Eigen  3.3.3
Macros.h
00001 // This file is part of Eigen, a lightweight C++ template library
00002 // for linear algebra.
00003 //
00004 // Copyright (C) 2008-2015 Gael Guennebaud <gael.guennebaud@inria.fr>
00005 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
00006 //
00007 // This Source Code Form is subject to the terms of the Mozilla
00008 // Public License v. 2.0. If a copy of the MPL was not distributed
00009 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
00010 
00011 #ifndef EIGEN_MACROS_H
00012 #define EIGEN_MACROS_H
00013 
00014 #define EIGEN_WORLD_VERSION 3
00015 #define EIGEN_MAJOR_VERSION 3
00016 #define EIGEN_MINOR_VERSION 3
00017 
00018 #define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
00019                                       (EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
00020                                                                  EIGEN_MINOR_VERSION>=z))))
00021 
00022 // Compiler identification, EIGEN_COMP_*
00023 
00025 #ifdef __GNUC__
00026   #define EIGEN_COMP_GNUC 1
00027 #else
00028   #define EIGEN_COMP_GNUC 0
00029 #endif
00030 
00032 #if defined(__clang__)
00033   #define EIGEN_COMP_CLANG (__clang_major__*100+__clang_minor__)
00034 #else
00035   #define EIGEN_COMP_CLANG 0
00036 #endif
00037 
00038 
00040 #if defined(__llvm__)
00041   #define EIGEN_COMP_LLVM 1
00042 #else
00043   #define EIGEN_COMP_LLVM 0
00044 #endif
00045 
00047 #if defined(__INTEL_COMPILER)
00048   #define EIGEN_COMP_ICC __INTEL_COMPILER
00049 #else
00050   #define EIGEN_COMP_ICC 0
00051 #endif
00052 
00054 #if defined(__MINGW32__)
00055   #define EIGEN_COMP_MINGW 1
00056 #else
00057   #define EIGEN_COMP_MINGW 0
00058 #endif
00059 
00061 #if defined(__SUNPRO_CC)
00062   #define EIGEN_COMP_SUNCC 1
00063 #else
00064   #define EIGEN_COMP_SUNCC 0
00065 #endif
00066 
00068 #if defined(_MSC_VER)
00069   #define EIGEN_COMP_MSVC _MSC_VER
00070 #else
00071   #define EIGEN_COMP_MSVC 0
00072 #endif
00073 
00074 // For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC:
00075 //  name  ver   MSC_VER
00076 //  2008    9      1500
00077 //  2010   10      1600
00078 //  2012   11      1700
00079 //  2013   12      1800
00080 //  2015   14      1900
00081 //  "15"   15      1900
00082 
00084 #if EIGEN_COMP_MSVC && !(EIGEN_COMP_ICC || EIGEN_COMP_LLVM || EIGEN_COMP_CLANG)
00085   #define EIGEN_COMP_MSVC_STRICT _MSC_VER
00086 #else
00087   #define EIGEN_COMP_MSVC_STRICT 0
00088 #endif
00089 
00091 #if defined(__IBMCPP__) || defined(__xlc__)
00092   #define EIGEN_COMP_IBM 1
00093 #else
00094   #define EIGEN_COMP_IBM 0
00095 #endif
00096 
00098 #if defined(__PGI)
00099   #define EIGEN_COMP_PGI 1
00100 #else
00101   #define EIGEN_COMP_PGI 0
00102 #endif
00103 
00105 #if defined(__CC_ARM) || defined(__ARMCC_VERSION)
00106   #define EIGEN_COMP_ARM 1
00107 #else
00108   #define EIGEN_COMP_ARM 0
00109 #endif
00110 
00112 #if defined(__EMSCRIPTEN__)
00113   #define EIGEN_COMP_EMSCRIPTEN 1
00114 #else
00115   #define EIGEN_COMP_EMSCRIPTEN 0
00116 #endif
00117 
00118 
00120 #if EIGEN_COMP_GNUC && !(EIGEN_COMP_CLANG || EIGEN_COMP_ICC || EIGEN_COMP_MINGW || EIGEN_COMP_PGI || EIGEN_COMP_IBM || EIGEN_COMP_ARM || EIGEN_COMP_EMSCRIPTEN)
00121   #define EIGEN_COMP_GNUC_STRICT 1
00122 #else
00123   #define EIGEN_COMP_GNUC_STRICT 0
00124 #endif
00125 
00126 
00127 #if EIGEN_COMP_GNUC
00128   #define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__==x && __GNUC_MINOR__>=y) || __GNUC__>x)
00129   #define EIGEN_GNUC_AT_MOST(x,y)  ((__GNUC__==x && __GNUC_MINOR__<=y) || __GNUC__<x)
00130   #define EIGEN_GNUC_AT(x,y)       ( __GNUC__==x && __GNUC_MINOR__==y )
00131 #else
00132   #define EIGEN_GNUC_AT_LEAST(x,y) 0
00133   #define EIGEN_GNUC_AT_MOST(x,y)  0
00134   #define EIGEN_GNUC_AT(x,y)       0
00135 #endif
00136 
00137 // FIXME: could probably be removed as we do not support gcc 3.x anymore
00138 #if EIGEN_COMP_GNUC && (__GNUC__ <= 3)
00139 #define EIGEN_GCC3_OR_OLDER 1
00140 #else
00141 #define EIGEN_GCC3_OR_OLDER 0
00142 #endif
00143 
00144 
00145 // Architecture identification, EIGEN_ARCH_*
00146 
00147 #if defined(__x86_64__) || defined(_M_X64) || defined(__amd64)
00148   #define EIGEN_ARCH_x86_64 1
00149 #else
00150   #define EIGEN_ARCH_x86_64 0
00151 #endif
00152 
00153 #if defined(__i386__) || defined(_M_IX86) || defined(_X86_) || defined(__i386)
00154   #define EIGEN_ARCH_i386 1
00155 #else
00156   #define EIGEN_ARCH_i386 0
00157 #endif
00158 
00159 #if EIGEN_ARCH_x86_64 || EIGEN_ARCH_i386
