eigen/test/meta.cpp

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#include "main.h"

#include <array>
#include <Eigen/src/Core/util/Meta.h>

template<typename From, typename To>
bool check_is_convertible(const From&, const To&)
{
  return internal::is_convertible<From,To>::value;
}

struct FooReturnType {
  typedef int ReturnType;
};

struct MyInterface {
  virtual void func() = 0;
  virtual ~MyInterface() {}
};
struct MyImpl : public MyInterface {
  void func() {}
};

EIGEN_DECLARE_TEST(meta)
{
  VERIFY(( internal::is_same<float,float>::value));
  VERIFY((!internal::is_same<float,double>::value));
  VERIFY((!internal::is_same<float,float&>::value));
  VERIFY((!internal::is_same<float,const float&>::value));

  VERIFY(( internal::is_same<float,internal::remove_all_t<const float&> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<const float*> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<const float*&> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<float**> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<float**&> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<float* const *&> >::value));
  VERIFY(( internal::is_same<float,internal::remove_all_t<float* const> >::value));

  // test add_const_on_value_type
  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<float&>, float const& >::value));
  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<float*>, float const* >::value));

  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<float>, const float >::value));
  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<const float>, const float >::value));

  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<const float* const>, const float* const>::value));
  VERIFY(( internal::is_same< internal::add_const_on_value_type_t<float* const>, const float* const>::value));

  // is_convertible
  STATIC_CHECK(( internal::is_convertible<float,double>::value ));
  STATIC_CHECK(( internal::is_convertible<int,double>::value ));
  STATIC_CHECK(( internal::is_convertible<int, short>::value ));
  STATIC_CHECK(( internal::is_convertible<short, int>::value ));
  STATIC_CHECK(( internal::is_convertible<double,int>::value ));
  STATIC_CHECK(( internal::is_convertible<double,std::complex<double> >::value ));
  STATIC_CHECK((!internal::is_convertible<std::complex<double>,double>::value ));
  STATIC_CHECK(( internal::is_convertible<Array33f,Matrix3f>::value ));
  STATIC_CHECK(( internal::is_convertible<Matrix3f&,Matrix3f>::value ));
  STATIC_CHECK(( internal::is_convertible<Matrix3f&,Matrix3f&>::value ));
  STATIC_CHECK(( internal::is_convertible<Matrix3f&,const Matrix3f&>::value ));
  STATIC_CHECK(( internal::is_convertible<const Matrix3f&,Matrix3f>::value ));
  STATIC_CHECK(( internal::is_convertible<const Matrix3f&,const Matrix3f&>::value ));
  STATIC_CHECK((!internal::is_convertible<const Matrix3f&,Matrix3f&>::value ));
  STATIC_CHECK((!internal::is_convertible<const Matrix3f,Matrix3f&>::value ));
  STATIC_CHECK(!( internal::is_convertible<Matrix3f,Matrix3f&>::value ));

  STATIC_CHECK(!( internal::is_convertible<int,int&>::value ));
  STATIC_CHECK(( internal::is_convertible<const int,const int& >::value ));

  //STATIC_CHECK((!internal::is_convertible<Matrix3f,Matrix3d>::value )); //does not even compile because the conversion is prevented by a static assertion
  STATIC_CHECK((!internal::is_convertible<Array33f,int>::value ));
  STATIC_CHECK((!internal::is_convertible<MatrixXf,float>::value ));
  {
    float f = 0.0f;
    MatrixXf A, B;
    VectorXf a, b;
    VERIFY(( check_is_convertible(a.dot(b), f) ));
    VERIFY(( check_is_convertible(a.transpose()*b, f) ));
    VERIFY((!check_is_convertible(A*B, f) ));
    VERIFY(( check_is_convertible(A*B, A) ));
  }

  #if (EIGEN_COMP_GNUC_STRICT  && EIGEN_COMP_GNUC  <=  990) \
   || (EIGEN_COMP_CLANG_STRICT && EIGEN_COMP_CLANG <=  990) \
   || (EIGEN_COMP_MSVC         && EIGEN_COMP_MSVC  <= 1914)
  // See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=1752,
  // basically, a fix in the c++ standard breaks our c++98 implementation
  // of is_convertible for abstract classes.
  // So the following tests are expected to fail with recent compilers.

