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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2008-2009 Benoit Jacob <jacob.benoit.1@gmail.com>
+// Copyright (C) 2009 Kenneth Riddile <kfriddile@yahoo.com>
+// Copyright (C) 2010 Hauke Heibel <hauke.heibel@gmail.com>
+// Copyright (C) 2010 Thomas Capricelli <orzel@freehackers.org>
+// Copyright (C) 2013 Pavel Holoborodko <pavel@holoborodko.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/.
+
+
+/*****************************************************************************
+*** Platform checks for aligned malloc functions ***
+*****************************************************************************/
+
+#ifndef EIGEN_MEMORY_H
+#define EIGEN_MEMORY_H
+
+// See bug 554 (http://eigen.tuxfamily.org/bz/show_bug.cgi?id=554)
+// It seems to be unsafe to check _POSIX_ADVISORY_INFO without including unistd.h first.
+// Currently, let's include it only on unix systems:
+#if defined(__unix__) || defined(__unix)
+ #include <unistd.h>
+ #if ((defined __QNXNTO__) || (defined _GNU_SOURCE) || ((defined _XOPEN_SOURCE) && (_XOPEN_SOURCE >= 600))) && (defined _POSIX_ADVISORY_INFO) && (_POSIX_ADVISORY_INFO > 0)
+ #define EIGEN_HAS_POSIX_MEMALIGN 1
+ #endif
+#endif
+
+#ifndef EIGEN_HAS_POSIX_MEMALIGN
+ #define EIGEN_HAS_POSIX_MEMALIGN 0
+#endif
+
+#if defined EIGEN_VECTORIZE_SSE || defined EIGEN_VECTORIZE_AVX
+ #define EIGEN_HAS_MM_MALLOC 1
+#else
+ #define EIGEN_HAS_MM_MALLOC 0
+#endif
+
+namespace Eigen {
+
+namespace internal {
+
+EIGEN_DEVICE_FUNC inline void throw_std_bad_alloc()
+{
+#ifndef __CUDA_ARCH__
+ #ifdef EIGEN_EXCEPTIONS
+ throw std::bad_alloc();
+ #else
+ std::size_t huge = static_cast<std::size_t>(-1);
+ new int[huge];
+ #endif
+#endif
+}
+
+/*****************************************************************************
+*** Implementation of handmade aligned functions ***
+*****************************************************************************/
+
+/* ----- Hand made implementations of aligned malloc/free and realloc ----- */
+
+/** \internal Like malloc, but the returned pointer is guaranteed to be 16-byte aligned.
+ * Fast, but wastes 16 additional bytes of memory. Does not throw any exception.
+ */
+inline void* handmade_aligned_malloc(std::size_t size)
+{
+ void *original = std::malloc(size+EIGEN_ALIGN_BYTES);
+ if (original == 0) return 0;
+ void *aligned = reinterpret_cast<void*>((reinterpret_cast<std::size_t>(original) & ~(std::size_t(EIGEN_ALIGN_BYTES-1))) + EIGEN_ALIGN_BYTES);
+ *(reinterpret_cast<void**>(aligned) - 1) = original;
+ return aligned;
+}
+
+/** \internal Frees memory allocated with handmade_aligned_malloc */
+inline void handmade_aligned_free(void *ptr)
+{
+ if (ptr) std::free(*(reinterpret_cast<void**>(ptr) - 1));
+}
+
+/** \internal
+ * \brief Reallocates aligned memory.
+ * Since we know that our handmade version is based on std::realloc
+ * we can use std::realloc to implement efficient reallocation.
+ */
+inline void* handmade_aligned_realloc(void* ptr, std::size_t size, std::size_t = 0)
+{
+ if (ptr == 0) return handmade_aligned_malloc(size);
+ void *original = *(reinterpret_cast<void**>(ptr) - 1);
+ std::ptrdiff_t previous_offset = static_cast<char *>(ptr)-static_cast<char *>(original);
+ original = std::realloc(original,size+EIGEN_ALIGN_BYTES);
+ if (original == 0) return 0;
+ void *aligned = reinterpret_cast<void*>((reinterpret_cast<std::size_t>(original) & ~(std::size_t(EIGEN_ALIGN_BYTES-1))) + EIGEN_ALIGN_BYTES);
+ void *previous_aligned = static_cast<char *>(original)+previous_offset;
+ if(aligned!=previous_aligned)
+ std::memmove(aligned, previous_aligned, size);
+
+ *(reinterpret_cast<void**>(aligned) - 1) = original;
+ return aligned;
+}
+
+/*****************************************************************************
+*** Implementation of generic aligned realloc (when no realloc can be used)***
+*****************************************************************************/
+
+EIGEN_DEVICE_FUNC void* aligned_malloc(std::size_t size);
+EIGEN_DEVICE_FUNC void aligned_free(void *ptr);
+
+/** \internal
+ * \brief Reallocates aligned memory.
+ * Allows reallocation with aligned ptr types. This implementation will
+ * always create a new memory chunk and copy the old data.