00160   #define EIGEN_ARCH_i386_OR_x86_64 1
00161 #else
00162   #define EIGEN_ARCH_i386_OR_x86_64 0
00163 #endif
00164 
00166 #if defined(__arm__)
00167   #define EIGEN_ARCH_ARM 1
00168 #else
00169   #define EIGEN_ARCH_ARM 0
00170 #endif
00171 
00173 #if defined(__aarch64__)
00174   #define EIGEN_ARCH_ARM64 1
00175 #else
00176   #define EIGEN_ARCH_ARM64 0
00177 #endif
00178 
00179 #if EIGEN_ARCH_ARM || EIGEN_ARCH_ARM64
00180   #define EIGEN_ARCH_ARM_OR_ARM64 1
00181 #else
00182   #define EIGEN_ARCH_ARM_OR_ARM64 0
00183 #endif
00184 
00186 #if defined(__mips__) || defined(__mips)
00187   #define EIGEN_ARCH_MIPS 1
00188 #else
00189   #define EIGEN_ARCH_MIPS 0
00190 #endif
00191 
00193 #if defined(__sparc__) || defined(__sparc)
00194   #define EIGEN_ARCH_SPARC 1
00195 #else
00196   #define EIGEN_ARCH_SPARC 0
00197 #endif
00198 
00200 #if defined(__ia64__)
00201   #define EIGEN_ARCH_IA64 1
00202 #else
00203   #define EIGEN_ARCH_IA64 0
00204 #endif
00205 
00207 #if defined(__powerpc__) || defined(__ppc__) || defined(_M_PPC)
00208   #define EIGEN_ARCH_PPC 1
00209 #else
00210   #define EIGEN_ARCH_PPC 0
00211 #endif
00212 
00213 
00214 
00215 // Operating system identification, EIGEN_OS_*
00216 
00218 #if defined(__unix__) || defined(__unix)
00219   #define EIGEN_OS_UNIX 1
00220 #else
00221   #define EIGEN_OS_UNIX 0
00222 #endif
00223 
00225 #if defined(__linux__)
00226   #define EIGEN_OS_LINUX 1
00227 #else
00228   #define EIGEN_OS_LINUX 0
00229 #endif
00230 
00232 // note: ANDROID is defined when using ndk_build, __ANDROID__ is defined when using a standalone toolchain.
00233 #if defined(__ANDROID__) || defined(ANDROID)
00234   #define EIGEN_OS_ANDROID 1
00235 #else
00236   #define EIGEN_OS_ANDROID 0
00237 #endif
00238 
00240 #if defined(__gnu_linux__) && !(EIGEN_OS_ANDROID)
00241   #define EIGEN_OS_GNULINUX 1
00242 #else
00243   #define EIGEN_OS_GNULINUX 0
00244 #endif
00245 
00247 #if defined(__FreeBSD__) || defined(__NetBSD__) || defined(__OpenBSD__) || defined(__bsdi__) || defined(__DragonFly__)
00248   #define EIGEN_OS_BSD 1
00249 #else
00250   #define EIGEN_OS_BSD 0
00251 #endif
00252 
00254 #if defined(__APPLE__)
00255   #define EIGEN_OS_MAC 1
00256 #else
00257   #define EIGEN_OS_MAC 0
00258 #endif
00259 
00261 #if defined(__QNX__)
00262   #define EIGEN_OS_QNX 1
00263 #else
00264   #define EIGEN_OS_QNX 0
00265 #endif
00266 
00268 #if defined(_WIN32)
00269   #define EIGEN_OS_WIN 1
00270 #else
00271   #define EIGEN_OS_WIN 0
00272 #endif
00273 
00275 #if defined(_WIN64)
00276   #define EIGEN_OS_WIN64 1
00277 #else
00278   #define EIGEN_OS_WIN64 0
00279 #endif
00280 
00282 #if defined(_WIN32_WCE)
00283   #define EIGEN_OS_WINCE 1
00284 #else
00285   #define EIGEN_OS_WINCE 0
00286 #endif
00287 
00289 #if defined(__CYGWIN__)
00290   #define EIGEN_OS_CYGWIN 1
00291 #else
00292   #define EIGEN_OS_CYGWIN 0
00293 #endif
00294 
00296 #if EIGEN_OS_WIN && !( EIGEN_OS_WINCE || EIGEN_OS_CYGWIN )
00297   #define EIGEN_OS_WIN_STRICT 1
00298 #else
00299   #define EIGEN_OS_WIN_STRICT 0
00300 #endif
00301 
00303 #if (defined(sun) || defined(__sun)) && !(defined(__SVR4) || defined(__svr4__))
00304   #define EIGEN_OS_SUN 1
00305 #else
00306   #define EIGEN_OS_SUN 0
00307 #endif
00308 
00310 #if (defined(sun) || defined(__sun)) && (defined(__SVR4) || defined(__svr4__))
00311   #define EIGEN_OS_SOLARIS 1
00312 #else
00313   #define EIGEN_OS_SOLARIS 0
00314 #endif
00315 
00316 
00317 
00318 #if EIGEN_GNUC_AT_MOST(4,3) && !EIGEN_COMP_CLANG
00319   // see bug 89
00320   #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 0
00321 #else
00322   #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 1
00323 #endif
00324 
00325 // This macro can be used to prevent from macro expansion, e.g.:
00326 //   std::max EIGEN_NOT_A_MACRO(a,b)
00327 #define EIGEN_NOT_A_MACRO
00328 
00329 #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
00330 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::RowMajor
00331 #else
00332 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::ColMajor
00333 #endif
00334 
00335 #ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
00336 #define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
00337 #endif
00338 
00339 // Cross compiler wrapper around LLVM's __has_builtin
00340 #ifdef __has_builtin
00341 #  define EIGEN_HAS_BUILTIN(x) __has_builtin(x)
00342 #else
00343 #  define EIGEN_HAS_BUILTIN(x) 0
00344 #endif
00345 
00346 // A Clang feature extension to determine compiler features.
