|  | // This file is part of Eigen, a lightweight C++ template library | 
|  | // for linear algebra. | 
|  | // | 
|  | // Copyright (C) 2008-2015 Gael Guennebaud <gael.guennebaud@inria.fr> | 
|  | // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com> | 
|  | // | 
|  | // This Source Code Form is subject to the terms of the Mozilla | 
|  | // Public License v. 2.0. If a copy of the MPL was not distributed | 
|  | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | 
|  |  | 
|  | #ifndef EIGEN_MACROS_H | 
|  | #define EIGEN_MACROS_H | 
|  | // IWYU pragma: private | 
|  | #include "../InternalHeaderCheck.h" | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Eigen version and basic defaults | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | #define EIGEN_WORLD_VERSION 3 | 
|  | #define EIGEN_MAJOR_VERSION 4 | 
|  | #define EIGEN_MINOR_VERSION 90 | 
|  |  | 
|  | #define EIGEN_VERSION_AT_LEAST(x, y, z) \ | 
|  | (EIGEN_WORLD_VERSION > x ||           \ | 
|  | (EIGEN_WORLD_VERSION >= x && (EIGEN_MAJOR_VERSION > y || (EIGEN_MAJOR_VERSION >= y && EIGEN_MINOR_VERSION >= z)))) | 
|  |  | 
|  | #ifdef EIGEN_DEFAULT_TO_ROW_MAJOR | 
|  | #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::RowMajor | 
|  | #else | 
|  | #define EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION Eigen::ColMajor | 
|  | #endif | 
|  |  | 
|  | #ifndef EIGEN_DEFAULT_DENSE_INDEX_TYPE | 
|  | #define EIGEN_DEFAULT_DENSE_INDEX_TYPE std::ptrdiff_t | 
|  | #endif | 
|  |  | 
|  | // Upperbound on the C++ version to use. | 
|  | // Expected values are 03, 11, 14, 17, etc. | 
|  | // By default, let's use an arbitrarily large C++ version. | 
|  | #ifndef EIGEN_MAX_CPP_VER | 
|  | #define EIGEN_MAX_CPP_VER 99 | 
|  | #endif | 
|  |  | 
|  | /** Allows to disable some optimizations which might affect the accuracy of the result. | 
|  | * Such optimization are enabled by default, and set EIGEN_FAST_MATH to 0 to disable them. | 
|  | * They currently include: | 
|  | *   - single precision ArrayBase::sin() and ArrayBase::cos() for SSE and AVX vectorization. | 
|  | */ | 
|  | #ifndef EIGEN_FAST_MATH | 
|  | #define EIGEN_FAST_MATH 1 | 
|  | #endif | 
|  |  | 
|  | #ifndef EIGEN_STACK_ALLOCATION_LIMIT | 
|  | // 131072 == 128 KB | 
|  | #if defined(__AVX512F__) | 
|  | #define EIGEN_STACK_ALLOCATION_LIMIT 0 | 
|  | #else | 
|  | #define EIGEN_STACK_ALLOCATION_LIMIT 16384 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Compiler identification, EIGEN_COMP_* | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | /// \internal EIGEN_COMP_GNUC set to version (e.g., 951 for GCC 9.5.1) for all compilers compatible with GCC | 
|  | #ifdef __GNUC__ | 
|  | #define EIGEN_COMP_GNUC (__GNUC__ * 100 + __GNUC_MINOR__ * 10 + __GNUC_PATCHLEVEL__) | 
|  | #else | 
|  | #define EIGEN_COMP_GNUC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANG set to version (e.g., 372 for clang 3.7.2) if the compiler is clang | 
|  | #if defined(__clang__) | 
|  | #define EIGEN_COMP_CLANG (__clang_major__ * 100 + __clang_minor__ * 10 + __clang_patchlevel__) | 
|  | #else | 
|  | #define EIGEN_COMP_CLANG 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANGAPPLE set to the version number (e.g. 9000000 for AppleClang 9.0) if the compiler is | 
|  | /// AppleClang | 
|  | #if defined(__clang__) && defined(__apple_build_version__) | 
|  | #define EIGEN_COMP_CLANGAPPLE __apple_build_version__ | 
|  | #else | 
|  | #define EIGEN_COMP_CLANGAPPLE 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CASTXML set to 1 if being preprocessed by CastXML | 
|  | #if defined(__castxml__) | 
|  | #define EIGEN_COMP_CASTXML 1 | 
|  | #else | 
|  | #define EIGEN_COMP_CASTXML 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_LLVM set to 1 if the compiler backend is llvm | 
|  | #if defined(__llvm__) | 
|  | #define EIGEN_COMP_LLVM 1 | 
|  | #else | 
|  | #define EIGEN_COMP_LLVM 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_ICC set to __INTEL_COMPILER if the compiler is Intel icc compiler, 0 otherwise | 
|  | #if defined(__INTEL_COMPILER) | 
|  | #define EIGEN_COMP_ICC __INTEL_COMPILER | 
|  | #else | 
|  | #define EIGEN_COMP_ICC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANGICC set to __INTEL_CLANG_COMPILER if the compiler is Intel icx compiler, 0 otherwise | 
|  | #if defined(__INTEL_CLANG_COMPILER) | 
|  | #define EIGEN_COMP_CLANGICC __INTEL_CLANG_COMPILER | 
|  | #else | 
|  | #define EIGEN_COMP_CLANGICC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_MINGW set to 1 if the compiler is mingw | 
|  | #if defined(__MINGW32__) | 
|  | #define EIGEN_COMP_MINGW 1 | 
|  | #else | 
|  | #define EIGEN_COMP_MINGW 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_SUNCC set to 1 if the compiler is Solaris Studio | 
|  | #if defined(__SUNPRO_CC) | 
|  | #define EIGEN_COMP_SUNCC 1 | 
|  | #else | 
|  | #define EIGEN_COMP_SUNCC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_MSVC set to _MSC_VER if the compiler is Microsoft Visual C++, 0 otherwise. | 
|  | #if defined(_MSC_VER) | 
|  | #define EIGEN_COMP_MSVC _MSC_VER | 
|  | #else | 
|  | #define EIGEN_COMP_MSVC 0 | 
|  | #endif | 
|  |  | 
|  | #if defined(__NVCC__) | 
|  | #if defined(__CUDACC_VER_MAJOR__) && (__CUDACC_VER_MAJOR__ >= 9) | 
|  | #define EIGEN_COMP_NVCC ((__CUDACC_VER_MAJOR__ * 10000) + (__CUDACC_VER_MINOR__ * 100)) | 
|  | #elif defined(__CUDACC_VER__) | 
|  | #define EIGEN_COMP_NVCC __CUDACC_VER__ | 
|  | #else | 
|  | #error "NVCC did not define compiler version." | 
|  | #endif | 
|  | #else | 
|  | #define EIGEN_COMP_NVCC 0 | 
|  | #endif | 
|  |  | 
|  | // For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC: | 
|  | //  name        ver   MSC_VER | 
|  | //  2015        14      1900 | 
|  | //  "15"        15      1900 | 
|  | //  2017-14.1   15.0    1910 | 
|  | //  2017-14.11  15.3    1911 | 
|  | //  2017-14.12  15.5    1912 | 
|  | //  2017-14.13  15.6    1913 | 
|  | //  2017-14.14  15.7    1914 | 
|  | //  2017        15.8    1915 | 
|  | //  2017        15.9    1916 | 
|  | //  2019 RTW    16.0    1920 | 
|  |  | 
|  | /// \internal EIGEN_COMP_MSVC_LANG set to _MSVC_LANG if the compiler is Microsoft Visual C++, 0 otherwise. | 
|  | #if defined(_MSVC_LANG) | 
|  | #define EIGEN_COMP_MSVC_LANG _MSVC_LANG | 
|  | #else | 
|  | #define EIGEN_COMP_MSVC_LANG 0 | 
|  | #endif | 
|  |  | 
|  | // For the record, here is a table summarizing the possible values for EIGEN_COMP_MSVC_LANG: | 
|  | // MSVC option                          Standard  MSVC_LANG | 
|  | // /std:c++14 (default as of VS 2019)   C++14     201402L | 
|  | // /std:c++17                           C++17     201703L | 
|  | // /std:c++latest                       >C++17    >201703L | 
|  |  | 
