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/*
* Copyright © 2005 Ondra Kamenik
* Copyright © 2019 Dynare Team
*
* This file is part of Dynare.
*
* Dynare is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Dynare is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Dynare. If not, see <https://www.gnu.org/licenses/>.
*/
// Faà Di Bruno evaluator
/* This defines a class which implements the Faà Di Bruno Formula
ₗ
[B_sᵏ]_α₁…αₗ = [f_zˡ]_β₁…βₗ ∑ ∏ [z_{s^|cₘ|}]_cₘ(α)^βₘ
c∈ℳₗ,ₖ ᵐ⁼¹
where sᵏ is a general symmetry of dimension k and z is a stack of
functions. */
#ifndef FAA_DI_BRUNO_H
#define FAA_DI_BRUNO_H
#include "journal.hh"
#include "stack_container.hh"
#include "t_container.hh"
#include "sparse_tensor.hh"
#include "gs_tensor.hh"
#include <tuple>
class FaaDiBruno
{
Journal &journal;
public:
FaaDiBruno(Journal &jr)
: journal(jr)
{
}
void calculate(const StackContainer<FGSTensor> &cont, const TensorContainer<FSSparseTensor> &f,
FGSTensor &out);
void calculate(const FoldedStackContainer &cont, const FGSContainer &g,
FGSTensor &out);
void calculate(const StackContainer<UGSTensor> &cont, const TensorContainer<FSSparseTensor> &f,
UGSTensor &out);
void calculate(const UnfoldedStackContainer &cont, const UGSContainer &g,
UGSTensor &out);
protected:
std::tuple<int, int, int> estimRefinement(const TensorDimens &tdims, int nr, int l);
// See FaaDiBruno::calculate() folded sparse code for why we have magic_mult
constexpr static double magic_mult = 1.5;
};
#endif
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