1 /// @file 2 /// Test assembly of composite operator diagonal 3 /// \test Test assembly of composite operator diagonal 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 8 int main(int argc, char **argv) { 9 Ceed ceed; 10 CeedElemRestriction Erestrictx, Erestrictu, 11 Erestrictui, ErestrictqiMass, ErestrictqiDiff; 12 CeedBasis bx, bu; 13 CeedQFunction qf_setupMass, qf_mass, qf_setupDiff, qf_diff; 14 CeedOperator op_setupMass, op_mass, op_setupDiff, op_diff, op_apply; 15 CeedVector qdataMass, qdataDiff, X, A, U, V; 16 CeedInt nelem = 6, P = 3, Q = 4, dim = 2; 17 CeedInt nx = 3, ny = 2; 18 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 19 CeedInt indx[nelem*P*P]; 20 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 21 CeedScalar *u; 22 const CeedScalar *a, *v; 23 24 CeedInit(argv[1], &ceed); 25 26 // DoF Coordinates 27 for (CeedInt i=0; i<nx*2+1; i++) 28 for (CeedInt j=0; j<ny*2+1; j++) { 29 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 30 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 31 } 32 CeedVectorCreate(ceed, dim*ndofs, &X); 33 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 34 35 // Qdata Vectors 36 CeedVectorCreate(ceed, nqpts, &qdataMass); 37 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdataDiff); 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 stridesqdMass[3] = {1, Q*Q, Q*Q}; 61 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, 62 stridesqdMass, &ErestrictqiMass); 63 CeedInt stridesqdDiff[3] = {1, Q*Q, Q*Q*dim*(dim+1)/2}; /* *NOPAD* */ 64 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 65 dim*(dim+1)/2*nqpts, 66 stridesqdDiff, &ErestrictqiDiff); 67 68 // Bases 69 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 70 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 71 72 // QFunction - setup mass 73 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setupMass); 74 75 // Operator - setup mass 76 CeedOperatorCreate(ceed, qf_setupMass, CEED_QFUNCTION_NONE, 77 CEED_QFUNCTION_NONE, &op_setupMass); 78 CeedOperatorSetField(op_setupMass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setupMass, "weights", CEED_ELEMRESTRICTION_NONE, bx, 80 CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setupMass, "qdata", ErestrictqiMass, 82 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 83 84 // QFunction - setup diffusion 85 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setupDiff); 86 87 // Operator - setup diffusion 88 CeedOperatorCreate(ceed, qf_setupDiff, CEED_QFUNCTION_NONE, 89 CEED_QFUNCTION_NONE, &op_setupDiff); 90 CeedOperatorSetField(op_setupDiff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_setupDiff, "weights", CEED_ELEMRESTRICTION_NONE, bx, 92 CEED_VECTOR_NONE); 93 CeedOperatorSetField(op_setupDiff, "qdata", ErestrictqiDiff, 94 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 95 96 // Apply Setup Operators 97 CeedOperatorApply(op_setupMass, X, qdataMass, CEED_REQUEST_IMMEDIATE); 98 CeedOperatorApply(op_setupDiff, X, qdataDiff, CEED_REQUEST_IMMEDIATE); 99 100 // QFunction - apply mass 101 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 102 103 // Operator - apply mass 104 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 105 &op_mass); 106 CeedOperatorSetField(op_mass, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 107 CeedOperatorSetField(op_mass, "qdata", ErestrictqiMass, CEED_BASIS_COLLOCATED, 108 qdataMass); 109 CeedOperatorSetField(op_mass, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 110 111 // QFunction - apply diff 112 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 113 114 // Operator - apply 115 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 116 &op_diff); 117 CeedOperatorSetField(op_diff, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 118 CeedOperatorSetField(op_diff, "qdata", ErestrictqiDiff, CEED_BASIS_COLLOCATED, 119 qdataDiff); 120 CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 121 122 // Composite operator 123 CeedCompositeOperatorCreate(ceed, &op_apply); 124 CeedCompositeOperatorAddSub(op_apply, op_mass); 125 CeedCompositeOperatorAddSub(op_apply, op_diff); 126 127 // Assemble diagonal 128 CeedVectorCreate(ceed, ndofs, &A); 129 CeedOperatorLinearAssembleDiagonal(op_apply, A, CEED_REQUEST_IMMEDIATE); 130 131 // Manually assemble diagonal 132 CeedVectorCreate(ceed, ndofs, &U); 133 CeedVectorSetValue(U, 0.0); 134 CeedVectorCreate(ceed, ndofs, &V); 135 for (int i=0; i<ndofs; i++) { 136 // Set input 137 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 138 u[i] = 1.0; 139 if (i) 140 u[i-1] = 0.0; 141 CeedVectorRestoreArray(U, &u); 142 143 // Compute diag entry for DoF i 144 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 145 146 // Retrieve entry 147 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 148 assembledTrue[i] = v[i]; 149 CeedVectorRestoreArrayRead(V, &v); 150 } 151 152 // Check output 153 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 154 for (int i=0; i<ndofs; i++) 155 if (fabs(a[i] - assembledTrue[i]) > 1e-13) 156 // LCOV_EXCL_START 157 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 158 // LCOV_EXCL_STOP 159 CeedVectorRestoreArrayRead(A, &a); 160 161 // Cleanup 162 CeedQFunctionDestroy(&qf_setupMass); 163 CeedQFunctionDestroy(&qf_setupDiff); 164 CeedQFunctionDestroy(&qf_diff); 165 CeedQFunctionDestroy(&qf_mass); 166 CeedOperatorDestroy(&op_setupMass); 167 CeedOperatorDestroy(&op_setupDiff); 168 CeedOperatorDestroy(&op_mass); 169 CeedOperatorDestroy(&op_diff); 170 CeedOperatorDestroy(&op_apply); 171 CeedElemRestrictionDestroy(&Erestrictu); 172 CeedElemRestrictionDestroy(&Erestrictx); 173 CeedElemRestrictionDestroy(&Erestrictui); 174 CeedElemRestrictionDestroy(&ErestrictqiMass); 175 CeedElemRestrictionDestroy(&ErestrictqiDiff); 176 CeedBasisDestroy(&bu); 177 CeedBasisDestroy(&bx); 178 CeedVectorDestroy(&X); 179 CeedVectorDestroy(&A); 180 CeedVectorDestroy(&qdataMass); 181 CeedVectorDestroy(&qdataDiff); 182 CeedVectorDestroy(&U); 183 CeedVectorDestroy(&V); 184 CeedDestroy(&ceed); 185 return 0; 186 } 187