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884 lines
31 KiB
C++
884 lines
31 KiB
C++
// 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) 2008-2015 Gael Guennebaud <gael.guennebaud@inria.fr>
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// Copyright (C) 2006-2008 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_MACROS_H
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#define EIGEN_MACROS_H
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#define EIGEN_WORLD_VERSION 3
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#define EIGEN_MAJOR_VERSION 2
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#define EIGEN_MINOR_VERSION 92
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#define EIGEN_VERSION_AT_LEAST(x,y,z) (EIGEN_WORLD_VERSION>x || (EIGEN_WORLD_VERSION>=x && \
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(EIGEN_MAJOR_VERSION>y || (EIGEN_MAJOR_VERSION>=y && \
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EIGEN_MINOR_VERSION>=z))))
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// Compiler identification, EIGEN_COMP_*
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/// \internal EIGEN_COMP_GNUC set to 1 for all compilers compatible with GCC
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#ifdef __GNUC__
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#define EIGEN_COMP_GNUC 1
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#else
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#define EIGEN_COMP_GNUC 0
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#endif
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/// \internal EIGEN_COMP_CLANG set to 1 if the compiler is clang (alias for __clang__)
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#if defined(__clang__)
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#define EIGEN_COMP_CLANG 1
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#else
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#define EIGEN_COMP_CLANG 0
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#endif
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/// \internal EIGEN_COMP_LLVM set to 1 if the compiler backend is llvm
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#if defined(__llvm__)
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#define EIGEN_COMP_LLVM 1
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#else
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#define EIGEN_COMP_LLVM 0
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#endif
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/// \internal EIGEN_COMP_ICC set to __INTEL_COMPILER if the compiler is Intel compiler, 0 otherwise
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#if defined(__INTEL_COMPILER)
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#define EIGEN_COMP_ICC __INTEL_COMPILER
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#else
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#define EIGEN_COMP_ICC 0
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#endif
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/// \internal EIGEN_COMP_MINGW set to 1 if the compiler is mingw
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#if defined(__MINGW32__)
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#define EIGEN_COMP_MINGW 1
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#else
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#define EIGEN_COMP_MINGW 0
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#endif
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/// \internal EIGEN_COMP_SUNCC set to 1 if the compiler is Solaris Studio
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#if defined(__SUNPRO_CC)
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#define EIGEN_COMP_SUNCC 1
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#else
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#define EIGEN_COMP_SUNCC 0
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#endif
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/// \internal EIGEN_COMP_MSVC set to _MSC_VER if the compiler is Microsoft Visual C++, 0 otherwise.
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#if defined(_MSC_VER)
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#define EIGEN_COMP_MSVC _MSC_VER
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#else
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#define EIGEN_COMP_MSVC 0
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#endif
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/// \internal EIGEN_COMP_MSVC_STRICT set to 1 if the compiler is really Microsoft Visual C++ and not ,e.g., ICC
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#if EIGEN_COMP_MSVC && !(EIGEN_COMP_ICC)
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#define EIGEN_COMP_MSVC_STRICT _MSC_VER
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#else
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#define EIGEN_COMP_MSVC_STRICT 0
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#endif
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/// \internal EIGEN_COMP_IBM set to 1 if the compiler is IBM XL C++
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#if defined(__IBMCPP__) || defined(__xlc__)
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#define EIGEN_COMP_IBM 1
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#else
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#define EIGEN_COMP_IBM 0
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#endif
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/// \internal EIGEN_COMP_PGI set to 1 if the compiler is Portland Group Compiler
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#if defined(__PGI)
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#define EIGEN_COMP_PGI 1
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#else
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#define EIGEN_COMP_PGI 0
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#endif
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/// \internal EIGEN_COMP_ARM set to 1 if the compiler is ARM Compiler
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#if defined(__CC_ARM) || defined(__ARMCC_VERSION)
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#define EIGEN_COMP_ARM 1
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#else
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#define EIGEN_COMP_ARM 0
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#endif
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/// \internal EIGEN_COMP_ARM set to 1 if the compiler is ARM Compiler
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#if defined(__EMSCRIPTEN__)
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#define EIGEN_COMP_EMSCRIPTEN 1
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#else
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#define EIGEN_COMP_EMSCRIPTEN 0
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#endif
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/// \internal EIGEN_GNUC_STRICT set to 1 if the compiler is really GCC and not a compatible compiler (e.g., ICC, clang, mingw, etc.)
