1 /// @file 2 /// Test full assembly of Poisson operator AtPoints 3 /// \test Test full assembly of Poisson operator AtPoints 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t597-operator.h" 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 14 CeedInit(argv[1], &ceed); 15 16 for (CeedInt num_comp = 1; num_comp <= 3; num_comp++) { 17 CeedElemRestriction elem_restriction_x, elem_restriction_x_points, elem_restriction_u, elem_restriction_q_data; 18 CeedBasis basis_x, basis_u; 19 CeedQFunction qf_setup, qf_diff; 20 CeedOperator op_setup, op_diff; 21 CeedVector q_data, x, x_points, u, v; 22 CeedInt p = 3, q = 4, dim = 2; 23 CeedInt n_x = 3, n_y = 2; 24 CeedInt num_elem = n_x * n_y; 25 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_points_per_elem = 4, num_points = num_elem * num_points_per_elem; 26 CeedInt ind_x[num_elem * p * p]; 27 CeedScalar assembled_values[num_comp * num_comp * num_dofs * num_dofs]; 28 CeedScalar assembled_true[num_comp * num_comp * num_dofs * num_dofs]; 29 30 // Points 31 CeedVectorCreate(ceed, dim * num_points, &x_points); 32 { 33 CeedScalar x_array[dim * num_points]; 34 35 for (CeedInt e = 0; e < num_elem; e++) { 36 for (CeedInt d = 0; d < dim; d++) { 37 x_array[num_points_per_elem * (e * dim + d) + 0] = 0.25; 38 x_array[num_points_per_elem * (e * dim + d) + 1] = d == 0 ? -0.25 : 0.25; 39 x_array[num_points_per_elem * (e * dim + d) + 2] = d == 0 ? 0.25 : -0.25; 40 x_array[num_points_per_elem * (e * dim + d) + 3] = 0.25; 41 } 42 } 43 CeedVectorSetArray(x_points, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 44 } 45 { 46 CeedInt ind_x[num_elem + 1 + num_points]; 47 48 for (CeedInt i = 0; i <= num_elem; i++) ind_x[i] = num_elem + 1 + i * num_points_per_elem; 49 for (CeedInt i = 0; i < num_points; i++) ind_x[num_elem + 1 + i] = i; 50 CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, dim, num_points * dim, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x, 51 &elem_restriction_x_points); 52 CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, dim * (dim + 1) / 2, num_points * dim * (dim + 1) / 2, CEED_MEM_HOST, 53 CEED_COPY_VALUES, ind_x, &elem_restriction_q_data); 54 } 55 56 // Vectors 57 CeedVectorCreate(ceed, dim * num_dofs, &x); 58 { 59 CeedScalar x_array[dim * num_dofs]; 60 61 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 62 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 63 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 64 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 65 } 66 } 67 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 68 } 69 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 70 CeedVectorCreate(ceed, num_comp * num_dofs, &v); 71 CeedVectorCreate(ceed, num_points * dim * (dim + 1) / 2, &q_data); 72 73 // Restrictions 74 for (CeedInt i = 0; i < num_elem; i++) { 75 CeedInt col, row, offset; 76 col = i % n_x; 77 row = i / n_x; 78 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 79 for (CeedInt j = 0; j < p; j++) { 80 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 81 } 82 } 83 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 84 CeedElemRestrictionCreate(ceed, num_elem, p * p, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 85 &elem_restriction_u); 86 87 // Bases 88 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 89 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &basis_u); 90 91 // QFunction - setup 92 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 93 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 94 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 95 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 96 97 // Operator - setup 98 CeedOperatorCreateAtPoints(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 99 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 100 