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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2023 Alec Jacobson <alecjacobson@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_REDUX_H
#define IGL_REDUX_H
#include <Eigen/Core>
#include <Eigen/Sparse>
namespace igl
{
/// Perform reductions on the rows or columns of a SparseMatrix. This is
/// _similar_ to DenseBase::redux, but different in two important ways:
/// 1. (unstored) Zeros are **not** "visited", however if the first element
/// in the column/row does not appear in the first row/column then the
/// reduction is assumed to start with zero. In this way, "any", "all",
/// "count"(non-zeros) work as expected. This means it is **not** possible
/// to use this to count (implicit) zeros.
/// 2. This redux is more powerful in the sense that A and B may have
/// different types. This makes it possible to count the number of
/// non-zeros in a SparseMatrix<bool> A into a VectorXi B.
///
/// @param[in] A m by n sparse matrix
/// @param[in] dim dimension along which to sum (1 or 2)
/// @param[in] func function handle with the prototype `X(Y a, I i, J j, Z b)` where a
/// is the running value, b is A(i,j)
/// @param[out] S n-long sparse vector (if dim == 1) or m-long sparse vector
/// (if dim == 2)
///
/// \see for_each
template <typename AType, typename Func, typename DerivedB>
inline void redux(
const Eigen::SparseMatrix<AType> & A,
const int dim,
const Func & func,
Eigen::PlainObjectBase<DerivedB> & B);
}
// Implementation
#include "for_each.h"
template <typename AType, typename Func, typename DerivedB>
inline void igl::redux(
const Eigen::SparseMatrix<AType> & A,
const int dim,
const Func & func,
Eigen::PlainObjectBase<DerivedB> & B)
{
typedef typename Eigen::SparseMatrix<AType>::StorageIndex Index;
assert((dim == 1 || dim == 2) && "dim must be 2 or 1");
// Get size of input
int m = A.rows();
int n = A.cols();
// resize output
B = DerivedB::Zero(dim==1?n:m);
const auto func_wrap = [&func,&B,&dim](const Index i, const Index j, const AType v)
{
if(dim == 1)
{
B(j) = i == 0? v : func(B(j),v);
}else
{
B(i) = j == 0? v : func(B(i),v);
}
};
for_each(A,func_wrap);
}
//#ifndef IGL_STATIC_LIBRARY
//# include "redux.cpp"
//#endif
#endif