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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008-2010 Gael Guennebaud <g.gael@free.fr>
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// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
# ifndef EIGEN_MACROS_H
# define EIGEN_MACROS_H
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# define EIGEN_WORLD_VERSION 2
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# define EIGEN_MAJOR_VERSION 91
# define EIGEN_MINOR_VERSION 0
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# define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
( EIGEN_MAJOR_VERSION > y | | ( EIGEN_MAJOR_VERSION > = y & & \
EIGEN_MINOR_VERSION > = z ) ) ) )
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# ifdef __GNUC__
# define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__>=x && __GNUC_MINOR__>=y) || __GNUC__>x)
# else
# define EIGEN_GNUC_AT_LEAST(x,y) 0
# endif
# if defined(__GNUC__) && (__GNUC__ <= 3)
# define EIGEN_GCC3_OR_OLDER 1
# else
# define EIGEN_GCC3_OR_OLDER 0
# endif
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// 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable
// 16 byte alignment on all platforms where vectorization might be enabled. In theory we could always
// enable alignment, but it can be a cause of problems on some platforms, so we just disable it in
// certain common platform (compiler+architecture combinations) to avoid these problems.
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// Only static alignment is really problematic (relies on nonstandard compiler extensions that don't
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// work everywhere, for example don't work on GCC/ARM), try to keep heap alignment even
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// when we have to disable static alignment.
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# if defined(__GNUC__) && !(defined(__i386__) || defined(__x86_64__) || defined(__powerpc__) || defined(__ppc__) || defined(__ia64__))
# define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
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# else
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# define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 0
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# endif
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// static alignment is completely disabled with GCC 3, Sun Studio, and QCC/QNX
# if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT \
& & ! EIGEN_GCC3_OR_OLDER \
& & ! defined ( __SUNPRO_CC ) \
& & ! defined ( __QNXNTO__ )
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# define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 1
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# else
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# define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 0
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# endif
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# ifdef EIGEN_DONT_ALIGN
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# ifndef EIGEN_DONT_ALIGN_STATICALLY
# define EIGEN_DONT_ALIGN_STATICALLY
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# endif
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# define EIGEN_ALIGN 0
# else
# define EIGEN_ALIGN 1
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# endif
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// EIGEN_ALIGN_STATICALLY is the true test whether we want to align arrays on the stack or not. It takes into account both the user choice to explicitly disable
// alignment (EIGEN_DONT_ALIGN_STATICALLY) and the architecture config (EIGEN_ARCH_WANTS_STACK_ALIGNMENT). Henceforth, only EIGEN_ALIGN_STATICALLY should be used.
# if EIGEN_ARCH_WANTS_STACK_ALIGNMENT && !defined(EIGEN_DONT_ALIGN_STATICALLY)
# define EIGEN_ALIGN_STATICALLY 1
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# else
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# define EIGEN_ALIGN_STATICALLY 0
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# ifndef EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
# define EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
# endif
# endif
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# ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
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# define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION RowMajor
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# else
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# define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ColMajor
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# endif
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# ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
# define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
# endif
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/** Allows to disable some optimizations which might affect the accuracy of the result.
* Such optimization are enabled by default , and set EIGEN_FAST_MATH to 0 to disable them .
* They currently include :
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* - single precision Cwise : : sin ( ) and Cwise : : cos ( ) when SSE vectorization is enabled .
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*/
# ifndef EIGEN_FAST_MATH
# define EIGEN_FAST_MATH 1
# endif
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# define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
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# ifdef NDEBUG
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# ifndef EIGEN_NO_DEBUG
# define EIGEN_NO_DEBUG
# endif
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# endif
# ifndef ei_assert
# ifdef EIGEN_NO_DEBUG
# define ei_assert(x)
# else
# define ei_assert(x) assert(x)
# endif
# endif
# ifdef EIGEN_INTERNAL_DEBUGGING
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# define ei_internal_assert(x) ei_assert(x)
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# else
# define ei_internal_assert(x)
# endif
# ifdef EIGEN_NO_DEBUG
# define EIGEN_ONLY_USED_FOR_DEBUG(x) (void)x
# else
# define EIGEN_ONLY_USED_FOR_DEBUG(x)
# endif
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// EIGEN_ALWAYS_INLINE_ATTRIB should be use in the declaration of function
// which should be inlined even in debug mode.