|  | /// \internal EIGEN_COMP_MSVC_STRICT set to 1 if the compiler is really Microsoft Visual C++ and not ,e.g., ICC or | 
|  | /// clang-cl | 
|  | #if EIGEN_COMP_MSVC && !(EIGEN_COMP_ICC || EIGEN_COMP_LLVM || EIGEN_COMP_CLANG) | 
|  | #define EIGEN_COMP_MSVC_STRICT _MSC_VER | 
|  | #else | 
|  | #define EIGEN_COMP_MSVC_STRICT 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_IBM set to xlc version if the compiler is IBM XL C++ | 
|  | // XLC   version | 
|  | // 3.1   0x0301 | 
|  | // 4.5   0x0405 | 
|  | // 5.0   0x0500 | 
|  | // 12.1  0x0C01 | 
|  | #if defined(__IBMCPP__) || defined(__xlc__) || defined(__ibmxl__) | 
|  | #define EIGEN_COMP_IBM __xlC__ | 
|  | #else | 
|  | #define EIGEN_COMP_IBM 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_PGI set to PGI version if the compiler is Portland Group Compiler | 
|  | #if defined(__PGI) | 
|  | #define EIGEN_COMP_PGI (__PGIC__ * 100 + __PGIC_MINOR__) | 
|  | #else | 
|  | #define EIGEN_COMP_PGI 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_NVHPC set to NVHPC version if the compiler is nvc++ | 
|  | #if defined(__NVCOMPILER) | 
|  | #define EIGEN_COMP_NVHPC (__NVCOMPILER_MAJOR__ * 100 + __NVCOMPILER_MINOR__) | 
|  | #else | 
|  | #define EIGEN_COMP_NVHPC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_ARM set to 1 if the compiler is ARM Compiler | 
|  | #if defined(__CC_ARM) || defined(__ARMCC_VERSION) | 
|  | #define EIGEN_COMP_ARM 1 | 
|  | #else | 
|  | #define EIGEN_COMP_ARM 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_EMSCRIPTEN set to 1 if the compiler is Emscripten Compiler | 
|  | #if defined(__EMSCRIPTEN__) | 
|  | #define EIGEN_COMP_EMSCRIPTEN 1 | 
|  | #else | 
|  | #define EIGEN_COMP_EMSCRIPTEN 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_FCC set to FCC version if the compiler is Fujitsu Compiler (traditional mode) | 
|  | /// \note The Fujitsu C/C++ compiler uses the traditional mode based | 
|  | /// on EDG g++ 6.1 by default or if invoked with the -Nnoclang flag | 
|  | #if defined(__FUJITSU) | 
|  | #define EIGEN_COMP_FCC (__FCC_major__ * 100 + __FCC_minor__ * 10 + __FCC_patchlevel__) | 
|  | #else | 
|  | #define EIGEN_COMP_FCC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANGFCC set to FCC version if the compiler is Fujitsu Compiler (Clang mode) | 
|  | /// \note The Fujitsu C/C++ compiler uses the non-traditional mode | 
|  | /// based on Clang 7.1.0 if invoked with the -Nclang flag | 
|  | #if defined(__CLANG_FUJITSU) | 
|  | #define EIGEN_COMP_CLANGFCC (__FCC_major__ * 100 + __FCC_minor__ * 10 + __FCC_patchlevel__) | 
|  | #else | 
|  | #define EIGEN_COMP_CLANGFCC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CPE set to CPE version if the compiler is HPE Cray Compiler (GCC based) | 
|  | /// \note This is the SVE-enabled C/C++ compiler from the HPE Cray | 
|  | /// Programming Environment (CPE) based on Cray GCC 8.1 | 
|  | #if defined(_CRAYC) && !defined(__clang__) | 
|  | #define EIGEN_COMP_CPE (_RELEASE_MAJOR * 100 + _RELEASE_MINOR * 10 + _RELEASE_PATCHLEVEL) | 
|  | #else | 
|  | #define EIGEN_COMP_CPE 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANGCPE set to CPE version if the compiler is HPE Cray Compiler (Clang based) | 
|  | /// \note This is the C/C++ compiler from the HPE Cray Programming | 
|  | /// Environment (CPE) based on Cray Clang 11.0 without SVE-support | 
|  | #if defined(_CRAYC) && defined(__clang__) | 
|  | #define EIGEN_COMP_CLANGCPE (_RELEASE_MAJOR * 100 + _RELEASE_MINOR * 10 + _RELEASE_PATCHLEVEL) | 
|  | #else | 
|  | #define EIGEN_COMP_CLANGCPE 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_LCC set to 1 if the compiler is MCST-LCC (MCST eLbrus Compiler Collection) | 
|  | #if defined(__LCC__) && defined(__MCST__) | 
|  | #define EIGEN_COMP_LCC (__LCC__ * 100 + __LCC_MINOR__) | 
|  | #else | 
|  | #define EIGEN_COMP_LCC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_GNUC_STRICT set to 1 if the compiler is really GCC and not a compatible compiler (e.g., ICC, | 
|  | /// clang, mingw, etc.) | 
|  | #if EIGEN_COMP_GNUC &&                                                                                      \ | 
|  | !(EIGEN_COMP_CLANG || EIGEN_COMP_ICC || EIGEN_COMP_CLANGICC || EIGEN_COMP_MINGW || EIGEN_COMP_PGI ||    \ | 
|  | EIGEN_COMP_IBM || EIGEN_COMP_ARM || EIGEN_COMP_EMSCRIPTEN || EIGEN_COMP_FCC || EIGEN_COMP_CLANGFCC || \ | 
|  | EIGEN_COMP_CPE || EIGEN_COMP_CLANGCPE || EIGEN_COMP_LCC) | 
|  | #define EIGEN_COMP_GNUC_STRICT 1 | 
|  | #else | 
|  | #define EIGEN_COMP_GNUC_STRICT 0 | 
|  | #endif | 
|  |  | 
|  | // GCC, and compilers that pretend to be it, have different version schemes, so this only makes sense to use with the | 
|  | // real GCC. | 
|  | #if EIGEN_COMP_GNUC_STRICT | 
|  | #define EIGEN_GNUC_STRICT_AT_LEAST(x, y, z)                   \ | 
|  | ((__GNUC__ > x) || (__GNUC__ == x && __GNUC_MINOR__ > y) || \ | 
|  | (__GNUC__ == x && __GNUC_MINOR__ == y && __GNUC_PATCHLEVEL__ >= z)) | 
|  | #define EIGEN_GNUC_STRICT_LESS_THAN(x, y, z)                  \ | 
|  | ((__GNUC__ < x) || (__GNUC__ == x && __GNUC_MINOR__ < y) || \ | 
|  | (__GNUC__ == x && __GNUC_MINOR__ == y && __GNUC_PATCHLEVEL__ < z)) | 
|  | #else | 
|  | #define EIGEN_GNUC_STRICT_AT_LEAST(x, y, z) 0 | 
|  | #define EIGEN_GNUC_STRICT_LESS_THAN(x, y, z) 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_COMP_CLANG_STRICT set to 1 if the compiler is really Clang and not a compatible compiler (e.g., | 
|  | /// AppleClang, etc.) | 
|  | #if EIGEN_COMP_CLANG && !(EIGEN_COMP_CLANGAPPLE || EIGEN_COMP_CLANGICC || EIGEN_COMP_CLANGFCC || EIGEN_COMP_CLANGCPE) | 
|  | #define EIGEN_COMP_CLANG_STRICT 1 | 
|  | #else | 
|  | #define EIGEN_COMP_CLANG_STRICT 0 | 
|  | #endif | 
|  |  | 
|  | // Clang, and compilers forked from it, have different version schemes, so this only makes sense to use with the real | 
|  | // Clang. | 
|  | #if EIGEN_COMP_CLANG_STRICT | 
|  | #define EIGEN_CLANG_STRICT_AT_LEAST(x, y, z)                                 \ | 
|  | ((__clang_major__ > x) || (__clang_major__ == x && __clang_minor__ > y) || \ | 
|  | (__clang_major__ == x && __clang_minor__ == y && __clang_patchlevel__ >= z)) | 
|  | #define EIGEN_CLANG_STRICT_LESS_THAN(x, y, z)                                \ | 
|  | ((__clang_major__ < x) || (__clang_major__ == x && __clang_minor__ < y) || \ | 
|  | (__clang_major__ == x && __clang_minor__ == y && __clang_patchlevel__ < z)) | 
|  | #else | 
|  | #define EIGEN_CLANG_STRICT_AT_LEAST(x, y, z) 0 | 
|  | #define EIGEN_CLANG_STRICT_LESS_THAN(x, y, z) 0 | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Architecture identification, EIGEN_ARCH_* | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | #if defined(__x86_64__) || (defined(_M_X64) && !defined(_M_ARM64EC)) || defined(__amd64) | 
|  | #define EIGEN_ARCH_x86_64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_x86_64 0 | 
