Eigen/src/Core/util/StaticAssert.h - eigen - Git at Google

 // This file is part of Eigen, a lightweight C++ template library
 // for linear algebra.
 //
 // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
 // Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
 //
 // 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/.

 #ifndef EIGEN_STATIC_ASSERT_H
 #define EIGEN_STATIC_ASSERT_H

 /* Some notes on Eigen's static assertion mechanism:
  *
  *  - in EIGEN_STATIC_ASSERT(CONDITION,MSG) the parameter CONDITION must be a compile time boolean
  *    expression, and MSG an enum listed in struct internal::static_assertion<true>
  *
  *  - define EIGEN_NO_STATIC_ASSERT to disable them (and save compilation time)
  *    in that case, the static assertion is converted to the following runtime assert:
  *      eigen_assert(CONDITION && "MSG")
  *
  *  - currently EIGEN_STATIC_ASSERT can only be used in function scope
  *
  */

 #ifndef EIGEN_STATIC_ASSERT
 #ifndef EIGEN_NO_STATIC_ASSERT

   #if EIGEN_MAX_CPP_VER>=11 && (__has_feature(cxx_static_assert) || (EIGEN_COMP_CXXVER >= 11) || (EIGEN_COMP_MSVC >= 1600))

     // if native static_assert is enabled, let's use it
     #define EIGEN_STATIC_ASSERT(X,MSG) static_assert(X,#MSG);

   #else // not CXX0X

     namespace Eigen {

     namespace internal {

     template<bool condition>
     struct static_assertion {};

