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1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2007-2011 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_CORE_H
12#define EIGEN_CORE_H
13
14// first thing Eigen does: stop the compiler from committing suicide
15#include "src/Core/util/DisableStupidWarnings.h"
16
17// Handle NVCC/CUDA/SYCL
18#if defined(__CUDACC__) || defined(__SYCL_DEVICE_ONLY__)
19  // Do not try asserts on CUDA and SYCL!
20  #ifndef EIGEN_NO_DEBUG
21  #define EIGEN_NO_DEBUG
22  #endif
23
24  #ifdef EIGEN_INTERNAL_DEBUGGING
25  #undef EIGEN_INTERNAL_DEBUGGING
26  #endif
27
28  #ifdef EIGEN_EXCEPTIONS
29  #undef EIGEN_EXCEPTIONS
30  #endif
31
32  // All functions callable from CUDA code must be qualified with __device__
33  #ifdef __CUDACC__
34    // Do not try to vectorize on CUDA and SYCL!
35    #ifndef EIGEN_DONT_VECTORIZE
36    #define EIGEN_DONT_VECTORIZE
37    #endif
38
39    #define EIGEN_DEVICE_FUNC __host__ __device__
40    // We need math_functions.hpp to ensure that that EIGEN_USING_STD_MATH macro
41    // works properly on the device side
42    #include <math_functions.hpp>
43  #else
44    #define EIGEN_DEVICE_FUNC
45  #endif
46
47#else
48  #define EIGEN_DEVICE_FUNC
49
50#endif
51
52// When compiling CUDA device code with NVCC, pull in math functions from the
53// global namespace.  In host mode, and when device doee with clang, use the
54// std versions.
55#if defined(__CUDA_ARCH__) && defined(__NVCC__)
56  #define EIGEN_USING_STD_MATH(FUNC) using ::FUNC;
57#else
58  #define EIGEN_USING_STD_MATH(FUNC) using std::FUNC;
59#endif
60
61#if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(__CUDA_ARCH__) && !defined(EIGEN_EXCEPTIONS) && !defined(EIGEN_USE_SYCL)
62  #define EIGEN_EXCEPTIONS
63#endif
64
65#ifdef EIGEN_EXCEPTIONS
66  #include <new>
67#endif
68
69// then include this file where all our macros are defined. It's really important to do it first because
70// it's where we do all the alignment settings (platform detection and honoring the user's will if he
71// defined e.g. EIGEN_DONT_ALIGN) so it needs to be done before we do anything with vectorization.
72#include "src/Core/util/Macros.h"
73
74// Disable the ipa-cp-clone optimization flag with MinGW 6.x or newer (enabled by default with -O3)
75// See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=556 for details.
76#if EIGEN_COMP_MINGW && EIGEN_GNUC_AT_LEAST(4,6)
77  #pragma GCC optimize ("-fno-ipa-cp-clone")
78#endif
79
80#include <complex>
81
82// this include file manages BLAS and MKL related macros
83// and inclusion of their respective header files
84#include "src/Core/util/MKL_support.h"
85
86// if alignment is disabled, then disable vectorization. Note: EIGEN_MAX_ALIGN_BYTES is the proper check, it takes into
87// account both the user's will (EIGEN_MAX_ALIGN_BYTES,EIGEN_DONT_ALIGN) and our own platform checks
88#if EIGEN_MAX_ALIGN_BYTES==0
89  #ifndef EIGEN_DONT_VECTORIZE
90    #define EIGEN_DONT_VECTORIZE
91  #endif
92#endif
93
94#if EIGEN_COMP_MSVC
95  #include <malloc.h> // for _aligned_malloc -- need it regardless of whether vectorization is enabled
96  #if (EIGEN_COMP_MSVC >= 1500) // 2008 or later
97    // Remember that usage of defined() in a #define is undefined by the standard.
98    // a user reported that in 64-bit mode, MSVC doesn't care to define _M_IX86_FP.
99    #if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || EIGEN_ARCH_x86_64
100      #define EIGEN_SSE2_ON_MSVC_2008_OR_LATER
101    #endif
102  #endif
103#else
104  // Remember that usage of defined() in a #define is undefined by the standard
105  #if (defined __SSE2__) && ( (!EIGEN_COMP_GNUC) || EIGEN_COMP_ICC || EIGEN_GNUC_AT_LEAST(4,2) )
106    #define EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC
107  #endif
108#endif
109
110#ifndef EIGEN_DONT_VECTORIZE
111
112  #if defined (EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC) || defined(EIGEN_SSE2_ON_MSVC_2008_OR_LATER)
113
114    // Defines symbols for compile-time detection of which instructions are
115    // used.
