function.cpp

Go to the documentation of this file.

 
/*
 *  This file was generated automatically by function.py.
 *  Please do not modify it directly, edit function.cppy instead!
 *  function.py options: maxargs=14
 *
 *  GiNaC Copyright (C) 1999-2026 Johannes Gutenberg University Mainz, Germany
 *
 *  This program 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 2 of the License, or
 *  (at your option) any later version.
 *
 *  This program 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 this program.  If not, see <https://www.gnu.org/licenses/>.
 */
 
#include "function.h"
#include "operators.h"
#include "fderivative.h"
#include "ex.h"
#include "lst.h"
#include "symmetry.h"
#include "print.h"
#include "power.h"
#include "archive.h"
#include "inifcns.h"
#include "utils.h"
#include "hash_seed.h"
#include "remember.h"
 
#include <iostream>
#include <limits>
#include <list>
#include <stdexcept>
#include <string>
 
namespace GiNaC {
 
// helper class function_options
 
function_options::function_options()
{
    initialize();
}
 
function_options::function_options(std::string const & n, std::string const & tn)
{
    initialize();
    set_name(n, tn);
}
 
function_options::function_options(std::string const & n, unsigned np)
{
    initialize();
    set_name(n, std::string());
    nparams = np;
}
 
function_options::~function_options()
{
    // nothing to clean up at the moment
}
 
void function_options::initialize()
{
    set_name("unnamed_function", "\\mbox{unnamed}");
    nparams = 0;
    eval_f = evalf_f = real_part_f = imag_part_f = conjugate_f = expand_f
        = derivative_f = expl_derivative_f = power_f = series_f = nullptr;
    info_f = nullptr;
    evalf_params_first = true;
    use_return_type = false;
    eval_use_exvector_args = false;
    evalf_use_exvector_args = false;
    conjugate_use_exvector_args = false;
    real_part_use_exvector_args = false;
    imag_part_use_exvector_args = false;
    expand_use_exvector_args = false;
    derivative_use_exvector_args = false;
    expl_derivative_use_exvector_args = false;
    power_use_exvector_args = false;
    series_use_exvector_args = false;
    print_use_exvector_args = false;
    info_use_exvector_args = false;
    use_remember = false;
    functions_with_same_name = 1;
    symtree = 0;
}
 
function_options & function_options::set_name(std::string const & n,
                                              std::string const & tn)
{
    name = n;
    if (tn==std::string())
        TeX_name = "\\mbox{"+name+"}";
    else
        TeX_name = tn;
    return *this;
}
 
function_options & function_options::latex_name(std::string const & tn)
{
    TeX_name = tn;
    return *this;
}
 
