ap.h

/*************************************************************************
ALGLIB 3.11.0 (source code generated 2017-05-11)
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_MSVC 1
#define AE_GNUC 2
#define AE_SUNC 3
#define AE_INTEL 1
#define AE_SPARC 2
#define AE_WINDOWS 1
#define AE_POSIX 2
#define AE_LOCK_ALIGNMENT 16
 
/* in case no OS is defined, use AE_UNKNOWN */
#ifndef AE_OS
#define AE_OS AE_UNKNOWN
#endif
 
/* automatically determine compiler */
#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
 
/* now we are ready to include headers */
#include <stdlib.h>
#include <stdio.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_ERROR_HANDLING
#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_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_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
{
    ALIGNED ae_int64_t     cnt;
    ALIGNED ae_int64_t     datatype;
    ALIGNED ae_int64_t     owner;
    ALIGNED ae_int64_t     last_action;
    ALIGNED void *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
{
    ALIGNED ae_int64_t     rows;
    ALIGNED ae_int64_t     cols;
    ALIGNED ae_int64_t     stride;
    ALIGNED ae_int64_t     datatype;
    ALIGNED ae_int64_t     owner;
    ALIGNED ae_int64_t     last_action;
    ALIGNED void *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).
 
************************************************************************/
typedef struct ae_dyn_block
{
    struct ae_dyn_block * volatile p_next;
    /* void *deallocator; */
    void (*deallocator)(void*);
    void * volatile ptr;
} 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 for cases when C-style exception handling is used
     */
#ifndef AE_USE_CPP_ERROR_HANDLING
    jmp_buf * volatile break_jump;
#endif
 
    /*
     * 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;
    
    /*
     * 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_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_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;
        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_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 *ptr;
} 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);
    
    /* copy constructor; accepts pointer to malloc'ed, but not initialized object */
    void (*init_copy)(void* dst, void* src, ae_state* state);
    
    /* destructor function; */
    void (*destroy)(void* ptr);
    
    /* frame entry; contains pointer to the pool object itself */
    ae_dyn_block frame_entry;
} ae_shared_pool;
 
ae_int_t ae_misalignment(const void *ptr, size_t alignment);
void* ae_align(void *ptr, size_t alignment);
void* aligned_malloc(size_t size, size_t alignment);
void  aligned_free(void *block);
 
void* ae_malloc(size_t size, ae_state *state);
void  ae_free(void *p);
ae_int_t ae_sizeof(ae_datatype datatype);
void ae_touch_ptr(void *p);
 
void ae_state_init(ae_state *state);
void ae_state_clear(ae_state *state);
#ifndef AE_USE_CPP_ERROR_HANDLING
void ae_state_set_break_jump(ae_state *state, jmp_buf *buf);
#endif
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);
ae_bool ae_db_malloc(ae_dyn_block *block, ae_int_t size, ae_state *state, ae_bool make_automatic);
ae_bool 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);
void ae_vector_init_copy(ae_vector *dst, ae_vector *src, ae_state *state);
void ae_vector_init_from_x(ae_vector *dst, x_vector *src, ae_state *state);
void ae_vector_attach_to_x(ae_vector *dst, x_vector *src, ae_state *state);
ae_bool ae_vector_set_length(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);
void ae_matrix_init_copy(ae_matrix *dst, ae_matrix *src, ae_state *state);
void ae_matrix_init_from_x(ae_matrix *dst, x_matrix *src, ae_state *state);
void ae_matrix_attach_to_x(ae_matrix *dst, x_matrix *src, ae_state *state);
ae_bool 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);
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);
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);
void ae_shared_pool_init_copy(void *_dst, void *_src, ae_state *state);
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),
    void            (*init_copy)(void* dst, void* src, ae_state* state),
    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);
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_double(ae_serializer *serializer, double v, 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_double(ae_serializer *serializer, double *v, 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);
void ae_v_caddc(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_csub(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_csubd(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_csubc(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_cmuld(ae_complex *vdst, ae_int_t stride_dst, ae_int_t n, double alpha);
void ae_v_cmulc(ae_complex *vdst, ae_int_t stride_dst, ae_int_t n, ae_complex alpha);
 