116    // EIGEN_VECTORIZE_YY is defined if and only if the instruction set YY is used
117    #define EIGEN_VECTORIZE
118    #define EIGEN_VECTORIZE_SSE
119    #define EIGEN_VECTORIZE_SSE2
120
121    // Detect sse3/ssse3/sse4:
122    // gcc and icc defines __SSE3__, ...
123    // there is no way to know about this on msvc. You can define EIGEN_VECTORIZE_SSE* if you
124    // want to force the use of those instructions with msvc.
125    #ifdef __SSE3__
126      #define EIGEN_VECTORIZE_SSE3
127    #endif
128    #ifdef __SSSE3__
129      #define EIGEN_VECTORIZE_SSSE3
130    #endif
131    #ifdef __SSE4_1__
132      #define EIGEN_VECTORIZE_SSE4_1
133    #endif
134    #ifdef __SSE4_2__
135      #define EIGEN_VECTORIZE_SSE4_2
136    #endif
137    #ifdef __AVX__
138      #define EIGEN_VECTORIZE_AVX
139      #define EIGEN_VECTORIZE_SSE3
140      #define EIGEN_VECTORIZE_SSSE3
141      #define EIGEN_VECTORIZE_SSE4_1
142      #define EIGEN_VECTORIZE_SSE4_2
143    #endif
144    #ifdef __AVX2__
145      #define EIGEN_VECTORIZE_AVX2
146    #endif
147    #ifdef __FMA__
148      #define EIGEN_VECTORIZE_FMA
149    #endif
150    #if defined(__AVX512F__) && defined(EIGEN_ENABLE_AVX512)
151      #define EIGEN_VECTORIZE_AVX512
152      #define EIGEN_VECTORIZE_AVX2
153      #define EIGEN_VECTORIZE_AVX
154      #define EIGEN_VECTORIZE_FMA
155      #ifdef __AVX512DQ__
156        #define EIGEN_VECTORIZE_AVX512DQ
157      #endif
158    #endif
159
160    // include files
161
162    // This extern "C" works around a MINGW-w64 compilation issue
163    // https://sourceforge.net/tracker/index.php?func=detail&aid=3018394&group_id=202880&atid=983354
164    // In essence, intrin.h is included by windows.h and also declares intrinsics (just as emmintrin.h etc. below do).
165    // However, intrin.h uses an extern "C" declaration, and g++ thus complains of duplicate declarations
166    // with conflicting linkage.  The linkage for intrinsics doesn't matter, but at that stage the compiler doesn't know;
167    // so, to avoid compile errors when windows.h is included after Eigen/Core, ensure intrinsics are extern "C" here too.
168    // notice that since these are C headers, the extern "C" is theoretically needed anyways.
169    extern "C" {
170      // In theory we should only include immintrin.h and not the other *mmintrin.h header files directly.
171      // Doing so triggers some issues with ICC. However old gcc versions seems to not have this file, thus:
172      #if EIGEN_COMP_ICC >= 1110
173        #include <immintrin.h>
174      #else
175        #include <mmintrin.h>
176        #include <emmintrin.h>
177        #include <xmmintrin.h>
178        #ifdef  EIGEN_VECTORIZE_SSE3
179        #include <pmmintrin.h>
180        #endif
181        #ifdef EIGEN_VECTORIZE_SSSE3
182        #include <tmmintrin.h>
183        #endif
184        #ifdef EIGEN_VECTORIZE_SSE4_1
185        #include <smmintrin.h>
186        #endif
187        #ifdef EIGEN_VECTORIZE_SSE4_2
188        #include <nmmintrin.h>
189        #endif
190        #if defined(EIGEN_VECTORIZE_AVX) || defined(EIGEN_VECTORIZE_AVX512)
191        #include <immintrin.h>
192        #endif
193      #endif
194    } // end extern "C"
195  #elif defined __VSX__
196    #define EIGEN_VECTORIZE
197    #define EIGEN_VECTORIZE_VSX
198    #include <altivec.h>
199    // We need to #undef all these ugly tokens defined in <altivec.h>
200    // => use __vector instead of vector
201    #undef bool
202    #undef vector
203    #undef pixel
204  #elif defined __ALTIVEC__
205    #define EIGEN_VECTORIZE
206    #define EIGEN_VECTORIZE_ALTIVEC
207    #include <altivec.h>
208    // We need to #undef all these ugly tokens defined in <altivec.h>
209    // => use __vector instead of vector
210    #undef bool
211    #undef vector
212    #undef pixel
213  #elif (defined  __ARM_NEON) || (defined __ARM_NEON__)
214    #define EIGEN_VECTORIZE