// the following lines have been generated for max. 14 parameters
function_options & function_options::eval_func(eval_funcp_1 e) 
{
    test_and_set_nparams(1);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_2 e) 
{
    test_and_set_nparams(2);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_3 e) 
{
    test_and_set_nparams(3);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_4 e) 
{
    test_and_set_nparams(4);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_5 e) 
{
    test_and_set_nparams(5);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_6 e) 
{
    test_and_set_nparams(6);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_7 e) 
{
    test_and_set_nparams(7);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_8 e) 
{
    test_and_set_nparams(8);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_9 e) 
{
    test_and_set_nparams(9);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_10 e) 
{
    test_and_set_nparams(10);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_11 e) 
{
    test_and_set_nparams(11);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_12 e) 
{
    test_and_set_nparams(12);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_13 e) 
{
    test_and_set_nparams(13);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::eval_func(eval_funcp_14 e) 
{
    test_and_set_nparams(14);
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_1 e) 
{
    test_and_set_nparams(1);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_2 e) 
{
    test_and_set_nparams(2);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_3 e) 
{
    test_and_set_nparams(3);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_4 e) 
{
    test_and_set_nparams(4);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_5 e) 
{
    test_and_set_nparams(5);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_6 e) 
{
    test_and_set_nparams(6);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_7 e) 
{
    test_and_set_nparams(7);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_8 e) 
{
    test_and_set_nparams(8);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_9 e) 
{
    test_and_set_nparams(9);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_10 e) 
{
    test_and_set_nparams(10);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_11 e) 
{
    test_and_set_nparams(11);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_12 e) 
{
    test_and_set_nparams(12);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_13 e) 
{
    test_and_set_nparams(13);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_14 e) 
{
    test_and_set_nparams(14);
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_1 e) 
{
    test_and_set_nparams(1);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_2 e) 
{
    test_and_set_nparams(2);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_3 e) 
{
    test_and_set_nparams(3);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_4 e) 
{
    test_and_set_nparams(4);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_5 e) 
{
    test_and_set_nparams(5);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_6 e) 
{
    test_and_set_nparams(6);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_7 e) 
{
    test_and_set_nparams(7);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_8 e) 
{
    test_and_set_nparams(8);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_9 e) 
{
    test_and_set_nparams(9);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_10 e) 
{
    test_and_set_nparams(10);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_11 e) 
{
    test_and_set_nparams(11);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_12 e) 
{
    test_and_set_nparams(12);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_13 e) 
{
    test_and_set_nparams(13);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_14 e) 
{
    test_and_set_nparams(14);
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_1 e) 
{
    test_and_set_nparams(1);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_2 e) 
{
    test_and_set_nparams(2);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_3 e) 
{
    test_and_set_nparams(3);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_4 e) 
{
    test_and_set_nparams(4);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_5 e) 
{
    test_and_set_nparams(5);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_6 e) 
{
    test_and_set_nparams(6);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_7 e) 
{
    test_and_set_nparams(7);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_8 e) 
{
    test_and_set_nparams(8);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_9 e) 
{
    test_and_set_nparams(9);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_10 e) 
{
    test_and_set_nparams(10);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_11 e) 
{
    test_and_set_nparams(11);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_12 e) 
{
    test_and_set_nparams(12);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_13 e) 
{
    test_and_set_nparams(13);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_14 e) 
{
    test_and_set_nparams(14);
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_1 e) 
{
    test_and_set_nparams(1);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_2 e) 
{
    test_and_set_nparams(2);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_3 e) 
{
    test_and_set_nparams(3);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_4 e) 
{
    test_and_set_nparams(4);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_5 e) 
{
    test_and_set_nparams(5);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_6 e) 
{
    test_and_set_nparams(6);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_7 e) 
{
    test_and_set_nparams(7);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_8 e) 
{
    test_and_set_nparams(8);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_9 e) 
{
    test_and_set_nparams(9);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_10 e) 
{
    test_and_set_nparams(10);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_11 e) 
{
    test_and_set_nparams(11);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_12 e) 
{
    test_and_set_nparams(12);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_13 e) 
{
    test_and_set_nparams(13);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_14 e) 
{
    test_and_set_nparams(14);
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_1 e) 
{
    test_and_set_nparams(1);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_2 e) 
{
    test_and_set_nparams(2);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_3 e) 
{
    test_and_set_nparams(3);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_4 e) 
{
    test_and_set_nparams(4);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_5 e) 
{
    test_and_set_nparams(5);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_6 e) 
{
    test_and_set_nparams(6);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_7 e) 
{
    test_and_set_nparams(7);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_8 e) 
{
    test_and_set_nparams(8);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_9 e) 
{
    test_and_set_nparams(9);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_10 e) 
{
    test_and_set_nparams(10);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_11 e) 
{
    test_and_set_nparams(11);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_12 e) 
{
    test_and_set_nparams(12);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_13 e) 
{
    test_and_set_nparams(13);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_14 e) 
{
    test_and_set_nparams(14);
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_1 e) 
{
    test_and_set_nparams(1);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_2 e) 
{
    test_and_set_nparams(2);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_3 e) 
{
    test_and_set_nparams(3);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_4 e) 
{
    test_and_set_nparams(4);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_5 e) 
{
    test_and_set_nparams(5);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_6 e) 
{
    test_and_set_nparams(6);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_7 e) 
{
    test_and_set_nparams(7);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_8 e) 
{
    test_and_set_nparams(8);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_9 e) 
{
    test_and_set_nparams(9);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_10 e) 
{
    test_and_set_nparams(10);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_11 e) 
{
    test_and_set_nparams(11);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_12 e) 
{
    test_and_set_nparams(12);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_13 e) 
{
    test_and_set_nparams(13);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_14 e) 
{
    test_and_set_nparams(14);
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_1 e) 
{
    test_and_set_nparams(1);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_2 e) 
{
    test_and_set_nparams(2);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_3 e) 
{
    test_and_set_nparams(3);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_4 e) 
{
    test_and_set_nparams(4);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_5 e) 
{
    test_and_set_nparams(5);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_6 e) 
{
    test_and_set_nparams(6);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_7 e) 
{
    test_and_set_nparams(7);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_8 e) 
{
    test_and_set_nparams(8);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_9 e) 
{
    test_and_set_nparams(9);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_10 e) 
{
    test_and_set_nparams(10);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_11 e) 
{
    test_and_set_nparams(11);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_12 e) 
{
    test_and_set_nparams(12);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_13 e) 
{
    test_and_set_nparams(13);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_14 e) 
{
    test_and_set_nparams(14);
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_1 e) 
{
    test_and_set_nparams(1);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_2 e) 
{
    test_and_set_nparams(2);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_3 e) 
{
    test_and_set_nparams(3);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_4 e) 
{
    test_and_set_nparams(4);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_5 e) 
{
    test_and_set_nparams(5);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_6 e) 
{
    test_and_set_nparams(6);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_7 e) 
{
    test_and_set_nparams(7);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_8 e) 
{
    test_and_set_nparams(8);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_9 e) 
{
    test_and_set_nparams(9);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_10 e) 
{
    test_and_set_nparams(10);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_11 e) 
{
    test_and_set_nparams(11);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_12 e) 
{
    test_and_set_nparams(12);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_13 e) 
{
    test_and_set_nparams(13);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_14 e) 
{
    test_and_set_nparams(14);
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_1 e) 
{
    test_and_set_nparams(1);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_2 e) 
{
    test_and_set_nparams(2);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_3 e) 
{
    test_and_set_nparams(3);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_4 e) 
{
    test_and_set_nparams(4);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_5 e) 
{
    test_and_set_nparams(5);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_6 e) 
{
    test_and_set_nparams(6);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_7 e) 
{
    test_and_set_nparams(7);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_8 e) 
{
    test_and_set_nparams(8);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_9 e) 
{
    test_and_set_nparams(9);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_10 e) 
{
    test_and_set_nparams(10);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_11 e) 
{
    test_and_set_nparams(11);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_12 e) 
{
    test_and_set_nparams(12);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_13 e) 
{
    test_and_set_nparams(13);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_14 e) 
{
    test_and_set_nparams(14);
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_1 e) 
{
    test_and_set_nparams(1);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_2 e) 
{
    test_and_set_nparams(2);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_3 e) 
{
    test_and_set_nparams(3);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_4 e) 
{
    test_and_set_nparams(4);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_5 e) 
{
    test_and_set_nparams(5);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_6 e) 
{
    test_and_set_nparams(6);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_7 e) 
{
    test_and_set_nparams(7);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_8 e) 
{
    test_and_set_nparams(8);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_9 e) 
{
    test_and_set_nparams(9);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_10 e) 
{
    test_and_set_nparams(10);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_11 e) 
{
    test_and_set_nparams(11);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_12 e) 
{
    test_and_set_nparams(12);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_13 e) 
{
    test_and_set_nparams(13);
    info_f = info_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_14 e) 
{
    test_and_set_nparams(14);
    info_f = info_funcp(e);
    return *this;
}
// end of generated lines
 