/************************************************************************
Real BLAS operations
************************************************************************/
double ae_v_dotproduct(const double *v0, ae_int_t stride0, const double *v1, ae_int_t stride1, ae_int_t n);
void ae_v_move(double *vdst,    ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n);
void ae_v_moveneg(double *vdst, ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n);
void ae_v_moved(double *vdst,   ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void ae_v_add(double *vdst,     ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n);
void ae_v_addd(double *vdst,    ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void ae_v_sub(double *vdst,     ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n);
void ae_v_subd(double *vdst,    ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void ae_v_muld(double *vdst,  ae_int_t stride_dst, ae_int_t n, double alpha);
 
/************************************************************************
Other functions
************************************************************************/
ae_int_t ae_v_len(ae_int_t a, ae_int_t b);
 
/*
extern const double ae_machineepsilon;
extern const double ae_maxrealnumber;
extern const double ae_minrealnumber;
extern const double ae_pi;
*/
#define ae_machineepsilon 5E-16
#define ae_maxrealnumber  1E300
#define ae_minrealnumber  1E-300
#define ae_pi 3.1415926535897932384626433832795
 
 
/************************************************************************
RComm functions
************************************************************************/
typedef struct rcommstate
{
    int stage;
    ae_vector ia;
    ae_vector ba;
    ae_vector ra;
    ae_vector ca;
} rcommstate;
void _rcommstate_init(rcommstate* p, ae_state *_state);
void _rcommstate_init_copy(rcommstate* dst, rcommstate* src, ae_state *_state);
void _rcommstate_clear(rcommstate* p);
void _rcommstate_destroy(rcommstate* p);
 
/************************************************************************
Allocation counter, inactive by default.
Turned on when needed for debugging purposes.
************************************************************************/
extern ae_int64_t _alloc_counter;
extern ae_bool    _use_alloc_counter;
 
 
/************************************************************************
debug functions (must be turned on by preprocessor definitions):
* tickcount(), which is wrapper around GetTickCount()
* flushconsole(), fluches console
* ae_debugrng(), returns random number generated with high-quality random numbers generator
* ae_set_seed(), sets seed of the debug RNG (NON-THREAD-SAFE!!!)
* ae_get_seed(), returns two seed values of the debug RNG (NON-THREAD-SAFE!!!)
************************************************************************/
#ifdef AE_DEBUG4WINDOWS
#define flushconsole(s) fflush(stdout)
#define tickcount(s) _tickcount()
int _tickcount();
#endif
#ifdef AE_DEBUG4POSIX
#define flushconsole(s) fflush(stdout)
#define tickcount(s) _tickcount()
int _tickcount();
#endif
 
 
}
 
 
//
// THIS SECTION CONTAINS DECLARATIONS FOR C++ RELATED FUNCTIONALITY
//
 
namespace alglib
{
 
typedef alglib_impl::ae_int_t ae_int_t;
 
/********************************************************************
Class forwards
********************************************************************/
class complex;
 
ae_int_t vlen(ae_int_t n1, ae_int_t n2);
 
/********************************************************************
Exception class.
********************************************************************/
class ap_error
{
public:
    std::string msg;
    
    ap_error();
    ap_error(const char *s);
    static void make_assertion(bool bClause);
    static void make_assertion(bool bClause, const char *p_msg);
private:
};
 
