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ap.h
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ap.h
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/*************************************************************************
ALGLIB 3.17.0 (source code generated 2020-12-27)
Copyright (c) Sergey Bochkanov (ALGLIB project).
>>> SOURCE LICENSE >>>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation (www.fsf.org); either version 2 of the
License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
A copy of the GNU General Public License is available at
http://www.fsf.org/licensing/licenses
>>> END OF LICENSE >>>
*************************************************************************/
#ifndef _ap_h
#define _ap_h
#include <stdio.h>
#include <stdlib.h>
#include <stddef.h>
#include <string>
#include <cstring>
#include <iostream>
#include <math.h>
#if defined(__CODEGEARC__)
#include <list>
#include <vector>
#elif defined(__BORLANDC__)
#include <list.h>
#include <vector.h>
#else
#include <list>
#include <vector>
#endif
#define AE_USE_CPP
/* Definitions */
#define AE_UNKNOWN 0
#define AE_INTEL 1
#define AE_SPARC 2
/* OS definitions */
#define AE_WINDOWS 1
#define AE_POSIX 2
#define AE_LINUX 304
#if !defined(AE_OS)
#define AE_OS AE_UNKNOWN
#endif
#if AE_OS==AE_LINUX
#undef AE_OS
#define AE_OS AE_POSIX
#define _ALGLIB_USE_LINUX_EXTENSIONS
#endif
/* threading models for AE_THREADING */
#define AE_PARALLEL 100
#define AE_SERIAL 101
#define AE_SERIAL_UNSAFE 102
#if !defined(AE_THREADING)
#define AE_THREADING AE_PARALLEL
#endif
/* malloc types for AE_MALLOC */
#define AE_STDLIB_MALLOC 200
#define AE_BASIC_STATIC_MALLOC 201
#if !defined(AE_MALLOC)
#define AE_MALLOC AE_STDLIB_MALLOC
#endif
#define AE_LOCK_ALIGNMENT 16
/* automatically determine compiler */
#define AE_MSVC 1
#define AE_GNUC 2
#define AE_SUNC 3
#define AE_COMPILER AE_UNKNOWN
#ifdef __GNUC__
#undef AE_COMPILER
#define AE_COMPILER AE_GNUC
#endif
#if defined(__SUNPRO_C)||defined(__SUNPRO_CC)
#undef AE_COMPILER
#define AE_COMPILER AE_SUNC
#endif
#ifdef _MSC_VER
#undef AE_COMPILER
#define AE_COMPILER AE_MSVC
#endif
/* compiler-specific definitions */
#if AE_COMPILER==AE_MSVC
#define ALIGNED __declspec(align(8))
#elif AE_COMPILER==AE_GNUC
#define ALIGNED __attribute__((aligned(8)))
#else
#define ALIGNED
#endif
/* state flags */
#define _ALGLIB_FLG_THREADING_MASK 0x7
#define _ALGLIB_FLG_THREADING_SHIFT 0
#define _ALGLIB_FLG_THREADING_USE_GLOBAL 0x0
#define _ALGLIB_FLG_THREADING_SERIAL 0x1
#define _ALGLIB_FLG_THREADING_PARALLEL 0x2
/* now we are ready to include headers */
#include <ctype.h>
#include <stdlib.h>
#include <stdio.h>
#include <stdarg.h>
#include <string.h>
#include <setjmp.h>
#include <math.h>
#include <stddef.h>
#if defined(AE_HAVE_STDINT)
#include <stdint.h>
#endif
/*
* SSE2 intrinsics
*
* Preprocessor directives below:
* - include headers for SSE2 intrinsics
* - define AE_HAS_SSE2_INTRINSICS definition
*
* These actions are performed when we have:
* - x86 architecture definition (AE_CPU==AE_INTEL)
* - compiler which supports intrinsics
*
* Presence of AE_HAS_SSE2_INTRINSICS does NOT mean that our CPU
* actually supports SSE2 - such things should be determined at runtime
* with ae_cpuid() call. It means that we are working under Intel and
* out compiler can issue SSE2-capable code.
