function.cpp

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/*
 *  This file was generated automatically by function.pl.
 *  Please do not modify it directly, edit the perl script instead!
 *  function.pl options: $maxargs=14
 *
 *  GiNaC Copyright (C) 1999-2011 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, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */

#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 "tostring.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 = derivative_f
        = power_f = series_f = 0;
    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;
    derivative_use_exvector_args = false;
    power_use_exvector_args = false;
    series_use_exvector_args = false;
    print_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 ef)
{
    test_and_set_nparams(1);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_2 ef)
{
    test_and_set_nparams(2);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_3 ef)
{
    test_and_set_nparams(3);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_4 ef)
{
    test_and_set_nparams(4);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_5 ef)
{
    test_and_set_nparams(5);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_6 ef)
{
    test_and_set_nparams(6);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_7 ef)
{
    test_and_set_nparams(7);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_8 ef)
{
    test_and_set_nparams(8);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_9 ef)
{
    test_and_set_nparams(9);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_10 ef)
{
    test_and_set_nparams(10);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_11 ef)
{
    test_and_set_nparams(11);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_12 ef)
{
    test_and_set_nparams(12);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_13 ef)
{
    test_and_set_nparams(13);
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options & function_options::evalf_func(evalf_funcp_14 ef)
{
    test_and_set_nparams(14);
    evalf_f = evalf_funcp(ef);
    return *this;
}

function_options & function_options::conjugate_func(conjugate_funcp_1 c)
{
    test_and_set_nparams(1);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_2 c)
{
    test_and_set_nparams(2);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_3 c)
{
    test_and_set_nparams(3);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_4 c)
{
    test_and_set_nparams(4);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_5 c)
{
    test_and_set_nparams(5);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_6 c)
{
    test_and_set_nparams(6);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_7 c)
{
    test_and_set_nparams(7);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_8 c)
{
    test_and_set_nparams(8);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_9 c)
{
    test_and_set_nparams(9);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_10 c)
{
    test_and_set_nparams(10);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_11 c)
{
    test_and_set_nparams(11);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_12 c)
{
    test_and_set_nparams(12);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_13 c)
{
    test_and_set_nparams(13);
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options & function_options::conjugate_func(conjugate_funcp_14 c)
{
    test_and_set_nparams(14);
    conjugate_f = conjugate_funcp(c);
    return *this;
}

function_options & function_options::real_part_func(real_part_funcp_1 c)
{
    test_and_set_nparams(1);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_2 c)
{
    test_and_set_nparams(2);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_3 c)
{
    test_and_set_nparams(3);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_4 c)
{
    test_and_set_nparams(4);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_5 c)
{
    test_and_set_nparams(5);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_6 c)
{
    test_and_set_nparams(6);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_7 c)
{
    test_and_set_nparams(7);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_8 c)
{
    test_and_set_nparams(8);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_9 c)
{
    test_and_set_nparams(9);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_10 c)
{
    test_and_set_nparams(10);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_11 c)
{
    test_and_set_nparams(11);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_12 c)
{
    test_and_set_nparams(12);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_13 c)
{
    test_and_set_nparams(13);
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options & function_options::real_part_func(real_part_funcp_14 c)
{
    test_and_set_nparams(14);
    real_part_f = real_part_funcp(c);
    return *this;
}

function_options & function_options::imag_part_func(imag_part_funcp_1 c)
{
    test_and_set_nparams(1);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_2 c)
{
    test_and_set_nparams(2);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_3 c)
{
    test_and_set_nparams(3);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_4 c)
{
    test_and_set_nparams(4);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_5 c)
{
    test_and_set_nparams(5);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_6 c)
{
    test_and_set_nparams(6);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_7 c)
{
    test_and_set_nparams(7);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_8 c)
{
    test_and_set_nparams(8);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_9 c)
{
    test_and_set_nparams(9);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_10 c)
{
    test_and_set_nparams(10);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_11 c)
{
    test_and_set_nparams(11);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_12 c)
{
    test_and_set_nparams(12);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_13 c)
{
    test_and_set_nparams(13);
    imag_part_f = imag_part_funcp(c);
    return *this;
}
function_options & function_options::imag_part_func(imag_part_funcp_14 c)
{
    test_and_set_nparams(14);
    imag_part_f = imag_part_funcp(c);
    return *this;
}

