1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008-2015 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@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 3
16#define EIGEN_MINOR_VERSION 3
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
22// Compiler identification, EIGEN_COMP_*
23
24/// \internal EIGEN_COMP_GNUC set to 1 for all compilers compatible with GCC
25#ifdef __GNUC__
26  #define EIGEN_COMP_GNUC 1
27#else
28  #define EIGEN_COMP_GNUC 0
29#endif
30
31/// \internal EIGEN_COMP_CLANG set to major+minor version (e.g., 307 for clang 3.7) if the compiler is clang
32#if defined(__clang__)
33  #define EIGEN_COMP_CLANG (__clang_major__*100+__clang_minor__)
34#else
35  #define EIGEN_COMP_CLANG 0
36#endif
37
38
39/// \internal EIGEN_COMP_LLVM set to 1 if the compiler backend is llvm
40#if defined(__llvm__)
41  #define EIGEN_COMP_LLVM 1
42#else
43  #define EIGEN_COMP_LLVM 0
44#endif
45
46/// \internal EIGEN_COMP_ICC set to __INTEL_COMPILER if the compiler is Intel compiler, 0 otherwise
47#if defined(__INTEL_COMPILER)
48  #define EIGEN_COMP_ICC __INTEL_COMPILER
49#else
50  #define EIGEN_COMP_ICC 0
51#endif
52
53/// \internal EIGEN_COMP_MINGW set to 1 if the compiler is mingw
54#if defined(__MINGW32__)
55  #define EIGEN_COMP_MINGW 1
56#else
57  #define EIGEN_COMP_MINGW 0
58#endif
59
60/// \internal EIGEN_COMP_SUNCC set to 1 if the compiler is Solaris Studio
61#if defined(__SUNPRO_CC)
62  #define EIGEN_COMP_SUNCC 1
63#else
64  #define EIGEN_COMP_SUNCC 0
65#endif
66
67/// \internal EIGEN_COMP_MSVC set to _MSC_VER if the compiler is Microsoft Visual C++, 0 otherwise.
68#if defined(_MSC_VER)
69  #define EIGEN_COMP_MSVC _MSC_VER
70#else
71  #define EIGEN_COMP_MSVC 0
72#endif
73
74// For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC:
75//  name  ver   MSC_VER
76//  2008    9      1500
77//  2010   10      1600
78//  2012   11      1700
79//  2013   12      1800
80//  2015   14      1900
81//  "15"   15      1900
82
83/// \internal EIGEN_COMP_MSVC_STRICT set to 1 if the compiler is really Microsoft Visual C++ and not ,e.g., ICC or clang-cl
84#if EIGEN_COMP_MSVC && !(EIGEN_COMP_ICC || EIGEN_COMP_LLVM || EIGEN_COMP_CLANG)
85  #define EIGEN_COMP_MSVC_STRICT _MSC_VER
86#else
87  #define EIGEN_COMP_MSVC_STRICT 0
88#endif
89
90/// \internal EIGEN_COMP_IBM set to 1 if the compiler is IBM XL C++
91#if defined(__IBMCPP__) || defined(__xlc__)
92  #define EIGEN_COMP_IBM 1
93#else
94  #define EIGEN_COMP_IBM 0
95#endif
96
97/// \internal EIGEN_COMP_PGI set to 1 if the compiler is Portland Group Compiler
98#if defined(__PGI)
99  #define EIGEN_COMP_PGI 1
100#else
101  #define EIGEN_COMP_PGI 0
102#endif
103
104/// \internal EIGEN_COMP_ARM set to 1 if the compiler is ARM Compiler
105#if defined(__CC_ARM) || defined(__ARMCC_VERSION)
106  #define EIGEN_COMP_ARM 1
107#else
108  #define EIGEN_COMP_ARM 0
109#endif
110
111/// \internal EIGEN_COMP_ARM set to 1 if the compiler is ARM Compiler
112#if defined(__EMSCRIPTEN__)
113  #define EIGEN_COMP_EMSCRIPTEN 1
114#else
115  #define EIGEN_COMP_EMSCRIPTEN 0
116#endif
117
118
119/// \internal EIGEN_GNUC_STRICT set to 1 if the compiler is really GCC and not a compatible compiler (e.g., ICC, clang, mingw, etc.)
