LCOV - code coverage report
Current view: top level - synthesis/MeasurementEquations/lbfgs - ap.cc (source / functions) Hit Total Coverage
Test: casacpp_coverage.info Lines: 45 4426 1.0 %
Date: 2024-10-10 15:00:01 Functions: 6 556 1.1 %

          Line data    Source code
       1             : /*************************************************************************
       2             : ALGLIB 3.17.0 (source code generated 2020-12-27)
       3             : Copyright (c) Sergey Bochkanov (ALGLIB project).
       4             : 
       5             : >>> SOURCE LICENSE >>>
       6             : This program is free software; you can redistribute it and/or modify
       7             : it under the terms of the GNU General Public License as published by
       8             : the Free Software Foundation (www.fsf.org); either version 2 of the 
       9             : License, or (at your option) any later version.
      10             : 
      11             : This program is distributed in the hope that it will be useful,
      12             : but WITHOUT ANY WARRANTY; without even the implied warranty of
      13             : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
      14             : GNU General Public License for more details.
      15             : 
      16             : A copy of the GNU General Public License is available at
      17             : http://www.fsf.org/licensing/licenses
      18             : >>> END OF LICENSE >>>
      19             : *************************************************************************/
      20             : #ifdef _MSC_VER
      21             : #define _CRT_SECURE_NO_WARNINGS
      22             : #endif
      23             : 
      24             : //
      25             : // if AE_OS==AE_LINUX (will be redefined to AE_POSIX in ap.h),
      26             : // set _GNU_SOURCE flag BEFORE any #includes to get affinity
      27             : // management functions
      28             : //
      29             : #if (AE_OS==AE_LINUX) && !defined(_GNU_SOURCE)
      30             : #define _GNU_SOURCE
      31             : #endif
      32             : 
      33             : #include "stdafx.h"
      34             : #include "ap.h"
      35             : #include <limits>
      36             : #include <locale.h>
      37             : #include <ctype.h>
      38             : 
      39             : #if defined(AE_CPU)
      40             : #if (AE_CPU==AE_INTEL)
      41             : 
      42             : #if AE_COMPILER==AE_MSVC
      43             : #include <intrin.h>
      44             : #endif
      45             : 
      46             : #endif
      47             : #endif
      48             : 
      49             : // disable some irrelevant warnings
      50             : #if (AE_COMPILER==AE_MSVC) && !defined(AE_ALL_WARNINGS)
      51             : #pragma warning(disable:4100)
      52             : #pragma warning(disable:4127)
      53             : #pragma warning(disable:4611)
      54             : #pragma warning(disable:4702)
      55             : #pragma warning(disable:4996)
      56             : #endif
      57             : 
      58             : /////////////////////////////////////////////////////////////////////////
      59             : //
      60             : // THIS SECTION IMPLEMENTS BASIC FUNCTIONALITY LIKE
      61             : // MEMORY MANAGEMENT FOR VECTORS/MATRICES WHICH IS
      62             : // SHARED BETWEEN C++ AND PURE C LIBRARIES
      63             : //
      64             : /////////////////////////////////////////////////////////////////////////
      65             : namespace alglib_impl
      66             : {
      67             : /*
      68             :  * OS-specific includes
      69             :  */
      70             : #ifdef AE_USE_CPP
      71             : }
      72             : #endif
      73             : #if AE_OS==AE_WINDOWS || defined(AE_DEBUG4WINDOWS)
      74             : #ifndef _WIN32_WINNT
      75             : #define _WIN32_WINNT 0x0501
      76             : #endif
      77             : #include <windows.h>
      78             : #include <process.h>
      79             : #elif AE_OS==AE_POSIX || defined(AE_DEBUG4POSIX)
      80             : #include <time.h>
      81             : #include <unistd.h>
      82             : #include <pthread.h>
      83             : #include <sched.h>
      84             : #include <sys/time.h>
      85             : #endif
      86             : /* Debugging helpers for Windows */
      87             : #ifdef AE_DEBUG4WINDOWS
      88             : #include <windows.h>
      89             : #include <stdio.h>
      90             : #endif
      91             : #ifdef AE_USE_CPP
      92             : namespace alglib_impl
      93             : {
      94             : #endif
      95             : 
      96             : /*
      97             :  * local definitions
      98             :  */
      99             : #define x_nb 16
     100             : #define AE_DATA_ALIGN 64
     101             : #define AE_PTR_ALIGN sizeof(void*)
     102             : #define DYN_BOTTOM ((void*)1)
     103             : #define DYN_FRAME  ((void*)2)
     104             : #define AE_LITTLE_ENDIAN 1
     105             : #define AE_BIG_ENDIAN 2
     106             : #define AE_MIXED_ENDIAN 3
     107             : #define AE_SER_ENTRY_LENGTH 11
     108             : #define AE_SER_ENTRIES_PER_ROW 5
     109             : 
     110             : #define AE_SM_DEFAULT 0
     111             : #define AE_SM_ALLOC 1
     112             : #define AE_SM_READY2S 2
     113             : #define AE_SM_TO_STRING    10
     114             : #define AE_SM_TO_CPPSTRING 11
     115             : #define AE_SM_TO_STREAM    12
     116             : #define AE_SM_FROM_STRING  20
     117             : #define AE_SM_FROM_STREAM  22
     118             : 
     119             : #define AE_LOCK_CYCLES 512
     120             : #define AE_LOCK_TESTS_BEFORE_YIELD 16
     121             : #define AE_CRITICAL_ASSERT(x) if( !(x) ) abort()
     122             : 
     123             : /* IDs for set_dbg_value */
     124             : #define _ALGLIB_USE_ALLOC_COUNTER             0
     125             : #define _ALGLIB_USE_DBG_COUNTERS              1
     126             : #define _ALGLIB_USE_VENDOR_KERNELS          100
     127             : #define _ALGLIB_VENDOR_MEMSTAT              101
     128             : 
     129             : #define _ALGLIB_DEBUG_WORKSTEALING          200
     130             : #define _ALGLIB_WSDBG_NCORES                201
     131             : #define _ALGLIB_WSDBG_PUSHROOT_OK           202
     132             : #define _ALGLIB_WSDBG_PUSHROOT_FAILED       203
     133             : 
     134             : #define _ALGLIB_SET_GLOBAL_THREADING       1001
     135             : #define _ALGLIB_SET_NWORKERS               1002
     136             : 
     137             : /* IDs for get_dbg_value */
     138             : #define _ALGLIB_GET_ALLOC_COUNTER             0
     139             : #define _ALGLIB_GET_CUMULATIVE_ALLOC_SIZE     1
     140             : #define _ALGLIB_GET_CUMULATIVE_ALLOC_COUNT    2
     141             : 
     142             : #define _ALGLIB_GET_CORES_COUNT            1000
     143             : #define _ALGLIB_GET_GLOBAL_THREADING       1001
     144             : #define _ALGLIB_GET_NWORKERS               1002
     145             : 
     146             : /*************************************************************************
     147             : Lock.
     148             : 
     149             : This is internal structure which implements lock functionality.
     150             : *************************************************************************/
     151             : typedef struct
     152             : {
     153             : #if AE_OS==AE_WINDOWS
     154             :     volatile ae_int_t * volatile p_lock;
     155             :     char buf[sizeof(ae_int_t)+AE_LOCK_ALIGNMENT];
     156             : #elif AE_OS==AE_POSIX
     157             :     pthread_mutex_t mutex;
     158             : #else
     159             :     ae_bool is_locked;
     160             : #endif
     161             : } _lock;
     162             : 
     163             : 
     164             : 
     165             : 
     166             : /*
     167             :  * Error tracking facilities; this fields are modified every time ae_set_error_flag()
     168             :  * is called with non-zero cond. Thread unsafe access, but it does not matter actually.
     169             :  */
     170             : static const char * sef_file  = "";
     171             : static int          sef_line  = 0;
     172             : static const char * sef_xdesc = "";
     173             : 
     174             : /*
     175             :  * Global flags, split into several char-sized variables in order
     176             :  * to avoid problem with non-atomic reads/writes (single-byte ops
     177             :  * are atomic on all modern architectures);
     178             :  *
     179             :  * Following variables are included:
     180             :  * * threading-related settings
     181             :  */
     182             : unsigned char _alglib_global_threading_flags = _ALGLIB_FLG_THREADING_SERIAL>>_ALGLIB_FLG_THREADING_SHIFT;
     183             : 
     184             : /*
     185             :  * DESCRIPTION: recommended number of active workers:
     186             :  *              * positive value >=1 is used to specify exact number of active workers
     187             :  *              * 0 means that ALL available cores are used
     188             :  *              * negative value means that all cores EXCEPT for cores_to_use will be used
     189             :  *                (say, -1 means that all cores except for one will be used). At least one
     190             :  *                core will be used in this case, even if you assign -9999999 to this field.
     191             :  *
     192             :  *              Default value =  0 (fully parallel execution) when AE_NWORKERS is not defined
     193             :  *                            =  0 for manually defined number of cores (AE_NWORKERS is defined)
     194             :  * PROTECTION:  not needed; runtime modification is possible, but we do not need exact
     195             :  *              synchronization.
     196             :  */
     197             : #if defined(AE_NWORKERS) && (AE_NWORKERS<=0)
     198             : #error AE_NWORKERS must be positive number or not defined at all.
     199             : #endif
     200             : #if defined(AE_NWORKERS)
     201             : ae_int_t _alglib_cores_to_use = 0;
     202             : #else
     203             : ae_int_t _alglib_cores_to_use = 0;
     204             : #endif
     205             : 
     206             : /*
     207             :  * Debug counters
     208             :  */
     209             : ae_int_t   _alloc_counter = 0;
     210             : ae_int_t   _alloc_counter_total = 0;
     211             : ae_bool    _use_alloc_counter = ae_false;
     212             : 
     213             : ae_int_t   _dbg_alloc_total = 0;
     214             : ae_bool    _use_dbg_counters  = ae_false;
     215             : 
     216             : ae_bool    _use_vendor_kernels          = ae_true;
     217             : 
     218             : ae_bool    debug_workstealing           = ae_false; /* debug workstealing environment? False by default */
     219             : ae_int_t   dbgws_pushroot_ok            = 0;
     220             : ae_int_t   dbgws_pushroot_failed        = 0;
     221             : 
     222             : #ifdef AE_SMP_DEBUGCOUNTERS
     223             : __declspec(align(AE_LOCK_ALIGNMENT)) volatile ae_int64_t _ae_dbg_lock_acquisitions = 0;
     224             : __declspec(align(AE_LOCK_ALIGNMENT)) volatile ae_int64_t _ae_dbg_lock_spinwaits = 0;
     225             : __declspec(align(AE_LOCK_ALIGNMENT)) volatile ae_int64_t _ae_dbg_lock_yields = 0;
     226             : #endif
     227             : 
     228             : /*
     229             :  * Allocation debugging
     230             :  */
     231             : ae_bool     _force_malloc_failure = ae_false;
     232             : ae_int_t    _malloc_failure_after = 0;
     233             : 
     234             : 
     235             : /*
     236             :  * Trace-related declarations:
     237             :  * alglib_trace_type    -   trace output type
     238             :  * alglib_trace_file    -   file descriptor (to be used by ALGLIB code which
     239             :  *                          sends messages to trace log
     240             :  * alglib_fclose_trace  -   whether we have to call fclose() when disabling or
     241             :  *                          changing trace output
     242             :  * alglib_trace_tags    -   string buffer used to store tags + two additional
     243             :  *                          characters (leading and trailing commas) + null
     244             :  *                          terminator
     245             :  */
     246             : #define ALGLIB_TRACE_NONE 0
     247             : #define ALGLIB_TRACE_FILE 1
     248             : #define ALGLIB_TRACE_TAGS_LEN 2048
     249             : #define ALGLIB_TRACE_BUFFER_LEN (ALGLIB_TRACE_TAGS_LEN+2+1)
     250             : static ae_int_t  alglib_trace_type = ALGLIB_TRACE_NONE;
     251             : FILE            *alglib_trace_file = NULL;
     252             : static ae_bool   alglib_fclose_trace = ae_false;
     253             : static char      alglib_trace_tags[ALGLIB_TRACE_BUFFER_LEN];
     254             : 
     255             : /*
     256             :  * Fields for memory allocation over static array
     257             :  */
     258             : #if AE_MALLOC==AE_BASIC_STATIC_MALLOC
     259             : #if AE_THREADING!=AE_SERIAL_UNSAFE
     260             : #error Basis static malloc is thread-unsafe; define AE_THREADING=AE_SERIAL_UNSAFE to prove that you know it
     261             : #endif
     262             : static ae_int_t         sm_page_size = 0;
     263             : static ae_int_t         sm_page_cnt  = 0;
     264             : static ae_int_t         *sm_page_tbl = NULL;
     265             : static unsigned char    *sm_mem      = NULL;
     266             : #endif
     267             : 
     268             : /*
     269             :  * These declarations are used to ensure that
     270             :  * sizeof(ae_bool)=1, sizeof(ae_int32_t)==4, sizeof(ae_int64_t)==8, sizeof(ae_int_t)==sizeof(void*).
     271             :  * they will lead to syntax error otherwise (array size will be negative).
     272             :  *
     273             :  * you can remove them, if you want - they are not used anywhere.
     274             :  *
     275             :  */
     276             : static char     _ae_bool_must_be_8_bits_wide [1-2*((int)(sizeof(ae_bool))-1)*((int)(sizeof(ae_bool))-1)];
     277             : static char  _ae_int32_t_must_be_32_bits_wide[1-2*((int)(sizeof(ae_int32_t))-4)*((int)(sizeof(ae_int32_t))-4)];
     278             : static char  _ae_int64_t_must_be_64_bits_wide[1-2*((int)(sizeof(ae_int64_t))-8)*((int)(sizeof(ae_int64_t))-8)];
     279             : static char _ae_uint64_t_must_be_64_bits_wide[1-2*((int)(sizeof(ae_uint64_t))-8)*((int)(sizeof(ae_uint64_t))-8)];
     280             : static char  _ae_int_t_must_be_pointer_sized [1-2*((int)(sizeof(ae_int_t))-(int)sizeof(void*))*((int)(sizeof(ae_int_t))-(int)(sizeof(void*)))];  
     281             : 
     282             : /*
     283             :  * This variable is used to prevent some tricky optimizations which may degrade multithreaded performance.
     284             :  * It is touched once in the ae_init_pool() function from smp.c in order to prevent optimizations.
     285             :  *
     286             :  */
     287             : static volatile ae_int_t ae_never_change_it = 1;
     288             : 
     289             : /*************************************************************************
     290             : This function should never  be  called.  It is  here  to  prevent spurious
     291             : compiler warnings about unused variables (in fact: used).
     292             : *************************************************************************/
     293           0 : void ae_never_call_it()
     294             : {
     295           0 :     ae_touch_ptr((void*)_ae_bool_must_be_8_bits_wide);
     296           0 :     ae_touch_ptr((void*)_ae_int32_t_must_be_32_bits_wide);
     297           0 :     ae_touch_ptr((void*)_ae_int64_t_must_be_64_bits_wide);
     298           0 :     ae_touch_ptr((void*)_ae_uint64_t_must_be_64_bits_wide);
     299           0 :     ae_touch_ptr((void*)_ae_int_t_must_be_pointer_sized);
     300           0 : }
     301             : 
     302           0 : void ae_set_dbg_flag(ae_int64_t flag_id, ae_int64_t flag_val)
     303             : {
     304           0 :     if( flag_id==_ALGLIB_USE_ALLOC_COUNTER )
     305             :     {
     306           0 :         _use_alloc_counter = flag_val!=0;
     307           0 :         return;
     308             :     }
     309           0 :     if( flag_id==_ALGLIB_USE_DBG_COUNTERS )
     310             :     {
     311           0 :         _use_dbg_counters  = flag_val!=0;
     312           0 :         return;
     313             :     }
     314           0 :     if( flag_id==_ALGLIB_USE_VENDOR_KERNELS )
     315             :     {
     316           0 :         _use_vendor_kernels = flag_val!=0;
     317           0 :         return;
     318             :     }
     319           0 :     if( flag_id==_ALGLIB_DEBUG_WORKSTEALING )
     320             :     {
     321           0 :         debug_workstealing = flag_val!=0;
     322           0 :         return;
     323             :     }
     324           0 :     if( flag_id==_ALGLIB_SET_GLOBAL_THREADING )
     325             :     {
     326           0 :         ae_set_global_threading((ae_uint64_t)flag_val);
     327           0 :         return;
     328             :     }
     329           0 :     if( flag_id==_ALGLIB_SET_NWORKERS )
     330             :     {
     331           0 :         _alglib_cores_to_use = (ae_int_t)flag_val;
     332           0 :         return;
     333             :     }
     334             : }
     335             : 
     336           0 : ae_int64_t ae_get_dbg_value(ae_int64_t id)
     337             : {
     338           0 :     if( id==_ALGLIB_GET_ALLOC_COUNTER )
     339           0 :         return _alloc_counter;
     340           0 :     if( id==_ALGLIB_GET_CUMULATIVE_ALLOC_SIZE )
     341           0 :         return _dbg_alloc_total;
     342           0 :     if( id==_ALGLIB_GET_CUMULATIVE_ALLOC_COUNT )
     343           0 :         return _alloc_counter_total;
     344             :     
     345           0 :     if( id==_ALGLIB_VENDOR_MEMSTAT )
     346             :     {
     347             : #if defined(AE_MKL)
     348             :         return ae_mkl_memstat();
     349             : #else
     350           0 :         return 0;
     351             : #endif
     352             :     }
     353             :     
     354             :     /* workstealing counters */
     355           0 :     if( id==_ALGLIB_WSDBG_NCORES )
     356             : #if defined(AE_SMP)
     357             :         return ae_cores_count();
     358             : #else
     359           0 :         return 0;
     360             : #endif
     361           0 :     if( id==_ALGLIB_WSDBG_PUSHROOT_OK )
     362           0 :         return dbgws_pushroot_ok;
     363           0 :     if( id==_ALGLIB_WSDBG_PUSHROOT_FAILED )
     364           0 :         return dbgws_pushroot_failed;
     365             :     
     366           0 :     if( id==_ALGLIB_GET_CORES_COUNT )
     367             : #if defined(AE_SMP)
     368             :         return ae_cores_count();
     369             : #else
     370           0 :         return 0;
     371             : #endif
     372           0 :     if( id==_ALGLIB_GET_GLOBAL_THREADING )
     373           0 :         return (ae_int64_t)ae_get_global_threading();
     374           0 :     if( id==_ALGLIB_GET_NWORKERS )
     375           0 :         return (ae_int64_t)_alglib_cores_to_use;
     376             :     
     377             :     /* unknown value */
     378           0 :     return 0;
     379             : }
     380             : 
     381             : /************************************************************************
     382             : This function sets default (global) threading model:
     383             : * serial execution
     384             : * multithreading, if cores_to_use allows it
     385             : 
     386             : ************************************************************************/
     387           0 : void ae_set_global_threading(ae_uint64_t flg_value)
     388             : {
     389           0 :     flg_value = flg_value&_ALGLIB_FLG_THREADING_MASK;
     390           0 :     AE_CRITICAL_ASSERT(flg_value==_ALGLIB_FLG_THREADING_SERIAL || flg_value==_ALGLIB_FLG_THREADING_PARALLEL);
     391           0 :     _alglib_global_threading_flags = (unsigned char)(flg_value>>_ALGLIB_FLG_THREADING_SHIFT);
     392           0 : }
     393             : 
     394             : /************************************************************************
     395             : This function gets default (global) threading model:
     396             : * serial execution
     397             : * multithreading, if cores_to_use allows it
     398             : 
     399             : ************************************************************************/
     400           0 : ae_uint64_t ae_get_global_threading()
     401             : {
     402           0 :     return ((ae_uint64_t)_alglib_global_threading_flags)<<_ALGLIB_FLG_THREADING_SHIFT;
     403             : }
     404             : 
     405           0 : void ae_set_error_flag(ae_bool *p_flag, ae_bool cond, const char *filename, int lineno, const char *xdesc)
     406             : {
     407           0 :     if( cond )
     408             :     {
     409           0 :         *p_flag = ae_true;
     410           0 :         sef_file = filename;
     411           0 :         sef_line = lineno;
     412           0 :         sef_xdesc= xdesc;
     413             : #ifdef ALGLIB_ABORT_ON_ERROR_FLAG
     414             :         printf("[ALGLIB] aborting on ae_set_error_flag(cond=true)\n");
     415             :         printf("[ALGLIB] %s:%d\n", filename, lineno);
     416             :         printf("[ALGLIB] %s\n", xdesc);
     417             :         fflush(stdout);
     418             :         if( alglib_trace_file!=NULL ) fflush(alglib_trace_file);
     419             :         abort();
     420             : #endif
     421             :     }
     422           0 : }
     423             : 
     424             : /************************************************************************
     425             : This function returns file name for the last call of ae_set_error_flag()
     426             : with non-zero cond parameter.
     427             : ************************************************************************/
     428           0 : const char * ae_get_last_error_file()
     429             : {
     430           0 :     return sef_file;
     431             : }
     432             : 
     433             : /************************************************************************
     434             : This function returns line number for the last call of ae_set_error_flag()
     435             : with non-zero cond parameter.
     436             : ************************************************************************/
     437           0 : int ae_get_last_error_line()
     438             : {
     439           0 :     return sef_line;
     440             : }
     441             : 
     442             : /************************************************************************
     443             : This function returns extra description for the last call of ae_set_error_flag()
     444             : with non-zero cond parameter.
     445             : ************************************************************************/
     446           0 : const char * ae_get_last_error_xdesc()
     447             : {
     448           0 :     return sef_xdesc;
     449             : }
     450             : 
     451           0 : ae_int_t ae_misalignment(const void *ptr, size_t alignment)
     452             : {
     453             :     union _u
     454             :     {
     455             :         const void *ptr;
     456             :         ae_int_t iptr;
     457             :     } u;
     458           0 :     u.ptr = ptr;
     459           0 :     return (ae_int_t)(u.iptr%alignment);
     460             : }
     461             : 
     462           0 : void* ae_align(void *ptr, size_t alignment)
     463             : {
     464           0 :     char *result = (char*)ptr;
     465           0 :     if( (result-(char*)0)%alignment!=0 )
     466           0 :         result += alignment - (result-(char*)0)%alignment;
     467           0 :     return result;
     468             : }
     469             : 
     470             : /************************************************************************
     471             : This function maps nworkers  number  (which  can  be  positive,  zero  or
     472             : negative with 0 meaning "all cores", -1 meaning "all cores -1" and so on)
     473             : to "effective", strictly positive workers count.
     474             : 
     475             : This  function  is  intended  to  be used by debugging/testing code which
     476             : tests different number of worker threads. It is NOT aligned  in  any  way
     477             : with ALGLIB multithreading framework (i.e. it can return  non-zero worker
     478             : count even for single-threaded GPLed ALGLIB).
     479             : ************************************************************************/
     480           0 : ae_int_t ae_get_effective_workers(ae_int_t nworkers)
     481             : {
     482             :     ae_int_t ncores;
     483             :     
     484             :     /* determine cores count */
     485             : #if defined(AE_NWORKERS)
     486             :     ncores = AE_NWORKERS;
     487             : #elif AE_OS==AE_WINDOWS
     488             :     SYSTEM_INFO sysInfo;
     489             :     GetSystemInfo(&sysInfo);
     490             :     ncores = (ae_int_t)(sysInfo.dwNumberOfProcessors);
     491             : #elif AE_OS==AE_POSIX
     492             :     {
     493             :         long r = sysconf(_SC_NPROCESSORS_ONLN);
     494             :         ncores = r<=0 ? 1 : r;
     495             :     }
     496             : #else
     497           0 :     ncores = 1;
     498             : #endif
     499           0 :     AE_CRITICAL_ASSERT(ncores>=1);
     500             : 
     501             :     /* map nworkers to its effective value */
     502           0 :     if( nworkers>=1 )
     503           0 :         return nworkers>ncores ? ncores : nworkers;
     504           0 :     return ncores+nworkers>=1 ? ncores+nworkers : 1;
     505             : }
     506             : 
     507             : /*************************************************************************
     508             : This function belongs to the family of  "optional  atomics",  i.e.  atomic
     509             : functions which either perform atomic changes - or do nothing at  all,  if
     510             : current compiler settings do not allow us to generate atomic code.
     511             : 
     512             : All "optional atomics" are synchronized, i.e. either all of them work - or
     513             : no one of the works.
     514             : 
     515             : This particular function performs atomic addition on pointer-sized  value,
     516             : which must be pointer-size aligned.
     517             : 
     518             : NOTE: this function is not intended to be extremely high performance  one,
     519             :       so use it only when necessary.
     520             : *************************************************************************/
     521           0 : void  ae_optional_atomic_add_i(ae_int_t *p, ae_int_t v)
     522             : {
     523           0 :     AE_CRITICAL_ASSERT(ae_misalignment(p,sizeof(void*))==0);
     524             : #if AE_OS==AE_WINDOWS
     525             :     for(;;)
     526             :     {
     527             :         /* perform conversion between ae_int_t* and void**
     528             :            without compiler warnings about indirection levels */
     529             :         union _u
     530             :         {
     531             :             PVOID volatile * volatile ptr;
     532             :             volatile ae_int_t * volatile iptr;
     533             :         } u;
     534             :         u.iptr = p;
     535             :     
     536             :         /* atomic read for initial value */
     537             :         PVOID v0 = InterlockedCompareExchangePointer(u.ptr, NULL, NULL);
     538             :     
     539             :         /* increment cached value and store */
     540             :         if( InterlockedCompareExchangePointer(u.ptr, (PVOID)(((char*)v0)+v), v0)==v0 )
     541             :             break;
     542             :     }
     543             : #elif (AE_COMPILER==AE_GNUC) && (AE_CPU==AE_INTEL) && (__GNUC__*100+__GNUC__>=470)
     544             :     __atomic_add_fetch(p, v, __ATOMIC_RELAXED);
     545             : #else
     546             : #endif
     547           0 : }
     548             : 
     549             : /*************************************************************************
     550             : This function belongs to the family of  "optional  atomics",  i.e.  atomic
     551             : functions which either perform atomic changes - or do nothing at  all,  if
     552             : current compiler settings do not allow us to generate atomic code.
     553             : 
     554             : All "optional atomics" are synchronized, i.e. either all of them work - or
     555             : no one of the works.
     556             : 
     557             : This  particular  function  performs  atomic  subtraction on pointer-sized
     558             : value, which must be pointer-size aligned.
     559             : 
     560             : NOTE: this function is not intended to be extremely high performance  one,
     561             :       so use it only when necessary.
     562             : *************************************************************************/
     563           0 : void  ae_optional_atomic_sub_i(ae_int_t *p, ae_int_t v)
     564             : {
     565           0 :     AE_CRITICAL_ASSERT(ae_misalignment(p,sizeof(void*))==0);
     566             : #if AE_OS==AE_WINDOWS
     567             :     for(;;)
     568             :     {
     569             :         /* perform conversion between ae_int_t* and void**
     570             :            without compiler warnings about indirection levels */
     571             :         union _u
     572             :         {
     573             :             PVOID volatile * volatile ptr;
     574             :             volatile ae_int_t * volatile iptr;
     575             :         } u;
     576             :         u.iptr = p;
     577             :         
     578             :         /* atomic read for initial value, convert it to 1-byte pointer */
     579             :         PVOID v0 = InterlockedCompareExchangePointer(u.ptr, NULL, NULL);
     580             :     
     581             :         /* increment cached value and store */
     582             :         if( InterlockedCompareExchangePointer(u.ptr, (PVOID)(((char*)v0)-v), v0)==v0 )
     583             :             break;
     584             :     }
     585             : #elif (AE_COMPILER==AE_GNUC) && (AE_CPU==AE_INTEL) && (__GNUC__*100+__GNUC__>=470)
     586             :     __atomic_sub_fetch(p, v, __ATOMIC_RELAXED);
     587             : #else
     588             : #endif
     589           0 : }
     590             : 
     591             : 
     592             : /*************************************************************************
     593             : This function cleans up automatically managed memory before caller terminates
     594             : ALGLIB executing by ae_break() or by simply stopping calling callback.
     595             : 
     596             : For state!=NULL it calls thread_exception_handler() and the ae_state_clear().
     597             : For state==NULL it does nothing.
     598             : *************************************************************************/
     599           0 : void ae_clean_up_before_breaking(ae_state *state)
     600             : {
     601           0 :     if( state!=NULL )
     602             :     {
     603           0 :         if( state->thread_exception_handler!=NULL )
     604           0 :             state->thread_exception_handler(state);
     605           0 :         ae_state_clear(state);
     606             :     }
     607           0 : }
     608             : 
     609             : /*************************************************************************
     610             : This function abnormally aborts program, using one of several ways:
     611             : 
     612             : * for state!=NULL and state->break_jump being initialized with  call  to
     613             :   ae_state_set_break_jump() - it performs longjmp() to return site.
     614             : * otherwise, abort() is called
     615             :   
     616             : In   all  cases,  for  state!=NULL  function  sets  state->last_error  and
     617             : state->error_msg fields. It also clears state with ae_state_clear().
     618             :   
     619             : If state is not NULL and state->thread_exception_handler  is  set,  it  is
     620             : called prior to handling error and clearing state.
     621             : *************************************************************************/
     622           0 : void ae_break(ae_state *state, ae_error_type error_type, const char *msg)
     623             : {
     624           0 :     if( state!=NULL )
     625             :     {
     626           0 :         if( alglib_trace_type!=ALGLIB_TRACE_NONE )
     627           0 :             ae_trace("---!!! CRITICAL ERROR !!!--- exception with message '%s' was generated\n", msg!=NULL ? msg : "");
     628           0 :         ae_clean_up_before_breaking(state);
     629           0 :         state->last_error = error_type;
     630           0 :         state->error_msg = msg;
     631           0 :         if( state->break_jump!=NULL )
     632           0 :             longjmp(*(state->break_jump), 1);
     633             :         else
     634           0 :             abort();
     635             :     }
     636             :     else
     637           0 :         abort();
     638             : }
     639             : 
     640             : #if AE_MALLOC==AE_BASIC_STATIC_MALLOC
     641             : void set_memory_pool(void *ptr, size_t size)
     642             : {
     643             :     /*
     644             :      * Integrity checks
     645             :      */
     646             :     AE_CRITICAL_ASSERT(sm_page_size==0);
     647             :     AE_CRITICAL_ASSERT(sm_page_cnt==0);
     648             :     AE_CRITICAL_ASSERT(sm_page_tbl==NULL);
     649             :     AE_CRITICAL_ASSERT(sm_mem==NULL);
     650             :     AE_CRITICAL_ASSERT(size>0);
     651             :     
     652             :     /*
     653             :      * Align pointer
     654             :      */
     655             :     size -= ae_misalignment(ptr, sizeof(ae_int_t));
     656             :     ptr   = ae_align(ptr, sizeof(ae_int_t));
     657             :     
     658             :     /*
     659             :      * Calculate page size and page count, prepare pointers to page table and memory
     660             :      */
     661             :     sm_page_size = 256;
     662             :     AE_CRITICAL_ASSERT(size>=(sm_page_size+sizeof(ae_int_t))+sm_page_size); /* we expect to have memory for at least one page + table entry + alignment */
     663             :     sm_page_cnt = (size-sm_page_size)/(sm_page_size+sizeof(ae_int_t));
     664             :     AE_CRITICAL_ASSERT(sm_page_cnt>0);
     665             :     sm_page_tbl = (ae_int_t*)ptr;
     666             :     sm_mem      = (unsigned char*)ae_align(sm_page_tbl+sm_page_cnt, sm_page_size);
     667             :     
     668             :     /*
     669             :      * Mark all pages as free
     670             :      */
     671             :     memset(sm_page_tbl, 0, sm_page_cnt*sizeof(ae_int_t));
     672             : }
     673             : 
     674             : void* ae_static_malloc(size_t size, size_t alignment)
     675             : {
     676             :     int rq_pages, i, j, cur_len;
     677             :     
     678             :     AE_CRITICAL_ASSERT(size>=0);
     679             :     AE_CRITICAL_ASSERT(sm_page_size>0);
     680             :     AE_CRITICAL_ASSERT(sm_page_cnt>0);
     681             :     AE_CRITICAL_ASSERT(sm_page_tbl!=NULL);
     682             :     AE_CRITICAL_ASSERT(sm_mem!=NULL);
     683             :     
     684             :     if( size==0 )
     685             :         return NULL;
     686             :     if( _force_malloc_failure )
     687             :         return NULL;
     688             :     
     689             :     /* check that page alignment and requested alignment match each other */
     690             :     AE_CRITICAL_ASSERT(alignment<=sm_page_size);
     691             :     AE_CRITICAL_ASSERT((sm_page_size%alignment)==0);
     692             :     
     693             :     /* search long enough sequence of pages */
     694             :     rq_pages = size/sm_page_size;
     695             :     if( size%sm_page_size )
     696             :         rq_pages++;
     697             :     cur_len = 0;
     698             :     for(i=0; i<sm_page_cnt;)
     699             :     {
     700             :         /* determine length of the sequence of free pages */
     701             :         if( sm_page_tbl[i]==0 )
     702             :             cur_len++;
     703             :         else
     704             :         {
     705             :             AE_CRITICAL_ASSERT(sm_page_tbl[i]>0);
     706             :             cur_len=0;
     707             :             i += sm_page_tbl[i];
     708             :             continue;
     709             :         }
     710             :         
     711             :         /* found it? */
     712             :         if( cur_len>=rq_pages )
     713             :         {
     714             :             /* update counters (if flag is set) */
     715             :             if( _use_alloc_counter )
     716             :             {
     717             :                 ae_optional_atomic_add_i(&_alloc_counter, 1);
     718             :                 ae_optional_atomic_add_i(&_alloc_counter_total, 1);
     719             :             }
     720             :             if( _use_dbg_counters )
     721             :                 ae_optional_atomic_add_i(&_dbg_alloc_total, size);
     722             :             
     723             :             /* mark pages and return */
     724             :             for(j=0; j<rq_pages; j++)
     725             :                 sm_page_tbl[i-j] = -1;
     726             :             sm_page_tbl[i-(rq_pages-1)] = rq_pages;
     727             :             return sm_mem+(i-(rq_pages-1))*sm_page_size;
     728             :         }
     729             :         
     730             :         /* next element */
     731             :         i++;
     732             :     }
     733             :     return NULL;
     734             : }
     735             : 
     736             : void ae_static_free(void *block)
     737             : {
     738             :     ae_int_t page_idx, page_cnt, i;
     739             :     if( block==NULL )
     740             :         return;
     741             :     page_idx = (unsigned char*)block-sm_mem;
     742             :     AE_CRITICAL_ASSERT(page_idx>=0);
     743             :     AE_CRITICAL_ASSERT((page_idx%sm_page_size)==0);
     744             :     page_idx = page_idx/sm_page_size;
     745             :     AE_CRITICAL_ASSERT(page_idx<sm_page_cnt);
     746             :     page_cnt = sm_page_tbl[page_idx];
     747             :     AE_CRITICAL_ASSERT(page_cnt>=1);
     748             :     for(i=0; i<page_cnt; i++)
     749             :         sm_page_tbl[page_idx+i] = 0;
     750             :     
     751             :     /* update counters (if flag is set) */
     752             :     if( _use_alloc_counter )
     753             :         ae_optional_atomic_sub_i(&_alloc_counter, 1);
     754             : }
     755             : 
     756             : void memory_pool_stats(ae_int_t *bytes_used, ae_int_t *bytes_free)
     757             : {
     758             :     int i;
     759             :     
     760             :     AE_CRITICAL_ASSERT(sm_page_size>0);
     761             :     AE_CRITICAL_ASSERT(sm_page_cnt>0);
     762             :     AE_CRITICAL_ASSERT(sm_page_tbl!=NULL);
     763             :     AE_CRITICAL_ASSERT(sm_mem!=NULL);
     764             :     
     765             :     /* scan page table */
     766             :     *bytes_used = 0;
     767             :     *bytes_free = 0;
     768             :     for(i=0; i<sm_page_cnt;)
     769             :     {
     770             :         if( sm_page_tbl[i]==0 )
     771             :         {
     772             :             (*bytes_free)++;
     773             :             i++;
     774             :         }
     775             :         else
     776             :         {
     777             :             AE_CRITICAL_ASSERT(sm_page_tbl[i]>0);
     778             :             *bytes_used += sm_page_tbl[i];
     779             :             i += sm_page_tbl[i];
     780             :         }
     781             :     }
     782             :     *bytes_used *= sm_page_size;
     783             :     *bytes_free *= sm_page_size;
     784             : }
     785             : #endif
     786             : 
     787           0 : void* aligned_malloc(size_t size, size_t alignment)
     788             : {
     789             : #if AE_MALLOC==AE_BASIC_STATIC_MALLOC
     790             :     return ae_static_malloc(size, alignment);
     791             : #else
     792           0 :     char *result = NULL;
     793             :     
     794           0 :     if( size==0 )
     795           0 :         return NULL;
     796           0 :     if( _force_malloc_failure )
     797           0 :         return NULL;
     798           0 :     if( _malloc_failure_after>0 && _alloc_counter_total>=_malloc_failure_after )
     799           0 :         return NULL;
     800             :     
     801             :     /* allocate */
     802           0 :     if( alignment<=1 )
     803             :     {
     804             :         /* no alignment, just call alloc */
     805             :         void *block;
     806             :         void **p; ;
     807           0 :         block = malloc(sizeof(void*)+size);
     808           0 :         if( block==NULL )
     809           0 :             return NULL;
     810           0 :         p = (void**)block;
     811           0 :         *p = block;
     812           0 :         result = (char*)((char*)block+sizeof(void*));
     813             :     }
     814             :     else
     815             :     {
     816             :         /* align */
     817             :         void *block;
     818           0 :         block = malloc(alignment-1+sizeof(void*)+size);
     819           0 :         if( block==NULL )
     820           0 :             return NULL;
     821           0 :         result = (char*)block+sizeof(void*);
     822             :         /*if( (result-(char*)0)%alignment!=0 )
     823             :             result += alignment - (result-(char*)0)%alignment;*/
     824           0 :         result = (char*)ae_align(result, alignment);
     825           0 :         *((void**)(result-sizeof(void*))) = block;
     826             :     }
     827             :     
     828             :     /* update counters (if flag is set) */
     829           0 :     if( _use_alloc_counter )
     830             :     {
     831           0 :         ae_optional_atomic_add_i(&_alloc_counter, 1);
     832           0 :         ae_optional_atomic_add_i(&_alloc_counter_total, 1);
     833             :     }
     834           0 :     if( _use_dbg_counters )
     835           0 :         ae_optional_atomic_add_i(&_dbg_alloc_total, (ae_int64_t)size);
     836             :     
     837             :     /* return */
     838           0 :     return (void*)result;
     839             : #endif
     840             : }
     841             : 
     842           0 : void* aligned_extract_ptr(void *block)
     843             : {
     844             : #if AE_MALLOC==AE_BASIC_STATIC_MALLOC
     845             :     return NULL;
     846             : #else
     847           0 :     if( block==NULL )
     848           0 :         return NULL;
     849           0 :     return *((void**)((char*)block-sizeof(void*)));
     850             : #endif
     851             : }
     852             : 
     853           0 : void aligned_free(void *block)
     854             : {
     855             : #if AE_MALLOC==AE_BASIC_STATIC_MALLOC
     856             :     ae_static_free(block);
     857             : #else
     858             :     void *p;
     859           0 :     if( block==NULL )
     860           0 :         return;
     861           0 :     p = aligned_extract_ptr(block);
     862           0 :     free(p);
     863           0 :     if( _use_alloc_counter )
     864           0 :         ae_optional_atomic_sub_i(&_alloc_counter, 1);
     865             : #endif
     866             : }
     867             : 
     868           0 : void* eternal_malloc(size_t size)
     869             : {
     870           0 :     if( size==0 )
     871           0 :         return NULL;
     872           0 :     if( _force_malloc_failure )
     873           0 :         return NULL;
     874           0 :     return malloc(size);
     875             : }
     876             : 
     877             : /************************************************************************
     878             : Allocate memory with automatic alignment.
     879             : 
     880             : Returns NULL when zero size is specified.
     881             : 
     882             : Error handling:
     883             : * if state is NULL, returns NULL on allocation error
     884             : * if state is not NULL, calls ae_break() on allocation error
     885             : ************************************************************************/
     886           0 : void* ae_malloc(size_t size, ae_state *state)
     887             : {
     888             :     void *result;
     889           0 :     if( size==0 )
     890           0 :         return NULL;
     891           0 :     result = aligned_malloc(size,AE_DATA_ALIGN);
     892           0 :     if( result==NULL && state!=NULL)
     893           0 :         ae_break(state, ERR_OUT_OF_MEMORY, "ae_malloc(): out of memory");
     894           0 :     return result;
     895             : }
     896             : 
     897           0 : void ae_free(void *p)
     898             : {
     899           0 :     if( p!=NULL )
     900           0 :         aligned_free(p);
     901           0 : }
     902             : 
     903             : /************************************************************************
     904             : Sets pointers to the matrix rows.
     905             : 
     906             : * dst must be correctly initialized matrix
     907             : * dst->data.ptr points to the beginning of memory block  allocated  for  
     908             :   row pointers.
     909             : * dst->ptr - undefined (initialized during algorithm processing)
     910             : * storage parameter points to the beginning of actual storage
     911             : ************************************************************************/
     912           0 : void ae_matrix_update_row_pointers(ae_matrix *dst, void *storage)
     913             : {
     914             :     char *p_base;
     915             :     void **pp_ptr;
     916             :     ae_int_t i;
     917           0 :     if( dst->rows>0 && dst->cols>0 )
     918             :     {
     919           0 :         p_base = (char*)storage;
     920           0 :         pp_ptr = (void**)dst->data.ptr;
     921           0 :         dst->ptr.pp_void = pp_ptr;
     922           0 :         for(i=0; i<dst->rows; i++, p_base+=dst->stride*ae_sizeof(dst->datatype))
     923           0 :             pp_ptr[i] = p_base;
     924             :     }
     925             :     else
     926           0 :         dst->ptr.pp_void = NULL;
     927           0 : }
     928             : 
     929             : /************************************************************************
     930             : Returns size of datatype.
     931             : Zero for dynamic types like strings or multiple precision types.
     932             : ************************************************************************/
     933           0 : ae_int_t ae_sizeof(ae_datatype datatype)
     934             : {
     935           0 :     switch(datatype)
     936             :     {
     937           0 :         case DT_BOOL:       return (ae_int_t)sizeof(ae_bool);
     938           0 :         case DT_INT:        return (ae_int_t)sizeof(ae_int_t);
     939           0 :         case DT_REAL:       return (ae_int_t)sizeof(double);
     940           0 :         case DT_COMPLEX:    return 2*(ae_int_t)sizeof(double);
     941           0 :         default:            return 0;
     942             :     }
     943             : }
     944             : 
     945             : /************************************************************************
     946             : Checks that n bytes pointed by ptr are zero.
     947             : 
     948             : This function is used in the constructors to check that  instance  fields
     949             : on entry are correctly initialized by zeros.
     950             : ************************************************************************/
     951           0 : ae_bool ae_check_zeros(const void *ptr, ae_int_t n)
     952             : {
     953             :     ae_int_t nu, nr, i;
     954           0 :     unsigned long long c = 0x0;
     955             :     
     956             :     /*
     957             :      * determine leading and trailing lengths
     958             :      */
     959           0 :     nu = n/sizeof(unsigned long long);
     960           0 :     nr = n%sizeof(unsigned long long);
     961             :     
     962             :     /*
     963             :      * handle leading nu long long elements
     964             :      */
     965           0 :     if( nu>0 )
     966             :     {
     967             :         const unsigned long long *p_ull;
     968           0 :         p_ull = (const unsigned long long *)ptr;
     969           0 :         for(i=0; i<nu; i++)
     970           0 :             c |= p_ull[i];
     971             :     }
     972             :     
     973             :     /*
     974             :      * handle trailing nr char elements
     975             :      */
     976           0 :     if( nr>0 )
     977             :     {
     978             :         const unsigned char *p_uc;
     979           0 :         p_uc  = ((const unsigned char *)ptr)+nu*sizeof(unsigned long long);
     980           0 :         for(i=0; i<nr; i++)
     981           0 :             c |= p_uc[i];
     982             :     }
     983             :     
     984             :     /*
     985             :      * done
     986             :      */
     987           0 :     return c==0x0;
     988             : }
     989             : 
     990             : 
     991             : /************************************************************************
     992             : This  dummy  function  is  used to prevent compiler messages about unused
     993             : locals in automatically generated code.
     994             : 
     995             : It makes nothing - just accepts pointer, "touches" it - and that is  all.
     996             : It performs several tricky operations without side effects which  confuse
     997             : compiler so it does not compain about unused locals in THIS function.
     998             : ************************************************************************/
     999           0 : void ae_touch_ptr(void *p)
    1000             : {
    1001           0 :     void * volatile fake_variable0 = p;
    1002           0 :     void * volatile fake_variable1 = fake_variable0;
    1003           0 :     fake_variable0 = fake_variable1;
    1004           0 : }
    1005             : 
    1006             : /************************************************************************
    1007             : This function initializes ALGLIB environment state.
    1008             : 
    1009             : NOTES:
    1010             : * stacks contain no frames, so ae_make_frame() must be called before
    1011             :   attaching dynamic blocks. Without it ae_leave_frame() will cycle
    1012             :   forever (which is intended behavior).
    1013             : ************************************************************************/
    1014          15 : void ae_state_init(ae_state *state)
    1015             : {
    1016             :     ae_int32_t *vp;
    1017             :     
    1018             :     /*
    1019             :      * Set flags
    1020             :      */
    1021          15 :     state->flags = 0x0;
    1022             : 
    1023             :     /*
    1024             :      * p_next points to itself because:
    1025             :      * * correct program should be able to detect end of the list
    1026             :      *   by looking at the ptr field.
    1027             :      * * NULL p_next may be used to distinguish automatic blocks
    1028             :      *   (in the list) from non-automatic (not in the list)
    1029             :      */
    1030          15 :     state->last_block.p_next = &(state->last_block);
    1031          15 :     state->last_block.deallocator = NULL;
    1032          15 :     state->last_block.ptr = DYN_BOTTOM;
    1033          15 :     state->p_top_block = &(state->last_block);
    1034          15 :     state->break_jump = NULL;
    1035          15 :     state->error_msg = "";
    1036             :     
    1037             :     /*
    1038             :      * determine endianness and initialize precomputed IEEE special quantities.
    1039             :      */
    1040          15 :     state->endianness = ae_get_endianness();
    1041          15 :     if( state->endianness==AE_LITTLE_ENDIAN )
    1042             :     {
    1043          15 :         vp = (ae_int32_t*)(&state->v_nan);
    1044          15 :         vp[0] = 0;
    1045          15 :         vp[1] = (ae_int32_t)0x7FF80000;
    1046          15 :         vp = (ae_int32_t*)(&state->v_posinf);
    1047          15 :         vp[0] = 0;
    1048          15 :         vp[1] = (ae_int32_t)0x7FF00000;
    1049          15 :         vp = (ae_int32_t*)(&state->v_neginf);
    1050          15 :         vp[0] = 0;
    1051          15 :         vp[1] = (ae_int32_t)0xFFF00000;
    1052             :     }
    1053           0 :     else if( state->endianness==AE_BIG_ENDIAN )
    1054             :     {
    1055           0 :         vp = (ae_int32_t*)(&state->v_nan);
    1056           0 :         vp[1] = 0;
    1057           0 :         vp[0] = (ae_int32_t)0x7FF80000;
    1058           0 :         vp = (ae_int32_t*)(&state->v_posinf);
    1059           0 :         vp[1] = 0;
    1060           0 :         vp[0] = (ae_int32_t)0x7FF00000;
    1061           0 :         vp = (ae_int32_t*)(&state->v_neginf);
    1062           0 :         vp[1] = 0;
    1063           0 :         vp[0] = (ae_int32_t)0xFFF00000;
    1064             :     }
    1065             :     else
    1066           0 :         abort();
    1067             :     
    1068             :     /*
    1069             :      * set threading information
    1070             :      */
    1071          15 :     state->worker_thread = NULL;
    1072          15 :     state->parent_task = NULL;
    1073          15 :     state->thread_exception_handler = NULL;
    1074          15 : }
    1075             : 
    1076             : 
    1077             : /************************************************************************
    1078             : This function clears ALGLIB environment state.
    1079             : All dynamic data controlled by state are freed.
    1080             : ************************************************************************/
    1081          15 : void ae_state_clear(ae_state *state)
    1082             : {
    1083          15 :     while( state->p_top_block->ptr!=DYN_BOTTOM )
    1084           0 :         ae_frame_leave(state);
    1085          15 : }
    1086             : 
    1087             : 
    1088             : /************************************************************************
    1089             : This function sets jump buffer for error handling.
    1090             : 
    1091             : buf may be NULL.
    1092             : ************************************************************************/
    1093           0 : void ae_state_set_break_jump(ae_state *state, jmp_buf *buf)
    1094             : {
    1095           0 :     state->break_jump = buf;
    1096           0 : }
    1097             : 
    1098             : 
    1099             : /************************************************************************
    1100             : This function sets flags member of the ae_state structure
    1101             : 
    1102             : buf may be NULL.
    1103             : ************************************************************************/
    1104           0 : void ae_state_set_flags(ae_state *state, ae_uint64_t flags)
    1105             : {
    1106           0 :     state->flags = flags;
    1107           0 : }
    1108             : 
    1109             : 
    1110             : /************************************************************************
    1111             : This function makes new stack frame.
    1112             : 
    1113             : This function takes two parameters: environment state and pointer to  the
    1114             : dynamic block which will be used as indicator  of  the  frame  beginning.
    1115             : This dynamic block must be initialized by caller and mustn't  be changed/
    1116             : deallocated/reused till ae_leave_frame called. It may be global or  local
    1117             : variable (local is even better).
    1118             : ************************************************************************/
    1119           0 : void ae_frame_make(ae_state *state, ae_frame *tmp)
    1120             : {
    1121           0 :     tmp->db_marker.p_next = state->p_top_block;
    1122           0 :     tmp->db_marker.deallocator = NULL;
    1123           0 :     tmp->db_marker.ptr = DYN_FRAME;
    1124           0 :     state->p_top_block = &tmp->db_marker;
    1125           0 : }
    1126             : 
    1127             : 
    1128             : /************************************************************************
    1129             : This function leaves current stack frame and deallocates all automatic
    1130             : dynamic blocks which were attached to this frame.
    1131             : ************************************************************************/
    1132           0 : void ae_frame_leave(ae_state *state)
    1133             : {
    1134           0 :     while( state->p_top_block->ptr!=DYN_FRAME && state->p_top_block->ptr!=DYN_BOTTOM)
    1135             :     {
    1136           0 :         if( state->p_top_block->ptr!=NULL && state->p_top_block->deallocator!=NULL)
    1137           0 :             ((ae_deallocator)(state->p_top_block->deallocator))(state->p_top_block->ptr);
    1138           0 :         state->p_top_block = state->p_top_block->p_next;
    1139             :     }
    1140           0 :     state->p_top_block = state->p_top_block->p_next;
    1141           0 : }
    1142             : 
    1143             : 
    1144             : /************************************************************************
    1145             : This function attaches block to the dynamic block list
    1146             : 
    1147             : block               block
    1148             : state               ALGLIB environment state
    1149             : 
    1150             : This function does NOT generate exceptions.
    1151             : 
    1152             : NOTES:
    1153             : * never call it for special blocks which marks frame boundaries!
    1154             : ************************************************************************/
    1155           0 : void ae_db_attach(ae_dyn_block *block, ae_state *state)
    1156             : {
    1157           0 :     block->p_next = state->p_top_block;
    1158           0 :     state->p_top_block = block;
    1159           0 : }
    1160             : 
    1161             : 
    1162             : /************************************************************************
    1163             : This function initializes dynamic block:
    1164             : 
    1165             : block               destination block, MUST be zero-filled on entry
    1166             : size                size (in bytes), >=0.
    1167             : state               ALGLIB environment state, non-NULL
    1168             : make_automatic      if true, vector is added to the dynamic block list
    1169             : 
    1170             : block is assumed to be uninitialized, its fields are ignored. You may
    1171             : call this function with zero size in order to register block in the
    1172             : dynamic list.
    1173             : 
    1174             : Error handling: calls ae_break() on allocation error. Block is left in
    1175             : valid state (empty, but valid).
    1176             : 
    1177             : NOTES:
    1178             : * never call it for blocks which are already in the list; use ae_db_realloc
    1179             :   for already allocated blocks.
    1180             : 
    1181             : NOTE: no memory allocation is performed for initialization with size=0
    1182             : ************************************************************************/
    1183           0 : void ae_db_init(ae_dyn_block *block, ae_int_t size, ae_state *state, ae_bool make_automatic)
    1184             : {
    1185           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1186           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(block,sizeof(*block)));
    1187             :     
    1188             :     /*
    1189             :      * NOTE: these strange dances around block->ptr are necessary
    1190             :      *       in order to correctly handle possible exceptions during
    1191             :      *       memory allocation.
    1192             :      */
    1193           0 :     ae_assert(size>=0, "ae_db_init(): negative size", state);
    1194           0 :     block->ptr = NULL;
    1195           0 :     block->valgrind_hint = NULL;
    1196           0 :     ae_touch_ptr(block->ptr);
    1197           0 :     ae_touch_ptr(block->valgrind_hint);
    1198           0 :     if( make_automatic )
    1199           0 :         ae_db_attach(block, state);
    1200             :     else
    1201           0 :         block->p_next = NULL;
    1202           0 :     if( size!=0 )
    1203             :     {
    1204           0 :         block->ptr = ae_malloc((size_t)size, state);
    1205           0 :         block->valgrind_hint = aligned_extract_ptr(block->ptr);
    1206             :     }
    1207           0 :     block->deallocator = ae_free;
    1208           0 : }
    1209             : 
    1210             : 
    1211             : /************************************************************************
    1212             : This function realloc's dynamic block:
    1213             : 
    1214             : block               destination block (initialized)
    1215             : size                new size (in bytes)
    1216             : state               ALGLIB environment state
    1217             : 
    1218             : block is assumed to be initialized.
    1219             : 
    1220             : This function:
    1221             : * deletes old contents
    1222             : * preserves automatic state
    1223             : 
    1224             : Error handling: calls ae_break() on allocation error. Block is left in
    1225             : valid state - empty, but valid.
    1226             : 
    1227             : NOTES:
    1228             : * never call it for special blocks which mark frame boundaries!
    1229             : ************************************************************************/
    1230           0 : void ae_db_realloc(ae_dyn_block *block, ae_int_t size, ae_state *state)
    1231             : {
    1232           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1233             :     
    1234             :     /*
    1235             :      * NOTE: these strange dances around block->ptr are necessary
    1236             :      *       in order to correctly handle possible exceptions during
    1237             :      *       memory allocation.
    1238             :      */
    1239           0 :     ae_assert(size>=0, "ae_db_realloc(): negative size", state);
    1240           0 :     if( block->ptr!=NULL )
    1241             :     {
    1242           0 :         ((ae_deallocator)block->deallocator)(block->ptr);
    1243           0 :         block->ptr = NULL;
    1244           0 :         block->valgrind_hint = NULL;
    1245             :     }
    1246           0 :     block->ptr = ae_malloc((size_t)size, state);
    1247           0 :     block->valgrind_hint = aligned_extract_ptr(block->ptr);
    1248           0 :     block->deallocator = ae_free;
    1249           0 : }
    1250             : 
    1251             : 
    1252             : /************************************************************************
    1253             : This function clears dynamic block (releases  all  dynamically  allocated
    1254             : memory). Dynamic block may be in automatic management list - in this case
    1255             : it will NOT be removed from list.
    1256             : 
    1257             : block               destination block (initialized)
    1258             : 
    1259             : NOTES:
    1260             : * never call it for special blocks which marks frame boundaries!
    1261             : ************************************************************************/
    1262           0 : void ae_db_free(ae_dyn_block *block)
    1263             : {
    1264           0 :     if( block->ptr!=NULL )
    1265           0 :         ((ae_deallocator)block->deallocator)(block->ptr);
    1266           0 :     block->ptr = NULL;
    1267           0 :     block->valgrind_hint = NULL;
    1268           0 :     block->deallocator = ae_free;
    1269           0 : }
    1270             : 
    1271             : /************************************************************************
    1272             : This function swaps contents of two dynamic blocks (pointers and 
    1273             : deallocators) leaving other parameters (automatic management settings, 
    1274             : etc.) unchanged.
    1275             : 
    1276             : NOTES:
    1277             : * never call it for special blocks which marks frame boundaries!
    1278             : ************************************************************************/
    1279           0 : void ae_db_swap(ae_dyn_block *block1, ae_dyn_block *block2)
    1280             : {
    1281           0 :     void (*deallocator)(void*) = NULL;
    1282             :     void * volatile ptr;
    1283             :     void * valgrind_hint;
    1284             :     
    1285           0 :     ptr = block1->ptr;
    1286           0 :     valgrind_hint = block1->valgrind_hint;
    1287           0 :     deallocator = block1->deallocator;
    1288             :     
    1289           0 :     block1->ptr = block2->ptr;
    1290           0 :     block1->valgrind_hint = block2->valgrind_hint;
    1291           0 :     block1->deallocator = block2->deallocator;
    1292             :     
    1293           0 :     block2->ptr = ptr;
    1294           0 :     block2->valgrind_hint = valgrind_hint;
    1295           0 :     block2->deallocator = deallocator;
    1296           0 : }
    1297             : 
    1298             : /*************************************************************************
    1299             : This function creates ae_vector.
    1300             : Vector size may be zero. Vector contents is uninitialized.
    1301             : 
    1302             : dst                 destination vector, MUST be zero-filled (we  check  it
    1303             :                     and call abort() if *dst is non-zero; the rationale is
    1304             :                     that we can not correctly handle errors in constructors
    1305             :                     without zero-filling).
    1306             : size                vector size, may be zero
    1307             : datatype            guess what...
    1308             : state               pointer to current state structure. Can not be NULL.
    1309             :                     used for exception handling (say, allocation error results
    1310             :                     in longjmp call).
    1311             : make_automatic      if true, vector will be registered in the current frame
    1312             :                     of the state structure;
    1313             : 
    1314             : NOTE: no memory allocation is performed for initialization with size=0
    1315             : *************************************************************************/
    1316           0 : void ae_vector_init(ae_vector *dst, ae_int_t size, ae_datatype datatype, ae_state *state, ae_bool make_automatic)
    1317             : {
    1318             :     /*
    1319             :      * Integrity checks
    1320             :      */
    1321           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1322           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    1323           0 :     ae_assert(size>=0, "ae_vector_init(): negative size", state);
    1324             :     
    1325             :     /* prepare for possible errors during allocation */
    1326           0 :     dst->cnt = 0;
    1327           0 :     dst->ptr.p_ptr = NULL;
    1328             :     
    1329             :     /* init */
    1330           0 :     ae_db_init(&dst->data, size*ae_sizeof(datatype), state, make_automatic);
    1331           0 :     dst->cnt = size;
    1332           0 :     dst->datatype = datatype;
    1333           0 :     dst->ptr.p_ptr = dst->data.ptr;
    1334           0 :     dst->is_attached = ae_false;
    1335           0 : }
    1336             : 
    1337             : 
    1338             : /************************************************************************
    1339             : This function creates copy of ae_vector. New copy of the data is created,
    1340             : which is managed and owned by newly initialized vector.
    1341             : 
    1342             : dst                 destination vector, MUST be zero-filled (we  check  it
    1343             :                     and call abort() if *dst is non-zero; the rationale is
    1344             :                     that we can not correctly handle errors in constructors
    1345             :                     without zero-filling).
    1346             : src                 well, it is source
    1347             : state               pointer to current state structure. Can not be NULL.
    1348             :                     used for exception handling (say, allocation error results
    1349             :                     in longjmp call).
    1350             : make_automatic      if true, vector will be registered in the current frame
    1351             :                     of the state structure;
    1352             : 
    1353             : dst is assumed to be uninitialized, its fields are ignored.
    1354             : ************************************************************************/
    1355           0 : void ae_vector_init_copy(ae_vector *dst, ae_vector *src, ae_state *state, ae_bool make_automatic)
    1356             : {
    1357           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1358             :     
    1359           0 :     ae_vector_init(dst, src->cnt, src->datatype, state, make_automatic);
    1360           0 :     if( src->cnt!=0 )
    1361           0 :         memmove(dst->ptr.p_ptr, src->ptr.p_ptr, (size_t)(src->cnt*ae_sizeof(src->datatype)));
    1362           0 : }
    1363             : 
    1364             : /************************************************************************
    1365             : This function initializes ae_vector using X-structure as source. New copy
    1366             : of data is created, which is owned/managed by ae_vector  structure.  Both
    1367             : structures (source and destination) remain completely  independent  after
    1368             : this call.
    1369             : 
    1370             : dst                 destination vector, MUST be zero-filled (we  check  it
    1371             :                     and call abort() if *dst is non-zero; the rationale is
    1372             :                     that we can not correctly handle errors in constructors
    1373             :                     without zero-filling).
    1374             : src                 well, it is source
    1375             : state               pointer to current state structure. Can not be NULL.
    1376             :                     used for exception handling (say, allocation error results
    1377             :                     in longjmp call).
    1378             : make_automatic      if true, vector will be registered in the current frame
    1379             :                     of the state structure;
    1380             : 
    1381             : dst is assumed to be uninitialized, its fields are ignored.
    1382             : ************************************************************************/
    1383           0 : void ae_vector_init_from_x(ae_vector *dst, x_vector *src, ae_state *state, ae_bool make_automatic)
    1384             : {
    1385           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1386             :     
    1387           0 :     ae_vector_init(dst, (ae_int_t)src->cnt, (ae_datatype)src->datatype, state, make_automatic);
    1388           0 :     if( src->cnt>0 )
    1389           0 :         memmove(dst->ptr.p_ptr, src->x_ptr.p_ptr, (size_t)(((ae_int_t)src->cnt)*ae_sizeof((ae_datatype)src->datatype)));
    1390           0 : }
    1391             : 
    1392             : /************************************************************************
    1393             : This function initializes ae_vector using X-structure as source.
    1394             : 
    1395             : New vector is attached to source:
    1396             : * DST shares memory with SRC
    1397             : * both DST and SRC are writable - all writes to DST  change  elements  of
    1398             :   SRC and vice versa.
    1399             : * DST can be reallocated with ae_vector_set_length(), in  this  case  SRC
    1400             :   remains untouched
    1401             : * SRC, however, CAN NOT BE REALLOCATED AS LONG AS DST EXISTS
    1402             : 
    1403             : NOTE: is_attached field is set  to  ae_true  in  order  to  indicate  that
    1404             :       vector does not own its memory.
    1405             : 
    1406             : dst                 destination vector
    1407             : src                 well, it is source
    1408             : state               pointer to current state structure. Can not be NULL.
    1409             :                     used for exception handling (say, allocation error results
    1410             :                     in longjmp call).
    1411             : make_automatic      if true, vector will be registered in the current frame
    1412             :                     of the state structure;
    1413             : 
    1414             : dst is assumed to be uninitialized, its fields are ignored.
    1415             : ************************************************************************/
    1416           0 : void ae_vector_init_attach_to_x(ae_vector *dst, x_vector *src, ae_state *state, ae_bool make_automatic)
    1417             : {
    1418             :     volatile ae_int_t cnt;
    1419             :     
    1420           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1421           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    1422             :     
    1423           0 :     cnt = (ae_int_t)src->cnt;
    1424             :     
    1425             :     /* ensure that size is correct */
    1426           0 :     ae_assert(cnt==src->cnt,  "ae_vector_init_attach_to_x(): 32/64 overflow", state);
    1427           0 :     ae_assert(cnt>=0,         "ae_vector_init_attach_to_x(): negative length", state);
    1428             :     
    1429             :     /* prepare for possible errors during allocation */
    1430           0 :     dst->cnt = 0;
    1431           0 :     dst->ptr.p_ptr = NULL;
    1432           0 :     dst->datatype = (ae_datatype)src->datatype;
    1433             :     
    1434             :     /* zero-size init in order to correctly register in the frame */
    1435           0 :     ae_db_init(&dst->data, 0, state, make_automatic);
    1436             :     
    1437             :     /* init */
    1438           0 :     dst->cnt = cnt;
    1439           0 :     dst->ptr.p_ptr = src->x_ptr.p_ptr;
    1440           0 :     dst->is_attached = ae_true;
    1441           0 : }
    1442             : 
    1443             : /************************************************************************
    1444             : This function changes length of ae_vector.
    1445             : 
    1446             : dst                 destination vector
    1447             : newsize             vector size, may be zero
    1448             : state               ALGLIB environment state, can not be NULL
    1449             : 
    1450             : Error handling: calls ae_break() on allocation error
    1451             : 
    1452             : NOTES:
    1453             : * vector must be initialized
    1454             : * all contents is destroyed during setlength() call
    1455             : * new size may be zero.
    1456             : ************************************************************************/
    1457           0 : void ae_vector_set_length(ae_vector *dst, ae_int_t newsize, ae_state *state)
    1458             : {
    1459           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1460           0 :     ae_assert(newsize>=0, "ae_vector_set_length(): negative size", state);
    1461           0 :     if( dst->cnt==newsize )
    1462           0 :         return;
    1463             :     
    1464             :     /* realloc, being ready for exception during reallocation (cnt=ptr=0 on entry) */
    1465           0 :     dst->cnt = 0;
    1466           0 :     dst->ptr.p_ptr = NULL;
    1467           0 :     ae_db_realloc(&dst->data, newsize*ae_sizeof(dst->datatype), state);
    1468           0 :     dst->cnt = newsize;
    1469           0 :     dst->ptr.p_ptr = dst->data.ptr;
    1470             : }
    1471             : 
    1472             : /************************************************************************
    1473             : This function resized ae_vector, preserving previously existing elements.
    1474             : Values of elements added during vector growth is undefined.
    1475             : 
    1476             : dst                 destination vector
    1477             : newsize             vector size, may be zero
    1478             : state               ALGLIB environment state, can not be NULL
    1479             : 
    1480             : Error handling: calls ae_break() on allocation error
    1481             : 
    1482             : NOTES:
    1483             : * vector must be initialized
    1484             : * new size may be zero.
    1485             : ************************************************************************/
    1486           0 : void ae_vector_resize(ae_vector *dst, ae_int_t newsize, ae_state *state)
    1487             : {
    1488             :     ae_vector tmp;
    1489             :     ae_int_t bytes_total;
    1490             :     
    1491           0 :     memset(&tmp, 0, sizeof(tmp));
    1492           0 :     ae_vector_init(&tmp, newsize, dst->datatype, state, ae_false);
    1493           0 :     bytes_total = (dst->cnt<newsize ? dst->cnt : newsize)*ae_sizeof(dst->datatype);
    1494           0 :     if( bytes_total>0 )
    1495           0 :         memmove(tmp.ptr.p_ptr, dst->ptr.p_ptr, bytes_total);
    1496           0 :     ae_swap_vectors(dst, &tmp);
    1497           0 :     ae_vector_clear(&tmp);
    1498           0 : }
    1499             : 
    1500             : 
    1501             : /************************************************************************
    1502             : This  function  provides  "CLEAR"  functionality  for vector (contents is
    1503             : cleared, but structure still left in valid state).
    1504             : 
    1505             : The  function clears vector contents (releases all dynamically  allocated
    1506             : memory). Vector may be in automatic management list  -  in this  case  it
    1507             : will NOT be removed from list.
    1508             : 
    1509             : IMPORTANT: this function does NOT invalidates dst; it just  releases  all
    1510             : dynamically allocated storage, but dst still may be used  after  call  to
    1511             : ae_vector_set_length().
