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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2018 Gavin Barill <gavinpcb@gmail.com>
//
// This Source Code Form is subject to the terms of the Mozilla Public License
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
// obtain one at http://mozilla.org/MPL/2.0/
#ifndef IGL_OCTREE
#define IGL_OCTREE
#include "igl_inline.h"
#include <Eigen/Core>
#include <vector>
namespace igl
{
/// Given a set of 3D points P, generate data structures for a pointerless
/// octree. Each cell stores its points, children, center location and width.
/// Our octree is not dense. We use the following rule: if the current cell
/// has any number of points, it will have all 8 children. A leaf cell will
/// have -1's as its list of child indices.
///
/// We use a binary numbering of children. Treating the parent cell's center
/// as the origin, we number the octants in the following manner:
/// The first bit is 1 iff the octant's x coordinate is positive
/// The second bit is 1 iff the octant's y coordinate is positive
/// The third bit is 1 iff the octant's z coordinate is positive
///
/// For example, the octant with negative x, positive y, positive z is:
/// 110 binary = 6 decimal
///
/// @param[in] P #P by 3 list of point locations
/// @param[out] point_indices a vector of vectors, where the ith entry is a
/// vector of the indices into P that are the ith octree cell's points
/// @param[out] CH #OctreeCells by 8, where the ith row is the indices of the
/// ith octree cell's children
/// @param[out] CN #OctreeCells by 3, where the ith row is a 3d row vector
/// representing the position of the ith cell's center
/// @param[out] W #OctreeCells, a vector where the ith entry is the width of
/// the ith octree cell
template <typename DerivedP, typename IndexType, typename DerivedCH,
typename DerivedCN, typename DerivedW>
IGL_INLINE void octree(const Eigen::MatrixBase<DerivedP>& P,
std::vector<std::vector<IndexType> > & point_indices,
Eigen::PlainObjectBase<DerivedCH>& CH,
Eigen::PlainObjectBase<DerivedCN>& CN,
Eigen::PlainObjectBase<DerivedW>& W);
}
#ifndef IGL_STATIC_LIBRARY
# include "octree.cpp"
#endif
#endif