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 <stdio.h> 7 #include <stdlib.h> 8 9 #include "t535-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff; 14 CeedBasis basis_x, basis_u; 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, u, v; 18 CeedInt p = 3, q = 4, dim = 2; 19 CeedInt n_x = 3, n_y = 2; 20 CeedInt num_elem = n_x * n_y; 21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 22 CeedInt ind_x[num_elem * p * p]; 23 CeedScalar assembled_values[num_dofs * num_dofs]; 24 CeedScalar assembled_true[num_dofs * num_dofs]; 25 26 CeedInit(argv[1], &ceed); 27 28 // Vectors 29 CeedVectorCreate(ceed, dim * num_dofs, &x); 30 { 31 CeedScalar x_array[dim * num_dofs]; 32 33 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 34 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 35 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 36 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 37 } 38 } 39 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 40 } 41 CeedVectorCreate(ceed, num_dofs, &u); 42 CeedVectorCreate(ceed, num_dofs, &v); 43 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 44 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 45 46 // Restrictions 47 for (CeedInt i = 0; i < num_elem; i++) { 48 CeedInt column, row, offset; 49 50 column = i % n_x; 51 row = i / n_x; 52 offset = column * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 53 for (CeedInt j = 0; j < p; j++) { 54 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 55 } 56 } 57 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 58 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 59 60 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 62 63 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 64 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 65 &elem_restriction_q_data_diff); 66 67 // Bases 68 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 69 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 70 71 // QFunction - setup mass 72 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 73 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 74 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 75 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 76 77 // Operator - setup mass 78 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 79 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 80 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 82 83 // QFunction - setup diff 84 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 85 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 86 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 87 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 88 89 // Operator - setup diff 90 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 91 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 93 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 94 95 // Apply Setup Operators 96 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 97 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 98 99 // QFunction - apply 100 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 101 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 102 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 103 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 104 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 105 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 106 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 107 108 // Operator - apply 109 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 110 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 111 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 112 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 113 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 114 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 115 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 116 117 // Fully assemble operator 118 CeedSize num_entries; 119 CeedInt *rows; 120 CeedInt *cols; 121 CeedVector assembled; 122 123 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 124 assembled_values[k] = 0.0; 125 assembled_true[k] = 0.0; 126 } 127 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols); 128 CeedVectorCreate(ceed, num_entries, &assembled); 129 CeedOperatorLinearAssemble(op_apply, assembled); 130 { 131 const CeedScalar *assembled_array; 132 133 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 134 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 135 CeedVectorRestoreArrayRead(assembled, &assembled_array); 136 } 137 138 // Manually assemble operator 139 CeedVectorSetValue(u, 0.0); 140 for (CeedInt i = 0; i < num_dofs; i++) { 141 // Set input 142 CeedScalar *u_array; 143 const CeedScalar *v_array; 144 145 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 146 u_array[i] = 1.0; 147 if (i) u_array[i - 1] = 0.0; 148 CeedVectorRestoreArray(u, &u_array); 149 150 // Compute entries for column i 151 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 152 153 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 154 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 155 CeedVectorRestoreArrayRead(v, &v_array); 156 } 157 158 // Check output 159 for (CeedInt i = 0; i < num_dofs; i++) { 160 for (CeedInt j = 0; j < num_dofs; j++) { 161 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 162 // LCOV_EXCL_START 163 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 164 assembled_true[j * num_dofs + i]); 165 // LCOV_EXCL_STOP 166 } 167 } 168 } 169 170 // Cleanup 171 free(rows); 172 free(cols); 173 CeedVectorDestroy(&x); 174 CeedVectorDestroy(&q_data_mass); 175 CeedVectorDestroy(&q_data_diff); 176 CeedVectorDestroy(&u); 177 CeedVectorDestroy(&v); 178 CeedVectorDestroy(&assembled); 179 CeedElemRestrictionDestroy(&elem_restriction_u); 180 CeedElemRestrictionDestroy(&elem_restriction_x); 181 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 182 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 183 CeedBasisDestroy(&basis_u); 184 CeedBasisDestroy(&basis_x); 185 CeedQFunctionDestroy(&qf_setup_mass); 186 CeedQFunctionDestroy(&qf_setup_diff); 187 CeedQFunctionDestroy(&qf_apply); 188 CeedOperatorDestroy(&op_setup_mass); 189 CeedOperatorDestroy(&op_setup_diff); 190 CeedOperatorDestroy(&op_apply); 191 CeedDestroy(&ceed); 192 return 0; 193 } 194