function_options & function_options::derivative_func(derivative_funcp_1 d)
{
    test_and_set_nparams(1);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_2 d)
{
    test_and_set_nparams(2);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_3 d)
{
    test_and_set_nparams(3);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_4 d)
{
    test_and_set_nparams(4);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_5 d)
{
    test_and_set_nparams(5);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_6 d)
{
    test_and_set_nparams(6);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_7 d)
{
    test_and_set_nparams(7);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_8 d)
{
    test_and_set_nparams(8);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_9 d)
{
    test_and_set_nparams(9);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_10 d)
{
    test_and_set_nparams(10);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_11 d)
{
    test_and_set_nparams(11);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_12 d)
{
    test_and_set_nparams(12);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_13 d)
{
    test_and_set_nparams(13);
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options & function_options::derivative_func(derivative_funcp_14 d)
{
    test_and_set_nparams(14);
    derivative_f = derivative_funcp(d);
    return *this;
}

function_options & function_options::power_func(power_funcp_1 d)
{
    test_and_set_nparams(1);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_2 d)
{
    test_and_set_nparams(2);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_3 d)
{
    test_and_set_nparams(3);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_4 d)
{
    test_and_set_nparams(4);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_5 d)
{
    test_and_set_nparams(5);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_6 d)
{
    test_and_set_nparams(6);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_7 d)
{
    test_and_set_nparams(7);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_8 d)
{
    test_and_set_nparams(8);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_9 d)
{
    test_and_set_nparams(9);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_10 d)
{
    test_and_set_nparams(10);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_11 d)
{
    test_and_set_nparams(11);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_12 d)
{
    test_and_set_nparams(12);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_13 d)
{
    test_and_set_nparams(13);
    power_f = power_funcp(d);
    return *this;
}
function_options & function_options::power_func(power_funcp_14 d)
{
    test_and_set_nparams(14);
    power_f = power_funcp(d);
    return *this;
}

function_options & function_options::series_func(series_funcp_1 s)
{
    test_and_set_nparams(1);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_2 s)
{
    test_and_set_nparams(2);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_3 s)
{
    test_and_set_nparams(3);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_4 s)
{
    test_and_set_nparams(4);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_5 s)
{
    test_and_set_nparams(5);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_6 s)
{
    test_and_set_nparams(6);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_7 s)
{
    test_and_set_nparams(7);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_8 s)
{
    test_and_set_nparams(8);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_9 s)
{
    test_and_set_nparams(9);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_10 s)
{
    test_and_set_nparams(10);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_11 s)
{
    test_and_set_nparams(11);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_12 s)
{
    test_and_set_nparams(12);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_13 s)
{
    test_and_set_nparams(13);
    series_f = series_funcp(s);
    return *this;
}
function_options & function_options::series_func(series_funcp_14 s)
{
    test_and_set_nparams(14);
    series_f = series_funcp(s);
    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 ef)
{
    evalf_use_exvector_args = true;
    evalf_f = evalf_funcp(ef);
    return *this;
}
function_options& function_options::conjugate_func(conjugate_funcp_exvector c)
{
    conjugate_use_exvector_args = true;
    conjugate_f = conjugate_funcp(c);
    return *this;
}
function_options& function_options::real_part_func(real_part_funcp_exvector c)
{
    real_part_use_exvector_args = true;
    real_part_f = real_part_funcp(c);
    return *this;
}
function_options& function_options::imag_part_func(imag_part_funcp_exvector c)
{
    imag_part_use_exvector_args = true;
    imag_part_f = imag_part_funcp(c);
    return *this;
}

function_options& function_options::derivative_func(derivative_funcp_exvector d)
{
    derivative_use_exvector_args = true;
    derivative_f = derivative_funcp(d);
    return *this;
}
function_options& function_options::power_func(power_funcp_exvector d)
{
    power_use_exvector_args = true;
    power_f = power_funcp(d);
    return *this;
}
function_options& function_options::series_func(series_funcp_exvector s)
{
    series_use_exvector_args = true;
    series_f = series_funcp(s);
    return *this;
}

function_options & function_options::set_return_type(unsigned rt, const return_type_t* rtt)
{
    use_return_type = true;
    return_type = rt;
    if (rtt != 0)
        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)
{
}