+ */
+inline void* generic_aligned_realloc(void* ptr, size_t size, size_t old_size)
+{
+ if (ptr==0)
+ return aligned_malloc(size);
+
+ if (size==0)
+ {
+ aligned_free(ptr);
+ return 0;
+ }
+
+ void* newptr = aligned_malloc(size);
+ if (newptr == 0)
+ {
+ #ifdef EIGEN_HAS_ERRNO
+ errno = ENOMEM; // according to the standard
+ #endif
+ return 0;
+ }
+
+ if (ptr != 0)
+ {
+ std::memcpy(newptr, ptr, (std::min)(size,old_size));
+ aligned_free(ptr);
+ }
+
+ return newptr;
+}
+
+/*****************************************************************************
+*** Implementation of portable aligned versions of malloc/free/realloc ***
+*****************************************************************************/
+
+#ifdef EIGEN_NO_MALLOC
+EIGEN_DEVICE_FUNC inline void check_that_malloc_is_allowed()
+{
+ eigen_assert(false && "heap allocation is forbidden (EIGEN_NO_MALLOC is defined)");
+}
+#elif defined EIGEN_RUNTIME_NO_MALLOC
+EIGEN_DEVICE_FUNC inline bool is_malloc_allowed_impl(bool update, bool new_value = false)
+{
+ static bool value = true;
+ if (update == 1)
+ value = new_value;
+ return value;
+}
+EIGEN_DEVICE_FUNC inline bool is_malloc_allowed() { return is_malloc_allowed_impl(false); }
+EIGEN_DEVICE_FUNC inline bool set_is_malloc_allowed(bool new_value) { return is_malloc_allowed_impl(true, new_value); }
+EIGEN_DEVICE_FUNC inline void check_that_malloc_is_allowed()
+{
+ eigen_assert(is_malloc_allowed() && "heap allocation is forbidden (EIGEN_RUNTIME_NO_MALLOC is defined and g_is_malloc_allowed is false)");
+}
+#else
+EIGEN_DEVICE_FUNC inline void check_that_malloc_is_allowed()
+{}
+#endif
+
+/** \internal Allocates \a size bytes. The returned pointer is guaranteed to have 16 or 32 bytes alignment depending on the requirements.
+ * On allocation error, the returned pointer is null, and std::bad_alloc is thrown.
+ */
+EIGEN_DEVICE_FUNC
+inline void* aligned_malloc(size_t size)
+{
+ check_that_malloc_is_allowed();
+
+ void *result;
+ #if !EIGEN_ALIGN
+ result = std::malloc(size);
+ #elif EIGEN_HAS_POSIX_MEMALIGN
+ if(posix_memalign(&result, EIGEN_ALIGN_BYTES, size)) result = 0;
+ #elif EIGEN_HAS_MM_MALLOC
+ result = _mm_malloc(size, EIGEN_ALIGN_BYTES);
+ #elif defined(_MSC_VER) && (!defined(_WIN32_WCE))
+ result = _aligned_malloc(size, EIGEN_ALIGN_BYTES);
+ #else
+ result = handmade_aligned_malloc(size);
+ #endif
+
+ if(!result && size)
+ throw_std_bad_alloc();
+
+ return result;
+}
+
+/** \internal Frees memory allocated with aligned_malloc. */
+EIGEN_DEVICE_FUNC
+inline void aligned_free(void *ptr)
+{
+ #if !EIGEN_ALIGN
+ std::free(ptr);
+ #elif EIGEN_HAS_POSIX_MEMALIGN
+ std::free(ptr);
+ #elif EIGEN_HAS_MM_MALLOC
+ _mm_free(ptr);
+ #elif defined(_MSC_VER) && (!defined(_WIN32_WCE))
+ _aligned_free(ptr);
+ #else
+ handmade_aligned_free(ptr);
+ #endif
+}
+
+/**
+* \internal
+* \brief Reallocates an aligned block of memory.
+* \throws std::bad_alloc on allocation failure
+**/
+inline void* aligned_realloc(void *ptr, size_t new_size, size_t old_size)
+{
+ EIGEN_UNUSED_VARIABLE(old_size);
+
+ void *result;
+#if !EIGEN_ALIGN
+ result = std::realloc(ptr,new_size);
+#elif EIGEN_HAS_POSIX_MEMALIGN
+ result = generic_aligned_realloc(ptr,new_size,old_size);
+#elif EIGEN_HAS_MM_MALLOC
+ // The defined(_mm_free) is just here to verify that this MSVC version
+ // implements _mm_malloc/_mm_free based on the corresponding _aligned_
+ // functions. This may not always be the case and we just try to be safe.
+ #if EIGEN_OS_WIN_STRICT && defined(_mm_free)
+ result = _aligned_realloc(ptr,new_size,EIGEN_ALIGN_BYTES);
+ #else
+ result = generic_aligned_realloc(ptr,new_size,old_size);
+ #endif
+#elif EIGEN_OS_WIN_STRICT
+ result = _aligned_realloc(ptr,new_size,EIGEN_ALIGN_BYTES);
+#else
+ result = handmade_aligned_realloc(ptr,new_size,old_size);
+#endif
+
+ if (!result && new_size)
+ throw_std_bad_alloc();
+
+ return result;
+}
+
+/*****************************************************************************
+*** Implementation of conditionally aligned functions ***
+*****************************************************************************/
+
+/** \internal Allocates \a size bytes. If Align is true, then the returned ptr is 16-byte-aligned.
+ * On allocation error, the returned pointer is null, and a std::bad_alloc is thrown.
+ */
+template<bool Align> EIGEN_DEVICE_FUNC inline void* conditional_aligned_malloc(size_t size)
+{
+ return aligned_malloc(size);
+}
+
+template<> EIGEN_DEVICE_FUNC inline void* conditional_aligned_malloc<false>(size_t size)
+{
+ check_that_malloc_is_allowed();
+
+ void *result = std::malloc(size);
+ if(!result && size)
+ throw_std_bad_alloc();
+ return result;
+}
+
+/** \internal Frees memory allocated with conditional_aligned_malloc */
+template<bool Align> EIGEN_DEVICE_FUNC inline void conditional_aligned_free(void *ptr)
+{
+ aligned_free(ptr);
+}
+
+template<> EIGEN_DEVICE_FUNC inline void conditional_aligned_free<false>(void *ptr)
+{
+ std::free(ptr);
+}
+
+template<bool Align> inline void* conditional_aligned_realloc(void* ptr, size_t new_size, size_t old_size)
+{
+ return aligned_realloc(ptr, new_size, old_size);
+}
+
+template<> inline void* conditional_aligned_realloc<false>(void* ptr, size_t new_size, size_t)
+{
+ return std::realloc(ptr, new_size);
+}
+
+/*****************************************************************************
+*** Construction/destruction of array elements ***
+*****************************************************************************/
+
+/** \internal Constructs the elements of an array.
+ * The \a size parameter tells on how many objects to call the constructor of T.
