1 /// @file 2 /// Test assembly of non-symmetric Poisson operator (multi-component) 3 /// \test Test assembly of non-symmetric Poisson operator (multi-component) 4 #include "t567-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdlib.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 = 3, dim = 2, num_comp = 2; 18 CeedInt n_x = 1, n_y = 1; 19 CeedInt num_elem = n_x * n_y; 20 CeedInt num_dofs = (n_x * (p - 1) + 1) * (n_y * (p - 1) + 1), num_qpts = num_elem * q * q; 21 CeedInt ind_x[num_elem * p * p]; 22 CeedScalar assembled_values[num_comp * num_comp * num_dofs * num_dofs]; 23 CeedScalar assembled_true[num_comp * num_comp * 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 * (p - 1) + 1; i++) { 33 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) { 34 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (n_x * (p - 1)); 35 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (n_y * (p - 1)); 36 } 37 } 38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 39 } 40 CeedVectorCreate(ceed, num_comp * num_dofs, &u); 41 CeedVectorCreate(ceed, num_comp * 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 * (p - 1) + 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 * p + 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, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, 56 &elem_restriction_u); 57 58 CeedInt strides_q_data[3] = {1, q * q * num_elem, q * q}; 59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, num_qpts * dim * (dim + 1) / 2, 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, num_comp, p, q, CEED_GAUSS, &basis_u); 65 66 // QFunctions 67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 68 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 69 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddOutput(qf_setup, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 71 72 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 73 CeedQFunctionAddInput(qf_diff, "qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 74 CeedQFunctionAddInput(qf_diff, "u", num_comp * dim, CEED_EVAL_GRAD); 75 CeedQFunctionAddOutput(qf_diff, "v", num_comp * dim, CEED_EVAL_GRAD); 76 77 // Operators 78 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 79 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup, "qdata", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 82 83 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 84 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data); 85 CeedOperatorSetField(op_diff, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 86 CeedOperatorSetField(op_diff, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 87 88 // Apply Setup Operator 89 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 90 91 // Fuly assemble operator 92 CeedSize num_entries; 93 CeedInt *rows; 94 CeedInt *cols; 95 CeedVector assembled; 96 97 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) { 98 assembled_values[k] = 0.0; 99 assembled_true[k] = 0.0; 100 } 101 CeedOperatorLinearAssembleSymbolic(op_diff, &num_entries, &rows, &cols); 102 CeedVectorCreate(ceed, num_entries, &assembled); 103 CeedOperatorLinearAssemble(op_diff, assembled); 104 { 105 const CeedScalar *assembled_array; 106 107 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 108 for (CeedInt k = 0; k < num_entries; k++) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k]; 109 CeedVectorRestoreArrayRead(assembled, &assembled_array); 110 } 111 112 // Manually assemble operator 113 CeedInt old_index = -1; 114 115 CeedVectorSetValue(u, 0.0); 116 for (CeedInt comp_in = 0; comp_in < num_comp; comp_in++) { 117 for (CeedInt node_in = 0; node_in < num_dofs; node_in++) { 118 CeedScalar *u_array; 119 const CeedScalar *v_array; 120 121 // Set input 122 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 123 CeedInt ind = node_in + comp_in * num_dofs; 124 u_array[ind] = 1.0; 125 if (ind > 0) u_array[old_index] = 0.0; 126 old_index = ind; 127 CeedVectorRestoreArray(u, &u_array); 128 129 // Compute effect of DoF j 130 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 131 132 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 133 for (CeedInt k = 0; k < num_dofs * num_comp; k++) assembled_true[k * num_dofs * num_comp + ind] = v_array[k]; 134 CeedVectorRestoreArrayRead(v, &v_array); 135 } 136 } 137 138 // Check output 139 for (CeedInt node_in = 0; node_in < num_dofs; node_in++) { 140 for (CeedInt comp_in = 0; comp_in < num_comp; comp_in++) { 141 for (CeedInt node_out = 0; node_out < num_dofs; node_out++) { 142 for (CeedInt comp_out = 0; comp_out < num_comp; comp_out++) { 143 const CeedInt index = (node_out + comp_out * num_dofs) * num_comp + node_in + comp_in * num_dofs; 144 const CeedScalar assembled_value = assembled_values[index]; 145 const CeedScalar assembled_true_value = assembled_true[index]; 146 if (fabs(assembled_value - assembled_true_value) > 100. * CEED_EPSILON) { 147 // LCOV_EXCL_START 148 printf("[(%" CeedInt_FMT ", %" CeedInt_FMT "), (%" CeedInt_FMT ", %" CeedInt_FMT ")] Error in assembly: %f != %f\n", node_out, comp_out, 149 node_in, comp_in, assembled_value, assembled_true_value); 150 // LCOV_EXCL_STOP 151 } 152 } 153 } 154 } 155 } 156 157 // Cleanup 158 free(rows); 159 free(cols); 160 CeedVectorDestroy(&x); 161 CeedVectorDestroy(&q_data); 162 CeedVectorDestroy(&u); 163 CeedVectorDestroy(&v); 164 CeedVectorDestroy(&assembled); 165 CeedElemRestrictionDestroy(&elem_restriction_u); 166 CeedElemRestrictionDestroy(&elem_restriction_x); 167 CeedElemRestrictionDestroy(&elem_restriction_q_data); 168 CeedBasisDestroy(&basis_u); 169 CeedBasisDestroy(&basis_x); 170 CeedQFunctionDestroy(&qf_setup); 171 CeedQFunctionDestroy(&qf_diff); 172 CeedOperatorDestroy(&op_setup); 173 CeedOperatorDestroy(&op_diff); 174 CeedDestroy(&ceed); 175 return 0; 176 } 177