     template<>
     struct static_assertion<true>
     {
       enum {
         YOU_TRIED_CALLING_A_VECTOR_METHOD_ON_A_MATRIX=1,
         YOU_MIXED_VECTORS_OF_DIFFERENT_SIZES=1,
         YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES=1,
         THIS_METHOD_IS_ONLY_FOR_VECTORS_OF_A_SPECIFIC_SIZE=1,
         THIS_METHOD_IS_ONLY_FOR_MATRICES_OF_A_SPECIFIC_SIZE=1,
         THIS_METHOD_IS_ONLY_FOR_OBJECTS_OF_A_SPECIFIC_SIZE=1,
         OUT_OF_RANGE_ACCESS=1,
         YOU_MADE_A_PROGRAMMING_MISTAKE=1,
         EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT=1,
         EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE=1,
         YOU_CALLED_A_FIXED_SIZE_METHOD_ON_A_DYNAMIC_SIZE_MATRIX_OR_VECTOR=1,
         YOU_CALLED_A_DYNAMIC_SIZE_METHOD_ON_A_FIXED_SIZE_MATRIX_OR_VECTOR=1,
         UNALIGNED_LOAD_AND_STORE_OPERATIONS_UNIMPLEMENTED_ON_ALTIVEC=1,
         THIS_FUNCTION_IS_NOT_FOR_INTEGER_NUMERIC_TYPES=1,
         FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED=1,
         NUMERIC_TYPE_MUST_BE_REAL=1,
         COEFFICIENT_WRITE_ACCESS_TO_SELFADJOINT_NOT_SUPPORTED=1,
         WRITING_TO_TRIANGULAR_PART_WITH_UNIT_DIAGONAL_IS_NOT_SUPPORTED=1,
         THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE=1,
         INVALID_MATRIX_PRODUCT=1,
         INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS=1,
         INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION=1,
         YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY=1,
         THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES=1,
         THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES=1,
         INVALID_MATRIX_TEMPLATE_PARAMETERS=1,
         INVALID_MATRIXBASE_TEMPLATE_PARAMETERS=1,
         BOTH_MATRICES_MUST_HAVE_THE_SAME_STORAGE_ORDER=1,
         THIS_METHOD_IS_ONLY_FOR_DIAGONAL_MATRIX=1,
         THE_MATRIX_OR_EXPRESSION_THAT_YOU_PASSED_DOES_NOT_HAVE_THE_EXPECTED_TYPE=1,
         THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_WITH_DIRECT_MEMORY_ACCESS_SUCH_AS_MAP_OR_PLAIN_MATRICES=1,
         YOU_ALREADY_SPECIFIED_THIS_STRIDE=1,
         INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION=1,
         THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD=1,
         PACKET_ACCESS_REQUIRES_TO_HAVE_INNER_STRIDE_FIXED_TO_1=1,
         THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS=1,
         YOU_CANNOT_MIX_ARRAYS_AND_MATRICES=1,
         YOU_PERFORMED_AN_INVALID_TRANSFORMATION_CONVERSION=1,
         THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY=1,
         YOU_ARE_TRYING_TO_USE_AN_INDEX_BASED_ACCESSOR_ON_AN_EXPRESSION_THAT_DOES_NOT_SUPPORT_THAT=1,
         THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS=1,
         THIS_METHOD_IS_ONLY_FOR_INNER_OR_LAZY_PRODUCTS=1,
         THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL=1,
         THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES=1,
         YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED=1,
         YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED=1,
         THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE=1,
         THE_STORAGE_ORDER_OF_BOTH_SIDES_MUST_MATCH=1,
         OBJECT_ALLOCATED_ON_STACK_IS_TOO_BIG=1,
         IMPLICIT_CONVERSION_TO_SCALAR_IS_FOR_INNER_PRODUCT_ONLY=1,
         STORAGE_LAYOUT_DOES_NOT_MATCH=1,
         EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT__INVALID_COST_VALUE=1,
         THIS_COEFFICIENT_ACCESSOR_TAKING_ONE_ACCESS_IS_ONLY_FOR_EXPRESSIONS_ALLOWING_LINEAR_ACCESS=1,
         MATRIX_FREE_CONJUGATE_GRADIENT_IS_COMPATIBLE_WITH_UPPER_UNION_LOWER_MODE_ONLY=1,
         THIS_TYPE_IS_NOT_SUPPORTED=1,
         STORAGE_KIND_MUST_MATCH=1,
         STORAGE_INDEX_MUST_MATCH=1,
         CHOLMOD_SUPPORTS_DOUBLE_PRECISION_ONLY=1,
         SELFADJOINTVIEW_ACCEPTS_UPPER_AND_LOWER_MODE_ONLY=1,
         INVALID_TEMPLATE_PARAMETER=1,
         GPU_TENSOR_CONTRACTION_DOES_NOT_SUPPORT_OUTPUT_KERNELS=1,
         THE_ARRAY_SIZE_SHOULD_EQUAL_WITH_PACKET_SIZE=1
       };
     };

     } // end namespace internal

     } // end namespace Eigen

     // Specialized implementation for MSVC to avoid "conditional
     // expression is constant" warnings.  This implementation doesn't
     // appear to work under GCC, hence the multiple implementations.
     #if EIGEN_COMP_MSVC

       #define EIGEN_STATIC_ASSERT(CONDITION,MSG) \
         {Eigen::internal::static_assertion<bool(CONDITION)>::MSG;}

     #else
       // In some cases clang interprets bool(CONDITION) as function declaration
       #define EIGEN_STATIC_ASSERT(CONDITION,MSG) \
         if (Eigen::internal::static_assertion<static_cast<bool>(CONDITION)>::MSG) {}

     #endif

   #endif // not CXX0X

 #else // EIGEN_NO_STATIC_ASSERT

   #define EIGEN_STATIC_ASSERT(CONDITION,MSG) eigen_assert((CONDITION) && #MSG);

 #endif // EIGEN_NO_STATIC_ASSERT
 #endif // EIGEN_STATIC_ASSERT

 // static assertion failing if the type \a TYPE is not a vector type
 #define EIGEN_STATIC_ASSERT_VECTOR_ONLY(TYPE) \
   EIGEN_STATIC_ASSERT(TYPE::IsVectorAtCompileTime, \
                       YOU_TRIED_CALLING_A_VECTOR_METHOD_ON_A_MATRIX)