/********************************************************************
Complex number with double precision.
********************************************************************/
class complex
{
public:
    complex();
    complex(const double &_x);
    complex(const double &_x, const double &_y);
    complex(const complex &z);
 
    complex& operator= (const double& v);
    complex& operator+=(const double& v);
    complex& operator-=(const double& v);
    complex& operator*=(const double& v);
    complex& operator/=(const double& v);
 
    complex& operator= (const complex& z);
    complex& operator+=(const complex& z);
    complex& operator-=(const complex& z);
    complex& operator*=(const complex& z);
    complex& operator/=(const complex& z);
 
    alglib_impl::ae_complex*       c_ptr();
    const alglib_impl::ae_complex* c_ptr() const;
    
    std::string tostring(int dps) const;
 
    double x, y;
};
 
const alglib::complex operator/(const alglib::complex& lhs, const alglib::complex& rhs);
const bool operator==(const alglib::complex& lhs, const alglib::complex& rhs);
const bool operator!=(const alglib::complex& lhs, const alglib::complex& rhs);
const alglib::complex operator+(const alglib::complex& lhs);
const alglib::complex operator-(const alglib::complex& lhs);
const alglib::complex operator+(const alglib::complex& lhs, const alglib::complex& rhs);
const alglib::complex operator+(const alglib::complex& lhs, const double& rhs);
const alglib::complex operator+(const double& lhs, const alglib::complex& rhs);
const alglib::complex operator-(const alglib::complex& lhs, const alglib::complex& rhs);
const alglib::complex operator-(const alglib::complex& lhs, const double& rhs);
const alglib::complex operator-(const double& lhs, const alglib::complex& rhs);
const alglib::complex operator*(const alglib::complex& lhs, const alglib::complex& rhs);
const alglib::complex operator*(const alglib::complex& lhs, const double& rhs);
const alglib::complex operator*(const double& lhs, const alglib::complex& rhs);
const alglib::complex operator/(const alglib::complex& lhs, const alglib::complex& rhs);
const alglib::complex operator/(const double& lhs, const alglib::complex& rhs);
const alglib::complex operator/(const alglib::complex& lhs, const double& rhs);
double abscomplex(const alglib::complex &z);
alglib::complex conj(const alglib::complex &z);
alglib::complex csqr(const alglib::complex &z);
void setnworkers(alglib::ae_int_t nworkers);
 
/********************************************************************
Level 1 BLAS functions
 
NOTES:
* destination and source should NOT overlap
* stride is assumed to be positive, but it is not 
  assert'ed within function
* conj_src parameter specifies whether complex source is conjugated 
  before processing or not. Pass string which starts with 'N' or 'n'
  ("No conj", for example) to use unmodified parameter. All other
  values will result in conjugation of input, but it is recommended
  to use "Conj" in such cases.
********************************************************************/
double vdotproduct(const double *v0, ae_int_t stride0, const double *v1, ae_int_t stride1, ae_int_t n);
double vdotproduct(const double *v1, const double *v2, ae_int_t N);
 
alglib::complex vdotproduct(const alglib::complex *v0, ae_int_t stride0, const char *conj0, const alglib::complex *v1, ae_int_t stride1, const char *conj1, ae_int_t n);
alglib::complex vdotproduct(const alglib::complex *v1, const alglib::complex *v2, ae_int_t N);
 
void vmove(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n);
void vmove(double *vdst, const double* vsrc, ae_int_t N);
 
void vmove(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void vmove(alglib::complex *vdst, const alglib::complex* vsrc, ae_int_t N);
 
void vmoveneg(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n);
void vmoveneg(double *vdst, const double *vsrc, ae_int_t N);
 
void vmoveneg(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void vmoveneg(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N);
 
void vmove(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void vmove(double *vdst, const double *vsrc, ae_int_t N, double alpha);
 
void vmove(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, double alpha);
void vmove(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, double alpha);
 
void vmove(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex* vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, alglib::complex alpha);
void vmove(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, alglib::complex alpha);
 
void vadd(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n);
void vadd(double *vdst, const double *vsrc, ae_int_t N);
 
void vadd(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N);
 
void vadd(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void vadd(double *vdst, const double *vsrc, ae_int_t N, double alpha);
 
void vadd(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, double alpha);
void vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, double alpha);
 
