Question

write in C++ polynomial class that the data type of the coefficients is a template parameter. This data type can be any type that has operators for addition, subtraction multiplication and assignment. The class should have a default constructor which results in a zero value. For example our template class would allow us to build polynomails where coefficients are complex numbers ( using the complex<double> type < complex>)

Answer 1

Solution for Above probelm in c++ :

#include <iostream>
using namespace std;

#include <iostream>
#include <iomanip>

template <typename T> class MyComplex;

template <typename T>
std::ostream & operator<< (std::ostream & out, const MyComplex<T> & c);
template <typename T>
std::istream & operator>> (std::istream & in, MyComplex<T> & c);

template <typename T>
class MyComplex {
private:
T real, imag;

public:

explicit MyComplex<T> (T real = 0, T imag = 0)
: real(real), imag(imag) { }


MyComplex<T> & operator+= (const MyComplex<T> & rhs) {
real += rhs.real;
imag += rhs.imag;
return *this;
}


MyComplex<T> & operator+= (T value) {
real += value;
return *this;
}


bool operator== (const MyComplex<T> & rhs) const {
return (real == rhs.real && imag == rhs.imag);
}


bool operator!= (const MyComplex<T> & rhs) const {
return !(*this == rhs);
}

MyComplex<T> & operator++ ();


const MyComplex<T> operator++ (int dummy);




friend std::ostream & operator<< <>(std::ostream & out, const MyComplex<T> & c); // out << c
friend std::istream & operator>> <>(std::istream & in, MyComplex<T> & c); // in >> c


friend const MyComplex<T> operator+ (const MyComplex<T> & lhs, const MyComplex<T> & rhs) {
MyComplex<T> result(lhs);
result += rhs; // uses overload +=
return result;
}


friend const MyComplex<T> operator+ (const MyComplex<T> & lhs, T value) {
MyComplex<T> result(lhs);
result += value; // uses overload +=
return result;
}


friend const MyComplex<T> operator+ (T value, const MyComplex<T> & rhs) {
return rhs + value; // swap and use above function
}
};

template <typename T>
MyComplex<T> & MyComplex<T>::operator++ () {
++real; // increment real part only
return *this;
}

template <typename T>
const MyComplex<T> MyComplex<T>::operator++ (int dummy) {
MyComplex<T> saved(*this);
++real; // increment real part only
return saved;
}

template <typename T>
std::ostream & operator<< (std::ostream & out, const MyComplex<T> & c) {
out << '(' << c.real << ',' << c.imag << ')';
return out;
}

template <typename T>
std::istream & operator>> (std::istream & in, MyComplex<T> & c) {
T inReal, inImag;
char inChar;
bool validInput = false;

in >> inChar;
if (inChar == '(') {
in >> inReal >> inChar;
if (inChar == ',') {
in >> inImag >> inChar;
if (inChar == ')') {
c = MyComplex<T>(inReal, inImag);
validInput = true;
}
}
}
if (!validInput) in.setstate(std::ios_base::failbit);
return in;
}

int main() {
std::cout << std::fixed << std::setprecision(2);

MyComplex<double> c1(3.1, 4.2);
std::cout << c1 << std::endl; // (3.10,4.20)
MyComplex<double> c2(3.1);
std::cout << c2 << std::endl; // (3.10,0.00)

MyComplex<double> c3 = c1 + c2;
std::cout << c3 << std::endl; // (6.20,4.20)
c3 = c1 + 2.1;
std::cout << c3 << std::endl; // (5.20,4.20)
c3 = 2.2 + c1;
std::cout << c3 << std::endl; // (5.30,4.20)

c3 += c1;
std::cout << c3 << std::endl; // (8.40,8.40)
c3 += 2.3;
std::cout << c3 << std::endl; // (10.70,8.40)

std::cout << ++c3 << std::endl; // (11.70,8.40)
std::cout << c3++ << std::endl; // (11.70,8.40)
std::cout << c3 << std::endl; // (12.70,8.40)

MyComplex<int> c4 = (MyComplex<int>)5; // explicit type casting allowed
std::cout << c4 << std::endl; // (5,0)

MyComplex<int> c5;
std::cout << "Enter a complex number in (real,imag): ";
std::cin >> c5;
if (std::cin.good()) {
std::cout << c5 << std::endl;
} else {
std::cerr << "Invalid input" << std::endl;
}
return 0;
}