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 Erestrictxi, Erestrictui, Erestrictqi; 12 CeedBasis bx, bu; 13 CeedQFunction qf_setup_mass, qf_apply; 14 CeedOperator op_setup_mass, op_apply, op_inv; 15 CeedVector qdata_mass, X, U, V; 16 CeedInt nelem = 1, P = 4, Q = 5, dim = 2; 17 CeedInt ndofs = P*P, nqpts = nelem*Q*Q; 18 CeedScalar x[dim*nelem*(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*nelem*(2*2), &X); 30 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 31 32 // Qdata Vector 33 CeedVectorCreate(ceed, nqpts, &qdata_mass); 34 35 // Element Setup 36 37 // Restrictions 38 CeedInt stridesx[3] = {1, 2*2, 2*2*dim}; 39 CeedElemRestrictionCreateStrided(ceed, nelem, 2*2, nelem*2*2, dim, stridesx, 40 &Erestrictxi); 41 42 CeedInt stridesu[3] = {1, P*P, P*P}; 43 CeedElemRestrictionCreateStrided(ceed, nelem, P*P, ndofs, 1, stridesu, 44 &Erestrictui); 45 46 CeedInt stridesq[3] = {1, Q*Q, Q*Q}; 47 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesq, 48 &Erestrictqi); 49 50 // Bases 51 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, Q, CEED_GAUSS, &bx); 52 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 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", Erestrictxi, bx, 65 CEED_VECTOR_ACTIVE); 66 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 67 CEED_VECTOR_NONE); 68 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictqi, 69 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 70 71 // Apply Setup Operator 72 CeedOperatorApply(op_setup_mass, X, qdata_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", Erestrictui, bu, CEED_VECTOR_ACTIVE); 84 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictqi, 85 CEED_BASIS_COLLOCATED, qdata_mass); 86 CeedOperatorSetField(op_apply, "v", Erestrictui, bu, CEED_VECTOR_ACTIVE); 87 88 // Apply original operator 89 CeedVectorCreate(ceed, ndofs, &U); 90 CeedVectorSetValue(U, 1.0); 91 CeedVectorCreate(ceed, ndofs, &V); 92 CeedVectorSetValue(V, 0.0); 93 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 94 95 // Create FDM element inverse 96 CeedOperatorCreateFDMElementInverse(op_apply, &op_inv, CEED_REQUEST_IMMEDIATE); 97 98 // Apply FDM element inverse 99 CeedOperatorApply(op_inv, V, U, CEED_REQUEST_IMMEDIATE); 100 101 // Check output 102 CeedVectorGetArrayRead(U, CEED_MEM_HOST, &u); 103 for (int i=0; i<ndofs; i++) 104 if (fabs(u[i] - 1.0) > 5e-14) 105 // LCOV_EXCL_START 106 printf("[%d] Error in inverse: %e - 1.0 = %e\n", i, u[i], u[i] - 1.); 107 // LCOV_EXCL_STOP 108 CeedVectorRestoreArrayRead(U, &u); 109 110 // Cleanup 111 CeedQFunctionDestroy(&qf_setup_mass); 112 CeedQFunctionDestroy(&qf_apply); 113 CeedOperatorDestroy(&op_setup_mass); 114 CeedOperatorDestroy(&op_apply); 115 CeedOperatorDestroy(&op_inv); 116 CeedElemRestrictionDestroy(&Erestrictui); 117 CeedElemRestrictionDestroy(&Erestrictxi); 118 CeedElemRestrictionDestroy(&Erestrictqi); 119 CeedBasisDestroy(&bu); 120 CeedBasisDestroy(&bx); 121 CeedVectorDestroy(&X); 122 CeedVectorDestroy(&qdata_mass); 123 CeedVectorDestroy(&U); 124 CeedVectorDestroy(&V); 125 CeedDestroy(&ceed); 126 return 0; 127 } 128