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#ifndef COMPLEX_H
#define COMPLEX_H
#include <math.h>
typedef struct
{
double re;
double im;
} complex_t;
static inline complex_t
complex_mul (complex_t a, complex_t b)
{
complex_t r;
r.re = a.re * b.re - a.im * b.im;
r.im = a.re * b.im + a.im * b.re;
return r;
}
static inline complex_t
complex_smul (complex_t a, double s)
{
a.re *= s;
a.im *= s;
return a;
}
static inline complex_t
complex_add (complex_t a, complex_t b)
{
complex_t r;
r.re = a.re + b.re;
r.im = a.im + b.im;
return r;
}
static inline complex_t
complex_sub (complex_t a, complex_t b)
{
complex_t r;
r.re = a.re - b.re;
r.im = a.im - b.im;
return r;
}
static inline double
complex_mag (complex_t a)
{
return sqrt (a.re * a.re + a.im * a.im);
}
static inline double
complex_arg (complex_t a)
{
return fmod (atan2 (a.im, a.re) + 2 * M_PI, 2 * M_PI);
}
static inline complex_t
complex_from_mag_arg (double mag, double arg)
{
complex_t r;
r.re = mag * cos (arg);
r.im = mag * sin (arg);
return r;
}
#endif
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