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 CeedElemRestriction Erestrictx, Erestrictu, 13 Erestrictxi, Erestrictui, 14 Erestrictqi; 15 CeedBasis bx, bu; 16 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 17 CeedOperator op_setup_mass, op_setup_diff, op_apply; 18 CeedVector qdata_mass, qdata_diff, X, A, U, V; 19 CeedInt nelem = 12, dim = 2, P = 6, Q = 4; 20 CeedInt nx = 3, ny = 2; 21 CeedInt row, col, offset; 22 CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q; 23 CeedInt indx[nelem*P*P]; 24 CeedScalar x[dim*ndofs], assembledTrue[ndofs]; 25 CeedScalar qref[dim*Q], qweight[Q]; 26 CeedScalar interp[P*Q], grad[dim*P*Q]; 27 CeedScalar *u; 28 const CeedScalar *a, *v; 29 30 CeedInit(argv[1], &ceed); 31 32 // DoF Coordinates 33 for (CeedInt i=0; i<ndofs; i++) { 34 x[i] = (1. / (nx*2)) * (CeedScalar) (i % (nx*2+1)); 35 x[i+ndofs] = (1. / (ny*2)) * (CeedScalar) (i / (nx*2+1)); 36 } 37 CeedVectorCreate(ceed, dim*ndofs, &X); 38 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 39 40 // Qdata Vectors 41 CeedVectorCreate(ceed, nqpts, &qdata_mass); 42 CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff); 43 44 // Element Setup 45 for (CeedInt i=0; i<nelem/2; i++) { 46 col = i % nx; 47 row = i / nx; 48 offset = col*2 + row*(nx*2+1)*2; 49 50 indx[i*2*P + 0] = 2 + offset; 51 indx[i*2*P + 1] = 9 + offset; 52 indx[i*2*P + 2] = 16 + offset; 53 indx[i*2*P + 3] = 1 + offset; 54 indx[i*2*P + 4] = 8 + offset; 55 indx[i*2*P + 5] = 0 + offset; 56 57 indx[i*2*P + 6] = 14 + offset; 58 indx[i*2*P + 7] = 7 + offset; 59 indx[i*2*P + 8] = 0 + offset; 60 indx[i*2*P + 9] = 15 + offset; 61 indx[i*2*P + 10] = 8 + offset; 62 indx[i*2*P + 11] = 16 + offset; 63 } 64 65 // Restrictions 66 CeedElemRestrictionCreate(ceed, nelem, P, ndofs, dim, CEED_MEM_HOST, 67 CEED_USE_POINTER, indx, &Erestrictx); 68 CeedElemRestrictionCreateIdentity(ceed, nelem, P, nelem*P, dim, &Erestrictxi); 69 70 CeedElemRestrictionCreate(ceed, nelem, P, ndofs, 1, CEED_MEM_HOST, 71 CEED_USE_POINTER, indx, &Erestrictu); 72 CeedElemRestrictionCreateIdentity(ceed, nelem, Q, nqpts, 1, &Erestrictui); 73 74 75 CeedElemRestrictionCreateIdentity(ceed, nelem, Q, nqpts, dim*(dim+1)/2, 76 &Erestrictqi); 77 78 // Bases 79 buildmats(qref, qweight, interp, grad); 80 CeedBasisCreateH1(ceed, CEED_TRIANGLE, dim, P, Q, interp, grad, qref, 81 qweight, &bx); 82 83 buildmats(qref, qweight, interp, grad); 84 CeedBasisCreateH1(ceed, CEED_TRIANGLE, 1, P, Q, interp, grad, qref, 85 qweight, &bu); 86 87 // QFunction - setup mass 88 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 89 &qf_setup_mass); 90 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 91 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 92 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 93 94 // Operator - setup mass 95 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 96 CEED_QFUNCTION_NONE, &op_setup_mass); 97 CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 98 CEED_VECTOR_ACTIVE); 99 CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 100 bx, CEED_VECTOR_NONE); 101 CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui, CEED_NOTRANSPOSE, 102 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 103 104 // QFunction - setup diff 105 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 106 &qf_setup_diff); 107 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 108 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 109 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 110 111 // Operator - setup diff 112 