1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t535-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x, elem_restr_u, 12 elem_restr_qd_mass_i, elem_restr_qd_diff_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector q_data_mass, q_data_diff, X, A, U, V; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt n_x = 3, n_y = 2; 19 CeedInt num_dofs = (n_x*2+1)*(n_y*2+1), num_qpts = num_elem*Q*Q; 20 CeedInt ind_x[num_elem*P*P]; 21 CeedScalar x[dim*num_dofs], assembled_true[num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i=0; i<n_x*2+1; i++) 29 for (CeedInt j=0; j<n_y*2+1; j++) { 30 x[i+j*(n_x*2+1)+0*num_dofs] = (CeedScalar) i / (2*n_x); 31 x[i+j*(n_x*2+1)+1*num_dofs] = (CeedScalar) j / (2*n_y); 32 } 33 CeedVectorCreate(ceed, dim*num_dofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vectors 37 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 38 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data_diff); 39 40 // Element Setup 41 for (CeedInt i=0; i<num_elem; i++) { 42 CeedInt col, row, offset; 43 col = i % n_x; 44 row = i / n_x; 45 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 46 for (CeedInt j=0; j<P; j++) 47 for (CeedInt k=0; k<P; k++) 48 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 49 } 50 51 // Restrictions 52 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 53 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 54 55 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 56 CEED_USE_POINTER, ind_x, &elem_restr_u); 57 CeedInt strides_qd_mass[3] = {1, Q*Q, Q*Q}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, 59 strides_qd_mass, 60 &elem_restr_qd_mass_i); 61 62 CeedInt strides_qd_diff[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 63 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 64 dim*(dim+1)/2*num_qpts, 65 strides_qd_diff, &elem_restr_qd_diff_i); 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, 73 &qf_setup_mass); 74 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 75 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 76 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 77 78 // Operator - setup mass 79 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 80 CEED_QFUNCTION_NONE, &op_setup_mass); 81 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 82 CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, 84 basis_x, 85 CEED_VECTOR_NONE); 86 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 87 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 88 89 // QFunction - setup diff 90 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 91 &qf_setup_diff); 92 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 93 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 94 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 95 96 // Operator - setup diff 97 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 98 CEED_QFUNCTION_NONE, &op_setup_diff); 99 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 100 CEED_VECTOR_ACTIVE); 101 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, 102 basis_x, 103 CEED_VECTOR_NONE); 104 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 105 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 106 107 // Apply Setup Operators 108 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 109 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 110 111 // QFunction - apply 112 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 113 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 114 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 115 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 116 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 117 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 118 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 119 120 // Operator - apply 121 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 122 &op_apply); 123 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 124 CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_mass_i, 125 CEED_BASIS_COLLOCATED, q_data_mass); 126 CeedOperatorSetField(op_apply, "qdata_diff", elem_restr_qd_diff_i, 127 CEED_BASIS_COLLOCATED, q_data_diff); 128 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 129 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 130 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 131 132 // Assemble diagonal 133 CeedVectorCreate(ceed, num_dofs, &A); 134 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 135 136 // Manually assemble diagonal 137 CeedVectorCreate(ceed, num_dofs, &U); 138 CeedVectorSetValue(U, 0.0); 139 CeedVectorCreate(ceed, num_dofs, &V); 140 for (int i=0; i<num_dofs; i++) { 141 // Set input 142 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 143 u[i] = 1.0; 144 if (i) 145 u[i-1] = 0.0; 146 CeedVectorRestoreArray(U, &u); 147 148 // Compute diag entry for DoF i 149 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 150 151 // Retrieve entry 152 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 153 assembled_true[i] = v[i]; 154 CeedVectorRestoreArrayRead(V, &v); 155 } 156 157 // Check output 158 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 159 for (int i=0; i<num_dofs; i++) 160 if (fabs(a[i] - assembled_true[i]) > 100.*CEED_EPSILON) 161 // LCOV_EXCL_START 162 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 163 // LCOV_EXCL_STOP 164 CeedVectorRestoreArrayRead(A, &a); 165 166 // Cleanup 167 CeedQFunctionDestroy(&qf_setup_mass); 168 CeedQFunctionDestroy(&qf_setup_diff); 169 CeedQFunctionDestroy(&qf_apply); 170 CeedOperatorDestroy(&op_setup_mass); 171 CeedOperatorDestroy(&op_setup_diff); 172 CeedOperatorDestroy(&op_apply); 173 CeedElemRestrictionDestroy(&elem_restr_u); 174 CeedElemRestrictionDestroy(&elem_restr_x); 175 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 176 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 177 CeedBasisDestroy(&basis_u); 178 CeedBasisDestroy(&basis_x); 179 CeedVectorDestroy(&X); 180 CeedVectorDestroy(&A); 181 CeedVectorDestroy(&q_data_mass); 182 CeedVectorDestroy(&q_data_diff); 183 CeedVectorDestroy(&U); 184 CeedVectorDestroy(&V); 185 CeedDestroy(&ceed); 186 return 0; 187 } 188