Macros.h
Go to the documentation of this file.
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 //------------------------------------------------------------------------------------------
15 // Eigen version and basic defaults
16 //------------------------------------------------------------------------------------------
17 
18 #define EIGEN_WORLD_VERSION 3
19 #define EIGEN_MAJOR_VERSION 4
20 #define EIGEN_MINOR_VERSION 0
21 
22 #define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
23  (EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
24  EIGEN_MINOR_VERSION>=z))))
25 
26 #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
27 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::RowMajor
28 #else
29 #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::ColMajor
30 #endif
31 
32 #ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
33 #define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
34 #endif
35 
36 // Upperbound on the C++ version to use.
37 // Expected values are 03, 11, 14, 17, etc.
38 // By default, let's use an arbitrarily large C++ version.
39 #ifndef EIGEN_MAX_CPP_VER
40 #define EIGEN_MAX_CPP_VER 99
41 #endif
42 
48 #ifndef EIGEN_FAST_MATH
49 #define EIGEN_FAST_MATH 1
50 #endif
51 
52 #ifndef EIGEN_STACK_ALLOCATION_LIMIT
53 // 131072 == 128 KB
54 #define EIGEN_STACK_ALLOCATION_LIMIT 131072
55 #endif
56 
57 //------------------------------------------------------------------------------------------
58 // Compiler identification, EIGEN_COMP_*
59 //------------------------------------------------------------------------------------------
60 
62 #ifdef __GNUC__
63  #define EIGEN_COMP_GNUC (__GNUC__*10+__GNUC_MINOR__)
64 #else
65  #define EIGEN_COMP_GNUC 0
66 #endif
67 
69 #if defined(__clang__)
70  #define EIGEN_COMP_CLANG (__clang_major__*100+__clang_minor__)
71 #else
72  #define EIGEN_COMP_CLANG 0
73 #endif
74 
76 #if defined(__castxml__)
77  #define EIGEN_COMP_CASTXML 1
78 #else
79  #define EIGEN_COMP_CASTXML 0
80 #endif
81 
83 #if defined(__llvm__)
84  #define EIGEN_COMP_LLVM 1
85 #else
86  #define EIGEN_COMP_LLVM 0
87 #endif
88 
90 #if defined(__INTEL_COMPILER)
91  #define EIGEN_COMP_ICC __INTEL_COMPILER
92 #else
93  #define EIGEN_COMP_ICC 0
94 #endif
95 
97 #if defined(__MINGW32__)
98  #define EIGEN_COMP_MINGW 1
99 #else
100  #define EIGEN_COMP_MINGW 0
101 #endif
102 
104 #if defined(__SUNPRO_CC)
105  #define EIGEN_COMP_SUNCC 1
106 #else
107  #define EIGEN_COMP_SUNCC 0
108 #endif
109 
111 #if defined(_MSC_VER)
112  #define EIGEN_COMP_MSVC _MSC_VER
113 #else
114  #define EIGEN_COMP_MSVC 0
115 #endif
116 
117 #if defined(__NVCC__)
118 #if defined(__CUDACC_VER_MAJOR__) && (__CUDACC_VER_MAJOR__ >= 9)
119  #define EIGEN_COMP_NVCC ((__CUDACC_VER_MAJOR__ * 10000) + (__CUDACC_VER_MINOR__ * 100))
120 #elif defined(__CUDACC_VER__)
121  #define EIGEN_COMP_NVCC __CUDACC_VER__
122 #else
123  #error "NVCC did not define compiler version."
124 #endif
125 #else
126  #define EIGEN_COMP_NVCC 0
127 #endif
128 
129 // For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC:
130 // name ver MSC_VER
131 // 2008 9 1500
132 // 2010 10 1600
133 // 2012 11 1700
134 // 2013 12 1800
135 // 2015 14 1900
136 // "15" 15 1900
137 // 2017-14.1 15.0 1910
138 // 2017-14.11 15.3 1911
139 // 2017-14.12 15.5 1912
140 // 2017-14.13 15.6 1913
141 // 2017-14.14 15.7 1914
142 
144 #if defined(_MSVC_LANG)
145  #define EIGEN_COMP_MSVC_LANG _MSVC_LANG
146 #else
147  #define EIGEN_COMP_MSVC_LANG 0
148 #endif
149 
150 // For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC_LANG:
151 // MSVC option Standard MSVC_LANG
152 // /std:c++14 (default as of VS 2019) C++14 201402L
153 // /std:c++17 C++17 201703L
154 // /std:c++latest >C++17 >201703L
155 
157 #if EIGEN_COMP_MSVC && !(EIGEN_COMP_ICC || EIGEN_COMP_LLVM || EIGEN_COMP_CLANG)
158  #define EIGEN_COMP_MSVC_STRICT _MSC_VER
159 #else
160  #define EIGEN_COMP_MSVC_STRICT 0
161 #endif
162 
164 // XLC version
165 // 3.1 0x0301
166 // 4.5 0x0405
167 // 5.0 0x0500
168 // 12.1 0x0C01
169 #if defined(__IBMCPP__) || defined(__xlc__) || defined(__ibmxl__)
170  #define EIGEN_COMP_IBM __xlC__
171 #else
172  #define EIGEN_COMP_IBM 0
173 #endif
174 
176 #if defined(__PGI)
177  #define EIGEN_COMP_PGI (__PGIC__*100+__PGIC_MINOR__)
178 #else
179  #define EIGEN_COMP_PGI 0
180 #endif
181 
183 #if defined(__CC_ARM) || defined(__ARMCC_VERSION)
184  #define EIGEN_COMP_ARM 1
185 #else
186  #define EIGEN_COMP_ARM 0
187 #endif
188 
190 #if defined(__EMSCRIPTEN__)
191  #define EIGEN_COMP_EMSCRIPTEN 1
192 #else
193  #define EIGEN_COMP_EMSCRIPTEN 0
194 #endif
195 
196 
198 #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)
199  #define EIGEN_COMP_GNUC_STRICT 1
200 #else
201  #define EIGEN_COMP_GNUC_STRICT 0
202 #endif
203 
204 
205 #if EIGEN_COMP_GNUC
206  #define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__==x && __GNUC_MINOR__>=y) || __GNUC__>x)
207  #define EIGEN_GNUC_AT_MOST(x,y) ((__GNUC__==x && __GNUC_MINOR__<=y) || __GNUC__<x)
208  #define EIGEN_GNUC_AT(x,y) ( __GNUC__==x && __GNUC_MINOR__==y )
209 #else
210  #define EIGEN_GNUC_AT_LEAST(x,y) 0
211  #define EIGEN_GNUC_AT_MOST(x,y) 0
212  #define EIGEN_GNUC_AT(x,y) 0
213 #endif
214 
215 // FIXME: could probably be removed as we do not support gcc 3.x anymore
216 #if EIGEN_COMP_GNUC && (__GNUC__ <= 3)
217 #define EIGEN_GCC3_OR_OLDER 1
218 #else
219 #define EIGEN_GCC3_OR_OLDER 0
220 #endif
221 
222 
223 
224 //------------------------------------------------------------------------------------------
225 // Architecture identification, EIGEN_ARCH_*
226 //------------------------------------------------------------------------------------------
227 
228 
229 #if defined(__x86_64__) || (defined(_M_X64) && !defined(_M_ARM64EC)) || defined(__amd64)
230  #define EIGEN_ARCH_x86_64 1
231 #else
232  #define EIGEN_ARCH_x86_64 0
233 #endif
234 
235 #if defined(__i386__) || defined(_M_IX86) || defined(_X86_) || defined(__i386)
236  #define EIGEN_ARCH_i386 1
237 #else
238  #define EIGEN_ARCH_i386 0
239 #endif
240 
241 #if EIGEN_ARCH_x86_64 || EIGEN_ARCH_i386
242  #define EIGEN_ARCH_i386_OR_x86_64 1
243 #else
244  #define EIGEN_ARCH_i386_OR_x86_64 0
245 #endif
246 
248 #if defined(__arm__)
249  #define EIGEN_ARCH_ARM 1
250 #else
251  #define EIGEN_ARCH_ARM 0
252 #endif
253 
