520 lines
		
	
	
		
			17 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
			
		
		
	
	
			520 lines
		
	
	
		
			17 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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// Copyright (C) 2007-2011 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_CORE_H
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#define EIGEN_CORE_H
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// first thing Eigen does: stop the compiler from committing suicide
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#include "src/Core/util/DisableStupidWarnings.h"
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// Handle NVCC/CUDA/SYCL
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#if defined(__CUDACC__) || defined(__SYCL_DEVICE_ONLY__)
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  // Do not try asserts on CUDA and SYCL!
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  #ifndef EIGEN_NO_DEBUG
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  #define EIGEN_NO_DEBUG
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  #endif
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  #ifdef EIGEN_INTERNAL_DEBUGGING
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  #undef EIGEN_INTERNAL_DEBUGGING
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  #endif
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  #ifdef EIGEN_EXCEPTIONS
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  #undef EIGEN_EXCEPTIONS
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  #endif
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  // All functions callable from CUDA code must be qualified with __device__
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  #ifdef __CUDACC__
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    // Do not try to vectorize on CUDA and SYCL!
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    #ifndef EIGEN_DONT_VECTORIZE
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    #define EIGEN_DONT_VECTORIZE
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    #endif
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    #define EIGEN_DEVICE_FUNC __host__ __device__
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    // We need math_functions.hpp to ensure that that EIGEN_USING_STD_MATH macro
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    // works properly on the device side
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    #include <math_functions.hpp>
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  #else
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    #define EIGEN_DEVICE_FUNC
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  #endif
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#else
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  #define EIGEN_DEVICE_FUNC
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#endif
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// When compiling CUDA device code with NVCC, pull in math functions from the
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// global namespace.  In host mode, and when device doee with clang, use the
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// std versions.
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#if defined(__CUDA_ARCH__) && defined(__NVCC__)
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  #define EIGEN_USING_STD_MATH(FUNC) using ::FUNC;
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#else
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  #define EIGEN_USING_STD_MATH(FUNC) using std::FUNC;
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#endif
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#if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(__CUDA_ARCH__) && !defined(EIGEN_EXCEPTIONS) && !defined(EIGEN_USE_SYCL)
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  #define EIGEN_EXCEPTIONS
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#endif
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#ifdef EIGEN_EXCEPTIONS
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  #include <new>
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#endif
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// then include this file where all our macros are defined. It's really important to do it first because
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// it's where we do all the alignment settings (platform detection and honoring the user's will if he
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// defined e.g. EIGEN_DONT_ALIGN) so it needs to be done before we do anything with vectorization.
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#include "src/Core/util/Macros.h"
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// Disable the ipa-cp-clone optimization flag with MinGW 6.x or newer (enabled by default with -O3)
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// See http://eigen.tuxfamily.org/bz/show_bug.cgi?id=556 for details.
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#if EIGEN_COMP_MINGW && EIGEN_GNUC_AT_LEAST(4,6)
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  #pragma GCC optimize ("-fno-ipa-cp-clone")
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#endif
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#include <complex>
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// this include file manages BLAS and MKL related macros
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// and inclusion of their respective header files
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#include "src/Core/util/MKL_support.h"
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// if alignment is disabled, then disable vectorization. Note: EIGEN_MAX_ALIGN_BYTES is the proper check, it takes into
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// account both the user's will (EIGEN_MAX_ALIGN_BYTES,EIGEN_DONT_ALIGN) and our own platform checks
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#if EIGEN_MAX_ALIGN_BYTES==0
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  #ifndef EIGEN_DONT_VECTORIZE
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    #define EIGEN_DONT_VECTORIZE
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  #endif
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#endif
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#if EIGEN_COMP_MSVC
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  #include <malloc.h> // for _aligned_malloc -- need it regardless of whether vectorization is enabled
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  #if (EIGEN_COMP_MSVC >= 1500) // 2008 or later
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    // Remember that usage of defined() in a #define is undefined by the standard.
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    // a user reported that in 64-bit mode, MSVC doesn't care to define _M_IX86_FP.
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    #if (defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || EIGEN_ARCH_x86_64
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      #define EIGEN_SSE2_ON_MSVC_2008_OR_LATER
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    #endif
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  #endif
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#else
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  // Remember that usage of defined() in a #define is undefined by the standard
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  #if (defined __SSE2__) && ( (!EIGEN_COMP_GNUC) || EIGEN_COMP_ICC || EIGEN_GNUC_AT_LEAST(4,2) )
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    #define EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC
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  #endif
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#endif
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#ifndef EIGEN_DONT_VECTORIZE
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  #if defined (EIGEN_SSE2_ON_NON_MSVC_BUT_NOT_OLD_GCC) || defined(EIGEN_SSE2_ON_MSVC_2008_OR_LATER)
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    // Defines symbols for compile-time detection of which instructions are
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    // used.
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    // EIGEN_VECTORIZE_YY is defined if and only if the instruction set YY is used
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    #define EIGEN_VECTORIZE
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    #define EIGEN_VECTORIZE_SSE
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    #define EIGEN_VECTORIZE_SSE2
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    // Detect sse3/ssse3/sse4:
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    // gcc and icc defines __SSE3__, ...
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    // there is no way to know about this on msvc. You can define EIGEN_VECTORIZE_SSE* if you
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    // want to force the use of those instructions with msvc.
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    #ifdef __SSE3__
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      #define EIGEN_VECTORIZE_SSE3
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    #endif
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    #ifdef __SSSE3__
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      #define EIGEN_VECTORIZE_SSSE3
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    #endif
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    #ifdef __SSE4_1__
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      #define EIGEN_VECTORIZE_SSE4_1
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    #endif
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    #ifdef __SSE4_2__
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      #define EIGEN_VECTORIZE_SSE4_2
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    #endif
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    #ifdef __AVX__
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      #define EIGEN_VECTORIZE_AVX
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      #define EIGEN_VECTORIZE_SSE3
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      #define EIGEN_VECTORIZE_SSSE3
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      #define EIGEN_VECTORIZE_SSE4_1
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      #define EIGEN_VECTORIZE_SSE4_2
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    #endif
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    #ifdef __AVX2__
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      #define EIGEN_VECTORIZE_AVX2
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    #endif
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    #ifdef __FMA__
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      #define EIGEN_VECTORIZE_FMA
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    #endif
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    #if defined(__AVX512F__)
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      #define EIGEN_VECTORIZE_AVX512
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      #define EIGEN_VECTORIZE_AVX2
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      #define EIGEN_VECTORIZE_AVX
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      #define EIGEN_VECTORIZE_FMA
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      #ifdef __AVX512DQ__
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        #define EIGEN_VECTORIZE_AVX512DQ
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      #endif
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    #endif
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    // include files
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    // This extern "C" works around a MINGW-w64 compilation issue
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    // https://sourceforge.net/tracker/index.php?func=detail&aid=3018394&group_id=202880&atid=983354
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    // In essence, intrin.h is included by windows.h and also declares intrinsics (just as emmintrin.h etc. below do).
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    // However, intrin.h uses an extern "C" declaration, and g++ thus complains of duplicate declarations
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    // with conflicting linkage.  The linkage for intrinsics doesn't matter, but at that stage the compiler doesn't know;
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    // so, to avoid compile errors when windows.h is included after Eigen/Core, ensure intrinsics are extern "C" here too.
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    // notice that since these are C headers, the extern "C" is theoretically needed anyways.
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    extern "C" {
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      // In theory we should only include immintrin.h and not the other *mmintrin.h header files directly.
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      // Doing so triggers some issues with ICC. However old gcc versions seems to not have this file, thus:
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      #if EIGEN_COMP_ICC >= 1110
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        #include <immintrin.h>
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      #else
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        #include <mmintrin.h>
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        #include <emmintrin.h>
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        #include <xmmintrin.h>
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        #ifdef  EIGEN_VECTORIZE_SSE3
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        #include <pmmintrin.h>
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        #endif
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        #ifdef EIGEN_VECTORIZE_SSSE3
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        #include <tmmintrin.h>
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        #endif
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        #ifdef EIGEN_VECTORIZE_SSE4_1
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        #include <smmintrin.h>
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        #endif
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        #ifdef EIGEN_VECTORIZE_SSE4_2
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        #include <nmmintrin.h>
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        #endif
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        #if defined(EIGEN_VECTORIZE_AVX) || defined(EIGEN_VECTORIZE_AVX512)
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        #include <immintrin.h>
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        #endif
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      #endif
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    } // end extern "C"
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  #elif defined __VSX__
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    #define EIGEN_VECTORIZE
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    #define EIGEN_VECTORIZE_VSX
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    #include <altivec.h>