00347 // We use it to determine 'cxx_rvalue_references'
00348 #ifndef __has_feature
00349 # define __has_feature(x) 0
00350 #endif
00351 
00352 // Upperbound on the C++ version to use.
00353 // Expected values are 03, 11, 14, 17, etc.
00354 // By default, let's use an arbitrarily large C++ version.
00355 #ifndef EIGEN_MAX_CPP_VER
00356 #define EIGEN_MAX_CPP_VER 99
00357 #endif
00358 
00359 #if EIGEN_MAX_CPP_VER>=11 && (defined(__cplusplus) && (__cplusplus >= 201103L) || EIGEN_COMP_MSVC >= 1900)
00360 #define EIGEN_HAS_CXX11 1
00361 #else
00362 #define EIGEN_HAS_CXX11 0
00363 #endif
00364 
00365 
00366 // Do we support r-value references?
00367 #ifndef EIGEN_HAS_RVALUE_REFERENCES
00368 #if EIGEN_MAX_CPP_VER>=11 && \
00369     (__has_feature(cxx_rvalue_references) || \
00370     (defined(__cplusplus) && __cplusplus >= 201103L) || \
00371     (EIGEN_COMP_MSVC >= 1600))
00372   #define EIGEN_HAS_RVALUE_REFERENCES 1
00373 #else
00374   #define EIGEN_HAS_RVALUE_REFERENCES 0
00375 #endif
00376 #endif
00377 
00378 // Does the compiler support C99?
00379 #ifndef EIGEN_HAS_C99_MATH
00380 #if EIGEN_MAX_CPP_VER>=11 && \
00381     ((defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901))       \
00382   || (defined(__GNUC__) && defined(_GLIBCXX_USE_C99)) \
00383   || (defined(_LIBCPP_VERSION) && !defined(_MSC_VER)))
00384   #define EIGEN_HAS_C99_MATH 1
00385 #else
00386   #define EIGEN_HAS_C99_MATH 0
00387 #endif
00388 #endif
00389 
00390 // Does the compiler support result_of?
00391 #ifndef EIGEN_HAS_STD_RESULT_OF
00392 #if EIGEN_MAX_CPP_VER>=11 && ((__has_feature(cxx_lambdas) || (defined(__cplusplus) && __cplusplus >= 201103L)))
00393 #define EIGEN_HAS_STD_RESULT_OF 1
00394 #else
00395 #define EIGEN_HAS_STD_RESULT_OF 0
00396 #endif
00397 #endif
00398 
00399 // Does the compiler support variadic templates?
00400 #ifndef EIGEN_HAS_VARIADIC_TEMPLATES
00401 #if EIGEN_MAX_CPP_VER>=11 && (__cplusplus > 199711L || EIGEN_COMP_MSVC >= 1900) \
00402   && ( !defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64 || (defined __CUDACC_VER__ && __CUDACC_VER__ >= 80000) )
00403     // ^^ Disable the use of variadic templates when compiling with versions of nvcc older than 8.0 on ARM devices:
00404     //    this prevents nvcc from crashing when compiling Eigen on Tegra X1
00405 #define EIGEN_HAS_VARIADIC_TEMPLATES 1
00406 #else
00407 #define EIGEN_HAS_VARIADIC_TEMPLATES 0
00408 #endif
00409 #endif
00410 
00411 // Does the compiler fully support const expressions? (as in c++14)
00412 #ifndef EIGEN_HAS_CONSTEXPR
00413 
00414 #ifdef __CUDACC__
00415 // Const expressions are supported provided that c++11 is enabled and we're using either clang or nvcc 7.5 or above
00416 #if EIGEN_MAX_CPP_VER>=14 && (__cplusplus > 199711L && defined(__CUDACC_VER__) && (EIGEN_COMP_CLANG || __CUDACC_VER__ >= 70500))
00417   #define EIGEN_HAS_CONSTEXPR 1
00418 #endif
00419 #elif EIGEN_MAX_CPP_VER>=14 && (__has_feature(cxx_relaxed_constexpr) || (defined(__cplusplus) && __cplusplus >= 201402L) || \
00420   (EIGEN_GNUC_AT_LEAST(4,8) && (__cplusplus > 199711L)))
00421 #define EIGEN_HAS_CONSTEXPR 1
00422 #endif
00423 
00424 #ifndef EIGEN_HAS_CONSTEXPR
00425 #define EIGEN_HAS_CONSTEXPR 0
00426 #endif
00427 
00428 #endif
00429 
00430 // Does the compiler support C++11 math?