*
*/
#if defined(AE_CPU)
#if AE_CPU==AE_INTEL
#if AE_COMPILER==AE_MSVC
#include <emmintrin.h>
#define AE_HAS_SSE2_INTRINSICS
#endif
#if AE_COMPILER==AE_GNUC
#include <xmmintrin.h>
#define AE_HAS_SSE2_INTRINSICS
#endif
#if AE_COMPILER==AE_SUNC
#include <xmmintrin.h>
#include <emmintrin.h>
#define AE_HAS_SSE2_INTRINSICS
#endif
#endif
#endif
/////////////////////////////////////////////////////////////////////////
//
// THIS SECTION CONTAINS DECLARATIONS FOR BASIC FUNCTIONALITY
// LIKE MEMORY MANAGEMENT FOR VECTORS/MATRICES WHICH IS SHARED
// BETWEEN C++ AND PURE C LIBRARIES
//
/////////////////////////////////////////////////////////////////////////
namespace alglib_impl
{
/* if we work under C++ environment, define several conditions */
#ifdef AE_USE_CPP
#define AE_USE_CPP_BOOL
#define AE_USE_CPP_SERIALIZATION
#include <iostream>
#endif
/*
* define ae_int32_t, ae_int64_t, ae_int_t, ae_bool, ae_complex, ae_error_type and ae_datatype
*/
#if defined(AE_INT32_T)
typedef AE_INT32_T ae_int32_t;
#endif
#if defined(AE_HAVE_STDINT) && !defined(AE_INT32_T)
typedef int32_t ae_int32_t;
#endif
#if !defined(AE_HAVE_STDINT) && !defined(AE_INT32_T)
#if AE_COMPILER==AE_MSVC
typedef __int32 ae_int32_t;
#endif
#if (AE_COMPILER==AE_GNUC) || (AE_COMPILER==AE_SUNC) || (AE_COMPILER==AE_UNKNOWN)
typedef int ae_int32_t;
#endif
#endif
#if defined(AE_INT64_T)
typedef AE_INT64_T ae_int64_t;
#endif
#if defined(AE_HAVE_STDINT) && !defined(AE_INT64_T)
typedef int64_t ae_int64_t;
#endif
#if !defined(AE_HAVE_STDINT) && !defined(AE_INT64_T)
#if AE_COMPILER==AE_MSVC
typedef __int64 ae_int64_t;
#endif
#if (AE_COMPILER==AE_GNUC) || (AE_COMPILER==AE_SUNC) || (AE_COMPILER==AE_UNKNOWN)
typedef signed long long ae_int64_t;
#endif
#endif
#if defined(AE_UINT64_T)
typedef AE_UINT64_T ae_uint64_t;
#endif
#if defined(AE_HAVE_STDINT) && !defined(AE_UINT64_T)
typedef uint64_t ae_uint64_t;
#endif
#if !defined(AE_HAVE_STDINT) && !defined(AE_UINT64_T)
#if AE_COMPILER==AE_MSVC
typedef unsigned __int64 ae_uint64_t;
#endif
#if (AE_COMPILER==AE_GNUC) || (AE_COMPILER==AE_SUNC) || (AE_COMPILER==AE_UNKNOWN)
typedef unsigned long long ae_uint64_t;
#endif
#endif
#if !defined(AE_INT_T)
typedef ptrdiff_t ae_int_t;
#endif
#if !defined(AE_USE_CPP_BOOL)
#define ae_bool char
#define ae_true 1
#define ae_false 0
#else
#define ae_bool bool
#define ae_true true
#define ae_false false
#endif
typedef struct { double x, y; } ae_complex;
typedef enum
{
ERR_OK = 0,
ERR_OUT_OF_MEMORY = 1,
ERR_XARRAY_TOO_LARGE = 2,
ERR_ASSERTION_FAILED = 3
} ae_error_type;
typedef ae_int_t ae_datatype;
/*
* other definitions
*/
enum { OWN_CALLER=1, OWN_AE=2 };
enum { ACT_UNCHANGED=1, ACT_SAME_LOCATION=2, ACT_NEW_LOCATION=3 };
enum { DT_BOOL=1, DT_BYTE=1, DT_INT=2, DT_REAL=3, DT_COMPLEX=4 };
enum { CPU_SSE2=1 };
/************************************************************************
x-string (zero-terminated):
owner OWN_CALLER or OWN_AE. Determines what to do on realloc().
If vector is owned by caller, X-interface will just set
ptr to NULL before realloc(). If it is owned by X, it
will call ae_free/x_free/aligned_free family functions.
last_action ACT_UNCHANGED, ACT_SAME_LOCATION, ACT_NEW_LOCATION
contents is either: unchanged, stored at the same location,
stored at the new location.
this field is set on return from X.
ptr pointer to the actual data
Members of this structure are ae_int64_t to avoid alignment problems.
************************************************************************/
typedef struct
{
ALIGNED ae_int64_t owner;
ALIGNED ae_int64_t last_action;
ALIGNED char *ptr;
} x_string;
/************************************************************************
x-vector:
cnt number of elements
datatype one of the DT_XXXX values
owner OWN_CALLER or OWN_AE. Determines what to do on realloc().