+ */
+template<typename T> EIGEN_DEVICE_FUNC inline T* construct_elements_of_array(T *ptr, size_t size)
+{
+ for (size_t i=0; i < size; ++i) ::new (ptr + i) T;
+ return ptr;
+}
+
+/** \internal Destructs the elements of an array.
+ * The \a size parameters tells on how many objects to call the destructor of T.
+ */
+template<typename T> EIGEN_DEVICE_FUNC inline void destruct_elements_of_array(T *ptr, size_t size)
+{
+ // always destruct an array starting from the end.
+ if(ptr)
+ while(size) ptr[--size].~T();
+}
+
+/*****************************************************************************
+*** Implementation of aligned new/delete-like functions ***
+*****************************************************************************/
+
+template<typename T>
+EIGEN_DEVICE_FUNC EIGEN_ALWAYS_INLINE void check_size_for_overflow(size_t size)
+{
+ if(size > size_t(-1) / sizeof(T))
+ throw_std_bad_alloc();
+}
+
+/** \internal Allocates \a size objects of type T. The returned pointer is guaranteed to have 16 bytes alignment.
+ * On allocation error, the returned pointer is undefined, but a std::bad_alloc is thrown.
+ * The default constructor of T is called.
+ */
+template<typename T> EIGEN_DEVICE_FUNC inline T* aligned_new(size_t size)
+{
+ check_size_for_overflow<T>(size);
+ T *result = reinterpret_cast<T*>(aligned_malloc(sizeof(T)*size));
+ return construct_elements_of_array(result, size);
+}
+
+template<typename T, bool Align> EIGEN_DEVICE_FUNC inline T* conditional_aligned_new(size_t size)
+{
+ check_size_for_overflow<T>(size);
+ T *result = reinterpret_cast<T*>(conditional_aligned_malloc<Align>(sizeof(T)*size));
+ return construct_elements_of_array(result, size);
+}
+
+template<typename T> EIGEN_DEVICE_FUNC inline T* allocate_uvm(size_t size)
+{
+#if defined(EIGEN_USE_GPU) && defined(__CUDA_ARCH__)
+ return (T*)malloc(size);
+#elif defined(EIGEN_USE_GPU) && defined(__NVCC__)
+ T* result = NULL;
+ if (cudaMallocManaged(&result, size) != cudaSuccess) {
+ throw_std_bad_alloc();
+ }
+ return result;
+#else
+ return reinterpret_cast<T*>(conditional_aligned_malloc<true>(sizeof(T)*size));
+#endif
+}
+
+template<typename T> EIGEN_DEVICE_FUNC void deallocate_uvm(T* ptr)
+{
+#if defined(EIGEN_USE_GPU) && defined(__CUDA_ARCH__)
+ free(ptr);
+#elif defined(EIGEN_USE_GPU) && defined(__NVCC__)
+ if (cudaFree(ptr) != cudaSuccess) {
+ throw_std_bad_alloc();
+ }
+#else
+ return conditional_aligned_free<true>(ptr);
+#endif
+}
+
+/** \internal Deletes objects constructed with aligned_new
+ * The \a size parameters tells on how many objects to call the destructor of T.
+ */
+template<typename T> EIGEN_DEVICE_FUNC inline void aligned_delete(T *ptr, size_t size)
+{
+ destruct_elements_of_array<T>(ptr, size);
+ aligned_free(ptr);
+}
+
+/** \internal Deletes objects constructed with conditional_aligned_new
+ * The \a size parameters tells on how many objects to call the destructor of T.
+ */
+template<typename T, bool Align> EIGEN_DEVICE_FUNC inline void conditional_aligned_delete(T *ptr, size_t size)
+{
+ destruct_elements_of_array<T>(ptr, size);
+ conditional_aligned_free<Align>(ptr);
+}
+
+template<typename T, bool Align> EIGEN_DEVICE_FUNC inline T* conditional_aligned_realloc_new(T* pts, size_t new_size, size_t old_size)
+{
+ check_size_for_overflow<T>(new_size);
+ check_size_for_overflow<T>(old_size);
+ if(new_size < old_size)
+ destruct_elements_of_array(pts+new_size, old_size-new_size);
+ T *result = reinterpret_cast<T*>(conditional_aligned_realloc<Align>(reinterpret_cast<void*>(pts), sizeof(T)*new_size, sizeof(T)*old_size));
+ if(new_size > old_size)
+ construct_elements_of_array(result+old_size, new_size-old_size);
+ return result;
+}
+
+
+template<typename T, bool Align> EIGEN_DEVICE_FUNC inline T* conditional_aligned_new_auto(size_t size)
+{
+ check_size_for_overflow<T>(size);
+ T *result = reinterpret_cast<T*>(conditional_aligned_malloc<Align>(sizeof(T)*size));
+ if(NumTraits<T>::RequireInitialization)
+ construct_elements_of_array(result, size);
+ return result;
+}
+
+template<typename T, bool Align, bool UseUVM> EIGEN_DEVICE_FUNC inline T* conditional_managed_new_auto(size_t size)
+{
+ check_size_for_overflow<T>(size);
+ T *result;
+ if (UseUVM) {
+ result = allocate_uvm<T>(size*sizeof(T));
+ }
+ else {
+ result = reinterpret_cast<T*>(conditional_aligned_malloc<Align>(sizeof(T)*size));
+ }
+ if(NumTraits<T>::RequireInitialization)
+ construct_elements_of_array(result, size);
+ return result;
+}
+
+template<typename T, bool Align, bool UseUVM> EIGEN_DEVICE_FUNC inline void conditional_managed_delete_auto(T* ptr, size_t size)
+{
+ if(NumTraits<T>::RequireInitialization)
+ destruct_elements_of_array<T>(ptr, size);
+ if (UseUVM) {
+ deallocate_uvm(ptr);
+ }
+ else {
+ conditional_aligned_free<Align>(ptr);
+ }
+}
+
+template<typename T, bool Align> inline T* conditional_aligned_realloc_new_auto(T* pts, size_t new_size, size_t old_size)
+{
+ check_size_for_overflow<T>(new_size);
+ check_size_for_overflow<T>(old_size);
+ if(NumTraits<T>::RequireInitialization && (new_size < old_size))
+ destruct_elements_of_array(pts+new_size, old_size-new_size);
+ T *result = reinterpret_cast<T*>(conditional_aligned_realloc<Align>(reinterpret_cast<void*>(pts), sizeof(T)*new_size, sizeof(T)*old_size));
+ if(NumTraits<T>::RequireInitialization && (new_size > old_size))
+ construct_elements_of_array(result+old_size, new_size-old_size);
+ return result;
+}
+
+template<typename T, bool Align> EIGEN_DEVICE_FUNC inline void conditional_aligned_delete_auto(T *ptr, size_t size)
+{
+ if(NumTraits<T>::RequireInitialization)
+ destruct_elements_of_array<T>(ptr, size);
+ conditional_aligned_free<Align>(ptr);
+}
+
+/****************************************************************************/
+
+/** \internal Returns the index of the first element of the array that is well aligned for vectorization.