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// FIXME with the always_inline attribute,
// gcc 3.4.x reports the following compilation error:
// Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
// : function body not available
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# if EIGEN_GNUC_AT_LEAST(4,0)
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# define EIGEN_ALWAYS_INLINE_ATTRIB __attribute__((always_inline))
# else
# define EIGEN_ALWAYS_INLINE_ATTRIB
# endif
// EIGEN_FORCE_INLINE means "inline as much as possible"
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# if (defined _MSC_VER) || (defined __intel_compiler)
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# define EIGEN_STRONG_INLINE __forceinline
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# else
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# define EIGEN_STRONG_INLINE inline
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# endif
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# if (defined __GNUC__)
# define EIGEN_DONT_INLINE __attribute__((noinline))
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# elif (defined _MSC_VER)
# define EIGEN_DONT_INLINE __declspec(noinline)
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# else
# define EIGEN_DONT_INLINE
# endif
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# if (defined __GNUC__)
# define EIGEN_DEPRECATED __attribute__((deprecated))
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# elif (defined _MSC_VER)
# define EIGEN_DEPRECATED __declspec(deprecated)
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# else
# define EIGEN_DEPRECATED
# endif
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# if (defined __GNUC__)
# define EIGEN_UNUSED __attribute__((unused))
# else
# define EIGEN_UNUSED
# endif
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// Suppresses 'unused variable' warnings.
# define EIGEN_UNUSED_VARIABLE(var) (void)var;
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# if (defined __GNUC__)
# define EIGEN_ASM_COMMENT(X) asm("#"X)
# else
# define EIGEN_ASM_COMMENT(X)
# endif
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/* EIGEN_ALIGN_TO_BOUNDARY(n) forces data to be n-byte aligned. This is used to satisfy SIMD requirements.
* However , we do that EVEN if vectorization ( EIGEN_VECTORIZE ) is disabled ,
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* so that vectorization doesn ' t affect binary compatibility .
*
* If we made alignment depend on whether or not EIGEN_VECTORIZE is defined , it would be impossible to link
* vectorized and non - vectorized code .
*/
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# if !EIGEN_ALIGN_STATICALLY
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# define EIGEN_ALIGN_TO_BOUNDARY(n)
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# elif (defined __GNUC__) || (defined __PGI)
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# define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
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# elif (defined _MSC_VER)
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# define EIGEN_ALIGN_TO_BOUNDARY(n) __declspec(align(n))
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# elif (defined __SUNPRO_CC)
// FIXME not sure about this one:
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# define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
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# else
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# error Please tell me what is the equivalent of __attribute__((aligned(n))) for your compiler
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# endif
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# define EIGEN_ALIGN16 EIGEN_ALIGN_TO_BOUNDARY(16)
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# ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
# define EIGEN_RESTRICT
# endif
# ifndef EIGEN_RESTRICT
# define EIGEN_RESTRICT __restrict
# endif
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# ifndef EIGEN_STACK_ALLOCATION_LIMIT
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# define EIGEN_STACK_ALLOCATION_LIMIT 20000
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# endif
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# ifndef EIGEN_DEFAULT_IO_FORMAT
# define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
# endif
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// just an empty macro !
# define EIGEN_EMPTY
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// concatenate two tokens
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# define EIGEN_CAT2(a,b) a ## b
# define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
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// convert a token to a string
# define EIGEN_MAKESTRING2(a) #a
# define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
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// format used in Eigen's documentation
// needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
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# define EIGEN_DOCS_IO_FORMAT IOFormat(3, 0, " ", "\n", "", "")
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// C++0x features
# if defined(__GXX_EXPERIMENTAL_CXX0X__) || (defined(_MSC_VER) && (_MSC_VER >= 1600))
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# define EIGEN_REF_TO_TEMPORARY const &
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# else
# define EIGEN_REF_TO_TEMPORARY const &
# endif
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# if defined(_MSC_VER) && (!defined(__INTEL_COMPILER))
# define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
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using Base : : operator = ;
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# else
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# define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
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using Base : : operator = ; \
EIGEN_STRONG_INLINE Derived & operator = ( const Derived & other ) \
{ \
Base : : operator = ( other ) ; \
return * this ; \
}
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# endif
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# define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
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EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR ( Derived )
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/**
* Just a side note . Commenting within defines works only by documenting
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* behind the object ( via ' ! < ' ) . Comments cannot be multi - line and thus
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* we have these extra long lines . What is confusing doxygen over here is
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* that we use ' \ ' and basically have a bunch of typedefs with their
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* documentation in a single line .