    1512             : 
    1513             : dst                 destination vector
    1514             : ************************************************************************/
    1515           0 : void ae_vector_clear(ae_vector *dst)
    1516             : {
    1517           0 :     dst->cnt = 0;
    1518           0 :     ae_db_free(&dst->data);
    1519           0 :     dst->ptr.p_ptr = 0;
    1520           0 :     dst->is_attached = ae_false;
    1521           0 : }
    1522             : 
    1523             : 
    1524             : /************************************************************************
    1525             : This  function  provides "DESTROY"  functionality for vector (contents is
    1526             : cleared, all internal structures are destroyed). For vectors it  is  same
    1527             : as CLEAR.
    1528             : 
    1529             : dst                 destination vector
    1530             : ************************************************************************/
    1531           0 : void ae_vector_destroy(ae_vector *dst)
    1532             : {
    1533           0 :     ae_vector_clear(dst);
    1534           0 : }
    1535             : 
    1536             : 
    1537             : /************************************************************************
    1538             : This function efficiently swaps contents of two vectors, leaving other
    1539             : pararemeters (automatic management, etc.) unchanged.
    1540             : ************************************************************************/
    1541           0 : void ae_swap_vectors(ae_vector *vec1, ae_vector *vec2)
    1542             : {
    1543             :     ae_int_t cnt;
    1544             :     ae_datatype datatype;
    1545             :     void *p_ptr;
    1546             :     
    1547           0 :     ae_assert(!vec1->is_attached, "ALGLIB: internal error, attempt to swap vectors attached to X-object", NULL);
    1548           0 :     ae_assert(!vec2->is_attached, "ALGLIB: internal error, attempt to swap vectors attached to X-object", NULL);
    1549             :     
    1550           0 :     ae_db_swap(&vec1->data, &vec2->data);
    1551             :     
    1552           0 :     cnt = vec1->cnt;
    1553           0 :     datatype = vec1->datatype;
    1554           0 :     p_ptr = vec1->ptr.p_ptr;
    1555           0 :     vec1->cnt = vec2->cnt;
    1556           0 :     vec1->datatype = vec2->datatype;
    1557           0 :     vec1->ptr.p_ptr = vec2->ptr.p_ptr;
    1558           0 :     vec2->cnt = cnt;
    1559           0 :     vec2->datatype = datatype;
    1560           0 :     vec2->ptr.p_ptr = p_ptr;
    1561           0 : }
    1562             : 
    1563             : /************************************************************************
    1564             : This function creates ae_matrix.
    1565             : 
    1566             : Matrix size may be zero, in such cases both rows and cols are zero.
    1567             : Matrix contents is uninitialized.
    1568             : 
    1569             : dst                 destination matrix, must be zero-filled
    1570             : rows                rows count
    1571             : cols                cols count
    1572             : datatype            element type
    1573             : state               pointer to current state structure. Can not be NULL.
    1574             :                     used for exception handling (say, allocation error results
    1575             :                     in longjmp call).
    1576             : make_automatic      if true, matrix will be registered in the current frame
    1577             :                     of the state structure;
    1578             : 
    1579             : dst is assumed to be uninitialized, its fields are ignored.
    1580             : 
    1581             : NOTE: no memory allocation is performed for initialization with rows=cols=0
    1582             : ************************************************************************/
    1583           0 : 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)
    1584             : {
    1585           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1586           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    1587             :     
    1588           0 :     ae_assert(rows>=0 && cols>=0, "ae_matrix_init(): negative length", state);
    1589             : 
    1590             :     /* if one of rows/cols is zero, another MUST be too; perform quick exit */
    1591           0 :     if( rows==0 || cols==0 )
    1592             :     {
    1593           0 :         dst->rows = 0;
    1594           0 :         dst->cols = 0;
    1595           0 :         dst->is_attached = ae_false;
    1596           0 :         dst->ptr.pp_void = NULL;
    1597           0 :         dst->stride = 0;
    1598           0 :         dst->datatype = datatype;
    1599           0 :         ae_db_init(&dst->data, 0, state, make_automatic);
    1600           0 :         return;
    1601             :     }
    1602             : 
    1603             :     /* init, being ready for exception during allocation (rows=cols=ptr=NULL on entry) */
    1604           0 :     dst->is_attached = ae_false;
    1605           0 :     dst->rows = 0;
    1606           0 :     dst->cols = 0;
    1607           0 :     dst->ptr.pp_void = NULL;
    1608           0 :     dst->stride = cols;
    1609           0 :     while( dst->stride*ae_sizeof(datatype)%AE_DATA_ALIGN!=0 )
    1610           0 :         dst->stride++;
    1611           0 :     dst->datatype = datatype;
    1612           0 :     ae_db_init(&dst->data, rows*((ae_int_t)sizeof(void*)+dst->stride*ae_sizeof(datatype))+AE_DATA_ALIGN-1, state, make_automatic);
    1613           0 :     dst->rows = rows;
    1614           0 :     dst->cols = cols;
    1615           0 :     ae_matrix_update_row_pointers(dst, ae_align((char*)dst->data.ptr+rows*sizeof(void*),AE_DATA_ALIGN));
    1616             : }
    1617             : 
    1618             : 
    1619             : /************************************************************************
    1620             : This function creates copy of ae_matrix. A new copy of the data is created.
    1621             : 
    1622             : dst                 destination matrix, must be zero-filled
    1623             : src                 well, it is source
    1624             : state               pointer to current state structure. Can not be NULL.
    1625             :                     used for exception handling (say, allocation error results
    1626             :                     in longjmp call).
    1627             : make_automatic      if true, matrix will be registered in the current frame
    1628             :                     of the state structure;
    1629             : 
    1630             : dst is assumed to be uninitialized, its fields are ignored.
    1631             : ************************************************************************/
    1632           0 : void ae_matrix_init_copy(ae_matrix *dst, ae_matrix *src, ae_state *state, ae_bool make_automatic)
    1633             : {
    1634             :     ae_int_t i;
    1635           0 :     ae_matrix_init(dst, src->rows, src->cols, src->datatype, state, make_automatic);
    1636           0 :     if( src->rows!=0 && src->cols!=0 )
    1637             :     {
    1638           0 :         if( dst->stride==src->stride )
    1639           0 :             memmove(dst->ptr.pp_void[0], src->ptr.pp_void[0], (size_t)(src->rows*src->stride*ae_sizeof(src->datatype)));
    1640             :         else
    1641           0 :             for(i=0; i<dst->rows; i++)
    1642           0 :                 memmove(dst->ptr.pp_void[i], src->ptr.pp_void[i], (size_t)(dst->cols*ae_sizeof(dst->datatype)));
    1643             :     }
    1644           0 : }
    1645             : 
    1646             : 
    1647             : /************************************************************************
    1648             : This function initializes ae_matrix using X-structure as source. New copy
    1649             : of data is created, which is owned/managed by ae_matrix  structure.  Both
    1650             : structures (source and destination) remain completely  independent  after
    1651             : this call.
    1652             : 
    1653             : dst                 destination matrix, must be zero-filled
    1654             : src                 well, it is source
    1655             : state               pointer to current state structure. Can not be NULL.
    1656             :                     used for exception handling (say, allocation error results
    1657             :                     in longjmp call).
    1658             : make_automatic      if true, matrix will be registered in the current frame
    1659             :                     of the state structure;
    1660             : 
    1661             : dst is assumed to be uninitialized, its fields are ignored.
    1662             : ************************************************************************/
    1663           0 : void ae_matrix_init_from_x(ae_matrix *dst, x_matrix *src, ae_state *state, ae_bool make_automatic)
    1664             : {
    1665             :     char *p_src_row;
    1666             :     char *p_dst_row;
    1667             :     ae_int_t row_size;
    1668             :     ae_int_t i;
    1669           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1670           0 :     ae_matrix_init(dst, (ae_int_t)src->rows, (ae_int_t)src->cols, (ae_datatype)src->datatype, state, make_automatic);
    1671           0 :     if( src->rows!=0 && src->cols!=0 )
    1672             :     {
    1673           0 :         p_src_row = (char*)src->x_ptr.p_ptr;
    1674           0 :         p_dst_row = (char*)(dst->ptr.pp_void[0]);
    1675           0 :         row_size = ae_sizeof((ae_datatype)src->datatype)*(ae_int_t)src->cols;
    1676           0 :         for(i=0; i<src->rows; i++, p_src_row+=src->stride*ae_sizeof((ae_datatype)src->datatype), p_dst_row+=dst->stride*ae_sizeof((ae_datatype)src->datatype))
    1677           0 :             memmove(p_dst_row, p_src_row, (size_t)(row_size));
    1678             :     }
    1679           0 : }
    1680             : 
    1681             : 
    1682             : /************************************************************************
    1683             : This function initializes ae_matrix using X-structure as source.
    1684             : 
    1685             : New matrix is attached to source:
    1686             : * DST shares memory with SRC
    1687             : * both DST and SRC are writable - all writes to DST  change  elements  of
    1688             :   SRC and vice versa.
    1689             : * DST can be reallocated with ae_matrix_set_length(), in  this  case  SRC
    1690             :   remains untouched
    1691             : * SRC, however, CAN NOT BE REALLOCATED AS LONG AS DST EXISTS
    1692             : 
    1693             : dst                 destination matrix, must be zero-filled
    1694             : src                 well, it is source
    1695             : state               pointer to current state structure. Can not be NULL.
    1696             :                     used for exception handling (say, allocation error results
    1697             :                     in longjmp call).
    1698             : make_automatic      if true, matrix will be registered in the current frame
    1699             :                     of the state structure;
    1700             : 
    1701             : dst is assumed to be uninitialized, its fields are ignored.
    1702             : ************************************************************************/
    1703           0 : void ae_matrix_init_attach_to_x(ae_matrix *dst, x_matrix *src, ae_state *state, ae_bool make_automatic)
    1704             : {
    1705             :     ae_int_t rows, cols;
    1706             :     
    1707           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1708           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    1709             :     
    1710           0 :     rows = (ae_int_t)src->rows;
    1711           0 :     cols = (ae_int_t)src->cols;
    1712             :     
    1713             :     /* check that X-source is densely packed */
    1714           0 :     ae_assert(src->cols==src->stride, "ae_matrix_init_attach_to_x(): unsupported stride", state);
    1715             :     
    1716             :     /* ensure that size is correct */
    1717           0 :     ae_assert(rows==src->rows,      "ae_matrix_init_attach_to_x(): 32/64 overflow", state);
    1718           0 :     ae_assert(cols==src->cols,      "ae_matrix_init_attach_to_x(): 32/64 overflow", state);
    1719           0 :     ae_assert(rows>=0 && cols>=0,   "ae_matrix_init_attach_to_x(): negative length", state);
    1720             :     
    1721             :     /* if one of rows/cols is zero, another MUST be too */
    1722           0 :     if( rows==0 || cols==0 )
    1723             :     {
    1724           0 :         rows = 0;
    1725           0 :         cols = 0;
    1726             :     }
    1727             : 
    1728             :     /* init, being ready for allocation error */
    1729           0 :     dst->is_attached = ae_true;
    1730           0 :     dst->rows = 0;
    1731           0 :     dst->cols = 0;
    1732           0 :     dst->stride = cols;
    1733           0 :     dst->datatype = (ae_datatype)src->datatype;
    1734           0 :     dst->ptr.pp_void = NULL;
    1735           0 :     ae_db_init(&dst->data, rows*(ae_int_t)sizeof(void*), state, make_automatic);
    1736           0 :     dst->rows = rows;
    1737           0 :     dst->cols = cols;
    1738           0 :     if( dst->rows>0 && dst->cols>0 )
    1739             :     {
    1740             :         ae_int_t i, rowsize;
    1741             :         char *p_row;
    1742             :         void **pp_ptr;
    1743             :         
    1744           0 :         p_row = (char*)src->x_ptr.p_ptr;
    1745           0 :         rowsize = dst->stride*ae_sizeof(dst->datatype);
    1746           0 :         pp_ptr  = (void**)dst->data.ptr;
    1747           0 :         dst->ptr.pp_void = pp_ptr;
    1748           0 :         for(i=0; i<dst->rows; i++, p_row+=rowsize)
    1749           0 :             pp_ptr[i] = p_row;
    1750             :     }
    1751           0 : }
    1752             : 
    1753             : 
    1754             : /************************************************************************
    1755             : This function changes length of ae_matrix.
    1756             : 
    1757             : dst                 destination matrix
    1758             : rows                size, may be zero
    1759             : cols                size, may be zero
    1760             : state               ALGLIB environment state
    1761             : 
    1762             : Error handling:
    1763             : * if state is NULL, returns ae_false on allocation error
    1764             : * if state is not NULL, calls ae_break() on allocation error
    1765             : * returns ae_true on success
    1766             : 
    1767             : NOTES:
    1768             : * matrix must be initialized
    1769             : * all contents is destroyed during setlength() call
    1770             : * new size may be zero.
    1771             : ************************************************************************/
    1772           0 : void ae_matrix_set_length(ae_matrix *dst, ae_int_t rows, ae_int_t cols, ae_state *state)
    1773             : {
    1774           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1775           0 :     ae_assert(rows>=0 && cols>=0, "ae_matrix_set_length(): negative length", state);
    1776           0 :     if( dst->rows==rows && dst->cols==cols )
    1777           0 :         return;
    1778             :     
    1779             :     /* prepare stride */
    1780           0 :     dst->stride = cols;
    1781           0 :     while( dst->stride*ae_sizeof(dst->datatype)%AE_DATA_ALIGN!=0 )
    1782           0 :         dst->stride++;
    1783             :     
    1784             :     /* realloc, being ready for an exception during reallocation (rows=cols=0 on entry) */
    1785           0 :     dst->rows = 0;
    1786           0 :     dst->cols = 0;
    1787           0 :     dst->ptr.pp_void = NULL;
    1788           0 :     ae_db_realloc(&dst->data, rows*((ae_int_t)sizeof(void*)+dst->stride*ae_sizeof(dst->datatype))+AE_DATA_ALIGN-1, state);
    1789           0 :     dst->rows = rows;
    1790           0 :     dst->cols = cols;
    1791             :     
    1792             :     /* update pointers to rows */
    1793           0 :     ae_matrix_update_row_pointers(dst, ae_align((char*)dst->data.ptr+dst->rows*sizeof(void*),AE_DATA_ALIGN));
    1794             : }
    1795             : 
    1796             : 
    1797             : /************************************************************************
    1798             : This  function  provides  "CLEAR"  functionality  for vector (contents is
    1799             : cleared, but structure still left in valid state).
    1800             : 
    1801             : The  function clears matrix contents (releases all dynamically  allocated
    1802             : memory). Matrix may be in automatic management list  -  in this  case  it
    1803             : will NOT be removed from list.
    1804             : 
    1805             : IMPORTANT: this function does NOT invalidates dst; it just  releases  all
    1806             : dynamically allocated storage, but dst still may be used  after  call  to
    1807             : ae_matrix_set_length().
    1808             : 
    1809             : dst                 destination matrix
    1810             : ************************************************************************/
    1811           0 : void ae_matrix_clear(ae_matrix *dst)
    1812             : {
    1813           0 :     dst->rows = 0;
    1814           0 :     dst->cols = 0;
    1815           0 :     dst->stride = 0;
    1816           0 :     ae_db_free(&dst->data);
    1817           0 :     dst->ptr.p_ptr = 0;
    1818           0 :     dst->is_attached = ae_false;
    1819           0 : }
    1820             : 
    1821             : 
    1822             : /************************************************************************
    1823             : This  function  provides  "DESTROY" functionality for matrix (contents is
    1824             : cleared, but structure still left in valid state).
    1825             : 
    1826             : For matrices it is same as CLEAR.
    1827             : 
    1828             : dst                 destination matrix
    1829             : ************************************************************************/
    1830           0 : void ae_matrix_destroy(ae_matrix *dst)
    1831             : {
    1832           0 :     ae_matrix_clear(dst);
    1833           0 : }
    1834             : 
    1835             : 
    1836             : /************************************************************************
    1837             : This function efficiently swaps contents of two vectors, leaving other
    1838             : pararemeters (automatic management, etc.) unchanged.
    1839             : ************************************************************************/
    1840           0 : void ae_swap_matrices(ae_matrix *mat1, ae_matrix *mat2)
    1841             : {
    1842             :     ae_int_t rows;
    1843             :     ae_int_t cols;
    1844             :     ae_int_t stride;
    1845             :     ae_datatype datatype;
    1846             :     void *p_ptr;
    1847             : 
    1848           0 :     ae_assert(!mat1->is_attached, "ALGLIB: internal error, attempt to swap matrices attached to X-object", NULL);
    1849           0 :     ae_assert(!mat2->is_attached, "ALGLIB: internal error, attempt to swap matrices attached to X-object", NULL);
    1850             :     
    1851           0 :     ae_db_swap(&mat1->data, &mat2->data);
    1852             :     
    1853           0 :     rows = mat1->rows;
    1854           0 :     cols = mat1->cols;
    1855           0 :     stride = mat1->stride;
    1856           0 :     datatype = mat1->datatype;
    1857           0 :     p_ptr = mat1->ptr.p_ptr;
    1858             : 
    1859           0 :     mat1->rows = mat2->rows;
    1860           0 :     mat1->cols = mat2->cols;
    1861           0 :     mat1->stride = mat2->stride;
    1862           0 :     mat1->datatype = mat2->datatype;
    1863           0 :     mat1->ptr.p_ptr = mat2->ptr.p_ptr;
    1864             : 
    1865           0 :     mat2->rows = rows;
    1866           0 :     mat2->cols = cols;
    1867           0 :     mat2->stride = stride;
    1868           0 :     mat2->datatype = datatype;
    1869           0 :     mat2->ptr.p_ptr = p_ptr;
    1870           0 : }
    1871             : 
    1872             : 
    1873             : /************************************************************************
    1874             : This function creates smart pointer structure.
    1875             : 
    1876             : dst                 destination smart pointer, must be zero-filled
    1877             : subscriber          pointer to pointer which receives updates in the
    1878             :                     internal object stored in ae_smart_ptr. Any update to
    1879             :                     dst->ptr is translated to subscriber. Can be NULL.
    1880             : state               pointer to current state structure. Can not be NULL.
    1881             :                     used for exception handling (say, allocation error results
    1882             :                     in longjmp call).
    1883             : make_automatic      if true, pointer will be registered in the current frame
    1884             :                     of the state structure;
    1885             :                       
    1886             : Error handling:
    1887             : * on failure calls ae_break() with NULL state pointer. Usually it  results
    1888             :   in abort() call.
    1889             : 
    1890             : After initialization, smart pointer stores NULL pointer.
    1891             : ************************************************************************/
    1892           0 : void ae_smart_ptr_init(ae_smart_ptr *dst, void **subscriber, ae_state *state, ae_bool make_automatic)
    1893             : {
    1894           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    1895           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    1896           0 :     dst->subscriber = subscriber;
    1897           0 :     dst->ptr = NULL;
    1898           0 :     if( dst->subscriber!=NULL )
    1899           0 :         *(dst->subscriber) = dst->ptr;
    1900           0 :     dst->is_owner = ae_false;
    1901           0 :     dst->is_dynamic = ae_false;
    1902           0 :     dst->frame_entry.deallocator = ae_smart_ptr_destroy;
    1903           0 :     dst->frame_entry.ptr = dst;
    1904           0 :     if( make_automatic )
    1905           0 :         ae_db_attach(&dst->frame_entry, state);
    1906           0 : }
    1907             : 
    1908             : 
    1909             : /************************************************************************
    1910             : This function clears smart pointer structure.
    1911             : 
    1912             : dst                 destination smart pointer.
    1913             : 
    1914             : After call to this function smart pointer contains NULL reference,  which
    1915             : is  propagated  to  its  subscriber  (in  cases  non-NULL  subscruber was
    1916             : specified during pointer creation).
    1917             : ************************************************************************/
    1918           0 : void ae_smart_ptr_clear(void *_dst)
    1919             : {
    1920           0 :     ae_smart_ptr *dst = (ae_smart_ptr*)_dst;
    1921           0 :     if( dst->is_owner && dst->ptr!=NULL )
    1922             :     {
    1923           0 :         dst->destroy(dst->ptr);
    1924           0 :         if( dst->is_dynamic )
    1925           0 :             ae_free(dst->ptr);
    1926             :     }
    1927           0 :     dst->is_owner = ae_false;
    1928           0 :     dst->is_dynamic = ae_false;
    1929           0 :     dst->ptr = NULL;
    1930           0 :     dst->destroy = NULL;
    1931           0 :     if( dst->subscriber!=NULL )
    1932           0 :         *(dst->subscriber) = NULL;
    1933           0 : }
    1934             : 
    1935             : 
    1936             : /************************************************************************
    1937             : This function dstroys smart pointer structure (same as clearing it).
    1938             : 
    1939             : dst                 destination smart pointer.
    1940             : ************************************************************************/
    1941           0 : void ae_smart_ptr_destroy(void *_dst)
    1942             : {
    1943           0 :     ae_smart_ptr_clear(_dst);
    1944           0 : }
    1945             : 
    1946             : 
    1947             : /************************************************************************
    1948             : This function assigns pointer to ae_smart_ptr structure.
    1949             : 
    1950             : dst                 destination smart pointer.
    1951             : new_ptr             new pointer to assign
    1952             : is_owner            whether smart pointer owns new_ptr
    1953             : is_dynamic          whether object is dynamic - clearing such object
    1954             :                     requires BOTH calling destructor function AND calling
    1955             :                     ae_free() for memory occupied by object.
    1956             : destroy             destructor function
    1957             : 
    1958             : In case smart pointer already contains non-NULL value and owns this value,
    1959             : it is freed before assigning new pointer.
    1960             : 
    1961             : Changes in pointer are propagated to its  subscriber  (in  case  non-NULL
    1962             : subscriber was specified during pointer creation).
    1963             : 
    1964             : You can specify NULL new_ptr, in which case is_owner/destroy are ignored.
    1965             : ************************************************************************/
    1966           0 : void ae_smart_ptr_assign(ae_smart_ptr *dst, void *new_ptr, ae_bool is_owner, ae_bool is_dynamic, void (*destroy)(void*))
    1967             : {
    1968           0 :     if( dst->is_owner && dst->ptr!=NULL )
    1969             :     {
    1970           0 :         dst->destroy(dst->ptr);
    1971           0 :         if( dst->is_dynamic )
    1972           0 :             ae_free(dst->ptr);
    1973             :     }
    1974           0 :     if( new_ptr!=NULL )
    1975             :     {
    1976           0 :         dst->ptr = new_ptr;
    1977           0 :         dst->is_owner = is_owner;
    1978           0 :         dst->is_dynamic = is_dynamic;
    1979           0 :         dst->destroy = destroy;
    1980             :     }
    1981             :     else
    1982             :     {
    1983           0 :         dst->ptr = NULL;
    1984           0 :         dst->is_owner = ae_false;
    1985           0 :         dst->is_dynamic = ae_false;
    1986           0 :         dst->destroy = NULL;
    1987             :     }
    1988           0 :     if( dst->subscriber!=NULL )
    1989           0 :         *(dst->subscriber) = dst->ptr;
    1990           0 : }
    1991             : 
    1992             : 
    1993             : /************************************************************************
    1994             : This function releases pointer owned by ae_smart_ptr structure:
    1995             : * all internal fields are set to NULL
    1996             : * destructor function for internal pointer is NOT called even when we own
    1997             :   this pointer. After this call ae_smart_ptr releases  ownership  of  its
    1998             :   pointer and passes it to caller.
    1999             : * changes in pointer are propagated to its subscriber (in  case  non-NULL
    2000             :   subscriber was specified during pointer creation).
    2001             : 
    2002             : dst                 destination smart pointer.
    2003             : ************************************************************************/
    2004           0 : void ae_smart_ptr_release(ae_smart_ptr *dst)
    2005             : {
    2006           0 :     dst->is_owner = ae_false;
    2007           0 :     dst->is_dynamic = ae_false;
    2008           0 :     dst->ptr = NULL;
    2009           0 :     dst->destroy = NULL;
    2010           0 :     if( dst->subscriber!=NULL )
    2011           0 :         *(dst->subscriber) = NULL;
    2012           0 : }
    2013             : 
    2014             : /************************************************************************
    2015             : This function copies contents of ae_vector (SRC) to x_vector (DST).
    2016             : 
    2017             : This function should not be called for  DST  which  is  attached  to  SRC
    2018             : (opposite situation, when SRC is attached to DST, is possible).
    2019             : 
    2020             : Depending on situation, following actions are performed 
    2021             : * for SRC attached to DST, this function performs no actions (no need  to
    2022             :   do anything)
    2023             : * for independent vectors of different sizes it allocates storage in  DST
    2024             :   and copy contents of SRC  to  DST.  DST->last_action field  is  set  to
    2025             :   ACT_NEW_LOCATION, and DST->owner is set to OWN_AE.
    2026             : * for  independent  vectors   of  same  sizes  it does not perform memory
    2027             :   (re)allocation.  It  just  copies  SRC  to  already   existing   place.
    2028             :   DST->last_action   is   set   to    ACT_SAME_LOCATION  (unless  it  was
    2029             :   ACT_NEW_LOCATION), DST->owner is unmodified.
    2030             : 
    2031             : dst                 destination vector
    2032             : src                 source, vector in x-format
    2033             : state               ALGLIB environment state
    2034             : 
    2035             : NOTES:
    2036             : * dst is assumed to be initialized. Its contents is freed before  copying
    2037             :   data  from src  (if  size / type  are  different)  or  overwritten  (if
    2038             :   possible given destination size).
    2039             : ************************************************************************/
    2040           0 : void ae_x_set_vector(x_vector *dst, ae_vector *src, ae_state *state)
    2041             : {
    2042           0 :     if( src->ptr.p_ptr == dst->x_ptr.p_ptr )
    2043             :     {
    2044             :         /* src->ptr points to the beginning of dst, attached matrices, no need to copy */
    2045           0 :         return;
    2046             :     }
    2047           0 :     if( dst->cnt!=src->cnt || dst->datatype!=src->datatype )
    2048             :     {
    2049           0 :         if( dst->owner==OWN_AE )
    2050           0 :             ae_free(dst->x_ptr.p_ptr);
    2051           0 :         dst->x_ptr.p_ptr = ae_malloc((size_t)(src->cnt*ae_sizeof(src->datatype)), state);
    2052           0 :         if( src->cnt!=0 && dst->x_ptr.p_ptr==NULL )
    2053           0 :             ae_break(state, ERR_OUT_OF_MEMORY, "ae_malloc(): out of memory");
    2054           0 :         dst->last_action = ACT_NEW_LOCATION;
    2055           0 :         dst->cnt = src->cnt;
    2056           0 :         dst->datatype = src->datatype;
    2057           0 :         dst->owner = OWN_AE;
    2058             :     }
    2059             :     else
    2060             :     {
    2061           0 :         if( dst->last_action==ACT_UNCHANGED )
    2062           0 :             dst->last_action = ACT_SAME_LOCATION;
    2063           0 :         else if( dst->last_action==ACT_SAME_LOCATION )
    2064           0 :             dst->last_action = ACT_SAME_LOCATION;
    2065           0 :         else if( dst->last_action==ACT_NEW_LOCATION )
    2066           0 :             dst->last_action = ACT_NEW_LOCATION;
    2067             :         else
    2068           0 :             ae_assert(ae_false, "ALGLIB: internal error in ae_x_set_vector()", state);
    2069             :     }
    2070           0 :     if( src->cnt )
    2071           0 :         memmove(dst->x_ptr.p_ptr, src->ptr.p_ptr, (size_t)(src->cnt*ae_sizeof(src->datatype)));
    2072             : }
    2073             : 
    2074             : /************************************************************************
    2075             : This function copies contents of ae_matrix to x_matrix.
    2076             : 
    2077             : This function should not be called for  DST  which  is  attached  to  SRC
    2078             : (opposite situation, when SRC is attached to DST, is possible).
    2079             : 
    2080             : Depending on situation, following actions are performed 
    2081             : * for SRC attached to DST, this function performs no actions (no need  to
    2082             :   do anything)
    2083             : * for independent matrices of different sizes it allocates storage in DST
    2084             :   and copy contents of SRC  to  DST.  DST->last_action field  is  set  to
    2085             :   ACT_NEW_LOCATION, and DST->owner is set to OWN_AE.
    2086             : * for  independent  matrices  of  same  sizes  it does not perform memory
    2087             :   (re)allocation.  It  just  copies  SRC  to  already   existing   place.
    2088             :   DST->last_action   is   set   to    ACT_SAME_LOCATION  (unless  it  was
    2089             :   ACT_NEW_LOCATION), DST->owner is unmodified.
    2090             : 
    2091             : dst                 destination vector
    2092             : src                 source, matrix in x-format
    2093             : state               ALGLIB environment state
    2094             : 
    2095             : NOTES:
    2096             : * dst is assumed to be initialized. Its contents is freed before  copying
    2097             :   data  from src  (if  size / type  are  different)  or  overwritten  (if
    2098             :   possible given destination size).
    2099             : ************************************************************************/
    2100           0 : void ae_x_set_matrix(x_matrix *dst, ae_matrix *src, ae_state *state)
    2101             : {
    2102             :     char *p_src_row;
    2103             :     char *p_dst_row;
    2104             :     ae_int_t i;
    2105             :     ae_int_t row_size;
    2106           0 :     if( src->ptr.pp_void!=NULL && src->ptr.pp_void[0] == dst->x_ptr.p_ptr )
    2107             :     {
    2108             :         /* src->ptr points to the beginning of dst, attached matrices, no need to copy */
    2109           0 :         return;
    2110             :     }
    2111           0 :     if( dst->rows!=src->rows || dst->cols!=src->cols || dst->datatype!=src->datatype )
    2112             :     {
    2113           0 :         if( dst->owner==OWN_AE )
    2114           0 :             ae_free(dst->x_ptr.p_ptr);
    2115           0 :         dst->rows = src->rows;
    2116           0 :         dst->cols = src->cols;
    2117           0 :         dst->stride = src->cols;
    2118           0 :         dst->datatype = src->datatype;
    2119           0 :         dst->x_ptr.p_ptr = ae_malloc((size_t)(dst->rows*((ae_int_t)dst->stride)*ae_sizeof(src->datatype)), state);
    2120           0 :         if( dst->rows!=0 && dst->stride!=0 && dst->x_ptr.p_ptr==NULL )
    2121           0 :             ae_break(state, ERR_OUT_OF_MEMORY, "ae_malloc(): out of memory");
    2122           0 :         dst->last_action = ACT_NEW_LOCATION;
    2123           0 :         dst->owner = OWN_AE;
    2124             :     }
    2125             :     else
    2126             :     {
    2127           0 :         if( dst->last_action==ACT_UNCHANGED )
    2128           0 :             dst->last_action = ACT_SAME_LOCATION;
    2129           0 :         else if( dst->last_action==ACT_SAME_LOCATION )
    2130           0 :             dst->last_action = ACT_SAME_LOCATION;
    2131           0 :         else if( dst->last_action==ACT_NEW_LOCATION )
    2132           0 :             dst->last_action = ACT_NEW_LOCATION;
    2133             :         else
    2134           0 :             ae_assert(ae_false, "ALGLIB: internal error in ae_x_set_vector()", state);
    2135             :     }
    2136           0 :     if( src->rows!=0 && src->cols!=0 )
    2137             :     {
    2138           0 :         p_src_row = (char*)(src->ptr.pp_void[0]);
    2139           0 :         p_dst_row = (char*)dst->x_ptr.p_ptr;
    2140           0 :         row_size = ae_sizeof(src->datatype)*src->cols;
    2141           0 :         for(i=0; i<src->rows; i++, p_src_row+=src->stride*ae_sizeof(src->datatype), p_dst_row+=dst->stride*ae_sizeof(src->datatype))
    2142           0 :             memmove(p_dst_row, p_src_row, (size_t)(row_size));
    2143             :     }
    2144             : }
    2145             : 
    2146             : /************************************************************************
    2147             : This function attaches x_vector to ae_vector's contents.
    2148             : Ownership of memory allocated is not changed (it is still managed by
    2149             : ae_matrix).
    2150             : 
    2151             : dst                 destination vector
    2152             : src                 source, vector in x-format
    2153             : state               ALGLIB environment state
    2154             : 
    2155             : NOTES:
    2156             : * dst is assumed to be initialized. Its contents is freed before
    2157             :   attaching to src.
    2158             : * this function doesn't need ae_state parameter because it can't fail
    2159             :   (assuming correctly initialized src)
    2160             : ************************************************************************/
    2161           0 : void ae_x_attach_to_vector(x_vector *dst, ae_vector *src)
    2162             : {
    2163           0 :     if( dst->owner==OWN_AE )
    2164           0 :         ae_free(dst->x_ptr.p_ptr);
    2165           0 :     dst->x_ptr.p_ptr = src->ptr.p_ptr;
    2166           0 :     dst->last_action = ACT_NEW_LOCATION;
    2167           0 :     dst->cnt = src->cnt;
    2168           0 :     dst->datatype = src->datatype;
    2169           0 :     dst->owner = OWN_CALLER;
    2170           0 : }
    2171             : 
    2172             : /************************************************************************
    2173             : This function attaches x_matrix to ae_matrix's contents.
    2174             : Ownership of memory allocated is not changed (it is still managed by
    2175             : ae_matrix).
    2176             : 
    2177             : dst                 destination vector
    2178             : src                 source, matrix in x-format
    2179             : state               ALGLIB environment state
    2180             : 
    2181             : NOTES:
    2182             : * dst is assumed to be initialized. Its contents is freed before
    2183             :   attaching to src.
    2184             : * this function doesn't need ae_state parameter because it can't fail
    2185             :   (assuming correctly initialized src)
    2186             : ************************************************************************/
    2187           0 : void ae_x_attach_to_matrix(x_matrix *dst, ae_matrix *src)
    2188             : {
    2189           0 :     if( dst->owner==OWN_AE )
    2190           0 :             ae_free(dst->x_ptr.p_ptr);
    2191           0 :     dst->rows = src->rows;
    2192           0 :     dst->cols = src->cols;
    2193           0 :     dst->stride = src->stride;
    2194           0 :     dst->datatype = src->datatype;
    2195           0 :     dst->x_ptr.p_ptr = &(src->ptr.pp_double[0][0]);
    2196           0 :     dst->last_action = ACT_NEW_LOCATION;
    2197           0 :     dst->owner = OWN_CALLER;
    2198           0 : }
    2199             : 
    2200             : /************************************************************************
    2201             : This function clears x_vector. It does nothing  if vector is not owned by
    2202             : ALGLIB environment.
    2203             : 
    2204             : dst                 vector
    2205             : ************************************************************************/
    2206           0 : void x_vector_clear(x_vector *dst)
    2207             : {
    2208           0 :     if( dst->owner==OWN_AE )
    2209           0 :         aligned_free(dst->x_ptr.p_ptr);
    2210           0 :     dst->x_ptr.p_ptr = NULL;
    2211           0 :     dst->cnt = 0;
    2212           0 : }
    2213             : 
    2214             : /************************************************************************
    2215             : Assertion
    2216             : 
    2217             : For  non-NULL  state  it  allows  to  gracefully  leave  ALGLIB  session,
    2218             : removing all frames and deallocating registered dynamic data structure.
    2219             : 
    2220             : For NULL state it just abort()'s program.
    2221             : 
    2222             : IMPORTANT: this function ALWAYS evaluates its argument.  It  can  not  be
    2223             :            replaced by macro which does nothing. So, you may place actual
    2224             :            function calls at cond, and these will always be performed.
    2225             : ************************************************************************/
    2226           0 : void ae_assert(ae_bool cond, const char *msg, ae_state *state)
    2227             : {
    2228           0 :     if( !cond )
    2229           0 :         ae_break(state, ERR_ASSERTION_FAILED, msg);
    2230           0 : }
    2231             : 
    2232             : /************************************************************************
    2233             : CPUID
    2234             : 
    2235             : Returns information about features CPU and compiler support.
    2236             : 
    2237             : You must tell ALGLIB what CPU family is used by defining AE_CPU symbol
    2238             : (without this hint zero will be returned).
    2239             : 
    2240             : Note: results of this function depend on both CPU and compiler;
    2241             : if compiler doesn't support SSE intrinsics, function won't set 
    2242             : corresponding flag.
    2243             : ************************************************************************/
    2244             : static volatile ae_bool _ae_cpuid_initialized = ae_false;
    2245             : static volatile ae_bool _ae_cpuid_has_sse2 = ae_false;
    2246           0 : ae_int_t ae_cpuid()
    2247             : {
    2248             :     /*
    2249             :      * to speed up CPU detection we cache results from previous attempts
    2250             :      * there is no synchronization, but it is still thread safe.
    2251             :      *
    2252             :      * thread safety is guaranteed on all modern architectures which
    2253             :      * have following property: simultaneous writes by different cores
    2254             :      * to the same location will be executed in serial manner.
    2255             :      *
    2256             :      */
    2257             :     ae_int_t result;
    2258             :     
    2259             :     /*
    2260             :      * if not initialized, determine system properties
    2261             :      */
    2262           0 :     if( !_ae_cpuid_initialized )
    2263             :     {
    2264             :         /*
    2265             :          * SSE2
    2266             :          */
    2267             : #if defined(AE_CPU)
    2268             : #if (AE_CPU==AE_INTEL) && defined(AE_HAS_SSE2_INTRINSICS)
    2269             : #if AE_COMPILER==AE_MSVC
    2270             :         {
    2271             :             int CPUInfo[4];
    2272             :             __cpuid(CPUInfo, 1);
    2273             :             if( (CPUInfo[3]&0x04000000)!=0 )
    2274             :                 _ae_cpuid_has_sse2 = ae_true;
    2275             :         }
    2276             : #elif AE_COMPILER==AE_GNUC
    2277             :         {
    2278             :             ae_int_t a,b,c,d;
    2279             :             __asm__ __volatile__ ("cpuid": "=a" (a), "=b" (b), "=c" (c), "=d" (d) : "a" (1));
    2280             :             if( (d&0x04000000)!=0 )
    2281             :                 _ae_cpuid_has_sse2 = ae_true;
    2282             :         }
    2283             : #elif AE_COMPILER==AE_SUNC
    2284             :         {
    2285             :             ae_int_t a,b,c,d;
    2286             :             __asm__ __volatile__ ("cpuid": "=a" (a), "=b" (b), "=c" (c), "=d" (d) : "a" (1));
    2287             :             if( (d&0x04000000)!=0 )
    2288             :                 _ae_cpuid_has_sse2 = ae_true;
    2289             :         }
    2290             : #else
    2291             : #endif
    2292             : #endif
    2293             : #endif
    2294             :         /*
    2295             :          * Perform one more CPUID call to generate memory fence
    2296             :          */
    2297             : #if AE_CPU==AE_INTEL
    2298             : #if AE_COMPILER==AE_MSVC
    2299             :         { int CPUInfo[4]; __cpuid(CPUInfo, 1); }
    2300             : #elif AE_COMPILER==AE_GNUC
    2301             :         { ae_int_t a,b,c,d; __asm__ __volatile__ ("cpuid": "=a" (a), "=b" (b), "=c" (c), "=d" (d) : "a" (1)); }
    2302             : #elif AE_COMPILER==AE_SUNC
    2303             :         { ae_int_t a,b,c,d; __asm__ __volatile__ ("cpuid": "=a" (a), "=b" (b), "=c" (c), "=d" (d) : "a" (1)); }
    2304             : #else
    2305             : #endif
    2306             : #endif
    2307             :         
    2308             :         /*
    2309             :          * set initialization flag
    2310             :          */
    2311           0 :         _ae_cpuid_initialized = ae_true;
    2312             :     }
    2313             :     
    2314             :     /*
    2315             :      * return
    2316             :      */
    2317           0 :     result = 0;
    2318           0 :     if( _ae_cpuid_has_sse2 )
    2319           0 :         result = result|CPU_SSE2;
    2320           0 :     return result;
    2321             : }
    2322             : 
    2323             : /************************************************************************
    2324             : Activates tracing to file
    2325             : 
    2326             : IMPORTANT: this function is NOT thread-safe!  Calling  it  from  multiple
    2327             :            threads will result in undefined  behavior.  Calling  it  when
    2328             :            some thread calls ALGLIB functions  may  result  in  undefined
    2329             :            behavior.
    2330             : ************************************************************************/
    2331           0 : void ae_trace_file(const char *tags, const char *filename)
    2332             : {
    2333             :     /*
    2334             :      * clean up previous call
    2335             :      */
    2336           0 :     if( alglib_fclose_trace )
    2337             :     {
    2338           0 :         if( alglib_trace_file!=NULL )
    2339           0 :             fclose(alglib_trace_file);
    2340           0 :         alglib_trace_file = NULL;
    2341           0 :         alglib_fclose_trace = ae_false;
    2342             :     }
    2343             :     
    2344             :     /*
    2345             :      * store ",tags," to buffer. Leading and trailing commas allow us
    2346             :      * to perform checks for various tags by simply calling strstr().
    2347             :      */
    2348           0 :     memset(alglib_trace_tags, 0, ALGLIB_TRACE_BUFFER_LEN);
    2349           0 :     strcat(alglib_trace_tags, ",");
    2350           0 :     strncat(alglib_trace_tags, tags, ALGLIB_TRACE_TAGS_LEN);
    2351           0 :     strcat(alglib_trace_tags, ",");
    2352           0 :     for(int i=0; alglib_trace_tags[i]!=0; i++)
    2353           0 :         alglib_trace_tags[i] = tolower(alglib_trace_tags[i]);
    2354             :     
    2355             :     /*
    2356             :      * set up trace
    2357             :      */
    2358           0 :     alglib_trace_type = ALGLIB_TRACE_FILE;
    2359           0 :     alglib_trace_file = fopen(filename, "ab");
    2360           0 :     alglib_fclose_trace = ae_true;
    2361           0 : }
    2362             : 
    2363             : /************************************************************************
    2364             : Disables tracing
    2365             : ************************************************************************/
    2366           0 : void ae_trace_disable()
    2367             : {
    2368           0 :     alglib_trace_type = ALGLIB_TRACE_NONE;
    2369           0 :     if( alglib_fclose_trace )
    2370           0 :         fclose(alglib_trace_file);
    2371           0 :     alglib_trace_file = NULL;
    2372           0 :     alglib_fclose_trace = ae_false;
    2373           0 : }
    2374             : 
    2375             : /************************************************************************
    2376             : Checks whether specific kind of tracing is enabled
    2377             : ************************************************************************/
    2378           0 : ae_bool ae_is_trace_enabled(const char *tag)
    2379             : {
    2380             :     char buf[ALGLIB_TRACE_BUFFER_LEN];
    2381             :     
    2382             :     /* check global trace status */
    2383           0 :     if( alglib_trace_type==ALGLIB_TRACE_NONE || alglib_trace_file==NULL )
    2384           0 :         return ae_false;
    2385             :     
    2386             :     /* copy tag to buffer, lowercase it */
    2387           0 :     memset(buf, 0, ALGLIB_TRACE_BUFFER_LEN);
    2388           0 :     strcat(buf, ",");
    2389           0 :     strncat(buf, tag, ALGLIB_TRACE_TAGS_LEN);
    2390           0 :     strcat(buf, "?");
    2391           0 :     for(int i=0; buf[i]!=0; i++)
    2392           0 :         buf[i] = tolower(buf[i]);
    2393             :             
    2394             :     /* contains tag (followed by comma, which means exact match) */
    2395           0 :     buf[strlen(buf)-1] = ',';
    2396           0 :     if( strstr(alglib_trace_tags,buf)!=NULL )
    2397           0 :         return ae_true;
    2398             :             
    2399             :     /* contains tag (followed by dot, which means match with child) */
    2400           0 :     buf[strlen(buf)-1] = '.';
    2401           0 :     if( strstr(alglib_trace_tags,buf)!=NULL )
    2402           0 :         return ae_true;
    2403             :             
    2404             :     /* nothing */
    2405           0 :     return ae_false;
    2406             : }
    2407             : 
    2408           0 : void ae_trace(const char * printf_fmt, ...)
    2409             : {   
    2410             :     /* check global trace status */
    2411           0 :     if( alglib_trace_type==ALGLIB_TRACE_FILE && alglib_trace_file!=NULL )
    2412             :     {
    2413             :         va_list args;
    2414             :     
    2415             :         /* fprintf() */
    2416           0 :         va_start(args, printf_fmt);
    2417           0 :         vfprintf(alglib_trace_file, printf_fmt, args);
    2418           0 :         va_end(args);
    2419             :         
    2420             :         /* flush output */
    2421           0 :         fflush(alglib_trace_file);
    2422             :     }
    2423           0 : }
    2424             : 
    2425           0 : int ae_tickcount()
    2426             : {
    2427             : #if AE_OS==AE_WINDOWS || defined(AE_DEBUG4WINDOWS)
    2428             :     return (int)GetTickCount();
    2429             : #elif AE_OS==AE_POSIX || defined(AE_DEBUG4POSIX)
    2430             :     struct timeval now;
    2431             :     ae_int64_t r, v;
    2432             :     gettimeofday(&now, NULL);
    2433             :     v = now.tv_sec;
    2434             :     r = v*1000;
    2435             :     v = now.tv_usec/1000;
    2436             :     r = r+v;
    2437             :     return r;
    2438             :     /*struct timespec now;
    2439             :     if (clock_gettime(CLOCK_MONOTONIC, &now) )
    2440             :         return 0;
    2441             :     return now.tv_sec * 1000.0 + now.tv_nsec / 1000000.0;*/
    2442             : #else
    2443           0 :     return 0;
    2444             : #endif
    2445             : }
    2446             : 
    2447             : 
    2448             : /************************************************************************
    2449             : Real math functions
    2450             : ************************************************************************/
    2451           0 : ae_bool ae_fp_eq(double v1, double v2)
    2452             : {
    2453             :     /* IEEE-strict floating point comparison */
    2454           0 :     volatile double x = v1;
    2455           0 :     volatile double y = v2;
    2456           0 :     return x==y;
    2457             : }
    2458             : 
    2459           0 : ae_bool ae_fp_neq(double v1, double v2)
    2460             : {
    2461             :     /* IEEE-strict floating point comparison */
    2462           0 :     return !ae_fp_eq(v1,v2);
    2463             : }
    2464             : 
    2465           0 : ae_bool ae_fp_less(double v1, double v2)
    2466             : {
    2467             :     /* IEEE-strict floating point comparison */
    2468           0 :     volatile double x = v1;
    2469           0 :     volatile double y = v2;
    2470           0 :     return x<y;
    2471             : }
    2472             : 
    2473           0 : ae_bool ae_fp_less_eq(double v1, double v2)
    2474             : {
    2475             :     /* IEEE-strict floating point comparison */
    2476           0 :     volatile double x = v1;
    2477           0 :     volatile double y = v2;
    2478           0 :     return x<=y;
    2479             : }
    2480             : 
    2481           0 : ae_bool ae_fp_greater(double v1, double v2)
    2482             : {
    2483             :     /* IEEE-strict floating point comparison */
    2484           0 :     volatile double x = v1;
    2485           0 :     volatile double y = v2;
    2486           0 :     return x>y;
    2487             : }
    2488             : 
    2489           0 : ae_bool ae_fp_greater_eq(double v1, double v2)
    2490             : {
    2491             :     /* IEEE-strict floating point comparison */
    2492           0 :     volatile double x = v1;
    2493           0 :     volatile double y = v2;
    2494           0 :     return x>=y;
    2495             : }
    2496             : 
    2497           0 : ae_bool ae_isfinite_stateless(double x, ae_int_t endianness)
    2498             : {
    2499             :     union _u
    2500             :     {
    2501             :         double a;
    2502             :         ae_int32_t p[2];
    2503             :     } u;
    2504             :     ae_int32_t high;
    2505           0 :     u.a = x;
    2506           0 :     if( endianness==AE_LITTLE_ENDIAN )
    2507           0 :         high = u.p[1];
    2508             :     else
    2509           0 :         high = u.p[0];
    2510           0 :     return (high & (ae_int32_t)0x7FF00000)!=(ae_int32_t)0x7FF00000;
    2511             : }
    2512             : 
    2513           0 : ae_bool ae_isnan_stateless(double x,    ae_int_t endianness)
    2514             : {
    2515             :     union _u
    2516             :     {
    2517             :         double a;
    2518             :         ae_int32_t p[2];
    2519             :     } u;
    2520             :     ae_int32_t high, low;
    2521           0 :     u.a = x;
    2522           0 :     if( endianness==AE_LITTLE_ENDIAN )
    2523             :     {
    2524           0 :         high = u.p[1];
    2525           0 :         low =  u.p[0];
    2526             :     }
    2527             :     else
    2528             :     {
    2529           0 :         high = u.p[0];
    2530           0 :         low =  u.p[1];
    2531             :     }
    2532           0 :     return ((high &0x7FF00000)==0x7FF00000) && (((high &0x000FFFFF)!=0) || (low!=0));
    2533             : }
    2534             : 
    2535           0 : ae_bool ae_isinf_stateless(double x,    ae_int_t endianness)
    2536             : {
    2537             :     union _u
    2538             :     {
    2539             :         double a;
    2540             :         ae_int32_t p[2];
    2541             :     } u;
    2542             :     ae_int32_t high, low;
    2543           0 :     u.a = x;
    2544           0 :     if( endianness==AE_LITTLE_ENDIAN )
    2545             :     {
    2546           0 :         high = u.p[1];
    2547           0 :         low  = u.p[0];
    2548             :     }
    2549             :     else
    2550             :     {
    2551           0 :         high = u.p[0];
    2552           0 :         low  = u.p[1];
    2553             :     }
    2554             :     
    2555             :     /* 31 least significant bits of high are compared */
    2556           0 :     return ((high&0x7FFFFFFF)==0x7FF00000) && (low==0); 
    2557             : }
    2558             : 
    2559           0 : ae_bool ae_isposinf_stateless(double x, ae_int_t endianness)
    2560             : {
    2561             :     union _u
    2562             :     {
    2563             :         double a;
    2564             :         ae_int32_t p[2];
    2565             :     } u;
    2566             :     ae_int32_t high, low;
    2567           0 :     u.a = x;
    2568           0 :     if( endianness==AE_LITTLE_ENDIAN )
    2569             :     {
    2570           0 :         high = u.p[1];
    2571           0 :         low  = u.p[0];
    2572             :     }
    2573             :     else
    2574             :     {
    2575           0 :         high = u.p[0];
    2576           0 :         low  = u.p[1];
    2577             :     }
    2578             :     
    2579             :     /* all 32 bits of high are compared */
    2580           0 :     return (high==(ae_int32_t)0x7FF00000) && (low==0); 
    2581             : }
    2582             : 
    2583           0 : ae_bool ae_isneginf_stateless(double x, ae_int_t endianness)
    2584             : {
    2585             :     union _u
    2586             :     {
    2587             :         double a;
    2588             :         ae_int32_t p[2];
    2589             :     } u;
    2590             :     ae_int32_t high, low;
    2591           0 :     u.a = x;
    2592           0 :     if( endianness==AE_LITTLE_ENDIAN )
    2593             :     {
    2594           0 :         high = u.p[1];
    2595           0 :         low  = u.p[0];
    2596             :     }
    2597             :     else
    2598             :     {
    2599           0 :         high = u.p[0];
    2600           0 :         low  = u.p[1];
    2601             :     }
    2602             :     
    2603             :     /* this code is a bit tricky to avoid comparison of high with 0xFFF00000, which may be unsafe with some buggy compilers */
    2604           0 :     return ((high&0x7FFFFFFF)==0x7FF00000) && (high!=(ae_int32_t)0x7FF00000) && (low==0);
    2605             : }
    2606             : 
    2607          20 : ae_int_t ae_get_endianness()
    2608             : {
    2609             :     union
    2610             :     {
    2611             :         double a;
    2612             :         ae_int32_t p[2];
    2613             :     } u;
    2614             :     
    2615             :     /*
    2616             :      * determine endianness
    2617             :      * two types are supported: big-endian and little-endian.
    2618             :      * mixed-endian hardware is NOT supported.
    2619             :      *
    2620             :      * 1983 is used as magic number because its non-periodic double 
    2621             :      * representation allow us to easily distinguish between upper 
    2622             :      * and lower halfs and to detect mixed endian hardware.
    2623             :      *
    2624             :      */
    2625          20 :     u.a = 1.0/1983.0; 
    2626          20 :     if( u.p[1]==(ae_int32_t)0x3f408642 )
    2627          20 :         return AE_LITTLE_ENDIAN;
    2628           0 :     if( u.p[0]==(ae_int32_t)0x3f408642 )
    2629           0 :         return AE_BIG_ENDIAN;
    2630           0 :     return AE_MIXED_ENDIAN;
    2631             : }
    2632             : 
    2633           0 : ae_bool ae_isfinite(double x,ae_state *state)
    2634             : {
    2635           0 :     return ae_isfinite_stateless(x, state->endianness);
    2636             : }
    2637             : 
    2638           0 : ae_bool ae_isnan(double x,   ae_state *state)
    2639             : {
    2640           0 :     return ae_isnan_stateless(x, state->endianness);
    2641             : }
    2642             : 
    2643           0 : ae_bool ae_isinf(double x,   ae_state *state)
    2644             : {
    2645           0 :     return ae_isinf_stateless(x, state->endianness);
    2646             : }
    2647             : 
    2648           0 : ae_bool ae_isposinf(double x,ae_state *state)
    2649             : {
    2650           0 :     return ae_isposinf_stateless(x, state->endianness);
    2651             : }
    2652             : 
    2653           0 : ae_bool ae_isneginf(double x,ae_state *state)
    2654             : {
    2655           0 :     return ae_isneginf_stateless(x, state->endianness);
    2656             : }
    2657             : 
    2658           0 : double ae_fabs(double x,  ae_state *state)
    2659             : {
    2660           0 :     return fabs(x);
    2661             : }
    2662             : 
    2663           0 : ae_int_t ae_iabs(ae_int_t x, ae_state *state)
    2664             : {
    2665           0 :     return x>=0 ? x : -x;
    2666             : }
    2667             : 
    2668           0 : double ae_sqr(double x,  ae_state *state)
    2669             : {
    2670           0 :     return x*x;
    2671             : }
    2672             : 
    2673           0 : double ae_sqrt(double x, ae_state *state)
    2674             : {
    2675           0 :     return sqrt(x);
    2676             : }
    2677             : 
    2678           0 : ae_int_t ae_sign(double x, ae_state *state)
    2679             : {
    2680           0 :     if( x>0 ) return  1;
    2681           0 :     if( x<0 ) return -1;
    2682           0 :     return 0;
    2683             : }
    2684             : 
    2685           0 : ae_int_t ae_round(double x, ae_state *state)
    2686             : {
    2687           0 :     return (ae_int_t)(ae_ifloor(x+0.5,state));
    2688             : }
    2689             : 
    2690           0 : ae_int_t ae_trunc(double x, ae_state *state)
    2691             : {
    2692           0 :     return (ae_int_t)(x>0 ? ae_ifloor(x,state) : ae_iceil(x,state));
    2693             : }
    2694             : 
    2695           0 : ae_int_t ae_ifloor(double x, ae_state *state)
    2696             : {
    2697           0 :     return (ae_int_t)(floor(x));
    2698             : }
    2699             : 
    2700           0 : ae_int_t ae_iceil(double x,  ae_state *state)
    2701             : {
    2702           0 :     return (ae_int_t)(ceil(x));
    2703             : }
    2704             : 
    2705           0 : ae_int_t ae_maxint(ae_int_t m1, ae_int_t m2, ae_state *state)
    2706             : {
    2707           0 :     return m1>m2 ? m1 : m2;
    2708             : }
    2709             : 
    2710           0 : ae_int_t ae_minint(ae_int_t m1, ae_int_t m2, ae_state *state)
    2711             : {
    2712           0 :     return m1>m2 ? m2 : m1;
    2713             : }
    2714             : 
    2715           0 : double ae_maxreal(double m1, double m2, ae_state *state)
    2716             : {
    2717           0 :     return m1>m2 ? m1 : m2;
    2718             : }
    2719             : 
    2720           0 : double ae_minreal(double m1, double m2, ae_state *state)
    2721             : {
    2722           0 :     return m1>m2 ? m2 : m1;
    2723             : }
    2724             : 
    2725           0 : double ae_randomreal(ae_state *state)
    2726             : {
    2727           0 :     int i1 = rand();
    2728           0 :     int i2 = rand();
    2729           0 :     double mx = (double)(RAND_MAX)+1.0;
    2730           0 :     volatile double tmp0 = i2/mx;
    2731           0 :     volatile double tmp1 = i1+tmp0;
    2732           0 :     return tmp1/mx;
    2733             : }
    2734             : 
    2735           0 : ae_int_t ae_randominteger(ae_int_t maxv, ae_state *state)
    2736             : {
    2737           0 :     return rand()%maxv;
    2738             : }
    2739             : 
    2740           0 : double   ae_sin(double x, ae_state *state)
    2741             : {
    2742           0 :     return sin(x);
    2743             : }
    2744             : 
    2745           0 : double   ae_cos(double x, ae_state *state)
    2746             : {
    2747           0 :     return cos(x);
    2748             : }
    2749             : 
    2750           0 : double   ae_tan(double x, ae_state *state)
    2751             : {
    2752           0 :     return tan(x);
    2753             : }
    2754             : 
    2755           0 : double   ae_sinh(double x, ae_state *state)
    2756             : {
    2757           0 :     return sinh(x);
    2758             : }
    2759             : 
    2760           0 : double   ae_cosh(double x, ae_state *state)
    2761             : {
    2762           0 :     return cosh(x);
    2763             : }
    2764           0 : double   ae_tanh(double x, ae_state *state)
    2765             : {
    2766           0 :     return tanh(x);
    2767             : }
    2768             : 
    2769           0 : double   ae_asin(double x, ae_state *state)
    2770             : {
    2771           0 :     return asin(x);
    2772             : }
    2773             : 
    2774           0 : double   ae_acos(double x, ae_state *state)
    2775             : {
    2776           0 :     return acos(x);
    2777             : }
    2778             : 
    2779           0 : double   ae_atan(double x, ae_state *state)
    2780             : {
    2781           0 :     return atan(x);
    2782             : }
    2783             : 
    2784           0 : double   ae_atan2(double y, double x, ae_state *state)
    2785             : {
    2786           0 :     return atan2(y,x);
    2787             : }
    2788             : 
    2789           0 : double   ae_log(double x, ae_state *state)
    2790             : {
    2791           0 :     return log(x);
    2792             : }
    2793             : 
    2794           0 : double   ae_pow(double x, double y, ae_state *state)
    2795             : {
    2796           0 :     return pow(x,y);
    2797             : }
    2798             : 
    2799           0 : double   ae_exp(double x, ae_state *state)
    2800             : {
    2801           0 :     return exp(x);
    2802             : }
    2803             : 
    2804             : /************************************************************************
    2805             : Symmetric/Hermitian properties: check and force
    2806             : ************************************************************************/
    2807           0 : static void x_split_length(ae_int_t n, ae_int_t nb, ae_int_t* n1, ae_int_t* n2)
    2808             : {
    2809             :     ae_int_t r;
    2810           0 :     if( n<=nb )
    2811             :     {
    2812           0 :         *n1 = n;
    2813           0 :         *n2 = 0;
    2814             :     }
    2815             :     else
    2816             :     {
    2817           0 :         if( n%nb!=0 )
    2818             :         {
    2819           0 :             *n2 = n%nb;
    2820           0 :             *n1 = n-(*n2);
    2821             :         }
    2822             :         else
    2823             :         {
    2824           0 :             *n2 = n/2;
    2825           0 :             *n1 = n-(*n2);
    2826           0 :             if( *n1%nb==0 )
    2827             :             {
    2828           0 :                 return;
    2829             :             }
    2830           0 :             r = nb-*n1%nb;
    2831           0 :             *n1 = *n1+r;
    2832           0 :             *n2 = *n2-r;
    2833             :         }
    2834             :     }
    2835             : }
    2836           0 : static double x_safepythag2(double x, double y)
    2837             : {
    2838             :     double w;
    2839             :     double xabs;
    2840             :     double yabs;
    2841             :     double z;
    2842           0 :     xabs = fabs(x);
    2843           0 :     yabs = fabs(y);
    2844           0 :     w = xabs>yabs ? xabs : yabs;
    2845           0 :     z = xabs<yabs ? xabs : yabs;
    2846           0 :     if( z==0 )
    2847           0 :         return w;
    2848             :     else
    2849             :     {
    2850             :         double t;
    2851           0 :         t = z/w;
    2852           0 :         return w*sqrt(1+t*t);
    2853             :     }
    2854             : }
    2855             : /*
    2856             :  * this function checks difference between offdiagonal blocks BL and BU
    2857             :  * (see below). Block BL is specified by offsets (offset0,offset1)  and
    2858             :  * sizes (len0,len1).
    2859             :  *
    2860             :  *     [ .          ]
    2861             :  *     [   A0  BU   ]
    2862             :  * A = [   BL  A1   ]
    2863             :  *     [          . ]
    2864             :  *
    2865             :  *  this subroutine updates current values of:
    2866             :  *  a) mx       maximum value of A[i,j] found so far
    2867             :  *  b) err      componentwise difference between elements of BL and BU^T
    2868             :  *
    2869             :  */
    2870           0 : static void is_symmetric_rec_off_stat(x_matrix *a, ae_int_t offset0, ae_int_t offset1, ae_int_t len0, ae_int_t len1, ae_bool *nonfinite, double *mx, double *err, ae_state *_state)
    2871             : {
    2872             :     /* try to split problem into two smaller ones */
    2873           0 :     if( len0>x_nb || len1>x_nb )
    2874             :     {
    2875             :         ae_int_t n1, n2;
    2876           0 :         if( len0>len1 )
    2877             :         {
    2878           0 :             x_split_length(len0, x_nb, &n1, &n2);
    2879           0 :             is_symmetric_rec_off_stat(a, offset0,    offset1, n1, len1, nonfinite, mx, err, _state);
    2880           0 :             is_symmetric_rec_off_stat(a, offset0+n1, offset1, n2, len1, nonfinite, mx, err, _state);
    2881             :         }
    2882             :         else
    2883             :         {
    2884           0 :             x_split_length(len1, x_nb, &n1, &n2);
    2885           0 :             is_symmetric_rec_off_stat(a, offset0, offset1,    len0, n1, nonfinite, mx, err, _state);
    2886           0 :             is_symmetric_rec_off_stat(a, offset0, offset1+n1, len0, n2, nonfinite, mx, err, _state);
    2887             :         }
    2888           0 :         return;
    2889             :     }
    2890             :     else
    2891             :     {
    2892             :         /* base case */
    2893             :         double *p1, *p2, *prow, *pcol;
    2894             :         double v;
    2895             :         ae_int_t i, j;
    2896             : 
    2897           0 :         p1 = (double*)(a->x_ptr.p_ptr)+offset0*a->stride+offset1;
    2898           0 :         p2 = (double*)(a->x_ptr.p_ptr)+offset1*a->stride+offset0;
    2899           0 :         for(i=0; i<len0; i++)
    2900             :         {
    2901           0 :             pcol = p2+i;
    2902           0 :             prow = p1+i*a->stride;
    2903           0 :             for(j=0; j<len1; j++)
    2904             :             {
    2905           0 :                 if( !ae_isfinite(*pcol,_state) || !ae_isfinite(*prow,_state) )
    2906             :                 {
    2907           0 :                     *nonfinite = ae_true;
    2908             :                 }
    2909             :                 else
    2910             :                 {
    2911           0 :                     v = fabs(*pcol);
    2912           0 :                     *mx =  *mx>v ? *mx : v;
    2913           0 :                     v = fabs(*prow);
    2914           0 :                     *mx =  *mx>v ? *mx : v;
    2915           0 :                     v = fabs(*pcol-*prow);
    2916           0 :                     *err = *err>v ? *err : v;
    2917             :                 }                
    2918           0 :                 pcol += a->stride;
    2919           0 :                 prow++;
    2920             :             }
    2921             :         }
    2922             :     }
    2923             : }
    2924             : /*
    2925             :  * this function checks that diagonal block A0 is symmetric.
    2926             :  * Block A0 is specified by its offset and size.
    2927             :  *
    2928             :  *     [ .          ]
    2929             :  *     [   A0       ]
    2930             :  * A = [       .    ]
    2931             :  *     [          . ]
    2932             :  *
    2933             :  *  this subroutine updates current values of:
    2934             :  *  a) mx       maximum value of A[i,j] found so far
    2935             :  *  b) err      componentwise difference between A0 and A0^T
    2936             :  *
    2937             :  */
    2938           0 : static void is_symmetric_rec_diag_stat(x_matrix *a, ae_int_t offset, ae_int_t len, ae_bool *nonfinite, double *mx, double *err, ae_state *_state)
    2939             : {
    2940             :     double *p, *prow, *pcol;
    2941             :     double v;
    2942             :     ae_int_t i, j;
    2943             :     
    2944             :     /* try to split problem into two smaller ones */
    2945           0 :     if( len>x_nb )
    2946             :     {
    2947             :         ae_int_t n1, n2;
    2948           0 :         x_split_length(len, x_nb, &n1, &n2);
    2949           0 :         is_symmetric_rec_diag_stat(a, offset, n1, nonfinite, mx, err, _state);
    2950           0 :         is_symmetric_rec_diag_stat(a, offset+n1, n2, nonfinite, mx, err, _state);
    2951           0 :         is_symmetric_rec_off_stat(a, offset+n1, offset, n2, n1, nonfinite, mx, err, _state);
    2952           0 :         return;
    2953             :     }
    2954             :     
    2955             :     /* base case */
    2956           0 :     p = (double*)(a->x_ptr.p_ptr)+offset*a->stride+offset;
    2957           0 :     for(i=0; i<len; i++)
    2958             :     {
    2959           0 :         pcol = p+i;
    2960           0 :         prow = p+i*a->stride;
    2961           0 :         for(j=0; j<i; j++,pcol+=a->stride,prow++)
    2962             :         {
    2963           0 :             if( !ae_isfinite(*pcol,_state) || !ae_isfinite(*prow,_state) )
    2964             :             {
    2965           0 :                 *nonfinite = ae_true;
    2966             :             }
    2967             :             else
    2968             :             {
    2969           0 :                 v = fabs(*pcol);
    2970           0 :                 *mx =  *mx>v ? *mx : v;
    2971           0 :                 v = fabs(*prow);
    2972           0 :                 *mx =  *mx>v ? *mx : v;
    2973           0 :                 v = fabs(*pcol-*prow);
    2974           0 :                 *err = *err>v ? *err : v;
    2975             :             }
    2976             :         }
    2977           0 :         v = fabs(p[i+i*a->stride]);
    2978           0 :         *mx =  *mx>v ? *mx : v;
    2979             :     }
    2980             : }
    2981             : /*
    2982             :  * this function checks difference between offdiagonal blocks BL and BU
    2983             :  * (see below). Block BL is specified by offsets (offset0,offset1)  and
    2984             :  * sizes (len0,len1).