215    #define EIGEN_VECTORIZE_NEON
216    #include <arm_neon.h>
217  #elif (defined __s390x__ && defined __VEC__)
218    #define EIGEN_VECTORIZE
219    #define EIGEN_VECTORIZE_ZVECTOR
220    #include <vecintrin.h>
221  #endif
222#endif
223
224#if defined(__F16C__) && !defined(EIGEN_COMP_CLANG)
225  // We can use the optimized fp16 to float and float to fp16 conversion routines
226  #define EIGEN_HAS_FP16_C
227#endif
228
229#if defined __CUDACC__
230  #define EIGEN_VECTORIZE_CUDA
231  #include <vector_types.h>
232  #if defined __CUDACC_VER__ && __CUDACC_VER__ >= 70500
233    #define EIGEN_HAS_CUDA_FP16
234  #endif
235#endif
236
237#if defined EIGEN_HAS_CUDA_FP16
238  #include <host_defines.h>
239  #include <cuda_fp16.h>
240#endif
241
242#if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE)
243  #define EIGEN_HAS_OPENMP
244#endif
245
246#ifdef EIGEN_HAS_OPENMP
247#include <omp.h>
248#endif
249
250// MSVC for windows mobile does not have the errno.h file
251#if !(EIGEN_COMP_MSVC && EIGEN_OS_WINCE) && !EIGEN_COMP_ARM
252#define EIGEN_HAS_ERRNO
253#endif
254
255#ifdef EIGEN_HAS_ERRNO
256#include <cerrno>
257#endif
258#include <cstddef>
259#include <cstdlib>
260#include <cmath>
261#include <cassert>
262#include <functional>
263#include <iosfwd>
264#include <cstring>
265#include <string>
266#include <limits>
267#include <climits> // for CHAR_BIT
268// for min/max:
269#include <algorithm>
270
271// for std::is_nothrow_move_assignable
272#ifdef EIGEN_INCLUDE_TYPE_TRAITS
273#include <type_traits>
274#endif
275
276// for outputting debug info
277#ifdef EIGEN_DEBUG_ASSIGN
278#include <iostream>
279#endif
280
281// required for __cpuid, needs to be included after cmath
282#if EIGEN_COMP_MSVC && EIGEN_ARCH_i386_OR_x86_64 && !EIGEN_OS_WINCE
283  #include <intrin.h>
284#endif
285
286/** \brief Namespace containing all symbols from the %Eigen library. */
287namespace Eigen {
288
289inline static const char *SimdInstructionSetsInUse(void) {
290#if defined(EIGEN_VECTORIZE_AVX512)
291  return "AVX512, FMA, AVX2, AVX, SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
292#elif defined(EIGEN_VECTORIZE_AVX)
293  return "AVX SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
294#elif defined(EIGEN_VECTORIZE_SSE4_2)
295  return "SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
296#elif defined(EIGEN_VECTORIZE_SSE4_1)
297  return "SSE, SSE2, SSE3, SSSE3, SSE4.1";
298#elif defined(EIGEN_VECTORIZE_SSSE3)
299  return "SSE, SSE2, SSE3, SSSE3";
300#elif defined(EIGEN_VECTORIZE_SSE3)
301  return "SSE, SSE2, SSE3";
302#elif defined(EIGEN_VECTORIZE_SSE2)
303  return "SSE, SSE2";
304#elif defined(EIGEN_VECTORIZE_ALTIVEC)
305  return "AltiVec";
306#elif defined(EIGEN_VECTORIZE_VSX)
307  return "VSX";
308#elif defined(EIGEN_VECTORIZE_NEON)
309  return "ARM NEON";
310#elif defined(EIGEN_VECTORIZE_ZVECTOR)
311  return "S390X ZVECTOR";
312#else
313  return "None";
314#endif
315}
316
317} // end namespace Eigen
318
319#if defined EIGEN2_SUPPORT_STAGE40_FULL_EIGEN3_STRICTNESS || defined EIGEN2_SUPPORT_STAGE30_FULL_EIGEN3_API || defined EIGEN2_SUPPORT_STAGE20_RESOLVE_API_CONFLICTS || defined EIGEN2_SUPPORT_STAGE10_FULL_EIGEN2_API || defined EIGEN2_SUPPORT
320// This will generate an error message:
321#error Eigen2-support is only available up to version 3.2. Please go to "http://eigen.tuxfamily.org/index.php?title=Eigen2" for further information
322#endif
323
324namespace Eigen {
325
326// we use size_t frequently and we'll never remember to prepend it with std:: everytime just to
327// ensure QNX/QCC support
328using std::size_t;
329// gcc 4.6.0 wants std:: for ptrdiff_t
330using std::ptrdiff_t;
331
332}
333
334/** \defgroup Core_Module Core module
335  * This is the main module of Eigen providing dense matrix and vector support
336  * (both fixed and dynamic size) with all the features corresponding to a BLAS library
337  * and much more...