function_options & function_options::eval_func(eval_funcp_exvector e)
{
    eval_use_exvector_args = true;
    eval_f = eval_funcp(e);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_exvector e)
{
    evalf_use_exvector_args = true;
    evalf_f = evalf_funcp(e);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_exvector e)
{
    conjugate_use_exvector_args = true;
    conjugate_f = conjugate_funcp(e);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_exvector e)
{
    real_part_use_exvector_args = true;
    real_part_f = real_part_funcp(e);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_exvector e)
{
    imag_part_use_exvector_args = true;
    imag_part_f = imag_part_funcp(e);
    return *this;
}
function_options & function_options::expand_func(expand_funcp_exvector e)
{
    expand_use_exvector_args = true;
    expand_f = expand_funcp(e);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_exvector e)
{
    derivative_use_exvector_args = true;
    derivative_f = derivative_funcp(e);
    return *this;
}
function_options & function_options::expl_derivative_func(expl_derivative_funcp_exvector e)
{
    expl_derivative_use_exvector_args = true;
    expl_derivative_f = expl_derivative_funcp(e);
    return *this;
}
function_options & function_options::power_func(power_funcp_exvector e)
{
    power_use_exvector_args = true;
    power_f = power_funcp(e);
    return *this;
}
function_options & function_options::series_func(series_funcp_exvector e)
{
    series_use_exvector_args = true;
    series_f = series_funcp(e);
    return *this;
}
function_options & function_options::info_func(info_funcp_exvector e)
{
    info_use_exvector_args = true;
    info_f = info_funcp(e);
    return *this;
}
 
// end of generated lines
 
function_options & function_options::set_return_type(unsigned rt, const return_type_t* rtt)
{
    use_return_type = true;
    return_type = rt;
    if (rtt != nullptr)
        return_type_tinfo = *rtt;
    else
        return_type_tinfo = make_return_type_t<function>();
    return *this;
}
 
function_options & function_options::do_not_evalf_params()
{
    evalf_params_first = false;
    return *this;
}
 
function_options & function_options::remember(unsigned size,
                                              unsigned assoc_size,
                                              unsigned strategy)
{
    use_remember = true;
    remember_size = size;
    remember_assoc_size = assoc_size;
    remember_strategy = strategy;
    return *this;
}
 
function_options & function_options::overloaded(unsigned o)
{
    functions_with_same_name = o;
    return *this;
}
 
function_options & function_options::set_symmetry(const symmetry & s)
{
    symtree = s;
    return *this;
}
    
void function_options::test_and_set_nparams(unsigned n)
{
    if (nparams==0) {
        nparams = n;
    } else if (nparams!=n) {
        // we do not throw an exception here because this code is
        // usually executed before main(), so the exception could not
        // be caught anyhow
        std::cerr << "WARNING: " << name << "(): number of parameters ("
                  << n << ") differs from number set before (" 
                  << nparams << ")" << std::endl;
    }
}
 
void function_options::set_print_func(unsigned id, print_funcp f)
{
    if (id >= print_dispatch_table.size())
        print_dispatch_table.resize(id + 1);
    print_dispatch_table[id] = f;
}
 
unsigned function::current_serial = 0;
 
 
GINAC_IMPLEMENT_REGISTERED_CLASS(function, exprseq)
 
 
// default constructor
 
// public
 
function::function() : serial(0)
{
}
 
// other constructors
 
// public
 
function::function(unsigned ser) : serial(ser)
{
}
 
// the following lines have been generated for max. 14 parameters
function::function(unsigned ser, const ex & param1)
    : exprseq{param1}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2)
    : exprseq{param1, param2}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3)
    : exprseq{param1, param2, param3}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4)
    : exprseq{param1, param2, param3, param4}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5)
    : exprseq{param1, param2, param3, param4, param5}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6)
    : exprseq{param1, param2, param3, param4, param5, param6}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7)
    : exprseq{param1, param2, param3, param4, param5, param6, param7}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9, const ex & param10)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9, param10}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9, const ex & param10, const ex & param11)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9, param10, param11}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9, const ex & param10, const ex & param11, const ex & param12)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9, param10, param11, param12}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9, const ex & param10, const ex & param11, const ex & param12, const ex & param13)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9, param10, param11, param12, param13}, serial(ser)
{
}
function::function(unsigned ser, const ex & param1, const ex & param2, const ex & param3, const ex & param4, const ex & param5, const ex & param6, const ex & param7, const ex & param8, const ex & param9, const ex & param10, const ex & param11, const ex & param12, const ex & param13, const ex & param14)
    : exprseq{param1, param2, param3, param4, param5, param6, param7, param8, param9, param10, param11, param12, param13, param14}, serial(ser)
{
}
 
function::function(unsigned ser, const exprseq & es) : exprseq(es), serial(ser)
{
 