void vadd(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, alglib::complex alpha);
void vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, alglib::complex alpha);
 
void vsub(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n);
void vsub(double *vdst, const double *vsrc, ae_int_t N);
 
void vsub(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n);
void vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N);
 
void vsub(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha);
void vsub(double *vdst, const double *vsrc, ae_int_t N, double alpha);
 
void vsub(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, double alpha);
void vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, double alpha);
 
void vsub(alglib::complex *vdst, ae_int_t stride_dst, const alglib::complex *vsrc, ae_int_t stride_src, const char *conj_src, ae_int_t n, alglib::complex alpha);
void vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, alglib::complex alpha);
 
void vmul(double *vdst,  ae_int_t stride_dst, ae_int_t n, double alpha);
void vmul(double *vdst, ae_int_t N, double alpha);
 
void vmul(alglib::complex *vdst, ae_int_t stride_dst, ae_int_t n, double alpha);
void vmul(alglib::complex *vdst, ae_int_t N, double alpha);
 
void vmul(alglib::complex *vdst, ae_int_t stride_dst, ae_int_t n, alglib::complex alpha);
void vmul(alglib::complex *vdst, ae_int_t N, alglib::complex alpha);
 
 
 
/********************************************************************
string conversion functions !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
********************************************************************/
 
/********************************************************************
1- and 2-dimensional arrays
********************************************************************/
class ae_vector_wrapper
{
public:
    ae_vector_wrapper();
    virtual ~ae_vector_wrapper();
 
    void setlength(ae_int_t iLen);
    ae_int_t length() const;
 
    void attach_to(alglib_impl::ae_vector *ptr);
    void allocate_own(ae_int_t size, alglib_impl::ae_datatype datatype);
    const alglib_impl::ae_vector* c_ptr() const;
    alglib_impl::ae_vector* c_ptr();
private:
    ae_vector_wrapper(const ae_vector_wrapper &rhs);
    const ae_vector_wrapper& operator=(const ae_vector_wrapper &rhs);
protected:
    //
    // Copies source vector RHS into current object.
    //
    // Current object is considered empty (this function should be
    // called from copy constructor).
    //
    void create(const ae_vector_wrapper &rhs);
    
    //
    // Copies array given by string into current object. Additional
    // parameter DATATYPE contains information about type of the data
    // in S and type of the array to create.
    //
    // Current object is considered empty (this function should be
    // called from copy constructor).
    //
    void create(const char *s, alglib_impl::ae_datatype datatype);
    
    //
    // Assigns RHS to current object.
    //
    // It has several branches depending on target object status:
    // * in case it is proxy object, data are copied into memory pointed by
    //   proxy. Function checks that source has exactly same size as target
    //   (exception is thrown on failure).
    // * in case it is non-proxy object, data allocated by object are cleared
    //   and a copy of RHS is created in target.
    //
    // NOTE: this function correctly handles assignments of the object to itself.
    //
    void assign(const ae_vector_wrapper &rhs);
    
    alglib_impl::ae_vector *p_vec;
    alglib_impl::ae_vector vec;
};
 
class boolean_1d_array : public ae_vector_wrapper
{
public:
    boolean_1d_array();
    boolean_1d_array(const char *s);
    boolean_1d_array(const boolean_1d_array &rhs);
    boolean_1d_array(alglib_impl::ae_vector *p);
    const boolean_1d_array& operator=(const boolean_1d_array &rhs);
    virtual ~boolean_1d_array() ;
 
    const ae_bool& operator()(ae_int_t i) const;
    ae_bool& operator()(ae_int_t i);
 
    const ae_bool& operator[](ae_int_t i) const;
    ae_bool& operator[](ae_int_t i);
 
    void setcontent(ae_int_t iLen, const bool *pContent );
    ae_bool* getcontent();
    const ae_bool* getcontent() const;
 
    std::string tostring() const;
};
 