 // static assertion failing if the type \a TYPE is not fixed-size
 #define EIGEN_STATIC_ASSERT_FIXED_SIZE(TYPE) \
   EIGEN_STATIC_ASSERT(TYPE::SizeAtCompileTime!=Eigen::Dynamic, \
                       YOU_CALLED_A_FIXED_SIZE_METHOD_ON_A_DYNAMIC_SIZE_MATRIX_OR_VECTOR)

 // static assertion failing if the type \a TYPE is not dynamic-size
 #define EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(TYPE) \
   EIGEN_STATIC_ASSERT(TYPE::SizeAtCompileTime==Eigen::Dynamic, \
                       YOU_CALLED_A_DYNAMIC_SIZE_METHOD_ON_A_FIXED_SIZE_MATRIX_OR_VECTOR)

 // static assertion failing if the type \a TYPE is not a vector type of the given size
 #define EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(TYPE, SIZE) \
   EIGEN_STATIC_ASSERT(TYPE::IsVectorAtCompileTime && TYPE::SizeAtCompileTime==SIZE, \
                       THIS_METHOD_IS_ONLY_FOR_VECTORS_OF_A_SPECIFIC_SIZE)

 // static assertion failing if the type \a TYPE is not a vector type of the given size
 #define EIGEN_STATIC_ASSERT_MATRIX_SPECIFIC_SIZE(TYPE, ROWS, COLS) \
   EIGEN_STATIC_ASSERT(TYPE::RowsAtCompileTime==ROWS && TYPE::ColsAtCompileTime==COLS, \
                       THIS_METHOD_IS_ONLY_FOR_MATRICES_OF_A_SPECIFIC_SIZE)

 // static assertion failing if the two vector expression types are not compatible (same fixed-size or dynamic size)
 #define EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(TYPE0,TYPE1) \
   EIGEN_STATIC_ASSERT( \
       (int(TYPE0::SizeAtCompileTime)==Eigen::Dynamic \
     || int(TYPE1::SizeAtCompileTime)==Eigen::Dynamic \
     || int(TYPE0::SizeAtCompileTime)==int(TYPE1::SizeAtCompileTime)),\
     YOU_MIXED_VECTORS_OF_DIFFERENT_SIZES)

 #define EIGEN_PREDICATE_SAME_MATRIX_SIZE(TYPE0,TYPE1) \
      ( \
         (int(Eigen::internal::size_of_xpr_at_compile_time<TYPE0>::ret)==0 && int(Eigen::internal::size_of_xpr_at_compile_time<TYPE1>::ret)==0) \
     || (\
           (int(TYPE0::RowsAtCompileTime)==Eigen::Dynamic \
         || int(TYPE1::RowsAtCompileTime)==Eigen::Dynamic \
         || int(TYPE0::RowsAtCompileTime)==int(TYPE1::RowsAtCompileTime)) \
       &&  (int(TYPE0::ColsAtCompileTime)==Eigen::Dynamic \
         || int(TYPE1::ColsAtCompileTime)==Eigen::Dynamic \
         || int(TYPE0::ColsAtCompileTime)==int(TYPE1::ColsAtCompileTime))\
        ) \
      )

 #define EIGEN_STATIC_ASSERT_NON_INTEGER(TYPE) \
     EIGEN_STATIC_ASSERT(!Eigen::NumTraits<TYPE>::IsInteger, THIS_FUNCTION_IS_NOT_FOR_INTEGER_NUMERIC_TYPES)


 // static assertion failing if it is guaranteed at compile-time that the two matrix expression types have different sizes
 #define EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(TYPE0,TYPE1) \
   EIGEN_STATIC_ASSERT( \
      EIGEN_PREDICATE_SAME_MATRIX_SIZE(TYPE0,TYPE1),\
     YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES)

 #define EIGEN_STATIC_ASSERT_SIZE_1x1(TYPE) \
       EIGEN_STATIC_ASSERT((TYPE::RowsAtCompileTime == 1 || TYPE::RowsAtCompileTime == Eigen::Dynamic) && \
                           (TYPE::ColsAtCompileTime == 1 || TYPE::ColsAtCompileTime == Eigen::Dynamic), \
                           THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS)