+ *
+ * \param array the address of the start of the array
+ * \param size the size of the array
+ *
+ * \note If no element of the array is well aligned, the size of the array is returned. Typically,
+ * for example with SSE, "well aligned" means 16-byte-aligned. If vectorization is disabled or if the
+ * packet size for the given scalar type is 1, then everything is considered well-aligned.
+ *
+ * \note If the scalar type is vectorizable, we rely on the following assumptions: sizeof(Scalar) is a
+ * power of 2, the packet size in bytes is also a power of 2, and is a multiple of sizeof(Scalar). On the
+ * other hand, we do not assume that the array address is a multiple of sizeof(Scalar), as that fails for
+ * example with Scalar=double on certain 32-bit platforms, see bug #79.
+ *
+ * There is also the variant first_aligned(const MatrixBase&) defined in DenseCoeffsBase.h.
+ */
+template<typename Scalar, typename Index>
+inline Index first_aligned(const Scalar* array, Index size)
+{
+ enum { PacketSize = packet_traits<Scalar>::size,
+ PacketAlignedMask = PacketSize-1
+ };
+
+ if(PacketSize==1)
+ {
+ // Either there is no vectorization, or a packet consists of exactly 1 scalar so that all elements
+ // of the array have the same alignment.
+ return 0;
+ }
+ else if(size_t(array) & (sizeof(Scalar)-1))
+ {
+ // There is vectorization for this scalar type, but the array is not aligned to the size of a single scalar.
+ // Consequently, no element of the array is well aligned.
+ return size;
+ }
+ else
+ {
+ return std::min<Index>( (PacketSize - (Index((size_t(array)/sizeof(Scalar))) & PacketAlignedMask))
+ & PacketAlignedMask, size);
+ }
+}
+
+/** \internal Returns the smallest integer multiple of \a base and greater or equal to \a size
+ */
+template<typename Index>
+inline Index first_multiple(Index size, Index base)
+{
+ return ((size+base-1)/base)*base;
+}
+
+// std::copy is much slower than memcpy, so let's introduce a smart_copy which
+// use memcpy on trivial types, i.e., on types that does not require an initialization ctor.
+template<typename T, bool UseMemcpy> struct smart_copy_helper;
+
+template<typename T> EIGEN_DEVICE_FUNC void smart_copy(const T* start, const T* end, T* target)
+{
+ smart_copy_helper<T,!NumTraits<T>::RequireInitialization>::run(start, end, target);
+}
+
+template<typename T> struct smart_copy_helper<T,true> {
+ static inline EIGEN_DEVICE_FUNC void run(const T* start, const T* end, T* target)
+ { memcpy(target, start, std::ptrdiff_t(end)-std::ptrdiff_t(start)); }
+};
+
+template<typename T> struct smart_copy_helper<T,false> {
+ static inline EIGEN_DEVICE_FUNC void run(const T* start, const T* end, T* target)
+ { std::copy(start, end, target); }
+};
+
+// intelligent memmove. falls back to std::memmove for POD types, uses std::copy otherwise.
+template<typename T, bool UseMemmove> struct smart_memmove_helper;
+
+template<typename T> void smart_memmove(const T* start, const T* end, T* target)
+{
+ smart_memmove_helper<T,!NumTraits<T>::RequireInitialization>::run(start, end, target);
+}
+
+template<typename T> struct smart_memmove_helper<T,true> {
+ static inline void run(const T* start, const T* end, T* target)
+ { std::memmove(target, start, std::ptrdiff_t(end)-std::ptrdiff_t(start)); }
+};
+
+template<typename T> struct smart_memmove_helper<T,false> {
+ static inline void run(const T* start, const T* end, T* target)
+ {
+ if (uintptr_t(target) < uintptr_t(start))
+ {
+ std::copy(start, end, target);
+ }
+ else
+ {
+ std::ptrdiff_t count = (std::ptrdiff_t(end)-std::ptrdiff_t(start)) / sizeof(T);
+ std::copy_backward(start, end, target + count);
+ }
+ }
+};
+
+
+/*****************************************************************************
+*** Implementation of runtime stack allocation (falling back to malloc) ***
+*****************************************************************************/
+
+// you can overwrite Eigen's default behavior regarding alloca by defining EIGEN_ALLOCA
+// to the appropriate stack allocation function
+#ifndef EIGEN_ALLOCA
+ #if (defined __linux__) || (defined __APPLE__)
+ #define EIGEN_ALLOCA alloca
+ #elif defined(_MSC_VER)
+ #define EIGEN_ALLOCA _alloca
+ #endif
+#endif
+
+// This helper class construct the allocated memory, and takes care of destructing and freeing the handled data
+// at destruction time. In practice this helper class is mainly useful to avoid memory leak in case of exceptions.
+template<typename T> class aligned_stack_memory_handler
+{
+ public:
+ /* Creates a stack_memory_handler responsible for the buffer \a ptr of size \a size.
