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#ifndef GMX_MATH_GMXCOMPLEX_H
#define GMX_MATH_GMXCOMPLEX_H

#include <cmath>

#include "gromacs/math/vectypes.h"
#include "gromacs/utility/real.h"

struct t_complex{
    real re, im;
};

typedef t_complex cvec[DIM];

static t_complex rcmul(real r, t_complex c)
{
    t_complex d;

    d.re = r*c.re;
    d.im = r*c.im;

    return d;
}

static inline t_complex rcexp(real r)
{
    t_complex c;

    c.re = (real)cos(r);
    c.im = (real)sin(r);

    return c;
}


static inline t_complex cadd(t_complex a, t_complex b)
{
    t_complex c;

    c.re = a.re+b.re;
    c.im = a.im+b.im;

    return c;
}

static inline t_complex csub(t_complex a, t_complex b)
{
    t_complex c;

    c.re = a.re-b.re;
    c.im = a.im-b.im;

    return c;
}

static t_complex cmul(t_complex a, t_complex b)
{
    t_complex c;

    c.re = a.re*b.re - a.im*b.im;
    c.im = a.re*b.im + a.im*b.re;

    return c;
}

static t_complex conjugate(t_complex c)
{
    t_complex d;

    d.re =  c.re;
    d.im = -c.im;

    return d;
}

static inline real cabs2(t_complex c)
{
    real abs2;
    abs2 = (c.re*c.re)+(c.im*c.im);

    return abs2;
}

static inline t_complex cdiv(t_complex teller, t_complex noemer)
{
    t_complex res, anoemer;

    anoemer = cmul(conjugate(noemer), noemer);
    res     = cmul(teller, conjugate(noemer));

    return rcmul(1.0/anoemer.re, res);
}

inline bool operator==(const t_complex &lhs, const t_complex &rhs){ return (lhs.re == rhs.re) && (lhs.im == rhs.im); }
inline bool operator!=(const t_complex &lhs, const t_complex &rhs){ return !(lhs == rhs); }

#endif
