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							445 lines
						
					
					
						
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				| // This file is part of Eigen, a lightweight C++ template library | |
| // for linear algebra. | |
| // | |
| // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr> | |
| // Copyright (C) 2007-2011 Benoit Jacob <jacob.benoit.1@gmail.com> | |
| // | |
| // This Source Code Form is subject to the terms of the Mozilla | |
| // Public License v. 2.0. If a copy of the MPL was not distributed | |
| // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | |
| 
 | |
| #ifndef EIGEN_CORE_H | |
| #define EIGEN_CORE_H | |
| 
 | |
| // first thing Eigen does: stop the compiler from committing suicide | |
| #include "src/Core/util/DisableStupidWarnings.h" | |
| 
 | |
| // Handle NVCC/CUDA | |
| #ifdef __CUDACC__ | |
|   // Do not try asserts on CUDA! | |
|   #ifndef EIGEN_NO_DEBUG | |
|   #define EIGEN_NO_DEBUG | |
|   #endif | |
| 
 | |
|   #ifdef EIGEN_INTERNAL_DEBUGGING | |
|   #undef EIGEN_INTERNAL_DEBUGGING | |
|   #endif | |
| 
 | |
|   // Do not try to vectorize on CUDA! | |
|   #ifndef EIGEN_DONT_VECTORIZE | |
|   #define EIGEN_DONT_VECTORIZE | |
|   #endif | |
| 
 | |
|   #ifdef EIGEN_EXCEPTIONS | |
|   #undef EIGEN_EXCEPTIONS | |
|   #endif | |
|    | |
|   // All functions callable from CUDA code must be qualified with __device__ | |
|   #define EIGEN_DEVICE_FUNC __host__ __device__ | |
|    | |
| #else | |
|   #define EIGEN_DEVICE_FUNC | |
|    | |
| #endif | |
| 
 | |
| #if defined(__CUDA_ARCH__) | |
|   #define EIGEN_USING_STD_MATH(FUNC) using ::FUNC; | |
| #else | |
|   #define EIGEN_USING_STD_MATH(FUNC) using std::FUNC; | |
| #endif | |
| 
 | |
| #if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(__CUDA_ARCH__) && !defined(EIGEN_EXCEPTIONS) | |
|   #define EIGEN_EXCEPTIONS | |
| #endif | |
| 
 | |
| #ifdef EIGEN_EXCEPTIONS | |
|   #include <new> | |
| #endif | |
| 
 | |
| // then include this file where all our macros are defined. It's really important to do it first because | |
| // it's where we do all the alignment settings (platform detection and honoring the user's will if he | |
| // defined e.g. EIGEN_DONT_ALIGN) so it needs to be done before we do anything with vectorization. | |
| #include "src/Core/util/Macros.h" | |
| 
 | |
| // Disable the ipa-cp-clone optimization flag with MinGW 6.x or newer (enabled by default with -O3) | |
| // See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=556 for details. | |
| #if EIGEN_COMP_MINGW && EIGEN_GNUC_AT_LEAST(4,6) | |
|   #pragma GCC optimize ("-fno-ipa-cp-clone") | |
| #endif | |
| 
 | |
| #include <complex> | |
| 
 | |
| // this include file manages BLAS and MKL related macros | |
| // and inclusion of their respective header files | |
| #include "src/Core/util/MKL_support.h" | |
| 
 | |
| // if alignment is disabled, then disable vectorization. Note: EIGEN_MAX_ALIGN_BYTES is the proper check, it takes into | |
| // account both the user's will (EIGEN_MAX_ALIGN_BYTES,EIGEN_DONT_ALIGN) and our own platform checks | |
| #if EIGEN_MAX_ALIGN_BYTES==0 | |
|   #ifndef EIGEN_DONT_VECTORIZE | |
|     #define EIGEN_DONT_VECTORIZE | |
|   #endif | |
| #endif | |
| 
 | |
| #if EIGEN_COMP_MSVC | |
|   #include <malloc.h> // for _aligned_malloc -- need it regardless of whether vectorization is enabled | |
|   #if (EIGEN_COMP_MSVC >= 1500) // 2008 or later | |
|     // Remember that usage of defined() in a #define is undefined by the standard. | |
