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 "t532-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction Erestrictx, Erestrictu, 12 Erestrictui, Erestrictqi, Erestrictlini; 13 CeedBasis bx, bu; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin; 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]; 22 23 CeedInit(argv[1], &ceed); 24 25 // DoF Coordinates 26 for (CeedInt i=0; i<nx*2+1; i++) 27 for (CeedInt j=0; j<ny*2+1; j++) { 28 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 29 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 30 } 31 CeedVectorCreate(ceed, dim*ndofs, &X); 32 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 33 34 // Qdata Vectors 35 CeedVectorCreate(ceed, nqpts, &qdata_mass); 36 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 37 38 // Element Setup 39 for (CeedInt i=0; i<nelem; i++) { 40 CeedInt col, row, offset; 41 col = i % nx; 42 row = i / nx; 43 offset = col*(P-1) + row*(nx*2+1)*(P-1); 44 for (CeedInt j=0; j<P; j++) 45 for (CeedInt k=0; k<P; k++) 46 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 47 } 48 49 // Restrictions 50 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 51 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 52 53 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 54 CEED_USE_POINTER, indx, &Erestrictu); 55 CeedInt stridesu[3] = {1, Q*Q, Q*Q}; 56 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 57 &Erestrictui); 58 59 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 60 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 61 dim*(dim+1)/2*nqpts, 62 stridesqd, &Erestrictqi); 63 64 // Bases 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 67 68 // QFunction - setup mass 69 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 70 &qf_setup_mass); 71 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 72 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 73 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 74 75 // Operator - setup mass 76 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 77 CEED_QFUNCTION_NONE, &op_setup_mass); 78 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 80 CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, 82 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 83 84 // QFunction - setup diff 85 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 86 &qf_setup_diff); 87 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 88 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 89 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 90 91 // Operator - setup diff 92 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 93 CEED_QFUNCTION_NONE, &op_setup_diff); 94 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 95 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 96 CEED_VECTOR_NONE); 97 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, 98 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 99 100 // Apply Setup Operators 101 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 102 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 103 104 // QFunction - apply 105 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 106 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 107 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 108 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 109 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 110 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 111 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 112 113 // Operator - apply 114 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 115 &op_apply); 116 CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 117 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, 118 CEED_BASIS_COLLOCATED, qdata_mass); 119 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, 120 CEED_BASIS_COLLOCATED, qdata_diff); 121 CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 122 CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 123 CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 124 125 // Apply original operator 126 CeedVectorCreate(ceed, ndofs, &u); 127 CeedVectorSetValue(u, 1.0); 128 CeedVectorCreate(ceed, ndofs, &v); 129 CeedVectorSetValue(v, 0.0); 130 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 131 132 // Check output 133 CeedScalar area = 0.0; 134 const CeedScalar *vv; 135 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 136 for (CeedInt i=0; i<ndofs; i++) 137 area += vv[i]; 138 CeedVectorRestoreArrayRead(v, &vv); 139 if (fabs(area - 1.0) > 1e-14) 140 // LCOV_EXCL_START 141 printf("Error: True operator computed area = %f != 1.0\n", area); 142 // LCOV_EXCL_STOP 143 144 // Assemble QFunction 145 CeedOperatorLinearAssembleQFunction(op_apply, &A, &Erestrictlini, 146 CEED_REQUEST_IMMEDIATE); 147 148 // QFunction - apply assembled 149 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin); 150 CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD); 151 CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE); 152 CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP); 153 CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP); 154 CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD); 155 156 // Operator - apply assembled 157 CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE, 158 CEED_QFUNCTION_NONE, &op_apply_lin); 159 CeedOperatorSetField(op_apply_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 160 CeedOperatorSetField(op_apply_lin, "qdata", Erestrictlini, 161 CEED_BASIS_COLLOCATED, A); 162 CeedOperatorSetField(op_apply_lin, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 163 CeedOperatorSetField(op_apply_lin, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 164 CeedOperatorSetField(op_apply_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 165 166 // Apply assembled QFunction operator 167 CeedVectorSetValue(v, 0.0); 168 CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE); 169 170 // Check output 171 area = 0.0; 172 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 173 for (CeedInt i=0; i<ndofs; i++) 174 area += vv[i]; 175 CeedVectorRestoreArrayRead(v, &vv); 176 if (fabs(area - 1.0) > 1e-14) 177 // LCOV_EXCL_START 178 printf("Error: Assembled operator computed area = %f != 1.0\n", area); 179 // LCOV_EXCL_STOP 180 181 // Cleanup 182 CeedQFunctionDestroy(&qf_setup_mass); 183 CeedQFunctionDestroy(&qf_setup_diff); 184 CeedQFunctionDestroy(&qf_apply); 185 CeedQFunctionDestroy(&qf_apply_lin); 186 CeedOperatorDestroy(&op_setup_mass); 187 CeedOperatorDestroy(&op_setup_diff); 188 CeedOperatorDestroy(&op_apply); 189 CeedOperatorDestroy(&op_apply_lin); 190 CeedElemRestrictionDestroy(&Erestrictu); 191 CeedElemRestrictionDestroy(&Erestrictx); 192 CeedElemRestrictionDestroy(&Erestrictui); 193 CeedElemRestrictionDestroy(&Erestrictqi); 194 CeedElemRestrictionDestroy(&Erestrictlini); 195 CeedBasisDestroy(&bu); 196 CeedBasisDestroy(&bx); 197 CeedVectorDestroy(&X); 198 CeedVectorDestroy(&A); 199 CeedVectorDestroy(&qdata_mass); 200 CeedVectorDestroy(&qdata_diff); 201 CeedVectorDestroy(&u); 202 CeedVectorDestroy(&v); 203 CeedDestroy(&ceed); 204 return 0; 205 } 206