From f70374eb1970bc1aa9d321725f9bdc1f05f586d6 Mon Sep 17 00:00:00 2001 From: george Date: Mon, 6 Oct 2008 10:25:09 +0000 Subject: [PATCH] K-Order Perturbation: Adding the Core subset of Dynare++ deemed needed for k-ord perturb. and the bare bones of the new interface (not compilable yet) git-svn-id: https://www.dynare.org/svn/dynare/dynare_v4@2136 ac1d8469-bf42-47a9-8791-bf33cf982152 --- .../Dyn_pp/extern/include/pthread.h | 1368 +++++++++++++++++ .../korderpert/Dyn_pp/extern/include/sched.h | 178 +++ .../Dyn_pp/extern/include/semaphore.h | 166 ++ .../korderpert/Dyn_pp/extern/matlab/Makefile | 129 ++ .../Dyn_pp/extern/matlab/dynare_simul.cpp | 133 ++ .../Dyn_pp/extern/matlab/dynare_simul.m | 160 ++ .../Dyn_pp/extern/matlab/dynarelib.a | Bin 0 -> 2573780 bytes .../Dyn_pp/extern/matlab/mexopts.bat | 58 + .../Dyn_pp/kord/Copy of journal.cpp | 360 +++++ mex/sources/korderpert/Dyn_pp/kord/Makefile | 96 ++ .../korderpert/Dyn_pp/kord/approximation.cpp | 394 +++++ 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mex/sources/korderpert/src/k_ord_dynare.h create mode 100644 mex/sources/korderpert/src/k_order_perturbation.cpp create mode 100644 mex/sources/korderpert/src/k_order_perturbation.h diff --git a/mex/sources/korderpert/Dyn_pp/extern/include/pthread.h b/mex/sources/korderpert/Dyn_pp/extern/include/pthread.h new file mode 100644 index 000000000..9f2868bcc --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/include/pthread.h @@ -0,0 +1,1368 @@ +/* This is an implementation of the threads API of POSIX 1003.1-2001. + * + * -------------------------------------------------------------------------- + * + * Pthreads-win32 - POSIX Threads Library for Win32 + * Copyright(C) 1998 John E. Bossom + * Copyright(C) 1999,2005 Pthreads-win32 contributors + * + * Contact Email: rpj@callisto.canberra.edu.au + * + * The current list of contributors is contained + * in the file CONTRIBUTORS included with the source + * code distribution. The list can also be seen at the + * following World Wide Web location: + * http://sources.redhat.com/pthreads-win32/contributors.html + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library in the file COPYING.LIB; + * if not, write to the Free Software Foundation, Inc., + * 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA + */ + +#if !defined( PTHREAD_H ) +#define PTHREAD_H + +/* + * See the README file for an explanation of the pthreads-win32 version + * numbering scheme and how the DLL is named etc. + */ +#define PTW32_VERSION 2,8,0,0 +#define PTW32_VERSION_STRING "2, 8, 0, 0\0" + +/* There are three implementations of cancel cleanup. + * Note that pthread.h is included in both application + * compilation units and also internally for the library. + * The code here and within the library aims to work + * for all reasonable combinations of environments. + * + * The three implementations are: + * + * WIN32 SEH + * C + * C++ + * + * Please note that exiting a push/pop block via + * "return", "exit", "break", or "continue" will + * lead to different behaviour amongst applications + * depending upon whether the library was built + * using SEH, C++, or C. For example, a library built + * with SEH will call the cleanup routine, while both + * C++ and C built versions will not. + */ + +/* + * Define defaults for cleanup code. + * Note: Unless the build explicitly defines one of the following, then + * we default to standard C style cleanup. This style uses setjmp/longjmp + * in the cancelation and thread exit implementations and therefore won't + * do stack unwinding if linked to applications that have it (e.g. + * C++ apps). This is currently consistent with most/all commercial Unix + * POSIX threads implementations. + */ +#if !defined( __CLEANUP_SEH ) && !defined( __CLEANUP_CXX ) && !defined( __CLEANUP_C ) +# define __CLEANUP_C +#endif + +#if defined( __CLEANUP_SEH ) && ( !defined( _MSC_VER ) && !defined(PTW32_RC_MSC)) +#error ERROR [__FILE__, line __LINE__]: SEH is not supported for this compiler. +#endif + +/* + * Stop here if we are being included by the resource compiler. + */ +#ifndef RC_INVOKED + +#undef PTW32_LEVEL + +#if defined(_POSIX_SOURCE) +#define PTW32_LEVEL 0 +/* Early POSIX */ +#endif + +#if defined(_POSIX_C_SOURCE) && _POSIX_C_SOURCE >= 199309 +#undef PTW32_LEVEL +#define PTW32_LEVEL 1 +/* Include 1b, 1c and 1d */ +#endif + +#if defined(INCLUDE_NP) +#undef PTW32_LEVEL +#define PTW32_LEVEL 2 +/* Include Non-Portable extensions */ +#endif + +#define PTW32_LEVEL_MAX 3 + +#if !defined(PTW32_LEVEL) +#define PTW32_LEVEL PTW32_LEVEL_MAX +/* Include everything */ +#endif + +#ifdef _UWIN +# define HAVE_STRUCT_TIMESPEC 1 +# define HAVE_SIGNAL_H 1 +# undef HAVE_CONFIG_H +# pragma comment(lib, "pthread") +#endif + +/* + * ------------------------------------------------------------- + * + * + * Module: pthread.h + * + * Purpose: + * Provides an implementation of PThreads based upon the + * standard: + * + * POSIX 1003.1-2001 + * and + * The Single Unix Specification version 3 + * + * (these two are equivalent) + * + * in order to enhance code portability between Windows, + * various commercial Unix implementations, and Linux. + * + * See the ANNOUNCE file for a full list of conforming + * routines and defined constants, and a list of missing + * routines and constants not defined in this implementation. + * + * Authors: + * There have been many contributors to this library. + * The initial implementation was contributed by + * John Bossom, and several others have provided major + * sections or revisions of parts of the implementation. + * Often significant effort has been contributed to + * find and fix important bugs and other problems to + * improve the reliability of the library, which sometimes + * is not reflected in the amount of code which changed as + * result. + * As much as possible, the contributors are acknowledged + * in the ChangeLog file in the source code distribution + * where their changes are noted in detail. + * + * Contributors are listed in the CONTRIBUTORS file. + * + * As usual, all bouquets go to the contributors, and all + * brickbats go to the project maintainer. + * + * Maintainer: + * The code base for this project is coordinated and + * eventually pre-tested, packaged, and made available by + * + * Ross Johnson + * + * QA Testers: + * Ultimately, the library is tested in the real world by + * a host of competent and demanding scientists and + * engineers who report bugs and/or provide solutions + * which are then fixed or incorporated into subsequent + * versions of the library. Each time a bug is fixed, a + * test case is written to prove the fix and ensure + * that later changes to the code don't reintroduce the + * same error. The number of test cases is slowly growing + * and therefore so is the code reliability. + * + * Compliance: + * See the file ANNOUNCE for the list of implemented + * and not-implemented routines and defined options. + * Of course, these are all defined is this file as well. + * + * Web site: + * The source code and other information about this library + * are available from + * + * http://sources.redhat.com/pthreads-win32/ + * + * ------------------------------------------------------------- + */ + +/* Try to avoid including windows.h */ +#if defined(__MINGW32__) && defined(__cplusplus) +#define PTW32_INCLUDE_WINDOWS_H +#endif + +#ifdef PTW32_INCLUDE_WINDOWS_H +#include +#endif + +#if defined(_MSC_VER) && _MSC_VER < 1300 || defined(__DMC__) +/* + * VC++6.0 or early compiler's header has no DWORD_PTR type. + */ +typedef unsigned long DWORD_PTR; +#endif +/* + * ----------------- + * autoconf switches + * ----------------- + */ + +#if HAVE_CONFIG_H +#include "config.h" +#endif /* HAVE_CONFIG_H */ + +#ifndef NEED_FTIME +#include +#else /* NEED_FTIME */ +/* use native WIN32 time API */ +#endif /* NEED_FTIME */ + +#if HAVE_SIGNAL_H +#include +#endif /* HAVE_SIGNAL_H */ + +#include +#include + +/* + * Boolean values to make us independent of system includes. + */ +enum { + PTW32_FALSE = 0, + PTW32_TRUE = (! PTW32_FALSE) +}; + +/* + * This is a duplicate of what is in the autoconf config.h, + * which is only used when building the pthread-win32 libraries. + */ + +#ifndef PTW32_CONFIG_H +# if defined(WINCE) +# define NEED_ERRNO +# define NEED_SEM +# endif +# if defined(_UWIN) || defined(__MINGW32__) +# define HAVE_MODE_T +# endif +#endif + +/* + * + */ + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX +#ifdef NEED_ERRNO +#include "need_errno.h" +#else +#include +#endif +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +/* + * Several systems don't define some error numbers. + */ +#ifndef ENOTSUP +# define ENOTSUP 48 /* This is the value in Solaris. */ +#endif + +#ifndef ETIMEDOUT +# define ETIMEDOUT 10060 /* This is the value in winsock.h. */ +#endif + +#ifndef ENOSYS +# define ENOSYS 140 /* Semi-arbitrary value */ +#endif + +#ifndef EDEADLK +# ifdef EDEADLOCK +# define EDEADLK EDEADLOCK +# else +# define EDEADLK 36 /* This is the value in MSVC. */ +# endif +#endif + +#include + +/* + * To avoid including windows.h we define only those things that we + * actually need from it. + */ +#ifndef PTW32_INCLUDE_WINDOWS_H +#ifndef HANDLE +# define PTW32__HANDLE_DEF +# define HANDLE void * +#endif +#ifndef DWORD +# define PTW32__DWORD_DEF +# define DWORD unsigned long +#endif +#endif + +#ifndef HAVE_STRUCT_TIMESPEC +#define HAVE_STRUCT_TIMESPEC 1 +struct timespec { + long tv_sec; + long tv_nsec; +}; +#endif /* HAVE_STRUCT_TIMESPEC */ + +#ifndef SIG_BLOCK +#define SIG_BLOCK 0 +#endif /* SIG_BLOCK */ + +#ifndef SIG_UNBLOCK +#define SIG_UNBLOCK 1 +#endif /* SIG_UNBLOCK */ + +#ifndef SIG_SETMASK +#define SIG_SETMASK 2 +#endif /* SIG_SETMASK */ + +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ + +/* + * ------------------------------------------------------------- + * + * POSIX 1003.1-2001 Options + * ========================= + * + * Options are normally set in , which is not provided + * with pthreads-win32. + * + * For conformance with the Single Unix Specification (version 3), all of the + * options below are defined, and have a value of either -1 (not supported) + * or 200112L (supported). + * + * These options can neither be left undefined nor have a value of 0, because + * either indicates that sysconf(), which is not implemented, may be used at + * runtime to check the status of the option. + * + * _POSIX_THREADS (== 200112L) + * If == 200112L, you can use threads + * + * _POSIX_THREAD_ATTR_STACKSIZE (== 200112L) + * If == 200112L, you can control the size of a thread's + * stack + * pthread_attr_getstacksize + * pthread_attr_setstacksize + * + * _POSIX_THREAD_ATTR_STACKADDR (== -1) + * If == 200112L, you can allocate and control a thread's + * stack. If not supported, the following functions + * will return ENOSYS, indicating they are not + * supported: + * pthread_attr_getstackaddr + * pthread_attr_setstackaddr + * + * _POSIX_THREAD_PRIORITY_SCHEDULING (== -1) + * If == 200112L, you can use realtime scheduling. + * This option indicates that the behaviour of some + * implemented functions conforms to the additional TPS + * requirements in the standard. E.g. rwlocks favour + * writers over readers when threads have equal priority. + * + * _POSIX_THREAD_PRIO_INHERIT (== -1) + * If == 200112L, you can create priority inheritance + * mutexes. + * pthread_mutexattr_getprotocol + + * pthread_mutexattr_setprotocol + + * + * _POSIX_THREAD_PRIO_PROTECT (== -1) + * If == 200112L, you can create priority ceiling mutexes + * Indicates the availability of: + * pthread_mutex_getprioceiling + * pthread_mutex_setprioceiling + * pthread_mutexattr_getprioceiling + * pthread_mutexattr_getprotocol + + * pthread_mutexattr_setprioceiling + * pthread_mutexattr_setprotocol + + * + * _POSIX_THREAD_PROCESS_SHARED (== -1) + * If set, you can create mutexes and condition + * variables that can be shared with another + * process.If set, indicates the availability + * of: + * pthread_mutexattr_getpshared + * pthread_mutexattr_setpshared + * pthread_condattr_getpshared + * pthread_condattr_setpshared + * + * _POSIX_THREAD_SAFE_FUNCTIONS (== 200112L) + * If == 200112L you can use the special *_r library + * functions that provide thread-safe behaviour + * + * _POSIX_READER_WRITER_LOCKS (== 200112L) + * If == 200112L, you can use read/write locks + * + * _POSIX_SPIN_LOCKS (== 200112L) + * If == 200112L, you can use spin locks + * + * _POSIX_BARRIERS (== 200112L) + * If == 200112L, you can use barriers + * + * + These functions provide both 'inherit' and/or + * 'protect' protocol, based upon these macro + * settings. + * + * ------------------------------------------------------------- + */ + +/* + * POSIX Options + */ +#undef _POSIX_THREADS +#define _POSIX_THREADS 200112L + +#undef _POSIX_READER_WRITER_LOCKS +#define _POSIX_READER_WRITER_LOCKS 200112L + +#undef _POSIX_SPIN_LOCKS +#define _POSIX_SPIN_LOCKS 200112L + +#undef _POSIX_BARRIERS +#define _POSIX_BARRIERS 200112L + +#undef _POSIX_THREAD_SAFE_FUNCTIONS +#define _POSIX_THREAD_SAFE_FUNCTIONS 200112L + +#undef _POSIX_THREAD_ATTR_STACKSIZE +#define _POSIX_THREAD_ATTR_STACKSIZE 200112L + +/* + * The following options are not supported + */ +#undef _POSIX_THREAD_ATTR_STACKADDR +#define _POSIX_THREAD_ATTR_STACKADDR -1 + +#undef _POSIX_THREAD_PRIO_INHERIT +#define _POSIX_THREAD_PRIO_INHERIT -1 + +#undef _POSIX_THREAD_PRIO_PROTECT +#define _POSIX_THREAD_PRIO_PROTECT -1 + +/* TPS is not fully supported. */ +#undef _POSIX_THREAD_PRIORITY_SCHEDULING +#define _POSIX_THREAD_PRIORITY_SCHEDULING -1 + +#undef _POSIX_THREAD_PROCESS_SHARED +#define _POSIX_THREAD_PROCESS_SHARED -1 + + +/* + * POSIX 1003.1-2001 Limits + * =========================== + * + * These limits are normally set in , which is not provided with + * pthreads-win32. + * + * PTHREAD_DESTRUCTOR_ITERATIONS + * Maximum number of attempts to destroy + * a thread's thread-specific data on + * termination (must be at least 4) + * + * PTHREAD_KEYS_MAX + * Maximum number of thread-specific data keys + * available per process (must be at least 128) + * + * PTHREAD_STACK_MIN + * Minimum supported stack size for a thread + * + * PTHREAD_THREADS_MAX + * Maximum number of threads supported per + * process (must be at least 64). + * + * SEM_NSEMS_MAX + * The maximum number of semaphores a process can have. + * (must be at least 256) + * + * SEM_VALUE_MAX + * The maximum value a semaphore can have. + * (must be at least 32767) + * + */ +#undef _POSIX_THREAD_DESTRUCTOR_ITERATIONS +#define _POSIX_THREAD_DESTRUCTOR_ITERATIONS 4 + +#undef PTHREAD_DESTRUCTOR_ITERATIONS +#define PTHREAD_DESTRUCTOR_ITERATIONS _POSIX_THREAD_DESTRUCTOR_ITERATIONS + +#undef _POSIX_THREAD_KEYS_MAX +#define _POSIX_THREAD_KEYS_MAX 128 + +#undef PTHREAD_KEYS_MAX +#define PTHREAD_KEYS_MAX _POSIX_THREAD_KEYS_MAX + +#undef PTHREAD_STACK_MIN +#define PTHREAD_STACK_MIN 0 + +#undef _POSIX_THREAD_THREADS_MAX +#define _POSIX_THREAD_THREADS_MAX 64 + + /* Arbitrary value */ +#undef PTHREAD_THREADS_MAX +#define PTHREAD_THREADS_MAX 2019 + +#undef _POSIX_SEM_NSEMS_MAX +#define _POSIX_SEM_NSEMS_MAX 256 + + /* Arbitrary value */ +#undef SEM_NSEMS_MAX +#define SEM_NSEMS_MAX 1024 + +#undef _POSIX_SEM_VALUE_MAX +#define _POSIX_SEM_VALUE_MAX 32767 + +#undef SEM_VALUE_MAX +#define SEM_VALUE_MAX INT_MAX + + +#if __GNUC__ && ! defined (__declspec) +# error Please upgrade your GNU compiler to one that supports __declspec. +#endif + +/* + * When building the DLL code, you should define PTW32_BUILD so that + * the variables/functions are exported correctly. When using the DLL, + * do NOT define PTW32_BUILD, and then the variables/functions will + * be imported correctly. + */ +#ifndef PTW32_STATIC_LIB +# ifdef PTW32_BUILD +# define PTW32_DLLPORT __declspec (dllexport) +# else +# define PTW32_DLLPORT __declspec (dllimport) +# endif +#else +# define PTW32_DLLPORT +#endif + +/* + * The Open Watcom C/C++ compiler uses a non-standard calling convention + * that passes function args in registers unless __cdecl is explicitly specified + * in exposed function prototypes. + * + * We force all calls to cdecl even though this could slow Watcom code down + * slightly. If you know that the Watcom compiler will be used to build both + * the DLL and application, then you can probably define this as a null string. + * Remember that pthread.h (this file) is used for both the DLL and application builds. + */ +#define PTW32_CDECL __cdecl + +#if defined(_UWIN) && PTW32_LEVEL >= PTW32_LEVEL_MAX +# include +#else +/* + * Generic handle type - intended to extend uniqueness beyond + * that available with a simple pointer. It should scale for either + * IA-32 or IA-64. + */ +typedef struct { + void * p; /* Pointer to actual object */ + unsigned int x; /* Extra information - reuse count etc */ +} ptw32_handle_t; + +typedef ptw32_handle_t pthread_t; +typedef struct pthread_attr_t_ * pthread_attr_t; +typedef struct pthread_once_t_ pthread_once_t; +typedef struct pthread_key_t_ * pthread_key_t; +typedef struct pthread_mutex_t_ * pthread_mutex_t; +typedef struct pthread_mutexattr_t_ * pthread_mutexattr_t; +typedef struct pthread_cond_t_ * pthread_cond_t; +typedef struct pthread_condattr_t_ * pthread_condattr_t; +#endif +typedef struct pthread_rwlock_t_ * pthread_rwlock_t; +typedef struct pthread_rwlockattr_t_ * pthread_rwlockattr_t; +typedef struct pthread_spinlock_t_ * pthread_spinlock_t; +typedef struct pthread_barrier_t_ * pthread_barrier_t; +typedef struct pthread_barrierattr_t_ * pthread_barrierattr_t; + +/* + * ==================== + * ==================== + * POSIX Threads + * ==================== + * ==================== + */ + +enum { +/* + * pthread_attr_{get,set}detachstate + */ + PTHREAD_CREATE_JOINABLE = 0, /* Default */ + PTHREAD_CREATE_DETACHED = 1, + +/* + * pthread_attr_{get,set}inheritsched + */ + PTHREAD_INHERIT_SCHED = 0, + PTHREAD_EXPLICIT_SCHED = 1, /* Default */ + +/* + * pthread_{get,set}scope + */ + PTHREAD_SCOPE_PROCESS = 0, + PTHREAD_SCOPE_SYSTEM = 1, /* Default */ + +/* + * pthread_setcancelstate paramters + */ + PTHREAD_CANCEL_ENABLE = 0, /* Default */ + PTHREAD_CANCEL_DISABLE = 1, + +/* + * pthread_setcanceltype parameters + */ + PTHREAD_CANCEL_ASYNCHRONOUS = 0, + PTHREAD_CANCEL_DEFERRED = 1, /* Default */ + +/* + * pthread_mutexattr_{get,set}pshared + * pthread_condattr_{get,set}pshared + */ + PTHREAD_PROCESS_PRIVATE = 0, + PTHREAD_PROCESS_SHARED = 1, + +/* + * pthread_barrier_wait + */ + PTHREAD_BARRIER_SERIAL_THREAD = -1 +}; + +/* + * ==================== + * ==================== + * Cancelation + * ==================== + * ==================== + */ +#define PTHREAD_CANCELED ((void *) -1) + + +/* + * ==================== + * ==================== + * Once Key + * ==================== + * ==================== + */ +#define PTHREAD_ONCE_INIT { PTW32_FALSE, 0, 0, 0} + +struct pthread_once_t_ +{ + int done; /* indicates if user function has been executed */ + void * lock; + int reserved1; + int reserved2; +}; + + +/* + * ==================== + * ==================== + * Object initialisers + * ==================== + * ==================== + */ +#define PTHREAD_MUTEX_INITIALIZER ((pthread_mutex_t) -1) +#define PTHREAD_RECURSIVE_MUTEX_INITIALIZER ((pthread_mutex_t) -2) +#define PTHREAD_ERRORCHECK_MUTEX_INITIALIZER ((pthread_mutex_t) -3) + +/* + * Compatibility with LinuxThreads + */ +#define PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP PTHREAD_RECURSIVE_MUTEX_INITIALIZER +#define PTHREAD_ERRORCHECK_MUTEX_INITIALIZER_NP PTHREAD_ERRORCHECK_MUTEX_INITIALIZER + +#define PTHREAD_COND_INITIALIZER ((pthread_cond_t) -1) + +#define PTHREAD_RWLOCK_INITIALIZER ((pthread_rwlock_t) -1) + +#define PTHREAD_SPINLOCK_INITIALIZER ((pthread_spinlock_t) -1) + + +/* + * Mutex types. + */ +enum +{ + /* Compatibility with LinuxThreads */ + PTHREAD_MUTEX_FAST_NP, + PTHREAD_MUTEX_RECURSIVE_NP, + PTHREAD_MUTEX_ERRORCHECK_NP, + PTHREAD_MUTEX_TIMED_NP = PTHREAD_MUTEX_FAST_NP, + PTHREAD_MUTEX_ADAPTIVE_NP = PTHREAD_MUTEX_FAST_NP, + /* For compatibility with POSIX */ + PTHREAD_MUTEX_NORMAL = PTHREAD_MUTEX_FAST_NP, + PTHREAD_MUTEX_RECURSIVE = PTHREAD_MUTEX_RECURSIVE_NP, + PTHREAD_MUTEX_ERRORCHECK = PTHREAD_MUTEX_ERRORCHECK_NP, + PTHREAD_MUTEX_DEFAULT = PTHREAD_MUTEX_NORMAL +}; + + +typedef struct ptw32_cleanup_t ptw32_cleanup_t; + +#if defined(_MSC_VER) +/* Disable MSVC 'anachronism used' warning */ +#pragma warning( disable : 4229 ) +#endif + +typedef void (* PTW32_CDECL ptw32_cleanup_callback_t)(void *); + +#if defined(_MSC_VER) +#pragma warning( default : 4229 ) +#endif + +struct ptw32_cleanup_t +{ + ptw32_cleanup_callback_t routine; + void *arg; + struct ptw32_cleanup_t *prev; +}; + +#ifdef __CLEANUP_SEH + /* + * WIN32 SEH version of cancel cleanup. + */ + +#define pthread_cleanup_push( _rout, _arg ) \ + { \ + ptw32_cleanup_t _cleanup; \ + \ + _cleanup.routine = (ptw32_cleanup_callback_t)(_rout); \ + _cleanup.arg = (_arg); \ + __try \ + { \ + +#define pthread_cleanup_pop( _execute ) \ + } \ + __finally \ + { \ + if( _execute || AbnormalTermination()) \ + { \ + (*(_cleanup.routine))( _cleanup.arg ); \ + } \ + } \ + } + +#else /* __CLEANUP_SEH */ + +#ifdef __CLEANUP_C + + /* + * C implementation of PThreads cancel cleanup + */ + +#define pthread_cleanup_push( _rout, _arg ) \ + { \ + ptw32_cleanup_t _cleanup; \ + \ + ptw32_push_cleanup( &_cleanup, (ptw32_cleanup_callback_t) (_rout), (_arg) ); \ + +#define pthread_cleanup_pop( _execute ) \ + (void) ptw32_pop_cleanup( _execute ); \ + } + +#else /* __CLEANUP_C */ + +#ifdef __CLEANUP_CXX + + /* + * C++ version of cancel cleanup. + * - John E. Bossom. + */ + + class PThreadCleanup { + /* + * PThreadCleanup + * + * Purpose + * This class is a C++ helper class that is + * used to implement pthread_cleanup_push/ + * pthread_cleanup_pop. + * The destructor of this class automatically + * pops the pushed cleanup routine regardless + * of how the code exits the scope + * (i.e. such as by an exception) + */ + ptw32_cleanup_callback_t cleanUpRout; + void * obj; + int executeIt; + + public: + PThreadCleanup() : + cleanUpRout( 0 ), + obj( 0 ), + executeIt( 0 ) + /* + * No cleanup performed + */ + { + } + + PThreadCleanup( + ptw32_cleanup_callback_t routine, + void * arg ) : + cleanUpRout( routine ), + obj( arg ), + executeIt( 1 ) + /* + * Registers a cleanup routine for 'arg' + */ + { + } + + ~PThreadCleanup() + { + if ( executeIt && ((void *) cleanUpRout != (void *) 0) ) + { + (void) (*cleanUpRout)( obj ); + } + } + + void execute( int exec ) + { + executeIt = exec; + } + }; + + /* + * C++ implementation of PThreads cancel cleanup; + * This implementation takes advantage of a helper + * class who's destructor automatically calls the + * cleanup routine if we exit our scope weirdly + */ +#define pthread_cleanup_push( _rout, _arg ) \ + { \ + PThreadCleanup cleanup((ptw32_cleanup_callback_t)(_rout), \ + (void *) (_arg) ); + +#define pthread_cleanup_pop( _execute ) \ + cleanup.execute( _execute ); \ + } + +#else + +#error ERROR [__FILE__, line __LINE__]: Cleanup type undefined. + +#endif /* __CLEANUP_CXX */ + +#endif /* __CLEANUP_C */ + +#endif /* __CLEANUP_SEH */ + +/* + * =============== + * =============== + * Methods + * =============== + * =============== + */ + +/* + * PThread Attribute Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_attr_init (pthread_attr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_destroy (pthread_attr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getdetachstate (const pthread_attr_t * attr, + int *detachstate); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getstackaddr (const pthread_attr_t * attr, + void **stackaddr); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getstacksize (const pthread_attr_t * attr, + size_t * stacksize); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setdetachstate (pthread_attr_t * attr, + int detachstate); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setstackaddr (pthread_attr_t * attr, + void *stackaddr); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setstacksize (pthread_attr_t * attr, + size_t stacksize); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getschedparam (const pthread_attr_t *attr, + struct sched_param *param); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setschedparam (pthread_attr_t *attr, + const struct sched_param *param); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setschedpolicy (pthread_attr_t *, + int); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getschedpolicy (pthread_attr_t *, + int *); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setinheritsched(pthread_attr_t * attr, + int inheritsched); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getinheritsched(pthread_attr_t * attr, + int * inheritsched); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_setscope (pthread_attr_t *, + int); + +PTW32_DLLPORT int PTW32_CDECL pthread_attr_getscope (const pthread_attr_t *, + int *); + +/* + * PThread Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_create (pthread_t * tid, + const pthread_attr_t * attr, + void *(*start) (void *), + void *arg); + +PTW32_DLLPORT int PTW32_CDECL pthread_detach (pthread_t tid); + +PTW32_DLLPORT int PTW32_CDECL pthread_equal (pthread_t t1, + pthread_t t2); + +PTW32_DLLPORT void PTW32_CDECL pthread_exit (void *value_ptr); + +PTW32_DLLPORT int PTW32_CDECL pthread_join (pthread_t thread, + void **value_ptr); + +PTW32_DLLPORT pthread_t PTW32_CDECL pthread_self (void); + +PTW32_DLLPORT int PTW32_CDECL pthread_cancel (pthread_t thread); + +PTW32_DLLPORT int PTW32_CDECL pthread_setcancelstate (int state, + int *oldstate); + +PTW32_DLLPORT int PTW32_CDECL pthread_setcanceltype (int type, + int *oldtype); + +PTW32_DLLPORT void PTW32_CDECL pthread_testcancel (void); + +PTW32_DLLPORT int PTW32_CDECL pthread_once (pthread_once_t * once_control, + void (*init_routine) (void)); + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX +PTW32_DLLPORT ptw32_cleanup_t * PTW32_CDECL ptw32_pop_cleanup (int execute); + +PTW32_DLLPORT void PTW32_CDECL ptw32_push_cleanup (ptw32_cleanup_t * cleanup, + void (*routine) (void *), + void *arg); +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +/* + * Thread Specific