class integer_1d_array : public ae_vector_wrapper
{
public:
    integer_1d_array();
    integer_1d_array(const char *s);
    integer_1d_array(const integer_1d_array &rhs);
    integer_1d_array(alglib_impl::ae_vector *p);
    const integer_1d_array& operator=(const integer_1d_array &rhs);
    virtual ~integer_1d_array();
 
    const ae_int_t& operator()(ae_int_t i) const;
    ae_int_t& operator()(ae_int_t i);
 
    const ae_int_t& operator[](ae_int_t i) const;
    ae_int_t& operator[](ae_int_t i);
 
    void setcontent(ae_int_t iLen, const ae_int_t *pContent );
 
    ae_int_t* getcontent();
    const ae_int_t* getcontent() const;
 
    std::string tostring() const;
};
 
class real_1d_array : public ae_vector_wrapper
{
public:
    real_1d_array();
    real_1d_array(const char *s);
    real_1d_array(const real_1d_array &rhs);
    real_1d_array(alglib_impl::ae_vector *p);
    const real_1d_array& operator=(const real_1d_array &rhs);
    virtual ~real_1d_array();
 
    const double& operator()(ae_int_t i) const;
    double& operator()(ae_int_t i);
 
    const double& operator[](ae_int_t i) const;
    double& operator[](ae_int_t i);
 
    void setcontent(ae_int_t iLen, const double *pContent );
    double* getcontent();
    const double* getcontent() const;
 
    std::string tostring(int dps) const;
};
 
class complex_1d_array : public ae_vector_wrapper
{
public:
    complex_1d_array();
    complex_1d_array(const char *s);
    complex_1d_array(const complex_1d_array &rhs);
    complex_1d_array(alglib_impl::ae_vector *p);
    const complex_1d_array& operator=(const complex_1d_array &rhs);
    virtual ~complex_1d_array();
 
    const alglib::complex& operator()(ae_int_t i) const;
    alglib::complex& operator()(ae_int_t i);
 
    const alglib::complex& operator[](ae_int_t i) const;
    alglib::complex& operator[](ae_int_t i);
 
    void setcontent(ae_int_t iLen, const alglib::complex *pContent );
    alglib::complex* getcontent();
    const alglib::complex* getcontent() const;
 
    std::string tostring(int dps) const;
};
 
class ae_matrix_wrapper
{
public:
    ae_matrix_wrapper();
    virtual ~ae_matrix_wrapper();
    const ae_matrix_wrapper& operator=(const ae_matrix_wrapper &rhs);
 
    void setlength(ae_int_t rows, ae_int_t cols);
    ae_int_t rows() const;
    ae_int_t cols() const;
    bool isempty() const;
  ae_int_t getstride() const;
 
    void attach_to(alglib_impl::ae_matrix *ptr);
    void allocate_own(ae_int_t rows, ae_int_t cols, alglib_impl::ae_datatype datatype);
    const alglib_impl::ae_matrix* c_ptr() const;
    alglib_impl::ae_matrix* c_ptr();
private:
    ae_matrix_wrapper(const ae_matrix_wrapper &rhs);
protected:
    //
    // Copies source matrix RHS into current object.
    //
    // Current object is considered empty (this function should be
    // called from copy constructor).
    //
    void create(const ae_matrix_wrapper &rhs);
    
    //
    // Copies array given by string into current object. Additional
    // parameter DATATYPE contains information about type of the data
    // in S and type of the array to create.
    //
    // Current object is considered empty (this function should be
    // called from copy constructor).
    //
    void create(const char *s, alglib_impl::ae_datatype datatype);
    
