C++ 模板重载 << 运算符出错 error: template-id ‘operator<< ’ for ‘std::ostream& operator<<(std::ostream&, Complex&)’ does not match any template declaration

#include 
using namespace std;

template
class Complex
{
	public :
		Complex()
		{

		}
		Complex(T a, T b)
		{
			this->a = a;
			this->b = b;
		}

		void printComplex()
		{
			cout << a << "+j" << b << endl;
		}

		friend ostream & operator<< (ostream &os, Complex &c);

#if 0
		// 这种方式不会报错，但是另外那种方式一直出错
		friend ostream & operator<<(ostream &os, Complex& c)
		{
			os << c.a << "+j" << c.b << endl;
			return os;
		}

#endif

		Complex operator+(const Complex &c)
		{
			return Complex(this->a+c.a, this->b+c.b);
		}

	private :
		T a;
		T b;
};

template
ostream & operator<<(ostream &os, Complex &c)
{
	os << c.a << "+j" << c.b << endl;
	return os;
}

int main()
{
	Complex c1(10, 20);
	c1.printComplex();

	Complex c2(1, 2);
	c2.printComplex();

	Complex c3 = c1+c2;
	cout << c3;

	return 0;
}

以上代码出以下错误

error: template-id ‘operator<< ’ for ‘std::ostream& operator<<(std::ostream&, Complex &)’ does not match any template declaration

苦苦询问度娘，没有找到和我同样错误的，经过多方参考，其实只要在前面对友元函数和类进行申明即可

#include 

using namespace std;

#if 0
如果模板类外实现友元函数，必须在前面对友元函数进行申明，包括类也必须申明
#endif

// 申明，如果不声明，会一直错下去
// template
// class Complex;

template
ostream & operator<<(ostream &os, Complex &c);

template
class Complex
{
	public :
		Complex()
		{

		}
		Complex(T a, T b)
		{
			this->a = a;
			this->b = b;
		}

		void printComplex()
		{
			cout << a << "+j" << b << endl;
		}

		friend ostream & operator<< (ostream &os, Complex &c);

#if 0
		// 这种方式不会报错，但是另外那种方式一直出错
		friend ostream & operator<<(ostream &os, Complex& c)
		{
			os << c.a << "+j" << c.b << endl;
			return os;
		}

#endif

		Complex operator+(const Complex &c)
		{
			return Complex(this->a+c.a, this->b+c.b);
		}

	private :
		T a;
		T b;
};

template
ostream & operator<<(ostream &os, Complex &c)
{
	os << c.a << "+j" << c.b << endl;
	return os;
}

int main()
{
	Complex c1(10, 20);
	c1.printComplex();

	Complex c2(1, 2);
	c2.printComplex();

	Complex c3 = c1+c2;
	cout << c3;

	return 0;
}