255 #if defined(__aarch64__) || defined(_M_ARM64) || defined(_M_ARM64EC)
256  #define EIGEN_ARCH_ARM64 1
257 #else
258  #define EIGEN_ARCH_ARM64 0
259 #endif
260 
262 #if EIGEN_ARCH_ARM || EIGEN_ARCH_ARM64
263  #define EIGEN_ARCH_ARM_OR_ARM64 1
264 #else
265  #define EIGEN_ARCH_ARM_OR_ARM64 0
266 #endif
267 
269 #if EIGEN_ARCH_ARM_OR_ARM64 && defined(__ARM_ARCH) && __ARM_ARCH >= 8
270 #define EIGEN_ARCH_ARMV8 1
271 #else
272 #define EIGEN_ARCH_ARMV8 0
273 #endif
274 
275 
278 #if EIGEN_ARCH_ARM64
279  #ifndef EIGEN_HAS_ARM64_FP16
280  #if defined(__ARM_FP16_FORMAT_IEEE)
281  #define EIGEN_HAS_ARM64_FP16 1
282  #else
283  #define EIGEN_HAS_ARM64_FP16 0
284  #endif
285  #endif
286 #endif
287 
290 #if EIGEN_ARCH_ARM64
291  #ifndef EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC
292  #if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC)
293  #define EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC 1
294  #else
295  #define EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC 0
296  #endif
297  #endif
298 #endif
299 
302 #if EIGEN_ARCH_ARM64
303  #ifndef EIGEN_HAS_ARM64_FP16_SCALAR_ARITHMETIC
304  #if defined(__ARM_FEATURE_FP16_SCALAR_ARITHMETIC)
305  #define EIGEN_HAS_ARM64_FP16_SCALAR_ARITHMETIC 1
306  #endif
307  #endif
308 #endif
309 
311 #if defined(__mips__) || defined(__mips)
312  #define EIGEN_ARCH_MIPS 1
313 #else
314  #define EIGEN_ARCH_MIPS 0
315 #endif
316 
318 #if defined(__sparc__) || defined(__sparc)
319  #define EIGEN_ARCH_SPARC 1
320 #else
321  #define EIGEN_ARCH_SPARC 0
322 #endif
323 
325 #if defined(__ia64__)
326  #define EIGEN_ARCH_IA64 1
327 #else
328  #define EIGEN_ARCH_IA64 0
329 #endif
330 
332 #if defined(__powerpc__) || defined(__ppc__) || defined(_M_PPC)
333  #define EIGEN_ARCH_PPC 1
334 #else
335  #define EIGEN_ARCH_PPC 0
336 #endif
337 
338 
339 
340 //------------------------------------------------------------------------------------------
341 // Operating system identification, EIGEN_OS_*
342 //------------------------------------------------------------------------------------------
343 
345 #if defined(__unix__) || defined(__unix)
346  #define EIGEN_OS_UNIX 1
347 #else
348  #define EIGEN_OS_UNIX 0
349 #endif
350 
352 #if defined(__linux__)
353  #define EIGEN_OS_LINUX 1
354 #else
355  #define EIGEN_OS_LINUX 0
356 #endif
357 
359 // note: ANDROID is defined when using ndk_build, __ANDROID__ is defined when using a standalone toolchain.
360 #if defined(__ANDROID__) || defined(ANDROID)
361  #define EIGEN_OS_ANDROID 1
362 #else
363  #define EIGEN_OS_ANDROID 0
364 #endif
365 
367 #if defined(__gnu_linux__) && !(EIGEN_OS_ANDROID)
368  #define EIGEN_OS_GNULINUX 1
369 #else
370  #define EIGEN_OS_GNULINUX 0
371 #endif
372 
374 #if defined(__FreeBSD__) || defined(__NetBSD__) || defined(__OpenBSD__) || defined(__bsdi__) || defined(__DragonFly__)
375  #define EIGEN_OS_BSD 1
376 #else
377  #define EIGEN_OS_BSD 0
378 #endif
379 
381 #if defined(__APPLE__)
382  #define EIGEN_OS_MAC 1
383 #else
384  #define EIGEN_OS_MAC 0
385 #endif
386 
388 #if defined(__QNX__)
389  #define EIGEN_OS_QNX 1
390 #else
391  #define EIGEN_OS_QNX 0
392 #endif
393 
395 #if defined(_WIN32)
396  #define EIGEN_OS_WIN 1
397 #else
398  #define EIGEN_OS_WIN 0
399 #endif
400 
402 #if defined(_WIN64)
403  #define EIGEN_OS_WIN64 1
404 #else
405  #define EIGEN_OS_WIN64 0
406 #endif
407 
409 #if defined(_WIN32_WCE)
410  #define EIGEN_OS_WINCE 1
411 #else
412  #define EIGEN_OS_WINCE 0
413 #endif
414 
416 #if defined(__CYGWIN__)
417  #define EIGEN_OS_CYGWIN 1
418 #else
419  #define EIGEN_OS_CYGWIN 0
420 #endif
421 
423 #if EIGEN_OS_WIN && !( EIGEN_OS_WINCE || EIGEN_OS_CYGWIN )
424  #define EIGEN_OS_WIN_STRICT 1
425 #else
426  #define EIGEN_OS_WIN_STRICT 0
427 #endif
428 
430 // compiler solaris __SUNPRO_C
431 // version studio
432 // 5.7 10 0x570
433 // 5.8 11 0x580
434 // 5.9 12 0x590
435 // 5.10 12.1 0x5100
436 // 5.11 12.2 0x5110
437 // 5.12 12.3 0x5120
438 #if (defined(sun) || defined(__sun)) && !(defined(__SVR4) || defined(__svr4__))
439  #define EIGEN_OS_SUN __SUNPRO_C
440 #else
441  #define EIGEN_OS_SUN 0
442 #endif
443 
445 #if (defined(sun) || defined(__sun)) && (defined(__SVR4) || defined(__svr4__))
446  #define EIGEN_OS_SOLARIS 1
447 #else
448  #define EIGEN_OS_SOLARIS 0
449 #endif
450 
451 
452 //------------------------------------------------------------------------------------------
453 // Detect GPU compilers and architectures
454 //------------------------------------------------------------------------------------------
455 
456 // NVCC is not supported as the target platform for HIPCC
457 // Note that this also makes EIGEN_CUDACC and EIGEN_HIPCC mutually exclusive
458 #if defined(__NVCC__) && defined(__HIPCC__)
459  #error "NVCC as the target platform for HIPCC is currently not supported."
460 #endif
461 
462 #if defined(__CUDACC__) && !defined(EIGEN_NO_CUDA)
463  // Means the compiler is either nvcc or clang with CUDA enabled
464  #define EIGEN_CUDACC __CUDACC__
465 #endif
466 
467 #if defined(__CUDA_ARCH__) && !defined(EIGEN_NO_CUDA)
468  // Means we are generating code for the device
469  #define EIGEN_CUDA_ARCH __CUDA_ARCH__
470 #endif
471 
472 #if defined(EIGEN_CUDACC)
473 #include <cuda.h>
474  #define EIGEN_CUDA_SDK_VER (CUDA_VERSION * 10)
475 #else
476  #define EIGEN_CUDA_SDK_VER 0
477 #endif
478 
479 #if defined(__HIPCC__) && !defined(EIGEN_NO_HIP)
480  // Means the compiler is HIPCC (analogous to EIGEN_CUDACC, but for HIP)
481  #define EIGEN_HIPCC __HIPCC__
482 
483  // We need to include hip_runtime.h here because it pulls in
484  // ++ hip_common.h which contains the define for __HIP_DEVICE_COMPILE__
485  // ++ host_defines.h which contains the defines for the __host__ and __device__ macros
486  #include <hip/hip_runtime.h>
487 
488  #if defined(__HIP_DEVICE_COMPILE__)
489  // analogous to EIGEN_CUDA_ARCH, but for HIP
490  #define EIGEN_HIP_DEVICE_COMPILE __HIP_DEVICE_COMPILE__
491  #endif
492 
493  // For HIP (ROCm 3.5 and higher), we need to explicitly set the launch_bounds attribute
494  // value to 1024. The compiler assigns a default value of 256 when the attribute is not
495  // specified. This results in failures on the HIP platform, for cases when a GPU kernel
496  // without an explicit launch_bounds attribute is called with a threads_per_block value
497  // greater than 256.