If vector is owned by caller, X-interface will just set
ptr to NULL before realloc(). If it is owned by X, it
will call ae_free/x_free/aligned_free family functions.
last_action ACT_UNCHANGED, ACT_SAME_LOCATION, ACT_NEW_LOCATION
contents is either: unchanged, stored at the same location,
stored at the new location.
this field is set on return from X interface and may be
used by caller as hint when deciding what to do with data
(if it was ACT_UNCHANGED or ACT_SAME_LOCATION, no array
reallocation or copying is required).
ptr pointer to the actual data
Members of this structure are ae_int64_t to avoid alignment problems.
************************************************************************/
typedef struct
{
ae_int64_t cnt;
ae_int64_t datatype;
ae_int64_t owner;
ae_int64_t last_action;
union
{
void *p_ptr;
ae_int64_t portable_alignment_enforcer;
} x_ptr;
} x_vector;
/************************************************************************
x-matrix:
rows number of rows. may be zero only when cols is zero too.
cols number of columns. may be zero only when rows is zero too.
stride stride, i.e. distance between first elements of rows (in bytes)
datatype one of the DT_XXXX values
owner OWN_CALLER or OWN_AE. Determines what to do on realloc().
If vector is owned by caller, X-interface will just set
ptr to NULL before realloc(). If it is owned by X, it
will call ae_free/x_free/aligned_free family functions.
last_action ACT_UNCHANGED, ACT_SAME_LOCATION, ACT_NEW_LOCATION
contents is either: unchanged, stored at the same location,
stored at the new location.
this field is set on return from X interface and may be
used by caller as hint when deciding what to do with data
(if it was ACT_UNCHANGED or ACT_SAME_LOCATION, no array
reallocation or copying is required).
ptr pointer to the actual data, stored rowwise
Members of this structure are ae_int64_t to avoid alignment problems.
************************************************************************/
typedef struct
{
ae_int64_t rows;
ae_int64_t cols;
ae_int64_t stride;
ae_int64_t datatype;
ae_int64_t owner;
ae_int64_t last_action;
union
{
void *p_ptr;
ae_int64_t portable_alignment_enforcer;
} x_ptr;
} x_matrix;
/************************************************************************
dynamic block which may be automatically deallocated during stack unwinding
p_next next block in the stack unwinding list.
NULL means that this block is not in the list
deallocator deallocator function which should be used to deallocate block.
NULL for "special" blocks (frame/stack boundaries)
ptr pointer which should be passed to the deallocator.
may be null (for zero-size block), DYN_BOTTOM or DYN_FRAME
for "special" blocks (frame/stack boundaries).
valgrind_hint is a special field which stores a special hint pointer for
Valgrind and other similar memory checking tools. ALGLIB
manually aligns pointers obtained via malloc, so ptr usually
points to location past the beginning of the actuallly
allocated memory. In such cases memory testing tools may
report "(possibly) lost" memory.
This "hint" field stores pointer actually returned by
malloc (or NULL, if for some reason we do not support
this feature). This field is used merely as a hint for
Valgrind - it should NOT be used for anything else.
************************************************************************/
typedef struct ae_dyn_block
{
struct ae_dyn_block * volatile p_next;
/* void *deallocator; */
void (*deallocator)(void*);
void * volatile ptr;
void* valgrind_hint;
} ae_dyn_block;
typedef void(*ae_deallocator)(void*);
/************************************************************************
frame marker
************************************************************************/
typedef struct ae_frame
{
ae_dyn_block db_marker;
} ae_frame;
/************************************************************************
ALGLIB environment state
************************************************************************/
typedef struct ae_state
{
/*
* endianness type: AE_LITTLE_ENDIAN or AE_BIG_ENDIAN
*/
ae_int_t endianness;
/*
* double value for NAN
*/
double v_nan;
/*
* double value for +INF
*/
double v_posinf;
/*
* double value for -INF
*/
double v_neginf;
/*
* pointer to the top block in a stack of frames
* which hold dynamically allocated objects
*/
ae_dyn_block * volatile p_top_block;
ae_dyn_block last_block;
/*
* jmp_buf pointer for internal C-style exception handling
*/
jmp_buf * volatile break_jump;
/*
* ae_error_type of the last error (filled when exception is thrown)
*/
ae_error_type volatile last_error;
/*
* human-readable message (filled when exception is thrown)
*/
const char* volatile error_msg;
/*
* Flags: call-local settings for ALGLIB
*/
ae_uint64_t flags;
/*
* threading information:
* a) current thread pool
* b) current worker thread
* c) parent task (one we are solving right now)
* d) thread exception handler (function which must be called
* by ae_assert before raising exception).
