1 /// @file 2 /// Test assembly of operator diagonal for operator with multiple active bases 3 /// \test Test assembly of operator diagonal for operator with multiple active bases 4 #include "t539-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdio.h> 9 #include <stdlib.h> 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u_0, elem_restriction_u_1, elem_restr_q_data_mass, elem_restr_q_data_diff; 14 CeedBasis basis_x, basis_u_0, basis_u_1; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply; 17 CeedVector q_data_mass, q_data_diff, x, assembled, u, v; 18 CeedInt num_elem = 6, p_0 = 2, p_1 = 3, q = 4, dim = 2, num_comp_0 = 2, num_comp_1 = 1; 19 CeedInt n_x = 3, n_y = 2; 20 CeedInt num_dofs_0 = (n_x * (p_0 - 1) + 1) * (n_y * (p_0 - 1) + 1), num_dofs_1 = (n_x * (p_1 - 1) + 1) * (n_y * (p_1 - 1) + 1); 21 CeedInt num_qpts = num_elem * q * q; 22 CeedInt ind_u_0[num_elem * p_0 * p_0], ind_u_1[num_elem * p_1 * p_1]; 23 CeedScalar assembled_true[num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1]; 24 25 CeedInit(argv[1], &ceed); 26 27 // Vectors 28 CeedVectorCreate(ceed, dim * num_dofs_0, &x); 29 { 30 CeedScalar x_array[dim * num_dofs_0]; 31 32 for (CeedInt i = 0; i < n_x * (p_0 - 1) + 1; i++) { 33 for (CeedInt j = 0; j < n_y * (p_0 - 1) + 1; j++) { 34 x_array[i + j * (n_x * (p_0 - 1) + 1) + 0 * num_dofs_0] = (CeedScalar)i / ((p_0 - 1) * n_x); 35 x_array[i + j * (n_x * (p_0 - 1) + 1) + 1 * num_dofs_0] = (CeedScalar)j / ((p_0 - 1) * n_y); 36 } 37 } 38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 39 } 40 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &u); 41 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &v); 42 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 43 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 44 45 // Restrictions 46 for (CeedInt i = 0; i < num_elem; i++) { 47 CeedInt col, row, offset; 48 col = i % n_x; 49 row = i / n_x; 50 offset = col * (p_0 - 1) + row * (n_x * (p_0 - 1) + 1) * (p_0 - 1); 51 for (CeedInt j = 0; j < p_0; j++) { 52 for (CeedInt k = 0; k < p_0; k++) ind_u_0[p_0 * (p_0 * i + k) + j] = offset + k * (n_x * (p_0 - 1) + 1) + j; 53 } 54 offset = col * (p_1 - 1) + row * (n_x * (p_1 - 1) + 1) * (p_1 - 1) + num_dofs_0 * num_comp_0; 55 for (CeedInt j = 0; j < p_1; j++) { 56 for (CeedInt k = 0; k < p_1; k++) ind_u_1[p_1 * (p_1 * i + k) + j] = offset + k * (n_x * (p_1 - 1) + 1) + j; 57 } 58 } 59 CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, dim, num_dofs_0, dim * num_dofs_0, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_0, 60 &elem_restriction_x); 61 CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, num_comp_0, num_dofs_0, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 62 CEED_USE_POINTER, ind_u_0, &elem_restriction_u_0); 63 CeedElemRestrictionCreate(ceed, num_elem, p_1 * p_1, num_comp_1, num_dofs_1, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 64 CEED_USE_POINTER, ind_u_1, &elem_restriction_u_1); 65 66 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 67 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restr_q_data_mass); 68 69 CeedInt strides_q_data_diff[3] = {1, q * q, dim * (dim + 1) / 2 * q * q}; 70 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 71 &elem_restr_q_data_diff); 72 73 // Bases 74 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_0, q, CEED_GAUSS, &basis_x); 75 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_0, p_0, q, CEED_GAUSS, &basis_u_0); 76 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_1, p_1, q, CEED_GAUSS, &basis_u_1); 77 78 // QFunction - setup mass 79 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 80 81 // Operator - setup mass 82 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 83 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 85 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 86 87 // QFunction - setup diffusion 88 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 89 90 // Operator - setup diffusion 91 