#pragma once

typedef struct {
    float re;
    float im;
} Complex;

float complex_abs( const Complex * c );

float complex_arg( const Complex * a );

Complex complex_comjunction( const Complex * a );

float complex_phi( const Complex * c );

Complex complex_scalar_mul( const Complex * a, const float b );

Complex complex_mul( const Complex * a, const Complex * b );

Complex complex_add( const Complex * a, const Complex * b );

Complex complex_sub( const Complex * a, const Complex * b );

Complex complex_polar( float roh, float theta );

Complex complex_pow( const Complex * a, int n );