498  //
499  // This is a regression in functioanlity and is expected to be fixed within the next
500  // couple of ROCm releases (compiler will go back to using 1024 value as the default)
501  //
502  // In the meantime, we will use a "only enabled for HIP" macro to set the launch_bounds
503  // attribute.
504 
505  #define EIGEN_HIP_LAUNCH_BOUNDS_1024 __launch_bounds__(1024)
506 
507 #endif
508 
509 #if !defined(EIGEN_HIP_LAUNCH_BOUNDS_1024)
510 #define EIGEN_HIP_LAUNCH_BOUNDS_1024
511 #endif // !defined(EIGEN_HIP_LAUNCH_BOUNDS_1024)
512 
513 // Unify CUDA/HIPCC
514 
515 #if defined(EIGEN_CUDACC) || defined(EIGEN_HIPCC)
516 //
517 // If either EIGEN_CUDACC or EIGEN_HIPCC is defined, then define EIGEN_GPUCC
518 //
519 #define EIGEN_GPUCC
520 //
521 // EIGEN_HIPCC implies the HIP compiler and is used to tweak Eigen code for use in HIP kernels
522 // EIGEN_CUDACC implies the CUDA compiler and is used to tweak Eigen code for use in CUDA kernels
523 //
524 // In most cases the same tweaks are required to the Eigen code to enable in both the HIP and CUDA kernels.
525 // For those cases, the corresponding code should be guarded with
526 // #if defined(EIGEN_GPUCC)
527 // instead of
528 // #if defined(EIGEN_CUDACC) || defined(EIGEN_HIPCC)
529 //
530 // For cases where the tweak is specific to HIP, the code should be guarded with
531 // #if defined(EIGEN_HIPCC)
532 //
533 // For cases where the tweak is specific to CUDA, the code should be guarded with
534 // #if defined(EIGEN_CUDACC)
535 //
536 #endif
537 
538 #if defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIP_DEVICE_COMPILE)
539 //
540 // If either EIGEN_CUDA_ARCH or EIGEN_HIP_DEVICE_COMPILE is defined, then define EIGEN_GPU_COMPILE_PHASE
541 //
542 #define EIGEN_GPU_COMPILE_PHASE
543 //
544 // GPU compilers (HIPCC, NVCC) typically do two passes over the source code,
545 // + one to compile the source for the "host" (ie CPU)
546 // + another to compile the source for the "device" (ie. GPU)
547 //
548 // Code that needs to enabled only during the either the "host" or "device" compilation phase
549 // needs to be guarded with a macro that indicates the current compilation phase
550 //
551 // EIGEN_HIP_DEVICE_COMPILE implies the device compilation phase in HIP
552 // EIGEN_CUDA_ARCH implies the device compilation phase in CUDA
553 //
554 // In most cases, the "host" / "device" specific code is the same for both HIP and CUDA
555 // For those cases, the code should be guarded with
556 // #if defined(EIGEN_GPU_COMPILE_PHASE)
557 // instead of
558 // #if defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIP_DEVICE_COMPILE)
559 //
560 // For cases where the tweak is specific to HIP, the code should be guarded with
561 // #if defined(EIGEN_HIP_DEVICE_COMPILE)
562 //
563 // For cases where the tweak is specific to CUDA, the code should be guarded with
564 // #if defined(EIGEN_CUDA_ARCH)
565 //
566 #endif
567 
568 #if defined(EIGEN_USE_SYCL) && defined(__SYCL_DEVICE_ONLY__)
569 // EIGEN_USE_SYCL is a user-defined macro while __SYCL_DEVICE_ONLY__ is a compiler-defined macro.
570 // In most cases we want to check if both macros are defined which can be done using the define below.
571 #define SYCL_DEVICE_ONLY
572 #endif
573 
574 //------------------------------------------------------------------------------------------
575 // Detect Compiler/Architecture/OS specific features
576 //------------------------------------------------------------------------------------------
577 
578 #if EIGEN_GNUC_AT_MOST(4,3) && !EIGEN_COMP_CLANG
579  // see bug 89
580  #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 0
581 #else
582  #define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 1
583 #endif
584 
585 // Cross compiler wrapper around LLVM's __has_builtin
586 #ifdef __has_builtin
587 # define EIGEN_HAS_BUILTIN(x) __has_builtin(x)
588 #else
589 # define EIGEN_HAS_BUILTIN(x) 0
590 #endif
591 
592 // A Clang feature extension to determine compiler features.
593 // We use it to determine 'cxx_rvalue_references'
594 #ifndef __has_feature
595 # define __has_feature(x) 0
596 #endif
597 
598 // Some old compilers do not support template specializations like:
599 // template<typename T,int N> void foo(const T x[N]);
600 #if !( EIGEN_COMP_CLANG && ( (EIGEN_COMP_CLANG<309) \
601  || (defined(__apple_build_version__) && (__apple_build_version__ < 9000000))) \
602  || EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC<49)
603 #define EIGEN_HAS_STATIC_ARRAY_TEMPLATE 1
604 #else
605 #define EIGEN_HAS_STATIC_ARRAY_TEMPLATE 0
606 #endif
607 
608 // The macro EIGEN_CPLUSPLUS is a replacement for __cplusplus/_MSVC_LANG that
609 // works for both platforms, indicating the C++ standard version number.
610 //
611 // With MSVC, without defining /Zc:__cplusplus, the __cplusplus macro will
612 // report 199711L regardless of the language standard specified via /std.
613 // We need to rely on _MSVC_LANG instead, which is only available after
614 // VS2015.3.
615 #if EIGEN_COMP_MSVC_LANG > 0
616 #define EIGEN_CPLUSPLUS EIGEN_COMP_MSVC_LANG
617 #elif EIGEN_COMP_MSVC >= 1900
618 #define EIGEN_CPLUSPLUS 201103L
619 #elif defined(__cplusplus)
620 #define EIGEN_CPLUSPLUS __cplusplus
621 #else
622 #define EIGEN_CPLUSPLUS 0
623 #endif
624 
625 // The macro EIGEN_COMP_CXXVER defines the c++ verson expected by the compiler.
626 // For instance, if compiling with gcc and -std=c++17, then EIGEN_COMP_CXXVER
627 // is defined to 17.
628 #if EIGEN_CPLUSPLUS > 201703L
629  #define EIGEN_COMP_CXXVER 20
630 #elif EIGEN_CPLUSPLUS > 201402L
631  #define EIGEN_COMP_CXXVER 17
632 #elif EIGEN_CPLUSPLUS > 201103L
633  #define EIGEN_COMP_CXXVER 14
634 #elif EIGEN_CPLUSPLUS >= 201103L
635  #define EIGEN_COMP_CXXVER 11
636 #else
637  #define EIGEN_COMP_CXXVER 03
638 #endif
639 
640 #ifndef EIGEN_HAS_CXX14_VARIABLE_TEMPLATES
641  #if defined(__cpp_variable_templates) && __cpp_variable_templates >= 201304 && EIGEN_MAX_CPP_VER>=14
642  #define EIGEN_HAS_CXX14_VARIABLE_TEMPLATES 1
643  #else
644  #define EIGEN_HAS_CXX14_VARIABLE_TEMPLATES 0
645  #endif
646 #endif
647 
648 
649 // The macros EIGEN_HAS_CXX?? defines a rough estimate of available c++ features
650 // but in practice we should not rely on them but rather on the availabilty of
651 // individual features as defined later.
