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 "t320-basis.h" 8 #include "t535-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedTransposeMode lmode = CEED_NOTRANSPOSE; 13 CeedElemRestriction Erestrictx, Erestrictu, 14 Erestrictxi, Erestrictui, 15 Erestrictqi; 16 CeedBasis bx, bu; 17 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 18 CeedOperator op_setup_mass, op_setup_diff, op_apply; 19 CeedVector qdata_mass, qdata_diff, X, A, U, V; 20 CeedInt nelem = 12, dim = 2, P = 6, Q = 4; 21 CeedInt nx = 3, ny = 2; 22 CeedInt row, col, offset; 23 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 24 CeedInt indx[nelem*P*P]; 25 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 26 CeedScalar qref[dim*Q], qweight[Q]; 27 CeedScalar interp[P*Q], grad[dim*P*Q]; 28 CeedScalar *u; 29 const CeedScalar *a, *v; 30 31 CeedInit(argv[1], &ceed); 32 33 // DoF Coordinates 34 for (CeedInt i=0; i<ndofs; i++) { 35 x[i] = (1. / (nx*2)) * (CeedScalar) (i % (nx*2+1)); 36 x[i+ndofs] = (1. / (ny*2)) * (CeedScalar) (i / (nx*2+1)); 37 } 38 CeedVectorCreate(ceed, dim*ndofs, &X); 39 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 40 41 // Qdata Vectors 42 CeedVectorCreate(ceed, nqpts, &qdata_mass); 43 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 44 45 // Element Setup 46 for (CeedInt i=0; i<nelem/2; i++) { 47 col = i % nx; 48 row = i / nx; 49 offset = col*2 + row*(nx*2+1)*2; 50 51 indx[i*2*P + 0] = 2 + offset; 52 indx[i*2*P + 1] = 9 + offset; 53 indx[i*2*P + 2] = 16 + offset; 54 indx[i*2*P + 3] = 1 + offset; 55 indx[i*2*P + 4] = 8 + offset; 56 indx[i*2*P + 5] = 0 + offset; 57 58 indx[i*2*P + 6] = 14 + offset; 59 indx[i*2*P + 7] = 7 + offset; 60 indx[i*2*P + 8] = 0 + offset; 61 indx[i*2*P + 9] = 15 + offset; 62 indx[i*2*P + 10] = 8 + offset; 63 indx[i*2*P + 11] = 16 + offset; 64 } 65 66 // Restrictions 67 CeedElemRestrictionCreate(ceed, lmode, nelem, P, ndofs, dim, CEED_MEM_HOST, 68 CEED_USE_POINTER, indx, &Erestrictx); 69 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, P, nelem*P, dim, 70 &Erestrictxi); 71 72 CeedElemRestrictionCreate(ceed, lmode, nelem, P, ndofs, 1, CEED_MEM_HOST, 73 CEED_USE_POINTER, indx, &Erestrictu); 74 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, Q, nqpts, 1, 75 &Erestrictui); 76 77 78 CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, Q, nqpts, dim*(dim+1)/2, 79 &Erestrictqi); 80 81 // Bases 82 buildmats(qref, qweight, interp, grad); 83 CeedBasisCreateH1(ceed, CEED_TRIANGLE, dim, P, Q, interp, grad, qref, 84 qweight, &bx); 85 86 buildmats(qref, qweight, interp, grad); 87 CeedBasisCreateH1(ceed, CEED_TRIANGLE, 1, P, Q, interp, grad, qref, 88 qweight, &bu); 89 90 // QFunction - setup mass 91 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 92 &qf_setup_mass); 93 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 94 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 95 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 96 97 // Operator - setup mass 98 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 99 CEED_QFUNCTION_NONE, &op_setup_mass); 100 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 101 CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, bx, 102 CEED_VECTOR_NONE); 103 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, 104 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 105 106 // QFunction - setup diff 107 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 108 &qf_setup_diff); 109 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 110 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 111 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 112 113 // Operator - setup diff 114 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 115 CEED_QFUNCTION_NONE, &op_setup_diff); 116 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE); 117 CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, bx, 118 CEED_VECTOR_NONE); 119 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, 120 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 121 122 // Apply Setup Operators 123 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 124 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 125 126 // QFunction - apply 127 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 128 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 129 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 130 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 131 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 132 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 133 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 134 135 // Operator - apply 136 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 137 &op_apply); 138 CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE); 139 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, 140 CEED_BASIS_COLLOCATED, qdata_mass); 141 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, 142 CEED_BASIS_COLLOCATED, qdata_diff); 143 CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE); 144 CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE); 145 CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE); 146 147 // Assemble diagonal 148 CeedOperatorAssembleLinearDiagonal(op_apply, &A, CEED_REQUEST_IMMEDIATE); 149 150 // Manually assemble diagonal 151 CeedVectorCreate(ceed, ndofs, &U); 152 CeedVectorSetValue(U, 0.0); 153 CeedVectorCreate(ceed, ndofs, &V); 154 for (int i=0; i<ndofs; i++) { 155 // Set input 156 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 157 u[i] = 1.0; 158 if (i) 159 u[i-1] = 0.0; 160 CeedVectorRestoreArray(U, &u); 161 162 // Compute diag entry for DoF i 163 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 164 165 // Retrieve entry 166 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 167 assembledTrue[i] = v[i]; 168 CeedVectorRestoreArrayRead(V, &v); 169 } 170 171 // Check output 172 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 173 for (int i=0; i<ndofs; i++) 174 if (fabs(a[i] - assembledTrue[i]) > 1e-14) 175 // LCOV_EXCL_START 176 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 177 // LCOV_EXCL_STOP 178 179 // Cleanup 180 CeedQFunctionDestroy(&qf_setup_mass); 181 CeedQFunctionDestroy(&qf_setup_diff); 182 CeedQFunctionDestroy(&qf_apply); 183 CeedOperatorDestroy(&op_setup_mass); 184 CeedOperatorDestroy(&op_setup_diff); 185 CeedOperatorDestroy(&op_apply); 186 CeedElemRestrictionDestroy(&Erestrictu); 187 CeedElemRestrictionDestroy(&Erestrictx); 188 CeedElemRestrictionDestroy(&Erestrictui); 189 CeedElemRestrictionDestroy(&Erestrictxi); 190 CeedElemRestrictionDestroy(&Erestrictqi); 191 CeedBasisDestroy(&bu); 192 CeedBasisDestroy(&bx); 193 CeedVectorDestroy(&X); 194 CeedVectorDestroy(&A); 195 CeedVectorDestroy(&qdata_mass); 196 CeedVectorDestroy(&qdata_diff); 197 CeedVectorDestroy(&U); 198 CeedVectorDestroy(&V); 199 CeedDestroy(&ceed); 200 return 0; 201 } 202