// end of generated lines

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, bool discardable) 
  : exprseq(v,discardable), serial(ser)
{
    if ( ser >= registered_functions().size() ) {
        throw std::runtime_error("function does not exist");
    }
}

function::function(unsigned ser, std::auto_ptr<exvector> vp) 
  : exprseq(vp), 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
    std::string s;
    if (n.find_string("name", s)) {
        unsigned int ser = 0;
        std::vector<function_options>::const_iterator i = registered_functions().begin(), iend = registered_functions().end();
        while (i != iend) {
            if (s == i->name) {
                serial = ser;
                return;
            }
            ++i; ++ser;
        }
        throw (std::runtime_error("unknown function '" + s + "' 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] == NULL) {

        // 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[1-1], c);
            break;
        case 2:
            ((print_funcp_2)(pdt[id]))(seq[1-1], seq[2-1], c);
            break;
        case 3:
            ((print_funcp_3)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], c);
            break;
        case 4:
            ((print_funcp_4)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], c);
            break;
        case 5:
            ((print_funcp_5)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], c);
            break;
        case 6:
            ((print_funcp_6)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], c);
            break;
        case 7:
            ((print_funcp_7)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], c);
            break;
        case 8:
            ((print_funcp_8)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], c);
            break;
        case 9:
            ((print_funcp_9)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], c);
            break;
        case 10:
            ((print_funcp_10)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], c);
            break;
        case 11:
            ((print_funcp_11)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], c);
            break;
        case 12:
            ((print_funcp_12)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], c);
            break;
        case 13:
            ((print_funcp_13)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], c);
            break;
        case 14:
            ((print_funcp_14)(pdt[id]))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1], c);
            break;

            // end of generated lines
        default:
            throw(std::logic_error("function::print(): invalid nparams"));
        }
    }
}

ex function::expand(unsigned options) const
{
    // Only expand arguments when asked to do so
    if (options & expand_options::expand_function_args)
        return inherited::expand(options);
    else
        return (options == 0) ? setflag(status_flags::expanded) : *this;
}

ex function::eval(int level) const
{
    if (level>1) {
        // first evaluate children, then we will end up here again
        return function(serial,evalchildren(level));
    }

    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(v);
        }
    }

    if (opt.eval_f==0) {
        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[1-1]);
        break;
    case 2:
        eval_result = ((eval_funcp_2)(opt.eval_f))(seq[1-1], seq[2-1]);
        break;
    case 3:
        eval_result = ((eval_funcp_3)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1]);
        break;
    case 4:
        eval_result = ((eval_funcp_4)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1]);
        break;
    case 5:
        eval_result = ((eval_funcp_5)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1]);
        break;
    case 6:
        eval_result = ((eval_funcp_6)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1]);
        break;
    case 7:
        eval_result = ((eval_funcp_7)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1]);
        break;
    case 8:
        eval_result = ((eval_funcp_8)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1]);
        break;
    case 9:
        eval_result = ((eval_funcp_9)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1]);
        break;
    case 10:
        eval_result = ((eval_funcp_10)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1]);
        break;
    case 11:
        eval_result = ((eval_funcp_11)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1]);
        break;
    case 12:
        eval_result = ((eval_funcp_12)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1]);
        break;
    case 13:
        eval_result = ((eval_funcp_13)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1]);
        break;
    case 14:
        eval_result = ((eval_funcp_14)(opt.eval_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1]);
        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(int level) const
{
    GINAC_ASSERT(serial<registered_functions().size());
    const function_options &opt = registered_functions()[serial];

    // Evaluate children first
    exvector eseq;
    if (level == 1 || !(opt.evalf_params_first))
        eseq = seq;
    else if (level == -max_recursion_level)
        throw(std::runtime_error("max recursion level reached"));
    else {
        eseq.reserve(seq.size());
        --level;
        exvector::const_iterator it = seq.begin(), itend = seq.end();
        while (it != itend) {
            eseq.push_back(it->evalf(level));
            ++it;
        }
    }