|     // a user reported that in 64-bit mode, MSVC doesn't care to define _M_IX86_FP. | |
|     #if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || EIGEN_ARCH_x86_64 | |
|       #define EIGEN_SSE2_ON_MSVC_2008_OR_LATER | |
|     #endif | |
|   #endif | |
| #else | |
|   // Remember that usage of defined() in a #define is undefined by the standard | |
|   #if (defined __SSE2__) && ( (!EIGEN_COMP_GNUC) || EIGEN_COMP_ICC || EIGEN_GNUC_AT_LEAST(4,2) ) | |
|     #define EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC | |
|   #endif | |
| #endif | |
| 
 | |
| #ifndef EIGEN_DONT_VECTORIZE | |
| 
 | |
|   #if defined (EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC) || defined(EIGEN_SSE2_ON_MSVC_2008_OR_LATER) | |
| 
 | |
|     // Defines symbols for compile-time detection of which instructions are | |
|     // used. | |
|     // EIGEN_VECTORIZE_YY is defined if and only if the instruction set YY is used | |
|     #define EIGEN_VECTORIZE | |
|     #define EIGEN_VECTORIZE_SSE | |
|     #define EIGEN_VECTORIZE_SSE2 | |
| 
 | |
|     // Detect sse3/ssse3/sse4: | |
|     // gcc and icc defines __SSE3__, ... | |
|     // there is no way to know about this on msvc. You can define EIGEN_VECTORIZE_SSE* if you | |
|     // want to force the use of those instructions with msvc. | |
|     #ifdef __SSE3__ | |
|       #define EIGEN_VECTORIZE_SSE3 | |
|     #endif | |
|     #ifdef __SSSE3__ | |
|       #define EIGEN_VECTORIZE_SSSE3 | |
|     #endif | |
|     #ifdef __SSE4_1__ | |
|       #define EIGEN_VECTORIZE_SSE4_1 | |
|     #endif | |
|     #ifdef __SSE4_2__ | |
|       #define EIGEN_VECTORIZE_SSE4_2 | |
|     #endif | |
|     #ifdef __AVX__ | |
|       #define EIGEN_VECTORIZE_AVX | |
|       #define EIGEN_VECTORIZE_SSE3 | |
|       #define EIGEN_VECTORIZE_SSSE3 | |
|       #define EIGEN_VECTORIZE_SSE4_1 | |
|       #define EIGEN_VECTORIZE_SSE4_2 | |
|     #endif | |
|     #ifdef __AVX2__ | |
|       #define EIGEN_VECTORIZE_AVX2 | |
|     #endif | |
|     #ifdef __FMA__ | |
|       #define EIGEN_VECTORIZE_FMA | |
|     #endif | |
| 
 | |
|     // include files | |
| 
 | |
|     // This extern "C" works around a MINGW-w64 compilation issue | |
|     // https://sourceforge.net/tracker/index.php?func=detail&aid=3018394&group_id=202880&atid=983354 | |
|     // In essence, intrin.h is included by windows.h and also declares intrinsics (just as emmintrin.h etc. below do). | |
|     // However, intrin.h uses an extern "C" declaration, and g++ thus complains of duplicate declarations | |
|     // with conflicting linkage.  The linkage for intrinsics doesn't matter, but at that stage the compiler doesn't know; | |
|     // so, to avoid compile errors when windows.h is included after Eigen/Core, ensure intrinsics are extern "C" here too. | |
|     // notice that since these are C headers, the extern "C" is theoretically needed anyways. | |
|     extern "C" { | |
|       // In theory we should only include immintrin.h and not the other *mmintrin.h header files directly. | |
|       // Doing so triggers some issues with ICC. However old gcc versions seems to not have this file, thus: | |
|       #if EIGEN_COMP_ICC >= 1110 | |
|         #include <immintrin.h> | |
|       #else | |
|         #include <emmintrin.h> | |
|         #include <xmmintrin.h> | |
|         #ifdef  EIGEN_VECTORIZE_SSE3 | |
|         #include <pmmintrin.h> | |
|         #endif | |
|         #ifdef EIGEN_VECTORIZE_SSSE3 | |
|         #include <tmmintrin.h> | |