120#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)
121  #define EIGEN_COMP_GNUC_STRICT 1
122#else
123  #define EIGEN_COMP_GNUC_STRICT 0
124#endif
125
126
127#if EIGEN_COMP_GNUC
128  #define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__==x && __GNUC_MINOR__>=y) || __GNUC__>x)
129  #define EIGEN_GNUC_AT_MOST(x,y)  ((__GNUC__==x && __GNUC_MINOR__<=y) || __GNUC__<x)
130  #define EIGEN_GNUC_AT(x,y)       ( __GNUC__==x && __GNUC_MINOR__==y )
131#else
132  #define EIGEN_GNUC_AT_LEAST(x,y) 0
133  #define EIGEN_GNUC_AT_MOST(x,y)  0
134  #define EIGEN_GNUC_AT(x,y)       0
135#endif
136
137// FIXME: could probably be removed as we do not support gcc 3.x anymore
138#if EIGEN_COMP_GNUC && (__GNUC__ <= 3)
139#define EIGEN_GCC3_OR_OLDER 1
140#else
141#define EIGEN_GCC3_OR_OLDER 0
142#endif
143
144
145// Architecture identification, EIGEN_ARCH_*
146
147#if defined(__x86_64__) || defined(_M_X64) || defined(__amd64)
148  #define EIGEN_ARCH_x86_64 1
149#else
150  #define EIGEN_ARCH_x86_64 0
151#endif
152
153#if defined(__i386__) || defined(_M_IX86) || defined(_X86_) || defined(__i386)
154  #define EIGEN_ARCH_i386 1
155#else
156  #define EIGEN_ARCH_i386 0
157#endif
158
159#if EIGEN_ARCH_x86_64 || EIGEN_ARCH_i386
160  #define EIGEN_ARCH_i386_OR_x86_64 1
161#else
162  #define EIGEN_ARCH_i386_OR_x86_64 0
163#endif
164
165/// \internal EIGEN_ARCH_ARM set to 1 if the architecture is ARM
166#if defined(__arm__)
167  #define EIGEN_ARCH_ARM 1
168#else
169  #define EIGEN_ARCH_ARM 0
170#endif
171
172/// \internal EIGEN_ARCH_ARM64 set to 1 if the architecture is ARM64
173#if defined(__aarch64__)
174  #define EIGEN_ARCH_ARM64 1
175#else
176  #define EIGEN_ARCH_ARM64 0
177#endif
178
179#if EIGEN_ARCH_ARM || EIGEN_ARCH_ARM64
180  #define EIGEN_ARCH_ARM_OR_ARM64 1
181#else
182  #define EIGEN_ARCH_ARM_OR_ARM64 0
183#endif
184
185/// \internal EIGEN_ARCH_MIPS set to 1 if the architecture is MIPS
186#if defined(__mips__) || defined(__mips)
187  #define EIGEN_ARCH_MIPS 1
188#else
189  #define EIGEN_ARCH_MIPS 0
190#endif
191
192/// \internal EIGEN_ARCH_SPARC set to 1 if the architecture is SPARC
193#if defined(__sparc__) || defined(__sparc)
194  #define EIGEN_ARCH_SPARC 1
195#else
196  #define EIGEN_ARCH_SPARC 0
197#endif
198
199/// \internal EIGEN_ARCH_IA64 set to 1 if the architecture is Intel Itanium
200#if defined(__ia64__)
201  #define EIGEN_ARCH_IA64 1
202#else
203  #define EIGEN_ARCH_IA64 0
204#endif
205
206/// \internal EIGEN_ARCH_PPC set to 1 if the architecture is PowerPC
207#if defined(__powerpc__) || defined(__ppc__) || defined(_M_PPC)
208  #define EIGEN_ARCH_PPC 1
209#else
210  #define EIGEN_ARCH_PPC 0
211#endif
212
213
214
215// Operating system identification, EIGEN_OS_*
216
217/// \internal EIGEN_OS_UNIX set to 1 if the OS is a unix variant
218#if defined(__unix__) || defined(__unix)
219  #define EIGEN_OS_UNIX 1
220#else
221  #define EIGEN_OS_UNIX 0
222#endif
223
224/// \internal EIGEN_OS_LINUX set to 1 if the OS is based on Linux kernel
225#if defined(__linux__)
226  #define EIGEN_OS_LINUX 1
227#else
228  #define EIGEN_OS_LINUX 0
229#endif
230
231/// \internal EIGEN_OS_ANDROID set to 1 if the OS is Android
232// note: ANDROID is defined when using ndk_build, __ANDROID__ is defined when using a standalone toolchain.