 #define EIGEN_STATIC_ASSERT_LVALUE(Derived) \
       EIGEN_STATIC_ASSERT(Eigen::internal::is_lvalue<Derived>::value, \
                           THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY)

 #define EIGEN_STATIC_ASSERT_ARRAYXPR(Derived) \
       EIGEN_STATIC_ASSERT((Eigen::internal::is_same<typename Eigen::internal::traits<Derived>::XprKind, ArrayXpr>::value), \
                           THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES)

 #define EIGEN_STATIC_ASSERT_SAME_XPR_KIND(Derived1, Derived2) \
       EIGEN_STATIC_ASSERT((Eigen::internal::is_same<typename Eigen::internal::traits<Derived1>::XprKind, \
                                              typename Eigen::internal::traits<Derived2>::XprKind \
                                             >::value), \
                           YOU_CANNOT_MIX_ARRAYS_AND_MATRICES)

 // Check that a cost value is positive, and that is stay within a reasonable range
 // TODO this check could be enabled for internal debugging only
 #define EIGEN_INTERNAL_CHECK_COST_VALUE(C) \
       EIGEN_STATIC_ASSERT((C)>=0 && (C)<=HugeCost*HugeCost, EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT__INVALID_COST_VALUE);

 #endif // EIGEN_STATIC_ASSERT_H
	// This file is part of Eigen, a lightweight C++ template library
	// for linear algebra.
	//
	// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
	// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
	//
	// 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/.

	#ifndef EIGEN_STATIC_ASSERT_H
	#define EIGEN_STATIC_ASSERT_H

	/* Some notes on Eigen's static assertion mechanism:
	*
	* - in EIGEN_STATIC_ASSERT(CONDITION,MSG) the parameter CONDITION must be a compile time boolean
	* expression, and MSG an enum listed in struct internal::static_assertion<true>
	*
	* - define EIGEN_NO_STATIC_ASSERT to disable them (and save compilation time)
	* in that case, the static assertion is converted to the following runtime assert:
	* eigen_assert(CONDITION && "MSG")
	*
	* - currently EIGEN_STATIC_ASSERT can only be used in function scope
	*
	*/

	#ifndef EIGEN_STATIC_ASSERT
	#ifndef EIGEN_NO_STATIC_ASSERT

	#if EIGEN_MAX_CPP_VER>=11 && (__has_feature(cxx_static_assert) \|\| (EIGEN_COMP_CXXVER >= 11) \|\| (EIGEN_COMP_MSVC >= 1600))

	// if native static_assert is enabled, let's use it
	#define EIGEN_STATIC_ASSERT(X,MSG) static_assert(X,#MSG);

	#else // not CXX0X

	namespace Eigen {

	namespace internal {

	template<bool condition>
	struct static_assertion {};

