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 "t532-operator.h" 8 9 int main(int argc, char **argv) { 10 Ceed ceed; 11 CeedElemRestriction elem_restr_x, elem_restr_u, 12 elem_restr_qd_mass_i, elem_restr_qd_diff_i, elem_restr_lin_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin; 16 CeedVector q_data_mass, q_data_diff, X, A, u, v; 17 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs = (nx*2+1)*(ny*2+1), num_qpts = num_elem*Q*Q; 20 CeedInt ind_x[num_elem*P*P]; 21 CeedScalar x[dim*num_dofs]; 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*num_dofs] = (CeedScalar) i / (2*nx); 29 x[i+j*(nx*2+1)+1*num_dofs] = (CeedScalar) j / (2*ny); 30 } 31 CeedVectorCreate(ceed, dim*num_dofs, &X); 32 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 33 34 // Qdata Vectors 35 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 36 CeedVectorCreate(ceed, num_qpts*dim*(dim+1)/2, &q_data_diff); 37 38 // Element Setup 39 for (CeedInt i=0; i<num_elem; 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 ind_x[P*(P*i+k)+j] = offset + k*(nx*2+1) + j; 47 } 48 49 // Restrictions 50 CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs, 51 CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 52 53 CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST, 54 CEED_USE_POINTER, ind_x, &elem_restr_u); 55 CeedInt strides_qd_mass[3] = {1, Q*Q, Q*Q}; 56 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, 1, num_qpts, 57 strides_qd_mass, 58 &elem_restr_qd_mass_i); 59 60 CeedInt strides_qd_diff[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2}; 61 CeedElemRestrictionCreateStrided(ceed, num_elem, Q*Q, dim*(dim+1)/2, 62 dim*(dim+1)/2*num_qpts, 63 strides_qd_diff, &elem_restr_qd_diff_i); 64 65 // Bases 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 68 69 // QFunction - setup mass 70 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, 71 &qf_setup_mass); 72 CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD); 73 CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT); 74 CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE); 75 76 // Operator - setup mass 77 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, 78 CEED_QFUNCTION_NONE, &op_setup_mass); 79 CeedOperatorSetField(op_setup_mass, "dx", elem_restr_x, basis_x, 80 CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, 82 basis_x, 83 CEED_VECTOR_NONE); 84 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass_i, 85 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 86 87 // QFunction - setup diff 88 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, 89 &qf_setup_diff); 90 CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD); 91 CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT); 92 CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE); 93 94 // Operator - setup diff 95 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, 96 CEED_QFUNCTION_NONE, &op_setup_diff); 97 CeedOperatorSetField(op_setup_diff, "dx", elem_restr_x, basis_x, 98 CEED_VECTOR_ACTIVE); 99 CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, 100 basis_x, 101 CEED_VECTOR_NONE); 102 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff_i, 103 CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 104 105 // Apply Setup Operators 106 CeedOperatorApply(op_setup_mass, X, q_data_mass, CEED_REQUEST_IMMEDIATE); 107 CeedOperatorApply(op_setup_diff, X, q_data_diff, CEED_REQUEST_IMMEDIATE); 108 109 // QFunction - apply 110 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 111 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 112 CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE); 113 CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE); 114 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 115 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 116 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 117 