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 101 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 102 CeedOperatorAtPointsSetPoints(op_setup, elem_restriction_x_points, x_points); 103 104 // Apply Setup Operator 105 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 106 107 // QFunction - apply 108 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 109 CeedQFunctionAddInput(qf_diff, "du", num_comp * dim, CEED_EVAL_GRAD); 110 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 111 CeedQFunctionAddOutput(qf_diff, "dv", num_comp * dim, CEED_EVAL_GRAD); 112 { 113 CeedQFunctionContext qf_context; 114 115 CeedQFunctionContextCreate(ceed, &qf_context); 116 CeedQFunctionContextSetData(qf_context, CEED_MEM_HOST, CEED_COPY_VALUES, sizeof(CeedInt), &num_comp); 117 CeedQFunctionSetContext(qf_diff, qf_context); 118 CeedQFunctionContextDestroy(&qf_context); 119 } 120 121 // Operator - apply 122 CeedOperatorCreateAtPoints(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 123 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 124 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 125 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 126 CeedOperatorAtPointsSetPoints(op_diff, elem_restriction_x_points, x_points); 127 128 // Fully assemble operator 129 CeedSize num_entries; 130 CeedInt *rows; 131 CeedInt *cols; 132 CeedVector assembled; 133 134 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; ++k) { 135 assembled_values[k] = 0.0; 136 assembled_true[k] = 0.0; 137 } 138 CeedOperatorLinearAssembleSymbolic(op_diff, &num_entries, &rows, &cols); 139 CeedVectorCreate(ceed, num_entries, &assembled); 140 CeedOperatorLinearAssemble(op_diff, assembled); 141 { 142 const CeedScalar *assembled_array; 143 144 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 145 for (CeedInt k = 0; k < num_entries; k++) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k]; 146 CeedVectorRestoreArrayRead(assembled, &assembled_array); 147 } 148 149 // Manually assemble operator 150 CeedVectorSetValue(u, 0.0); 151 for (CeedInt j = 0; j < num_comp * num_dofs; j++) { 152 CeedScalar *u_array; 153 const CeedScalar *v_array; 154 155 // Set input 156 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 157 u_array[j] = 1.0; 158 if (j) u_array[j - 1] = 0.0; 159 CeedVectorRestoreArray(u, &u_array); 160 161 // Compute entries for column j 162 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 163 164 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 165 for (CeedInt i = 0; i < num_comp * num_dofs; i++) assembled_true[i * num_comp * num_dofs + j] = v_array[i]; 166 CeedVectorRestoreArrayRead(v, &v_array); 167 } 168 169 // Check output 170 for (CeedInt i = 0; i < num_comp * num_dofs; i++) { 171 for (CeedInt j = 0; j < num_comp * num_dofs; j++) { 172 if (fabs(assembled_values[i * num_comp * num_dofs + j] - assembled_true[i * num_comp * num_dofs + j]) > 100. * CEED_EPSILON) { 173 // LCOV_EXCL_START 174 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_comp * num_dofs + j], 175 assembled_true[i * num_comp * num_dofs + j]); 176 // LCOV_EXCL_STOP 177 } 178 } 179 } 180 181 // Cleanup 182 free(rows); 183 free(cols); 184 CeedVectorDestroy(&x); 185 CeedVectorDestroy(&x_points); 186 CeedVectorDestroy(&q_data); 187 CeedVectorDestroy(&u); 188 CeedVectorDestroy(&v); 189 CeedVectorDestroy(&assembled); 190 CeedElemRestrictionDestroy(&elem_restriction_u); 191 CeedElemRestrictionDestroy(&elem_restriction_x); 192 CeedElemRestrictionDestroy(&elem_restriction_x_points); 193 CeedElemRestrictionDestroy(&elem_restriction_q_data); 194 CeedBasisDestroy(&basis_u); 195 CeedBasisDestroy(&basis_x); 196 CeedQFunctionDestroy(&qf_setup); 197 CeedQFunctionDestroy(&qf_diff); 198 CeedOperatorDestroy(&op_setup); 199 CeedOperatorDestroy(&op_diff); 200 } 201 CeedDestroy(&ceed); 202 return 0; 203 } 204