1 // Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at 2 // the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights 3 // reserved. See files LICENSE and NOTICE for details. 4 // 5 // This file is part of CEED, a collection of benchmarks, miniapps, software 6 // libraries and APIs for efficient high-order finite element and spectral 7 // element discretizations for exascale applications. For more information and 8 // source code availability see http://github.com/ceed. 9 // 10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11 // a collaborative effort of two U.S. Department of Energy organizations (Office 12 // of Science and the National Nuclear Security Administration) responsible for 13 // the planning and preparation of a capable exascale ecosystem, including 14 // software, applications, hardware, advanced system engineering and early 15 // testbed platforms, in support of the nation's exascale computing imperative. 16 17 /// @file 18 /// Mass operator example using MFEM 19 #include <ceed.h> 20 #include <mfem.hpp> 21 22 #include "bp1.h" 23 24 /// Wrapper for a mass CeedOperator as an mfem::Operator 25 class CeedMassOperator : public mfem::Operator { 26 protected: 27 const mfem::FiniteElementSpace *fes; 28 CeedOperator build_oper, oper; 29 CeedBasis basis, mesh_basis; 30 CeedElemRestriction restr, mesh_restr, restr_i, mesh_restr_i; 31 CeedQFunction apply_qfunc, build_qfunc; 32 CeedVector node_coords, qdata; 33 CeedVector u, v; 34 35 BuildContext build_ctx; 36 37 static void FESpace2Ceed(const mfem::FiniteElementSpace *fes, 38 const mfem::IntegrationRule &ir, 39 Ceed ceed, CeedBasis *basis, 40 CeedElemRestriction *restr) { 41 mfem::Mesh *mesh = fes->GetMesh(); 42 const mfem::FiniteElement *fe = fes->GetFE(0); 43 const int order = fes->GetOrder(0); 44 mfem::Array<int> dof_map; 45 switch (mesh->Dimension()) { 46 case 1: { 47 const mfem::H1_SegmentElement *h1_fe = 48 dynamic_cast<const mfem::H1_SegmentElement *>(fe); 49 MFEM_VERIFY(h1_fe, "invalid FE"); 50 h1_fe->GetDofMap().Copy(dof_map); 51 break; 52 } 53 case 2: { 54 const mfem::H1_QuadrilateralElement *h1_fe = 55 dynamic_cast<const mfem::H1_QuadrilateralElement *>(fe); 56 MFEM_VERIFY(h1_fe, "invalid FE"); 57 h1_fe->GetDofMap().Copy(dof_map); 58 break; 59 } 60 case 3: { 61 const mfem::H1_HexahedronElement *h1_fe = 62 dynamic_cast<const mfem::H1_HexahedronElement *>(fe); 63 MFEM_VERIFY(h1_fe, "invalid FE"); 64 h1_fe->GetDofMap().Copy(dof_map); 65 break; 66 } 67 } 68 const mfem::FiniteElement *fe1d = 69 fes->FEColl()->FiniteElementForGeometry(mfem::Geometry::SEGMENT); 70 mfem::DenseMatrix shape1d(fe1d->GetDof(), ir.GetNPoints()); 71 mfem::DenseMatrix grad1d(fe1d->GetDof(), ir.GetNPoints()); 72 mfem::Vector qref1d(ir.GetNPoints()), qweight1d(ir.GetNPoints()); 73 mfem::Vector shape_i(shape1d.Height()); 74 mfem::DenseMatrix grad_i(grad1d.Height(), 1); 75 const mfem::H1_SegmentElement *h1_fe1d = 76 dynamic_cast<const mfem::H1_SegmentElement *>(fe1d); 77 MFEM_VERIFY(h1_fe1d, "invalid FE"); 78 const mfem::Array<int> &dof_map_1d = h1_fe1d->GetDofMap(); 79 for (int i = 0; i < ir.GetNPoints(); i++) { 80 const mfem::IntegrationPoint &ip = ir.IntPoint(i); 81 qref1d(i) = ip.x; 82 qweight1d(i) = ip.weight; 83 fe1d->CalcShape(ip, shape_i); 84 fe1d->CalcDShape(ip, grad_i); 85 for (int j = 0; j < shape1d.Height(); j++) { 86 shape1d(j,i) = shape_i(dof_map_1d[j]); 87 grad1d(j,i) = grad_i(dof_map_1d[j],0); 88 } 89 } 90 CeedBasisCreateTensorH1(ceed, mesh->Dimension(), fes->GetVDim(), order+1, 91 ir.GetNPoints(), shape1d.GetData(), 92 grad1d.GetData(), qref1d.GetData(), 93 qweight1d.GetData(), basis); 94 95 const mfem::Table &el_dof = fes->GetElementToDofTable(); 96 mfem::Array<int> tp_el_dof(el_dof.Size_of_connections()); 97 for (int i = 0; i < mesh->GetNE(); i++) { 98 const int el_offset = fe->GetDof()*i; 99 for (int j = 0; j < fe->GetDof(); j++) { 100 tp_el_dof[j + el_offset] = el_dof.GetJ()[dof_map[j] + el_offset]; 101 } 102 } 103 CeedElemRestrictionCreate(ceed, mesh->GetNE(), fe->GetDof(), 104 fes->GetVDim(), fes->GetNDofs(), 105 (fes->GetVDim())*(fes->GetNDofs()), 106 CEED_MEM_HOST, CEED_COPY_VALUES, 107 tp_el_dof.GetData(), restr); 108 } 109 110 public: 111 /// Constructor. Assumes @a fes is a scalar FE space. 