emath.h

Go to the documentation of this file.

 
#ifndef EMATH_H
#define EMATH_H
#include <map>
#include <cmath>
#include <complex>
#include <vector>
#include <string>
#include <unsupported/Eigen/Polynomials>
#include "set.h"
#pragma once
namespace emth {
    #define R_TOL std::numeric_limits<double>::epsilon()
    #define R_ITR 1000
    class Arithmetic {
        public:
            static void get_divisors(int n, std::vector<int>& v) noexcept;
    };
    class Monomial {
        public:
            Monomial() noexcept; //Default constructor
            Monomial(const double cf, const int dgr) noexcept; //Constructor
            Monomial(const Monomial& ogn) noexcept; //Copy constructor
            Monomial(Monomial&& ogn) noexcept; //Move constructor
            Monomial& operator =(const Monomial& ogn) noexcept; //Assigment operator
            Monomial& operator =(Monomial&& ogn) noexcept; //Move assigment operator
            bool operator ==(const Monomial& ogn) const noexcept; //Equal logic operator
            bool operator !=(const Monomial& ogn) const noexcept; //Not Equal logic operator
            bool operator >(const Monomial& ogn) const noexcept; //Greater than logic operator
            bool operator <(const Monomial& ogn) const noexcept; //Less than logic operator
            bool operator >=(const Monomial& ogn) const noexcept; //Greater or Equal than logic operator
            bool operator <=(const Monomial& ogn) const noexcept; //Less or Equal than logic operator
            Monomial operator +(const Monomial& ogn) const noexcept; //Addition operator
            Monomial operator -(const Monomial& ogn) const noexcept; //Substraction operator
            Monomial operator *(const Monomial& ogn) const noexcept; //Multiplication operator
            Monomial operator /(const Monomial& ogn) const noexcept; //Division operator
            Monomial operator %(const Monomial& ogn) const noexcept; //Modulus operator
            Monomial& operator +=(const Monomial& ogn) noexcept; //Addition assigment operator
            Monomial& operator -=(const Monomial& ogn) noexcept; //Substraction assigment operator
            Monomial& operator *=(const Monomial& ogn) noexcept; //Multiplication assigment operator
            Monomial& operator /=(const Monomial& ogn) noexcept; //Division assigment operator
            Monomial& operator %=(const Monomial& ogn) noexcept; //Modulus assigment operator
            friend std::stringstream& operator<<(std::stringstream& ss, const Monomial& m); //Stream operator
            friend std::ostream& operator<<(std::ostream& out, const Monomial& m); //Stream operator
            double get_coeff() const noexcept; //Coefficient getter
            int get_degree() const noexcept; //Degree getter
            void set_coeff(double cf) noexcept; //Coefficient setter
            void set_degree(int dgr) noexcept; //Degree setter
            std::string get_expression() const noexcept; //String expression getter
            double get_value(const double& x) const noexcept; //Value for x getter
            ~Monomial(); //Destructor
        private:
            double coeff;
            int degree;
            void swap(Monomial& ogn) noexcept; //Swap function
    };
    class Polynomial {
        public:
            Polynomial() noexcept; //Default constructor
            Polynomial(const std::map<int, Monomial> mns) noexcept; //Constructor
            Polynomial(const std::initializer_list<Monomial> mns) noexcept; //List Constructor
            Polynomial(const std::vector<Monomial> mns) noexcept; //Vector Constructor
            Polynomial(const Polynomial& ogn) noexcept; //Copy constructor
            Polynomial(Polynomial&& ogn) noexcept; //Move constructor
            Polynomial& operator =(const Polynomial& ogn) noexcept; //Assigment operator
            Polynomial& operator =(Polynomial&& ogn) noexcept; //Move assigment operator
            bool operator ==(const Polynomial& ogn) const noexcept; //Equal logic operator
            bool operator !=(const Polynomial& ogn) const noexcept; //Not equal logic operator
            bool operator >(const Polynomial& ogn) const noexcept; //Greater than logic operator
            bool operator <(const Polynomial& ogn) const noexcept; //Lesser than logic operator
            bool operator >=(const Polynomial& ogn) const noexcept; //Greater or Equal than logic operator
            bool operator <=(const Polynomial& ogn) const noexcept; //Lesser or Equal than logic operator
            Polynomial operator +(const Polynomial& ogn) const noexcept; //Addition operator
            Polynomial operator -(const Polynomial& ogn) const noexcept; //Substraction operator
            Polynomial operator *(const Polynomial& ogn) const noexcept; //Multiplication operator
            Polynomial operator /(const Polynomial& ogn) const noexcept; //Division operator
            Polynomial operator %(const Polynomial& ogn) const noexcept; //Modulus operator
            Polynomial& operator +=(const Polynomial& ogn) noexcept; //Addition assigment operator
            Polynomial& operator -=(const Polynomial& ogn) noexcept; //Substraction assigment operator
            Polynomial& operator *=(const Polynomial& ogn) noexcept; //Multiplication assigment operator
            Polynomial& operator /=(const Polynomial& ogn) noexcept; //Division assigment operator
            Polynomial& operator %=(const Polynomial& ogn) noexcept; //Modulus assigment operator
            friend std::stringstream& operator<<(std::stringstream& ss, const Polynomial& p) noexcept; //Stream operator
            friend std::ostream& operator<<(std::ostream& out, const Polynomial& p) noexcept; //Stream operator
            int get_degree() const noexcept; //Degree getter
            std::map<int, Monomial> get_monomials() const noexcept; //Monomials getter
            bool is_empty() const noexcept;
            bool push_monomial(const Monomial& m) noexcept; //Monomials appender
            bool push_monomial(Monomial&& m) noexcept; //Monomials appender
            std::string get_expression() const noexcept; //String expression getter
            double get_value(const double& x) const noexcept; //Value for x getter
            Polynomial get_derivative() const noexcept; //Gets the derivative
            Polynomial get_integral() const noexcept; //Gets the integral
            std::vector<std::complex<double>> get_roots() const noexcept;
            ~Polynomial(); //Destructor
        private:
            std::map<int, Monomial> monomials;
            void swap(Polynomial& ogn) noexcept; //Swap function
            Polynomial& redux() noexcept; //Reduces the polynomial
    };
};
#endif