不可以，模板成员函数不能为虚函数。

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。

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。

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)。

在其他答案中，建议的模板函数是一个门面，并不能提供任何实际的好处。

模板函数对于只编写一次代码很有用 不同的类型。 虚函数对于为不同的类提供公共接口非常有用。

该语言不允许虚拟模板函数，但通过一个变通方法，可以同时拥有两者，例如，每个类都有一个模板实现和一个虚拟公共接口。

但是，有必要为每个模板类型组合定义一个虚拟包装器函数:

#include <memory>
#include <iostream>
#include <iomanip>

//---------------------------------------------
// Abstract class with virtual functions
class Geometry {
public:
    virtual void getArea(float &area) = 0;
    virtual void getArea(long double &area) = 0;
};

//---------------------------------------------
// Square
class Square : public Geometry {
public:
    float size {1};

    // virtual wrapper functions call template function for square
    virtual void getArea(float &area) { getAreaT(area); }
    virtual void getArea(long double &area) { getAreaT(area); }

private:
    // Template function for squares
    template <typename T>
    void getAreaT(T &area) {
        area = static_cast<T>(size * size);
    }
};

//---------------------------------------------
// Circle
class Circle : public Geometry  {
public:
    float radius {1};

    // virtual wrapper functions call template function for circle
    virtual void getArea(float &area) { getAreaT(area); }
    virtual void getArea(long double &area) { getAreaT(area); }

private:
    // Template function for Circles
    template <typename T>
    void getAreaT(T &area) {
        area = static_cast<T>(radius * radius * 3.1415926535897932385L);
    }
};


//---------------------------------------------
// Main
int main()
{
    // get area of square using template based function T=float
    std::unique_ptr<Geometry> geometry = std::make_unique<Square>();
    float areaSquare;
    geometry->getArea(areaSquare);

    // get area of circle using template based function T=long double
    geometry = std::make_unique<Circle>();
    long double areaCircle;
    geometry->getArea(areaCircle);

    std::cout << std::setprecision(20) << "Square area is " << areaSquare << ", Circle area is " << areaCircle << std::endl;
    return 0;
}

输出:

方形面积为1，圆形面积为3.1415926535897932385

在这里试试

在虚函数的情况下如何调用正确的函数?

虚表将包含类的每个虚函数的条目，在运行时，它将选择特定函数的地址，并调用各自的函数。

如何正确的函数必须被调用在虚拟情况下连同函数模板?

在函数模板的情况下，用户可以使用任何类型调用该函数。这里相同的函数根据类型有几个版本。现在，在这种情况下，对于同一个函数，由于版本不同，必须维护vtable中的许多项。