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#if EIGEN_COMP_GNUC && !(EIGEN_COMP_CLANG || EIGEN_COMP_ICC || EIGEN_COMP_MINGW || EIGEN_COMP_PGI || EIGEN_COMP_IBM || EIGEN_COMP_ARM || EIGEN_COMP_EMSCRIPTEN)
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#define EIGEN_COMP_GNUC_STRICT 1
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#else
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#define EIGEN_COMP_GNUC_STRICT 0
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#endif
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#if EIGEN_COMP_GNUC
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#define EIGEN_GNUC_AT_LEAST(x,y) ((__GNUC__==x && __GNUC_MINOR__>=y) || __GNUC__>x)
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#define EIGEN_GNUC_AT_MOST(x,y) ((__GNUC__==x && __GNUC_MINOR__<=y) || __GNUC__<x)
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#define EIGEN_GNUC_AT(x,y) ( __GNUC__==x && __GNUC_MINOR__==y )
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#else
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#define EIGEN_GNUC_AT_LEAST(x,y) 0
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#define EIGEN_GNUC_AT_MOST(x,y) 0
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#define EIGEN_GNUC_AT(x,y) 0
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#endif
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// FIXME: could probably be removed as we do not support gcc 3.x anymore
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#if EIGEN_COMP_GNUC && (__GNUC__ <= 3)
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#define EIGEN_GCC3_OR_OLDER 1
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#else
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#define EIGEN_GCC3_OR_OLDER 0
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#endif
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// Architecture identification, EIGEN_ARCH_*
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#if defined(__x86_64__) || defined(_M_X64) || defined(__amd64)
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#define EIGEN_ARCH_x86_64 1
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#else
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#define EIGEN_ARCH_x86_64 0
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#endif
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#if defined(__i386__) || defined(_M_IX86) || defined(_X86_) || defined(__i386)
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#define EIGEN_ARCH_i386 1
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#else
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#define EIGEN_ARCH_i386 0
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#endif
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#if EIGEN_ARCH_x86_64 || EIGEN_ARCH_i386
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#define EIGEN_ARCH_i386_OR_x86_64 1
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#else
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#define EIGEN_ARCH_i386_OR_x86_64 0
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#endif
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/// \internal EIGEN_ARCH_ARM set to 1 if the architecture is ARM
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#if defined(__arm__)
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#define EIGEN_ARCH_ARM 1
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#else
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#define EIGEN_ARCH_ARM 0
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#endif
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/// \internal EIGEN_ARCH_ARM64 set to 1 if the architecture is ARM64
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#if defined(__aarch64__)
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#define EIGEN_ARCH_ARM64 1
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#else
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#define EIGEN_ARCH_ARM64 0
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#endif
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#if EIGEN_ARCH_ARM || EIGEN_ARCH_ARM64
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#define EIGEN_ARCH_ARM_OR_ARM64 1
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#else
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#define EIGEN_ARCH_ARM_OR_ARM64 0
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#endif
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/// \internal EIGEN_ARCH_MIPS set to 1 if the architecture is MIPS
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#if defined(__mips__) || defined(__mips)
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#define EIGEN_ARCH_MIPS 1
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#else
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#define EIGEN_ARCH_MIPS 0
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#endif
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/// \internal EIGEN_ARCH_SPARC set to 1 if the architecture is SPARC
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#if defined(__sparc__) || defined(__sparc)
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#define EIGEN_ARCH_SPARC 1
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#else
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#define EIGEN_ARCH_SPARC 0
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#endif
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/// \internal EIGEN_ARCH_IA64 set to 1 if the architecture is Intel Itanium
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#if defined(__ia64__)
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#define EIGEN_ARCH_IA64 1
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#else
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#define EIGEN_ARCH_IA64 0
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#endif
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/// \internal EIGEN_ARCH_PPC set to 1 if the architecture is PowerPC
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#if defined(__powerpc__) || defined(__ppc__) || defined(_M_PPC)
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#define EIGEN_ARCH_PPC 1
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#else
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#define EIGEN_ARCH_PPC 0
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#endif
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// Operating system identification, EIGEN_OS_*
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/// \internal EIGEN_OS_UNIX set to 1 if the OS is a unix variant
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#if defined(__unix__) || defined(__unix)
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#define EIGEN_OS_UNIX 1
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#else
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#define EIGEN_OS_UNIX 0
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#endif
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/// \internal EIGEN_OS_LINUX set to 1 if the OS is based on Linux kernel
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#if defined(__linux__)
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#define EIGEN_OS_LINUX 1
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#else
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#define EIGEN_OS_LINUX 0
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#endif
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/// \internal EIGEN_OS_ANDROID set to 1 if the OS is Android
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// note: ANDROID is defined when using ndk_build, __ANDROID__ is defined when using a standalone toolchain.
