functions_complex.h

#ifndef FUNCTIONS_COMPLEX_H
#define FUNCTIONS_COMPLEX_H
 
//types of the code
#include "types.h"
#include "functions_type.h"
 
//standart library
#include <stdlib.h>
 
//for type name
#include <cxxabi.h>
 
//include the Template condition
#include<type_traits>
 
//regex header for string manipulation
#include <regex>
 
//template type verification header
#include<type_traits>
#include<concepts>
 
//math header isnan
#include <math.h>
 
#ifdef DEBUG
//define the assert method
#include<cassert>
#endif
 
namespace functions_complex {
 
    
    //complex multiplicator
    template<typename Q>
    inline const std::pair<Q,Q>& multiply(const std::pair<Q,Q>& alpha,std::pair<Q,Q>& beta) {
        Q betaImg=beta.second;
        beta.second=alpha.first*betaImg+alpha.second*beta.first;
        beta.first=alpha.first*beta.first-alpha.second*betaImg;
        return beta;
        
    }
    
    //complex add
    template<typename Q>
    inline const std::pair<Q,Q>& add(const std::pair<Q,Q>& alpha,std::pair<Q,Q>& beta) {
        beta.first+=alpha.first;
        beta.second+=alpha.second;
        return beta;
 
    }
 
    
}
 
#endif