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 Erestrictx, Erestrictu, 12 Erestrictui, Erestrictqi; 13 CeedBasis bx, bu; 14 CeedQFunction qf_setup, qf_diff; 15 CeedOperator op_setup, op_diff; 16 CeedVector qdata, X, A, U, V; 17 CeedInt nelem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 20 CeedInt indx[nelem*P*P]; 21 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i=0; i<nx*2+1; i++) 29 for (CeedInt j=0; j<ny*2+1; j++) { 30 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 31 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 32 } 33 CeedVectorCreate(ceed, dim*ndofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vector 37 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 38 39 // Element Setup 40 for (CeedInt i=0; i<nelem; i++) { 41 CeedInt col, row, offset; 42 col = i % nx; 43 row = i / nx; 44 offset = col*(P-1) + row*(nx*2+1)*(P-1); 45 for (CeedInt j=0; j<P; j++) 46 for (CeedInt k=0; k<P; k++) 47 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 52 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 53 54 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 55 CEED_USE_POINTER, indx, &Erestrictu); 56 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 57 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 58 &Erestrictui); 59 60 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 61 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 62 dim*(dim+1)/2*nqpts, 63 stridesqd, &Erestrictqi); 64 65 // Bases 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 68 69 // QFunction - setup 70 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 71 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 72 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 73 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 74 75 // Operator - setup 76 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 77 &op_setup); 78 CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 80 CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 82 CEED_VECTOR_ACTIVE); 83 84 // Apply Setup Operator 85 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 86 87 // QFunction - apply 88 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 89 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 90 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 91 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 92 93 // Operator - apply 94 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 95 &op_diff); 96 CeedOperatorSetField(op_diff, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 97 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 98 qdata); 99 CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 100 101 // Assemble diagonal 102 CeedVectorCreate(ceed, ndofs, &A); 103 CeedOperatorLinearAssembleDiagonal(op_diff, A, CEED_REQUEST_IMMEDIATE); 104 105 // Manually assemble diagonal 106 CeedVectorCreate(ceed, ndofs, &U); 107 CeedVectorSetValue(U, 0.0); 108 CeedVectorCreate(ceed, ndofs, &V); 109 for (int i=0; i<ndofs; i++) { 110 // Set input 111 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 112 u[i] = 1.0; 113 if (i) 114 u[i-1] = 0.0; 115 CeedVectorRestoreArray(U, &u); 116 117 // Compute diag entry for DoF i 118 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 119 120 // Retrieve entry 121 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 122 assembledTrue[i] = v[i]; 123 CeedVectorRestoreArrayRead(V, &v); 124 } 125 126 // Check output 127 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 128 for (int i=0; i<ndofs; i++) 129 if (fabs(a[i] - assembledTrue[i]) > 1e-13) 130 // LCOV_EXCL_START 131 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 132 // LCOV_EXCL_STOP 133 CeedVectorRestoreArrayRead(A, &a); 134 135 // Cleanup 136 CeedQFunctionDestroy(&qf_setup); 137 CeedQFunctionDestroy(&qf_diff); 138 CeedOperatorDestroy(&op_setup); 139 CeedOperatorDestroy(&op_diff); 140 CeedElemRestrictionDestroy(&Erestrictu); 141 CeedElemRestrictionDestroy(&Erestrictx); 142 CeedElemRestrictionDestroy(&Erestrictui); 143 CeedElemRestrictionDestroy(&Erestrictqi); 144 CeedBasisDestroy(&bu); 145 CeedBasisDestroy(&bx); 146 CeedVectorDestroy(&X); 147 CeedVectorDestroy(&A); 148 CeedVectorDestroy(&qdata); 149 CeedVectorDestroy(&U); 150 CeedVectorDestroy(&V); 151 CeedDestroy(&ceed); 152 return 0; 153 } 154