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 "t534-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction Erestrictx, Erestrictu, 12 Erestrictxi, Erestrictui, 13 Erestrictqi; 14 CeedBasis bx, bu; 15 CeedQFunction qf_setup, qf_diff; 16 CeedOperator op_setup, op_diff; 17 CeedVector qdata, X, A, U, V; 18 CeedInt nelem = 6, P = 3, Q = 4, dim = 2; 19 CeedInt nx = 3, ny = 2; 20 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 21 CeedInt indx[nelem*P*P]; 22 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 23 CeedScalar *u; 24 const CeedScalar *a, *v; 25 26 CeedInit(argv[1], &ceed); 27 28 // DoF Coordinates 29 for (CeedInt i=0; i<nx*2+1; i++) 30 for (CeedInt j=0; j<ny*2+1; j++) { 31 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 32 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 33 } 34 CeedVectorCreate(ceed, dim*ndofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vector 38 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 39 40 // Element Setup 41 for (CeedInt i=0; i<nelem; i++) { 42 CeedInt col, row, offset; 43 col = i % nx; 44 row = i / nx; 45 offset = col*(P-1) + row*(nx*2+1)*(P-1); 46 for (CeedInt j=0; j<P; j++) 47 for (CeedInt k=0; k<P; k++) 48 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 49 } 50 51 // Restrictions 52 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, dim, CEED_MEM_HOST, 53 CEED_USE_POINTER, indx, &Erestrictx); 54 CeedElemRestrictionCreateIdentity(ceed, nelem, P*P, nelem*P*P, dim, 55 &Erestrictxi); 56 57 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 58 CEED_USE_POINTER, indx, &Erestrictu); 59 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, 1, &Erestrictui); 60 61 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2, 62 &Erestrictqi); 63 64 // Bases 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 67 68 // QFunction - setup 69 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 70 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 72 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 73 74 // Operator - setup 75 CeedOperatorCreate(ceed, qf_setup, NULL, NULL, &op_setup); 76 CeedOperatorSetField(op_setup, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 77 CEED_VECTOR_ACTIVE); 78 CeedOperatorSetField(op_setup, "_weight", Erestrictxi, CEED_NOTRANSPOSE, bx, 79 CEED_VECTOR_NONE); 80 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 81 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 82 83 // Apply Setup Operator 84 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 85 86 // QFunction - apply 87 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 88 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 89 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 90 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 91 92 // Operator - apply 93 CeedOperatorCreate(ceed, qf_diff, NULL, NULL, &op_diff); 94 CeedOperatorSetField(op_diff, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 95 CEED_VECTOR_ACTIVE); 96 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 97 CEED_BASIS_COLLOCATED, qdata); 98 CeedOperatorSetField(op_diff, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 99 CEED_VECTOR_ACTIVE); 100 101 // Assemble diagonal 102 CeedOperatorAssembleLinearDiagonal(op_diff, &A, CEED_REQUEST_IMMEDIATE); 103 104 // Manually assemble diagonal 105 CeedVectorCreate(ceed, ndofs, &U); 106 CeedVectorSetValue(U, 0.0); 107 CeedVectorCreate(ceed, ndofs, &V); 108 for (int i=0; i<ndofs; i++) { 109 // Set input 110 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 111 u[i] = 1.0; 112 if (i) 113 u[i-1] = 0.0; 114 CeedVectorRestoreArray(U, &u); 115 116 // Compute diag entry for DoF i 117 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 118 119 // Retrieve entry 120 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 121 assembledTrue[i] = v[i]; 122 CeedVectorRestoreArrayRead(V, &v); 123 } 124 125 // Check output 126 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 127 for (int i=0; i<ndofs; i++) 128 if (fabs(a[i] - assembledTrue[i]) > 1e-14) 129 // LCOV_EXCL_START 130 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 131 // LCOV_EXCL_STOP 132 133 // Cleanup 134 CeedQFunctionDestroy(&qf_setup); 135 CeedQFunctionDestroy(&qf_diff); 136 CeedOperatorDestroy(&op_setup); 137 CeedOperatorDestroy(&op_diff); 138 CeedElemRestrictionDestroy(&Erestrictu); 139 CeedElemRestrictionDestroy(&Erestrictx); 140 CeedElemRestrictionDestroy(&Erestrictui); 141 CeedElemRestrictionDestroy(&Erestrictxi); 142 CeedElemRestrictionDestroy(&Erestrictqi); 143 CeedBasisDestroy(&bu); 144 CeedBasisDestroy(&bx); 145 CeedVectorDestroy(&X); 146 CeedVectorDestroy(&A); 147 CeedVectorDestroy(&qdata); 148 CeedVectorDestroy(&U); 149 CeedVectorDestroy(&V); 150 CeedDestroy(&ceed); 151 return 0; 152 } 153