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    // We need to #undef all these ugly tokens defined in <altivec.h>
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    // => use __vector instead of vector
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    #undef bool
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    #undef vector
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    #undef pixel
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  #elif defined __ALTIVEC__
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    #define EIGEN_VECTORIZE
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    #define EIGEN_VECTORIZE_ALTIVEC
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    #include <altivec.h>
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    // We need to #undef all these ugly tokens defined in <altivec.h>
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    // => use __vector instead of vector
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    #undef bool
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    #undef vector
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    #undef pixel
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  #elif (defined  __ARM_NEON) || (defined __ARM_NEON__)
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    #define EIGEN_VECTORIZE
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    #define EIGEN_VECTORIZE_NEON
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    #include <arm_neon.h>
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  #elif (defined __s390x__ && defined __VEC__)
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    #define EIGEN_VECTORIZE
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    #define EIGEN_VECTORIZE_ZVECTOR
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    #include <vecintrin.h>
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  #endif
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#endif
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#if defined(__F16C__) && !defined(EIGEN_COMP_CLANG)
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  // We can use the optimized fp16 to float and float to fp16 conversion routines
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  #define EIGEN_HAS_FP16_C
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#endif
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#if defined __CUDACC__
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  #define EIGEN_VECTORIZE_CUDA
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  #include <vector_types.h>
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  #if defined __CUDACC_VER__ && __CUDACC_VER__ >= 70500
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    #define EIGEN_HAS_CUDA_FP16
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  #endif
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#endif
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#if defined EIGEN_HAS_CUDA_FP16
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  #include <host_defines.h>
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  #include <cuda_fp16.h>
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#endif
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#if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE)
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  #define EIGEN_HAS_OPENMP
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#endif
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#ifdef EIGEN_HAS_OPENMP
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#include <omp.h>
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#endif
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// MSVC for windows mobile does not have the errno.h file
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#if !(EIGEN_COMP_MSVC && EIGEN_OS_WINCE) && !EIGEN_COMP_ARM
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#define EIGEN_HAS_ERRNO
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#endif
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#ifdef EIGEN_HAS_ERRNO
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#include <cerrno>
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#endif
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#include <cstddef>
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#include <cstdlib>
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#include <cmath>
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#include <cassert>
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#include <functional>
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#include <iosfwd>
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#include <cstring>
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#include <string>
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#include <limits>
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#include <climits> // for CHAR_BIT
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// for min/max:
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#include <algorithm>
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// for std::is_nothrow_move_assignable
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#ifdef EIGEN_INCLUDE_TYPE_TRAITS
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#include <type_traits>
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#endif
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// for outputting debug info
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#ifdef EIGEN_DEBUG_ASSIGN
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#include <iostream>
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#endif
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// required for __cpuid, needs to be included after cmath
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#if EIGEN_COMP_MSVC && EIGEN_ARCH_i386_OR_x86_64 && !EIGEN_OS_WINCE
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  #include <intrin.h>
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#endif
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#if defined(__SYCL_DEVICE_ONLY__)
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  #undef min
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  #undef max
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  #undef isnan
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  #undef isinf
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  #undef isfinite
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  #include <SYCL/sycl.hpp>
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#endif
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/** \brief Namespace containing all symbols from the %Eigen library. */
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namespace Eigen {
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inline static const char *SimdInstructionSetsInUse(void) {
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#if defined(EIGEN_VECTORIZE_AVX512)
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  return "AVX512, FMA, AVX2, AVX, SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
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#elif defined(EIGEN_VECTORIZE_AVX)
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  return "AVX SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
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#elif defined(EIGEN_VECTORIZE_SSE4_2)
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  return "SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
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#elif defined(EIGEN_VECTORIZE_SSE4_1)
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  return "SSE, SSE2, SSE3, SSSE3, SSE4.1";