Data Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_key_create (pthread_key_t * key, + void (*destructor) (void *)); + +PTW32_DLLPORT int PTW32_CDECL pthread_key_delete (pthread_key_t key); + +PTW32_DLLPORT int PTW32_CDECL pthread_setspecific (pthread_key_t key, + const void *value); + +PTW32_DLLPORT void * PTW32_CDECL pthread_getspecific (pthread_key_t key); + + +/* + * Mutex Attribute Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_init (pthread_mutexattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_destroy (pthread_mutexattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_getpshared (const pthread_mutexattr_t + * attr, + int *pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_setpshared (pthread_mutexattr_t * attr, + int pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_settype (pthread_mutexattr_t * attr, int kind); +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_gettype (pthread_mutexattr_t * attr, int *kind); + +/* + * Barrier Attribute Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_barrierattr_init (pthread_barrierattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_barrierattr_destroy (pthread_barrierattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_barrierattr_getpshared (const pthread_barrierattr_t + * attr, + int *pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_barrierattr_setpshared (pthread_barrierattr_t * attr, + int pshared); + +/* + * Mutex Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_init (pthread_mutex_t * mutex, + const pthread_mutexattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_destroy (pthread_mutex_t * mutex); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_lock (pthread_mutex_t * mutex); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_timedlock(pthread_mutex_t *mutex, + const struct timespec *abstime); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_trylock (pthread_mutex_t * mutex); + +PTW32_DLLPORT int PTW32_CDECL pthread_mutex_unlock (pthread_mutex_t * mutex); + +/* + * Spinlock Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_spin_init (pthread_spinlock_t * lock, int pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_spin_destroy (pthread_spinlock_t * lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_spin_lock (pthread_spinlock_t * lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_spin_trylock (pthread_spinlock_t * lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_spin_unlock (pthread_spinlock_t * lock); + +/* + * Barrier Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_barrier_init (pthread_barrier_t * barrier, + const pthread_barrierattr_t * attr, + unsigned int count); + +PTW32_DLLPORT int PTW32_CDECL pthread_barrier_destroy (pthread_barrier_t * barrier); + +PTW32_DLLPORT int PTW32_CDECL pthread_barrier_wait (pthread_barrier_t * barrier); + +/* + * Condition Variable Attribute Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_condattr_init (pthread_condattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_condattr_destroy (pthread_condattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_condattr_getpshared (const pthread_condattr_t * attr, + int *pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_condattr_setpshared (pthread_condattr_t * attr, + int pshared); + +/* + * Condition Variable Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_cond_init (pthread_cond_t * cond, + const pthread_condattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_cond_destroy (pthread_cond_t * cond); + +PTW32_DLLPORT int PTW32_CDECL pthread_cond_wait (pthread_cond_t * cond, + pthread_mutex_t * mutex); + +PTW32_DLLPORT int PTW32_CDECL pthread_cond_timedwait (pthread_cond_t * cond, + pthread_mutex_t * mutex, + const struct timespec *abstime); + +PTW32_DLLPORT int PTW32_CDECL pthread_cond_signal (pthread_cond_t * cond); + +PTW32_DLLPORT int PTW32_CDECL pthread_cond_broadcast (pthread_cond_t * cond); + +/* + * Scheduling + */ +PTW32_DLLPORT int PTW32_CDECL pthread_setschedparam (pthread_t thread, + int policy, + const struct sched_param *param); + +PTW32_DLLPORT int PTW32_CDECL pthread_getschedparam (pthread_t thread, + int *policy, + struct sched_param *param); + +PTW32_DLLPORT int PTW32_CDECL pthread_setconcurrency (int); + +PTW32_DLLPORT int PTW32_CDECL pthread_getconcurrency (void); + +/* + * Read-Write Lock Functions + */ +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_init(pthread_rwlock_t *lock, + const pthread_rwlockattr_t *attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_destroy(pthread_rwlock_t *lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_tryrdlock(pthread_rwlock_t *); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_trywrlock(pthread_rwlock_t *); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_rdlock(pthread_rwlock_t *lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_timedrdlock(pthread_rwlock_t *lock, + const struct timespec *abstime); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_wrlock(pthread_rwlock_t *lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_timedwrlock(pthread_rwlock_t *lock, + const struct timespec *abstime); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlock_unlock(pthread_rwlock_t *lock); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlockattr_init (pthread_rwlockattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlockattr_destroy (pthread_rwlockattr_t * attr); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlockattr_getpshared (const pthread_rwlockattr_t * attr, + int *pshared); + +PTW32_DLLPORT int PTW32_CDECL pthread_rwlockattr_setpshared (pthread_rwlockattr_t * attr, + int pshared); + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX - 1 + +/* + * Signal Functions. Should be defined in but MSVC and MinGW32 + * already have signal.h that don't define these. + */ +PTW32_DLLPORT int PTW32_CDECL pthread_kill(pthread_t thread, int sig); + +/* + * Non-portable functions + */ + +/* + * Compatibility with Linux. + */ +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_setkind_np(pthread_mutexattr_t * attr, + int kind); +PTW32_DLLPORT int PTW32_CDECL pthread_mutexattr_getkind_np(pthread_mutexattr_t * attr, + int *kind); + +/* + * Possibly supported by other POSIX threads implementations + */ +PTW32_DLLPORT int PTW32_CDECL pthread_delay_np (struct timespec * interval); +PTW32_DLLPORT int PTW32_CDECL pthread_num_processors_np(void); + +/* + * Useful if an application wants to statically link + * the lib rather than load the DLL at run-time. + */ +PTW32_DLLPORT int PTW32_CDECL pthread_win32_process_attach_np(void); +PTW32_DLLPORT int PTW32_CDECL pthread_win32_process_detach_np(void); +PTW32_DLLPORT int PTW32_CDECL pthread_win32_thread_attach_np(void); +PTW32_DLLPORT int PTW32_CDECL pthread_win32_thread_detach_np(void); + +/* + * Features that are auto-detected at load/run time. + */ +PTW32_DLLPORT int PTW32_CDECL pthread_win32_test_features_np(int); +enum ptw32_features { + PTW32_SYSTEM_INTERLOCKED_COMPARE_EXCHANGE = 0x0001, /* System provides it. */ + PTW32_ALERTABLE_ASYNC_CANCEL = 0x0002 /* Can cancel blocked threads. */ +}; + +/* + * Register a system time change with the library. + * Causes the library to perform various functions + * in response to the change. Should be called whenever + * the application's top level window receives a + * WM_TIMECHANGE message. It can be passed directly to + * pthread_create() as a new thread if desired. + */ +PTW32_DLLPORT void * PTW32_CDECL pthread_timechange_handler_np(void *); + +#endif /*PTW32_LEVEL >= PTW32_LEVEL_MAX - 1 */ + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX + +/* + * Returns the Win32 HANDLE for the POSIX thread. + */ +PTW32_DLLPORT HANDLE PTW32_CDECL pthread_getw32threadhandle_np(pthread_t thread); + + +/* + * Protected Methods + * + * This function blocks until the given WIN32 handle + * is signaled or pthread_cancel had been called. + * This function allows the caller to hook into the + * PThreads cancel mechanism. It is implemented using + * + * WaitForMultipleObjects + * + * on 'waitHandle' and a manually reset WIN32 Event + * used to implement pthread_cancel. The 'timeout' + * argument to TimedWait is simply passed to + * WaitForMultipleObjects. + */ +PTW32_DLLPORT int PTW32_CDECL pthreadCancelableWait (HANDLE waitHandle); +PTW32_DLLPORT int PTW32_CDECL pthreadCancelableTimedWait (HANDLE waitHandle, + DWORD timeout); + +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +/* + * Thread-Safe C Runtime Library Mappings. + */ +#ifndef _UWIN +# if defined(NEED_ERRNO) + PTW32_DLLPORT int * PTW32_CDECL _errno( void ); +# else +# ifndef errno +# if (defined(_MT) || defined(_DLL)) + __declspec(dllimport) extern int * __cdecl _errno(void); +# define errno (*_errno()) +# endif +# endif +# endif +#endif + +/* + * WIN32 C runtime library had been made thread-safe + * without affecting the user interface. Provide + * mappings from the UNIX thread-safe versions to + * the standard C runtime library calls. + * Only provide function mappings for functions that + * actually exist on WIN32. + */ + +#if !defined(__MINGW32__) +#define strtok_r( _s, _sep, _lasts ) \ + ( *(_lasts) = strtok( (_s), (_sep) ) ) +#endif /* !__MINGW32__ */ + +#define asctime_r( _tm, _buf ) \ + ( strcpy( (_buf), asctime( (_tm) ) ), \ + (_buf) ) + +#define ctime_r( _clock, _buf ) \ + ( strcpy( (_buf), ctime( (_clock) ) ), \ + (_buf) ) + +#define gmtime_r( _clock, _result ) \ + ( *(_result) = *gmtime( (_clock) ), \ + (_result) ) + +#define localtime_r( _clock, _result ) \ + ( *(_result) = *localtime( (_clock) ), \ + (_result) ) + +#define rand_r( _seed ) \ + ( _seed == _seed? rand() : rand() ) + + +/* + * Some compiler environments don't define some things. + */ +#if defined(__BORLANDC__) +# define _ftime ftime +# define _timeb timeb +#endif + +#ifdef __cplusplus + +/* + * Internal exceptions + */ +class ptw32_exception {}; +class ptw32_exception_cancel : public ptw32_exception {}; +class ptw32_exception_exit : public ptw32_exception {}; + +#endif + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX + +/* FIXME: This is only required if the library was built using SEH */ +/* + * Get internal SEH tag + */ +PTW32_DLLPORT DWORD PTW32_CDECL ptw32_get_exception_services_code(void); + +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +#ifndef PTW32_BUILD + +#ifdef __CLEANUP_SEH + +/* + * Redefine the SEH __except keyword to ensure that applications + * propagate our internal exceptions up to the library's internal handlers. + */ +#define __except( E ) \ + __except( ( GetExceptionCode() == ptw32_get_exception_services_code() ) \ + ? EXCEPTION_CONTINUE_SEARCH : ( E ) ) + +#endif /* __CLEANUP_SEH */ + +#ifdef __CLEANUP_CXX + +/* + * Redefine the C++ catch keyword to ensure that applications + * propagate our internal exceptions up to the library's internal handlers. + */ +#ifdef _MSC_VER + /* + * WARNING: Replace any 'catch( ... )' with 'PtW32CatchAll' + * if you want Pthread-Win32 cancelation and pthread_exit to work. + */ + +#ifndef PtW32NoCatchWarn + +#pragma message("Specify \"/DPtW32NoCatchWarn\" compiler flag to skip this message.") +#pragma message("------------------------------------------------------------------") +#pragma message("When compiling applications with MSVC++ and C++ exception handling:") +#pragma message(" Replace any 'catch( ... )' in routines called from POSIX threads") +#pragma message(" with 'PtW32CatchAll' or 'CATCHALL' if you want POSIX thread") +#pragma message(" cancelation and pthread_exit to work. For example:") +#pragma message("") +#pragma message(" #ifdef PtW32CatchAll") +#pragma message(" PtW32CatchAll") +#pragma message(" #else") +#pragma message(" catch(...)") +#pragma message(" #endif") +#pragma message(" {") +#pragma message(" /* Catchall block processing */") +#pragma message(" }") +#pragma message("------------------------------------------------------------------") + +#endif + +#define PtW32CatchAll \ + catch( ptw32_exception & ) { throw; } \ + catch( ... ) + +#else /* _MSC_VER */ + +#define catch( E ) \ + catch( ptw32_exception & ) { throw; } \ + catch( E ) + +#endif /* _MSC_VER */ + +#endif /* __CLEANUP_CXX */ + +#endif /* ! PTW32_BUILD */ + +#ifdef __cplusplus +} /* End of extern "C" */ +#endif /* __cplusplus */ + +#ifdef PTW32__HANDLE_DEF +# undef HANDLE +#endif +#ifdef PTW32__DWORD_DEF +# undef DWORD +#endif + +#undef PTW32_LEVEL +#undef PTW32_LEVEL_MAX + +#endif /* ! RC_INVOKED */ + +#endif /* PTHREAD_H */ diff --git a/mex/sources/korderpert/Dyn_pp/extern/include/sched.h b/mex/sources/korderpert/Dyn_pp/extern/include/sched.h new file mode 100644 index 000000000..10ecb5d7e --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/include/sched.h @@ -0,0 +1,178 @@ +/* + * Module: sched.h + * + * Purpose: + * Provides an implementation of POSIX realtime extensions + * as defined in + * + * POSIX 1003.1b-1993 (POSIX.1b) + * + * -------------------------------------------------------------------------- + * + * Pthreads-win32 - POSIX Threads Library for Win32 + * Copyright(C) 1998 John E. Bossom + * Copyright(C) 1999,2005 Pthreads-win32 contributors + * + * Contact Email: rpj@callisto.canberra.edu.au + * + * The current list of contributors is contained + * in the file CONTRIBUTORS included with the source + * code distribution. The list can also be seen at the + * following World Wide Web location: + * http://sources.redhat.com/pthreads-win32/contributors.html + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library in the file COPYING.LIB; + * if not, write to the Free Software Foundation, Inc., + * 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA + */ +#ifndef _SCHED_H +#define _SCHED_H + +#undef PTW32_LEVEL + +#if defined(_POSIX_SOURCE) +#define PTW32_LEVEL 0 +/* Early POSIX */ +#endif + +#if defined(_POSIX_C_SOURCE) && _POSIX_C_SOURCE >= 199309 +#undef PTW32_LEVEL +#define PTW32_LEVEL 1 +/* Include 1b, 1c and 1d */ +#endif + +#if defined(INCLUDE_NP) +#undef PTW32_LEVEL +#define PTW32_LEVEL 2 +/* Include Non-Portable extensions */ +#endif + +#define PTW32_LEVEL_MAX 3 + +#if !defined(PTW32_LEVEL) +#define PTW32_LEVEL PTW32_LEVEL_MAX +/* Include everything */ +#endif + + +#if __GNUC__ && ! defined (__declspec) +# error Please upgrade your GNU compiler to one that supports __declspec. +#endif + +/* + * When building the DLL code, you should define PTW32_BUILD so that + * the variables/functions are exported correctly. When using the DLL, + * do NOT define PTW32_BUILD, and then the variables/functions will + * be imported correctly. + */ +#ifndef PTW32_STATIC_LIB +# ifdef PTW32_BUILD +# define PTW32_DLLPORT __declspec (dllexport) +# else +# define PTW32_DLLPORT __declspec (dllimport) +# endif +#else +# define PTW32_DLLPORT +#endif + +/* + * This is a duplicate of what is in the autoconf config.h, + * which is only used when building the pthread-win32 libraries. + */ + +#ifndef PTW32_CONFIG_H +# if defined(WINCE) +# define NEED_ERRNO +# define NEED_SEM +# endif +# if defined(_UWIN) || defined(__MINGW32__) +# define HAVE_MODE_T +# endif +#endif + +/* + * + */ + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX +#ifdef NEED_ERRNO +#include "need_errno.h" +#else +#include +#endif +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +#if defined(__MINGW32__) || defined(_UWIN) +#if PTW32_LEVEL >= PTW32_LEVEL_MAX +/* For pid_t */ +# include +/* Required by Unix 98 */ +# include +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ +#else +typedef int pid_t; +#endif + +/* Thread scheduling policies */ + +enum { + SCHED_OTHER = 0, + SCHED_FIFO, + SCHED_RR, + SCHED_MIN = SCHED_OTHER, + SCHED_MAX = SCHED_RR +}; + +struct sched_param { + int sched_priority; +}; + +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ + +PTW32_DLLPORT int __cdecl sched_yield (void); + +PTW32_DLLPORT int __cdecl sched_get_priority_min (int policy); + +PTW32_DLLPORT int __cdecl sched_get_priority_max (int policy); + +PTW32_DLLPORT int __cdecl sched_setscheduler (pid_t pid, int policy); + +PTW32_DLLPORT int __cdecl sched_getscheduler (pid_t pid); + +/* + * Note that this macro returns ENOTSUP rather than + * ENOSYS as might be expected. However, returning ENOSYS + * should mean that sched_get_priority_{min,max} are + * not implemented as well as sched_rr_get_interval. + * This is not the case, since we just don't support + * round-robin scheduling. Therefore I have chosen to + * return the same value as sched_setscheduler when + * SCHED_RR is passed to it. + */ +#define sched_rr_get_interval(_pid, _interval) \ + ( errno = ENOTSUP, (int) -1 ) + + +#ifdef __cplusplus +} /* End of extern "C" */ +#endif /* __cplusplus */ + +#undef PTW32_LEVEL +#undef PTW32_LEVEL_MAX + +#endif /* !_SCHED_H */ + diff --git a/mex/sources/korderpert/Dyn_pp/extern/include/semaphore.h b/mex/sources/korderpert/Dyn_pp/extern/include/semaphore.h new file mode 100644 index 000000000..ea42ce370 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/include/semaphore.h @@ -0,0 +1,166 @@ +/* + * Module: semaphore.h + * + * Purpose: + * Semaphores aren't actually part of the PThreads standard. + * They are defined by the POSIX Standard: + * + * POSIX 1003.1b-1993 (POSIX.1b) + * + * -------------------------------------------------------------------------- + * + * Pthreads-win32 - POSIX Threads Library for Win32 + * Copyright(C) 1998 John E. Bossom + * Copyright(C) 1999,2005 Pthreads-win32 contributors + * + * Contact Email: rpj@callisto.canberra.edu.au + * + * The current list of contributors is contained + * in the file CONTRIBUTORS included with the source + * code distribution. The list can also be seen at the + * following World Wide Web location: + * http://sources.redhat.com/pthreads-win32/contributors.html + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library in the file COPYING.LIB; + * if not, write to the Free Software Foundation, Inc., + * 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA + */ +#if !defined( SEMAPHORE_H ) +#define SEMAPHORE_H + +#undef PTW32_LEVEL + +#if defined(_POSIX_SOURCE) +#define PTW32_LEVEL 0 +/* Early POSIX */ +#endif + +#if defined(_POSIX_C_SOURCE) && _POSIX_C_SOURCE >= 199309 +#undef PTW32_LEVEL +#define PTW32_LEVEL 1 +/* Include 1b, 1c and 1d */ +#endif + +#if defined(INCLUDE_NP) +#undef PTW32_LEVEL +#define PTW32_LEVEL 2 +/* Include Non-Portable extensions */ +#endif + +#define PTW32_LEVEL_MAX 3 + +#if !defined(PTW32_LEVEL) +#define PTW32_LEVEL PTW32_LEVEL_MAX +/* Include everything */ +#endif + +#if __GNUC__ && ! defined (__declspec) +# error Please upgrade your GNU compiler to one that supports __declspec. +#endif + +/* + * When building the DLL code, you should define PTW32_BUILD so that + * the variables/functions are exported correctly. When using the DLL, + * do NOT define PTW32_BUILD, and then the variables/functions will + * be imported correctly. + */ +#ifndef PTW32_STATIC_LIB +# ifdef PTW32_BUILD +# define PTW32_DLLPORT __declspec (dllexport) +# else +# define PTW32_DLLPORT __declspec (dllimport) +# endif +#else +# define PTW32_DLLPORT +#endif + +/* + * This is a duplicate of what is in the autoconf config.h, + * which is only used when building the pthread-win32 libraries. + */ + +#ifndef PTW32_CONFIG_H +# if defined(WINCE) +# define NEED_ERRNO +# define NEED_SEM +# endif +# if defined(_UWIN) || defined(__MINGW32__) +# define HAVE_MODE_T +# endif +#endif + +/* + * + */ + +#if PTW32_LEVEL >= PTW32_LEVEL_MAX +#ifdef NEED_ERRNO +#include "need_errno.h" +#else +#include +#endif +#endif /* PTW32_LEVEL >= PTW32_LEVEL_MAX */ + +#define _POSIX_SEMAPHORES + +#ifdef __cplusplus +extern "C" +{ +#endif /* __cplusplus */ + +#ifndef HAVE_MODE_T +typedef unsigned int mode_t; +#endif + + +typedef struct sem_t_ * sem_t; + +PTW32_DLLPORT int __cdecl sem_init (sem_t * sem, + int pshared, + unsigned int value); + +PTW32_DLLPORT int __cdecl sem_destroy (sem_t * sem); + +PTW32_DLLPORT int __cdecl sem_trywait (sem_t * sem); + +PTW32_DLLPORT int __cdecl sem_wait (sem_t * sem); + +PTW32_DLLPORT int __cdecl sem_timedwait (sem_t * sem, + const struct timespec * abstime); + +PTW32_DLLPORT int __cdecl sem_post (sem_t * sem); + +PTW32_DLLPORT int __cdecl sem_post_multiple (sem_t * sem, + int count); + +PTW32_DLLPORT int __cdecl sem_open (const char * name, + int oflag, + mode_t mode, + unsigned int value); + +PTW32_DLLPORT int __cdecl sem_close (sem_t * sem); + +PTW32_DLLPORT int __cdecl sem_unlink (const char * name); + +PTW32_DLLPORT int __cdecl sem_getvalue (sem_t * sem, + int * sval); + +#ifdef __cplusplus +} /* End of extern "C" */ +#endif /* __cplusplus */ + +#undef PTW32_LEVEL +#undef PTW32_LEVEL_MAX + +#endif /* !SEMAPHORE_H */ diff --git a/mex/sources/korderpert/Dyn_pp/extern/matlab/Makefile b/mex/sources/korderpert/Dyn_pp/extern/matlab/Makefile new file mode 100644 index 000000000..3296c6c29 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/matlab/Makefile @@ -0,0 +1,129 @@ +CC = gcc +CC_FLAGS = -Wall -I../../sylv/cc -I../../tl/cc -I../../kord -I../../integ/cc \ + $(CC_INCLUDE_PATH) + +LDFLAGS = -llapack -lcblas -lf77blas -latlas -lg2c -lstdc++ + +ifeq ($(DEBUG),yes) + CC_FLAGS := $(CC_FLAGS) -g -DTL_DEBUG=2 +else + CC_FLAGS := $(CC_FLAGS) -O3 -DPOSIX_THREADS +endif + +ifeq ($(OS),Windows_NT) + CC_FLAGS := -mno-cygwin -mthreads $(CC_FLAGS) + LDFLAGS := -mno-cygwin -mthreads $(LDFLAGS) -lpthreadGC2 + ARCH := w32 + MEX_SUFFIX = dll +else + LDFLAGS := $(LDFLAGS) -lpthread + ARCH := linux + MEX_SUFFIX = mexglx +endif + +sylvcppsource := $(wildcard ../../sylv/cc/*.cpp) +sylvhsource := $(wildcard ../../sylv/cc/*.h) +sylvobjects := $(patsubst %.cpp, %.o, $(sylvcppsource)) + +tlcwebsource := $(wildcard ../../tl/cc/*.cweb) +tlcppsource := $(patsubst %.cweb,%.cpp,$(tlcwebsource)) +tlhwebsource := $(wildcard ../../tl/cc/*.hweb) +tlhsource := $(patsubst %.hweb,%.h,$(tlhwebsource)) +tlobjects := $(patsubst %.cweb,%.o,$(tlcwebsource)) + +kordcwebsource := $(wildcard ../../kord/*.cweb) +kordcppsource := $(patsubst %.cweb,%.cpp,$(kordcwebsource)) +kordhwebsource := $(wildcard ../../kord/*.hweb) +kordhsource := $(patsubst %.hweb,%.h,$(kordhwebsource)) +kordobjects := $(patsubst %.cweb,%.o,$(kordcwebsource)) + +integcwebsource := $(wildcard ../../integ/cc/*.cweb) +integcppsource := $(patsubst %.cweb,%.cpp,$(integcwebsource)) +integhwebsource := $(wildcard ../../integ/cc/*.hweb) +integhsource := $(patsubst %.hweb,%.h,$(integhwebsource)) +integobjects := $(patsubst %.cweb,%.o,$(integcwebsource)) + +cppsource := $(wildcard *.cpp) +mexobjects := $(patsubst %.cpp,%_.$(MEX_SUFFIX),$(cppsource)) + +all: $(mexobjects) + +../../tl/cc/dummy.ch: + make -C ../../tl/cc dummy.ch + +../../tl/cc/%.cpp: ../../tl/cc/%.cweb ../../tl/cc/dummy.ch + make -C ../../tl/cc $*.cpp + +../../tl/cc/%.h: ../../tl/cc/%.hweb ../../tl/cc/dummy.ch + make -C ../../tl/cc $*.h + +../../tl/cc/%.o: ../../tl/cc/%.cpp $(tlhsource) + make -C ../../tl/cc $*.o + +../../integ/cc/dummy.ch: + make -C ../../integ/cc dummy.ch + +../../integ/cc/%.cpp: ../../integ/cc/%.cweb ../../integ/cc/dummy.ch + make -C ../../integ/cc $*.cpp + +../../integ/cc/%.h: ../../integ/cc/%.hweb ../../integ/cc/dummy.ch + make -C ../../integ/cc $*.h + +../../integ/cc/%.o: ../../integ/cc/%.cpp $(integhsource) $(tlhsource) + make -C ../../integ/cc $*.o + + +../../sylv/cc/%.o: ../../sylv/cc/%.cpp $(sylvhsource) + make -C ../../sylv/cc $*.o + +../../kord/dummy.ch: + make -C ../../kord dummy.ch + +../../kord/%.cpp: ../../kord/%.cweb ../../kord/dummy.ch + make -C ../../kord $*.cpp + +../../kord/%.h: ../../kord/%.hweb ../../kord/dummy.ch + make -C ../../kord $*.h + +../../kord/%.o: ../../kord/%.cpp $(tlhsource) $(kordhsource) $(integhsource) + make -C ../../kord $*.o + + +dynarelib.a: $(tlhwebsource) $(tlcwebsoure) $(tlhsource) $(tlcppsource) \ + $(integhwebsource) $(integcwebsoure) $(integhsource) $(integcppsource) \ + $(kordhwebsource) $(kordcwebsoure) $(kordhsource) $(kordcppsource) \ + $(sylvhsource) $(sylvcppsource) \ + $(kordobjects) $(tlobjects) $(integobjects) $(sylvobjects) + ar cr dynarelib.a $(kordobjects) $(tlobjects) $(integobjects) $(sylvobjects) + ranlib dynarelib.a + + +# to compile mex objects for Windows do: +# 1. install gnumex +# 2. create mexopts.bat via gnumex in this directory, specify MinGW compilation, and dll output +# 3. change -Ic:/MATLAB71/extern/include according your Matlab setup +# 4. pray it works +# OR: just use the mexopt.bat from the repository and check MATLAB root directory +%_.$(MEX_SUFFIX): %.cpp $(tlhwebsource) $(tlcwebsoure) $(tlhsource) $(tlcppsource) \ + $(integhwebsource) $(integcwebsoure) $(integhsource) $(integcppsource) \ + $(kordhwebsource) $(kordcwebsoure) $(kordhsource) $(kordcppsource) \ + $(sylvhsource) $(sylvcppsource) \ + dynarelib.a +ifeq ($(OS),Windows_NT) + mex.bat -I../../sylv/cc -I../../tl/cc -I../../kord -I../../integ/cc COMPFLAGS\#"-c -DMATLAB_MEX_FILE -DPOSIX_THREADS" OPTIMFLAGS\#"-O3 -fexceptions -Ic:/MATLAB71/extern/include" GM_ADD_LIBS\#"$(LDFLAGS)" $*.cpp dynarelib.a +else + mex -I../../sylv/cc/ -I../../tl/cc -I../../kord -I../../integ/cc $*.cpp CFLAGS='$$CFLAGS -fexceptions' dynarelib.a +endif + mv $*.$(MEX_SUFFIX) $*_.$(MEX_SUFFIX) + +clear: + rm -f dynarelib.a + rm -f *.mexglx + rm -f *.dll + make -C ../../tl/testing clear + make -C ../../tl/cc clear + make -C ../../integ/testing clear + make -C ../../integ/cc clear + make -C ../../sylv/testing clear + make -C ../../sylv/cc clear + make -C ../../kord clear diff --git a/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.cpp b/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.cpp new file mode 100644 index 000000000..5a9d9c8ca --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.cpp @@ -0,0 +1,133 @@ +// $Id: dynare_simul.cpp 1488 2007-12-19 14:16:30Z kamenik $ + +// Copyright 2005, Ondra Kamenik + +// This is the mexFunction providing interface to +// DecisionRule<>::simulate(). It takes the following input +// parameters: +// order the order of approximation, needs order+1 derivatives +// nstat +// npred +// nboth +// nforw +// nexog +// ystart starting value (full vector of endogenous) +// shocks matrix of shocks (nexog x number of period) +// vcov covariance matrix of shocks (nexog x nexog) +// seed integer seed +// ysteady full vector of decision rule's steady +// ... order+1 matrices of derivatives + +// output: +// res simulated results + +#include "mex.h" + +#include "decision_rule.h" +#include "fs_tensor.h" +#include "SylvException.h" + +extern "C" { + void mexFunction(int nhls, mxArray* plhs[], + int nhrs, const mxArray* prhs[]) + { + if (nhrs < 12) + mexErrMsgTxt("Must have at least 12 input parameters.