233#if defined(__ANDROID__) || defined(ANDROID)
234  #define EIGEN_OS_ANDROID 1
235#else
236  #define EIGEN_OS_ANDROID 0
237#endif
238
239/// \internal EIGEN_OS_GNULINUX set to 1 if the OS is GNU Linux and not Linux-based OS (e.g., not android)
240#if defined(__gnu_linux__) && !(EIGEN_OS_ANDROID)
241  #define EIGEN_OS_GNULINUX 1
242#else
243  #define EIGEN_OS_GNULINUX 0
244#endif
245
246/// \internal EIGEN_OS_BSD set to 1 if the OS is a BSD variant
247#if defined(__FreeBSD__) || defined(__NetBSD__) || defined(__OpenBSD__) || defined(__bsdi__) || defined(__DragonFly__)
248  #define EIGEN_OS_BSD 1
249#else
250  #define EIGEN_OS_BSD 0
251#endif
252
253/// \internal EIGEN_OS_MAC set to 1 if the OS is MacOS
254#if defined(__APPLE__)
255  #define EIGEN_OS_MAC 1
256#else
257  #define EIGEN_OS_MAC 0
258#endif
259
260/// \internal EIGEN_OS_QNX set to 1 if the OS is QNX
261#if defined(__QNX__)
262  #define EIGEN_OS_QNX 1
263#else
264  #define EIGEN_OS_QNX 0
265#endif
266
267/// \internal EIGEN_OS_WIN set to 1 if the OS is Windows based
268#if defined(_WIN32)
269  #define EIGEN_OS_WIN 1
270#else
271  #define EIGEN_OS_WIN 0
272#endif
273
274/// \internal EIGEN_OS_WIN64 set to 1 if the OS is Windows 64bits
275#if defined(_WIN64)
276  #define EIGEN_OS_WIN64 1
277#else
278  #define EIGEN_OS_WIN64 0
279#endif
280
281/// \internal EIGEN_OS_WINCE set to 1 if the OS is Windows CE
282#if defined(_WIN32_WCE)
283  #define EIGEN_OS_WINCE 1
284#else
285  #define EIGEN_OS_WINCE 0
286#endif
287
288/// \internal EIGEN_OS_CYGWIN set to 1 if the OS is Windows/Cygwin
289#if defined(__CYGWIN__)
290  #define EIGEN_OS_CYGWIN 1
291#else
292  #define EIGEN_OS_CYGWIN 0
293#endif
294
295/// \internal EIGEN_OS_WIN_STRICT set to 1 if the OS is really Windows and not some variants
296#if EIGEN_OS_WIN && !( EIGEN_OS_WINCE || EIGEN_OS_CYGWIN )
297  #define EIGEN_OS_WIN_STRICT 1
298#else
299  #define EIGEN_OS_WIN_STRICT 0
300#endif
301
302/// \internal EIGEN_OS_SUN set to 1 if the OS is SUN
303#if (defined(sun) || defined(__sun)) && !(defined(__SVR4) || defined(__svr4__))
304  #define EIGEN_OS_SUN 1
305#else
306  #define EIGEN_OS_SUN 0
307#endif
308
309/// \internal EIGEN_OS_SOLARIS set to 1 if the OS is Solaris
310#if (defined(sun) || defined(__sun)) && (defined(__SVR4) || defined(__svr4__))
311  #define EIGEN_OS_SOLARIS 1
312#else
313  #define EIGEN_OS_SOLARIS 0
314#endif
315
316
317
318#if EIGEN_GNUC_AT_MOST(4,3) && !EIGEN_COMP_CLANG
319  // see bug 89
320  #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 0
321#else
322  #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 1
323#endif
324
325// This macro can be used to prevent from macro expansion, e.g.:
326//   std::max EIGEN_NOT_A_MACRO(a,b)
327#define EIGEN_NOT_A_MACRO
328
329#ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
330#define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::RowMajor
331#else
332#define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::ColMajor
333#endif
334
335#ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
336#define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
337#endif
338
339// Cross compiler wrapper around LLVM's __has_builtin
340#ifdef __has_builtin
341#  define EIGEN_HAS_BUILTIN(x) __has_builtin(x)
342#else
343#  define EIGEN_HAS_BUILTIN(x) 0
344#endif
345
346// A Clang feature extension to determine compiler features.
347// We use it to determine 'cxx_rvalue_references'
348#ifndef __has_feature
349# define __has_feature(x) 0
350#endif
351
352// Upperbound on the C++ version to use.
353// Expected values are 03, 11, 14, 17, etc.
354// By default, let's use an arbitrarily large C++ version.
355#ifndef EIGEN_MAX_CPP_VER
356#define EIGEN_MAX_CPP_VER 99
357#endif
358
359#if EIGEN_MAX_CPP_VER>=11 && (defined(__cplusplus) && (__cplusplus >= 201103L) || EIGEN_COMP_MSVC >= 1900)
360#define EIGEN_HAS_CXX11 1
361#else
362#define EIGEN_HAS_CXX11 0
363#endif
364
365
366// Do we support r-value references?
367#ifndef EIGEN_HAS_RVALUE_REFERENCES
368#if EIGEN_MAX_CPP_VER>=11 && \
369    (__has_feature(cxx_rvalue_references) || \
370    (defined(__cplusplus) && __cplusplus >= 201103L) || \
371    (EIGEN_COMP_MSVC >= 1600))
372  #define EIGEN_HAS_RVALUE_REFERENCES 1
373#else
374  #define EIGEN_HAS_RVALUE_REFERENCES 0
375#endif
376#endif
377
378// Does the compiler support C99?
379#ifndef EIGEN_HAS_C99_MATH
380#if EIGEN_MAX_CPP_VER>=11 && \
381    ((defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901))       \
382  || (defined(__GNUC__) && defined(_GLIBCXX_USE_C99)) \
383  || (defined(_LIBCPP_VERSION) && !defined(_MSC_VER)))
384  #define EIGEN_HAS_C99_MATH 1
385#else
386  #define EIGEN_HAS_C99_MATH 0
387#endif
388#endif
389
390// Does the compiler support result_of?
391#ifndef EIGEN_HAS_STD_RESULT_OF
392#if EIGEN_MAX_CPP_VER>=11 && ((__has_feature(cxx_lambdas) || (defined(__cplusplus) && __cplusplus >= 201103L)))
393#define EIGEN_HAS_STD_RESULT_OF 1
394#else
395#define EIGEN_HAS_STD_RESULT_OF 0
396#endif
397#endif
398
399// Does the compiler support variadic templates?
