libcomplexop.h

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// This file is part of MARTY.
// 
// MARTY 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 3 of the License, or
// (at your option) any later version.
// 
// MARTY 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 MARTY. If not, see <https://www.gnu.org/licenses/>.

#ifndef LIBCOMPLEXOP_H_INCLUDED
#define LIBCOMPLEXOP_H_INCLUDED

#include <complex>
#include <iostream>


#ifdef QUAD

// quadruple - double / float operators

#include <quadmath.h>

inline std::complex<__float128> operator+(
        std::complex<__float128> const&c, 
        double                         a
        )
{
    return c + std::complex<__float128>(a);
}
inline std::complex<__float128> operator+(
        double                         a,
        std::complex<__float128> const&c
        )
{
    return c + std::complex<__float128>(a);
}

inline std::complex<__float128> operator*(
        std::complex<__float128> const&c, 
        double                         a
        )
{
    return c * std::complex<__float128>(a);
}
inline std::complex<__float128> operator*(
        double                         a,
        std::complex<__float128> const&c
        )
{
    return c * std::complex<__float128>(a);
}

inline std::complex<__float128> operator-(
        std::complex<__float128> const&c, 
        double                         a
        )
{
    return c - std::complex<__float128>(a);
}
inline std::complex<__float128> operator-(
        double                         a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) - c;
}

inline std::complex<__float128> operator/(
        std::complex<__float128> const&c, 
        double                         a
        )
{
    return c / std::complex<__float128>(a);
}
inline std::complex<__float128> operator/(
        double                         a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) / c;
}

// Complex - complex operators

inline std::complex<__float128> operator+(
        std::complex<__float128> const&c, 
        std::complex<double>     const&a
        )
{
    return c + std::complex<__float128>(a);
}
inline std::complex<__float128> operator+(
        std::complex<double>     const&a,
        std::complex<__float128> const&c
        )
{
    return c + std::complex<__float128>(a);
}

inline std::complex<__float128> operator*(
        std::complex<__float128> const&c, 
        std::complex<double>     const&a
        )
{
    return c * std::complex<__float128>(a);
}
inline std::complex<__float128> operator*(
        std::complex<double>     const&a,
        std::complex<__float128> const&c
        )
{
    return c * std::complex<__float128>(a);
}

inline std::complex<__float128> operator-(
        std::complex<__float128> const&c, 
        std::complex<double>     const&a
        )
{
    return c - std::complex<__float128>(a);
}
inline std::complex<__float128> operator-(
        std::complex<double>     const&a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) - c;
}

inline std::complex<__float128> operator/(
        std::complex<__float128> const&c, 
        std::complex<double>     const&a
        )
{
    return c / std::complex<__float128>(a);
}
inline std::complex<__float128> operator/(
        std::complex<double>     const&a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) / c;
}

// quadruple / int operators

inline std::complex<__float128> operator+(
        std::complex<__float128> const&c, 
        int                            a
        )
{
    return c + std::complex<__float128>(a);
}
inline std::complex<__float128> operator+(
        int                            a,
        std::complex<__float128> const&c
        )
{
    return c + std::complex<__float128>(a);
}

inline std::complex<__float128> operator*(
        std::complex<__float128> const&c, 
        int                            a
        )
{
    return c * std::complex<__float128>(a);
}
inline std::complex<__float128> operator*(
        int                            a,
        std::complex<__float128> const&c
        )
{
    return c * std::complex<__float128>(a);
}

inline std::complex<__float128> operator-(
        std::complex<__float128> const&c, 
        int                            a
        )
{
    return c - std::complex<__float128>(a);
}
inline std::complex<__float128> operator-(
        int                            a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) - c;
}

inline std::complex<__float128> operator/(
        std::complex<__float128> const&c, 
        int                            a
        )
{
    return c / std::complex<__float128>(a);
}
inline std::complex<__float128> operator/(
        int                            a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) / c;
}

