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 CeedInterlaceMode imode = CEED_NONINTERLACED; 12 CeedElemRestriction Erestrictx, Erestrictu, 13 Erestrictxi, Erestrictui, 14 Erestrictqi; 15 CeedBasis bx, bu; 16 CeedQFunction qf_setup, qf_diff; 17 CeedOperator op_setup, op_diff; 18 CeedVector qdata, X, A, U, V; 19 CeedInt nelem = 6, P = 3, Q = 4, dim = 2; 20 CeedInt nx = 3, ny = 2; 21 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 22 CeedInt indx[nelem*P*P]; 23 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 24 CeedScalar *u; 25 const CeedScalar *a, *v; 26 27 CeedInit(argv[1], &ceed); 28 29 // DoF Coordinates 30 for (CeedInt i=0; i<nx*2+1; i++) 31 for (CeedInt j=0; j<ny*2+1; j++) { 32 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 33 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 34 } 35 CeedVectorCreate(ceed, dim*ndofs, &X); 36 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 37 38 // Qdata Vector 39 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 40 41 // Element Setup 42 for (CeedInt i=0; i<nelem; i++) { 43 CeedInt col, row, offset; 44 col = i % nx; 45 row = i / nx; 46 offset = col*(P-1) + row*(nx*2+1)*(P-1); 47 for (CeedInt j=0; j<P; j++) 48 for (CeedInt k=0; k<P; k++) 49 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 50 } 51 52 // Restrictions 53 CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST, 54 CEED_USE_POINTER, indx, &Erestrictx); 55 CeedInt stridesx[3] = {1, P*P, P *P*dim}; 56 CeedElemRestrictionCreateStrided(ceed, nelem, P*P, nelem*P*P, dim, stridesx, 57 &Erestrictxi); 58 59 CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 60 CEED_USE_POINTER, indx, &Erestrictu); 61 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 62 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu, 63 &Erestrictui); 64 65 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 66 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2, 67 stridesqd, &Erestrictqi); 68 69 // Bases 70 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 71 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 72 73 // QFunction - setup 74 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 75 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 76 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 77 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 78 79 // Operator - setup 80 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 81 &op_setup); 82 CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup, "_weight", Erestrictxi, bx, CEED_VECTOR_NONE); 84 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 85 CEED_VECTOR_ACTIVE); 86 87 // Apply Setup Operator 88 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 89 90 // QFunction - apply 91 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 92 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 93 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 94 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 95 96 // Operator - apply 97 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 98 &op_diff); 99 CeedOperatorSetField(op_diff, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 100 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 101 qdata); 102 CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 103 104 // Assemble diagonal 105 CeedOperatorAssembleLinearDiagonal(op_diff, &A, CEED_REQUEST_IMMEDIATE); 106 107 // Manually assemble diagonal 108 CeedVectorCreate(ceed, ndofs, &U); 109 CeedVectorSetValue(U, 0.0); 110 CeedVectorCreate(ceed, ndofs, &V); 111 for (int i=0; i<ndofs; i++) { 112 // Set input 113 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 114 u[i] = 1.0; 115 if (i) 116 u[i-1] = 0.0; 117 CeedVectorRestoreArray(U, &u); 118 119 // Compute diag entry for DoF i 120 CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE); 121 122 // Retrieve entry 123 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 124 assembledTrue[i] = v[i]; 125 CeedVectorRestoreArrayRead(V, &v); 126 } 127 128 // Check output 129 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 130 for (int i=0; i<ndofs; i++) 131 if (fabs(a[i] - assembledTrue[i]) > 1e-13) 132 // LCOV_EXCL_START 133 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 134 // LCOV_EXCL_STOP 135 136 // Cleanup 137 CeedQFunctionDestroy(&qf_setup); 138 CeedQFunctionDestroy(&qf_diff); 139 CeedOperatorDestroy(&op_setup); 140 CeedOperatorDestroy(&op_diff); 141 CeedElemRestrictionDestroy(&Erestrictu); 142 CeedElemRestrictionDestroy(&Erestrictx); 143 CeedElemRestrictionDestroy(&Erestrictui); 144 CeedElemRestrictionDestroy(&Erestrictxi); 145 CeedElemRestrictionDestroy(&Erestrictqi); 146 CeedBasisDestroy(&bu); 147 CeedBasisDestroy(&bx); 148 CeedVectorDestroy(&X); 149 CeedVectorDestroy(&A); 150 CeedVectorDestroy(&qdata); 151 CeedVectorDestroy(&U); 152 CeedVectorDestroy(&V); 153 CeedDestroy(&ceed); 154 return 0; 155 } 156