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// 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
// 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/.
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#ifndef EIGEN_CORE_H
#define EIGEN_CORE_H
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// first thing Eigen does: stop the compiler from committing suicide
#include "src/Core/util/DisableStupidWarnings.h"
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// Handle NVCC/CUDA
#ifdef __CUDACC__
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// Do not try asserts on CUDA!
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#ifndef EIGEN_NO_DEBUG
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#define EIGEN_NO_DEBUG
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#endif
#ifdef EIGEN_INTERNAL_DEBUGGING
#undef EIGEN_INTERNAL_DEBUGGING
#endif
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// Do not try to vectorize on CUDA!
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#ifndef EIGEN_DONT_VECTORIZE
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#define EIGEN_DONT_VECTORIZE
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#endif
#ifdef EIGEN_EXCEPTIONS
#undef EIGEN_EXCEPTIONS
#endif
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// All functions callable from CUDA code must be qualified with __device__
#define EIGEN_DEVICE_FUNC __host__ __device__
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#else
#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
// global namespace. In host mode, and when device doee with clang, use the
// std versions.
#if defined(__CUDA_ARCH__) && defined(__NVCC__)
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#define EIGEN_USING_STD_MATH(FUNC) using ::FUNC;
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#else
#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)
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#define EIGEN_EXCEPTIONS
#endif
#ifdef EIGEN_EXCEPTIONS
#include <new>
#endif
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// 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.
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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)
// 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")
#endif
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#include <complex>
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// this include file manages BLAS and MKL related macros
// and inclusion of their respective header files
#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
// account both the user's will (EIGEN_MAX_ALIGN_BYTES,EIGEN_DONT_ALIGN) and our own platform checks
#if EIGEN_MAX_ALIGN_BYTES==0
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#ifndef EIGEN_DONT_VECTORIZE
#define EIGEN_DONT_VECTORIZE
#endif
#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.
// 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
// 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
#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
// used.
// EIGEN_VECTORIZE_YY is defined if and only if the instruction set YY is used
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#define EIGEN_VECTORIZE
#define EIGEN_VECTORIZE_SSE
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#define EIGEN_VECTORIZE_SSE2
// 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
// 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
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#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
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#ifdef __AVX2__
#define EIGEN_VECTORIZE_AVX2
#endif
#ifdef __FMA__
#define EIGEN_VECTORIZE_FMA
#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
// 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.
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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.
// 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>
#else
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#include <mmintrin.h>
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#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
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#ifdef EIGEN_VECTORIZE_AVX
#include <immintrin.h>
#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
#undef bool
#undef vector
#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>
// We need to #undef all these ugly tokens defined in <altivec.h>
// => use __vector instead of vector
#undef bool
#undef vector
#undef pixel
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#elif (defined __ARM_NEON) || (defined __ARM_NEON__)
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#define EIGEN_VECTORIZE
#define EIGEN_VECTORIZE_NEON
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#include <arm_neon.h>
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#elif (defined __s390x__ && defined __VEC__)
#define EIGEN_VECTORIZE
#define EIGEN_VECTORIZE_ZVECTOR
#include <vecintrin.h>
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#endif
#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
#define EIGEN_HAS_FP16_C
#endif
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#if defined __CUDACC__
#define EIGEN_VECTORIZE_CUDA
#include <vector_types.h>
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#if defined __CUDACC_VER__ && __CUDACC_VER__ >= 70500
#define EIGEN_HAS_CUDA_FP16
#endif
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#endif
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#if defined EIGEN_HAS_CUDA_FP16
#include <host_defines.h>
#include <cuda_fp16.h>
#endif
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#if (defined _OPENMP) && (!defined EIGEN_DONT_PARALLELIZE)
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#define EIGEN_HAS_OPENMP
#endif
#ifdef EIGEN_HAS_OPENMP
#include <omp.h>
#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
#endif
#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>
#include <cmath>
#include <cassert>
#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:
#include <algorithm>
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// for outputting debug info
#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>
#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_AVX)
return "AVX SSE, SSE2, SSE3, SSSE3, SSE4.1, SSE4.2";
#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)
return "VSX";
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#elif defined(EIGEN_VECTORIZE_NEON)
return "ARM NEON";
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#elif defined(EIGEN_VECTORIZE_ZVECTOR)
return "S390X ZVECTOR";
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#else
return "None";
#endif
}
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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
// 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
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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
// ensure QNX/QCC support
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
* (both fixed and dynamic size) with all the features corresponding to a BLAS library
* and much more...