400#ifndef EIGEN_HAS_VARIADIC_TEMPLATES
401#if EIGEN_MAX_CPP_VER>=11 && (__cplusplus > 199711L || EIGEN_COMP_MSVC >= 1900) \
402  && ( !defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64 || (defined __CUDACC_VER__ && __CUDACC_VER__ >= 80000) )
403    // ^^ Disable the use of variadic templates when compiling with versions of nvcc older than 8.0 on ARM devices:
404    //    this prevents nvcc from crashing when compiling Eigen on Tegra X1
405#define EIGEN_HAS_VARIADIC_TEMPLATES 1
406#else
407#define EIGEN_HAS_VARIADIC_TEMPLATES 0
408#endif
409#endif
410
411// Does the compiler fully support const expressions? (as in c++14)
412#ifndef EIGEN_HAS_CONSTEXPR
413
414#ifdef __CUDACC__
415// Const expressions are supported provided that c++11 is enabled and we're using either clang or nvcc 7.5 or above
416#if EIGEN_MAX_CPP_VER>=14 && (__cplusplus > 199711L && defined(__CUDACC_VER__) && (EIGEN_COMP_CLANG || __CUDACC_VER__ >= 70500))
417  #define EIGEN_HAS_CONSTEXPR 1
418#endif
419#elif EIGEN_MAX_CPP_VER>=14 && (__has_feature(cxx_relaxed_constexpr) || (defined(__cplusplus) && __cplusplus >= 201402L) || \
420  (EIGEN_GNUC_AT_LEAST(4,8) && (__cplusplus > 199711L)))
421#define EIGEN_HAS_CONSTEXPR 1
422#endif
423
424#ifndef EIGEN_HAS_CONSTEXPR
425#define EIGEN_HAS_CONSTEXPR 0
426#endif
427
428#endif
429
430// Does the compiler support C++11 math?
431// Let's be conservative and enable the default C++11 implementation only if we are sure it exists
432#ifndef EIGEN_HAS_CXX11_MATH
433  #if EIGEN_MAX_CPP_VER>=11 && ((__cplusplus > 201103L) || (__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC)  \
434      && (EIGEN_ARCH_i386_OR_x86_64) && (EIGEN_OS_GNULINUX || EIGEN_OS_WIN_STRICT || EIGEN_OS_MAC))
435    #define EIGEN_HAS_CXX11_MATH 1
436  #else
437    #define EIGEN_HAS_CXX11_MATH 0
438  #endif
439#endif
440
441// Does the compiler support proper C++11 containers?
442#ifndef EIGEN_HAS_CXX11_CONTAINERS
443  #if    EIGEN_MAX_CPP_VER>=11 && \
444         ((__cplusplus > 201103L) \
445      || ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
446      || EIGEN_COMP_MSVC >= 1900)
447    #define EIGEN_HAS_CXX11_CONTAINERS 1
448  #else
449    #define EIGEN_HAS_CXX11_CONTAINERS 0
450  #endif
451#endif
452
453// Does the compiler support C++11 noexcept?
454#ifndef EIGEN_HAS_CXX11_NOEXCEPT
455  #if    EIGEN_MAX_CPP_VER>=11 && \
456         (__has_feature(cxx_noexcept) \
457      || (__cplusplus > 201103L) \
458      || ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
459      || EIGEN_COMP_MSVC >= 1900)
460    #define EIGEN_HAS_CXX11_NOEXCEPT 1
461  #else
462    #define EIGEN_HAS_CXX11_NOEXCEPT 0
463  #endif
464#endif
465
466/** Allows to disable some optimizations which might affect the accuracy of the result.
467  * Such optimization are enabled by default, and set EIGEN_FAST_MATH to 0 to disable them.
468  * They currently include:
469  *   - single precision ArrayBase::sin() and ArrayBase::cos() for SSE and AVX vectorization.
470  */
471#ifndef EIGEN_FAST_MATH
472#define EIGEN_FAST_MATH 1
473#endif
474
475#define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
476
477// concatenate two tokens
478#define EIGEN_CAT2(a,b) a ## b
479#define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
480
481#define EIGEN_COMMA ,
482
483// convert a token to a string
484#define EIGEN_MAKESTRING2(a) #a
485#define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
486
487// EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC,
488// but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline
489// but GCC is still doing fine with just inline.
490#if EIGEN_COMP_MSVC || EIGEN_COMP_ICC
491#define EIGEN_STRONG_INLINE __forceinline
492#else
493#define EIGEN_STRONG_INLINE inline
494#endif
495
496// EIGEN_ALWAYS_INLINE is the stronget, it has the effect of making the function inline and adding every possible
497// attribute to maximize inlining. This should only be used when really necessary: in particular,
498// it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times.