*
* NOTE: we use void* to store pointers in order to avoid explicit dependency on smp.h
*/
void *worker_thread;
void *parent_task;
void (*thread_exception_handler)(void*);
} ae_state;
/************************************************************************
Serializer:
* ae_stream_writer type is a function pointer for stream writer method;
this pointer is used by X-core for out-of-core serialization (say, to
serialize ALGLIB structure directly to managed C# stream).
This function accepts two parameters: pointer to ANSI (7-bit) string
and pointer-sized integer passed to serializer during initialization.
String being passed is a part of the data stream; aux paramerer may be
arbitrary value intended to be used by actual implementation of stream
writer. String parameter may include spaces and linefeed symbols, it
should be written to stream as is.
Return value must be zero for success or non-zero for failure.
* ae_stream_reader type is a function pointer for stream reader method;
this pointer is used by X-core for out-of-core unserialization (say, to
unserialize ALGLIB structure directly from managed C# stream).
This function accepts three parameters: pointer-sized integer passed to
serializer during initialization; number of symbols to read from
stream; pointer to buffer used to store next token read from stream
(ANSI encoding is used, buffer is large enough to store all symbols and
trailing zero symbol).
Number of symbols to read is always positive.
After being called by X-core, this function must:
* skip all space and linefeed characters from the current position at
the stream and until first non-space non-linefeed character is found
* read exactly cnt symbols from stream to buffer; check that all
symbols being read are non-space non-linefeed ones
* append trailing zero symbol to buffer
* return value must be zero on success, non-zero if even one of the
conditions above fails. When reader returns non-zero value, contents
of buf is not used.
************************************************************************/
typedef char(*ae_stream_writer)(const char *p_string, ae_int_t aux);
typedef char(*ae_stream_reader)(ae_int_t aux, ae_int_t cnt, char *p_buf);
typedef struct
{
ae_int_t mode;
ae_int_t entries_needed;
ae_int_t entries_saved;
ae_int_t bytes_asked;
ae_int_t bytes_written;
#ifdef AE_USE_CPP_SERIALIZATION
std::string *out_cppstr;
#endif
char *out_str; /* pointer to the current position at the output buffer; advanced with each write operation */
const char *in_str; /* pointer to the current position at the input buffer; advanced with each read operation */
ae_int_t stream_aux;
ae_stream_writer stream_writer;
ae_stream_reader stream_reader;
} ae_serializer;
typedef struct ae_vector
{
/*
* Number of elements in array, cnt>=0
*/
ae_int_t cnt;
/*
* Either DT_BOOL/DT_BYTE, DT_INT, DT_REAL or DT_COMPLEX
*/
ae_datatype datatype;
/*
* If ptr points to memory owned and managed by ae_vector itself,
* this field is ae_false. If vector was attached to x_vector structure
* with ae_vector_init_attach_to_x(), this field is ae_true.
*/
ae_bool is_attached;
/*
* ae_dyn_block structure which manages data in ptr. This structure
* is responsible for automatic deletion of object when its frame
* is destroyed.
*/
ae_dyn_block data;
/*
* Pointer to data.
* User usually works with this field.
*/
union
{
void *p_ptr;
ae_bool *p_bool;
unsigned char *p_ubyte;
ae_int_t *p_int;
double *p_double;
ae_complex *p_complex;
} ptr;
} ae_vector;
typedef struct ae_matrix
{
ae_int_t rows;
ae_int_t cols;
ae_int_t stride;
ae_datatype datatype;
/*
* If ptr points to memory owned and managed by ae_vector itself,
* this field is ae_false. If vector was attached to x_vector structure
* with ae_vector_init_attach_to_x(), this field is ae_true.
*/
ae_bool is_attached;
ae_dyn_block data;
union
{
void *p_ptr;
void **pp_void;
ae_bool **pp_bool;
ae_int_t **pp_int;
double **pp_double;
ae_complex **pp_complex;
} ptr;
} ae_matrix;
typedef struct ae_smart_ptr
{
/* pointer to subscriber; all changes in ptr are translated to subscriber */
void **subscriber;
/* pointer to object */
void *ptr;
/* whether smart pointer owns ptr */
ae_bool is_owner;
/* whether object pointed by ptr is dynamic - clearing such object requires BOTH
calling destructor function AND calling ae_free for memory occupied by object. */
ae_bool is_dynamic;
/* destructor function for pointer; clears all dynamically allocated memory */
void (*destroy)(void*);
/* frame entry; used to ensure automatic deallocation of smart pointer in case of exception/exit */
ae_dyn_block frame_entry;
} ae_smart_ptr;
/*************************************************************************
Lock.
