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 Erestrictui, Erestrictqi, Erestrictlini; 13 CeedBasis bx, bu; 14 CeedQFunction qf_setup, qf_diff, qf_diff_lin; 15 CeedOperator op_setup, op_diff, op_diff_lin; 16 CeedVector qdata, 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 Vector 35 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata); 36 37 // Element Setup 38 for (CeedInt i=0; i<nelem; i++) { 39 CeedInt col, row, offset; 40 col = i % nx; 41 row = i / nx; 42 offset = col*(P-1) + row*(nx*2+1)*(P-1); 43 for (CeedInt j=0; j<P; j++) 44 for (CeedInt k=0; k<P; k++) 45 indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 46 } 47 48 // Restrictions 49 CeedElemRestrictionCreate(ceed, nelem, P*P, dim, ndofs, dim*ndofs, 50 CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx); 51 52 CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST, 53 CEED_USE_POINTER, indx, &Erestrictu); 54 CeedInt stridesu[3] = {1, Q*Q, Q *Q*dim}; 55 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu, 56 &Erestrictui); 57 58 CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 59 CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, dim*(dim+1)/2, 60 dim*(dim+1)/2*nqpts, stridesqd, 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 68 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 69 CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD); 70 CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT); 71 CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 72 73 // Operator - setup 74 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 75 &op_setup); 76 CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 77 CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, bx, 78 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(&Erestrictqi); 158 CeedElemRestrictionDestroy(&Erestrictlini); 159 CeedBasisDestroy(&bu); 160 CeedBasisDestroy(&bx); 161 CeedVectorDestroy(&X); 162 CeedVectorDestroy(&A); 163 CeedVectorDestroy(&qdata); 164 CeedVectorDestroy(&u); 165 CeedVectorDestroy(&v); 166 CeedDestroy(&ceed); 167 return 0; 168 } 169