|  | #endif | 
|  |  | 
|  | #if defined(__i386__) || defined(_M_IX86) || defined(_X86_) || defined(__i386) | 
|  | #define EIGEN_ARCH_i386 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_i386 0 | 
|  | #endif | 
|  |  | 
|  | #if EIGEN_ARCH_x86_64 || EIGEN_ARCH_i386 | 
|  | #define EIGEN_ARCH_i386_OR_x86_64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_i386_OR_x86_64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_ARM set to 1 if the architecture is ARM | 
|  | #if defined(__arm__) | 
|  | #define EIGEN_ARCH_ARM 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_ARM 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_ARM64 set to 1 if the architecture is ARM64 | 
|  | #if defined(__aarch64__) || defined(_M_ARM64) || defined(_M_ARM64EC) | 
|  | #define EIGEN_ARCH_ARM64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_ARM64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_ARM_OR_ARM64 set to 1 if the architecture is ARM or ARM64 | 
|  | #if EIGEN_ARCH_ARM || EIGEN_ARCH_ARM64 | 
|  | #define EIGEN_ARCH_ARM_OR_ARM64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_ARM_OR_ARM64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_ARMV8 set to 1 if the architecture is armv8 or greater. | 
|  | #if EIGEN_ARCH_ARM_OR_ARM64 && defined(__ARM_ARCH) && __ARM_ARCH >= 8 | 
|  | #define EIGEN_ARCH_ARMV8 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_ARMV8 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_HAS_ARM64_FP16 set to 1 if the architecture provides an IEEE | 
|  | /// compliant Arm fp16 type | 
|  | #if EIGEN_ARCH_ARM_OR_ARM64 | 
|  | #ifndef EIGEN_HAS_ARM64_FP16 | 
|  | #if defined(__ARM_FP16_FORMAT_IEEE) | 
|  | #define EIGEN_HAS_ARM64_FP16 1 | 
|  | #else | 
|  | #define EIGEN_HAS_ARM64_FP16 0 | 
|  | #endif | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_MIPS set to 1 if the architecture is MIPS | 
|  | #if defined(__mips__) || defined(__mips) | 
|  | #define EIGEN_ARCH_MIPS 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_MIPS 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_LOONGARCH64 set to 1 if the architecture is LOONGARCH64 | 
|  | #if defined(__loongarch64) | 
|  | #define EIGEN_ARCH_LOONGARCH64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_LOONGARCH64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_SPARC set to 1 if the architecture is SPARC | 
|  | #if defined(__sparc__) || defined(__sparc) | 
|  | #define EIGEN_ARCH_SPARC 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_SPARC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_IA64 set to 1 if the architecture is Intel Itanium | 
|  | #if defined(__ia64__) | 
|  | #define EIGEN_ARCH_IA64 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_IA64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_ARCH_PPC set to 1 if the architecture is PowerPC | 
|  | #if defined(__powerpc__) || defined(__ppc__) || defined(_M_PPC) || defined(__POWERPC__) | 
|  | #define EIGEN_ARCH_PPC 1 | 
|  | #else | 
|  | #define EIGEN_ARCH_PPC 0 | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Operating system identification, EIGEN_OS_* | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | /// \internal EIGEN_OS_UNIX set to 1 if the OS is a unix variant | 
|  | #if defined(__unix__) || defined(__unix) | 
|  | #define EIGEN_OS_UNIX 1 | 
|  | #else | 
|  | #define EIGEN_OS_UNIX 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_LINUX set to 1 if the OS is based on Linux kernel | 
|  | #if defined(__linux__) | 
|  | #define EIGEN_OS_LINUX 1 | 
|  | #else | 
|  | #define EIGEN_OS_LINUX 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_ANDROID set to 1 if the OS is Android | 
|  | // note: ANDROID is defined when using ndk_build, __ANDROID__ is defined when using a standalone toolchain. | 
|  | #if defined(__ANDROID__) || defined(ANDROID) | 
|  | #define EIGEN_OS_ANDROID 1 | 
|  |  | 
|  | // Since NDK r16, `__NDK_MAJOR__` and `__NDK_MINOR__` are defined in | 
|  | // <android/ndk-version.h>. For NDK < r16, users should define these macros, | 
|  | // e.g. `-D__NDK_MAJOR__=11 -D__NKD_MINOR__=0` for NDK r11. | 
|  | #if defined __has_include | 
|  | #if __has_include(<android/ndk-version.h>) | 
|  | #include <android/ndk-version.h> | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #else | 
|  | #define EIGEN_OS_ANDROID 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_GNULINUX set to 1 if the OS is GNU Linux and not Linux-based OS (e.g., not android) | 
|  | #if defined(__gnu_linux__) && !(EIGEN_OS_ANDROID) | 
|  | #define EIGEN_OS_GNULINUX 1 | 
|  | #else | 
|  | #define EIGEN_OS_GNULINUX 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_BSD set to 1 if the OS is a BSD variant | 
|  | #if defined(__FreeBSD__) || defined(__NetBSD__) || defined(__OpenBSD__) || defined(__bsdi__) || defined(__DragonFly__) | 
|  | #define EIGEN_OS_BSD 1 | 
|  | #else | 
|  | #define EIGEN_OS_BSD 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_MAC set to 1 if the OS is MacOS | 
|  | #if defined(__APPLE__) | 
|  | #define EIGEN_OS_MAC 1 | 
|  | #else | 
|  | #define EIGEN_OS_MAC 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_QNX set to 1 if the OS is QNX | 
|  | #if defined(__QNX__) | 
|  | #define EIGEN_OS_QNX 1 | 
|  | #else | 
|  | #define EIGEN_OS_QNX 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_WIN set to 1 if the OS is Windows based | 
|  | #if defined(_WIN32) | 
|  | #define EIGEN_OS_WIN 1 | 
|  | #else | 
|  | #define EIGEN_OS_WIN 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_WIN64 set to 1 if the OS is Windows 64bits | 
|  | #if defined(_WIN64) | 
|  | #define EIGEN_OS_WIN64 1 | 
|  | #else | 
|  | #define EIGEN_OS_WIN64 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_WINCE set to 1 if the OS is Windows CE | 
|  | #if defined(_WIN32_WCE) | 
|  | #define EIGEN_OS_WINCE 1 | 
|  | #else | 
|  | #define EIGEN_OS_WINCE 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_CYGWIN set to 1 if the OS is Windows/Cygwin | 
|  | #if defined(__CYGWIN__) | 
|  | #define EIGEN_OS_CYGWIN 1 | 
|  | #else | 
|  | #define EIGEN_OS_CYGWIN 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_WIN_STRICT set to 1 if the OS is really Windows and not some variants | 
|  | #if EIGEN_OS_WIN && !(EIGEN_OS_WINCE || EIGEN_OS_CYGWIN) | 
|  | #define EIGEN_OS_WIN_STRICT 1 | 
|  | #else | 
|  | #define EIGEN_OS_WIN_STRICT 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_SUN set to __SUNPRO_C if the OS is SUN | 
|  | // compiler  solaris   __SUNPRO_C | 
|  | // version   studio | 
|  | // 5.7       10        0x570 | 
|  | // 5.8       11        0x580 | 
|  | // 5.9       12        0x590 | 
|  | // 5.10	     12.1      0x5100 | 
|  | // 5.11	     12.2      0x5110 | 
|  | // 5.12	     12.3      0x5120 | 