    2985             :  *
    2986             :  *     [ .          ]
    2987             :  *     [   A0  BU   ]
    2988             :  * A = [   BL  A1   ]
    2989             :  *     [          . ]
    2990             :  *
    2991             :  *  this subroutine updates current values of:
    2992             :  *  a) mx       maximum value of A[i,j] found so far
    2993             :  *  b) err      componentwise difference between elements of BL and BU^H
    2994             :  *
    2995             :  */
    2996           0 : static void is_hermitian_rec_off_stat(x_matrix *a, ae_int_t offset0, ae_int_t offset1, ae_int_t len0, ae_int_t len1, ae_bool *nonfinite, double *mx, double *err, ae_state *_state)
    2997             : {
    2998             :     /* try to split problem into two smaller ones */
    2999           0 :     if( len0>x_nb || len1>x_nb )
    3000             :     {
    3001             :         ae_int_t n1, n2;
    3002           0 :         if( len0>len1 )
    3003             :         {
    3004           0 :             x_split_length(len0, x_nb, &n1, &n2);
    3005           0 :             is_hermitian_rec_off_stat(a, offset0,    offset1, n1, len1, nonfinite, mx, err, _state);
    3006           0 :             is_hermitian_rec_off_stat(a, offset0+n1, offset1, n2, len1, nonfinite, mx, err, _state);
    3007             :         }
    3008             :         else
    3009             :         {
    3010           0 :             x_split_length(len1, x_nb, &n1, &n2);
    3011           0 :             is_hermitian_rec_off_stat(a, offset0, offset1,    len0, n1, nonfinite, mx, err, _state);
    3012           0 :             is_hermitian_rec_off_stat(a, offset0, offset1+n1, len0, n2, nonfinite, mx, err, _state);
    3013             :         }
    3014           0 :         return;
    3015             :     }
    3016             :     else
    3017             :     {
    3018             :         /* base case */
    3019             :         ae_complex *p1, *p2, *prow, *pcol;
    3020             :         double v;
    3021             :         ae_int_t i, j;
    3022             : 
    3023           0 :         p1 = (ae_complex*)(a->x_ptr.p_ptr)+offset0*a->stride+offset1;
    3024           0 :         p2 = (ae_complex*)(a->x_ptr.p_ptr)+offset1*a->stride+offset0;
    3025           0 :         for(i=0; i<len0; i++)
    3026             :         {
    3027           0 :             pcol = p2+i;
    3028           0 :             prow = p1+i*a->stride;
    3029           0 :             for(j=0; j<len1; j++)
    3030             :             {
    3031           0 :                 if( !ae_isfinite(pcol->x, _state) || !ae_isfinite(pcol->y, _state) || !ae_isfinite(prow->x, _state) || !ae_isfinite(prow->y, _state) )
    3032             :                 {
    3033           0 :                     *nonfinite = ae_true;
    3034             :                 }
    3035             :                 else
    3036             :                 {
    3037           0 :                     v = x_safepythag2(pcol->x, pcol->y);
    3038           0 :                     *mx =  *mx>v ? *mx : v;
    3039           0 :                     v = x_safepythag2(prow->x, prow->y);
    3040           0 :                     *mx =  *mx>v ? *mx : v;
    3041           0 :                     v = x_safepythag2(pcol->x-prow->x, pcol->y+prow->y);
    3042           0 :                     *err = *err>v ? *err : v;
    3043             :                 }
    3044           0 :                 pcol += a->stride;
    3045           0 :                 prow++;
    3046             :             }
    3047             :         }
    3048             :     }
    3049             : }
    3050             : /*
    3051             :  * this function checks that diagonal block A0 is Hermitian.
    3052             :  * Block A0 is specified by its offset and size.
    3053             :  *
    3054             :  *     [ .          ]
    3055             :  *     [   A0       ]
    3056             :  * A = [       .    ]
    3057             :  *     [          . ]
    3058             :  *
    3059             :  *  this subroutine updates current values of:
    3060             :  *  a) mx       maximum value of A[i,j] found so far
    3061             :  *  b) err      componentwise difference between A0 and A0^H
    3062             :  *
    3063             :  */
    3064           0 : static void is_hermitian_rec_diag_stat(x_matrix *a, ae_int_t offset, ae_int_t len, ae_bool *nonfinite, double *mx, double *err, ae_state *_state)
    3065             : {
    3066             :     ae_complex *p, *prow, *pcol;
    3067             :     double v;
    3068             :     ae_int_t i, j;
    3069             :     
    3070             :     /* try to split problem into two smaller ones */
    3071           0 :     if( len>x_nb )
    3072             :     {
    3073             :         ae_int_t n1, n2;
    3074           0 :         x_split_length(len, x_nb, &n1, &n2);
    3075           0 :         is_hermitian_rec_diag_stat(a, offset, n1, nonfinite, mx, err, _state);
    3076           0 :         is_hermitian_rec_diag_stat(a, offset+n1, n2, nonfinite, mx, err, _state);
    3077           0 :         is_hermitian_rec_off_stat(a, offset+n1, offset, n2, n1, nonfinite, mx, err, _state);
    3078           0 :         return;
    3079             :     }
    3080             :     
    3081             :     /* base case */
    3082           0 :     p = (ae_complex*)(a->x_ptr.p_ptr)+offset*a->stride+offset;
    3083           0 :     for(i=0; i<len; i++)
    3084             :     {
    3085           0 :         pcol = p+i;
    3086           0 :         prow = p+i*a->stride;
    3087           0 :         for(j=0; j<i; j++,pcol+=a->stride,prow++)
    3088             :         {
    3089           0 :             if( !ae_isfinite(pcol->x, _state) || !ae_isfinite(pcol->y, _state) || !ae_isfinite(prow->x, _state) || !ae_isfinite(prow->y, _state) )
    3090             :             {
    3091           0 :                 *nonfinite = ae_true;
    3092             :             }
    3093             :             else
    3094             :             {
    3095           0 :                 v = x_safepythag2(pcol->x, pcol->y);
    3096           0 :                 *mx =  *mx>v ? *mx : v;
    3097           0 :                 v = x_safepythag2(prow->x, prow->y);
    3098           0 :                 *mx =  *mx>v ? *mx : v;
    3099           0 :                 v = x_safepythag2(pcol->x-prow->x, pcol->y+prow->y);
    3100           0 :                 *err = *err>v ? *err : v;
    3101             :             }
    3102             :         }
    3103           0 :         if( !ae_isfinite(p[i+i*a->stride].x, _state) || !ae_isfinite(p[i+i*a->stride].y, _state) )
    3104             :         {
    3105           0 :             *nonfinite = ae_true;
    3106             :         }
    3107             :         else
    3108             :         {
    3109           0 :             v = fabs(p[i+i*a->stride].x);
    3110           0 :             *mx =  *mx>v ? *mx : v;
    3111           0 :             v = fabs(p[i+i*a->stride].y);
    3112           0 :             *err =  *err>v ? *err : v;
    3113             :         }
    3114             :     }
    3115             : }
    3116             : /*
    3117             :  * this function copies offdiagonal block BL to its symmetric counterpart
    3118             :  * BU (see below). Block BL is specified by offsets (offset0,offset1)
    3119             :  * and sizes (len0,len1).
    3120             :  *
    3121             :  *     [ .          ]
    3122             :  *     [   A0  BU   ]
    3123             :  * A = [   BL  A1   ]
    3124             :  *     [          . ]
    3125             :  *
    3126             :  */
    3127           0 : static void force_symmetric_rec_off_stat(x_matrix *a, ae_int_t offset0, ae_int_t offset1, ae_int_t len0, ae_int_t len1)
    3128             : {
    3129             :     /* try to split problem into two smaller ones */
    3130           0 :     if( len0>x_nb || len1>x_nb )
    3131             :     {
    3132             :         ae_int_t n1, n2;
    3133           0 :         if( len0>len1 )
    3134             :         {
    3135           0 :             x_split_length(len0, x_nb, &n1, &n2);
    3136           0 :             force_symmetric_rec_off_stat(a, offset0,    offset1, n1, len1);
    3137           0 :             force_symmetric_rec_off_stat(a, offset0+n1, offset1, n2, len1);
    3138             :         }
    3139             :         else
    3140             :         {
    3141           0 :             x_split_length(len1, x_nb, &n1, &n2);
    3142           0 :             force_symmetric_rec_off_stat(a, offset0, offset1,    len0, n1);
    3143           0 :             force_symmetric_rec_off_stat(a, offset0, offset1+n1, len0, n2);
    3144             :         }
    3145           0 :         return;
    3146             :     }
    3147             :     else
    3148             :     {
    3149             :         /* base case */
    3150             :         double *p1, *p2, *prow, *pcol;
    3151             :         ae_int_t i, j;
    3152             : 
    3153           0 :         p1 = (double*)(a->x_ptr.p_ptr)+offset0*a->stride+offset1;
    3154           0 :         p2 = (double*)(a->x_ptr.p_ptr)+offset1*a->stride+offset0;
    3155           0 :         for(i=0; i<len0; i++)
    3156             :         {
    3157           0 :             pcol = p2+i;
    3158           0 :             prow = p1+i*a->stride;
    3159           0 :             for(j=0; j<len1; j++)
    3160             :             {
    3161           0 :                 *pcol = *prow;
    3162           0 :                 pcol += a->stride;
    3163           0 :                 prow++;
    3164             :             }
    3165             :         }
    3166             :     }
    3167             : }
    3168             : /*
    3169             :  * this function copies lower part of diagonal block A0 to its upper part
    3170             :  * Block is specified by offset and size.
    3171             :  *
    3172             :  *     [ .          ]
    3173             :  *     [   A0       ]
    3174             :  * A = [       .    ]
    3175             :  *     [          . ]
    3176             :  *
    3177             :  */
    3178           0 : static void force_symmetric_rec_diag_stat(x_matrix *a, ae_int_t offset, ae_int_t len)
    3179             : {
    3180             :     double *p, *prow, *pcol;
    3181             :     ae_int_t i, j;
    3182             :     
    3183             :     /* try to split problem into two smaller ones */
    3184           0 :     if( len>x_nb )
    3185             :     {
    3186             :         ae_int_t n1, n2;
    3187           0 :         x_split_length(len, x_nb, &n1, &n2);
    3188           0 :         force_symmetric_rec_diag_stat(a, offset, n1);
    3189           0 :         force_symmetric_rec_diag_stat(a, offset+n1, n2);
    3190           0 :         force_symmetric_rec_off_stat(a, offset+n1, offset, n2, n1);
    3191           0 :         return;
    3192             :     }
    3193             :     
    3194             :     /* base case */
    3195           0 :     p = (double*)(a->x_ptr.p_ptr)+offset*a->stride+offset;
    3196           0 :     for(i=0; i<len; i++)
    3197             :     {
    3198           0 :         pcol = p+i;
    3199           0 :         prow = p+i*a->stride;
    3200           0 :         for(j=0; j<i; j++,pcol+=a->stride,prow++)
    3201           0 :             *pcol = *prow;
    3202             :     }
    3203             : }
    3204             : /*
    3205             :  * this function copies Hermitian transpose of offdiagonal block BL to
    3206             :  * its symmetric counterpart BU (see below). Block BL is specified by
    3207             :  * offsets (offset0,offset1) and sizes (len0,len1).
    3208             :  *
    3209             :  *     [ .          ]
    3210             :  *     [   A0  BU   ]
    3211             :  * A = [   BL  A1   ]
    3212             :  *     [          . ]
    3213             :  */
    3214           0 : static void force_hermitian_rec_off_stat(x_matrix *a, ae_int_t offset0, ae_int_t offset1, ae_int_t len0, ae_int_t len1)
    3215             : {
    3216             :     /* try to split problem into two smaller ones */
    3217           0 :     if( len0>x_nb || len1>x_nb )
    3218             :     {
    3219             :         ae_int_t n1, n2;
    3220           0 :         if( len0>len1 )
    3221             :         {
    3222           0 :             x_split_length(len0, x_nb, &n1, &n2);
    3223           0 :             force_hermitian_rec_off_stat(a, offset0,    offset1, n1, len1);
    3224           0 :             force_hermitian_rec_off_stat(a, offset0+n1, offset1, n2, len1);
    3225             :         }
    3226             :         else
    3227             :         {
    3228           0 :             x_split_length(len1, x_nb, &n1, &n2);
    3229           0 :             force_hermitian_rec_off_stat(a, offset0, offset1,    len0, n1);
    3230           0 :             force_hermitian_rec_off_stat(a, offset0, offset1+n1, len0, n2);
    3231             :         }
    3232           0 :         return;
    3233             :     }
    3234             :     else
    3235             :     {
    3236             :         /* base case */
    3237             :         ae_complex *p1, *p2, *prow, *pcol;
    3238             :         ae_int_t i, j;
    3239             : 
    3240           0 :         p1 = (ae_complex*)(a->x_ptr.p_ptr)+offset0*a->stride+offset1;
    3241           0 :         p2 = (ae_complex*)(a->x_ptr.p_ptr)+offset1*a->stride+offset0;
    3242           0 :         for(i=0; i<len0; i++)
    3243             :         {
    3244           0 :             pcol = p2+i;
    3245           0 :             prow = p1+i*a->stride;
    3246           0 :             for(j=0; j<len1; j++)
    3247             :             {
    3248           0 :                 *pcol = *prow;
    3249           0 :                 pcol += a->stride;
    3250           0 :                 prow++;
    3251             :             }
    3252             :         }
    3253             :     }
    3254             : }
    3255             : /*
    3256             :  * this function copies Hermitian transpose of lower part of
    3257             :  * diagonal block A0 to its upper part Block is specified by offset and size.
    3258             :  *
    3259             :  *     [ .          ]
    3260             :  *     [   A0       ]
    3261             :  * A = [       .    ]
    3262             :  *     [          . ]
    3263             :  *
    3264             :  */
    3265           0 : static void force_hermitian_rec_diag_stat(x_matrix *a, ae_int_t offset, ae_int_t len)
    3266             : {
    3267             :     ae_complex *p, *prow, *pcol;
    3268             :     ae_int_t i, j;
    3269             :     
    3270             :     /* try to split problem into two smaller ones */
    3271           0 :     if( len>x_nb )
    3272             :     {
    3273             :         ae_int_t n1, n2;
    3274           0 :         x_split_length(len, x_nb, &n1, &n2);
    3275           0 :         force_hermitian_rec_diag_stat(a, offset, n1);
    3276           0 :         force_hermitian_rec_diag_stat(a, offset+n1, n2);
    3277           0 :         force_hermitian_rec_off_stat(a, offset+n1, offset, n2, n1);
    3278           0 :         return;
    3279             :     }
    3280             :     
    3281             :     /* base case */
    3282           0 :     p = (ae_complex*)(a->x_ptr.p_ptr)+offset*a->stride+offset;
    3283           0 :     for(i=0; i<len; i++)
    3284             :     {
    3285           0 :         pcol = p+i;
    3286           0 :         prow = p+i*a->stride;
    3287           0 :         for(j=0; j<i; j++,pcol+=a->stride,prow++)
    3288           0 :             *pcol = *prow;
    3289             :     }
    3290             : }
    3291           0 : ae_bool x_is_symmetric(x_matrix *a)
    3292             : {
    3293             :     double mx, err;
    3294             :     ae_bool nonfinite;
    3295             :     ae_state _alglib_env_state;
    3296           0 :     if( a->datatype!=DT_REAL )
    3297           0 :         return ae_false;
    3298           0 :     if( a->cols!=a->rows )
    3299           0 :         return ae_false;
    3300           0 :     if( a->cols==0 || a->rows==0 )
    3301           0 :         return ae_true;
    3302           0 :     ae_state_init(&_alglib_env_state);
    3303           0 :     mx = 0;
    3304           0 :     err = 0;
    3305           0 :     nonfinite = ae_false;
    3306           0 :     is_symmetric_rec_diag_stat(a, 0, (ae_int_t)a->rows, &nonfinite, &mx, &err, &_alglib_env_state);
    3307           0 :     if( nonfinite )
    3308           0 :         return ae_false;
    3309           0 :     if( mx==0 )
    3310           0 :         return ae_true;
    3311           0 :     return err/mx<=1.0E-14;
    3312             : }
    3313           0 : ae_bool x_is_hermitian(x_matrix *a)
    3314             : {
    3315             :     double mx, err;
    3316             :     ae_bool nonfinite;
    3317             :     ae_state _alglib_env_state;
    3318           0 :     if( a->datatype!=DT_COMPLEX )
    3319           0 :         return ae_false;
    3320           0 :     if( a->cols!=a->rows )
    3321           0 :         return ae_false;
    3322           0 :     if( a->cols==0 || a->rows==0 )
    3323           0 :         return ae_true;
    3324           0 :     ae_state_init(&_alglib_env_state);
    3325           0 :     mx = 0;
    3326           0 :     err = 0;
    3327           0 :     nonfinite = ae_false;
    3328           0 :     is_hermitian_rec_diag_stat(a, 0, (ae_int_t)a->rows, &nonfinite, &mx, &err, &_alglib_env_state);
    3329           0 :     if( nonfinite )
    3330           0 :         return ae_false;
    3331           0 :     if( mx==0 )
    3332           0 :         return ae_true;
    3333           0 :     return err/mx<=1.0E-14;
    3334             : }
    3335           0 : ae_bool x_force_symmetric(x_matrix *a)
    3336             : {
    3337           0 :     if( a->datatype!=DT_REAL )
    3338           0 :         return ae_false;
    3339           0 :     if( a->cols!=a->rows )
    3340           0 :         return ae_false;
    3341           0 :     if( a->cols==0 || a->rows==0 )
    3342           0 :         return ae_true;
    3343           0 :     force_symmetric_rec_diag_stat(a, 0, (ae_int_t)a->rows);
    3344           0 :     return ae_true;
    3345             : }
    3346           0 : ae_bool x_force_hermitian(x_matrix *a)
    3347             : {
    3348           0 :     if( a->datatype!=DT_COMPLEX )
    3349           0 :         return ae_false;
    3350           0 :     if( a->cols!=a->rows )
    3351           0 :         return ae_false;
    3352           0 :     if( a->cols==0 || a->rows==0 )
    3353           0 :         return ae_true;
    3354           0 :     force_hermitian_rec_diag_stat(a, 0, (ae_int_t)a->rows);
    3355           0 :     return ae_true;
    3356             : }
    3357             : 
    3358           0 : ae_bool ae_is_symmetric(ae_matrix *a)
    3359             : {
    3360             :     x_matrix x;
    3361           0 :     x.owner = OWN_CALLER;
    3362           0 :     ae_x_attach_to_matrix(&x, a);
    3363           0 :     return x_is_symmetric(&x);
    3364             : }
    3365             : 
    3366           0 : ae_bool ae_is_hermitian(ae_matrix *a)
    3367             : {
    3368             :     x_matrix x;
    3369           0 :     x.owner = OWN_CALLER;
    3370           0 :     ae_x_attach_to_matrix(&x, a);
    3371           0 :     return x_is_hermitian(&x);
    3372             : }
    3373             : 
    3374           0 : ae_bool ae_force_symmetric(ae_matrix *a)
    3375             : {
    3376             :     x_matrix x;
    3377           0 :     x.owner = OWN_CALLER;
    3378           0 :     ae_x_attach_to_matrix(&x, a);
    3379           0 :     return x_force_symmetric(&x);
    3380             : }
    3381             : 
    3382           0 : ae_bool ae_force_hermitian(ae_matrix *a)
    3383             : {
    3384             :     x_matrix x;
    3385           0 :     x.owner = OWN_CALLER;
    3386           0 :     ae_x_attach_to_matrix(&x, a);
    3387           0 :     return x_force_hermitian(&x);
    3388             : }
    3389             : 
    3390             : /************************************************************************
    3391             : This function converts six-bit value (from 0 to 63)  to  character  (only
    3392             : digits, lowercase and uppercase letters, minus and underscore are used).
    3393             : 
    3394             : If v is negative or greater than 63, this function returns '?'.
    3395             : ************************************************************************/
    3396             : static char _sixbits2char_tbl[64] = { 
    3397             :         '0', '1', '2', '3', '4', '5', '6', '7',
    3398             :         '8', '9', 'A', 'B', 'C', 'D', 'E', 'F',
    3399             :         'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N',
    3400             :         'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V',
    3401             :         'W', 'X', 'Y', 'Z', 'a', 'b', 'c', 'd', 
    3402             :         'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 
    3403             :         'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 
    3404             :         'u', 'v', 'w', 'x', 'y', 'z', '-', '_' };
    3405             : 
    3406           0 : char ae_sixbits2char(ae_int_t v)
    3407             : {
    3408             :     
    3409           0 :     if( v<0 || v>63 )
    3410           0 :         return '?';
    3411           0 :     return _sixbits2char_tbl[v]; 
    3412             :     
    3413             :     /* v is correct, process it */
    3414             :     /*if( v<10 )
    3415             :         return '0'+v;
    3416             :     v -= 10;
    3417             :     if( v<26 )
    3418             :         return 'A'+v;
    3419             :     v -= 26;
    3420             :     if( v<26 )
    3421             :         return 'a'+v;
    3422             :     v -= 26;
    3423             :     return v==0 ? '-' : '_';*/
    3424             : }
    3425             : 
    3426             : /************************************************************************
    3427             : This function converts character to six-bit value (from 0 to 63).
    3428             : 
    3429             : This function is inverse of ae_sixbits2char()
    3430             : If c is not correct character, this function returns -1.
    3431             : ************************************************************************/
    3432             : static ae_int_t _ae_char2sixbits_tbl[] = {
    3433             :     -1, -1, -1, -1, -1, -1, -1, -1,
    3434             :     -1, -1, -1, -1, -1, -1, -1, -1,
    3435             :     -1, -1, -1, -1, -1, -1, -1, -1,
    3436             :     -1, -1, -1, -1, -1, -1, -1, -1,
    3437             :     -1, -1, -1, -1, -1, -1, -1, -1,
    3438             :     -1, -1, -1, -1, -1, 62, -1, -1,
    3439             :      0,  1,  2,  3,  4,  5,  6,  7,
    3440             :      8,  9, -1, -1, -1, -1, -1, -1,
    3441             :     -1, 10, 11, 12, 13, 14, 15, 16,
    3442             :     17, 18, 19, 20, 21, 22, 23, 24,
    3443             :     25, 26, 27, 28, 29, 30, 31, 32,
    3444             :     33, 34, 35, -1, -1, -1, -1, 63,
    3445             :     -1, 36, 37, 38, 39, 40, 41, 42,
    3446             :     43, 44, 45, 46, 47, 48, 49, 50,
    3447             :     51, 52, 53, 54, 55, 56, 57, 58,
    3448             :     59, 60, 61, -1, -1, -1, -1, -1 };
    3449           0 : ae_int_t ae_char2sixbits(char c)
    3450             : {
    3451           0 :     return (c>=0 && c<127) ? _ae_char2sixbits_tbl[(int)c] : -1;
    3452             : }
    3453             : 
    3454             : /************************************************************************
    3455             : This function converts three bytes (24 bits) to four six-bit values 
    3456             : (24 bits again).
    3457             : 
    3458             : src     pointer to three bytes
    3459             : dst     pointer to four ints
    3460             : ************************************************************************/
    3461           0 : void ae_threebytes2foursixbits(const unsigned char *src, ae_int_t *dst)
    3462             : {
    3463           0 :     dst[0] = src[0] & 0x3F;
    3464           0 :     dst[1] = (src[0]>>6) | ((src[1]&0x0F)<<2);
    3465           0 :     dst[2] = (src[1]>>4) | ((src[2]&0x03)<<4);
    3466           0 :     dst[3] = src[2]>>2;
    3467           0 : }
    3468             : 
    3469             : /************************************************************************
    3470             : This function converts four six-bit values (24 bits) to three bytes
    3471             : (24 bits again).
    3472             : 
    3473             : src     pointer to four ints
    3474             : dst     pointer to three bytes
    3475             : ************************************************************************/
    3476           0 : void ae_foursixbits2threebytes(const ae_int_t *src, unsigned char *dst)
    3477             : {
    3478           0 :     dst[0] = (unsigned char)(     src[0] | ((src[1]&0x03)<<6));
    3479           0 :     dst[1] = (unsigned char)((src[1]>>2) | ((src[2]&0x0F)<<4));
    3480           0 :     dst[2] = (unsigned char)((src[2]>>4) | (src[3]<<2));
    3481           0 : }
    3482             : 
    3483             : /************************************************************************
    3484             : This function serializes boolean value into buffer
    3485             : 
    3486             : v           boolean value to be serialized
    3487             : buf         buffer, at least 12 characters wide 
    3488             :             (11 chars for value, one for trailing zero)
    3489             : state       ALGLIB environment state
    3490             : ************************************************************************/
    3491           0 : void ae_bool2str(ae_bool v, char *buf, ae_state *state)
    3492             : {
    3493           0 :     char c = v ? '1' : '0';
    3494             :     ae_int_t i;
    3495           0 :     for(i=0; i<AE_SER_ENTRY_LENGTH; i++)
    3496           0 :         buf[i] = c;
    3497           0 :     buf[AE_SER_ENTRY_LENGTH] = 0;
    3498           0 : }
    3499             : 
    3500             : /************************************************************************
    3501             : This function unserializes boolean value from buffer
    3502             : 
    3503             : buf         buffer which contains value; leading spaces/tabs/newlines are 
    3504             :             ignored, traling spaces/tabs/newlines are treated as  end  of
    3505             :             the boolean value.
    3506             : state       ALGLIB environment state
    3507             : 
    3508             : This function raises an error in case unexpected symbol is found
    3509             : ************************************************************************/
    3510           0 : ae_bool ae_str2bool(const char *buf, ae_state *state, const char **pasttheend)
    3511             : {
    3512             :     ae_bool was0, was1;
    3513           0 :     const char *emsg = "ALGLIB: unable to read boolean value from stream";
    3514             :     
    3515           0 :     was0 = ae_false;
    3516           0 :     was1 = ae_false;
    3517           0 :     while( *buf==' ' || *buf=='\t' || *buf=='\n' || *buf=='\r' )
    3518           0 :         buf++;
    3519           0 :     while( *buf!=' ' && *buf!='\t' && *buf!='\n' && *buf!='\r' && *buf!=0 )
    3520             :     {
    3521           0 :         if( *buf=='0' )
    3522             :         {
    3523           0 :             was0 = ae_true;
    3524           0 :             buf++;
    3525           0 :             continue;
    3526             :         }
    3527           0 :         if( *buf=='1' )
    3528             :         {
    3529           0 :             was1 = ae_true;
    3530           0 :             buf++;
    3531           0 :             continue;
    3532             :         }
    3533           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3534             :     }
    3535           0 :     *pasttheend = buf;
    3536           0 :     if( (!was0) && (!was1) )
    3537           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3538           0 :     if( was0 && was1 )
    3539           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3540           0 :     return was1 ? ae_true : ae_false;
    3541             : }
    3542             : 
    3543             : /************************************************************************
    3544             : This function serializes integer value into buffer
    3545             : 
    3546             : v           integer value to be serialized
    3547             : buf         buffer, at least 12 characters wide 
    3548             :             (11 chars for value, one for trailing zero)
    3549             : state       ALGLIB environment state
    3550             : ************************************************************************/
    3551           0 : void ae_int2str(ae_int_t v, char *buf, ae_state *state)
    3552             : {
    3553             :     union _u
    3554             :     {
    3555             :         ae_int_t ival;
    3556             :         unsigned char bytes[9];
    3557             :     } u;
    3558             :     ae_int_t i;
    3559             :     ae_int_t sixbits[12];
    3560             :     unsigned char c;
    3561             :     
    3562             :     /*
    3563             :      * copy v to array of chars, sign extending it and 
    3564             :      * converting to little endian order
    3565             :      *
    3566             :      * because we don't want to mention size of ae_int_t explicitly, 
    3567             :      * we do it as follows:
    3568             :      * 1. we fill u.bytes by zeros or ones (depending on sign of v)
    3569             :      * 2. we copy v to u.ival
    3570             :      * 3. if we run on big endian architecture, we reorder u.bytes
    3571             :      * 4. now we have signed 64-bit representation of v stored in u.bytes
    3572             :      * 5. additionally, we set 9th byte of u.bytes to zero in order to
    3573             :      *    simplify conversion to six-bit representation
    3574             :      */
    3575           0 :     c = v<0 ? (unsigned char)0xFF : (unsigned char)0x00;
    3576           0 :     u.ival = v;
    3577           0 :     for(i=sizeof(ae_int_t); i<=8; i++) /* <=8 is preferred because it avoids unnecessary compiler warnings*/
    3578           0 :         u.bytes[i] = c;
    3579           0 :     u.bytes[8] = 0;
    3580           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3581             :     {
    3582           0 :         for(i=0; i<(ae_int_t)(sizeof(ae_int_t)/2); i++)
    3583             :         {
    3584             :             unsigned char tc;
    3585           0 :             tc = u.bytes[i];
    3586           0 :             u.bytes[i] = u.bytes[sizeof(ae_int_t)-1-i];
    3587           0 :             u.bytes[sizeof(ae_int_t)-1-i] = tc;
    3588             :         }
    3589             :     }
    3590             :     
    3591             :     /*
    3592             :      * convert to six-bit representation, output
    3593             :      *
    3594             :      * NOTE: last 12th element of sixbits is always zero, we do not output it
    3595             :      */
    3596           0 :     ae_threebytes2foursixbits(u.bytes+0, sixbits+0);
    3597           0 :     ae_threebytes2foursixbits(u.bytes+3, sixbits+4);
    3598           0 :     ae_threebytes2foursixbits(u.bytes+6, sixbits+8);        
    3599           0 :     for(i=0; i<AE_SER_ENTRY_LENGTH; i++)
    3600           0 :         buf[i] = ae_sixbits2char(sixbits[i]);
    3601           0 :     buf[AE_SER_ENTRY_LENGTH] = 0x00;
    3602           0 : }
    3603             : 
    3604             : /************************************************************************
    3605             : This function serializes 64-bit integer value into buffer
    3606             : 
    3607             : v           integer value to be serialized
    3608             : buf         buffer, at least 12 characters wide 
    3609             :             (11 chars for value, one for trailing zero)
    3610             : state       ALGLIB environment state
    3611             : ************************************************************************/
    3612           0 : void ae_int642str(ae_int64_t v, char *buf, ae_state *state)
    3613             : {
    3614             :     unsigned char bytes[9];
    3615             :     ae_int_t i;
    3616             :     ae_int_t sixbits[12];
    3617             :     
    3618             :     /*
    3619             :      * copy v to array of chars, sign extending it and 
    3620             :      * converting to little endian order
    3621             :      *
    3622             :      * because we don't want to mention size of ae_int_t explicitly, 
    3623             :      * we do it as follows:
    3624             :      * 1. we fill bytes by zeros or ones (depending on sign of v)
    3625             :      * 2. we memmove v to bytes
    3626             :      * 3. if we run on big endian architecture, we reorder bytes
    3627             :      * 4. now we have signed 64-bit representation of v stored in bytes
    3628             :      * 5. additionally, we set 9th byte of bytes to zero in order to
    3629             :      *    simplify conversion to six-bit representation
    3630             :      */
    3631           0 :     memset(bytes, v<0 ? 0xFF : 0x00, 8);
    3632           0 :     memmove(bytes, &v, 8);
    3633           0 :     bytes[8] = 0;
    3634           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3635             :     {
    3636           0 :         for(i=0; i<(ae_int_t)(sizeof(ae_int_t)/2); i++)
    3637             :         {
    3638             :             unsigned char tc;
    3639           0 :             tc = bytes[i];
    3640           0 :             bytes[i] = bytes[sizeof(ae_int_t)-1-i];
    3641           0 :             bytes[sizeof(ae_int_t)-1-i] = tc;
    3642             :         }
    3643             :     }
    3644             :     
    3645             :     /*
    3646             :      * convert to six-bit representation, output
    3647             :      *
    3648             :      * NOTE: last 12th element of sixbits is always zero, we do not output it
    3649             :      */
    3650           0 :     ae_threebytes2foursixbits(bytes+0, sixbits+0);
    3651           0 :     ae_threebytes2foursixbits(bytes+3, sixbits+4);
    3652           0 :     ae_threebytes2foursixbits(bytes+6, sixbits+8);        
    3653           0 :     for(i=0; i<AE_SER_ENTRY_LENGTH; i++)
    3654           0 :         buf[i] = ae_sixbits2char(sixbits[i]);
    3655           0 :     buf[AE_SER_ENTRY_LENGTH] = 0x00;
    3656           0 : }
    3657             : 
    3658             : /************************************************************************
    3659             : This function unserializes integer value from string
    3660             : 
    3661             : buf         buffer which contains value; leading spaces/tabs/newlines are 
    3662             :             ignored, traling spaces/tabs/newlines are treated as  end  of
    3663             :             the boolean value.
    3664             : state       ALGLIB environment state
    3665             : 
    3666             : This function raises an error in case unexpected symbol is found
    3667             : ************************************************************************/
    3668           0 : ae_int_t ae_str2int(const char *buf, ae_state *state, const char **pasttheend)
    3669             : {
    3670           0 :     const char *emsg = "ALGLIB: unable to read integer value from stream";
    3671             :     ae_int_t sixbits[12];
    3672             :     ae_int_t sixbitsread, i;
    3673             :     union _u
    3674             :     {
    3675             :         ae_int_t ival;
    3676             :         unsigned char bytes[9];
    3677             :     } u;
    3678             :     /* 
    3679             :      * 1. skip leading spaces
    3680             :      * 2. read and decode six-bit digits
    3681             :      * 3. set trailing digits to zeros
    3682             :      * 4. convert to little endian 64-bit integer representation
    3683             :      * 5. convert to big endian representation, if needed
    3684             :      */
    3685           0 :     while( *buf==' ' || *buf=='\t' || *buf=='\n' || *buf=='\r' )
    3686           0 :         buf++;
    3687           0 :     sixbitsread = 0;
    3688           0 :     while( *buf!=' ' && *buf!='\t' && *buf!='\n' && *buf!='\r' && *buf!=0 )
    3689             :     {
    3690             :         ae_int_t d;
    3691           0 :         d = ae_char2sixbits(*buf);
    3692           0 :         if( d<0 || sixbitsread>=AE_SER_ENTRY_LENGTH )
    3693           0 :             ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3694           0 :         sixbits[sixbitsread] = d;
    3695           0 :         sixbitsread++;
    3696           0 :         buf++;
    3697             :     }
    3698           0 :     *pasttheend = buf;
    3699           0 :     if( sixbitsread==0 )
    3700           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3701           0 :     for(i=sixbitsread; i<12; i++)
    3702           0 :         sixbits[i] = 0;
    3703           0 :     ae_foursixbits2threebytes(sixbits+0, u.bytes+0);
    3704           0 :     ae_foursixbits2threebytes(sixbits+4, u.bytes+3);
    3705           0 :     ae_foursixbits2threebytes(sixbits+8, u.bytes+6);
    3706           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3707             :     {
    3708           0 :         for(i=0; i<(ae_int_t)(sizeof(ae_int_t)/2); i++)
    3709             :         {
    3710             :             unsigned char tc;
    3711           0 :             tc = u.bytes[i];
    3712           0 :             u.bytes[i] = u.bytes[sizeof(ae_int_t)-1-i];
    3713           0 :             u.bytes[sizeof(ae_int_t)-1-i] = tc;
    3714             :         }
    3715             :     }
    3716           0 :     return u.ival;
    3717             : }
    3718             : 
    3719             : /************************************************************************
    3720             : This function unserializes 64-bit integer value from string
    3721             : 
    3722             : buf         buffer which contains value; leading spaces/tabs/newlines are 
    3723             :             ignored, traling spaces/tabs/newlines are treated as  end  of
    3724             :             the boolean value.
    3725             : state       ALGLIB environment state
    3726             : 
    3727             : This function raises an error in case unexpected symbol is found
    3728             : ************************************************************************/
    3729           0 : ae_int64_t ae_str2int64(const char *buf, ae_state *state, const char **pasttheend)
    3730             : {
    3731           0 :     const char *emsg = "ALGLIB: unable to read integer value from stream";
    3732             :     ae_int_t sixbits[12];
    3733             :     ae_int_t sixbitsread, i;
    3734             :     unsigned char bytes[9];
    3735             :     ae_int64_t result;
    3736             :     
    3737             :     /* 
    3738             :      * 1. skip leading spaces
    3739             :      * 2. read and decode six-bit digits
    3740             :      * 3. set trailing digits to zeros
    3741             :      * 4. convert to little endian 64-bit integer representation
    3742             :      * 5. convert to big endian representation, if needed
    3743             :      */
    3744           0 :     while( *buf==' ' || *buf=='\t' || *buf=='\n' || *buf=='\r' )
    3745           0 :         buf++;
    3746           0 :     sixbitsread = 0;
    3747           0 :     while( *buf!=' ' && *buf!='\t' && *buf!='\n' && *buf!='\r' && *buf!=0 )
    3748             :     {
    3749             :         ae_int_t d;
    3750           0 :         d = ae_char2sixbits(*buf);
    3751           0 :         if( d<0 || sixbitsread>=AE_SER_ENTRY_LENGTH )
    3752           0 :             ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3753           0 :         sixbits[sixbitsread] = d;
    3754           0 :         sixbitsread++;
    3755           0 :         buf++;
    3756             :     }
    3757           0 :     *pasttheend = buf;
    3758           0 :     if( sixbitsread==0 )
    3759           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3760           0 :     for(i=sixbitsread; i<12; i++)
    3761           0 :         sixbits[i] = 0;
    3762           0 :     ae_foursixbits2threebytes(sixbits+0, bytes+0);
    3763           0 :     ae_foursixbits2threebytes(sixbits+4, bytes+3);
    3764           0 :     ae_foursixbits2threebytes(sixbits+8, bytes+6);
    3765           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3766             :     {
    3767           0 :         for(i=0; i<(ae_int_t)(sizeof(ae_int_t)/2); i++)
    3768             :         {
    3769             :             unsigned char tc;
    3770           0 :             tc = bytes[i];
    3771           0 :             bytes[i] = bytes[sizeof(ae_int_t)-1-i];
    3772           0 :             bytes[sizeof(ae_int_t)-1-i] = tc;
    3773             :         }
    3774             :     }
    3775           0 :     memmove(&result, bytes, sizeof(result));
    3776           0 :     return result;
    3777             : }
    3778             : 
    3779             : 
    3780             : /************************************************************************
    3781             : This function serializes double value into buffer
    3782             : 
    3783             : v           double value to be serialized
    3784             : buf         buffer, at least 12 characters wide 
    3785             :             (11 chars for value, one for trailing zero)
    3786             : state       ALGLIB environment state
    3787             : ************************************************************************/
    3788           0 : void ae_double2str(double v, char *buf, ae_state *state)
    3789             : {
    3790             :     union _u
    3791             :     {
    3792             :         double dval;
    3793             :         unsigned char bytes[9];
    3794             :     } u;
    3795             :     ae_int_t i;
    3796             :     ae_int_t sixbits[12];
    3797             : 
    3798             :     /*
    3799             :      * handle special quantities
    3800             :      */
    3801           0 :     if( ae_isnan(v, state) )
    3802             :     {
    3803           0 :         const char *s = ".nan_______";
    3804           0 :         memmove(buf, s, strlen(s)+1);
    3805           0 :         return;
    3806             :     }
    3807           0 :     if( ae_isposinf(v, state) )
    3808             :     {
    3809           0 :         const char *s = ".posinf____";
    3810           0 :         memmove(buf, s, strlen(s)+1);
    3811           0 :         return;
    3812             :     }
    3813           0 :     if( ae_isneginf(v, state) )
    3814             :     {
    3815           0 :         const char *s = ".neginf____";
    3816           0 :         memmove(buf, s, strlen(s)+1);
    3817           0 :         return;
    3818             :     }
    3819             :     
    3820             :     /*
    3821             :      * process general case:
    3822             :      * 1. copy v to array of chars
    3823             :      * 2. set 9th byte of u.bytes to zero in order to
    3824             :      *    simplify conversion to six-bit representation
    3825             :      * 3. convert to little endian (if needed)
    3826             :      * 4. convert to six-bit representation
    3827             :      *    (last 12th element of sixbits is always zero, we do not output it)
    3828             :      */
    3829           0 :     u.dval = v;
    3830           0 :     u.bytes[8] = 0;
    3831           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3832             :     {
    3833           0 :         for(i=0; i<(ae_int_t)(sizeof(double)/2); i++)
    3834             :         {
    3835             :             unsigned char tc;
    3836           0 :             tc = u.bytes[i];
    3837           0 :             u.bytes[i] = u.bytes[sizeof(double)-1-i];
    3838           0 :             u.bytes[sizeof(double)-1-i] = tc;
    3839             :         }
    3840             :     }
    3841           0 :     ae_threebytes2foursixbits(u.bytes+0, sixbits+0);
    3842           0 :     ae_threebytes2foursixbits(u.bytes+3, sixbits+4);
    3843           0 :     ae_threebytes2foursixbits(u.bytes+6, sixbits+8);
    3844           0 :     for(i=0; i<AE_SER_ENTRY_LENGTH; i++)
    3845           0 :         buf[i] = ae_sixbits2char(sixbits[i]);
    3846           0 :     buf[AE_SER_ENTRY_LENGTH] = 0x00;
    3847             : }
    3848             : 
    3849             : /************************************************************************
    3850             : This function unserializes double value from string
    3851             : 
    3852             : buf         buffer which contains value; leading spaces/tabs/newlines are 
    3853             :             ignored, traling spaces/tabs/newlines are treated as  end  of
    3854             :             the boolean value.
    3855             : state       ALGLIB environment state
    3856             : 
    3857             : This function raises an error in case unexpected symbol is found
    3858             : ************************************************************************/
    3859           0 : double ae_str2double(const char *buf, ae_state *state, const char **pasttheend)
    3860             : {
    3861           0 :     const char *emsg = "ALGLIB: unable to read double value from stream";
    3862             :     ae_int_t sixbits[12];
    3863             :     ae_int_t sixbitsread, i;
    3864             :     union _u
    3865             :     {
    3866             :         double dval;
    3867             :         unsigned char bytes[9];
    3868             :     } u;
    3869             :     
    3870             :     
    3871             :      /* 
    3872             :       * skip leading spaces
    3873             :       */
    3874           0 :     while( *buf==' ' || *buf=='\t' || *buf=='\n' || *buf=='\r' )
    3875           0 :         buf++;
    3876             :       
    3877             :     /*
    3878             :      * Handle special cases
    3879             :      */
    3880           0 :     if( *buf=='.' )
    3881             :     {
    3882           0 :         const char *s_nan =    ".nan_______";
    3883           0 :         const char *s_posinf = ".posinf____";
    3884           0 :         const char *s_neginf = ".neginf____";
    3885           0 :         if( strncmp(buf, s_nan, strlen(s_nan))==0 )
    3886             :         {
    3887           0 :             *pasttheend = buf+strlen(s_nan);
    3888           0 :             return state->v_nan;
    3889             :         }
    3890           0 :         if( strncmp(buf, s_posinf, strlen(s_posinf))==0 )
    3891             :         {
    3892           0 :             *pasttheend = buf+strlen(s_posinf);
    3893           0 :             return state->v_posinf;
    3894             :         }
    3895           0 :         if( strncmp(buf, s_neginf, strlen(s_neginf))==0 )
    3896             :         {
    3897           0 :             *pasttheend = buf+strlen(s_neginf);
    3898           0 :             return state->v_neginf;
    3899             :         }
    3900           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3901             :     }
    3902             :     
    3903             :     /* 
    3904             :      * General case:
    3905             :      * 1. read and decode six-bit digits
    3906             :      * 2. check that all 11 digits were read
    3907             :      * 3. set last 12th digit to zero (needed for simplicity of conversion)
    3908             :      * 4. convert to 8 bytes
    3909             :      * 5. convert to big endian representation, if needed
    3910             :      */
    3911           0 :     sixbitsread = 0;
    3912           0 :     while( *buf!=' ' && *buf!='\t' && *buf!='\n' && *buf!='\r' && *buf!=0 )
    3913             :     {
    3914             :         ae_int_t d;
    3915           0 :         d = ae_char2sixbits(*buf);
    3916           0 :         if( d<0 || sixbitsread>=AE_SER_ENTRY_LENGTH )
    3917           0 :             ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3918           0 :         sixbits[sixbitsread] = d;
    3919           0 :         sixbitsread++;
    3920           0 :         buf++;
    3921             :     }
    3922           0 :     *pasttheend = buf;
    3923           0 :     if( sixbitsread!=AE_SER_ENTRY_LENGTH )
    3924           0 :         ae_break(state, ERR_ASSERTION_FAILED, emsg);
    3925           0 :     sixbits[AE_SER_ENTRY_LENGTH] = 0;
    3926           0 :     ae_foursixbits2threebytes(sixbits+0, u.bytes+0);
    3927           0 :     ae_foursixbits2threebytes(sixbits+4, u.bytes+3);
    3928           0 :     ae_foursixbits2threebytes(sixbits+8, u.bytes+6);
    3929           0 :     if( state->endianness==AE_BIG_ENDIAN )
    3930             :     {
    3931           0 :         for(i=0; i<(ae_int_t)(sizeof(double)/2); i++)
    3932             :         {
    3933             :             unsigned char tc;
    3934           0 :             tc = u.bytes[i];
    3935           0 :             u.bytes[i] = u.bytes[sizeof(double)-1-i];
    3936           0 :             u.bytes[sizeof(double)-1-i] = tc;
    3937             :         }
    3938             :     }
    3939           0 :     return u.dval;
    3940             : }
    3941             : 
    3942             : 
    3943             : /************************************************************************
    3944             : This function performs given number of spin-wait iterations
    3945             : ************************************************************************/
    3946           0 : void ae_spin_wait(ae_int_t cnt)
    3947             : {
    3948             :     /*
    3949             :      * these strange operations with ae_never_change_it are necessary to
    3950             :      * prevent compiler optimization of the loop.
    3951             :      */
    3952             :     volatile ae_int_t i;
    3953             :     
    3954             :     /* very unlikely because no one will wait for such amount of cycles */
    3955           0 :     if( cnt>0x12345678 )
    3956           0 :         ae_never_change_it = cnt%10;
    3957             :     
    3958             :     /* spin wait, test condition which will never be true */
    3959           0 :     for(i=0; i<cnt; i++)
    3960           0 :         if( ae_never_change_it>0 )
    3961           0 :             ae_never_change_it--;
    3962           0 : }
    3963             : 
    3964             : 
    3965             : /************************************************************************
    3966             : This function causes the calling thread to relinquish the CPU. The thread
    3967             : is moved to the end of the queue and some other thread gets to run.
    3968             : 
    3969             : NOTE: this function should NOT be called when AE_OS is AE_UNKNOWN  -  the
    3970             :       whole program will be abnormally terminated.
    3971             : ************************************************************************/
    3972           0 : void ae_yield()
    3973             : {
    3974             : #if AE_OS==AE_WINDOWS
    3975             :     if( !SwitchToThread() )
    3976             :         Sleep(0);
    3977             : #elif AE_OS==AE_POSIX
    3978             :     sched_yield();
    3979             : #else
    3980           0 :     abort();
    3981             : #endif
    3982             : }
    3983             : 
    3984             : /************************************************************************
    3985             : This function initializes _lock structure which  is  internally  used  by
    3986             : ae_lock high-level structure.
    3987             : 
    3988             : _lock structure is statically allocated, no malloc() calls  is  performed
    3989             : during its allocation. However, you have to call  _ae_free_lock_raw()  in
    3990             : order to deallocate this lock properly.
    3991             : ************************************************************************/
    3992           0 : void _ae_init_lock_raw(_lock *p)
    3993             : {
    3994             : #if AE_OS==AE_WINDOWS
    3995             :     p->p_lock = (ae_int_t*)ae_align((void*)(&p->buf),AE_LOCK_ALIGNMENT);
    3996             :     p->p_lock[0] = 0;
    3997             : #elif AE_OS==AE_POSIX
    3998             :     pthread_mutex_init(&p->mutex, NULL);
    3999             : #else
    4000           0 :     p->is_locked = ae_false;
    4001             : #endif
    4002           0 : }
    4003             : 
    4004             : 
    4005             : /************************************************************************
    4006             : This function acquires _lock structure.
    4007             : 
    4008             : It is low-level workhorse utilized by ae_acquire_lock().
    4009             : ************************************************************************/
    4010           0 : void _ae_acquire_lock_raw(_lock *p)
    4011             : {
    4012             : #if AE_OS==AE_WINDOWS
    4013             :     ae_int_t cnt = 0;
    4014             : #ifdef AE_SMP_DEBUGCOUNTERS
    4015             :     InterlockedIncrement((LONG volatile *)&_ae_dbg_lock_acquisitions);
    4016             : #endif
    4017             :     for(;;)
    4018             :     {
    4019             :                 if( InterlockedCompareExchange((LONG volatile *)p->p_lock, 1, 0)==0 )
    4020             :                     return;
    4021             :         ae_spin_wait(AE_LOCK_CYCLES);
    4022             : #ifdef AE_SMP_DEBUGCOUNTERS
    4023             :         InterlockedIncrement((LONG volatile *)&_ae_dbg_lock_spinwaits);
    4024             : #endif
    4025             :         cnt++;
    4026             :         if( cnt%AE_LOCK_TESTS_BEFORE_YIELD==0 )
    4027             :         {
    4028             : #ifdef AE_SMP_DEBUGCOUNTERS
    4029             :             InterlockedIncrement((LONG volatile *)&_ae_dbg_lock_yields);
    4030             : #endif
    4031             :             ae_yield();
    4032             :         }
    4033             :     }
    4034             : #elif AE_OS==AE_POSIX
    4035             :     ae_int_t cnt = 0;
    4036             :     for(;;)
    4037             :     {
    4038             :                 if(  pthread_mutex_trylock(&p->mutex)==0 )
    4039             :                     return;
    4040             :         ae_spin_wait(AE_LOCK_CYCLES);
    4041             :         cnt++;
    4042             :         if( cnt%AE_LOCK_TESTS_BEFORE_YIELD==0 )
    4043             :             ae_yield();
    4044             :     }
    4045             :    ;
    4046             : #else
    4047           0 :     AE_CRITICAL_ASSERT(!p->is_locked);
    4048           0 :     p->is_locked = ae_true;
    4049             : #endif
    4050           0 : }
    4051             : 
    4052             : 
    4053             : /************************************************************************
    4054             : This function releases _lock structure.
    4055             : 
    4056             : It is low-level lock function which is used by ae_release_lock.
    4057             : ************************************************************************/
    4058           0 : void _ae_release_lock_raw(_lock *p)
    4059             : {
    4060             : #if AE_OS==AE_WINDOWS
    4061             :     InterlockedExchange((LONG volatile *)p->p_lock, 0);
    4062             : #elif AE_OS==AE_POSIX
    4063             :     pthread_mutex_unlock(&p->mutex);
    4064             : #else
    4065           0 :     p->is_locked = ae_false;
    4066             : #endif
    4067           0 : }
    4068             : 
    4069             : 
    4070             : /************************************************************************
    4071             : This function frees _lock structure.
    4072             : ************************************************************************/
    4073           0 : void _ae_free_lock_raw(_lock *p)
    4074             : {
    4075             : #if AE_OS==AE_POSIX
    4076             :     pthread_mutex_destroy(&p->mutex);
    4077             : #endif
    4078           0 : }
    4079             : 
    4080             : 
    4081             : /************************************************************************
    4082             : This function initializes ae_lock structure.
    4083             : 
    4084             : INPUT PARAMETERS:
    4085             :     lock                -   pointer to lock structure, must be zero-filled
    4086             :     state               -   pointer to state structure, used for exception
    4087             :                             handling and management of automatic objects.
    4088             :     make_automatic      -   if true, lock object is added to automatic
    4089             :                             memory management list.
    4090             : 
    4091             : NOTE: as a special exception, this function allows you  to  specify  NULL
    4092             :       state pointer. In this case all exception arising during construction
    4093             :       are handled as critical failures, with abort() being called.
    4094             :       make_automatic must be false on such calls.
    4095             : ************************************************************************/
    4096           0 : void ae_init_lock(ae_lock *lock, ae_state *state, ae_bool make_automatic)
    4097             : {
    4098             :     _lock *p;
    4099           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(lock,sizeof(*lock)));
    4100           0 :     if(state==NULL)
    4101             :     {
    4102             :         ae_state _tmp_state;
    4103           0 :         AE_CRITICAL_ASSERT(!make_automatic);
    4104           0 :         ae_state_init(&_tmp_state);
    4105           0 :         ae_init_lock(lock, &_tmp_state, ae_false);
    4106           0 :         ae_state_clear(&_tmp_state);
    4107           0 :         return;
    4108             :     }
    4109           0 :     lock->eternal = ae_false;
    4110           0 :     ae_db_init(&lock->db, sizeof(_lock), state, make_automatic);
    4111           0 :     lock->lock_ptr = lock->db.ptr;
    4112           0 :     p = (_lock*)lock->lock_ptr;
    4113           0 :     _ae_init_lock_raw(p);
    4114             : }
    4115             : 
    4116             : /************************************************************************
    4117             : This function initializes "eternal" ae_lock structure which  is  expected
    4118             : to persist until the end of the execution of the program.  Eternal  locks
    4119             : can not be deallocated (cleared) and  do  not  increase debug  allocation
    4120             : counters.  Errors  during  allocation  of eternal  locks  are  considered
    4121             : critical exceptions and handled by calling abort().
    4122             : 
    4123             : INPUT PARAMETERS:
    4124             :     lock                -   pointer to lock structure, must be zero-filled
    4125             :     state               -   pointer to state structure, used for exception
    4126             :                             handling and management of automatic objects;
    4127             :                             non-NULL.
    4128             :     make_automatic      -   if true, lock object is added to automatic
    4129             :                             memory management list.
    4130             : ************************************************************************/
    4131           0 : void ae_init_lock_eternal(ae_lock *lock)
    4132             : {
    4133             :     _lock *p;
    4134           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(lock,sizeof(*lock)));
    4135           0 :     lock->eternal = ae_true;
    4136           0 :     lock->lock_ptr = eternal_malloc(sizeof(_lock));
    4137           0 :     p = (_lock*)lock->lock_ptr;
    4138           0 :     _ae_init_lock_raw(p);
    4139           0 : }
    4140             : 
    4141             : 
    4142             : /************************************************************************
    4143             : This function acquires lock. In case lock is busy, we perform several
    4144             : iterations inside tight loop before trying again.
    4145             : ************************************************************************/
    4146           0 : void ae_acquire_lock(ae_lock *lock)
    4147             : {
    4148             :     _lock *p;
    4149           0 :     p = (_lock*)lock->lock_ptr;
    4150           0 :     _ae_acquire_lock_raw(p);
    4151           0 : }
    4152             : 
    4153             : 
    4154             : /************************************************************************
    4155             : This function releases lock.
    4156             : ************************************************************************/
    4157           0 : void ae_release_lock(ae_lock *lock)
    4158             : {
    4159             :     _lock *p;
    4160           0 :     p = (_lock*)lock->lock_ptr;
    4161           0 :     _ae_release_lock_raw(p);
    4162           0 : }
    4163             : 
    4164             : 
    4165             : /************************************************************************
    4166             : This function frees ae_lock structure.
    4167             : ************************************************************************/
    4168           0 : void ae_free_lock(ae_lock *lock)
    4169             : {
    4170             :     _lock *p;
    4171           0 :     AE_CRITICAL_ASSERT(!lock->eternal);
    4172           0 :     p = (_lock*)lock->lock_ptr;
    4173           0 :     if( p!=NULL )
    4174           0 :         _ae_free_lock_raw(p);
    4175           0 :     ae_db_free(&lock->db);
    4176           0 : }
    4177             : 
    4178             : 
    4179             : /************************************************************************
    4180             : This function creates ae_shared_pool structure.
    4181             : 
    4182             : dst                 destination shared pool, must be zero-filled
    4183             :                     already allocated, but not initialized.
    4184             : state               pointer to current state structure. Can not be NULL.
    4185             :                     used for exception handling (say, allocation error results
    4186             :                     in longjmp call).
    4187             : make_automatic      if true, vector will be registered in the current frame
    4188             :                     of the state structure;
    4189             :                       
    4190             : Error handling:
    4191             : * on failure calls ae_break() with NULL state pointer. Usually it  results
    4192             :   in abort() call.
    4193             : 
    4194             : dst is assumed to be uninitialized, its fields are ignored.
    4195             : ************************************************************************/
    4196           0 : void ae_shared_pool_init(void *_dst, ae_state *state, ae_bool make_automatic)
    4197             : {
    4198             :     ae_shared_pool *dst;
    4199             :     
    4200           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    4201           0 :     dst = (ae_shared_pool*)_dst;
    4202           0 :     AE_CRITICAL_ASSERT(ae_check_zeros(dst,sizeof(*dst)));
    4203             :     
    4204             :     /* init */
    4205           0 :     dst->seed_object = NULL;
    4206           0 :     dst->recycled_objects = NULL;
    4207           0 :     dst->recycled_entries = NULL;
    4208           0 :     dst->enumeration_counter = NULL;
    4209           0 :     dst->size_of_object = 0;
    4210           0 :     dst->init = NULL;
    4211           0 :     dst->init_copy = NULL;
    4212           0 :     dst->destroy = NULL;
    4213           0 :     dst->frame_entry.deallocator = ae_shared_pool_destroy;
    4214           0 :     dst->frame_entry.ptr = dst;
    4215           0 :     if( make_automatic )
    4216           0 :         ae_db_attach(&dst->frame_entry, state);
    4217           0 :     ae_init_lock(&dst->pool_lock, state, ae_false);
    4218           0 : }
    4219             : 
    4220             : 
    4221             : /************************************************************************
    4222             : This function clears all dynamically allocated fields of the pool except
    4223             : for the lock. It does NOT try to acquire pool_lock.
    4224             : 
    4225             : NOTE: this function is NOT thread-safe, it is not protected by lock.
    4226             : ************************************************************************/
    4227           0 : static void ae_shared_pool_internalclear(ae_shared_pool *dst)
    4228             : {
    4229             :     ae_shared_pool_entry *ptr, *tmp;
    4230             :     
    4231             :     /* destroy seed */
    4232           0 :     if( dst->seed_object!=NULL )
    4233             :     {
    4234           0 :         dst->destroy((void*)dst->seed_object);
    4235           0 :         ae_free((void*)dst->seed_object);
    4236           0 :         dst->seed_object = NULL;
    4237             :     }
    4238             :     
    4239             :     /* destroy recycled objects */
    4240           0 :     for(ptr=dst->recycled_objects; ptr!=NULL;)
    4241             :     {
    4242           0 :         tmp = (ae_shared_pool_entry*)ptr->next_entry;
    4243           0 :         dst->destroy(ptr->obj);
    4244           0 :         ae_free(ptr->obj);
    4245           0 :         ae_free(ptr);
    4246           0 :         ptr = tmp;
    4247             :     }
    4248           0 :     dst->recycled_objects = NULL;
    4249             :     
    4250             :     /* destroy recycled entries */
    4251           0 :     for(ptr=dst->recycled_entries; ptr!=NULL;)
    4252             :     {
    4253           0 :         tmp = (ae_shared_pool_entry*)ptr->next_entry;
    4254           0 :         ae_free(ptr);
    4255           0 :         ptr = tmp;
    4256             :     }
    4257           0 :     dst->recycled_entries = NULL;
    4258           0 : }
    4259             : 
    4260             : 
    4261             : /************************************************************************
    4262             : This function creates copy of ae_shared_pool.
    4263             : 
    4264             : dst                 destination pool, must be zero-filled
    4265             : src                 source pool
    4266             : state               pointer to current state structure. Can not be NULL.
    4267             :                     used for exception handling (say, allocation error results
    4268             :                     in longjmp call).
    4269             : make_automatic      if true, vector will be registered in the current frame
    4270             :                     of the state structure;
    4271             : 
    4272             : dst is assumed to be uninitialized, its fields are ignored.
    4273             : 
    4274             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4275             :       you should NOT call it when lock can be used by another thread.
    4276             : ************************************************************************/
    4277           0 : void ae_shared_pool_init_copy(void *_dst, void *_src, ae_state *state, ae_bool make_automatic)
    4278             : {
    4279             :     ae_shared_pool *dst, *src;
    4280             :     ae_shared_pool_entry *ptr;
    4281             :     
    4282             :     /* state!=NULL, allocation errors result in exception */
    4283             :     /* AE_CRITICAL_ASSERT(state!=NULL); */
    4284             :     
    4285           0 :     dst = (ae_shared_pool*)_dst;
    4286           0 :     src = (ae_shared_pool*)_src;
    4287           0 :     ae_shared_pool_init(dst, state, make_automatic);
    4288             :     
    4289             :     /* copy non-pointer fields */
    4290           0 :     dst->size_of_object = src->size_of_object;
    4291           0 :     dst->init = src->init;
    4292           0 :     dst->init_copy = src->init_copy;
    4293           0 :     dst->destroy = src->destroy;
    4294             :     
    4295             :     /* copy seed object */
    4296           0 :     if( src->seed_object!=NULL )
    4297             :     {
    4298           0 :         dst->seed_object = ae_malloc(dst->size_of_object, state);
    4299           0 :         memset(dst->seed_object, 0, dst->size_of_object);
    4300           0 :         dst->init_copy(dst->seed_object, src->seed_object, state, ae_false);
    4301             :     }
    4302             :     
    4303             :     /* copy recycled objects */
    4304           0 :     dst->recycled_objects = NULL;
    4305           0 :     for(ptr=src->recycled_objects; ptr!=NULL; ptr=(ae_shared_pool_entry*)ptr->next_entry)
    4306             :     {
    4307             :         ae_shared_pool_entry *tmp;
    4308             :         
    4309             :         /* allocate entry, immediately add to the recycled list
    4310             :            (we do not want to lose it in case of future malloc failures) */
    4311           0 :         tmp = (ae_shared_pool_entry*)ae_malloc(sizeof(ae_shared_pool_entry), state);
    4312           0 :         memset(tmp, 0, sizeof(*tmp));
    4313           0 :         tmp->next_entry = dst->recycled_objects;
    4314           0 :         dst->recycled_objects = tmp;
    4315             :         
    4316             :         /* prepare place for object, init_copy() it */
    4317           0 :         tmp->obj =  ae_malloc(dst->size_of_object, state);
    4318           0 :         memset(tmp->obj, 0, dst->size_of_object);
    4319           0 :         dst->init_copy(tmp->obj, ptr->obj, state, ae_false);
    4320             :     }
    4321             :     
    4322             :     /* recycled entries are not copied because they do not store any information */
    4323           0 :     dst->recycled_entries = NULL;
    4324             :     
    4325             :     /* enumeration counter is reset on copying */
    4326           0 :     dst->enumeration_counter = NULL;
    4327             :     
    4328             :     /* initialize frame record */
    4329           0 :     dst->frame_entry.deallocator = ae_shared_pool_destroy;
    4330           0 :     dst->frame_entry.ptr = dst;
    4331           0 : }
    4332             : 
    4333             : 
    4334             : /************************************************************************
    4335             : This function performs destruction of the pool object.
    4336             : 
    4337             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4338             :       you should NOT call it when pool can be used by another thread.
    4339             : ************************************************************************/
    4340           0 : void ae_shared_pool_clear(void *_dst)
    4341             : {
    4342           0 :     ae_shared_pool *dst = (ae_shared_pool*)_dst;
    4343             :     
    4344             :     /* clear seed and lists */
    4345           0 :     ae_shared_pool_internalclear(dst);
    4346             :     
    4347             :     /* clear fields */
    4348           0 :     dst->seed_object = NULL;
    4349           0 :     dst->recycled_objects = NULL;
    4350           0 :     dst->recycled_entries = NULL;
    4351           0 :     dst->enumeration_counter = NULL;
    4352           0 :     dst->size_of_object = 0;
    4353           0 :     dst->init = NULL;
    4354           0 :     dst->init_copy = NULL;
    4355           0 :     dst->destroy = NULL;
    4356           0 : }
    4357             : 
    4358           0 : void ae_shared_pool_destroy(void *_dst)
    4359             : {
    4360           0 :     ae_shared_pool *dst = (ae_shared_pool*)_dst;
    4361           0 :     ae_shared_pool_clear(_dst);
    4362           0 :     ae_free_lock(&dst->pool_lock);
    4363           0 : }
    4364             : 
    4365             : 
    4366             : /************************************************************************
    4367             : This function returns True, if internal seed object was set.  It  returns
    4368             : False for un-seeded pool.
    4369             : 
    4370             : dst                 destination pool (initialized by constructor function)
    4371             : 
    4372             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4373             :       you should NOT call it when lock can be used by another thread.
    4374             : ************************************************************************/
    4375           0 : ae_bool ae_shared_pool_is_initialized(void *_dst)
    4376             : {
    4377           0 :     ae_shared_pool *dst = (ae_shared_pool*)_dst;
    4378           0 :     return dst->seed_object!=NULL;
    4379             : }
    4380             : 
    4381             : 
    4382             : /************************************************************************
    4383             : This function sets internal seed object. All objects owned by the pool
    4384             : (current seed object, recycled objects) are automatically freed.
    4385             : 
    4386             : dst                 destination pool (initialized by constructor function)
    4387             : seed_object         new seed object
    4388             : size_of_object      sizeof(), used to allocate memory
    4389             : init                constructor function
    4390             : init_copy           copy constructor
    4391             : clear               destructor function
    4392             : state               ALGLIB environment state
    4393             : 
    4394             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4395             :       you should NOT call it when lock can be used by another thread.
    4396             : ************************************************************************/
    4397           0 : void ae_shared_pool_set_seed(
    4398             :     ae_shared_pool  *dst,
    4399             :     void            *seed_object,
    4400             :     ae_int_t        size_of_object,
    4401             :     void            (*init)(void* dst, ae_state* state, ae_bool make_automatic),
    4402             :     void            (*init_copy)(void* dst, void* src, ae_state* state, ae_bool make_automatic),
    4403             :     void            (*destroy)(void* ptr),
    4404             :     ae_state        *state)
    4405             : {
    4406             :     /* state!=NULL, allocation errors result in exception */
    4407           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    4408             :     
    4409             :     /* destroy internal objects */
    4410           0 :     ae_shared_pool_internalclear(dst);
    4411             :     
    4412             :     /* set non-pointer fields */
    4413           0 :     dst->size_of_object = size_of_object;
    4414           0 :     dst->init = init;
    4415           0 :     dst->init_copy = init_copy;
    4416           0 :     dst->destroy = destroy;
    4417             :     
    4418             :     /* set seed object */
    4419           0 :     dst->seed_object = ae_malloc(size_of_object, state);
    4420           0 :     memset(dst->seed_object, 0, size_of_object);
    4421           0 :     init_copy(dst->seed_object, seed_object, state, ae_false);
    4422           0 : }
    4423             : 
    4424             : 
    4425             : /************************************************************************
    4426             : This  function  retrieves  a  copy  of  the seed object from the pool and
    4427             : stores it to target smart pointer ptr.
    4428             : 
    4429             : In case target pointer owns non-NULL  value,  it  is  deallocated  before
    4430             : storing value retrieved from pool. Target pointer becomes  owner  of  the
    4431             : value which was retrieved from pool.
    4432             : 
    4433             : pool                pool
    4434             : pptr                pointer to ae_smart_ptr structure
    4435             : state               ALGLIB environment state
    4436             : 
    4437             : NOTE: this function IS thread-safe.  It  acquires  pool  lock  during its
    4438             :       operation and can be used simultaneously from several threads.
    4439             : ************************************************************************/
    4440           0 : void ae_shared_pool_retrieve(
    4441             :     ae_shared_pool  *pool,
    4442             :     ae_smart_ptr    *pptr,
    4443             :     ae_state        *state)
    4444             : {
    4445             :     void *new_obj;
    4446             :     
    4447             :     /* state!=NULL, allocation errors are handled by throwing exception from ae_malloc() */
    4448           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    4449             :     
    4450             :     /* assert that pool was seeded */
    4451           0 :     ae_assert(
    4452           0 :         pool->seed_object!=NULL,
    4453             :         "ALGLIB: shared pool is not seeded, PoolRetrieve() failed",
    4454             :         state);
    4455             :     
    4456             :     /* acquire lock */
    4457           0 :     ae_acquire_lock(&pool->pool_lock);
    4458             :     
    4459             :     /* try to reuse recycled objects */
    4460           0 :     if( pool->recycled_objects!=NULL )
    4461             :     {
    4462             :         ae_shared_pool_entry *result;
    4463             :         
    4464             :         /* retrieve entry/object from list of recycled objects */
    4465           0 :         result = pool->recycled_objects;
    4466           0 :         pool->recycled_objects = (ae_shared_pool_entry*)pool->recycled_objects->next_entry;
    4467           0 :         new_obj = result->obj;
    4468           0 :         result->obj = NULL;
    4469             :         
    4470             :         /* move entry to list of recycled entries */
    4471           0 :         result->next_entry = pool->recycled_entries;
    4472           0 :         pool->recycled_entries = result;
    4473             :         
    4474             :         /* release lock */
    4475           0 :         ae_release_lock(&pool->pool_lock);
    4476             :         
    4477             :         /* assign object to smart pointer */
    4478           0 :         ae_smart_ptr_assign(pptr, new_obj, ae_true, ae_true, pool->destroy);
    4479           0 :         return;
    4480             :     }
    4481             :         
    4482             :     /* release lock; we do not need it anymore because copy constructor does not modify source variable */
    4483           0 :     ae_release_lock(&pool->pool_lock);
    4484             :     
    4485             :     /* create new object from seed, immediately assign object to smart pointer
    4486             :       (do not want to lose it in case of future failures) */
    4487           0 :     new_obj = ae_malloc(pool->size_of_object, state);
    4488           0 :     memset(new_obj, 0, pool->size_of_object);
    4489           0 :     ae_smart_ptr_assign(pptr, new_obj, ae_true, ae_true, pool->destroy);
    4490             :     
    4491             :     /* perform actual copying; before this line smartptr points to zero-filled instance */
    4492           0 :     pool->init_copy(new_obj, pool->seed_object, state, ae_false);
    4493             : }
    4494             : 
    4495             : 
    4496             : /************************************************************************
    4497             : This function recycles object owned by smart  pointer  by  moving  it  to
    4498             : internal storage of the shared pool.
