CepsContinuousFunctions.hpp

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/*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
   This file is part of CEPS.
 
   CEPS 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.
 
   CEPS 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 CEPS (see file LICENSE at root of project).
   If not, see <https://www.gnu.org/licenses/>.
 
 
   Copyright 2019-2024 Inria, Universite de Bordeaux
 
   Authors, in alphabetical order:
 
     Pierre-Elliott BECUE, Florian CARO, Yves COUDIERE(*), Andjela DAVIDOVIC, 
     Charlie DOUANLA-LONTSI, Marc FUENTES, Mehdi JUHOOR, Michael LEGUEBE(*), 
     Pauline MIGERDITICHAN, Valentin PANNETIER(*), Nejib ZEMZEMI.
     * : currently active authors
 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~*/
#pragma once
 
#include <unordered_map>
 
#include "Eigen/Dense"
#include "common/core/CepsTypes.hpp"
#include "common/math/CepsVertex.hpp"
 
namespace ceps
{
 
  namespace math
  {
 
    CepsReal
    polRef (CepsReal r);
  
    CepsReal
    d4Polynomial (CepsReal x);
  
    CepsReal
    d5Polynomial (CepsReal r);
  
    CepsReal
    cInfinityStim (CepsReal                    t,
                   CepsReal                    duration,
                   CepsReal                   *point,
                   const CepsVector<CepsReal> &orig,
                   CepsReal                    diam,
                   CepsReal                    amp);
  
    CepsReal
    constStim (CepsReal                    t,
               CepsReal                    duration,
               CepsReal                   *point,
               const CepsVector<CepsReal> &orig,
               CepsReal                    diam,
               CepsReal                    amp);
  
    CepsReal
    c4Stim (CepsReal                    t,
            CepsReal                    duration,
            CepsReal                   *point,
            const CepsVector<CepsReal> &orig,
            CepsReal                    diam,
            CepsReal                    amp);
  
    CepsReal
    c5Stim (CepsReal                    t,
            CepsReal                    duration,
            CepsReal                   *point,
            const CepsVector<CepsReal> &orig,
            CepsReal                    diam,
            CepsReal                    amp);
  
    CepsReal
    lagrangianPol4Pts (CepsReal x, CepsReal f0, CepsReal f1, 
                       CepsReal f2, CepsReal f3);
  
    CepsReal
    derivativeLagrangianPol4Pts (CepsReal x, CepsReal f0, CepsReal f1, 
                                 CepsReal f2, CepsReal f3);
  
    CepsReal
    newtonSolvePol4Pts (CepsReal f0, CepsReal f1, CepsReal f2, CepsReal f3, 
                        CepsReal c, CepsReal t0);
  
    
    constexpr CepsUInt
    factorial (CepsUInt n)
    {
      return (n == 0) ? 1 : n * factorial (n - 1);
    }
 
  } // namespace ceps::math
}  // namespace ceps