field.hpp

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#ifndef _FIELD_H_
#define _FIELD_H_

#include <gmp.h>
#include <gmpxx.h>

#include "../group/group.hpp"


namespace arithm {

class Field : public Group
{
protected:
        mpz_class addOrder;

public:
        Field(mpz_class aOrder);

        Field(mpz_class aOrder, mpz_class mOrder, mpz_class gen);



        virtual Elmt addition(Elmt e1, Elmt e2);

        virtual Elmt addInverse(Elmt e);



        ArrayOfElmts addition(ArrayOfElmts e1, ArrayOfElmts e2);
        
        ArrayOfElmts addInverse(ArrayOfElmts a);

        Elmt sum(ArrayOfElmts a);



        Elmt getZero();

        ArrayOfElmts getZero(unsigned int n);
        


        mpz_class getAddOrder();

        unsigned int getLeafSize();

        virtual std::string getType();  

};


}

#endif