    4499             : 
    4500             : Source pointer must own the object. After function is over, it owns NULL
    4501             : pointer.
    4502             : 
    4503             : pool                pool
    4504             : pptr                pointer to ae_smart_ptr structure
    4505             : state               ALGLIB environment state
    4506             : 
    4507             : NOTE: this function IS thread-safe.  It  acquires  pool  lock  during its
    4508             :       operation and can be used simultaneously from several threads.
    4509             : ************************************************************************/
    4510           0 : void ae_shared_pool_recycle(
    4511             :     ae_shared_pool  *pool,
    4512             :     ae_smart_ptr    *pptr,
    4513             :     ae_state        *state)
    4514             : {
    4515             :     ae_shared_pool_entry *new_entry;
    4516             :     
    4517             :     /* state!=NULL, allocation errors are handled by throwing exception from ae_malloc() */
    4518           0 :     AE_CRITICAL_ASSERT(state!=NULL);
    4519             :     
    4520             :     /* assert that pool was seeded */
    4521           0 :     ae_assert(
    4522           0 :         pool->seed_object!=NULL,
    4523             :         "ALGLIB: shared pool is not seeded, PoolRecycle() failed",
    4524             :         state);
    4525             :     
    4526             :     /* assert that pointer non-null and owns the object */
    4527           0 :     ae_assert(pptr->is_owner,  "ALGLIB: pptr in ae_shared_pool_recycle() does not own its pointer", state);
    4528           0 :     ae_assert(pptr->ptr!=NULL, "ALGLIB: pptr in ae_shared_pool_recycle() is NULL", state);
    4529             :     
    4530             :     /* acquire lock */
    4531           0 :     ae_acquire_lock(&pool->pool_lock);
    4532             :     
    4533             :     /* acquire shared pool entry (reuse one from recycled_entries or allocate new one) */
    4534           0 :     if( pool->recycled_entries!=NULL )
    4535             :     {
    4536             :         /* reuse previously allocated entry */
    4537           0 :         new_entry = pool->recycled_entries;
    4538           0 :         pool->recycled_entries = (ae_shared_pool_entry*)new_entry->next_entry;
    4539             :     }
    4540             :     else
    4541             :     {
    4542             :         /*
    4543             :          * Allocate memory for new entry.
    4544             :          *
    4545             :          * NOTE: we release pool lock during allocation because ae_malloc() may raise
    4546             :          *       exception and we do not want our pool to be left in the locked state.
    4547             :          */
    4548           0 :         ae_release_lock(&pool->pool_lock);
    4549           0 :         new_entry =  (ae_shared_pool_entry*)ae_malloc(sizeof(ae_shared_pool_entry), state);
    4550           0 :         ae_acquire_lock(&pool->pool_lock);
    4551             :     }
    4552             :     
    4553             :     /* add object to the list of recycled objects */
    4554           0 :     new_entry->obj = pptr->ptr;
    4555           0 :     new_entry->next_entry = pool->recycled_objects;
    4556           0 :     pool->recycled_objects = new_entry;
    4557             :     
    4558             :     /* release lock object */
    4559           0 :     ae_release_lock(&pool->pool_lock);
    4560             :     
    4561             :     /* release source pointer */
    4562           0 :     ae_smart_ptr_release(pptr);
    4563           0 : }
    4564             : 
    4565             : 
    4566             : /************************************************************************
    4567             : This function clears internal list of  recycled  objects,  but  does  not
    4568             : change seed object managed by the pool.
    4569             : 
    4570             : pool                pool
    4571             : state               ALGLIB environment state
    4572             : 
    4573             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4574             :       you should NOT call it when lock can be used by another thread.
    4575             : ************************************************************************/
    4576           0 : void ae_shared_pool_clear_recycled(
    4577             :     ae_shared_pool  *pool,
    4578             :     ae_state        *state)
    4579             : {
    4580             :     ae_shared_pool_entry *ptr, *tmp;
    4581             :     
    4582             :     /* clear recycled objects */
    4583           0 :     for(ptr=pool->recycled_objects; ptr!=NULL;)
    4584             :     {
    4585           0 :         tmp = (ae_shared_pool_entry*)ptr->next_entry;
    4586           0 :         pool->destroy(ptr->obj);
    4587           0 :         ae_free(ptr->obj);
    4588           0 :         ae_free(ptr);
    4589           0 :         ptr = tmp;
    4590             :     }
    4591           0 :     pool->recycled_objects = NULL;
    4592           0 : }
    4593             : 
    4594             : 
    4595             : /************************************************************************
    4596             : This function allows to enumerate recycled elements of the  shared  pool.
    4597             : It stores pointer to the first recycled object in the smart pointer.
    4598             : 
    4599             : IMPORTANT:
    4600             : * in case target pointer owns non-NULL  value,  it  is deallocated before
    4601             :   storing value retrieved from pool.
    4602             : * recycled object IS NOT removed from pool
    4603             : * target pointer DOES NOT become owner of the new value
    4604             : * this function IS NOT thread-safe
    4605             : * you SHOULD NOT modify shared pool during enumeration (although you  can
    4606             :   modify state of the objects retrieved from pool)
    4607             : * in case there is no recycled objects in the pool, NULL is stored to pptr
    4608             : * in case pool is not seeded, NULL is stored to pptr
    4609             : 
    4610             : pool                pool
    4611             : pptr                pointer to ae_smart_ptr structure
    4612             : state               ALGLIB environment state
    4613             : ************************************************************************/
    4614           0 : void ae_shared_pool_first_recycled(
    4615             :     ae_shared_pool  *pool,
    4616             :     ae_smart_ptr    *pptr,
    4617             :     ae_state        *state)
    4618             : {   
    4619             :     /* modify internal enumeration counter */
    4620           0 :     pool->enumeration_counter = pool->recycled_objects;
    4621             :     
    4622             :     /* exit on empty list */
    4623           0 :     if( pool->enumeration_counter==NULL )
    4624             :     {
    4625           0 :         ae_smart_ptr_assign(pptr, NULL, ae_false, ae_false, NULL);
    4626           0 :         return;
    4627             :     }
    4628             :     
    4629             :     /* assign object to smart pointer */
    4630           0 :     ae_smart_ptr_assign(pptr, pool->enumeration_counter->obj, ae_false, ae_false, pool->destroy);
    4631             : }
    4632             : 
    4633             : 
    4634             : /************************************************************************
    4635             : This function allows to enumerate recycled elements of the  shared  pool.
    4636             : It stores pointer to the next recycled object in the smart pointer.
    4637             : 
    4638             : IMPORTANT:
    4639             : * in case target pointer owns non-NULL  value,  it  is deallocated before
    4640             :   storing value retrieved from pool.
    4641             : * recycled object IS NOT removed from pool
    4642             : * target pointer DOES NOT become owner of the new value
    4643             : * this function IS NOT thread-safe
    4644             : * you SHOULD NOT modify shared pool during enumeration (although you  can
    4645             :   modify state of the objects retrieved from pool)
    4646             : * in case there is no recycled objects left in the pool, NULL is stored.
    4647             : * in case pool is not seeded, NULL is stored.
    4648             : 
    4649             : pool                pool
    4650             : pptr                pointer to ae_smart_ptr structure
    4651             : state               ALGLIB environment state
    4652             : ************************************************************************/
    4653           0 : void ae_shared_pool_next_recycled(
    4654             :     ae_shared_pool  *pool,
    4655             :     ae_smart_ptr    *pptr,
    4656             :     ae_state        *state)
    4657             : {   
    4658             :     /* exit on end of list */
    4659           0 :     if( pool->enumeration_counter==NULL )
    4660             :     {
    4661           0 :         ae_smart_ptr_assign(pptr, NULL, ae_false, ae_false, NULL);
    4662           0 :         return;
    4663             :     }
    4664             :     
    4665             :     /* modify internal enumeration counter */
    4666           0 :     pool->enumeration_counter = (ae_shared_pool_entry*)pool->enumeration_counter->next_entry;
    4667             :     
    4668             :     /* exit on empty list */
    4669           0 :     if( pool->enumeration_counter==NULL )
    4670             :     {
    4671           0 :         ae_smart_ptr_assign(pptr, NULL, ae_false, ae_false, NULL);
    4672           0 :         return;
    4673             :     }
    4674             :     
    4675             :     /* assign object to smart pointer */
    4676           0 :     ae_smart_ptr_assign(pptr, pool->enumeration_counter->obj, ae_false, ae_false, pool->destroy);
    4677             : }
    4678             : 
    4679             : 
    4680             : 
    4681             : /************************************************************************
    4682             : This function clears internal list of recycled objects and  seed  object.
    4683             : However, pool still can be used (after initialization with another seed).
    4684             : 
    4685             : pool                pool
    4686             : state               ALGLIB environment state
    4687             : 
    4688             : NOTE: this function is NOT thread-safe. It does not acquire pool lock, so
    4689             :       you should NOT call it when lock can be used by another thread.
    4690             : ************************************************************************/
    4691           0 : void ae_shared_pool_reset(
    4692             :     ae_shared_pool  *pool,
    4693             :     ae_state        *state)
    4694             : {
    4695             :     /* clear seed and lists */
    4696           0 :     ae_shared_pool_internalclear(pool);
    4697             :     
    4698             :     /* clear fields */
    4699           0 :     pool->seed_object = NULL;
    4700           0 :     pool->recycled_objects = NULL;
    4701           0 :     pool->recycled_entries = NULL;
    4702           0 :     pool->enumeration_counter = NULL;
    4703           0 :     pool->size_of_object = 0;
    4704           0 :     pool->init = NULL;
    4705           0 :     pool->init_copy = NULL;
    4706           0 :     pool->destroy = NULL;
    4707           0 : }
    4708             : 
    4709             : 
    4710             : /************************************************************************
    4711             : This function initializes serializer
    4712             : ************************************************************************/
    4713           0 : void ae_serializer_init(ae_serializer *serializer)
    4714             : {
    4715           0 :     serializer->mode = AE_SM_DEFAULT;
    4716           0 :     serializer->entries_needed = 0;
    4717           0 :     serializer->bytes_asked = 0;
    4718           0 : }
    4719             : 
    4720           0 : void ae_serializer_clear(ae_serializer *serializer)
    4721             : {
    4722           0 : }
    4723             : 
    4724           0 : void ae_serializer_alloc_start(ae_serializer *serializer)
    4725             : {
    4726           0 :     serializer->entries_needed = 0;
    4727           0 :     serializer->bytes_asked = 0;
    4728           0 :     serializer->mode = AE_SM_ALLOC;
    4729           0 : }
    4730             : 
    4731           0 : void ae_serializer_alloc_entry(ae_serializer *serializer)
    4732             : {
    4733           0 :     serializer->entries_needed++;
    4734           0 : }
    4735             : 
    4736           0 : void ae_serializer_alloc_byte_array(ae_serializer *serializer, ae_vector *bytes)
    4737             : {
    4738             :     ae_int_t n;
    4739           0 :     n = bytes->cnt;
    4740           0 :     n = n/8 + (n%8>0 ? 1 : 0);
    4741           0 :     serializer->entries_needed += 1+n;
    4742           0 : }
    4743             : 
    4744             : /************************************************************************
    4745             : After allocation phase is done, this function returns  required  size  of
    4746             : the output string buffer (including trailing zero symbol). Actual size of
    4747             : the data being stored can be a few characters smaller than requested.
    4748             : ************************************************************************/
    4749           0 : ae_int_t ae_serializer_get_alloc_size(ae_serializer *serializer)
    4750             : {
    4751             :     ae_int_t rows, lastrowsize, result;
    4752             :     
    4753           0 :     serializer->mode = AE_SM_READY2S;
    4754             :     
    4755             :     /* if no entries needes (degenerate case) */
    4756           0 :     if( serializer->entries_needed==0 )
    4757             :     {
    4758           0 :         serializer->bytes_asked = 4; /* a pair of chars for \r\n, one for dot, one for trailing zero */
    4759           0 :         return serializer->bytes_asked;
    4760             :     }
    4761             :     
    4762             :     /* non-degenerate case */
    4763           0 :     rows = serializer->entries_needed/AE_SER_ENTRIES_PER_ROW;
    4764           0 :     lastrowsize = AE_SER_ENTRIES_PER_ROW;
    4765           0 :     if( serializer->entries_needed%AE_SER_ENTRIES_PER_ROW )
    4766             :     {
    4767           0 :         lastrowsize = serializer->entries_needed%AE_SER_ENTRIES_PER_ROW;
    4768           0 :         rows++;
    4769             :     }
    4770             :     
    4771             :     /* calculate result size */
    4772           0 :     result  = ((rows-1)*AE_SER_ENTRIES_PER_ROW+lastrowsize)*AE_SER_ENTRY_LENGTH;    /* data size */
    4773           0 :     result +=  (rows-1)*(AE_SER_ENTRIES_PER_ROW-1)+(lastrowsize-1);                 /* space symbols */
    4774           0 :     result += rows*2;                                                               /* newline symbols */
    4775           0 :     result += 1;                                                                    /* trailing dot */
    4776           0 :     result += 1;                                                                    /* trailing zero */
    4777           0 :     serializer->bytes_asked = result;
    4778           0 :     return result;
    4779             : }
    4780             : 
    4781             : #ifdef AE_USE_CPP_SERIALIZATION
    4782           0 : void ae_serializer_sstart_str(ae_serializer *serializer, std::string *buf)
    4783             : {
    4784           0 :     serializer->mode = AE_SM_TO_CPPSTRING;
    4785           0 :     serializer->out_cppstr = buf;
    4786           0 :     serializer->entries_saved = 0;
    4787           0 :     serializer->bytes_written = 0;
    4788           0 : }
    4789             : 
    4790           0 : void ae_serializer_ustart_str(ae_serializer *serializer, const std::string *buf)
    4791             : {
    4792           0 :     serializer->mode = AE_SM_FROM_STRING;
    4793           0 :     serializer->in_str = buf->c_str();
    4794           0 : }
    4795             : 
    4796           0 : static char cpp_writer(const char *p_string, ae_int_t aux)
    4797             : {
    4798           0 :     std::ostream *stream = reinterpret_cast<std::ostream*>(aux);
    4799           0 :     stream->write(p_string, strlen(p_string));
    4800           0 :     return stream->bad() ? 1 : 0;
    4801             : }
    4802             : 
    4803           0 : static char cpp_reader(ae_int_t aux, ae_int_t cnt, char *p_buf)
    4804             : {
    4805           0 :     std::istream *stream = reinterpret_cast<std::istream*>(aux);
    4806             :     int c;
    4807           0 :     if( cnt<=0 )
    4808           0 :         return 1; /* unexpected cnt */
    4809             :     for(;;)
    4810             :     {
    4811           0 :         c = stream->get();
    4812           0 :         if( c<0 || c>255 )
    4813           0 :             return 1; /* failure! */
    4814           0 :         if( c!=' ' && c!='\t' && c!='\n' && c!='\r' )
    4815           0 :             break;
    4816             :     }
    4817           0 :     p_buf[0] = (char)c;
    4818           0 :     for(int k=1; k<cnt; k++)
    4819             :     {
    4820           0 :         c = stream->get();
    4821           0 :         if( c<0 || c>255 || c==' ' || c=='\t' || c=='\n' || c=='\r' )
    4822           0 :             return 1; /* failure! */
    4823           0 :         p_buf[k] = (char)c;
    4824             :     }
    4825           0 :     p_buf[cnt] = 0;
    4826           0 :     return 0; /* success */
    4827             : }
    4828             : 
    4829           0 : void ae_serializer_sstart_stream(ae_serializer *serializer, std::ostream *stream)
    4830             : {
    4831           0 :     serializer->mode = AE_SM_TO_STREAM;
    4832           0 :     serializer->stream_writer = cpp_writer;
    4833           0 :     serializer->stream_aux = reinterpret_cast<ae_int_t>(stream);
    4834           0 :     serializer->entries_saved = 0;
    4835           0 :     serializer->bytes_written = 0;
    4836           0 : }
    4837             : 
    4838           0 : void ae_serializer_ustart_stream(ae_serializer *serializer, const std::istream *stream)
    4839             : {
    4840           0 :     serializer->mode = AE_SM_FROM_STREAM;
    4841           0 :     serializer->stream_reader = cpp_reader;
    4842           0 :     serializer->stream_aux = reinterpret_cast<ae_int_t>(stream);
    4843           0 : }
    4844             : #endif
    4845             : 
    4846           0 : void ae_serializer_sstart_str(ae_serializer *serializer, char *buf)
    4847             : {
    4848           0 :     serializer->mode = AE_SM_TO_STRING;
    4849           0 :     serializer->out_str = buf;
    4850           0 :     serializer->out_str[0] = 0;
    4851           0 :     serializer->entries_saved = 0;
    4852           0 :     serializer->bytes_written = 0;
    4853           0 : }
    4854             : 
    4855           0 : void ae_serializer_ustart_str(ae_serializer *serializer, const char *buf)
    4856             : {
    4857           0 :     serializer->mode = AE_SM_FROM_STRING;
    4858           0 :     serializer->in_str = buf;
    4859           0 : }
    4860             : 
    4861           0 : void ae_serializer_sstart_stream(ae_serializer *serializer, ae_stream_writer writer, ae_int_t aux)
    4862             : {
    4863           0 :     serializer->mode = AE_SM_TO_STREAM;
    4864           0 :     serializer->stream_writer = writer;
    4865           0 :     serializer->stream_aux = aux;
    4866           0 :     serializer->entries_saved = 0;
    4867           0 :     serializer->bytes_written = 0;
    4868           0 : }
    4869             : 
    4870           0 : void ae_serializer_ustart_stream(ae_serializer *serializer, ae_stream_reader reader, ae_int_t aux)
    4871             : {
    4872           0 :     serializer->mode = AE_SM_FROM_STREAM;
    4873           0 :     serializer->stream_reader = reader;
    4874           0 :     serializer->stream_aux = aux;
    4875           0 : }
    4876             : 
    4877           0 : void ae_serializer_serialize_bool(ae_serializer *serializer, ae_bool v, ae_state *state)
    4878             : {
    4879             :     char buf[AE_SER_ENTRY_LENGTH+2+1];
    4880           0 :     const char *emsg = "ALGLIB: serialization integrity error";
    4881             :     ae_int_t bytes_appended;
    4882             :     
    4883             :     /* prepare serialization, check consistency */
    4884           0 :     ae_bool2str(v, buf, state);
    4885           0 :     serializer->entries_saved++;
    4886           0 :     if( serializer->entries_saved%AE_SER_ENTRIES_PER_ROW )
    4887           0 :         strcat(buf, " ");
    4888             :     else
    4889           0 :         strcat(buf, "\r\n");
    4890           0 :     bytes_appended = (ae_int_t)strlen(buf);
    4891           0 :     ae_assert(serializer->bytes_written+bytes_appended<serializer->bytes_asked, emsg, state); /* strict "less" because we need space for trailing zero */
    4892           0 :     serializer->bytes_written += bytes_appended;
    4893             :         
    4894             :     /* append to buffer */
    4895             : #ifdef AE_USE_CPP_SERIALIZATION
    4896           0 :     if( serializer->mode==AE_SM_TO_CPPSTRING )
    4897             :     {
    4898           0 :         *(serializer->out_cppstr) += buf;
    4899           0 :         return;
    4900             :     }
    4901             : #endif
    4902           0 :     if( serializer->mode==AE_SM_TO_STRING )
    4903             :     {
    4904           0 :         strcat(serializer->out_str, buf);
    4905           0 :         serializer->out_str += bytes_appended;
    4906           0 :         return;
    4907             :     }
    4908           0 :     if( serializer->mode==AE_SM_TO_STREAM )
    4909             :     {
    4910           0 :         ae_assert(serializer->stream_writer(buf, serializer->stream_aux)==0, "serializer: error writing to stream", state);
    4911           0 :         return;
    4912             :     }
    4913           0 :     ae_break(state, ERR_ASSERTION_FAILED, emsg);
    4914             : }
    4915             : 
    4916           0 : void ae_serializer_serialize_int(ae_serializer *serializer, ae_int_t v, ae_state *state)
    4917             : {
    4918             :     char buf[AE_SER_ENTRY_LENGTH+2+1];
    4919           0 :     const char *emsg = "ALGLIB: serialization integrity error";
    4920             :     ae_int_t bytes_appended;
    4921             :     
    4922             :     /* prepare serialization, check consistency */
    4923           0 :     ae_int2str(v, buf, state);
    4924           0 :     serializer->entries_saved++;
    4925           0 :     if( serializer->entries_saved%AE_SER_ENTRIES_PER_ROW )
    4926           0 :         strcat(buf, " ");
    4927             :     else
    4928           0 :         strcat(buf, "\r\n");
    4929           0 :     bytes_appended = (ae_int_t)strlen(buf);
    4930           0 :     ae_assert(serializer->bytes_written+bytes_appended<serializer->bytes_asked, emsg, state); /* strict "less" because we need space for trailing zero */
    4931           0 :     serializer->bytes_written += bytes_appended;
    4932             :         
    4933             :     /* append to buffer */
    4934             : #ifdef AE_USE_CPP_SERIALIZATION
    4935           0 :     if( serializer->mode==AE_SM_TO_CPPSTRING )
    4936             :     {
    4937           0 :         *(serializer->out_cppstr) += buf;
    4938           0 :         return;
    4939             :     }
    4940             : #endif
    4941           0 :     if( serializer->mode==AE_SM_TO_STRING )
    4942             :     {
    4943           0 :         strcat(serializer->out_str, buf);
    4944           0 :         serializer->out_str += bytes_appended;
    4945           0 :         return;
    4946             :     }
    4947           0 :     if( serializer->mode==AE_SM_TO_STREAM )
    4948             :     {
    4949           0 :         ae_assert(serializer->stream_writer(buf, serializer->stream_aux)==0, "serializer: error writing to stream", state);
    4950           0 :         return;
    4951             :     }
    4952           0 :     ae_break(state, ERR_ASSERTION_FAILED, emsg);
    4953             : }
    4954             : 
    4955           0 : void ae_serializer_serialize_int64(ae_serializer *serializer, ae_int64_t v, ae_state *state)
    4956             : {
    4957             :     char buf[AE_SER_ENTRY_LENGTH+2+1];
    4958           0 :     const char *emsg = "ALGLIB: serialization integrity error";
    4959             :     ae_int_t bytes_appended;
    4960             :     
    4961             :     /* prepare serialization, check consistency */
    4962           0 :     ae_int642str(v, buf, state);
    4963           0 :     serializer->entries_saved++;
    4964           0 :     if( serializer->entries_saved%AE_SER_ENTRIES_PER_ROW )
    4965           0 :         strcat(buf, " ");
    4966             :     else
    4967           0 :         strcat(buf, "\r\n");
    4968           0 :     bytes_appended = (ae_int_t)strlen(buf);
    4969           0 :     ae_assert(serializer->bytes_written+bytes_appended<serializer->bytes_asked, emsg, state); /* strict "less" because we need space for trailing zero */
    4970           0 :     serializer->bytes_written += bytes_appended;
    4971             :         
    4972             :     /* append to buffer */
    4973             : #ifdef AE_USE_CPP_SERIALIZATION
    4974           0 :     if( serializer->mode==AE_SM_TO_CPPSTRING )
    4975             :     {
    4976           0 :         *(serializer->out_cppstr) += buf;
    4977           0 :         return;
    4978             :     }
    4979             : #endif
    4980           0 :     if( serializer->mode==AE_SM_TO_STRING )
    4981             :     {
    4982           0 :         strcat(serializer->out_str, buf);
    4983           0 :         serializer->out_str += bytes_appended;
    4984           0 :         return;
    4985             :     }
    4986           0 :     if( serializer->mode==AE_SM_TO_STREAM )
    4987             :     {
    4988           0 :         ae_assert(serializer->stream_writer(buf, serializer->stream_aux)==0, "serializer: error writing to stream", state);
    4989           0 :         return;
    4990             :     }
    4991           0 :     ae_break(state, ERR_ASSERTION_FAILED, emsg);
    4992             : }
    4993             : 
    4994           0 : void ae_serializer_serialize_double(ae_serializer *serializer, double v, ae_state *state)
    4995             : {
    4996             :     char buf[AE_SER_ENTRY_LENGTH+2+1];
    4997           0 :     const char *emsg = "ALGLIB: serialization integrity error";
    4998             :     ae_int_t bytes_appended;
    4999             :     
    5000             :     /* prepare serialization, check consistency */
    5001           0 :     ae_double2str(v, buf, state);
    5002           0 :     serializer->entries_saved++;
    5003           0 :     if( serializer->entries_saved%AE_SER_ENTRIES_PER_ROW )
    5004           0 :         strcat(buf, " ");
    5005             :     else
    5006           0 :         strcat(buf, "\r\n");
    5007           0 :     bytes_appended = (ae_int_t)strlen(buf);
    5008           0 :     ae_assert(serializer->bytes_written+bytes_appended<serializer->bytes_asked, emsg, state); /* strict "less" because we need space for trailing zero */
    5009           0 :     serializer->bytes_written += bytes_appended;
    5010             :         
    5011             :     /* append to buffer */
    5012             : #ifdef AE_USE_CPP_SERIALIZATION
    5013           0 :     if( serializer->mode==AE_SM_TO_CPPSTRING )
    5014             :     {
    5015           0 :         *(serializer->out_cppstr) += buf;
    5016           0 :         return;
    5017             :     }
    5018             : #endif
    5019           0 :     if( serializer->mode==AE_SM_TO_STRING )
    5020             :     {
    5021           0 :         strcat(serializer->out_str, buf);
    5022           0 :         serializer->out_str += bytes_appended;
    5023           0 :         return;
    5024             :     }
    5025           0 :     if( serializer->mode==AE_SM_TO_STREAM )
    5026             :     {
    5027           0 :         ae_assert(serializer->stream_writer(buf, serializer->stream_aux)==0, "serializer: error writing to stream", state);
    5028           0 :         return;
    5029             :     }
    5030           0 :     ae_break(state, ERR_ASSERTION_FAILED, emsg);
    5031             : }
    5032             : 
    5033           0 : void ae_serializer_serialize_byte_array(ae_serializer *serializer, ae_vector *bytes, ae_state *state)
    5034             : {
    5035             :     ae_int_t chunk_size, entries_count;
    5036             :     
    5037           0 :     chunk_size = 8;
    5038             :     
    5039             :     /* save array length */
    5040           0 :     ae_serializer_serialize_int(serializer, bytes->cnt, state);
    5041             :             
    5042             :     /* determine entries count */
    5043           0 :     entries_count = bytes->cnt/chunk_size + (bytes->cnt%chunk_size>0 ? 1 : 0);
    5044           0 :     for(ae_int_t eidx=0; eidx<entries_count; eidx++)
    5045             :     {
    5046             :         ae_int64_t tmpi;
    5047             :         ae_int_t elen;
    5048           0 :         elen = bytes->cnt - eidx*chunk_size;
    5049           0 :         elen = elen>chunk_size ? chunk_size : elen;
    5050             :         memset(&tmpi, 0, sizeof(tmpi));
    5051           0 :         memmove(&tmpi, bytes->ptr.p_ubyte + eidx*chunk_size, elen);
    5052           0 :         ae_serializer_serialize_int64(serializer, tmpi, state);
    5053             :     }
    5054           0 : }
    5055             : 
    5056           0 : void ae_serializer_unserialize_bool(ae_serializer *serializer, ae_bool *v, ae_state *state)
    5057             : {
    5058           0 :     if( serializer->mode==AE_SM_FROM_STRING )
    5059             :     {
    5060           0 :         *v = ae_str2bool(serializer->in_str, state, &serializer->in_str);
    5061           0 :         return;
    5062             :     }
    5063           0 :     if( serializer->mode==AE_SM_FROM_STREAM )
    5064             :     {
    5065             :         char buf[AE_SER_ENTRY_LENGTH+2+1];
    5066           0 :         const char *p = buf;
    5067           0 :         ae_assert(serializer->stream_reader(serializer->stream_aux, AE_SER_ENTRY_LENGTH, buf)==0, "serializer: error reading from stream", state);
    5068           0 :         *v = ae_str2bool(buf, state, &p);
    5069           0 :         return;
    5070             :     }
    5071           0 :     ae_break(state, ERR_ASSERTION_FAILED, "ae_serializer: integrity check failed");
    5072             : }
    5073             : 
    5074           0 : void ae_serializer_unserialize_int(ae_serializer *serializer, ae_int_t *v, ae_state *state)
    5075             : {
    5076           0 :     if( serializer->mode==AE_SM_FROM_STRING )
    5077             :     {
    5078           0 :         *v = ae_str2int(serializer->in_str, state, &serializer->in_str);
    5079           0 :         return;
    5080             :     }
    5081           0 :     if( serializer->mode==AE_SM_FROM_STREAM )
    5082             :     {
    5083             :         char buf[AE_SER_ENTRY_LENGTH+2+1];
    5084           0 :         const char *p = buf;
    5085           0 :         ae_assert(serializer->stream_reader(serializer->stream_aux, AE_SER_ENTRY_LENGTH, buf)==0, "serializer: error reading from stream", state);
    5086           0 :         *v = ae_str2int(buf, state, &p);
    5087           0 :         return;
    5088             :     }
    5089           0 :     ae_break(state, ERR_ASSERTION_FAILED, "ae_serializer: integrity check failed");
    5090             : }
    5091             : 
    5092           0 : void ae_serializer_unserialize_int64(ae_serializer *serializer, ae_int64_t *v, ae_state *state)
    5093             : {
    5094           0 :     if( serializer->mode==AE_SM_FROM_STRING )
    5095             :     {
    5096           0 :         *v = ae_str2int64(serializer->in_str, state, &serializer->in_str);
    5097           0 :         return;
    5098             :     }
    5099           0 :     if( serializer->mode==AE_SM_FROM_STREAM )
    5100             :     {
    5101             :         char buf[AE_SER_ENTRY_LENGTH+2+1];
    5102           0 :         const char *p = buf;
    5103           0 :         ae_assert(serializer->stream_reader(serializer->stream_aux, AE_SER_ENTRY_LENGTH, buf)==0, "serializer: error reading from stream", state);
    5104           0 :         *v = ae_str2int64(buf, state, &p);
    5105           0 :         return;
    5106             :     }
    5107           0 :     ae_break(state, ERR_ASSERTION_FAILED, "ae_serializer: integrity check failed");
    5108             : }
    5109             : 
    5110           0 : void ae_serializer_unserialize_double(ae_serializer *serializer, double *v, ae_state *state)
    5111             : {
    5112           0 :     if( serializer->mode==AE_SM_FROM_STRING )
    5113             :     {
    5114           0 :         *v = ae_str2double(serializer->in_str, state, &serializer->in_str);
    5115           0 :         return;
    5116             :     }
    5117           0 :     if( serializer->mode==AE_SM_FROM_STREAM )
    5118             :     {
    5119             :         char buf[AE_SER_ENTRY_LENGTH+2+1];
    5120           0 :         const char *p = buf;
    5121           0 :         ae_assert(serializer->stream_reader(serializer->stream_aux, AE_SER_ENTRY_LENGTH, buf)==0, "serializer: error reading from stream", state);
    5122           0 :         *v = ae_str2double(buf, state, &p);
    5123           0 :         return;
    5124             :     }
    5125           0 :     ae_break(state, ERR_ASSERTION_FAILED, "ae_serializer: integrity check failed");
    5126             : }
    5127             : 
    5128           0 : void ae_serializer_unserialize_byte_array(ae_serializer *serializer, ae_vector *bytes, ae_state *state)
    5129             : {
    5130             :     ae_int_t chunk_size, n, entries_count;
    5131             :     
    5132           0 :     chunk_size = 8;
    5133             :             
    5134             :     /* read array length, allocate output */
    5135           0 :     ae_serializer_unserialize_int(serializer, &n, state);
    5136           0 :     ae_vector_set_length(bytes, n, state);
    5137             :             
    5138             :     /* determine entries count, read entries */
    5139           0 :     entries_count = n/chunk_size + (n%chunk_size>0 ? 1 : 0);
    5140           0 :     for(ae_int_t eidx=0; eidx<entries_count; eidx++)
    5141             :     {
    5142             :         ae_int_t elen;
    5143             :         ae_int64_t tmp64;
    5144             :         
    5145           0 :         elen = n-eidx*chunk_size;
    5146           0 :         elen = elen>chunk_size ? chunk_size : elen;
    5147           0 :         ae_serializer_unserialize_int64(serializer, &tmp64, state);
    5148           0 :         memmove(bytes->ptr.p_ubyte+eidx*chunk_size, &tmp64, elen);
    5149             :     }
    5150           0 : }
    5151             : 
    5152           0 : void ae_serializer_stop(ae_serializer *serializer, ae_state *state)
    5153             : {
    5154             : #ifdef AE_USE_CPP_SERIALIZATION
    5155           0 :     if( serializer->mode==AE_SM_TO_CPPSTRING )
    5156             :     {
    5157           0 :         ae_assert(serializer->bytes_written+1<serializer->bytes_asked, "ae_serializer: integrity check failed", state);/* strict "less" because we need space for trailing zero */
    5158           0 :         serializer->bytes_written++;
    5159           0 :         *(serializer->out_cppstr) += ".";
    5160           0 :         return;
    5161             :     }
    5162             : #endif
    5163           0 :     if( serializer->mode==AE_SM_TO_STRING )
    5164             :     {
    5165           0 :         ae_assert(serializer->bytes_written+1<serializer->bytes_asked, "ae_serializer: integrity check failed", state); /* strict "less" because we need space for trailing zero */
    5166           0 :         serializer->bytes_written++;
    5167           0 :         strcat(serializer->out_str, ".");
    5168           0 :         serializer->out_str += 1;
    5169           0 :         return;
    5170             :     }
    5171           0 :     if( serializer->mode==AE_SM_TO_STREAM )
    5172             :     {
    5173           0 :         ae_assert(serializer->bytes_written+1<serializer->bytes_asked, "ae_serializer: integrity check failed", state); /* strict "less" because we need space for trailing zero */
    5174           0 :         serializer->bytes_written++;
    5175           0 :         ae_assert(serializer->stream_writer(".", serializer->stream_aux)==0, "ae_serializer: error writing to stream", state);
    5176           0 :         return;
    5177             :     }
    5178           0 :     if( serializer->mode==AE_SM_FROM_STRING )
    5179             :     {
    5180             :         /*
    5181             :          * because input string may be from pre-3.11 serializer,
    5182             :          * which does not include trailing dot, we do not test
    5183             :          * string for presence of "." symbol. Anyway, because string
    5184             :          * is not stream, we do not have to read ALL trailing symbols.
    5185             :          */
    5186           0 :         return;
    5187             :     }
    5188           0 :     if( serializer->mode==AE_SM_FROM_STREAM )
    5189             :     {
    5190             :         /*
    5191             :          * Read trailing dot, perform integrity check
    5192             :          */
    5193             :         char buf[2];
    5194           0 :         ae_assert(serializer->stream_reader(serializer->stream_aux, 1, buf)==0, "ae_serializer: error reading from stream", state);
    5195           0 :         ae_assert(buf[0]=='.', "ae_serializer: trailing . is not found in the stream", state);
    5196           0 :         return;
    5197             :     }
    5198           0 :     ae_break(state, ERR_ASSERTION_FAILED, "ae_serializer: integrity check failed");
    5199             : }
    5200             : 
    5201             : 
    5202             : /************************************************************************
    5203             : Complex math functions
    5204             : ************************************************************************/
    5205           0 : ae_complex ae_complex_from_i(ae_int_t v)
    5206             : {
    5207             :     ae_complex r;
    5208           0 :     r.x = (double)v;
    5209           0 :     r.y = 0.0;
    5210           0 :     return r;
    5211             : }
    5212             : 
    5213           0 : ae_complex ae_complex_from_d(double v)
    5214             : {
    5215             :     ae_complex r;
    5216           0 :     r.x = v;
    5217           0 :     r.y = 0.0;
    5218           0 :     return r;
    5219             : }
    5220             : 
    5221           0 : ae_complex ae_c_neg(ae_complex lhs)
    5222             : {
    5223             :     ae_complex result;
    5224           0 :     result.x = -lhs.x;
    5225           0 :     result.y = -lhs.y;
    5226           0 :     return result;
    5227             : }
    5228             : 
    5229           0 : ae_complex ae_c_conj(ae_complex lhs, ae_state *state)
    5230             : {
    5231             :     ae_complex result;
    5232           0 :     result.x = +lhs.x;
    5233           0 :     result.y = -lhs.y;
    5234           0 :     return result;
    5235             : }
    5236             : 
    5237           0 : ae_complex ae_c_sqr(ae_complex lhs, ae_state *state)
    5238             : {
    5239             :     ae_complex result;
    5240           0 :     result.x = lhs.x*lhs.x-lhs.y*lhs.y;
    5241           0 :     result.y = 2*lhs.x*lhs.y;
    5242           0 :     return result;
    5243             : }
    5244             : 
    5245           0 : double ae_c_abs(ae_complex z, ae_state *state)
    5246             : {
    5247             :     double w;
    5248             :     double xabs;
    5249             :     double yabs;
    5250             :     double v;
    5251             : 
    5252           0 :     xabs = fabs(z.x);
    5253           0 :     yabs = fabs(z.y);
    5254           0 :     w = xabs>yabs ? xabs : yabs;
    5255           0 :     v = xabs<yabs ? xabs : yabs;
    5256           0 :     if( v==0 )
    5257           0 :         return w;
    5258             :     else
    5259             :     {
    5260           0 :         double t = v/w;
    5261           0 :         return w*sqrt(1+t*t);
    5262             :     }
    5263             : }
    5264             : 
    5265           0 : ae_bool ae_c_eq(ae_complex lhs,   ae_complex rhs)
    5266             : {
    5267           0 :     volatile double x1 = lhs.x;
    5268           0 :     volatile double x2 = rhs.x;
    5269           0 :     volatile double y1 = lhs.y;
    5270           0 :     volatile double y2 = rhs.y;
    5271           0 :     return x1==x2 && y1==y2;
    5272             : }
    5273             : 
    5274           0 : ae_bool ae_c_neq(ae_complex lhs,  ae_complex rhs)
    5275             : {
    5276           0 :     volatile double x1 = lhs.x;
    5277           0 :     volatile double x2 = rhs.x;
    5278           0 :     volatile double y1 = lhs.y;
    5279           0 :     volatile double y2 = rhs.y;
    5280           0 :     return x1!=x2 || y1!=y2;
    5281             : }
    5282             : 
    5283           0 : ae_complex ae_c_add(ae_complex lhs,  ae_complex rhs)
    5284             : {
    5285             :     ae_complex result;
    5286           0 :     result.x = lhs.x+rhs.x;
    5287           0 :     result.y = lhs.y+rhs.y;
    5288           0 :     return result;
    5289             : }
    5290             : 
    5291           0 : ae_complex ae_c_mul(ae_complex lhs,  ae_complex rhs)
    5292             : {
    5293             :     ae_complex result;
    5294           0 :     result.x = lhs.x*rhs.x-lhs.y*rhs.y;
    5295           0 :     result.y = lhs.x*rhs.y+lhs.y*rhs.x;
    5296           0 :     return result;
    5297             : }
    5298             : 
    5299           0 : ae_complex ae_c_sub(ae_complex lhs,   ae_complex rhs)
    5300             : {
    5301             :     ae_complex result;
    5302           0 :     result.x = lhs.x-rhs.x;
    5303           0 :     result.y = lhs.y-rhs.y;
    5304           0 :     return result;
    5305             : }
    5306             : 
    5307           0 : ae_complex ae_c_div(ae_complex lhs,   ae_complex rhs)
    5308             : {
    5309             :     ae_complex result;
    5310             :     double e;
    5311             :     double f;
    5312           0 :     if( fabs(rhs.y)<fabs(rhs.x) )
    5313             :     {
    5314           0 :         e = rhs.y/rhs.x;
    5315           0 :         f = rhs.x+rhs.y*e;
    5316           0 :         result.x = (lhs.x+lhs.y*e)/f;
    5317           0 :         result.y = (lhs.y-lhs.x*e)/f;
    5318             :     }
    5319             :     else
    5320             :     {
    5321           0 :         e = rhs.x/rhs.y;
    5322           0 :         f = rhs.y+rhs.x*e;
    5323           0 :         result.x = (lhs.y+lhs.x*e)/f;
    5324           0 :         result.y = (-lhs.x+lhs.y*e)/f;
    5325             :     }
    5326           0 :     return result;
    5327             : }
    5328             : 
    5329           0 : ae_bool ae_c_eq_d(ae_complex lhs,  double rhs)
    5330             : {
    5331           0 :     volatile double x1 = lhs.x;
    5332           0 :     volatile double x2 = rhs;
    5333           0 :     volatile double y1 = lhs.y;
    5334           0 :     volatile double y2 = 0;
    5335           0 :     return x1==x2 && y1==y2;
    5336             : }
    5337             : 
    5338           0 : ae_bool ae_c_neq_d(ae_complex lhs, double rhs)
    5339             : {
    5340           0 :     volatile double x1 = lhs.x;
    5341           0 :     volatile double x2 = rhs;
    5342           0 :     volatile double y1 = lhs.y;
    5343           0 :     volatile double y2 = 0;
    5344           0 :     return x1!=x2 || y1!=y2;
    5345             : }
    5346             : 
    5347           0 : ae_complex ae_c_add_d(ae_complex lhs, double rhs)
    5348             : {
    5349             :     ae_complex result;
    5350           0 :     result.x = lhs.x+rhs;
    5351           0 :     result.y = lhs.y;
    5352           0 :     return result;
    5353             : }
    5354             : 
    5355           0 : ae_complex ae_c_mul_d(ae_complex lhs, double rhs)
    5356             : {
    5357             :     ae_complex result;
    5358           0 :     result.x = lhs.x*rhs;
    5359           0 :     result.y = lhs.y*rhs;
    5360           0 :     return result;
    5361             : }
    5362             : 
    5363           0 : ae_complex ae_c_sub_d(ae_complex lhs, double rhs)
    5364             : {
    5365             :     ae_complex result;
    5366           0 :     result.x = lhs.x-rhs;
    5367           0 :     result.y = lhs.y;
    5368           0 :     return result;
    5369             : }
    5370             : 
    5371           0 : ae_complex ae_c_d_sub(double lhs,     ae_complex rhs)
    5372             : {
    5373             :     ae_complex result;
    5374           0 :     result.x = lhs-rhs.x;
    5375           0 :     result.y = -rhs.y;
    5376           0 :     return result;
    5377             : }
    5378             : 
    5379           0 : ae_complex ae_c_div_d(ae_complex lhs, double rhs)
    5380             : {
    5381             :     ae_complex result;
    5382           0 :     result.x = lhs.x/rhs;
    5383           0 :     result.y = lhs.y/rhs;
    5384           0 :     return result;
    5385             : }
    5386             : 
    5387           0 : ae_complex ae_c_d_div(double lhs,   ae_complex rhs)
    5388             : {
    5389             :     ae_complex result;
    5390             :     double e;
    5391             :     double f;
    5392           0 :     if( fabs(rhs.y)<fabs(rhs.x) )
    5393             :     {
    5394           0 :         e = rhs.y/rhs.x;
    5395           0 :         f = rhs.x+rhs.y*e;
    5396           0 :         result.x = lhs/f;
    5397           0 :         result.y = -lhs*e/f;
    5398             :     }
    5399             :     else
    5400             :     {
    5401           0 :         e = rhs.x/rhs.y;
    5402           0 :         f = rhs.y+rhs.x*e;
    5403           0 :         result.x = lhs*e/f;
    5404           0 :         result.y = -lhs/f;
    5405             :     }
    5406           0 :     return result;
    5407             : }
    5408             : 
    5409             : 
    5410             : /************************************************************************
    5411             : Complex BLAS operations
    5412             : ************************************************************************/
    5413           0 : 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)
    5414             : {
    5415           0 :     double rx = 0, ry = 0; 
    5416             :     ae_int_t i;
    5417           0 :     ae_bool bconj0 = !((conj0[0]=='N') || (conj0[0]=='n'));
    5418           0 :     ae_bool bconj1 = !((conj1[0]=='N') || (conj1[0]=='n'));
    5419             :     ae_complex result;
    5420           0 :     if( bconj0 && bconj1 )
    5421             :     {
    5422             :         double v0x, v0y, v1x, v1y;
    5423           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    5424             :         {
    5425           0 :             v0x = v0->x;
    5426           0 :             v0y = -v0->y;
    5427           0 :             v1x = v1->x;
    5428           0 :             v1y = -v1->y;
    5429           0 :             rx += v0x*v1x-v0y*v1y;
    5430           0 :             ry += v0x*v1y+v0y*v1x;
    5431             :         }
    5432             :     }
    5433           0 :     if( !bconj0 && bconj1 )
    5434             :     {
    5435             :         double v0x, v0y, v1x, v1y;
    5436           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    5437             :         {
    5438           0 :             v0x = v0->x;
    5439           0 :             v0y = v0->y;
    5440           0 :             v1x = v1->x;
    5441           0 :             v1y = -v1->y;
    5442           0 :             rx += v0x*v1x-v0y*v1y;
    5443           0 :             ry += v0x*v1y+v0y*v1x;
    5444             :         }
    5445             :     }
    5446           0 :     if( bconj0 && !bconj1 )
    5447             :     {
    5448             :         double v0x, v0y, v1x, v1y;
    5449           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    5450             :         {
    5451           0 :             v0x = v0->x;
    5452           0 :             v0y = -v0->y;
    5453           0 :             v1x = v1->x;
    5454           0 :             v1y = v1->y;
    5455           0 :             rx += v0x*v1x-v0y*v1y;
    5456           0 :             ry += v0x*v1y+v0y*v1x;
    5457             :         }
    5458             :     }
    5459           0 :     if( !bconj0 && !bconj1 )
    5460             :     {
    5461             :         double v0x, v0y, v1x, v1y;
    5462           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    5463             :         {
    5464           0 :             v0x = v0->x;
    5465           0 :             v0y = v0->y;
    5466           0 :             v1x = v1->x;
    5467           0 :             v1y = v1->y;
    5468           0 :             rx += v0x*v1x-v0y*v1y;
    5469           0 :             ry += v0x*v1y+v0y*v1x;
    5470             :         }
    5471             :     }
    5472           0 :     result.x = rx;
    5473           0 :     result.y = ry;
    5474           0 :     return result;
    5475             : }
    5476             : 
    5477           0 : 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)
    5478             : {
    5479           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5480             :     ae_int_t i;
    5481           0 :     if( stride_dst!=1 || stride_src!=1 )
    5482             :     {
    5483             :         /*
    5484             :          * general unoptimized case
    5485             :          */
    5486           0 :         if( bconj )
    5487             :         {
    5488           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5489             :             {
    5490           0 :                 vdst->x =  vsrc->x;
    5491           0 :                 vdst->y = -vsrc->y;
    5492             :             }
    5493             :         }
    5494             :         else
    5495             :         {
    5496           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5497           0 :                 *vdst = *vsrc;
    5498             :         }
    5499             :     }
    5500             :     else
    5501             :     {
    5502             :         /*
    5503             :          * optimized case
    5504             :          */
    5505           0 :         if( bconj )
    5506             :         {
    5507           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5508             :             {
    5509           0 :                 vdst->x =  vsrc->x;
    5510           0 :                 vdst->y = -vsrc->y;
    5511             :             }
    5512             :         }
    5513             :         else
    5514             :         {
    5515           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5516           0 :                 *vdst = *vsrc;
    5517             :         }
    5518             :     }
    5519           0 : }
    5520             : 
    5521           0 : 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)
    5522             : {
    5523           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5524             :     ae_int_t i;
    5525           0 :     if( stride_dst!=1 || stride_src!=1 )
    5526             :     {
    5527             :         /*
    5528             :          * general unoptimized case
    5529             :          */
    5530           0 :         if( bconj )
    5531             :         {
    5532           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5533             :             {
    5534           0 :                 vdst->x = -vsrc->x;
    5535           0 :                 vdst->y =  vsrc->y;
    5536             :             }
    5537             :         }
    5538             :         else
    5539             :         {
    5540           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5541             :             {
    5542           0 :                 vdst->x = -vsrc->x;
    5543           0 :                 vdst->y = -vsrc->y;
    5544             :             }
    5545             :         }
    5546             :     }
    5547             :     else
    5548             :     {
    5549             :         /*
    5550             :          * optimized case
    5551             :          */
    5552           0 :         if( bconj )
    5553             :         {
    5554           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5555             :             {
    5556           0 :                 vdst->x = -vsrc->x;
    5557           0 :                 vdst->y =  vsrc->y;
    5558             :             }
    5559             :         }
    5560             :         else
    5561             :         {
    5562           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5563             :             {
    5564           0 :                 vdst->x = -vsrc->x;
    5565           0 :                 vdst->y = -vsrc->y;
    5566             :             }
    5567             :         }
    5568             :     }
    5569           0 : }
    5570             : 
    5571           0 : 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)
    5572             : {
    5573           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5574             :     ae_int_t i;
    5575           0 :     if( stride_dst!=1 || stride_src!=1 )
    5576             :     {
    5577             :         /*
    5578             :          * general unoptimized case
    5579             :          */
    5580           0 :         if( bconj )
    5581             :         {
    5582           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5583             :             {
    5584           0 :                 vdst->x =  alpha*vsrc->x;
    5585           0 :                 vdst->y = -alpha*vsrc->y;
    5586             :             }
    5587             :         }
    5588             :         else
    5589             :         {
    5590           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5591             :             {
    5592           0 :                 vdst->x = alpha*vsrc->x;
    5593           0 :                 vdst->y = alpha*vsrc->y;
    5594             :             }
    5595             :         }
    5596             :     }
    5597             :     else
    5598             :     {
    5599             :         /*
    5600             :          * optimized case
    5601             :          */
    5602           0 :         if( bconj )
    5603             :         {
    5604           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5605             :             {
    5606           0 :                 vdst->x =  alpha*vsrc->x;
    5607           0 :                 vdst->y = -alpha*vsrc->y;
    5608             :             }
    5609             :         }
    5610             :         else
    5611             :         {
    5612           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5613             :             {
    5614           0 :                 vdst->x = alpha*vsrc->x;
    5615           0 :                 vdst->y = alpha*vsrc->y;
    5616             :             }
    5617             :         }
    5618             :     }
    5619           0 : }
    5620             : 
    5621           0 : 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)
    5622             : {
    5623           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5624             :     ae_int_t i;
    5625           0 :     if( stride_dst!=1 || stride_src!=1 )
    5626             :     {
    5627             :         /*
    5628             :          * general unoptimized case
    5629             :          */
    5630           0 :         if( bconj )
    5631             :         {
    5632           0 :             double ax = alpha.x, ay = alpha.y;
    5633           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5634             :             {
    5635           0 :                 vdst->x =  ax*vsrc->x+ay*vsrc->y;
    5636           0 :                 vdst->y = -ax*vsrc->y+ay*vsrc->x;
    5637             :             }
    5638             :         }
    5639             :         else
    5640             :         {
    5641           0 :             double ax = alpha.x, ay = alpha.y;
    5642           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5643             :             {
    5644           0 :                 vdst->x = ax*vsrc->x-ay*vsrc->y;
    5645           0 :                 vdst->y = ax*vsrc->y+ay*vsrc->x;
    5646             :             }
    5647             :         }
    5648           0 :     }
    5649             :     else
    5650             :     {
    5651             :         /*
    5652             :          * highly optimized case
    5653             :          */
    5654           0 :         if( bconj )
    5655             :         {
    5656           0 :             double ax = alpha.x, ay = alpha.y;
    5657           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5658             :             {
    5659           0 :                 vdst->x =  ax*vsrc->x+ay*vsrc->y;
    5660           0 :                 vdst->y = -ax*vsrc->y+ay*vsrc->x;
    5661             :             }
    5662             :         }
    5663             :         else
    5664             :         {
    5665           0 :             double ax = alpha.x, ay = alpha.y;
    5666           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5667             :             {
    5668           0 :                 vdst->x = ax*vsrc->x-ay*vsrc->y;
    5669           0 :                 vdst->y = ax*vsrc->y+ay*vsrc->x;
    5670             :             }
    5671             :         }
    5672             :     }
    5673           0 : }
    5674             : 
    5675           0 : 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)
    5676             : {
    5677           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5678             :     ae_int_t i;
    5679           0 :     if( stride_dst!=1 || stride_src!=1 )
    5680             :     {
    5681             :         /*
    5682             :          * general unoptimized case
    5683             :          */
    5684           0 :         if( bconj )
    5685             :         {
    5686           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5687             :             {
    5688           0 :                 vdst->x += vsrc->x;
    5689           0 :                 vdst->y -= vsrc->y;
    5690             :             }
    5691             :         }
    5692             :         else
    5693             :         {
    5694           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5695             :             {
    5696           0 :                 vdst->x += vsrc->x;
    5697           0 :                 vdst->y += vsrc->y;
    5698             :             }
    5699             :         }
    5700             :     }
    5701             :     else
    5702             :     {
    5703             :         /*
    5704             :          * optimized case
    5705             :          */
    5706           0 :         if( bconj )
    5707             :         {
    5708           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5709             :             {
    5710           0 :                 vdst->x += vsrc->x;
    5711           0 :                 vdst->y -= vsrc->y;
    5712             :             }
    5713             :         }
    5714             :         else
    5715             :         {
    5716           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5717             :             {
    5718           0 :                 vdst->x += vsrc->x;
    5719           0 :                 vdst->y += vsrc->y;
    5720             :             }
    5721             :         }
    5722             :     }
    5723           0 : }
    5724             : 
    5725           0 : 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)
    5726             : {
    5727           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5728             :     ae_int_t i;
    5729           0 :     if( stride_dst!=1 || stride_src!=1 )
    5730             :     {
    5731             :         /*
    5732             :          * general unoptimized case
    5733             :          */
    5734           0 :         if( bconj )
    5735             :         {
    5736           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5737             :             {
    5738           0 :                 vdst->x += alpha*vsrc->x;
    5739           0 :                 vdst->y -= alpha*vsrc->y;
    5740             :             }
    5741             :         }
    5742             :         else
    5743             :         {
    5744           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5745             :             {
    5746           0 :                 vdst->x += alpha*vsrc->x;
    5747           0 :                 vdst->y += alpha*vsrc->y;
    5748             :             }
    5749             :         }
    5750             :     }
    5751             :     else
    5752             :     {
    5753             :         /*
    5754             :          * optimized case
    5755             :          */
    5756           0 :         if( bconj )
    5757             :         {
    5758           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5759             :             {
    5760           0 :                 vdst->x += alpha*vsrc->x;
    5761           0 :                 vdst->y -= alpha*vsrc->y;
    5762             :             }
    5763             :         }
    5764             :         else
    5765             :         {
    5766           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5767             :             {
    5768           0 :                 vdst->x += alpha*vsrc->x;
    5769           0 :                 vdst->y += alpha*vsrc->y;
    5770             :             }
    5771             :         }
    5772             :     }
    5773           0 : }
    5774             : 
    5775           0 : 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)
    5776             : {
    5777           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5778             :     ae_int_t i;
    5779           0 :     if( stride_dst!=1 || stride_src!=1 )
    5780             :     {
    5781             :         /*
    5782             :          * general unoptimized case
    5783             :          */
    5784           0 :         double ax = alpha.x, ay = alpha.y;
    5785           0 :         if( bconj )
    5786             :         {
    5787           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5788             :             {
    5789           0 :                 vdst->x += ax*vsrc->x+ay*vsrc->y;
    5790           0 :                 vdst->y -= ax*vsrc->y-ay*vsrc->x;
    5791             :             }
    5792             :         }
    5793             :         else
    5794             :         {
    5795           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5796             :             {
    5797           0 :                 vdst->x += ax*vsrc->x-ay*vsrc->y;
    5798           0 :                 vdst->y += ax*vsrc->y+ay*vsrc->x;
    5799             :             }
    5800             :         }
    5801           0 :     }
    5802             :     else
    5803             :     {
    5804             :         /*
    5805             :          * highly optimized case
    5806             :          */
    5807           0 :         double ax = alpha.x, ay = alpha.y;
    5808           0 :         if( bconj )
    5809             :         {
    5810           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5811             :             {
    5812           0 :                 vdst->x += ax*vsrc->x+ay*vsrc->y;
    5813           0 :                 vdst->y -= ax*vsrc->y-ay*vsrc->x;
    5814             :             }
    5815             :         }
    5816             :         else
    5817             :         {
    5818           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5819             :             {
    5820           0 :                 vdst->x += ax*vsrc->x-ay*vsrc->y;
    5821           0 :                 vdst->y += ax*vsrc->y+ay*vsrc->x;
    5822             :             }
    5823             :         }
    5824             :     }
    5825           0 : }
    5826             : 
    5827           0 : 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)
    5828             : {
    5829           0 :     ae_bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    5830             :     ae_int_t i;
    5831           0 :     if( stride_dst!=1 || stride_src!=1 )
    5832             :     {
    5833             :         /*
    5834             :          * general unoptimized case
    5835             :          */
    5836           0 :         if( bconj )
    5837             :         {
    5838           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5839             :             {
    5840           0 :                 vdst->x -= vsrc->x;
    5841           0 :                 vdst->y += vsrc->y;
    5842             :             }
    5843             :         }
    5844             :         else
    5845             :         {
    5846           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5847             :             {
    5848           0 :                 vdst->x -= vsrc->x;
    5849           0 :                 vdst->y -= vsrc->y;
    5850             :             }
    5851             :         }
    5852             :     }
    5853             :     else
    5854             :     {
    5855             :         /*
    5856             :          * highly optimized case
    5857             :          */
    5858           0 :         if( bconj )
    5859             :         {
    5860           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5861             :             {
    5862           0 :                 vdst->x -= vsrc->x;
    5863           0 :                 vdst->y += vsrc->y;
    5864             :             }
    5865             :         }
    5866             :         else
    5867             :         {
    5868           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    5869             :             {
    5870           0 :                 vdst->x -= vsrc->x;
    5871           0 :                 vdst->y -= vsrc->y;
    5872             :             }
    5873             :         }
    5874             :     }
    5875           0 : }
    5876             : 
    5877           0 : 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)
    5878             : {
    5879           0 :     ae_v_caddd(vdst, stride_dst, vsrc, stride_src, conj_src, n, -alpha);
    5880           0 : }
    5881             : 
    5882           0 : 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)
    5883             : {
    5884           0 :     alpha.x = -alpha.x;
    5885           0 :     alpha.y = -alpha.y;
    5886           0 :     ae_v_caddc(vdst, stride_dst, vsrc, stride_src, conj_src, n, alpha);
    5887           0 : }
    5888             : 
    5889           0 : void ae_v_cmuld(ae_complex *vdst, ae_int_t stride_dst, ae_int_t n, double alpha)
    5890             : {
    5891             :     ae_int_t i;
    5892           0 :     if( stride_dst!=1 )
    5893             :     {
    5894             :         /*
    5895             :          * general unoptimized case
    5896             :          */
    5897           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    5898             :         {
    5899           0 :             vdst->x *= alpha;
    5900           0 :             vdst->y *= alpha;
    5901             :         }
    5902             :     }
    5903             :     else
    5904             :     {
    5905             :         /*
    5906             :          * optimized case
    5907             :          */
    5908           0 :         for(i=0; i<n; i++, vdst++)
    5909             :         {
    5910           0 :             vdst->x *= alpha;
    5911           0 :             vdst->y *= alpha;
    5912             :         }
    5913             :     }
    5914           0 : }
    5915             : 
    5916           0 : void ae_v_cmulc(ae_complex *vdst, ae_int_t stride_dst, ae_int_t n, ae_complex alpha)
    5917             : {
    5918             :     ae_int_t i;
    5919           0 :     if( stride_dst!=1 )
    5920             :     {
    5921             :         /*
    5922             :          * general unoptimized case
    5923             :          */
    5924           0 :         double ax = alpha.x, ay = alpha.y;
    5925           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    5926             :         {
    5927           0 :             double  dstx = vdst->x, dsty = vdst->y;
    5928           0 :             vdst->x = ax*dstx-ay*dsty;
    5929           0 :             vdst->y = ax*dsty+ay*dstx;
    5930             :         }
    5931             :     }
    5932             :     else
    5933             :     {
    5934             :         /*
    5935             :          * highly optimized case
    5936             :          */
    5937           0 :         double ax = alpha.x, ay = alpha.y;
    5938           0 :         for(i=0; i<n; i++, vdst++)
    5939             :         {
    5940           0 :             double  dstx = vdst->x, dsty = vdst->y;
    5941           0 :             vdst->x = ax*dstx-ay*dsty;
    5942           0 :             vdst->y = ax*dsty+ay*dstx;
    5943             :         }
    5944             :     }
    5945           0 : }
    5946             : 
    5947             : /************************************************************************
    5948             : Real BLAS operations
    5949             : ************************************************************************/
    5950           0 : double ae_v_dotproduct(const double *v0, ae_int_t stride0, const double *v1, ae_int_t stride1, ae_int_t n)
    5951             : {
    5952           0 :     double result = 0;
    5953             :     ae_int_t i;
    5954           0 :     if( stride0!=1 || stride1!=1 )
    5955             :     {
    5956             :         /*
    5957             :          * slow general code
    5958             :          */
    5959           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    5960           0 :             result += (*v0)*(*v1);
    5961             :     }
    5962             :     else
    5963             :     {
    5964             :         /*
    5965             :          * optimized code for stride=1
    5966             :          */
    5967           0 :         ae_int_t n4 = n/4;
    5968           0 :         ae_int_t nleft = n%4;
    5969           0 :         for(i=0; i<n4; i++, v0+=4, v1+=4)
    5970           0 :             result += v0[0]*v1[0]+v0[1]*v1[1]+v0[2]*v1[2]+v0[3]*v1[3];
    5971           0 :         for(i=0; i<nleft; i++, v0++, v1++)
    5972           0 :             result += v0[0]*v1[0];
    5973             :     }
    5974           0 :     return result;
    5975             : }
    5976             : 
    5977           0 : void ae_v_move(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n)
    5978             : {
    5979             :     ae_int_t i;
    5980           0 :     if( stride_dst!=1 || stride_src!=1 )
    5981             :     {
    5982             :         /*
    5983             :          * general unoptimized case
    5984             :          */
    5985           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    5986           0 :             *vdst = *vsrc;
    5987             :     }
    5988             :     else
    5989             :     {
    5990             :         /*
    5991             :          * optimized case
    5992             :          */
    5993           0 :         ae_int_t n2 = n/2;
    5994           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    5995             :         {
    5996           0 :             vdst[0] = vsrc[0];
    5997           0 :             vdst[1] = vsrc[1];
    5998             :         }
    5999           0 :         if( n%2!=0 )
    6000           0 :             vdst[0] = vsrc[0];
    6001             :     }
    6002           0 : }
    6003             : 
    6004           0 : void ae_v_moveneg(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n)
    6005             : {
    6006             :     ae_int_t i;
    6007           0 :     if( stride_dst!=1 || stride_src!=1 )
    6008             :     {
    6009             :         /*
    6010             :          * general unoptimized case
    6011             :          */
    6012           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6013           0 :             *vdst = -*vsrc;
    6014             :     }
    6015             :     else
    6016             :     {
    6017             :         /*
    6018             :          * optimized case
    6019             :          */
    6020           0 :         ae_int_t n2 = n/2;
    6021           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6022             :         {
    6023           0 :             vdst[0] = -vsrc[0];
    6024           0 :             vdst[1] = -vsrc[1];
    6025             :         }
    6026           0 :         if( n%2!=0 )
    6027           0 :             vdst[0] = -vsrc[0];
    6028             :     }
    6029           0 : }
    6030             : 
    6031           0 : 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)
    6032             : {
    6033             :     ae_int_t i;
    6034           0 :     if( stride_dst!=1 || stride_src!=1 )
    6035             :     {
    6036             :         /*
    6037             :          * general unoptimized case
    6038             :          */
    6039           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6040           0 :             *vdst = alpha*(*vsrc);
    6041             :     }
    6042             :     else
    6043             :     {
    6044             :         /*
    6045             :          * optimized case
    6046             :          */
    6047           0 :         ae_int_t n2 = n/2;
    6048           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6049             :         {
    6050           0 :             vdst[0] = alpha*vsrc[0];
    6051           0 :             vdst[1] = alpha*vsrc[1];
    6052             :         }
    6053           0 :         if( n%2!=0 )
    6054           0 :             vdst[0] = alpha*vsrc[0];
    6055             :     }
    6056           0 : }
    6057             : 
    6058           0 : void ae_v_add(double *vdst,     ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n)
    6059             : {
    6060             :     ae_int_t i;
    6061           0 :     if( stride_dst!=1 || stride_src!=1 )
    6062             :     {
    6063             :         /*
    6064             :          * general unoptimized case
    6065             :          */
    6066           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6067           0 :             *vdst += *vsrc;
    6068             :     }
    6069             :     else
    6070             :     {
    6071             :         /*
    6072             :          * optimized case
    6073             :          */
    6074           0 :         ae_int_t n2 = n/2;
    6075           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6076             :         {
    6077           0 :             vdst[0] += vsrc[0];
    6078           0 :             vdst[1] += vsrc[1];
    6079             :         }
    6080           0 :         if( n%2!=0 )
    6081           0 :             vdst[0] += vsrc[0];
    6082             :     }
    6083           0 : }
    6084             : 
    6085           0 : 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)
    6086             : {
    6087             :     ae_int_t i;
    6088           0 :     if( stride_dst!=1 || stride_src!=1 )
    6089             :     {
    6090             :         /*
    6091             :          * general unoptimized case
    6092             :          */
    6093           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6094           0 :             *vdst += alpha*(*vsrc);
    6095             :     }
    6096             :     else
    6097             :     {
    6098             :         /*
    6099             :          * optimized case
    6100             :          */
    6101           0 :         ae_int_t n2 = n/2;
    6102           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6103             :         {
    6104           0 :             vdst[0] += alpha*vsrc[0];
    6105           0 :             vdst[1] += alpha*vsrc[1];
    6106             :         }
    6107           0 :         if( n%2!=0 )
    6108           0 :             vdst[0] += alpha*vsrc[0];
    6109             :     }
    6110           0 : }
    6111             : 
    6112           0 : void ae_v_sub(double *vdst,     ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n)
    6113             : {
    6114             :     ae_int_t i;
    6115           0 :     if( stride_dst!=1 || stride_src!=1 )
    6116             :     {
    6117             :         /*
    6118             :          * general unoptimized case
    6119             :          */
    6120           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6121           0 :             *vdst -= *vsrc;
    6122             :     }
    6123             :     else
    6124             :     {
    6125             :         /*
    6126             :          * highly optimized case
    6127             :          */
    6128           0 :         ae_int_t n2 = n/2;
    6129           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6130             :         {
    6131           0 :             vdst[0] -= vsrc[0];
    6132           0 :             vdst[1] -= vsrc[1];
    6133             :         }
    6134           0 :         if( n%2!=0 )
    6135           0 :             vdst[0] -= vsrc[0];
    6136             :     }
    6137           0 : }
    6138             : 
    6139           0 : 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)
    6140             : {
    6141           0 :     ae_v_addd(vdst, stride_dst, vsrc, stride_src, n, -alpha);
    6142           0 : }
    6143             : 
    6144           0 : void ae_v_muld(double *vdst,  ae_int_t stride_dst, ae_int_t n, double alpha)
    6145             : {
    6146             :     ae_int_t i;
    6147           0 :     if( stride_dst!=1 )
    6148             :     {
    6149             :         /*
    6150             :          * general unoptimized case
    6151             :          */
    6152           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    6153           0 :             *vdst *= alpha;
    6154             :     }
    6155             :     else
    6156             :     {
    6157             :         /*
    6158             :          * highly optimized case
    6159             :          */
    6160           0 :         for(i=0; i<n; i++, vdst++)
    6161           0 :             *vdst *= alpha;
    6162             :     }
    6163           0 : }
    6164             : 
    6165             : /************************************************************************
    6166             : Other functions
    6167             : ************************************************************************/
    6168           0 : ae_int_t ae_v_len(ae_int_t a, ae_int_t b)
    6169             : {
    6170           0 :     return b-a+1;
    6171             : }
    6172             : 
    6173             : /************************************************************************
    6174             : RComm functions
    6175             : ************************************************************************/
    6176           0 : void _rcommstate_init(rcommstate* p, ae_state *_state, ae_bool make_automatic)
    6177             : {
    6178             :     /* initial zero-filling */
    6179           0 :     memset(&p->ba, 0, sizeof(p->ba));
    6180           0 :     memset(&p->ia, 0, sizeof(p->ia));
    6181           0 :     memset(&p->ra, 0, sizeof(p->ra));
    6182           0 :     memset(&p->ca, 0, sizeof(p->ca));
    6183             :     
    6184             :     /* initialization */
    6185           0 :     ae_vector_init(&p->ba, 0, DT_BOOL,    _state, make_automatic);
    6186           0 :     ae_vector_init(&p->ia, 0, DT_INT,     _state, make_automatic);
    6187           0 :     ae_vector_init(&p->ra, 0, DT_REAL,    _state, make_automatic);
    6188           0 :     ae_vector_init(&p->ca, 0, DT_COMPLEX, _state, make_automatic);
    6189           0 : }
    6190             : 
    6191           0 : void _rcommstate_init_copy(rcommstate* dst, rcommstate* src, ae_state *_state, ae_bool make_automatic)
    6192             : {
    6193             :     /* initial zero-filling */
    6194           0 :     memset(&dst->ba, 0, sizeof(dst->ba));
    6195           0 :     memset(&dst->ia, 0, sizeof(dst->ia));
    6196           0 :     memset(&dst->ra, 0, sizeof(dst->ra));
    6197           0 :     memset(&dst->ca, 0, sizeof(dst->ca));
    6198             :     
    6199             :     /* initialization */
    6200           0 :     ae_vector_init_copy(&dst->ba, &src->ba, _state, make_automatic);
    6201           0 :     ae_vector_init_copy(&dst->ia, &src->ia, _state, make_automatic);
    6202           0 :     ae_vector_init_copy(&dst->ra, &src->ra, _state, make_automatic);
    6203           0 :     ae_vector_init_copy(&dst->ca, &src->ca, _state, make_automatic);
    6204           0 :     dst->stage = src->stage;
    6205           0 : }
    6206             : 
    6207           0 : void _rcommstate_clear(rcommstate* p)
    6208             : {
    6209           0 :     ae_vector_clear(&p->ba);
    6210           0 :     ae_vector_clear(&p->ia);
    6211           0 :     ae_vector_clear(&p->ra);
    6212           0 :     ae_vector_clear(&p->ca);
    6213           0 : }
    6214             : 
    6215           0 : void _rcommstate_destroy(rcommstate* p)
    6216             : {
    6217           0 :     _rcommstate_clear(p);
    6218           0 : }
    6219             : 
    6220             : 
    6221             : }
    6222             : 
    6223             : /////////////////////////////////////////////////////////////////////////
    6224             : //
    6225             : // THIS SECTION CONTAINS C++ RELATED FUNCTIONALITY
    6226             : //
    6227             : /////////////////////////////////////////////////////////////////////////
    6228             : /********************************************************************
    6229             : Internal forwards
    6230             : ********************************************************************/
    6231             : namespace alglib
    6232             : {
    6233             :     double get_aenv_nan();
    6234             :     double get_aenv_posinf();
    6235             :     double get_aenv_neginf();
    6236             :     ae_int_t my_stricmp(const char *s1, const char *s2);
    6237             :     char* filter_spaces(const char *s);
    6238             :     void str_vector_create(const char *src, bool match_head_only, std::vector<const char*> *p_vec);
    6239             :     void str_matrix_create(const char *src, std::vector< std::vector<const char*> > *p_mat);
    6240             :     
    6241             :     ae_bool parse_bool_delim(const char *s, const char *delim);
    6242             :     ae_int_t parse_int_delim(const char *s, const char *delim);
    6243             :     bool _parse_real_delim(const char *s, const char *delim, double *result, const char **new_s);
    6244             :     double parse_real_delim(const char *s, const char *delim);
    6245             :     alglib::complex parse_complex_delim(const char *s, const char *delim);
    6246             : 
    6247             :     std::string arraytostring(const bool *ptr, ae_int_t n);
    6248             :     std::string arraytostring(const ae_int_t *ptr, ae_int_t n);
    6249             :     std::string arraytostring(const double *ptr, ae_int_t n, int dps);
    6250             :     std::string arraytostring(const alglib::complex *ptr, ae_int_t n, int dps);
    6251             : }
    6252             : 
    6253             : /********************************************************************
    6254             : Global and local constants/variables
    6255             : ********************************************************************/
    6256             : const double alglib::machineepsilon = 5E-16;
    6257             : const double alglib::maxrealnumber  = 1E300;
    6258             : const double alglib::minrealnumber  = 1E-300;
    6259             : const alglib::ae_int_t alglib::endianness =  alglib_impl::ae_get_endianness();
    6260             : const double alglib::fp_nan         =  alglib::get_aenv_nan();
    6261             : const double alglib::fp_posinf      =  alglib::get_aenv_posinf();
    6262             : const double alglib::fp_neginf      =  alglib::get_aenv_neginf();
    6263             : #if defined(AE_NO_EXCEPTIONS)
    6264             : static const char *_alglib_last_error = NULL;
    6265             : #endif
    6266             : static const alglib_impl::ae_uint64_t _i64_xdefault  = 0x0;
    6267             : static const alglib_impl::ae_uint64_t _i64_xserial   = _ALGLIB_FLG_THREADING_SERIAL;
    6268             : static const alglib_impl::ae_uint64_t _i64_xparallel = _ALGLIB_FLG_THREADING_PARALLEL;
    6269             : const alglib::xparams &alglib::xdefault = *((const alglib::xparams *)(&_i64_xdefault));
    6270             : const alglib::xparams &alglib::serial   = *((const alglib::xparams *)(&_i64_xserial));
    6271             : const alglib::xparams &alglib::parallel = *((const alglib::xparams *)(&_i64_xparallel));
    6272             : 
    6273             : 
    6274             : 
    6275             : /********************************************************************
    6276             : Exception handling
    6277             : ********************************************************************/
    6278             : #if !defined(AE_NO_EXCEPTIONS)
    6279           0 : alglib::ap_error::ap_error()
    6280             : {
    6281           0 : }
    6282             : 
    6283           0 : alglib::ap_error::ap_error(const char *s)
    6284             : {
    6285           0 :     msg = s; 
    6286           0 : }
    6287             : 
    6288           0 : void alglib::ap_error::make_assertion(bool bClause)
    6289             : {
    6290           0 :     if(!bClause) 
    6291           0 :         _ALGLIB_CPP_EXCEPTION(""); 
    6292           0 : }
    6293             : 
    6294           0 : void alglib::ap_error::make_assertion(bool bClause, const char *p_msg)
    6295             : { 
    6296           0 :     if(!bClause) 
    6297           0 :         _ALGLIB_CPP_EXCEPTION(p_msg); 
    6298           0 : }
    6299             : #else
    6300             : void alglib::set_error_flag(const char *s)
    6301             : {
    6302             :     if( s==NULL )
    6303             :         s = "ALGLIB: unknown error";
    6304             :     _alglib_last_error = s;
    6305             : }
    6306             : 
    6307             : bool alglib::get_error_flag(const char **p_msg)
    6308             : {
    6309             :     if( _alglib_last_error==NULL )
    6310             :         return false;
    6311             :     if( p_msg!=NULL )
    6312             :         *p_msg = _alglib_last_error;
    6313             :     return true;
    6314             : }
    6315             : 
    6316             : void alglib::clear_error_flag()
    6317             : {
    6318             :     _alglib_last_error = NULL;
    6319             : }
    6320             : #endif
    6321             : 
    6322             : /********************************************************************
    6323             : Complex number with double precision.