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#if defined(__ANDROID__) || defined(ANDROID)
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#define EIGEN_OS_ANDROID 1
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#else
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#define EIGEN_OS_ANDROID 0
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#endif
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/// \internal EIGEN_OS_GNULINUX set to 1 if the OS is GNU Linux and not Linux-based OS (e.g., not android)
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#if defined(__gnu_linux__) && !(EIGEN_OS_ANDROID)
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#define EIGEN_OS_GNULINUX 1
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#else
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#define EIGEN_OS_GNULINUX 0
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#endif
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/// \internal EIGEN_OS_BSD set to 1 if the OS is a BSD variant
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#if defined(__FreeBSD__) || defined(__NetBSD__) || defined(__OpenBSD__) || defined(__bsdi__) || defined(__DragonFly__)
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#define EIGEN_OS_BSD 1
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#else
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#define EIGEN_OS_BSD 0
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#endif
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/// \internal EIGEN_OS_MAC set to 1 if the OS is MacOS
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#if defined(__APPLE__)
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#define EIGEN_OS_MAC 1
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#else
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#define EIGEN_OS_MAC 0
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#endif
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/// \internal EIGEN_OS_QNX set to 1 if the OS is QNX
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#if defined(__QNX__)
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#define EIGEN_OS_QNX 1
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#else
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#define EIGEN_OS_QNX 0
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#endif
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/// \internal EIGEN_OS_WIN set to 1 if the OS is Windows based
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#if defined(_WIN32)
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#define EIGEN_OS_WIN 1
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#else
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#define EIGEN_OS_WIN 0
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#endif
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/// \internal EIGEN_OS_WIN64 set to 1 if the OS is Windows 64bits
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#if defined(_WIN64)
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#define EIGEN_OS_WIN64 1
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#else
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#define EIGEN_OS_WIN64 0
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#endif
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/// \internal EIGEN_OS_WINCE set to 1 if the OS is Windows CE
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#if defined(_WIN32_WCE)
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#define EIGEN_OS_WINCE 1
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#else
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#define EIGEN_OS_WINCE 0
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#endif
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/// \internal EIGEN_OS_CYGWIN set to 1 if the OS is Windows/Cygwin
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#if defined(__CYGWIN__)
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#define EIGEN_OS_CYGWIN 1
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#else
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#define EIGEN_OS_CYGWIN 0
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#endif
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/// \internal EIGEN_OS_WIN_STRICT set to 1 if the OS is really Windows and not some variants
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#if EIGEN_OS_WIN && !( EIGEN_OS_WINCE || EIGEN_OS_CYGWIN )
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#define EIGEN_OS_WIN_STRICT 1
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#else
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#define EIGEN_OS_WIN_STRICT 0
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#endif
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/// \internal EIGEN_OS_SUN set to 1 if the OS is SUN
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#if (defined(sun) || defined(__sun)) && !(defined(__SVR4) || defined(__svr4__))
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#define EIGEN_OS_SUN 1
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#else
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#define EIGEN_OS_SUN 0
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#endif
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/// \internal EIGEN_OS_SOLARIS set to 1 if the OS is Solaris
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#if (defined(sun) || defined(__sun)) && (defined(__SVR4) || defined(__svr4__))
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#define EIGEN_OS_SOLARIS 1
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#else
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#define EIGEN_OS_SOLARIS 0
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#endif
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#if EIGEN_GNUC_AT_MOST(4,3) && !EIGEN_COMP_CLANG
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// see bug 89
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#define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 0
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#else
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#define EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO 1
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#endif
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// This macro can be used to prevent from macro expansion, e.g.:
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// std::max EIGEN_NOT_A_MACRO(a,b)
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#define EIGEN_NOT_A_MACRO
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#ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
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#define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::RowMajor
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#else
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#define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::ColMajor
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#endif
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#ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE
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#define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t
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#endif
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// Cross compiler wrapper around LLVM's __has_builtin
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#ifdef __has_builtin
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# define EIGEN_HAS_BUILTIN(x) __has_builtin(x)
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#else
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# define EIGEN_HAS_BUILTIN(x) 0
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#endif
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// A Clang feature extension to determine compiler features.
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// We use it to determine 'cxx_rvalue_references'
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#ifndef __has_feature
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# define __has_feature(x) 0
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#endif
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// Do we support r-value references?
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#if (__has_feature(cxx_rvalue_references) || \
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(defined(__cplusplus) && __cplusplus >= 201103L) || \
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(EIGEN_COMP_MSVC >= 1600))
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#define EIGEN_HAVE_RVALUE_REFERENCES
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#endif
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// Does the compiler support C99?
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#if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901)) \
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|| (defined(__GNUC__) && defined(_GLIBCXX_USE_C99)) \
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|| (defined(_LIBCPP_VERSION) && !defined(_MSC_VER))
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#define EIGEN_HAS_C99_MATH 1
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#endif
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// Does the compiler support result_of?
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#if (__has_feature(cxx_lambdas) || (defined(__cplusplus) && __cplusplus >= 201103L))
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#define EIGEN_HAS_STD_RESULT_OF 1
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#endif
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// Does the compiler support variadic templates?
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#if __cplusplus > 199711L || EIGEN_COMP_MSVC >= 1900
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// Disable the use of variadic templates when compiling with nvcc on ARM devices:
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// this prevents nvcc from crashing when compiling Eigen on Tegra X1
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#if !defined(__NVCC__) || !EIGEN_ARCH_ARM_OR_ARM64
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#define EIGEN_HAS_VARIADIC_TEMPLATES 1
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#endif
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#endif
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// Does the compiler support const expressions?
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#ifdef __CUDACC__
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// Const expressions are supported provided that c++11 is enabled and we're using either clang or nvcc 7.5 or above
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#if __cplusplus > 199711L && defined(__CUDACC_VER__) && (defined(__clang__) || __CUDACC_VER__ >= 70500)
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#define EIGEN_HAS_CONSTEXPR 1
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#endif
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#elif (defined(__cplusplus) && __cplusplus >= 201402L) || \
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EIGEN_GNUC_AT_LEAST(4,8)
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#define EIGEN_HAS_CONSTEXPR 1
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#endif
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// Does the compiler support C++11 math?
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// Let's be conservative and enable the default C++11 implementation only if we are sure it exists
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#ifndef EIGEN_HAS_CXX11_MATH
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#if (__cplusplus > 201103L) || (__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_MSVC || EIGEN_COMP_ICC) \
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&& (EIGEN_ARCH_i386_OR_x86_64) && (EIGEN_OS_GNULINUX || EIGEN_OS_WIN_STRICT || EIGEN_OS_MAC)
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#define EIGEN_HAS_CXX11_MATH 1
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#else
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#define EIGEN_HAS_CXX11_MATH 0
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#endif
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#endif
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// Does the compiler support proper C++11 containers?
