1 /// @file 2 /// Test full assembly of mass and Poisson operator (see t535) 3 /// \test Test full assembly of mass and Poisson operator 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t535-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_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector qdata_mass, qdata_diff, X, U, V; 17 CeedInt P = 3, Q = 4, dim = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt nelem = nx * ny; 20 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 21 CeedInt indx[nelem*P*P]; 22 CeedScalar assembled[ndofs*ndofs]; 23 CeedScalar x[dim*ndofs], assembledTrue[ndofs*ndofs]; 24 CeedScalar *u; 25 const CeedScalar *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 Vectors 39 CeedVectorCreate(ceed, nqpts, &qdata_mass); 40 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 41 42 // Element Setup 43 for (CeedInt i=0; i<nelem; i++) { 44 CeedInt col, row, offset; 45 col = i % nx; 46 row = i / nx; 47 offset = col*(P-1) + row*(nx*2+1)*(P-1); 48 for (CeedInt j=0; j<P; j++) 49 for (CeedInt k=0; k<P; k++) 50 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 51 } 52 53 // Restrictions 54 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 55 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 56 57 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 58 CEED_USE_POINTER, indx, &Erestrictu); 59 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 60 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 61 &Erestrictui); 62 63 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 64 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 65 dim*(dim+1)/2*nqpts, 66 stridesqd, &Erestrictqi); 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 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 74 &qf_setup_mass); 75 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 76 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 77 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 78 79 // Operator - setup mass 80 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 81 CEED_QFUNCTION_NONE, &op_setup_mass); 82 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 84 CEED_VECTOR_NONE); 85 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, 86 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 87 88 // QFunction - setup diff 89 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 90 &qf_setup_diff); 91 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 92 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 93 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 94 95 // Operator - setup diff 96 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 97 CEED_QFUNCTION_NONE, &op_setup_diff); 98 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 99 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 100 CEED_VECTOR_NONE); 101 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, 102 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 103 104 // Apply Setup Operators 105 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 106 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 107 108 // QFunction - apply 109 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 110 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 111 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 112 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 113 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 114 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 115 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 116 117 // Operator - apply 118 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 119 &op_apply); 120 CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 121 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, 122 CEED_BASIS_COLLOCATED, qdata_mass); 123 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, 124 CEED_BASIS_COLLOCATED, qdata_diff); 125 CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 126 CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 127 CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 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 operator 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_setup_mass); 184 CeedQFunctionDestroy(&qf_setup_diff); 185 CeedQFunctionDestroy(&qf_apply); 186 CeedOperatorDestroy(&op_setup_mass); 187 CeedOperatorDestroy(&op_setup_diff); 188 CeedOperatorDestroy(&op_apply); 189 CeedElemRestrictionDestroy(&Erestrictu); 190 CeedElemRestrictionDestroy(&Erestrictx); 191 CeedElemRestrictionDestroy(&Erestrictui); 192 CeedElemRestrictionDestroy(&Erestrictqi); 193 CeedBasisDestroy(&bu); 194 CeedBasisDestroy(&bx); 195 CeedVectorDestroy(&X); 196 CeedVectorDestroy(&qdata_mass); 197 CeedVectorDestroy(&qdata_diff); 198 CeedVectorDestroy(&U); 199 CeedVectorDestroy(&V); 200 CeedDestroy(&ceed); 201 return 0; 202 } 203