    6324             : ********************************************************************/
    6325           0 : alglib::complex::complex():x(0.0),y(0.0)
    6326             : {
    6327           0 : }
    6328             : 
    6329           0 : alglib::complex::complex(const double &_x):x(_x),y(0.0)
    6330             : {
    6331           0 : }
    6332             : 
    6333           0 : alglib::complex::complex(const double &_x, const double &_y):x(_x),y(_y)
    6334             : {
    6335           0 : }
    6336             : 
    6337           0 : alglib::complex::complex(const alglib::complex &z):x(z.x),y(z.y)
    6338             : {
    6339           0 : }
    6340             : 
    6341           0 : alglib::complex& alglib::complex::operator= (const double& v)
    6342             : {
    6343           0 :     x = v; 
    6344           0 :     y = 0.0; 
    6345           0 :     return *this; 
    6346             : }
    6347             : 
    6348           0 : alglib::complex& alglib::complex::operator+=(const double& v)
    6349             : {
    6350           0 :     x += v;
    6351           0 :     return *this; 
    6352             : }
    6353             : 
    6354           0 : alglib::complex& alglib::complex::operator-=(const double& v)
    6355             : {
    6356           0 :     x -= v;
    6357           0 :     return *this;
    6358             : }
    6359             : 
    6360           0 : alglib::complex& alglib::complex::operator*=(const double& v)
    6361             : {
    6362           0 :     x *= v;
    6363           0 :     y *= v;
    6364           0 :     return *this; 
    6365             : }
    6366             : 
    6367           0 : alglib::complex& alglib::complex::operator/=(const double& v)
    6368             : {
    6369           0 :     x /= v;
    6370           0 :     y /= v;
    6371           0 :     return *this;
    6372             : }
    6373             : 
    6374           0 : alglib::complex& alglib::complex::operator= (const alglib::complex& z)
    6375             : {
    6376           0 :     x = z.x;
    6377           0 :     y = z.y;
    6378           0 :     return *this;
    6379             : }
    6380             : 
    6381           0 : alglib::complex& alglib::complex::operator+=(const alglib::complex& z)
    6382             : {
    6383           0 :     x += z.x;
    6384           0 :     y += z.y;
    6385           0 :     return *this;
    6386             : }
    6387             : 
    6388           0 : alglib::complex& alglib::complex::operator-=(const alglib::complex& z)
    6389             : {
    6390           0 :     x -= z.x;
    6391           0 :     y -= z.y;
    6392           0 :     return *this;
    6393             : }
    6394             : 
    6395           0 : alglib::complex& alglib::complex::operator*=(const alglib::complex& z)
    6396             : {
    6397           0 :     double t = x*z.x-y*z.y;
    6398           0 :     y = x*z.y+y*z.x;
    6399           0 :     x = t; 
    6400           0 :     return *this;
    6401             : }
    6402             : 
    6403           0 : alglib::complex& alglib::complex::operator/=(const alglib::complex& z)
    6404             : {
    6405           0 :     alglib::complex result;
    6406             :     double e;
    6407             :     double f;
    6408           0 :     if( fabs(z.y)<fabs(z.x) )
    6409             :     {
    6410           0 :         e = z.y/z.x;
    6411           0 :         f = z.x+z.y*e;
    6412           0 :         result.x = (x+y*e)/f;
    6413           0 :         result.y = (y-x*e)/f;
    6414             :     }
    6415             :     else
    6416             :     {
    6417           0 :         e = z.x/z.y;
    6418           0 :         f = z.y+z.x*e;
    6419           0 :         result.x = (y+x*e)/f;
    6420           0 :         result.y = (-x+y*e)/f;
    6421             :     }
    6422           0 :     *this = result;
    6423           0 :     return *this;
    6424             : }
    6425             : 
    6426           0 : alglib_impl::ae_complex* alglib::complex::c_ptr()
    6427             : {
    6428           0 :     return (alglib_impl::ae_complex*)this;
    6429             : }
    6430             : 
    6431           0 : const alglib_impl::ae_complex* alglib::complex::c_ptr() const
    6432             : {
    6433           0 :     return (const alglib_impl::ae_complex*)this;
    6434             : }
    6435             :     
    6436             : #if !defined(AE_NO_EXCEPTIONS)
    6437           0 : std::string alglib::complex::tostring(int _dps) const
    6438             : {
    6439             :     char mask[32];
    6440             :     char buf_x[32];
    6441             :     char buf_y[32];
    6442             :     char buf_zero[32];
    6443           0 :     int dps = _dps>=0 ? _dps : -_dps;
    6444           0 :     if( dps<=0 || dps>=20 )
    6445           0 :         _ALGLIB_CPP_EXCEPTION("complex::tostring(): incorrect dps");
    6446             : 
    6447             :     // handle IEEE special quantities
    6448           0 :     if( fp_isnan(x) || fp_isnan(y) )
    6449           0 :         return "NAN";
    6450           0 :     if( fp_isinf(x) || fp_isinf(y) )
    6451           0 :         return "INF";
    6452             : 
    6453             :     // generate mask
    6454           0 :     if( sprintf(mask, "%%.%d%s", dps, _dps>=0 ? "f" : "e")>=(int)sizeof(mask) )
    6455           0 :         _ALGLIB_CPP_EXCEPTION("complex::tostring(): buffer overflow");
    6456             : 
    6457             :     // print |x|, |y| and zero with same mask and compare
    6458           0 :     if( sprintf(buf_x, mask, (double)(fabs(x)))>=(int)sizeof(buf_x) )
    6459           0 :         _ALGLIB_CPP_EXCEPTION("complex::tostring(): buffer overflow");
    6460           0 :     if( sprintf(buf_y, mask, (double)(fabs(y)))>=(int)sizeof(buf_y) )
    6461           0 :         _ALGLIB_CPP_EXCEPTION("complex::tostring(): buffer overflow");
    6462           0 :     if( sprintf(buf_zero, mask, (double)0)>=(int)sizeof(buf_zero) )
    6463           0 :         _ALGLIB_CPP_EXCEPTION("complex::tostring(): buffer overflow");
    6464             : 
    6465             :     // different zero/nonzero patterns
    6466           0 :     if( strcmp(buf_x,buf_zero)!=0 && strcmp(buf_y,buf_zero)!=0 )
    6467           0 :         return std::string(x>0 ? "" : "-")+buf_x+(y>0 ? "+" : "-")+buf_y+"i";
    6468           0 :     if( strcmp(buf_x,buf_zero)!=0 && strcmp(buf_y,buf_zero)==0 )
    6469           0 :         return std::string(x>0 ? "" : "-")+buf_x;
    6470           0 :     if( strcmp(buf_x,buf_zero)==0 && strcmp(buf_y,buf_zero)!=0 )
    6471           0 :         return std::string(y>0 ? "" : "-")+buf_y+"i";
    6472           0 :     return std::string("0");
    6473             : }
    6474             : #endif
    6475             : 
    6476           0 : bool alglib::operator==(const alglib::complex& lhs, const alglib::complex& rhs)
    6477             : {
    6478           0 :     volatile double x1 = lhs.x;
    6479           0 :     volatile double x2 = rhs.x;
    6480           0 :     volatile double y1 = lhs.y;
    6481           0 :     volatile double y2 = rhs.y;
    6482           0 :     return x1==x2 && y1==y2;
    6483             : }
    6484             : 
    6485           0 : bool alglib::operator!=(const alglib::complex& lhs, const alglib::complex& rhs)
    6486           0 : { return !(lhs==rhs); }
    6487             : 
    6488           0 : const alglib::complex alglib::operator+(const alglib::complex& lhs)
    6489           0 : { return lhs; }
    6490             : 
    6491           0 : const alglib::complex alglib::operator-(const alglib::complex& lhs)
    6492           0 : { return alglib::complex(-lhs.x, -lhs.y); }
    6493             : 
    6494           0 : const alglib::complex alglib::operator+(const alglib::complex& lhs, const alglib::complex& rhs)
    6495           0 : { alglib::complex r = lhs; r += rhs; return r; }
    6496             : 
    6497           0 : const alglib::complex alglib::operator+(const alglib::complex& lhs, const double& rhs)
    6498           0 : { alglib::complex r = lhs; r += rhs; return r; }
    6499             : 
    6500           0 : const alglib::complex alglib::operator+(const double& lhs, const alglib::complex& rhs)
    6501           0 : { alglib::complex r = rhs; r += lhs; return r; }
    6502             : 
    6503           0 : const alglib::complex alglib::operator-(const alglib::complex& lhs, const alglib::complex& rhs)
    6504           0 : { alglib::complex r = lhs; r -= rhs; return r; }
    6505             : 
    6506           0 : const alglib::complex alglib::operator-(const alglib::complex& lhs, const double& rhs)
    6507           0 : { alglib::complex r = lhs; r -= rhs; return r; }
    6508             : 
    6509           0 : const alglib::complex alglib::operator-(const double& lhs, const alglib::complex& rhs)
    6510           0 : { alglib::complex r = lhs; r -= rhs; return r; }
    6511             : 
    6512           0 : const alglib::complex alglib::operator*(const alglib::complex& lhs, const alglib::complex& rhs)
    6513           0 : { return alglib::complex(lhs.x*rhs.x - lhs.y*rhs.y,  lhs.x*rhs.y + lhs.y*rhs.x); }
    6514             : 
    6515           0 : const alglib::complex alglib::operator*(const alglib::complex& lhs, const double& rhs)
    6516           0 : { return alglib::complex(lhs.x*rhs,  lhs.y*rhs); }
    6517             : 
    6518           0 : const alglib::complex alglib::operator*(const double& lhs, const alglib::complex& rhs)
    6519           0 : { return alglib::complex(lhs*rhs.x,  lhs*rhs.y); }
    6520             : 
    6521           0 : const alglib::complex alglib::operator/(const alglib::complex& lhs, const alglib::complex& rhs)
    6522             : {
    6523           0 :     alglib::complex result;
    6524             :     double e;
    6525             :     double f;
    6526           0 :     if( fabs(rhs.y)<fabs(rhs.x) )
    6527             :     {
    6528           0 :         e = rhs.y/rhs.x;
    6529           0 :         f = rhs.x+rhs.y*e;
    6530           0 :         result.x = (lhs.x+lhs.y*e)/f;
    6531           0 :         result.y = (lhs.y-lhs.x*e)/f;
    6532             :     }
    6533             :     else
    6534             :     {
    6535           0 :         e = rhs.x/rhs.y;
    6536           0 :         f = rhs.y+rhs.x*e;
    6537           0 :         result.x = (lhs.y+lhs.x*e)/f;
    6538           0 :         result.y = (-lhs.x+lhs.y*e)/f;
    6539             :     }
    6540           0 :     return result;
    6541             : }
    6542             : 
    6543           0 : const alglib::complex alglib::operator/(const double& lhs, const alglib::complex& rhs)
    6544             : {
    6545           0 :     alglib::complex result;
    6546             :     double e;
    6547             :     double f;
    6548           0 :     if( fabs(rhs.y)<fabs(rhs.x) )
    6549             :     {
    6550           0 :         e = rhs.y/rhs.x;
    6551           0 :         f = rhs.x+rhs.y*e;
    6552           0 :         result.x = lhs/f;
    6553           0 :         result.y = -lhs*e/f;
    6554             :     }
    6555             :     else
    6556             :     {
    6557           0 :         e = rhs.x/rhs.y;
    6558           0 :         f = rhs.y+rhs.x*e;
    6559           0 :         result.x = lhs*e/f;
    6560           0 :         result.y = -lhs/f;
    6561             :     }
    6562           0 :     return result;
    6563             : }
    6564             : 
    6565           0 : const alglib::complex alglib::operator/(const alglib::complex& lhs, const double& rhs)
    6566           0 : { return alglib::complex(lhs.x/rhs, lhs.y/rhs); }
    6567             : 
    6568           0 : double alglib::abscomplex(const alglib::complex &z)
    6569             : {
    6570             :     double w;
    6571             :     double xabs;
    6572             :     double yabs;
    6573             :     double v;
    6574             : 
    6575           0 :     xabs = fabs(z.x);
    6576           0 :     yabs = fabs(z.y);
    6577           0 :     w = xabs>yabs ? xabs : yabs;
    6578           0 :     v = xabs<yabs ? xabs : yabs; 
    6579           0 :     if( v==0 )
    6580           0 :         return w;
    6581             :     else
    6582             :     {
    6583           0 :         double t = v/w;
    6584           0 :         return w*sqrt(1+t*t);
    6585             :     }
    6586             : }
    6587             : 
    6588           0 : alglib::complex alglib::conj(const alglib::complex &z)
    6589           0 : { return alglib::complex(z.x, -z.y); }
    6590             : 
    6591           0 : alglib::complex alglib::csqr(const alglib::complex &z)
    6592           0 : { return alglib::complex(z.x*z.x-z.y*z.y, 2*z.x*z.y); }
    6593             : 
    6594           0 : void alglib::setnworkers(alglib::ae_int_t nworkers)
    6595             : {
    6596             : #ifdef AE_HPC
    6597             :     alglib_impl::ae_set_cores_to_use(nworkers);
    6598             : #endif
    6599           0 : }
    6600             : 
    6601           0 : void alglib::setglobalthreading(const alglib::xparams settings)
    6602             : {
    6603             : #ifdef AE_HPC
    6604             :     alglib_impl::ae_set_global_threading(settings.flags);
    6605             : #endif
    6606           0 : }
    6607             : 
    6608           0 : alglib::ae_int_t alglib::getnworkers()
    6609             : {
    6610             : #ifdef AE_HPC
    6611             :     return alglib_impl::ae_get_cores_to_use();
    6612             : #else
    6613           0 :     return 1;
    6614             : #endif
    6615             : }
    6616             : 
    6617           0 : alglib::ae_int_t alglib::_ae_cores_count()
    6618             : {
    6619             : #ifdef AE_HPC
    6620             :     return alglib_impl::ae_cores_count();
    6621             : #else
    6622           0 :     return 1;
    6623             : #endif
    6624             : }
    6625             : 
    6626           0 : void alglib::_ae_set_global_threading(alglib_impl::ae_uint64_t flg_value)
    6627             : {
    6628             : #ifdef AE_HPC
    6629             :     alglib_impl::ae_set_global_threading(flg_value);
    6630             : #endif
    6631           0 : }
    6632             : 
    6633           0 : alglib_impl::ae_uint64_t alglib::_ae_get_global_threading()
    6634             : {
    6635             : #ifdef AE_HPC
    6636             :     return alglib_impl::ae_get_global_threading();
    6637             : #else
    6638           0 :     return _ALGLIB_FLG_THREADING_SERIAL;
    6639             : #endif
    6640             : }
    6641             : 
    6642             : 
    6643             : /********************************************************************
    6644             : Level 1 BLAS functions
    6645             : ********************************************************************/
    6646           0 : double alglib::vdotproduct(const double *v0, ae_int_t stride0, const double *v1, ae_int_t stride1, ae_int_t n)
    6647             : {
    6648           0 :     double result = 0;
    6649             :     ae_int_t i;
    6650           0 :     if( stride0!=1 || stride1!=1 )
    6651             :     {
    6652             :         //
    6653             :         // slow general code
    6654             :         //
    6655           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    6656           0 :             result += (*v0)*(*v1);
    6657             :     }
    6658             :     else
    6659             :     {
    6660             :         //
    6661             :         // optimized code for stride=1
    6662             :         //
    6663           0 :         ae_int_t n4 = n/4;
    6664           0 :         ae_int_t nleft = n%4;
    6665           0 :         for(i=0; i<n4; i++, v0+=4, v1+=4)
    6666           0 :             result += v0[0]*v1[0]+v0[1]*v1[1]+v0[2]*v1[2]+v0[3]*v1[3];
    6667           0 :         for(i=0; i<nleft; i++, v0++, v1++)
    6668           0 :             result += v0[0]*v1[0];
    6669             :     }
    6670           0 :     return result;
    6671             : }
    6672             : 
    6673           0 : double alglib::vdotproduct(const double *v1, const double *v2, ae_int_t N)
    6674             : {
    6675           0 :     return vdotproduct(v1, 1, v2, 1, N);
    6676             : }
    6677             : 
    6678           0 : alglib::complex alglib::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)
    6679             : {
    6680           0 :     double rx = 0, ry = 0;
    6681             :     ae_int_t i;
    6682           0 :     bool bconj0 = !((conj0[0]=='N') || (conj0[0]=='n'));
    6683           0 :     bool bconj1 = !((conj1[0]=='N') || (conj1[0]=='n'));
    6684           0 :     if( bconj0 && bconj1 )
    6685             :     {
    6686             :         double v0x, v0y, v1x, v1y;
    6687           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    6688             :         {
    6689           0 :             v0x = v0->x;
    6690           0 :             v0y = -v0->y;
    6691           0 :             v1x = v1->x;
    6692           0 :             v1y = -v1->y;
    6693           0 :             rx += v0x*v1x-v0y*v1y;
    6694           0 :             ry += v0x*v1y+v0y*v1x;
    6695             :         }
    6696             :     }
    6697           0 :     if( !bconj0 && bconj1 )
    6698             :     {
    6699             :         double v0x, v0y, v1x, v1y;
    6700           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    6701             :         {
    6702           0 :             v0x = v0->x;
    6703           0 :             v0y = v0->y;
    6704           0 :             v1x = v1->x;
    6705           0 :             v1y = -v1->y;
    6706           0 :             rx += v0x*v1x-v0y*v1y;
    6707           0 :             ry += v0x*v1y+v0y*v1x;
    6708             :         }
    6709             :     }
    6710           0 :     if( bconj0 && !bconj1 )
    6711             :     {
    6712             :         double v0x, v0y, v1x, v1y;
    6713           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    6714             :         {
    6715           0 :             v0x = v0->x;
    6716           0 :             v0y = -v0->y;
    6717           0 :             v1x = v1->x;
    6718           0 :             v1y = v1->y;
    6719           0 :             rx += v0x*v1x-v0y*v1y;
    6720           0 :             ry += v0x*v1y+v0y*v1x;
    6721             :         }
    6722             :     }
    6723           0 :     if( !bconj0 && !bconj1 )
    6724             :     {
    6725             :         double v0x, v0y, v1x, v1y;
    6726           0 :         for(i=0; i<n; i++, v0+=stride0, v1+=stride1)
    6727             :         {
    6728           0 :             v0x = v0->x;
    6729           0 :             v0y = v0->y;
    6730           0 :             v1x = v1->x;
    6731           0 :             v1y = v1->y;
    6732           0 :             rx += v0x*v1x-v0y*v1y;
    6733           0 :             ry += v0x*v1y+v0y*v1x;
    6734             :         }
    6735             :     }
    6736           0 :     return alglib::complex(rx,ry);
    6737             : }
    6738             : 
    6739           0 : alglib::complex alglib::vdotproduct(const alglib::complex *v1, const alglib::complex *v2, ae_int_t N)
    6740             : {
    6741           0 :     return vdotproduct(v1, 1, "N", v2, 1, "N", N);
    6742             : }
    6743             : 
    6744           0 : void alglib::vmove(double *vdst, ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n)
    6745             : {
    6746             :     ae_int_t i;
    6747           0 :     if( stride_dst!=1 || stride_src!=1 )
    6748             :     {
    6749             :         //
    6750             :         // general unoptimized case
    6751             :         //
    6752           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6753           0 :             *vdst = *vsrc;
    6754             :     }
    6755             :     else
    6756             :     {
    6757             :         //
    6758             :         // optimized case
    6759             :         //
    6760           0 :         ae_int_t n2 = n/2;
    6761           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6762             :         {
    6763           0 :             vdst[0] = vsrc[0];
    6764           0 :             vdst[1] = vsrc[1];
    6765             :         }
    6766           0 :         if( n%2!=0 )
    6767           0 :             vdst[0] = vsrc[0];
    6768             :     }
    6769           0 : }
    6770             : 
    6771           0 : void alglib::vmove(double *vdst, const double* vsrc, ae_int_t N)
    6772             : {
    6773           0 :     vmove(vdst, 1, vsrc, 1, N);
    6774           0 : }
    6775             : 
    6776           0 : void alglib::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)
    6777             : {
    6778           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    6779             :     ae_int_t i;
    6780           0 :     if( stride_dst!=1 || stride_src!=1 )
    6781             :     {
    6782             :         //
    6783             :         // general unoptimized case
    6784             :         //
    6785           0 :         if( bconj )
    6786             :         {
    6787           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6788             :             {
    6789           0 :                 vdst->x =  vsrc->x;
    6790           0 :                 vdst->y = -vsrc->y;
    6791             :             }
    6792             :         }
    6793             :         else
    6794             :         {
    6795           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6796           0 :                 *vdst = *vsrc;
    6797             :         }
    6798             :     }
    6799             :     else
    6800             :     {
    6801             :         //
    6802             :         // optimized case
    6803             :         //
    6804           0 :         if( bconj )
    6805             :         {
    6806           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6807             :             {
    6808           0 :                 vdst->x =  vsrc->x;
    6809           0 :                 vdst->y = -vsrc->y;
    6810             :             }
    6811             :         }
    6812             :         else
    6813             :         {
    6814           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6815           0 :                 *vdst = *vsrc;
    6816             :         }
    6817             :     }
    6818           0 : }
    6819             : 
    6820           0 : void alglib::vmove(alglib::complex *vdst, const alglib::complex* vsrc, ae_int_t N)
    6821             : {
    6822           0 :     vmove(vdst, 1, vsrc, 1, "N", N);
    6823           0 : }
    6824             : 
    6825           0 : void alglib::vmoveneg(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n)
    6826             : {
    6827             :     ae_int_t i;
    6828           0 :     if( stride_dst!=1 || stride_src!=1 )
    6829             :     {
    6830             :         //
    6831             :         // general unoptimized case
    6832             :         //
    6833           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6834           0 :             *vdst = -*vsrc;
    6835             :     }
    6836             :     else
    6837             :     {
    6838             :         //
    6839             :         // optimized case
    6840             :         //
    6841           0 :         ae_int_t n2 = n/2;
    6842           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6843             :         {
    6844           0 :             vdst[0] = -vsrc[0];
    6845           0 :             vdst[1] = -vsrc[1];
    6846             :         }
    6847           0 :         if( n%2!=0 )
    6848           0 :             vdst[0] = -vsrc[0];
    6849             :     }
    6850           0 : }
    6851             : 
    6852           0 : void alglib::vmoveneg(double *vdst, const double *vsrc, ae_int_t N)
    6853             : {
    6854           0 :     vmoveneg(vdst, 1, vsrc, 1, N);
    6855           0 : }
    6856             : 
    6857           0 : void alglib::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)
    6858             : {
    6859           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    6860             :     ae_int_t i;
    6861           0 :     if( stride_dst!=1 || stride_src!=1 )
    6862             :     {
    6863             :         //
    6864             :         // general unoptimized case
    6865             :         //
    6866           0 :         if( bconj )
    6867             :         {
    6868           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6869             :             {
    6870           0 :                 vdst->x = -vsrc->x;
    6871           0 :                 vdst->y =  vsrc->y;
    6872             :             }
    6873             :         }
    6874             :         else
    6875             :         {
    6876           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6877             :             {
    6878           0 :                 vdst->x = -vsrc->x;
    6879           0 :                 vdst->y = -vsrc->y;
    6880             :             }
    6881             :         }
    6882             :     }
    6883             :     else
    6884             :     {
    6885             :         //
    6886             :         // optimized case
    6887             :         //
    6888           0 :         if( bconj )
    6889             :         {
    6890           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6891             :             {
    6892           0 :                 vdst->x = -vsrc->x;
    6893           0 :                 vdst->y =  vsrc->y;
    6894             :             }
    6895             :         }
    6896             :         else
    6897             :         {
    6898           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6899             :             {
    6900           0 :                 vdst->x = -vsrc->x;
    6901           0 :                 vdst->y = -vsrc->y;
    6902             :             }
    6903             :         }
    6904             :     }
    6905           0 : }
    6906             : 
    6907           0 : void alglib::vmoveneg(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N)
    6908             : {
    6909           0 :     vmoveneg(vdst, 1, vsrc, 1, "N", N);
    6910           0 : }
    6911             : 
    6912           0 : void alglib::vmove(double *vdst,  ae_int_t stride_dst, const double* vsrc,  ae_int_t stride_src, ae_int_t n, double alpha)
    6913             : {
    6914             :     ae_int_t i;
    6915           0 :     if( stride_dst!=1 || stride_src!=1 )
    6916             :     {
    6917             :         //
    6918             :         // general unoptimized case
    6919             :         //
    6920           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6921           0 :             *vdst = alpha*(*vsrc);
    6922             :     }
    6923             :     else
    6924             :     {
    6925             :         //
    6926             :         // optimized case
    6927             :         //
    6928           0 :         ae_int_t n2 = n/2;
    6929           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    6930             :         {
    6931           0 :             vdst[0] = alpha*vsrc[0];
    6932           0 :             vdst[1] = alpha*vsrc[1];
    6933             :         }
    6934           0 :         if( n%2!=0 )
    6935           0 :             vdst[0] = alpha*vsrc[0];
    6936             :     }
    6937           0 : }
    6938             : 
    6939           0 : void alglib::vmove(double *vdst, const double *vsrc, ae_int_t N, double alpha)
    6940             : {
    6941           0 :     vmove(vdst, 1, vsrc, 1, N, alpha);
    6942           0 : }
    6943             : 
    6944           0 : void alglib::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)
    6945             : {
    6946           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    6947             :     ae_int_t i;
    6948           0 :     if( stride_dst!=1 || stride_src!=1 )
    6949             :     {
    6950             :         //
    6951             :         // general unoptimized case
    6952             :         //
    6953           0 :         if( bconj )
    6954             :         {
    6955           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6956             :             {
    6957           0 :                 vdst->x =  alpha*vsrc->x;
    6958           0 :                 vdst->y = -alpha*vsrc->y;
    6959             :             }
    6960             :         }
    6961             :         else
    6962             :         {
    6963           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    6964             :             {
    6965           0 :                 vdst->x = alpha*vsrc->x;
    6966           0 :                 vdst->y = alpha*vsrc->y;
    6967             :             }
    6968             :         }
    6969             :     }
    6970             :     else
    6971             :     {
    6972             :         //
    6973             :         // optimized case
    6974             :         //
    6975           0 :         if( bconj )
    6976             :         {
    6977           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6978             :             {
    6979           0 :                 vdst->x =  alpha*vsrc->x;
    6980           0 :                 vdst->y = -alpha*vsrc->y;
    6981             :             }
    6982             :         }
    6983             :         else
    6984             :         {
    6985           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    6986             :             {
    6987           0 :                 vdst->x = alpha*vsrc->x;
    6988           0 :                 vdst->y = alpha*vsrc->y;
    6989             :             }
    6990             :         }
    6991             :     }
    6992           0 : }
    6993             : 
    6994           0 : void alglib::vmove(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, double alpha)
    6995             : {
    6996           0 :     vmove(vdst, 1, vsrc, 1, "N", N, alpha);
    6997           0 : }
    6998             : 
    6999           0 : void alglib::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)
    7000             : {
    7001           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    7002             :     ae_int_t i;
    7003           0 :     if( stride_dst!=1 || stride_src!=1 )
    7004             :     {
    7005             :         //
    7006             :         // general unoptimized case
    7007             :         //
    7008           0 :         if( bconj )
    7009             :         {
    7010           0 :             double ax = alpha.x, ay = alpha.y;
    7011           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7012             :             {
    7013           0 :                 vdst->x =  ax*vsrc->x+ay*vsrc->y;
    7014           0 :                 vdst->y = -ax*vsrc->y+ay*vsrc->x;
    7015             :             }
    7016             :         }
    7017             :         else
    7018             :         {
    7019           0 :             double ax = alpha.x, ay = alpha.y;
    7020           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7021             :             {
    7022           0 :                 vdst->x = ax*vsrc->x-ay*vsrc->y;
    7023           0 :                 vdst->y = ax*vsrc->y+ay*vsrc->x;
    7024             :             }
    7025             :         }
    7026           0 :     }
    7027             :     else
    7028             :     {
    7029             :         //
    7030             :         // optimized case
    7031             :         //
    7032           0 :         if( bconj )
    7033             :         {
    7034           0 :             double ax = alpha.x, ay = alpha.y;
    7035           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7036             :             {
    7037           0 :                 vdst->x =  ax*vsrc->x+ay*vsrc->y;
    7038           0 :                 vdst->y = -ax*vsrc->y+ay*vsrc->x;
    7039             :             }
    7040             :         }
    7041             :         else
    7042             :         {
    7043           0 :             double ax = alpha.x, ay = alpha.y;
    7044           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7045             :             {
    7046           0 :                 vdst->x = ax*vsrc->x-ay*vsrc->y;
    7047           0 :                 vdst->y = ax*vsrc->y+ay*vsrc->x;
    7048             :             }
    7049             :         }
    7050             :     }
    7051           0 : }
    7052             : 
    7053           0 : void alglib::vmove(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, alglib::complex alpha)
    7054             : {
    7055           0 :     vmove(vdst, 1, vsrc, 1, "N", N, alpha);
    7056           0 : }
    7057             : 
    7058           0 : void alglib::vadd(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n)
    7059             : {
    7060             :     ae_int_t i;
    7061           0 :     if( stride_dst!=1 || stride_src!=1 )
    7062             :     {
    7063             :         //
    7064             :         // general unoptimized case
    7065             :         //
    7066           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7067           0 :             *vdst += *vsrc;
    7068             :     }
    7069             :     else
    7070             :     {
    7071             :         //
    7072             :         // optimized case
    7073             :         //
    7074           0 :         ae_int_t n2 = n/2;
    7075           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    7076             :         {
    7077           0 :             vdst[0] += vsrc[0];
    7078           0 :             vdst[1] += vsrc[1];
    7079             :         }
    7080           0 :         if( n%2!=0 )
    7081           0 :             vdst[0] += vsrc[0];
    7082             :     }
    7083           0 : }
    7084             : 
    7085           0 : void alglib::vadd(double *vdst, const double *vsrc, ae_int_t N)
    7086             : {
    7087           0 :     vadd(vdst, 1, vsrc, 1, N);
    7088           0 : }
    7089             : 
    7090           0 : void alglib::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)
    7091             : {
    7092           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    7093             :     ae_int_t i;
    7094           0 :     if( stride_dst!=1 || stride_src!=1 )
    7095             :     {
    7096             :         //
    7097             :         // general unoptimized case
    7098             :         //
    7099           0 :         if( bconj )
    7100             :         {
    7101           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7102             :             {
    7103           0 :                 vdst->x += vsrc->x;
    7104           0 :                 vdst->y -= vsrc->y;
    7105             :             }
    7106             :         }
    7107             :         else
    7108             :         {
    7109           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7110             :             {
    7111           0 :                 vdst->x += vsrc->x;
    7112           0 :                 vdst->y += vsrc->y;
    7113             :             }
    7114             :         }
    7115             :     }
    7116             :     else
    7117             :     {
    7118             :         //
    7119             :         // optimized case
    7120             :         //
    7121           0 :         if( bconj )
    7122             :         {
    7123           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7124             :             {
    7125           0 :                 vdst->x += vsrc->x;
    7126           0 :                 vdst->y -= vsrc->y;
    7127             :             }
    7128             :         }
    7129             :         else
    7130             :         {
    7131           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7132             :             {
    7133           0 :                 vdst->x += vsrc->x;
    7134           0 :                 vdst->y += vsrc->y;
    7135             :             }
    7136             :         }
    7137             :     }
    7138           0 : }
    7139             : 
    7140           0 : void alglib::vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N)
    7141             : {
    7142           0 :     vadd(vdst, 1, vsrc, 1, "N", N);
    7143           0 : }
    7144             : 
    7145           0 : void alglib::vadd(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha)
    7146             : {
    7147             :     ae_int_t i;
    7148           0 :     if( stride_dst!=1 || stride_src!=1 )
    7149             :     {
    7150             :         //
    7151             :         // general unoptimized case
    7152             :         //
    7153           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7154           0 :             *vdst += alpha*(*vsrc);
    7155             :     }
    7156             :     else
    7157             :     {
    7158             :         //
    7159             :         // optimized case
    7160             :         //
    7161           0 :         ae_int_t n2 = n/2;
    7162           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    7163             :         {
    7164           0 :             vdst[0] += alpha*vsrc[0];
    7165           0 :             vdst[1] += alpha*vsrc[1];
    7166             :         }
    7167           0 :         if( n%2!=0 )
    7168           0 :             vdst[0] += alpha*vsrc[0];
    7169             :     }
    7170           0 : }
    7171             : 
    7172           0 : void alglib::vadd(double *vdst, const double *vsrc, ae_int_t N, double alpha)
    7173             : {
    7174           0 :     vadd(vdst, 1, vsrc, 1, N, alpha);
    7175           0 : }
    7176             : 
    7177           0 : void alglib::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)
    7178             : {
    7179           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    7180             :     ae_int_t i;
    7181           0 :     if( stride_dst!=1 || stride_src!=1 )
    7182             :     {
    7183             :         //
    7184             :         // general unoptimized case
    7185             :         //
    7186           0 :         if( bconj )
    7187             :         {
    7188           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7189             :             {
    7190           0 :                 vdst->x += alpha*vsrc->x;
    7191           0 :                 vdst->y -= alpha*vsrc->y;
    7192             :             }
    7193             :         }
    7194             :         else
    7195             :         {
    7196           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7197             :             {
    7198           0 :                 vdst->x += alpha*vsrc->x;
    7199           0 :                 vdst->y += alpha*vsrc->y;
    7200             :             }
    7201             :         }
    7202             :     }
    7203             :     else
    7204             :     {
    7205             :         //
    7206             :         // optimized case
    7207             :         //
    7208           0 :         if( bconj )
    7209             :         {
    7210           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7211             :             {
    7212           0 :                 vdst->x += alpha*vsrc->x;
    7213           0 :                 vdst->y -= alpha*vsrc->y;
    7214             :             }
    7215             :         }
    7216             :         else
    7217             :         {
    7218           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7219             :             {
    7220           0 :                 vdst->x += alpha*vsrc->x;
    7221           0 :                 vdst->y += alpha*vsrc->y;
    7222             :             }
    7223             :         }
    7224             :     }
    7225           0 : }
    7226             : 
    7227           0 : void alglib::vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, double alpha)
    7228             : {
    7229           0 :     vadd(vdst, 1, vsrc, 1, "N", N, alpha);
    7230           0 : }
    7231             : 
    7232           0 : void alglib::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)
    7233             : {
    7234           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    7235             :     ae_int_t i;
    7236           0 :     if( stride_dst!=1 || stride_src!=1 )
    7237             :     {
    7238             :         //
    7239             :         // general unoptimized case
    7240             :         //
    7241           0 :         double ax = alpha.x, ay = alpha.y;
    7242           0 :         if( bconj )
    7243             :         {
    7244           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7245             :             {
    7246           0 :                 vdst->x += ax*vsrc->x+ay*vsrc->y;
    7247           0 :                 vdst->y -= ax*vsrc->y-ay*vsrc->x;
    7248             :             }
    7249             :         }
    7250             :         else
    7251             :         {
    7252           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7253             :             {
    7254           0 :                 vdst->x += ax*vsrc->x-ay*vsrc->y;
    7255           0 :                 vdst->y += ax*vsrc->y+ay*vsrc->x;
    7256             :             }
    7257             :         }
    7258           0 :     }
    7259             :     else
    7260             :     {
    7261             :         //
    7262             :         // optimized case
    7263             :         //
    7264           0 :         double ax = alpha.x, ay = alpha.y;
    7265           0 :         if( bconj )
    7266             :         {
    7267           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7268             :             {
    7269           0 :                 vdst->x += ax*vsrc->x+ay*vsrc->y;
    7270           0 :                 vdst->y -= ax*vsrc->y-ay*vsrc->x;
    7271             :             }
    7272             :         }
    7273             :         else
    7274             :         {
    7275           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7276             :             {
    7277           0 :                 vdst->x += ax*vsrc->x-ay*vsrc->y;
    7278           0 :                 vdst->y += ax*vsrc->y+ay*vsrc->x;
    7279             :             }
    7280             :         }
    7281             :     }
    7282           0 : }
    7283             : 
    7284           0 : void alglib::vadd(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N, alglib::complex alpha)
    7285             : {
    7286           0 :     vadd(vdst, 1, vsrc, 1, "N", N, alpha);
    7287           0 : }
    7288             : 
    7289           0 : void alglib::vsub(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n)
    7290             : {
    7291             :     ae_int_t i;
    7292           0 :     if( stride_dst!=1 || stride_src!=1 )
    7293             :     {
    7294             :         //
    7295             :         // general unoptimized case
    7296             :         //
    7297           0 :         for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7298           0 :             *vdst -= *vsrc;
    7299             :     }
    7300             :     else
    7301             :     {
    7302             :         //
    7303             :         // optimized case
    7304             :         //
    7305           0 :         ae_int_t n2 = n/2;
    7306           0 :         for(i=0; i<n2; i++, vdst+=2, vsrc+=2)
    7307             :         {
    7308           0 :             vdst[0] -= vsrc[0];
    7309           0 :             vdst[1] -= vsrc[1];
    7310             :         }
    7311           0 :         if( n%2!=0 )
    7312           0 :             vdst[0] -= vsrc[0];
    7313             :     }
    7314           0 : }
    7315             : 
    7316           0 : void alglib::vsub(double *vdst, const double *vsrc, ae_int_t N)
    7317             : {
    7318           0 :     vsub(vdst, 1, vsrc, 1, N);
    7319           0 : }
    7320             : 
    7321           0 : void alglib::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)
    7322             : {
    7323           0 :     bool bconj = !((conj_src[0]=='N') || (conj_src[0]=='n'));
    7324             :     ae_int_t i;
    7325           0 :     if( stride_dst!=1 || stride_src!=1 )
    7326             :     {
    7327             :         //
    7328             :         // general unoptimized case
    7329             :         //
    7330           0 :         if( bconj )
    7331             :         {
    7332           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7333             :             {
    7334           0 :                 vdst->x -= vsrc->x;
    7335           0 :                 vdst->y += vsrc->y;
    7336             :             }
    7337             :         }
    7338             :         else
    7339             :         {
    7340           0 :             for(i=0; i<n; i++, vdst+=stride_dst, vsrc+=stride_src)
    7341             :             {
    7342           0 :                 vdst->x -= vsrc->x;
    7343           0 :                 vdst->y -= vsrc->y;
    7344             :             }
    7345             :         }
    7346             :     }
    7347             :     else
    7348             :     {
    7349             :         //
    7350             :         // optimized case
    7351             :         //
    7352           0 :         if( bconj )
    7353             :         {
    7354           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7355             :             {
    7356           0 :                 vdst->x -= vsrc->x;
    7357           0 :                 vdst->y += vsrc->y;
    7358             :             }
    7359             :         }
    7360             :         else
    7361             :         {
    7362           0 :             for(i=0; i<n; i++, vdst++, vsrc++)
    7363             :             {
    7364           0 :                 vdst->x -= vsrc->x;
    7365           0 :                 vdst->y -= vsrc->y;
    7366             :             }
    7367             :         }
    7368             :     }
    7369           0 : }
    7370             : 
    7371           0 : void alglib::vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t N)
    7372             : {
    7373           0 :     vsub(vdst, 1, vsrc, 1, "N", N);
    7374           0 : }
    7375             : 
    7376           0 : void alglib::vsub(double *vdst,  ae_int_t stride_dst, const double *vsrc,  ae_int_t stride_src, ae_int_t n, double alpha)
    7377             : {
    7378           0 :     vadd(vdst, stride_dst, vsrc, stride_src, n, -alpha);
    7379           0 : }
    7380             : 
    7381           0 : void alglib::vsub(double *vdst, const double *vsrc, ae_int_t N, double alpha)
    7382             : {
    7383           0 :     vadd(vdst, 1, vsrc, 1, N, -alpha);
    7384           0 : }
    7385             : 
    7386           0 : void alglib::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)
    7387             : {
    7388           0 :     vadd(vdst, stride_dst, vsrc, stride_src, conj_src, n, -alpha);
    7389           0 : }
    7390             : 
    7391           0 : void alglib::vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t n, double alpha)
    7392             : {
    7393           0 :     vadd(vdst, 1, vsrc, 1, "N", n, -alpha);
    7394           0 : }
    7395             : 
    7396           0 : void alglib::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)
    7397             : {
    7398           0 :     vadd(vdst, stride_dst, vsrc, stride_src, conj_src, n, -alpha);
    7399           0 : }
    7400             : 
    7401           0 : void alglib::vsub(alglib::complex *vdst, const alglib::complex *vsrc, ae_int_t n, alglib::complex alpha)
    7402             : {
    7403           0 :     vadd(vdst, 1, vsrc, 1, "N", n, -alpha);
    7404           0 : }
    7405           0 : void alglib::vmul(double *vdst,  ae_int_t stride_dst, ae_int_t n, double alpha)
    7406             : {
    7407             :     ae_int_t i;
    7408           0 :     if( stride_dst!=1 )
    7409             :     {
    7410             :         //
    7411             :         // general unoptimized case
    7412             :         //
    7413           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    7414           0 :             *vdst *= alpha;
    7415             :     }
    7416             :     else
    7417             :     {
    7418             :         //
    7419             :         // optimized case
    7420             :         //
    7421           0 :         for(i=0; i<n; i++, vdst++)
    7422           0 :             *vdst *= alpha;
    7423             :     }
    7424           0 : }
    7425             : 
    7426           0 : void alglib::vmul(double *vdst, ae_int_t N, double alpha)
    7427             : {
    7428           0 :     vmul(vdst, 1, N, alpha);
    7429           0 : }
    7430             : 
    7431           0 : void alglib::vmul(alglib::complex *vdst, ae_int_t stride_dst, ae_int_t n, double alpha)
    7432             : {
    7433             :     ae_int_t i;
    7434           0 :     if( stride_dst!=1 )
    7435             :     {
    7436             :         //
    7437             :         // general unoptimized case
    7438             :         //
    7439           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    7440             :         {
    7441           0 :             vdst->x *= alpha;
    7442           0 :             vdst->y *= alpha;
    7443             :         }
    7444             :     }
    7445             :     else
    7446             :     {
    7447             :         //
    7448             :         // optimized case
    7449             :         //
    7450           0 :         for(i=0; i<n; i++, vdst++)
    7451             :         {
    7452           0 :             vdst->x *= alpha;
    7453           0 :             vdst->y *= alpha;
    7454             :         }
    7455             :     }
    7456           0 : }
    7457             : 
    7458           0 : void alglib::vmul(alglib::complex *vdst, ae_int_t N, double alpha)
    7459             : {
    7460           0 :     vmul(vdst, 1, N, alpha);
    7461           0 : }
    7462             : 
    7463           0 : void alglib::vmul(alglib::complex *vdst, ae_int_t stride_dst, ae_int_t n, alglib::complex alpha)
    7464             : {
    7465             :     ae_int_t i;
    7466           0 :     if( stride_dst!=1 )
    7467             :     {
    7468             :         //
    7469             :         // general unoptimized case
    7470             :         //
    7471           0 :         double ax = alpha.x, ay = alpha.y;
    7472           0 :         for(i=0; i<n; i++, vdst+=stride_dst)
    7473             :         {
    7474           0 :             double  dstx = vdst->x, dsty = vdst->y;
    7475           0 :             vdst->x = ax*dstx-ay*dsty;
    7476           0 :             vdst->y = ax*dsty+ay*dstx;
    7477             :         }
    7478             :     }
    7479             :     else
    7480             :     {
    7481             :         //
    7482             :         // optimized case
    7483             :         //
    7484           0 :         double ax = alpha.x, ay = alpha.y;
    7485           0 :         for(i=0; i<n; i++, vdst++)
    7486             :         {
    7487           0 :             double  dstx = vdst->x, dsty = vdst->y;
    7488           0 :             vdst->x = ax*dstx-ay*dsty;
    7489           0 :             vdst->y = ax*dsty+ay*dstx;
    7490             :         }
    7491             :     }
    7492           0 : }
    7493             : 
    7494           0 : void alglib::vmul(alglib::complex *vdst, ae_int_t N, alglib::complex alpha)
    7495             : {
    7496           0 :     vmul(vdst, 1, N, alpha);
    7497           0 : }
    7498             : 
    7499           0 : alglib::ae_int_t alglib::vlen(ae_int_t n1, ae_int_t n2)
    7500             : {
    7501           0 :     return n2-n1+1;
    7502             : }
    7503             : 
    7504             : 
    7505             : /********************************************************************
    7506             : Matrices and vectors
    7507             : ********************************************************************/
    7508           0 : alglib::ae_vector_wrapper::ae_vector_wrapper(alglib_impl::ae_vector *e_ptr, alglib_impl::ae_datatype datatype)
    7509             : {
    7510           0 :     if( e_ptr==NULL || e_ptr->datatype!=datatype )
    7511             :     {
    7512           0 :         const char *msg = "ALGLIB: ae_vector_wrapper datatype check failed";
    7513             : #if !defined(AE_NO_EXCEPTIONS)
    7514           0 :         _ALGLIB_CPP_EXCEPTION(msg);
    7515             : #else
    7516             :         ptr = NULL;
    7517             :         is_frozen_proxy = false;
    7518             :         _ALGLIB_SET_ERROR_FLAG(msg);
    7519             :         return;
    7520             : #endif
    7521             :     }
    7522           0 :     ptr = e_ptr;
    7523           0 :     is_frozen_proxy = true;
    7524           0 : }
    7525             : 
    7526           0 : alglib::ae_vector_wrapper::ae_vector_wrapper(alglib_impl::ae_datatype datatype)
    7527             : {
    7528             :     jmp_buf _break_jump;
    7529             :     alglib_impl::ae_state _state;
    7530             :     
    7531           0 :     alglib_impl::ae_state_init(&_state);
    7532           0 :     if( setjmp(_break_jump) )
    7533             :     {
    7534             : #if !defined(AE_NO_EXCEPTIONS)
    7535           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7536             : #else
    7537             :         ptr = NULL;
    7538             :         is_frozen_proxy = false;
    7539             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    7540             :         return;
    7541             : #endif
    7542             :     }
    7543           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7544           0 :     ptr = &inner_vec;
    7545           0 :     is_frozen_proxy = false;
    7546           0 :     memset(ptr, 0, sizeof(*ptr));
    7547           0 :     ae_vector_init(ptr, 0, datatype, &_state, ae_false);
    7548           0 :     ae_state_clear(&_state);
    7549           0 : }
    7550             : 
    7551           0 : alglib::ae_vector_wrapper::ae_vector_wrapper(const ae_vector_wrapper &rhs, alglib_impl::ae_datatype datatype)
    7552             : {
    7553             :     jmp_buf _break_jump;
    7554             :     alglib_impl::ae_state _state;
    7555             :     
    7556           0 :     alglib_impl::ae_state_init(&_state);
    7557           0 :     if( setjmp(_break_jump) )
    7558             :     {
    7559             : #if !defined(AE_NO_EXCEPTIONS)
    7560           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7561             : #else
    7562             :         ptr = NULL;
    7563             :         is_frozen_proxy = false;
    7564             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    7565             :         return;
    7566             : #endif
    7567             :     }
    7568           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7569           0 :     alglib_impl::ae_assert(rhs.ptr!=NULL, "ALGLIB: ae_vector_wrapper source is not initialized", &_state);
    7570           0 :     alglib_impl::ae_assert(rhs.ptr->datatype==datatype, "ALGLIB: ae_vector_wrapper datatype check failed", &_state);
    7571           0 :     ptr = &inner_vec;
    7572           0 :     is_frozen_proxy = false;
    7573           0 :     memset(ptr, 0, sizeof(*ptr));
    7574           0 :     ae_vector_init_copy(ptr, rhs.ptr, &_state, ae_false);
    7575           0 :     ae_state_clear(&_state);
    7576           0 : }
    7577             : 
    7578           0 : alglib::ae_vector_wrapper::~ae_vector_wrapper()
    7579             : {
    7580           0 :     if( ptr==&inner_vec )
    7581           0 :         ae_vector_clear(ptr);
    7582           0 : }
    7583             : 
    7584           0 : void alglib::ae_vector_wrapper::setlength(ae_int_t iLen)
    7585             : {   
    7586             :     jmp_buf _break_jump;
    7587             :     alglib_impl::ae_state _state;
    7588           0 :     alglib_impl::ae_state_init(&_state);
    7589           0 :     if( setjmp(_break_jump) )
    7590             :     {
    7591             : #if !defined(AE_NO_EXCEPTIONS)
    7592           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7593             : #else
    7594             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    7595             :         return;
    7596             : #endif
    7597             :     }
    7598           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7599           0 :     alglib_impl::ae_assert(ptr!=NULL, "ALGLIB: setlength() error, ptr==NULL (array was not correctly initialized)", &_state);
    7600           0 :     alglib_impl::ae_assert(!is_frozen_proxy, "ALGLIB: setlength() error, ptr is frozen proxy array", &_state);
    7601           0 :     alglib_impl::ae_vector_set_length(ptr, iLen, &_state);
    7602           0 :     alglib_impl::ae_state_clear(&_state);
    7603           0 : }
    7604             : 
    7605           0 : alglib::ae_int_t alglib::ae_vector_wrapper::length() const
    7606             : {
    7607           0 :     if( ptr==NULL )
    7608           0 :         return 0;
    7609           0 :     return ptr->cnt;
    7610             : }
    7611             : 
    7612           0 : void alglib::ae_vector_wrapper::attach_to(alglib_impl::x_vector *new_ptr, alglib_impl::ae_state *_state)
    7613             : {
    7614           0 :     if( ptr==&inner_vec )
    7615           0 :         ae_vector_clear(ptr);
    7616           0 :     ptr = &inner_vec;
    7617           0 :     memset(ptr, 0, sizeof(*ptr));
    7618           0 :     ae_vector_init_attach_to_x(ptr, new_ptr, _state, ae_false);
    7619           0 :     is_frozen_proxy = true;
    7620           0 : }
    7621             : 
    7622           0 : const alglib::ae_vector_wrapper& alglib::ae_vector_wrapper::assign(const alglib::ae_vector_wrapper &rhs)
    7623             : {
    7624             :     jmp_buf _break_jump;
    7625             :     alglib_impl::ae_state _state;
    7626           0 :     if( this==&rhs )
    7627           0 :         return *this;
    7628           0 :     alglib_impl::ae_state_init(&_state);
    7629           0 :     if( setjmp(_break_jump) )
    7630             :     {
    7631             : #if !defined(AE_NO_EXCEPTIONS)
    7632           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7633             : #else
    7634             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    7635             :         return *this;
    7636             : #endif
    7637             :     }
    7638           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7639           0 :     ae_assert(ptr!=NULL, "ALGLIB: incorrect assignment (uninitialized destination)", &_state);
    7640           0 :     ae_assert(rhs.ptr!=NULL, "ALGLIB: incorrect assignment (uninitialized source)", &_state);
    7641           0 :     ae_assert(rhs.ptr->datatype==ptr->datatype, "ALGLIB: incorrect assignment to array (types do not match)", &_state);
    7642           0 :     if( is_frozen_proxy )
    7643           0 :         ae_assert(rhs.ptr->cnt==ptr->cnt, "ALGLIB: incorrect assignment to proxy array (sizes do not match)", &_state);
    7644           0 :     if( rhs.ptr->cnt!=ptr->cnt )
    7645           0 :         ae_vector_set_length(ptr, rhs.ptr->cnt, &_state);
    7646           0 :     memcpy(ptr->ptr.p_ptr, rhs.ptr->ptr.p_ptr, ptr->cnt*alglib_impl::ae_sizeof(ptr->datatype));
    7647           0 :     alglib_impl::ae_state_clear(&_state);
    7648           0 :     return *this;
    7649             : }
    7650             : 
    7651           0 : const alglib_impl::ae_vector* alglib::ae_vector_wrapper::c_ptr() const
    7652             : {
    7653           0 :     return ptr;
    7654             : }
    7655             : 
    7656           0 : alglib_impl::ae_vector* alglib::ae_vector_wrapper::c_ptr()
    7657             : {
    7658           0 :     return ptr;
    7659             : }
    7660             : 
    7661             : #if !defined(AE_NO_EXCEPTIONS)
    7662           0 : alglib::ae_vector_wrapper::ae_vector_wrapper(const char *s, alglib_impl::ae_datatype datatype)
    7663             : {
    7664           0 :     std::vector<const char*> svec;
    7665             :     size_t i;
    7666           0 :     char *p = filter_spaces(s);
    7667           0 :     if( p==NULL )
    7668           0 :         _ALGLIB_CPP_EXCEPTION("ALGLIB: allocation error");
    7669             :     try
    7670             :     {
    7671           0 :         str_vector_create(p, true, &svec);
    7672             :         {
    7673             :             jmp_buf _break_jump;
    7674             :             alglib_impl::ae_state _state;
    7675           0 :             alglib_impl::ae_state_init(&_state);
    7676           0 :             if( setjmp(_break_jump) )
    7677           0 :                 _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7678           0 :             alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7679           0 :             ptr = &inner_vec;
    7680           0 :             is_frozen_proxy = false;
    7681           0 :             memset(ptr, 0, sizeof(*ptr));
    7682           0 :             ae_vector_init(ptr, (ae_int_t)(svec.size()), datatype, &_state, ae_false);
    7683           0 :             ae_state_clear(&_state);
    7684             :         }
    7685           0 :         for(i=0; i<svec.size(); i++)
    7686             :         {
    7687           0 :             if( datatype==alglib_impl::DT_BOOL )
    7688           0 :                 ptr->ptr.p_bool[i]    = parse_bool_delim(svec[i],",]");
    7689           0 :             if( datatype==alglib_impl::DT_INT )
    7690           0 :                 ptr->ptr.p_int[i]     = parse_int_delim(svec[i],",]");
    7691           0 :             if( datatype==alglib_impl::DT_REAL )
    7692           0 :                 ptr->ptr.p_double[i]  = parse_real_delim(svec[i],",]");
    7693           0 :             if( datatype==alglib_impl::DT_COMPLEX )
    7694             :             {
    7695           0 :                 alglib::complex t = parse_complex_delim(svec[i],",]");
    7696           0 :                 ptr->ptr.p_complex[i].x = t.x;
    7697           0 :                 ptr->ptr.p_complex[i].y = t.y;
    7698             :             }
    7699             :         }
    7700           0 :         alglib_impl::ae_free(p);
    7701             :     }
    7702           0 :     catch(...)
    7703             :     {
    7704           0 :         alglib_impl::ae_free(p);
    7705           0 :         throw;
    7706           0 :     }
    7707           0 : }
    7708             : #endif
    7709             :     
    7710           0 : alglib::boolean_1d_array::boolean_1d_array():ae_vector_wrapper(alglib_impl::DT_BOOL)
    7711             : {
    7712           0 : }
    7713             : 
    7714           0 : alglib::boolean_1d_array::boolean_1d_array(const alglib::boolean_1d_array &rhs):ae_vector_wrapper(rhs,alglib_impl::DT_BOOL)
    7715             : {
    7716           0 : }
    7717             : 
    7718           0 : alglib::boolean_1d_array::boolean_1d_array(alglib_impl::ae_vector *p):ae_vector_wrapper(p,alglib_impl::DT_BOOL)
    7719             : {
    7720           0 : }
    7721             : 
    7722           0 : const alglib::boolean_1d_array& alglib::boolean_1d_array::operator=(const alglib::boolean_1d_array &rhs)
    7723             : {
    7724           0 :     return static_cast<const alglib::boolean_1d_array&>(assign(rhs));
    7725             : }
    7726             : 
    7727           0 : alglib::boolean_1d_array::~boolean_1d_array() 
    7728             : {
    7729           0 : }
    7730             : 
    7731           0 : const ae_bool& alglib::boolean_1d_array::operator()(ae_int_t i) const
    7732             : {
    7733           0 :     return ptr->ptr.p_bool[i];
    7734             : }
    7735             : 
    7736           0 : ae_bool& alglib::boolean_1d_array::operator()(ae_int_t i)
    7737             : {
    7738           0 :     return ptr->ptr.p_bool[i];
    7739             : }
    7740             : 
    7741           0 : const ae_bool& alglib::boolean_1d_array::operator[](ae_int_t i) const
    7742             : {
    7743           0 :     return ptr->ptr.p_bool[i];
    7744             : }
    7745             : 
    7746           0 : ae_bool& alglib::boolean_1d_array::operator[](ae_int_t i)
    7747             : {
    7748           0 :     return ptr->ptr.p_bool[i];
    7749             : }
    7750             : 
    7751           0 : void alglib::boolean_1d_array::setcontent(ae_int_t iLen, const bool *pContent )
    7752             : {
    7753             :     ae_int_t i;
    7754             :     
    7755             :     // setlength, with exception-free error handling fallback code
    7756           0 :     setlength(iLen);
    7757           0 :     if( ptr==NULL || ptr->cnt!=iLen )
    7758           0 :         return;
    7759             :     
    7760             :     // copy
    7761           0 :     for(i=0; i<iLen; i++)
    7762           0 :         ptr->ptr.p_bool[i] = pContent[i];
    7763             : }
    7764             : 
    7765           0 : ae_bool* alglib::boolean_1d_array::getcontent()
    7766             : {
    7767           0 :     return ptr->ptr.p_bool;
    7768             : }
    7769             : 
    7770           0 : const ae_bool* alglib::boolean_1d_array::getcontent() const
    7771             : {
    7772           0 :     return ptr->ptr.p_bool;
    7773             : }
    7774             : 
    7775             : #if !defined(AE_NO_EXCEPTIONS)
    7776           0 : alglib::boolean_1d_array::boolean_1d_array(const char *s):ae_vector_wrapper(s, alglib_impl::DT_BOOL)
    7777             : {
    7778           0 : }
    7779             : 
    7780           0 : std::string alglib::boolean_1d_array::tostring() const 
    7781             : {
    7782           0 :     if( length()==0 )
    7783           0 :         return "[]";
    7784           0 :     return arraytostring(&(operator()(0)), length());
    7785             : }
    7786             : #endif
    7787             : 
    7788           0 : alglib::integer_1d_array::integer_1d_array():ae_vector_wrapper(alglib_impl::DT_INT)
    7789             : {
    7790           0 : }
    7791             : 
    7792           0 : alglib::integer_1d_array::integer_1d_array(alglib_impl::ae_vector *p):ae_vector_wrapper(p,alglib_impl::DT_INT)
    7793             : {
    7794           0 : }
    7795             : 
    7796           0 : alglib::integer_1d_array::integer_1d_array(const alglib::integer_1d_array &rhs):ae_vector_wrapper(rhs,alglib_impl::DT_INT)
    7797             : {
    7798           0 : }
    7799             : 
    7800           0 : const alglib::integer_1d_array& alglib::integer_1d_array::operator=(const alglib::integer_1d_array &rhs)
    7801             : {
    7802           0 :     return static_cast<const alglib::integer_1d_array&>(assign(rhs));
    7803             : }
    7804             : 
    7805           0 : alglib::integer_1d_array::~integer_1d_array() 
    7806             : {
    7807           0 : }
    7808             : 
    7809           0 : const alglib::ae_int_t& alglib::integer_1d_array::operator()(ae_int_t i) const
    7810             : {
    7811           0 :     return ptr->ptr.p_int[i];
    7812             : }
    7813             : 
    7814           0 : alglib::ae_int_t& alglib::integer_1d_array::operator()(ae_int_t i)
    7815             : {
    7816           0 :     return ptr->ptr.p_int[i];
    7817             : }
    7818             : 
    7819           0 : const alglib::ae_int_t& alglib::integer_1d_array::operator[](ae_int_t i) const
    7820             : {
    7821           0 :     return ptr->ptr.p_int[i];
    7822             : }
    7823             : 
    7824           0 : alglib::ae_int_t& alglib::integer_1d_array::operator[](ae_int_t i)
    7825             : {
    7826           0 :     return ptr->ptr.p_int[i];
    7827             : }
    7828             : 
    7829           0 : void alglib::integer_1d_array::setcontent(ae_int_t iLen, const ae_int_t *pContent )
    7830             : {
    7831             :     ae_int_t i;
    7832             :     
    7833             :     // setlength(), handle possible exception-free errors
    7834           0 :     setlength(iLen);
    7835           0 :     if( ptr==NULL || ptr->cnt!=iLen )
    7836           0 :         return;
    7837             :     
    7838             :     // copy
    7839           0 :     for(i=0; i<iLen; i++)
    7840           0 :         ptr->ptr.p_int[i] = pContent[i];
    7841             : }
    7842             : 
    7843           0 : alglib::ae_int_t* alglib::integer_1d_array::getcontent()
    7844             : {
    7845           0 :     return ptr->ptr.p_int;
    7846             : }
    7847             : 
    7848           0 : const alglib::ae_int_t* alglib::integer_1d_array::getcontent() const
    7849             : {
    7850           0 :     return ptr->ptr.p_int;
    7851             : }
    7852             : 
    7853             : #if !defined(AE_NO_EXCEPTIONS)
    7854           0 : alglib::integer_1d_array::integer_1d_array(const char *s):ae_vector_wrapper(s, alglib_impl::DT_INT)
    7855             : {
    7856           0 : }
    7857             : 
    7858           0 : std::string alglib::integer_1d_array::tostring() const 
    7859             : {
    7860           0 :     if( length()==0 )
    7861           0 :         return "[]";
    7862           0 :     return arraytostring(&operator()(0), length());
    7863             : }
    7864             : #endif
    7865             : 
    7866           0 : alglib::real_1d_array::real_1d_array():ae_vector_wrapper(alglib_impl::DT_REAL)
    7867             : {
    7868           0 : }
    7869             : 
    7870           0 : alglib::real_1d_array::real_1d_array(alglib_impl::ae_vector *p):ae_vector_wrapper(p,alglib_impl::DT_REAL)
    7871             : {
    7872           0 : }
    7873             : 
    7874           0 : alglib::real_1d_array::real_1d_array(const alglib::real_1d_array &rhs):ae_vector_wrapper(rhs,alglib_impl::DT_REAL)
    7875             : {
    7876           0 : }
    7877             : 
    7878           0 : const alglib::real_1d_array& alglib::real_1d_array::operator=(const alglib::real_1d_array &rhs)
    7879             : {
    7880           0 :     return static_cast<const alglib::real_1d_array&>(assign(rhs));
    7881             : }
    7882             : 
    7883           0 : alglib::real_1d_array::~real_1d_array() 
    7884             : {
    7885           0 : }
    7886             : 
    7887           0 : const double& alglib::real_1d_array::operator()(ae_int_t i) const
    7888             : {
    7889           0 :     return ptr->ptr.p_double[i];
    7890             : }
    7891             : 
    7892           0 : double& alglib::real_1d_array::operator()(ae_int_t i)
    7893             : {
    7894           0 :     return ptr->ptr.p_double[i];
    7895             : }
    7896             : 
    7897           0 : const double& alglib::real_1d_array::operator[](ae_int_t i) const
    7898             : {
    7899           0 :     return ptr->ptr.p_double[i];
    7900             : }
    7901             : 
    7902           0 : double& alglib::real_1d_array::operator[](ae_int_t i)
    7903             : {
    7904           0 :     return ptr->ptr.p_double[i];
    7905             : }
    7906             : 
    7907           0 : void alglib::real_1d_array::setcontent(ae_int_t iLen, const double *pContent )
    7908             : {
    7909             :     ae_int_t i;
    7910             :     
    7911             :     // setlength(), handle possible exception-free errors
    7912           0 :     setlength(iLen);
    7913           0 :     if( ptr==NULL || ptr->cnt!=iLen )
    7914           0 :         return;
    7915             :     
    7916             :     // copy
    7917           0 :     for(i=0; i<iLen; i++)
    7918           0 :         ptr->ptr.p_double[i] = pContent[i];
    7919             : }
    7920             : 
    7921           0 : void alglib::real_1d_array::attach_to_ptr(ae_int_t iLen, double *pContent ) // TODO: convert to constructor!!!!!!!