499// FIXME with the always_inline attribute,
500// gcc 3.4.x and 4.1 reports the following compilation error:
501//   Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
502//    : function body not available
503//   See also bug 1367
504#if EIGEN_GNUC_AT_LEAST(4,2)
505#define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline
506#else
507#define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE
508#endif
509
510#if EIGEN_COMP_GNUC
511#define EIGEN_DONT_INLINE __attribute__((noinline))
512#elif EIGEN_COMP_MSVC
513#define EIGEN_DONT_INLINE __declspec(noinline)
514#else
515#define EIGEN_DONT_INLINE
516#endif
517
518#if EIGEN_COMP_GNUC
519#define EIGEN_PERMISSIVE_EXPR __extension__
520#else
521#define EIGEN_PERMISSIVE_EXPR
522#endif
523
524// this macro allows to get rid of linking errors about multiply defined functions.
525//  - static is not very good because it prevents definitions from different object files to be merged.
526//           So static causes the resulting linked executable to be bloated with multiple copies of the same function.
527//  - inline is not perfect either as it unwantedly hints the compiler toward inlining the function.
528#define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
529#define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS inline
530
531#ifdef NDEBUG
532# ifndef EIGEN_NO_DEBUG
533#  define EIGEN_NO_DEBUG
534# endif
535#endif
536
537// eigen_plain_assert is where we implement the workaround for the assert() bug in GCC <= 4.3, see bug 89
538#ifdef EIGEN_NO_DEBUG
539  #define eigen_plain_assert(x)
540#else
541  #if EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO
542    namespace Eigen {
543    namespace internal {
544    inline bool copy_bool(bool b) { return b; }
545    }
546    }
547    #define eigen_plain_assert(x) assert(x)
548  #else
549    // work around bug 89
550    #include <cstdlib>   // for abort
551    #include <iostream>  // for std::cerr
552
553    namespace Eigen {
554    namespace internal {
555    // trivial function copying a bool. Must be EIGEN_DONT_INLINE, so we implement it after including Eigen headers.
556    // see bug 89.
557    namespace {
558    EIGEN_DONT_INLINE bool copy_bool(bool b) { return b; }
559    }
560    inline void assert_fail(const char *condition, const char *function, const char *file, int line)
561    {
562      std::cerr << "assertion failed: " << condition << " in function " << function << " at " << file << ":" << line << std::endl;
563      abort();
564    }
565    }
566    }
567    #define eigen_plain_assert(x) \
568      do { \
569        if(!Eigen::internal::copy_bool(x)) \
570          Eigen::internal::assert_fail(EIGEN_MAKESTRING(x), __PRETTY_FUNCTION__, __FILE__, __LINE__); \
571      } while(false)
572  #endif
573#endif
574
575// eigen_assert can be overridden
576#ifndef eigen_assert
577#define eigen_assert(x) eigen_plain_assert(x)
578#endif
579
580#ifdef EIGEN_INTERNAL_DEBUGGING
581#define eigen_internal_assert(x) eigen_assert(x)
582#else
583#define eigen_internal_assert(x)
584#endif
585
586#ifdef EIGEN_NO_DEBUG
587#define EIGEN_ONLY_USED_FOR_DEBUG(x) EIGEN_UNUSED_VARIABLE(x)
588#else
589#define EIGEN_ONLY_USED_FOR_DEBUG(x)
590#endif
591
592#ifndef EIGEN_NO_DEPRECATED_WARNING
593  #if EIGEN_COMP_GNUC
594    #define EIGEN_DEPRECATED __attribute__((deprecated))
595  #elif EIGEN_COMP_MSVC
596    #define EIGEN_DEPRECATED __declspec(deprecated)
597  #else
598    #define EIGEN_DEPRECATED
599  #endif
600#else
601  #define EIGEN_DEPRECATED
602#endif
603
604#if EIGEN_COMP_GNUC
605#define EIGEN_UNUSED __attribute__((unused))
606#else
607#define EIGEN_UNUSED
608#endif
609
610// Suppresses 'unused variable' warnings.
611namespace Eigen {
612  namespace internal {
613    template<typename T> EIGEN_DEVICE_FUNC void ignore_unused_variable(const T&) {}
614  }
615}
616#define EIGEN_UNUSED_VARIABLE(var) Eigen::internal::ignore_unused_variable(var);
617
618#if !defined(EIGEN_ASM_COMMENT)
619  #if EIGEN_COMP_GNUC && (EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64)
620    #define EIGEN_ASM_COMMENT(X)  __asm__("#" X)
621  #else
622    #define EIGEN_ASM_COMMENT(X)
623  #endif
624#endif
625
626
627//------------------------------------------------------------------------------------------
628// Static and dynamic alignment control
629//
630// The main purpose of this section is to define EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES
631// as the maximal boundary in bytes on which dynamically and statically allocated data may be alignment respectively.
632// The values of EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES can be specified by the user. If not,
633// a default value is automatically computed based on architecture, compiler, and OS.
634//
635// This section also defines macros EIGEN_ALIGN_TO_BOUNDARY(N) and the shortcuts EIGEN_ALIGN{8,16,32,_MAX}
636// to be used to declare statically aligned buffers.
637//------------------------------------------------------------------------------------------
638
639
640/* EIGEN_ALIGN_TO_BOUNDARY(n) forces data to be n-byte aligned. This is used to satisfy SIMD requirements.
641 * However, we do that EVEN if vectorization (EIGEN_VECTORIZE) is disabled,
642 * so that vectorization doesn't affect binary compatibility.