+ * Note that \a ptr can be 0 regardless of the other parameters.
+ * This constructor takes care of constructing/initializing the elements of the buffer if required by the scalar type T (see NumTraits<T>::RequireInitialization).
+ * In this case, the buffer elements will also be destructed when this handler will be destructed.
+ * Finally, if \a dealloc is true, then the pointer \a ptr is freed.
+ **/
+ aligned_stack_memory_handler(T* ptr, size_t size, bool dealloc)
+ : m_ptr(ptr), m_size(size), m_deallocate(dealloc)
+ {
+ if(NumTraits<T>::RequireInitialization && m_ptr)
+ Eigen::internal::construct_elements_of_array(m_ptr, size);
+ }
+ ~aligned_stack_memory_handler()
+ {
+ if(NumTraits<T>::RequireInitialization && m_ptr)
+ Eigen::internal::destruct_elements_of_array<T>(m_ptr, m_size);
+ if(m_deallocate)
+ Eigen::internal::aligned_free(m_ptr);
+ }
+ protected:
+ T* m_ptr;
+ size_t m_size;
+ bool m_deallocate;
+};
+
+} // end namespace internal
+
+/** \internal
+ * Declares, allocates and construct an aligned buffer named NAME of SIZE elements of type TYPE on the stack
+ * if SIZE is smaller than EIGEN_STACK_ALLOCATION_LIMIT, and if stack allocation is supported by the platform
+ * (currently, this is Linux and Visual Studio only). Otherwise the memory is allocated on the heap.
+ * The allocated buffer is automatically deleted when exiting the scope of this declaration.
+ * If BUFFER is non null, then the declared variable is simply an alias for BUFFER, and no allocation/deletion occurs.
+ * Here is an example:
+ * \code
+ * {
+ * ei_declare_aligned_stack_constructed_variable(float,data,size,0);
+ * // use data[0] to data[size-1]
+ * }
+ * \endcode
+ * The underlying stack allocation function can controlled with the EIGEN_ALLOCA preprocessor token.
+ */
+#ifdef EIGEN_ALLOCA
+ // The native alloca() that comes with llvm aligns buffer on 16 bytes even when AVX is enabled.
+#if defined(__arm__) || defined(_WIN32) || EIGEN_ALIGN_BYTES > 16
+ #define EIGEN_ALIGNED_ALLOCA(SIZE) reinterpret_cast<void*>((reinterpret_cast<size_t>(EIGEN_ALLOCA(SIZE+EIGEN_ALIGN_BYTES)) & ~(size_t(EIGEN_ALIGN_BYTES-1))) + EIGEN_ALIGN_BYTES)
+ #else
+ #define EIGEN_ALIGNED_ALLOCA EIGEN_ALLOCA
+ #endif
+
+ #define ei_declare_aligned_stack_constructed_variable(TYPE,NAME,SIZE,BUFFER) \
+ Eigen::internal::check_size_for_overflow<TYPE>(SIZE); \
+ TYPE* NAME = (BUFFER)!=0 ? (BUFFER) \
+ : reinterpret_cast<TYPE*>( \
+ (sizeof(TYPE)*SIZE<=EIGEN_STACK_ALLOCATION_LIMIT) ? EIGEN_ALIGNED_ALLOCA(sizeof(TYPE)*SIZE) \
+ : Eigen::internal::aligned_malloc(sizeof(TYPE)*SIZE) ); \
+ Eigen::internal::aligned_stack_memory_handler<TYPE> EIGEN_CAT(NAME,_stack_memory_destructor)((BUFFER)==0 ? NAME : 0,SIZE,sizeof(TYPE)*SIZE>EIGEN_STACK_ALLOCATION_LIMIT)
+
+#else
+
+ #define ei_declare_aligned_stack_constructed_variable(TYPE,NAME,SIZE,BUFFER) \
+ Eigen::internal::check_size_for_overflow<TYPE>(SIZE); \
+ TYPE* NAME = (BUFFER)!=0 ? BUFFER : reinterpret_cast<TYPE*>(Eigen::internal::aligned_malloc(sizeof(TYPE)*SIZE)); \
+ Eigen::internal::aligned_stack_memory_handler<TYPE> EIGEN_CAT(NAME,_stack_memory_destructor)((BUFFER)==0 ? NAME : 0,SIZE,true)
+
+#endif
+
+
+/*****************************************************************************
+*** Implementation of EIGEN_MAKE_ALIGNED_OPERATOR_NEW [_IF] ***
+*****************************************************************************/
+
+#if EIGEN_ALIGN
+ #ifdef EIGEN_EXCEPTIONS
+ #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_NOTHROW(NeedsToAlign) \
+ void* operator new(size_t size, const std::nothrow_t&) throw() { \
+ try { return Eigen::internal::conditional_aligned_malloc<NeedsToAlign>(size); } \
+ catch (...) { return 0; } \
+ return 0; \
+ }
+ #else
+ #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_NOTHROW(NeedsToAlign) \
+ void* operator new(size_t size, const std::nothrow_t&) throw() { \
+ return Eigen::internal::conditional_aligned_malloc<NeedsToAlign>(size); \
+ }
+ #endif
+
+ #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign) \
+ void *operator new(size_t size) { \
+ return Eigen::internal::conditional_aligned_malloc<NeedsToAlign>(size); \
+ } \
+ void *operator new[](size_t size) { \
+ return Eigen::internal::conditional_aligned_malloc<NeedsToAlign>(size); \
+ } \
+ void operator delete(void * ptr) throw() { Eigen::internal::conditional_aligned_free<NeedsToAlign>(ptr); } \
+ void operator delete[](void * ptr) throw() { Eigen::internal::conditional_aligned_free<NeedsToAlign>(ptr); } \