    7922             : {
    7923             :     alglib_impl::x_vector x;
    7924             :     jmp_buf _break_jump;
    7925             :     alglib_impl::ae_state _state;
    7926             :     
    7927           0 :     alglib_impl::ae_state_init(&_state);
    7928           0 :     if( setjmp(_break_jump) )
    7929             :     {
    7930             : #if !defined(AE_NO_EXCEPTIONS)
    7931           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    7932             : #else
    7933             :         ptr = NULL;
    7934             :         is_frozen_proxy = false;
    7935             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    7936             :         return;
    7937             : #endif
    7938             :     }
    7939           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    7940           0 :     alglib_impl::ae_assert(!is_frozen_proxy, "ALGLIB: unable to attach proxy object to something else", &_state);
    7941           0 :     alglib_impl::ae_assert(iLen>0, "ALGLIB: non-positive length for attach_to_ptr()", &_state);
    7942           0 :     x.cnt = iLen;
    7943           0 :     x.datatype = alglib_impl::DT_REAL;
    7944           0 :     x.owner = alglib_impl::OWN_CALLER;
    7945           0 :     x.last_action = alglib_impl::ACT_UNCHANGED;
    7946           0 :     x.x_ptr.p_ptr = pContent;
    7947           0 :     attach_to(&x, &_state);
    7948           0 :     ae_state_clear(&_state);
    7949           0 : }
    7950             : 
    7951           0 : double* alglib::real_1d_array::getcontent()
    7952             : {
    7953           0 :     return ptr->ptr.p_double;
    7954             : }
    7955             : 
    7956           0 : const double* alglib::real_1d_array::getcontent() const
    7957             : {
    7958           0 :     return ptr->ptr.p_double;
    7959             : }
    7960             : 
    7961             : #if !defined(AE_NO_EXCEPTIONS)
    7962           0 : alglib::real_1d_array::real_1d_array(const char *s):ae_vector_wrapper(s, alglib_impl::DT_REAL)
    7963             : {
    7964           0 : }
    7965             : 
    7966           0 : std::string alglib::real_1d_array::tostring(int dps) const 
    7967             : {
    7968           0 :     if( length()==0 )
    7969           0 :         return "[]";
    7970           0 :     return arraytostring(&operator()(0), length(), dps);
    7971             : }
    7972             : #endif
    7973             : 
    7974           0 : alglib::complex_1d_array::complex_1d_array():ae_vector_wrapper(alglib_impl::DT_COMPLEX)
    7975             : {
    7976           0 : }
    7977             : 
    7978           0 : alglib::complex_1d_array::complex_1d_array(alglib_impl::ae_vector *p):ae_vector_wrapper(p,alglib_impl::DT_COMPLEX)
    7979             : {
    7980           0 : }
    7981             : 
    7982           0 : alglib::complex_1d_array::complex_1d_array(const alglib::complex_1d_array &rhs):ae_vector_wrapper(rhs,alglib_impl::DT_COMPLEX)
    7983             : {
    7984           0 : }
    7985             : 
    7986           0 : const alglib::complex_1d_array& alglib::complex_1d_array::operator=(const alglib::complex_1d_array &rhs)
    7987             : {
    7988           0 :     return static_cast<const alglib::complex_1d_array&>(assign(rhs));
    7989             : }
    7990             : 
    7991           0 : alglib::complex_1d_array::~complex_1d_array() 
    7992             : {
    7993           0 : }
    7994             : 
    7995           0 : const alglib::complex& alglib::complex_1d_array::operator()(ae_int_t i) const
    7996             : {
    7997           0 :     return *((const alglib::complex*)(ptr->ptr.p_complex+i));
    7998             : }
    7999             : 
    8000           0 : alglib::complex& alglib::complex_1d_array::operator()(ae_int_t i)
    8001             : {
    8002           0 :     return *((alglib::complex*)(ptr->ptr.p_complex+i));
    8003             : }
    8004             : 
    8005           0 : const alglib::complex& alglib::complex_1d_array::operator[](ae_int_t i) const
    8006             : {
    8007           0 :     return *((const alglib::complex*)(ptr->ptr.p_complex+i));
    8008             : }
    8009             : 
    8010           0 : alglib::complex& alglib::complex_1d_array::operator[](ae_int_t i)
    8011             : {
    8012           0 :     return *((alglib::complex*)(ptr->ptr.p_complex+i));
    8013             : }
    8014             : 
    8015           0 : void alglib::complex_1d_array::setcontent(ae_int_t iLen, const alglib::complex *pContent )
    8016             : {
    8017             :     ae_int_t i;
    8018             :     
    8019             :     // setlength(), handle possible exception-free errors
    8020           0 :     setlength(iLen);
    8021           0 :     if( ptr==NULL || ptr->cnt!=iLen  )
    8022           0 :         return;
    8023             :     
    8024             :     // copy
    8025           0 :     for(i=0; i<iLen; i++)
    8026             :     {
    8027           0 :         ptr->ptr.p_complex[i].x = pContent[i].x;
    8028           0 :         ptr->ptr.p_complex[i].y = pContent[i].y;
    8029             :     }
    8030             : }
    8031             : 
    8032           0 :  alglib::complex* alglib::complex_1d_array::getcontent()
    8033             : {
    8034           0 :     return (alglib::complex*)ptr->ptr.p_complex;
    8035             : }
    8036             : 
    8037           0 : const alglib::complex* alglib::complex_1d_array::getcontent() const
    8038             : {
    8039           0 :     return (const alglib::complex*)ptr->ptr.p_complex;
    8040             : }
    8041             : 
    8042             : #if !defined(AE_NO_EXCEPTIONS)
    8043           0 : alglib::complex_1d_array::complex_1d_array(const char *s):ae_vector_wrapper(s, alglib_impl::DT_COMPLEX)
    8044             : {
    8045           0 : }
    8046             : 
    8047           0 : std::string alglib::complex_1d_array::tostring(int dps) const 
    8048             : {
    8049           0 :     if( length()==0 )
    8050           0 :         return "[]";
    8051           0 :     return arraytostring(&operator()(0), length(), dps);
    8052             : }
    8053             : #endif
    8054             : 
    8055           0 : alglib::ae_matrix_wrapper::ae_matrix_wrapper(alglib_impl::ae_matrix *e_ptr, alglib_impl::ae_datatype datatype)
    8056             : {
    8057           0 :     if( e_ptr->datatype!=datatype )
    8058             :     {
    8059           0 :         const char *msg = "ALGLIB: ae_vector_wrapper datatype check failed";
    8060             : #if !defined(AE_NO_EXCEPTIONS)
    8061           0 :         _ALGLIB_CPP_EXCEPTION(msg);
    8062             : #else
    8063             :         ptr = NULL;
    8064             :         is_frozen_proxy = false;
    8065             :         _ALGLIB_SET_ERROR_FLAG(msg);
    8066             :         return;
    8067             : #endif
    8068             :     }
    8069           0 :     ptr = e_ptr;
    8070           0 :     is_frozen_proxy = true;
    8071           0 : }
    8072             : 
    8073           0 : alglib::ae_matrix_wrapper::ae_matrix_wrapper(alglib_impl::ae_datatype datatype)
    8074             : {
    8075             :     jmp_buf _break_jump;
    8076             :     alglib_impl::ae_state _state;
    8077             :     
    8078           0 :     alglib_impl::ae_state_init(&_state);
    8079           0 :     if( setjmp(_break_jump) )
    8080             :     {
    8081             : #if !defined(AE_NO_EXCEPTIONS)
    8082           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8083             : #else
    8084             :         ptr = NULL;
    8085             :         is_frozen_proxy = false;
    8086             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    8087             :         return;
    8088             : #endif
    8089             :     }
    8090           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8091           0 :     ptr = &inner_mat;
    8092           0 :     is_frozen_proxy = false;
    8093           0 :     memset(ptr, 0, sizeof(*ptr));
    8094           0 :     ae_matrix_init(ptr, 0, 0, datatype, &_state, ae_false);
    8095           0 :     ae_state_clear(&_state);
    8096             :     
    8097           0 : }
    8098             : 
    8099           0 : alglib::ae_matrix_wrapper::ae_matrix_wrapper(const ae_matrix_wrapper &rhs, alglib_impl::ae_datatype datatype)
    8100             : {
    8101             :     jmp_buf _break_jump;
    8102             :     alglib_impl::ae_state _state;
    8103             :     
    8104           0 :     alglib_impl::ae_state_init(&_state);
    8105           0 :     if( setjmp(_break_jump) )
    8106             :     {
    8107             : #if !defined(AE_NO_EXCEPTIONS)
    8108           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8109             : #else
    8110             :         ptr = NULL;
    8111             :         is_frozen_proxy = false;
    8112             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    8113             :         return;
    8114             : #endif
    8115             :     }
    8116           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8117           0 :     is_frozen_proxy = false;
    8118           0 :     ptr = NULL;
    8119           0 :     alglib_impl::ae_assert(rhs.ptr->datatype==datatype, "ALGLIB: ae_matrix_wrapper datatype check failed", &_state);
    8120           0 :     if( rhs.ptr!=NULL )
    8121             :     {
    8122           0 :         ptr = &inner_mat;
    8123           0 :         memset(ptr, 0, sizeof(*ptr));
    8124           0 :         ae_matrix_init_copy(ptr, rhs.ptr, &_state, ae_false);
    8125             :     }
    8126           0 :     ae_state_clear(&_state);
    8127           0 : }
    8128             : 
    8129           0 : alglib::ae_matrix_wrapper::~ae_matrix_wrapper()
    8130             : {
    8131           0 :     if( ptr==&inner_mat )
    8132           0 :         ae_matrix_clear(ptr);
    8133           0 : }
    8134             : 
    8135             : #if !defined(AE_NO_EXCEPTIONS)
    8136           0 : alglib::ae_matrix_wrapper::ae_matrix_wrapper(const char *s, alglib_impl::ae_datatype datatype)
    8137             : {
    8138           0 :     std::vector< std::vector<const char*> > smat;
    8139             :     size_t i, j;
    8140           0 :     char *p = filter_spaces(s);
    8141           0 :     if( p==NULL )
    8142           0 :         _ALGLIB_CPP_EXCEPTION("ALGLIB: allocation error");
    8143             :     try
    8144             :     {
    8145           0 :         str_matrix_create(p, &smat);
    8146             :         {
    8147             :             jmp_buf _break_jump;
    8148             :             alglib_impl::ae_state _state;
    8149           0 :             alglib_impl::ae_state_init(&_state);
    8150           0 :             if( setjmp(_break_jump) )
    8151           0 :                 _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8152           0 :             alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8153           0 :             ptr = &inner_mat;
    8154           0 :             is_frozen_proxy = false;
    8155           0 :             memset(ptr, 0, sizeof(*ptr));
    8156           0 :             if( smat.size()!=0 )
    8157           0 :                 ae_matrix_init(ptr, (ae_int_t)(smat.size()), (ae_int_t)(smat[0].size()), datatype, &_state, ae_false);
    8158             :             else
    8159           0 :                 ae_matrix_init(ptr, 0, 0, datatype, &_state, ae_false);
    8160           0 :             ae_state_clear(&_state);
    8161             :         }
    8162           0 :         for(i=0; i<smat.size(); i++)
    8163           0 :             for(j=0; j<smat[0].size(); j++)
    8164             :             {
    8165           0 :                 if( datatype==alglib_impl::DT_BOOL )
    8166           0 :                     ptr->ptr.pp_bool[i][j]    = parse_bool_delim(smat[i][j],",]");
    8167           0 :                 if( datatype==alglib_impl::DT_INT )
    8168           0 :                     ptr->ptr.pp_int[i][j]     = parse_int_delim(smat[i][j],",]");
    8169           0 :                 if( datatype==alglib_impl::DT_REAL )
    8170           0 :                     ptr->ptr.pp_double[i][j]  = parse_real_delim(smat[i][j],",]");
    8171           0 :                 if( datatype==alglib_impl::DT_COMPLEX )
    8172             :                 {
    8173           0 :                     alglib::complex t = parse_complex_delim(smat[i][j],",]");
    8174           0 :                     ptr->ptr.pp_complex[i][j].x = t.x;
    8175           0 :                     ptr->ptr.pp_complex[i][j].y = t.y;
    8176             :                 }
    8177             :             }
    8178           0 :         alglib_impl::ae_free(p);
    8179             :     }
    8180           0 :     catch(...)
    8181             :     {
    8182           0 :         alglib_impl::ae_free(p);
    8183           0 :         throw;
    8184           0 :     }
    8185           0 : }
    8186             : #endif
    8187             : 
    8188           0 : void alglib::ae_matrix_wrapper::setlength(ae_int_t rows, ae_int_t cols) // TODO: automatic allocation of NULL ptr!!!!!
    8189             : {   
    8190             :     jmp_buf _break_jump;
    8191             :     alglib_impl::ae_state _state;
    8192           0 :     alglib_impl::ae_state_init(&_state);
    8193           0 :     if( setjmp(_break_jump) )
    8194             :     {
    8195             : #if !defined(AE_NO_EXCEPTIONS)
    8196           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8197             : #else
    8198             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    8199             :         return;
    8200             : #endif
    8201             :     }
    8202           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8203           0 :     alglib_impl::ae_assert(ptr!=NULL, "ALGLIB: setlength() error, p_mat==NULL (array was not correctly initialized)", &_state);
    8204           0 :     alglib_impl::ae_assert(!is_frozen_proxy, "ALGLIB: setlength() error, attempt to resize proxy array", &_state);
    8205           0 :     alglib_impl::ae_matrix_set_length(ptr, rows, cols, &_state);
    8206           0 :     alglib_impl::ae_state_clear(&_state);
    8207           0 : }
    8208             : 
    8209           0 : alglib::ae_int_t alglib::ae_matrix_wrapper::rows() const
    8210             : {
    8211           0 :     if( ptr==NULL )
    8212           0 :         return 0;
    8213           0 :     return ptr->rows;
    8214             : }
    8215             : 
    8216           0 : alglib::ae_int_t alglib::ae_matrix_wrapper::cols() const
    8217             : {
    8218           0 :     if( ptr==NULL )
    8219           0 :         return 0;
    8220           0 :     return ptr->cols;
    8221             : }
    8222             : 
    8223           0 : bool alglib::ae_matrix_wrapper::isempty() const
    8224             : {
    8225           0 :     return rows()==0 || cols()==0;
    8226             : }
    8227             : 
    8228           0 : alglib::ae_int_t alglib::ae_matrix_wrapper::getstride() const
    8229             : {
    8230           0 :     if( ptr==NULL )
    8231           0 :         return 0;
    8232           0 :     return ptr->stride;
    8233             : }
    8234             : 
    8235           0 : void alglib::ae_matrix_wrapper::attach_to(alglib_impl::x_matrix *new_ptr, alglib_impl::ae_state *_state)
    8236             : {
    8237           0 :     if( ptr==&inner_mat )
    8238           0 :         ae_matrix_clear(ptr);
    8239           0 :     ptr = &inner_mat;
    8240           0 :     memset(ptr, 0, sizeof(*ptr));
    8241           0 :     ae_matrix_init_attach_to_x(ptr, new_ptr, _state, ae_false);
    8242           0 :     is_frozen_proxy = true;
    8243           0 : }
    8244             :     
    8245           0 : const alglib::ae_matrix_wrapper& alglib::ae_matrix_wrapper::assign(const alglib::ae_matrix_wrapper &rhs)
    8246             : {
    8247             :     ae_int_t i;
    8248             :     jmp_buf _break_jump;
    8249             :     alglib_impl::ae_state _state;
    8250           0 :     if( this==&rhs )
    8251           0 :         return *this;
    8252           0 :     alglib_impl::ae_state_init(&_state);
    8253           0 :     if( setjmp(_break_jump) )
    8254             :     {
    8255             : #if !defined(AE_NO_EXCEPTIONS)
    8256           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8257             : #else
    8258             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    8259             :         return *this;
    8260             : #endif
    8261             :     }
    8262           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8263           0 :     ae_assert(ptr!=NULL, "ALGLIB: incorrect assignment to matrix (uninitialized destination)", &_state);
    8264           0 :     ae_assert(rhs.ptr!=NULL, "ALGLIB: incorrect assignment to array (uninitialized source)", &_state);
    8265           0 :     ae_assert(rhs.ptr->datatype==ptr->datatype, "ALGLIB: incorrect assignment to array (types dont match)", &_state);
    8266           0 :     if( is_frozen_proxy )
    8267             :     {
    8268           0 :         ae_assert(rhs.ptr->rows==ptr->rows, "ALGLIB: incorrect assignment to proxy array (sizes dont match)", &_state);
    8269           0 :         ae_assert(rhs.ptr->cols==ptr->cols, "ALGLIB: incorrect assignment to proxy array (sizes dont match)", &_state);
    8270             :     }
    8271           0 :     if( (rhs.ptr->rows!=ptr->rows) || (rhs.ptr->cols!=ptr->cols) )
    8272           0 :         ae_matrix_set_length(ptr, rhs.ptr->rows, rhs.ptr->cols, &_state);
    8273           0 :     for(i=0; i<ptr->rows; i++)
    8274           0 :         memcpy(ptr->ptr.pp_void[i], rhs.ptr->ptr.pp_void[i], ptr->cols*alglib_impl::ae_sizeof(ptr->datatype));
    8275           0 :     alglib_impl::ae_state_clear(&_state);
    8276           0 :     return *this;
    8277             : }
    8278             : 
    8279           0 : const alglib_impl::ae_matrix* alglib::ae_matrix_wrapper::c_ptr() const
    8280             : {
    8281           0 :     return ptr;
    8282             : }
    8283             : 
    8284           0 : alglib_impl::ae_matrix* alglib::ae_matrix_wrapper::c_ptr()
    8285             : {
    8286           0 :     return ptr;
    8287             : }
    8288             : 
    8289           0 : alglib::boolean_2d_array::boolean_2d_array():ae_matrix_wrapper(alglib_impl::DT_BOOL)
    8290             : {
    8291           0 : }
    8292             : 
    8293           0 : alglib::boolean_2d_array::boolean_2d_array(const alglib::boolean_2d_array &rhs):ae_matrix_wrapper(rhs,alglib_impl::DT_BOOL)
    8294             : {
    8295           0 : }
    8296             : 
    8297           0 : alglib::boolean_2d_array::boolean_2d_array(alglib_impl::ae_matrix *p):ae_matrix_wrapper(p,alglib_impl::DT_BOOL)
    8298             : {
    8299           0 : }
    8300             : 
    8301           0 : alglib::boolean_2d_array::~boolean_2d_array() 
    8302             : {
    8303           0 : }
    8304             : 
    8305           0 : const alglib::boolean_2d_array& alglib::boolean_2d_array::operator=(const alglib::boolean_2d_array &rhs)
    8306             : {
    8307           0 :     return static_cast<const boolean_2d_array&>(assign(rhs));
    8308             : }
    8309             : 
    8310           0 : const ae_bool& alglib::boolean_2d_array::operator()(ae_int_t i, ae_int_t j) const
    8311             : {
    8312           0 :     return ptr->ptr.pp_bool[i][j];
    8313             : }
    8314             : 
    8315           0 : ae_bool& alglib::boolean_2d_array::operator()(ae_int_t i, ae_int_t j)
    8316             : {
    8317           0 :     return ptr->ptr.pp_bool[i][j];
    8318             : }
    8319             : 
    8320           0 : const ae_bool* alglib::boolean_2d_array::operator[](ae_int_t i) const
    8321             : {
    8322           0 :     return ptr->ptr.pp_bool[i];
    8323             : }
    8324             : 
    8325           0 : ae_bool* alglib::boolean_2d_array::operator[](ae_int_t i)
    8326             : {
    8327           0 :     return ptr->ptr.pp_bool[i];
    8328             : }
    8329             : 
    8330           0 : void alglib::boolean_2d_array::setcontent(ae_int_t irows, ae_int_t icols, const bool *pContent )
    8331             : {
    8332             :     ae_int_t i, j;
    8333             :     
    8334             :     // setlength(), handle possible exception-free errors
    8335           0 :     setlength(irows, icols);
    8336           0 :     if( ptr==NULL || ptr->rows!=irows || ptr->cols!=icols )
    8337           0 :         return;
    8338             :     
    8339             :     // copy
    8340           0 :     for(i=0; i<irows; i++)
    8341           0 :         for(j=0; j<icols; j++)
    8342           0 :             ptr->ptr.pp_bool[i][j] = pContent[i*icols+j];
    8343             : }
    8344             :     
    8345             : #if !defined(AE_NO_EXCEPTIONS)
    8346           0 : alglib::boolean_2d_array::boolean_2d_array(const char *s):ae_matrix_wrapper(s, alglib_impl::DT_BOOL)
    8347             : {
    8348           0 : }
    8349             : 
    8350           0 : std::string alglib::boolean_2d_array::tostring() const 
    8351             : {
    8352           0 :     std::string result;
    8353             :     ae_int_t i;
    8354           0 :     if( isempty() )
    8355           0 :         return "[[]]";
    8356           0 :     result = "[";
    8357           0 :     for(i=0; i<rows(); i++)
    8358             :     {
    8359           0 :         if( i!=0 )
    8360           0 :             result += ",";
    8361           0 :         result += arraytostring(&operator()(i,0), cols());
    8362             :     }
    8363           0 :     result += "]";
    8364           0 :     return result;
    8365           0 : }
    8366             : #endif
    8367             : 
    8368           0 : alglib::integer_2d_array::integer_2d_array():ae_matrix_wrapper(alglib_impl::DT_INT)
    8369             : {
    8370           0 : }
    8371             : 
    8372           0 : alglib::integer_2d_array::integer_2d_array(const alglib::integer_2d_array &rhs):ae_matrix_wrapper(rhs,alglib_impl::DT_INT)
    8373             : {
    8374           0 : }
    8375             : 
    8376           0 : alglib::integer_2d_array::integer_2d_array(alglib_impl::ae_matrix *p):ae_matrix_wrapper(p,alglib_impl::DT_INT)
    8377             : {
    8378           0 : }
    8379             : 
    8380           0 : alglib::integer_2d_array::~integer_2d_array() 
    8381             : {
    8382           0 : }
    8383             : 
    8384           0 : const alglib::integer_2d_array& alglib::integer_2d_array::operator=(const alglib::integer_2d_array &rhs)
    8385             : {
    8386           0 :     return static_cast<const integer_2d_array&>(assign(rhs));
    8387             : }
    8388             : 
    8389           0 : const alglib::ae_int_t& alglib::integer_2d_array::operator()(ae_int_t i, ae_int_t j) const
    8390             : {
    8391           0 :     return ptr->ptr.pp_int[i][j];
    8392             : }
    8393             : 
    8394           0 : alglib::ae_int_t& alglib::integer_2d_array::operator()(ae_int_t i, ae_int_t j)
    8395             : {
    8396           0 :     return ptr->ptr.pp_int[i][j];
    8397             : }
    8398             : 
    8399           0 : const alglib::ae_int_t* alglib::integer_2d_array::operator[](ae_int_t i) const
    8400             : {
    8401           0 :     return ptr->ptr.pp_int[i];
    8402             : }
    8403             : 
    8404           0 : alglib::ae_int_t* alglib::integer_2d_array::operator[](ae_int_t i)
    8405             : {
    8406           0 :     return ptr->ptr.pp_int[i];
    8407             : }
    8408             : 
    8409           0 : void alglib::integer_2d_array::setcontent(ae_int_t irows, ae_int_t icols, const ae_int_t *pContent )
    8410             : {
    8411             :     ae_int_t i, j;
    8412             :     
    8413             :     // setlength(), handle possible exception-free errors
    8414           0 :     setlength(irows, icols);
    8415           0 :     if( ptr==NULL || ptr->rows!=irows || ptr->cols!=icols )
    8416           0 :         return;
    8417             :     
    8418             :     // copy
    8419           0 :     for(i=0; i<irows; i++)
    8420           0 :         for(j=0; j<icols; j++)
    8421           0 :             ptr->ptr.pp_int[i][j] = pContent[i*icols+j];
    8422             : }
    8423             : 
    8424             : #if !defined(AE_NO_EXCEPTIONS)
    8425           0 : alglib::integer_2d_array::integer_2d_array(const char *s):ae_matrix_wrapper(s, alglib_impl::DT_INT)
    8426             : {
    8427           0 : }
    8428             : 
    8429           0 : std::string alglib::integer_2d_array::tostring() const 
    8430             : {
    8431           0 :     std::string result;
    8432             :     ae_int_t i;
    8433           0 :     if( isempty() )
    8434           0 :         return "[[]]";
    8435           0 :     result = "[";
    8436           0 :     for(i=0; i<rows(); i++)
    8437             :     {
    8438           0 :         if( i!=0 )
    8439           0 :             result += ",";
    8440           0 :         result += arraytostring(&operator()(i,0), cols());
    8441             :     }
    8442           0 :     result += "]";
    8443           0 :     return result;
    8444           0 : }
    8445             : #endif
    8446             : 
    8447           0 : alglib::real_2d_array::real_2d_array():ae_matrix_wrapper(alglib_impl::DT_REAL)
    8448             : {
    8449           0 : }
    8450             : 
    8451           0 : alglib::real_2d_array::real_2d_array(const alglib::real_2d_array &rhs):ae_matrix_wrapper(rhs,alglib_impl::DT_REAL)
    8452             : {
    8453           0 : }
    8454             : 
    8455           0 : alglib::real_2d_array::real_2d_array(alglib_impl::ae_matrix *p):ae_matrix_wrapper(p,alglib_impl::DT_REAL)
    8456             : {
    8457           0 : }
    8458             : 
    8459           0 : alglib::real_2d_array::~real_2d_array() 
    8460             : {
    8461           0 : }
    8462             : 
    8463           0 : const alglib::real_2d_array& alglib::real_2d_array::operator=(const alglib::real_2d_array &rhs)
    8464             : {
    8465           0 :     return static_cast<const real_2d_array&>(assign(rhs));
    8466             : }
    8467             : 
    8468           0 : const double& alglib::real_2d_array::operator()(ae_int_t i, ae_int_t j) const
    8469             : {
    8470           0 :     return ptr->ptr.pp_double[i][j];
    8471             : }
    8472             : 
    8473           0 : double& alglib::real_2d_array::operator()(ae_int_t i, ae_int_t j)
    8474             : {
    8475           0 :     return ptr->ptr.pp_double[i][j];
    8476             : }
    8477             : 
    8478           0 : const double* alglib::real_2d_array::operator[](ae_int_t i) const
    8479             : {
    8480           0 :     return ptr->ptr.pp_double[i];
    8481             : }
    8482             : 
    8483           0 : double* alglib::real_2d_array::operator[](ae_int_t i)
    8484             : {
    8485           0 :     return ptr->ptr.pp_double[i];
    8486             : }
    8487             : 
    8488           0 : void alglib::real_2d_array::setcontent(ae_int_t irows, ae_int_t icols, const double *pContent )
    8489             : {
    8490             :     ae_int_t i, j;
    8491             :     
    8492             :     // setlength(), handle possible exception-free errors
    8493           0 :     setlength(irows, icols);
    8494           0 :     if( ptr==NULL || ptr->rows!=irows || ptr->cols!=icols )
    8495           0 :         return;
    8496             :     
    8497             :     // copy
    8498           0 :     for(i=0; i<irows; i++)
    8499           0 :         for(j=0; j<icols; j++)
    8500           0 :             ptr->ptr.pp_double[i][j] = pContent[i*icols+j];
    8501             : }
    8502             : 
    8503           0 : void alglib::real_2d_array::attach_to_ptr(ae_int_t irows, ae_int_t icols, double *pContent )
    8504             : {
    8505             :     jmp_buf _break_jump;
    8506             :     alglib_impl::ae_state _state;
    8507             :     alglib_impl::x_matrix x;
    8508           0 :     alglib_impl::ae_state_init(&_state);
    8509           0 :     if( setjmp(_break_jump) )
    8510             :     {
    8511             : #if !defined(AE_NO_EXCEPTIONS)
    8512           0 :         _ALGLIB_CPP_EXCEPTION(_state.error_msg);
    8513             : #else
    8514             :         ptr = NULL;
    8515             :         is_frozen_proxy = false;
    8516             :         _ALGLIB_SET_ERROR_FLAG(_state.error_msg);
    8517             :         return;
    8518             : #endif
    8519             :     }
    8520           0 :     alglib_impl::ae_state_set_break_jump(&_state, &_break_jump);
    8521           0 :     alglib_impl::ae_assert(!is_frozen_proxy, "ALGLIB: unable to attach proxy object to something else", &_state);
    8522           0 :     alglib_impl::ae_assert(irows>0&&icols>0, "ALGLIB: non-positive length for attach_to_ptr()", &_state);
    8523           0 :     x.rows = irows;
    8524           0 :     x.cols = icols;
    8525           0 :     x.stride = icols;
    8526           0 :     x.datatype = alglib_impl::DT_REAL;
    8527           0 :     x.owner = alglib_impl::OWN_CALLER;
    8528           0 :     x.last_action = alglib_impl::ACT_UNCHANGED;
    8529           0 :     x.x_ptr.p_ptr = pContent;
    8530           0 :     attach_to(&x, &_state);
    8531           0 :     ae_state_clear(&_state);
    8532           0 : }
    8533             : 
    8534             : #if !defined(AE_NO_EXCEPTIONS)
    8535           0 : alglib::real_2d_array::real_2d_array(const char *s):ae_matrix_wrapper(s, alglib_impl::DT_REAL)
    8536             : {
    8537           0 : }
    8538             : 
    8539           0 : std::string alglib::real_2d_array::tostring(int dps) const 
    8540             : {
    8541           0 :     std::string result;
    8542             :     ae_int_t i;
    8543           0 :     if( isempty() )
    8544           0 :         return "[[]]";
    8545           0 :     result = "[";
    8546           0 :     for(i=0; i<rows(); i++)
    8547             :     {
    8548           0 :         if( i!=0 )
    8549           0 :             result += ",";
    8550           0 :         result += arraytostring(&operator()(i,0), cols(), dps);
    8551             :     }
    8552           0 :     result += "]";
    8553           0 :     return result;
    8554           0 : }
    8555             : #endif
    8556             : 
    8557           0 : alglib::complex_2d_array::complex_2d_array():ae_matrix_wrapper(alglib_impl::DT_COMPLEX)
    8558             : {
    8559           0 : }
    8560             : 
    8561           0 : alglib::complex_2d_array::complex_2d_array(const alglib::complex_2d_array &rhs):ae_matrix_wrapper(rhs,alglib_impl::DT_COMPLEX)
    8562             : {
    8563           0 : }
    8564             : 
    8565           0 : alglib::complex_2d_array::complex_2d_array(alglib_impl::ae_matrix *p):ae_matrix_wrapper(p,alglib_impl::DT_COMPLEX)
    8566             : {
    8567           0 : }
    8568             : 
    8569           0 : alglib::complex_2d_array::~complex_2d_array() 
    8570             : {
    8571           0 : }
    8572             : 
    8573           0 : const alglib::complex_2d_array& alglib::complex_2d_array::operator=(const alglib::complex_2d_array &rhs)
    8574             : {
    8575           0 :     return static_cast<const complex_2d_array&>(assign(rhs));
    8576             : }
    8577             : 
    8578           0 : const alglib::complex& alglib::complex_2d_array::operator()(ae_int_t i, ae_int_t j) const
    8579             : {
    8580           0 :     return *((const alglib::complex*)(ptr->ptr.pp_complex[i]+j));
    8581             : }
    8582             : 
    8583           0 : alglib::complex& alglib::complex_2d_array::operator()(ae_int_t i, ae_int_t j)
    8584             : {
    8585           0 :     return *((alglib::complex*)(ptr->ptr.pp_complex[i]+j));
    8586             : }
    8587             : 
    8588           0 : const alglib::complex* alglib::complex_2d_array::operator[](ae_int_t i) const
    8589             : {
    8590           0 :     return (const alglib::complex*)(ptr->ptr.pp_complex[i]);
    8591             : }
    8592             : 
    8593           0 : alglib::complex* alglib::complex_2d_array::operator[](ae_int_t i)
    8594             : {
    8595           0 :     return (alglib::complex*)(ptr->ptr.pp_complex[i]);
    8596             : }
    8597             : 
    8598           0 : void alglib::complex_2d_array::setcontent(ae_int_t irows, ae_int_t icols, const alglib::complex *pContent )
    8599             : {
    8600             :     ae_int_t i, j;
    8601             :     
    8602             :     // setlength(), handle possible exception-free errors
    8603           0 :     setlength(irows, icols);
    8604           0 :     if( ptr==NULL || ptr->rows!=irows || ptr->cols!=icols )
    8605           0 :         return;
    8606             :     
    8607             :     // copy
    8608           0 :     for(i=0; i<irows; i++)
    8609           0 :         for(j=0; j<icols; j++)
    8610             :         {
    8611           0 :             ptr->ptr.pp_complex[i][j].x = pContent[i*icols+j].x;
    8612           0 :             ptr->ptr.pp_complex[i][j].y = pContent[i*icols+j].y;
    8613             :         }
    8614             : }
    8615             : 
    8616             : #if !defined(AE_NO_EXCEPTIONS)
    8617           0 : alglib::complex_2d_array::complex_2d_array(const char *s):ae_matrix_wrapper(s, alglib_impl::DT_COMPLEX)
    8618             : {
    8619           0 : }
    8620             : 
    8621           0 : std::string alglib::complex_2d_array::tostring(int dps) const 
    8622             : {
    8623           0 :     std::string result;
    8624             :     ae_int_t i;
    8625           0 :     if( isempty() )
    8626           0 :         return "[[]]";
    8627           0 :     result = "[";
    8628           0 :     for(i=0; i<rows(); i++)
    8629             :     {
    8630           0 :         if( i!=0 )
    8631           0 :             result += ",";
    8632           0 :         result += arraytostring(&operator()(i,0), cols(), dps);
    8633             :     }
    8634           0 :     result += "]";
    8635           0 :     return result;
    8636           0 : }
    8637             : #endif
    8638             : 
    8639             : /********************************************************************
    8640             : Internal functions
    8641             : ********************************************************************/
    8642           5 : double alglib::get_aenv_nan()
    8643             : {
    8644             :     double r;
    8645             :     alglib_impl::ae_state _alglib_env_state;
    8646           5 :     alglib_impl::ae_state_init(&_alglib_env_state);
    8647           5 :     r = _alglib_env_state.v_nan;
    8648           5 :     alglib_impl::ae_state_clear(&_alglib_env_state);
    8649           5 :     return r;
    8650             : }
    8651             : 
    8652           5 : double alglib::get_aenv_posinf()
    8653             : {
    8654             :     double r;
    8655             :     alglib_impl::ae_state _alglib_env_state;
    8656           5 :     alglib_impl::ae_state_init(&_alglib_env_state);
    8657           5 :     r = _alglib_env_state.v_posinf;
    8658           5 :     alglib_impl::ae_state_clear(&_alglib_env_state);
    8659           5 :     return r;
    8660             : }
    8661             : 
    8662           5 : double alglib::get_aenv_neginf()
    8663             : {
    8664             :     double r;
    8665             :     alglib_impl::ae_state _alglib_env_state;
    8666           5 :     alglib_impl::ae_state_init(&_alglib_env_state);
    8667           5 :     r = _alglib_env_state.v_neginf;
    8668           5 :     alglib_impl::ae_state_clear(&_alglib_env_state);
    8669           5 :     return r;
    8670             : }
    8671             : 
    8672           0 : alglib::ae_int_t alglib::my_stricmp(const char *s1, const char *s2)
    8673             : {
    8674             :     int c1, c2;
    8675             :     
    8676             :     //
    8677             :     // handle special cases
    8678             :     //
    8679           0 :     if(s1==NULL && s2!=NULL)
    8680           0 :         return -1;
    8681           0 :     if(s1!=NULL && s2==NULL)
    8682           0 :         return +1;
    8683           0 :     if(s1==NULL && s2==NULL)
    8684           0 :         return 0;
    8685             : 
    8686             :     //
    8687             :     // compare
    8688             :     //
    8689             :     for (;;)
    8690             :     {
    8691           0 :         c1 = *s1;
    8692           0 :         c2 = *s2;
    8693           0 :         s1++;
    8694           0 :         s2++;
    8695           0 :         if( c1==0 )
    8696           0 :             return c2==0 ? 0 : -1;
    8697           0 :         if( c2==0 )
    8698           0 :             return c1==0 ? 0 : +1;
    8699           0 :         c1 = tolower(c1);
    8700           0 :         c2 = tolower(c2);
    8701           0 :         if( c1<c2 )
    8702           0 :             return -1;
    8703           0 :         if( c1>c2 )
    8704           0 :             return +1;
    8705             :     }
    8706             : }
    8707             : 
    8708             : #if !defined(AE_NO_EXCEPTIONS)
    8709             : //
    8710             : // This function filters out all spaces from the string.
    8711             : // It returns string allocated with ae_malloc().
    8712             : // On allocaction failure returns NULL.
    8713             : //
    8714           0 : char* alglib::filter_spaces(const char *s)
    8715             : {
    8716             :     size_t i, n;
    8717             :     char *r;
    8718             :     char *r0;
    8719           0 :     n = strlen(s);
    8720           0 :     r = (char*)alglib_impl::ae_malloc(n+1,NULL);
    8721           0 :     if( r==NULL )
    8722           0 :         return r;
    8723           0 :     for(i=0,r0=r; i<=n; i++,s++)
    8724           0 :         if( !isspace(*s) )
    8725             :         {
    8726           0 :             *r0 = *s;
    8727           0 :             r0++;
    8728             :         }
    8729           0 :     return r;
    8730             : }
    8731             : 
    8732           0 : void alglib::str_vector_create(const char *src, bool match_head_only, std::vector<const char*> *p_vec)
    8733             : {
    8734             :     //
    8735             :     // parse beginning of the string.
    8736             :     // try to handle "[]" string
    8737             :     //
    8738           0 :     p_vec->clear();
    8739           0 :     if( *src!='[' )
    8740           0 :         _ALGLIB_CPP_EXCEPTION("Incorrect initializer for vector");
    8741           0 :     src++;
    8742           0 :     if( *src==']' )
    8743           0 :         return;
    8744           0 :     p_vec->push_back(src);
    8745             :     for(;;)
    8746             :     {
    8747           0 :         if( *src==0 )
    8748           0 :             _ALGLIB_CPP_EXCEPTION("Incorrect initializer for vector");
    8749           0 :         if( *src==']' )
    8750             :         {
    8751           0 :             if( src[1]==0 || !match_head_only)
    8752           0 :                 return;
    8753           0 :             _ALGLIB_CPP_EXCEPTION("Incorrect initializer for vector");
    8754             :         }
    8755           0 :         if( *src==',' )
    8756             :         {
    8757           0 :             p_vec->push_back(src+1);
    8758           0 :             src++;
    8759           0 :             continue;
    8760             :         }
    8761           0 :         src++;
    8762             :     }
    8763             : }
    8764             : 
    8765           0 : void alglib::str_matrix_create(const char *src, std::vector< std::vector<const char*> > *p_mat)
    8766             : {
    8767           0 :     p_mat->clear();
    8768             :     
    8769             :     //
    8770             :     // Try to handle "[[]]" string
    8771             :     //
    8772           0 :     if( strcmp(src, "[[]]")==0 )
    8773           0 :         return;
    8774             : 
    8775             :     //
    8776             :     // Parse non-empty string
    8777             :     //
    8778           0 :     if( *src!='[' )
    8779           0 :         _ALGLIB_CPP_EXCEPTION("Incorrect initializer for matrix");
    8780           0 :     src++;
    8781             :     for(;;)
    8782             :     {
    8783           0 :         p_mat->push_back(std::vector<const char*>());
    8784           0 :         str_vector_create(src, false, &p_mat->back());
    8785           0 :         if( p_mat->back().size()==0 || p_mat->back().size()!=(*p_mat)[0].size() )
    8786           0 :             _ALGLIB_CPP_EXCEPTION("Incorrect initializer for matrix");
    8787           0 :         src = strchr(src, ']');
    8788           0 :         if( src==NULL )
    8789           0 :             _ALGLIB_CPP_EXCEPTION("Incorrect initializer for matrix");
    8790           0 :         src++;
    8791           0 :         if( *src==',' )
    8792             :         {
    8793           0 :             src++;
    8794           0 :             continue;
    8795             :         }
    8796           0 :         if( *src==']' )
    8797           0 :             break;
    8798           0 :         _ALGLIB_CPP_EXCEPTION("Incorrect initializer for matrix");
    8799             :     }
    8800           0 :     src++;
    8801           0 :     if( *src!=0 )
    8802           0 :         _ALGLIB_CPP_EXCEPTION("Incorrect initializer for matrix");
    8803             : }
    8804             : 
    8805           0 : ae_bool alglib::parse_bool_delim(const char *s, const char *delim)
    8806             : {
    8807             :     const char *p;
    8808             :     char buf[8];
    8809             :     
    8810             :     // try to parse false
    8811           0 :     p = "false";
    8812           0 :     memset(buf, 0, sizeof(buf));
    8813           0 :     strncpy(buf, s, strlen(p));
    8814           0 :     if( my_stricmp(buf, p)==0 )
    8815             :     {
    8816           0 :         if( s[strlen(p)]==0 || strchr(delim,s[strlen(p)])==NULL )
    8817           0 :             _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8818           0 :         return ae_false;
    8819             :     }
    8820             : 
    8821             :     // try to parse true
    8822           0 :     p = "true";
    8823           0 :     memset(buf, 0, sizeof(buf));
    8824           0 :     strncpy(buf, s, strlen(p));
    8825           0 :     if( my_stricmp(buf, p)==0 )
    8826             :     {
    8827           0 :         if( s[strlen(p)]==0 || strchr(delim,s[strlen(p)])==NULL )
    8828           0 :             _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8829           0 :         return ae_true;
    8830             :     }
    8831             : 
    8832             :     // error
    8833           0 :     _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8834             : }
    8835             : 
    8836           0 : alglib::ae_int_t alglib::parse_int_delim(const char *s, const char *delim)
    8837             : {
    8838             :     const char *p;
    8839             :     long long_val;
    8840             :     volatile ae_int_t ae_val;
    8841             :     
    8842           0 :     p = s;
    8843             : 
    8844             :     //
    8845             :     // check string structure:
    8846             :     // * leading sign
    8847             :     // * at least one digit
    8848             :     // * delimiter
    8849             :     //
    8850           0 :     if( *s=='-' || *s=='+' )
    8851           0 :         s++;
    8852           0 :     if( *s==0 || strchr("1234567890",*s)==NULL)
    8853           0 :         _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8854           0 :     while( *s!=0 && strchr("1234567890",*s)!=NULL )
    8855           0 :         s++;
    8856           0 :     if( *s==0 || strchr(delim,*s)==NULL )
    8857           0 :         _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8858             : 
    8859             :     // convert and ensure that value fits into ae_int_t
    8860           0 :     s = p;
    8861           0 :     long_val = atol(s);
    8862           0 :     ae_val = long_val;
    8863           0 :     if( ae_val!=long_val )
    8864           0 :         _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8865           0 :     return ae_val;
    8866             : }
    8867             : 
    8868           0 : bool alglib::_parse_real_delim(const char *s, const char *delim, double *result, const char **new_s)
    8869             : {
    8870             :     const char *p;
    8871             :     char *t;
    8872             :     bool has_digits;
    8873             :     char buf[64];
    8874             :     int  isign;
    8875             :     lconv *loc;
    8876             : 
    8877           0 :     p = s;
    8878             :     
    8879             :     //
    8880             :     // check string structure and decide what to do
    8881             :     //
    8882           0 :     isign = 1;
    8883           0 :     if( *s=='-' || *s=='+' )
    8884             :     {
    8885           0 :         isign = *s=='-' ? -1 : +1;
    8886           0 :         s++;
    8887             :     }
    8888           0 :     memset(buf, 0, sizeof(buf));
    8889           0 :     strncpy(buf, s, 3);
    8890           0 :     if( my_stricmp(buf,"nan")!=0 && my_stricmp(buf,"inf")!=0 )
    8891             :     {
    8892             :         //
    8893             :         // [sign] [ddd] [.] [ddd] [e|E[sign]ddd]
    8894             :         //
    8895           0 :         has_digits = false;
    8896           0 :         if( *s!=0 && strchr("1234567890",*s)!=NULL )
    8897             :         {
    8898           0 :             has_digits = true;
    8899           0 :             while( *s!=0 && strchr("1234567890",*s)!=NULL )
    8900           0 :                 s++;
    8901             :         }
    8902           0 :         if( *s=='.' )
    8903           0 :             s++;
    8904           0 :         if( *s!=0 && strchr("1234567890",*s)!=NULL )
    8905             :         {
    8906           0 :             has_digits = true;
    8907           0 :             while( *s!=0 && strchr("1234567890",*s)!=NULL )
    8908           0 :                 s++;
    8909             :         }
    8910           0 :         if (!has_digits )
    8911           0 :             return false;
    8912           0 :         if( *s=='e' || *s=='E' )
    8913             :         {
    8914           0 :             s++;
    8915           0 :             if( *s=='-' || *s=='+' )
    8916           0 :                 s++;
    8917           0 :             if( *s==0 || strchr("1234567890",*s)==NULL )
    8918           0 :                 return false;
    8919           0 :             while( *s!=0 && strchr("1234567890",*s)!=NULL )
    8920           0 :                 s++;
    8921             :         }   
    8922           0 :         if( *s==0 || strchr(delim,*s)==NULL )
    8923           0 :             return false;
    8924           0 :         *new_s = s;
    8925             : 
    8926             :         //
    8927             :         // finite value conversion
    8928             :         //
    8929           0 :         if( *new_s-p>=(int)sizeof(buf) )
    8930           0 :             return false;
    8931           0 :         strncpy(buf, p, (size_t)(*new_s-p));
    8932           0 :         buf[*new_s-p] = 0;
    8933           0 :         loc = localeconv();
    8934           0 :         t = strchr(buf,'.');
    8935           0 :         if( t!=NULL )
    8936           0 :             *t = *loc->decimal_point;
    8937           0 :         *result = atof(buf);
    8938           0 :         return true;
    8939             :     }
    8940             :     else
    8941             :     {
    8942             :         //
    8943             :         // check delimiter and update *new_s
    8944             :         //
    8945           0 :         s += 3;
    8946           0 :         if( *s==0 || strchr(delim,*s)==NULL )
    8947           0 :             return false;
    8948           0 :         *new_s = s;
    8949             : 
    8950             :         //
    8951             :         // NAN, INF conversion
    8952             :         //
    8953           0 :         if( my_stricmp(buf,"nan")==0 )
    8954           0 :             *result = fp_nan;
    8955           0 :         if( my_stricmp(buf,"inf")==0 )
    8956           0 :             *result = isign>0 ? fp_posinf : fp_neginf;
    8957           0 :         return true;
    8958             :     }
    8959             : }
    8960             : 
    8961           0 : double alglib::parse_real_delim(const char *s, const char *delim)
    8962             : {
    8963             :     double result;
    8964             :     const char *new_s;
    8965           0 :     if( !_parse_real_delim(s, delim, &result, &new_s) )
    8966           0 :         _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8967           0 :     return result;
    8968             : }
    8969             : 
    8970           0 : alglib::complex alglib::parse_complex_delim(const char *s, const char *delim)
    8971             : {
    8972             :     double d_result;
    8973             :     const char *new_s;
    8974           0 :     alglib::complex c_result;
    8975             :     
    8976             :     // parse as real value
    8977           0 :     if( _parse_real_delim(s, delim, &d_result, &new_s) )
    8978           0 :         return d_result;
    8979             : 
    8980             :     // parse as "a+bi" or "a-bi"
    8981           0 :     if( _parse_real_delim(s, "+-", &c_result.x, &new_s) )
    8982             :     {
    8983           0 :         s = new_s;
    8984           0 :         if( !_parse_real_delim(s, "i", &c_result.y, &new_s) )
    8985           0 :             _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8986           0 :         s = new_s+1;
    8987           0 :         if( *s==0 || strchr(delim,*s)==NULL )
    8988           0 :             _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8989           0 :         return c_result;
    8990             :     }
    8991             :     
    8992             :     // parse as complex value "bi+a" or "bi-a"
    8993           0 :     if( _parse_real_delim(s, "i", &c_result.y, &new_s) )
    8994             :     {
    8995           0 :         s = new_s+1;
    8996           0 :         if( *s==0 )
    8997           0 :             _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    8998           0 :         if( strchr(delim,*s)!=NULL )
    8999             :         {
    9000           0 :             c_result.x = 0;
    9001           0 :             return c_result;
    9002             :         }
    9003           0 :         if( strchr("+-",*s)!=NULL )
    9004             :         {
    9005           0 :             if( !_parse_real_delim(s, delim, &c_result.x, &new_s) )
    9006           0 :                 _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    9007           0 :             return c_result;
    9008             :         }
    9009           0 :         _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    9010             :     }
    9011             : 
    9012             :     // error
    9013           0 :     _ALGLIB_CPP_EXCEPTION("Cannot parse value");
    9014             : }
    9015             : 
    9016           0 : std::string alglib::arraytostring(const bool *ptr, ae_int_t n)
    9017             : {
    9018           0 :     std::string result;
    9019             :     ae_int_t i;
    9020           0 :     result = "[";
    9021           0 :     for(i=0; i<n; i++)
    9022             :     {
    9023           0 :         if( i!=0 )
    9024           0 :             result += ",";
    9025           0 :         result += ptr[i] ? "true" : "false";
    9026             :     }
    9027           0 :     result += "]";
    9028           0 :     return result;
    9029           0 : }
    9030             : 
    9031           0 : std::string alglib::arraytostring(const ae_int_t *ptr, ae_int_t n)
    9032             : {
    9033           0 :     std::string result;
    9034             :     ae_int_t i;
    9035             :     char buf[64];
    9036           0 :     result = "[";
    9037           0 :     for(i=0; i<n; i++)
    9038             :     {
    9039           0 :         if( sprintf(buf, i==0 ? "%ld" : ",%ld", long(ptr[i]))>=(int)sizeof(buf) )
    9040           0 :             _ALGLIB_CPP_EXCEPTION("arraytostring(): buffer overflow");
    9041           0 :         result += buf;
    9042             :     }
    9043           0 :     result += "]";
    9044           0 :     return result;
    9045           0 : }
    9046             : 
    9047           0 : std::string alglib::arraytostring(const double *ptr, ae_int_t n, int _dps)
    9048             : {
    9049           0 :     std::string result;
    9050             :     ae_int_t i;
    9051             :     char buf[64];
    9052             :     char mask1[64];
    9053             :     char mask2[64];
    9054           0 :     int dps = _dps>=0 ? _dps : -_dps;
    9055           0 :     result = "[";
    9056           0 :     if( sprintf(mask1, "%%.%d%s", dps, _dps>=0 ? "f" : "e")>=(int)sizeof(mask1) )
    9057           0 :         _ALGLIB_CPP_EXCEPTION("arraytostring(): buffer overflow");
    9058           0 :     if( sprintf(mask2, ",%s", mask1)>=(int)sizeof(mask2) )
    9059           0 :         _ALGLIB_CPP_EXCEPTION("arraytostring(): buffer overflow");
    9060           0 :     for(i=0; i<n; i++)
    9061             :     {
    9062           0 :         buf[0] = 0;
    9063           0 :         if( fp_isfinite(ptr[i]) )
    9064             :         {
    9065           0 :             if( sprintf(buf, i==0 ? mask1 : mask2, double(ptr[i]))>=(int)sizeof(buf) )
    9066           0 :                 _ALGLIB_CPP_EXCEPTION("arraytostring(): buffer overflow");
    9067             :         }
    9068           0 :         else if( fp_isnan(ptr[i]) )
    9069           0 :             strcpy(buf, i==0 ?  "NAN" :  ",NAN");
    9070           0 :         else if( fp_isposinf(ptr[i]) )
    9071           0 :             strcpy(buf, i==0 ? "+INF" : ",+INF");
    9072           0 :         else if( fp_isneginf(ptr[i]) )
    9073           0 :             strcpy(buf, i==0 ? "-INF" : ",-INF");
    9074           0 :         result += buf;
    9075             :     }
    9076           0 :     result += "]";
    9077           0 :     return result;
    9078           0 : }
    9079             : 
    9080           0 : std::string alglib::arraytostring(const alglib::complex *ptr, ae_int_t n, int dps)
    9081             : {
    9082           0 :     std::string result;
    9083             :     ae_int_t i;
    9084           0 :     result = "[";
    9085           0 :     for(i=0; i<n; i++)
    9086             :     {
    9087           0 :         if( i!=0 )
    9088           0 :             result += ",";
    9089           0 :         result += ptr[i].tostring(dps);
    9090             :     }
    9091           0 :     result += "]";
    9092           0 :     return result;
    9093           0 : }
    9094             : #endif
    9095             : 
    9096             : 
    9097             : /********************************************************************
    9098             : standard functions
    9099             : ********************************************************************/
    9100           0 : int alglib::sign(double x)
    9101             : {
    9102           0 :     if( x>0 ) return  1;
    9103           0 :     if( x<0 ) return -1;
    9104           0 :     return 0;
    9105             : }
    9106             : 
    9107           0 : double alglib::randomreal()
    9108             : {
    9109           0 :     int i1 = rand();
    9110           0 :     int i2 = rand();
    9111           0 :     double mx = (double)(RAND_MAX)+1.0;
    9112           0 :     volatile double tmp0 = i2/mx;
    9113           0 :     volatile double tmp1 = i1+tmp0;
    9114           0 :     return tmp1/mx;
    9115             : }
    9116             : 
    9117           0 : alglib::ae_int_t alglib::randominteger(alglib::ae_int_t maxv)
    9118             : {
    9119           0 :     return ((alglib::ae_int_t)rand())%maxv;
    9120             : }
    9121             : 
    9122           0 : int alglib::round(double x)
    9123           0 : { return int(floor(x+0.5)); }
    9124             : 
    9125           0 : int alglib::trunc(double x)
    9126           0 : { return int(x>0 ? floor(x) : ceil(x)); }
    9127             : 
    9128           0 : int alglib::ifloor(double x)
    9129           0 : { return int(floor(x)); }
    9130             : 
    9131           0 : int alglib::iceil(double x)
    9132           0 : { return int(ceil(x)); }
    9133             : 
    9134           0 : double alglib::pi()
    9135           0 : { return 3.14159265358979323846; }
    9136             : 
    9137           0 : double alglib::sqr(double x)
    9138           0 : { return x*x; }
    9139             : 
    9140           0 : int alglib::maxint(int m1, int m2)
    9141             : {
    9142           0 :     return m1>m2 ? m1 : m2;
    9143             : }
    9144             : 
    9145           0 : int alglib::minint(int m1, int m2)
    9146             : {
    9147           0 :     return m1>m2 ? m2 : m1;
    9148             : }
    9149             : 
    9150           0 : double alglib::maxreal(double m1, double m2)
    9151             : {
    9152           0 :     return m1>m2 ? m1 : m2;
    9153             : }
    9154             : 
    9155           0 : double alglib::minreal(double m1, double m2)
    9156             : {
    9157           0 :     return m1>m2 ? m2 : m1;
    9158             : }
    9159             : 
    9160           0 : bool alglib::fp_eq(double v1, double v2)
    9161             : {
    9162             :     // IEEE-strict floating point comparison
    9163           0 :     volatile double x = v1;
    9164           0 :     volatile double y = v2;
    9165           0 :     return x==y;
    9166             : }
    9167             : 
    9168           0 : bool alglib::fp_neq(double v1, double v2)
    9169             : {
    9170             :     // IEEE-strict floating point comparison
    9171           0 :     return !fp_eq(v1,v2);
    9172             : }
    9173             : 
    9174           0 : bool alglib::fp_less(double v1, double v2)
    9175             : {
    9176             :     // IEEE-strict floating point comparison
    9177           0 :     volatile double x = v1;
    9178           0 :     volatile double y = v2;
    9179           0 :     return x<y;
    9180             : }
    9181             : 
    9182           0 : bool alglib::fp_less_eq(double v1, double v2)
    9183             : {
    9184             :     // IEEE-strict floating point comparison
    9185           0 :     volatile double x = v1;
    9186           0 :     volatile double y = v2;
    9187           0 :     return x<=y;
    9188             : }
    9189             : 
    9190           0 : bool alglib::fp_greater(double v1, double v2)
    9191             : {
    9192             :     // IEEE-strict floating point comparison
    9193           0 :     volatile double x = v1;
    9194           0 :     volatile double y = v2;
    9195           0 :     return x>y;
    9196             : }
    9197             : 
    9198           0 : bool alglib::fp_greater_eq(double v1, double v2)
    9199             : {
    9200             :     // IEEE-strict floating point comparison
    9201           0 :     volatile double x = v1;
    9202           0 :     volatile double y = v2;
    9203           0 :     return x>=y;
    9204             : }
    9205             : 
    9206           0 : bool alglib::fp_isnan(double x)
    9207             : {
    9208           0 :     return alglib_impl::ae_isnan_stateless(x,endianness);
    9209             : }
    9210             : 
    9211           0 : bool alglib::fp_isposinf(double x)
    9212             : {
    9213           0 :     return alglib_impl::ae_isposinf_stateless(x,endianness);
    9214             : }
    9215             : 
    9216           0 : bool alglib::fp_isneginf(double x)
    9217             : {
    9218           0 :     return alglib_impl::ae_isneginf_stateless(x,endianness);
    9219             : }
    9220             : 
    9221           0 : bool alglib::fp_isinf(double x)
    9222             : {
    9223           0 :     return alglib_impl::ae_isinf_stateless(x,endianness);
    9224             : }
    9225             : 
    9226           0 : bool alglib::fp_isfinite(double x)
    9227             : {
    9228           0 :     return alglib_impl::ae_isfinite_stateless(x,endianness);
    9229             : }
    9230             : 
    9231             : /********************************************************************
    9232             : CSV functions
    9233             : ********************************************************************/
    9234             : #if !defined(AE_NO_EXCEPTIONS)
    9235           0 : void alglib::read_csv(const char *filename, char separator, int flags, alglib::real_2d_array &out)
    9236             : {
    9237             :     int flag;
    9238             :     
    9239             :     //
    9240             :     // Parameters
    9241             :     //
    9242           0 :     bool skip_first_row = (flags&CSV_SKIP_HEADERS)!=0;
    9243             :     
    9244             :     //
    9245             :     // Prepare empty output array
    9246             :     //
    9247           0 :     out.setlength(0,0);
    9248             :     
    9249             :     //
    9250             :     // Open file, determine size, read contents
    9251             :     //
    9252           0 :     FILE *f_in = fopen(filename, "rb");
    9253           0 :     if( f_in==NULL )
    9254           0 :         _ALGLIB_CPP_EXCEPTION("read_csv: unable to open input file");
    9255           0 :     flag = fseek(f_in, 0, SEEK_END);
    9256           0 :     AE_CRITICAL_ASSERT(flag==0);
    9257           0 :     long int _filesize = ftell(f_in);
    9258           0 :     AE_CRITICAL_ASSERT(_filesize>=0);
    9259           0 :     if( _filesize==0 )
    9260             :     {
    9261             :         // empty file, return empty array, success
    9262           0 :         fclose(f_in);
    9263           0 :         return;
    9264             :     }
    9265           0 :     size_t filesize = _filesize;
    9266           0 :     std::vector<char> v_buf;
    9267           0 :     v_buf.resize(filesize+2, 0);
    9268           0 :     char *p_buf = &v_buf[0];
    9269           0 :     flag = fseek(f_in, 0, SEEK_SET);
    9270           0 :     AE_CRITICAL_ASSERT(flag==0);
    9271           0 :     size_t bytes_read = fread ((void*)p_buf, 1, filesize, f_in);
    9272           0 :     AE_CRITICAL_ASSERT(bytes_read==filesize);
    9273           0 :     fclose(f_in);
    9274             :     
    9275             :     //
    9276             :     // Normalize file contents:
    9277             :     // * replace 0x0 by spaces
    9278             :     // * remove trailing spaces and newlines
    9279             :     // * append trailing '\n' and '\0' characters
    9280             :     // Return if file contains only spaces/newlines.
    9281             :     //
    9282           0 :     for(size_t i=0; i<filesize; i++)
    9283           0 :         if( p_buf[i]==0 )
    9284           0 :             p_buf[i] = ' ';
    9285           0 :     for(; filesize>0; )
    9286             :     {
    9287           0 :         char c = p_buf[filesize-1];
    9288           0 :         if( c==' ' || c=='\t' || c=='\n' || c=='\r' )
    9289             :         {
    9290           0 :             filesize--;
    9291           0 :             continue;
    9292             :         }
    9293           0 :         break;
    9294             :     }
    9295           0 :     if( filesize==0 )
    9296           0 :         return;
    9297           0 :     p_buf[filesize+0] = '\n';
    9298           0 :     p_buf[filesize+1] = '\0';
    9299           0 :     filesize+=2;
    9300             :     
    9301             :     //
    9302             :     // Scan dataset.
