|  | // 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 reporting useless warnings. | 
|  | #include "src/Core/util/DisableStupidWarnings.h" | 
|  |  | 
|  | // 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 compiler/OS/arch detections and define most defaults. | 
|  | #include "src/Core/util/Macros.h" | 
|  |  | 
|  | // This detects SSE/AVX/NEON/etc. and configure alignment settings | 
|  | #include "src/Core/util/ConfigureVectorization.h" | 
|  |  | 
|  | // We need cuda_runtime.h/hip_runtime.h to ensure that | 
|  | // the EIGEN_USING_STD macro works properly on the device side | 
|  | #if defined(EIGEN_CUDACC) | 
|  | #include <cuda_runtime.h> | 
|  | #elif defined(EIGEN_HIPCC) | 
|  | #include <hip/hip_runtime.h> | 
|  | #endif | 
|  |  | 
|  |  | 
|  | #ifdef EIGEN_EXCEPTIONS | 
|  | #include <new> | 
|  | #endif | 
|  |  | 
|  | // 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) && EIGEN_GNUC_AT_MOST(5,5) | 
|  | #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 defined(EIGEN_HAS_CUDA_FP16) || defined(EIGEN_HAS_HIP_FP16) | 
|  | #define EIGEN_HAS_GPU_FP16 | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_HAS_CUDA_BF16) || defined(EIGEN_HAS_HIP_BF16) | 
|  | #define EIGEN_HAS_GPU_BF16 | 
|  | #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 <sstream> | 
|  | #ifndef EIGEN_NO_IO | 
|  | #include <iosfwd> | 
|  | #endif | 
|  | #include <cstring> | 
|  | #include <string> | 
|  | #include <limits> | 
|  | #include <climits> // for CHAR_BIT | 
|  | // for min/max: | 
|  | #include <algorithm> | 
|  |  | 
|  | #if EIGEN_HAS_CXX11 | 
|  | #include <array> | 
|  | #endif | 
|  |  | 
|  | // for std::is_nothrow_move_assignable | 
|  | #ifdef EIGEN_INCLUDE_TYPE_TRAITS | 
|  | #include <type_traits> | 
|  | #endif | 
|  |  | 
|  | // 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 | 
|  |  | 
|  | #if defined(EIGEN_USE_SYCL) | 
|  | #undef min | 
|  | #undef max | 
|  | #undef isnan | 
|  | #undef isinf | 
|  | #undef isfinite | 
|  | #include <CL/sycl.hpp> | 
|  | #include <map> | 
|  | #include <memory> | 
|  | #include <utility> | 
|  | #include <thread> | 
|  | #ifndef EIGEN_SYCL_LOCAL_THREAD_DIM0 | 
|  | #define EIGEN_SYCL_LOCAL_THREAD_DIM0 16 | 
|  | #endif | 
|  | #ifndef EIGEN_SYCL_LOCAL_THREAD_DIM1 | 
|  | #define EIGEN_SYCL_LOCAL_THREAD_DIM1 16 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  |  | 
|  | #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 | 
|  |  | 
|  | namespace Eigen { | 
|  |  | 
|  | // we use size_t frequently and we'll never remember to prepend it with std:: every time 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/util/IntegralConstant.h" | 
|  | #include "src/Core/util/SymbolicIndex.h" | 
|  |  | 
|  | #include "src/Core/NumTraits.h" | 
|  | #include "src/Core/MathFunctions.h" | 
|  | #include "src/Core/GenericPacketMath.h" | 
|  | #include "src/Core/MathFunctionsImpl.h" | 
|  | #include "src/Core/arch/Default/ConjHelper.h" | 
|  | // Generic half float support | 
|  | #include "src/Core/arch/Default/Half.h" | 
|  | #include "src/Core/arch/Default/BFloat16.h" | 
|  | #include "src/Core/arch/Default/TypeCasting.h" | 
|  | #include "src/Core/arch/Default/GenericPacketMathFunctionsFwd.h" | 
|  |  | 
|  | #if defined EIGEN_VECTORIZE_AVX512 | 
|  | #include "src/Core/arch/SSE/PacketMath.h" | 
|  | #include "src/Core/arch/SSE/TypeCasting.h" | 
|  | #include "src/Core/arch/SSE/Complex.h" | 
|  | #include "src/Core/arch/AVX/PacketMath.h" | 
|  | #include "src/Core/arch/AVX/TypeCasting.h" | 
|  | #include "src/Core/arch/AVX/Complex.h" | 
|  | #include "src/Core/arch/AVX512/PacketMath.h" | 
|  | #include "src/Core/arch/AVX512/TypeCasting.h" | 
|  | #include "src/Core/arch/AVX512/Complex.h" | 
|  | #include "src/Core/arch/SSE/MathFunctions.h" | 
|  | #include "src/Core/arch/AVX/MathFunctions.h" | 
|  | #include "src/Core/arch/AVX512/MathFunctions.h" | 
|  | #elif 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/TypeCasting.h" | 
