1 /// @file 2 /// Test full assembly of composite operator (see t538) 3 /// \test Test full assembly of composite operator 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, U, V; 16 CeedInt P = 3, Q = 4, dim = 2; 17 CeedInt nx = 3, ny = 2; 18 CeedInt nelem = nx * ny; 19 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 20 CeedInt indx[nelem*P*P]; 21 CeedScalar assembled[ndofs*ndofs]; 22 CeedScalar x[dim*ndofs], assembledTrue[ndofs*ndofs]; 23 CeedScalar *u; 24 const CeedScalar *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 Vectors 38 CeedVectorCreate(ceed, nqpts, &qdataMass); 39 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdataDiff); 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, nelem, P*P, dim, ndofs, dim*ndofs, 54 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 55 56 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 57 CEED_USE_POINTER, indx, &Erestrictu); 58 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 59 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 60 &Erestrictui); 61 62 CeedInt stridesqdMass[3] = {1, Q*Q, Q*Q}; 63 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, 64 stridesqdMass, &ErestrictqiMass); 65 CeedInt stridesqdDiff[3] = {1, Q*Q, Q*Q*dim*(dim+1)/2}; /* *NOPAD* */ 66 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 67 dim*(dim+1)/2*nqpts, 68 stridesqdDiff, &ErestrictqiDiff); 69 70 // Bases 71 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 72 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 73 74 // QFunction - setup mass 75 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setupMass); 76 77 // Operator - setup mass 78 CeedOperatorCreate(ceed, qf_setupMass, CEED_QFUNCTION_NONE, 79 CEED_QFUNCTION_NONE, &op_setupMass); 80 CeedOperatorSetField(op_setupMass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setupMass, "weights", CEED_ELEMRESTRICTION_NONE, bx, 82 CEED_VECTOR_NONE); 83 CeedOperatorSetField(op_setupMass, "qdata", ErestrictqiMass, 84 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 85 86 // QFunction - setup diffusion 87 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setupDiff); 88 89 // Operator - setup diffusion 90 CeedOperatorCreate(ceed, qf_setupDiff, CEED_QFUNCTION_NONE, 91 CEED_QFUNCTION_NONE, &op_setupDiff); 92 CeedOperatorSetField(op_setupDiff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 93 CeedOperatorSetField(op_setupDiff, "weights", CEED_ELEMRESTRICTION_NONE, bx, 94 CEED_VECTOR_NONE); 95 CeedOperatorSetField(op_setupDiff, "qdata", ErestrictqiDiff, 96 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 97 98 // Apply Setup Operators 99 CeedOperatorApply(op_setupMass, X, qdataMass, CEED_REQUEST_IMMEDIATE); 100 CeedOperatorApply(op_setupDiff, X, qdataDiff, CEED_REQUEST_IMMEDIATE); 101 102 // QFunction - apply mass 103 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass); 104 105 // Operator - apply mass 106 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 107 &op_mass); 108 CeedOperatorSetField(op_mass, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 109 CeedOperatorSetField(op_mass, "qdata", ErestrictqiMass, CEED_BASIS_COLLOCATED, 110 qdataMass); 111 CeedOperatorSetField(op_mass, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 112 113 // QFunction - apply diff 114 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff); 115 116 // Operator - apply 117 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 118 &op_diff); 119 CeedOperatorSetField(op_diff, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 120 CeedOperatorSetField(op_diff, "qdata", ErestrictqiDiff, CEED_BASIS_COLLOCATED, 121 qdataDiff); 122 CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 123 124 // Composite operator 125 CeedCompositeOperatorCreate(ceed, &op_apply); 126 CeedCompositeOperatorAddSub(op_apply, op_mass); 127 CeedCompositeOperatorAddSub(op_apply, op_diff); 128 129 // Fully assemble operator 130 for (int k=0; k<ndofs*ndofs; ++k) { 131 assembled[k] = 0.0; 132 assembledTrue[k] = 0.0; 133 } 134 CeedInt nentries; 135 CeedInt *rows; 136 CeedInt *cols; 137 CeedVector values; 138 CeedOperatorLinearAssembleSymbolic(op_apply, &nentries, &rows, &cols); 139 CeedVectorCreate(ceed, nentries, &values); 140 CeedOperatorLinearAssemble(op_apply, values); 141 const CeedScalar *vals; 142 CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals); 143 for (int k=0; k<nentries; ++k) { 144 assembled[rows[k]*ndofs + cols[k]] += vals[k]; 145 } 146 CeedVectorRestoreArrayRead(values, &vals); 147 148 // Manually assemble diagonal 149 CeedVectorCreate(ceed, ndofs, &U); 150 CeedVectorSetValue(U, 0.0); 151 CeedVectorCreate(ceed, ndofs, &V); 152 for (int i=0; i<ndofs; i++) { 153 // Set input 154 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 155 u[i] = 1.0; 156 if (i) 157 u[i-1] = 0.0; 158 CeedVectorRestoreArray(U, &u); 159 160 // Compute entries for column i 161 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 162 163 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 164 for (int k=0; k<ndofs; k++) { 165 assembledTrue[i*ndofs + k] = v[k]; 166 } 167 CeedVectorRestoreArrayRead(V, &v); 168 } 169 170 // Check output 171 for (int i=0; i<ndofs; i++) 172 for (int j=0; j<ndofs; j++) 173 if (fabs(assembled[j*ndofs+i] - assembledTrue[j*ndofs+i]) > 1e-14) 174 // LCOV_EXCL_START 175 printf("[%d,%d] Error in assembly: %f != %f\n", i, j, 176 assembled[j*ndofs+i], assembledTrue[j*ndofs+i]); 177 // LCOV_EXCL_STOP 178 179 // Cleanup 180 free(rows); 181 free(cols); 182 CeedVectorDestroy(&values); 183 CeedQFunctionDestroy(&qf_setupMass); 184 CeedQFunctionDestroy(&qf_setupDiff); 185 CeedQFunctionDestroy(&qf_diff); 186 CeedQFunctionDestroy(&qf_mass); 187 CeedOperatorDestroy(&op_setupMass); 188 CeedOperatorDestroy(&op_setupDiff); 189 CeedOperatorDestroy(&op_mass); 190 CeedOperatorDestroy(&op_diff); 191 CeedOperatorDestroy(&op_apply); 192 CeedElemRestrictionDestroy(&Erestrictu); 193 CeedElemRestrictionDestroy(&Erestrictx); 194 CeedElemRestrictionDestroy(&Erestrictui); 195 CeedElemRestrictionDestroy(&ErestrictqiMass); 196 CeedElemRestrictionDestroy(&ErestrictqiDiff); 197 CeedBasisDestroy(&bu); 198 CeedBasisDestroy(&bx); 199 CeedVectorDestroy(&X); 200 CeedVectorDestroy(&qdataMass); 201 CeedVectorDestroy(&qdataDiff); 202 CeedVectorDestroy(&U); 203 CeedVectorDestroy(&V); 204 CeedDestroy(&ceed); 205 return 0; 206 } 207