1 /// @file 2 /// Test assembly of Poisson operator diagonal 3 /// \test Test assembly of Poisson operator diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t534-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, 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 Vector 37 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data); 38 39 // Element Setup 40 for (CeedInt i=0; i<num_elem; i++) { 41 CeedInt col, row, offset; 42 col = i % n_x; 43 row = i / n_x; 44 offset = col*(P-1) + row*(n_x*2+1)*(P-1); 45 for (CeedInt j=0; j<P; j++) 46 for (CeedInt k=0; k<P; k++) 47 ind_x[P*(P*i+k)+j] = offset + k*(n_x*2+1) + j; 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 52 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 53 54 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 55 CEED_USE_POINTER, ind_x, &elem_restr_u); 56 CeedInt strides_qd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 58 dim*(dim+1)/2*num_qpts, 59 strides_qd, &elem_restr_qd_i); 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, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 70 71 // Operator - setup 72 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 73 &op_setup); 74 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 75 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x, 76 CEED_VECTOR_NONE); 77 CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 78 CEED_VECTOR_ACTIVE); 79 80 // Apply Setup Operator 81 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 82 83 // QFunction - apply 84 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 85 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 86 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 87 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 88 89 // Operator - apply 90 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 91 &op_diff); 92 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 93 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 94 q_data); 95 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 96 97 // Assemble diagonal 98 CeedVectorCreate(ceed, num_dofs, &A); 99 CeedOperatorLinearAssembleDiagonal(op_diff, A, CEED_REQUEST_IMMEDIATE); 100 101 // Manually assemble diagonal 102 CeedVectorCreate(ceed, num_dofs, &U); 103 CeedVectorSetValue(U, 0.0); 104 CeedVectorCreate(ceed, num_dofs, &V); 105 for (int i=0; i<num_dofs; i++) { 106 // Set input 107 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 108 u[i] = 1.0; 109 if (i) 110 u[i-1] = 0.0; 111 CeedVectorRestoreArray(U, &u); 112 113 // Compute diag entry for DoF i 114 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 115 116 // Retrieve entry 117 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 118 assembled_true[i] = v[i]; 119 CeedVectorRestoreArrayRead(V, &v); 120 } 121 122 // Check output 123 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 124 for (int i=0; i<num_dofs; i++) 125 if (fabs(a[i] - assembled_true[i]) > 1e-13) 126 // LCOV_EXCL_START 127 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 128 // LCOV_EXCL_STOP 129 CeedVectorRestoreArrayRead(A, &a); 130 131 // Cleanup 132 CeedQFunctionDestroy(&qf_setup); 133 CeedQFunctionDestroy(&qf_diff); 134 CeedOperatorDestroy(&op_setup); 135 CeedOperatorDestroy(&op_diff); 136 CeedElemRestrictionDestroy(&elem_restr_u); 137 CeedElemRestrictionDestroy(&elem_restr_x); 138 CeedElemRestrictionDestroy(&elem_restr_qd_i); 139 CeedBasisDestroy(&basis_u); 140 CeedBasisDestroy(&basis_x); 141 CeedVectorDestroy(&X); 142 CeedVectorDestroy(&A); 143 CeedVectorDestroy(&q_data); 144 CeedVectorDestroy(&U); 145 CeedVectorDestroy(&V); 146 CeedDestroy(&ceed); 147 return 0; 148 } 149