This structure provides OS-independent non-reentrant lock:
* under Windows/Posix systems it uses system-provided locks
* under Boost it uses OS-independent lock provided by Boost package
* when no OS is defined, it uses "fake lock" (just stub which is not thread-safe):
a) "fake lock" can be in locked or free mode
b) "fake lock" can be used only from one thread - one which created lock
c) when thread acquires free lock, it immediately returns
d) when thread acquires busy lock, program is terminated
(because lock is already acquired and no one else can free it)
*************************************************************************/
typedef struct
{
/*
* Pointer to _lock structure. This pointer has type void* in order to
* make header file OS-independent (lock declaration depends on OS).
*/
void *lock_ptr;
/*
* For eternal=false this field manages pointer to _lock structure.
*
* ae_dyn_block structure is responsible for automatic deletion of
* the memory allocated for the pointer when its frame is destroyed.
*/
ae_dyn_block db;
/*
* Whether we have eternal lock object (used by thread pool) or
* transient lock. Eternal locks are allocated without using ae_dyn_block
* structure and do not allow deallocation.
*/
ae_bool eternal;
} ae_lock;
/*************************************************************************
Shared pool: data structure used to provide thread-safe access to pool of
temporary variables.
*************************************************************************/
typedef struct ae_shared_pool_entry
{
void * volatile obj;
void * volatile next_entry;
} ae_shared_pool_entry;
typedef struct ae_shared_pool
{
/* lock object which protects pool */
ae_lock pool_lock;
/* seed object (used to create new instances of temporaries) */
void * volatile seed_object;
/*
* list of recycled OBJECTS:
* 1. entries in this list store pointers to recycled objects
* 2. every time we retrieve object, we retrieve first entry from this list,
* move it to recycled_entries and return its obj field to caller/
*/
ae_shared_pool_entry * volatile recycled_objects;
/*
* list of recycled ENTRIES:
* 1. this list holds entries which are not used to store recycled objects;
* every time recycled object is retrieved, its entry is moved to this list.
* 2. every time object is recycled, we try to fetch entry for him from this list
* before allocating it with malloc()
*/
ae_shared_pool_entry * volatile recycled_entries;
/* enumeration pointer, points to current recycled object*/
ae_shared_pool_entry * volatile enumeration_counter;
/* size of object; this field is used when we call malloc() for new objects */
ae_int_t size_of_object;
/* initializer function; accepts pointer to malloc'ed object, initializes its fields */
void (*init)(void* dst, ae_state* state, ae_bool make_automatic);
/* copy constructor; accepts pointer to malloc'ed, but not initialized object */
void (*init_copy)(void* dst, void* src, ae_state* state, ae_bool make_automatic);
/* destructor function; */
void (*destroy)(void* ptr);
/* frame entry; contains pointer to the pool object itself */
ae_dyn_block frame_entry;
} ae_shared_pool;
void ae_never_call_it();
void ae_set_dbg_flag(ae_int64_t flag_id, ae_int64_t flag_val);
ae_int64_t ae_get_dbg_value(ae_int64_t id);
void ae_set_global_threading(ae_uint64_t flg_value);
ae_uint64_t ae_get_global_threading();
/************************************************************************
Debugging and tracing functions
************************************************************************/
void ae_set_error_flag(ae_bool *p_flag, ae_bool cond, const char *filename, int lineno, const char *xdesc);
const char * ae_get_last_error_file();
int ae_get_last_error_line();
const char * ae_get_last_error_xdesc();
void ae_trace_file(const char *tags, const char *filename);
void ae_trace_disable();
ae_bool ae_is_trace_enabled(const char *tag);
void ae_trace(const char * printf_fmt, ...);
int ae_tickcount();
/************************************************************************
...