    9303             :     //
    9304           0 :     size_t rows_count = 0, cols_count = 0, max_length = 0;
    9305           0 :     std::vector<size_t> offsets, lengths;
    9306           0 :     for(size_t row_start=0; p_buf[row_start]!=0x0; )
    9307             :     {
    9308             :         // determine row length
    9309             :         size_t row_length;
    9310           0 :         for(row_length=0; p_buf[row_start+row_length]!='\n'; row_length++);
    9311             :         
    9312             :         // determine cols count, perform integrity check
    9313           0 :         size_t cur_cols_cnt=1;
    9314           0 :         for(size_t idx=0; idx<row_length; idx++)
    9315           0 :             if( p_buf[row_start+idx]==separator )
    9316           0 :                 cur_cols_cnt++;
    9317           0 :         if( cols_count>0 && cols_count!=cur_cols_cnt )
    9318           0 :             _ALGLIB_CPP_EXCEPTION("read_csv: non-rectangular contents, rows have different sizes");
    9319           0 :         cols_count = cur_cols_cnt;
    9320             :         
    9321             :         // store offsets and lengths of the fields
    9322           0 :         size_t cur_offs = 0;
    9323           0 :         for(size_t idx=0; idx<row_length+1; idx++)
    9324           0 :             if( p_buf[row_start+idx]==separator || p_buf[row_start+idx]=='\n' )
    9325             :             {
    9326           0 :                 offsets.push_back(row_start+cur_offs);
    9327           0 :                 lengths.push_back(idx-cur_offs);
    9328           0 :                 max_length = idx-cur_offs>max_length ? idx-cur_offs : max_length;
    9329           0 :                 cur_offs = idx+1;
    9330             :             }
    9331             :         
    9332             :         // advance row start
    9333           0 :         rows_count++;
    9334           0 :         row_start = row_start+row_length+1;
    9335             :     }
    9336           0 :     AE_CRITICAL_ASSERT(rows_count>=1);
    9337           0 :     AE_CRITICAL_ASSERT(cols_count>=1);
    9338           0 :     AE_CRITICAL_ASSERT(cols_count*rows_count==offsets.size());
    9339           0 :     AE_CRITICAL_ASSERT(cols_count*rows_count==lengths.size());
    9340           0 :     if( rows_count==1 && skip_first_row ) // empty output, return
    9341           0 :         return;
    9342             :     
    9343             :     //
    9344             :     // Convert
    9345             :     //
    9346           0 :     size_t row0 = skip_first_row ? 1 : 0;
    9347           0 :     size_t row1 = rows_count;
    9348           0 :     lconv *loc  = localeconv();
    9349           0 :     out.setlength(row1-row0, cols_count);
    9350           0 :     for(size_t ridx=row0; ridx<row1; ridx++)
    9351           0 :         for(size_t cidx=0; cidx<cols_count; cidx++)
    9352             :         {
    9353           0 :             char *p_field = p_buf+offsets[ridx*cols_count+cidx];
    9354           0 :             size_t       field_len = lengths[ridx*cols_count+cidx];
    9355           0 :             for(size_t idx=0; idx<field_len; idx++)
    9356           0 :                 if( p_field[idx]=='.' || p_field[idx]==',' )
    9357           0 :                     p_field[idx] = *loc->decimal_point;
    9358           0 :             out[ridx-row0][cidx] = atof(p_field);
    9359             :         }
    9360           0 : }
    9361             : #endif
    9362             : 
    9363             : 
    9364             : 
    9365             : /********************************************************************
    9366             : Trace functions
    9367             : ********************************************************************/
    9368           0 : void alglib::trace_file(std::string tags, std::string filename)
    9369             : {
    9370           0 :     alglib_impl::ae_trace_file(tags.c_str(), filename.c_str());
    9371           0 : }
    9372             : 
    9373           0 : void alglib::trace_disable()
    9374             : {
    9375           0 :     alglib_impl::ae_trace_disable();
    9376           0 : }
    9377             : 
    9378             : 
    9379             : 
    9380             : /////////////////////////////////////////////////////////////////////////
    9381             : //
    9382             : // THIS SECTIONS CONTAINS OPTIMIZED LINEAR ALGEBRA CODE
    9383             : // IT IS SHARED BETWEEN C++ AND PURE C LIBRARIES
    9384             : //
    9385             : /////////////////////////////////////////////////////////////////////////
    9386             : namespace alglib_impl
    9387             : {
    9388             : #define alglib_simd_alignment 16
    9389             : 
    9390             : #define alglib_r_block        32
    9391             : #define alglib_half_r_block   16
    9392             : #define alglib_twice_r_block  64
    9393             : 
    9394             : #define alglib_c_block        16
    9395             : #define alglib_half_c_block    8
    9396             : #define alglib_twice_c_block  32
    9397             : 
    9398             : 
    9399             : /********************************************************************
    9400             : This subroutine calculates fast 32x32 real matrix-vector product:
    9401             : 
    9402             :     y := beta*y + alpha*A*x
    9403             : 
    9404             : using either generic C code or native optimizations (if available)
    9405             : 
    9406             : IMPORTANT:
    9407             : * A must be stored in row-major order,
    9408             :   stride is alglib_r_block,
    9409             :   aligned on alglib_simd_alignment boundary
    9410             : * X must be aligned on alglib_simd_alignment boundary
    9411             : * Y may be non-aligned
    9412             : ********************************************************************/
    9413           0 : void _ialglib_mv_32(const double *a, const double *x, double *y, ae_int_t stride, double alpha, double beta)
    9414             : {
    9415             :     ae_int_t i, k;
    9416             :     const double *pa0, *pa1, *pb;
    9417             : 
    9418           0 :     pa0 = a;
    9419           0 :     pa1 = a+alglib_r_block;
    9420           0 :     pb = x;
    9421           0 :     for(i=0; i<16; i++)
    9422             :     {
    9423           0 :         double v0 = 0, v1 = 0;
    9424           0 :         for(k=0; k<4; k++)
    9425             :         {
    9426           0 :             v0 += pa0[0]*pb[0];
    9427           0 :             v1 += pa1[0]*pb[0];
    9428           0 :             v0 += pa0[1]*pb[1];
    9429           0 :             v1 += pa1[1]*pb[1];
    9430           0 :             v0 += pa0[2]*pb[2];
    9431           0 :             v1 += pa1[2]*pb[2];
    9432           0 :             v0 += pa0[3]*pb[3];
    9433           0 :             v1 += pa1[3]*pb[3];
    9434           0 :             v0 += pa0[4]*pb[4];
    9435           0 :             v1 += pa1[4]*pb[4];
    9436           0 :             v0 += pa0[5]*pb[5];
    9437           0 :             v1 += pa1[5]*pb[5];
    9438           0 :             v0 += pa0[6]*pb[6];
    9439           0 :             v1 += pa1[6]*pb[6];
    9440           0 :             v0 += pa0[7]*pb[7];
    9441           0 :             v1 += pa1[7]*pb[7];
    9442           0 :             pa0 += 8;
    9443           0 :             pa1 += 8;
    9444           0 :             pb  += 8;
    9445             :         }
    9446           0 :         y[0] = beta*y[0]+alpha*v0;
    9447           0 :         y[stride] = beta*y[stride]+alpha*v1;
    9448             : 
    9449             :         /*
    9450             :          * now we've processed rows I and I+1,
    9451             :          * pa0 and pa1 are pointing to rows I+1 and I+2.
    9452             :          * move to I+2 and I+3.
    9453             :          */
    9454           0 :         pa0 += alglib_r_block;
    9455           0 :         pa1 += alglib_r_block;
    9456           0 :         pb = x;
    9457           0 :         y+=2*stride;
    9458             :     }
    9459           0 : }
    9460             : 
    9461             : 
    9462             : /*************************************************************************
    9463             : This function calculates MxN real matrix-vector product:
    9464             : 
    9465             :     y := beta*y + alpha*A*x
    9466             : 
    9467             : using generic C code. It calls _ialglib_mv_32 if both M=32 and N=32.
    9468             : 
    9469             : If beta is zero, we do not use previous values of y (they are  overwritten
    9470             : by alpha*A*x without ever being read).  If alpha is zero, no matrix-vector
    9471             : product is calculated (only beta is updated); however, this update  is not
    9472             : efficient  and  this  function  should  NOT  be used for multiplication of 
    9473             : vector and scalar.
    9474             : 
    9475             : IMPORTANT:
    9476             : * 0<=M<=alglib_r_block, 0<=N<=alglib_r_block
    9477             : * A must be stored in row-major order with stride equal to alglib_r_block
    9478             : *************************************************************************/
    9479           0 : void _ialglib_rmv(ae_int_t m, ae_int_t n, const double *a, const double *x, double *y, ae_int_t stride, double alpha, double beta)
    9480             : {
    9481             :     /*
    9482             :      * Handle special cases:
    9483             :      * - alpha is zero or n is zero
    9484             :      * - m is zero
    9485             :      */
    9486           0 :     if( m==0 )
    9487           0 :         return;
    9488           0 :     if( alpha==0.0 || n==0 )
    9489             :     {
    9490             :         ae_int_t i;
    9491           0 :         if( beta==0.0 )
    9492             :         {
    9493           0 :             for(i=0; i<m; i++)
    9494             :             {
    9495           0 :                 *y = 0.0;
    9496           0 :                 y += stride;
    9497             :             }
    9498             :         }
    9499             :         else
    9500             :         {
    9501           0 :             for(i=0; i<m; i++)
    9502             :             {
    9503           0 :                 *y *= beta;
    9504           0 :                 y += stride;
    9505             :             }
    9506             :         }
    9507           0 :         return;
    9508             :     }
    9509             :     
    9510             :     /*
    9511             :      * Handle general case: nonzero alpha, n and m
    9512             :      *
    9513             :      */
    9514           0 :     if( m==32 && n==32 )
    9515             :     {
    9516             :         /*
    9517             :          * 32x32, may be we have something better than general implementation
    9518             :          */
    9519           0 :         _ialglib_mv_32(a, x, y, stride, alpha, beta);
    9520             :     }
    9521             :     else
    9522             :     {
    9523             :         ae_int_t i, k, m2, n8, n2, ntrail2;
    9524             :         const double *pa0, *pa1, *pb;
    9525             : 
    9526             :         /*
    9527             :          * First M/2 rows of A are processed in pairs.
    9528             :          * optimized code is used.
    9529             :          */
    9530           0 :         m2 = m/2;
    9531           0 :         n8 = n/8;
    9532           0 :         ntrail2 = (n-8*n8)/2;
    9533           0 :         for(i=0; i<m2; i++)
    9534             :         {
    9535           0 :             double v0 = 0, v1 = 0;
    9536             : 
    9537             :             /*
    9538             :              * 'a' points to the part of the matrix which
    9539             :              * is not processed yet
    9540             :              */
    9541           0 :             pb = x;
    9542           0 :             pa0 = a;
    9543           0 :             pa1 = a+alglib_r_block;
    9544           0 :             a += alglib_twice_r_block;
    9545             : 
    9546             :             /*
    9547             :              * 8 elements per iteration
    9548             :              */
    9549           0 :             for(k=0; k<n8; k++)
    9550             :             {
    9551           0 :                 v0 += pa0[0]*pb[0];
    9552           0 :                 v1 += pa1[0]*pb[0];
    9553           0 :                 v0 += pa0[1]*pb[1];
    9554           0 :                 v1 += pa1[1]*pb[1];
    9555           0 :                 v0 += pa0[2]*pb[2];
    9556           0 :                 v1 += pa1[2]*pb[2];
    9557           0 :                 v0 += pa0[3]*pb[3];
    9558           0 :                 v1 += pa1[3]*pb[3];
    9559           0 :                 v0 += pa0[4]*pb[4];
    9560           0 :                 v1 += pa1[4]*pb[4];
    9561           0 :                 v0 += pa0[5]*pb[5];
    9562           0 :                 v1 += pa1[5]*pb[5];
    9563           0 :                 v0 += pa0[6]*pb[6];
    9564           0 :                 v1 += pa1[6]*pb[6];
    9565           0 :                 v0 += pa0[7]*pb[7];
    9566           0 :                 v1 += pa1[7]*pb[7];
    9567           0 :                 pa0 += 8;
    9568           0 :                 pa1 += 8;
    9569           0 :                 pb  += 8;
    9570             :             }
    9571             : 
    9572             :             /*
    9573             :              * 2 elements per iteration
    9574             :              */
    9575           0 :             for(k=0; k<ntrail2; k++)
    9576             :             {
    9577           0 :                 v0 += pa0[0]*pb[0];
    9578           0 :                 v1 += pa1[0]*pb[0];
    9579           0 :                 v0 += pa0[1]*pb[1];
    9580           0 :                 v1 += pa1[1]*pb[1];
    9581           0 :                 pa0 += 2;
    9582           0 :                 pa1 += 2;
    9583           0 :                 pb  += 2;
    9584             :             }
    9585             : 
    9586             :             /*
    9587             :              * last element, if needed
    9588             :              */
    9589           0 :             if( n%2!=0 )
    9590             :             {
    9591           0 :                 v0 += pa0[0]*pb[0];
    9592           0 :                 v1 += pa1[0]*pb[0];
    9593             :             }
    9594             : 
    9595             :             /*
    9596             :              * final update
    9597             :              */
    9598           0 :             if( beta!=0 )
    9599             :             {
    9600           0 :                 y[0] = beta*y[0]+alpha*v0;
    9601           0 :                 y[stride] = beta*y[stride]+alpha*v1;
    9602             :             }
    9603             :             else
    9604             :             {
    9605           0 :                 y[0] = alpha*v0;
    9606           0 :                 y[stride] = alpha*v1;
    9607             :             }
    9608             :             
    9609             :             /*
    9610             :              * move to the next pair of elements
    9611             :              */
    9612           0 :             y+=2*stride;
    9613             :         }
    9614             : 
    9615             : 
    9616             :         /*
    9617             :          * Last (odd) row is processed with less optimized code.
    9618             :          */
    9619           0 :         if( m%2!=0 )
    9620             :         {
    9621           0 :             double v0 = 0;
    9622             : 
    9623             :             /*
    9624             :              * 'a' points to the part of the matrix which
    9625             :              * is not processed yet
    9626             :              */
    9627           0 :             pb = x;
    9628           0 :             pa0 = a;
    9629             : 
    9630             :             /*
    9631             :              * 2 elements per iteration
    9632             :              */
    9633           0 :             n2 = n/2;
    9634           0 :             for(k=0; k<n2; k++)
    9635             :             {
    9636           0 :                 v0 += pa0[0]*pb[0]+pa0[1]*pb[1];
    9637           0 :                 pa0 += 2;
    9638           0 :                 pb  += 2;
    9639             :             }
    9640             : 
    9641             :             /*
    9642             :              * last element, if needed
    9643             :              */
    9644           0 :             if( n%2!=0 )
    9645           0 :                 v0 += pa0[0]*pb[0];
    9646             : 
    9647             :             /*
    9648             :              * final update
    9649             :              */
    9650           0 :             if( beta!=0 )
    9651           0 :                 y[0] = beta*y[0]+alpha*v0;
    9652             :             else
    9653           0 :                 y[0] = alpha*v0;
    9654             :         }
    9655             :     }
    9656             : }
    9657             : 
    9658             : 
    9659             : /*************************************************************************
    9660             : This function calculates MxN real matrix-vector product:
    9661             : 
    9662             :     y := beta*y + alpha*A*x
    9663             : 
    9664             : using generic C code. It calls _ialglib_mv_32 if both M=32 and N=32.
    9665             : 
    9666             : If beta is zero, we do not use previous values of y (they are  overwritten
    9667             : by alpha*A*x without ever being read).  If alpha is zero, no matrix-vector
    9668             : product is calculated (only beta is updated); however, this update  is not
    9669             : efficient  and  this  function  should  NOT  be used for multiplication of 
    9670             : vector and scalar.
    9671             : 
    9672             : IMPORTANT:
    9673             : * 0<=M<=alglib_r_block, 0<=N<=alglib_r_block
    9674             : * A must be stored in row-major order with stride equal to alglib_r_block
    9675             : * y may be non-aligned
    9676             : * both A and x must have same offset with respect to 16-byte boundary:
    9677             :   either both are aligned, or both are aligned with offset 8. Function
    9678             :   will crash your system if you try to call it with misaligned or 
    9679             :   incorrectly aligned data.
    9680             : 
    9681             : This function supports SSE2; it can be used when:
    9682             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
    9683             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
    9684             : 
    9685             : If (1) is failed, this function will be undefined. If (2) is failed,  call 
    9686             : to this function will probably crash your system. 
    9687             : 
    9688             : If  you  want  to  know  whether  it  is safe to call it, you should check 
    9689             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
    9690             : and will do its work.
    9691             : *************************************************************************/
    9692             : #if defined(AE_HAS_SSE2_INTRINSICS)
    9693             : void _ialglib_rmv_sse2(ae_int_t m, ae_int_t n, const double *a, const double *x, double *y, ae_int_t stride, double alpha, double beta)
    9694             : {
    9695             :     ae_int_t i, k, n2;
    9696             :     ae_int_t mb3, mtail, nhead, nb8, nb2, ntail;
    9697             :     const double *pa0, *pa1, *pa2, *pb;
    9698             :     __m128d v0, v1, v2, va0, va1, va2, vx, vtmp;
    9699             :     
    9700             :     /*
    9701             :      * Handle special cases:
    9702             :      * - alpha is zero or n is zero
    9703             :      * - m is zero
    9704             :      */
    9705             :     if( m==0 )
    9706             :         return;
    9707             :     if( alpha==0.0 || n==0 )
    9708             :     {
    9709             :         if( beta==0.0 )
    9710             :         {
    9711             :             for(i=0; i<m; i++)
    9712             :             {
    9713             :                 *y = 0.0;
    9714             :                 y += stride;
    9715             :             }
    9716             :         }
    9717             :         else
    9718             :         {
    9719             :             for(i=0; i<m; i++)
    9720             :             {
    9721             :                 *y *= beta;
    9722             :                 y += stride;
    9723             :             }
    9724             :         }
    9725             :         return;
    9726             :     }
    9727             :     
    9728             :     /*
    9729             :      * Handle general case: nonzero alpha, n and m
    9730             :      *
    9731             :      * We divide problem as follows...
    9732             :      *
    9733             :      * Rows M are divided into:
    9734             :      * - mb3 blocks, each 3xN
    9735             :      * - mtail blocks, each 1xN
    9736             :      *
    9737             :      * Within a row, elements are divided  into:
    9738             :      * - nhead 1x1 blocks (used to align the rest, either 0 or 1)
    9739             :      * - nb8 1x8 blocks, aligned to 16-byte boundary
    9740             :      * - nb2 1x2 blocks, aligned to 16-byte boundary
    9741             :      * - ntail 1x1 blocks, aligned too (altough we don't rely on it)
    9742             :      *
    9743             :      */
    9744             :     n2 = n/2;    
    9745             :     mb3 = m/3;
    9746             :     mtail = m%3;
    9747             :     nhead = ae_misalignment(a,alglib_simd_alignment)==0 ? 0 : 1;
    9748             :     nb8 = (n-nhead)/8;
    9749             :     nb2 = (n-nhead-8*nb8)/2;
    9750             :     ntail = n-nhead-8*nb8-2*nb2;
    9751             :     for(i=0; i<mb3; i++)
    9752             :     {
    9753             :         double row0, row1, row2;
    9754             :         row0 = 0;
    9755             :         row1 = 0;
    9756             :         row2 = 0;
    9757             :         pb = x;
    9758             :         pa0 = a;
    9759             :         pa1 = a+alglib_r_block;
    9760             :         pa2 = a+alglib_twice_r_block;
    9761             :         a += 3*alglib_r_block;
    9762             :         if( nhead==1 )
    9763             :         {
    9764             :             vx  = _mm_load_sd(pb);
    9765             :             v0 = _mm_load_sd(pa0);
    9766             :             v1 = _mm_load_sd(pa1);
    9767             :             v2 = _mm_load_sd(pa2);
    9768             :             
    9769             :             v0 = _mm_mul_sd(v0,vx);
    9770             :             v1 = _mm_mul_sd(v1,vx);
    9771             :             v2 = _mm_mul_sd(v2,vx);
    9772             :             
    9773             :             pa0++;
    9774             :             pa1++;
    9775             :             pa2++;
    9776             :             pb++;
    9777             :         }
    9778             :         else
    9779             :         {
    9780             :             v0 = _mm_setzero_pd();
    9781             :             v1 = _mm_setzero_pd();
    9782             :             v2 = _mm_setzero_pd();
    9783             :         }
    9784             :         for(k=0; k<nb8; k++)
    9785             :         {
    9786             :             /*
    9787             :              * this code is a shuffle of simultaneous dot product.
    9788             :              * see below for commented unshuffled original version.
    9789             :              */
    9790             :             vx  = _mm_load_pd(pb);
    9791             :             va0 = _mm_load_pd(pa0);
    9792             :             va1 = _mm_load_pd(pa1);
    9793             :             va0 = _mm_mul_pd(va0,vx);
    9794             :             va2 = _mm_load_pd(pa2);
    9795             :             v0 = _mm_add_pd(va0,v0);
    9796             :             va1 = _mm_mul_pd(va1,vx);
    9797             :             va0 = _mm_load_pd(pa0+2);
    9798             :             v1 = _mm_add_pd(va1,v1);
    9799             :             va2 = _mm_mul_pd(va2,vx);
    9800             :             va1 = _mm_load_pd(pa1+2);
    9801             :             v2 = _mm_add_pd(va2,v2);
    9802             :             vx  = _mm_load_pd(pb+2);
    9803             :             va0 = _mm_mul_pd(va0,vx);
    9804             :             va2 = _mm_load_pd(pa2+2);
    9805             :             v0 = _mm_add_pd(va0,v0);
    9806             :             va1 = _mm_mul_pd(va1,vx);
    9807             :             va0 = _mm_load_pd(pa0+4);
    9808             :             v1 = _mm_add_pd(va1,v1);
    9809             :             va2 = _mm_mul_pd(va2,vx);
    9810             :             va1 = _mm_load_pd(pa1+4);
    9811             :             v2 = _mm_add_pd(va2,v2);
    9812             :             vx  = _mm_load_pd(pb+4);
    9813             :             va0 = _mm_mul_pd(va0,vx);
    9814             :             va2 = _mm_load_pd(pa2+4);
    9815             :             v0 = _mm_add_pd(va0,v0);
    9816             :             va1 = _mm_mul_pd(va1,vx);
    9817             :             va0 = _mm_load_pd(pa0+6);
    9818             :             v1 = _mm_add_pd(va1,v1);
    9819             :             va2 = _mm_mul_pd(va2,vx);
    9820             :             va1 = _mm_load_pd(pa1+6);
    9821             :             v2 = _mm_add_pd(va2,v2);
    9822             :             vx  = _mm_load_pd(pb+6);
    9823             :             va0 = _mm_mul_pd(va0,vx);
    9824             :             v0 = _mm_add_pd(va0,v0);
    9825             :             va2 = _mm_load_pd(pa2+6);
    9826             :             va1 = _mm_mul_pd(va1,vx);
    9827             :             v1 = _mm_add_pd(va1,v1);
    9828             :             va2 = _mm_mul_pd(va2,vx);
    9829             :             v2 = _mm_add_pd(va2,v2);
    9830             :             
    9831             :             pa0 += 8;
    9832             :             pa1 += 8;
    9833             :             pa2 += 8;
    9834             :             pb += 8;
    9835             : 
    9836             :             /*
    9837             :             this is unshuffled version of code above
    9838             :             
    9839             :             vx  = _mm_load_pd(pb);
    9840             :             va0 = _mm_load_pd(pa0);            
    9841             :             va1 = _mm_load_pd(pa1);
    9842             :             va2 = _mm_load_pd(pa2);
    9843             :             
    9844             :             va0 = _mm_mul_pd(va0,vx);
    9845             :             va1 = _mm_mul_pd(va1,vx);
    9846             :             va2 = _mm_mul_pd(va2,vx);
    9847             :             
    9848             :             v0 = _mm_add_pd(va0,v0);
    9849             :             v1 = _mm_add_pd(va1,v1);
    9850             :             v2 = _mm_add_pd(va2,v2);
    9851             :             
    9852             :             vx  = _mm_load_pd(pb+2);
    9853             :             va0 = _mm_load_pd(pa0+2);            
    9854             :             va1 = _mm_load_pd(pa1+2);
    9855             :             va2 = _mm_load_pd(pa2+2);
    9856             :             
    9857             :             va0 = _mm_mul_pd(va0,vx);
    9858             :             va1 = _mm_mul_pd(va1,vx);
    9859             :             va2 = _mm_mul_pd(va2,vx);
    9860             :             
    9861             :             v0 = _mm_add_pd(va0,v0);
    9862             :             v1 = _mm_add_pd(va1,v1);
    9863             :             v2 = _mm_add_pd(va2,v2);
    9864             : 
    9865             :             vx  = _mm_load_pd(pb+4);
    9866             :             va0 = _mm_load_pd(pa0+4);            
    9867             :             va1 = _mm_load_pd(pa1+4);
    9868             :             va2 = _mm_load_pd(pa2+4);
    9869             :             
    9870             :             va0 = _mm_mul_pd(va0,vx);
    9871             :             va1 = _mm_mul_pd(va1,vx);
    9872             :             va2 = _mm_mul_pd(va2,vx);
    9873             :             
    9874             :             v0 = _mm_add_pd(va0,v0);
    9875             :             v1 = _mm_add_pd(va1,v1);
    9876             :             v2 = _mm_add_pd(va2,v2);
    9877             : 
    9878             :             vx  = _mm_load_pd(pb+6);
    9879             :             va0 = _mm_load_pd(pa0+6);
    9880             :             va1 = _mm_load_pd(pa1+6);
    9881             :             va2 = _mm_load_pd(pa2+6);
    9882             :             
    9883             :             va0 = _mm_mul_pd(va0,vx);
    9884             :             va1 = _mm_mul_pd(va1,vx);
    9885             :             va2 = _mm_mul_pd(va2,vx);
    9886             :             
    9887             :             v0 = _mm_add_pd(va0,v0);
    9888             :             v1 = _mm_add_pd(va1,v1);
    9889             :             v2 = _mm_add_pd(va2,v2);
    9890             :             */
    9891             :         }
    9892             :         for(k=0; k<nb2; k++)
    9893             :         {
    9894             :             vx  = _mm_load_pd(pb);
    9895             :             va0 = _mm_load_pd(pa0);
    9896             :             va1 = _mm_load_pd(pa1);
    9897             :             va2 = _mm_load_pd(pa2);
    9898             :             
    9899             :             va0 = _mm_mul_pd(va0,vx);
    9900             :             v0 = _mm_add_pd(va0,v0);
    9901             :             va1 = _mm_mul_pd(va1,vx);
    9902             :             v1 = _mm_add_pd(va1,v1);
    9903             :             va2 = _mm_mul_pd(va2,vx);
    9904             :             v2 = _mm_add_pd(va2,v2);
    9905             :             
    9906             :             pa0 += 2;
    9907             :             pa1 += 2;
    9908             :             pa2 += 2;
    9909             :             pb += 2;
    9910             :         }
    9911             :         for(k=0; k<ntail; k++)
    9912             :         {
    9913             :             vx  = _mm_load1_pd(pb);
    9914             :             va0 = _mm_load1_pd(pa0);
    9915             :             va1 = _mm_load1_pd(pa1);
    9916             :             va2 = _mm_load1_pd(pa2);
    9917             :             
    9918             :             va0 = _mm_mul_sd(va0,vx);
    9919             :             v0 = _mm_add_sd(v0,va0);
    9920             :             va1 = _mm_mul_sd(va1,vx);
    9921             :             v1 = _mm_add_sd(v1,va1);
    9922             :             va2 = _mm_mul_sd(va2,vx);
    9923             :             v2 = _mm_add_sd(v2,va2);
    9924             :         }        
    9925             :         vtmp = _mm_add_pd(_mm_unpacklo_pd(v0,v1),_mm_unpackhi_pd(v0,v1));
    9926             :         _mm_storel_pd(&row0, vtmp);
    9927             :         _mm_storeh_pd(&row1, vtmp);
    9928             :         v2 = _mm_add_sd(_mm_shuffle_pd(v2,v2,1),v2);
    9929             :         _mm_storel_pd(&row2, v2);
    9930             :         if( beta!=0 )
    9931             :         {
    9932             :             y[0] = beta*y[0]+alpha*row0;
    9933             :             y[stride] = beta*y[stride]+alpha*row1;
    9934             :             y[2*stride] = beta*y[2*stride]+alpha*row2;
    9935             :         }
    9936             :         else
    9937             :         {
    9938             :             y[0] = alpha*row0;
    9939             :             y[stride] = alpha*row1;
    9940             :             y[2*stride] = alpha*row2;
    9941             :         }
    9942             :         y+=3*stride;
    9943             :     }
    9944             :     for(i=0; i<mtail; i++)
    9945             :     {
    9946             :         double row0;
    9947             :         row0 = 0;
    9948             :         pb = x;
    9949             :         pa0 = a;
    9950             :         a += alglib_r_block;
    9951             :         for(k=0; k<n2; k++)
    9952             :         {
    9953             :             row0 += pb[0]*pa0[0]+pb[1]*pa0[1];            
    9954             :             pa0 += 2;
    9955             :             pb += 2;
    9956             :         }
    9957             :         if( n%2 )
    9958             :             row0 += pb[0]*pa0[0];
    9959             :         if( beta!=0 )
    9960             :             y[0] = beta*y[0]+alpha*row0;
    9961             :         else
    9962             :             y[0] = alpha*row0;
    9963             :         y+=stride;
    9964             :     }
    9965             : }
    9966             : #endif
    9967             : 
    9968             : 
    9969             : /*************************************************************************
    9970             : This subroutine calculates fast MxN complex matrix-vector product:
    9971             : 
    9972             :     y := beta*y + alpha*A*x
    9973             : 
    9974             : using generic C code, where A, x, y, alpha and beta are complex.
    9975             : 
    9976             : If beta is zero, we do not use previous values of y (they are  overwritten
    9977             : by alpha*A*x without ever being read). However, when  alpha  is  zero,  we 
    9978             : still calculate A*x and  multiply  it  by  alpha  (this distinction can be
    9979             : important when A or x contain infinities/NANs).
    9980             : 
    9981             : IMPORTANT:
    9982             : * 0<=M<=alglib_c_block, 0<=N<=alglib_c_block
    9983             : * A must be stored in row-major order, as sequence of double precision
    9984             :   pairs. Stride is alglib_c_block (it is measured in pairs of doubles, not
    9985             :   in doubles).
    9986             : * Y may be referenced by cy (pointer to ae_complex) or
    9987             :   dy (pointer to array of double precision pair) depending on what type of 
    9988             :   output you wish. Pass pointer to Y as one of these parameters,
    9989             :   AND SET OTHER PARAMETER TO NULL.
    9990             : * both A and x must be aligned; y may be non-aligned.
    9991             : *************************************************************************/
    9992           0 : void _ialglib_cmv(ae_int_t m, ae_int_t n, const double *a, const double *x, ae_complex *cy, double *dy, ae_int_t stride, ae_complex alpha, ae_complex beta)
    9993             : {
    9994             :     ae_int_t i, j;
    9995             :     const double *pa, *parow, *pb;
    9996             : 
    9997           0 :     parow = a;
    9998           0 :     for(i=0; i<m; i++)
    9999             :     {
   10000           0 :         double v0 = 0, v1 = 0;
   10001           0 :         pa = parow;
   10002           0 :         pb = x;
   10003           0 :         for(j=0; j<n; j++)
   10004             :         {
   10005           0 :             v0 += pa[0]*pb[0];
   10006           0 :             v1 += pa[0]*pb[1];
   10007           0 :             v0 -= pa[1]*pb[1];
   10008           0 :             v1 += pa[1]*pb[0];
   10009             : 
   10010           0 :             pa  += 2;
   10011           0 :             pb  += 2;
   10012             :         }
   10013           0 :         if( cy!=NULL )
   10014             :         {
   10015           0 :             double tx = (beta.x*cy->x-beta.y*cy->y)+(alpha.x*v0-alpha.y*v1);
   10016           0 :             double ty = (beta.x*cy->y+beta.y*cy->x)+(alpha.x*v1+alpha.y*v0);
   10017           0 :             cy->x = tx;
   10018           0 :             cy->y = ty;
   10019           0 :             cy+=stride;
   10020             :         }
   10021             :         else
   10022             :         {
   10023           0 :             double tx = (beta.x*dy[0]-beta.y*dy[1])+(alpha.x*v0-alpha.y*v1);
   10024           0 :             double ty = (beta.x*dy[1]+beta.y*dy[0])+(alpha.x*v1+alpha.y*v0);
   10025           0 :             dy[0] = tx;
   10026           0 :             dy[1] = ty;
   10027           0 :             dy += 2*stride;
   10028             :         }
   10029           0 :         parow += 2*alglib_c_block;
   10030             :     }
   10031           0 : }
   10032             : 
   10033             : 
   10034             : /*************************************************************************
   10035             : This subroutine calculates fast MxN complex matrix-vector product:
   10036             : 
   10037             :     y := beta*y + alpha*A*x
   10038             : 
   10039             : using generic C code, where A, x, y, alpha and beta are complex.
   10040             : 
   10041             : If beta is zero, we do not use previous values of y (they are  overwritten
   10042             : by alpha*A*x without ever being read). However, when  alpha  is  zero,  we 
   10043             : still calculate A*x and  multiply  it  by  alpha  (this distinction can be
   10044             : important when A or x contain infinities/NANs).
   10045             : 
   10046             : IMPORTANT:
   10047             : * 0<=M<=alglib_c_block, 0<=N<=alglib_c_block
   10048             : * A must be stored in row-major order, as sequence of double precision
   10049             :   pairs. Stride is alglib_c_block (it is measured in pairs of doubles, not
   10050             :   in doubles).
   10051             : * Y may be referenced by cy (pointer to ae_complex) or
   10052             :   dy (pointer to array of double precision pair) depending on what type of 
   10053             :   output you wish. Pass pointer to Y as one of these parameters,
   10054             :   AND SET OTHER PARAMETER TO NULL.
   10055             : * both A and x must be aligned; y may be non-aligned.
   10056             : 
   10057             : This function supports SSE2; it can be used when:
   10058             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
   10059             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
   10060             : 
   10061             : If (1) is failed, this function will be undefined. If (2) is failed,  call 
   10062             : to this function will probably crash your system. 
   10063             : 
   10064             : If  you  want  to  know  whether  it  is safe to call it, you should check 
   10065             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
   10066             : and will do its work.
   10067             : *************************************************************************/
   10068             : #if defined(AE_HAS_SSE2_INTRINSICS)
   10069             : void _ialglib_cmv_sse2(ae_int_t m, ae_int_t n, const double *a, const double *x, ae_complex *cy, double *dy, ae_int_t stride, ae_complex alpha, ae_complex beta)
   10070             : {
   10071             :     ae_int_t i, j, m2;
   10072             :     const double *pa0, *pa1, *parow, *pb;
   10073             :     __m128d vbeta, vbetax, vbetay;
   10074             :     __m128d valpha, valphax, valphay;
   10075             :     
   10076             :     m2 = m/2;
   10077             :     parow = a;
   10078             :     if( cy!=NULL )
   10079             :     {
   10080             :         dy = (double*)cy;
   10081             :         cy = NULL;
   10082             :     }
   10083             :     vbeta = _mm_loadh_pd(_mm_load_sd(&beta.x),&beta.y);
   10084             :     vbetax = _mm_unpacklo_pd(vbeta,vbeta);
   10085             :     vbetay = _mm_unpackhi_pd(vbeta,vbeta);
   10086             :     valpha = _mm_loadh_pd(_mm_load_sd(&alpha.x),&alpha.y);
   10087             :     valphax = _mm_unpacklo_pd(valpha,valpha);
   10088             :     valphay = _mm_unpackhi_pd(valpha,valpha);
   10089             :     for(i=0; i<m2; i++)
   10090             :     {
   10091             :         __m128d vx, vy, vt0, vt1, vt2, vt3, vt4, vt5, vrx, vry, vtx, vty;
   10092             :         pa0 = parow;
   10093             :         pa1 = parow+2*alglib_c_block;
   10094             :         pb = x;
   10095             :         vx = _mm_setzero_pd();
   10096             :         vy = _mm_setzero_pd();
   10097             :         for(j=0; j<n; j++)
   10098             :         {
   10099             :             vt0 = _mm_load1_pd(pb);
   10100             :             vt1 = _mm_load1_pd(pb+1);
   10101             :             vt2 = _mm_load_pd(pa0);
   10102             :             vt3 = _mm_load_pd(pa1);
   10103             :             vt5 = _mm_unpacklo_pd(vt2,vt3);
   10104             :             vt4 = _mm_unpackhi_pd(vt2,vt3);
   10105             :             vt2 = vt5;
   10106             :             vt3 = vt4;
   10107             :             
   10108             :             vt2 = _mm_mul_pd(vt2,vt0);
   10109             :             vx = _mm_add_pd(vx,vt2);
   10110             :             vt3 = _mm_mul_pd(vt3,vt1);
   10111             :             vx = _mm_sub_pd(vx,vt3);
   10112             :             vt4 = _mm_mul_pd(vt4,vt0);
   10113             :             vy = _mm_add_pd(vy,vt4);
   10114             :             vt5 = _mm_mul_pd(vt5,vt1);
   10115             :             vy = _mm_add_pd(vy,vt5);
   10116             :             
   10117             :             pa0 += 2;
   10118             :             pa1 += 2;
   10119             :             pb  += 2;
   10120             :         }
   10121             :         if( beta.x==0.0 && beta.y==0.0 )
   10122             :         {
   10123             :             vrx = _mm_setzero_pd();
   10124             :             vry = _mm_setzero_pd();
   10125             :         }
   10126             :         else
   10127             :         {
   10128             :             vtx = _mm_loadh_pd(_mm_load_sd(dy+0),dy+2*stride+0);
   10129             :             vty = _mm_loadh_pd(_mm_load_sd(dy+1),dy+2*stride+1);
   10130             :             vrx = _mm_sub_pd(_mm_mul_pd(vbetax,vtx),_mm_mul_pd(vbetay,vty));
   10131             :             vry = _mm_add_pd(_mm_mul_pd(vbetax,vty),_mm_mul_pd(vbetay,vtx));
   10132             :         }
   10133             :         vtx = _mm_sub_pd(_mm_mul_pd(valphax,vx),_mm_mul_pd(valphay,vy));
   10134             :         vty = _mm_add_pd(_mm_mul_pd(valphax,vy),_mm_mul_pd(valphay,vx));
   10135             :         vrx = _mm_add_pd(vrx,vtx);
   10136             :         vry = _mm_add_pd(vry,vty);
   10137             :         _mm_storel_pd(dy+0,          vrx);
   10138             :         _mm_storeh_pd(dy+2*stride+0, vrx);
   10139             :         _mm_storel_pd(dy+1,          vry);
   10140             :         _mm_storeh_pd(dy+2*stride+1, vry);
   10141             :         dy += 4*stride;        
   10142             :         parow += 4*alglib_c_block;
   10143             :     }
   10144             :     if( m%2 )
   10145             :     {
   10146             :         double v0 = 0, v1 = 0;
   10147             :         double tx, ty;
   10148             :         pa0 = parow;
   10149             :         pb = x;
   10150             :         for(j=0; j<n; j++)
   10151             :         {
   10152             :             v0 += pa0[0]*pb[0];
   10153             :             v1 += pa0[0]*pb[1];
   10154             :             v0 -= pa0[1]*pb[1];
   10155             :             v1 += pa0[1]*pb[0];
   10156             : 
   10157             :             pa0 += 2;
   10158             :             pb  += 2;
   10159             :         }
   10160             :         if( beta.x==0.0 && beta.y==0.0 )
   10161             :         {
   10162             :             tx = 0.0;
   10163             :             ty = 0.0;
   10164             :         }
   10165             :         else
   10166             :         {
   10167             :             tx = beta.x*dy[0]-beta.y*dy[1];
   10168             :             ty = beta.x*dy[1]+beta.y*dy[0];
   10169             :         }
   10170             :         tx += alpha.x*v0-alpha.y*v1;
   10171             :         ty += alpha.x*v1+alpha.y*v0;
   10172             :         dy[0] = tx;
   10173             :         dy[1] = ty;
   10174             :         dy += 2*stride;
   10175             :         parow += 2*alglib_c_block;
   10176             :     }
   10177             : }
   10178             : #endif
   10179             : 
   10180             : /********************************************************************
   10181             : This subroutine sets vector to zero
   10182             : ********************************************************************/
   10183           0 : void _ialglib_vzero(ae_int_t n, double *p, ae_int_t stride)
   10184             : {
   10185             :     ae_int_t i;
   10186           0 :     if( stride==1 )
   10187             :     {
   10188           0 :         for(i=0; i<n; i++,p++)
   10189           0 :             *p = 0.0;
   10190             :     }
   10191             :     else
   10192             :     {
   10193           0 :         for(i=0; i<n; i++,p+=stride)
   10194           0 :             *p = 0.0;
   10195             :     }
   10196           0 : }
   10197             : 
   10198             : /********************************************************************
   10199             : This subroutine sets vector to zero
   10200             : ********************************************************************/
   10201           0 : void _ialglib_vzero_complex(ae_int_t n, ae_complex *p, ae_int_t stride)
   10202             : {
   10203             :     ae_int_t i;
   10204           0 :     if( stride==1 )
   10205             :     {
   10206           0 :         for(i=0; i<n; i++,p++)
   10207             :         {
   10208           0 :             p->x = 0.0;
   10209           0 :             p->y = 0.0;
   10210             :         }
   10211             :     }
   10212             :     else
   10213             :     {
   10214           0 :         for(i=0; i<n; i++,p+=stride)
   10215             :         {
   10216           0 :             p->x = 0.0;
   10217           0 :             p->y = 0.0;
   10218             :         }
   10219             :     }
   10220           0 : }
   10221             : 
   10222             : 
   10223             : /********************************************************************
   10224             : This subroutine copies unaligned real vector
   10225             : ********************************************************************/
   10226           0 : void _ialglib_vcopy(ae_int_t n, const double *a, ae_int_t stridea, double *b, ae_int_t strideb)
   10227             : {
   10228             :     ae_int_t i, n2;
   10229           0 :     if( stridea==1 && strideb==1 )
   10230             :     {
   10231           0 :         n2 = n/2;
   10232           0 :         for(i=n2; i!=0; i--, a+=2, b+=2)
   10233             :         {
   10234           0 :             b[0] = a[0];
   10235           0 :             b[1] = a[1];
   10236             :         }
   10237           0 :         if( n%2!=0 )
   10238           0 :             b[0] = a[0];
   10239             :     }
   10240             :     else
   10241             :     {
   10242           0 :         for(i=0; i<n; i++,a+=stridea,b+=strideb)
   10243           0 :             *b = *a;
   10244             :     }
   10245           0 : }
   10246             : 
   10247             : 
   10248             : /********************************************************************
   10249             : This subroutine copies unaligned complex vector
   10250             : (passed as ae_complex*)
   10251             : 
   10252             : 1. strideb is stride measured in complex numbers, not doubles
   10253             : 2. conj may be "N" (no conj.) or "C" (conj.)
   10254             : ********************************************************************/
   10255           0 : 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)
   10256             : {
   10257             :     ae_int_t i;
   10258             : 
   10259             :     /*
   10260             :      * more general case
   10261             :      */
   10262           0 :     if( conj[0]=='N' || conj[0]=='n' )
   10263             :     {
   10264           0 :         for(i=0; i<n; i++,a+=stridea,b+=2*strideb)
   10265             :         {
   10266           0 :             b[0] = a->x;
   10267           0 :             b[1] = a->y;
   10268             :         }
   10269             :     }
   10270             :     else
   10271             :     {
   10272           0 :         for(i=0; i<n; i++,a+=stridea,b+=2*strideb)
   10273             :         {
   10274           0 :             b[0] = a->x;
   10275           0 :             b[1] = -a->y;
   10276             :         }
   10277             :     }
   10278           0 : }
   10279             : 
   10280             : 
   10281             : /********************************************************************
   10282             : This subroutine copies unaligned complex vector (passed as double*)
   10283             : 
   10284             : 1. strideb is stride measured in complex numbers, not doubles
   10285             : 2. conj may be "N" (no conj.) or "C" (conj.)
   10286             : ********************************************************************/
   10287           0 : void _ialglib_vcopy_dcomplex(ae_int_t n, const double *a, ae_int_t stridea, double *b, ae_int_t strideb, const char *conj)
   10288             : {
   10289             :     ae_int_t i;
   10290             : 
   10291             :     /*
   10292             :      * more general case
   10293             :      */
   10294           0 :     if( conj[0]=='N' || conj[0]=='n' )
   10295             :     {
   10296           0 :         for(i=0; i<n; i++,a+=2*stridea,b+=2*strideb)
   10297             :         {
   10298           0 :             b[0] = a[0];
   10299           0 :             b[1] = a[1];
   10300             :         }
   10301             :     }
   10302             :     else
   10303             :     {
   10304           0 :         for(i=0; i<n; i++,a+=2*stridea,b+=2*strideb)
   10305             :         {
   10306           0 :             b[0] = a[0];
   10307           0 :             b[1] = -a[1];
   10308             :         }
   10309             :     }
   10310           0 : }
   10311             : 
   10312             : 
   10313             : /********************************************************************
   10314             : This subroutine copies matrix from  non-aligned non-contigous storage
   10315             : to aligned contigous storage
   10316             : 
   10317             : A:
   10318             : * MxN
   10319             : * non-aligned
   10320             : * non-contigous
   10321             : * may be transformed during copying (as prescribed by op)
   10322             : 
   10323             : B:
   10324             : * alglib_r_block*alglib_r_block (only MxN/NxM submatrix is used)
   10325             : * aligned
   10326             : * stride is alglib_r_block
   10327             : 
   10328             : Transformation types:
   10329             : * 0 - no transform
   10330             : * 1 - transposition
   10331             : ********************************************************************/
   10332           0 : void _ialglib_mcopyblock(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, ae_int_t stride, double *b)
   10333             : {
   10334             :     ae_int_t i, j, n2;
   10335             :     const double *psrc;
   10336             :     double *pdst;
   10337           0 :     if( op==0 )
   10338             :     {
   10339           0 :         n2 = n/2;
   10340           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=alglib_r_block,psrc=a)
   10341             :         {
   10342           0 :             for(j=0,pdst=b; j<n2; j++,pdst+=2,psrc+=2)
   10343             :             {
   10344           0 :                 pdst[0] = psrc[0];
   10345           0 :                 pdst[1] = psrc[1];
   10346             :             }
   10347           0 :             if( n%2!=0 )
   10348           0 :                 pdst[0] = psrc[0];
   10349             :         }
   10350             :     }
   10351             :     else
   10352             :     {
   10353           0 :         n2 = n/2;
   10354           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=1,psrc=a)
   10355             :         {
   10356           0 :             for(j=0,pdst=b; j<n2; j++,pdst+=alglib_twice_r_block,psrc+=2)
   10357             :             {
   10358           0 :                 pdst[0] = psrc[0];
   10359           0 :                 pdst[alglib_r_block] = psrc[1];
   10360             :             }
   10361           0 :             if( n%2!=0 )
   10362           0 :                 pdst[0] = psrc[0];
   10363             :         }
   10364             :     }
   10365           0 : }
   10366             : 
   10367             : 
   10368             : /********************************************************************
   10369             : This subroutine copies matrix from  non-aligned non-contigous storage
   10370             : to aligned contigous storage
   10371             : 
   10372             : A:
   10373             : * MxN
   10374             : * non-aligned
   10375             : * non-contigous
   10376             : * may be transformed during copying (as prescribed by op)
   10377             : 
   10378             : B:
   10379             : * alglib_r_block*alglib_r_block (only MxN/NxM submatrix is used)
   10380             : * aligned
   10381             : * stride is alglib_r_block
   10382             : 
   10383             : Transformation types:
   10384             : * 0 - no transform
   10385             : * 1 - transposition
   10386             : 
   10387             : This function supports SSE2; it can be used when:
   10388             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
   10389             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
   10390             : 
   10391             : If (1) is failed, this function will be undefined. If (2) is failed,  call 
   10392             : to this function will probably crash your system. 
   10393             : 
   10394             : If  you  want  to  know  whether  it  is safe to call it, you should check 
   10395             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
   10396             : and will do its work.
   10397             : ********************************************************************/
   10398             : #if defined(AE_HAS_SSE2_INTRINSICS)
   10399             : void _ialglib_mcopyblock_sse2(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, ae_int_t stride, double *b)
   10400             : {
   10401             :     ae_int_t i, j, mb2;
   10402             :     const double *psrc0, *psrc1;
   10403             :     double *pdst;
   10404             :     if( op==0 )
   10405             :     {
   10406             :         ae_int_t nb8, ntail;
   10407             :         nb8 = n/8;
   10408             :         ntail = n-8*nb8;
   10409             :         for(i=0,psrc0=a; i<m; i++,a+=stride,b+=alglib_r_block,psrc0=a)
   10410             :         {
   10411             :             pdst=b;
   10412             :             for(j=0; j<nb8; j++)
   10413             :             {
   10414             :                 __m128d v0, v1;
   10415             :                 v0 = _mm_loadu_pd(psrc0);
   10416             :                 _mm_store_pd(pdst, v0);
   10417             :                 v1 = _mm_loadu_pd(psrc0+2);
   10418             :                 _mm_store_pd(pdst+2, v1);
   10419             :                 v1 = _mm_loadu_pd(psrc0+4);
   10420             :                 _mm_store_pd(pdst+4, v1);
   10421             :                 v1 = _mm_loadu_pd(psrc0+6);
   10422             :                 _mm_store_pd(pdst+6, v1);
   10423             :                 pdst+=8;
   10424             :                 psrc0+=8;
   10425             :             }
   10426             :             for(j=0; j<ntail; j++)
   10427             :                 pdst[j] = psrc0[j];
   10428             :         }
   10429             :     }
   10430             :     else
   10431             :     {
   10432             :         const double *arow0, *arow1;
   10433             :         double *bcol0, *bcol1, *pdst0, *pdst1;
   10434             :         ae_int_t nb4, ntail, n2;
   10435             :                 
   10436             :         n2 = n/2;
   10437             :         mb2 = m/2;
   10438             :         nb4 = n/4;
   10439             :         ntail = n-4*nb4;
   10440             :         
   10441             :         arow0 = a;
   10442             :         arow1 = a+stride;
   10443             :         bcol0 = b;
   10444             :         bcol1 = b+1;
   10445             :         for(i=0; i<mb2; i++)
   10446             :         {
   10447             :             psrc0 = arow0;
   10448             :             psrc1 = arow1;
   10449             :             pdst0 = bcol0;
   10450             :             pdst1 = bcol1;
   10451             :             for(j=0; j<nb4; j++)
   10452             :             {
   10453             :                 __m128d v0, v1, v2, v3;
   10454             :                 v0 = _mm_loadu_pd(psrc0);
   10455             :                 v1 = _mm_loadu_pd(psrc1);
   10456             :                 v2 = _mm_loadu_pd(psrc0+2);
   10457             :                 v3 = _mm_loadu_pd(psrc1+2);
   10458             :                 _mm_store_pd(pdst0, _mm_unpacklo_pd(v0,v1));
   10459             :                 _mm_store_pd(pdst0+alglib_r_block, _mm_unpackhi_pd(v0,v1));                
   10460             :                 _mm_store_pd(pdst0+2*alglib_r_block, _mm_unpacklo_pd(v2,v3));
   10461             :                 _mm_store_pd(pdst0+3*alglib_r_block, _mm_unpackhi_pd(v2,v3));
   10462             : 
   10463             :                 pdst0 += 4*alglib_r_block;
   10464             :                 pdst1 += 4*alglib_r_block;
   10465             :                 psrc0 += 4;
   10466             :                 psrc1 += 4;
   10467             :             }
   10468             :             for(j=0; j<ntail; j++)
   10469             :             {
   10470             :                 pdst0[0] = psrc0[0];
   10471             :                 pdst1[0] = psrc1[0];
   10472             :                 pdst0 += alglib_r_block;
   10473             :                 pdst1 += alglib_r_block;
   10474             :                 psrc0 += 1;
   10475             :                 psrc1 += 1;
   10476             :             }
   10477             :             arow0 += 2*stride;
   10478             :             arow1 += 2*stride;
   10479             :             bcol0 += 2;
   10480             :             bcol1 += 2;
   10481             :         }
   10482             :         if( m%2 )
   10483             :         {
   10484             :             psrc0 = arow0;
   10485             :             pdst0 = bcol0;
   10486             :             for(j=0; j<n2; j++)
   10487             :             {
   10488             :                 pdst0[0] = psrc0[0];
   10489             :                 pdst0[alglib_r_block] = psrc0[1];
   10490             :                 pdst0 += alglib_twice_r_block;
   10491             :                 psrc0 += 2;
   10492             :             }
   10493             :             if( n%2!=0 )
   10494             :                 pdst0[0] = psrc0[0];
   10495             :         }
   10496             :     }
   10497             : }
   10498             : #endif
   10499             : 
   10500             : 
   10501             : /********************************************************************
   10502             : This subroutine copies matrix from  aligned contigous storage to non-
   10503             : aligned non-contigous storage
   10504             : 
   10505             : A:
   10506             : * MxN
   10507             : * aligned
   10508             : * contigous
   10509             : * stride is alglib_r_block
   10510             : * may be transformed during copying (as prescribed by op)
   10511             : 
   10512             : B:
   10513             : * alglib_r_block*alglib_r_block (only MxN/NxM submatrix is used)
   10514             : * non-aligned, non-contigous
   10515             : 
   10516             : Transformation types:
   10517             : * 0 - no transform
   10518             : * 1 - transposition
   10519             : ********************************************************************/
   10520           0 : void _ialglib_mcopyunblock(ae_int_t m, ae_int_t n, const double *a, ae_int_t op, double *b, ae_int_t stride)
   10521             : {
   10522             :     ae_int_t i, j, n2;
   10523             :     const double *psrc;
   10524             :     double *pdst;
   10525           0 :     if( op==0 )
   10526             :     {
   10527           0 :         n2 = n/2;
   10528           0 :         for(i=0,psrc=a; i<m; i++,a+=alglib_r_block,b+=stride,psrc=a)
   10529             :         {
   10530           0 :             for(j=0,pdst=b; j<n2; j++,pdst+=2,psrc+=2)
   10531             :             {
   10532           0 :                 pdst[0] = psrc[0];
   10533           0 :                 pdst[1] = psrc[1];
   10534             :             }
   10535           0 :             if( n%2!=0 )
   10536           0 :                 pdst[0] = psrc[0];
   10537             :         }
   10538             :     }
   10539             :     else
   10540             :     {
   10541           0 :         n2 = n/2;
   10542           0 :         for(i=0,psrc=a; i<m; i++,a++,b+=stride,psrc=a)
   10543             :         {
   10544           0 :             for(j=0,pdst=b; j<n2; j++,pdst+=2,psrc+=alglib_twice_r_block)
   10545             :             {
   10546           0 :                 pdst[0] = psrc[0];
   10547           0 :                 pdst[1] = psrc[alglib_r_block];
   10548             :             }
   10549           0 :             if( n%2!=0 )
   10550           0 :                 pdst[0] = psrc[0];
   10551             :         }
   10552             :     }
   10553           0 : }
   10554             : 
   10555             : 
   10556             : /********************************************************************
   10557             : This subroutine copies matrix from  non-aligned non-contigous storage
   10558             : to aligned contigous storage
   10559             : 
   10560             : A:
   10561             : * MxN
   10562             : * non-aligned
   10563             : * non-contigous
   10564             : * may be transformed during copying (as prescribed by op)
   10565             : * pointer to ae_complex is passed
   10566             : 
   10567             : B:
   10568             : * 2*alglib_c_block*alglib_c_block doubles (only MxN/NxM submatrix is used)
   10569             : * aligned
   10570             : * stride is alglib_c_block
   10571             : * pointer to double is passed
   10572             : 
   10573             : Transformation types:
   10574             : * 0 - no transform
   10575             : * 1 - transposition
   10576             : * 2 - conjugate transposition
   10577             : * 3 - conjugate, but no  transposition
   10578             : ********************************************************************/
   10579           0 : 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)
   10580             : {
   10581             :     ae_int_t i, j;
   10582             :     const ae_complex *psrc;
   10583             :     double *pdst;
   10584           0 :     if( op==0 )
   10585             :     {
   10586           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=alglib_twice_c_block,psrc=a)
   10587           0 :             for(j=0,pdst=b; j<n; j++,pdst+=2,psrc++)
   10588             :             {
   10589           0 :                 pdst[0] = psrc->x;
   10590           0 :                 pdst[1] = psrc->y;
   10591             :             }
   10592             :     }
   10593           0 :     if( op==1 )
   10594             :     {
   10595           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=2,psrc=a)
   10596           0 :             for(j=0,pdst=b; j<n; j++,pdst+=alglib_twice_c_block,psrc++)
   10597             :             {
   10598           0 :                 pdst[0] = psrc->x;
   10599           0 :                 pdst[1] = psrc->y;
   10600             :             }
   10601             :     }
   10602           0 :     if( op==2 )
   10603             :     {
   10604           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=2,psrc=a)
   10605           0 :             for(j=0,pdst=b; j<n; j++,pdst+=alglib_twice_c_block,psrc++)
   10606             :             {
   10607           0 :                 pdst[0] = psrc->x;
   10608           0 :                 pdst[1] = -psrc->y;
   10609             :             }
   10610             :     }
   10611           0 :     if( op==3 )
   10612             :     {
   10613           0 :         for(i=0,psrc=a; i<m; i++,a+=stride,b+=alglib_twice_c_block,psrc=a)
   10614           0 :             for(j=0,pdst=b; j<n; j++,pdst+=2,psrc++)
   10615             :             {
   10616           0 :                 pdst[0] = psrc->x;
   10617           0 :                 pdst[1] = -psrc->y;
   10618             :             }
   10619             :     }
   10620           0 : }
   10621             : 
   10622             : 
   10623             : /********************************************************************
   10624             : This subroutine copies matrix from aligned contigous storage to
   10625             : non-aligned non-contigous storage
   10626             : 
   10627             : A:
   10628             : * 2*alglib_c_block*alglib_c_block doubles (only MxN submatrix is used)
   10629             : * aligned
   10630             : * stride is alglib_c_block
   10631             : * pointer to double is passed
   10632             : * may be transformed during copying (as prescribed by op)
   10633             : 
   10634             : B:
   10635             : * MxN
   10636             : * non-aligned
   10637             : * non-contigous
   10638             : * pointer to ae_complex is passed
   10639             : 
   10640             : Transformation types:
   10641             : * 0 - no transform
   10642             : * 1 - transposition
   10643             : * 2 - conjugate transposition
   10644             : * 3 - conjugate, but no  transposition
   10645             : ********************************************************************/
   10646           0 : 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)
   10647             : {
   10648             :     ae_int_t i, j;
   10649             :     const double *psrc;
   10650             :     ae_complex *pdst;
   10651           0 :     if( op==0 )
   10652             :     {
   10653           0 :         for(i=0,psrc=a; i<m; i++,a+=alglib_twice_c_block,b+=stride,psrc=a)
   10654           0 :             for(j=0,pdst=b; j<n; j++,pdst++,psrc+=2)
   10655             :             {
   10656           0 :                 pdst->x = psrc[0];
   10657           0 :                 pdst->y = psrc[1];
   10658             :             }
   10659             :     }
   10660           0 :     if( op==1 )
   10661             :     {
   10662           0 :         for(i=0,psrc=a; i<m; i++,a+=2,b+=stride,psrc=a)
   10663           0 :             for(j=0,pdst=b; j<n; j++,pdst++,psrc+=alglib_twice_c_block)
   10664             :             {
   10665           0 :                 pdst->x = psrc[0];
   10666           0 :                 pdst->y = psrc[1];
   10667             :             }
   10668             :     }
   10669           0 :     if( op==2 )
   10670             :     {
   10671           0 :         for(i=0,psrc=a; i<m; i++,a+=2,b+=stride,psrc=a)
   10672           0 :             for(j=0,pdst=b; j<n; j++,pdst++,psrc+=alglib_twice_c_block)
   10673             :             {
   10674           0 :                 pdst->x = psrc[0];
   10675           0 :                 pdst->y = -psrc[1];
   10676             :             }
   10677             :     }
   10678           0 :     if( op==3 )
   10679             :     {
   10680           0 :         for(i=0,psrc=a; i<m; i++,a+=alglib_twice_c_block,b+=stride,psrc=a)
   10681           0 :             for(j=0,pdst=b; j<n; j++,pdst++,psrc+=2)
   10682             :             {
   10683           0 :                 pdst->x = psrc[0];
   10684           0 :                 pdst->y = -psrc[1];
   10685             :             }
   10686             :     }
   10687           0 : }
   10688             : 
   10689             : 
   10690             : /********************************************************************
   10691             : Real GEMM kernel
   10692             : ********************************************************************/
   10693           0 : ae_bool _ialglib_rmatrixgemm(ae_int_t m,
   10694             :      ae_int_t n,
   10695             :      ae_int_t k,
   10696             :      double alpha,
   10697             :      double *_a,
   10698             :      ae_int_t _a_stride,
   10699             :      ae_int_t optypea,
   10700             :      double *_b,
   10701             :      ae_int_t _b_stride,
   10702             :      ae_int_t optypeb,
   10703             :      double beta,
   10704             :      double *_c,
   10705             :      ae_int_t _c_stride)
   10706             : {
   10707             :     int i;
   10708             :     double *crow;
   10709             :     double _abuf[alglib_r_block+alglib_simd_alignment];
   10710             :     double _bbuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   10711           0 :     double * const abuf = (double * ) ae_align(_abuf,alglib_simd_alignment);
   10712           0 :     double * const b    = (double * ) ae_align(_bbuf,alglib_simd_alignment);
   10713           0 :     void (*rmv)(ae_int_t, ae_int_t, const double *, const double *, double *, ae_int_t, double, double) = &_ialglib_rmv;
   10714           0 :     void (*mcopyblock)(ae_int_t, ae_int_t, const double *, ae_int_t, ae_int_t, double *) = &_ialglib_mcopyblock;
   10715             :     
   10716           0 :     if( m>alglib_r_block || n>alglib_r_block || k>alglib_r_block || m<=0 || n<=0 || k<=0 || alpha==0.0 )
   10717           0 :         return ae_false;
   10718             : 
   10719             :     /*
   10720             :      * Check for SSE2 support
   10721             :      */
   10722             : #ifdef AE_HAS_SSE2_INTRINSICS
   10723             :     if( ae_cpuid() & CPU_SSE2 )
   10724             :     {
   10725             :         rmv = &_ialglib_rmv_sse2;
   10726             :         mcopyblock = &_ialglib_mcopyblock_sse2;
   10727             :     }
   10728             : #endif
   10729             :     
   10730             :     /*
   10731             :      * copy b
   10732             :      */
   10733           0 :     if( optypeb==0 )
   10734           0 :         mcopyblock(k, n, _b, 1, _b_stride, b);
   10735             :     else
   10736           0 :         mcopyblock(n, k, _b, 0, _b_stride, b);
   10737             : 
   10738             :     /*
   10739             :      * multiply B by A (from the right, by rows)
   10740             :      * and store result in C
   10741             :      */
   10742           0 :     crow  = _c;
   10743           0 :     if( optypea==0 )
   10744             :     {
   10745           0 :         const double *arow = _a;
   10746           0 :         for(i=0; i<m; i++)
   10747             :         {
   10748           0 :             _ialglib_vcopy(k, arow, 1, abuf, 1);
   10749           0 :             if( beta==0 )
   10750           0 :                 _ialglib_vzero(n, crow, 1);
   10751           0 :             rmv(n, k, b, abuf, crow, 1, alpha, beta);
   10752           0 :             crow += _c_stride;
   10753           0 :             arow += _a_stride;
   10754             :         }
   10755             :     }
   10756             :     else
   10757             :     {
   10758           0 :         const double *acol = _a;
   10759           0 :         for(i=0; i<m; i++)
   10760             :         {
   10761           0 :             _ialglib_vcopy(k, acol, _a_stride, abuf, 1);
   10762           0 :             if( beta==0 )
   10763           0 :                 _ialglib_vzero(n, crow, 1);
   10764           0 :             rmv(n, k, b, abuf, crow, 1, alpha, beta);
   10765           0 :             crow += _c_stride;
   10766           0 :             acol++;
   10767             :         }
   10768             :     }
   10769           0 :     return ae_true;
   10770             : }
   10771             : 
   10772             : 
   10773             : /********************************************************************
   10774             : Complex GEMM kernel
   10775             : ********************************************************************/
   10776           0 : ae_bool _ialglib_cmatrixgemm(ae_int_t m,
   10777             :      ae_int_t n,
   10778             :      ae_int_t k,
   10779             :      ae_complex alpha,
   10780             :      ae_complex *_a,
   10781             :      ae_int_t _a_stride,
   10782             :      ae_int_t optypea,
   10783             :      ae_complex *_b,
   10784             :      ae_int_t _b_stride,
   10785             :      ae_int_t optypeb,
   10786             :      ae_complex beta,
   10787             :      ae_complex *_c,
   10788             :      ae_int_t _c_stride)
   10789             :  {
   10790             :     const ae_complex *arow;
   10791             :     ae_complex *crow;
   10792             :     ae_int_t i;
   10793             :     double _loc_abuf[2*alglib_c_block+alglib_simd_alignment];
   10794             :     double _loc_b[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   10795           0 :     double * const abuf = (double *)ae_align(_loc_abuf,alglib_simd_alignment);
   10796           0 :     double * const b    = (double *)ae_align(_loc_b,   alglib_simd_alignment);
   10797             :     ae_int_t brows;
   10798             :     ae_int_t bcols;
   10799           0 :     void (*cmv)(ae_int_t, ae_int_t, const double *, const double *, ae_complex *, double *, ae_int_t, ae_complex, ae_complex) = &_ialglib_cmv;
   10800             :     
   10801           0 :     if( m>alglib_c_block || n>alglib_c_block || k>alglib_c_block )
   10802           0 :         return ae_false;
   10803             : 
   10804             :     /*
   10805             :      * Check for SSE2 support
   10806             :      */
   10807             : #ifdef AE_HAS_SSE2_INTRINSICS
   10808             :     if( ae_cpuid() & CPU_SSE2 )
   10809             :     {
   10810             :         cmv = &_ialglib_cmv_sse2;
   10811             :     }    
   10812             : #endif
   10813             :     
   10814             :     /*
   10815             :      * copy b
   10816             :      */
   10817           0 :     brows = optypeb==0 ? k : n;
   10818           0 :     bcols = optypeb==0 ? n : k;
   10819           0 :     if( optypeb==0 )
   10820           0 :         _ialglib_mcopyblock_complex(brows, bcols, _b, 1, _b_stride, b);
   10821           0 :     if( optypeb==1 )
   10822           0 :         _ialglib_mcopyblock_complex(brows, bcols, _b, 0, _b_stride, b);
   10823           0 :     if( optypeb==2 )
   10824           0 :         _ialglib_mcopyblock_complex(brows, bcols, _b, 3, _b_stride, b);
   10825             : 
   10826             :     /*
   10827             :      * multiply B by A (from the right, by rows)
   10828             :      * and store result in C
   10829             :      */
   10830           0 :     arow  = _a;
   10831           0 :     crow  = _c;
   10832           0 :     for(i=0; i<m; i++)
   10833             :     {
   10834           0 :         if( optypea==0 )
   10835             :         {
   10836           0 :             _ialglib_vcopy_complex(k, arow, 1, abuf, 1, "No conj");
   10837           0 :             arow += _a_stride;
   10838             :         }
   10839           0 :         else if( optypea==1 )
   10840             :         {
   10841           0 :             _ialglib_vcopy_complex(k, arow, _a_stride, abuf, 1, "No conj");
   10842           0 :             arow++;
   10843             :         }
   10844             :         else
   10845             :         {
   10846           0 :             _ialglib_vcopy_complex(k, arow, _a_stride, abuf, 1, "Conj");
   10847           0 :             arow++;
   10848             :         }
   10849           0 :         if( beta.x==0 && beta.y==0 )
   10850           0 :             _ialglib_vzero_complex(n, crow, 1);
   10851           0 :         cmv(n, k, b, abuf, crow, NULL, 1, alpha, beta);
   10852           0 :         crow += _c_stride;
   10853             :     }
   10854           0 :     return ae_true;
   10855             : }
   10856             : 
   10857             : 
   10858             : /********************************************************************
   10859             : complex TRSM kernel
   10860             : ********************************************************************/
   10861           0 : ae_bool _ialglib_cmatrixrighttrsm(ae_int_t m,
   10862             :      ae_int_t n,
   10863             :      ae_complex *_a,
   10864             :      ae_int_t _a_stride,
   10865             :      ae_bool isupper,
   10866             :      ae_bool isunit,
   10867             :      ae_int_t optype,
   10868             :      ae_complex *_x,
   10869             :      ae_int_t _x_stride)
   10870             : {
   10871             :     /*
   10872             :      * local buffers
   10873             :      */
   10874             :     double *pdiag;
   10875             :     ae_int_t i;
   10876             :     double _loc_abuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   10877             :     double _loc_xbuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   10878             :     double _loc_tmpbuf[2*alglib_c_block+alglib_simd_alignment];
   10879           0 :     double * const abuf   = (double*)ae_align(_loc_abuf,  alglib_simd_alignment);
   10880           0 :     double * const xbuf   = (double*)ae_align(_loc_xbuf,  alglib_simd_alignment);
   10881           0 :     double * const tmpbuf = (double*)ae_align(_loc_tmpbuf,alglib_simd_alignment);
   10882             :     ae_bool uppera;
   10883           0 :     void (*cmv)(ae_int_t, ae_int_t, const double *, const double *, ae_complex *, double *, ae_int_t, ae_complex, ae_complex) = &_ialglib_cmv;
   10884             :     
   10885           0 :     if( m>alglib_c_block || n>alglib_c_block )
   10886           0 :         return ae_false;
   10887             : 
   10888             :     /*
   10889             :      * Check for SSE2 support
   10890             :      */
   10891             : #ifdef AE_HAS_SSE2_INTRINSICS
   10892             :     if( ae_cpuid() & CPU_SSE2 )
   10893             :     {
   10894             :         cmv = &_ialglib_cmv_sse2;
   10895             :     }    
   10896             : #endif
   10897             :     
   10898             :     /*
   10899             :      * Prepare
   10900             :      */
   10901           0 :     _ialglib_mcopyblock_complex(n, n, _a, optype, _a_stride, abuf);
   10902           0 :     _ialglib_mcopyblock_complex(m, n, _x, 0, _x_stride, xbuf);
   10903           0 :     if( isunit )
   10904           0 :         for(i=0,pdiag=abuf; i<n; i++,pdiag+=2*(alglib_c_block+1))
   10905             :         {
   10906           0 :             pdiag[0] = 1.0;
   10907           0 :             pdiag[1] = 0.0;
   10908             :         }
   10909           0 :     if( optype==0 )
   10910           0 :         uppera = isupper;
   10911             :     else
   10912           0 :         uppera = !isupper;
   10913             : 
   10914             :     /*
   10915             :      * Solve Y*A^-1=X where A is upper or lower triangular
   10916             :      */
   10917           0 :     if( uppera )
   10918             :     {
   10919           0 :         for(i=0,pdiag=abuf; i<n; i++,pdiag+=2*(alglib_c_block+1))
   10920             :         {
   10921             :             ae_complex tmp_c;
   10922             :             ae_complex beta;
   10923             :             ae_complex alpha;
   10924           0 :             tmp_c.x = pdiag[0];
   10925           0 :             tmp_c.y = pdiag[1];
   10926           0 :             beta = ae_c_d_div(1.0, tmp_c);
   10927           0 :             alpha.x = -beta.x;
   10928           0 :             alpha.y = -beta.y;
   10929           0 :             _ialglib_vcopy_dcomplex(i, abuf+2*i, alglib_c_block, tmpbuf, 1, "No conj");
   10930           0 :             cmv(m, i, xbuf, tmpbuf, NULL, xbuf+2*i, alglib_c_block, alpha, beta);
   10931             :         }
   10932           0 :         _ialglib_mcopyunblock_complex(m, n, xbuf, 0, _x, _x_stride);
   10933             :     }
   10934             :     else
   10935             :     {
   10936           0 :         for(i=n-1,pdiag=abuf+2*((n-1)*alglib_c_block+(n-1)); i>=0; i--,pdiag-=2*(alglib_c_block+1))
   10937             :         {
   10938             :             ae_complex tmp_c;
   10939             :             ae_complex beta;
   10940             :             ae_complex alpha;
   10941           0 :             tmp_c.x = pdiag[0];
   10942           0 :             tmp_c.y = pdiag[1];
   10943           0 :             beta = ae_c_d_div(1.0, tmp_c);
   10944           0 :             alpha.x = -beta.x;
   10945           0 :             alpha.y = -beta.y;
   10946           0 :             _ialglib_vcopy_dcomplex(n-1-i, pdiag+2*alglib_c_block, alglib_c_block, tmpbuf, 1, "No conj");
   10947           0 :             cmv(m, n-1-i, xbuf+2*(i+1), tmpbuf, NULL, xbuf+2*i, alglib_c_block, alpha, beta);
   10948             :         }
   10949           0 :         _ialglib_mcopyunblock_complex(m, n, xbuf, 0, _x, _x_stride);
   10950             :     }
   10951           0 :     return ae_true;
   10952             : }
   10953             : 
   10954             : 
   10955             : /********************************************************************
   10956             : real TRSM kernel
   10957             : ********************************************************************/
   10958           0 : ae_bool _ialglib_rmatrixrighttrsm(ae_int_t m,
   10959             :      ae_int_t n,
   10960             :      double *_a,
   10961             :      ae_int_t _a_stride,
   10962             :      ae_bool isupper,
   10963             :      ae_bool isunit,
   10964             :      ae_int_t optype,
   10965             :      double *_x,
   10966             :      ae_int_t _x_stride)
   10967             : {
   10968             :     /*
   10969             :      * local buffers
   10970             :      */
   10971             :     double *pdiag;
   10972             :     ae_int_t i;
   10973             :     double _loc_abuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   10974             :     double _loc_xbuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   10975             :     double _loc_tmpbuf[alglib_r_block+alglib_simd_alignment];
   10976           0 :     double * const abuf   = (double *) ae_align(_loc_abuf,  alglib_simd_alignment);
   10977           0 :     double * const xbuf   = (double *) ae_align(_loc_xbuf,  alglib_simd_alignment);
   10978           0 :     double * const tmpbuf = (double *) ae_align(_loc_tmpbuf,alglib_simd_alignment);
   10979             :     ae_bool uppera;
   10980           0 :     void (*rmv)(ae_int_t, ae_int_t, const double *, const double *, double *, ae_int_t, double, double) = &_ialglib_rmv;
   10981           0 :     void (*mcopyblock)(ae_int_t, ae_int_t, const double *, ae_int_t, ae_int_t, double *) = &_ialglib_mcopyblock;
   10982             :     
   10983           0 :     if( m>alglib_r_block || n>alglib_r_block )
   10984           0 :         return ae_false;
   10985             : 
   10986             :     /*
   10987             :      * Check for SSE2 support
   10988             :      */
   10989             : #ifdef AE_HAS_SSE2_INTRINSICS
   10990             :     if( ae_cpuid() & CPU_SSE2 )
   10991             :     {
   10992             :         rmv = &_ialglib_rmv_sse2;
   10993             :         mcopyblock = &_ialglib_mcopyblock_sse2;
   10994             :     }    
   10995             : #endif
   10996             :     
   10997             :     /*
   10998             :      * Prepare
   10999             :      */
   11000           0 :     mcopyblock(n, n, _a, optype, _a_stride, abuf);
   11001           0 :     mcopyblock(m, n, _x, 0, _x_stride, xbuf);
   11002           0 :     if( isunit )
   11003           0 :         for(i=0,pdiag=abuf; i<n; i++,pdiag+=alglib_r_block+1)
   11004           0 :             *pdiag = 1.0;
   11005           0 :     if( optype==0 )
   11006           0 :         uppera = isupper;
   11007             :     else
   11008           0 :         uppera = !isupper;
   11009             : 
   11010             :     /*
   11011             :      * Solve Y*A^-1=X where A is upper or lower triangular
   11012             :      */
   11013           0 :     if( uppera )
   11014             :     {
   11015           0 :         for(i=0,pdiag=abuf; i<n; i++,pdiag+=alglib_r_block+1)
   11016             :         {
   11017           0 :             double beta  = 1.0/(*pdiag);
   11018           0 :             double alpha = -beta;
   11019           0 :             _ialglib_vcopy(i, abuf+i, alglib_r_block, tmpbuf, 1);
   11020           0 :             rmv(m, i, xbuf, tmpbuf, xbuf+i, alglib_r_block, alpha, beta);
   11021             :         }
   11022           0 :         _ialglib_mcopyunblock(m, n, xbuf, 0, _x, _x_stride);
   11023             :     }
   11024             :     else
   11025             :     {
   11026           0 :         for(i=n-1,pdiag=abuf+(n-1)*alglib_r_block+(n-1); i>=0; i--,pdiag-=alglib_r_block+1)
   11027             :         {
   11028           0 :             double beta = 1.0/(*pdiag);
   11029           0 :             double alpha = -beta;
   11030           0 :             _ialglib_vcopy(n-1-i, pdiag+alglib_r_block, alglib_r_block, tmpbuf+i+1, 1);
   11031           0 :             rmv(m, n-1-i, xbuf+i+1, tmpbuf+i+1, xbuf+i, alglib_r_block, alpha, beta);
   11032             :         }
   11033           0 :         _ialglib_mcopyunblock(m, n, xbuf, 0, _x, _x_stride);
   11034             :     }
   11035           0 :     return ae_true;
   11036             : }
   11037             : 
   11038             : 
   11039             : /********************************************************************
   11040             : complex TRSM kernel
   11041             : ********************************************************************/
   11042           0 : ae_bool _ialglib_cmatrixlefttrsm(ae_int_t m,
   11043             :      ae_int_t n,
   11044             :      ae_complex *_a,
   11045             :      ae_int_t _a_stride,
   11046             :      ae_bool isupper,
   11047             :      ae_bool isunit,
   11048             :      ae_int_t optype,
   11049             :      ae_complex *_x,
   11050             :      ae_int_t _x_stride)
   11051             : {
   11052             :     /*
   11053             :      * local buffers
   11054             :      */
   11055             :     double *pdiag, *arow;
   11056             :     ae_int_t i;
   11057             :     double _loc_abuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   11058             :     double _loc_xbuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   11059             :     double _loc_tmpbuf[2*alglib_c_block+alglib_simd_alignment];
   11060           0 :     double * const abuf   = (double *) ae_align(_loc_abuf,  alglib_simd_alignment);
   11061           0 :     double * const xbuf   = (double *) ae_align(_loc_xbuf,  alglib_simd_alignment);
   11062           0 :     double * const tmpbuf = (double *) ae_align(_loc_tmpbuf,alglib_simd_alignment);
   11063             :     ae_bool uppera;
   11064           0 :     void (*cmv)(ae_int_t, ae_int_t, const double *, const double *, ae_complex *, double *, ae_int_t, ae_complex, ae_complex) = &_ialglib_cmv;
   11065             :     
   11066           0 :     if( m>alglib_c_block || n>alglib_c_block )
   11067           0 :         return ae_false;
   11068             : 
   11069             :     /*
   11070             :      * Check for SSE2 support
   11071             :      */
   11072             : #ifdef AE_HAS_SSE2_INTRINSICS
   11073             :     if( ae_cpuid() & CPU_SSE2 )
   11074             :     {
   11075             :         cmv = &_ialglib_cmv_sse2;
   11076             :     }    
   11077             : #endif
   11078             :     
   11079             :     /*
   11080             :      * Prepare
   11081             :      * Transpose X (so we may use mv, which calculates A*x, but not x*A)
   11082             :      */
   11083           0 :     _ialglib_mcopyblock_complex(m, m, _a, optype, _a_stride, abuf);
   11084           0 :     _ialglib_mcopyblock_complex(m, n, _x, 1, _x_stride, xbuf);
   11085           0 :     if( isunit )
   11086           0 :         for(i=0,pdiag=abuf; i<m; i++,pdiag+=2*(alglib_c_block+1))
   11087             :         {
   11088           0 :             pdiag[0] = 1.0;
   11089           0 :             pdiag[1] = 0.0;
   11090             :         }
   11091           0 :     if( optype==0 )
   11092           0 :         uppera = isupper;
   11093             :     else
   11094           0 :         uppera = !isupper;
   11095             : 
   11096             :     /*
   11097             :      * Solve A^-1*Y^T=X^T where A is upper or lower triangular
   11098             :      */
   11099           0 :     if( uppera )
   11100             :     {
   11101           0 :         for(i=m-1,pdiag=abuf+2*((m-1)*alglib_c_block+(m-1)); i>=0; i--,pdiag-=2*(alglib_c_block+1))
   11102             :         {
   11103             :             ae_complex tmp_c;
   11104             :             ae_complex beta;
   11105             :             ae_complex alpha;
   11106           0 :             tmp_c.x = pdiag[0];
   11107           0 :             tmp_c.y = pdiag[1];
   11108           0 :             beta = ae_c_d_div(1.0, tmp_c);
   11109           0 :             alpha.x = -beta.x;
   11110           0 :             alpha.y = -beta.y;
   11111           0 :             _ialglib_vcopy_dcomplex(m-1-i, pdiag+2, 1, tmpbuf, 1, "No conj");
   11112           0 :             cmv(n, m-1-i, xbuf+2*(i+1), tmpbuf, NULL, xbuf+2*i, alglib_c_block, alpha, beta);
   11113             :         }
   11114           0 :         _ialglib_mcopyunblock_complex(m, n, xbuf, 1, _x, _x_stride);
   11115             :     }
   11116             :     else
   11117           0 :     {   for(i=0,pdiag=abuf,arow=abuf; i<m; i++,pdiag+=2*(alglib_c_block+1),arow+=2*alglib_c_block)
   11118             :         {
   11119             :             ae_complex tmp_c;
   11120             :             ae_complex beta;
   11121             :             ae_complex alpha;
   11122           0 :             tmp_c.x = pdiag[0];
   11123           0 :             tmp_c.y = pdiag[1];
   11124           0 :             beta = ae_c_d_div(1.0, tmp_c);
   11125           0 :             alpha.x = -beta.x;
   11126           0 :             alpha.y = -beta.y;
   11127           0 :             _ialglib_vcopy_dcomplex(i, arow, 1, tmpbuf, 1, "No conj");
   11128           0 :             cmv(n, i, xbuf, tmpbuf, NULL, xbuf+2*i, alglib_c_block, alpha, beta);
   11129             :         }
   11130           0 :         _ialglib_mcopyunblock_complex(m, n, xbuf, 1, _x, _x_stride);
   11131             :     }
   11132           0 :     return ae_true;
   11133             : }
   11134             : 
   11135             : 
   11136             : /********************************************************************
   11137             : real TRSM kernel
   11138             : ********************************************************************/
   11139           0 : ae_bool _ialglib_rmatrixlefttrsm(ae_int_t m,
   11140             :      ae_int_t n,
   11141             :      double *_a,
   11142             :      ae_int_t _a_stride,
   11143             :      ae_bool isupper,
   11144             :      ae_bool isunit,
   11145             :      ae_int_t optype,
   11146             :      double *_x,
   11147             :      ae_int_t _x_stride)
   11148             : {
   11149             :     /*
   11150             :      * local buffers
   11151             :      */
   11152             :     double *pdiag, *arow;
   11153             :     ae_int_t i;
   11154             :     double _loc_abuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   11155             :     double _loc_xbuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   11156             :     double _loc_tmpbuf[alglib_r_block+alglib_simd_alignment];
   11157           0 :     double * const abuf   = (double *) ae_align(_loc_abuf,  alglib_simd_alignment);
   11158           0 :     double * const xbuf   = (double *) ae_align(_loc_xbuf,  alglib_simd_alignment);
   11159           0 :     double * const tmpbuf = (double *) ae_align(_loc_tmpbuf,alglib_simd_alignment);
   11160             :     ae_bool uppera;
   11161           0 :     void (*rmv)(ae_int_t, ae_int_t, const double *, const double *, double *, ae_int_t, double, double) = &_ialglib_rmv;
   11162           0 :     void (*mcopyblock)(ae_int_t, ae_int_t, const double *, ae_int_t, ae_int_t, double *) = &_ialglib_mcopyblock;
   11163             :     
   11164           0 :     if( m>alglib_r_block || n>alglib_r_block )
   11165           0 :         return ae_false;
   11166             : 
   11167             :     /*
   11168             :      * Check for SSE2 support
   11169             :      */
   11170             : #ifdef AE_HAS_SSE2_INTRINSICS
   11171             :     if( ae_cpuid() & CPU_SSE2 )
   11172             :     {
   11173             :         rmv = &_ialglib_rmv_sse2;
   11174             :         mcopyblock = &_ialglib_mcopyblock_sse2;
   11175             :     }    
   11176             : #endif
   11177             :     
   11178             :     /*
   11179             :      * Prepare
   11180             :      * Transpose X (so we may use mv, which calculates A*x, but not x*A)
   11181             :      */
   11182           0 :     mcopyblock(m, m, _a, optype, _a_stride, abuf);
   11183           0 :     mcopyblock(m, n, _x, 1, _x_stride, xbuf);
   11184           0 :     if( isunit )
   11185           0 :         for(i=0,pdiag=abuf; i<m; i++,pdiag+=alglib_r_block+1)
   11186           0 :             *pdiag = 1.0;
   11187           0 :     if( optype==0 )
   11188           0 :         uppera = isupper;
   11189             :     else
   11190           0 :         uppera = !isupper;
   11191             : 
   11192             :     /*
   11193             :      * Solve A^-1*Y^T=X^T where A is upper or lower triangular
   11194             :      */
   11195           0 :     if( uppera )
   11196             :     {
   11197           0 :         for(i=m-1,pdiag=abuf+(m-1)*alglib_r_block+(m-1); i>=0; i--,pdiag-=alglib_r_block+1)
   11198             :         {
   11199           0 :             double beta = 1.0/(*pdiag);
   11200           0 :             double alpha = -beta;
   11201           0 :             _ialglib_vcopy(m-1-i, pdiag+1, 1, tmpbuf+i+1, 1);
   11202           0 :             rmv(n, m-1-i, xbuf+i+1, tmpbuf+i+1, xbuf+i, alglib_r_block, alpha, beta);
   11203             :         }
   11204           0 :         _ialglib_mcopyunblock(m, n, xbuf, 1, _x, _x_stride);
   11205             :     }
   11206             :     else
   11207           0 :     {   for(i=0,pdiag=abuf,arow=abuf; i<m; i++,pdiag+=alglib_r_block+1,arow+=alglib_r_block)
   11208             :         {
   11209           0 :             double beta = 1.0/(*pdiag);
   11210           0 :             double alpha = -beta;
   11211           0 :             _ialglib_vcopy(i, arow, 1, tmpbuf, 1);
   11212           0 :             rmv(n, i, xbuf, tmpbuf, xbuf+i, alglib_r_block, alpha, beta);
   11213             :         }
   11214           0 :         _ialglib_mcopyunblock(m, n, xbuf, 1, _x, _x_stride);
   11215             :     }
   11216           0 :     return ae_true;
   11217             : }
   11218             : 
   11219             : 
   11220             : /********************************************************************
   11221             : complex SYRK kernel
   11222             : ********************************************************************/
   11223           0 : ae_bool _ialglib_cmatrixherk(ae_int_t n,
   11224             :      ae_int_t k,
   11225             :      double alpha,
   11226             :      ae_complex *_a,
   11227             :      ae_int_t _a_stride,
   11228             :      ae_int_t optypea,
   11229             :      double beta,
   11230             :      ae_complex *_c,
   11231             :      ae_int_t _c_stride,
   11232             :      ae_bool isupper)
   11233             : {
   11234             :     /*
   11235             :      * local buffers
   11236             :      */
   11237             :     double *arow, *crow;
   11238             :     ae_complex c_alpha, c_beta;
   11239             :     ae_int_t i;
   11240             :     double _loc_abuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   11241             :     double _loc_cbuf[2*alglib_c_block*alglib_c_block+alglib_simd_alignment];
   11242             :     double _loc_tmpbuf[2*alglib_c_block+alglib_simd_alignment];
   11243           0 :     double * const abuf   = (double *) ae_align(_loc_abuf,  alglib_simd_alignment);
   11244           0 :     double * const cbuf   = (double *) ae_align(_loc_cbuf,  alglib_simd_alignment);
   11245           0 :     double * const tmpbuf = (double *) ae_align(_loc_tmpbuf,alglib_simd_alignment);
   11246             : 
   11247           0 :     if( n>alglib_c_block || k>alglib_c_block )
   11248           0 :         return ae_false;
   11249           0 :     if( n==0 )
   11250           0 :         return ae_true;
   11251             : 
   11252             :     /*
   11253             :      * copy A and C, task is transformed to "A*A^H"-form.