  STATIC_CHECK(( !internal::is_convertible<MyInterface, MyImpl>::value ));
  STATIC_CHECK(( !internal::is_convertible<MyImpl, MyInterface>::value ));
  STATIC_CHECK((  internal::is_convertible<MyImpl, const MyInterface&>::value ));

  #endif

  {
    int i = 0;
    VERIFY(( check_is_convertible(fix<3>(), i) ));
    VERIFY((!check_is_convertible(i, fix<DynamicIndex>()) ));
  }


  VERIFY((  internal::has_ReturnType<FooReturnType>::value ));
  VERIFY((  internal::has_ReturnType<ScalarBinaryOpTraits<int,int> >::value ));
  VERIFY(( !internal::has_ReturnType<MatrixXf>::value ));
  VERIFY(( !internal::has_ReturnType<int>::value ));

  VERIFY(internal::meta_sqrt<1>::ret == 1);
  #define VERIFY_META_SQRT(X) VERIFY(internal::meta_sqrt<X>::ret == int(std::sqrt(double(X))))
  VERIFY_META_SQRT(2);
  VERIFY_META_SQRT(3);
  VERIFY_META_SQRT(4);
  VERIFY_META_SQRT(5);
  VERIFY_META_SQRT(6);
  VERIFY_META_SQRT(8);
  VERIFY_META_SQRT(9);
  VERIFY_META_SQRT(15);
  VERIFY_META_SQRT(16);
  VERIFY_META_SQRT(17);
  VERIFY_META_SQRT(255);
  VERIFY_META_SQRT(256);
  VERIFY_META_SQRT(257);
  VERIFY_META_SQRT(1023);
  VERIFY_META_SQRT(1024);
  VERIFY_META_SQRT(1025);
}

using Eigen::internal::is_same;
using Eigen::internal::type_list;
using Eigen::internal::numeric_list;
using Eigen::internal::gen_numeric_list;
using Eigen::internal::gen_numeric_list_reversed;
using Eigen::internal::gen_numeric_list_swapped_pair;
using Eigen::internal::gen_numeric_list_repeated;
using Eigen::internal::concat;
using Eigen::internal::mconcat;
using Eigen::internal::take;
using Eigen::internal::skip;
using Eigen::internal::slice;
using Eigen::internal::get;
using Eigen::internal::id_numeric;
using Eigen::internal::id_type;
using Eigen::internal::is_same_gf;
using Eigen::internal::apply_op_from_left;
using Eigen::internal::apply_op_from_right;
using Eigen::internal::contained_in_list;
using Eigen::internal::contained_in_list_gf;
using Eigen::internal::arg_prod;
using Eigen::internal::arg_sum;
using Eigen::internal::sum_op;
using Eigen::internal::product_op;
using Eigen::internal::array_reverse;
using Eigen::internal::array_sum;
using Eigen::internal::array_prod;
using Eigen::internal::array_reduce;
using Eigen::internal::array_zip;
using Eigen::internal::array_zip_and_reduce;
using Eigen::internal::array_apply;
using Eigen::internal::array_apply_and_reduce;
using Eigen::internal::repeat;
using Eigen::internal::instantiate_by_c_array;

struct dummy_a {};
struct dummy_b {};
struct dummy_c {};
struct dummy_d {};
struct dummy_e {};