643 *
644 * If we made alignment depend on whether or not EIGEN_VECTORIZE is defined, it would be impossible to link
645 * vectorized and non-vectorized code.
646 */
647#if (defined __CUDACC__)
648  #define EIGEN_ALIGN_TO_BOUNDARY(n) __align__(n)
649#elif EIGEN_COMP_GNUC || EIGEN_COMP_PGI || EIGEN_COMP_IBM || EIGEN_COMP_ARM
650  #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
651#elif EIGEN_COMP_MSVC
652  #define EIGEN_ALIGN_TO_BOUNDARY(n) __declspec(align(n))
653#elif EIGEN_COMP_SUNCC
654  // FIXME not sure about this one:
655  #define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
656#else
657  #error Please tell me what is the equivalent of __attribute__((aligned(n))) for your compiler
658#endif
659
660// If the user explicitly disable vectorization, then we also disable alignment
661#if defined(EIGEN_DONT_VECTORIZE)
662  #define EIGEN_IDEAL_MAX_ALIGN_BYTES 0
663#elif defined(EIGEN_VECTORIZE_AVX512)
664  // 64 bytes static alignmeent is preferred only if really required
665  #define EIGEN_IDEAL_MAX_ALIGN_BYTES 64
666#elif defined(__AVX__)
667  // 32 bytes static alignmeent is preferred only if really required
668  #define EIGEN_IDEAL_MAX_ALIGN_BYTES 32
669#else
670  #define EIGEN_IDEAL_MAX_ALIGN_BYTES 16
671#endif
672
673
674// EIGEN_MIN_ALIGN_BYTES defines the minimal value for which the notion of explicit alignment makes sense
675#define EIGEN_MIN_ALIGN_BYTES 16
676
677// Defined the boundary (in bytes) on which the data needs to be aligned. Note
678// that unless EIGEN_ALIGN is defined and not equal to 0, the data may not be
679// aligned at all regardless of the value of this #define.
680
681#if (defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN))  && defined(EIGEN_MAX_STATIC_ALIGN_BYTES) && EIGEN_MAX_STATIC_ALIGN_BYTES>0
682#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.
683#endif
684
685// EIGEN_DONT_ALIGN_STATICALLY and EIGEN_DONT_ALIGN are deprectated
686// They imply EIGEN_MAX_STATIC_ALIGN_BYTES=0
687#if defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN)
688  #ifdef EIGEN_MAX_STATIC_ALIGN_BYTES
689    #undef EIGEN_MAX_STATIC_ALIGN_BYTES
690  #endif
691  #define EIGEN_MAX_STATIC_ALIGN_BYTES 0
692#endif
693
694#ifndef EIGEN_MAX_STATIC_ALIGN_BYTES
695
696  // Try to automatically guess what is the best default value for EIGEN_MAX_STATIC_ALIGN_BYTES
697
698  // 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable
699  // 16 byte alignment on all platforms where vectorization might be enabled. In theory we could always
700  // enable alignment, but it can be a cause of problems on some platforms, so we just disable it in
701  // certain common platform (compiler+architecture combinations) to avoid these problems.
702  // Only static alignment is really problematic (relies on nonstandard compiler extensions),
703  // try to keep heap alignment even when we have to disable static alignment.
704  #if EIGEN_COMP_GNUC && !(EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64 || EIGEN_ARCH_PPC || EIGEN_ARCH_IA64)
705  #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
706  #elif EIGEN_ARCH_ARM_OR_ARM64 && EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_MOST(4, 6)
707  // Old versions of GCC on ARM, at least 4.4, were once seen to have buggy static alignment support.
708  // Not sure which version fixed it, hopefully it doesn't affect 4.7, which is still somewhat in use.
709  // 4.8 and newer seem definitely unaffected.
710  #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
711  #else
712  #define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 0
713  #endif
714
715  // static alignment is completely disabled with GCC 3, Sun Studio, and QCC/QNX
716  #if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT \
717  && !EIGEN_GCC3_OR_OLDER \
718  && !EIGEN_COMP_SUNCC \
719  && !EIGEN_OS_QNX
720    #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 1
721  #else
722    #define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 0
723  #endif
724
725  #if EIGEN_ARCH_WANTS_STACK_ALIGNMENT
726    #define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
727  #else
728    #define EIGEN_MAX_STATIC_ALIGN_BYTES 0
729  #endif
730
731#endif
732
733// If EIGEN_MAX_ALIGN_BYTES is defined, then it is considered as an upper bound for EIGEN_MAX_ALIGN_BYTES
734#if defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES<EIGEN_MAX_STATIC_ALIGN_BYTES
735#undef EIGEN_MAX_STATIC_ALIGN_BYTES
736#define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
737#endif
738
739#if EIGEN_MAX_STATIC_ALIGN_BYTES==0 && !defined(EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT)
740  #define EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
741#endif
742
743// At this stage, EIGEN_MAX_STATIC_ALIGN_BYTES>0 is the true test whether we want to align arrays on the stack or not.