    // Force re-evaluation even if the exprseq was already evaluated
    // (the exprseq copy constructor copies the flags)
    clearflag(status_flags::evaluated);
}
 
function::function(unsigned ser, const exvector & v)
  : exprseq(v), serial(ser)
{
}
 
function::function(unsigned ser, exvector && v)
  : exprseq(std::move(v)), serial(ser)
{
}
 
// archiving
 
void function::read_archive(const archive_node& n, lst& sym_lst)
{
    inherited::read_archive(n, sym_lst);
    // Find serial number by function name and number of parameters
    unsigned np = seq.size();
    std::string s;
    if (n.find_string("name", s)) {
        unsigned int ser = 0;
        for (auto & it : registered_functions()) {
            if (s == it.name && np == registered_functions()[ser].nparams) {
                serial = ser;
                return;
            }
            ++ser;
        }
        throw (std::runtime_error("unknown function '" + s +
                                  "' with " + std::to_string(np) + " parameters in archive"));
    } else
        throw (std::runtime_error("unnamed function in archive"));
}
 
void function::archive(archive_node &n) const
{
    inherited::archive(n);
    GINAC_ASSERT(serial < registered_functions().size());
    n.add_string("name", registered_functions()[serial].name);
}
 
GINAC_BIND_UNARCHIVER(function);
 
// functions overriding virtual functions from base classes
 
// public
 
void function::print(const print_context & c, unsigned level) const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
    const std::vector<print_funcp> &pdt = opt.print_dispatch_table;
 
    // Dynamically dispatch on print_context type
    const print_context_class_info *pc_info = &c.get_class_info();
 
next_context:
    unsigned id = pc_info->options.get_id();
    if (id >= pdt.size() || pdt[id] == nullptr) {
 
        // Method not found, try parent print_context class
        const print_context_class_info *parent_pc_info = pc_info->get_parent();
        if (parent_pc_info) {
            pc_info = parent_pc_info;
            goto next_context;
        }
 
        // Method still not found, use default output
        if (is_a<print_tree>(c)) {
 
            c.s << std::string(level, ' ') << class_name() << " "
                << opt.name << " @" << this
                << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
                << ", nops=" << nops()
                << std::endl;
            unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
            for (size_t i=0; i<seq.size(); ++i)
                seq[i].print(c, level + delta_indent);
            c.s << std::string(level + delta_indent, ' ') << "=====" << std::endl;
 
        } else if (is_a<print_csrc>(c)) {
 
            // Print function name in lowercase
            std::string lname = opt.name;
            size_t num = lname.size();
            for (size_t i=0; i<num; i++)
                lname[i] = tolower(lname[i]);
            c.s << lname;
            printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
 
        } else if (is_a<print_latex>(c)) {
            c.s << opt.TeX_name;
            printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
        } else {
            c.s << opt.name;
            printseq(c, '(', ',', ')', exprseq::precedence(), function::precedence());
        }
 
    } else {
 
        // Method found, call it
        current_serial = serial;
        if (opt.print_use_exvector_args)
            ((print_funcp_exvector)pdt[id])(seq, c);
        else switch (opt.nparams) {
            // the following lines have been generated for max. 14 parameters
            case 1:
                ((print_funcp_1)(pdt[id]))(seq[0], c);
                break;
            case 2:
                ((print_funcp_2)(pdt[id]))(seq[0], seq[1], c);
                break;
            case 3:
                ((print_funcp_3)(pdt[id]))(seq[0], seq[1], seq[2], c);
                break;
            case 4:
                ((print_funcp_4)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], c);
                break;
            case 5:
                ((print_funcp_5)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], c);
                break;
            case 6:
                ((print_funcp_6)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], c);
                break;
            case 7:
                ((print_funcp_7)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], c);
                break;
            case 8:
                ((print_funcp_8)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], c);
                break;
            case 9:
                ((print_funcp_9)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], c);
                break;
            case 10:
                ((print_funcp_10)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], c);
                break;
            case 11:
                ((print_funcp_11)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], c);
                break;
            case 12:
                ((print_funcp_12)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], c);
                break;
            case 13:
                ((print_funcp_13)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], c);
                break;
            case 14:
                ((print_funcp_14)(pdt[id]))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], c);
                break;
            // end of generated lines
        default:
            throw(std::logic_error("function::print(): invalid nparams"));
        }
    }
}
 
ex function::eval() const
{
    if (flags & status_flags::evaluated) {
        return *this;
    }
 
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    // Canonicalize argument order according to the symmetry properties
    if (seq.size() > 1 && !(opt.symtree.is_zero())) {
        exvector v = seq;
        GINAC_ASSERT(is_a<symmetry>(opt.symtree));
        int sig = canonicalize(v.begin(), ex_to<symmetry>(opt.symtree));
        if (sig != std::numeric_limits<int>::max()) {
            // Something has changed while sorting arguments, more evaluations later
            if (sig == 0)
                return _ex0;
            return ex(sig) * thiscontainer(std::move(v));
        }
    }
 
