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 CeedElemRestriction Erestrictx, Erestrictu, 12 Erestrictxi, Erestrictui, 13 Erestrictqi; 14 CeedBasis bx, bu; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply; 17 CeedVector qdata_mass, qdata_diff, X, A, U, V; 18 CeedInt nelem = 6, P = 3, Q = 4, dim = 2; 19 CeedInt nx = 3, ny = 2; 20 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 21 CeedInt indx[nelem*P*P]; 22 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 23 CeedScalar *u; 24 const CeedScalar *a, *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, &qdata_mass); 39 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 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, ndofs, dim, CEED_MEM_HOST, 54 CEED_USE_POINTER, indx, &Erestrictx); 55 CeedElemRestrictionCreateIdentity(ceed, nelem, P*P, nelem*P*P, dim, 56 &Erestrictxi); 57 58 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 59 CEED_USE_POINTER, indx, &Erestrictu); 60 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, 1, &Erestrictui); 61 62 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2, 63 &Erestrictqi); 64 65 // Bases 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 68 69 // QFunction - setup mass 70 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 71 &qf_setup_mass); 72 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 73 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 74 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 75 76 // Operator - setup mass 77 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 78 CEED_QFUNCTION_NONE, &op_setup_mass); 79 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 80 CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 82 bx, CEED_VECTOR_NONE); 83 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, CEED_NOTRANSPOSE, 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, CEED_NOTRANSPOSE, bx, 97 CEED_VECTOR_ACTIVE); 98 CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 99 bx, CEED_VECTOR_NONE); 100 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 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, CEED_NOTRANSPOSE, bu, 120 CEED_VECTOR_ACTIVE); 121 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, CEED_NOTRANSPOSE, 122 CEED_BASIS_COLLOCATED, qdata_mass); 123 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, CEED_NOTRANSPOSE, 124 CEED_BASIS_COLLOCATED, qdata_diff); 125 CeedOperatorSetField(op_apply, "u", Erestrictu, CEED_NOTRANSPOSE, bu, 126 CEED_VECTOR_ACTIVE); 127 CeedOperatorSetField(op_apply, "v", Erestrictu, CEED_NOTRANSPOSE, bu, 128 CEED_VECTOR_ACTIVE); 129 CeedOperatorSetField(op_apply, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 130 CEED_VECTOR_ACTIVE); 131 132 // Assemble diagonal 133 CeedOperatorAssembleLinearDiagonal(op_apply, &A, CEED_REQUEST_IMMEDIATE); 134 135 // Manually assemble diagonal 136 CeedVectorCreate(ceed, ndofs, &U); 137 CeedVectorSetValue(U, 0.0); 138 CeedVectorCreate(ceed, ndofs, &V); 139 for (int i=0; i<ndofs; i++) { 140 // Set input 141 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 142 u[i] = 1.0; 143 if (i) 144 u[i-1] = 0.0; 145 CeedVectorRestoreArray(U, &u); 146 147 // Compute diag entry for DoF i 148 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 149 150 // Retrieve entry 151 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 152 assembledTrue[i] = v[i]; 153 CeedVectorRestoreArrayRead(V, &v); 154 } 155 156 // Check output 157 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 158 for (int i=0; i<ndofs; i++) 159 if (fabs(a[i] - assembledTrue[i]) > 1e-14) 160 // LCOV_EXCL_START 161 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 162 // LCOV_EXCL_STOP 163 164 // Cleanup 165 CeedQFunctionDestroy(&qf_setup_mass); 166 CeedQFunctionDestroy(&qf_setup_diff); 167 CeedQFunctionDestroy(&qf_apply); 168 CeedOperatorDestroy(&op_setup_mass); 169 CeedOperatorDestroy(&op_setup_diff); 170 CeedOperatorDestroy(&op_apply); 171 CeedElemRestrictionDestroy(&Erestrictu); 172 CeedElemRestrictionDestroy(&Erestrictx); 173 CeedElemRestrictionDestroy(&Erestrictui); 174 CeedElemRestrictionDestroy(&Erestrictxi); 175 CeedElemRestrictionDestroy(&Erestrictqi); 176 CeedBasisDestroy(&bu); 177 CeedBasisDestroy(&bx); 178 CeedVectorDestroy(&X); 179 CeedVectorDestroy(&A); 180 CeedVectorDestroy(&qdata_mass); 181 CeedVectorDestroy(&qdata_diff); 182 CeedVectorDestroy(&U); 183 CeedVectorDestroy(&V); 184 CeedDestroy(&ceed); 185 return 0; 186 } 187