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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1 (at) gmail.com>
      6 //
      7 // This Source Code Form is subject to the terms of the Mozilla
      8 // Public License v. 2.0. If a copy of the MPL was not distributed
      9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
     10 
     11 #ifndef EIGEN_MACROS_H
     12 #define EIGEN_MACROS_H
     13 
     14 #define EIGEN_WORLD_VERSION 3
     15 #define EIGEN_MAJOR_VERSION 2
     16 #define EIGEN_MINOR_VERSION 2
     17 
     18 #define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
     19                                       (EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
     20                                                                  EIGEN_MINOR_VERSION>=z))))
     21 #ifdef __GNUC__
     22   #define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__==x && __GNUC_MINOR__>=y) || __GNUC__>x)
     23 #else
     24   #define EIGEN_GNUC_AT_LEAST(x,y) 0
     25 #endif
     26 
     27 #ifdef __GNUC__
     28   #define EIGEN_GNUC_AT_MOST(x,y) ((__GNUC__==x && __GNUC_MINOR__<=y) || __GNUC__<x)
     29 #else
     30   #define EIGEN_GNUC_AT_MOST(x,y) 0
     31 #endif
     32 
     33 #if EIGEN_GNUC_AT_MOST(4,3) && !defined(__clang__)
     34   // see bug 89
     35   #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 0
     36 #else
     37   #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 1
     38 #endif
     39 
     40 #if defined(__GNUC__) && (__GNUC__ <= 3)
     41 #define EIGEN_GCC3_OR_OLDER 1
     42 #else
     43 #define EIGEN_GCC3_OR_OLDER 0
     44 #endif
     45 
     46 // 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable
     47 // 16 byte alignment on all platforms where vectorization might be enabled. In theory we could always
     48 // enable alignment, but it can be a cause of problems on some platforms, so we just disable it in
     49 // certain common platform (compiler+architecture combinations) to avoid these problems.
     50 // Only static alignment is really problematic (relies on nonstandard compiler extensions that don't
     51 // work everywhere, for example don't work on GCC/ARM), try to keep heap alignment even
     52 // when we have to disable static alignment.
     53 #if defined(__GNUC__) && !(defined(__i386__) || defined(__x86_64__) || defined(__powerpc__) || defined(__ppc__) || defined(__ia64__))
     54 #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
     55 #else
     56 #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 0
     57 #endif
     58 
     59 // static alignment is completely disabled with GCC 3, Sun Studio, and QCC/QNX
     60 #if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT \
     61  && !EIGEN_GCC3_OR_OLDER \
     62  && !defined(__SUNPRO_CC) \
     63  && !defined(__QNXNTO__)
     64   #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 1
     65 #else
     66   #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 0
     67 #endif
     68 
     69 #ifdef EIGEN_DONT_ALIGN
     70   #ifndef EIGEN_DONT_ALIGN_STATICALLY
     71     #define EIGEN_DONT_ALIGN_STATICALLY
     72   #endif
     73   #define EIGEN_ALIGN 0
     74 #else
     75   #define EIGEN_ALIGN 1
     76 #endif
     77 
     78 // 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
     79 // alignment (EIGEN_DONT_ALIGN_STATICALLY) and the architecture config (EIGEN_ARCH_WANTS_STACK_ALIGNMENT). Henceforth, only EIGEN_ALIGN_STATICALLY should be used.
     80 #if EIGEN_ARCH_WANTS_STACK_ALIGNMENT && !defined(EIGEN_DONT_ALIGN_STATICALLY)
     81   #define EIGEN_ALIGN_STATICALLY 1
     82 #else
     83   #define EIGEN_ALIGN_STATICALLY 0
     84   #ifndef EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
     85     #define EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
     86   #endif
     87 #endif
     88 
     89 #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
     90 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION RowMajor
     91 #else
     92 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ColMajor
     93 #endif
     94 
     95 #ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
     96 #define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
     97 #endif
     98 
     99 /** Allows to disable some optimizations which might affect the accuracy of the result.
    100   * Such optimization are enabled by default, and set EIGEN_FAST_MATH to 0 to disable them.
    101   * They currently include:
    102   *   - single precision Cwise::sin() and Cwise::cos() when SSE vectorization is enabled.
    103   */
    104 #ifndef EIGEN_FAST_MATH
    105 #define EIGEN_FAST_MATH 1
    106 #endif
    107 
    108 #define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
    109 
    110 // concatenate two tokens
    111 #define EIGEN_CAT2(a,b) a ## b
    112 #define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
    113 
    114 // convert a token to a string
    115 #define EIGEN_MAKESTRING2(a) #a
    116 #define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
    117 
    118 // EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC,
    119 // but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline
    120 // but GCC is still doing fine with just inline.