// dummy operation for testing apply
template<typename A, typename B> struct dummy_op;
template<> struct dummy_op<dummy_a, dummy_b> { typedef dummy_c type; };
template<> struct dummy_op<dummy_b, dummy_a> { typedef dummy_d type; };
template<> struct dummy_op<dummy_b, dummy_c> { typedef dummy_a type; };
template<> struct dummy_op<dummy_c, dummy_b> { typedef dummy_d type; };
template<> struct dummy_op<dummy_c, dummy_a> { typedef dummy_b type; };
template<> struct dummy_op<dummy_a, dummy_c> { typedef dummy_d type; };
template<> struct dummy_op<dummy_a, dummy_a> { typedef dummy_e type; };
template<> struct dummy_op<dummy_b, dummy_b> { typedef dummy_e type; };
template<> struct dummy_op<dummy_c, dummy_c> { typedef dummy_e type; };

template<typename A, typename B> struct dummy_test { constexpr static bool value = false; constexpr static int global_flags = 0; };
template<> struct dummy_test<dummy_a, dummy_a>     { constexpr static bool value = true;  constexpr static int global_flags = 1; };
template<> struct dummy_test<dummy_b, dummy_b>     { constexpr static bool value = true;  constexpr static int global_flags = 2; };
template<> struct dummy_test<dummy_c, dummy_c>     { constexpr static bool value = true;  constexpr static int global_flags = 4; };

struct times2_op { template<typename A> static A run(A v) { return v * 2; } };

struct dummy_inst
{
  int c;

  dummy_inst() : c(0) {}
  explicit dummy_inst(int) : c(1) {}
  dummy_inst(int, int) : c(2) {}
  dummy_inst(int, int, int) : c(3) {}
  dummy_inst(int, int, int, int) : c(4) {}
  dummy_inst(int, int, int, int, int) : c(5) {}
};

static void test_gen_numeric_list()
{
  VERIFY((is_same<typename gen_numeric_list<int, 0>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 1>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 2>::type, numeric_list<int, 0, 1>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 5>::type, numeric_list<int, 0, 1, 2, 3, 4>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 10>::type, numeric_list<int, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9>>::value));

  VERIFY((is_same<typename gen_numeric_list<int, 0, 42>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 1, 42>::type, numeric_list<int, 42>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 2, 42>::type, numeric_list<int, 42, 43>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 5, 42>::type, numeric_list<int, 42, 43, 44, 45, 46>>::value));
  VERIFY((is_same<typename gen_numeric_list<int, 10, 42>::type, numeric_list<int, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51>>::value));

  VERIFY((is_same<typename gen_numeric_list_reversed<int, 0>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 1>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 2>::type, numeric_list<int, 1, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 5>::type, numeric_list<int, 4, 3, 2, 1, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 10>::type, numeric_list<int, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0>>::value));

  VERIFY((is_same<typename gen_numeric_list_reversed<int, 0, 42>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 1, 42>::type, numeric_list<int, 42>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 2, 42>::type, numeric_list<int, 43, 42>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 5, 42>::type, numeric_list<int, 46, 45, 44, 43, 42>>::value));
  VERIFY((is_same<typename gen_numeric_list_reversed<int, 10, 42>::type, numeric_list<int, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42>>::value));

  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 0, 2, 3>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 1, 2, 3>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 2, 2, 3>::type, numeric_list<int, 0, 1>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 5, 2, 3>::type, numeric_list<int, 0, 1, 3, 2, 4>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 10, 2, 3>::type, numeric_list<int, 0, 1, 3, 2, 4, 5, 6, 7, 8, 9>>::value));

  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 0, 44, 45, 42>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 1, 44, 45, 42>::type, numeric_list<int, 42>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 2, 44, 45, 42>::type, numeric_list<int, 42, 43>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 5, 44, 45, 42>::type, numeric_list<int, 42, 43, 45, 44, 46>>::value));
  VERIFY((is_same<typename gen_numeric_list_swapped_pair<int, 10, 44, 45, 42>::type, numeric_list<int, 42, 43, 45, 44, 46, 47, 48, 49, 50, 51>>::value));