    //
    // Assigns RHS to current object.
    //
    // It has several branches depending on target object status:
    // * in case it is proxy object, data are copied into memory pointed by
    //   proxy. Function checks that source has exactly same size as target
    //   (exception is thrown on failure).
    // * in case it is non-proxy object, data allocated by object are cleared
    //   and a copy of RHS is created in target.
    //
    // NOTE: this function correctly handles assignments of the object to itself.
    //
    void assign(const ae_matrix_wrapper &rhs);
    
    alglib_impl::ae_matrix *p_mat;
    alglib_impl::ae_matrix mat;
};
 
class boolean_2d_array : public ae_matrix_wrapper
{
public:
    boolean_2d_array();
    boolean_2d_array(const boolean_2d_array &rhs);
    boolean_2d_array(alglib_impl::ae_matrix *p);
    boolean_2d_array(const char *s);
    virtual ~boolean_2d_array();
 
    const ae_bool& operator()(ae_int_t i, ae_int_t j) const;
    ae_bool& operator()(ae_int_t i, ae_int_t j);
 
    const ae_bool* operator[](ae_int_t i) const;
    ae_bool* operator[](ae_int_t i);
    
    void setcontent(ae_int_t irows, ae_int_t icols, const bool *pContent );
    
    std::string tostring() const ;
};
 
class integer_2d_array : public ae_matrix_wrapper
{
public:
    integer_2d_array();
    integer_2d_array(const integer_2d_array &rhs);
    integer_2d_array(alglib_impl::ae_matrix *p);
    integer_2d_array(const char *s);
    virtual ~integer_2d_array();
 
    const ae_int_t& operator()(ae_int_t i, ae_int_t j) const;
    ae_int_t& operator()(ae_int_t i, ae_int_t j);
 
    const ae_int_t* operator[](ae_int_t i) const;
    ae_int_t* operator[](ae_int_t i);
 
    void setcontent(ae_int_t irows, ae_int_t icols, const ae_int_t *pContent );
    
    std::string tostring() const;
};
 
class real_2d_array : public ae_matrix_wrapper
{
public:
    real_2d_array();
    real_2d_array(const real_2d_array &rhs);
    real_2d_array(alglib_impl::ae_matrix *p);
    real_2d_array(const char *s);
    virtual ~real_2d_array();
 
    const double& operator()(ae_int_t i, ae_int_t j) const;
    double& operator()(ae_int_t i, ae_int_t j);
 
    const double* operator[](ae_int_t i) const;
    double* operator[](ae_int_t i);
 
    void setcontent(ae_int_t irows, ae_int_t icols, const double *pContent );
 
    std::string tostring(int dps) const;
};
 
class complex_2d_array : public ae_matrix_wrapper
{
public:
    complex_2d_array();
    complex_2d_array(const complex_2d_array &rhs);
    complex_2d_array(alglib_impl::ae_matrix *p);
    complex_2d_array(const char *s);
    virtual ~complex_2d_array();
 
    const alglib::complex& operator()(ae_int_t i, ae_int_t j) const;
    alglib::complex& operator()(ae_int_t i, ae_int_t j);
 
    const alglib::complex* operator[](ae_int_t i) const;
    alglib::complex* operator[](ae_int_t i);
 
    void setcontent(ae_int_t irows, ae_int_t icols, const alglib::complex *pContent );
 
    std::string tostring(int dps) const;
};
 
/********************************************************************
CSV operations: reading CSV file to real matrix.
 
This function reads CSV  file  and  stores  its  contents  to  double
precision 2D array. Format of the data file must conform to RFC  4180
specification, with additional notes:
* file size should be less than 2GB
* ASCI encoding, UTF-8 without BOM (in header names) are supported
* any character (comma/tab/space) may be used as field separator,  as
  long as it is distinct from one used for decimal point
* multiple subsequent field separators (say, two  spaces) are treated
  as MULTIPLE separators, not one big separator
* both comma and full stop may be used as decimal point. Parser  will
  automatically determine specific character being used.  Both  fixed
  and exponential number formats are  allowed.   Thousand  separators
  are NOT allowed.
* line may end with \n (Unix style) or \r\n (Windows  style),  parser
  will automatically adapt to chosen convention
* escaped fields (ones in double quotes) are not supported
 
INPUT PARAMETERS:
    filename        relative/absolute path
    separator       character used to separate fields.  May  be  ' ',
                    ',', '\t'. Other separators are possible too.
    flags           several values combined with bitwise OR:
                    * alglib::CSV_SKIP_HEADERS -  if present, first row
                      contains headers  and  will  be  skipped.   Its
                      contents is used to determine fields count, and
                      that's all.
                    If no flags are specified, default value 0x0  (or
                    alglib::CSV_DEFAULT, which is same) should be used.
                    