\n"); + if (nhls != 1) + mexErrMsgTxt("Must have exactly 1 output parameter.\n"); + + int order = (int)mxGetScalar(prhs[0]); + if (nhrs != 12 + order) { + mexErrMsgTxt("Must have exactly 11+order input parameters.\n"); + return; + } + + int nstat = (int)mxGetScalar(prhs[1]); + int npred = (int)mxGetScalar(prhs[2]); + int nboth = (int)mxGetScalar(prhs[3]); + int nforw = (int)mxGetScalar(prhs[4]); + int nexog = (int)mxGetScalar(prhs[5]); + + const mxArray* const ystart = prhs[6]; + const mxArray* const shocks = prhs[7]; + const mxArray* const vcov = prhs[8]; + int seed = (int)mxGetScalar(prhs[9]); + const mxArray* const ysteady = prhs[10]; + const int* const ystart_dim = mxGetDimensions(ystart); + const int* const shocks_dim = mxGetDimensions(shocks); + const int* const vcov_dim = mxGetDimensions(vcov); + const int* const ysteady_dim = mxGetDimensions(ysteady); + + int ny = nstat + npred + nboth + nforw; + if (ny != ystart_dim[0]) + mexErrMsgTxt("ystart has wrong number of rows.\n"); + if (1 != ystart_dim[1]) + mexErrMsgTxt("ystart has wrong number of cols.\n"); + int nper = shocks_dim[1]; + if (nexog != shocks_dim[0]) + mexErrMsgTxt("shocks has a wrong number of rows.\n"); + if (nexog != vcov_dim[0]) + mexErrMsgTxt("vcov has a wrong number of rows.\n"); + if (nexog != vcov_dim[1]) + mexErrMsgTxt("vcov has a wrong number of cols.\n"); + if (ny != ysteady_dim[0]) + mexErrMsgTxt("ysteady has wrong number of rows.\n"); + if (1 != ysteady_dim[1]) + mexErrMsgTxt("ysteady has wrong number of cols.\n"); + + mxArray* res = mxCreateDoubleMatrix(ny, nper, mxREAL); + + try { + // initialize tensor library + tls.init(order, npred+nboth+nexog); + + // form the polynomial + UTensorPolynomial pol(ny, npred+nboth+nexog); + for (int dim = 0; dim <= order; dim++) { + const mxArray* gk = prhs[11+dim]; + const int* const gk_dim = mxGetDimensions(gk); + FFSTensor ft(ny, npred+nboth+nexog, dim); + if (ft.ncols() != gk_dim[1]) { + char buf[1000]; + sprintf(buf, "Wrong number of columns for folded tensor: got %d but I want %d\n", + gk_dim[1], ft.ncols()); + mexErrMsgTxt(buf); + } + if (ft.nrows() != gk_dim[0]) { + char buf[1000]; + sprintf(buf, "Wrong number of rows for folded tensor: got %d but I want %d\n", + gk_dim[0], ft.nrows()); + mexErrMsgTxt(buf); + } + ft.zeros(); + ConstTwoDMatrix gk_mat(ft.nrows(), ft.ncols(), mxGetPr(gk)); + ft.add(1.0, gk_mat); + UFSTensor* ut = new UFSTensor(ft); + pol.insert(ut); + } + // form the decision rule + UnfoldDecisionRule + dr(pol, PartitionY(nstat, npred, nboth, nforw), + nexog, ConstVector(mxGetPr(ysteady), ny)); + // form the shock realization + TwoDMatrix shocks_mat(nexog, nper, (const double*)mxGetPr(shocks)); + TwoDMatrix vcov_mat(nexog, nexog, (const double*)mxGetPr(vcov)); + GenShockRealization sr(vcov_mat, shocks_mat, seed); + // simulate and copy the results + Vector ystart_vec((const double*)mxGetPr(ystart), ny); + TwoDMatrix* res_mat = + dr.simulate(DecisionRule::horner, nper, + ystart_vec, sr); + TwoDMatrix res_tmp_mat(ny, nper, mxGetPr(res)); + res_tmp_mat = (const TwoDMatrix&)(*res_mat); + delete res_mat; + plhs[0] = res; + } catch (const KordException& e) { + mexErrMsgTxt("Caugth Kord exception."); + } catch (const TLException& e) { + mexErrMsgTxt("Caugth TL exception."); + } catch (SylvException& e) { + mexErrMsgTxt("Caught Sylv exception."); + } + } +}; diff --git a/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.m b/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.m new file mode 100644 index 000000000..d70b90c83 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/extern/matlab/dynare_simul.m @@ -0,0 +1,160 @@ +% +% SYNOPSIS +% +% r = dynare_simul(name, shocks) +% r = dynare_simul(name, prefix, shocks) +% r = dynare_simul(name, shocks, start) +% r = dynare_simul(name, prefix, shocks, start) +% +% name name of MAT-file produced by dynare++ +% prefix prefix of variables in the MAT-file +% shocks matrix of shocks +% start zero period value +% +% SEMANTICS +% +% The command reads a decision rule from the MAT-file having the given +% prefix. Then it starts simulating the decision rule with zero time value +% equal to the given start. It uses the given shocks for the simulation. If +% the start is not given, the state about which the decision rule is +% centralized is taken (called fix point, or stochastic steady state, take +% your pick). +% +% prefix Use the prefix with which you called dynare++, the default +% prefix in dynare++ is 'dyn'. +% shocks Number of rows must be a number of exogenous shocks, +% number of columns gives the number of simulated +% periods. NaNs and Infs in the matrix are substitued by +% draws from the normal distribution using the covariance +% matrix given in the model file. +% start Vector of endogenous variables in the ordering given by +% _vars. +% +% Seed for random generator is derived from calling rand(1,1). Therefore, +% seeding can be controlled with rand('state') and rand('state',some_seed). +% +% EXAMPLES +% +% All examples suppose that the prefix is 'dyn' and that your_model.mat +% has been loaded into Matlab. +% +% 1. response to permanent negative shock to the third exo var EPS3 for +% 100 periods +% +% shocks = zeros(4,100); % 4 exogenous variables in the model +% shocks(dyn_i_EPS3,:) = -0.1; % the permanent shock to EPS3 +% r = dynare_simul('your_model.mat',shocks); +% +% 2. one stochastic simulation for 100 periods +% +% shocks = zeros(4,100)./0; % put NaNs everywhere +% r = dynare_simul('your_model.mat',shocks); +% +% 3. one stochastic simulation starting at 75% undercapitalized economy +% +% shocks = zeros(4,100)./0; % put NaNs everywhere +% ystart = dyn_ss; % get copy of DR fix point +% ystart(dyn_i_K) = 0.75*dyn_ss(dyn_i_K); % scale down the capital +% r = dynare_simul('your_model.mat',shocks,ystart); +% +% +% SEE ALSO +% +% "DSGE Models with Dynare++. A Tutorial.", Ondra Kamenik, 2005 + +function r = dynare_simul(varargin) + +% get the file name and load data +fname = varargin{1}; +eval(['load ' fname]); + +% set prefix, shocks, ystart +if ischar(varargin{2}) + prefix = varargin{2}; + if length(varargin) == 3 + shocks = varargin{3}; + ystart = NaN; + elseif length(varargin) == 4 + shocks = varargin{3}; + ystart = varargin{4}; + else + error('Wrong number of parameters.'); + end +else + prefix = 'dyn'; + if length(varargin) == 2 + shocks = varargin{2}; + ystart = NaN; + elseif length(varargin) == 3 + shocks = varargin{2}; + ystart = varargin{3}; + else + error('Wrong number of parameters.'); + end +end + +% load all needed variables but prefix_g_* +if (exist([prefix '_nstat'])) + nstat = eval([prefix '_nstat']); +else + error(['Could not find variable ' prefix '_nstat in workspace']); +end +if (exist([prefix '_npred'])) + npred = eval([prefix '_npred']); +else + error(['Could not find variable ' prefix '_npred in workspace']); +end +if (exist([prefix '_nboth'])) + nboth = eval([prefix '_nboth']); +else + error(['Could not find variable ' prefix '_nboth in workspace']); +end +if (exist([prefix '_nforw'])) + nforw = eval([prefix '_nforw']); +else + error(['Could not find variable ' prefix '_nforw in workspace']); +end +if (exist([prefix '_ss'])) + ss = eval([prefix '_ss']); +else + error(['Could not find variable ' prefix '_ss in workspace']); +end +if (exist([prefix '_vcov_exo'])) + vcov_exo = eval([prefix '_vcov_exo']); +else + error(['Could not find variable ' prefix '_vcov_exo in workspace']); +end +nexog = size(vcov_exo,1); + +if isnan(ystart) + ystart = ss; +end + +% newer version of dynare++ doesn't return prefix_g_0, we make it here if +% it does not exist in workspace +g_zero = [prefix '_g_0']; +if (~ exist(g_zero)) + eval([ g_zero '= zeros(nstat+npred+nboth+nforw,1);']); +end + +% make derstr a string of comma seperated existing prefix_g_* +derstr = [',' g_zero]; +order = 1; +cont = 1; +while cont == 1 + g_ord = [prefix '_g_' num2str(order)]; + if (exist(g_ord)) + derstr = [derstr ',' g_ord]; + order = order + 1; + else + cont = 0; + end +end + +% set seed +seed = ceil(10000*rand(1,1)); + +% call dynare_simul_ +command = ['r=dynare_simul_(' num2str(order-1) ',nstat,npred,nboth,nforw,' ... + 'nexog,ystart,shocks,vcov_exo,seed,ss' derstr ');']; +eval(command); diff --git a/mex/sources/korderpert/Dyn_pp/extern/matlab/dynarelib.a b/mex/sources/korderpert/Dyn_pp/extern/matlab/dynarelib.a new file mode 100644 index 0000000000000000000000000000000000000000..23c7f748b8bbb673c12efb824f11953886914180 GIT binary patch literal 2573780 zcmeFa4UnYCRUlRaI?xFLG6)b@!0>D0Af)=Ls;jykii@3{=~=aVwzui(X~bGVsiymz zncA(c>aD7tol(dR&Ow}QLUG1tj4_taYm6Nj%NSo^LdG(d&lqDYpJi;{$%KL!V-901 zWBH6Ra5DDGpZ79f=F9xP>aL!hmAXTvoiFqK<;$0uFEd|ee%pJ7v%~v;`7Q6h%KwU1 zv9aD>Yjt~9uQqj-|NmF77V8^p?Uu^;z*`!Pul?S}m;AlozWiP4;L-*zZQ#-dE^Xk_ z1}<&j(gteUz?c7nPd6@qmpZt#flC{>w1FpY17C6NhZ`6EJN#VZD=vSRI=HlfCt?F% 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zLc-=@wdfKdY{1hyhx6iH=$$ZsU@cfNk6-K~`!{_NwJ=Tq;+JZQRF@w5}h? zxVLdvfQtHads1zFaf)XfmneCO_eq6pY^s1HlnHK)kbtDAZEf6Y-J-58_|5DXE{kwFHDREfJG8P#Yem?h*dss27ZE#XtK>t zkU@4AebR2odhCYGBT99S*@(Uc-&I7A`$bel6%&bqD-H<4NZ#P8lI=PG^F4_$tv5&JG!mUMZL{o)00f+ZDIoaZ9fC+-CFl-g@ zoh(;-?V8DUkOj;p8_`3kVtcnC&KuEWK&;zrM9WtSed;!oQ||aGvemT_EjM0fz>4IJ zXd{HTxR0}r9R@4_3={?3>F#|o(WFwmI`8>ZJsdj=g;f-k0DI3w0nH7HnpQ=8HK(TupNwED^Vhb_J zO?laf-UAW8QlvQ)Ta&Z1wFu zN6DhD5lB*9i*G==T8(Ti%HA_E%QjjY(7|k@Jx8~W#E&^NlCXWsD?`V-Jf^lIW-AOixid0wtvdE+IHZKVX^dtSA3Kv6N5_Zn4J z*mJX4=$Sko-ZA$_I(kK^ww=iqSzfM@+eD_&-ifBfP_^Vs zP-{mW%SxSAeIo|oHX5~FOiu8VA^C)`t-XeC$auCSaFZR0YU#;~PVA!D)gxjXYOStZ zB%Qrpa#{aj7I!GM3`P5u&YZ|0x */ + virtual void solvePre(Vector& x, double& eig_min); + /* (I+T')y = x, y-->x */ + virtual void solvePreTrans(Vector& x, double& eig_min); + /* (I+T)x = b */ + virtual void solve(Vector& x, const ConstVector& b, double& eig_min); + /* (I+T')x = b */ + virtual void solveTrans(Vector& x, const ConstVector& b, double& eig_min); + /* x = Tb */ + virtual void multVec(Vector& x, const ConstVector& b) const; + /* x = T'b */ + virtual void multVecTrans(Vector& x, const ConstVector& b) const; + /* x = x + Tb */ + virtual void multaVec(Vector& x, const ConstVector& b) const; + /* x = x + T'b */ + virtual void multaVecTrans(Vector& x, const ConstVector& b) const; + /* x = (T\otimes I)x */ + virtual void multKron(KronVector& x) const; + /* x = (T'\otimes I)x */ + virtual void multKronTrans(KronVector& x) const; + /* A = T*A */ + virtual void multLeftOther(GeneralMatrix& a) const; + /* A = T'*A */ + virtual void multLeftOtherTrans(GeneralMatrix& a) const; + + const_diag_iter diag_begin() const + {return diagonal.begin();} + diag_iter diag_begin() + {return diagonal.begin();} + const_diag_iter diag_end() const + {return diagonal.end();} + diag_iter diag_end() + {return diagonal.end();} + + /* iterators for off diagonal elements */ + virtual const_col_iter col_begin(const DiagonalBlock& b) const; + virtual col_iter col_begin(const DiagonalBlock& b); + virtual const_row_iter row_begin(const DiagonalBlock& b) const; + virtual row_iter row_begin(const DiagonalBlock& b); + virtual const_col_iter col_end(const DiagonalBlock& b) const; + virtual col_iter col_end(const DiagonalBlock& b); + virtual const_row_iter row_end(const DiagonalBlock& b) const; + virtual row_iter row_end(const DiagonalBlock& b); + + /* clone */ + virtual QuasiTriangular* clone() const + {return new QuasiTriangular(*this);} + virtual QuasiTriangular* clone(int p, const QuasiTriangular& t) const + {return new QuasiTriangular(p, t);} + virtual QuasiTriangular* clone(double r) const + {return new QuasiTriangular(r, *this);} + virtual QuasiTriangular* clone(double r, double rr, const QuasiTriangular& tt) const + {return new QuasiTriangular(r, *this, rr, tt);} +protected: + void setMatrix(double r, const QuasiTriangular& t); + void addMatrix(double r, const QuasiTriangular& t); +private: + void addUnit(); + /* x = x + (T\otimes I)b */ + void multaKron(KronVector& x, const ConstKronVector& b) const; + /* x = x + (T'\otimes I)b */ + void multaKronTrans(KronVector& x, const ConstKronVector& b) const; + /* implementation via iterators, useful for large matrices */ + void setMatrixViaIter(double r, const QuasiTriangular& t); + void addMatrixViaIter(double r, const QuasiTriangular& t); + /* hide noneffective implementations of parents */ + void multsVec(Vector& x, const ConstVector& d) const; + void multsVecTrans(Vector& x, const ConstVector& d) const; +}; + +#endif /* QUASI_TRIANGULAR_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.cpp new file mode 100644 index 000000000..49054970d --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.cpp @@ -0,0 +1,148 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/QuasiTriangularZero.cpp,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "QuasiTriangularZero.h" +#include "SchurDecomp.h" +#include "SylvMatrix.h" +#include "SylvException.h" + +#include + +QuasiTriangularZero::QuasiTriangularZero(int num_zeros, const double* d, + int d_size) + : QuasiTriangular(SqSylvMatrix(GeneralMatrix(d, num_zeros+d_size, d_size), + num_zeros, 0, d_size).getData().base(), + d_size), + nz(num_zeros), + ru(GeneralMatrix(d, num_zeros+d_size, d_size), 0, 0, num_zeros, d_size) +{ +} + +QuasiTriangularZero::QuasiTriangularZero(double r, + const QuasiTriangularZero& t) + : QuasiTriangular(r, t), + nz(t.nz), + ru(t.ru) +{ + ru.mult(r); +} + +QuasiTriangularZero::QuasiTriangularZero(double r, + const QuasiTriangularZero& t, + double rr, + const QuasiTriangularZero& tt) + : QuasiTriangular(r, t, rr, tt), + nz(t.nz), + ru(t.ru) +{ + ru.mult(r); + ru.add(rr, tt.ru); +} + +QuasiTriangularZero::QuasiTriangularZero(int p, const QuasiTriangularZero& t) + : QuasiTriangular(p, t), + nz(t.nz), + ru(t.ru) +{ + ru.multRight(t); +} + +QuasiTriangularZero::QuasiTriangularZero(const SchurDecompZero& decomp) + : QuasiTriangular(decomp.getT().getData().base(), + decomp.getT().numRows()), + nz(decomp.getZeroCols()), + ru(decomp.getRU()) +{ +} + +QuasiTriangularZero::QuasiTriangularZero(const QuasiTriangular& t) + : QuasiTriangular(t), + nz(0), ru(0, t.getDiagonal().getSize()) +{ +} + +QuasiTriangularZero::~QuasiTriangularZero() +{ +} + +void QuasiTriangularZero::solvePre(Vector& x, double& eig_min) +{ + Vector xu(x, 0, nz); + Vector xl(x, nz, x.length()-nz); + QuasiTriangular::solvePre(xl, eig_min); + ru.multsVec(xu, xl); + if (nz > 0) + eig_min = (eig_min > 1.0)? 