integral.h

Go to the documentation of this file.

/*
 *  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
 */

#ifndef GINAC_INTEGRAL_H
#define GINAC_INTEGRAL_H

#include "basic.h"
#include "ex.h"
#include "archive.h"

namespace GiNaC {

class integral : public basic
{
    GINAC_DECLARE_REGISTERED_CLASS(integral, basic)
    
    // other constructors
public:
    integral(const ex & x_, const ex & a_, const ex & b_, const ex & f_);
    
    // functions overriding virtual functions from base classes
public:
    unsigned precedence() const {return 45;}
    ex eval(int level=0) const;
    ex evalf(int level=0) const;
    int degree(const ex & s) const;
    int ldegree(const ex & s) const;
    ex eval_ncmul(const exvector & v) const;
    size_t nops() const;
    ex op(size_t i) const;
    ex & let_op(size_t i);
    ex expand(unsigned options = 0) const;
    exvector get_free_indices() const;
    unsigned return_type() const;
    return_type_t return_type_tinfo() const;
    ex conjugate() const;
    ex eval_integ() const;
    void archive(archive_node& n) const;
    void read_archive(const archive_node& n, lst& syms);
protected:
    ex derivative(const symbol & s) const;
    ex series(const relational & r, int order, unsigned options = 0) const;

    // new virtual functions which can be overridden by derived classes
    // none
    
    // non-virtual functions in this class
protected:
    void do_print(const print_context & c, unsigned level) const;
    void do_print_latex(const print_latex & c, unsigned level) const;
public:
    static int max_integration_level;
    static ex relative_integration_error;
private:
    ex x;
    ex a;
    ex b;
    ex f;
};
GINAC_DECLARE_UNARCHIVER(integral); 

// utility functions

GiNaC::ex adaptivesimpson(
    const GiNaC::ex &x,
    const GiNaC::ex &a,
    const GiNaC::ex &b,
    const GiNaC::ex &f,
    const GiNaC::ex &error = integral::relative_integration_error
);

} // namespace GiNaC

#endif // ndef GINAC_INTEGRAL_H