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C++11: How to check if a type is an instantiation of a given class-template of “heterogeneous” NON-TYPE parameters?

I know it's trivial to check if a type is an instantiation of a class-template taking TYPE parameters, as explained here: How can I check if a type is an instantiation of a given class template?

But... is it possible to have a variadic "is_instantiation_of__ntp<...>" (NTP standing for Non-Type Params) that would accept templates with any number of heterogeneous NON-TYPE parameters? For example:

template<char*, bool, long, size_t, char>
struct many_hetero_nontype_params_example {};

char HELLO_WORLD[] = "hello world";
using ManyHeteroNontypeParamsEx = many_hetero_nontype_params_example<HELLO_WORLD, false, -16, 777, 'x'>;

And be able to use it as follows:

is_instantiation_of__ntp<char*, bool, long, size_t, char, many_hetero_nontype_params_example, ManyHeteroNontypeParamsEx>::value

I know this can be easily implemented for NON-TYPE parameter lists that are 1) "homogeneous" (values of same type), or 2) few parameters (such that a non-variadic solution is practical). I even wrote a test case demonstrating these special cases (compiled with gcc 4.7.0) to give a better idea of what I'm talking about:

namespace test__is_instantiation_of__
{
    // is_instantiation_of
    template< template<typename...> class Template, typename T >
    struct is_instantiation_of : std::false_type {};
    template< template<typename...> class Template, typename... Args >
    struct is_instantiation_of< Template, Template<Args...> > : std::true_type {};

    // is_instantiation_of__homogeneous_nontype_params__
    template< typename NTP, template<NTP...> class Template, typename T >
    struct is_instantiation_of__homogeneous_nontype_params__ : std::false_type {};
    template< typename NTP, template<NTP...> class Template, NTP... Args >
    struct is_instantiation_of__homogeneous_nontype_params__< NTP, Template, Template<Args...> > : std::true_type {};

    // is_instantiation_of__fixedcount_nontype_params__
    template< typename NTP1, typename NTP2, template<NTP1, NTP2> class Template, typename T >
    struct is_instantiation_of__fixedcount_nontype_params__ : std::false_type {};
    template< typename NTP1, typename NTP2, template<NTP1, NTP2> class Template, NTP1 v1, NTP2 v2 >
    struct is_instantiation_of__fixedcount_nontype_params__< NTP1, NTP2, Template, Template<v1, v2> > : std::true_type {};

    // type_params_example
    template<typename T1, typename T2, typename T3>
    struct type_params_example {};

    // homogeneous_nontype_params_example
    template<bool B1, bool B2, bool B3, bool B4>
    struct homogeneous_nontype_params_example {};

    // fixedcount_nontype_params_example
    template<long L, char C>
    struct fixedcount_nontype_params_example {};

    using /*.........*/ TypeParamsEx = /*..........*/ type_params_example<std::string, std::tuple<long, void*>, double>;
    using  HomogenousNontypeParamsEx = homogeneous_nontype_params_example<true, false, true, false>;
    using  FixedCountNontypeParamsEx = fixedcount_nontype_params_example<777, 'x'>;

    void run()
    {
        using std::cout;
        using std::endl;

        if ( is_instantiation_of<type_params_example, TypeParamsEx>::value ) {
            cout << "[TypeParamsEx] specializes [type_params_example]" << endl;
        }
        if ( is_instantiation_of<type_params_example, HomogenousNontypeParamsEx>::value ) {
            cout << "[HomogenousNontypeParamsEx] specializes [type_params_example]" << endl;
        }
        if ( is_instantiation_of<type_params_example, FixedCountNontypeParamsEx>::value ) {
            cout << "[FixedCountNontypeParamsEx] specializes [type_params_example]" << endl;
        }

        if ( is_instantiation_of__homogeneous_nontype_params__<bool, homogeneous_nontype_params_example, TypeParamsEx>::value ) {
            cout << "[TypeParamsEx] specializes [homogeneous_nontype_params_example]" << endl;
        }
        if ( is_instantiation_of__homogeneous_nontype_params__<bool, homogeneous_nontype_params_example, HomogenousNontypeParamsEx>::value ) {
            cout << "[HomogenousNontypeParamsEx] specializes [homogeneous_nontype_params_example]" << endl;
        }
        if ( is_instantiation_of__homogeneous_nontype_params__<bool, homogeneous_nontype_params_example, FixedCountNontypeParamsEx>::value ) {
            cout << "[FixedCountNontypeParamsEx] specializes [homogeneous_nontype_params_example]" << endl;
        }

        if ( is_instantiation_of__fixedcount_nontype_params__<long, char, fixedcount_nontype_params_example, TypeParamsEx>::value ) {
            cout << "[TypeParamsEx] specializes [fixedcount_nontype_params_example]" << endl;
        }
        if ( is_instantiation_of__fixedcount_nontype_params__<long, char, fixedcount_nontype_params_example, HomogenousNontypeParamsEx>::value ) {
            cout << "[HomogenousNontypeParamsEx] specializes [fixedcount_nontype_params_example]" << endl;
        }
        if ( is_instantiation_of__fixedcount_nontype_params__<long, char, fixedcount_nontype_params_example, FixedCountNontypeParamsEx>::value ) {
            cout << "[FixedCountNontypeParamsEx] specializes [fixedcount_nontype_params_example]" << endl;
        }
    }
}

As expected, the output you get is:

[TypeParamsEx] specializes [type_params_example]
[HomeogenousNonTypeParamsEx] specializes [homogeneous_nontype_params_example]
[FixedCountNonTypeParamsEx] specializes [fixedcount_nontype_params_example]

The problem is none of those templates work for the many_hetero_nontype_params_example (above). Ie: a single, variadic "is_instantiation_of__ntp" that would accept templates with any number of heterogeneous non-type parameters.