338  *
339  * \code
340  * #include <Eigen/Core>
341  * \endcode
342  */
343
344#include "src/Core/util/Constants.h"
345#include "src/Core/util/Meta.h"
346#include "src/Core/util/ForwardDeclarations.h"
347#include "src/Core/util/StaticAssert.h"
348#include "src/Core/util/XprHelper.h"
349#include "src/Core/util/Memory.h"
350
351#include "src/Core/NumTraits.h"
352#include "src/Core/MathFunctions.h"
353#include "src/Core/GenericPacketMath.h"
354#include "src/Core/MathFunctionsImpl.h"
355
356#if defined EIGEN_VECTORIZE_AVX512
357  #include "src/Core/arch/SSE/PacketMath.h"
358  #include "src/Core/arch/AVX/PacketMath.h"
359  #include "src/Core/arch/AVX512/PacketMath.h"
360  #include "src/Core/arch/AVX512/MathFunctions.h"
361#elif defined EIGEN_VECTORIZE_AVX
362  // Use AVX for floats and doubles, SSE for integers
363  #include "src/Core/arch/SSE/PacketMath.h"
364  #include "src/Core/arch/SSE/Complex.h"
365  #include "src/Core/arch/SSE/MathFunctions.h"
366  #include "src/Core/arch/AVX/PacketMath.h"
367  #include "src/Core/arch/AVX/MathFunctions.h"
368  #include "src/Core/arch/AVX/Complex.h"
369  #include "src/Core/arch/AVX/TypeCasting.h"
370#elif defined EIGEN_VECTORIZE_SSE
371  #include "src/Core/arch/SSE/PacketMath.h"
372  #include "src/Core/arch/SSE/MathFunctions.h"
373  #include "src/Core/arch/SSE/Complex.h"
374  #include "src/Core/arch/SSE/TypeCasting.h"
375#elif defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX)
376  #include "src/Core/arch/AltiVec/PacketMath.h"
377  #include "src/Core/arch/AltiVec/MathFunctions.h"
378  #include "src/Core/arch/AltiVec/Complex.h"
379#elif defined EIGEN_VECTORIZE_NEON
380  #include "src/Core/arch/NEON/PacketMath.h"
381  #include "src/Core/arch/NEON/MathFunctions.h"
382  #include "src/Core/arch/NEON/Complex.h"
383#elif defined EIGEN_VECTORIZE_ZVECTOR
384  #include "src/Core/arch/ZVector/PacketMath.h"
385  #include "src/Core/arch/ZVector/MathFunctions.h"
386  #include "src/Core/arch/ZVector/Complex.h"
387#endif
388
389// Half float support
390#include "src/Core/arch/CUDA/Half.h"
391#include "src/Core/arch/CUDA/PacketMathHalf.h"
392#include "src/Core/arch/CUDA/TypeCasting.h"
393
394#if defined EIGEN_VECTORIZE_CUDA
395  #include "src/Core/arch/CUDA/PacketMath.h"
396  #include "src/Core/arch/CUDA/MathFunctions.h"
397#endif
398
399#include "src/Core/arch/Default/Settings.h"
400
401#include "src/Core/functors/TernaryFunctors.h"
402#include "src/Core/functors/BinaryFunctors.h"
403#include "src/Core/functors/UnaryFunctors.h"
404#include "src/Core/functors/NullaryFunctors.h"
405#include "src/Core/functors/StlFunctors.h"
406#include "src/Core/functors/AssignmentFunctors.h"
407
408// Specialized functors to enable the processing of complex numbers
409// on CUDA devices
410#include "src/Core/arch/CUDA/Complex.h"
411
412#include "src/Core/IO.h"
413#include "src/Core/DenseCoeffsBase.h"
414#include "src/Core/DenseBase.h"
415#include "src/Core/MatrixBase.h"
416#include "src/Core/EigenBase.h"
417
418#include "src/Core/Product.h"
419#include "src/Core/CoreEvaluators.h"
420#include "src/Core/AssignEvaluator.h"
421
422#ifndef EIGEN_PARSED_BY_DOXYGEN // work around Doxygen bug triggered by Assign.h r814874
423                                // at least confirmed with Doxygen 1.5.5 and 1.5.6
424  #include "src/Core/Assign.h"
425#endif
426
427#include "src/Core/ArrayBase.h"
428#include "src/Core/util/BlasUtil.h"