    121 #if (defined _MSC_VER) || (defined __INTEL_COMPILER)
    122 #define EIGEN_STRONG_INLINE __forceinline
    123 #else
    124 #define EIGEN_STRONG_INLINE inline
    125 #endif
    126 
    127 // EIGEN_ALWAYS_INLINE is the stronget, it has the effect of making the function inline and adding every possible
    128 // attribute to maximize inlining. This should only be used when really necessary: in particular,
    129 // it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times.
    130 // FIXME with the always_inline attribute,
    131 // gcc 3.4.x reports the following compilation error:
    132 //   Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
    133 //    : function body not available
    134 #if EIGEN_GNUC_AT_LEAST(4,0)
    135 #define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline
    136 #else
    137 #define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE
    138 #endif
    139 
    140 #if (defined __GNUC__)
    141 #define EIGEN_DONT_INLINE __attribute__((noinline))
    142 #elif (defined _MSC_VER)
    143 #define EIGEN_DONT_INLINE __declspec(noinline)
    144 #else
    145 #define EIGEN_DONT_INLINE
    146 #endif
    147 
    148 #if (defined __GNUC__)
    149 #define EIGEN_PERMISSIVE_EXPR __extension__
    150 #else
    151 #define EIGEN_PERMISSIVE_EXPR
    152 #endif
    153 
    154 // this macro allows to get rid of linking errors about multiply defined functions.
    155 //  - static is not very good because it prevents definitions from different object files to be merged.
    156 //           So static causes the resulting linked executable to be bloated with multiple copies of the same function.
    157 //  - inline is not perfect either as it unwantedly hints the compiler toward inlining the function.
    158 #define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
    159 #define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS inline
    160 
    161 #ifdef NDEBUG
    162 # ifndef EIGEN_NO_DEBUG
    163 #  define EIGEN_NO_DEBUG
    164 # endif
    165 #endif
    166 
    167 // eigen_plain_assert is where we implement the workaround for the assert() bug in GCC <= 4.3, see bug 89
    168 #ifdef EIGEN_NO_DEBUG
    169   #define eigen_plain_assert(x)
    170 #else
    171   #if EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO
    172     namespace Eigen {
    173     namespace internal {
    174     inline bool copy_bool(bool b) { return b; }
    175     }
    176     }
    177     #define eigen_plain_assert(x) assert(x)
    178   #else
    179     // work around bug 89
    180     #include <cstdlib>   // for abort
    181     #include <iostream>  // for std::cerr
    182 
    183     namespace Eigen {
    184     namespace internal {
    185     // trivial function copying a bool. Must be EIGEN_DONT_INLINE, so we implement it after including Eigen headers.
    186     // see bug 89.
    187     namespace {
    188     EIGEN_DONT_INLINE bool copy_bool(bool b) { return b; }
    189     }
    190     inline void assert_fail(const char *condition, const char *function, const char *file, int line)
    191     {
    192       std::cerr << "assertion failed: " << condition << " in function " << function << " at " << file << ":" << line << std::endl;
    193       abort();
    194     }
    195     }
    196     }
    197     #define eigen_plain_assert(x) \
    198       do { \
    199         if(!Eigen::internal::copy_bool(x)) \
    200           Eigen::internal::assert_fail(EIGEN_MAKESTRING(x), __PRETTY_FUNCTION__, __FILE__, __LINE__); \
    201       } while(false)
    202   #endif
    203 #endif
    204 
    205 // eigen_assert can be overridden
    206 #ifndef eigen_assert
    207 #define eigen_assert(x) eigen_plain_assert(x)
    208 #endif
    209 
    210 #ifdef EIGEN_INTERNAL_DEBUGGING
    211 #define eigen_internal_assert(x) eigen_assert(x)
    212 #else
    213 #define eigen_internal_assert(x)
    214 #endif
    215 
    216 #ifdef EIGEN_NO_DEBUG
    217 #define EIGEN_ONLY_USED_FOR_DEBUG(x) (void)x
    218 #else
    219 #define EIGEN_ONLY_USED_FOR_DEBUG(x)
    220 #endif
    221 
    222 #ifndef EIGEN_NO_DEPRECATED_WARNING
    223   #if (defined __GNUC__)
    224     #define EIGEN_DEPRECATED __attribute__((deprecated))
    225   #elif (defined _MSC_VER)
    226     #define EIGEN_DEPRECATED __declspec(deprecated)
    227   #else
    228     #define EIGEN_DEPRECATED
    229   #endif
    230 #else
    231   #define EIGEN_DEPRECATED
    232 #endif
    233 
    234 #if (defined __GNUC__)
    235 #define EIGEN_UNUSED __attribute__((unused))
    236 #else
    237 #define EIGEN_UNUSED
    238 #endif
    239 
    240 // Suppresses 'unused variable' warnings.