|  | #if (defined(sun) || defined(__sun)) && !(defined(__SVR4) || defined(__svr4__)) | 
|  | #define EIGEN_OS_SUN __SUNPRO_C | 
|  | #else | 
|  | #define EIGEN_OS_SUN 0 | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_OS_SOLARIS set to 1 if the OS is Solaris | 
|  | #if (defined(sun) || defined(__sun)) && (defined(__SVR4) || defined(__svr4__)) | 
|  | #define EIGEN_OS_SOLARIS 1 | 
|  | #else | 
|  | #define EIGEN_OS_SOLARIS 0 | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Detect GPU compilers and architectures | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | // NVCC is not supported as the target platform for HIPCC | 
|  | // Note that this also makes EIGEN_CUDACC and EIGEN_HIPCC mutually exclusive | 
|  | #if defined(__NVCC__) && defined(__HIPCC__) | 
|  | #error "NVCC as the target platform for HIPCC is currently not supported." | 
|  | #endif | 
|  |  | 
|  | #if defined(__CUDACC__) && !defined(EIGEN_NO_CUDA) && !defined(__SYCL_DEVICE_ONLY__) | 
|  | // Means the compiler is either nvcc or clang with CUDA enabled | 
|  | #define EIGEN_CUDACC __CUDACC__ | 
|  | #endif | 
|  |  | 
|  | #if defined(__CUDA_ARCH__) && !defined(EIGEN_NO_CUDA) && !defined(__SYCL_DEVICE_ONLY__) | 
|  | // Means we are generating code for the device | 
|  | #define EIGEN_CUDA_ARCH __CUDA_ARCH__ | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_CUDACC) | 
|  | #include <cuda.h> | 
|  | #define EIGEN_CUDA_SDK_VER (CUDA_VERSION * 10) | 
|  | #else | 
|  | #define EIGEN_CUDA_SDK_VER 0 | 
|  | #endif | 
|  |  | 
|  | #if defined(__HIPCC__) && !defined(EIGEN_NO_HIP) && !defined(__SYCL_DEVICE_ONLY__) | 
|  | // Means the compiler is HIPCC (analogous to EIGEN_CUDACC, but for HIP) | 
|  | #define EIGEN_HIPCC __HIPCC__ | 
|  |  | 
|  | // We need to include hip_runtime.h here because it pulls in | 
|  | // ++ hip_common.h which contains the define for  __HIP_DEVICE_COMPILE__ | 
|  | // ++ host_defines.h which contains the defines for the __host__ and __device__ macros | 
|  | #include <hip/hip_runtime.h> | 
|  |  | 
|  | #if defined(__HIP_DEVICE_COMPILE__) && !defined(__SYCL_DEVICE_ONLY__) | 
|  | // analogous to EIGEN_CUDA_ARCH, but for HIP | 
|  | #define EIGEN_HIP_DEVICE_COMPILE __HIP_DEVICE_COMPILE__ | 
|  | #endif | 
|  |  | 
|  | // For HIP (ROCm 3.5 and higher), we need to explicitly set the launch_bounds attribute | 
|  | // value to 1024. The compiler assigns a default value of 256 when the attribute is not | 
|  | // specified. This results in failures on the HIP platform, for cases when a GPU kernel | 
|  | // without an explicit launch_bounds attribute is called with a threads_per_block value | 
|  | // greater than 256. | 
|  | // | 
|  | // This is a regression in functioanlity and is expected to be fixed within the next | 
|  | // couple of ROCm releases (compiler will go back to using 1024 value as the default) | 
|  | // | 
|  | // In the meantime, we will use a "only enabled for HIP" macro to set the launch_bounds | 
|  | // attribute. | 
|  |  | 
|  | #define EIGEN_HIP_LAUNCH_BOUNDS_1024 __launch_bounds__(1024) | 
|  |  | 
|  | #endif | 
|  |  | 
|  | #if !defined(EIGEN_HIP_LAUNCH_BOUNDS_1024) | 
|  | #define EIGEN_HIP_LAUNCH_BOUNDS_1024 | 
|  | #endif  // !defined(EIGEN_HIP_LAUNCH_BOUNDS_1024) | 
|  |  | 
|  | // Unify CUDA/HIPCC | 
|  |  | 
|  | #if defined(EIGEN_CUDACC) || defined(EIGEN_HIPCC) | 
|  | // | 
|  | // If either EIGEN_CUDACC or EIGEN_HIPCC is defined, then define EIGEN_GPUCC | 
|  | // | 
|  | #define EIGEN_GPUCC | 
|  | // | 
|  | // EIGEN_HIPCC implies the HIP compiler and is used to tweak Eigen code for use in HIP kernels | 
|  | // EIGEN_CUDACC implies the CUDA compiler and is used to tweak Eigen code for use in CUDA kernels | 
|  | // | 
|  | // In most cases the same tweaks are required to the Eigen code to enable in both the HIP and CUDA kernels. | 
|  | // For those cases, the corresponding code should be guarded with | 
|  | //      #if defined(EIGEN_GPUCC) | 
|  | // instead of | 
|  | //      #if defined(EIGEN_CUDACC) || defined(EIGEN_HIPCC) | 
|  | // | 
|  | // For cases where the tweak is specific to HIP, the code should be guarded with | 
|  | //      #if defined(EIGEN_HIPCC) | 
|  | // | 
|  | // For cases where the tweak is specific to CUDA, the code should be guarded with | 
|  | //      #if defined(EIGEN_CUDACC) | 
|  | // | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | // | 
|  | // If either EIGEN_CUDA_ARCH or EIGEN_HIP_DEVICE_COMPILE is defined, then define EIGEN_GPU_COMPILE_PHASE | 
|  | // | 
|  | #define EIGEN_GPU_COMPILE_PHASE | 
|  | // | 
|  | // GPU compilers (HIPCC, NVCC) typically do two passes over the source code, | 
|  | //   + one to compile the source for the "host" (ie CPU) | 
|  | //   + another to compile the source for the "device" (ie. GPU) | 
|  | // | 
|  | // Code that needs to enabled only during the either the "host" or "device" compilation phase | 
|  | // needs to be guarded with a macro that indicates the current compilation phase | 
|  | // | 
|  | // EIGEN_HIP_DEVICE_COMPILE implies the device compilation phase in HIP | 
|  | // EIGEN_CUDA_ARCH implies the device compilation phase in CUDA | 
|  | // | 
|  | // In most cases, the "host" / "device" specific code is the same for both HIP and CUDA | 
|  | // For those cases, the code should be guarded with | 
|  | //       #if defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | // instead of | 
|  | //       #if defined(EIGEN_CUDA_ARCH) || defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | // | 
|  | // For cases where the tweak is specific to HIP, the code should be guarded with | 
|  | //      #if defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | // | 
|  | // For cases where the tweak is specific to CUDA, the code should be guarded with | 
|  | //      #if defined(EIGEN_CUDA_ARCH) | 
|  | // | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC set to 1 if the architecture | 
|  | /// supports Neon vector intrinsics for fp16. | 
|  | #if EIGEN_ARCH_ARM_OR_ARM64 | 
|  | #ifndef EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC | 
|  | // Clang only supports FP16 on aarch64, and not all intrinsics are available | 
|  | // on A32 anyways even in GCC (e.g. vdiv_f16, vsqrt_f16). | 
|  | #if EIGEN_ARCH_ARM64 && defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC) && !defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | #define EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC 1 | 
|  | #else | 
|  | #define EIGEN_HAS_ARM64_FP16_VECTOR_ARITHMETIC 0 | 
|  | #endif | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | /// \internal EIGEN_HAS_ARM64_FP16_SCALAR_ARITHMETIC set to 1 if the architecture | 
|  | /// supports Neon scalar intrinsics for fp16. | 
|  | #if EIGEN_ARCH_ARM_OR_ARM64 | 