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 92 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 93 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 94 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 95 96 // Apply Setup Operators 97 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 98 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 99 100 // QFunction - apply 101 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 102 CeedQFunctionAddInput(qf_apply, "du_0", num_comp_0 * dim, CEED_EVAL_GRAD); 103 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 104 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 105 CeedQFunctionAddInput(qf_apply, "u_0", num_comp_0, CEED_EVAL_INTERP); 106 CeedQFunctionAddInput(qf_apply, "u_1", num_comp_1, CEED_EVAL_INTERP); 107 CeedQFunctionAddOutput(qf_apply, "v_0", num_comp_0, CEED_EVAL_INTERP); 108 CeedQFunctionAddOutput(qf_apply, "v_1", num_comp_1, CEED_EVAL_INTERP); 109 CeedQFunctionAddOutput(qf_apply, "dv_0", num_comp_0 * dim, CEED_EVAL_GRAD); 110 111 // Operator - apply 112 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 113 CeedOperatorSetField(op_apply, "du_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 114 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, q_data_mass); 115 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, q_data_diff); 116 CeedOperatorSetField(op_apply, "u_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 117 CeedOperatorSetField(op_apply, "u_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 118 CeedOperatorSetField(op_apply, "v_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 119 CeedOperatorSetField(op_apply, "v_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 120 CeedOperatorSetField(op_apply, "dv_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 121 122 // Assemble diagonal 123 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &assembled); 124 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 125 126 // Manually assemble diagonal 127 CeedVectorSetValue(u, 0.0); 128 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) assembled_true[i] = 0.0; 129 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 130 // Set input 131 CeedScalar *u_array; 132 const CeedScalar *v_array; 133 134 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 135 u_array[i] = 1.0; 136 if (i) u_array[i - 1] = 0.0; 137 CeedVectorRestoreArray(u, &u_array); 138 139 // Compute diag entry for DoF i 140 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 141 142 // Retrieve entry 143 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 144 assembled_true[i] = v_array[i]; 145 CeedVectorRestoreArrayRead(v, &v_array); 146 } 147 148 // Check output 149 { 150 const CeedScalar *assembled_array; 151 152 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 153 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 154 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { 155 // LCOV_EXCL_START 156 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 157 // LCOV_EXCL_STOP 158 } 159 } 160 CeedVectorRestoreArrayRead(assembled, &assembled_array); 161 } 162 163 // Cleanup 164 CeedVectorDestroy(&x); 165 CeedVectorDestroy(&assembled); 166 CeedVectorDestroy(&u); 167 CeedVectorDestroy(&v); 168 CeedVectorDestroy(&q_data_mass); 169 CeedVectorDestroy(&q_data_diff); 170 CeedElemRestrictionDestroy(&elem_restriction_x); 171 CeedElemRestrictionDestroy(&elem_restriction_u_0); 172 CeedElemRestrictionDestroy(&elem_restriction_u_1); 173 CeedElemRestrictionDestroy(&elem_restr_q_data_mass); 174 CeedElemRestrictionDestroy(&elem_restr_q_data_diff); 175 CeedBasisDestroy(&basis_x); 176 CeedBasisDestroy(&basis_u_0); 177 CeedBasisDestroy(&basis_u_1); 178 CeedQFunctionDestroy(&qf_setup_mass); 179 CeedQFunctionDestroy(&qf_setup_diff); 180 CeedQFunctionDestroy(&qf_apply); 181 CeedOperatorDestroy(&op_setup_mass); 182 CeedOperatorDestroy(&op_setup_diff); 183 CeedOperatorDestroy(&op_apply); 184 CeedDestroy(&ceed); 185 return 0; 186 } 187