1.0 : eig_min; +} + +void QuasiTriangularZero::solvePreTrans(Vector& x, double& eig_min) +{ + Vector xu(x, 0, nz); + Vector xl(x, nz, x.length()-nz); + ru.multsVecTrans(xl, xu); + QuasiTriangular::solvePreTrans(xl, eig_min); + if (nz > 0) + eig_min = (eig_min > 1.0)? 1.0 : eig_min; +} + +void QuasiTriangularZero::multVec(Vector& x, const ConstVector& b) const +{ + x.zeros(); + multaVec(x, b); +} + +void QuasiTriangularZero::multVecTrans(Vector& x, const ConstVector& b) const +{ + x.zeros(); + multaVecTrans(x, b); +} + +void QuasiTriangularZero::multaVec(Vector& x, const ConstVector& b) const +{ + ConstVector bl(b, nz, b.length()-nz); + Vector xu(x, 0, nz); + Vector xl(x, nz, x.length()-nz); + xu.zeros(); + ru.multaVec(xu, bl); + QuasiTriangular::multVec(xl, bl); +} + +void QuasiTriangularZero::multaVecTrans(Vector& x, const ConstVector& b) const +{ + ConstVector bu(b, 0, b.length()); + ConstVector bl(b, nz, b.length()-nz); + Vector xu(x, 0, nz); + Vector xl(x, nz, x.length()-nz); + xu.zeros(); + QuasiTriangular::multVecTrans(xl, bl); + ru.multaVecTrans(xl, bu); +} + +void QuasiTriangularZero::multLeftOther(GeneralMatrix& a) const +{ + GeneralMatrix a1(a, 0, 0, nz, a.numCols()); + GeneralMatrix a2(a, nz, 0, a.numRows()-nz, a.numCols()); + a1.mult(ru, a2); + QuasiTriangular::multLeftOther(a2); +} + +void QuasiTriangularZero::print() const +{ + printf("super=\n"); + QuasiTriangular::print(); + printf("nz=%d\n",nz); + printf("ru=\n"); + ru.print(); +} + +void QuasiTriangularZero::multKron(KronVector& x) const +{ + throw SYLV_MES_EXCEPTION("Attempt to run QuasiTriangularZero::multKron."); +} + +void QuasiTriangularZero::multKronTrans(KronVector& x) const +{ + throw SYLV_MES_EXCEPTION("Attempt to run QuasiTriangularZero::multKronTrans."); +} + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.h new file mode 100644 index 000000000..6396eed18 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/QuasiTriangularZero.h @@ -0,0 +1,48 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/QuasiTriangularZero.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef QUASI_TRIANGULAR_ZERO_H +#define QUASI_TRIANGULAR_ZERO_H + +#include "QuasiTriangular.h" +#include "GeneralMatrix.h" + +class QuasiTriangularZero : public QuasiTriangular { + int nz; // number of zero columns + GeneralMatrix ru; // data in right upper part (nz,d_size) +public: + QuasiTriangularZero(int num_zeros, const double* d, int d_size); + QuasiTriangularZero(double r, const QuasiTriangularZero& t); + QuasiTriangularZero(double r, const QuasiTriangularZero& t, + double rr, const QuasiTriangularZero& tt); + QuasiTriangularZero(int p, const QuasiTriangularZero& t); + QuasiTriangularZero(const QuasiTriangular& t); + QuasiTriangularZero(const SchurDecompZero& decomp); + ~QuasiTriangularZero(); + void solvePre(Vector& x, double& eig_min); + void solvePreTrans(Vector& x, double& eig_min); + void multVec(Vector& x, const ConstVector& b) const; + void multVecTrans(Vector& x, const ConstVector& b) const; + void multaVec(Vector& x, const ConstVector& b) const; + void multaVecTrans(Vector& x, const ConstVector& b) const; + void multKron(KronVector& x) const; + void multKronTrans(KronVector& x) const; + void multLeftOther(GeneralMatrix& a) const; + /* clone */ + virtual QuasiTriangular* clone() const + {return new QuasiTriangularZero(*this);} + virtual QuasiTriangular* clone(int p, const QuasiTriangular& t) const + {return new QuasiTriangularZero(p, (const QuasiTriangularZero&)t);} + virtual QuasiTriangular* clone(double r) const + {return new QuasiTriangularZero(r, *this);} + virtual QuasiTriangular* clone(double r, double rr, const QuasiTriangular& tt) const + {return new QuasiTriangularZero(r, *this, rr, (const QuasiTriangularZero&)tt);} + void print() const; +}; + +#endif /* QUASI_TRIANGULAR_ZERO_H */ + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.cpp new file mode 100644 index 000000000..63fe59ceb --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.cpp @@ -0,0 +1,71 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SchurDecomp.cpp,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SchurDecomp.h" + +#include "cpplapack.h" + +SchurDecomp::SchurDecomp(const SqSylvMatrix& m) + : q_destroy(true), t_destroy(true) +{ + int rows = m.numRows(); + q = new SqSylvMatrix(rows); + SqSylvMatrix auxt(m); + int sdim; + double* const wr = new double[rows]; + double* const wi = new double[rows]; + int lwork = 6*rows; + double* const work = new double[lwork]; + int info; + LAPACK_dgees("V", "N", 0, &rows, auxt.base(), &rows, &sdim, + wr, wi, q->base(), &rows, + work, &lwork, 0, &info); + delete [] work; + delete [] wi; + delete [] wr; + t = new QuasiTriangular(auxt.base(), rows); +} + +SchurDecomp::SchurDecomp(const QuasiTriangular& tr) + : q_destroy(true), t_destroy(true) +{ + q = new SqSylvMatrix(tr.numRows()); + q->setUnit(); + t = new QuasiTriangular(tr); +} + +SchurDecomp::SchurDecomp(QuasiTriangular& tr) + : q_destroy(true), t_destroy(false) +{ + q = new SqSylvMatrix(tr.numRows()); + q->setUnit(); + t = &tr; +} + +SchurDecomp::~SchurDecomp() +{ + if (t_destroy) + delete t; + if (q_destroy) + delete q; +} + +int SchurDecomp::getDim() const +{ + return t->numRows(); +} + +SchurDecompZero::SchurDecompZero(const GeneralMatrix& m) + : SchurDecomp(SqSylvMatrix(m, m.numRows()-m.numCols(), 0, m.numCols())), + ru(m, 0, 0, m.numRows()-m.numCols(), m.numCols()) +{ + ru.multRight(getQ()); +} + +int SchurDecompZero::getDim() const +{ + return getT().numRows()+ru.numRows(); +} + + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.h new file mode 100644 index 000000000..644e5d5c5 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecomp.h @@ -0,0 +1,43 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SchurDecomp.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SCHUR_DECOMP_H +#define SCHUR_DECOMP_H + +#include "SylvMatrix.h" +#include "QuasiTriangular.h" + +class QuasiTriangular; +class SchurDecomp { + bool q_destroy; + SqSylvMatrix* q; + bool t_destroy; + QuasiTriangular* t; +public: + SchurDecomp(const SqSylvMatrix& m); + SchurDecomp(const QuasiTriangular& tr); + SchurDecomp(QuasiTriangular& tr); + const SqSylvMatrix& getQ() const {return *q;} + const QuasiTriangular& getT() const {return *t;} + SqSylvMatrix& getQ() {return *q;} + QuasiTriangular& getT() {return *t;} + virtual int getDim() const; + virtual ~SchurDecomp(); +}; + +class SchurDecompZero : public SchurDecomp { + GeneralMatrix ru; /* right upper matrix */ +public: + SchurDecompZero(const GeneralMatrix& m); + const GeneralMatrix& getRU() const {return ru;} + int getDim() const; + int getZeroCols() const {return ru.numRows();} +}; + +#endif /* SCHUR_DECOMP_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.cpp new file mode 100644 index 000000000..623ad3c5a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.cpp @@ -0,0 +1,91 @@ +#include "SchurDecompEig.h" +#include "SylvException.h" +#include "cpplapack.h" + +/* bubble diagonal 1-1, or 2-2 block from position 'from' to position + * 'to'. If an eigenvalue cannot be swapped with its neighbour, the + * neighbour is bubbled also in front. The method returns a new + * position 'to', where the original block pointed by 'to' happens to + * appear at the end. 'from' must be greater than 'to'. + */ +SchurDecompEig::diag_iter +SchurDecompEig::bubbleEigen(diag_iter from, diag_iter to) +{ + diag_iter run = from; + while (run != to) { + diag_iter runm = run; + if (!tryToSwap(run, runm) && runm == to) { + ++to; + } else { + // bubble all eigenvalues from runm(incl.) to run(excl.), + // this includes either bubbling generated eigenvalues due + // to split, or an eigenvalue which couldn't be swapped + while (runm != run) { + to = bubbleEigen(runm, to); + ++runm; + } + } + } + return to; +} + +/* this tries to swap two neighbouring eigenvalues, 'it' and '--it', + * and returns 'itadd'. If the blocks can be swapped, new eigenvalues + * can emerge due to possible 2-2 block splits. 'it' then points to + * the last eigenvalue coming from block pointed by 'it' at the + * begining, and 'itadd' points to the first. On swap failure, 'it' is + * not changed, and 'itadd' points to previous eignevalue (which must + * be moved backwards before). In either case, it is necessary to + * resolve eigenvalues from 'itadd' to 'it', before the 'it' can be + * resolved. + * The success is signaled by returned true. + */ +bool SchurDecompEig::tryToSwap(diag_iter& it, diag_iter& itadd) +{ + itadd = it; + --itadd; + + int n = getDim(); + int ifst = (*it).getIndex() + 1; + int ilst = (*itadd).getIndex() + 1; + double* work = new double[n]; + int info; + LAPACK_dtrexc("V", &n, getT().base(), &n, getQ().base(), &n, &ifst, &ilst, work, + &info); + delete [] work; + if (info < 0) { + throw SYLV_MES_EXCEPTION("Wrong argument to LAPACK_dtrexc."); + } + + if (info == 0) { + // swap successful + getT().swapDiagLogically(itadd); + //check for 2-2 block splits + getT().checkDiagConsistency(it); + getT().checkDiagConsistency(itadd); + // and go back by 'it' in NEW eigenvalue set + --it; + return true; + } + return false; +} + + +void SchurDecompEig::orderEigen() +{ + diag_iter run = getT().diag_begin(); + diag_iter runp = run; + ++runp; + double last_size = 0.0; + while (runp != getT().diag_end()) { + diag_iter least = getT().findNextLargerBlock(run, getT().diag_end(), + last_size); + last_size = (*least).getSize(); + if (run == least) + ++run; + else + run = bubbleEigen(least, run); + runp = run; + ++runp; + } +} diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.h new file mode 100644 index 000000000..0e0da38d5 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SchurDecompEig.h @@ -0,0 +1,31 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SchurDecompEig.