	template<>
	struct static_assertion<true>
	{
	enum {
	YOU_TRIED_CALLING_A_VECTOR_METHOD_ON_A_MATRIX=1,
	YOU_MIXED_VECTORS_OF_DIFFERENT_SIZES=1,
	YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES=1,
	THIS_METHOD_IS_ONLY_FOR_VECTORS_OF_A_SPECIFIC_SIZE=1,
	THIS_METHOD_IS_ONLY_FOR_MATRICES_OF_A_SPECIFIC_SIZE=1,
	THIS_METHOD_IS_ONLY_FOR_OBJECTS_OF_A_SPECIFIC_SIZE=1,
	OUT_OF_RANGE_ACCESS=1,
	YOU_MADE_A_PROGRAMMING_MISTAKE=1,
	EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT=1,
	EIGEN_INTERNAL_COMPILATION_ERROR_OR_YOU_MADE_A_PROGRAMMING_MISTAKE=1,
	YOU_CALLED_A_FIXED_SIZE_METHOD_ON_A_DYNAMIC_SIZE_MATRIX_OR_VECTOR=1,
	YOU_CALLED_A_DYNAMIC_SIZE_METHOD_ON_A_FIXED_SIZE_MATRIX_OR_VECTOR=1,
	UNALIGNED_LOAD_AND_STORE_OPERATIONS_UNIMPLEMENTED_ON_ALTIVEC=1,
	THIS_FUNCTION_IS_NOT_FOR_INTEGER_NUMERIC_TYPES=1,
	FLOATING_POINT_ARGUMENT_PASSED__INTEGER_WAS_EXPECTED=1,
	NUMERIC_TYPE_MUST_BE_REAL=1,
	COEFFICIENT_WRITE_ACCESS_TO_SELFADJOINT_NOT_SUPPORTED=1,
	WRITING_TO_TRIANGULAR_PART_WITH_UNIT_DIAGONAL_IS_NOT_SUPPORTED=1,
	THIS_METHOD_IS_ONLY_FOR_FIXED_SIZE=1,
	INVALID_MATRIX_PRODUCT=1,
	INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS=1,
	INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION=1,
	YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY=1,
	THIS_METHOD_IS_ONLY_FOR_COLUMN_MAJOR_MATRICES=1,
	THIS_METHOD_IS_ONLY_FOR_ROW_MAJOR_MATRICES=1,
	INVALID_MATRIX_TEMPLATE_PARAMETERS=1,
	INVALID_MATRIXBASE_TEMPLATE_PARAMETERS=1,
	BOTH_MATRICES_MUST_HAVE_THE_SAME_STORAGE_ORDER=1,
	THIS_METHOD_IS_ONLY_FOR_DIAGONAL_MATRIX=1,
	THE_MATRIX_OR_EXPRESSION_THAT_YOU_PASSED_DOES_NOT_HAVE_THE_EXPECTED_TYPE=1,
	THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_WITH_DIRECT_MEMORY_ACCESS_SUCH_AS_MAP_OR_PLAIN_MATRICES=1,
	YOU_ALREADY_SPECIFIED_THIS_STRIDE=1,
	INVALID_STORAGE_ORDER_FOR_THIS_VECTOR_EXPRESSION=1,
	THE_BRACKET_OPERATOR_IS_ONLY_FOR_VECTORS__USE_THE_PARENTHESIS_OPERATOR_INSTEAD=1,
	PACKET_ACCESS_REQUIRES_TO_HAVE_INNER_STRIDE_FIXED_TO_1=1,
	THIS_METHOD_IS_ONLY_FOR_SPECIFIC_TRANSFORMATIONS=1,
	YOU_CANNOT_MIX_ARRAYS_AND_MATRICES=1,
	YOU_PERFORMED_AN_INVALID_TRANSFORMATION_CONVERSION=1,
	THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY=1,
	YOU_ARE_TRYING_TO_USE_AN_INDEX_BASED_ACCESSOR_ON_AN_EXPRESSION_THAT_DOES_NOT_SUPPORT_THAT=1,
	THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS=1,
	THIS_METHOD_IS_ONLY_FOR_INNER_OR_LAZY_PRODUCTS=1,
	THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL=1,
	THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES=1,
	YOU_PASSED_A_ROW_VECTOR_BUT_A_COLUMN_VECTOR_WAS_EXPECTED=1,
	YOU_PASSED_A_COLUMN_VECTOR_BUT_A_ROW_VECTOR_WAS_EXPECTED=1,
	THE_INDEX_TYPE_MUST_BE_A_SIGNED_TYPE=1,
	THE_STORAGE_ORDER_OF_BOTH_SIDES_MUST_MATCH=1,
	OBJECT_ALLOCATED_ON_STACK_IS_TOO_BIG=1,
	IMPLICIT_CONVERSION_TO_SCALAR_IS_FOR_INNER_PRODUCT_ONLY=1,
	STORAGE_LAYOUT_DOES_NOT_MATCH=1,
	EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT__INVALID_COST_VALUE=1,
	THIS_COEFFICIENT_ACCESSOR_TAKING_ONE_ACCESS_IS_ONLY_FOR_EXPRESSIONS_ALLOWING_LINEAR_ACCESS=1,
	MATRIX_FREE_CONJUGATE_GRADIENT_IS_COMPATIBLE_WITH_UPPER_UNION_LOWER_MODE_ONLY=1,
	THIS_TYPE_IS_NOT_SUPPORTED=1,
	STORAGE_KIND_MUST_MATCH=1,
	STORAGE_INDEX_MUST_MATCH=1,
	CHOLMOD_SUPPORTS_DOUBLE_PRECISION_ONLY=1,
	SELFADJOINTVIEW_ACCEPTS_UPPER_AND_LOWER_MODE_ONLY=1,
	INVALID_TEMPLATE_PARAMETER=1,
	GPU_TENSOR_CONTRACTION_DOES_NOT_SUPPORT_OUTPUT_KERNELS=1,
	THE_ARRAY_SIZE_SHOULD_EQUAL_WITH_PACKET_SIZE=1
	};
	};