00431 // Let's be conservative and enable the default C++11 implementation only if we are sure it exists
00432 #ifndef EIGEN_HAS_CXX11_MATH
00433   #if EIGEN_MAX_CPP_VER>=11 && ((__cplusplus > 201103L) || (__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC)  \
00434       && (EIGEN_ARCH_i386_OR_x86_64) && (EIGEN_OS_GNULINUX || EIGEN_OS_WIN_STRICT || EIGEN_OS_MAC))
00435     #define EIGEN_HAS_CXX11_MATH 1
00436   #else
00437     #define EIGEN_HAS_CXX11_MATH 0
00438   #endif
00439 #endif
00440 
00441 // Does the compiler support proper C++11 containers?
00442 #ifndef EIGEN_HAS_CXX11_CONTAINERS
00443   #if    EIGEN_MAX_CPP_VER>=11 && \
00444          ((__cplusplus > 201103L) \
00445       || ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
00446       || EIGEN_COMP_MSVC >= 1900)
00447     #define EIGEN_HAS_CXX11_CONTAINERS 1
00448   #else
00449     #define EIGEN_HAS_CXX11_CONTAINERS 0
00450   #endif
00451 #endif
00452 
00453 // Does the compiler support C++11 noexcept?
00454 #ifndef EIGEN_HAS_CXX11_NOEXCEPT
00455   #if    EIGEN_MAX_CPP_VER>=11 && \
00456          (__has_feature(cxx_noexcept) \
00457       || (__cplusplus > 201103L) \
00458       || ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
00459       || EIGEN_COMP_MSVC >= 1900)
00460     #define EIGEN_HAS_CXX11_NOEXCEPT 1
00461   #else
00462     #define EIGEN_HAS_CXX11_NOEXCEPT 0
00463   #endif
00464 #endif
00465 
00471 #ifndef EIGEN_FAST_MATH
00472 #define EIGEN_FAST_MATH 1
00473 #endif
00474 
00475 #define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
00476 
00477 // concatenate two tokens
00478 #define EIGEN_CAT2(a,b) a ## b
00479 #define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
00480 
00481 #define EIGEN_COMMA ,
00482 
00483 // convert a token to a string
00484 #define EIGEN_MAKESTRING2(a) #a
00485 #define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
00486 
00487 // EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC,
00488 // but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline
00489 // but GCC is still doing fine with just inline.
00490 #if EIGEN_COMP_MSVC || EIGEN_COMP_ICC
00491 #define EIGEN_STRONG_INLINE __forceinline
00492 #else
00493 #define EIGEN_STRONG_INLINE inline
00494 #endif
00495 
00496 // EIGEN_ALWAYS_INLINE is the stronget, it has the effect of making the function inline and adding every possible
00497 // attribute to maximize inlining. This should only be used when really necessary: in particular,
00498 // it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times.
00499 // FIXME with the always_inline attribute,
00500 // gcc 3.4.x and 4.1 reports the following compilation error:
00501 //   Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
00502 //    : function body not available
00503 //   See also bug 1367
00504 #if EIGEN_GNUC_AT_LEAST(4,2)
00505 #define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline
00506 #else
00507 #define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE
00508 #endif
00509 
00510 #if EIGEN_COMP_GNUC
00511 #define EIGEN_DONT_INLINE __attribute__((noinline))
00512 #elif EIGEN_COMP_MSVC
00513 #define EIGEN_DONT_INLINE __declspec(noinline)
00514 #else
00515 #define EIGEN_DONT_INLINE
00516 #endif
00517 
00518 #if EIGEN_COMP_GNUC
00519 #define EIGEN_PERMISSIVE_EXPR __extension__
00520 #else
00521 #define EIGEN_PERMISSIVE_EXPR
00522 #endif
00523 
00524 // this macro allows to get rid of linking errors about multiply defined functions.
00525 //  - static is not very good because it prevents definitions from different object files to be merged.
00526 //           So static causes the resulting linked executable to be bloated with multiple copies of the same function.
00527 //  - inline is not perfect either as it unwantedly hints the compiler toward inlining the function.
00528 #define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
00529 #define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS inline
00530 
00531 #ifdef NDEBUG
00532 # ifndef EIGEN_NO_DEBUG
00533 #  define EIGEN_NO_DEBUG
00534 # endif
00535 #endif
00536 
00537 // eigen_plain_assert is where we implement the workaround for the assert() bug in GCC <= 4.3, see bug 89
00538 #ifdef EIGEN_NO_DEBUG
00539   #define eigen_plain_assert(x)
00540 #else
00541   #if EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO
00542     namespace Eigen {
00543     namespace internal {
00544     inline bool copy_bool(bool b) { return b; }
00545     }
00546     }
00547     #define eigen_plain_assert(x) assert(x)
00548   #else
00549     // work around bug 89
00550     #include <cstdlib>   // for abort
00551     #include <iostream>  // for std::cerr
00552 
00553     namespace Eigen {
00554     namespace internal {
00555     // trivial function copying a bool. Must be EIGEN_DONT_INLINE, so we implement it after including Eigen headers.