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#ifndef EIGEN_HAS_CXX11_CONTAINERS
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#if (__cplusplus > 201103L) \
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|| ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
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|| EIGEN_COMP_MSVC >= 1900
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#define EIGEN_HAS_CXX11_CONTAINERS 1
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#else
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#define EIGEN_HAS_CXX11_CONTAINERS 0
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#endif
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#endif
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// Does the compiler support C++11 noexcept?
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#ifndef EIGEN_HAS_CXX11_NOEXCEPT
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#if (__cplusplus > 201103L) \
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|| ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
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|| EIGEN_COMP_MSVC >= 1900
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#define EIGEN_HAS_CXX11_NOEXCEPT 1
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#else
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#define EIGEN_HAS_CXX11_NOEXCEPT 0
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#endif
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#endif
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/** Allows to disable some optimizations which might affect the accuracy of the result.
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* Such optimization are enabled by default, and set EIGEN_FAST_MATH to 0 to disable them.
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* They currently include:
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* - single precision ArrayBase::sin() and ArrayBase::cos() for SSE and AVX vectorization.
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*/
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#ifndef EIGEN_FAST_MATH
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#define EIGEN_FAST_MATH 1
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#endif
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#define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl;
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// concatenate two tokens
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#define EIGEN_CAT2(a,b) a ## b
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#define EIGEN_CAT(a,b) EIGEN_CAT2(a,b)
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// convert a token to a string
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#define EIGEN_MAKESTRING2(a) #a
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#define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a)
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// EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC,
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// but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline
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// but GCC is still doing fine with just inline.
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#if EIGEN_COMP_MSVC || EIGEN_COMP_ICC
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#define EIGEN_STRONG_INLINE __forceinline
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#else
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#define EIGEN_STRONG_INLINE inline
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#endif
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// EIGEN_ALWAYS_INLINE is the stronget, it has the effect of making the function inline and adding every possible
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// attribute to maximize inlining. This should only be used when really necessary: in particular,
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// it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times.
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// FIXME with the always_inline attribute,
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// gcc 3.4.x reports the following compilation error:
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// Eval.h:91: sorry, unimplemented: inlining failed in call to 'const Eigen::Eval<Derived> Eigen::MatrixBase<Scalar, Derived>::eval() const'
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// : function body not available
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#if EIGEN_GNUC_AT_LEAST(4,0)
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#define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline
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#else
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#define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE
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#endif
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#if EIGEN_COMP_GNUC
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#define EIGEN_DONT_INLINE __attribute__((noinline))
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#elif EIGEN_COMP_MSVC
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#define EIGEN_DONT_INLINE __declspec(noinline)
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#else
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#define EIGEN_DONT_INLINE
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#endif
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#if EIGEN_COMP_GNUC
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#define EIGEN_PERMISSIVE_EXPR __extension__
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#else
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#define EIGEN_PERMISSIVE_EXPR
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#endif
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// this macro allows to get rid of linking errors about multiply defined functions.
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// - static is not very good because it prevents definitions from different object files to be merged.
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// So static causes the resulting linked executable to be bloated with multiple copies of the same function.
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// - inline is not perfect either as it unwantedly hints the compiler toward inlining the function.
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#define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
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|
#define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS inline
|
|
|
|
#ifdef NDEBUG
|
|
# ifndef EIGEN_NO_DEBUG
|
|
# define EIGEN_NO_DEBUG
|
|
# endif
|
|
#endif
|
|
|
|
// eigen_plain_assert is where we implement the workaround for the assert() bug in GCC <= 4.3, see bug 89
|
|
#ifdef EIGEN_NO_DEBUG
|
|
#define eigen_plain_assert(x)
|
|
#else
|
|
#if EIGEN_SAFE_TO_USE_STANDARD_ASSERT_MACRO
|
|
namespace Eigen {
|
|
namespace internal {
|
|
inline bool copy_bool(bool b) { return b; }
|
|
}
|
|
}
|
|
#define eigen_plain_assert(x) assert(x)
|
|
#else
|
|
// work around bug 89
|
|
#include <cstdlib> // for abort
|
|
#include <iostream> // for std::cerr
|
|
|
|
namespace Eigen {
|
|
namespace internal {
|
|
// trivial function copying a bool. Must be EIGEN_DONT_INLINE, so we implement it after including Eigen headers.
|
|
// see bug 89.