	} // end namespace internal

	} // end namespace Eigen

	// Specialized implementation for MSVC to avoid "conditional
	// expression is constant" warnings. This implementation doesn't
	// appear to work under GCC, hence the multiple implementations.
	#if EIGEN_COMP_MSVC

	#define EIGEN_STATIC_ASSERT(CONDITION,MSG) \
	{Eigen::internal::static_assertion<bool(CONDITION)>::MSG;}

	#else
	// In some cases clang interprets bool(CONDITION) as function declaration
	#define EIGEN_STATIC_ASSERT(CONDITION,MSG) \
	if (Eigen::internal::static_assertion<static_cast<bool>(CONDITION)>::MSG) {}

	#endif

	#endif // not CXX0X

	#else // EIGEN_NO_STATIC_ASSERT

	#define EIGEN_STATIC_ASSERT(CONDITION,MSG) eigen_assert((CONDITION) && #MSG);

	#endif // EIGEN_NO_STATIC_ASSERT
	#endif // EIGEN_STATIC_ASSERT

	// static assertion failing if the type \a TYPE is not a vector type
	#define EIGEN_STATIC_ASSERT_VECTOR_ONLY(TYPE) \
	EIGEN_STATIC_ASSERT(TYPE::IsVectorAtCompileTime, \
	YOU_TRIED_CALLING_A_VECTOR_METHOD_ON_A_MATRIX)

	// static assertion failing if the type \a TYPE is not fixed-size
	#define EIGEN_STATIC_ASSERT_FIXED_SIZE(TYPE) \
	EIGEN_STATIC_ASSERT(TYPE::SizeAtCompileTime!=Eigen::Dynamic, \
	YOU_CALLED_A_FIXED_SIZE_METHOD_ON_A_DYNAMIC_SIZE_MATRIX_OR_VECTOR)

	// static assertion failing if the type \a TYPE is not dynamic-size
	#define EIGEN_STATIC_ASSERT_DYNAMIC_SIZE(TYPE) \
	EIGEN_STATIC_ASSERT(TYPE::SizeAtCompileTime==Eigen::Dynamic, \
	YOU_CALLED_A_DYNAMIC_SIZE_METHOD_ON_A_FIXED_SIZE_MATRIX_OR_VECTOR)

	// static assertion failing if the type \a TYPE is not a vector type of the given size
	#define EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(TYPE, SIZE) \
	EIGEN_STATIC_ASSERT(TYPE::IsVectorAtCompileTime && TYPE::SizeAtCompileTime==SIZE, \
	THIS_METHOD_IS_ONLY_FOR_VECTORS_OF_A_SPECIFIC_SIZE)

	// static assertion failing if the type \a TYPE is not a vector type of the given size
	#define EIGEN_STATIC_ASSERT_MATRIX_SPECIFIC_SIZE(TYPE, ROWS, COLS) \
	EIGEN_STATIC_ASSERT(TYPE::RowsAtCompileTime==ROWS && TYPE::ColsAtCompileTime==COLS, \
	THIS_METHOD_IS_ONLY_FOR_MATRICES_OF_A_SPECIFIC_SIZE)

