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mfem/fem/fe/face_map_utils.cpp
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// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced
// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
// LICENSE and NOTICE for details. LLNL-CODE-806117.
//
// This file is part of the MFEM library. For more information and source code
// availability visit https://mfem.org.
//
// MFEM is free software; you can redistribute it and/or modify it under the
// terms of the BSD-3 license. We welcome feedback and contributions, see file
// CONTRIBUTING.md for details.
// Finite Element Base classes
#include "face_map_utils.hpp"
#include <cmath> // std::pow
namespace mfem
{
namespace internal
{
std::pair<int,int> GetFaceNormal3D(const int face_id)
{
switch (face_id)
{
case 0: return std::make_pair(2, 0); // z = 0
case 1: return std::make_pair(1, 0); // y = 0
case 2: return std::make_pair(0, 1); // x = 1
case 3: return std::make_pair(1, 1); // y = 1
case 4: return std::make_pair(0, 0); // x = 0
case 5: return std::make_pair(2, 1); // z = 1
default: MFEM_ABORT("Invalid face ID.")
}
return std::make_pair(-1, -1); // invalid
}
void FillFaceMap(const int n_face_dofs_per_component,
const std::vector<int> &offsets,
const std::vector<int> &strides,
const std::vector<int> &n_dofs_per_dim,
Array<int> &face_map)
{
const int n_components = static_cast<int>(offsets.size());
const int face_dim = static_cast<int>(strides.size()) / n_components;
for (int comp = 0; comp < n_components; ++comp)
{
const int offset = offsets[comp];
for (int i = 0; i < n_face_dofs_per_component; ++i)
{
int idx = offset;
int j = i;
for (int d = 0; d < face_dim; ++d)
{
const int dof1d = n_dofs_per_dim[comp*(face_dim) + d];
idx += strides[comp*(face_dim) + d]*(j % dof1d);
j /= dof1d;
}
face_map[comp*n_face_dofs_per_component + i] = idx;
}
}
}
void GetTensorFaceMap(const int dim, const int order, const int face_id,
Array<int> &face_map)
{
const int dof1d = order + 1;
int n_face_dofs = int(std::pow(dof1d, dim - 1));
std::vector<int> offsets, strides;
switch (dim)
{
case 1:
offsets = {(face_id == 0) ? 0 : dof1d - 1};
break;
case 2:
strides = {(face_id == 0 || face_id == 2) ? 1 : dof1d};
switch (face_id)
{
case 0: offsets = {0}; break; // y = 0
case 1: offsets = {dof1d - 1}; break; // x = 1
case 2: offsets = {(dof1d-1)*dof1d}; break; // y = 1
case 3: offsets = {0}; break; // x = 0
}
break;
case 3:
{
const auto f = GetFaceNormal3D(face_id);
const int face_normal = f.first, level = f.second;
if (face_normal == 0) // x-normal
{
offsets = {level ? dof1d-1 : 0};
strides = {dof1d, dof1d*dof1d};
}
else if (face_normal == 1) // y-normal
{
offsets = {level ? (dof1d-1)*dof1d : 0};
strides = {1, dof1d*dof1d};
}
else if (face_normal == 2) // z-normal
{
offsets = {level ? (dof1d-1)*dof1d*dof1d : 0};
strides = {1, dof1d};
}
break;
}
}
// same number of DOFs in each dimension, repeat dof1d (dim - 1) times
std::vector<int> n_dofs(dim - 1, dof1d);
FillFaceMap(n_face_dofs, offsets, strides, n_dofs, face_map);
}
} // namespace internal
} // namespace mfem