    241 namespace Eigen {
    242   namespace internal {
    243     template<typename T> void ignore_unused_variable(const T&) {}
    244   }
    245 }
    246 #define EIGEN_UNUSED_VARIABLE(var) Eigen::internal::ignore_unused_variable(var);
    247 
    248 #if !defined(EIGEN_ASM_COMMENT)
    249   #if (defined __GNUC__) && ( defined(__i386__) || defined(__x86_64__) )
    250     #define EIGEN_ASM_COMMENT(X)  asm("#" X)
    251   #else
    252     #define EIGEN_ASM_COMMENT(X)
    253   #endif
    254 #endif
    255 
    256 /* EIGEN_ALIGN_TO_BOUNDARY(n) forces data to be n-byte aligned. This is used to satisfy SIMD requirements.
    257  * However, we do that EVEN if vectorization (EIGEN_VECTORIZE) is disabled,
    258  * so that vectorization doesn't affect binary compatibility.
    259  *
    260  * If we made alignment depend on whether or not EIGEN_VECTORIZE is defined, it would be impossible to link
    261  * vectorized and non-vectorized code.
    262  */
    263 #if (defined __GNUC__) || (defined __PGI) || (defined __IBMCPP__) || (defined __ARMCC_VERSION)
    264   #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
    265 #elif (defined _MSC_VER)
    266   #define EIGEN_ALIGN_TO_BOUNDARY(n) __declspec(align(n))
    267 #elif (defined __SUNPRO_CC)
    268   // FIXME not sure about this one:
    269   #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
    270 #else
    271   #error Please tell me what is the equivalent of __attribute__((aligned(n))) for your compiler
    272 #endif
    273 
    274 #define EIGEN_ALIGN16 EIGEN_ALIGN_TO_BOUNDARY(16)
    275 
    276 #if EIGEN_ALIGN_STATICALLY
    277 #define EIGEN_USER_ALIGN_TO_BOUNDARY(n) EIGEN_ALIGN_TO_BOUNDARY(n)
    278 #define EIGEN_USER_ALIGN16 EIGEN_ALIGN16
    279 #else
    280 #define EIGEN_USER_ALIGN_TO_BOUNDARY(n)
    281 #define EIGEN_USER_ALIGN16
    282 #endif
    283 
    284 #ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
    285   #define EIGEN_RESTRICT
    286 #endif
    287 #ifndef EIGEN_RESTRICT
    288   #define EIGEN_RESTRICT __restrict
    289 #endif
    290 
    291 #ifndef EIGEN_STACK_ALLOCATION_LIMIT
    292 // 131072 == 128 KB
    293 #define EIGEN_STACK_ALLOCATION_LIMIT 131072
    294 #endif
    295 
    296 #ifndef EIGEN_DEFAULT_IO_FORMAT
    297 #ifdef EIGEN_MAKING_DOCS
    298 // format used in Eigen's documentation
    299 // needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
    300 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat(3, 0, " ", "\n", "", "")
    301 #else
    302 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
    303 #endif
    304 #endif
    305 
    306 // just an empty macro !
    307 #define EIGEN_EMPTY
    308 
    309 #if defined(_MSC_VER) && (!defined(__INTEL_COMPILER))
    310 #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
    311   using Base::operator =;
    312 #elif defined(__clang__) // workaround clang bug (see http://forum.kde.org/viewtopic.php?f=74&t=102653)
    313 #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
    314   using Base::operator =; \
    315   EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) { Base::operator=(other); return *this; } \
    316   template <typename OtherDerived> \
    317   EIGEN_STRONG_INLINE Derived& operator=(const DenseBase<OtherDerived>& other) { Base::operator=(other.derived()); return *this; }
    318 #else
    319 #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
    320   using Base::operator =; \
    321   EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) \
    322   { \
    323     Base::operator=(other); \
    324     return *this; \
    325   }
    326 #endif
    327 
    328 #define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
    329   EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived)
    330 
    331 /**
    332 * Just a side note. Commenting within defines works only by documenting
    333 * behind the object (via '!<'). Comments cannot be multi-line and thus
    334 * we have these extra long lines. What is confusing doxygen over here is
    335 * that we use '\' and basically have a bunch of typedefs with their
    336 * documentation in a single line.