	// static assertion failing if the two vector expression types are not compatible (same fixed-size or dynamic size)
	#define EIGEN_STATIC_ASSERT_SAME_VECTOR_SIZE(TYPE0,TYPE1) \
	EIGEN_STATIC_ASSERT( \
	(int(TYPE0::SizeAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE1::SizeAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE0::SizeAtCompileTime)==int(TYPE1::SizeAtCompileTime)),\
	YOU_MIXED_VECTORS_OF_DIFFERENT_SIZES)

	#define EIGEN_PREDICATE_SAME_MATRIX_SIZE(TYPE0,TYPE1) \
	( \
	(int(Eigen::internal::size_of_xpr_at_compile_time<TYPE0>::ret)==0 && int(Eigen::internal::size_of_xpr_at_compile_time<TYPE1>::ret)==0) \
	\|\| (\
	(int(TYPE0::RowsAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE1::RowsAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE0::RowsAtCompileTime)==int(TYPE1::RowsAtCompileTime)) \
	&& (int(TYPE0::ColsAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE1::ColsAtCompileTime)==Eigen::Dynamic \
	\|\| int(TYPE0::ColsAtCompileTime)==int(TYPE1::ColsAtCompileTime))\
	) \
	)

	#define EIGEN_STATIC_ASSERT_NON_INTEGER(TYPE) \
	EIGEN_STATIC_ASSERT(!Eigen::NumTraits<TYPE>::IsInteger, THIS_FUNCTION_IS_NOT_FOR_INTEGER_NUMERIC_TYPES)


	// static assertion failing if it is guaranteed at compile-time that the two matrix expression types have different sizes
	#define EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(TYPE0,TYPE1) \
	EIGEN_STATIC_ASSERT( \
	EIGEN_PREDICATE_SAME_MATRIX_SIZE(TYPE0,TYPE1),\
	YOU_MIXED_MATRICES_OF_DIFFERENT_SIZES)

	#define EIGEN_STATIC_ASSERT_SIZE_1x1(TYPE) \
	EIGEN_STATIC_ASSERT((TYPE::RowsAtCompileTime == 1 \|\| TYPE::RowsAtCompileTime == Eigen::Dynamic) && \
	(TYPE::ColsAtCompileTime == 1 \|\| TYPE::ColsAtCompileTime == Eigen::Dynamic), \
	THIS_METHOD_IS_ONLY_FOR_1x1_EXPRESSIONS)

	#define EIGEN_STATIC_ASSERT_LVALUE(Derived) \
	EIGEN_STATIC_ASSERT(Eigen::internal::is_lvalue<Derived>::value, \
	THIS_EXPRESSION_IS_NOT_A_LVALUE__IT_IS_READ_ONLY)

	#define EIGEN_STATIC_ASSERT_ARRAYXPR(Derived) \
	EIGEN_STATIC_ASSERT((Eigen::internal::is_same<typename Eigen::internal::traits<Derived>::XprKind, ArrayXpr>::value), \
	THIS_METHOD_IS_ONLY_FOR_ARRAYS_NOT_MATRICES)

	#define EIGEN_STATIC_ASSERT_SAME_XPR_KIND(Derived1, Derived2) \
	EIGEN_STATIC_ASSERT((Eigen::internal::is_same<typename Eigen::internal::traits<Derived1>::XprKind, \
	typename Eigen::internal::traits<Derived2>::XprKind \
	>::value), \
	YOU_CANNOT_MIX_ARRAYS_AND_MATRICES)

	// Check that a cost value is positive, and that is stay within a reasonable range
	// TODO this check could be enabled for internal debugging only
	#define EIGEN_INTERNAL_CHECK_COST_VALUE(C) \
	EIGEN_STATIC_ASSERT((C)>=0 && (C)<=HugeCost*HugeCost, EIGEN_INTERNAL_ERROR_PLEASE_FILE_A_BUG_REPORT__INVALID_COST_VALUE);

	#endif // EIGEN_STATIC_ASSERT_H