|         #endif | |
|         #ifdef EIGEN_VECTORIZE_SSE4_1 | |
|         #include <smmintrin.h> | |
|         #endif | |
|         #ifdef EIGEN_VECTORIZE_SSE4_2 | |
|         #include <nmmintrin.h> | |
|         #endif | |
|         #ifdef EIGEN_VECTORIZE_AVX | |
|         #include <immintrin.h> | |
|         #endif | |
|       #endif | |
|     } // end extern "C" | |
|   #elif defined __VSX__ | |
|     #define EIGEN_VECTORIZE | |
|     #define EIGEN_VECTORIZE_VSX | |
|     #include <altivec.h> | |
|     // We need to #undef all these ugly tokens defined in <altivec.h> | |
|     // => use __vector instead of vector | |
|     #undef bool | |
|     #undef vector | |
|     #undef pixel | |
|   #elif defined __ALTIVEC__ | |
|     #define EIGEN_VECTORIZE | |
|     #define EIGEN_VECTORIZE_ALTIVEC | |
|     #include <altivec.h> | |
|     // We need to #undef all these ugly tokens defined in <altivec.h> | |
|     // => use __vector instead of vector | |
|     #undef bool | |
|     #undef vector | |
|     #undef pixel | |
|   #elif (defined  __ARM_NEON) || (defined __ARM_NEON__) | |
|     #define EIGEN_VECTORIZE | |
|     #define EIGEN_VECTORIZE_NEON | |
|     #include <arm_neon.h> | |
|   #endif | |
| #endif | |
| 
 | |
| #if defined __CUDACC__ | |
|   #define EIGEN_VECTORIZE_CUDA | |
|   #include <vector_types.h> | |
| #endif | |
| 
 | |
| #if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE) | |
|   #define EIGEN_HAS_OPENMP | |
| #endif | |
| 
 | |
| #ifdef EIGEN_HAS_OPENMP | |
| #include <omp.h> | |
| #endif | |
| 
 | |
| // MSVC for windows mobile does not have the errno.h file | |
| #if !(EIGEN_COMP_MSVC && EIGEN_OS_WINCE) && !EIGEN_COMP_ARM | |
| #define EIGEN_HAS_ERRNO | |
| #endif | |
| 
 | |
| #ifdef EIGEN_HAS_ERRNO | |
| #include <cerrno> | |
| #endif | |
| #include <cstddef> | |
| #include <cstdlib> | |
| #include <cmath> | |
| #include <cassert> | |
| #include <functional> | |
| #include <iosfwd> | |
| #include <cstring> | |
| #include <string> | |
| #include <limits> | |
| #include <climits> // for CHAR_BIT | |
| // for min/max: | |
| #include <algorithm> | |
| 
 | |
| // for outputting debug info | |
| #ifdef EIGEN_DEBUG_ASSIGN | |
| #include <iostream> | |
| #endif | |
| 
 | |
| // required for __cpuid, needs to be included after cmath | |
| #if EIGEN_COMP_MSVC && EIGEN_ARCH_i386_OR_x86_64 && !EIGEN_OS_WINCE | |
|   #include <intrin.h> | |
| #endif | |
| 
 | |
| /** \brief Namespace containing all symbols from the %Eigen library. */ | |
| namespace Eigen { | |
| 
 | |
| inline static const char *SimdInstructionSetsInUse(void) { | |
| #if defined(EIGEN_VECTORIZE_AVX) | |
|   return "AVX SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2"; | |
| #elif defined(EIGEN_VECTORIZE_SSE4_2) | |
|   return "SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2"; | |
| #elif defined(EIGEN_VECTORIZE_SSE4_1) | |
|   return "SSE, SSE2, SSE3, SSSE3, SSE4.1"; | |
| #elif defined(EIGEN_VECTORIZE_SSSE3) | |
|   return "SSE, SSE2, SSE3, SSSE3"; | |
| #elif defined(EIGEN_VECTORIZE_SSE3) | |
|   return "SSE, SSE2, SSE3"; | |
| #elif defined(EIGEN_VECTORIZE_SSE2) | |
|   return "SSE, SSE2"; | |
| #elif defined(EIGEN_VECTORIZE_ALTIVEC) | |
|   return "AltiVec"; | |
| #elif defined(EIGEN_VECTORIZE_VSX) | |
|   return "VSX"; | |
| #elif defined(EIGEN_VECTORIZE_NEON) | |
|   return "ARM NEON"; | |
| #else | |
|   return "None"; | |
| #endif | |
| } | |
| 
 | |
| } // end namespace Eigen | |
| 
 | |
| #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 | |