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*
* \code
* #include <Eigen/Core>
* \endcode
*/
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#include "src/Core/util/Constants.h"
#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"
#include "src/Core/MathFunctions.h"
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#include "src/Core/SpecialFunctions.h"
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#include "src/Core/GenericPacketMath.h"
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#if defined EIGEN_VECTORIZE_AVX
// Use AVX for floats and doubles, SSE for integers
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#include "src/Core/arch/SSE/PacketMath.h"
#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
#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
#include "src/Core/arch/ZVector/PacketMath.h"
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#include "src/Core/arch/ZVector/MathFunctions.h"
#include "src/Core/arch/ZVector/Complex.h"
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#endif
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// Half float support
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#include "src/Core/arch/CUDA/Half.h"
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#include "src/Core/arch/CUDA/PacketMathHalf.h"
#include "src/Core/arch/CUDA/TypeCasting.h"
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#if defined EIGEN_VECTORIZE_CUDA
#include "src/Core/arch/CUDA/PacketMath.h"
#include "src/Core/arch/CUDA/MathFunctions.h"
#endif
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#include "src/Core/arch/Default/Settings.h"
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#include "src/Core/functors/BinaryFunctors.h"
#include "src/Core/functors/UnaryFunctors.h"
#include "src/Core/functors/NullaryFunctors.h"
#include "src/Core/functors/StlFunctors.h"
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#include "src/Core/functors/AssignmentFunctors.h"
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#include "src/Core/DenseCoeffsBase.h"
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#include "src/Core/DenseBase.h"
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#include "src/Core/MatrixBase.h"
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#include "src/Core/EigenBase.h"
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#include "src/Core/Product.h"
#include "src/Core/CoreEvaluators.h"
#include "src/Core/AssignEvaluator.h"
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#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
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#include "src/Core/Assign.h"
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#endif
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#include "src/Core/ArrayBase.h"
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#include "src/Core/util/BlasUtil.h"
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#include "src/Core/DenseStorage.h"
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#include "src/Core/NestByValue.h"
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// #include "src/Core/ForceAlignedAccess.h"
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#include "src/Core/ReturnByValue.h"
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#include "src/Core/NoAlias.h"
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#include "src/Core/PlainObjectBase.h"
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#include "src/Core/Matrix.h"
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#include "src/Core/Array.h"
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#include "src/Core/CwiseBinaryOp.h"
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#include "src/Core/CwiseUnaryOp.h"
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#include "src/Core/CwiseNullaryOp.h"
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#include "src/Core/CwiseUnaryView.h"
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#include "src/Core/SelfCwiseBinaryOp.h"
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#include "src/Core/Dot.h"
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#include "src/Core/StableNorm.h"
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#include "src/Core/Stride.h"
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#include "src/Core/MapBase.h"
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#include "src/Core/Map.h"
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#include "src/Core/Ref.h"
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#include "src/Core/Block.h"
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#include "src/Core/VectorBlock.h"
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#include "src/Core/Transpose.h"
#include "src/Core/DiagonalMatrix.h"
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#include "src/Core/Diagonal.h"
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#include "src/Core/DiagonalProduct.h"
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#include "src/Core/Redux.h"
#include "src/Core/Visitor.h"
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#include "src/Core/Fuzzy.h"
#include "src/Core/IO.h"
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#include "src/Core/Swap.h"
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#include "src/Core/CommaInitializer.h"
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#include "src/Core/GeneralProduct.h"
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#include "src/Core/Solve.h"
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#include "src/Core/Inverse.h"
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#include "src/Core/SolverBase.h"
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#include "src/Core/PermutationMatrix.h"
#include "src/Core/Transpositions.h"
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#include "src/Core/TriangularMatrix.h"
#include "src/Core/SelfAdjointView.h"
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#include "src/Core/products/GeneralBlockPanelKernel.h"
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#include "src/Core/products/Parallelizer.h"
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#include "src/Core/ProductEvaluators.h"
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#include "src/Core/products/GeneralMatrixVector.h"
#include "src/Core/products/GeneralMatrixMatrix.h"
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#include "src/Core/SolveTriangular.h"
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#include "src/Core/products/GeneralMatrixMatrixTriangular.h"
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#include "src/Core/products/SelfadjointMatrixVector.h"
#include "src/Core/products/SelfadjointMatrixMatrix.h"
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#include "src/Core/products/SelfadjointProduct.h"
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#include "src/Core/products/SelfadjointRank2Update.h"
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#include "src/Core/products/TriangularMatrixVector.h"
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#include "src/Core/products/TriangularMatrixMatrix.h"
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#include "src/Core/products/TriangularSolverMatrix.h"
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#include "src/Core/products/TriangularSolverVector.h"
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#include "src/Core/BandMatrix.h"
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#include "src/Core/CoreIterators.h"
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#include "src/Core/ConditionEstimator.h"
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#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"
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#ifdef EIGEN_USE_BLAS
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#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"
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#endif // EIGEN_USE_BLAS
#ifdef EIGEN_USE_MKL_VML
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#include "src/Core/Assign_MKL.h"
#endif
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#include "src/Core/GlobalFunctions.h"
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#include "src/Core/util/ReenableStupidWarnings.h"
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#endif // EIGEN_CORE_H