|
|
namespace {
|
|
EIGEN_DONT_INLINE bool copy_bool(bool b) { return b; }
|
|
}
|
|
inline void assert_fail(const char *condition, const char *function, const char *file, int line)
|
|
{
|
|
std::cerr << "assertion failed: " << condition << " in function " << function << " at " << file << ":" << line << std::endl;
|
|
abort();
|
|
}
|
|
}
|
|
}
|
|
#define eigen_plain_assert(x) \
|
|
do { \
|
|
if(!Eigen::internal::copy_bool(x)) \
|
|
Eigen::internal::assert_fail(EIGEN_MAKESTRING(x), __PRETTY_FUNCTION__, __FILE__, __LINE__); \
|
|
} while(false)
|
|
#endif
|
|
#endif
|
|
|
|
// eigen_assert can be overridden
|
|
#ifndef eigen_assert
|
|
#define eigen_assert(x) eigen_plain_assert(x)
|
|
#endif
|
|
|
|
#ifdef EIGEN_INTERNAL_DEBUGGING
|
|
#define eigen_internal_assert(x) eigen_assert(x)
|
|
#else
|
|
#define eigen_internal_assert(x)
|
|
#endif
|
|
|
|
#ifdef EIGEN_NO_DEBUG
|
|
#define EIGEN_ONLY_USED_FOR_DEBUG(x) EIGEN_UNUSED_VARIABLE(x)
|
|
#else
|
|
#define EIGEN_ONLY_USED_FOR_DEBUG(x)
|
|
#endif
|
|
|
|
#ifndef EIGEN_NO_DEPRECATED_WARNING
|
|
#if EIGEN_COMP_GNUC
|
|
#define EIGEN_DEPRECATED __attribute__((deprecated))
|
|
#elif EIGEN_COMP_MSVC
|
|
#define EIGEN_DEPRECATED __declspec(deprecated)
|
|
#else
|
|
#define EIGEN_DEPRECATED
|
|
#endif
|
|
#else
|
|
#define EIGEN_DEPRECATED
|
|
#endif
|
|
|
|
#if EIGEN_COMP_GNUC
|
|
#define EIGEN_UNUSED __attribute__((unused))
|
|
#else
|
|
#define EIGEN_UNUSED
|
|
#endif
|
|
|
|
// Suppresses 'unused variable' warnings.
|
|
namespace Eigen {
|
|
namespace internal {
|
|
template<typename T> EIGEN_DEVICE_FUNC void ignore_unused_variable(const T&) {}
|
|
}
|
|
}
|
|
#define EIGEN_UNUSED_VARIABLE(var) Eigen::internal::ignore_unused_variable(var);
|
|
|
|
#if !defined(EIGEN_ASM_COMMENT)
|
|
#if EIGEN_COMP_GNUC && (EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64)
|
|
#define EIGEN_ASM_COMMENT(X) __asm__("#" X)
|
|
#else
|
|
#define EIGEN_ASM_COMMENT(X)
|
|
#endif
|
|
#endif
|
|
|
|
|
|
//------------------------------------------------------------------------------------------
|
|
// Static and dynamic alignment control
|
|
//
|
|
// The main purpose of this section is to define EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
// as the maximal boundary in bytes on which dynamically and statically allocated data may be alignment respectively.
|
|
// The values of EIGEN_MAX_ALIGN_BYTES and EIGEN_MAX_STATIC_ALIGN_BYTES can be specified by the user. If not,
|
|
// a default value is automatically computed based on architecture, compiler, and OS.
|
|
//
|
|
// This section also defines macros EIGEN_ALIGN_TO_BOUNDARY(N) and the shortcuts EIGEN_ALIGN{8,16,32,_MAX}
|
|
// to be used to declare statically aligned buffers.
|
|
//------------------------------------------------------------------------------------------
|
|
|
|
|
|
/* EIGEN_ALIGN_TO_BOUNDARY(n) forces data to be n-byte aligned. This is used to satisfy SIMD requirements.
|
|
* However, we do that EVEN if vectorization (EIGEN_VECTORIZE) is disabled,
|
|
* so that vectorization doesn't affect binary compatibility.
|
|
*
|
|
* If we made alignment depend on whether or not EIGEN_VECTORIZE is defined, it would be impossible to link
|
|
* vectorized and non-vectorized code.
|
|
*/
|
|
#if (defined __CUDACC__)
|
|
#define EIGEN_ALIGN_TO_BOUNDARY(n) __align__(n)
|
|
#elif EIGEN_COMP_GNUC || EIGEN_COMP_PGI || EIGEN_COMP_IBM || EIGEN_COMP_ARM
|
|
#define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
|
|
#elif EIGEN_COMP_MSVC
|
|
#define EIGEN_ALIGN_TO_BOUNDARY(n) __declspec(align(n))
|
|
#elif EIGEN_COMP_SUNCC
|
|
// FIXME not sure about this one:
|
|
#define EIGEN_ALIGN_TO_BOUNDARY(n) __attribute__((aligned(n)))
|
|
#else
|
|
#error Please tell me what is the equivalent of __attribute__((aligned(n))) for your compiler
|
|
#endif
|
|
|
|
// If the user explicitly disable vectorization, then we also disable alignment
|
|
#if defined(EIGEN_DONT_VECTORIZE)
|
|
#define EIGEN_IDEAL_MAX_ALIGN_BYTES 0
|
|
#elif defined(__AVX__)
|
|
// 32 bytes static alignmeent is preferred only if really required
|
|
#define EIGEN_IDEAL_MAX_ALIGN_BYTES 32
|
|
#else
|
|
#define EIGEN_IDEAL_MAX_ALIGN_BYTES 16
|
|
#endif
|
|
|
|
|
|
// EIGEN_MIN_ALIGN_BYTES defines the minimal value for which the notion of explicit alignment makes sense
|
|
#define EIGEN_MIN_ALIGN_BYTES 16
|
|
|
|
// Defined the boundary (in bytes) on which the data needs to be aligned. Note
|
|
// that unless EIGEN_ALIGN is defined and not equal to 0, the data may not be
|
|
// aligned at all regardless of the value of this #define.