+ /* in-place new and delete. since (at least afaik) there is no actual */ \
+ /* memory allocated we can safely let the default implementation handle */ \
+ /* this particular case. */ \
+ static void *operator new(size_t size, void *ptr) { return ::operator new(size,ptr); } \
+ static void *operator new[](size_t size, void* ptr) { return ::operator new[](size,ptr); } \
+ void operator delete(void * memory, void *ptr) throw() { return ::operator delete(memory,ptr); } \
+ void operator delete[](void * memory, void *ptr) throw() { return ::operator delete[](memory,ptr); } \
+ /* nothrow-new (returns zero instead of std::bad_alloc) */ \
+ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_NOTHROW(NeedsToAlign) \
+ void operator delete(void *ptr, const std::nothrow_t&) throw() { \
+ Eigen::internal::conditional_aligned_free<NeedsToAlign>(ptr); \
+ } \
+ typedef void eigen_aligned_operator_new_marker_type;
+#else
+ #define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
+#endif
+
+#define EIGEN_MAKE_ALIGNED_OPERATOR_NEW EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(true)
+#define EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF_VECTORIZABLE_FIXED_SIZE(Scalar,Size) \
+ EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(bool(((Size)!=Eigen::Dynamic) && ((sizeof(Scalar)*(Size))%EIGEN_ALIGN_BYTES==0)))
+
+/****************************************************************************/
+
+/** \class aligned_allocator
+* \ingroup Core_Module
+*
+* \brief STL compatible allocator to use with with 16 byte aligned types
+*
+* Example:
+* \code
+* // Matrix4f requires 16 bytes alignment:
+* std::map< int, Matrix4f, std::less<int>,
+* aligned_allocator<std::pair<const int, Matrix4f> > > my_map_mat4;
+* // Vector3f does not require 16 bytes alignment, no need to use Eigen's allocator:
+* std::map< int, Vector3f > my_map_vec3;
+* \endcode
+*
+* \sa \ref TopicStlContainers.
+*/
+template<class T>
+class aligned_allocator : public std::allocator<T>
+{
+public:
+ typedef size_t size_type;
+ typedef std::ptrdiff_t difference_type;
+ typedef T* pointer;
+ typedef const T* const_pointer;
+ typedef T& reference;
+ typedef const T& const_reference;
+ typedef T value_type;
+
+ template<class U>
+ struct rebind
+ {
+ typedef aligned_allocator<U> other;
+ };
+
+ aligned_allocator() : std::allocator<T>() {}
+
+ aligned_allocator(const aligned_allocator& other) : std::allocator<T>(other) {}
+
+ template<class U>
+ aligned_allocator(const aligned_allocator<U>& other) : std::allocator<T>(other) {}
+
+ ~aligned_allocator() {}
+
+ pointer allocate(size_type num, const void* /*hint*/ = 0)
+ {
+ internal::check_size_for_overflow<T>(num);
+ return static_cast<pointer>( internal::aligned_malloc(num * sizeof(T)) );
+ }
+
+ void deallocate(pointer p, size_type /*num*/)
+ {
+ internal::aligned_free(p);
+ }
+};
+
+//---------- Cache sizes ----------
+
+#if !defined(EIGEN_NO_CPUID)
+# if EIGEN_COMP_GNUC && EIGEN_ARCH_i386_OR_x86_64
+# if defined(__PIC__) && EIGEN_ARCH_i386
+ // Case for x86 with PIC
+# define EIGEN_CPUID(abcd,func,id) \
+ __asm__ __volatile__ ("xchgl %%ebx, %k1;cpuid; xchgl %%ebx,%k1": "=a" (abcd[0]), "=&r" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "a" (func), "c" (id));
+# elif defined(__PIC__) && EIGEN_ARCH_x86_64
+ // Case for x64 with PIC. In theory this is only a problem with recent gcc and with medium or large code model, not with the default small code model.
+ // However, we cannot detect which code model is used, and the xchg overhead is negligible anyway.
+# define EIGEN_CPUID(abcd,func,id) \
+ __asm__ __volatile__ ("xchg{q}\t{%%}rbx, %q1; cpuid; xchg{q}\t{%%}rbx, %q1": "=a" (abcd[0]), "=&r" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "0" (func), "2" (id));
+# else
+ // Case for x86_64 or x86 w/o PIC
+# define EIGEN_CPUID(abcd,func,id) \
+ __asm__ __volatile__ ("cpuid": "=a" (abcd[0]), "=b" (abcd[1]), "=c" (abcd[2]), "=d" (abcd[3]) : "0" (func), "2" (id) );
+# endif
+# elif EIGEN_COMP_MSVC
+# if (EIGEN_COMP_MSVC > 1500) && EIGEN_ARCH_i386_OR_x86_64
+# define EIGEN_CPUID(abcd,func,id) __cpuidex((int*)abcd,func,id)
+# endif
+# endif
+#endif
+
+namespace internal {
+
+#ifdef EIGEN_CPUID
+
+inline bool cpuid_is_vendor(int abcd[4], const char* vendor)
+{
+ return abcd[1]==(reinterpret_cast<const int*>(vendor))[0] && abcd[3]==(reinterpret_cast<const int*>(vendor))[1] && abcd[2]==(reinterpret_cast<const int*>(vendor))[2];
+}
+
+inline void queryCacheSizes_intel_direct(int& l1, int& l2, int& l3)
