inifcns.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_INIFCNS_H
#define GINAC_INIFCNS_H
 
#include "numeric.h"
#include "function.h"
#include "ex.h"
 
namespace GiNaC {
 
DECLARE_FUNCTION_1P(conjugate_function)
 
 
DECLARE_FUNCTION_1P(real_part_function)
 
 
DECLARE_FUNCTION_1P(imag_part_function)
    
 
DECLARE_FUNCTION_1P(abs)
    
 
DECLARE_FUNCTION_1P(step)
    
 
DECLARE_FUNCTION_1P(csgn)
 
 
DECLARE_FUNCTION_2P(eta)
 
 
DECLARE_FUNCTION_1P(sin)
 
 
DECLARE_FUNCTION_1P(cos)
 
 
DECLARE_FUNCTION_1P(tan)
 
 
DECLARE_FUNCTION_1P(exp)
 
 
DECLARE_FUNCTION_1P(log)
 
 
DECLARE_FUNCTION_1P(asin)
 
 
DECLARE_FUNCTION_1P(acos)
 
 
DECLARE_FUNCTION_1P(atan)
 
 
DECLARE_FUNCTION_2P(atan2)
 
 
DECLARE_FUNCTION_1P(sinh)
 
 
DECLARE_FUNCTION_1P(cosh)
 
 
DECLARE_FUNCTION_1P(tanh)
 
 
DECLARE_FUNCTION_1P(asinh)
 
 
DECLARE_FUNCTION_1P(acosh)
 
 
DECLARE_FUNCTION_1P(atanh)
 
 
DECLARE_FUNCTION_1P(Li2)
 
 
DECLARE_FUNCTION_1P(Li3)
 
 
DECLARE_FUNCTION_2P(zetaderiv)
 
// overloading at work: we cannot use the macros here
class zeta1_SERIAL { public: static unsigned serial; };
template<typename T1>
inline function zeta(const T1& p1) {
    return function(zeta1_SERIAL::serial, ex(p1));
}
class zeta2_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2>
inline function zeta(const T1& p1, const T2& p2) {
    return function(zeta2_SERIAL::serial, ex(p1), ex(p2));
}
class zeta_SERIAL;
template<> inline bool is_the_function<zeta_SERIAL>(const ex& x)
{
    return is_the_function<zeta1_SERIAL>(x) || is_the_function<zeta2_SERIAL>(x);
}
 
// overloading at work: we cannot use the macros here
class G2_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2>
inline function G(const T1& x, const T2& y) {
    return function(G2_SERIAL::serial, ex(x), ex(y));
}
class G3_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2, typename T3>
inline function G(const T1& x, const T2& s, const T3& y) {
    return function(G3_SERIAL::serial, ex(x), ex(s), ex(y));
}
class G_SERIAL;
template<> inline bool is_the_function<G_SERIAL>(const ex& x)
{
    return is_the_function<G2_SERIAL>(x) || is_the_function<G3_SERIAL>(x);
}
 
DECLARE_FUNCTION_2P(Li)
 
 
DECLARE_FUNCTION_3P(S)
 
 
DECLARE_FUNCTION_2P(H)
 
 
DECLARE_FUNCTION_1P(lgamma)
DECLARE_FUNCTION_1P(tgamma)
 
 
DECLARE_FUNCTION_2P(beta)
 
// overloading at work: we cannot use the macros here
class psi1_SERIAL { public: static unsigned serial; };
template<typename T1>
inline function psi(const T1 & p1) {
    return function(psi1_SERIAL::serial, ex(p1));
}
class psi2_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2>
inline function psi(const T1 & p1, const T2 & p2) {
    return function(psi2_SERIAL::serial, ex(p1), ex(p2));
}
class psi_SERIAL;
template<> inline bool is_the_function<psi_SERIAL>(const ex & x)
{
    return is_the_function<psi1_SERIAL>(x) || is_the_function<psi2_SERIAL>(x);
}
    
DECLARE_FUNCTION_1P(EllipticK)
 
 
DECLARE_FUNCTION_1P(EllipticE)
 
// overloading at work: we cannot use the macros here
class iterated_integral2_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2>
inline function iterated_integral(const T1& kernel_lst, const T2& lambda) {
    return function(iterated_integral2_SERIAL::serial, ex(kernel_lst), ex(lambda));
}
class iterated_integral3_SERIAL { public: static unsigned serial; };
template<typename T1, typename T2, typename T3>
inline function iterated_integral(const T1& kernel_lst, const T2& lambda, const T3& N_trunc) {
    return function(iterated_integral3_SERIAL::serial, ex(kernel_lst), ex(lambda), ex(N_trunc));
}
class iterated_integral_SERIAL;
template<> inline bool is_the_function<iterated_integral_SERIAL>(const ex& x)
{
    return is_the_function<iterated_integral2_SERIAL>(x) || is_the_function<iterated_integral3_SERIAL>(x);
}
 
 
DECLARE_FUNCTION_1P(factorial)
 
 
DECLARE_FUNCTION_2P(binomial)
 
 
DECLARE_FUNCTION_1P(Order)
 
ex lsolve(const ex &eqns, const ex &symbols, unsigned options = solve_algo::automatic);
 
const numeric fsolve(const ex& f, const symbol& x, const numeric& x1, const numeric& x2);
 
inline bool is_order_function(const ex & e)
{
    return is_ex_the_function(e, Order);
}
 
ex convert_H_to_Li(const ex& parameterlst, const ex& arg);
 
} // namespace GiNaC
 
#endif // ndef GINAC_INIFCNS_H