    if (opt.eval_f==nullptr) {
        return this->hold();
    }
 
    bool use_remember = opt.use_remember;
    ex eval_result;
    if (use_remember && lookup_remember_table(eval_result)) {
        return eval_result;
    }
    current_serial = serial;
    if (opt.eval_use_exvector_args)
        eval_result = ((eval_funcp_exvector)(opt.eval_f))(seq);
    else
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            eval_result = ((eval_funcp_1)(opt.eval_f))(seq[0]);
            break;
        case 2:
            eval_result = ((eval_funcp_2)(opt.eval_f))(seq[0], seq[1]);
            break;
        case 3:
            eval_result = ((eval_funcp_3)(opt.eval_f))(seq[0], seq[1], seq[2]);
            break;
        case 4:
            eval_result = ((eval_funcp_4)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3]);
            break;
        case 5:
            eval_result = ((eval_funcp_5)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4]);
            break;
        case 6:
            eval_result = ((eval_funcp_6)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5]);
            break;
        case 7:
            eval_result = ((eval_funcp_7)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6]);
            break;
        case 8:
            eval_result = ((eval_funcp_8)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7]);
            break;
        case 9:
            eval_result = ((eval_funcp_9)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8]);
            break;
        case 10:
            eval_result = ((eval_funcp_10)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9]);
            break;
        case 11:
            eval_result = ((eval_funcp_11)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10]);
            break;
        case 12:
            eval_result = ((eval_funcp_12)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11]);
            break;
        case 13:
            eval_result = ((eval_funcp_13)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12]);
            break;
        case 14:
            eval_result = ((eval_funcp_14)(opt.eval_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13]);
            break;
        // end of generated lines
    default:
        throw(std::logic_error("function::eval(): invalid nparams"));
    }
    if (use_remember) {
        store_remember_table(eval_result);
    }
    return eval_result;
}
 
ex function::evalf() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    // Evaluate children first
    exvector eseq;
    if (!opt.evalf_params_first)
        eseq = seq;
    else {
        eseq.reserve(seq.size());
        for (auto & it : seq) {
            eseq.push_back(it.evalf());
        }
    }
 
    if (opt.evalf_f==nullptr) {
        return function(serial,eseq).hold();
    }
    current_serial = serial;
    if (opt.evalf_use_exvector_args)
        return ((evalf_funcp_exvector)(opt.evalf_f))(eseq);
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            return ((evalf_funcp_1)(opt.evalf_f))(eseq[0]);
        case 2:
            return ((evalf_funcp_2)(opt.evalf_f))(eseq[0], eseq[1]);
        case 3:
            return ((evalf_funcp_3)(opt.evalf_f))(eseq[0], eseq[1], eseq[2]);
        case 4:
            return ((evalf_funcp_4)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3]);
        case 5:
            return ((evalf_funcp_5)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4]);
        case 6:
            return ((evalf_funcp_6)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5]);
        case 7:
            return ((evalf_funcp_7)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6]);
        case 8:
            return ((evalf_funcp_8)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7]);
        case 9:
            return ((evalf_funcp_9)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8]);
        case 10:
            return ((evalf_funcp_10)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8], eseq[9]);
        case 11:
            return ((evalf_funcp_11)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8], eseq[9], eseq[10]);
        case 12:
            return ((evalf_funcp_12)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8], eseq[9], eseq[10], eseq[11]);
        case 13:
            return ((evalf_funcp_13)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8], eseq[9], eseq[10], eseq[11], eseq[12]);
        case 14:
            return ((evalf_funcp_14)(opt.evalf_f))(eseq[0], eseq[1], eseq[2], eseq[3], eseq[4], eseq[5], eseq[6], eseq[7], eseq[8], eseq[9], eseq[10], eseq[11], eseq[12], eseq[13]);
        // end of generated lines
    }
    throw(std::logic_error("function::evalf(): invalid nparams"));
}
 
ex function::eval_ncmul(const exvector & v) const
{
    // If this function is called then the list of arguments is non-empty
    // and the first argument is non-commutative, see  function::return_type()
    return seq.begin()->eval_ncmul(v);
}
 
unsigned function::calchash() const
{
    unsigned v = golden_ratio_hash(make_hash_seed(typeid(*this)) ^ serial);
    for (size_t i=0; i<nops(); i++) {
        v = rotate_left(v);
        v ^= this->op(i).gethash();
    }
 
    if (flags & status_flags::evaluated) {
        setflag(status_flags::hash_calculated);
        hashvalue = v;
    }
    return v;
}
 
ex function::thiscontainer(const exvector & v) const
{
    return function(serial, v);
}
 
ex function::thiscontainer(exvector && v) const
{
    return function(serial, std::move(v));
}
 
ex function::series(const relational & r, int order, unsigned options) const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    if (opt.series_f==nullptr) {
        return basic::series(r, order);
    }
    ex res;
    current_serial = serial;
    if (opt.series_use_exvector_args) {
        try {
            res = ((series_funcp_exvector)(opt.series_f))(seq, r, order, options);
        } catch (do_taylor) {
            res = basic::series(r, order, options);
        }
        return res;
    }
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            try {
                res = ((series_funcp_1)(opt.series_f))(seq[0], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 2:
            try {
                res = ((series_funcp_2)(opt.series_f))(seq[0], seq[1], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 3:
            try {
                res = ((series_funcp_3)(opt.series_f))(seq[0], seq[1], seq[2], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 4:
            try {
                res = ((series_funcp_4)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 5:
            try {
                res = ((series_funcp_5)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 6:
            try {
                res = ((series_funcp_6)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 7:
            try {
                res = ((series_funcp_7)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 8:
            try {
                res = ((series_funcp_8)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 9:
            try {
                res = ((series_funcp_9)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 10:
            try {
                res = ((series_funcp_10)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 11:
            try {
                res = ((series_funcp_11)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 12:
            try {
                res = ((series_funcp_12)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 13:
            try {
                res = ((series_funcp_13)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        case 14:
            try {
                res = ((series_funcp_14)(opt.series_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], r, order, options);
            } catch (do_taylor) {
                res = basic::series(r, order, options);
            }
            return res;
        // end of generated lines
    }
    throw(std::logic_error("function::series(): invalid nparams"));
}
 
ex function::conjugate() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options & opt = registered_functions()[serial];
 
    if (opt.conjugate_f==nullptr) {
        return conjugate_function(*this).hold();
    }
 
    if (opt.conjugate_use_exvector_args) {
        return ((conjugate_funcp_exvector)(opt.conjugate_f))(seq);
    }
 