   11254             :      * if beta==0, then C is filled by zeros (and not referenced)
   11255             :      *
   11256             :      * alpha==0 or k==0 are correctly processed (A is not referenced)
   11257             :      */
   11258           0 :     c_alpha.x = alpha;
   11259           0 :     c_alpha.y = 0;
   11260           0 :     c_beta.x = beta;
   11261           0 :     c_beta.y = 0;
   11262           0 :     if( alpha==0 )
   11263           0 :         k = 0;
   11264           0 :     if( k>0 )
   11265             :     {
   11266           0 :         if( optypea==0 )
   11267           0 :             _ialglib_mcopyblock_complex(n, k, _a, 3, _a_stride, abuf);
   11268             :         else
   11269           0 :             _ialglib_mcopyblock_complex(k, n, _a, 1, _a_stride, abuf);
   11270             :     }
   11271           0 :     _ialglib_mcopyblock_complex(n, n, _c, 0, _c_stride, cbuf);
   11272           0 :     if( beta==0 )
   11273             :     {
   11274           0 :         for(i=0,crow=cbuf; i<n; i++,crow+=2*alglib_c_block)
   11275           0 :             if( isupper )
   11276           0 :                 _ialglib_vzero(2*(n-i), crow+2*i, 1);
   11277             :             else
   11278           0 :                 _ialglib_vzero(2*(i+1), crow, 1);
   11279             :     }
   11280             : 
   11281             : 
   11282             :     /*
   11283             :      * update C
   11284             :      */
   11285           0 :     if( isupper )
   11286             :     {
   11287           0 :         for(i=0,arow=abuf,crow=cbuf; i<n; i++,arow+=2*alglib_c_block,crow+=2*alglib_c_block)
   11288             :         {
   11289           0 :             _ialglib_vcopy_dcomplex(k, arow, 1, tmpbuf, 1, "Conj");
   11290           0 :             _ialglib_cmv(n-i, k, arow, tmpbuf, NULL, crow+2*i, 1, c_alpha, c_beta);
   11291             :         }
   11292             :     }
   11293             :     else
   11294             :     {
   11295           0 :         for(i=0,arow=abuf,crow=cbuf; i<n; i++,arow+=2*alglib_c_block,crow+=2*alglib_c_block)
   11296             :         {
   11297           0 :             _ialglib_vcopy_dcomplex(k, arow, 1, tmpbuf, 1, "Conj");
   11298           0 :             _ialglib_cmv(i+1, k, abuf, tmpbuf, NULL, crow, 1, c_alpha, c_beta);
   11299             :         }
   11300             :     }
   11301             : 
   11302             :     /*
   11303             :      * copy back
   11304             :      */
   11305           0 :     _ialglib_mcopyunblock_complex(n, n, cbuf, 0, _c, _c_stride);
   11306             : 
   11307           0 :     return ae_true;
   11308             : }
   11309             : 
   11310             : 
   11311             : /********************************************************************
   11312             : real SYRK kernel
   11313             : ********************************************************************/
   11314           0 : ae_bool _ialglib_rmatrixsyrk(ae_int_t n,
   11315             :      ae_int_t k,
   11316             :      double alpha,
   11317             :      double *_a,
   11318             :      ae_int_t _a_stride,
   11319             :      ae_int_t optypea,
   11320             :      double beta,
   11321             :      double *_c,
   11322             :      ae_int_t _c_stride,
   11323             :      ae_bool isupper)
   11324             : {
   11325             :     /*
   11326             :      * local buffers
   11327             :      */
   11328             :     double *arow, *crow;
   11329             :     ae_int_t i;
   11330             :     double _loc_abuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   11331             :     double _loc_cbuf[alglib_r_block*alglib_r_block+alglib_simd_alignment];
   11332           0 :     double * const abuf   = (double *) ae_align(_loc_abuf,  alglib_simd_alignment);
   11333           0 :     double * const cbuf   = (double *) ae_align(_loc_cbuf,  alglib_simd_alignment);
   11334             : 
   11335           0 :     if( n>alglib_r_block || k>alglib_r_block )
   11336           0 :         return ae_false;
   11337           0 :     if( n==0 )
   11338           0 :         return ae_true;
   11339             : 
   11340             :     /*
   11341             :      * copy A and C, task is transformed to "A*A^T"-form.
   11342             :      * if beta==0, then C is filled by zeros (and not referenced)
   11343             :      *
   11344             :      * alpha==0 or k==0 are correctly processed (A is not referenced)
   11345             :      */
   11346           0 :     if( alpha==0 )
   11347           0 :         k = 0;
   11348           0 :     if( k>0 )
   11349             :     {
   11350           0 :         if( optypea==0 )
   11351           0 :             _ialglib_mcopyblock(n, k, _a, 0, _a_stride, abuf);
   11352             :         else
   11353           0 :             _ialglib_mcopyblock(k, n, _a, 1, _a_stride, abuf);
   11354             :     }
   11355           0 :     _ialglib_mcopyblock(n, n, _c, 0, _c_stride, cbuf);
   11356           0 :     if( beta==0 )
   11357             :     {
   11358           0 :         for(i=0,crow=cbuf; i<n; i++,crow+=alglib_r_block)
   11359           0 :             if( isupper )
   11360           0 :                 _ialglib_vzero(n-i, crow+i, 1);
   11361             :             else
   11362           0 :                 _ialglib_vzero(i+1, crow, 1);
   11363             :     }
   11364             : 
   11365             : 
   11366             :     /*
   11367             :      * update C
   11368             :      */
   11369           0 :     if( isupper )
   11370             :     {
   11371           0 :         for(i=0,arow=abuf,crow=cbuf; i<n; i++,arow+=alglib_r_block,crow+=alglib_r_block)
   11372             :         {
   11373           0 :             _ialglib_rmv(n-i, k, arow, arow, crow+i, 1, alpha, beta);
   11374             :         }
   11375             :     }
   11376             :     else
   11377             :     {
   11378           0 :         for(i=0,arow=abuf,crow=cbuf; i<n; i++,arow+=alglib_r_block,crow+=alglib_r_block)
   11379             :         {
   11380           0 :             _ialglib_rmv(i+1, k, abuf, arow, crow, 1, alpha, beta);
   11381             :         }
   11382             :     }
   11383             : 
   11384             :     /*
   11385             :      * copy back
   11386             :      */
   11387           0 :     _ialglib_mcopyunblock(n, n, cbuf, 0, _c, _c_stride);
   11388             : 
   11389           0 :     return ae_true;
   11390             : }
   11391             : 
   11392             : 
   11393             : /********************************************************************
   11394             : complex rank-1 kernel
   11395             : ********************************************************************/
   11396           0 : ae_bool _ialglib_cmatrixrank1(ae_int_t m,
   11397             :      ae_int_t n,
   11398             :      ae_complex *_a,
   11399             :      ae_int_t _a_stride,
   11400             :      ae_complex *_u,
   11401             :      ae_complex *_v)
   11402             : {
   11403             :     /*
   11404             :      * Locals
   11405             :      */
   11406             :     ae_complex *arow, *pu, *pv, *vtmp, *dst;
   11407           0 :     ae_int_t n2 = n/2;
   11408             :     ae_int_t i, j;
   11409             :     
   11410             :     /*
   11411             :      * Quick exit
   11412             :      */
   11413           0 :     if( m<=0 || n<=0 )
   11414           0 :         return ae_false;
   11415             :     
   11416             : 
   11417             :     /*
   11418             :      * update pairs of rows
   11419             :      */
   11420           0 :     arow  = _a;
   11421           0 :     pu    = _u;
   11422           0 :     vtmp  = _v;
   11423           0 :     for(i=0; i<m; i++, arow+=_a_stride, pu++)
   11424             :     {
   11425             :         /*
   11426             :          * update by two
   11427             :          */
   11428           0 :         for(j=0,pv=vtmp, dst=arow; j<n2; j++, dst+=2, pv+=2)
   11429             :         {
   11430           0 :             double ux  = pu[0].x;
   11431           0 :             double uy  = pu[0].y;
   11432           0 :             double v0x = pv[0].x;
   11433           0 :             double v0y = pv[0].y;
   11434           0 :             double v1x = pv[1].x;
   11435           0 :             double v1y = pv[1].y;
   11436           0 :             dst[0].x += ux*v0x-uy*v0y;
   11437           0 :             dst[0].y += ux*v0y+uy*v0x;
   11438           0 :             dst[1].x += ux*v1x-uy*v1y;
   11439           0 :             dst[1].y += ux*v1y+uy*v1x;
   11440             :         }
   11441             : 
   11442             :         /*
   11443             :          * final update
   11444             :          */
   11445           0 :         if( n%2!=0 )
   11446             :         {
   11447           0 :             double ux = pu[0].x;
   11448           0 :             double uy = pu[0].y;
   11449           0 :             double vx = pv[0].x;
   11450           0 :             double vy = pv[0].y;
   11451           0 :             dst[0].x += ux*vx-uy*vy;
   11452           0 :             dst[0].y += ux*vy+uy*vx;
   11453             :         }
   11454             :     }
   11455           0 :     return ae_true;
   11456             : }
   11457             : 
   11458             : 
   11459             : /********************************************************************
   11460             : real rank-1 kernel
   11461             : deprecated version
   11462             : ********************************************************************/
   11463           0 : ae_bool _ialglib_rmatrixrank1(ae_int_t m,
   11464             :      ae_int_t n,
   11465             :      double *_a,
   11466             :      ae_int_t _a_stride,
   11467             :      double *_u,
   11468             :      double *_v)
   11469             : {
   11470             :     /*
   11471             :      * Locals
   11472             :      */
   11473             :     double *arow0, *arow1, *pu, *pv, *vtmp, *dst0, *dst1;
   11474           0 :     ae_int_t m2 = m/2;
   11475           0 :     ae_int_t n2 = n/2;
   11476           0 :     ae_int_t stride  = _a_stride;
   11477           0 :     ae_int_t stride2 = 2*_a_stride;
   11478             :     ae_int_t i, j;
   11479             : 
   11480             :     /*
   11481             :      * Quick exit
   11482             :      */
   11483           0 :     if( m<=0 || n<=0 )
   11484           0 :         return ae_false;
   11485             :     
   11486             :     /*
   11487             :      * update pairs of rows
   11488             :      */
   11489           0 :     arow0 = _a;
   11490           0 :     arow1 = arow0+stride;
   11491           0 :     pu    = _u;
   11492           0 :     vtmp  = _v;
   11493           0 :     for(i=0; i<m2; i++,arow0+=stride2,arow1+=stride2,pu+=2)
   11494             :     {
   11495             :         /*
   11496             :          * update by two
   11497             :          */
   11498           0 :         for(j=0,pv=vtmp, dst0=arow0, dst1=arow1; j<n2; j++, dst0+=2, dst1+=2, pv+=2)
   11499             :         {
   11500           0 :             dst0[0] += pu[0]*pv[0];
   11501           0 :             dst0[1] += pu[0]*pv[1];
   11502           0 :             dst1[0] += pu[1]*pv[0];
   11503           0 :             dst1[1] += pu[1]*pv[1];
   11504             :         }
   11505             : 
   11506             :         /*
   11507             :          * final update
   11508             :          */
   11509           0 :         if( n%2!=0 )
   11510             :         {
   11511           0 :             dst0[0] += pu[0]*pv[0];
   11512           0 :             dst1[0] += pu[1]*pv[0];
   11513             :         }
   11514             :     }
   11515             : 
   11516             :     /*
   11517             :      * update last row
   11518             :      */
   11519           0 :     if( m%2!=0 )
   11520             :     {
   11521             :         /*
   11522             :          * update by two
   11523             :          */
   11524           0 :         for(j=0,pv=vtmp, dst0=arow0; j<n2; j++, dst0+=2, pv+=2)
   11525             :         {
   11526           0 :             dst0[0] += pu[0]*pv[0];
   11527           0 :             dst0[1] += pu[0]*pv[1];
   11528             :         }
   11529             : 
   11530             :         /*
   11531             :          * final update
   11532             :          */
   11533           0 :         if( n%2!=0 )
   11534           0 :             dst0[0] += pu[0]*pv[0];
   11535             :     }
   11536           0 :     return ae_true;
   11537             : }
   11538             : 
   11539             : 
   11540             : 
   11541             : /********************************************************************
   11542             : real rank-1 kernel
   11543             : deprecated version
   11544             : ********************************************************************/
   11545           0 : ae_bool _ialglib_rmatrixger(ae_int_t m,
   11546             :      ae_int_t n,
   11547             :      double *_a,
   11548             :      ae_int_t _a_stride,
   11549             :      double alpha,
   11550             :      double *_u,
   11551             :      double *_v)
   11552             : {
   11553             :     /*
   11554             :      * Locals
   11555             :      */
   11556             :     double *arow0, *arow1, *pu, *pv, *vtmp, *dst0, *dst1;
   11557           0 :     ae_int_t m2 = m/2;
   11558           0 :     ae_int_t n2 = n/2;
   11559           0 :     ae_int_t stride  = _a_stride;
   11560           0 :     ae_int_t stride2 = 2*_a_stride;
   11561             :     ae_int_t i, j;
   11562             : 
   11563             :     /*
   11564             :      * Quick exit
   11565             :      */
   11566           0 :     if( m<=0 || n<=0 || alpha==0.0 )
   11567           0 :         return ae_false;
   11568             :     
   11569             :     /*
   11570             :      * update pairs of rows
   11571             :      */
   11572           0 :     arow0 = _a;
   11573           0 :     arow1 = arow0+stride;
   11574           0 :     pu    = _u;
   11575           0 :     vtmp  = _v;
   11576           0 :     for(i=0; i<m2; i++,arow0+=stride2,arow1+=stride2,pu+=2)
   11577             :     {
   11578           0 :         double au0 = alpha*pu[0];
   11579           0 :         double au1 = alpha*pu[1];
   11580             :         
   11581             :         /*
   11582             :          * update by two
   11583             :          */
   11584           0 :         for(j=0,pv=vtmp, dst0=arow0, dst1=arow1; j<n2; j++, dst0+=2, dst1+=2, pv+=2)
   11585             :         {
   11586           0 :             dst0[0] += au0*pv[0];
   11587           0 :             dst0[1] += au0*pv[1];
   11588           0 :             dst1[0] += au1*pv[0];
   11589           0 :             dst1[1] += au1*pv[1];
   11590             :         }
   11591             : 
   11592             :         /*
   11593             :          * final update
   11594             :          */
   11595           0 :         if( n%2!=0 )
   11596             :         {
   11597           0 :             dst0[0] += au0*pv[0];
   11598           0 :             dst1[0] += au1*pv[0];
   11599             :         }
   11600             :     }
   11601             : 
   11602             :     /*
   11603             :      * update last row
   11604             :      */
   11605           0 :     if( m%2!=0 )
   11606             :     {
   11607           0 :         double au0 = alpha*pu[0];
   11608             :         
   11609             :         /*
   11610             :          * update by two
   11611             :          */
   11612           0 :         for(j=0,pv=vtmp, dst0=arow0; j<n2; j++, dst0+=2, pv+=2)
   11613             :         {
   11614           0 :             dst0[0] += au0*pv[0];
   11615           0 :             dst0[1] += au0*pv[1];
   11616             :         }
   11617             : 
   11618             :         /*
   11619             :          * final update
   11620             :          */
   11621           0 :         if( n%2!=0 )
   11622           0 :             dst0[0] += au0*pv[0];
   11623             :     }
   11624           0 :     return ae_true;
   11625             : }
   11626             : 
   11627             : /********************************************************************
   11628             : Interface functions for efficient kernels
   11629             : ********************************************************************/
   11630           0 : ae_bool _ialglib_i_rmatrixgemmf(ae_int_t m,
   11631             :      ae_int_t n,
   11632             :      ae_int_t k,
   11633             :      double alpha,
   11634             :      ae_matrix *_a,
   11635             :      ae_int_t ia,
   11636             :      ae_int_t ja,
   11637             :      ae_int_t optypea,
   11638             :      ae_matrix *_b,
   11639             :      ae_int_t ib,
   11640             :      ae_int_t jb,
   11641             :      ae_int_t optypeb,
   11642             :      double beta,
   11643             :      ae_matrix *_c,
   11644             :      ae_int_t ic,
   11645             :      ae_int_t jc)
   11646             : {
   11647             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11648           0 :     if( alpha==0.0 || k==0 || n==0 || m==0)
   11649           0 :         return ae_false;
   11650             :     
   11651             :     /* handle with optimized ALGLIB kernel */
   11652           0 :     return _ialglib_rmatrixgemm(m, n, k, alpha, _a->ptr.pp_double[ia]+ja, _a->stride, optypea, _b->ptr.pp_double[ib]+jb, _b->stride, optypeb, beta, _c->ptr.pp_double[ic]+jc, _c->stride);
   11653             : }
   11654             : 
   11655           0 : ae_bool _ialglib_i_cmatrixgemmf(ae_int_t m,
   11656             :      ae_int_t n,
   11657             :      ae_int_t k,
   11658             :      ae_complex alpha,
   11659             :      ae_matrix *_a,
   11660             :      ae_int_t ia,
   11661             :      ae_int_t ja,
   11662             :      ae_int_t optypea,
   11663             :      ae_matrix *_b,
   11664             :      ae_int_t ib,
   11665             :      ae_int_t jb,
   11666             :      ae_int_t optypeb,
   11667             :      ae_complex beta,
   11668             :      ae_matrix *_c,
   11669             :      ae_int_t ic,
   11670             :      ae_int_t jc)
   11671             : {
   11672             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11673           0 :     if( (alpha.x==0.0 && alpha.y==0) || k==0 || n==0 || m==0 )
   11674           0 :         return ae_false;
   11675             :     
   11676             :     /* handle with optimized ALGLIB kernel */
   11677           0 :     return _ialglib_cmatrixgemm(m, n, k, alpha, _a->ptr.pp_complex[ia]+ja, _a->stride, optypea, _b->ptr.pp_complex[ib]+jb, _b->stride, optypeb, beta, _c->ptr.pp_complex[ic]+jc, _c->stride);
   11678             : }
   11679             : 
   11680           0 : ae_bool _ialglib_i_cmatrixrighttrsmf(ae_int_t m,
   11681             :      ae_int_t n,
   11682             :      ae_matrix *a,
   11683             :      ae_int_t i1,
   11684             :      ae_int_t j1,
   11685             :      ae_bool isupper,
   11686             :      ae_bool isunit,
   11687             :      ae_int_t optype,
   11688             :      ae_matrix *x,
   11689             :      ae_int_t i2,
   11690             :      ae_int_t j2)
   11691             : {
   11692             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11693           0 :     if( m==0 || n==0)
   11694           0 :         return ae_false;
   11695             :     
   11696             :     /* handle with optimized ALGLIB kernel */
   11697           0 :     return _ialglib_cmatrixrighttrsm(m, n, &a->ptr.pp_complex[i1][j1], a->stride, isupper, isunit, optype, &x->ptr.pp_complex[i2][j2], x->stride);
   11698             : }
   11699             : 
   11700           0 : ae_bool _ialglib_i_rmatrixrighttrsmf(ae_int_t m,
   11701             :      ae_int_t n,
   11702             :      ae_matrix *a,
   11703             :      ae_int_t i1,
   11704             :      ae_int_t j1,
   11705             :      ae_bool isupper,
   11706             :      ae_bool isunit,
   11707             :      ae_int_t optype,
   11708             :      ae_matrix *x,
   11709             :      ae_int_t i2,
   11710             :      ae_int_t j2)
   11711             : {
   11712             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11713           0 :     if( m==0 || n==0)
   11714           0 :         return ae_false;
   11715             :     
   11716             :     /* handle with optimized ALGLIB kernel */
   11717           0 :     return _ialglib_rmatrixrighttrsm(m, n, &a->ptr.pp_double[i1][j1], a->stride, isupper, isunit, optype, &x->ptr.pp_double[i2][j2], x->stride);
   11718             : }
   11719             : 
   11720           0 : ae_bool _ialglib_i_cmatrixlefttrsmf(ae_int_t m,
   11721             :      ae_int_t n,
   11722             :      ae_matrix *a,
   11723             :      ae_int_t i1,
   11724             :      ae_int_t j1,
   11725             :      ae_bool isupper,
   11726             :      ae_bool isunit,
   11727             :      ae_int_t optype,
   11728             :      ae_matrix *x,
   11729             :      ae_int_t i2,
   11730             :      ae_int_t j2)
   11731             : {
   11732             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11733           0 :     if( m==0 || n==0)
   11734           0 :         return ae_false;
   11735             :     
   11736             :     /* handle with optimized ALGLIB kernel */
   11737           0 :     return _ialglib_cmatrixlefttrsm(m, n, &a->ptr.pp_complex[i1][j1], a->stride, isupper, isunit, optype, &x->ptr.pp_complex[i2][j2], x->stride);
   11738             : }
   11739             : 
   11740           0 : ae_bool _ialglib_i_rmatrixlefttrsmf(ae_int_t m,
   11741             :      ae_int_t n,
   11742             :      ae_matrix *a,
   11743             :      ae_int_t i1,
   11744             :      ae_int_t j1,
   11745             :      ae_bool isupper,
   11746             :      ae_bool isunit,
   11747             :      ae_int_t optype,
   11748             :      ae_matrix *x,
   11749             :      ae_int_t i2,
   11750             :      ae_int_t j2)
   11751             : {
   11752             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11753           0 :     if( m==0 || n==0)
   11754           0 :         return ae_false;
   11755             :     
   11756             :     /* handle with optimized ALGLIB kernel */
   11757           0 :     return _ialglib_rmatrixlefttrsm(m, n, &a->ptr.pp_double[i1][j1], a->stride, isupper, isunit, optype, &x->ptr.pp_double[i2][j2], x->stride);
   11758             : }
   11759             : 
   11760           0 : ae_bool _ialglib_i_cmatrixherkf(ae_int_t n,
   11761             :      ae_int_t k,
   11762             :      double alpha,
   11763             :      ae_matrix *a,
   11764             :      ae_int_t ia,
   11765             :      ae_int_t ja,
   11766             :      ae_int_t optypea,
   11767             :      double beta,
   11768             :      ae_matrix *c,
   11769             :      ae_int_t ic,
   11770             :      ae_int_t jc,
   11771             :      ae_bool isupper)
   11772             : {
   11773             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11774           0 :     if( alpha==0.0 || k==0 || n==0)
   11775           0 :         return ae_false;
   11776             :         
   11777             :     /* ALGLIB kernel */
   11778           0 :     return _ialglib_cmatrixherk(n, k, alpha, &a->ptr.pp_complex[ia][ja], a->stride, optypea, beta, &c->ptr.pp_complex[ic][jc], c->stride, isupper);
   11779             : }
   11780             : 
   11781           0 : ae_bool _ialglib_i_rmatrixsyrkf(ae_int_t n,
   11782             :      ae_int_t k,
   11783             :      double alpha,
   11784             :      ae_matrix *a,
   11785             :      ae_int_t ia,
   11786             :      ae_int_t ja,
   11787             :      ae_int_t optypea,
   11788             :      double beta,
   11789             :      ae_matrix *c,
   11790             :      ae_int_t ic,
   11791             :      ae_int_t jc,
   11792             :      ae_bool isupper)
   11793             : {
   11794             :     /* handle degenerate cases like zero matrices by ALGLIB - greatly simplifies passing data to ALGLIB kernel */
   11795           0 :     if( alpha==0.0 || k==0 || n==0)
   11796           0 :         return ae_false;
   11797             :         
   11798             :     /* ALGLIB kernel */
   11799           0 :     return _ialglib_rmatrixsyrk(n, k, alpha, &a->ptr.pp_double[ia][ja], a->stride, optypea, beta, &c->ptr.pp_double[ic][jc], c->stride, isupper);
   11800             : }
   11801             : 
   11802           0 : ae_bool _ialglib_i_cmatrixrank1f(ae_int_t m,
   11803             :      ae_int_t n,
   11804             :      ae_matrix *a,
   11805             :      ae_int_t ia,
   11806             :      ae_int_t ja,
   11807             :      ae_vector *u,
   11808             :      ae_int_t uoffs,
   11809             :      ae_vector *v,
   11810             :      ae_int_t voffs)
   11811             : {
   11812           0 :     return _ialglib_cmatrixrank1(m, n, &a->ptr.pp_complex[ia][ja], a->stride, &u->ptr.p_complex[uoffs], &v->ptr.p_complex[voffs]);
   11813             : }
   11814             : 
   11815           0 : ae_bool _ialglib_i_rmatrixrank1f(ae_int_t m,
   11816             :      ae_int_t n,
   11817             :      ae_matrix *a,
   11818             :      ae_int_t ia,
   11819             :      ae_int_t ja,
   11820             :      ae_vector *u,
   11821             :      ae_int_t uoffs,
   11822             :      ae_vector *v,
   11823             :      ae_int_t voffs)
   11824             : {
   11825           0 :     return _ialglib_rmatrixrank1(m, n, &a->ptr.pp_double[ia][ja], a->stride, &u->ptr.p_double[uoffs], &v->ptr.p_double[voffs]);
   11826             : }
   11827             : 
   11828           0 : ae_bool _ialglib_i_rmatrixgerf(ae_int_t m,
   11829             :      ae_int_t n,
   11830             :      ae_matrix *a,
   11831             :      ae_int_t ia,
   11832             :      ae_int_t ja,
   11833             :      double alpha,
   11834             :      ae_vector *u,
   11835             :      ae_int_t uoffs,
   11836             :      ae_vector *v,
   11837             :      ae_int_t voffs)
   11838             : {
   11839           0 :     return _ialglib_rmatrixger(m, n, &a->ptr.pp_double[ia][ja], a->stride, alpha, &u->ptr.p_double[uoffs], &v->ptr.p_double[voffs]);
   11840             : }
   11841             : 
   11842             : 
   11843             : 
   11844             : 
   11845             : /********************************************************************
   11846             : This function reads rectangular matrix A given by two column pointers
   11847             : col0 and col1 and stride src_stride and moves it into contiguous row-
   11848             : by-row storage given by dst.
   11849             : 
   11850             : It can handle following special cases:
   11851             : * col1==NULL    in this case second column of A is filled by zeros
   11852             : ********************************************************************/
   11853           0 : void _ialglib_pack_n2(
   11854             :     double *col0,
   11855             :     double *col1,
   11856             :     ae_int_t n,
   11857             :     ae_int_t src_stride,
   11858             :     double *dst)
   11859             : {
   11860             :     ae_int_t n2, j, stride2;
   11861             :     
   11862             :     /*
   11863             :      * handle special case
   11864             :      */
   11865           0 :     if( col1==NULL )
   11866             :     {
   11867           0 :         for(j=0; j<n; j++)
   11868             :         {
   11869           0 :             dst[0] = *col0;
   11870           0 :             dst[1] = 0.0;
   11871           0 :             col0 += src_stride;
   11872           0 :             dst  += 2;
   11873             :         }
   11874           0 :         return;
   11875             :     }
   11876             : 
   11877             :     /*
   11878             :      * handle general case
   11879             :      */
   11880           0 :     n2 = n/2;
   11881           0 :     stride2 = src_stride*2;
   11882           0 :     for(j=0; j<n2; j++)
   11883             :     {
   11884           0 :         dst[0] = *col0;
   11885           0 :         dst[1] = *col1;
   11886           0 :         dst[2] = col0[src_stride];
   11887           0 :         dst[3] = col1[src_stride];
   11888           0 :         col0 += stride2;
   11889           0 :         col1 += stride2;
   11890           0 :         dst  += 4;
   11891             :     }
   11892           0 :     if( n%2 )
   11893             :     {
   11894           0 :         dst[0] = *col0;
   11895           0 :         dst[1] = *col1;
   11896             :     }
   11897             : }
   11898             : 
   11899             : /*************************************************************************
   11900             : This function reads rectangular matrix A given by two column pointers col0 
   11901             : and  col1  and  stride src_stride and moves it into  contiguous row-by-row 
   11902             : storage given by dst.
   11903             : 
   11904             : dst must be aligned, col0 and col1 may be non-aligned.
   11905             : 
   11906             : It can handle following special cases:
   11907             : * col1==NULL        in this case second column of A is filled by zeros
   11908             : * src_stride==1     efficient SSE-based code is used
   11909             : * col1-col0==1      efficient SSE-based code is used
   11910             : 
   11911             : This function supports SSE2; it can be used when:
   11912             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
   11913             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
   11914             : 
   11915             : If  you  want  to  know  whether  it  is safe to call it, you should check 
   11916             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
   11917             : and will do its work.
   11918             : *************************************************************************/
   11919             : #if defined(AE_HAS_SSE2_INTRINSICS)
   11920             : void _ialglib_pack_n2_sse2(
   11921             :     double *col0,
   11922             :     double *col1,
   11923             :     ae_int_t n,
   11924             :     ae_int_t src_stride,
   11925             :     double *dst)
   11926             : {
   11927             :     ae_int_t n2, j, stride2;
   11928             :     
   11929             :     /*
   11930             :      * handle special case: col1==NULL
   11931             :      */
   11932             :     if( col1==NULL )
   11933             :     {
   11934             :         for(j=0; j<n; j++)
   11935             :         {
   11936             :             dst[0] = *col0;
   11937             :             dst[1] = 0.0;
   11938             :             col0 += src_stride;
   11939             :             dst  += 2;
   11940             :         }
   11941             :         return;
   11942             :     }
   11943             : 
   11944             :     /*
   11945             :      * handle unit stride
   11946             :      */
   11947             :     if( src_stride==1 )
   11948             :     {
   11949             :         __m128d v0, v1;
   11950             :         n2 = n/2;
   11951             :         for(j=0; j<n2; j++)
   11952             :         {
   11953             :             v0 = _mm_loadu_pd(col0);
   11954             :             col0 += 2;
   11955             :             v1 = _mm_loadu_pd(col1);
   11956             :             col1 += 2;
   11957             :             _mm_store_pd(dst,  _mm_unpacklo_pd(v0,v1));
   11958             :             _mm_store_pd(dst+2,_mm_unpackhi_pd(v0,v1));
   11959             :             dst  += 4;
   11960             :         }
   11961             :         if( n%2 )
   11962             :         {
   11963             :             dst[0] = *col0;
   11964             :             dst[1] = *col1;
   11965             :         }
   11966             :         return;
   11967             :     }
   11968             : 
   11969             :     /*
   11970             :      * handle col1-col0==1
   11971             :      */
   11972             :     if( col1-col0==1 )
   11973             :     {
   11974             :         __m128d v0, v1;
   11975             :         n2 = n/2;
   11976             :         stride2 = 2*src_stride;
   11977             :         for(j=0; j<n2; j++)
   11978             :         {
   11979             :             v0 = _mm_loadu_pd(col0);
   11980             :             v1 = _mm_loadu_pd(col0+src_stride);
   11981             :             _mm_store_pd(dst,  v0);
   11982             :             _mm_store_pd(dst+2,v1);
   11983             :             col0 += stride2;
   11984             :             dst  += 4;
   11985             :         }
   11986             :         if( n%2 )
   11987             :         {
   11988             :             dst[0] = col0[0];
   11989             :             dst[1] = col0[1];
   11990             :         }
   11991             :         return;
   11992             :     }
   11993             :     
   11994             :     /*
   11995             :      * handle general case
   11996             :      */
   11997             :     n2 = n/2;
   11998             :     stride2 = src_stride*2;
   11999             :     for(j=0; j<n2; j++)
   12000             :     {
   12001             :         dst[0] = *col0;
   12002             :         dst[1] = *col1;
   12003             :         dst[2] = col0[src_stride];
   12004             :         dst[3] = col1[src_stride];
   12005             :         col0 += stride2;
   12006             :         col1 += stride2;
   12007             :         dst  += 4;
   12008             :     }
   12009             :     if( n%2 )
   12010             :     {
   12011             :         dst[0] = *col0;
   12012             :         dst[1] = *col1;
   12013             :     }
   12014             : }
   12015             : #endif
   12016             : 
   12017             : 
   12018             : /********************************************************************
   12019             : This function calculates R := alpha*A'*B+beta*R where A and B are Kx2 
   12020             : matrices stored in contiguous row-by-row storage,  R  is  2x2  matrix
   12021             : stored in non-contiguous row-by-row storage.
   12022             : 
   12023             : A and B must be aligned; R may be non-aligned.
   12024             : 
   12025             : If beta is zero, contents of R is ignored (not  multiplied  by zero -
   12026             : just ignored).
   12027             : 
   12028             : However, when alpha is zero, we still calculate A'*B, which is 
   12029             : multiplied by zero afterwards.
   12030             : 
   12031             : Function accepts additional parameter store_mode:
   12032             : * if 0, full R is stored
   12033             : * if 1, only first row of R is stored
   12034             : * if 2, only first column of R is stored
   12035             : * if 3, only top left element of R is stored
   12036             : ********************************************************************/
   12037           0 : void _ialglib_mm22(double alpha, const double *a, const double *b, ae_int_t k, double beta, double *r, ae_int_t stride, ae_int_t store_mode)
   12038             : {
   12039             :     double v00, v01, v10, v11;
   12040             :     ae_int_t t;
   12041           0 :     v00 = 0.0;
   12042           0 :     v01 = 0.0;
   12043           0 :     v10 = 0.0;
   12044           0 :     v11 = 0.0;
   12045           0 :     for(t=0; t<k; t++)
   12046             :     {
   12047           0 :         v00 += a[0]*b[0];
   12048           0 :         v01 += a[0]*b[1];
   12049           0 :         v10 += a[1]*b[0];
   12050           0 :         v11 += a[1]*b[1];
   12051           0 :         a+=2;
   12052           0 :         b+=2;
   12053             :     }
   12054           0 :     if( store_mode==0 )
   12055             :     {
   12056           0 :         if( beta==0 )
   12057             :         {
   12058           0 :             r[0] = alpha*v00;
   12059           0 :             r[1] = alpha*v01;
   12060           0 :             r[stride+0] = alpha*v10;
   12061           0 :             r[stride+1] = alpha*v11;
   12062             :         }
   12063             :         else
   12064             :         {
   12065           0 :             r[0] = beta*r[0] + alpha*v00;
   12066           0 :             r[1] = beta*r[1] + alpha*v01;
   12067           0 :             r[stride+0] = beta*r[stride+0] + alpha*v10;
   12068           0 :             r[stride+1] = beta*r[stride+1] + alpha*v11;
   12069             :         }
   12070           0 :         return;
   12071             :     }
   12072           0 :     if( store_mode==1 )
   12073             :     {
   12074           0 :         if( beta==0 )
   12075             :         {
   12076           0 :             r[0] = alpha*v00;
   12077           0 :             r[1] = alpha*v01;
   12078             :         }
   12079             :         else
   12080             :         {
   12081           0 :             r[0] = beta*r[0] + alpha*v00;
   12082           0 :             r[1] = beta*r[1] + alpha*v01;
   12083             :         }
   12084           0 :         return;
   12085             :     }
   12086           0 :     if( store_mode==2 )
   12087             :     {
   12088           0 :         if( beta==0 )
   12089             :         {
   12090           0 :             r[0] =alpha*v00;
   12091           0 :             r[stride+0] = alpha*v10;
   12092             :         }
   12093             :         else
   12094             :         {
   12095           0 :             r[0] = beta*r[0] + alpha*v00; 
   12096           0 :             r[stride+0] = beta*r[stride+0] + alpha*v10;
   12097             :         }
   12098           0 :         return;
   12099             :     }
   12100           0 :     if( store_mode==3 )
   12101             :     {
   12102           0 :         if( beta==0 )
   12103             :         {
   12104           0 :             r[0] = alpha*v00;
   12105             :         }
   12106             :         else
   12107             :         {
   12108           0 :             r[0] = beta*r[0] + alpha*v00;
   12109             :         }
   12110           0 :         return;
   12111             :     }
   12112             : }
   12113             : 
   12114             : 
   12115             : /********************************************************************
   12116             : This function calculates R := alpha*A'*B+beta*R where A and B are Kx2 
   12117             : matrices stored in contiguous row-by-row storage,  R  is  2x2  matrix
   12118             : stored in non-contiguous row-by-row storage.
   12119             : 
   12120             : A and B must be aligned; R may be non-aligned.
   12121             : 
   12122             : If beta is zero, contents of R is ignored (not  multiplied  by zero -
   12123             : just ignored).
   12124             : 
   12125             : However, when alpha is zero, we still calculate A'*B, which is 
   12126             : multiplied by zero afterwards.
   12127             : 
   12128             : Function accepts additional parameter store_mode:
   12129             : * if 0, full R is stored
   12130             : * if 1, only first row of R is stored
   12131             : * if 2, only first column of R is stored
   12132             : * if 3, only top left element of R is stored
   12133             : 
   12134             : This function supports SSE2; it can be used when:
   12135             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
   12136             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
   12137             : 
   12138             : If (1) is failed, this function will still be defined and callable, but it 
   12139             : will do nothing.  If (2)  is  failed , call to this function will probably 
   12140             : crash your system. 
   12141             : 
   12142             : If  you  want  to  know  whether  it  is safe to call it, you should check 
   12143             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
   12144             : and will do its work.
   12145             : ********************************************************************/
   12146             : #if defined(AE_HAS_SSE2_INTRINSICS)
   12147             : void _ialglib_mm22_sse2(double alpha, const double *a, const double *b, ae_int_t k, double beta, double *r, ae_int_t stride, ae_int_t store_mode)
   12148             : {
   12149             :     /*
   12150             :      * We calculate product of two Kx2 matrices (result is 2x2). 
   12151             :      * VA and VB store result as follows:
   12152             :      *
   12153             :      *        [ VD[0]  VE[0] ]
   12154             :      * A'*B = [              ]
   12155             :      *        [ VE[1]  VD[1] ]
   12156             :      *
   12157             :      */
   12158             :     __m128d va, vb, vd, ve, vt, r0, r1, valpha, vbeta; 
   12159             :     ae_int_t t, k2;
   12160             :     
   12161             :     /*
   12162             :      * calculate product
   12163             :      */
   12164             :     k2 = k/2;
   12165             :     vd = _mm_setzero_pd();
   12166             :     ve = _mm_setzero_pd();
   12167             :     for(t=0; t<k2; t++)
   12168             :     {
   12169             :         vb = _mm_load_pd(b);
   12170             :         va = _mm_load_pd(a);
   12171             :         vt = vb;
   12172             :         vb = _mm_mul_pd(va,vb);
   12173             :         vt = _mm_shuffle_pd(vt, vt, 1);
   12174             :         vd = _mm_add_pd(vb,vd);        
   12175             :         vt = _mm_mul_pd(va,vt);
   12176             :         vb = _mm_load_pd(b+2);
   12177             :         ve = _mm_add_pd(vt,ve);
   12178             :         va = _mm_load_pd(a+2);
   12179             :         vt = vb;
   12180             :         vb = _mm_mul_pd(va,vb);
   12181             :         vt = _mm_shuffle_pd(vt, vt, 1);
   12182             :         vd = _mm_add_pd(vb,vd);
   12183             :         vt = _mm_mul_pd(va,vt);
   12184             :         ve = _mm_add_pd(vt,ve);
   12185             :         a+=4;
   12186             :         b+=4;
   12187             :     }
   12188             :     if( k%2 )
   12189             :     {
   12190             :         va = _mm_load_pd(a);
   12191             :         vb = _mm_load_pd(b);
   12192             :         vt = _mm_shuffle_pd(vb, vb, 1);
   12193             :         vd = _mm_add_pd(_mm_mul_pd(va,vb),vd);
   12194             :         ve = _mm_add_pd(_mm_mul_pd(va,vt),ve);
   12195             :     }    
   12196             :     
   12197             :     /*
   12198             :      * r0 is first row of alpha*A'*B, r1 is second row
   12199             :      */
   12200             :     valpha = _mm_load1_pd(&alpha);
   12201             :     r0 = _mm_mul_pd(_mm_unpacklo_pd(vd,ve),valpha);
   12202             :     r1 = _mm_mul_pd(_mm_unpackhi_pd(ve,vd),valpha);
   12203             :     
   12204             :     /*
   12205             :      * store
   12206             :      */
   12207             :     if( store_mode==0 )
   12208             :     {
   12209             :         if( beta==0 )
   12210             :         {
   12211             :             _mm_storeu_pd(r,r0);
   12212             :             _mm_storeu_pd(r+stride,r1);
   12213             :         }
   12214             :         else
   12215             :         {
   12216             :             vbeta = _mm_load1_pd(&beta);
   12217             :             _mm_storeu_pd(r,_mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r),vbeta),r0));
   12218             :             _mm_storeu_pd(r+stride,_mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r+stride),vbeta),r1));
   12219             :         }
   12220             :         return;
   12221             :     }
   12222             :     if( store_mode==1 )
   12223             :     {
   12224             :         if( beta==0 )
   12225             :             _mm_storeu_pd(r,r0);
   12226             :         else
   12227             :             _mm_storeu_pd(r,_mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r),_mm_load1_pd(&beta)),r0));
   12228             :         return;
   12229             :     }
   12230             :     if( store_mode==2 )
   12231             :     {
   12232             :         double buf[4];
   12233             :         _mm_storeu_pd(buf,r0);
   12234             :         _mm_storeu_pd(buf+2,r1);
   12235             :         if( beta==0 )
   12236             :         {
   12237             :             r[0] =buf[0];
   12238             :             r[stride+0] = buf[2];
   12239             :         }
   12240             :         else
   12241             :         {
   12242             :             r[0] = beta*r[0] + buf[0]; 
   12243             :             r[stride+0] = beta*r[stride+0] + buf[2];
   12244             :         }
   12245             :         return;
   12246             :     }
   12247             :     if( store_mode==3 )
   12248             :     {
   12249             :         double buf[2];
   12250             :         _mm_storeu_pd(buf,r0);
   12251             :         if( beta==0 )
   12252             :             r[0] = buf[0];
   12253             :         else
   12254             :             r[0] = beta*r[0] + buf[0];
   12255             :         return;
   12256             :     }
   12257             : }
   12258             : #endif
   12259             : 
   12260             : 
   12261             : /*************************************************************************
   12262             : This function calculates R := alpha*A'*(B0|B1)+beta*R where A, B0  and  B1 
   12263             : are Kx2 matrices stored in contiguous row-by-row storage, R is 2x4  matrix 
   12264             : stored in non-contiguous row-by-row storage.
   12265             : 
   12266             : A, B0 and B1 must be aligned; R may be non-aligned.
   12267             : 
   12268             : Note  that  B0  and  B1  are  two  separate  matrices  stored in different 
   12269             : locations.
   12270             : 
   12271             : If beta is zero, contents of R is ignored (not  multiplied  by zero - just 
   12272             : ignored).
   12273             : 
   12274             : However,  when  alpha  is  zero , we still calculate MM product,  which is 
   12275             : multiplied by zero afterwards.
   12276             : 
   12277             : Unlike mm22 functions, this function does NOT support partial  output of R 
   12278             : - we always store full 2x4 matrix.
   12279             : *************************************************************************/
   12280           0 : void _ialglib_mm22x2(double alpha, const double *a, const double *b0, const double *b1, ae_int_t k, double beta, double *r, ae_int_t stride)
   12281             : {
   12282           0 :     _ialglib_mm22(alpha, a, b0, k, beta, r, stride, 0);
   12283           0 :     _ialglib_mm22(alpha, a, b1, k, beta, r+2, stride, 0);
   12284           0 : }
   12285             : 
   12286             : /*************************************************************************
   12287             : This function calculates R := alpha*A'*(B0|B1)+beta*R where A, B0  and  B1 
   12288             : are Kx2 matrices stored in contiguous row-by-row storage, R is 2x4  matrix 
   12289             : stored in non-contiguous row-by-row storage.
   12290             : 
   12291             : A, B0 and B1 must be aligned; R may be non-aligned.
   12292             : 
   12293             : Note  that  B0  and  B1  are  two  separate  matrices  stored in different 
   12294             : locations.
   12295             : 
   12296             : If beta is zero, contents of R is ignored (not  multiplied  by zero - just 
   12297             : ignored).
   12298             : 
   12299             : However,  when  alpha  is  zero , we still calculate MM product,  which is 
   12300             : multiplied by zero afterwards.
   12301             : 
   12302             : Unlike mm22 functions, this function does NOT support partial  output of R 
   12303             : - we always store full 2x4 matrix.
   12304             : 
   12305             : This function supports SSE2; it can be used when:
   12306             : 1. AE_HAS_SSE2_INTRINSICS was defined (checked at compile-time)
   12307             : 2. ae_cpuid() result contains CPU_SSE2 (checked at run-time)
   12308             : 
   12309             : If (1) is failed, this function will still be defined and callable, but it 
   12310             : will do nothing.  If (2)  is  failed , call to this function will probably 
   12311             : crash your system. 
   12312             : 
   12313             : If  you  want  to  know  whether  it  is safe to call it, you should check 
   12314             : results  of  ae_cpuid(). If CPU_SSE2 bit is set, this function is callable 
   12315             : and will do its work.
   12316             : *************************************************************************/
   12317             : #if defined(AE_HAS_SSE2_INTRINSICS)
   12318             : void _ialglib_mm22x2_sse2(double alpha, const double *a, const double *b0, const double *b1, ae_int_t k, double beta, double *r, ae_int_t stride)
   12319             : {
   12320             :     /*
   12321             :      * We calculate product of two Kx2 matrices (result is 2x2). 
   12322             :      * V0, V1, V2, V3 store result as follows:
   12323             :      *
   12324             :      *     [ V0[0]  V1[1] V2[0]  V3[1] ]
   12325             :      * R = [                           ]
   12326             :      *     [ V1[0]  V0[1] V3[0]  V2[1] ]
   12327             :      *
   12328             :      * VA0 stores current 1x2 block of A, VA1 stores shuffle of VA0,
   12329             :      * VB0 and VB1 are used to store two copies of 1x2 block of B0 or B1
   12330             :      * (both vars store same data - either B0 or B1). Results from multiplication
   12331             :      * by VA0/VA1 are stored in VB0/VB1 too.
   12332             :      * 
   12333             :      */
   12334             :     __m128d v0, v1, v2, v3, va0, va1, vb0, vb1; 
   12335             :     __m128d r00, r01, r10, r11, valpha, vbeta; 
   12336             :     ae_int_t t;
   12337             :     
   12338             :     v0 = _mm_setzero_pd();
   12339             :     v1 = _mm_setzero_pd();
   12340             :     v2 = _mm_setzero_pd();
   12341             :     v3 = _mm_setzero_pd();
   12342             :     for(t=0; t<k; t++)
   12343             :     {
   12344             :         va0 = _mm_load_pd(a);
   12345             :         vb0 = _mm_load_pd(b0);
   12346             :         va1 = _mm_load_pd(a);
   12347             :         
   12348             :         vb0 = _mm_mul_pd(va0,vb0);
   12349             :         vb1 = _mm_load_pd(b0);
   12350             :         v0 = _mm_add_pd(v0,vb0);        
   12351             :         vb1 = _mm_mul_pd(va1,vb1);
   12352             :         vb0 = _mm_load_pd(b1);
   12353             :         v1 = _mm_add_pd(v1,vb1);        
   12354             :         
   12355             :         vb0 = _mm_mul_pd(va0,vb0);
   12356             :         vb1 = _mm_load_pd(b1);
   12357             :         v2 = _mm_add_pd(v2,vb0);        
   12358             :         vb1 = _mm_mul_pd(va1,vb1);
   12359             :         v3 = _mm_add_pd(v3,vb1);        
   12360             : 
   12361             :         a+=2;
   12362             :         b0+=2;
   12363             :         b1+=2;
   12364             :     }
   12365             : 
   12366             :     /*
   12367             :      * shuffle V1 and V3 (conversion to more convenient storage format):
   12368             :      *
   12369             :      *     [ V0[0]  V1[0] V2[0]  V3[0] ]
   12370             :      * R = [                           ]
   12371             :      *     [ V1[1]  V0[1] V3[1]  V2[1] ]
   12372             :      *
   12373             :      * unpack results to
   12374             :      *
   12375             :      * [ r00 r01 ]
   12376             :      * [ r10 r11 ]
   12377             :      *
   12378             :      */
   12379             :     valpha = _mm_load1_pd(&alpha);
   12380             :     v1 = _mm_shuffle_pd(v1, v1, 1);
   12381             :     v3 = _mm_shuffle_pd(v3, v3, 1);
   12382             :     r00 = _mm_mul_pd(_mm_unpacklo_pd(v0,v1),valpha);
   12383             :     r10 = _mm_mul_pd(_mm_unpackhi_pd(v1,v0),valpha);
   12384             :     r01 = _mm_mul_pd(_mm_unpacklo_pd(v2,v3),valpha);
   12385             :     r11 = _mm_mul_pd(_mm_unpackhi_pd(v3,v2),valpha);
   12386             :     
   12387             :     /*
   12388             :      * store
   12389             :      */
   12390             :     if( beta==0 )
   12391             :     {
   12392             :         _mm_storeu_pd(r,r00);
   12393             :         _mm_storeu_pd(r+2,r01);
   12394             :         _mm_storeu_pd(r+stride,r10);
   12395             :         _mm_storeu_pd(r+stride+2,r11);
   12396             :     }
   12397             :     else
   12398             :     {
   12399             :         vbeta = _mm_load1_pd(&beta);
   12400             :         _mm_storeu_pd(r,          _mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r),vbeta),r00));
   12401             :         _mm_storeu_pd(r+2,        _mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r+2),vbeta),r01));
   12402             :         _mm_storeu_pd(r+stride,   _mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r+stride),vbeta),r10));
   12403             :         _mm_storeu_pd(r+stride+2, _mm_add_pd(_mm_mul_pd(_mm_loadu_pd(r+stride+2),vbeta),r11));
   12404             :     }    
   12405             : }
   12406             : #endif
   12407             : 
   12408             : }
   12409             : 
   12410             : 
   12411             : /////////////////////////////////////////////////////////////////////////
   12412             : //
   12413             : // THIS SECTION CONTAINS PARALLEL SUBROUTINES
   12414             : //
   12415             : /////////////////////////////////////////////////////////////////////////
   12416             : namespace alglib_impl
   12417             : {
   12418             : 
   12419             : 
   12420             : }
   12421             : 

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