| // This will generate an error message: | |
| #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 | |
| #endif | |
| 
 | |
| // we use size_t frequently and we'll never remember to prepend it with std:: everytime just to | |
| // ensure QNX/QCC support | |
| using std::size_t; | |
| // gcc 4.6.0 wants std:: for ptrdiff_t  | |
| using std::ptrdiff_t; | |
| 
 | |
| /** \defgroup Core_Module Core module | |
|   * This is the main module of Eigen providing dense matrix and vector support | |
|   * (both fixed and dynamic size) with all the features corresponding to a BLAS library | |
|   * and much more... | |
|   * | |
|   * \code | |
|   * #include <Eigen/Core> | |
|   * \endcode | |
|   */ | |
| 
 | |
| #include "src/Core/util/Constants.h" | |
| #include "src/Core/util/Meta.h" | |
| #include "src/Core/util/ForwardDeclarations.h" | |
| #include "src/Core/util/StaticAssert.h" | |
| #include "src/Core/util/XprHelper.h" | |
| #include "src/Core/util/Memory.h" | |
| 
 | |
| #include "src/Core/NumTraits.h" | |
| #include "src/Core/MathFunctions.h" | |
| #include "src/Core/SpecialFunctions.h" | |
| #include "src/Core/GenericPacketMath.h" | |
| 
 | |
| #if defined EIGEN_VECTORIZE_AVX | |
|   // Use AVX for floats and doubles, SSE for integers | |
|   #include "src/Core/arch/SSE/PacketMath.h" | |
|   #include "src/Core/arch/SSE/Complex.h" | |
|   #include "src/Core/arch/SSE/MathFunctions.h" | |
|   #include "src/Core/arch/AVX/PacketMath.h" | |
|   #include "src/Core/arch/AVX/MathFunctions.h" | |
|   #include "src/Core/arch/AVX/Complex.h" | |
|   #include "src/Core/arch/AVX/TypeCasting.h" | |
| #elif defined EIGEN_VECTORIZE_SSE | |
|   #include "src/Core/arch/SSE/PacketMath.h" | |
|   #include "src/Core/arch/SSE/MathFunctions.h" | |
|   #include "src/Core/arch/SSE/Complex.h" | |
|   #include "src/Core/arch/SSE/TypeCasting.h" | |
| #elif defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX) | |
|   #include "src/Core/arch/AltiVec/PacketMath.h" | |
|   #include "src/Core/arch/AltiVec/MathFunctions.h" | |
|   #include "src/Core/arch/AltiVec/Complex.h" | |
| #elif defined EIGEN_VECTORIZE_NEON | |
|   #include "src/Core/arch/NEON/PacketMath.h" | |
|   #include "src/Core/arch/NEON/MathFunctions.h" | |
|   #include "src/Core/arch/NEON/Complex.h" | |
| #endif | |
| 
 | |
| #if defined EIGEN_VECTORIZE_CUDA | |
|   #include "src/Core/arch/CUDA/PacketMath.h" | |
|   #include "src/Core/arch/CUDA/MathFunctions.h" | |
| #endif | |
| 
 | |
| #include "src/Core/arch/Default/Settings.h" | |
| 
 | |
| #include "src/Core/functors/BinaryFunctors.h" | |
| #include "src/Core/functors/UnaryFunctors.h" | |
| #include "src/Core/functors/NullaryFunctors.h" | |
| #include "src/Core/functors/StlFunctors.h" | |
| #include "src/Core/functors/AssignmentFunctors.h" | |
| 
 | |
| #include "src/Core/DenseCoeffsBase.h" | |
| #include "src/Core/DenseBase.h" | |
| #include "src/Core/MatrixBase.h" | |
| #include "src/Core/EigenBase.h" | |
| 
 | |
| #include "src/Core/Product.h" | |
| #include "src/Core/CoreEvaluators.h" | |
| #include "src/Core/AssignEvaluator.h" | |
| 
 | |
| #ifndef EIGEN_PARSED_BY_DOXYGEN // work around Doxygen bug triggered by Assign.h r814874 | |
|                                 // at least confirmed with Doxygen 1.5.5 and 1.5.6 | |
|   #include "src/Core/Assign.h" | |
| #endif | |
| 
 | |
| #include "src/Core/ArrayBase.h" | |
| #include "src/Core/util/BlasUtil.h" | |
| #include "src/Core/DenseStorage.h" | |
| #include "src/Core/NestByValue.h" | |
