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