power.h

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/*
 *  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/>.
 */
 
#ifndef GINAC_POWER_H
#define GINAC_POWER_H
 
#include "basic.h"
#include "ex.h"
#include "archive.h"
 
namespace GiNaC {
 
class numeric;
class add;
class mul;

class power : public basic
{
    GINAC_DECLARE_REGISTERED_CLASS(power, basic)
    
    friend class mul;
    
// member functions
    
    // other constructors
public:
    power(const ex & lh, const ex & rh) :  basis(lh), exponent(rh) {}
    template<typename T> power(const ex & lh, const T & rh) :  basis(lh), exponent(rh) {}
    
    // functions overriding virtual functions from base classes
public:
    unsigned precedence() const override {return 60;}
    bool info(unsigned inf) const override;
    size_t nops() const override;
    ex op(size_t i) const override;
    ex map(map_function & f) const override;
    bool is_polynomial(const ex & var) const override;
    int degree(const ex & s) const override;
    int ldegree(const ex & s) const override;
    ex coeff(const ex & s, int n = 1) const override;
    ex eval() const override;
    ex evalf() const override;
    ex evalm() const override;
    ex series(const relational & s, int order, unsigned options = 0) const override;
    ex subs(const exmap & m, unsigned options = 0) const override;
    bool has(const ex & other, unsigned options = 0) const override;
    ex normal(exmap & repl, exmap & rev_lookup, lst & modifier) const override;
    ex to_rational(exmap & repl) const override;
    ex to_polynomial(exmap & repl) const override;
    ex conjugate() const override;
    ex real_part() const override;
    ex imag_part() const override;
    void archive(archive_node& n) const override;
    void read_archive(const archive_node& n, lst& syms) override;
protected:
    ex derivative(const symbol & s) const override;
    ex eval_ncmul(const exvector & v) const override;
    unsigned return_type() const override;
    return_type_t return_type_tinfo() const override;
    ex expand(unsigned options = 0) const override;
    
    // new virtual functions which can be overridden by derived classes
    // none
    
    // non-virtual functions in this class
protected:
    void print_power(const print_context & c, const char *powersymbol, const char *openbrace, const char *closebrace, unsigned level) const;
    void do_print_dflt(const print_dflt & c, unsigned level) const;
    void do_print_latex(const print_latex & c, unsigned level) const;
    void do_print_csrc(const print_csrc & c, unsigned level) const;
    void do_print_python(const print_python & c, unsigned level) const;
    void do_print_python_repr(const print_python_repr & c, unsigned level) const;
    void do_print_csrc_cl_N(const print_csrc_cl_N & c, unsigned level) const;
 
    static ex expand_add(const add & a, long n, unsigned options);
    static ex expand_add_2(const add & a, unsigned options);
    static ex expand_mul(const mul & m, const numeric & n, unsigned options, bool from_expand = false);
    
// member variables
    
protected:
    ex basis;
    ex exponent;
};
GINAC_DECLARE_UNARCHIVER(power); 
 
// wrapper functions

inline ex pow(const ex & b, const ex & e)
{
    return dynallocate<power>(b, e);
}
template<typename T1, typename T2>
inline ex pow(const T1 & b, const T2 & e)
{
    return dynallocate<power>(ex(b), ex(e));
}

inline ex sqrt(const ex & a)
{
    extern const ex _ex1_2;
    return power(a,_ex1_2);
}
 
} // namespace GiNaC
 
#endif // ndef GINAC_POWER_H