至少在gcc 5.4中，虚函数可以是模板成员，但必须是模板本身。

#include <iostream>
#include <string>
class first {
protected:
    virtual std::string  a1() { return "a1"; }
    virtual std::string  mixt() { return a1(); }
};

class last {
protected:
    virtual std::string a2() { return "a2"; }
};

template<class T>  class mix: first , T {
    public:
    virtual std::string mixt() override;
};

template<class T> std::string mix<T>::mixt() {
   return a1()+" before "+T::a2();
}

class mix2: public mix<last>  {
    virtual std::string a1() override { return "mix"; }
};

int main() {
    std::cout << mix2().mixt();
    return 0;
}

输出

mix before a2
Process finished with exit code 0

下面的代码可以在windows 7上使用mingwg++ 3.4.5编译并正常运行:

#include <iostream>
#include <string>

using namespace std;

template <typename T>
class A{
public:
    virtual void func1(const T& p)
    {
        cout<<"A:"<<p<<endl;
    }
};

template <typename T>
class B
: public A<T>
{
public:
    virtual void func1(const T& p)
    {
        cout<<"A<--B:"<<p<<endl;
    }
};

int main(int argc, char** argv)
{
    A<string> a;
    B<int> b;
    B<string> c;

    A<string>* p = &a;
    p->func1("A<string> a");
    p = dynamic_cast<A<string>*>(&c);
    p->func1("B<string> c");
    B<int>* q = &b;
    q->func1(3);
}

输出为:

A:A<string> a
A<--B:B<string> c
A<--B:3

后来我又添加了一个新类X:

class X
{
public:
    template <typename T>
    virtual void func2(const T& p)
    {
        cout<<"C:"<<p<<endl;
    }
};

当我试图在main()中像这样使用类X时:

X x;
x.func2<string>("X x");

g++报告以下错误:

vtempl.cpp:34: error: invalid use of `virtual' in template declaration of `virtu
al void X::func2(const T&)'

所以很明显:

虚成员函数可以在类模板中使用。编译器可以很容易地构造虚表 将类模板成员函数定义为虚函数是不可能的，如你所见，很难确定函数签名和分配虚表项。

我目前的解决方案如下(禁用RTTI -你也可以使用std::type_index):

#include <type_traits>
#include <iostream>
#include <tuple>

class Type
{
};

template<typename T>
class TypeImpl : public Type
{

};

template<typename T>
inline Type* typeOf() {
    static Type* typePtr = new TypeImpl<T>();
    return typePtr;
}

/* ------------- */

template<
    typename Calling
    , typename Result = void
    , typename From
    , typename Action
>
inline Result DoComplexDispatch(From* from, Action&& action);

template<typename Cls>
class ChildClasses
{
public:
    using type = std::tuple<>;
};

template<typename... Childs>
class ChildClassesHelper
{
public:
    using type = std::tuple<Childs...>;
};

//--------------------------

class A;
class B;
class C;
class D;

template<>
class ChildClasses<A> : public ChildClassesHelper<B, C, D> {};

template<>
class ChildClasses<B> : public ChildClassesHelper<C, D> {};

template<>
class ChildClasses<C> : public ChildClassesHelper<D> {};

//-------------------------------------------

class A
{
public:
    virtual Type* GetType()
    {
        return typeOf<A>();
    }

    template<
        typename T,
        bool checkType = true
    >
        /*virtual*/void DoVirtualGeneric()
    {
        if constexpr (checkType)
        {
            return DoComplexDispatch<A>(this, [&](auto* other) -> decltype(auto)
                {
                    return other->template DoVirtualGeneric<T, false>();
                });
        }
        std::cout << "A";
    }
};

class B : public A
{
public:
    virtual Type* GetType()
    {
        return typeOf<B>();
    }
    template<
        typename T,
        bool checkType = true
    >
    /*virtual*/void DoVirtualGeneric() /*override*/
    {
        if constexpr (checkType)
        {
            return DoComplexDispatch<B>(this, [&](auto* other) -> decltype(auto)
                {
                    other->template DoVirtualGeneric<T, false>();
                });
        }
        std::cout << "B";
    }
};

class C : public B
{
public:
    virtual Type* GetType() {
        return typeOf<C>();
    }

