问为什么编译器报告“所有控制路径上的operator<<和operator>>递归将导致堆栈溢出"？

EN

#include <iostream>

class fraction {
    int n, d;
public:
    fraction(){}
    fraction(int n, int d) : n(n), d(d) {}
    int getter() { return n, d; }

    friend std::istream& operator>>(std::istream& stream, const fraction& a) {
        stream >> a;
        return stream;
    }

    friend std::ostream& operator<<(std::ostream& stream, const fraction& a) {
        stream << a;
        return stream;
    }

    friend fraction operator*(const fraction& a, const fraction& b) {
        int pN = a.n * b.n;
        int pD = b.n * b.d;
        return fraction(pN, pD);
    }   
};

int main()
{
    fraction f1;
    std::cout << "Enter fraction 1: ";
    std::cin >> f1;

    fraction f2;
    std::cout << "Enter fraction 2: ";
    std::cin >> f2;

    std::cout << f1 << " * " << f2 << " is " << f1 * f2 << '\n'; // note: The result of f1 * f2 is an r-value

    return 0;
}

operator<< and operator>> recursive on all paths, function will cause a stack overflow