************************************************************************/
ae_int_t ae_misalignment(const void *ptr, size_t alignment);
void* ae_align(void *ptr, size_t alignment);
ae_int_t ae_get_effective_workers(ae_int_t nworkers);
void ae_optional_atomic_add_i(ae_int_t *p, ae_int_t v);
void ae_optional_atomic_sub_i(ae_int_t *p, ae_int_t v);
void* aligned_malloc(size_t size, size_t alignment);
void* aligned_extract_ptr(void *block);
void aligned_free(void *block);
void* eternal_malloc(size_t size);
#if AE_MALLOC==AE_BASIC_STATIC_MALLOC
void set_memory_pool(void *ptr, size_t size);
void memory_pool_stats(ae_int_t *bytes_used, ae_int_t *bytes_free);
#endif
void* ae_malloc(size_t size, ae_state *state);
void ae_free(void *p);
ae_int_t ae_sizeof(ae_datatype datatype);
ae_bool ae_check_zeros(const void *ptr, ae_int_t n);
void ae_touch_ptr(void *p);
void ae_state_init(ae_state *state);
void ae_state_clear(ae_state *state);
void ae_state_set_break_jump(ae_state *state, jmp_buf *buf);
void ae_state_set_flags(ae_state *state, ae_uint64_t flags);
void ae_clean_up_before_breaking(ae_state *state);
void ae_break(ae_state *state, ae_error_type error_type, const char *msg);
void ae_frame_make(ae_state *state, ae_frame *tmp);
void ae_frame_leave(ae_state *state);
void ae_db_attach(ae_dyn_block *block, ae_state *state);
void ae_db_init(ae_dyn_block *block, ae_int_t size, ae_state *state, ae_bool make_automatic);
void ae_db_realloc(ae_dyn_block *block, ae_int_t size, ae_state *state);
void ae_db_free(ae_dyn_block *block);
void ae_db_swap(ae_dyn_block *block1, ae_dyn_block *block2);
void ae_vector_init(ae_vector *dst, ae_int_t size, ae_datatype datatype, ae_state *state, ae_bool make_automatic);
void ae_vector_init_copy(ae_vector *dst, ae_vector *src, ae_state *state, ae_bool make_automatic);
void ae_vector_init_from_x(ae_vector *dst, x_vector *src, ae_state *state, ae_bool make_automatic);
void ae_vector_init_attach_to_x(ae_vector *dst, x_vector *src, ae_state *state, ae_bool make_automatic);
void ae_vector_set_length(ae_vector *dst, ae_int_t newsize, ae_state *state);
void ae_vector_resize(ae_vector *dst, ae_int_t newsize, ae_state *state);
void ae_vector_clear(ae_vector *dst);
void ae_vector_destroy(ae_vector *dst);
void ae_swap_vectors(ae_vector *vec1, ae_vector *vec2);
void ae_matrix_init(ae_matrix *dst, ae_int_t rows, ae_int_t cols, ae_datatype datatype, ae_state *state, ae_bool make_automatic);
void ae_matrix_init_copy(ae_matrix *dst, ae_matrix *src, ae_state *state, ae_bool make_automatic);
void ae_matrix_init_from_x(ae_matrix *dst, x_matrix *src, ae_state *state, ae_bool make_automatic);
void ae_matrix_init_attach_to_x(ae_matrix *dst, x_matrix *src, ae_state *state, ae_bool make_automatic);
void ae_matrix_set_length(ae_matrix *dst, ae_int_t rows, ae_int_t cols, ae_state *state);
void ae_matrix_clear(ae_matrix *dst);
void ae_matrix_destroy(ae_matrix *dst);
void ae_swap_matrices(ae_matrix *mat1, ae_matrix *mat2);
void ae_smart_ptr_init(ae_smart_ptr *dst, void **subscriber, ae_state *state, ae_bool make_automatic);
void ae_smart_ptr_clear(void *_dst); /* accepts ae_smart_ptr* */
void ae_smart_ptr_destroy(void *_dst);
void ae_smart_ptr_assign(ae_smart_ptr *dst, void *new_ptr, ae_bool is_owner, ae_bool is_dynamic, void (*destroy)(void*));
void ae_smart_ptr_release(ae_smart_ptr *dst);
void ae_yield();
void ae_init_lock(ae_lock *lock, ae_state *state, ae_bool make_automatic);
void ae_init_lock_eternal(ae_lock *lock);
void ae_acquire_lock(ae_lock *lock);
void ae_release_lock(ae_lock *lock);
void ae_free_lock(ae_lock *lock);
void ae_shared_pool_init(void *_dst, ae_state *state, ae_bool make_automatic);
void ae_shared_pool_init_copy(void *_dst, void *_src, ae_state *state, ae_bool make_automatic);
void ae_shared_pool_clear(void *dst);
void ae_shared_pool_destroy(void *dst);
ae_bool ae_shared_pool_is_initialized(void *_dst);
void ae_shared_pool_set_seed(
ae_shared_pool *dst,
void *seed_object,
ae_int_t size_of_object,
void (*init)(void* dst, ae_state* state, ae_bool make_automatic),
void (*init_copy)(void* dst, void* src, ae_state* state, ae_bool make_automatic),