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 113 CEED_QFUNCTION_NONE, &op_setup_diff); 114 CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, CEED_NOTRANSPOSE, bx, 115 CEED_VECTOR_ACTIVE); 116 CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, CEED_NOTRANSPOSE, 117 bx, CEED_VECTOR_NONE); 118 CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi, CEED_NOTRANSPOSE, 119 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 120 121 // Apply Setup Operators 122 CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE); 123 CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE); 124 125 // QFunction - apply 126 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 127 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 128 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 129 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 130 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 131 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 132 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 133 134 // Operator - apply 135 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 136 &op_apply); 137 CeedOperatorSetField(op_apply, "du", Erestrictu, CEED_NOTRANSPOSE, bu, 138 CEED_VECTOR_ACTIVE); 139 CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui, CEED_NOTRANSPOSE, 140 CEED_BASIS_COLLOCATED, qdata_mass); 141 CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi, CEED_NOTRANSPOSE, 142 CEED_BASIS_COLLOCATED, qdata_diff); 143 CeedOperatorSetField(op_apply, "u", Erestrictu, CEED_NOTRANSPOSE, bu, 144 CEED_VECTOR_ACTIVE); 145 CeedOperatorSetField(op_apply, "v", Erestrictu, CEED_NOTRANSPOSE, bu, 146 CEED_VECTOR_ACTIVE); 147 CeedOperatorSetField(op_apply, "dv", Erestrictu, CEED_NOTRANSPOSE, bu, 148 CEED_VECTOR_ACTIVE); 149 150 // Assemble diagonal 151 CeedOperatorAssembleLinearDiagonal(op_apply, &A, CEED_REQUEST_IMMEDIATE); 152 153 // Manually assemble diagonal 154 CeedVectorCreate(ceed, ndofs, &U); 155 CeedVectorSetValue(U, 0.0); 156 CeedVectorCreate(ceed, ndofs, &V); 157 for (int i=0; i<ndofs; i++) { 158 // Set input 159 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 160 u[i] = 1.0; 161 if (i) 162 u[i-1] = 0.0; 163 CeedVectorRestoreArray(U, &u); 164 165 // Compute diag entry for DoF i 166 CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE); 167 168 // Retrieve entry 169 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 170 assembledTrue[i] = v[i]; 171 CeedVectorRestoreArrayRead(V, &v); 172 } 173 174 // Check output 175 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 176 for (int i=0; i<ndofs; i++) 177 if (fabs(a[i] - assembledTrue[i]) > 1e-14) 178 // LCOV_EXCL_START 179 printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]); 180 // LCOV_EXCL_STOP 181 182 // Cleanup 183 CeedQFunctionDestroy(&qf_setup_mass); 184 CeedQFunctionDestroy(&qf_setup_diff); 185 CeedQFunctionDestroy(&qf_apply); 186 CeedOperatorDestroy(&op_setup_mass); 187 CeedOperatorDestroy(&op_setup_diff); 188 CeedOperatorDestroy(&op_apply); 189 CeedElemRestrictionDestroy(&Erestrictu); 190 CeedElemRestrictionDestroy(&Erestrictx); 191 CeedElemRestrictionDestroy(&Erestrictui); 192 CeedElemRestrictionDestroy(&Erestrictxi); 193 CeedElemRestrictionDestroy(&Erestrictqi); 194 CeedBasisDestroy(&bu); 195 CeedBasisDestroy(&bx); 196 CeedVectorDestroy(&X); 197 CeedVectorDestroy(&A); 198 CeedVectorDestroy(&qdata_mass); 199 CeedVectorDestroy(&qdata_diff); 200 CeedVectorDestroy(&U); 201 CeedVectorDestroy(&V); 202 CeedDestroy(&ceed); 203 return 0; 204 } 205