+{
+ int abcd[4];
+ l1 = l2 = l3 = 0;
+ int cache_id = 0;
+ int cache_type = 0;
+ do {
+ abcd[0] = abcd[1] = abcd[2] = abcd[3] = 0;
+ EIGEN_CPUID(abcd,0x4,cache_id);
+ cache_type = (abcd[0] & 0x0F) >> 0;
+ if(cache_type==1||cache_type==3) // data or unified cache
+ {
+ int cache_level = (abcd[0] & 0xE0) >> 5; // A[7:5]
+ int ways = (abcd[1] & 0xFFC00000) >> 22; // B[31:22]
+ int partitions = (abcd[1] & 0x003FF000) >> 12; // B[21:12]
+ int line_size = (abcd[1] & 0x00000FFF) >> 0; // B[11:0]
+ int sets = (abcd[2]); // C[31:0]
+
+ int cache_size = (ways+1) * (partitions+1) * (line_size+1) * (sets+1);
+
+ switch(cache_level)
+ {
+ case 1: l1 = cache_size; break;
+ case 2: l2 = cache_size; break;
+ case 3: l3 = cache_size; break;
+ default: break;
+ }
+ }
+ cache_id++;
+ } while(cache_type>0 && cache_id<16);
+}
+
+inline void queryCacheSizes_intel_codes(int& l1, int& l2, int& l3)
+{
+ int abcd[4];
+ abcd[0] = abcd[1] = abcd[2] = abcd[3] = 0;
+ l1 = l2 = l3 = 0;
+ EIGEN_CPUID(abcd,0x00000002,0);
+ unsigned char * bytes = reinterpret_cast<unsigned char *>(abcd)+2;
+ bool check_for_p2_core2 = false;
+ for(int i=0; i<14; ++i)
+ {
+ switch(bytes[i])
+ {
+ case 0x0A: l1 = 8; break; // 0Ah data L1 cache, 8 KB, 2 ways, 32 byte lines
+ case 0x0C: l1 = 16; break; // 0Ch data L1 cache, 16 KB, 4 ways, 32 byte lines
+ case 0x0E: l1 = 24; break; // 0Eh data L1 cache, 24 KB, 6 ways, 64 byte lines
+ case 0x10: l1 = 16; break; // 10h data L1 cache, 16 KB, 4 ways, 32 byte lines (IA-64)
+ case 0x15: l1 = 16; break; // 15h code L1 cache, 16 KB, 4 ways, 32 byte lines (IA-64)
+ case 0x2C: l1 = 32; break; // 2Ch data L1 cache, 32 KB, 8 ways, 64 byte lines
+ case 0x30: l1 = 32; break; // 30h code L1 cache, 32 KB, 8 ways, 64 byte lines
+ case 0x60: l1 = 16; break; // 60h data L1 cache, 16 KB, 8 ways, 64 byte lines, sectored
+ case 0x66: l1 = 8; break; // 66h data L1 cache, 8 KB, 4 ways, 64 byte lines, sectored
+ case 0x67: l1 = 16; break; // 67h data L1 cache, 16 KB, 4 ways, 64 byte lines, sectored
+ case 0x68: l1 = 32; break; // 68h data L1 cache, 32 KB, 4 ways, 64 byte lines, sectored
+ case 0x1A: l2 = 96; break; // code and data L2 cache, 96 KB, 6 ways, 64 byte lines (IA-64)
+ case 0x22: l3 = 512; break; // code and data L3 cache, 512 KB, 4 ways (!), 64 byte lines, dual-sectored
+ case 0x23: l3 = 1024; break; // code and data L3 cache, 1024 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x25: l3 = 2048; break; // code and data L3 cache, 2048 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x29: l3 = 4096; break; // code and data L3 cache, 4096 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x39: l2 = 128; break; // code and data L2 cache, 128 KB, 4 ways, 64 byte lines, sectored
+ case 0x3A: l2 = 192; break; // code and data L2 cache, 192 KB, 6 ways, 64 byte lines, sectored
+ case 0x3B: l2 = 128; break; // code and data L2 cache, 128 KB, 2 ways, 64 byte lines, sectored
+ case 0x3C: l2 = 256; break; // code and data L2 cache, 256 KB, 4 ways, 64 byte lines, sectored
+ case 0x3D: l2 = 384; break; // code and data L2 cache, 384 KB, 6 ways, 64 byte lines, sectored
+ case 0x3E: l2 = 512; break; // code and data L2 cache, 512 KB, 4 ways, 64 byte lines, sectored
+ case 0x40: l2 = 0; break; // no integrated L2 cache (P6 core) or L3 cache (P4 core)
+ case 0x41: l2 = 128; break; // code and data L2 cache, 128 KB, 4 ways, 32 byte lines
+ case 0x42: l2 = 256; break; // code and data L2 cache, 256 KB, 4 ways, 32 byte lines
+ case 0x43: l2 = 512; break; // code and data L2 cache, 512 KB, 4 ways, 32 byte lines
+ case 0x44: l2 = 1024; break; // code and data L2 cache, 1024 KB, 4 ways, 32 byte lines
+ case 0x45: l2 = 2048; break; // code and data L2 cache, 2048 KB, 4 ways, 32 byte lines
+ case 0x46: l3 = 4096; break; // code and data L3 cache, 4096 KB, 4 ways, 64 byte lines
+ case 0x47: l3 = 8192; break; // code and data L3 cache, 8192 KB, 8 ways, 64 byte lines
+ case 0x48: l2 = 3072; break; // code and data L2 cache, 3072 KB, 12 ways, 64 byte lines
+ case 0x49: if(l2!=0) l3 = 4096; else {check_for_p2_core2=true; l3 = l2 = 4096;} break;// code and data L3 cache, 4096 KB, 16 ways, 64 byte lines (P4) or L2 for core2
+ case 0x4A: l3 = 6144; break; // code and data L3 cache, 6144 KB, 12 ways, 64 byte lines
+ case 0x4B: l3 = 8192; break; // code and data L3 cache, 8192 KB, 16 ways, 64 byte lines
+ case 0x4C: l3 = 12288; break; // code and data L3 cache, 12288 KB, 12 ways, 64 byte lines
+ case 0x4D: l3 = 16384; break; // code and data L3 cache, 16384 KB, 16 ways, 64 byte lines