I think if primary-templates weren't required to have parameter-packs at the end of the template parameter list, then this would be easy to implement. Or if it were possible to use a wrapper-struct/nested-struct approach. Here are my (failed) attempts:

namespace test__is_instantiation_of__nontypes__
{
    template<char*, bool, long, size_t, char>
    struct many_hetero_nontype_params_example {};

    char HELLO_WORLD[] = "hello world";
    using ManyHeteroNontypeParamsEx = many_hetero_nontype_params_example<HELLO_WORLD, false, -16, 777, 'x'>;

    /*
     * is_instantiation_of__nontypes_v1__ (version 1)
     * if uncommented, syntax error as expected ...
     *   error: parameter pack 'NTPs' must be at the end of the template parameter list
     *   error: parameter pack argument 'NTPs ...' must be at the end of the template argument list
     */
    //template< typename... NTPs, template<NTPs...> class Template, typename T >
    //struct is_instantiation_of__nontypes_v1__ : std::true_type {};
    //template< typename... NTPs, template<NTPs...> class Template, NTPs... NonTypeArgs >
    //struct is_instantiation_of__nontypes_v1__< NTPs..., Template, Template<NonTypeArgs...> > : std::true_type {};

    /*
     * is_instantiation_of__nontypes_v2__ (version 2)
     * no syntax error (but see instantiation errors below)
     */
    template<typename... NTPs>
    struct is_instantiation_of__nontypes_v2__
    {
        template< template<NTPs...> class Template, typename T >
        struct impl : std::false_type {};

        template< template<NTPs...> class Template, NTPs... NonTypeArgs >
        struct impl< Template, Template<NonTypeArgs...> > : std::true_type {};
    };

    void run()
    {
        /*
         * uncommented since "v1" template has syntax error, but this is how it would be used ...
         */
        //if ( is_instantiation_of__nontypes_v1__<char*, bool, long, size_t, char, many_hetero_nontype_params_example, ManyHeteroNontypeParamsEx>::value ) {
        //  std::cout << "yes" << std::endl;
        //}

        /*
         * "v2" template has no syntax error, but the following attempt to use it results in these errors ...
         *
         *   error: type/value mismatch at argument 1 in template parameter list for 'template<class ... NTPs> template<template<template<NTPs ...<anonymous> > class Template, class T> template<class ... NTPs> template<NTPs ...<anonymous> > class Template, class T> struct is_instantiation_of__nontypes_v2__<NTPs>::impl'
         *   error: expected a template of type 'template<class ... NTPs> template<NTPs ...<anonymous> > class Template', got 'template<char* <anonymous>, bool <anonymous>, long int <anonymous>, long unsigned int <anonymous>, char <anonymous> > struct many_hetero_nontype_params_example'
         */
        //if ( is_instantiation_of__nontypes_v2__<char*, bool, long, size_t, char>::impl<many_hetero_nontype_params_example, ManyHeteroNontypeParamsEx>::value ) {
        //  std::cout << "yes" << std::endl;
        //}
    }
}

...

Is a variadic solution for this even possible?

Thanks in advance.

You have probably hit a compiler bug. I tried to reduce this to a simpler example:

#include <iostream>

template<bool, char> struct A { };

template<typename... Ts>
struct test
{  
    template<typename T>
    struct impl : std::false_type {};

    template<Ts... Args>
    struct impl<A<Args...>> : std::true_type {};
};

int main()
{
    using IA = A<false, 'x'>;
    std::cout << ((test<bool, char>::impl<IA>::value) ? "Y" : "N");
}

GCC 4.7.2 compiles this, but the compiled program prints the wrong output ( N ). On the other hand, Clang 3.2 gets this right, and the compiled program prints the correct output ( Y ).

Here is a slightly modified version of the above program, where the test class template much resembling your is_instantiation_of__nontypes_v2__ class template:

#include <iostream>

template<bool, char> struct A {};

template<typename... Ts>
struct test
{  
    template<template<Ts...> class TT, typename T>
    struct impl : std::false_type {};

    template<template<Ts...> class TT, Ts... Args>
    struct impl<TT, TT<Args...>> : std::true_type {};
};

int main()
{
    using IA = A<false, 'x'>;
    std::cout << ((test<bool, char>::impl<A, IA>::value) ? "Y" : "N");
}

While Clang compiles this and the compiled program prints the correct output ( Y ), GCC emits the following compilation error:

expected a template of type 'template<class ... Ts> template<Ts ...<anonymous> > class TT' , got 'template<bool <anonymous>, char <anonymous> > struct A' .

It looks like GCC does not recognize that the first template template parameter should have a template argument list given by the expansion of Ts . Therefore, it seems to me this is a bug of GCC.

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