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            return ((conjugate_funcp_1)(opt.conjugate_f))(seq[0]);
        case 2:
            return ((conjugate_funcp_2)(opt.conjugate_f))(seq[0], seq[1]);
        case 3:
            return ((conjugate_funcp_3)(opt.conjugate_f))(seq[0], seq[1], seq[2]);
        case 4:
            return ((conjugate_funcp_4)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3]);
        case 5:
            return ((conjugate_funcp_5)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4]);
        case 6:
            return ((conjugate_funcp_6)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5]);
        case 7:
            return ((conjugate_funcp_7)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6]);
        case 8:
            return ((conjugate_funcp_8)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7]);
        case 9:
            return ((conjugate_funcp_9)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8]);
        case 10:
            return ((conjugate_funcp_10)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9]);
        case 11:
            return ((conjugate_funcp_11)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10]);
        case 12:
            return ((conjugate_funcp_12)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11]);
        case 13:
            return ((conjugate_funcp_13)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12]);
        case 14:
            return ((conjugate_funcp_14)(opt.conjugate_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13]);
        // end of generated lines
    }
    throw(std::logic_error("function::conjugate(): invalid nparams"));
}
 
ex function::real_part() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options & opt = registered_functions()[serial];
 
    if (opt.real_part_f==nullptr)
        return basic::real_part();
 
    if (opt.real_part_use_exvector_args)
        return ((real_part_funcp_exvector)(opt.real_part_f))(seq);
 
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            return ((real_part_funcp_1)(opt.real_part_f))(seq[0]);
        case 2:
            return ((real_part_funcp_2)(opt.real_part_f))(seq[0], seq[1]);
        case 3:
            return ((real_part_funcp_3)(opt.real_part_f))(seq[0], seq[1], seq[2]);
        case 4:
            return ((real_part_funcp_4)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3]);
        case 5:
            return ((real_part_funcp_5)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4]);
        case 6:
            return ((real_part_funcp_6)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5]);
        case 7:
            return ((real_part_funcp_7)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6]);
        case 8:
            return ((real_part_funcp_8)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7]);
        case 9:
            return ((real_part_funcp_9)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8]);
        case 10:
            return ((real_part_funcp_10)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9]);
        case 11:
            return ((real_part_funcp_11)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10]);
        case 12:
            return ((real_part_funcp_12)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11]);
        case 13:
            return ((real_part_funcp_13)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12]);
        case 14:
            return ((real_part_funcp_14)(opt.real_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13]);
        // end of generated lines
    }
    throw(std::logic_error("function::real_part(): invalid nparams"));
}
 
ex function::imag_part() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options & opt = registered_functions()[serial];
 
    if (opt.imag_part_f==nullptr)
        return basic::imag_part();
 
    if (opt.imag_part_use_exvector_args)
        return ((imag_part_funcp_exvector)(opt.imag_part_f))(seq);
 
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            return ((imag_part_funcp_1)(opt.imag_part_f))(seq[0]);
        case 2:
            return ((imag_part_funcp_2)(opt.imag_part_f))(seq[0], seq[1]);
        case 3:
            return ((imag_part_funcp_3)(opt.imag_part_f))(seq[0], seq[1], seq[2]);
        case 4:
            return ((imag_part_funcp_4)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3]);
        case 5:
            return ((imag_part_funcp_5)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4]);
        case 6:
            return ((imag_part_funcp_6)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5]);
        case 7:
            return ((imag_part_funcp_7)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6]);
        case 8:
            return ((imag_part_funcp_8)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7]);
        case 9:
            return ((imag_part_funcp_9)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8]);
        case 10:
            return ((imag_part_funcp_10)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9]);
        case 11:
            return ((imag_part_funcp_11)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10]);
        case 12:
            return ((imag_part_funcp_12)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11]);
        case 13:
            return ((imag_part_funcp_13)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12]);
        case 14:
            return ((imag_part_funcp_14)(opt.imag_part_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13]);
        // end of generated lines
    }
    throw(std::logic_error("function::imag_part(): invalid nparams"));
}
 
bool function::info(unsigned inf) const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options & opt = registered_functions()[serial];
 
    if (opt.info_f==nullptr) {
        return basic::info(inf);
    }
 
    if (opt.info_use_exvector_args) {
        return ((info_funcp_exvector)(opt.info_f))(seq, inf);
    }
 
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
        case 1:
            return ((info_funcp_1)(opt.info_f))(seq[0], inf);
        case 2:
            return ((info_funcp_2)(opt.info_f))(seq[0], seq[1], inf);
        case 3:
            return ((info_funcp_3)(opt.info_f))(seq[0], seq[1], seq[2], inf);
        case 4:
            return ((info_funcp_4)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], inf);
        case 5:
            return ((info_funcp_5)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], inf);
        case 6:
            return ((info_funcp_6)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], inf);
        case 7:
            return ((info_funcp_7)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], inf);
        case 8:
            return ((info_funcp_8)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], inf);
        case 9:
            return ((info_funcp_9)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], inf);
        case 10:
            return ((info_funcp_10)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], inf);
        case 11:
            return ((info_funcp_11)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], inf);
        case 12:
            return ((info_funcp_12)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], inf);
        case 13:
            return ((info_funcp_13)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], inf);
        case 14:
            return ((info_funcp_14)(opt.info_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], inf);
        // end of generated lines
    }
    throw(std::logic_error("function::info(): invalid nparams"));
}
 