00556     // see bug 89.
00557     namespace {
00558     EIGEN_DONT_INLINE bool copy_bool(bool b) { return b; }
00559     }
00560     inline void assert_fail(const char *condition, const char *function, const char *file, int line)
00561     {
00562       std::cerr << "assertion failed: " << condition << " in function " << function << " at " << file << ":" << line << std::endl;
00563       abort();
00564     }
00565     }
00566     }
00567     #define eigen_plain_assert(x) \
00568       do { \
00569         if(!Eigen::internal::copy_bool(x)) \
00570           Eigen::internal::assert_fail(EIGEN_MAKESTRING(x), __PRETTY_FUNCTION__, __FILE__, __LINE__); \
00571       } while(false)
00572   #endif
00573 #endif
00574 
00575 // eigen_assert can be overridden
00576 #ifndef eigen_assert
00577 #define eigen_assert(x) eigen_plain_assert(x)
00578 #endif
00579 
00580 #ifdef EIGEN_INTERNAL_DEBUGGING
00581 #define eigen_internal_assert(x) eigen_assert(x)
00582 #else
00583 #define eigen_internal_assert(x)
00584 #endif
00585 
00586 #ifdef EIGEN_NO_DEBUG
00587 #define EIGEN_ONLY_USED_FOR_DEBUG(x) EIGEN_UNUSED_VARIABLE(x)
00588 #else
00589 #define EIGEN_ONLY_USED_FOR_DEBUG(x)
00590 #endif
00591 
00592 #ifndef EIGEN_NO_DEPRECATED_WARNING
00593   #if EIGEN_COMP_GNUC
00594     #define EIGEN_DEPRECATED __attribute__((deprecated))
00595   #elif EIGEN_COMP_MSVC
00596     #define EIGEN_DEPRECATED __declspec(deprecated)
00597   #else
00598     #define EIGEN_DEPRECATED
00599   #endif
00600 #else
00601   #define EIGEN_DEPRECATED
00602 #endif
00603 
00604 #if EIGEN_COMP_GNUC
00605 #define EIGEN_UNUSED __attribute__((unused))
00606 #else
00607 #define EIGEN_UNUSED
00608 #endif
00609 
00610 // Suppresses 'unused variable' warnings.
00611 namespace Eigen {
00612   namespace internal {
00613     template<typename T> EIGEN_DEVICE_FUNC void ignore_unused_variable(const T&) {}
00614   }
00615 }
00616 #define EIGEN_UNUSED_VARIABLE(var) Eigen::internal::ignore_unused_variable(var);
00617 
00618 #if !defined(EIGEN_ASM_COMMENT)
00619   #if EIGEN_COMP_GNUC && (EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64)
00620     #define EIGEN_ASM_COMMENT(X)  __asm__("#" X)
00621   #else
00622     #define EIGEN_ASM_COMMENT(X)
00623   #endif
00624 #endif
00625 
00626 
00627 //------------------------------------------------------------------------------------------
00628 // Static and dynamic alignment control
00629 //
00630 // The main purpose of this section is to define EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES
00631 // as the maximal boundary in bytes on which dynamically and statically allocated data may be alignment respectively.
00632 // The values of EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES can be specified by the user. If not,
00633 // a default value is automatically computed based on architecture, compiler, and OS.
00634 //
00635 // This section also defines macros EIGEN_ALIGN_TO_BOUNDARY(N) and the shortcuts EIGEN_ALIGN{8,16,32,_MAX}
00636 // to be used to declare statically aligned buffers.
00637 //------------------------------------------------------------------------------------------
00638 
00639 
00640 /* EIGEN_ALIGN_TO_BOUNDARY(n) forces data to be n-byte aligned. This is used to satisfy SIMD requirements.
00641  * However, we do that EVEN if vectorization (EIGEN_VECTORIZE) is disabled,
00642  * so that vectorization doesn't affect binary compatibility.
00643  *
00644  * If we made alignment depend on whether or not EIGEN_VECTORIZE is defined, it would be impossible to link
00645  * vectorized and non-vectorized code.
00646  */
00647 #if (defined __CUDACC__)
00648   #define EIGEN_ALIGN_TO_BOUNDARY(n) __align__(n)
00649 #elif EIGEN_COMP_GNUC || EIGEN_COMP_PGI || EIGEN_COMP_IBM || EIGEN_COMP_ARM
00650   #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
00651 #elif EIGEN_COMP_MSVC
00652   #define EIGEN_ALIGN_TO_BOUNDARY(n) __declspec(align(n))
00653 #elif EIGEN_COMP_SUNCC
00654   // FIXME not sure about this one:
00655   #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
00656 #else
00657   #error Please tell me what is the equivalent of __attribute__((aligned(n))) for your compiler
00658 #endif
00659 
00660 // If the user explicitly disable vectorization, then we also disable alignment
00661 #if defined(EIGEN_DONT_VECTORIZE)
00662   #define EIGEN_IDEAL_MAX_ALIGN_BYTES 0
00663 #elif defined(EIGEN_VECTORIZE_AVX512)
00664   // 64 bytes static alignmeent is preferred only if really required
00665   #define EIGEN_IDEAL_MAX_ALIGN_BYTES 64
00666 #elif defined(__AVX__)
00667   // 32 bytes static alignmeent is preferred only if really required
00668   #define EIGEN_IDEAL_MAX_ALIGN_BYTES 32
00669 #else
00670   #define EIGEN_IDEAL_MAX_ALIGN_BYTES 16
00671 #endif
00672 
00673 
00674 // EIGEN_MIN_ALIGN_BYTES defines the minimal value for which the notion of explicit alignment makes sense
00675 #define EIGEN_MIN_ALIGN_BYTES 16
00676 
00677 // Defined the boundary (in bytes) on which the data needs to be aligned. Note
00678 // that unless EIGEN_ALIGN is defined and not equal to 0, the data may not be
00679 // aligned at all regardless of the value of this #define.