652 // This is why there is no EIGEN_HAS_CXX17.
653 // FIXME: get rid of EIGEN_HAS_CXX14 and maybe even EIGEN_HAS_CXX11.
654 #if EIGEN_MAX_CPP_VER>=11 && EIGEN_COMP_CXXVER>=11
655 #define EIGEN_HAS_CXX11 1
656 #else
657 #define EIGEN_HAS_CXX11 0
658 #endif
659 
660 #if EIGEN_MAX_CPP_VER>=14 && EIGEN_COMP_CXXVER>=14
661 #define EIGEN_HAS_CXX14 1
662 #else
663 #define EIGEN_HAS_CXX14 0
664 #endif
665 
666 // Do we support r-value references?
667 #ifndef EIGEN_HAS_RVALUE_REFERENCES
668 #if EIGEN_MAX_CPP_VER>=11 && \
669  (__has_feature(cxx_rvalue_references) || \
670  (EIGEN_COMP_CXXVER >= 11) || (EIGEN_COMP_MSVC >= 1600))
671  #define EIGEN_HAS_RVALUE_REFERENCES 1
672 #else
673  #define EIGEN_HAS_RVALUE_REFERENCES 0
674 #endif
675 #endif
676 
677 // Does the compiler support C99?
678 // Need to include <cmath> to make sure _GLIBCXX_USE_C99 gets defined
679 #include <cmath>
680 #ifndef EIGEN_HAS_C99_MATH
681 #if EIGEN_MAX_CPP_VER>=11 && \
682  ((defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901)) \
683  || (defined(__GNUC__) && defined(_GLIBCXX_USE_C99)) \
684  || (defined(_LIBCPP_VERSION) && !defined(_MSC_VER)) \
685  || (EIGEN_COMP_MSVC >= 1900) || defined(SYCL_DEVICE_ONLY))
686  #define EIGEN_HAS_C99_MATH 1
687 #else
688  #define EIGEN_HAS_C99_MATH 0
689 #endif
690 #endif
691 
692 // Does the compiler support result_of?
693 // result_of was deprecated in c++17 and removed in c++ 20
694 #ifndef EIGEN_HAS_STD_RESULT_OF
695 #if EIGEN_HAS_CXX11 && EIGEN_COMP_CXXVER < 17
696 #define EIGEN_HAS_STD_RESULT_OF 1
697 #else
698 #define EIGEN_HAS_STD_RESULT_OF 0
699 #endif
700 #endif
701 
702 // Does the compiler support std::hash?
703 #ifndef EIGEN_HAS_STD_HASH
704 // The std::hash struct is defined in C++11 but is not labelled as a __device__
705 // function and is not constexpr, so cannot be used on device.
706 #if EIGEN_HAS_CXX11 && !defined(EIGEN_GPU_COMPILE_PHASE)
707 #define EIGEN_HAS_STD_HASH 1
708 #else
709 #define EIGEN_HAS_STD_HASH 0
710 #endif
711 #endif // EIGEN_HAS_STD_HASH
712 
713 #ifndef EIGEN_HAS_STD_INVOKE_RESULT
714 #if EIGEN_MAX_CPP_VER >= 17 && EIGEN_COMP_CXXVER >= 17
715 #define EIGEN_HAS_STD_INVOKE_RESULT 1
716 #else
717 #define EIGEN_HAS_STD_INVOKE_RESULT 0
718 #endif
719 #endif
720 
721 #ifndef EIGEN_HAS_ALIGNAS
722 #if EIGEN_MAX_CPP_VER>=11 && EIGEN_HAS_CXX11 && \
723  ( __has_feature(cxx_alignas) \
724  || EIGEN_HAS_CXX14 \
725  || (EIGEN_COMP_MSVC >= 1800) \
726  || (EIGEN_GNUC_AT_LEAST(4,8)) \
727  || (EIGEN_COMP_CLANG>=305) \
728  || (EIGEN_COMP_ICC>=1500) \
729  || (EIGEN_COMP_PGI>=1500) \
730  || (EIGEN_COMP_SUNCC>=0x5130))
731 #define EIGEN_HAS_ALIGNAS 1
732 #else
733 #define EIGEN_HAS_ALIGNAS 0
734 #endif
735 #endif
736 
737 // Does the compiler support type_traits?
738 // - full support of type traits was added only to GCC 5.1.0.
739 // - 20150626 corresponds to the last release of 4.x libstdc++
740 #ifndef EIGEN_HAS_TYPE_TRAITS
741 #if EIGEN_MAX_CPP_VER>=11 && (EIGEN_HAS_CXX11 || EIGEN_COMP_MSVC >= 1700) \
742  && ((!EIGEN_COMP_GNUC_STRICT) || EIGEN_GNUC_AT_LEAST(5, 1)) \
743  && ((!defined(__GLIBCXX__)) || __GLIBCXX__ > 20150626)
744 #define EIGEN_HAS_TYPE_TRAITS 1
745 #define EIGEN_INCLUDE_TYPE_TRAITS
746 #else
747 #define EIGEN_HAS_TYPE_TRAITS 0
748 #endif
749 #endif
750 
751 // Does the compiler support variadic templates?
752 #ifndef EIGEN_HAS_VARIADIC_TEMPLATES
753 #if EIGEN_MAX_CPP_VER>=11 && (EIGEN_COMP_CXXVER >= 11) \
754  && (!defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64 || (EIGEN_COMP_NVCC >= 80000) )
755  // ^^ Disable the use of variadic templates when compiling with versions of nvcc older than 8.0 on ARM devices:
756  // this prevents nvcc from crashing when compiling Eigen on Tegra X1
757 #define EIGEN_HAS_VARIADIC_TEMPLATES 1
758 #elif EIGEN_MAX_CPP_VER>=11 && (EIGEN_COMP_CXXVER >= 11) && defined(SYCL_DEVICE_ONLY)
759 #define EIGEN_HAS_VARIADIC_TEMPLATES 1
760 #else
761 #define EIGEN_HAS_VARIADIC_TEMPLATES 0
762 #endif
763 #endif
764 
765 // Does the compiler fully support const expressions? (as in c++14)
766 #ifndef EIGEN_HAS_CONSTEXPR
767  #if defined(EIGEN_CUDACC)
768  // Const expressions are supported provided that c++11 is enabled and we're using either clang or nvcc 7.5 or above
769  #if EIGEN_MAX_CPP_VER>=14 && (EIGEN_COMP_CXXVER >= 11 && (EIGEN_COMP_CLANG || EIGEN_COMP_NVCC >= 70500))
770  #define EIGEN_HAS_CONSTEXPR 1
771  #endif
772  #elif EIGEN_MAX_CPP_VER>=14 && (__has_feature(cxx_relaxed_constexpr) || (EIGEN_COMP_CXXVER >= 14) || \
773  (EIGEN_GNUC_AT_LEAST(4,8) && (EIGEN_COMP_CXXVER >= 11)) || \
774  (EIGEN_COMP_CLANG >= 306 && (EIGEN_COMP_CXXVER >= 11)))
775  #define EIGEN_HAS_CONSTEXPR 1
776  #endif
777 
778  #ifndef EIGEN_HAS_CONSTEXPR
779  #define EIGEN_HAS_CONSTEXPR 0
780  #endif
781 
782 #endif // EIGEN_HAS_CONSTEXPR
783 
784 #if EIGEN_HAS_CONSTEXPR
785 #define EIGEN_CONSTEXPR constexpr
786 #else
787 #define EIGEN_CONSTEXPR
788 #endif
789 
790 // Does the compiler support C++11 math?