// protected
 
ex function::derivative(const symbol & s) const
{
    ex result;
 
    try {
        // Explicit derivation
        result = expl_derivative(s);
    } catch (...) {
        // Chain rule
        ex arg_diff;
        size_t num = seq.size();
        for (size_t i=0; i<num; i++) {
            arg_diff = seq[i].diff(s);
            // We apply the chain rule only when it makes sense.  This is not
            // just for performance reasons but also to allow functions to
            // throw when differentiated with respect to one of its arguments
            // without running into trouble with our automatic full
            // differentiation:
            if (!arg_diff.is_zero())
                result += pderivative(i)*arg_diff;
        }
    }
    return result;
}
 
int function::compare_same_type(const basic & other) const
{
    GINAC_ASSERT(is_a<function>(other));
    const function & o = static_cast<const function &>(other);
 
    if (serial != o.serial)
        return serial < o.serial ? -1 : 1;
    else
        return exprseq::compare_same_type(o);
}
 
bool function::is_equal_same_type(const basic & other) const
{
    GINAC_ASSERT(is_a<function>(other));
    const function & o = static_cast<const function &>(other);
 
    if (serial != o.serial)
        return false;
    else
        return exprseq::is_equal_same_type(o);
}
 
bool function::match_same_type(const basic & other) const
{
    GINAC_ASSERT(is_a<function>(other));
    const function & o = static_cast<const function &>(other);
 
    return serial == o.serial;
}
 
unsigned function::return_type() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    if (opt.use_return_type) {
        // Return type was explicitly specified
        return opt.return_type;
    } else {
        // Default behavior is to use the return type of the first
        // argument. Thus, exp() of a matrix behaves like a matrix, etc.
        if (seq.empty())
            return return_types::commutative;
        else
            return seq.begin()->return_type();
    }
}
 
return_type_t function::return_type_tinfo() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    if (opt.use_return_type) {
        // Return type was explicitly specified
        return opt.return_type_tinfo;
    } else {
        // Default behavior is to use the return type of the first
        // argument. Thus, exp() of a matrix behaves like a matrix, etc.
        if (seq.empty())
            return make_return_type_t<function>();
        else
            return seq.begin()->return_type_tinfo();
    }
}
 
// new virtual functions which can be overridden by derived classes
 
// none
 
// non-virtual functions in this class
 
// protected
 
ex function::pderivative(unsigned diff_param) const // partial differentiation
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
    
    if (opt.derivative_f) {
        // Invoke the defined derivative function.
        current_serial = serial;
        if (opt.derivative_use_exvector_args)
            return ((derivative_funcp_exvector)(opt.derivative_f))(seq, diff_param);
        switch (opt.nparams) {
            // the following lines have been generated for max. 14 parameters
            case 1:
                return ((derivative_funcp_1)(opt.derivative_f))(seq[0], diff_param);
            case 2:
                return ((derivative_funcp_2)(opt.derivative_f))(seq[0], seq[1], diff_param);
            case 3:
                return ((derivative_funcp_3)(opt.derivative_f))(seq[0], seq[1], seq[2], diff_param);
            case 4:
                return ((derivative_funcp_4)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], diff_param);
            case 5:
                return ((derivative_funcp_5)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], diff_param);
            case 6:
                return ((derivative_funcp_6)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], diff_param);
            case 7:
                return ((derivative_funcp_7)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], diff_param);
            case 8:
                return ((derivative_funcp_8)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], diff_param);
            case 9:
                return ((derivative_funcp_9)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], diff_param);
            case 10:
                return ((derivative_funcp_10)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], diff_param);
            case 11:
                return ((derivative_funcp_11)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], diff_param);
            case 12:
                return ((derivative_funcp_12)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], diff_param);
            case 13:
                return ((derivative_funcp_13)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], diff_param);
            case 14:
                return ((derivative_funcp_14)(opt.derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], diff_param);
            // end of generated lines
        }
    }
    // No derivative defined? Fall back to abstract derivative object.
    return fderivative(serial, diff_param, seq);
}
 
ex function::expl_derivative(const symbol & s) const // explicit differentiation
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    if (opt.expl_derivative_f) {
        // Invoke the defined explicit derivative function.
        current_serial = serial;
        if (opt.expl_derivative_use_exvector_args)
            return ((expl_derivative_funcp_exvector)(opt.expl_derivative_f))(seq, s);
        switch (opt.nparams) {
            // the following lines have been generated for max. 14 parameters
            case 1:
                return ((expl_derivative_funcp_1)(opt.expl_derivative_f))(seq[0], s);
            case 2:
                return ((expl_derivative_funcp_2)(opt.expl_derivative_f))(seq[0], seq[1], s);
            case 3:
                return ((expl_derivative_funcp_3)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], s);
            case 4:
                return ((expl_derivative_funcp_4)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], s);
            case 5:
                return ((expl_derivative_funcp_5)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], s);
            case 6:
                return ((expl_derivative_funcp_6)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], s);
            case 7:
                return ((expl_derivative_funcp_7)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], s);
            case 8:
                return ((expl_derivative_funcp_8)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], s);
            case 9:
                return ((expl_derivative_funcp_9)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], s);
            case 10:
                return ((expl_derivative_funcp_10)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], s);
            case 11:
                return ((expl_derivative_funcp_11)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], s);
            case 12:
                return ((expl_derivative_funcp_12)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], s);
            case 13:
                return ((expl_derivative_funcp_13)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], s);
            case 14:
                return ((expl_derivative_funcp_14)(opt.expl_derivative_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], s);
            // end of generated lines
        }
    }
    // There is no fallback for explicit derivative.
    throw(std::logic_error("function::expl_derivative(): explicit derivation is called, but no such function defined"));
}
 