|  | #ifndef EIGEN_HAS_ARM64_FP16_SCALAR_ARITHMETIC | 
|  | // Clang only supports FP16 on aarch64, and not all intrinsics are available | 
|  | // on A32 anyways, even in GCC (e.g. vceqh_f16). | 
|  | #if EIGEN_ARCH_ARM64 && defined(__ARM_FEATURE_FP16_SCALAR_ARITHMETIC) && !defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | #define EIGEN_HAS_ARM64_FP16_SCALAR_ARITHMETIC 1 | 
|  | #endif | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_USE_SYCL) && defined(__SYCL_DEVICE_ONLY__) | 
|  | // EIGEN_USE_SYCL is a user-defined macro while __SYCL_DEVICE_ONLY__ is a compiler-defined macro. | 
|  | // In most cases we want to check if both macros are defined which can be done using the define below. | 
|  | #define SYCL_DEVICE_ONLY | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Detect Compiler/Architecture/OS specific features | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | // Cross compiler wrapper around LLVM's __has_builtin | 
|  | #ifdef __has_builtin | 
|  | #define EIGEN_HAS_BUILTIN(x) __has_builtin(x) | 
|  | #else | 
|  | #define EIGEN_HAS_BUILTIN(x) 0 | 
|  | #endif | 
|  |  | 
|  | // A Clang feature extension to determine compiler features. | 
|  | // We use it to determine 'cxx_rvalue_references' | 
|  | #ifndef __has_feature | 
|  | #define __has_feature(x) 0 | 
|  | #endif | 
|  |  | 
|  | // The macro EIGEN_CPLUSPLUS is a replacement for __cplusplus/_MSVC_LANG that | 
|  | // works for both platforms, indicating the C++ standard version number. | 
|  | // | 
|  | // With MSVC, without defining /Zc:__cplusplus, the __cplusplus macro will | 
|  | // report 199711L regardless of the language standard specified via /std. | 
|  | // We need to rely on _MSVC_LANG instead, which is only available after | 
|  | // VS2015.3. | 
|  | #if EIGEN_COMP_MSVC_LANG > 0 | 
|  | #define EIGEN_CPLUSPLUS EIGEN_COMP_MSVC_LANG | 
|  | #elif EIGEN_COMP_MSVC >= 1900 | 
|  | #define EIGEN_CPLUSPLUS 201103L | 
|  | #elif defined(__cplusplus) | 
|  | #define EIGEN_CPLUSPLUS __cplusplus | 
|  | #else | 
|  | #define EIGEN_CPLUSPLUS 0 | 
|  | #endif | 
|  |  | 
|  | // The macro EIGEN_COMP_CXXVER defines the c++ version expected by the compiler. | 
|  | // For instance, if compiling with gcc and -std=c++17, then EIGEN_COMP_CXXVER | 
|  | // is defined to 17. | 
|  | #if EIGEN_CPLUSPLUS >= 202002L | 
|  | #define EIGEN_COMP_CXXVER 20 | 
|  | #elif EIGEN_CPLUSPLUS >= 201703L | 
|  | #define EIGEN_COMP_CXXVER 17 | 
|  | #elif EIGEN_CPLUSPLUS >= 201402L | 
|  | #define EIGEN_COMP_CXXVER 14 | 
|  | #elif EIGEN_CPLUSPLUS >= 201103L | 
|  | #define EIGEN_COMP_CXXVER 11 | 
|  | #else | 
|  | #define EIGEN_COMP_CXXVER 03 | 
|  | #endif | 
|  |  | 
|  | // The macros EIGEN_HAS_CXX?? defines a rough estimate of available c++ features | 
|  | // but in practice we should not rely on them but rather on the availability of | 
|  | // individual features as defined later. | 
|  | // This is why there is no EIGEN_HAS_CXX17. | 
|  | #if EIGEN_MAX_CPP_VER < 14 || EIGEN_COMP_CXXVER < 14 || (EIGEN_COMP_MSVC && EIGEN_COMP_MSVC < 1900) || \ | 
|  | (EIGEN_COMP_ICC && EIGEN_COMP_ICC < 1500) || (EIGEN_COMP_NVCC && EIGEN_COMP_NVCC < 80000) ||       \ | 
|  | (EIGEN_COMP_CLANG_STRICT && EIGEN_COMP_CLANG < 390) ||                                             \ | 
|  | (EIGEN_COMP_CLANGAPPLE && EIGEN_COMP_CLANGAPPLE < 9000000) || (EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC < 510) | 
|  | #error Eigen requires at least c++14 support. | 
|  | #endif | 
|  |  | 
|  | // Does the compiler support C99? | 
|  | // Need to include <cmath> to make sure _GLIBCXX_USE_C99 gets defined | 
|  | #include <cmath> | 
|  | #ifndef EIGEN_HAS_C99_MATH | 
|  | #if ((defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901)) ||                                          \ | 
|  | (defined(__GNUC__) && defined(_GLIBCXX_USE_C99)) || (defined(_LIBCPP_VERSION) && !defined(_MSC_VER)) || \ | 
|  | (EIGEN_COMP_MSVC) || defined(SYCL_DEVICE_ONLY)) | 
|  | #define EIGEN_HAS_C99_MATH 1 | 
|  | #else | 
|  | #define EIGEN_HAS_C99_MATH 0 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | // Does the compiler support std::hash? | 
|  | #ifndef EIGEN_HAS_STD_HASH | 
|  | // The std::hash struct is defined in C++11 but is not labelled as a __device__ | 
|  | // function and is not constexpr, so cannot be used on device. | 
|  | #if !defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | #define EIGEN_HAS_STD_HASH 1 | 
|  | #else | 
|  | #define EIGEN_HAS_STD_HASH 0 | 
|  | #endif | 
|  | #endif  // EIGEN_HAS_STD_HASH | 
|  |  | 
|  | #ifndef EIGEN_HAS_STD_INVOKE_RESULT | 
|  | #if EIGEN_MAX_CPP_VER >= 17 && EIGEN_COMP_CXXVER >= 17 | 
|  | #define EIGEN_HAS_STD_INVOKE_RESULT 1 | 
|  | #else | 
|  | #define EIGEN_HAS_STD_INVOKE_RESULT 0 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #define EIGEN_CONSTEXPR constexpr | 
|  |  | 
|  | // NOTE: the required Apple's clang version is very conservative | 
|  | //       and it could be that XCode 9 works just fine. | 
|  | // NOTE: the MSVC version is based on https://en.cppreference.com/w/cpp/compiler_support | 
|  | //       and not tested. | 
|  | // NOTE: Intel C++ Compiler Classic (icc) Version 19.0 and later supports dynamic allocation | 
|  | //       for over-aligned data, but not in a manner that is compatible with Eigen. | 
|  | //       See https://gitlab.com/libeigen/eigen/-/issues/2575 | 
|  | #ifndef EIGEN_HAS_CXX17_OVERALIGN | 
|  | #if EIGEN_MAX_CPP_VER >= 17 && EIGEN_COMP_CXXVER >= 17 &&                                                            \ | 
|  | ((EIGEN_COMP_MSVC >= 1912) || (EIGEN_GNUC_STRICT_AT_LEAST(7, 0, 0)) || (EIGEN_CLANG_STRICT_AT_LEAST(5, 0, 0)) || \ | 
|  | (EIGEN_COMP_CLANGAPPLE && EIGEN_COMP_CLANGAPPLE >= 10000000)) &&                                                \ | 
|  | !EIGEN_COMP_ICC | 
|  | #define EIGEN_HAS_CXX17_OVERALIGN 1 | 
|  | #else | 
|  | #define EIGEN_HAS_CXX17_OVERALIGN 0 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_CUDACC) | 
|  | // While available already with c++11, this is useful mostly starting with c++14 and relaxed constexpr rules | 
|  | #if defined(__NVCC__) | 
|  | // nvcc considers constexpr functions as __host__ __device__ with the option --expt-relaxed-constexpr | 
|  | #ifdef __CUDACC_RELAXED_CONSTEXPR__ | 
|  | #define EIGEN_CONSTEXPR_ARE_DEVICE_FUNC | 
|  | #endif | 
|  | #elif defined(__clang__) && defined(__CUDA__) && __has_feature(cxx_relaxed_constexpr) | 
|  | // clang++ always considers constexpr functions as implicitly __host__ __device__ | 
|  | #define EIGEN_CONSTEXPR_ARE_DEVICE_FUNC | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | // Does the compiler support the __int128 and __uint128_t extensions for 128-bit | 
|  | // integer arithmetic? | 
