1 /// @file 2 /// Test assembly of mass and Poisson operator QFunction 3 /// \test Test assembly of mass and Poisson operator QFunction 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 CeedInterlaceMode imode = CEED_NONINTERLACED; 12 CeedElemRestriction Erestrictx, Erestrictu, 13 Erestrictxi, Erestrictui, 14 Erestrictqi; 15 CeedBasis bx, bu; 16 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 17 CeedOperator op_setup_mass, op_setup_diff, op_apply; 18 CeedVector qdata_mass, qdata_diff, 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 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, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST, 55 CEED_USE_POINTER, indx, &Erestrictx); 56 CeedElemRestrictionCreateIdentity(ceed, imode, nelem, P*P, nelem*P*P, dim, 57 &Erestrictxi); 58 59 CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 60 CEED_USE_POINTER, indx, &Erestrictu); 61 CeedElemRestrictionCreateIdentity(ceed, imode, nelem, Q*Q, nqpts, 1, 62 &Erestrictui); 63 64 CeedElemRestrictionCreateIdentity(ceed, imode, nelem, Q*Q, nqpts, 65 dim*(dim+1)/2, &Erestrictqi); 66 67 // Bases 68 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 69 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 70 71 // QFunction - setup mass 72 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 73 &qf_setup_mass); 74 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 75 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 76 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 77 78 // Operator - setup mass 79 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 80 CEED_QFUNCTION_NONE, &op_setup_mass); 81 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 82 CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, bx, 83 CEED_VECTOR_NONE); 84 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, 85 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 86 87 // QFunction - setup diff 88 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 89 &qf_setup_diff); 90 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 91 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 92 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 93 94 // Operator - setup diff 95 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 96 CEED_QFUNCTION_NONE, &op_setup_diff); 97 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 98 CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, bx, 99 CEED_VECTOR_NONE); 100 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, 101 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 102 103 // Apply Setup Operators 104 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 105 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 106 107 // QFunction - apply 108 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 109 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 110 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 111 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 112 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 113 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 114 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 115 116 // Operator - apply 117 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 118 &op_apply); 119 CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 120 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, 121 CEED_BASIS_COLLOCATED, qdata_mass); 122 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, 123 CEED_BASIS_COLLOCATED, qdata_diff); 124 CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 126 CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 127 128 // Assemble diagonal 129 CeedOperatorAssembleLinearDiagonal(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 159 160 // Cleanup 161 CeedQFunctionDestroy(&qf_setup_mass); 162 CeedQFunctionDestroy(&qf_setup_diff); 163 CeedQFunctionDestroy(&qf_apply); 164 CeedOperatorDestroy(&op_setup_mass); 165 CeedOperatorDestroy(&op_setup_diff); 166 CeedOperatorDestroy(&op_apply); 167 CeedElemRestrictionDestroy(&Erestrictu); 168 CeedElemRestrictionDestroy(&Erestrictx); 169 CeedElemRestrictionDestroy(&Erestrictui); 170 CeedElemRestrictionDestroy(&Erestrictxi); 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