791 // Let's be conservative and enable the default C++11 implementation only if we are sure it exists
792 #ifndef EIGEN_HAS_CXX11_MATH
793  #if EIGEN_MAX_CPP_VER>=11 && ((EIGEN_COMP_CXXVER > 11) || (EIGEN_COMP_CXXVER == 11) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC) \
794  && (EIGEN_ARCH_i386_OR_x86_64) && (EIGEN_OS_GNULINUX || EIGEN_OS_WIN_STRICT || EIGEN_OS_MAC))
795  #define EIGEN_HAS_CXX11_MATH 1
796  #else
797  #define EIGEN_HAS_CXX11_MATH 0
798  #endif
799 #endif
800 
801 // Does the compiler support proper C++11 containers?
802 #ifndef EIGEN_HAS_CXX11_CONTAINERS
803  #if EIGEN_MAX_CPP_VER>=11 && \
804  ((EIGEN_COMP_CXXVER > 11) \
805  || ((EIGEN_COMP_CXXVER == 11) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC>=1400)))
806  #define EIGEN_HAS_CXX11_CONTAINERS 1
807  #else
808  #define EIGEN_HAS_CXX11_CONTAINERS 0
809  #endif
810 #endif
811 
812 // Does the compiler support C++11 noexcept?
813 #ifndef EIGEN_HAS_CXX11_NOEXCEPT
814  #if EIGEN_MAX_CPP_VER>=11 && \
815  (__has_feature(cxx_noexcept) \
816  || (EIGEN_COMP_CXXVER > 11) \
817  || ((EIGEN_COMP_CXXVER == 11) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC>=1400)))
818  #define EIGEN_HAS_CXX11_NOEXCEPT 1
819  #else
820  #define EIGEN_HAS_CXX11_NOEXCEPT 0
821  #endif
822 #endif
823 
824 #ifndef EIGEN_HAS_CXX11_ATOMIC
825  #if EIGEN_MAX_CPP_VER>=11 && \
826  (__has_feature(cxx_atomic) \
827  || (EIGEN_COMP_CXXVER > 11) \
828  || ((EIGEN_COMP_CXXVER == 11) && (EIGEN_COMP_MSVC==0 || EIGEN_COMP_MSVC >= 1700)))
829  #define EIGEN_HAS_CXX11_ATOMIC 1
830  #else
831  #define EIGEN_HAS_CXX11_ATOMIC 0
832  #endif
833 #endif
834 
835 #ifndef EIGEN_HAS_CXX11_OVERRIDE_FINAL
836  #if EIGEN_MAX_CPP_VER>=11 && \
837  (EIGEN_COMP_CXXVER >= 11 || EIGEN_COMP_MSVC >= 1700)
838  #define EIGEN_HAS_CXX11_OVERRIDE_FINAL 1
839  #else
840  #define EIGEN_HAS_CXX11_OVERRIDE_FINAL 0
841  #endif
842 #endif
843 
844 // NOTE: the required Apple's clang version is very conservative
845 // and it could be that XCode 9 works just fine.
846 // NOTE: the MSVC version is based on https://en.cppreference.com/w/cpp/compiler_support
847 // and not tested.
848 #ifndef EIGEN_HAS_CXX17_OVERALIGN
849 #if EIGEN_MAX_CPP_VER>=17 && EIGEN_COMP_CXXVER>=17 && ( \
850  (EIGEN_COMP_MSVC >= 1912) \
851  || (EIGEN_GNUC_AT_LEAST(7,0)) \
852  || ((!defined(__apple_build_version__)) && (EIGEN_COMP_CLANG>=500)) \
853  || (( defined(__apple_build_version__)) && (__apple_build_version__>=10000000)) \
854  )
855 #define EIGEN_HAS_CXX17_OVERALIGN 1
856 #else
857 #define EIGEN_HAS_CXX17_OVERALIGN 0
858 #endif
859 #endif
860 
861 #if defined(EIGEN_CUDACC) && EIGEN_HAS_CONSTEXPR
862  // While available already with c++11, this is useful mostly starting with c++14 and relaxed constexpr rules
863  #if defined(__NVCC__)
864  // nvcc considers constexpr functions as __host__ __device__ with the option --expt-relaxed-constexpr
865  #ifdef __CUDACC_RELAXED_CONSTEXPR__
866  #define EIGEN_CONSTEXPR_ARE_DEVICE_FUNC
867  #endif
868  #elif defined(__clang__) && defined(__CUDA__) && __has_feature(cxx_relaxed_constexpr)
869  // clang++ always considers constexpr functions as implicitly __host__ __device__
870  #define EIGEN_CONSTEXPR_ARE_DEVICE_FUNC
871  #endif
872 #endif
873 
874 // Does the compiler support the __int128 and __uint128_t extensions for 128-bit
875 // integer arithmetic?
876 //
877 // Clang and GCC define __SIZEOF_INT128__ when these extensions are supported,
878 // but we avoid using them in certain cases:
879 //
880 // * Building using Clang for Windows, where the Clang runtime library has
881 // 128-bit support only on LP64 architectures, but Windows is LLP64.
882 #ifndef EIGEN_HAS_BUILTIN_INT128
883 #if defined(__SIZEOF_INT128__) && !(EIGEN_OS_WIN && EIGEN_COMP_CLANG)
884 #define EIGEN_HAS_BUILTIN_INT128 1
885 #else
886 #define EIGEN_HAS_BUILTIN_INT128 0
887 #endif
888 #endif
889 
890 //------------------------------------------------------------------------------------------
891 // Preprocessor programming helpers
892 //------------------------------------------------------------------------------------------
893 
894 // This macro can be used to prevent from macro expansion, e.g.:
895 // std::max EIGEN_NOT_A_MACRO(a,b)
896 #define EIGEN_NOT_A_MACRO
897 
898 #define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
899 
900 // concatenate two tokens
901 #define EIGEN_CAT2(a,b) a ## b
902 #define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
903 
904 #define EIGEN_COMMA ,
905 
906 // convert a token to a string
907 #define EIGEN_MAKESTRING2(a) #a
908 #define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
909 
910 // EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC,
911 // but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline
912 // but GCC is still doing fine with just inline.
913 #ifndef EIGEN_STRONG_INLINE
914 #if (EIGEN_COMP_MSVC || EIGEN_COMP_ICC) && !defined(EIGEN_GPUCC)
915 #define EIGEN_STRONG_INLINE __forceinline
916 #else
917 #define EIGEN_STRONG_INLINE inline
918 #endif
919 #endif
920 
921 // EIGEN_ALWAYS_INLINE is the stronget, it has the effect of making the function inline and adding every possible
922 // attribute to maximize inlining. This should only be used when really necessary: in particular,
923 // it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times.