|  | // | 
|  | // Clang and GCC define __SIZEOF_INT128__ when these extensions are supported, | 
|  | // but we avoid using them in certain cases: | 
|  | // | 
|  | // * Building using Clang for Windows, where the Clang runtime library has | 
|  | //   128-bit support only on LP64 architectures, but Windows is LLP64. | 
|  | #ifndef EIGEN_HAS_BUILTIN_INT128 | 
|  | #if defined(__SIZEOF_INT128__) && !(EIGEN_OS_WIN && EIGEN_COMP_CLANG) | 
|  | #define EIGEN_HAS_BUILTIN_INT128 1 | 
|  | #else | 
|  | #define EIGEN_HAS_BUILTIN_INT128 0 | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | //------------------------------------------------------------------------------------------ | 
|  | // Preprocessor programming helpers | 
|  | //------------------------------------------------------------------------------------------ | 
|  |  | 
|  | // This macro can be used to prevent from macro expansion, e.g.: | 
|  | //   std::max EIGEN_NOT_A_MACRO(a,b) | 
|  | #define EIGEN_NOT_A_MACRO | 
|  |  | 
|  | #define EIGEN_DEBUG_VAR(x) std::cerr << #x << " = " << x << std::endl; | 
|  |  | 
|  | // concatenate two tokens | 
|  | #define EIGEN_CAT2(a, b) a##b | 
|  | #define EIGEN_CAT(a, b) EIGEN_CAT2(a, b) | 
|  |  | 
|  | #define EIGEN_COMMA , | 
|  |  | 
|  | // convert a token to a string | 
|  | #define EIGEN_MAKESTRING2(a) #a | 
|  | #define EIGEN_MAKESTRING(a) EIGEN_MAKESTRING2(a) | 
|  |  | 
|  | // EIGEN_STRONG_INLINE is a stronger version of the inline, using __forceinline on MSVC, | 
|  | // but it still doesn't use GCC's always_inline. This is useful in (common) situations where MSVC needs forceinline | 
|  | // but GCC is still doing fine with just inline. | 
|  | #ifndef EIGEN_STRONG_INLINE | 
|  | #if (EIGEN_COMP_MSVC || EIGEN_COMP_ICC) && !defined(EIGEN_GPUCC) | 
|  | #define EIGEN_STRONG_INLINE __forceinline | 
|  | #else | 
|  | #define EIGEN_STRONG_INLINE inline | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | // EIGEN_ALWAYS_INLINE is the strongest, it has the effect of making the function inline and adding every possible | 
|  | // attribute to maximize inlining. This should only be used when really necessary: in particular, | 
|  | // it uses __attribute__((always_inline)) on GCC, which most of the time is useless and can severely harm compile times. | 
|  | // FIXME with the always_inline attribute, | 
|  | #if EIGEN_COMP_GNUC && !defined(SYCL_DEVICE_ONLY) | 
|  | #define EIGEN_ALWAYS_INLINE __attribute__((always_inline)) inline | 
|  | #else | 
|  | #define EIGEN_ALWAYS_INLINE EIGEN_STRONG_INLINE | 
|  | #endif | 
|  |  | 
|  | #if EIGEN_COMP_GNUC | 
|  | #define EIGEN_DONT_INLINE __attribute__((noinline)) | 
|  | #elif EIGEN_COMP_MSVC | 
|  | #define EIGEN_DONT_INLINE __declspec(noinline) | 
|  | #else | 
|  | #define EIGEN_DONT_INLINE | 
|  | #endif | 
|  |  | 
|  | #if EIGEN_COMP_GNUC | 
|  | #define EIGEN_PERMISSIVE_EXPR __extension__ | 
|  | #else | 
|  | #define EIGEN_PERMISSIVE_EXPR | 
|  | #endif | 
|  |  | 
|  | // GPU stuff | 
|  |  | 
|  | // Disable some features when compiling with GPU compilers (SYCL/HIPCC) | 
|  | #if defined(SYCL_DEVICE_ONLY) || defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | // Do not try asserts on device code | 
|  | #ifndef EIGEN_NO_DEBUG | 
|  | #define EIGEN_NO_DEBUG | 
|  | #endif | 
|  |  | 
|  | #ifdef EIGEN_INTERNAL_DEBUGGING | 
|  | #undef EIGEN_INTERNAL_DEBUGGING | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | // No exceptions on device. | 
|  | #if defined(SYCL_DEVICE_ONLY) || defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | #ifdef EIGEN_EXCEPTIONS | 
|  | #undef EIGEN_EXCEPTIONS | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #if defined(SYCL_DEVICE_ONLY) | 
|  | #ifndef EIGEN_DONT_VECTORIZE | 
|  | #define EIGEN_DONT_VECTORIZE | 
|  | #endif | 
|  | #define EIGEN_DEVICE_FUNC __attribute__((flatten)) __attribute__((always_inline)) | 
|  | // All functions callable from CUDA/HIP code must be qualified with __device__ | 
|  | #elif defined(EIGEN_GPUCC) | 
|  | #define EIGEN_DEVICE_FUNC __host__ __device__ | 
|  | #else | 
|  | #define EIGEN_DEVICE_FUNC | 
|  | #endif | 
|  |  | 
|  | // this macro allows to get rid of linking errors about multiply defined functions. | 
|  | //  - static is not very good because it prevents definitions from different object files to be merged. | 
|  | //           So static causes the resulting linked executable to be bloated with multiple copies of the same function. | 
|  | //  - inline is not perfect either as it unwantedly hints the compiler toward inlining the function. | 
|  | #define EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_DEVICE_FUNC | 
|  | #define EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_DEVICE_FUNC inline | 
|  |  | 
|  | #ifdef NDEBUG | 
|  | #ifndef EIGEN_NO_DEBUG | 
|  | #define EIGEN_NO_DEBUG | 
|  | #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) ((void)0) | 
|  | #endif | 
|  |  | 
|  | #if defined(EIGEN_NO_DEBUG) || (defined(EIGEN_GPU_COMPILE_PHASE) && defined(EIGEN_NO_DEBUG_GPU)) | 
|  | #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 | 
|  |  | 
|  | #if EIGEN_COMP_GNUC | 
|  | #define EIGEN_PRAGMA(tokens) _Pragma(#tokens) | 
|  | #define EIGEN_DIAGNOSTICS(tokens) EIGEN_PRAGMA(GCC diagnostic tokens) | 
|  | #define EIGEN_DIAGNOSTICS_OFF(msc, gcc) EIGEN_DIAGNOSTICS(gcc) | 
|  | #elif EIGEN_COMP_MSVC | 
|  | #define EIGEN_PRAGMA(tokens) __pragma(tokens) | 
|  | #define EIGEN_DIAGNOSTICS(tokens) EIGEN_PRAGMA(warning(tokens)) | 
|  | #define EIGEN_DIAGNOSTICS_OFF(msc, gcc) EIGEN_DIAGNOSTICS(msc) | 
|  | #else | 
|  | #define EIGEN_PRAGMA(tokens) | 
|  | #define EIGEN_DIAGNOSTICS(tokens) | 
|  | #define EIGEN_DIAGNOSTICS_OFF(msc, gcc) | 
|  | #endif | 
|  |  | 
|  | #define EIGEN_DISABLE_DEPRECATED_WARNING EIGEN_DIAGNOSTICS_OFF(disable : 4996, ignored "-Wdeprecated-declarations") | 
|  |  | 
|  | // Suppresses 'unused variable' warnings. | 
|  | namespace Eigen { | 
|  | namespace internal { | 
|  | template <typename T> | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE constexpr void ignore_unused_variable(const T&) {} | 
|  | }  // namespace internal | 
|  | }  // namespace Eigen | 
|  | #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 | 
|  |  | 
|  | // Acts as a barrier preventing operations involving `X` from crossing. This | 
|  | // occurs, for example, in the fast rounding trick where a magic constant is | 
|  | // added then subtracted, which is otherwise compiled away with -ffast-math. | 
|  | // | 
|  | // See bug 1674 | 
|  | #if defined(EIGEN_GPU_COMPILE_PHASE) | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) | 
|  | #endif | 
|  |  | 
|  | #if !defined(EIGEN_OPTIMIZATION_BARRIER) | 
|  | #if EIGEN_COMP_GNUC | 
