1 /// @file 2 /// Test assembly of Poisson operator QFunction 3 /// \test Test assembly of Poisson operator QFunction 4 #include <ceed.h> 5 #include <stdlib.h> 6 #include <math.h> 7 #include "t531-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, qf_diff, qf_diff_lin; 16 CeedOperator op_setup, op_diff, op_diff_lin; 17 CeedVector qdata, 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 Vector 36 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 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, ndofs, dim, CEED_MEM_HOST, 51 CEED_USE_POINTER, indx, &Erestrictx); 52 CeedElemRestrictionCreateIdentity(ceed, nelem, P*P, nelem*P*P, dim, 53 &Erestrictxi); 54 55 CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 56 CEED_USE_POINTER, indx, &Erestrictu); 57 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, 1, &Erestrictui); 58 59 CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2, 60 &Erestrictqi); 61 62 // Bases 63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx); 64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu); 65 66 // QFunction - setup 67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 68 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 69 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 70 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 71 72 // Operator - setup 73 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 74 &op_setup); 75 CeedOperatorSetField(op_setup, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 76 CEED_VECTOR_ACTIVE); 77 CeedOperatorSetField(op_setup, "_weight", Erestrictxi, CEED_NOTRANSPOSE, bx, 78 CEED_VECTOR_NONE); 79 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 80 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 81 82 // Apply Setup Operator 83 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 84 85 // QFunction - apply 86 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 87 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 88 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 89 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 90 91 // Operator - apply 92 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 93 &op_diff); 94 CeedOperatorSetField(op_diff, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 95 CEED_VECTOR_ACTIVE); 96 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 97 CEED_BASIS_COLLOCATED, qdata); 98 CeedOperatorSetField(op_diff, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 99 CEED_VECTOR_ACTIVE); 100 101 // Apply original Poisson Operator 102 CeedVectorCreate(ceed, ndofs, &u); 103 CeedVectorSetValue(u, 1.0); 104 CeedVectorCreate(ceed, ndofs, &v); 105 CeedVectorSetValue(v, 0.0); 106 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 107 108 // Check output 109 const CeedScalar *vv; 110 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 111 for (CeedInt i=0; i<ndofs; i++) 112 if (fabs(vv[i]) > 1e-14) 113 // LCOV_EXCL_START 114 printf("Error: Operator computed v[i] = %f != 0.0\n", vv[i]); 115 // LCOV_EXCL_STOP 116 CeedVectorRestoreArrayRead(v, &vv); 117 118 // Assemble QFunction 119 CeedOperatorAssembleLinearQFunction(op_diff, &A, &Erestrictlini, 120 CEED_REQUEST_IMMEDIATE); 121 122 // QFunction - apply assembled 123 CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin); 124 CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD); 125 CeedQFunctionAddInput(qf_diff_lin, "qdata", dim*dim, CEED_EVAL_NONE); 126 CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD); 127 128 // Operator - apply assembled 129 CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE, 130 CEED_QFUNCTION_NONE, &op_diff_lin); 131 CeedOperatorSetField(op_diff_lin, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 132 CEED_VECTOR_ACTIVE); 133 CeedOperatorSetField(op_diff_lin, "qdata", Erestrictlini, CEED_NOTRANSPOSE, 134 CEED_BASIS_COLLOCATED, A); 135 CeedOperatorSetField(op_diff_lin, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 136 CEED_VECTOR_ACTIVE); 137 138 // Apply new Poisson Operator 139 CeedVectorSetValue(v, 0.0); 140 CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); 141 142 // Check output 143 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 144 for (CeedInt i=0; i<ndofs; i++) 145 if (fabs(vv[i]) > 1e-14) 146 // LCOV_EXCL_START 147 printf("Error: Linerized operator computed v[i] = %f != 0.0\n", vv[i]); 148 // LCOV_EXCL_STOP 149 CeedVectorRestoreArrayRead(v, &vv); 150 151 // Cleanup 152 CeedQFunctionDestroy(&qf_setup); 153 CeedQFunctionDestroy(&qf_diff); 154 CeedQFunctionDestroy(&qf_diff_lin); 155 CeedOperatorDestroy(&op_setup); 156 CeedOperatorDestroy(&op_diff); 157 CeedOperatorDestroy(&op_diff_lin); 158 CeedElemRestrictionDestroy(&Erestrictu); 159 CeedElemRestrictionDestroy(&Erestrictx); 160 CeedElemRestrictionDestroy(&Erestrictui); 161 CeedElemRestrictionDestroy(&Erestrictxi); 162 CeedElemRestrictionDestroy(&Erestrictqi); 163 CeedElemRestrictionDestroy(&Erestrictlini); 164 CeedBasisDestroy(&bu); 165 CeedBasisDestroy(&bx); 166 CeedVectorDestroy(&X); 167 CeedVectorDestroy(&A); 168 CeedVectorDestroy(&qdata); 169 CeedVectorDestroy(&u); 170 CeedVectorDestroy(&v); 171 CeedDestroy(&ceed); 172 return 0; 173 } 174