| 
 | |
| // #include "src/Core/ForceAlignedAccess.h" | |
| 
 | |
| #include "src/Core/ReturnByValue.h" | |
| #include "src/Core/NoAlias.h" | |
| #include "src/Core/PlainObjectBase.h" | |
| #include "src/Core/Matrix.h" | |
| #include "src/Core/Array.h" | |
| #include "src/Core/CwiseBinaryOp.h" | |
| #include "src/Core/CwiseUnaryOp.h" | |
| #include "src/Core/CwiseNullaryOp.h" | |
| #include "src/Core/CwiseUnaryView.h" | |
| #include "src/Core/SelfCwiseBinaryOp.h" | |
| #include "src/Core/Dot.h" | |
| #include "src/Core/StableNorm.h" | |
| #include "src/Core/Stride.h" | |
| #include "src/Core/MapBase.h" | |
| #include "src/Core/Map.h" | |
| #include "src/Core/Ref.h" | |
| #include "src/Core/Block.h" | |
| #include "src/Core/VectorBlock.h" | |
| #include "src/Core/Transpose.h" | |
| #include "src/Core/DiagonalMatrix.h" | |
| #include "src/Core/Diagonal.h" | |
| #include "src/Core/DiagonalProduct.h" | |
| #include "src/Core/Redux.h" | |
| #include "src/Core/Visitor.h" | |
| #include "src/Core/Fuzzy.h" | |
| #include "src/Core/IO.h" | |
| #include "src/Core/Swap.h" | |
| #include "src/Core/CommaInitializer.h" | |
| #include "src/Core/GeneralProduct.h" | |
| #include "src/Core/Solve.h" | |
| #include "src/Core/Inverse.h" | |
| #include "src/Core/SolverBase.h" | |
| #include "src/Core/PermutationMatrix.h" | |
| #include "src/Core/Transpositions.h" | |
| #include "src/Core/TriangularMatrix.h" | |
| #include "src/Core/SelfAdjointView.h" | |
| #include "src/Core/products/GeneralBlockPanelKernel.h" | |
| #include "src/Core/products/Parallelizer.h" | |
| #include "src/Core/ProductEvaluators.h" | |
| #include "src/Core/products/GeneralMatrixVector.h" | |
| #include "src/Core/products/GeneralMatrixMatrix.h" | |
| #include "src/Core/SolveTriangular.h" | |
| #include "src/Core/products/GeneralMatrixMatrixTriangular.h" | |
| #include "src/Core/products/SelfadjointMatrixVector.h" | |
| #include "src/Core/products/SelfadjointMatrixMatrix.h" | |
| #include "src/Core/products/SelfadjointProduct.h" | |
| #include "src/Core/products/SelfadjointRank2Update.h" | |
| #include "src/Core/products/TriangularMatrixVector.h" | |
| #include "src/Core/products/TriangularMatrixMatrix.h" | |
| #include "src/Core/products/TriangularSolverMatrix.h" | |
| #include "src/Core/products/TriangularSolverVector.h" | |
| #include "src/Core/BandMatrix.h" | |
| #include "src/Core/CoreIterators.h" | |
| 
 | |
| #include "src/Core/BooleanRedux.h" | |
| #include "src/Core/Select.h" | |
| #include "src/Core/VectorwiseOp.h" | |
| #include "src/Core/Random.h" | |
| #include "src/Core/Replicate.h" | |
| #include "src/Core/Reverse.h" | |
| #include "src/Core/ArrayWrapper.h" | |
| 
 | |
| #ifdef EIGEN_USE_BLAS | |
| #include "src/Core/products/GeneralMatrixMatrix_MKL.h" | |
| #include "src/Core/products/GeneralMatrixVector_MKL.h" | |
| #include "src/Core/products/GeneralMatrixMatrixTriangular_MKL.h" | |
| #include "src/Core/products/SelfadjointMatrixMatrix_MKL.h" | |
| #include "src/Core/products/SelfadjointMatrixVector_MKL.h" | |
| #include "src/Core/products/TriangularMatrixMatrix_MKL.h" | |
| #include "src/Core/products/TriangularMatrixVector_MKL.h" | |
| #include "src/Core/products/TriangularSolverMatrix_MKL.h" | |
| #endif // EIGEN_USE_BLAS | |
| 
 | |
| #ifdef EIGEN_USE_MKL_VML | |
| #include "src/Core/Assign_MKL.h" | |
| #endif | |
| 
 | |
| #include "src/Core/GlobalFunctions.h" | |
| 
 | |
| #include "src/Core/util/ReenableStupidWarnings.h" | |
| 
 | |
| #endif // EIGEN_CORE_H
 |