|  | // According to https://gcc.gnu.org/onlinedocs/gcc/Constraints.html: | 
|  | //   X: Any operand whatsoever. | 
|  | //   r: A register operand is allowed provided that it is in a general | 
|  | //      register. | 
|  | //   g: Any register, memory or immediate integer operand is allowed, except | 
|  | //      for registers that are not general registers. | 
|  | //   w: (AArch32/AArch64) Floating point register, Advanced SIMD vector | 
|  | //      register or SVE vector register. | 
|  | //   x: (SSE) Any SSE register. | 
|  | //      (AArch64) Like w, but restricted to registers 0 to 15 inclusive. | 
|  | //   v: (PowerPC) An Altivec vector register. | 
|  | //   wa:(PowerPC) A VSX register. | 
|  | // | 
|  | // "X" (uppercase) should work for all cases, though this seems to fail for | 
|  | // some versions of GCC for arm/aarch64 with | 
|  | //   "error: inconsistent operand constraints in an 'asm'" | 
|  | // Clang x86_64/arm/aarch64 seems to require "g" to support both scalars and | 
|  | // vectors, otherwise | 
|  | //   "error: non-trivial scalar-to-vector conversion, possible invalid | 
|  | //    constraint for vector type" | 
|  | // | 
|  | // GCC for ppc64le generates an internal compiler error with x/X/g. | 
|  | // GCC for AVX generates an internal compiler error with X. | 
|  | // | 
|  | // Tested on icc/gcc/clang for sse, avx, avx2, avx512dq | 
|  | //           gcc for arm, aarch64, | 
|  | //           gcc for ppc64le, | 
|  | // both vectors and scalars. | 
|  | // | 
|  | // Note that this is restricted to plain types - this will not work | 
|  | // directly for std::complex<T>, Eigen::half, Eigen::bfloat16. For these, | 
|  | // you will need to apply to the underlying POD type. | 
|  | #if EIGEN_ARCH_PPC && EIGEN_COMP_GNUC_STRICT | 
|  | // This seems to be broken on clang. Packet4f is loaded into a single | 
|  | //   register rather than a vector, zeroing out some entries. Integer | 
|  | //   types also generate a compile error. | 
|  | #if EIGEN_OS_MAC | 
|  | // General, Altivec for Apple (VSX were added in ISA v2.06): | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__("" : "+r,v"(X)); | 
|  | #else | 
|  | // General, Altivec, VSX otherwise: | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__("" : "+r,v,wa"(X)); | 
|  | #endif | 
|  | #elif EIGEN_ARCH_ARM_OR_ARM64 | 
|  | #ifdef __ARM_FP | 
|  | // General, VFP or NEON. | 
|  | // Clang doesn't like "r", | 
|  | //    error: non-trivial scalar-to-vector conversion, possible invalid | 
|  | //           constraint for vector typ | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__("" : "+g,w"(X)); | 
|  | #else | 
|  | // Arm without VFP or NEON. | 
|  | // "w" constraint will not compile. | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__("" : "+g"(X)); | 
|  | #endif | 
|  | #elif EIGEN_ARCH_i386_OR_x86_64 | 
|  | // General, SSE. | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) __asm__("" : "+g,x"(X)); | 
|  | #else | 
|  | // Not implemented for other architectures. | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) | 
|  | #endif | 
|  | #else | 
|  | // Not implemented for other compilers. | 
|  | #define EIGEN_OPTIMIZATION_BARRIER(X) | 
|  | #endif | 
|  | #endif | 
|  |  | 
|  | #if EIGEN_COMP_MSVC | 
|  | // NOTE MSVC often gives C4127 warnings with compiletime if statements. See bug 1362. | 
|  | // This workaround is ugly, but it does the job. | 
|  | #define EIGEN_CONST_CONDITIONAL(cond) (void)0, cond | 
|  | #else | 
|  | #define EIGEN_CONST_CONDITIONAL(cond) cond | 
|  | #endif | 
|  |  | 
|  | #ifdef EIGEN_DONT_USE_RESTRICT_KEYWORD | 
|  | #define EIGEN_RESTRICT | 
|  | #endif | 
|  | #ifndef EIGEN_RESTRICT | 
|  | #define EIGEN_RESTRICT __restrict | 
|  | #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 | 
|  |  | 
|  | // When compiling CUDA/HIP device code with NVCC or HIPCC | 
|  | // pull in math functions from the global namespace. | 
|  | // In host mode, and when device code is compiled with clang, | 
|  | // use the std versions. | 
|  | #if (defined(EIGEN_CUDA_ARCH) && defined(__NVCC__)) || defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | #define EIGEN_USING_STD(FUNC) using ::FUNC; | 
|  | #else | 
|  | #define EIGEN_USING_STD(FUNC) using std::FUNC; | 
|  | #endif | 
|  |  | 
|  | #if 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 explicitly define the default copy constructor. | 
|  | * This is necessary, because the implicit definition is deprecated if the copy-assignment is overridden. | 
|  | */ | 
|  | #define EIGEN_DEFAULT_COPY_CONSTRUCTOR(CLASS) EIGEN_DEVICE_FUNC CLASS(const CLASS&) = default; | 
|  |  | 
|  | /** \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. With C++11 or later this also default-implements the copy-constructor | 
|  | */ | 
|  | #define EIGEN_INHERIT_ASSIGNMENT_OPERATORS(Derived) \ | 
|  | EIGEN_INHERIT_ASSIGNMENT_EQUAL_OPERATOR(Derived)  \ | 
|  | EIGEN_DEFAULT_COPY_CONSTRUCTOR(Derived) | 
|  |  | 
|  | /** \internal | 
|  | * \brief Macro to manually define default constructors and destructors. | 
|  | * This is necessary when the copy constructor is re-defined. | 
|  | * For empty helper classes this should usually be protected, to avoid accidentally creating empty objects. | 
|  | * | 
|  | * Hiding the default destructor lead to problems in C++03 mode together with boost::multiprecision | 
|  | */ | 
|  | #define EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(Derived) \ | 
|  | EIGEN_DEVICE_FUNC Derived() = default;                        \ | 
|  | EIGEN_DEVICE_FUNC ~Derived() = default; | 
|  |  | 
|  | /** | 
|  | * 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 CompileTimeTraits {                                                                                             \ | 
|  | 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; | 
|  |  | 
|  | #if EIGEN_HAS_BUILTIN(__builtin_expect) || EIGEN_COMP_GNUC | 
|  | #define EIGEN_PREDICT_FALSE(x) (__builtin_expect(x, false)) | 
|  | #define EIGEN_PREDICT_TRUE(x) (__builtin_expect(false || (x), true)) | 
|  | #else | 
|  | #define EIGEN_PREDICT_FALSE(x) (x) | 
|  | #define EIGEN_PREDICT_TRUE(x) (x) | 
|  | #endif | 
|  |  | 
|  | // the expression type of a standard coefficient wise binary operation | 
|  | #define EIGEN_CWISE_BINARY_RETURN_TYPE(LHS, RHS, OPNAME)                                                       \ | 
|  | CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_, OPNAME), _op) < typename internal::traits<LHS>::Scalar, \ | 
|  | typename internal::traits<RHS>::Scalar>,                                                       \ | 
|  | const LHS, const RHS > | 
|  |  | 
|  | #define EIGEN_MAKE_CWISE_BINARY_OP(METHOD, OPNAME)                                                                \ | 