|
|
|
|
#if (defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN)) && defined(EIGEN_MAX_STATIC_ALIGN_BYTES) && EIGEN_MAX_STATIC_ALIGN_BYTES>0
|
|
#error EIGEN_MAX_STATIC_ALIGN_BYTES and EIGEN_DONT_ALIGN[_STATICALLY] are both defined with EIGEN_MAX_STATIC_ALIGN_BYTES!=0. Use EIGEN_MAX_STATIC_ALIGN_BYTES=0 as a synonym of EIGEN_DONT_ALIGN_STATICALLY.
|
|
#endif
|
|
|
|
// EIGEN_DONT_ALIGN_STATICALLY and EIGEN_DONT_ALIGN are deprectated
|
|
// They imply EIGEN_MAX_STATIC_ALIGN_BYTES=0
|
|
#if defined(EIGEN_DONT_ALIGN_STATICALLY) || defined(EIGEN_DONT_ALIGN)
|
|
#ifdef EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
#undef EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
#endif
|
|
#define EIGEN_MAX_STATIC_ALIGN_BYTES 0
|
|
#endif
|
|
|
|
#ifndef EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
|
|
// Try to automatically guess what is the best default value for EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
|
|
// 16 byte alignment is only useful for vectorization. Since it affects the ABI, we need to enable
|
|
// 16 byte alignment on all platforms where vectorization might be enabled. In theory we could always
|
|
// enable alignment, but it can be a cause of problems on some platforms, so we just disable it in
|
|
// certain common platform (compiler+architecture combinations) to avoid these problems.
|
|
// Only static alignment is really problematic (relies on nonstandard compiler extensions),
|
|
// try to keep heap alignment even when we have to disable static alignment.
|
|
#if EIGEN_COMP_GNUC && !(EIGEN_ARCH_i386_OR_x86_64 || EIGEN_ARCH_ARM_OR_ARM64 || EIGEN_ARCH_PPC || EIGEN_ARCH_IA64)
|
|
#define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
|
|
#elif EIGEN_ARCH_ARM_OR_ARM64 && EIGEN_COMP_GNUC_STRICT && EIGEN_GNUC_AT_MOST(4, 6)
|
|
// Old versions of GCC on ARM, at least 4.4, were once seen to have buggy static alignment support.
|
|
// Not sure which version fixed it, hopefully it doesn't affect 4.7, which is still somewhat in use.
|
|
// 4.8 and newer seem definitely unaffected.
|
|
#define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 1
|
|
#else
|
|
#define EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT 0
|
|
#endif
|
|
|
|
// static alignment is completely disabled with GCC 3, Sun Studio, and QCC/QNX
|
|
#if !EIGEN_GCC_AND_ARCH_DOESNT_WANT_STACK_ALIGNMENT \
|
|
&& !EIGEN_GCC3_OR_OLDER \
|
|
&& !EIGEN_COMP_SUNCC \
|
|
&& !EIGEN_OS_QNX
|
|
#define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 1
|
|
#else
|
|
#define EIGEN_ARCH_WANTS_STACK_ALIGNMENT 0
|
|
#endif
|
|
|
|
#if EIGEN_ARCH_WANTS_STACK_ALIGNMENT
|
|
#define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
|
|
#else
|
|
#define EIGEN_MAX_STATIC_ALIGN_BYTES 0
|
|
#endif
|
|
|
|
#endif
|
|
|
|
// If EIGEN_MAX_ALIGN_BYTES is defined, then it is considered as an upper bound for EIGEN_MAX_ALIGN_BYTES
|
|
#if defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES<EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
#undef EIGEN_MAX_STATIC_ALIGN_BYTES
|
|
#define EIGEN_MAX_STATIC_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
|
|
#endif
|
|
|
|
#if EIGEN_MAX_STATIC_ALIGN_BYTES==0 && !defined(EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT)
|
|
#define EIGEN_DISABLE_UNALIGNED_ARRAY_ASSERT
|
|
#endif
|
|
|
|
// At this stage, EIGEN_MAX_STATIC_ALIGN_BYTES>0 is the true test whether we want to align arrays on the stack or not.
|
|
// It takes into account both the user choice to explicitly enable/disable alignment (by settting EIGEN_MAX_STATIC_ALIGN_BYTES)
|
|
// and the architecture config (EIGEN_ARCH_WANTS_STACK_ALIGNMENT).
|
|
// Henceforth, only EIGEN_MAX_STATIC_ALIGN_BYTES should be used.
|
|
|
|
|
|
// Shortcuts to EIGEN_ALIGN_TO_BOUNDARY
|
|
#define EIGEN_ALIGN8 EIGEN_ALIGN_TO_BOUNDARY(8)
|
|
#define EIGEN_ALIGN16 EIGEN_ALIGN_TO_BOUNDARY(16)
|
|
#define EIGEN_ALIGN32 EIGEN_ALIGN_TO_BOUNDARY(32)
|
|
#define EIGEN_ALIGN64 EIGEN_ALIGN_TO_BOUNDARY(64)
|
|
#if EIGEN_MAX_STATIC_ALIGN_BYTES>0
|
|
#define EIGEN_ALIGN_MAX EIGEN_ALIGN_TO_BOUNDARY(EIGEN_MAX_STATIC_ALIGN_BYTES)
|
|
#else
|
|
#define EIGEN_ALIGN_MAX
|
|
#endif
|
|
|
|
|
|
// Dynamic alignment control
|
|
|
|
#if defined(EIGEN_DONT_ALIGN) && defined(EIGEN_MAX_ALIGN_BYTES) && EIGEN_MAX_ALIGN_BYTES>0
|
|
#error EIGEN_MAX_ALIGN_BYTES and EIGEN_DONT_ALIGN are both defined with EIGEN_MAX_ALIGN_BYTES!=0. Use EIGEN_MAX_ALIGN_BYTES=0 as a synonym of EIGEN_DONT_ALIGN.