    template<
        typename T,
        bool checkType = true
    >
    /*virtual*/void DoVirtualGeneric() /*override*/
    {
        if constexpr (checkType)
        {
            return DoComplexDispatch<C>(this, [&](auto* other) -> decltype(auto)
                {
                    other->template DoVirtualGeneric<T, false>();
                });
        }
        std::cout << "C";
    }
};

class D : public C
{
public:
    virtual Type* GetType() {
        return typeOf<D>();
    }
};

int main()
{
    A* a = new A();
    a->DoVirtualGeneric<int>();
}

// --------------------------

template<typename Tuple>
class RestTuple {};

template<
    template<typename...> typename Tuple,
    typename First,
    typename... Rest
>
class RestTuple<Tuple<First, Rest...>> {
public:
    using type = Tuple<Rest...>;
};

// -------------
template<
    typename CandidatesTuple
    , typename Result
    , typename From
    , typename Action
>
inline constexpr Result DoComplexDispatchInternal(From* from, Action&& action, Type* fromType)
{
    using FirstCandidate = std::tuple_element_t<0, CandidatesTuple>;

    if constexpr (std::tuple_size_v<CandidatesTuple> == 1)
    {
        return action(static_cast<FirstCandidate*>(from));
    }
    else {
        if (fromType == typeOf<FirstCandidate>())
        {
            return action(static_cast<FirstCandidate*>(from));
        }
        else {
            return DoComplexDispatchInternal<typename RestTuple<CandidatesTuple>::type, Result>(
                from, action, fromType
            );
        }
    }
}

template<
    typename Calling
    , typename Result
    , typename From
    , typename Action
>
inline Result DoComplexDispatch(From* from, Action&& action)
{
    using ChildsOfCalling = typename ChildClasses<Calling>::type;
    if constexpr (std::tuple_size_v<ChildsOfCalling> == 0)
    {
        return action(static_cast<Calling*>(from));
    }
    else {
        auto fromType = from->GetType();
        using Candidates = decltype(std::tuple_cat(std::declval<std::tuple<Calling>>(), std::declval<ChildsOfCalling>()));
        return DoComplexDispatchInternal<Candidates, Result>(
            from, std::forward<Action>(action), fromType
        );
    }
}

我唯一不喜欢的是你必须定义/注册所有的子类。

至少在gcc 5.4中，虚函数可以是模板成员，但必须是模板本身。

#include <iostream>
#include <string>
class first {
protected:
    virtual std::string  a1() { return "a1"; }
    virtual std::string  mixt() { return a1(); }
};

class last {
protected:
    virtual std::string a2() { return "a2"; }
};

template<class T>  class mix: first , T {
    public:
    virtual std::string mixt() override;
};

template<class T> std::string mix<T>::mixt() {
   return a1()+" before "+T::a2();
}

class mix2: public mix<last>  {
    virtual std::string a1() override { return "mix"; }
};

int main() {
    std::cout << mix2().mixt();
    return 0;
}

输出

mix before a2
Process finished with exit code 0

C++ doesn't allow virtual template member functions right now. The most likely reason is the complexity of implementing it. Rajendra gives good reason why it can't be done right now but it could be possible with reasonable changes of the standard. Especially working out how many instantiations of a templated function actually exist and building up the vtable seems difficult if you consider the place of the virtual function call. Standards people just have a lot of other things to do right now and C++1x is a lot of work for the compiler writers as well.

什么时候需要模板成员函数?我曾经遇到过这样的情况，我试图用纯虚拟基类重构一个层次结构。这是一种执行不同策略的糟糕风格。我想将其中一个虚函数的实参更改为数值类型，而不是重载成员函数并覆盖所有子类中的每一个重载，我尝试使用虚模板函数(并且不得不发现它们不存在)。

回答问题的第二部分:

如果它们可以是虚拟的，那么有什么场景可以使用这样的函数呢?

这并不是一件不合理的事情。例如，Java(每个方法都是虚的)使用泛型方法没有问题。

c++中需要虚函数模板的一个例子是接受泛型迭代器的成员函数。或接受泛型函数对象的成员函数。

这个问题的解决方案是使用boost::any_range和boost::function的类型擦除，这将允许您接受泛型迭代器或函子，而不需要使您的函数成为模板。