CeedVectorDestroy(&assembled); CeedVectorDestroy(&q_data_mass); CeedVectorDestroy(&q_data_diff); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedElemRestrictionDestroy(&elem_restriction_u); CeedElemRestrictionDestroy(&elem_restriction_x); CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); CeedElemRestrictionDestroy(&elem_restriction_assembled); CeedBasisDestroy(&basis_u); CeedBasisDestroy(&basis_x); CeedQFunctionDestroy(&qf_setup_mass); CeedQFunctionDestroy(&qf_setup_diff); CeedQFunctionDestroy(&qf_apply); CeedQFunctionDestroy(&qf_apply_assembled); CeedOperatorDestroy(&op_setup_mass); CeedOperatorDestroy(&op_setup_diff); CeedOperatorDestroy(&op_apply); CeedOperatorDestroy(&op_apply_assembled); CeedDestroy(&ceed); return 0; }