|
|
#endif
|
|
|
|
#ifdef EIGEN_DONT_ALIGN
|
|
#ifdef EIGEN_MAX_ALIGN_BYTES
|
|
#undef EIGEN_MAX_ALIGN_BYTES
|
|
#endif
|
|
#define EIGEN_MAX_ALIGN_BYTES 0
|
|
#elif !defined(EIGEN_MAX_ALIGN_BYTES)
|
|
#define EIGEN_MAX_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
|
|
#endif
|
|
|
|
#if EIGEN_IDEAL_MAX_ALIGN_BYTES > EIGEN_MAX_ALIGN_BYTES
|
|
#define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_IDEAL_MAX_ALIGN_BYTES
|
|
#else
|
|
#define EIGEN_DEFAULT_ALIGN_BYTES EIGEN_MAX_ALIGN_BYTES
|
|
#endif
|
|
|
|
//----------------------------------------------------------------------
|
|
|
|
|
|
#ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD
|
|
#define EIGEN_RESTRICT
|
|
#endif
|
|
#ifndef EIGEN_RESTRICT
|
|
#define EIGEN_RESTRICT __restrict
|
|
#endif
|
|
|
|
#ifndef EIGEN_STACK_ALLOCATION_LIMIT
|
|
// 131072 == 128 KB
|
|
#define EIGEN_STACK_ALLOCATION_LIMIT 131072
|
|
#endif
|
|
|
|
#ifndef EIGEN_DEFAULT_IO_FORMAT
|
|
#ifdef EIGEN_MAKING_DOCS
|
|
// format used in Eigen's documentation
|
|
// needed to define it here as escaping characters in CMake add_definition's argument seems very problematic.
|
|
#define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat(3, 0, " ", "\n", "", "")
|
|
#else
|
|
#define EIGEN_DEFAULT_IO_FORMAT Eigen::IOFormat()
|
|
#endif
|
|
#endif
|
|
|
|
// just an empty macro !
|
|
#define EIGEN_EMPTY
|
|
|
|
#if EIGEN_COMP_MSVC_STRICT && EIGEN_COMP_MSVC < 1900 // for older MSVC versions using the base operator is sufficient (cf Bug 1000)
|
|
#define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
|
|
using Base::operator =;
|
|
#elif EIGEN_COMP_CLANG // workaround clang bug (see http://forum.kde.org/viewtopic.php?f=74&t=102653)
|
|
#define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
|
|
using Base::operator =; \
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) { Base::operator=(other); return *this; } \
|
|
template <typename OtherDerived> \
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const DenseBase<OtherDerived>& other) { Base::operator=(other.derived()); return *this; }
|
|
#else
|
|
#define EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived) \
|
|
using Base::operator =; \
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived& operator=(const Derived& other) \
|
|
{ \
|
|
Base::operator=(other); \
|
|
return *this; \
|
|
}
|
|
#endif
|
|
|
|
|
|
/** \internal
|
|
* \brief Macro to manually inherit assignment operators.
|
|
* This is necessary, because the implicitly defined assignment operator gets deleted when a custom operator= is defined.
|
|
*/
|
|
#define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived)
|
|
|
|
/**
|
|
* Just a side note. Commenting within defines works only by documenting
|
|
* behind the object (via '!<'). Comments cannot be multi-line and thus
|
|
* we have these extra long lines. What is confusing doxygen over here is
|
|
* that we use '\' and basically have a bunch of typedefs with their
|
|
* documentation in a single line.