  VERIFY((is_same<typename gen_numeric_list_repeated<int, 0, 0>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename gen_numeric_list_repeated<int, 1, 0>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_repeated<int, 2, 0>::type, numeric_list<int, 0, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_repeated<int, 5, 0>::type, numeric_list<int, 0, 0, 0, 0, 0>>::value));
  VERIFY((is_same<typename gen_numeric_list_repeated<int, 10, 0>::type, numeric_list<int, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0>>::value));
}

static void test_concat()
{
  VERIFY((is_same<typename concat<type_list<dummy_a, dummy_a>, type_list<>>::type, type_list<dummy_a, dummy_a>>::value));
  VERIFY((is_same<typename concat<type_list<>, type_list<dummy_a, dummy_a>>::type, type_list<dummy_a, dummy_a>>::value));
  VERIFY((is_same<typename concat<type_list<dummy_a, dummy_a>, type_list<dummy_a, dummy_a>>::type, type_list<dummy_a, dummy_a, dummy_a, dummy_a>>::value));
  VERIFY((is_same<typename concat<type_list<dummy_a, dummy_a>, type_list<dummy_b, dummy_c>>::type, type_list<dummy_a, dummy_a, dummy_b, dummy_c>>::value));
  VERIFY((is_same<typename concat<type_list<dummy_a>, type_list<dummy_b, dummy_c>>::type, type_list<dummy_a, dummy_b, dummy_c>>::value));

  VERIFY((is_same<typename concat<numeric_list<int, 0, 0>, numeric_list<int>>::type, numeric_list<int, 0, 0>>::value));
  VERIFY((is_same<typename concat<numeric_list<int>, numeric_list<int, 0, 0>>::type, numeric_list<int, 0, 0>>::value));
  VERIFY((is_same<typename concat<numeric_list<int, 0, 0>, numeric_list<int, 0, 0>>::type, numeric_list<int, 0, 0, 0, 0>>::value));
  VERIFY((is_same<typename concat<numeric_list<int, 0, 0>, numeric_list<int, 1, 2>>::type, numeric_list<int, 0, 0, 1, 2>>::value));
  VERIFY((is_same<typename concat<numeric_list<int, 0>, numeric_list<int, 1, 2>>::type, numeric_list<int, 0, 1, 2>>::value));

  VERIFY((is_same<typename mconcat<type_list<dummy_a>>::type, type_list<dummy_a>>::value));
  VERIFY((is_same<typename mconcat<type_list<dummy_a>, type_list<dummy_b>>::type, type_list<dummy_a, dummy_b>>::value));
  VERIFY((is_same<typename mconcat<type_list<dummy_a>, type_list<dummy_b>, type_list<dummy_c>>::type, type_list<dummy_a, dummy_b, dummy_c>>::value));
  VERIFY((is_same<typename mconcat<type_list<dummy_a>, type_list<dummy_b, dummy_c>>::type, type_list<dummy_a, dummy_b, dummy_c>>::value));
  VERIFY((is_same<typename mconcat<type_list<dummy_a, dummy_b>, type_list<dummy_c>>::type, type_list<dummy_a, dummy_b, dummy_c>>::value));

  VERIFY((is_same<typename mconcat<numeric_list<int, 0>>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename mconcat<numeric_list<int, 0>, numeric_list<int, 1>>::type, numeric_list<int, 0, 1>>::value));
  VERIFY((is_same<typename mconcat<numeric_list<int, 0>, numeric_list<int, 1>, numeric_list<int, 2>>::type, numeric_list<int, 0, 1, 2>>::value));
  VERIFY((is_same<typename mconcat<numeric_list<int, 0>, numeric_list<int, 1, 2>>::type, numeric_list<int, 0, 1, 2>>::value));
  VERIFY((is_same<typename mconcat<numeric_list<int, 0, 1>, numeric_list<int, 2>>::type, numeric_list<int, 0, 1, 2>>::value));
}

static void test_slice()
{
  typedef type_list<dummy_a, dummy_a, dummy_b, dummy_b, dummy_c, dummy_c> tl;
  typedef numeric_list<int, 0, 1, 2, 3, 4, 5> il;