112 CeedMassOperator(Ceed ceed, const mfem::FiniteElementSpace *fes) 113 : Operator(fes->GetNDofs()), 114 fes(fes) { 115 mfem::Mesh *mesh = fes->GetMesh(); 116 const int order = fes->GetOrder(0); 117 const int ir_order = 2*(order + 2) - 1; // <----- 118 const mfem::IntegrationRule &ir = 119 mfem::IntRules.Get(mfem::Geometry::SEGMENT, ir_order); 120 CeedInt nelem = mesh->GetNE(), dim = mesh->SpaceDimension(), 121 ncompx = dim, nqpts; 122 123 FESpace2Ceed(fes, ir, ceed, &basis, &restr); 124 125 const mfem::FiniteElementSpace *mesh_fes = mesh->GetNodalFESpace(); 126 MFEM_VERIFY(mesh_fes, "the Mesh has no nodal FE space"); 127 FESpace2Ceed(mesh_fes, ir, ceed, &mesh_basis, &mesh_restr); 128 CeedBasisGetNumQuadraturePoints(basis, &nqpts); 129 130 CeedInt strides[3] = {1, nqpts, nqpts}; 131 CeedElemRestrictionCreateStrided(ceed, nelem, nqpts, 1, nqpts*nelem, 132 strides, &restr_i); 133 134 CeedVectorCreate(ceed, mesh->GetNodes()->Size(), &node_coords); 135 CeedVectorSetArray(node_coords, CEED_MEM_HOST, CEED_USE_POINTER, 136 mesh->GetNodes()->GetData()); 137 138 CeedVectorCreate(ceed, nelem*nqpts, &qdata); 139 140 // Context data to be passed to the 'f_build_mass' Q-function. 141 build_ctx.dim = mesh->Dimension(); 142 build_ctx.space_dim = dim; 143 144 // Create the Q-function that builds the mass operator (i.e. computes its 145 // quadrature data) and set its context data. 146 CeedQFunctionCreateInterior(ceed, 1, f_build_mass, 147 f_build_mass_loc, &build_qfunc); 148 CeedQFunctionAddInput(build_qfunc, "dx", ncompx*dim, 149 CEED_EVAL_GRAD); 150 CeedQFunctionAddInput(build_qfunc, "weights", 1, CEED_EVAL_WEIGHT); 151 CeedQFunctionAddOutput(build_qfunc, "qdata", 1, CEED_EVAL_NONE); 152 CeedQFunctionSetContext(build_qfunc, &build_ctx, sizeof(build_ctx)); 153 154 // Create the operator that builds the quadrature data for the mass operator. 155 CeedOperatorCreate(ceed, build_qfunc, CEED_QFUNCTION_NONE, 156 CEED_QFUNCTION_NONE, &build_oper); 157 CeedOperatorSetField(build_oper, "dx", mesh_restr, mesh_basis, 158 CEED_VECTOR_ACTIVE); 159 CeedOperatorSetField(build_oper, "weights", CEED_ELEMRESTRICTION_NONE, 160 mesh_basis, CEED_VECTOR_NONE); 161 CeedOperatorSetField(build_oper, "qdata", restr_i, CEED_BASIS_COLLOCATED, 162 CEED_VECTOR_ACTIVE); 163 164 // Compute the quadrature data for the mass operator. 165 CeedOperatorApply(build_oper, node_coords, qdata, 166 CEED_REQUEST_IMMEDIATE); 167 168 // Create the Q-function that defines the action of the mass operator. 169 CeedQFunctionCreateInterior(ceed, 1, f_apply_mass, 170 f_apply_mass_loc, &apply_qfunc); 171 CeedQFunctionAddInput(apply_qfunc, "u", 1, CEED_EVAL_INTERP); 172 CeedQFunctionAddInput(apply_qfunc, "qdata", 1, CEED_EVAL_NONE); 173 CeedQFunctionAddOutput(apply_qfunc, "v", 1, CEED_EVAL_INTERP); 174 175 // Create the mass operator. 176 CeedOperatorCreate(ceed, apply_qfunc, CEED_QFUNCTION_NONE, 177 CEED_QFUNCTION_NONE, &oper); 178 CeedOperatorSetField(oper, "u", restr, basis, CEED_VECTOR_ACTIVE); 179 CeedOperatorSetField(oper, "qdata", restr_i, CEED_BASIS_COLLOCATED, qdata); 180 CeedOperatorSetField(oper, "v", restr, basis, CEED_VECTOR_ACTIVE); 181 182 CeedVectorCreate(ceed, fes->GetNDofs(), &u); 183 CeedVectorCreate(ceed, fes->GetNDofs(), &v); 184 } 185 186 /// Destructor 187 ~CeedMassOperator() { 188 CeedVectorDestroy(&u); 189 CeedVectorDestroy(&v); 190 CeedVectorDestroy(&qdata); 191 CeedVectorDestroy(&node_coords); 192 CeedOperatorDestroy(&build_oper); 193 CeedQFunctionDestroy(&build_qfunc); 194 CeedOperatorDestroy(&oper); 195 CeedQFunctionDestroy(&apply_qfunc); 196 CeedBasisDestroy(&basis); 197 CeedBasisDestroy(&mesh_basis); 198 CeedElemRestrictionDestroy(&restr); 199 CeedElemRestrictionDestroy(&mesh_restr); 200 CeedElemRestrictionDestroy(&restr_i); 201 } 202 203 /// Operator action 204 virtual void Mult(const mfem::Vector &x, mfem::Vector &y) const { 205 CeedVectorSetArray(u, CEED_MEM_HOST, CEED_USE_POINTER, x.GetData()); 206 CeedVectorSetArray(v, CEED_MEM_HOST, CEED_USE_POINTER, y.GetData()); 207 CeedOperatorApply(oper, u, v, CEED_REQUEST_IMMEDIATE); 208 CeedVectorSyncArray(v, CEED_MEM_HOST); 209 } 210 }; 211