|  | template <typename OtherDerived>                                                                                \ | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_CWISE_BINARY_RETURN_TYPE(                                     \ | 
|  | Derived, OtherDerived, OPNAME)(METHOD)(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived>& other) const { \ | 
|  | return EIGEN_CWISE_BINARY_RETURN_TYPE(Derived, OtherDerived, OPNAME)(derived(), other.derived());             \ | 
|  | } | 
|  |  | 
|  | #define EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME, TYPEA, TYPEB)     \ | 
|  | (Eigen::internal::has_ReturnType<Eigen::ScalarBinaryOpTraits< \ | 
|  | TYPEA, TYPEB, EIGEN_CAT(EIGEN_CAT(Eigen::internal::scalar_, OPNAME), _op) < TYPEA, TYPEB> > > ::value) | 
|  |  | 
|  | #define EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(EXPR, SCALAR, OPNAME)                                            \ | 
|  | CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_, OPNAME), _op) < typename internal::traits<EXPR>::Scalar, \ | 
|  | SCALAR>,                                                                                        \ | 
|  | const EXPR, const typename internal::plain_constant_type<EXPR, SCALAR>::type > | 
|  |  | 
|  | #define EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(SCALAR, EXPR, OPNAME)           \ | 
|  | CwiseBinaryOp<EIGEN_CAT(EIGEN_CAT(internal::scalar_, OPNAME), _op) < SCALAR, \ | 
|  | typename internal::traits<EXPR>::Scalar>,                      \ | 
|  | const typename internal::plain_constant_type<EXPR, SCALAR>::type, const EXPR > | 
|  |  | 
|  | #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD, OPNAME)                                                       \ | 
|  | template <typename T>                                                                                              \ | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(                                \ | 
|  | Derived,                                                                                                       \ | 
|  | typename internal::promote_scalar_arg<Scalar EIGEN_COMMA T EIGEN_COMMA EIGEN_SCALAR_BINARY_SUPPORTED(          \ | 
|  | OPNAME, Scalar, T)>::type,                                                                                 \ | 
|  | OPNAME)(METHOD)(const T& scalar) const {                                                                       \ | 
|  | typedef typename internal::promote_scalar_arg<Scalar, T, EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME, Scalar, T)>::type \ | 
|  | PromotedT;                                                                                                   \ | 
|  | return EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(Derived, PromotedT, OPNAME)(                                       \ | 
|  | derived(), typename internal::plain_constant_type<Derived, PromotedT>::type(                                 \ | 
|  | derived().rows(), derived().cols(), internal::scalar_constant_op<PromotedT>(scalar)));        \ | 
|  | } | 
|  |  | 
|  | #define EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD, OPNAME)                                                        \ | 
|  | template <typename T>                                                                                              \ | 
|  | EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE friend const EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(                         \ | 
|  | typename internal::promote_scalar_arg<Scalar EIGEN_COMMA T EIGEN_COMMA EIGEN_SCALAR_BINARY_SUPPORTED(          \ | 
|  | OPNAME, T, Scalar)>::type,                                                                                 \ | 
|  | Derived, OPNAME)(METHOD)(const T& scalar, const StorageBaseType& matrix) {                                     \ | 
|  | typedef typename internal::promote_scalar_arg<Scalar, T, EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME, T, Scalar)>::type \ | 
|  | PromotedT;                                                                                                   \ | 
|  | return EIGEN_SCALAR_BINARYOP_EXPR_RETURN_TYPE(PromotedT, Derived, OPNAME)(                                       \ | 
|  | typename internal::plain_constant_type<Derived, PromotedT>::type(                                            \ | 
|  | matrix.derived().rows(), matrix.derived().cols(), internal::scalar_constant_op<PromotedT>(scalar)),      \ | 
|  | matrix.derived());                                                                                           \ | 
|  | } | 
|  |  | 
|  | #define EIGEN_MAKE_SCALAR_BINARY_OP(METHOD, OPNAME)     \ | 
|  | EIGEN_MAKE_SCALAR_BINARY_OP_ONTHELEFT(METHOD, OPNAME) \ | 
|  | EIGEN_MAKE_SCALAR_BINARY_OP_ONTHERIGHT(METHOD, OPNAME) | 
|  |  | 
|  | #if (defined(_CPPUNWIND) || defined(__EXCEPTIONS)) && !defined(EIGEN_CUDA_ARCH) && !defined(EIGEN_EXCEPTIONS) && \ | 
|  | !defined(EIGEN_USE_SYCL) && !defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | #define EIGEN_EXCEPTIONS | 
|  | #endif | 
|  |  | 
|  | #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 | 
|  | #if defined(EIGEN_CUDA_ARCH) | 
|  | #define EIGEN_THROW_X(X) asm("trap;") | 
|  | #define EIGEN_THROW asm("trap;") | 
|  | #elif defined(EIGEN_HIP_DEVICE_COMPILE) | 
|  | #define EIGEN_THROW_X(X) asm("s_trap 0") | 
|  | #define EIGEN_THROW asm("s_trap 0") | 
|  | #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 | 
|  |  | 
|  | // The all function is used to enable a variadic version of eigen_assert which can take a parameter pack as its input. | 
|  | namespace Eigen { | 
|  | namespace internal { | 
|  |  | 
|  | EIGEN_DEVICE_FUNC inline bool all() { return true; } | 
|  |  | 
|  | template <typename T, typename... Ts> | 
|  | EIGEN_DEVICE_FUNC bool all(T t, Ts... ts) { | 
|  | return t && all(ts...); | 
|  | } | 
|  |  | 
|  | }  // namespace internal | 
|  | }  // namespace Eigen | 
|  |  | 
|  | // provide override and final specifiers if they are available: | 
|  | #define EIGEN_OVERRIDE override | 
|  | #define EIGEN_FINAL final | 
|  |  | 
|  | // Wrapping #pragma unroll in a macro since it is required for SYCL | 
|  | #if defined(SYCL_DEVICE_ONLY) | 
|  | #if defined(_MSC_VER) | 
|  | #define EIGEN_UNROLL_LOOP __pragma(unroll) | 
|  | #else | 
|  | #define EIGEN_UNROLL_LOOP _Pragma("unroll") | 
|  | #endif | 
|  | #else | 
|  | #define EIGEN_UNROLL_LOOP | 
|  | #endif | 
|  |  | 
|  | // Notice: Use this macro with caution. The code in the if body should still | 
|  | // compile with C++14. | 
|  | #if defined(EIGEN_HAS_CXX17_IFCONSTEXPR) | 
|  | #define EIGEN_IF_CONSTEXPR(X) if constexpr (X) | 
|  | #else | 
|  | #define EIGEN_IF_CONSTEXPR(X) if (X) | 
|  | #endif | 
|  |  | 
|  | #endif  // EIGEN_MACROS_H |