1 /// @file 2 /// Test full assembly of Poisson operator 3 /// \test Test full assembly of Poisson operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t534-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; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_diff; 15 CeedOperator op_setup, op_diff; 16 CeedVector q_data, 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 * dim * (dim + 1) / 2, &q_data); 43 44 // Restrictions 45 for (CeedInt i = 0; i < num_elem; i++) { 46 CeedInt col, row, offset; 47 col = i % n_x; 48 row = i / n_x; 49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 50 for (CeedInt j = 0; j < p; j++) { 51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 52 } 53 } 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 56 57 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data, 59 &elem_restriction_q_data); 60 61 // Bases 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 64 65 // QFunction - setup 66 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 67 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 68 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 69 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 70 71 // Operator - setup 72 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 73 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 74 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 76 77 // Apply Setup Operator 78 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 79 80 // QFunction - apply 81 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 82 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 83 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 84 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 85 86 // Operator - apply 87 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 88 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 89 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 90 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 91 92 // Fully assemble operator 93 CeedSize num_entries; 94 CeedInt *rows; 95 CeedInt *cols; 96 CeedVector assembled; 97 98 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 99 assembled_values[k] = 0.0; 100 assembled_true[k] = 0.0; 101 } 102 CeedOperatorLinearAssembleSymbolic(op_diff, &num_entries, &rows, &cols); 103 CeedVectorCreate(ceed, num_entries, &assembled); 104 CeedOperatorLinearAssemble(op_diff, assembled); 105 { 106 const CeedScalar *assembled_array; 107 108 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 109 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 110 CeedVectorRestoreArrayRead(assembled, &assembled_array); 111 } 112 113 // Manually assemble operator 114 CeedVectorSetValue(u, 0.0); 115 for (CeedInt i = 0; i < num_dofs; i++) { 116 CeedScalar *u_array; 117 const CeedScalar *v_array; 118 119 // Set input 120 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 121 u_array[i] = 1.0; 122 if (i) u_array[i - 1] = 0.0; 123 CeedVectorRestoreArray(u, &u_array); 124 125 // Compute entries for column i 126 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 127 128 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 129 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 130 CeedVectorRestoreArrayRead(v, &v_array); 131 } 132 133 // Check output 134 for (CeedInt i = 0; i < num_dofs; i++) { 135 for (CeedInt j = 0; j < num_dofs; j++) { 136 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 137 // LCOV_EXCL_START 138 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 139 assembled_true[j * num_dofs + i]); 140 // LCOV_EXCL_STOP 141 } 142 } 143 } 144 145 // Cleanup 146 free(rows); 147 free(cols); 148 CeedVectorDestroy(&x); 149 CeedVectorDestroy(&q_data); 150 CeedVectorDestroy(&u); 151 CeedVectorDestroy(&v); 152 CeedVectorDestroy(&assembled); 153 CeedElemRestrictionDestroy(&elem_restriction_u); 154 CeedElemRestrictionDestroy(&elem_restriction_x); 155 CeedElemRestrictionDestroy(&elem_restriction_q_data); 156 CeedBasisDestroy(&basis_u); 157 CeedBasisDestroy(&basis_x); 158 CeedQFunctionDestroy(&qf_setup); 159 CeedQFunctionDestroy(&qf_diff); 160 CeedOperatorDestroy(&op_setup); 161 CeedOperatorDestroy(&op_diff); 162 CeedDestroy(&ceed); 163 return 0; 164 } 165