|  | #include "src/Core/arch/SSE/Complex.h" | 
|  | #include "src/Core/arch/AVX/PacketMath.h" | 
|  | #include "src/Core/arch/AVX/TypeCasting.h" | 
|  | #include "src/Core/arch/AVX/Complex.h" | 
|  | #include "src/Core/arch/SSE/MathFunctions.h" | 
|  | #include "src/Core/arch/AVX/MathFunctions.h" | 
|  | #elif defined EIGEN_VECTORIZE_SSE | 
|  | #include "src/Core/arch/SSE/PacketMath.h" | 
|  | #include "src/Core/arch/SSE/TypeCasting.h" | 
|  | #include "src/Core/arch/SSE/MathFunctions.h" | 
|  | #include "src/Core/arch/SSE/Complex.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/TypeCasting.h" | 
|  | #include "src/Core/arch/NEON/MathFunctions.h" | 
|  | #include "src/Core/arch/NEON/Complex.h" | 
|  | #elif defined EIGEN_VECTORIZE_ZVECTOR | 
|  | #include "src/Core/arch/ZVector/PacketMath.h" | 
|  | #include "src/Core/arch/ZVector/MathFunctions.h" | 
|  | #include "src/Core/arch/ZVector/Complex.h" | 
|  | #elif defined EIGEN_VECTORIZE_MSA | 
|  | #include "src/Core/arch/MSA/PacketMath.h" | 
|  | #include "src/Core/arch/MSA/MathFunctions.h" | 
|  | #include "src/Core/arch/MSA/Complex.h" | 
|  | #endif | 
|  |  | 
|  | #if defined EIGEN_VECTORIZE_GPU | 
|  | #include "src/Core/arch/GPU/PacketMath.h" | 
|  | #include "src/Core/arch/GPU/MathFunctions.h" | 
|  | #include "src/Core/arch/GPU/TypeCasting.h" | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_USE_SYCL) | 
|  | #include "src/Core/arch/SYCL/SyclMemoryModel.h" | 
|  | #include "src/Core/arch/SYCL/InteropHeaders.h" | 
|  | #if !defined(EIGEN_DONT_VECTORIZE_SYCL) | 
|  | #include "src/Core/arch/SYCL/PacketMath.h" | 
|  | #include "src/Core/arch/SYCL/MathFunctions.h" | 
|  | #include "src/Core/arch/SYCL/TypeCasting.h" | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #include "src/Core/arch/Default/Settings.h" | 
|  | // This file provides generic implementations valid for scalar as well | 
|  | #include "src/Core/arch/Default/GenericPacketMathFunctions.h" | 
|  |  | 
|  | #include "src/Core/functors/TernaryFunctors.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" | 
|  |  | 
|  | // Specialized functors to enable the processing of complex numbers | 
|  | // on CUDA devices | 
|  | #ifdef EIGEN_CUDACC | 
|  | #include "src/Core/arch/CUDA/Complex.h" | 
|  | #endif | 
|  |  | 
|  | #include "src/Core/util/IndexedViewHelper.h" | 
|  | #include "src/Core/util/ReshapedHelper.h" | 
|  | #include "src/Core/ArithmeticSequence.h" | 
|  | #ifndef EIGEN_NO_IO | 
|  | #include "src/Core/IO.h" | 
|  | #endif | 
|  | #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/CwiseTernaryOp.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/IndexedView.h" | 
|  | #include "src/Core/Reshaped.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/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/ConditionEstimator.h" | 
|  |  | 
|  | #if defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX) | 
|  | #include "src/Core/arch/AltiVec/MatrixProduct.h" | 
|  | #endif | 
|  |  | 
|  | #include "src/Core/BooleanRedux.h" | 
|  | #include "src/Core/Select.h" | 
|  | #include "src/Core/VectorwiseOp.h" | 
|  | #include "src/Core/PartialReduxEvaluator.h" | 
|  | #include "src/Core/Random.h" | 
|  | #include "src/Core/Replicate.h" | 
|  | #include "src/Core/Reverse.h" | 
|  | #include "src/Core/ArrayWrapper.h" | 
|  | #include "src/Core/StlIterators.h" | 
|  |  | 
|  | #ifdef EIGEN_USE_BLAS | 
|  | #include "src/Core/products/GeneralMatrixMatrix_BLAS.h" | 
|  | #include "src/Core/products/GeneralMatrixVector_BLAS.h" | 
|  | #include "src/Core/products/GeneralMatrixMatrixTriangular_BLAS.h" | 
|  | #include "src/Core/products/SelfadjointMatrixMatrix_BLAS.h" | 
|  | #include "src/Core/products/SelfadjointMatrixVector_BLAS.h" | 
|  | #include "src/Core/products/TriangularMatrixMatrix_BLAS.h" | 
|  | #include "src/Core/products/TriangularMatrixVector_BLAS.h" | 
|  | #include "src/Core/products/TriangularSolverMatrix_BLAS.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 |