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 <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t567-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_i; 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[num_comp*num_comp*num_dofs*num_dofs]; 23 CeedScalar x[dim*num_dofs], assembled_true[num_comp*num_comp*num_dofs*num_dofs]; 24 CeedScalar *u; 25 const CeedScalar *v; 26 27 CeedInit(argv[1], &ceed); 28 29 // DoF Coordinates 30 for (CeedInt i=0; i<n_x*(P-1)+1; i++) 31 for (CeedInt j=0; j<n_y*(P-1)+1; j++) { 32 x[i+j*(n_x*2+1)+0*num_dofs] = (CeedScalar) i / (n_x * (P-1)); 33 x[i+j*(n_x*2+1)+1*num_dofs] = (CeedScalar) j / (n_y * (P-1)); 34 } 35 CeedVectorCreate(ceed, dim*num_dofs, &X); 36 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 37 38 // Qdata Vector 39 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data); 40 41 // Element Setup 42 for (CeedInt i=0; i<num_elem; i++) { 43 CeedInt col, row, offset; 44 col = i % n_x; 45 row = i / n_x; 46 offset = col*(P-1) + row*(n_x*(P-1)+1)*(P-1); 47 for (CeedInt j=0; j<P; j++) 48 for (CeedInt k=0; k<P; k++) 49 ind_x[P*(P*i+k)+j] = offset + k*P + j; 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 55 CeedElemRestrictionCreate(ceed, num_elem, P*P, num_comp, num_dofs, 56 num_comp*num_dofs, 57 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 58 CeedInt strides_qd[3] = {1, Q*Q*num_elem, Q*Q}; /* *NOPAD* */ 59 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 60 num_qpts*dim*(dim+1)/2, strides_qd, &elem_restr_qd_i); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, P, Q, CEED_GAUSS, 65 &basis_u); 66 67 // QFunctions 68 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 69 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 70 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 72 73 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 74 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 75 CeedQFunctionAddInput(qf_diff, "u", num_comp*dim, CEED_EVAL_GRAD); 76 CeedQFunctionAddOutput(qf_diff, "v", num_comp*dim, CEED_EVAL_GRAD); 77 78 // Operators 79 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 80 &op_setup); 81 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, 82 CEED_VECTOR_NONE); 83 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 85 CEED_VECTOR_ACTIVE); 86 87 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 88 &op_diff); 89 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 90 q_data); 91 CeedOperatorSetField(op_diff, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_diff, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 93 94 // Apply Setup Operator 95 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 96 97 // Fuly assemble operator 98 for (CeedInt k=0; k<num_comp*num_comp*num_dofs*num_dofs; k++) { 99 assembled[k] = 0.0; 100 assembled_true[k] = 0.0; 101 } 102 CeedSize nentries; 103 CeedInt *rows; 104 CeedInt *cols; 105 CeedVector values; 106 CeedOperatorLinearAssembleSymbolic(op_diff, &nentries, &rows, &cols); 107 CeedVectorCreate(ceed, nentries, &values); 108 CeedOperatorLinearAssemble(op_diff, values); 109 const CeedScalar *vals; 110 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 111 for (CeedInt k=0; k<nentries; k++) { 112 assembled[rows[k]*num_comp*num_dofs + cols[k]] += vals[k]; 113 } 114 CeedVectorRestoreArrayRead(values, &vals); 115 116 // Manually assemble operator 117 CeedVectorCreate(ceed, num_comp*num_dofs, &U); 118 CeedVectorSetValue(U, 0.0); 119 CeedVectorCreate(ceed, num_comp*num_dofs, &V); 120 CeedInt indOld = -1; 121 122 for (CeedInt comp_in=0; comp_in<num_comp; comp_in++) { 123 for (CeedInt node_in=0; node_in<num_dofs; node_in++) { 124 // Set input 125 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 126 CeedInt ind = node_in + comp_in*num_dofs; 127 u[ind] = 1.0; 128 if (ind > 0) 129 u[indOld] = 0.0; 130 indOld = ind; 131 CeedVectorRestoreArray(U, &u); 132 133 // Compute effect of DoF j 134 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 135 136 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 137 for (CeedInt k=0; k<num_dofs*num_comp; k++) { 138 assembled_true[k*num_dofs*num_comp + ind] = v[k]; 139 } 140 CeedVectorRestoreArrayRead(V, &v); 141 } 142 } 143 144 // Check output 145 for (CeedInt node_in=0; node_in<num_dofs; node_in++) { 146 for (CeedInt comp_in=0; comp_in<num_comp; comp_in++) { 147 for (CeedInt node_out=0; node_out<num_dofs; node_out++) { 148 for (CeedInt comp_out=0; comp_out<num_comp; comp_out++) { 149 const CeedInt index = (node_out + comp_out*num_dofs)*num_comp + node_in + 150 comp_in*num_dofs; 151 const CeedScalar assembled_value = assembled[index]; 152 const CeedScalar assembled_true_value = assembled_true[index]; 153 if (fabs(assembled_value - assembled_true_value) > 154 100.*CEED_EPSILON) 155 // LCOV_EXCL_START 156 printf("[(%d, %d), (%d, %d)] Error in assembly: %f != %f\n", 157 node_out, comp_out, node_in, comp_in, 158 assembled_value, assembled_true_value); 159 // LCOV_EXCL_STOP 160 } 161 } 162 } 163 } 164 165 // Cleanup 166 free(rows); 167 free(cols); 168 CeedVectorDestroy(&values); 169 CeedQFunctionDestroy(&qf_setup); 170 CeedQFunctionDestroy(&qf_diff); 171 CeedOperatorDestroy(&op_setup); 172 CeedOperatorDestroy(&op_diff); 173 CeedElemRestrictionDestroy(&elem_restr_u); 174 CeedElemRestrictionDestroy(&elem_restr_x); 175 CeedElemRestrictionDestroy(&elem_restr_qd_i); 176 CeedBasisDestroy(&basis_u); 177 CeedBasisDestroy(&basis_x); 178 CeedVectorDestroy(&X); 179 CeedVectorDestroy(&q_data); 180 CeedVectorDestroy(&U); 181 CeedVectorDestroy(&V); 182 CeedDestroy(&ceed); 183 return 0; 184 } 185