1 /// @file 2 /// Test full assembly of mass and Poisson operator (see t535) 3 /// \test Test full assembly of mass and Poisson operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t535-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector q_data_mass, q_data_diff, x, u, v; 17 CeedInt p = 3, q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 19 CeedInt num_elem = n_x * n_y; 20 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 21 CeedInt ind_x[num_elem * p * p]; 22 CeedScalar assembled_values[num_dofs * num_dofs]; 23 CeedScalar assembled_true[num_dofs * num_dofs]; 24 25 CeedInit(argv[1], &ceed); 26 27 // Vectors 28 CeedVectorCreate(ceed, dim * num_dofs, &x); 29 { 30 CeedScalar x_array[dim * num_dofs]; 31 32 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 33 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 34 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 35 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 36 } 37 } 38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 39 } 40 CeedVectorCreate(ceed, num_dofs, &u); 41 CeedVectorCreate(ceed, num_dofs, &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 column, row, offset; 48 49 column = i % n_x; 50 row = i / n_x; 51 offset = column * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 52 for (CeedInt j = 0; j < p; j++) { 53 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 54 } 55 } 56 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 57 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 58 59 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 60 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 61 62 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 63 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 64 &elem_restriction_q_data_diff); 65 66 // Bases 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 68 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 69 70 // QFunction - setup mass 71 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 72 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 73 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 74 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 75 76 // Operator - setup mass 77 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 78 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 81 82 // QFunction - setup diff 83 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 84 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 85 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 86 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 87 88 // Operator - setup diff 89 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 90 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 92 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 93 94 // Apply Setup Operators 95 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 96 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 97 98 // QFunction - apply 99 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 100 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 101 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 102 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 103 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 104 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 105 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 106 107 // Operator - apply 108 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 109 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 110 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 111 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 112 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 113 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 114 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 115 116 // Fully assemble operator 117 CeedSize num_entries; 118 CeedInt *rows; 119 CeedInt *cols; 120 CeedVector assembled; 121 122 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 123 assembled_values[k] = 0.0; 124 assembled_true[k] = 0.0; 125 } 126 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 127 CeedVectorCreate(ceed, num_entries, &assembled); 128 CeedOperatorLinearAssemble(op_apply, assembled); 129 { 130 const CeedScalar *assembled_array; 131 132 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 133 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 134 CeedVectorRestoreArrayRead(assembled, &assembled_array); 135 } 136 137 // Manually assemble operator 138 CeedVectorSetValue(u, 0.0); 139 for (CeedInt i = 0; i < num_dofs; i++) { 140 // Set input 141 CeedScalar *u_array; 142 const CeedScalar *v_array; 143 144 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 145 u_array[i] = 1.0; 146 if (i) u_array[i - 1] = 0.0; 147 CeedVectorRestoreArray(u, &u_array); 148 149 // Compute entries for column i 150 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 151 152 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 153 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 154 CeedVectorRestoreArrayRead(v, &v_array); 155 } 156 157 // Check output 158 for (CeedInt i = 0; i < num_dofs; i++) { 159 for (CeedInt j = 0; j < num_dofs; j++) { 160 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 161 // LCOV_EXCL_START 162 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 163 assembled_true[j * num_dofs + i]); 164 // LCOV_EXCL_STOP 165 } 166 } 167 } 168 169 // Cleanup 170 free(rows); 171 free(cols); 172 CeedVectorDestroy(&x); 173 CeedVectorDestroy(&q_data_mass); 174 CeedVectorDestroy(&q_data_diff); 175 CeedVectorDestroy(&u); 176 CeedVectorDestroy(&v); 177 CeedVectorDestroy(&assembled); 178 CeedElemRestrictionDestroy(&elem_restriction_u); 179 CeedElemRestrictionDestroy(&elem_restriction_x); 180 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 181 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 182 CeedBasisDestroy(&basis_u); 183 CeedBasisDestroy(&basis_x); 184 CeedQFunctionDestroy(&qf_setup_mass); 185 CeedQFunctionDestroy(&qf_setup_diff); 186 CeedQFunctionDestroy(&qf_apply); 187 CeedOperatorDestroy(&op_setup_mass); 188 CeedOperatorDestroy(&op_setup_diff); 189 CeedOperatorDestroy(&op_apply); 190 CeedDestroy(&ceed); 191 return 0; 192 } 193