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#elif defined(EIGEN_VECTORIZE_SSSE3)
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  return "SSE, SSE2, SSE3, SSSE3";
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#elif defined(EIGEN_VECTORIZE_SSE3)
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  return "SSE, SSE2, SSE3";
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#elif defined(EIGEN_VECTORIZE_SSE2)
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  return "SSE, SSE2";
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#elif defined(EIGEN_VECTORIZE_ALTIVEC)
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  return "AltiVec";
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#elif defined(EIGEN_VECTORIZE_VSX)
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  return "VSX";
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#elif defined(EIGEN_VECTORIZE_NEON)
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  return "ARM NEON";
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#elif defined(EIGEN_VECTORIZE_ZVECTOR)
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  return "S390X ZVECTOR";
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#else
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  return "None";
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#endif
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}
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} // end namespace Eigen
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#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
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// This will generate an error message:
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#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
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#endif
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// we use size_t frequently and we'll never remember to prepend it with std:: everytime just to
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// ensure QNX/QCC support
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using std::size_t;
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// gcc 4.6.0 wants std:: for ptrdiff_t
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using std::ptrdiff_t;
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/** \defgroup Core_Module Core module
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  * This is the main module of Eigen providing dense matrix and vector support
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  * (both fixed and dynamic size) with all the features corresponding to a BLAS library
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  * and much more...
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  *
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  * \code
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  * #include <Eigen/Core>
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  * \endcode
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  */
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#include "src/Core/util/Constants.h"
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#include "src/Core/util/Meta.h"
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#include "src/Core/util/ForwardDeclarations.h"
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#include "src/Core/util/StaticAssert.h"
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#include "src/Core/util/XprHelper.h"
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#include "src/Core/util/Memory.h"
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#include "src/Core/NumTraits.h"
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#include "src/Core/MathFunctions.h"
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#include "src/Core/GenericPacketMath.h"
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#include "src/Core/MathFunctionsImpl.h"
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#if defined EIGEN_VECTORIZE_AVX512
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  #include "src/Core/arch/SSE/PacketMath.h"
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  #include "src/Core/arch/AVX/PacketMath.h"
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  #include "src/Core/arch/AVX512/PacketMath.h"
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  #include "src/Core/arch/AVX512/MathFunctions.h"
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#elif defined EIGEN_VECTORIZE_AVX
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  // Use AVX for floats and doubles, SSE for integers
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  #include "src/Core/arch/SSE/PacketMath.h"
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  #include "src/Core/arch/SSE/Complex.h"
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  #include "src/Core/arch/SSE/MathFunctions.h"
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  #include "src/Core/arch/AVX/PacketMath.h"
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  #include "src/Core/arch/AVX/MathFunctions.h"
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  #include "src/Core/arch/AVX/Complex.h"
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  #include "src/Core/arch/AVX/TypeCasting.h"
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#elif defined EIGEN_VECTORIZE_SSE
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  #include "src/Core/arch/SSE/PacketMath.h"
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  #include "src/Core/arch/SSE/MathFunctions.h"
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  #include "src/Core/arch/SSE/Complex.h"
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  #include "src/Core/arch/SSE/TypeCasting.h"
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#elif defined(EIGEN_VECTORIZE_ALTIVEC) || defined(EIGEN_VECTORIZE_VSX)
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  #include "src/Core/arch/AltiVec/PacketMath.h"
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  #include "src/Core/arch/AltiVec/MathFunctions.h"
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  #include "src/Core/arch/AltiVec/Complex.h"
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#elif defined EIGEN_VECTORIZE_NEON
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  #include "src/Core/arch/NEON/PacketMath.h"
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  #include "src/Core/arch/NEON/MathFunctions.h"
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  #include "src/Core/arch/NEON/Complex.h"
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#elif defined EIGEN_VECTORIZE_ZVECTOR
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  #include "src/Core/arch/ZVector/PacketMath.h"
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  #include "src/Core/arch/ZVector/MathFunctions.h"
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  #include "src/Core/arch/ZVector/Complex.h"
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						|
#endif
 | 
						|
 | 
						|
// Half float support
 | 
						|
#include "src/Core/arch/CUDA/Half.h"
 | 
						|
#include "src/Core/arch/CUDA/PacketMathHalf.h"
 | 
						|
#include "src/Core/arch/CUDA/TypeCasting.h"
 | 
						|
 | 
						|
#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/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
 | 
						|
#include "src/Core/arch/CUDA/Complex.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/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/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/ConditionEstimator.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_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
 |