1 /// @file 2 /// Test full assembly of Poisson operator (see t534) 3 /// \test Test full assembly of Poisson operator 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdio.h> 7 #include <stdlib.h> 8 9 #include "t534-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; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_diff; 16 CeedOperator op_setup, op_diff; 17 CeedVector q_data, 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 * dim * (dim + 1) / 2, &q_data); 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 - 1) + row * (n_x * 2 + 1) * (p - 1); 51 for (CeedInt j = 0; j < p; j++) { 52 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 53 } 54 } 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 56 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 57 58 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data, 60 &elem_restriction_q_data); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 65 66 // QFunction - setup 67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 68 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 69 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 70 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 71 72 // Operator - setup 73 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 74 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 75 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 76 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 77 78 // Apply Setup Operator 79 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 80 81 // QFunction - apply 82 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 83 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 84 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 85 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 86 87 // Operator - apply 88 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 89 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 90 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 91 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 92 93 // Fully assemble operator 94 CeedSize num_entries; 95 CeedInt *rows; 96 CeedInt *cols; 97 CeedVector assembled; 98 99 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) { 100 assembled_values[k] = 0.0; 101 assembled_true[k] = 0.0; 102 } 103 CeedOperatorLinearAssembleSymbolic(op_diff, &num_entries, &rows, &cols); 104 CeedVectorCreate(ceed, num_entries, &assembled); 105 CeedOperatorLinearAssemble(op_diff, assembled); 106 { 107 const CeedScalar *assembled_array; 108 109 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 110 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k]; 111 CeedVectorRestoreArrayRead(assembled, &assembled_array); 112 } 113 114 // Manually assemble operator 115 CeedVectorSetValue(u, 0.0); 116 for (CeedInt i = 0; i < num_dofs; i++) { 117 CeedScalar *u_array; 118 const CeedScalar *v_array; 119 120 // Set input 121 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 122 u_array[i] = 1.0; 123 if (i) u_array[i - 1] = 0.0; 124 CeedVectorRestoreArray(u, &u_array); 125 126 // Compute entries for column i 127 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 128 129 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 130 for (CeedInt k = 0; k < num_dofs; k++) assembled_true[i * num_dofs + k] = v_array[k]; 131 CeedVectorRestoreArrayRead(v, &v_array); 132 } 133 134 // Check output 135 for (CeedInt i = 0; i < num_dofs; i++) { 136 for (CeedInt j = 0; j < num_dofs; j++) { 137 if (fabs(assembled_values[j * num_dofs + i] - assembled_true[j * num_dofs + i]) > 100. * CEED_EPSILON) { 138 // LCOV_EXCL_START 139 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[j * num_dofs + i], 140 assembled_true[j * num_dofs + i]); 141 // LCOV_EXCL_STOP 142 } 143 } 144 } 145 146 // Cleanup 147 free(rows); 148 free(cols); 149 CeedVectorDestroy(&x); 150 CeedVectorDestroy(&q_data); 151 CeedVectorDestroy(&u); 152 CeedVectorDestroy(&v); 153 CeedVectorDestroy(&assembled); 154 CeedElemRestrictionDestroy(&elem_restriction_u); 155 CeedElemRestrictionDestroy(&elem_restriction_x); 156 CeedElemRestrictionDestroy(&elem_restriction_q_data); 157 CeedBasisDestroy(&basis_u); 158 CeedBasisDestroy(&basis_x); 159 CeedQFunctionDestroy(&qf_setup); 160 CeedQFunctionDestroy(&qf_diff); 161 CeedOperatorDestroy(&op_setup); 162 CeedOperatorDestroy(&op_diff); 163 CeedDestroy(&ceed); 164 return 0; 165 } 166