* */
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# define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
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typedef typename Eigen : : ei_traits < Derived > : : Scalar Scalar ; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
typedef typename Eigen : : NumTraits < Scalar > : : Real RealScalar ; /*!< \brief The underlying numeric type for composed scalar types. \details In cases where Scalar is e.g. std::complex<T>, T were corresponding to RealScalar. */ \
typedef typename Base : : CoeffReturnType CoeffReturnType ; /*!< \brief The return type for coefficient access. \details Depending on whether the object allows direct coefficient access (e.g. for a MatrixXd), this type is either 'const Scalar&' or simply 'Scalar' for objects that do not allow direct coefficient access. */ \
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typedef typename Eigen : : ei_nested < Derived > : : type Nested ; \
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typedef typename Eigen : : ei_traits < Derived > : : StorageKind StorageKind ; \
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typedef typename Eigen : : ei_traits < Derived > : : Index Index ; \
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enum { RowsAtCompileTime = Eigen : : ei_traits < Derived > : : RowsAtCompileTime , \
ColsAtCompileTime = Eigen : : ei_traits < Derived > : : ColsAtCompileTime , \
Flags = Eigen : : ei_traits < Derived > : : Flags , \
CoeffReadCost = Eigen : : ei_traits < Derived > : : CoeffReadCost , \
SizeAtCompileTime = Base : : SizeAtCompileTime , \
MaxSizeAtCompileTime = Base : : MaxSizeAtCompileTime , \
IsVectorAtCompileTime = Base : : IsVectorAtCompileTime } ;
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# define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
typedef typename Eigen : : ei_traits < Derived > : : Scalar Scalar ; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
typedef typename Eigen : : NumTraits < Scalar > : : Real RealScalar ; /*!< \brief The underlying numeric type for composed scalar types. \details In cases where Scalar is e.g. std::complex<T>, T were corresponding to RealScalar. */ \
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typedef typename Base : : PacketScalar PacketScalar ; \
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typedef typename Base : : CoeffReturnType CoeffReturnType ; /*!< \brief The return type for coefficient access. \details Depending on whether the object allows direct coefficient access (e.g. for a MatrixXd), this type is either 'const Scalar&' or simply 'Scalar' for objects that do not allow direct coefficient access. */ \
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typedef typename Eigen : : ei_nested < Derived > : : type Nested ; \
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typedef typename Eigen : : ei_traits < Derived > : : StorageKind StorageKind ; \
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typedef typename Eigen : : ei_traits < Derived > : : Index Index ; \
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enum { RowsAtCompileTime = Eigen : : ei_traits < Derived > : : RowsAtCompileTime , \
ColsAtCompileTime = Eigen : : ei_traits < Derived > : : ColsAtCompileTime , \
MaxRowsAtCompileTime = Eigen : : ei_traits < Derived > : : MaxRowsAtCompileTime , \
MaxColsAtCompileTime = Eigen : : ei_traits < Derived > : : MaxColsAtCompileTime , \
Flags = Eigen : : ei_traits < Derived > : : Flags , \
CoeffReadCost = Eigen : : ei_traits < Derived > : : CoeffReadCost , \
SizeAtCompileTime = Base : : SizeAtCompileTime , \
MaxSizeAtCompileTime = Base : : MaxSizeAtCompileTime , \
IsVectorAtCompileTime = Base : : IsVectorAtCompileTime } ; \
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using Base : : derived ; \
using Base : : const_cast_derived ;
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# define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
# define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
// EIGEN_SIZE_MIN gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
// followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
// finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
# define EIGEN_SIZE_MIN(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
: ( ( int ) a = = 1 | | ( int ) b = = 1 ) ? 1 \
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: ( ( int ) a = = Dynamic | | ( int ) b = = Dynamic ) ? Dynamic \
: ( ( int ) a < = ( int ) b ) ? ( int ) a : ( int ) b )
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// EIGEN_MAXSIZE_MIN is a variant of EIGEN_SIZE_MIN comparing MaxSizes. The difference is that finite values
// now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
// (between 0 and 3), it is not more than 3.
# define EIGEN_MAXSIZE_MIN(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
: ( ( int ) a = = 1 | | ( int ) b = = 1 ) ? 1 \
: ( ( int ) a = = Dynamic & & ( int ) b = = Dynamic ) ? Dynamic \
: ( ( int ) a = = Dynamic ) ? ( int ) b \
: ( ( int ) b = = Dynamic ) ? ( int ) a \
: ( ( int ) a < = ( int ) b ) ? ( int ) a : ( int ) b )
// see EIGEN_SIZE_MIN. No need for a separate variant for MaxSizes here.
# define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
: ( ( int ) a > = ( int ) b ) ? ( int ) a : ( int ) b )
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# define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
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# define EIGEN_IMPLIES(a,b) (!(a) || (b))
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# define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,FUNCTOR) \
template < typename OtherDerived > \
inline const CwiseBinaryOp < FUNCTOR < Scalar > , Derived , OtherDerived > \
METHOD ( const EIGEN_CURRENT_STORAGE_BASE_CLASS < OtherDerived > & other ) const \
{ \
return CwiseBinaryOp < FUNCTOR < Scalar > , Derived , OtherDerived > ( derived ( ) , other . derived ( ) ) ; \
}
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// the expression type of a cwise product
# define EIGEN_CWISE_PRODUCT_RETURN_TYPE(LHS,RHS) \
CwiseBinaryOp < \
ei_scalar_product_op < \
typename ei_scalar_product_traits < \
typename ei_traits < LHS > : : Scalar , \
typename ei_traits < RHS > : : Scalar \
> : : ReturnType \
> , \
LHS , \
RHS \
>
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# endif // EIGEN_MACROS_H