924 // FIXME with the always_inline attribute,
925 // gcc 3.4.x and 4.1 reports the following compilation error:
926 // Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
927 // : function body not available
928 // See also bug 1367
929 #if EIGEN_GNUC_AT_LEAST(4,2) && !defined(SYCL_DEVICE_ONLY)
930 #define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline
931 #else
932 #define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE
933 #endif
934 
935 #if EIGEN_COMP_GNUC
936 #define EIGEN_DONT_INLINE __attribute__((noinline))
937 #elif EIGEN_COMP_MSVC
938 #define EIGEN_DONT_INLINE __declspec(noinline)
939 #else
940 #define EIGEN_DONT_INLINE
941 #endif
942 
943 #if EIGEN_COMP_GNUC
944 #define EIGEN_PERMISSIVE_EXPR __extension__
945 #else
946 #define EIGEN_PERMISSIVE_EXPR
947 #endif
948 
949 // GPU stuff
950 
951 // Disable some features when compiling with GPU compilers (NVCC/clang-cuda/SYCL/HIPCC)
952 #if defined(EIGEN_CUDACC) || defined(SYCL_DEVICE_ONLY) || defined(EIGEN_HIPCC)
953  // Do not try asserts on device code
954  #ifndef EIGEN_NO_DEBUG
955  #define EIGEN_NO_DEBUG
956  #endif
957 
958  #ifdef EIGEN_INTERNAL_DEBUGGING
959  #undef EIGEN_INTERNAL_DEBUGGING
960  #endif
961 
962  #ifdef EIGEN_EXCEPTIONS
963  #undef EIGEN_EXCEPTIONS
964  #endif
965 #endif
966 
967 #if defined(SYCL_DEVICE_ONLY)
968  #ifndef EIGEN_DONT_VECTORIZE
969  #define EIGEN_DONT_VECTORIZE
970  #endif
971  #define EIGEN_DEVICE_FUNC __attribute__((flatten)) __attribute__((always_inline))
972 // All functions callable from CUDA/HIP code must be qualified with __device__
973 #elif defined(EIGEN_GPUCC)
974  #define EIGEN_DEVICE_FUNC __host__ __device__
975 #else
976  #define EIGEN_DEVICE_FUNC
977 #endif
978 
979 
980 // this macro allows to get rid of linking errors about multiply defined functions.
981 // - static is not very good because it prevents definitions from different object files to be merged.
982 // So static causes the resulting linked executable to be bloated with multiple copies of the same function.
983 // - inline is not perfect either as it unwantedly hints the compiler toward inlining the function.
984 #define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_DEVICE_FUNC
985 #define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_DEVICE_FUNC inline
986 
987 #ifdef NDEBUG
988 # ifndef EIGEN_NO_DEBUG
989 # define EIGEN_NO_DEBUG
990 # endif
991 #endif
992 
993 // eigen_plain_assert is where we implement the workaround for the assert() bug in GCC <= 4.3, see bug 89
994 #ifdef EIGEN_NO_DEBUG
995  #ifdef SYCL_DEVICE_ONLY // used to silence the warning on SYCL device
996  #define eigen_plain_assert(x) EIGEN_UNUSED_VARIABLE(x)
997  #else
998  #define eigen_plain_assert(x)
999  #endif
1000 #else
1001  #if EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO
1002  namespace Eigen {
1003  namespace internal {
1004  inline bool copy_bool(bool b) { return b; }
1005  }
1006  }
1007  #define eigen_plain_assert(x) assert(x)
1008  #else
1009  // work around bug 89
1010  #include <cstdlib> // for abort
1011  #include <iostream> // for std::cerr
1012 
1013  namespace Eigen {
1014  namespace internal {
1015  // trivial function copying a bool. Must be EIGEN_DONT_INLINE, so we implement it after including Eigen headers.
1016  // see bug 89.
1017  namespace {
1018  EIGEN_DONT_INLINE bool copy_bool(bool b) { return b; }
1019  }
1020  inline void assert_fail(const char *condition, const char *function, const char *file, int line)
1021  {
1022  std::cerr << "assertion failed: " << condition << " in function " << function << " at " << file << ":" << line << std::endl;
1023  abort();
1024  }
1025  }
1026  }
1027  #define eigen_plain_assert(x) \
1028  do { \
1029  if(!Eigen::internal::copy_bool(x)) \
1030  Eigen::internal::assert_fail(EIGEN_MAKESTRING(x), __PRETTY_FUNCTION__, __FILE__, __LINE__); \
1031  } while(false)
1032  #endif
1033 #endif
1034 
1035 // eigen_assert can be overridden
1036 #ifndef eigen_assert
1037 #define eigen_assert(x) eigen_plain_assert(x)
1038 #endif
1039 
1040 #ifdef EIGEN_INTERNAL_DEBUGGING
1041 #define eigen_internal_assert(x) eigen_assert(x)
1042 #else
1043 #define eigen_internal_assert(x)
1044 #endif
1045 
1046 #ifdef EIGEN_NO_DEBUG
1047 #define EIGEN_ONLY_USED_FOR_DEBUG(x) EIGEN_UNUSED_VARIABLE(x)
1048 #else
1049 #define EIGEN_ONLY_USED_FOR_DEBUG(x)
1050 #endif
1051 
1052 #ifndef EIGEN_NO_DEPRECATED_WARNING
1053  #if EIGEN_COMP_GNUC
1054  #define EIGEN_DEPRECATED __attribute__((deprecated))
1055  #elif EIGEN_COMP_MSVC
1056  #define EIGEN_DEPRECATED __declspec(deprecated)
1057  #else
1058  #define EIGEN_DEPRECATED
1059  #endif
1060 #else
1061  #define EIGEN_DEPRECATED
1062 #endif
1063 
1064 #if EIGEN_COMP_GNUC
1065 #define EIGEN_UNUSED __attribute__((unused))
1066 #else
1067 #define EIGEN_UNUSED
1068 #endif
1069 
1070 // Suppresses 'unused variable' warnings.
1071 namespace Eigen {
1072  namespace internal {
1073  template<typename T> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void ignore_unused_variable(const T&) {}
1074  }
1075 }
1076 #define EIGEN_UNUSED_VARIABLE(var) Eigen::internal::ignore_unused_variable(var);
1077 
1078 #if !defined(EIGEN_ASM_COMMENT)
1079  #if EIGEN_COMP_GNUC && (EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64)
1080  #define EIGEN_ASM_COMMENT(X) __asm__("#" X)
1081  #else
1082  #define EIGEN_ASM_COMMENT(X)
1083  #endif
1084 #endif
1085 
1086 
1087 // Acts as a barrier preventing operations involving `X` from crossing. This
1088 // occurs, for example, in the fast rounding trick where a magic constant is
1089 // added then subtracted, which is otherwise compiled away with -ffast-math.
1090 //
1091 // See bug 1674
1092 #if !defined(EIGEN_OPTIMIZATION_BARRIER)
1093  #if EIGEN_COMP_GNUC
1094  // According to https://gcc.gnu.org/onlinedocs/gcc/Constraints.html:
1095  // X: Any operand whatsoever.
1096  // r: A register operand is allowed provided that it is in a general
1097  // register.
1098  // g: Any register, memory or immediate integer operand is allowed, except
1099  // for registers that are not general registers.
1100  // w: (AArch32/AArch64) Floating point register, Advanced SIMD vector
1101  // register or SVE vector register.
1102  // x: (SSE) Any SSE register.
1103  // (AArch64) Like w, but restricted to registers 0 to 15 inclusive.
1104  // v: (PowerPC) An Altivec vector register.
1105  // wa:(PowerPC) A VSX register.
1106  //
1107  // "X" (uppercase) should work for all cases, though this seems to fail for
1108  // some versions of GCC for arm/aarch64 with
1109  // "error: inconsistent operand constraints in an 'asm'"
1110  // Clang x86_64/arm/aarch64 seems to require "g" to support both scalars and
1111  // vectors, otherwise
1112  // "error: non-trivial scalar-to-vector conversion, possible invalid
1113  // constraint for vector type"
1114  //
1115  // GCC for ppc64le generates an internal compiler error with x/X/g.
1116  // GCC for AVX generates an internal compiler error with X.
1117  //
1118  // Tested on icc/gcc/clang for sse, avx, avx2, avx512dq
1119  // gcc for arm, aarch64,
1120  // gcc for ppc64le,
1121  // both vectors and scalars.
1122  //
1123  // Note that this is restricted to plain types - this will not work
1124  // directly for std::complex<T>, Eigen::half, Eigen::bfloat16. For these,
1125  // you will need to apply to the underlying POD type.
