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 Erestrictxi, Erestrictui, 13 Erestrictqi, Erestrictlini; 14 CeedBasis bx, bu; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin; 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]; 23 24 CeedInit(argv[1], &ceed); 25 26 // DoF Coordinates 27 for (CeedInt i=0; i<nx*2+1; i++) 28 for (CeedInt j=0; j<ny*2+1; j++) { 29 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 30 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 31 } 32 CeedVectorCreate(ceed, dim*ndofs, &X); 33 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 34 35 // Qdata Vectors 36 CeedVectorCreate(ceed, nqpts, &qdata_mass); 37 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 38 39 // Element Setup 40 for (CeedInt i=0; i<nelem; i++) { 41 CeedInt col, row, offset; 42 col = i % nx; 43 row = i / nx; 44 offset = col*(P-1) + row*(nx*2+1)*(P-1); 45 for (CeedInt j=0; j<P; j++) 46 for (CeedInt k=0; k<P; k++) 47 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, dim, CEED_MEM_HOST, 52 CEED_USE_POINTER, indx, &Erestrictx); 53 CeedElemRestrictionCreateIdentity(ceed, nelem, P*P, nelem*P*P, dim, 54 &Erestrictxi); 55 56 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 57 CEED_USE_POINTER, indx, &Erestrictu); 58 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, 1, &Erestrictui); 59 60 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2, 61 &Erestrictqi); 62 63 // Bases 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 66 67 // QFunction - setup mass 68 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 69 &qf_setup_mass); 70 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 72 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 73 74 // Operator - setup mass 75 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 76 CEED_QFUNCTION_NONE, &op_setup_mass); 77 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 78 CEED_VECTOR_ACTIVE); 79 CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 80 bx, CEED_VECTOR_NONE); 81 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, CEED_NOTRANSPOSE, 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, CEED_NOTRANSPOSE, bx, 95 CEED_VECTOR_ACTIVE); 96 CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 97 bx, CEED_VECTOR_NONE); 98 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 99 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 100 101 // Apply Setup Operators 102 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 103 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 104 105 // QFunction - apply 106 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 107 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 108 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 109 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 110 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 111 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 112 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 113 114 // Operator - apply 115 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 116 &op_apply); 117 CeedOperatorSetField(op_apply, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 118 CEED_VECTOR_ACTIVE); 119 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, CEED_NOTRANSPOSE, 120 CEED_BASIS_COLLOCATED, qdata_mass); 121 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, CEED_NOTRANSPOSE, 122 CEED_BASIS_COLLOCATED, qdata_diff); 123 CeedOperatorSetField(op_apply, "u", Erestrictu, CEED_NOTRANSPOSE, bu, 124 CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "v", Erestrictu, CEED_NOTRANSPOSE, bu, 126 CEED_VECTOR_ACTIVE); 127 CeedOperatorSetField(op_apply, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 128 CEED_VECTOR_ACTIVE); 129 130 // Apply original operator 131 CeedVectorCreate(ceed, ndofs, &u); 132 CeedVectorSetValue(u, 1.0); 133 CeedVectorCreate(ceed, ndofs, &v); 134 CeedVectorSetValue(v, 0.0); 135 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 136 137 // Check output 138 CeedScalar area = 0.0; 139 const CeedScalar *vv; 140 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 141 for (CeedInt i=0; i<ndofs; i++) 142 area += vv[i]; 143 CeedVectorRestoreArrayRead(v, &vv); 144 if (fabs(area - 1.0) > 1e-14) 145 // LCOV_EXCL_START 146 printf("Error: True operator computed area = %f != 1.0\n", area); 147 // LCOV_EXCL_STOP 148 149 // Assemble QFunction 150 CeedOperatorAssembleLinearQFunction(op_apply, &A, &Erestrictlini, 151 CEED_REQUEST_IMMEDIATE); 152 153 // QFunction - apply assembled 154 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin); 155 CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD); 156 CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE); 157 CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP); 158 CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP); 159 CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD); 160 161 // Operator - apply assembled 162 CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE, 163 CEED_QFUNCTION_NONE, &op_apply_lin); 164 CeedOperatorSetField(op_apply_lin, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 165 CEED_VECTOR_ACTIVE); 166 CeedOperatorSetField(op_apply_lin, "qdata", Erestrictlini, CEED_NOTRANSPOSE, 167 CEED_BASIS_COLLOCATED, A); 168 CeedOperatorSetField(op_apply_lin, "u", Erestrictu, CEED_NOTRANSPOSE, bu, 169 CEED_VECTOR_ACTIVE); 170 CeedOperatorSetField(op_apply_lin, "v", Erestrictu, CEED_NOTRANSPOSE, bu, 171 CEED_VECTOR_ACTIVE); 172 CeedOperatorSetField(op_apply_lin, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 173 CEED_VECTOR_ACTIVE); 174 175 // Apply assembled QFunction operator 176 CeedVectorSetValue(v, 0.0); 177 CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE); 178 179 // Check output 180 area = 0.0; 181 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 182 for (CeedInt i=0; i<ndofs; i++) 183 area += vv[i]; 184 CeedVectorRestoreArrayRead(v, &vv); 185 if (fabs(area - 1.0) > 1e-14) 186 // LCOV_EXCL_START 187 printf("Error: Assembled operator computed area = %f != 1.0\n", area); 188 // LCOV_EXCL_STOP 189 190 // Cleanup 191 CeedQFunctionDestroy(&qf_setup_mass); 192 CeedQFunctionDestroy(&qf_setup_diff); 193 CeedQFunctionDestroy(&qf_apply); 194 CeedQFunctionDestroy(&qf_apply_lin); 195 CeedOperatorDestroy(&op_setup_mass); 196 CeedOperatorDestroy(&op_setup_diff); 197 CeedOperatorDestroy(&op_apply); 198 CeedOperatorDestroy(&op_apply_lin); 199 CeedElemRestrictionDestroy(&Erestrictu); 200 CeedElemRestrictionDestroy(&Erestrictx); 201 CeedElemRestrictionDestroy(&Erestrictui); 202 CeedElemRestrictionDestroy(&Erestrictxi); 203 CeedElemRestrictionDestroy(&Erestrictqi); 204 CeedElemRestrictionDestroy(&Erestrictlini); 205 CeedBasisDestroy(&bu); 206 CeedBasisDestroy(&bx); 207 CeedVectorDestroy(&X); 208 CeedVectorDestroy(&A); 209 CeedVectorDestroy(&qdata_mass); 210 CeedVectorDestroy(&qdata_diff); 211 CeedVectorDestroy(&u); 212 CeedVectorDestroy(&v); 213 CeedDestroy(&ceed); 214 return 0; 215 } 216