1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 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, 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 Vectors 37 CeedVectorCreate(ceed, nqpts, &qdata_mass); 38 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 39 40 // Element Setup 41 for (CeedInt i=0; i<nelem; i++) { 42 CeedInt col, row, offset; 43 col = i % nx; 44 row = i / nx; 45 offset = col*(P-1) + row*(nx*2+1)*(P-1); 46 for (CeedInt j=0; j<P; j++) 47 for (CeedInt k=0; k<P; k++) 48 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 49 } 50 51 // Restrictions 52 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 53 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 54 55 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 56 CEED_USE_POINTER, indx, &Erestrictu); 57 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 58 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 59 &Erestrictui); 60 61 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 62 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 63 dim*(dim+1)/2*nqpts, 64 stridesqd, &Erestrictqi); 65 66 // Bases 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 68 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 69 70 // QFunction - setup mass 71 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 72 &qf_setup_mass); 73 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 74 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 75 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 76 77 // Operator - setup mass 78 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 79 CEED_QFUNCTION_NONE, &op_setup_mass); 80 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 82 CEED_VECTOR_NONE); 83 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, 84 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 85 86 // QFunction - setup diff 87 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 88 &qf_setup_diff); 89 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 90 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 91 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 92 93 // Operator - setup diff 94 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 95 CEED_QFUNCTION_NONE, &op_setup_diff); 96 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 97 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 98 CEED_VECTOR_NONE); 99 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, 100 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 101 102 // Apply Setup Operators 103 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 104 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 105 106 // QFunction - apply 107 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 108 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 109 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 110 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 111 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 112 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 113 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 114 115 // Operator - apply 116 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 117 &op_apply); 118 CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 119 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, 120 CEED_BASIS_COLLOCATED, qdata_mass); 121 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, 122 CEED_BASIS_COLLOCATED, qdata_diff); 123 CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 124 CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 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-14) 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_setup_mass); 163 CeedQFunctionDestroy(&qf_setup_diff); 164 CeedQFunctionDestroy(&qf_apply); 165 CeedOperatorDestroy(&op_setup_mass); 166 CeedOperatorDestroy(&op_setup_diff); 167 CeedOperatorDestroy(&op_apply); 168 CeedElemRestrictionDestroy(&Erestrictu); 169 CeedElemRestrictionDestroy(&Erestrictx); 170 CeedElemRestrictionDestroy(&Erestrictui); 171 CeedElemRestrictionDestroy(&Erestrictqi); 172 CeedBasisDestroy(&bu); 173 CeedBasisDestroy(&bx); 174 CeedVectorDestroy(&X); 175 CeedVectorDestroy(&A); 176 CeedVectorDestroy(&qdata_mass); 177 CeedVectorDestroy(&qdata_diff); 178 CeedVectorDestroy(&U); 179 CeedVectorDestroy(&V); 180 CeedDestroy(&ceed); 181 return 0; 182 } 183