    337 **/
    338 
    339 #define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
    340   typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
    341   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. */ \
    342   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. */ \
    343   typedef typename Eigen::internal::nested<Derived>::type Nested; \
    344   typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
    345   typedef typename Eigen::internal::traits<Derived>::Index Index; \
    346   enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
    347         ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
    348         Flags = Eigen::internal::traits<Derived>::Flags, \
    349         CoeffReadCost = Eigen::internal::traits<Derived>::CoeffReadCost, \
    350         SizeAtCompileTime = Base::SizeAtCompileTime, \
    351         MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
    352         IsVectorAtCompileTime = Base::IsVectorAtCompileTime };
    353 
    354 
    355 #define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
    356   typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
    357   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. */ \
    358   typedef typename Base::PacketScalar PacketScalar; \
    359   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. */ \
    360   typedef typename Eigen::internal::nested<Derived>::type Nested; \
    361   typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
    362   typedef typename Eigen::internal::traits<Derived>::Index Index; \
    363   enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
    364         ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
    365         MaxRowsAtCompileTime = Eigen::internal::traits<Derived>::MaxRowsAtCompileTime, \
    366         MaxColsAtCompileTime = Eigen::internal::traits<Derived>::MaxColsAtCompileTime, \
    367         Flags = Eigen::internal::traits<Derived>::Flags, \
    368         CoeffReadCost = Eigen::internal::traits<Derived>::CoeffReadCost, \
    369         SizeAtCompileTime = Base::SizeAtCompileTime, \
    370         MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
    371         IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
    372   using Base::derived; \
    373   using Base::const_cast_derived;
    374 
    375 
    376 #define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
    377 #define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
    378 
    379 // EIGEN_SIZE_MIN_PREFER_DYNAMIC gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
    380 // followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
    381 // finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
    382 #define EIGEN_SIZE_MIN_PREFER_DYNAMIC(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
    383                            : ((int)a == 1 || (int)b == 1) ? 1 \
    384                            : ((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
    385                            : ((int)a <= (int)b) ? (int)a : (int)b)
    386 
    387 // EIGEN_SIZE_MIN_PREFER_FIXED is a variant of EIGEN_SIZE_MIN_PREFER_DYNAMIC comparing MaxSizes. The difference is that finite values
    388 // now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
    389 // (between 0 and 3), it is not more than 3.
    390 #define EIGEN_SIZE_MIN_PREFER_FIXED(a,b)  (((int)a == 0 || (int)b == 0) ? 0 \
    391                            : ((int)a == 1 || (int)b == 1) ? 1 \
    392                            : ((int)a == Dynamic && (int)b == Dynamic) ? Dynamic \
    393                            : ((int)a == Dynamic) ? (int)b \
    394                            : ((int)b == Dynamic) ? (int)a \
    395                            : ((int)a <= (int)b) ? (int)a : (int)b)
    396 
    397 // see EIGEN_SIZE_MIN_PREFER_DYNAMIC. No need for a separate variant for MaxSizes here.
    398 #define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
    399                            : ((int)a >= (int)b) ? (int)a : (int)b)
    400 
    401 #define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
    402 
    403 #define EIGEN_IMPLIES(a,b) (!(a) || (b))
    404 
    405 #define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,FUNCTOR) \
    406   template<typename OtherDerived> \
    407   EIGEN_STRONG_INLINE const CwiseBinaryOp<FUNCTOR<Scalar>, const Derived, const OtherDerived> \
    408   (METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
    409   { \
    410     return CwiseBinaryOp<FUNCTOR<Scalar>, const Derived, const OtherDerived>(derived(), other.derived()); \
    411   }
    412 
    413 // the expression type of a cwise product
    414 #define EIGEN_CWISE_PRODUCT_RETURN_TYPE(LHS,RHS) \
    415     CwiseBinaryOp< \
    416       internal::scalar_product_op< \
    417           typename internal::traits<LHS>::Scalar, \
    418           typename internal::traits<RHS>::Scalar \
    419       >, \
    420       const LHS, \
    421       const RHS \
    422     >
    423 
    424 #endif // EIGEN_MACROS_H
    425