void (*destroy)(void* ptr),
ae_state *state);
void ae_shared_pool_retrieve(
ae_shared_pool *pool,
ae_smart_ptr *pptr,
ae_state *state);
void ae_shared_pool_recycle(
ae_shared_pool *pool,
ae_smart_ptr *pptr,
ae_state *state);
void ae_shared_pool_clear_recycled(
ae_shared_pool *pool,
ae_state *state);
void ae_shared_pool_first_recycled(
ae_shared_pool *pool,
ae_smart_ptr *pptr,
ae_state *state);
void ae_shared_pool_next_recycled(
ae_shared_pool *pool,
ae_smart_ptr *pptr,
ae_state *state);
void ae_shared_pool_reset(
ae_shared_pool *pool,
ae_state *state);
void ae_x_set_vector(x_vector *dst, ae_vector *src, ae_state *state);
void ae_x_set_matrix(x_matrix *dst, ae_matrix *src, ae_state *state);
void ae_x_attach_to_vector(x_vector *dst, ae_vector *src);
void ae_x_attach_to_matrix(x_matrix *dst, ae_matrix *src);
void x_vector_clear(x_vector *dst);
ae_bool x_is_symmetric(x_matrix *a);
ae_bool x_is_hermitian(x_matrix *a);
ae_bool x_force_symmetric(x_matrix *a);
ae_bool x_force_hermitian(x_matrix *a);
ae_bool ae_is_symmetric(ae_matrix *a);
ae_bool ae_is_hermitian(ae_matrix *a);
ae_bool ae_force_symmetric(ae_matrix *a);
ae_bool ae_force_hermitian(ae_matrix *a);
void ae_serializer_init(ae_serializer *serializer);
void ae_serializer_clear(ae_serializer *serializer);
void ae_serializer_alloc_start(ae_serializer *serializer);
void ae_serializer_alloc_entry(ae_serializer *serializer);
void ae_serializer_alloc_byte_array(ae_serializer *serializer, ae_vector *bytes);
ae_int_t ae_serializer_get_alloc_size(ae_serializer *serializer);
#ifdef AE_USE_CPP_SERIALIZATION
void ae_serializer_sstart_str(ae_serializer *serializer, std::string *buf);
void ae_serializer_ustart_str(ae_serializer *serializer, const std::string *buf);
void ae_serializer_sstart_stream(ae_serializer *serializer, std::ostream *stream);
void ae_serializer_ustart_stream(ae_serializer *serializer, const std::istream *stream);
#endif
void ae_serializer_sstart_str(ae_serializer *serializer, char *buf);
void ae_serializer_ustart_str(ae_serializer *serializer, const char *buf);
void ae_serializer_sstart_stream(ae_serializer *serializer, ae_stream_writer writer, ae_int_t aux);
void ae_serializer_ustart_stream(ae_serializer *serializer, ae_stream_reader reader, ae_int_t aux);
void ae_serializer_serialize_bool(ae_serializer *serializer, ae_bool v, ae_state *state);
void ae_serializer_serialize_int(ae_serializer *serializer, ae_int_t v, ae_state *state);
void ae_serializer_serialize_int64(ae_serializer *serializer, ae_int64_t v, ae_state *state);
void ae_serializer_serialize_double(ae_serializer *serializer, double v, ae_state *state);
void ae_serializer_serialize_byte_array(ae_serializer *serializer, ae_vector *bytes, ae_state *state);
void ae_serializer_unserialize_bool(ae_serializer *serializer, ae_bool *v, ae_state *state);
void ae_serializer_unserialize_int(ae_serializer *serializer, ae_int_t *v, ae_state *state);
void ae_serializer_unserialize_int64(ae_serializer *serializer, ae_int64_t *v, ae_state *state);
void ae_serializer_unserialize_double(ae_serializer *serializer, double *v, ae_state *state);
void ae_serializer_unserialize_byte_array(ae_serializer *serializer, ae_vector *bytes, ae_state *state);
void ae_serializer_stop(ae_serializer *serializer, ae_state *state);
/************************************************************************
Service functions
************************************************************************/
void ae_assert(ae_bool cond, const char *msg, ae_state *state);
ae_int_t ae_cpuid();
/************************************************************************
Real math functions:
* IEEE-compliant floating point comparisons
* standard functions
************************************************************************/
ae_bool ae_fp_eq(double v1, double v2);
ae_bool ae_fp_neq(double v1, double v2);
ae_bool ae_fp_less(double v1, double v2);
ae_bool ae_fp_less_eq(double v1, double v2);
ae_bool ae_fp_greater(double v1, double v2);
ae_bool ae_fp_greater_eq(double v1, double v2);
ae_bool ae_isfinite_stateless(double x, ae_int_t endianness);
ae_bool ae_isnan_stateless(double x, ae_int_t endianness);