00680 
00681 #if (defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN))  && defined(EIGEN_MAX_STATIC_ALIGN_BYTES) && EIGEN_MAX_STATIC_ALIGN_BYTES>0
00682 #error EIGEN_MAX_STATIC_ALIGN_BYTES and EIGEN_DONT_ALIGN[_STATICALLY] are both defined with EIGEN_MAX_STATIC_ALIGN_BYTES!=0. Use EIGEN_MAX_STATIC_ALIGN_BYTES=0 as a synonym of EIGEN_DONT_ALIGN_STATICALLY.
00683 #endif
00684 
00685 // EIGEN_DONT_ALIGN_STATICALLY and EIGEN_DONT_ALIGN are deprectated
00686 // They imply EIGEN_MAX_STATIC_ALIGN_BYTES=0
00687 #if defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN)
00688   #ifdef EIGEN_MAX_STATIC_ALIGN_BYTES
00689     #undef EIGEN_MAX_STATIC_ALIGN_BYTES
00690   #endif
00691   #define EIGEN_MAX_STATIC_ALIGN_BYTES 0
00692 #endif
00693 
00694 #ifndef EIGEN_MAX_STATIC_ALIGN_BYTES
00695 
00696   // Try to automatically guess what is the best default value for EIGEN_MAX_STATIC_ALIGN_BYTES
00697 
00698   // 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable
00699   // 16 byte alignment on all platforms where vectorization might be enabled. In theory we could always
00700   // enable alignment, but it can be a cause of problems on some platforms, so we just disable it in
00701   // certain common platform (compiler+architecture combinations) to avoid these problems.
00702   // Only static alignment is really problematic (relies on nonstandard compiler extensions),
00703   // try to keep heap alignment even when we have to disable static alignment.
00704   #if EIGEN_COMP_GNUC && !(EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64 || EIGEN_ARCH_PPC || EIGEN_ARCH_IA64)
00705   #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
00706   #elif EIGEN_ARCH_ARM_OR_ARM64 && EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_MOST(4, 6)
00707   // Old versions of GCC on ARM, at least 4.4, were once seen to have buggy static alignment support.
00708   // Not sure which version fixed it, hopefully it doesn't affect 4.7, which is still somewhat in use.
00709   // 4.8 and newer seem definitely unaffected.
00710   #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
00711   #else
00712   #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 0
00713   #endif
00714 
00715   // static alignment is completely disabled with GCC 3, Sun Studio, and QCC/QNX
00716   #if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT \
00717   && !EIGEN_GCC3_OR_OLDER \
00718   && !EIGEN_COMP_SUNCC \
00719   && !EIGEN_OS_QNX
00720     #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 1
00721   #else
00722     #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 0
00723   #endif
00724 
00725   #if EIGEN_ARCH_WANTS_STACK_ALIGNMENT
00726     #define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
00727   #else
00728     #define EIGEN_MAX_STATIC_ALIGN_BYTES 0
00729   #endif
00730 
00731 #endif
00732 
00733 // If EIGEN_MAX_ALIGN_BYTES is defined, then it is considered as an upper bound for EIGEN_MAX_ALIGN_BYTES
00734 #if defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES<EIGEN_MAX_STATIC_ALIGN_BYTES
00735 #undef EIGEN_MAX_STATIC_ALIGN_BYTES
00736 #define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
00737 #endif
00738 
00739 #if EIGEN_MAX_STATIC_ALIGN_BYTES==0 && !defined(EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT)
00740   #define EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
00741 #endif
00742 
00743 // At this stage, EIGEN_MAX_STATIC_ALIGN_BYTES>0 is the true test whether we want to align arrays on the stack or not.
00744 // It takes into account both the user choice to explicitly enable/disable alignment (by settting EIGEN_MAX_STATIC_ALIGN_BYTES)
00745 // and the architecture config (EIGEN_ARCH_WANTS_STACK_ALIGNMENT).
00746 // Henceforth, only EIGEN_MAX_STATIC_ALIGN_BYTES should be used.
00747 
00748 
00749 // Shortcuts to EIGEN_ALIGN_TO_BOUNDARY
00750 #define EIGEN_ALIGN8  EIGEN_ALIGN_TO_BOUNDARY(8)
00751 #define EIGEN_ALIGN16 EIGEN_ALIGN_TO_BOUNDARY(16)
00752 #define EIGEN_ALIGN32 EIGEN_ALIGN_TO_BOUNDARY(32)
00753 #define EIGEN_ALIGN64 EIGEN_ALIGN_TO_BOUNDARY(64)
00754 #if EIGEN_MAX_STATIC_ALIGN_BYTES>0
00755 #define EIGEN_ALIGN_MAX EIGEN_ALIGN_TO_BOUNDARY(EIGEN_MAX_STATIC_ALIGN_BYTES)
00756 #else
00757 #define EIGEN_ALIGN_MAX
00758 #endif
00759 
00760 
00761 // Dynamic alignment control
00762 
00763 #if defined(EIGEN_DONT_ALIGN) && defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES>0
00764 #error EIGEN_MAX_ALIGN_BYTES and EIGEN_DONT_ALIGN are both defined with EIGEN_MAX_ALIGN_BYTES!=0. Use EIGEN_MAX_ALIGN_BYTES=0 as a synonym of EIGEN_DONT_ALIGN.