    if (opt.evalf_f==0) {
        return function(serial,eseq).hold();
    }
    current_serial = serial;
    if (opt.evalf_use_exvector_args)
        return ((evalf_funcp_exvector)(opt.evalf_f))(seq);
    switch (opt.nparams) {
        // the following lines have been generated for max. 14 parameters
    case 1:
        return ((evalf_funcp_1)(opt.evalf_f))(eseq[1-1]);
    case 2:
        return ((evalf_funcp_2)(opt.evalf_f))(eseq[1-1], eseq[2-1]);
    case 3:
        return ((evalf_funcp_3)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1]);
    case 4:
        return ((evalf_funcp_4)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1]);
    case 5:
        return ((evalf_funcp_5)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1]);
    case 6:
        return ((evalf_funcp_6)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1]);
    case 7:
        return ((evalf_funcp_7)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1]);
    case 8:
        return ((evalf_funcp_8)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1]);
    case 9:
        return ((evalf_funcp_9)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1]);
    case 10:
        return ((evalf_funcp_10)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1], eseq[10-1]);
    case 11:
        return ((evalf_funcp_11)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1], eseq[10-1], eseq[11-1]);
    case 12:
        return ((evalf_funcp_12)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1], eseq[10-1], eseq[11-1], eseq[12-1]);
    case 13:
        return ((evalf_funcp_13)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1], eseq[10-1], eseq[11-1], eseq[12-1], eseq[13-1]);
    case 14:
        return ((evalf_funcp_14)(opt.evalf_f))(eseq[1-1], eseq[2-1], eseq[3-1], eseq[4-1], eseq[5-1], eseq[6-1], eseq[7-1], eseq[8-1], eseq[9-1], eseq[10-1], eseq[11-1], eseq[12-1], eseq[13-1], eseq[14-1]);

        // 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(std::auto_ptr<exvector> vp) const
{
    return function(serial, vp);
}

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==0) {
        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[1-1],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[1-1], seq[2-1],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[1-1], seq[2-1], seq[3-1],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[1-1], seq[2-1], seq[3-1], seq[4-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1],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[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1],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==0) {
        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[1-1]);
    case 2:
        return ((conjugate_funcp_2)(opt.conjugate_f))(seq[1-1], seq[2-1]);
    case 3:
        return ((conjugate_funcp_3)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1]);
    case 4:
        return ((conjugate_funcp_4)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1]);
    case 5:
        return ((conjugate_funcp_5)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1]);
    case 6:
        return ((conjugate_funcp_6)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1]);
    case 7:
        return ((conjugate_funcp_7)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1]);
    case 8:
        return ((conjugate_funcp_8)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1]);
    case 9:
        return ((conjugate_funcp_9)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1]);
    case 10:
        return ((conjugate_funcp_10)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1]);
    case 11:
        return ((conjugate_funcp_11)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1]);
    case 12:
        return ((conjugate_funcp_12)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1]);
    case 13:
        return ((conjugate_funcp_13)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1]);
    case 14:
        return ((conjugate_funcp_14)(opt.conjugate_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1]);

        // 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==0)
        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[1-1]);
    case 2:
        return ((real_part_funcp_2)(opt.real_part_f))(seq[1-1], seq[2-1]);
    case 3:
        return ((real_part_funcp_3)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1]);
    case 4:
        return ((real_part_funcp_4)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1]);
    case 5:
        return ((real_part_funcp_5)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1]);
    case 6:
        return ((real_part_funcp_6)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1]);
    case 7:
        return ((real_part_funcp_7)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1]);
    case 8:
        return ((real_part_funcp_8)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1]);
    case 9:
        return ((real_part_funcp_9)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1]);
    case 10:
        return ((real_part_funcp_10)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1]);
    case 11:
        return ((real_part_funcp_11)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1]);
    case 12:
        return ((real_part_funcp_12)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1]);
    case 13:
        return ((real_part_funcp_13)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1]);
    case 14:
        return ((real_part_funcp_14)(opt.real_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1]);

        // 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==0)
        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[1-1]);
    case 2:
        return ((imag_part_funcp_2)(opt.imag_part_f))(seq[1-1], seq[2-1]);
    case 3:
        return ((imag_part_funcp_3)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1]);
    case 4:
        return ((imag_part_funcp_4)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1]);
    case 5:
        return ((imag_part_funcp_5)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1]);
    case 6:
        return ((imag_part_funcp_6)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1]);
    case 7:
        return ((imag_part_funcp_7)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1]);
    case 8:
        return ((imag_part_funcp_8)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1]);
    case 9:
        return ((imag_part_funcp_9)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1]);
    case 10:
        return ((imag_part_funcp_10)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1]);
    case 11:
        return ((imag_part_funcp_11)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1]);
    case 12:
        return ((imag_part_funcp_12)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1]);
    case 13:
        return ((imag_part_funcp_13)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1]);
    case 14:
        return ((imag_part_funcp_14)(opt.imag_part_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1]);

