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how to get template parameter of a template template parameter?

Assume std::vector didnt have a value_type . Is is possible to write a template to deduce the value_type ? Or more general, given a T<X> , how can I deduce X ?

A very naive..

template <template <typename X> T>
void test(T<X> t) { 
     X x;
}

will probably make anybody who knows a bit about templates laugh at my foolish attempt and when instantiated like this:

int main() {
    std::vector<int> x;
    test(x);
}

create the following errors:

error: expected ‘class’ before ‘T’
 template < template<typename X> T>
                                 ^
error: ‘X’ was not declared in this scope
 void test(T<X> u) {
             ^
error: template argument 1 is invalid
 void test(T<X> u) {
              ^
In function ‘void test(int)’:
error: ‘X’ was not declared in this scope
   X x;
   ^
error: expected ‘;’ before ‘x’
   X x;
     ^
In function ‘int main()’:
error: no matching function for call to ‘test(std::vector<int>&)’
   test(x);
         ^
note: candidate is:
note: template<template<class X> class T> void test(int)
 void test(T<X> u) {
      ^
note:   template argument deduction/substitution failed:
note:   cannot convert ‘x’ (type ‘std::vector<int>’) to type ‘int’

EDIT: the first one is easy to fix, but fixing it wont affect the others...

PS: I think I have a small misunderstanding, as std::vector<int> isnt a template, but a concrete type. However, still I would like to know if there is a way to get the int from a someTemplate<int> with some template magic.

You can create a traits to extract those parameter:

template <typename T> struct first_param;

template <template <typename, typename...> class C, typename T, typename ...Ts>
struct first_param<C<T, Ts...>>
{
    using type = T;
};

For pre C++11, you have to handle number of parameters until acceptable values:

template <typename T> struct first_param;

template <template <typename> class C, typename T>
struct first_param<C<T>>
{
    typedef T type;
};

template <template <typename, typename> class C, typename T, typename T2>
struct first_param<C<T, T2>>
{
    typedef T type;
};

template <template <typename, typename, typename> class C,
          typename T, typename T2, typename T3>
struct first_param<C<T, T2, T3>>
{
    typedef T type;
};

// ...

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