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 CeedTransposeMode lmode = CEED_NOTRANSPOSE; 12 CeedElemRestriction Erestrictx, Erestrictu, 13 Erestrictxi, Erestrictui, 14 Erestrictqi, Erestrictlini; 15 CeedBasis bx, bu; 16 CeedQFunction qf_setup, qf_diff, qf_diff_lin; 17 CeedOperator op_setup, op_diff, op_diff_lin; 18 CeedVector qdata, 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]; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i=0; i<nx*2+1; i++) 29 for (CeedInt j=0; j<ny*2+1; j++) { 30 x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx); 31 x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny); 32 } 33 CeedVectorCreate(ceed, dim*ndofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vector 37 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 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, lmode, nelem, P*P, ndofs, dim, CEED_MEM_HOST, 52 CEED_USE_POINTER, indx, &Erestrictx); 53 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, P*P, nelem*P*P, dim, 54 &Erestrictxi); 55 56 CeedElemRestrictionCreate(ceed, lmode, nelem, P*P, ndofs, 1, CEED_MEM_HOST, 57 CEED_USE_POINTER, indx, &Erestrictu); 58 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, Q*Q, nqpts, 1, 59 &Erestrictui); 60 61 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, Q*Q, nqpts, 62 dim*(dim+1)/2, &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 69 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 70 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 72 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 73 74 // Operator - setup 75 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 76 &op_setup); 77 CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 78 CeedOperatorSetField(op_setup, "_weight", Erestrictxi, bx, CEED_VECTOR_NONE); 79 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 80 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, bu, CEED_VECTOR_ACTIVE); 95 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED, 96 qdata); 97 CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 98 99 // Apply original Poisson Operator 100 CeedVectorCreate(ceed, ndofs, &u); 101 CeedVectorSetValue(u, 1.0); 102 CeedVectorCreate(ceed, ndofs, &v); 103 CeedVectorSetValue(v, 0.0); 104 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 105 106 // Check output 107 const CeedScalar *vv; 108 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 109 for (CeedInt i=0; i<ndofs; i++) 110 if (fabs(vv[i]) > 1e-14) 111 // LCOV_EXCL_START 112 printf("Error: Operator computed v[i] = %f != 0.0\n", vv[i]); 113 // LCOV_EXCL_STOP 114 CeedVectorRestoreArrayRead(v, &vv); 115 116 // Assemble QFunction 117 CeedOperatorAssembleLinearQFunction(op_diff, &A, &Erestrictlini, 118 CEED_REQUEST_IMMEDIATE); 119 120 // QFunction - apply assembled 121 CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin); 122 CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD); 123 CeedQFunctionAddInput(qf_diff_lin, "qdata", dim*dim, CEED_EVAL_NONE); 124 CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD); 125 126 // Operator - apply assembled 127 CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE, 128 CEED_QFUNCTION_NONE, &op_diff_lin); 129 CeedOperatorSetField(op_diff_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 130 CeedOperatorSetField(op_diff_lin, "qdata", Erestrictlini, 131 CEED_BASIS_COLLOCATED, A); 132 CeedOperatorSetField(op_diff_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 133 134 // Apply new Poisson Operator 135 CeedVectorSetValue(v, 0.0); 136 CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); 137 138 // Check output 139 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 140 for (CeedInt i=0; i<ndofs; i++) 141 if (fabs(vv[i]) > 1e-14) 142 // LCOV_EXCL_START 143 printf("Error: Linerized operator computed v[i] = %f != 0.0\n", vv[i]); 144 // LCOV_EXCL_STOP 145 CeedVectorRestoreArrayRead(v, &vv); 146 147 // Cleanup 148 CeedQFunctionDestroy(&qf_setup); 149 CeedQFunctionDestroy(&qf_diff); 150 CeedQFunctionDestroy(&qf_diff_lin); 151 CeedOperatorDestroy(&op_setup); 152 CeedOperatorDestroy(&op_diff); 153 CeedOperatorDestroy(&op_diff_lin); 154 CeedElemRestrictionDestroy(&Erestrictu); 155 CeedElemRestrictionDestroy(&Erestrictx); 156 CeedElemRestrictionDestroy(&Erestrictui); 157 CeedElemRestrictionDestroy(&Erestrictxi); 158 CeedElemRestrictionDestroy(&Erestrictqi); 159 CeedElemRestrictionDestroy(&Erestrictlini); 160 CeedBasisDestroy(&bu); 161 CeedBasisDestroy(&bx); 162 CeedVectorDestroy(&X); 163 CeedVectorDestroy(&A); 164 CeedVectorDestroy(&qdata); 165 CeedVectorDestroy(&u); 166 CeedVectorDestroy(&v); 167 CeedDestroy(&ceed); 168 return 0; 169 } 170