+ case 0x4E: l2 = 6144; break; // code and data L2 cache, 6144 KB, 24 ways, 64 byte lines
+ case 0x78: l2 = 1024; break; // code and data L2 cache, 1024 KB, 4 ways, 64 byte lines
+ case 0x79: l2 = 128; break; // code and data L2 cache, 128 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x7A: l2 = 256; break; // code and data L2 cache, 256 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x7B: l2 = 512; break; // code and data L2 cache, 512 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x7C: l2 = 1024; break; // code and data L2 cache, 1024 KB, 8 ways, 64 byte lines, dual-sectored
+ case 0x7D: l2 = 2048; break; // code and data L2 cache, 2048 KB, 8 ways, 64 byte lines
+ case 0x7E: l2 = 256; break; // code and data L2 cache, 256 KB, 8 ways, 128 byte lines, sect. (IA-64)
+ case 0x7F: l2 = 512; break; // code and data L2 cache, 512 KB, 2 ways, 64 byte lines
+ case 0x80: l2 = 512; break; // code and data L2 cache, 512 KB, 8 ways, 64 byte lines
+ case 0x81: l2 = 128; break; // code and data L2 cache, 128 KB, 8 ways, 32 byte lines
+ case 0x82: l2 = 256; break; // code and data L2 cache, 256 KB, 8 ways, 32 byte lines
+ case 0x83: l2 = 512; break; // code and data L2 cache, 512 KB, 8 ways, 32 byte lines
+ case 0x84: l2 = 1024; break; // code and data L2 cache, 1024 KB, 8 ways, 32 byte lines
+ case 0x85: l2 = 2048; break; // code and data L2 cache, 2048 KB, 8 ways, 32 byte lines
+ case 0x86: l2 = 512; break; // code and data L2 cache, 512 KB, 4 ways, 64 byte lines
+ case 0x87: l2 = 1024; break; // code and data L2 cache, 1024 KB, 8 ways, 64 byte lines
+ case 0x88: l3 = 2048; break; // code and data L3 cache, 2048 KB, 4 ways, 64 byte lines (IA-64)
+ case 0x89: l3 = 4096; break; // code and data L3 cache, 4096 KB, 4 ways, 64 byte lines (IA-64)
+ case 0x8A: l3 = 8192; break; // code and data L3 cache, 8192 KB, 4 ways, 64 byte lines (IA-64)
+ case 0x8D: l3 = 3072; break; // code and data L3 cache, 3072 KB, 12 ways, 128 byte lines (IA-64)
+
+ default: break;
+ }
+ }
+ if(check_for_p2_core2 && l2 == l3)
+ l3 = 0;
+ l1 *= 1024;
+ l2 *= 1024;
+ l3 *= 1024;
+}
+
+inline void queryCacheSizes_intel(int& l1, int& l2, int& l3, int max_std_funcs)
+{
+ if(max_std_funcs>=4)
+ queryCacheSizes_intel_direct(l1,l2,l3);
+ else
+ queryCacheSizes_intel_codes(l1,l2,l3);
+}
+
+inline void queryCacheSizes_amd(int& l1, int& l2, int& l3)
+{
+ int abcd[4];
+ abcd[0] = abcd[1] = abcd[2] = abcd[3] = 0;
+ EIGEN_CPUID(abcd,0x80000005,0);
+ l1 = (abcd[2] >> 24) * 1024; // C[31:24] = L1 size in KB
+ abcd[0] = abcd[1] = abcd[2] = abcd[3] = 0;
+ EIGEN_CPUID(abcd,0x80000006,0);
+ l2 = (abcd[2] >> 16) * 1024; // C[31;16] = l2 cache size in KB
+ l3 = ((abcd[3] & 0xFFFC000) >> 18) * 512 * 1024; // D[31;18] = l3 cache size in 512KB
+}
+#endif
+
+/** \internal
+ * Queries and returns the cache sizes in Bytes of the L1, L2, and L3 data caches respectively */
+inline void queryCacheSizes(int& l1, int& l2, int& l3)
+{
+ #ifdef EIGEN_CPUID
+ int abcd[4];
+
+ // identify the CPU vendor
+ EIGEN_CPUID(abcd,0x0,0);
+ int max_std_funcs = abcd[1];
+ if(cpuid_is_vendor(abcd,"GenuineIntel"))
+ queryCacheSizes_intel(l1,l2,l3,max_std_funcs);
+ else if(cpuid_is_vendor(abcd,"AuthenticAMD") || cpuid_is_vendor(abcd,"AMDisbetter!"))
+ queryCacheSizes_amd(l1,l2,l3);
+ else
+ // by default let's use Intel's API
+ queryCacheSizes_intel(l1,l2,l3,max_std_funcs);
+
+ // here is the list of other vendors:
+// ||cpuid_is_vendor(abcd,"VIA VIA VIA ")
+// ||cpuid_is_vendor(abcd,"CyrixInstead")
+// ||cpuid_is_vendor(abcd,"CentaurHauls")
+// ||cpuid_is_vendor(abcd,"GenuineTMx86")
+// ||cpuid_is_vendor(abcd,"TransmetaCPU")
+// ||cpuid_is_vendor(abcd,"RiseRiseRise")
+// ||cpuid_is_vendor(abcd,"Geode by NSC")
+// ||cpuid_is_vendor(abcd,"SiS SiS SiS ")
+// ||cpuid_is_vendor(abcd,"UMC UMC UMC ")
+// ||cpuid_is_vendor(abcd,"NexGenDriven")
+ #else
+ l1 = l2 = l3 = -1;
+ #endif
+}
+
+/** \internal
+ * \returns the size in Bytes of the L1 data cache */
+inline int queryL1CacheSize()
+{
+ int l1(-1), l2, l3;
+ queryCacheSizes(l1,l2,l3);
+ return l1;
+}
+
+inline int queryL2CacheSize()
+{
+ int l1, l2(-1), l3;
+ queryCacheSizes(l1,l2,l3);
+ return l2;
+}
+
+/** \internal
+ * \returns the size in Bytes of the L2 or L3 cache if this later is present */
+inline int queryTopLevelCacheSize()
+{
+ int l1, l2(-1), l3(-1);
+ queryCacheSizes(l1,l2,l3);
+ return (std::max)(l2,l3);
+}
+
+} // end namespace internal
+
+} // end namespace Eigen
+
+#endif // EIGEN_MEMORY_H