1126  #if EIGEN_ARCH_PPC && EIGEN_COMP_GNUC_STRICT
1127  // This seems to be broken on clang. Packet4f is loaded into a single
1128  // register rather than a vector, zeroing out some entries. Integer
1129  // types also generate a compile error.
1130  // General, Altivec, VSX.
1131  #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__ ("" : "+r,v,wa" (X));
1132  #elif EIGEN_ARCH_ARM_OR_ARM64
1133  // General, NEON.
1134  #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__ ("" : "+g,w" (X));
1135  #elif EIGEN_ARCH_i386_OR_x86_64
1136  // General, SSE.
1137  #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__ ("" : "+g,x" (X));
1138  #else
1139  // Not implemented for other architectures.
1140  #define EIGEN_OPTIMIZATION_BARRIER(X)
1141  #endif
1142  #else
1143  // Not implemented for other compilers.
1144  #define EIGEN_OPTIMIZATION_BARRIER(X)
1145  #endif
1146 #endif
1147 
1148 #if EIGEN_COMP_MSVC
1149  // NOTE MSVC often gives C4127 warnings with compiletime if statements. See bug 1362.
1150  // This workaround is ugly, but it does the job.
1151 # define EIGEN_CONST_CONDITIONAL(cond) (void)0, cond
1152 #else
1153 # define EIGEN_CONST_CONDITIONAL(cond) cond
1154 #endif
1155 
1156 #ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
1157  #define EIGEN_RESTRICT
1158 #endif
1159 #ifndef EIGEN_RESTRICT
1160  #define EIGEN_RESTRICT __restrict
1161 #endif
1162 
1163 
1164 #ifndef EIGEN_DEFAULT_IO_FORMAT
1165 #ifdef EIGEN_MAKING_DOCS
1166 // format used in Eigen's documentation
1167 // needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
1168 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat(3, 0, " ", "\n", "", "")
1169 #else
1170 #define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
1171 #endif
1172 #endif
1173 
1174 // just an empty macro !
1175 #define EIGEN_EMPTY
1176 
1177 
1178 // When compiling CUDA/HIP device code with NVCC or HIPCC
1179 // pull in math functions from the global namespace.
1180 // In host mode, and when device code is compiled with clang,
1181 // use the std versions.
1182 #if (defined(EIGEN_CUDA_ARCH) && defined(__NVCC__)) || defined(EIGEN_HIP_DEVICE_COMPILE)
1183  #define EIGEN_USING_STD(FUNC) using ::FUNC;
1184 #else
1185  #define EIGEN_USING_STD(FUNC) using std::FUNC;
1186 #endif
1187 
1188 #if EIGEN_COMP_MSVC_STRICT && (EIGEN_COMP_MSVC < 1900 || (EIGEN_COMP_MSVC == 1900 && EIGEN_COMP_NVCC))
1189  // For older MSVC versions, as well as 1900 && CUDA 8, using the base operator is necessary,
1190  // otherwise we get duplicate definition errors
1191  // For later MSVC versions, we require explicit operator= definition, otherwise we get
1192  // use of implicitly deleted operator errors.
1193  // (cf Bugs 920, 1000, 1324, 2291)
1194  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
1195  using Base::operator =;
1196 #elif EIGEN_COMP_CLANG // workaround clang bug (see http://forum.kde.org/viewtopic.php?f=74&t=102653)
1197  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
1198  using Base::operator =; \
1199  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) { Base::operator=(other); return *this; } \
1200  template <typename OtherDerived> \
1201  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const DenseBase<OtherDerived>& other) { Base::operator=(other.derived()); return *this; }
1202 #else
1203  #define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
1204  using Base::operator =; \
1205  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) \
1206  { \
1207  Base::operator=(other); \
1208  return *this; \
1209  }
1210 #endif
1211 
1212 
1218 #if EIGEN_HAS_CXX11
1219 #define EIGEN_DEFAULT_COPY_CONSTRUCTOR(CLASS) CLASS(const CLASS&) = default;
1220 #else
1221 #define EIGEN_DEFAULT_COPY_CONSTRUCTOR(CLASS)
1222 #endif
1223 
1224 
1225 
1231 #define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) \
1232  EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
1233  EIGEN_DEFAULT_COPY_CONSTRUCTOR(Derived)
1234 
1242 #if EIGEN_HAS_CXX11
1243 #define EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(Derived) \
1244  Derived() = default; \
1245  ~Derived() = default;
1246 #else
1247 #define EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(Derived) \
1248  Derived() {}; \
1249  /* ~Derived() {}; */
1250 #endif
1251 
1252 
1253 
1254 
1255 
1264 #define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
1265  typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; \
1266  typedef typename Eigen::NumTraits<Scalar>::Real RealScalar; \
1267  typedef typename Base::CoeffReturnType CoeffReturnType; \
1268  typedef typename Eigen::internal::ref_selector<Derived>::type Nested; \
1269  typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
1270  typedef typename Eigen::internal::traits<Derived>::StorageIndex StorageIndex; \
1271  enum CompileTimeTraits \
1272  { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
1273  ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
1274  Flags = Eigen::internal::traits<Derived>::Flags, \
1275  SizeAtCompileTime = Base::SizeAtCompileTime, \
1276  MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
1277  IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
1278  using Base::derived; \
1279  using Base::const_cast_derived;
1280 
1281 
1282 // FIXME Maybe the EIGEN_DENSE_PUBLIC_INTERFACE could be removed as importing PacketScalar is rarely needed
1283 #define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
1284  EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
1285  typedef typename Base::PacketScalar PacketScalar;
1286 
1287 
1288 #define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
1289 #define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
1290 
1291 // EIGEN_SIZE_MIN_PREFER_DYNAMIC gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
1292 // followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
1293 // finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
1294 #define EIGEN_SIZE_MIN_PREFER_DYNAMIC(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
1295  : ((int)a == 1 || (int)b == 1) ? 1 \
1296  : ((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
1297  : ((int)a <= (int)b) ? (int)a : (int)b)
1298 
1299 // EIGEN_SIZE_MIN_PREFER_FIXED is a variant of EIGEN_SIZE_MIN_PREFER_DYNAMIC comparing MaxSizes. The difference is that finite values
1300 // now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
1301 // (between 0 and 3), it is not more than 3.
1302 #define EIGEN_SIZE_MIN_PREFER_FIXED(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
1303  : ((int)a == 1 || (int)b == 1) ? 1 \
1304  : ((int)a == Dynamic && (int)b == Dynamic) ? Dynamic \
1305  : ((int)a == Dynamic) ? (int)b \
1306  : ((int)b == Dynamic) ? (int)a \
1307  : ((int)a <= (int)b) ? (int)a : (int)b)
1308 
1309 // see EIGEN_SIZE_MIN_PREFER_DYNAMIC. No need for a separate variant for MaxSizes here.
