1 /// @file 2 /// Test assembly of Poisson operator QFunction 3 /// \test Test assembly of Poisson operator QFunction 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t531-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, elem_restr_lin_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_diff, qf_diff_lin; 15 CeedOperator op_setup, op_diff, op_diff_lin; 16 CeedVector q_data, X, A, u, v; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs = (nx*2+1)*(ny*2+1), num_qpts = num_elem*Q*Q; 20 CeedInt ind_x[num_elem*P*P]; 21 CeedScalar x[dim*num_dofs]; 22 23 CeedInit(argv[1], &ceed); 24 25 // DoF Coordinates 26 for (CeedInt i=0; i<nx*2+1; i++) 27 for (CeedInt j=0; j<ny*2+1; j++) { 28 x[i+j*(nx*2+1)+0*num_dofs] = (CeedScalar) i / (2*nx); 29 x[i+j*(nx*2+1)+1*num_dofs] = (CeedScalar) j / (2*ny); 30 } 31 CeedVectorCreate(ceed, dim*num_dofs, &X); 32 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 33 34 // Qdata Vector 35 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data); 36 37 // Element Setup 38 for (CeedInt i=0; i<num_elem; i++) { 39 CeedInt col, row, offset; 40 col = i % nx; 41 row = i / nx; 42 offset = col*(P-1) + row*(nx*2+1)*(P-1); 43 for (CeedInt j=0; j<P; j++) 44 for (CeedInt k=0; k<P; k++) 45 ind_x[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 46 } 47 48 // Restrictions 49 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 50 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 51 52 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 53 CEED_USE_POINTER, ind_x, &elem_restr_u); 54 CeedInt strides_qd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 56 dim*(dim+1)/2*num_qpts, strides_qd, 57 &elem_restr_qd_i); 58 59 // Bases 60 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 62 63 // QFunction - setup 64 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 65 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 66 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 67 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 68 69 // Operator - setup 70 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 71 &op_setup); 72 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 73 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x, 74 CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 76 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, "qdata", 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, 89 &op_diff); 90 CeedOperatorSetField(op_diff, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_diff, "qdata", elem_restr_qd_i, CEED_BASIS_COLLOCATED, 92 q_data); 93 CeedOperatorSetField(op_diff, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 94 95 // Apply original Poisson Operator 96 CeedVectorCreate(ceed, num_dofs, &u); 97 CeedVectorSetValue(u, 1.0); 98 CeedVectorCreate(ceed, num_dofs, &v); 99 CeedVectorSetValue(v, 0.0); 100 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 101 102 // Check output 103 const CeedScalar *vv; 104 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 105 for (CeedInt i=0; i<num_dofs; i++) 106 if (fabs(vv[i]) > 1e-14) 107 // LCOV_EXCL_START 108 printf("Error: Operator computed v[i] = %f != 0.0\n", vv[i]); 109 // LCOV_EXCL_STOP 110 CeedVectorRestoreArrayRead(v, &vv); 111 112 // Assemble QFunction 113 CeedOperatorLinearAssembleQFunction(op_diff, &A, &elem_restr_lin_i, 114 CEED_REQUEST_IMMEDIATE); 115 116 // QFunction - apply assembled 117 CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin); 118 CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD); 119 CeedQFunctionAddInput(qf_diff_lin, "qdata", dim*dim, CEED_EVAL_NONE); 120 CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD); 121 122 // Operator - apply assembled 123 CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE, 124 CEED_QFUNCTION_NONE, &op_diff_lin); 125 CeedOperatorSetField(op_diff_lin, "du", elem_restr_u, basis_u, 126 CEED_VECTOR_ACTIVE); 127 CeedOperatorSetField(op_diff_lin, "qdata", elem_restr_lin_i, 128 CEED_BASIS_COLLOCATED, A); 129 CeedOperatorSetField(op_diff_lin, "dv", elem_restr_u, basis_u, 130 CEED_VECTOR_ACTIVE); 131 132 // Apply new Poisson Operator 133 CeedVectorSetValue(v, 0.0); 134 CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); 135 136 // Check output 137 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 138 for (CeedInt i=0; i<num_dofs; i++) 139 if (fabs(vv[i]) > 1e-14) 140 // LCOV_EXCL_START 141 printf("Error: Linearized operator computed v[i] = %f != 0.0\n", vv[i]); 142 // LCOV_EXCL_STOP 143 CeedVectorRestoreArrayRead(v, &vv); 144 145 // Cleanup 146 CeedQFunctionDestroy(&qf_setup); 147 CeedQFunctionDestroy(&qf_diff); 148 CeedQFunctionDestroy(&qf_diff_lin); 149 CeedOperatorDestroy(&op_setup); 150 CeedOperatorDestroy(&op_diff); 151 CeedOperatorDestroy(&op_diff_lin); 152 CeedElemRestrictionDestroy(&elem_restr_u); 153 CeedElemRestrictionDestroy(&elem_restr_x); 154 CeedElemRestrictionDestroy(&elem_restr_qd_i); 155 CeedElemRestrictionDestroy(&elem_restr_lin_i); 156 CeedBasisDestroy(&basis_u); 157 CeedBasisDestroy(&basis_x); 158 CeedVectorDestroy(&X); 159 CeedVectorDestroy(&A); 160 CeedVectorDestroy(&q_data); 161 CeedVectorDestroy(&u); 162 CeedVectorDestroy(&v); 163 CeedDestroy(&ceed); 164 return 0; 165 } 166