429#include "src/Core/DenseStorage.h"
430#include "src/Core/NestByValue.h"
431
432// #include "src/Core/ForceAlignedAccess.h"
433
434#include "src/Core/ReturnByValue.h"
435#include "src/Core/NoAlias.h"
436#include "src/Core/PlainObjectBase.h"
437#include "src/Core/Matrix.h"
438#include "src/Core/Array.h"
439#include "src/Core/CwiseTernaryOp.h"
440#include "src/Core/CwiseBinaryOp.h"
441#include "src/Core/CwiseUnaryOp.h"
442#include "src/Core/CwiseNullaryOp.h"
443#include "src/Core/CwiseUnaryView.h"
444#include "src/Core/SelfCwiseBinaryOp.h"
445#include "src/Core/Dot.h"
446#include "src/Core/StableNorm.h"
447#include "src/Core/Stride.h"
448#include "src/Core/MapBase.h"
449#include "src/Core/Map.h"
450#include "src/Core/Ref.h"
451#include "src/Core/Block.h"
452#include "src/Core/VectorBlock.h"
453#include "src/Core/Transpose.h"
454#include "src/Core/DiagonalMatrix.h"
455#include "src/Core/Diagonal.h"
456#include "src/Core/DiagonalProduct.h"
457#include "src/Core/Redux.h"
458#include "src/Core/Visitor.h"
459#include "src/Core/Fuzzy.h"
460#include "src/Core/Swap.h"
461#include "src/Core/CommaInitializer.h"
462#include "src/Core/GeneralProduct.h"
463#include "src/Core/Solve.h"
464#include "src/Core/Inverse.h"
465#include "src/Core/SolverBase.h"
466#include "src/Core/PermutationMatrix.h"
467#include "src/Core/Transpositions.h"
468#include "src/Core/TriangularMatrix.h"
469#include "src/Core/SelfAdjointView.h"
470#include "src/Core/products/GeneralBlockPanelKernel.h"
471#include "src/Core/products/Parallelizer.h"
472#include "src/Core/ProductEvaluators.h"
473#include "src/Core/products/GeneralMatrixVector.h"
474#include "src/Core/products/GeneralMatrixMatrix.h"
475#include "src/Core/SolveTriangular.h"
476#include "src/Core/products/GeneralMatrixMatrixTriangular.h"
477#include "src/Core/products/SelfadjointMatrixVector.h"
478#include "src/Core/products/SelfadjointMatrixMatrix.h"
479#include "src/Core/products/SelfadjointProduct.h"
480#include "src/Core/products/SelfadjointRank2Update.h"
481#include "src/Core/products/TriangularMatrixVector.h"
482#include "src/Core/products/TriangularMatrixMatrix.h"
483#include "src/Core/products/TriangularSolverMatrix.h"
484#include "src/Core/products/TriangularSolverVector.h"
485#include "src/Core/BandMatrix.h"
486#include "src/Core/CoreIterators.h"
487#include "src/Core/ConditionEstimator.h"
488
489#include "src/Core/BooleanRedux.h"
490#include "src/Core/Select.h"
491#include "src/Core/VectorwiseOp.h"
492#include "src/Core/Random.h"
493#include "src/Core/Replicate.h"
494#include "src/Core/Reverse.h"
495#include "src/Core/ArrayWrapper.h"
496
497#ifdef EIGEN_USE_BLAS
498#include "src/Core/products/GeneralMatrixMatrix_BLAS.h"
499#include "src/Core/products/GeneralMatrixVector_BLAS.h"
500#include "src/Core/products/GeneralMatrixMatrixTriangular_BLAS.h"
501#include "src/Core/products/SelfadjointMatrixMatrix_BLAS.h"
502#include "src/Core/products/SelfadjointMatrixVector_BLAS.h"
503#include "src/Core/products/TriangularMatrixMatrix_BLAS.h"
504#include "src/Core/products/TriangularMatrixVector_BLAS.h"
505#include "src/Core/products/TriangularSolverMatrix_BLAS.h"
506#endif // EIGEN_USE_BLAS
507
508#ifdef EIGEN_USE_MKL_VML
509#include "src/Core/Assign_MKL.h"
510#endif
511
512#include "src/Core/GlobalFunctions.h"
513
514#include "src/Core/util/ReenableStupidWarnings.h"
515
516#endif // EIGEN_CORE_H
517