00765 #endif
00766 
00767 #ifdef EIGEN_DONT_ALIGN
00768   #ifdef EIGEN_MAX_ALIGN_BYTES
00769     #undef EIGEN_MAX_ALIGN_BYTES
00770   #endif
00771   #define EIGEN_MAX_ALIGN_BYTES 0
00772 #elif !defined(EIGEN_MAX_ALIGN_BYTES)
00773   #define EIGEN_MAX_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
00774 #endif
00775 
00776 #if EIGEN_IDEAL_MAX_ALIGN_BYTES > EIGEN_MAX_ALIGN_BYTES
00777 #define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
00778 #else
00779 #define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
00780 #endif
00781 
00782 
00783 #ifndef EIGEN_UNALIGNED_VECTORIZE
00784 #define EIGEN_UNALIGNED_VECTORIZE 1
00785 #endif
00786 
00787 //----------------------------------------------------------------------
00788 
00789 
00790 #ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
00791   #define EIGEN_RESTRICT
00792 #endif
00793 #ifndef EIGEN_RESTRICT
00794   #define EIGEN_RESTRICT __restrict
00795 #endif
00796 
00797 #ifndef EIGEN_STACK_ALLOCATION_LIMIT
00798 // 131072 == 128 KB
00799 #define EIGEN_STACK_ALLOCATION_LIMIT 131072
00800 #endif
00801 
00802 #ifndef EIGEN_DEFAULT_IO_FORMAT
00803 #ifdef EIGEN_MAKING_DOCS
00804 // format used in Eigen's documentation
00805 // needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
00806 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat(3, 0, " ", "\n", "", "")
00807 #else
00808 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
00809 #endif
00810 #endif
00811 
00812 // just an empty macro !
00813 #define EIGEN_EMPTY
00814 
00815 #if EIGEN_COMP_MSVC_STRICT && (EIGEN_COMP_MSVC < 1900 ||  defined(__CUDACC_VER__)) // for older MSVC versions, as well as 1900 && CUDA 8, using the base operator is sufficient (cf Bugs 1000, 1324)
00816   #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
00817     using Base::operator =;
00818 #elif EIGEN_COMP_CLANG // workaround clang bug (see http://forum.kde.org/viewtopic.php?f=74&t=102653)
00819   #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
00820     using Base::operator =; \
00821     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) { Base::operator=(other); return *this; } \
00822     template <typename OtherDerived> \
00823     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const DenseBase<OtherDerived>& other) { Base::operator=(other.derived()); return *this; }
00824 #else
00825   #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
00826     using Base::operator =; \
00827     EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) \
00828     { \
00829       Base::operator=(other); \
00830       return *this; \
00831     }
00832 #endif
00833 
00834 
00839 #define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived)
00840 
00849 #define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
00850   typedef typename Eigen::internal::traits<Derived>::Scalar Scalar;  \
00851   typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;  \
00852   typedef typename Base::CoeffReturnType CoeffReturnType;  \
00853   typedef typename Eigen::internal::ref_selector<Derived>::type Nested; \
00854   typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
00855   typedef typename Eigen::internal::traits<Derived>::StorageIndex StorageIndex; \
00856   enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
00857         ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
00858         Flags = Eigen::internal::traits<Derived>::Flags, \
00859         SizeAtCompileTime = Base::SizeAtCompileTime, \
00860         MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
00861         IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
00862   using Base::derived; \
00863   using Base::const_cast_derived;
00864 
00865 
00866 // FIXME Maybe the EIGEN_DENSE_PUBLIC_INTERFACE could be removed as importing PacketScalar is rarely needed
00867 #define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
00868   EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
00869   typedef typename Base::PacketScalar PacketScalar;
00870 
00871 
00872 #define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
00873 #define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
00874 
00875 // EIGEN_SIZE_MIN_PREFER_DYNAMIC gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
00876 // followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
00877 // finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
00878 #define EIGEN_SIZE_MIN_PREFER_DYNAMIC(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
00879                            : ((int)a == 1 || (int)b == 1) ? 1 \
00880                            : ((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
00881                            : ((int)a <= (int)b) ? (int)a : (int)b)
00882 
00883 // EIGEN_SIZE_MIN_PREFER_FIXED is a variant of EIGEN_SIZE_MIN_PREFER_DYNAMIC comparing MaxSizes. The difference is that finite values
00884 // now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
00885 // (between 0 and 3), it is not more than 3.
00886 #define EIGEN_SIZE_MIN_PREFER_FIXED(a,b)  (((int)a == 0 || (int)b == 0) ? 0 \
00887                            : ((int)a == 1 || (int)b == 1) ? 1 \
00888                            : ((int)a == Dynamic && (int)b == Dynamic) ? Dynamic \
00889                            : ((int)a == Dynamic) ? (int)b \
00890                            : ((int)b == Dynamic) ? (int)a \
00891                            : ((int)a <= (int)b) ? (int)a : (int)b)
00892 
00893 // see EIGEN_SIZE_MIN_PREFER_DYNAMIC. No need for a separate variant for MaxSizes here.