        // end of generated lines
    }
    throw(std::logic_error("function::imag_part(): invalid nparams"));
}

// protected

ex function::derivative(const symbol & s) const
{
    ex result;

    if (serial == Order_SERIAL::serial) {
        // Order Term function only differentiates the argument
        return Order(seq[0].diff(s));
    } else {
        // 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];
    
    // No derivative defined? Then return abstract derivative object
    if (opt.derivative_f == NULL)
        return fderivative(serial, diff_param, seq);

    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[1-1],diff_param);
    case 2:
        return ((derivative_funcp_2)(opt.derivative_f))(seq[1-1], seq[2-1],diff_param);
    case 3:
        return ((derivative_funcp_3)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1],diff_param);
    case 4:
        return ((derivative_funcp_4)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1],diff_param);
    case 5:
        return ((derivative_funcp_5)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1],diff_param);
    case 6:
        return ((derivative_funcp_6)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1],diff_param);
    case 7:
        return ((derivative_funcp_7)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1],diff_param);
    case 8:
        return ((derivative_funcp_8)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1],diff_param);
    case 9:
        return ((derivative_funcp_9)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1],diff_param);
    case 10:
        return ((derivative_funcp_10)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1],diff_param);
    case 11:
        return ((derivative_funcp_11)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1],diff_param);
    case 12:
        return ((derivative_funcp_12)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1],diff_param);
    case 13:
        return ((derivative_funcp_13)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1],diff_param);
    case 14:
        return ((derivative_funcp_14)(opt.derivative_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1],diff_param);

        // end of generated lines
    }
    throw(std::logic_error("function::pderivative(): no diff 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];
    
    // No derivative defined? Then return abstract derivative object
    if (opt.power_f == NULL)
        return (new GiNaC::power(*this, power_param))->setflag(status_flags::dynallocated |
                                                               status_flags::evaluated);

    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[1-1],power_param);
    case 2:
        return ((power_funcp_2)(opt.power_f))(seq[1-1], seq[2-1],power_param);
    case 3:
        return ((power_funcp_3)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1],power_param);
    case 4:
        return ((power_funcp_4)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1],power_param);
    case 5:
        return ((power_funcp_5)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1],power_param);
    case 6:
        return ((power_funcp_6)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1],power_param);
    case 7:
        return ((power_funcp_7)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1],power_param);
    case 8:
        return ((power_funcp_8)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1],power_param);
    case 9:
        return ((power_funcp_9)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1],power_param);
    case 10:
        return ((power_funcp_10)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1],power_param);
    case 11:
        return ((power_funcp_11)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1],power_param);
    case 12:
        return ((power_funcp_12)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1],power_param);
    case 13:
        return ((power_funcp_13)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1],power_param);
    case 14:
        return ((power_funcp_14)(opt.power_f))(seq[1-1], seq[2-1], seq[3-1], seq[4-1], seq[5-1], seq[6-1], seq[7-1], seq[8-1], seq[9-1], seq[10-1], seq[11-1], seq[12-1], seq[13-1], seq[14-1],power_param);

        // end of generated lines
    }
    throw(std::logic_error("function::power(): no power function defined"));
}

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 (size_t i=0; i<registered_functions().size(); ++i) {
        if (registered_functions()[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)
{
    std::vector<function_options>::const_iterator i = function::registered_functions().begin(), end = function::registered_functions().end();
    unsigned serial = 0;
    while (i != end) {
        if (i->get_name() == name && i->get_nparams() == nparams)
            return serial;
        ++i;
        ++serial;
    }
    throw (std::runtime_error("no function '" + name + "' with " + ToString(nparams) + " parameters defined"));
}

std::string function::get_name() const
{
    if ( serial >= registered_functions().size() ) {
        throw std::runtime_error("unknown function");
    }
    return registered_functions()[serial].name;
}

} // namespace GiNaC