ae_bool ae_isinf_stateless(double x, ae_int_t endianness);
ae_bool ae_isposinf_stateless(double x, ae_int_t endianness);
ae_bool ae_isneginf_stateless(double x, ae_int_t endianness);
ae_int_t ae_get_endianness();
ae_bool ae_isfinite(double x,ae_state *state);
ae_bool ae_isnan(double x, ae_state *state);
ae_bool ae_isinf(double x, ae_state *state);
ae_bool ae_isposinf(double x,ae_state *state);
ae_bool ae_isneginf(double x,ae_state *state);
double ae_fabs(double x, ae_state *state);
ae_int_t ae_iabs(ae_int_t x, ae_state *state);
double ae_sqr(double x, ae_state *state);
double ae_sqrt(double x, ae_state *state);
ae_int_t ae_sign(double x, ae_state *state);
ae_int_t ae_round(double x, ae_state *state);
ae_int_t ae_trunc(double x, ae_state *state);
ae_int_t ae_ifloor(double x, ae_state *state);
ae_int_t ae_iceil(double x, ae_state *state);
ae_int_t ae_maxint(ae_int_t m1, ae_int_t m2, ae_state *state);
ae_int_t ae_minint(ae_int_t m1, ae_int_t m2, ae_state *state);
double ae_maxreal(double m1, double m2, ae_state *state);
double ae_minreal(double m1, double m2, ae_state *state);
double ae_randomreal(ae_state *state);
ae_int_t ae_randominteger(ae_int_t maxv, ae_state *state);
double ae_sin(double x, ae_state *state);
double ae_cos(double x, ae_state *state);
double ae_tan(double x, ae_state *state);
double ae_sinh(double x, ae_state *state);
double ae_cosh(double x, ae_state *state);
double ae_tanh(double x, ae_state *state);
double ae_asin(double x, ae_state *state);
double ae_acos(double x, ae_state *state);
double ae_atan(double x, ae_state *state);
double ae_atan2(double y, double x, ae_state *state);
double ae_log(double x, ae_state *state);
double ae_pow(double x, double y, ae_state *state);
double ae_exp(double x, ae_state *state);
/************************************************************************
Complex math functions:
* basic arithmetic operations
* standard functions
************************************************************************/
ae_complex ae_complex_from_i(ae_int_t v);
ae_complex ae_complex_from_d(double v);
ae_complex ae_c_neg(ae_complex lhs);
ae_bool ae_c_eq(ae_complex lhs, ae_complex rhs);
ae_bool ae_c_neq(ae_complex lhs, ae_complex rhs);
ae_complex ae_c_add(ae_complex lhs, ae_complex rhs);
ae_complex ae_c_mul(ae_complex lhs, ae_complex rhs);
ae_complex ae_c_sub(ae_complex lhs, ae_complex rhs);
ae_complex ae_c_div(ae_complex lhs, ae_complex rhs);
ae_bool ae_c_eq_d(ae_complex lhs, double rhs);
ae_bool ae_c_neq_d(ae_complex lhs, double rhs);
ae_complex ae_c_add_d(ae_complex lhs, double rhs);
ae_complex ae_c_mul_d(ae_complex lhs, double rhs);
ae_complex ae_c_sub_d(ae_complex lhs, double rhs);
ae_complex ae_c_d_sub(double lhs, ae_complex rhs);
ae_complex ae_c_div_d(ae_complex lhs, double rhs);
ae_complex ae_c_d_div(double lhs, ae_complex rhs);
ae_complex ae_c_conj(ae_complex lhs, ae_state *state);
ae_complex ae_c_sqr(ae_complex lhs, ae_state *state);
double ae_c_abs(ae_complex z, ae_state *state);
/************************************************************************
Complex BLAS operations
************************************************************************/
ae_complex ae_v_cdotproduct(const ae_complex *v0, ae_int_t stride0, const char *conj0, const ae_complex *v1, ae_int_t stride1, const char *conj1, ae_int_t n);
void ae_v_cmove(ae_complex *vdst, ae_int_t stride_dst, const ae_complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void ae_v_cmoveneg(ae_complex *vdst, ae_int_t stride_dst, const ae_complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void ae_v_cmoved(ae_complex *vdst, ae_int_t stride_dst, const ae_complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, double alpha);
void ae_v_cmovec(ae_complex *vdst, ae_int_t stride_dst, const ae_complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, ae_complex alpha);
void ae_v_cadd(ae_complex *vdst, ae_int_t stride_dst, const ae_complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void ae_v_caddd(ae_complex *vdst, ae_int_t stride_dst, const ae_complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, double alpha);