  VERIFY((is_same<typename take<0, tl>::type, type_list<>>::value));
  VERIFY((is_same<typename take<1, tl>::type, type_list<dummy_a>>::value));
  VERIFY((is_same<typename take<2, tl>::type, type_list<dummy_a, dummy_a>>::value));
  VERIFY((is_same<typename take<3, tl>::type, type_list<dummy_a, dummy_a, dummy_b>>::value));
  VERIFY((is_same<typename take<4, tl>::type, type_list<dummy_a, dummy_a, dummy_b, dummy_b>>::value));
  VERIFY((is_same<typename take<5, tl>::type, type_list<dummy_a, dummy_a, dummy_b, dummy_b, dummy_c>>::value));
  VERIFY((is_same<typename take<6, tl>::type, type_list<dummy_a, dummy_a, dummy_b, dummy_b, dummy_c, dummy_c>>::value));

  VERIFY((is_same<typename take<0, il>::type, numeric_list<int>>::value));
  VERIFY((is_same<typename take<1, il>::type, numeric_list<int, 0>>::value));
  VERIFY((is_same<typename take<2, il>::type, numeric_list<int, 0, 1>>::value));
  VERIFY((is_same<typename take<3, il>::type, numeric_list<int, 0, 1, 2>>::value));
  VERIFY((is_same<typename take<4, il>::type, numeric_list<int, 0, 1, 2, 3>>::value));
  VERIFY((is_same<typename take<5, il>::type, numeric_list<int, 0, 1, 2, 3, 4>>::value));
  VERIFY((is_same<typename take<6, il>::type, numeric_list<int, 0, 1, 2, 3, 4, 5>>::value));
  
  VERIFY((is_same<typename skip<0, tl>::type, type_list<dummy_a, dummy_a, dummy_b, dummy_b, dummy_c, dummy_c>>::value));
  VERIFY((is_same<typename skip<1, tl>::type, type_list<dummy_a, dummy_b, dummy_b, dummy_c, dummy_c>>::value));
  VERIFY((is_same<typename skip<2, tl>::type, type_list<dummy_b, dummy_b, dummy_c, dummy_c>>::value));
  VERIFY((is_same<typename skip<3, tl>::type, type_list<dummy_b, dummy_c, dummy_c>>::value));
  VERIFY((is_same<typename skip<4, tl>::type, type_list<dummy_c, dummy_c>>::value));
  VERIFY((is_same<typename skip<5, tl>::type, type_list<dummy_c>>::value));
  VERIFY((is_same<typename skip<6, tl>::type, type_list<>>::value));

  VERIFY((is_same<typename skip<0, il>::type, numeric_list<int, 0, 1, 2, 3, 4, 5>>::value));
  VERIFY((is_same<typename skip<1, il>::type, numeric_list<int, 1, 2, 3, 4, 5>>::value));
  VERIFY((is_same<typename skip<2, il>::type, numeric_list<int, 2, 3, 4, 5>>::value));
  VERIFY((is_same<typename skip<3, il>::type, numeric_list<int, 3, 4, 5>>::value));
  VERIFY((is_same<typename skip<4, il>::type, numeric_list<int, 4, 5>>::value));
  VERIFY((is_same<typename skip<5, il>::type, numeric_list<int, 5>>::value));
  VERIFY((is_same<typename skip<6, il>::type, numeric_list<int>>::value));

  VERIFY((is_same<typename slice<0, 3, tl>::type, typename take<3, tl>::type>::value));
  VERIFY((is_same<typename slice<0, 3, il>::type, typename take<3, il>::type>::value));
  VERIFY((is_same<typename slice<1, 3, tl>::type, type_list<dummy_a, dummy_b, dummy_b>>::value));
  VERIFY((is_same<typename slice<1, 3, il>::type, numeric_list<int, 1, 2, 3>>::value));
}

static void test_get()
{
  typedef type_list<dummy_a, dummy_a, dummy_b, dummy_b, dummy_c, dummy_c> tl;
  typedef numeric_list<int, 4, 8, 15, 16, 23, 42> il;

