/// @file /// Test full assembly of a non-square mass matrix operator (see t553) /// \test Test full assembly of a non-square mass matrix operator #include #include #include #include int main(int argc, char **argv) { Ceed ceed; CeedElemRestriction elem_restriction_x, elem_restriction_q_data, elem_restriction_u_coarse, elem_restriction_u_fine; CeedBasis basis_x, basis_u_coarse, basis_u_fine; CeedQFunction qf_setup, qf_mass; CeedOperator op_setup, op_mass; CeedVector q_data, x, u, v; CeedInt num_elem = 15, p_coarse = 3, p_fine = 5, q = 8; CeedInt num_dofs_x = num_elem + 1, num_dofs_u_coarse = num_elem * (p_coarse - 1) + 1, num_dofs_u_fine = num_elem * (p_fine - 1) + 1; CeedInt ind_u_coarse[num_elem * p_coarse], ind_u_fine[num_elem * p_fine], ind_x[num_elem * 2]; CeedScalar assembled_values[num_dofs_u_coarse * num_dofs_u_fine]; CeedScalar assembled_true[num_dofs_u_coarse * num_dofs_u_fine]; CeedInit(argv[1], &ceed); CeedVectorCreate(ceed, num_dofs_x, &x); { CeedScalar x_array[num_dofs_x]; for (CeedInt i = 0; i < num_dofs_x; i++) x_array[i] = (CeedScalar)i / (num_dofs_x - 1); CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); } CeedVectorCreate(ceed, num_dofs_u_coarse, &u); CeedVectorCreate(ceed, num_dofs_u_fine, &v); CeedVectorCreate(ceed, num_elem * q, &q_data); // Restrictions for (CeedInt i = 0; i < num_elem; i++) { ind_x[2 * i + 0] = i; ind_x[2 * i + 1] = i + 1; } CeedElemRestrictionCreate(ceed, num_elem, 2, 1, 1, num_dofs_x, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); for (CeedInt i = 0; i < num_elem; i++) { for (CeedInt j = 0; j < p_coarse; j++) { ind_u_coarse[p_coarse * i + j] = i * (p_coarse - 1) + j; } } CeedElemRestrictionCreate(ceed, num_elem, p_coarse, 1, 1, num_dofs_u_coarse, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_coarse, &elem_restriction_u_coarse); for (CeedInt i = 0; i < num_elem; i++) { for (CeedInt j = 0; j < p_fine; j++) { ind_u_fine[p_fine * i + j] = i * (p_fine - 1) + j; } } CeedElemRestrictionCreate(ceed, num_elem, p_fine, 1, 1, num_dofs_u_fine, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_fine, &elem_restriction_u_fine); CeedInt strides_q_data[3] = {1, q, q}; CeedElemRestrictionCreateStrided(ceed, num_elem, q, 1, q * num_elem, strides_q_data, &elem_restriction_q_data); // Bases CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, q, CEED_GAUSS, &basis_x); CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p_coarse, q, CEED_GAUSS, &basis_u_coarse); CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p_fine, q, CEED_GAUSS, &basis_u_fine); // QFunctions CeedQFunctionCreateInteriorByName(ceed, "Mass1DBuild", &qf_setup); CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); // Operators CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); CeedOperatorSetField(op_setup, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_setup, "qdata", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data, CEED_BASIS_NONE, q_data); CeedOperatorSetField(op_mass, "u", elem_restriction_u_coarse, basis_u_coarse, CEED_VECTOR_ACTIVE); CeedOperatorSetField(op_mass, "v", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE); CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); // Fully assemble operator CeedSize num_entries; CeedInt *rows; CeedInt *cols; CeedVector assembled; for (CeedInt k = 0; k < num_dofs_u_coarse * num_dofs_u_fine; ++k) { assembled_values[k] = 0.0; assembled_true[k] = 0.0; } CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols); CeedVectorCreate(ceed, num_entries, &assembled); CeedOperatorLinearAssemble(op_mass, assembled); { const CeedScalar *assembled_array; CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); for (CeedInt k = 0; k < num_entries; ++k) { assembled_values[rows[k] * num_dofs_u_coarse + cols[k]] += assembled_array[k]; } CeedVectorRestoreArrayRead(assembled, &assembled_array); } // Manually assemble operator CeedVectorSetValue(u, 0.0); for (CeedInt j = 0; j < num_dofs_u_coarse; j++) { CeedScalar *u_array; const CeedScalar *v_array; // Set input CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); u_array[j] = 1.0; if (j) u_array[j - 1] = 0.0; CeedVectorRestoreArray(u, &u_array); // Compute entries for column j CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); for (CeedInt i = 0; i < num_dofs_u_fine; i++) assembled_true[i * num_dofs_u_coarse + j] = v_array[i]; CeedVectorRestoreArrayRead(v, &v_array); } // Check output for (CeedInt i = 0; i < num_dofs_u_fine; i++) { for (CeedInt j = 0; j < num_dofs_u_coarse; j++) { if (fabs(assembled_values[i * num_dofs_u_coarse + j] - assembled_true[i * num_dofs_u_coarse + j]) > 100. * CEED_EPSILON) { // LCOV_EXCL_START printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs_u_coarse + j], assembled_true[i * num_dofs_u_coarse + j]); // LCOV_EXCL_STOP } } } // Cleanup free(rows); free(cols); CeedVectorDestroy(&x); CeedVectorDestroy(&q_data); CeedVectorDestroy(&u); CeedVectorDestroy(&v); CeedVectorDestroy(&assembled); CeedElemRestrictionDestroy(&elem_restriction_u_coarse); CeedElemRestrictionDestroy(&elem_restriction_u_fine); CeedElemRestrictionDestroy(&elem_restriction_x); CeedElemRestrictionDestroy(&elem_restriction_q_data); CeedBasisDestroy(&basis_u_coarse); CeedBasisDestroy(&basis_u_fine); CeedBasisDestroy(&basis_x); CeedQFunctionDestroy(&qf_setup); CeedQFunctionDestroy(&qf_mass); CeedOperatorDestroy(&op_setup); CeedOperatorDestroy(&op_mass); CeedDestroy(&ceed); return 0; }