1310 #define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
1311  : ((int)a >= (int)b) ? (int)a : (int)b)
1312 
1313 #define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
1314 
1315 #define EIGEN_IMPLIES(a,b) (!(a) || (b))
1316 
1317 #if EIGEN_HAS_BUILTIN(__builtin_expect) || EIGEN_COMP_GNUC
1318 #define EIGEN_PREDICT_FALSE(x) (__builtin_expect(x, false))
1319 #define EIGEN_PREDICT_TRUE(x) (__builtin_expect(false || (x), true))
1320 #else
1321 #define EIGEN_PREDICT_FALSE(x) (x)
1322 #define EIGEN_PREDICT_TRUE(x) (x)
1323 #endif
1324 
1325 // the expression type of a standard coefficient wise binary operation
1326 #define EIGEN_CWISE_BINARY_RETURN_TYPE(LHS,RHS,OPNAME) \
1327  CwiseBinaryOp< \
1328  EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)< \
1329  typename internal::traits<LHS>::Scalar, \
1330  typename internal::traits<RHS>::Scalar \
1331  >, \
1332  const LHS, \
1333  const RHS \
1334  >
1335 
1336 #define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,OPNAME) \
1337  template<typename OtherDerived> \
1338  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME) \
1339  (METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
1340  { \
1341  return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived,OtherDerived,OPNAME)(derived(), other.derived()); \
1342  }
1343 
1344 #define EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,TYPEA,TYPEB) \
1345  (Eigen::internal::has_ReturnType<Eigen::ScalarBinaryOpTraits<TYPEA,TYPEB,EIGEN_CAT(EIGEN_CAT(Eigen::internal::scalar_,OPNAME),_op)<TYPEA,TYPEB> > >::value)
1346 
1347 #define EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(EXPR,SCALAR,OPNAME) \
1348  CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<typename internal::traits<EXPR>::Scalar,SCALAR>, const EXPR, \
1349  const typename internal::plain_constant_type<EXPR,SCALAR>::type>
1350 
1351 #define EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(SCALAR,EXPR,OPNAME) \
1352  CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_,OPNAME),_op)<SCALAR,typename internal::traits<EXPR>::Scalar>, \
1353  const typename internal::plain_constant_type<EXPR,SCALAR>::type, const EXPR>
1354 
1355 // Workaround for MSVC 2010 (see ML thread "patch with compile for for MSVC 2010")
1356 #if EIGEN_COMP_MSVC_STRICT && (EIGEN_COMP_MSVC_STRICT<=1600)
1357 #define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) typename internal::enable_if<true,X>::type
1358 #else
1359 #define EIGEN_MSVC10_WORKAROUND_BINARYOP_RETURN_TYPE(X) X
1360 #endif
1361 
1362 #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME) \
1363  template <typename T> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE \
1364  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))\
1365  (METHOD)(const T& scalar) const { \
1366  typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,Scalar,T)>::type PromotedT; \
1367  return EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived,PromotedT,OPNAME)(derived(), \
1368  typename internal::plain_constant_type<Derived,PromotedT>::type(derived().rows(), derived().cols(), internal::scalar_constant_op<PromotedT>(scalar))); \
1369  }
1370 
1371 #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
1372  template <typename T> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE friend \
1373  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)) \
1374  (METHOD)(const T& scalar, const StorageBaseType& matrix) { \
1375  typedef typename internal::promote_scalar_arg<Scalar,T,EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME,T,Scalar)>::type PromotedT; \
1376  return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedT,Derived,OPNAME)( \
1377  typename internal::plain_constant_type<Derived,PromotedT>::type(matrix.derived().rows(), matrix.derived().cols(), internal::scalar_constant_op<PromotedT>(scalar)), matrix.derived()); \
1378  }
1379 
1380 #define EIGEN_MAKE_SCALAR_BINARY_OP(METHOD,OPNAME) \
1381  EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD,OPNAME) \
1382  EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD,OPNAME)
1383 
1384 
1385 #if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(EIGEN_CUDA_ARCH) && !defined(EIGEN_EXCEPTIONS) && !defined(EIGEN_USE_SYCL) && !defined(EIGEN_HIP_DEVICE_COMPILE)
1386  #define EIGEN_EXCEPTIONS
1387 #endif
1388 
1389 
1390 #ifdef EIGEN_EXCEPTIONS
1391 # define EIGEN_THROW_X(X) throw X
1392 # define EIGEN_THROW throw
1393 # define EIGEN_TRY try
1394 # define EIGEN_CATCH(X) catch (X)
1395 #else
1396 # if defined(EIGEN_CUDA_ARCH)
1397 # define EIGEN_THROW_X(X) asm("trap;")
1398 # define EIGEN_THROW asm("trap;")
1399 # elif defined(EIGEN_HIP_DEVICE_COMPILE)
1400 # define EIGEN_THROW_X(X) asm("s_trap 0")
1401 # define EIGEN_THROW asm("s_trap 0")
1402 # else
1403 # define EIGEN_THROW_X(X) std::abort()
1404 # define EIGEN_THROW std::abort()
1405 # endif
1406 # define EIGEN_TRY if (true)
1407 # define EIGEN_CATCH(X) else
1408 #endif
1409 
1410 
1411 #if EIGEN_HAS_CXX11_NOEXCEPT
1412 # define EIGEN_INCLUDE_TYPE_TRAITS
1413 # define EIGEN_NOEXCEPT noexcept
1414 # define EIGEN_NOEXCEPT_IF(x) noexcept(x)
1415 # define EIGEN_NO_THROW noexcept(true)
1416 # define EIGEN_EXCEPTION_SPEC(X) noexcept(false)
1417 #else
1418 # define EIGEN_NOEXCEPT
1419 # define EIGEN_NOEXCEPT_IF(x)
1420 # define EIGEN_NO_THROW throw()
1421 # if EIGEN_COMP_MSVC || EIGEN_COMP_CXXVER>=17
1422  // MSVC does not support exception specifications (warning C4290),
1423  // and they are deprecated in c++11 anyway. This is even an error in c++17.
1424 # define EIGEN_EXCEPTION_SPEC(X) throw()
1425 # else
1426 # define EIGEN_EXCEPTION_SPEC(X) throw(X)
1427 # endif
1428 #endif
1429 
1430 #if EIGEN_HAS_VARIADIC_TEMPLATES
1431 // The all function is used to enable a variadic version of eigen_assert which can take a parameter pack as its input.
1432 namespace Eigen {
1433 namespace internal {
1434 
1435 inline bool all(){ return true; }
1436 
1437 template<typename T, typename ...Ts>
1438 bool all(T t, Ts ... ts){ return t && all(ts...); }
1439 
1440 }
1441 }
1442 #endif
1443 
1444 #if EIGEN_HAS_CXX11_OVERRIDE_FINAL
1445 // provide override and final specifiers if they are available:
1446 # define EIGEN_OVERRIDE override
1447 # define EIGEN_FINAL final
1448 #else
1449 # define EIGEN_OVERRIDE
1450 # define EIGEN_FINAL
1451 #endif
1452 
1453 // Wrapping #pragma unroll in a macro since it is required for SYCL
1454 #if defined(SYCL_DEVICE_ONLY)
1455  #if defined(_MSC_VER)
1456  #define EIGEN_UNROLL_LOOP __pragma(unroll)
1457  #else
1458  #define EIGEN_UNROLL_LOOP _Pragma("unroll")
1459  #endif
1460 #else
1461  #define EIGEN_UNROLL_LOOP
1462 #endif
1463 
1464 #endif // EIGEN_MACROS_H
EIGEN_DEVICE_FUNC
#define EIGEN_DEVICE_FUNC
Definition: Macros.h:976
Eigen
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
b
Scalar * b
Definition: benchVecAdd.cpp:17
T
Eigen::Triplet< double > T
Definition: Tutorial_sparse_example.cpp:6
Eigen::internal::copy_bool
bool copy_bool(bool b)
Definition: Macros.h:1004
Eigen::internal::ignore_unused_variable
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void ignore_unused_variable(const T &)
Definition: Macros.h:1073
Eigen::all
static const Eigen::internal::all_t all
Definition: IndexedViewHelper.h:171
EIGEN_STRONG_INLINE
#define EIGEN_STRONG_INLINE
Definition: Macros.h:917
Eigen::Triplet< double >
internal
Definition: BandTriangularSolver.h:13
align_3::t
Point2 t(10, 10)
matlab_wrap.file
file
Definition: matlab_wrap.py:57
EIGEN_DONT_INLINE
#define EIGEN_DONT_INLINE
Definition: Macros.h:940

gtsam
Author(s):
autogenerated on Wed May 15 2024 15:19:21