1 /// @file 2 /// Test creation and use of FDM element inverse 3 /// \test Test creation and use of FDM element inverse 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t540-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x_i, elem_restr_u_i, elem_restr_qd_i; 12 CeedBasis basis_x, basis_u; 13 CeedQFunction qf_setup_mass, qf_apply; 14 CeedOperator op_setup_mass, op_apply, op_inv; 15 CeedVector q_data_mass, X, U, V; 16 CeedInt num_elem = 1, P = 4, Q = 5, dim = 2; 17 CeedInt num_dofs = P*P, num_qpts = num_elem*Q*Q; 18 CeedScalar x[dim*num_elem*(2*2)]; 19 const CeedScalar *u; 20 21 CeedInit(argv[1], &ceed); 22 23 // DoF Coordinates 24 for (CeedInt i=0; i<2; i++) 25 for (CeedInt j=0; j<2; j++) { 26 x[i+j*2+0*4] = i; 27 x[i+j*2+1*4] = j; 28 } 29 CeedVectorCreate(ceed, dim*num_elem*(2*2), &X); 30 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 31 32 // Qdata Vector 33 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 34 35 // Element Setup 36 37 // Restrictions 38 CeedInt strides_x[3] = {1, 2*2, 2*2*dim}; 39 CeedElemRestrictionCreateStrided(ceed, num_elem, 2*2, dim, dim*num_elem*2*2, 40 strides_x, &elem_restr_x_i); 41 42 CeedInt strides_u[3] = {1, P*P, P*P}; 43 CeedElemRestrictionCreateStrided(ceed, num_elem, P*P, 1, num_dofs, strides_u, 44 &elem_restr_u_i); 45 46 CeedInt strides_qd[3] = {1, Q*Q, Q*Q}; 47 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, strides_qd, 48 &elem_restr_qd_i); 49 50 // Bases 51 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, Q, CEED_GAUSS, &basis_x); 52 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 53 54 // QFunction - setup mass 55 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 56 &qf_setup_mass); 57 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 58 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 59 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 60 61 // Operator - setup mass 62 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 63 CEED_QFUNCTION_NONE, &op_setup_mass); 64 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x_i, basis_x, 65 CEED_VECTOR_ACTIVE); 66 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, 67 basis_x, CEED_VECTOR_NONE); 68 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_i, 69 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 70 71 // Apply Setup Operator 72 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 73 74 // QFunction - apply 75 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 76 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 77 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 78 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 79 80 // Operator - apply 81 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 82 &op_apply); 83 CeedOperatorSetField(op_apply, "u", elem_restr_u_i, basis_u, 84 CEED_VECTOR_ACTIVE); 85 CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_i, 86 CEED_BASIS_COLLOCATED, q_data_mass); 87 CeedOperatorSetField(op_apply, "v", elem_restr_u_i, basis_u, 88 CEED_VECTOR_ACTIVE); 89 90 // Apply original operator 91 CeedVectorCreate(ceed, num_dofs, &U); 92 CeedVectorSetValue(U, 1.0); 93 CeedVectorCreate(ceed, num_dofs, &V); 94 CeedVectorSetValue(V, 0.0); 95 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 96 97 // Create FDM element inverse 98 CeedOperatorCreateFDMElementInverse(op_apply, &op_inv, CEED_REQUEST_IMMEDIATE); 99 100 // Apply FDM element inverse 101 CeedOperatorApply(op_inv, V, U, CEED_REQUEST_IMMEDIATE); 102 103 // Check output 104 CeedVectorGetArrayRead(U, CEED_MEM_HOST, &u); 105 for (int i=0; i<num_dofs; i++) 106 if (fabs(u[i] - 1.0) > 5e-14) 107 // LCOV_EXCL_START 108 printf("[%d] Error in inverse: %e - 1.0 = %e\n", i, u[i], u[i] - 1.); 109 // LCOV_EXCL_STOP 110 CeedVectorRestoreArrayRead(U, &u); 111 112 // Cleanup 113 CeedQFunctionDestroy(&qf_setup_mass); 114 CeedQFunctionDestroy(&qf_apply); 115 CeedOperatorDestroy(&op_setup_mass); 116 CeedOperatorDestroy(&op_apply); 117 CeedOperatorDestroy(&op_inv); 118 CeedElemRestrictionDestroy(&elem_restr_u_i); 119 CeedElemRestrictionDestroy(&elem_restr_x_i); 120 CeedElemRestrictionDestroy(&elem_restr_qd_i); 121 CeedBasisDestroy(&basis_u); 122 CeedBasisDestroy(&basis_x); 123 CeedVectorDestroy(&X); 124 CeedVectorDestroy(&q_data_mass); 125 CeedVectorDestroy(&U); 126 CeedVectorDestroy(&V); 127 CeedDestroy(&ceed); 128 return 0; 129 } 130