118 // Operator - apply 119 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, 120 &op_apply); 121 CeedOperatorSetField(op_apply, "du", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 122 CeedOperatorSetField(op_apply, "qdata_mass", elem_restr_qd_mass_i, 123 CEED_BASIS_COLLOCATED, q_data_mass); 124 CeedOperatorSetField(op_apply, "qdata_diff", elem_restr_qd_diff_i, 125 CEED_BASIS_COLLOCATED, q_data_diff); 126 CeedOperatorSetField(op_apply, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 127 CeedOperatorSetField(op_apply, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 128 CeedOperatorSetField(op_apply, "dv", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 129 130 // Apply original operator 131 CeedVectorCreate(ceed, num_dofs, &u); 132 CeedVectorSetValue(u, 1.0); 133 CeedVectorCreate(ceed, num_dofs, &v); 134 CeedVectorSetValue(v, 0.0); 135 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 136 137 // Check output 138 CeedScalar area = 0.0; 139 const CeedScalar *vv; 140 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 141 for (CeedInt i=0; i<num_dofs; i++) 142 area += vv[i]; 143 CeedVectorRestoreArrayRead(v, &vv); 144 if (fabs(area - 1.0) > 100.*CEED_EPSILON) 145 // LCOV_EXCL_START 146 printf("Error: True operator computed area = %f != 1.0\n", area); 147 // LCOV_EXCL_STOP 148 149 // Assemble QFunction 150 CeedOperatorLinearAssembleQFunction(op_apply, &A, &elem_restr_lin_i, 151 CEED_REQUEST_IMMEDIATE); 152 153 // QFunction - apply assembled 154 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin); 155 CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD); 156 CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE); 157 CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP); 158 CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP); 159 CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD); 160 161 // Operator - apply assembled 162 CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE, 163 CEED_QFUNCTION_NONE, &op_apply_lin); 164 CeedOperatorSetField(op_apply_lin, "du", elem_restr_u, basis_u, 165 CEED_VECTOR_ACTIVE); 166 CeedOperatorSetField(op_apply_lin, "qdata", elem_restr_lin_i, 167 CEED_BASIS_COLLOCATED, A); 168 CeedOperatorSetField(op_apply_lin, "u", elem_restr_u, basis_u, 169 CEED_VECTOR_ACTIVE); 170 CeedOperatorSetField(op_apply_lin, "v", elem_restr_u, basis_u, 171 CEED_VECTOR_ACTIVE); 172 CeedOperatorSetField(op_apply_lin, "dv", elem_restr_u, basis_u, 173 CEED_VECTOR_ACTIVE); 174 175 // Apply assembled QFunction operator 176 CeedVectorSetValue(v, 0.0); 177 CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE); 178 179 // Check output 180 area = 0.0; 181 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 182 for (CeedInt i=0; i<num_dofs; i++) 183 area += vv[i]; 184 CeedVectorRestoreArrayRead(v, &vv); 185 if (fabs(area - 1.0) > 100.*CEED_EPSILON) 186 // LCOV_EXCL_START 187 printf("Error: Assembled operator computed area = %f != 1.0\n", area); 188 // LCOV_EXCL_STOP 189 190 // Cleanup 191 CeedQFunctionDestroy(&qf_setup_mass); 192 CeedQFunctionDestroy(&qf_setup_diff); 193 CeedQFunctionDestroy(&qf_apply); 194 CeedQFunctionDestroy(&qf_apply_lin); 195 CeedOperatorDestroy(&op_setup_mass); 196 CeedOperatorDestroy(&op_setup_diff); 197 CeedOperatorDestroy(&op_apply); 198 CeedOperatorDestroy(&op_apply_lin); 199 CeedElemRestrictionDestroy(&elem_restr_u); 200 CeedElemRestrictionDestroy(&elem_restr_x); 201 CeedElemRestrictionDestroy(&elem_restr_qd_mass_i); 202 CeedElemRestrictionDestroy(&elem_restr_qd_diff_i); 203 CeedElemRestrictionDestroy(&elem_restr_lin_i); 204 CeedBasisDestroy(&basis_u); 205 CeedBasisDestroy(&basis_x); 206 CeedVectorDestroy(&X); 207 CeedVectorDestroy(&A); 208 CeedVectorDestroy(&q_data_mass); 209 CeedVectorDestroy(&q_data_diff); 210 CeedVectorDestroy(&u); 211 CeedVectorDestroy(&v); 212 CeedDestroy(&ceed); 213 return 0; 214 } 215