OUTPUT PARAMETERS:
    out             2D matrix, CSV file parsed with atof()
    
HANDLING OF SPECIAL CASES:
* file does not exist - alglib::ap_error exception is thrown
* empty file - empty array is returned (no exception)
* skip_first_row=true, only one row in file - empty array is returned
* field contents is not recognized by atof() - field value is replaced
  by 0.0
********************************************************************/
void read_csv(const char *filename, char separator, int flags, alglib::real_2d_array &out);
 
 
/********************************************************************
dataset information.
 
can store regression dataset, classification dataset, or non-labeled
task:
* nout==0 means non-labeled task (clustering, for example)
* nout>0 && nclasses==0 means regression task
* nout>0 && nclasses>0 means classification task
********************************************************************/
/*class dataset
{
public:
    dataset():nin(0), nout(0), nclasses(0), trnsize(0), valsize(0), tstsize(0), totalsize(0){};
 
    int nin, nout, nclasses;
 
    int trnsize;
    int valsize;
    int tstsize;
    int totalsize;
 
    alglib::real_2d_array trn;
    alglib::real_2d_array val;
    alglib::real_2d_array tst;
    alglib::real_2d_array all;
};
 
bool opendataset(std::string file, dataset *pdataset);
 
//
// internal functions
//
std::string strtolower(const std::string &s);
bool readstrings(std::string file, std::list<std::string> *pOutput);
bool readstrings(std::string file, std::list<std::string> *pOutput, std::string comment);
void explodestring(std::string s, char sep, std::vector<std::string> *pOutput);
std::string xtrim(std::string s);*/
 
/********************************************************************
Constants and functions introduced for compatibility with AlgoPascal
********************************************************************/
extern const double machineepsilon;
extern const double maxrealnumber;
extern const double minrealnumber;
extern const double fp_nan;
extern const double fp_posinf;
extern const double fp_neginf;
extern const ae_int_t endianness;
static const int CSV_DEFAULT = 0x0;
static const int CSV_SKIP_HEADERS = 0x1;
 
int sign(double x);
double randomreal();
ae_int_t randominteger(ae_int_t maxv);
int round(double x);
int trunc(double x);
int ifloor(double x);
int iceil(double x);
double pi();
double sqr(double x);
int maxint(int m1, int m2);
int minint(int m1, int m2);
double maxreal(double m1, double m2);
double minreal(double m1, double m2);
 
bool fp_eq(double v1, double v2);
bool fp_neq(double v1, double v2);
bool fp_less(double v1, double v2);
bool fp_less_eq(double v1, double v2);
bool fp_greater(double v1, double v2);
bool fp_greater_eq(double v1, double v2);
 
bool fp_isnan(double x);
bool fp_isposinf(double x);
bool fp_isneginf(double x);
bool fp_isinf(double x);
bool fp_isfinite(double x);
 