ex function::power(const ex & power_param) const // power of function
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
    
    if (opt.power_f) {
        // Invoke the defined power function.
        current_serial = serial;
        if (opt.power_use_exvector_args)
            return ((power_funcp_exvector)(opt.power_f))(seq,  power_param);
        switch (opt.nparams) {
            // the following lines have been generated for max. 14 parameters
            case 1:
                return ((power_funcp_1)(opt.power_f))(seq[0], power_param);
            case 2:
                return ((power_funcp_2)(opt.power_f))(seq[0], seq[1], power_param);
            case 3:
                return ((power_funcp_3)(opt.power_f))(seq[0], seq[1], seq[2], power_param);
            case 4:
                return ((power_funcp_4)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], power_param);
            case 5:
                return ((power_funcp_5)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], power_param);
            case 6:
                return ((power_funcp_6)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], power_param);
            case 7:
                return ((power_funcp_7)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], power_param);
            case 8:
                return ((power_funcp_8)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], power_param);
            case 9:
                return ((power_funcp_9)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], power_param);
            case 10:
                return ((power_funcp_10)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], power_param);
            case 11:
                return ((power_funcp_11)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], power_param);
            case 12:
                return ((power_funcp_12)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], power_param);
            case 13:
                return ((power_funcp_13)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], power_param);
            case 14:
                return ((power_funcp_14)(opt.power_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], power_param);
            // end of generated lines
        }
    }
    // No power function defined? Fall back to returning a power object.
    return dynallocate<GiNaC::power>(*this, power_param).setflag(status_flags::evaluated);
}
 
ex function::expand(unsigned options) const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];
 
    if (opt.expand_f) {
        // Invoke the defined expand function.
        current_serial = serial;
        if (opt.expand_use_exvector_args)
            return ((expand_funcp_exvector)(opt.expand_f))(seq,  options);
        switch (opt.nparams) {
            // the following lines have been generated for max. 14 parameters
            case 1:
                return ((expand_funcp_1)(opt.expand_f))(seq[0], options);
            case 2:
                return ((expand_funcp_2)(opt.expand_f))(seq[0], seq[1], options);
            case 3:
                return ((expand_funcp_3)(opt.expand_f))(seq[0], seq[1], seq[2], options);
            case 4:
                return ((expand_funcp_4)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], options);
            case 5:
                return ((expand_funcp_5)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], options);
            case 6:
                return ((expand_funcp_6)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], options);
            case 7:
                return ((expand_funcp_7)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], options);
            case 8:
                return ((expand_funcp_8)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], options);
            case 9:
                return ((expand_funcp_9)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], options);
            case 10:
                return ((expand_funcp_10)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], options);
            case 11:
                return ((expand_funcp_11)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], options);
            case 12:
                return ((expand_funcp_12)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], options);
            case 13:
                return ((expand_funcp_13)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], options);
            case 14:
                return ((expand_funcp_14)(opt.expand_f))(seq[0], seq[1], seq[2], seq[3], seq[4], seq[5], seq[6], seq[7], seq[8], seq[9], seq[10], seq[11], seq[12], seq[13], options);
            // end of generated lines
        }
    }
    // No expand function defined? Return the same function with expanded arguments (if required)
    if (options & expand_options::expand_function_args)
        return inherited::expand(options);
    else
        return (options == 0) ? setflag(status_flags::expanded) : *this;
}
 
std::vector<function_options> & function::registered_functions()
{
    static std::vector<function_options> rf = std::vector<function_options>();
    return rf;
}
 
bool function::lookup_remember_table(ex & result) const
{
    return remember_table::remember_tables()[this->serial].lookup_entry(*this,result);
}
 
void function::store_remember_table(ex const & result) const
{
    remember_table::remember_tables()[this->serial].add_entry(*this,result);
}
 
// public
 
unsigned function::register_new(function_options const & opt)
{
    size_t same_name = 0;
    for (auto & i : registered_functions()) {
        if (i.name==opt.name) {
            ++same_name;
        }
    }
    if (same_name>=opt.functions_with_same_name) {
        // we do not throw an exception here because this code is
        // usually executed before main(), so the exception could not
        // caught anyhow
        std::cerr << "WARNING: function name " << opt.name
                  << " already in use!" << std::endl;
    }
    registered_functions().push_back(opt);
    if (opt.use_remember) {
        remember_table::remember_tables().
            push_back(remember_table(opt.remember_size,
                                     opt.remember_assoc_size,
                                     opt.remember_strategy));
    } else {
        remember_table::remember_tables().push_back(remember_table());
    }
    return registered_functions().size()-1;
}
 
unsigned function::find_function(const std::string &name, unsigned nparams)
{
    unsigned serial = 0;
    for (auto & it : function::registered_functions()) {
        if (it.get_name() == name && it.get_nparams() == nparams)
            return serial;
        ++serial;
    }
    throw (std::runtime_error("no function '" + name + "' with " + std::to_string(nparams) + " parameters defined"));
}
 
std::string function::get_name() const
{
    GINAC_ASSERT(serial<registered_functions().size());
    return registered_functions()[serial].name;
}
 
} // namespace GiNaC