  VERIFY((is_same<typename get<0, tl>::type, dummy_a>::value));
  VERIFY((is_same<typename get<1, tl>::type, dummy_a>::value));
  VERIFY((is_same<typename get<2, tl>::type, dummy_b>::value));
  VERIFY((is_same<typename get<3, tl>::type, dummy_b>::value));
  VERIFY((is_same<typename get<4, tl>::type, dummy_c>::value));
  VERIFY((is_same<typename get<5, tl>::type, dummy_c>::value));

  VERIFY_IS_EQUAL(((int)get<0, il>::value), 4);
  VERIFY_IS_EQUAL(((int)get<1, il>::value), 8);
  VERIFY_IS_EQUAL(((int)get<2, il>::value), 15);
  VERIFY_IS_EQUAL(((int)get<3, il>::value), 16);
  VERIFY_IS_EQUAL(((int)get<4, il>::value), 23);
  VERIFY_IS_EQUAL(((int)get<5, il>::value), 42);
}

static void test_id_helper(dummy_a a, dummy_a b, dummy_a c)
{
  (void)a;
  (void)b;
  (void)c;
}

template<int... ii>
static void test_id_numeric()
{
  test_id_helper(typename id_numeric<int, ii, dummy_a>::type()...);
}

template<typename... tt>
static void test_id_type()
{
  test_id_helper(typename id_type<tt, dummy_a>::type()...);
}

static void test_id()
{
  // don't call VERIFY here, just assume it works if it compiles
  // (otherwise it will complain that it can't find the function)
  test_id_numeric<1, 4, 6>();
  test_id_type<dummy_a, dummy_b, dummy_c>();
}

static void test_is_same_gf()
{
  VERIFY((!is_same_gf<dummy_a, dummy_b>::value));
  VERIFY((!!is_same_gf<dummy_a, dummy_a>::value));
  VERIFY_IS_EQUAL((!!is_same_gf<dummy_a, dummy_b>::global_flags), false);
  VERIFY_IS_EQUAL((!!is_same_gf<dummy_a, dummy_a>::global_flags), false);
}

static void test_apply_op()
{
  typedef type_list<dummy_a, dummy_b, dummy_c> tl;
  VERIFY((!!is_same<typename apply_op_from_left<dummy_op, dummy_a, tl>::type, type_list<dummy_e, dummy_c, dummy_d>>::value));
  VERIFY((!!is_same<typename apply_op_from_right<dummy_op, dummy_a, tl>::type, type_list<dummy_e, dummy_d, dummy_b>>::value));
}

static void test_contained_in_list()
{
  typedef type_list<dummy_a, dummy_b, dummy_c> tl;

  VERIFY((!!contained_in_list<is_same, dummy_a, tl>::value));
  VERIFY((!!contained_in_list<is_same, dummy_b, tl>::value));
  VERIFY((!!contained_in_list<is_same, dummy_c, tl>::value));
  VERIFY((!contained_in_list<is_same, dummy_d, tl>::value));
  VERIFY((!contained_in_list<is_same, dummy_e, tl>::value));

  VERIFY((!!contained_in_list_gf<dummy_test, dummy_a, tl>::value));
  VERIFY((!!contained_in_list_gf<dummy_test, dummy_b, tl>::value));
  VERIFY((!!contained_in_list_gf<dummy_test, dummy_c, tl>::value));
  VERIFY((!contained_in_list_gf<dummy_test, dummy_d, tl>::value));
  VERIFY((!contained_in_list_gf<dummy_test, dummy_e, tl>::value));