 
}//namespace alglib
 
 
//
// THIS SECTIONS CONTAINS DECLARATIONS FOR OPTIMIZED LINEAR ALGEBRA CODES
// IT IS SHARED BETWEEN C++ AND PURE C LIBRARIES
//
 
namespace alglib_impl
{
#define ALGLIB_INTERCEPTS_ABLAS
void _ialglib_vzero(ae_int_t n, double *p, ae_int_t stride);
void _ialglib_vzero_complex(ae_int_t n, ae_complex *p, ae_int_t stride);
void _ialglib_vcopy(ae_int_t n, const double *a, ae_int_t stridea, double *b, ae_int_t strideb);
void _ialglib_vcopy_complex(ae_int_t n, const ae_complex *a, ae_int_t stridea, double *b, ae_int_t strideb, const char *conj);
void _ialglib_vcopy_dcomplex(ae_int_t n, const double *a, ae_int_t stridea, double *b, ae_int_t strideb, const char *conj);
void _ialglib_mcopyblock(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, ae_int_t stride, double *b);
void _ialglib_mcopyunblock(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, double *b, ae_int_t stride);
void _ialglib_mcopyblock_complex(ae_int_t m, ae_int_t n, const ae_complex *a, ae_int_t op, ae_int_t stride, double *b);
void _ialglib_mcopyunblock_complex(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, ae_complex* b, ae_int_t stride);
 
ae_bool _ialglib_i_rmatrixgemmf(ae_int_t m,
     ae_int_t n,
     ae_int_t k,
     double alpha,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_int_t optypea,
     ae_matrix *b,
     ae_int_t ib,
     ae_int_t jb,
     ae_int_t optypeb,
     double beta,
     ae_matrix *c,
     ae_int_t ic,
     ae_int_t jc);
ae_bool _ialglib_i_cmatrixgemmf(ae_int_t m,
     ae_int_t n,
     ae_int_t k,
     ae_complex alpha,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_int_t optypea,
     ae_matrix *b,
     ae_int_t ib,
     ae_int_t jb,
     ae_int_t optypeb,
     ae_complex beta,
     ae_matrix *c,
     ae_int_t ic,
     ae_int_t jc);
ae_bool _ialglib_i_cmatrixrighttrsmf(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t i1,
     ae_int_t j1,
     ae_bool isupper,
     ae_bool isunit,
     ae_int_t optype,
     ae_matrix *x,
     ae_int_t i2,
     ae_int_t j2);
ae_bool _ialglib_i_rmatrixrighttrsmf(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t i1,
     ae_int_t j1,
     ae_bool isupper,
     ae_bool isunit,
     ae_int_t optype,
     ae_matrix *x,
     ae_int_t i2,
     ae_int_t j2);
ae_bool _ialglib_i_cmatrixlefttrsmf(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t i1,
     ae_int_t j1,
     ae_bool isupper,
     ae_bool isunit,
     ae_int_t optype,
     ae_matrix *x,
     ae_int_t i2,
     ae_int_t j2);
ae_bool _ialglib_i_rmatrixlefttrsmf(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t i1,
     ae_int_t j1,
     ae_bool isupper,
     ae_bool isunit,
     ae_int_t optype,
     ae_matrix *x,
     ae_int_t i2,
     ae_int_t j2);
ae_bool _ialglib_i_cmatrixherkf(ae_int_t n,
     ae_int_t k,
     double alpha,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_int_t optypea,
     double beta,
     ae_matrix *c,
     ae_int_t ic,
     ae_int_t jc,
     ae_bool isupper);
ae_bool _ialglib_i_rmatrixsyrkf(ae_int_t n,
     ae_int_t k,
     double alpha,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_int_t optypea,
     double beta,
     ae_matrix *c,
     ae_int_t ic,
     ae_int_t jc,
     ae_bool isupper);
ae_bool _ialglib_i_cmatrixrank1f(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_vector *u,
     ae_int_t uoffs,
     ae_vector *v,
     ae_int_t voffs);
ae_bool _ialglib_i_rmatrixrank1f(ae_int_t m,
     ae_int_t n,
     ae_matrix *a,
     ae_int_t ia,
     ae_int_t ja,
     ae_vector *u,
     ae_int_t uoffs,
     ae_vector *v,
     ae_int_t voffs);
 
 
 
}
 
 
//
// THIS SECTION CONTAINS PARALLEL SUBROUTINES
//
 
namespace alglib_impl
{
 
}
 
 
#endif