// Complex - complex operators

inline std::complex<__float128> operator+(
        std::complex<__float128> const&c, 
        std::complex<int>        const&a
        )
{
    return c + std::complex<__float128>(a);
}
inline std::complex<__float128> operator+(
        std::complex<int>        const&a,
        std::complex<__float128> const&c
        )
{
    return c + std::complex<__float128>(a);
}

inline std::complex<__float128> operator*(
        std::complex<__float128> const&c, 
        std::complex<int>        const&a
        )
{
    return c * std::complex<__float128>(a);
}
inline std::complex<__float128> operator*(
        std::complex<int>        const&a,
        std::complex<__float128> const&c
        )
{
    return c * std::complex<__float128>(a);
}

inline std::complex<__float128> operator-(
        std::complex<__float128> const&c, 
        std::complex<int>        const&a
        )
{
    return c - std::complex<__float128>(a);
}
inline std::complex<__float128> operator-(
        std::complex<int>        const&a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) - c;
}

inline std::complex<__float128> operator/(
        std::complex<__float128> const&c, 
        std::complex<int>        const&a
        )
{
    return c / std::complex<__float128>(a);
}
inline std::complex<__float128> operator/(
        std::complex<int>        const&a,
        std::complex<__float128> const&c
        )
{
    return std::complex<__float128>(a) / c;
}

inline std::ostream &operator<<(
        std::ostream &out,
        __float128    x
        )
{
    out << (double)x;
    return out;
}

inline std::ostream &operator<<(
        std::ostream &out,
        __complex128  z
        )
{
    out << "(" << crealq(z) << " + i*" << cimagq(z) << ")";
    return out;
}

#endif

// double / int operators

inline std::complex<double> operator+(
        std::complex<double> const&c, 
        int                            a
        )
{
    return c + std::complex<double>(a);
}
inline std::complex<double> operator+(
        int                            a,
        std::complex<double> const&c
        )
{
    return c + std::complex<double>(a);
}

inline std::complex<double> operator*(
        std::complex<double> const&c, 
        int                            a
        )
{
    return c * std::complex<double>(a);
}
inline std::complex<double> operator*(
        int                            a,
        std::complex<double> const&c
        )
{
    return c * std::complex<double>(a);
}

inline std::complex<double> operator-(
        std::complex<double> const&c, 
        int                            a
        )
{
    return c - std::complex<double>(a);
}
inline std::complex<double> operator-(
        int                            a,
        std::complex<double> const&c
        )
{
    return std::complex<double>(a) - c;
}

inline std::complex<double> operator/(
        std::complex<double> const&c, 
        int                            a
        )
{
    return c / std::complex<double>(a);
}
inline std::complex<double> operator/(
        int                            a,
        std::complex<double> const&c
        )
{
    return std::complex<double>(a) / c;
}

// Complex - complex operators

inline std::complex<double> operator+(
        std::complex<double> const&c, 
        std::complex<int>        const&a
        )
{
    return c + std::complex<double>(a.real(), a.imag());
}
inline std::complex<double> operator+(
        std::complex<int>        const&a,
        std::complex<double> const&c
        )
{
    return c + std::complex<double>(a.real(), a.imag());
}

inline std::complex<double> operator*(
        std::complex<double> const&c, 
        std::complex<int>        const&a
        )
{
    return c * std::complex<double>(a.real(), a.imag());
}
inline std::complex<double> operator*(
        std::complex<int>        const&a,
        std::complex<double> const&c
        )
{
    return c * std::complex<double>(a.real(), a.imag());
}

inline std::complex<double> operator-(
        std::complex<double> const&c, 
        std::complex<int>        const&a
        )
{
    return c - std::complex<double>(a.real(), a.imag());
}
inline std::complex<double> operator-(
        std::complex<int>        const&a,
        std::complex<double> const&c
        )
{
    return std::complex<double>(a.real(), a.imag()) - c;
}

inline std::complex<double> operator/(
        std::complex<double> const&c, 
        std::complex<int>        const&a
        )
{
    return c / std::complex<double>(a.real(), a.imag());
}
inline std::complex<double> operator/(
        std::complex<int>        const&a,
        std::complex<double> const&c
        )
{
    return std::complex<double>(a.real(), a.imag()) / c;
}

#endif