744// It takes into account both the user choice to explicitly enable/disable alignment (by settting EIGEN_MAX_STATIC_ALIGN_BYTES)
745// and the architecture config (EIGEN_ARCH_WANTS_STACK_ALIGNMENT).
746// Henceforth, only EIGEN_MAX_STATIC_ALIGN_BYTES should be used.
747
748
749// Shortcuts to EIGEN_ALIGN_TO_BOUNDARY
750#define EIGEN_ALIGN8  EIGEN_ALIGN_TO_BOUNDARY(8)
751#define EIGEN_ALIGN16 EIGEN_ALIGN_TO_BOUNDARY(16)
752#define EIGEN_ALIGN32 EIGEN_ALIGN_TO_BOUNDARY(32)
753#define EIGEN_ALIGN64 EIGEN_ALIGN_TO_BOUNDARY(64)
754#if EIGEN_MAX_STATIC_ALIGN_BYTES>0
755#define EIGEN_ALIGN_MAX EIGEN_ALIGN_TO_BOUNDARY(EIGEN_MAX_STATIC_ALIGN_BYTES)
756#else
757#define EIGEN_ALIGN_MAX
758#endif
759
760
761// Dynamic alignment control
762
763#if defined(EIGEN_DONT_ALIGN) && defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES>0
764#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.
765#endif
766
767#ifdef EIGEN_DONT_ALIGN
768  #ifdef EIGEN_MAX_ALIGN_BYTES
769    #undef EIGEN_MAX_ALIGN_BYTES
770  #endif
771  #define EIGEN_MAX_ALIGN_BYTES 0
772#elif !defined(EIGEN_MAX_ALIGN_BYTES)
773  #define EIGEN_MAX_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
774#endif
775
776#if EIGEN_IDEAL_MAX_ALIGN_BYTES > EIGEN_MAX_ALIGN_BYTES
777#define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
778#else
779#define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
780#endif
781
782
783#ifndef EIGEN_UNALIGNED_VECTORIZE
784#define EIGEN_UNALIGNED_VECTORIZE 1
785#endif
786
787//----------------------------------------------------------------------
788
789
790#ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
791  #define EIGEN_RESTRICT
792#endif
793#ifndef EIGEN_RESTRICT
794  #define EIGEN_RESTRICT __restrict
795#endif
796
797#ifndef EIGEN_STACK_ALLOCATION_LIMIT
798// 131072 == 128 KB
799#define EIGEN_STACK_ALLOCATION_LIMIT 131072
800#endif
801
802#ifndef EIGEN_DEFAULT_IO_FORMAT
803#ifdef EIGEN_MAKING_DOCS
804// format used in Eigen's documentation
805// needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
806#define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat(3, 0, " ", "\n", "", "")
807#else
808#define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
809#endif
810#endif
811
812// just an empty macro !
813#define EIGEN_EMPTY
814
815#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)
816  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
817    using Base::operator =;
818#elif EIGEN_COMP_CLANG // workaround clang bug (see http://forum.kde.org/viewtopic.php?f=74&t=102653)
819  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
820    using Base::operator =; \
821    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) { Base::operator=(other); return *this; } \
822    template <typename OtherDerived> \
823    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const DenseBase<OtherDerived>& other) { Base::operator=(other.derived()); return *this; }
824#else
825  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
826    using Base::operator =; \
827    EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) \
828    { \
829      Base::operator=(other); \
830      return *this; \
831    }
832#endif
833
834
835/** \internal
836 * \brief Macro to manually inherit assignment operators.
837 * This is necessary, because the implicitly defined assignment operator gets deleted when a custom operator= is defined.
838 */
839#define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived)
840
841/**
842* Just a side note. Commenting within defines works only by documenting
843* behind the object (via '!<'). Comments cannot be multi-line and thus
844* we have these extra long lines. What is confusing doxygen over here is
845* that we use '\' and basically have a bunch of typedefs with their
846* documentation in a single line.
847**/
848
849#define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
850  typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
851  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. */ \
852  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. */ \
853  typedef typename Eigen::internal::ref_selector<Derived>::type Nested; \
854  typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
855  typedef typename Eigen::internal::traits<Derived>::StorageIndex StorageIndex; \
856  enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
857        ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
858        Flags = Eigen::internal::traits<Derived>::Flags, \
859        SizeAtCompileTime = Base::SizeAtCompileTime, \
860        MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
861        IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
862  using Base::derived; \
863  using Base::const_cast_derived;
864
865
866// FIXME Maybe the EIGEN_DENSE_PUBLIC_INTERFACE could be removed as importing PacketScalar is rarely needed
867#define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
868  EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
869  typedef typename Base::PacketScalar PacketScalar;
870
871
872#define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
873#define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
874
875// EIGEN_SIZE_MIN_PREFER_DYNAMIC gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
876// followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
877// finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
878#define EIGEN_SIZE_MIN_PREFER_DYNAMIC(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
879                           : ((int)a == 1 || (int)b == 1) ? 1 \
880                           : ((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
881                           : ((int)a <= (int)b) ? (int)a : (int)b)
882
883// EIGEN_SIZE_MIN_PREFER_FIXED is a variant of EIGEN_SIZE_MIN_PREFER_DYNAMIC comparing MaxSizes. The difference is that finite values
884// now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
885// (between 0 and 3), it is not more than 3.