  VERIFY_IS_EQUAL(((int)contained_in_list_gf<dummy_test, dummy_a, tl>::global_flags), 1);
  VERIFY_IS_EQUAL(((int)contained_in_list_gf<dummy_test, dummy_b, tl>::global_flags), 2);
  VERIFY_IS_EQUAL(((int)contained_in_list_gf<dummy_test, dummy_c, tl>::global_flags), 4);
  VERIFY_IS_EQUAL(((int)contained_in_list_gf<dummy_test, dummy_d, tl>::global_flags), 0);
  VERIFY_IS_EQUAL(((int)contained_in_list_gf<dummy_test, dummy_e, tl>::global_flags), 0);
}

static void test_arg_reductions()
{
  VERIFY_IS_EQUAL(arg_sum(1,2,3,4), 10);
  VERIFY_IS_EQUAL(arg_prod(1,2,3,4), 24);
  VERIFY_IS_APPROX(arg_sum(0.5, 2, 5), 7.5);
  VERIFY_IS_APPROX(arg_prod(0.5, 2, 5), 5.0);
}

static void test_array_reverse_and_reduce()
{
  array<int, 6> a{{4, 8, 15, 16, 23, 42}};
  array<int, 6> b{{42, 23, 16, 15, 8, 4}};

  // there is no operator<< for std::array, so VERIFY_IS_EQUAL will
  // not compile
  VERIFY((array_reverse(a) == b));
  VERIFY((array_reverse(b) == a));
  VERIFY_IS_EQUAL((array_sum(a)), 108);
  VERIFY_IS_EQUAL((array_sum(b)), 108);
  VERIFY_IS_EQUAL((array_prod(a)), 7418880);
  VERIFY_IS_EQUAL((array_prod(b)), 7418880);
}

static void test_array_zip_and_apply()
{
  array<int, 6> a{{4, 8, 15, 16, 23, 42}};
  array<int, 6> b{{0, 1, 2, 3, 4, 5}};
  array<int, 6> c{{4, 9, 17, 19, 27, 47}};
  array<int, 6> d{{0, 8, 30, 48, 92, 210}};
  array<int, 6> e{{0, 2, 4, 6, 8, 10}};

  VERIFY((array_zip<sum_op>(a, b) == c));
  VERIFY((array_zip<product_op>(a, b) == d));
  VERIFY((array_apply<times2_op>(b) == e));
  VERIFY_IS_EQUAL((array_apply_and_reduce<sum_op, times2_op>(a)), 216);
  VERIFY_IS_EQUAL((array_apply_and_reduce<sum_op, times2_op>(b)), 30);
  VERIFY_IS_EQUAL((array_zip_and_reduce<product_op, sum_op>(a, b)), 14755932);
  VERIFY_IS_EQUAL((array_zip_and_reduce<sum_op, product_op>(a, b)), 388);
}

static void test_array_misc()
{
  array<int, 3> a3{{1, 1, 1}};
  array<int, 6> a6{{2, 2, 2, 2, 2, 2}};
  VERIFY((repeat<3, int>(1) == a3));
  VERIFY((repeat<6, int>(2) == a6));

  int data[5] = { 0, 1, 2, 3, 4 };
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 0>(data).c), 0);
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 1>(data).c), 1);
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 2>(data).c), 2);
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 3>(data).c), 3);
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 4>(data).c), 4);
  VERIFY_IS_EQUAL((instantiate_by_c_array<dummy_inst, int, 5>(data).c), 5);
}

EIGEN_DECLARE_TEST(cxx11_meta)
{
  CALL_SUBTEST(test_gen_numeric_list());
  CALL_SUBTEST(test_concat());
  CALL_SUBTEST(test_slice());
  CALL_SUBTEST(test_get());
  CALL_SUBTEST(test_id());
  CALL_SUBTEST(test_is_same_gf());
  CALL_SUBTEST(test_apply_op());
  CALL_SUBTEST(test_contained_in_list());
  CALL_SUBTEST(test_arg_reductions());
  CALL_SUBTEST(test_array_reverse_and_reduce());
  CALL_SUBTEST(test_array_zip_and_apply());
  CALL_SUBTEST(test_array_misc());
}