|
|
**/
|
|
|
|
#define EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
|
|
typedef typename Eigen::internal::traits<Derived>::Scalar Scalar; /*!< \brief Numeric type, e.g. float, double, int or std::complex<float>. */ \
|
|
typedef typename Eigen::NumTraits<Scalar>::Real RealScalar; /*!< \brief The underlying numeric type for composed scalar types. \details In cases where Scalar is e.g. std::complex<T>, T were corresponding to RealScalar. */ \
|
|
typedef typename Base::CoeffReturnType CoeffReturnType; /*!< \brief The return type for coefficient access. \details Depending on whether the object allows direct coefficient access (e.g. for a MatrixXd), this type is either 'const Scalar&' or simply 'Scalar' for objects that do not allow direct coefficient access. */ \
|
|
typedef typename Eigen::internal::ref_selector<Derived>::type Nested; \
|
|
typedef typename Eigen::internal::traits<Derived>::StorageKind StorageKind; \
|
|
typedef typename Eigen::internal::traits<Derived>::StorageIndex StorageIndex; \
|
|
enum { RowsAtCompileTime = Eigen::internal::traits<Derived>::RowsAtCompileTime, \
|
|
ColsAtCompileTime = Eigen::internal::traits<Derived>::ColsAtCompileTime, \
|
|
Flags = Eigen::internal::traits<Derived>::Flags, \
|
|
SizeAtCompileTime = Base::SizeAtCompileTime, \
|
|
MaxSizeAtCompileTime = Base::MaxSizeAtCompileTime, \
|
|
IsVectorAtCompileTime = Base::IsVectorAtCompileTime }; \
|
|
using Base::derived; \
|
|
using Base::const_cast_derived;
|
|
|
|
|
|
// FIXME Maybe the EIGEN_DENSE_PUBLIC_INTERFACE could be removed as importing PacketScalar is rarely needed
|
|
#define EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
|
|
EIGEN_GENERIC_PUBLIC_INTERFACE(Derived) \
|
|
typedef typename Base::PacketScalar PacketScalar;
|
|
|
|
|
|
#define EIGEN_PLAIN_ENUM_MIN(a,b) (((int)a <= (int)b) ? (int)a : (int)b)
|
|
#define EIGEN_PLAIN_ENUM_MAX(a,b) (((int)a >= (int)b) ? (int)a : (int)b)
|
|
|
|
// EIGEN_SIZE_MIN_PREFER_DYNAMIC gives the min between compile-time sizes. 0 has absolute priority, followed by 1,
|
|
// followed by Dynamic, followed by other finite values. The reason for giving Dynamic the priority over
|
|
// finite values is that min(3, Dynamic) should be Dynamic, since that could be anything between 0 and 3.
|
|
#define EIGEN_SIZE_MIN_PREFER_DYNAMIC(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
|
|
: ((int)a == 1 || (int)b == 1) ? 1 \
|
|
: ((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
|
|
: ((int)a <= (int)b) ? (int)a : (int)b)
|
|
|
|
// EIGEN_SIZE_MIN_PREFER_FIXED is a variant of EIGEN_SIZE_MIN_PREFER_DYNAMIC comparing MaxSizes. The difference is that finite values
|
|
// now have priority over Dynamic, so that min(3, Dynamic) gives 3. Indeed, whatever the actual value is
|
|
// (between 0 and 3), it is not more than 3.
|
|
#define EIGEN_SIZE_MIN_PREFER_FIXED(a,b) (((int)a == 0 || (int)b == 0) ? 0 \
|
|
: ((int)a == 1 || (int)b == 1) ? 1 \
|
|
: ((int)a == Dynamic && (int)b == Dynamic) ? Dynamic \
|
|
: ((int)a == Dynamic) ? (int)b \
|
|
: ((int)b == Dynamic) ? (int)a \
|
|
: ((int)a <= (int)b) ? (int)a : (int)b)
|
|
|
|
// see EIGEN_SIZE_MIN_PREFER_DYNAMIC. No need for a separate variant for MaxSizes here.
|
|
#define EIGEN_SIZE_MAX(a,b) (((int)a == Dynamic || (int)b == Dynamic) ? Dynamic \
|
|
: ((int)a >= (int)b) ? (int)a : (int)b)
|
|
|
|
#define EIGEN_LOGICAL_XOR(a,b) (((a) || (b)) && !((a) && (b)))
|
|
|
|
#define EIGEN_IMPLIES(a,b) (!(a) || (b))
|
|
|
|
#define EIGEN_MAKE_CWISE_BINARY_OP(METHOD,FUNCTOR) \
|
|
template<typename OtherDerived> \
|
|
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const CwiseBinaryOp<FUNCTOR<Scalar>, const Derived, const OtherDerived> \
|
|
(METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const \
|
|
{ \
|
|
return CwiseBinaryOp<FUNCTOR<Scalar>, const Derived, const OtherDerived>(derived(), other.derived()); \
|
|
}
|
|
|
|
// the expression type of a cwise product
|
|
#define EIGEN_CWISE_PRODUCT_RETURN_TYPE(LHS,RHS) \
|
|
CwiseBinaryOp< \
|
|
internal::scalar_product_op< \
|
|
typename internal::traits<LHS>::Scalar, \
|
|
typename internal::traits<RHS>::Scalar \
|
|
>, \
|
|
const LHS, \
|
|
const RHS \
|
|
>
|
|
|
|
#ifdef EIGEN_EXCEPTIONS
|
|
# define EIGEN_THROW_X(X) throw X
|
|
# define EIGEN_THROW throw
|
|
# define EIGEN_TRY try
|
|
# define EIGEN_CATCH(X) catch (X)
|
|
#else
|
|
# ifdef __CUDA_ARCH__
|
|
# define EIGEN_THROW_X(X) asm("trap;") return {}
|
|
# define EIGEN_THROW asm("trap;"); return {}
|
|
# else
|
|
# define EIGEN_THROW_X(X) std::abort()
|
|
# define EIGEN_THROW std::abort()
|
|
# endif
|
|
# define EIGEN_TRY if (true)
|
|
# define EIGEN_CATCH(X) else
|
|
#endif
|
|
|
|
#if EIGEN_HAS_CXX11_NOEXCEPT
|
|
# define EIGEN_NO_THROW noexcept(true)
|
|
# define EIGEN_EXCEPTION_SPEC(X) noexcept(false)
|
|
#else
|
|
# define EIGEN_NO_THROW throw()
|
|
# define EIGEN_EXCEPTION_SPEC(X) throw(X)
|
|
#endif
|
|
|
|
#endif // EIGEN_MACROS_H
|