886#define EIGEN_SIZE_MIN_PREFER_FIXED(a,b)  (((int)a == 0 || (int)b == 0) ? 0 \
887                           : ((int)a == 1 || (int)b == 1) ? 1 \
888                           : ((int)a == Dynamic && (int)b == Dynamic) ? Dynamic \
889                           : ((int)a == Dynamic) ? (int)b \
890                           : ((int)b == Dynamic) ? (int)a \
891                           : ((int)a <= (int)b) ? (int)a : (int)b)
892
893// see EIGEN_SIZE_MIN_PREFER_DYNAMIC. No need for a separate variant for MaxSizes here.
894#define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
895                           : ((int)a >= (int)b) ? (int)a : (int)b)
896
897#define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
898
899#define EIGEN_IMPLIES(a,b) (!(a) || (b))
900
901// the expression type of a standard coefficient wise binary operation
902#define EIGEN_CWISE_BINARY_RETURN_TYPE(LHS,RHS,OPNAME) \
903    CwiseBinaryOp< \
904      EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)< \
905          typename internal::traits<LHS>::Scalar, \
906          typename internal::traits<RHS>::Scalar \
907      >, \
908      const LHS, \
909      const RHS \
910    >
911
912#define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,OPNAME) \
913  template<typename OtherDerived> \
914  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME) \
915  (METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
916  { \
917    return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME)(derived(), other.derived()); \
918  }
919
920#define EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,TYPEA,TYPEB) \
921  (Eigen::internal::has_ReturnType<Eigen::ScalarBinaryOpTraits<TYPEA,TYPEB,EIGEN_CAT(EIGEN_CAT(Eigen::internal::scalar_,OPNAME),_op)<TYPEA,TYPEB>  > >::value)
922
923#define EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(EXPR,SCALAR,OPNAME) \
924  CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<typename internal::traits<EXPR>::Scalar,SCALAR>, const EXPR, \
925                const typename internal::plain_constant_type<EXPR,SCALAR>::type>
926
927#define EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(SCALAR,EXPR,OPNAME) \
928  CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<SCALAR,typename internal::traits<EXPR>::Scalar>, \
929                const typename internal::plain_constant_type<EXPR,SCALAR>::type, const EXPR>
930
931// Workaround for MSVC 2010 (see ML thread "patch with compile for for MSVC 2010")
932#if EIGEN_COMP_MSVC_STRICT<=1600
933#define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) typename internal::enable_if<true,X>::type
934#else
935#define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) X
936#endif
937
938#define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME) \
939  template <typename T> EIGEN_DEVICE_FUNC inline \
940  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))\
941  (METHOD)(const T& scalar) const { \
942    typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,Scalar,T)>::type PromotedT; \
943    return EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,PromotedT,OPNAME)(derived(), \
944           typename internal::plain_constant_type<Derived,PromotedT>::type(derived().rows(), derived().cols(), internal::scalar_constant_op<PromotedT>(scalar))); \
945  }
946
947#define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
948  template <typename T> EIGEN_DEVICE_FUNC inline friend \
949  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)) \
950  (METHOD)(const T& scalar, const StorageBaseType& matrix) { \
951    typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,T,Scalar)>::type PromotedT; \
952    return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedT,Derived,OPNAME)( \
953           typename internal::plain_constant_type<Derived,PromotedT>::type(matrix.derived().rows(), matrix.derived().cols(), internal::scalar_constant_op<PromotedT>(scalar)), matrix.derived()); \
954  }
955
956#define EIGEN_MAKE_SCALAR_BINARY_OP(METHOD,OPNAME) \
957  EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
958  EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME)
959
960
961#ifdef EIGEN_EXCEPTIONS
962#  define EIGEN_THROW_X(X) throw X
963#  define EIGEN_THROW throw
964#  define EIGEN_TRY try
965#  define EIGEN_CATCH(X) catch (X)
966#else
967#  ifdef __CUDA_ARCH__
968#    define EIGEN_THROW_X(X) asm("trap;")
969#    define EIGEN_THROW asm("trap;")
970#  else
971#    define EIGEN_THROW_X(X) std::abort()
972#    define EIGEN_THROW std::abort()
973#  endif
974#  define EIGEN_TRY if (true)
975#  define EIGEN_CATCH(X) else
976#endif
977
978
979#if EIGEN_HAS_CXX11_NOEXCEPT
980#   define EIGEN_INCLUDE_TYPE_TRAITS
981#   define EIGEN_NOEXCEPT noexcept
982#   define EIGEN_NOEXCEPT_IF(x) noexcept(x)
983#   define EIGEN_NO_THROW noexcept(true)
984#   define EIGEN_EXCEPTION_SPEC(X) noexcept(false)
985#else
986#   define EIGEN_NOEXCEPT
987#   define EIGEN_NOEXCEPT_IF(x)
988#   define EIGEN_NO_THROW throw()
989#   define EIGEN_EXCEPTION_SPEC(X) throw(X)
990#endif
991
992#endif // EIGEN_MACROS_H
993