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, NULL, NULL, &op_setup); 74 CeedOperatorSetField(op_setup, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 75 CEED_VECTOR_ACTIVE); 76 CeedOperatorSetField(op_setup, "_weight", Erestrictxi, CEED_NOTRANSPOSE, bx, 77 CEED_VECTOR_NONE); 78 CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 79 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 80 81 // Apply Setup Operator 82 CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE); 83 84 // QFunction - apply 85 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 86 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 87 CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 88 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 89 90 // Operator - apply 91 CeedOperatorCreate(ceed, qf_diff, NULL, NULL, &op_diff); 92 CeedOperatorSetField(op_diff, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 93 CEED_VECTOR_ACTIVE); 94 CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 95 CEED_BASIS_COLLOCATED, qdata); 96 CeedOperatorSetField(op_diff, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 97 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, NULL, NULL, &op_diff_lin); 128 CeedOperatorSetField(op_diff_lin, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 129 CEED_VECTOR_ACTIVE); 130 CeedOperatorSetField(op_diff_lin, "qdata", Erestrictlini, CEED_NOTRANSPOSE, 131 CEED_BASIS_COLLOCATED, A); 132 CeedOperatorSetField(op_diff_lin, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 133 CEED_VECTOR_ACTIVE); 134 135 // Apply new Poisson Operator 136 CeedVectorSetValue(v, 0.0); 137 CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE); 138 139 // Check output 140 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 141 for (CeedInt i=0; i<ndofs; i++) 142 if (fabs(vv[i]) > 1E-14) 143 // LCOV_EXCL_START 144 printf("Error: Linerized operator computed v[i] = %f != 0.0\n", vv[i]); 145 // LCOV_EXCL_STOP 146 CeedVectorRestoreArrayRead(v, &vv); 147 148 // Cleanup 149 CeedQFunctionDestroy(&qf_setup); 150 CeedQFunctionDestroy(&qf_diff); 151 CeedQFunctionDestroy(&qf_diff_lin); 152 CeedOperatorDestroy(&op_setup); 153 CeedOperatorDestroy(&op_diff); 154 CeedOperatorDestroy(&op_diff_lin); 155 CeedElemRestrictionDestroy(&Erestrictu); 156 CeedElemRestrictionDestroy(&Erestrictx); 157 CeedElemRestrictionDestroy(&Erestrictui); 158 CeedElemRestrictionDestroy(&Erestrictxi); 159 CeedElemRestrictionDestroy(&Erestrictqi); 160 CeedElemRestrictionDestroy(&Erestrictlini); 161 CeedBasisDestroy(&bu); 162 CeedBasisDestroy(&bx); 163 CeedVectorDestroy(&X); 164 CeedVectorDestroy(&A); 165 CeedVectorDestroy(&qdata); 166 CeedVectorDestroy(&u); 167 CeedVectorDestroy(&v); 168 CeedDestroy(&ceed); 169 return 0; 170 } 171