00894 #define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
00895                            : ((int)a >= (int)b) ? (int)a : (int)b)
00896 
00897 #define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
00898 
00899 #define EIGEN_IMPLIES(a,b) (!(a) || (b))
00900 
00901 // the expression type of a standard coefficient wise binary operation
00902 #define EIGEN_CWISE_BINARY_RETURN_TYPE(LHS,RHS,OPNAME) \
00903     CwiseBinaryOp< \
00904       EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)< \
00905           typename internal::traits<LHS>::Scalar, \
00906           typename internal::traits<RHS>::Scalar \
00907       >, \
00908       const LHS, \
00909       const RHS \
00910     >
00911 
00912 #define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,OPNAME) \
00913   template<typename OtherDerived> \
00914   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME) \
00915   (METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
00916   { \
00917     return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME)(derived(), other.derived()); \
00918   }
00919 
00920 #define EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,TYPEA,TYPEB) \
00921   (Eigen::internal::has_ReturnType<Eigen::ScalarBinaryOpTraits<TYPEA,TYPEB,EIGEN_CAT(EIGEN_CAT(Eigen::internal::scalar_,OPNAME),_op)<TYPEA,TYPEB>  > >::value)
00922 
00923 #define EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(EXPR,SCALAR,OPNAME) \
00924   CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<typename internal::traits<EXPR>::Scalar,SCALAR>, const EXPR, \
00925                 const typename internal::plain_constant_type<EXPR,SCALAR>::type>
00926 
00927 #define EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(SCALAR,EXPR,OPNAME) \
00928   CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<SCALAR,typename internal::traits<EXPR>::Scalar>, \
00929                 const typename internal::plain_constant_type<EXPR,SCALAR>::type, const EXPR>
00930 
00931 // Workaround for MSVC 2010 (see ML thread "patch with compile for for MSVC 2010")
00932 #if EIGEN_COMP_MSVC_STRICT<=1600
00933 #define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) typename internal::enable_if<true,X>::type
00934 #else
00935 #define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) X
00936 #endif
00937 
00938 #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME) \
00939   template <typename T> EIGEN_DEVICE_FUNC inline \
00940   EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,typename internal::promote_scalar_arg<Scalar EIGEN_COMMA T EIGEN_COMMA EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,Scalar,T)>::type,OPNAME))\
00941   (METHOD)(const T& scalar) const { \
00942     typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,Scalar,T)>::type PromotedT; \
00943     return EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,PromotedT,OPNAME)(derived(), \
00944            typename internal::plain_constant_type<Derived,PromotedT>::type(derived().rows(), derived().cols(), internal::scalar_constant_op<PromotedT>(scalar))); \
00945   }
00946 
00947 #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
00948   template <typename T> EIGEN_DEVICE_FUNC inline friend \
00949   EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(typename internal::promote_scalar_arg<Scalar EIGEN_COMMA T EIGEN_COMMA EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,T,Scalar)>::type,Derived,OPNAME)) \
00950   (METHOD)(const T& scalar, const StorageBaseType& matrix) { \
00951     typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,T,Scalar)>::type PromotedT; \
00952     return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedT,Derived,OPNAME)( \
00953            typename internal::plain_constant_type<Derived,PromotedT>::type(matrix.derived().rows(), matrix.derived().cols(), internal::scalar_constant_op<PromotedT>(scalar)), matrix.derived()); \
00954   }
00955 
00956 #define EIGEN_MAKE_SCALAR_BINARY_OP(METHOD,OPNAME) \
00957   EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
00958   EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME)
00959 
00960 
00961 #ifdef EIGEN_EXCEPTIONS
00962 #  define EIGEN_THROW_X(X) throw X
00963 #  define EIGEN_THROW throw
00964 #  define EIGEN_TRY try
00965 #  define EIGEN_CATCH(X) catch (X)
00966 #else
00967 #  ifdef __CUDA_ARCH__
00968 #    define EIGEN_THROW_X(X) asm("trap;")
00969 #    define EIGEN_THROW asm("trap;")
00970 #  else
00971 #    define EIGEN_THROW_X(X) std::abort()
00972 #    define EIGEN_THROW std::abort()
00973 #  endif
00974 #  define EIGEN_TRY if (true)
00975 #  define EIGEN_CATCH(X) else
00976 #endif
00977 
00978 
00979 #if EIGEN_HAS_CXX11_NOEXCEPT
00980 #   define EIGEN_INCLUDE_TYPE_TRAITS
00981 #   define EIGEN_NOEXCEPT noexcept
00982 #   define EIGEN_NOEXCEPT_IF(x) noexcept(x)
00983 #   define EIGEN_NO_THROW noexcept(true)
00984 #   define EIGEN_EXCEPTION_SPEC(X) noexcept(false)
00985 #else
00986 #   define EIGEN_NOEXCEPT
00987 #   define EIGEN_NOEXCEPT_IF(x)
00988 #   define EIGEN_NO_THROW throw()
00989 #   define EIGEN_EXCEPTION_SPEC(X) throw(X)
00990 #endif
00991 
00992 #endif // EIGEN_MACROS_H
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