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +// contains algorithms for eigenvalue reordering + +#ifndef SCHUR_DECOMP_EIG_H +#define SCHUR_DECOMP_EIG_H + +#include "SchurDecomp.h" +#include "QuasiTriangular.h" + +class SchurDecompEig : public SchurDecomp { +public: + typedef QuasiTriangular::diag_iter diag_iter; + SchurDecompEig(const SqSylvMatrix& m) : SchurDecomp(m) {} + SchurDecompEig(const QuasiTriangular& tr) : SchurDecomp(tr) {}; + SchurDecompEig(QuasiTriangular& tr) : SchurDecomp(tr) {} + diag_iter bubbleEigen(diag_iter from, diag_iter to); + void orderEigen(); +protected: + bool tryToSwap(diag_iter& it, diag_iter& itadd); +}; + +#endif /* SCHUR_DECOMP_EIG_H */ + + +// Local Variables: +// mode:C++ +// End: + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.cpp new file mode 100644 index 000000000..3b62e957f --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.cpp @@ -0,0 +1,160 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SimilarityDecomp.cpp,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SimilarityDecomp.h" +#include "SchurDecomp.h" +#include "SchurDecompEig.h" +#include "SylvException.h" + +#include "cpplapack.h" + +#include + +SimilarityDecomp::SimilarityDecomp(const double* d, int d_size, double log10norm) +{ + SchurDecomp sd(SqSylvMatrix(d, d_size)); + q = new SqSylvMatrix(sd.getQ()); + b = new BlockDiagonal(sd.getT()); + invq = new SqSylvMatrix(d_size); + invq->setUnit(); + invq->multLeftTrans(sd.getQ()); + double norm = pow(10.0, log10norm); + diagonalize(norm); +} + +SimilarityDecomp::~SimilarityDecomp() +{ + delete invq; + delete b; + delete q; +} + +void SimilarityDecomp::getXDim(diag_iter start, diag_iter end, + int &rows, int& cols) const +{ + int si = (*start).getIndex(); + int ei = (*end).getIndex(); + cols = b->numRows() - ei; + rows = ei - si; +} + +/* find solution of X for diagonal block given by start(incl.) and + * end(excl.). If the solution cannot be found, or it is greater than + * norm, X is not changed and flase is returned. + */ +bool SimilarityDecomp::solveX(diag_iter start, diag_iter end, + GeneralMatrix& X, double norm) const +{ + int si = (*start).getIndex(); + int ei = (*end).getIndex(); + + SqSylvMatrix A((const GeneralMatrix&)*b, si, si, X.numRows()); + SqSylvMatrix B((const GeneralMatrix&)*b, ei, ei, X.numCols()); + GeneralMatrix C((const GeneralMatrix&)*b, si, ei, X.numRows(), X.numCols()); + + int isgn = -1; + int m = A.numRows(); + int n = B.numRows(); + double scale; + int info; + LAPACK_dtrsyl("N", "N", &isgn, &m, &n, A.base(), &m, B.base(), &n, + C.base(), &m, &scale, &info); + if (info < -1) + throw SYLV_MES_EXCEPTION("Wrong parameter to LAPACK dtrsyl."); + + if (info == 1 || scale < 1) + return false; + if (C.getData().getMax() > norm) + return false; + + X = C; + return true; +} + +/* multiply Q and invQ with (I -X; 0 I), and (I X; 0 I). This also sets X=-X. */ +void SimilarityDecomp::updateTransform(diag_iter start, diag_iter end, + GeneralMatrix& X) +{ + int si = (*start).getIndex(); + int ei = (*end).getIndex(); + + SqSylvMatrix iX(q->numRows()); + iX.setUnit(); + iX.place(X, si, ei); + invq->GeneralMatrix::multLeft(iX); + + iX.setUnit(); + X.mult(-1.0); + iX.place(X, si, ei); + q->multRight(iX); +} + +void SimilarityDecomp::bringGuiltyBlock(diag_iter start, diag_iter& end) +{ + double av = b->getAverageDiagSize(start, end); + diag_iter guilty = b->findClosestDiagBlock(end, b->diag_end(), av); + SchurDecompEig sd((QuasiTriangular&)*b); // works on b including diagonal structure + end = sd.bubbleEigen(guilty, end); // iterators are valid + ++end; + q->multRight(sd.getQ()); + invq->multLeftTrans(sd.getQ()); +} + +void SimilarityDecomp::diagonalize(double norm) +{ + diag_iter start = b->diag_begin(); + diag_iter end = start; + ++end; + + while (end != b->diag_end()) { + int xrows; + int xcols; + getXDim(start, end, xrows, xcols); + GeneralMatrix X(xrows, xcols); + if (solveX(start, end, X, norm)) { + updateTransform(start, end, X); + b->setZeroBlockEdge(end); + start = end; + ++end; + } else { + bringGuiltyBlock(start, end); // moves with end + } + } +} + +void SimilarityDecomp::check(SylvParams& pars, const GeneralMatrix& m) const +{ + // M - Q*B*inv(Q) + SqSylvMatrix c(getQ(), getB()); + c.multRight(getInvQ()); + c.add(-1.0, m); + pars.f_err1 = c.getNorm1(); + pars.f_errI = c.getNormInf(); + + // I - Q*inv(Q) + c.setUnit(); + c.mult(-1); + c.multAndAdd(getQ(), getInvQ()); + pars.viv_err1 = c.getNorm1(); + pars.viv_errI = c.getNormInf(); + + // I - inv(Q)*Q + c.setUnit(); + c.mult(-1); + c.multAndAdd(getInvQ(), getQ()); + pars.ivv_err1 = c.getNorm1(); + pars.ivv_errI = c.getNormInf(); +} + +void SimilarityDecomp::infoToPars(SylvParams& pars) const +{ + pars.f_blocks = getB().getNumBlocks(); + pars.f_largest = getB().getLargestBlock(); + pars.f_zeros = getB().getNumZeros(); + pars.f_offdiag = getB().getNumOffdiagonal(); +} + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.h new file mode 100644 index 000000000..14f79297a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SimilarityDecomp.h @@ -0,0 +1,41 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SimilarityDecomp.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SIMILARITY_DECOMP_H +#define SIMILARITY_DECOMP_H + +#include "SylvMatrix.h" +#include "BlockDiagonal.h" +#include "SylvParams.h" + +class SimilarityDecomp { + SqSylvMatrix* q; + BlockDiagonal* b; + SqSylvMatrix* invq; + typedef BlockDiagonal::diag_iter diag_iter; +public: + SimilarityDecomp(const double* d, int d_size, double log10norm = 3.0); + virtual ~SimilarityDecomp(); + const SqSylvMatrix& getQ() const + {return *q;} + const SqSylvMatrix& getInvQ() const + {return *invq;} + const BlockDiagonal& getB() const + {return *b;} + void check(SylvParams& pars, const GeneralMatrix& m) const; + void infoToPars(SylvParams& pars) const; +protected: + void getXDim(diag_iter start, diag_iter end, int& rows, int& cols) const; + bool solveX(diag_iter start, diag_iter end, GeneralMatrix& X, double norm) const; + void updateTransform(diag_iter start, diag_iter end, GeneralMatrix& X); + void bringGuiltyBlock(diag_iter start, diag_iter& end); + void diagonalize(double norm); +}; + +#endif /* SIMILARITY_DECOMP_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.cpp new file mode 100644 index 000000000..71466ea5e --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.cpp @@ -0,0 +1,69 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvException.cpp,v 1.2 2004/10/01 10:30:40 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SylvException.h" + +#include +#include + +SylvException::SylvException(const char* f, int l, const SylvException* s) +{ + strcpy(file,f); + line = l; + source = s; +} + +SylvException::~SylvException() +{ + if (source != NULL) { + delete source; + } +} + +void SylvException::printMessage() const +{ + char mes[1500]; + mes[0] = '\0'; + printMessage(mes, 1499); + printf(mes); +} + +int SylvException::printMessage(char* str, int maxlen) const +{ + int remain = maxlen; + if (source != NULL) { + remain = source->printMessage(str, maxlen); + } + char aux[100]; + sprintf(aux, "From %s:%d\n", file, line); + int newremain = remain - strlen(aux); + if (newremain < 0) { + aux[remain] = '\0'; + newremain = 0; + } + strcat(str, aux); + return newremain; +} + +SylvExceptionMessage::SylvExceptionMessage(const char* f, int i, + const char* mes) + : SylvException(f,i,NULL) +{ + strcpy(message,mes); +} + +int SylvExceptionMessage::printMessage(char* str, int maxlen) const +{ + char aux[600]; + sprintf(aux, "At %s:%d:%s\n", file, line, message); + int newremain = maxlen - strlen(aux); + if (newremain < 0) { + aux[maxlen] = '\0'; + newremain = 0; + } + strcat(str, aux); + return newremain; +} + + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.h new file mode 100644 index 000000000..f3c22338a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvException.h @@ -0,0 +1,39 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvException.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYLV_EXCEPTION_H +#define SYLV_EXCEPTION_H + +#include "SylvMemory.h" + + +class SylvException : public MallocAllocator { +protected: + char file[50]; + int line; + const SylvException* source; +public: + SylvException(const char* f, int l, const SylvException* s); + virtual ~SylvException(); + virtual int printMessage(char* str, int maxlen) const; + void printMessage() const; +}; + +class SylvExceptionMessage : public SylvException { + char message[500]; +public: + SylvExceptionMessage(const char* f, int l, const char* mes); + virtual int printMessage(char* str, int maxlen) const; +}; + +// define macros: +#define SYLV_EXCEPTION(exc) (SylvException(__FILE__, __LINE__, exc)) +#define SYLV_MES_EXCEPTION(mes) (SylvExceptionMessage(__FILE__, __LINE__, mes)) + +#endif /* SYLV_EXCEPTION_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.cpp new file mode 100644 index 000000000..e228d73a9 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.cpp @@ -0,0 +1,251 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvMatrix.cpp,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SylvException.h" +#include "SylvMatrix.h" + +#include "cppblas.h" +#include "cpplapack.h" + +#include +#include +#include + +void SylvMatrix::multLeftI(const SqSylvMatrix& m) +{ + int off = rows - m.numRows(); + if (off < 0) { + throw SYLV_MES_EXCEPTION("Wrong matrix dimensions for multLeftI."); + } + GeneralMatrix subtmp(*this, off, 0, m.numRows(), cols); + subtmp.multLeft(m); +} + +void SylvMatrix::multLeftITrans(const SqSylvMatrix& m) +{ + int off = rows - m.numRows(); + if (off < 0) { + throw SYLV_MES_EXCEPTION("Wrong matrix dimensions for multLeftITrans."); + } + GeneralMatrix subtmp(*this, off, 0, m.numRows(), cols); + subtmp.multLeftTrans(m); +} + + +void SylvMatrix::multLeft(int zero_cols, const GeneralMatrix& a, const GeneralMatrix& b) +{ + int off = a.numRows() - a.numCols(); + if (off < 0 || a.numRows() != rows || off != zero_cols || + rows != b.numRows() || cols != b.numCols()) { + throw SYLV_MES_EXCEPTION("Wrong matrix dimensions for multLeft."); + } + // here we cannot call SylvMatrix::gemm since it would require + // another copy of (usually big) b (we are not able to do inplace + // submatrix of const GeneralMatrix) + if (a.getLD() > 0 && ld > 0) { + int mm = a.numRows(); + int nn = cols; + int kk = a.numCols(); + double alpha = 1.0; + int lda = a.getLD(); + int ldb = ld; + double beta = 0.0; + int ldc = ld; + BLAS_dgemm("N", "N", &mm, &nn, &kk, &alpha, a.getData().base(), &lda, + b.getData().base()+off, &ldb, &beta, data.base(), &ldc); + } +} + + +void SylvMatrix::multRightKron(const SqSylvMatrix& m, int order) +{ + if (power(m.numRows(), order) != cols) { + throw SYLV_MES_EXCEPTION("Wrong number of cols for right kron multiply."); + } + KronVector auxrow(m.numRows(), m.numRows(), order-1); + for (int i = 0; i < rows; i++) { + Vector rowi(data.base()+i, rows, cols); + KronVector rowikron(rowi, m.numRows(), m.numRows(), order-1); + auxrow = rowi; // copy data + m.multVecKronTrans(rowikron, auxrow); + } +} + +void SylvMatrix::multRightKronTrans(const SqSylvMatrix& m, int order) +{ + if (power(m.numRows(), order) != cols) { + throw SYLV_MES_EXCEPTION("Wrong number of cols for right kron multiply."); + } + + KronVector auxrow(m.numRows(), m.numRows(), order-1); + for (int i = 0; i < rows; i++) { + Vector rowi(data.base()+i, rows, cols); + KronVector rowikron(rowi, m.numRows(), m.numRows(), order-1); + auxrow = rowi; // copy data + m.multVecKron(rowikron, auxrow); + } +} + +void SylvMatrix::eliminateLeft(int row, int col, Vector& x) +{ + double d = get(col, col); + double e = get(row, col); + if (std::abs(d) > std::abs(e)) { + get(row, col) = 0.0; + double mult = e/d; + for (int i = col + 1; i < numCols(); i++) { + get(row, i) = get(row, i) - mult*get(col, i); + } + x[row] = x[row] - mult*x[col]; + } else if (std::abs(e) > std::abs(d)) { + get(row, col) = 0.0; + get(col, col) = e; + double mult = d/e; + for (int i = col + 1; i < numCols(); i++) { + double tx = get(col, i); + double ty = get(row, i); + get(col, i) = ty; + get(row, i) = tx - mult*ty; + } + double tx = x[col]; + double ty = x[row]; + x[col] = ty; + x[row] = tx - mult*ty; + } +} + +void SylvMatrix::eliminateRight(int row, int col, Vector& x) +{ + double d = get(row, row); + double e = get(row, col); + + if (std::abs(d) > std::abs(e)) { + get(row, col) = 0.0; + double mult = e/d; + for (int i = 0; i < row; i++) { + get(i, col) = get(i, col) - mult*get(i, row); + } + x[col] = x[col] - mult*x[row]; + } else if (std::abs(e) > std::abs(d)) { + get(row, col) = 0.0; + get(row, row) = e; + double mult = d/e; + for (int i = 0; i < row; i++) { + double tx = get(i, row); + double ty = get(i, col); + get(i, row) = ty; + get(i, col) = tx - mult*ty; + } + double tx = x[row]; + double ty = x[col]; + x[row] = ty; + x[col] = tx - mult*ty; + } +} + + + +SqSylvMatrix::SqSylvMatrix(const GeneralMatrix& a, const GeneralMatrix& b) + : SylvMatrix(a,b) +{ + if (rows != cols) + throw SYLV_MES_EXCEPTION("Wrong matrix dimensions in multiplication constructor of square matrix."); +} + +void SqSylvMatrix::multVecKron(KronVector& x, const KronVector& d) const +{ + x.zeros(); + if (d.getDepth() == 0) { + multaVec(x, d); + } else { + KronVector aux(x.getM(), x.getN(), x.getDepth()); + for (int i = 0; i < x.getM(); i++) { + KronVector auxi(aux, i); + ConstKronVector di(d, i); + multVecKron(auxi, di); + } + for (int i = 0; i < rows; i++) { + KronVector xi(x, i); + for (int j = 0; j < cols; j++) { + KronVector auxj(aux, j); + xi.add(get(i,j),auxj); + } + } + } +} + + +void SqSylvMatrix::multVecKronTrans(KronVector& x, const KronVector& d) const +{ + x.zeros(); + if (d.getDepth() == 0) { + multaVecTrans(x, d); + } else { + KronVector aux(x.getM(), x.getN(), x.getDepth()); + for (int i = 0; i < x.getM(); i++) { + KronVector auxi(aux, i); + ConstKronVector di(d, i); + multVecKronTrans(auxi, di); + } + for (int i = 0; i < rows; i++) { + KronVector xi(x, i); + for (int j = 0; j < cols; j++) { + KronVector auxj(aux, j); + xi.add(get(j,i), auxj); + } + } + } +} + +void SqSylvMatrix::multInvLeft2(GeneralMatrix& a, GeneralMatrix& b, + double& rcond1, double& rcondinf) const +{ + if (rows != a.numRows() || rows != b.numRows()) { + throw SYLV_MES_EXCEPTION("Wrong dimensions for multInvLeft2."); + } + // PLU factorization + Vector inv(data); + int * const ipiv = new int[rows]; + int info; + LAPACK_dgetrf(&rows, &rows, inv.base(), &rows, ipiv, &info); + // solve a + int acols = a.numCols(); + double* abase = a.base(); + LAPACK_dgetrs("N", &rows, &acols, inv.base(), &rows, ipiv, + abase, &rows, &info); + // solve b + int bcols = b.numCols(); + double* bbase = b.base(); + LAPACK_dgetrs("N", &rows, &bcols, inv.base(), &rows, ipiv, + bbase, &rows, &info); + delete [] ipiv; + + // condition numbers + double* const work = new double[4*rows]; + int* const iwork = new int[rows]; + double norm1 = getNorm1(); + LAPACK_dgecon("1", &rows, inv.base(), &rows, &norm1, &rcond1, + work, iwork, &info); + double norminf = getNormInf(); + LAPACK_dgecon("I", &rows, inv.base(), &rows, &norminf, &rcondinf, + work, iwork, &info); + delete [] iwork; + delete [] work; +} + +void SqSylvMatrix::setUnit() +{ + for (int i = 0; i < rows; i++) { + for (int j = 0; j < cols; j++) { + if (i==j) + get(i,j) = 1.0; + else + get(i,j) = 0.0; + } + } +} + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.h new file mode 100644 index 000000000..99ab504ae --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMatrix.h @@ -0,0 +1,81 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvMatrix.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYLV_MATRIX_H +#define SYLV_MATRIX_H + +#include "GeneralMatrix.h" +#include "KronVector.h" + +class SqSylvMatrix; + +class SylvMatrix : public GeneralMatrix { +public: + SylvMatrix(int m, int n) + : GeneralMatrix(m,n) {} + SylvMatrix(const double* d, int m, int n) + : GeneralMatrix(d, m, n) {} + SylvMatrix(double* d, int m, int n) + : GeneralMatrix(d, m, n) {} + SylvMatrix(const GeneralMatrix& m) + : GeneralMatrix(m) {} + SylvMatrix(const GeneralMatrix& m, int i, int j, int nrows, int ncols) + : GeneralMatrix(m, i, j, nrows, ncols) {} + SylvMatrix(GeneralMatrix& m, int i, int j, int nrows, int ncols) + : GeneralMatrix(m, i, j, nrows, ncols) {} + SylvMatrix(const GeneralMatrix& a, const GeneralMatrix& b) + : GeneralMatrix(a, b) {} + + /* this = |I 0|* this + |0 m| */ + void multLeftI(const SqSylvMatrix& m); + /* this = |I 0|* this + |0 m'| */ + void multLeftITrans(const SqSylvMatrix& m); + /* this = |0 a|*b, so that |0 a| is square */ + void multLeft(int zero_cols, const GeneralMatrix& a, const GeneralMatrix& b); + /* this = this * (m\otimes m..\otimes m) */ + void multRightKron(const SqSylvMatrix& m, int order); + /* this = this * (m'\otimes m'..\otimes m') */ + void multRightKronTrans(const SqSylvMatrix& m, int order); + /* this = P*this, x = P*x, where P is gauss transformation setting + * a given element to zero */ + void eliminateLeft(int row, int col, Vector& x); + /* this = this*P, x = P'*x, where P is gauss transformation setting + * a given element to zero */ + void eliminateRight(int row, int col, Vector& x); +}; + + +class SqSylvMatrix : public SylvMatrix { +public: + SqSylvMatrix(int m) : SylvMatrix(m, m) {} + SqSylvMatrix(const double* d, int m) : SylvMatrix(d, m, m) {} + SqSylvMatrix(double* d, int m) : SylvMatrix(d, m, m) {} + SqSylvMatrix(const SqSylvMatrix& m) : SylvMatrix(m) {} + SqSylvMatrix(const GeneralMatrix& m, int i, int j, int nrows) + : SylvMatrix(m, i, j, nrows, nrows) {} + SqSylvMatrix(GeneralMatrix& m, int i, int j, int nrows) + : SylvMatrix(m, i, j, nrows, nrows) {} + SqSylvMatrix(const GeneralMatrix& a, const GeneralMatrix& b); + const SqSylvMatrix& operator=(const SqSylvMatrix& m) + {GeneralMatrix::operator=(m); return *this;} + /* x = (this \otimes this..\otimes this)*d */ + void multVecKron(KronVector& x, const KronVector& d) const; + /* x = (this' \otimes this'..\otimes this')*d */ + void multVecKronTrans(KronVector& x, const KronVector& d) const; + /* a = inv(this)*a, b=inv(this)*b */ + void multInvLeft2(GeneralMatrix& a, GeneralMatrix& b, + double& rcond1, double& rcondinf) const; + /* this = I */ + void setUnit(); +}; + + +#endif /* SYLV_MATRIX_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.cpp new file mode 100644 index 000000000..d9f7efa1a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.cpp @@ -0,0 +1,221 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvMemory.cpp,v 1.1.1.1 2004/06/04 13:00:49 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SylvMemory.h" +#include "SylvException.h" +#include "KronVector.h" + +#ifdef MATLAB +#include "mex.h" +#endif + +#include +#include +#include + +/**********************************************************/ +/* SylvMemoryPool */ +/**********************************************************/ + +SylvMemoryPool memory_pool; + +SylvMemoryPool::SylvMemoryPool() + : base(0), length(0), allocated(0), stack_mode(false) +{ +} + +void SylvMemoryPool::init(size_t size) +{ +#ifdef USE_MEMORY_POOL + length = size; + +#ifdef MATLAB + if (base) + throw SYLV_MES_EXCEPTION("Attempt to use matlab memory pool twice."); + base = (char*) mxMalloc(length); +#else + base = (char*) malloc(length); +#endif + +#else + throw SYLV_MES_EXCEPTION("SylvMemoryPool::init() called for non memory pool code."); +#endif +} + +void* SylvMemoryPool::allocate(size_t size) +{ +#ifdef USE_MEMORY_POOL + if (allocated + size < length) { + char* res = base + allocated; + allocated += size; + return res; + } else { + throw SYLV_MES_EXCEPTION("Run out of memory space"); + } +#else + throw SYLV_MES_EXCEPTION("SylvMemoryPool::allocate() called for non memory pool code."); +#endif +} + +void SylvMemoryPool::free(void* p) +{ +#ifdef USE_MEMORY_POOL + int offset = ((char*)p) - base; + +#ifdef DEBUG + if (offset < 0) + throw SYLV_MES_EXCEPTION("SylvMemoryPool::free() frees wrong address < begin."); + if (offset >= (int)length) + throw SYLV_MES_EXCEPTION("SylvMemoryPool::free() frees wrong address > end."); +#endif + + if (stack_mode && offset >= 0 && offset < (int)allocated) + allocated = offset; + +#else + throw SYLV_MES_EXCEPTION("SylvMemoryPool::free() called for non memory pool code."); +#endif +} + +void SylvMemoryPool::setStackMode(bool mode) +{ + stack_mode = mode; +} + +SylvMemoryPool::~SylvMemoryPool() +{ + reset(); +} + +void SylvMemoryPool::reset() +{ +#ifndef MATLAB + delete [] base; + base = 0; + allocated = 0; + length = 0; + stack_mode = false; +#endif +} + +/**********************************************************/ +/* global new and delete */ +/**********************************************************/ + +#ifdef USE_MEMORY_POOL + +void* operator new(size_t size) +{ + return memory_pool.allocate(size); +} + +void* operator new[](size_t size) +{ + return memory_pool.allocate(size); +} + +void operator delete(void* p) +{ + memory_pool.free(p); +} + +void operator delete[](void* p) +{ + memory_pool.free(p); +} + +#endif + +/**********************************************************/ +/* saved version of global new and delete */ +/**********************************************************/ + +#ifdef USE_MEMORY_POOL +void* MallocAllocator::operator new(size_t size) +{ +#ifdef MATLAB + throw SYLV_MES_EXCEPTION("Attempt to call wrong memory allocator."); +#else + void* res = malloc(size); + if (!res) + throw SYLV_MES_EXCEPTION("Malloc unable to allocate memory."); + return res; +#endif +} + +void* MallocAllocator::operator new[](size_t size) +{ +#ifdef MATLAB + throw SYLV_MES_EXCEPTION("Attempt to call wrong memory allocator."); +#else + void* res = malloc(size); + if (!res) + throw SYLV_MES_EXCEPTION("Malloc unable allocate memory."); + return res; +#endif +} + +void MallocAllocator::operator delete(void* p) +{ +#ifdef MATLAB + throw SYLV_MES_EXCEPTION("Attempt to call wrong memory destructor."); +#else + free(p); +#endif +} + +void MallocAllocator::operator delete[](void* p) +{ +#ifdef MATLAB + throw SYLV_MES_EXCEPTION("Attempt to call wrong memory destructor."); +#else + free(p); +#endif +} + +#endif + + +/**********************************************************/ +/* SylvMemoryDriver */ +/**********************************************************/ + +void SylvMemoryDriver::allocate(int num_d, int m, int n, int order) +{ +#ifdef USE_MEMORY_POOL + int x_cols = power(m,order); + int total = num_d*x_cols*n; // storage for big matrices + total += x_cols; // storage for one extra row of a big matrix + int dig_vectors = (int)ceil(((double)(power(m,order)-1))/(m-1)); + total += 8*n*dig_vectors; // storage for kron vectors instantiated during solv + total += 50*(m*m+n*n); // some storage for small square matrices + total *= sizeof(double); // everything in doubles + memory_pool.init(total); +#endif +} + + +SylvMemoryDriver::SylvMemoryDriver(int num_d, int m, int n, int order) +{ + allocate(num_d, m, n, order); +} + +SylvMemoryDriver::SylvMemoryDriver(const SylvParams& pars, int num_d, + int m, int n, int order) +{ + if (*(pars.method) == SylvParams::iter) + num_d++; + if (*(pars.want_check)) + num_d++; + allocate(num_d, m, n, order); +} + +SylvMemoryDriver::~SylvMemoryDriver() +{ + memory_pool.reset(); +} + +void SylvMemoryDriver::setStackMode(bool mode) { + memory_pool.setStackMode(mode); +} diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.h new file mode 100644 index 000000000..187aac0b5 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvMemory.h @@ -0,0 +1,63 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvMemory.h,v 1.1.1.1 2004/06/04 13:00:49 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYLV_MEMORY_H +#define SYLV_MEMORY_H + +#include "SylvParams.h" + +#include + +class MallocAllocator { +#ifdef USE_MEMORY_POOL +public: + void* operator new(size_t size); + void* operator new[](size_t size); + void operator delete(void* p); + void operator delete[](void* p); +#endif +}; + +#ifdef USE_MEMORY_POOL +void* operator new(size_t size); +void* operator new[](size_t size); +void operator delete(void* p); +void operator delete[](void* p); +#endif + +class SylvMemoryPool { + char* base; + size_t length; + size_t allocated; + bool stack_mode; + SylvMemoryPool(const SylvMemoryPool&); + const SylvMemoryPool& operator=(const SylvMemoryPool&); +public: + SylvMemoryPool(); + ~SylvMemoryPool(); + void init(size_t size); + void* allocate(size_t size); + void free(void* p); + void reset(); + void setStackMode(bool); +}; + +class SylvMemoryDriver { + SylvMemoryDriver(const SylvMemoryDriver&); + const SylvMemoryDriver& operator=(const SylvMemoryDriver&); +public: + SylvMemoryDriver(int num_d, int m, int n, int order); + SylvMemoryDriver(const SylvParams& pars, int num_d, int m, int n, int order); + static void setStackMode(bool); + ~SylvMemoryDriver(); +protected: + void allocate(int num_d, int m, int n, int order); +}; + +#endif /* SYLV_MEMORY_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.cpp new file mode 100644 index 000000000..9c00a438d --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.cpp @@ -0,0 +1,230 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvParams.cpp,v 1.1.1.1 2004/06/04 13:00:52 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "SylvParams.h" + + +void SylvParams::print(const char* prefix) const +{ + print(stdout, prefix); +} + +void SylvParams::print(FILE* fdesc, const char* prefix) const +{ + rcondA1.print(fdesc, prefix, "reci. cond1 A ", "%8.4g"); + rcondAI.print(fdesc, prefix, "reci. condInf A ", "%8.4g"); + bs_norm.print(fdesc, prefix, "log10 diag norm ", "%8.4g"); + f_err1.print(fdesc, prefix, "abs. err 1 F diag ", "%8.4g"); + f_errI.print(fdesc, prefix, "abs. err I F diag ", "%8.4g"); + viv_err1.print(fdesc, prefix, "abs. err 1 V*invV ", "%8.4g"); + viv_errI.print(fdesc, prefix, "abs. err I V*invV ", "%8.4g"); + ivv_err1.print(fdesc, prefix, "abs. err 1 invV*V ", "%8.4g"); + ivv_errI.print(fdesc, prefix, "abs. err I invV*V ", "%8.4g"); + f_blocks.print(fdesc, prefix, "num blocks in F ", "%d"); + f_largest.print(fdesc, prefix,"largest block in F ", "%d"); + f_zeros.print(fdesc, prefix, "num zeros in F ", "%d"); + f_offdiag.print(fdesc, prefix,"num offdiag in F ", "%d"); + if (*method == iter) { + converged.print(fdesc, prefix, "converged ", "%d"); + convergence_tol.print(fdesc, prefix, "convergence tol. ", "%8.4g"); + iter_last_norm.print(fdesc, prefix, "last norm ", "%8.4g"); + max_num_iter.print(fdesc, prefix, "max num iter ", "%d"); + num_iter.print(fdesc, prefix, "num iter ", "%d"); + } else { + eig_min.print(fdesc, prefix, "minimum eigenvalue ", "%8.4g"); + } + mat_err1.print(fdesc, prefix, "rel. matrix norm1 ", "%8.4g"); + mat_errI.print(fdesc, prefix, "rel. matrix normInf", "%8.4g"); + mat_errF.print(fdesc, prefix, "rel. matrix normFro", "%8.4g"); + vec_err1.print(fdesc, prefix, "rel. vector norm1 ", "%8.4g"); + vec_errI.print(fdesc, prefix, "rel. vector normInf", "%8.4g"); + cpu_time.print(fdesc, prefix, "time (CPU secs) ", "%8.4g"); +} + +void SylvParams::copy(const SylvParams& p) +{ + method = p.method; + convergence_tol = p.convergence_tol; + max_num_iter = p.max_num_iter; + bs_norm = p.bs_norm; + want_check = p.want_check; + converged = p.converged; + iter_last_norm = p.iter_last_norm; + num_iter = p.num_iter; + f_err1 = p.f_err1; + f_errI = p.f_errI; + viv_err1 = p.viv_err1; + viv_errI = p.viv_errI; + ivv_err1 = p.ivv_err1; + ivv_errI = p.ivv_errI; + f_blocks = p.f_blocks; + f_largest = p.f_largest; + f_zeros = p.f_zeros; + f_offdiag = p.f_offdiag; + rcondA1 = p.rcondA1; + rcondAI = p.rcondAI; + eig_min = p.eig_min; + mat_err1 = p.mat_err1; + mat_errI = p.mat_errI; + mat_errF = p.mat_errF; + vec_err1 = p.vec_err1; + vec_errI = p.vec_errI; + cpu_time = p.cpu_time; +} + +void SylvParams::setArrayNames(int& num, const char** names) const +{ + num = 0; + if (method.getStatus() != undef) + names[num++] = "method"; + if (convergence_tol.getStatus() != undef) + names[num++] = "convergence_tol"; + if (max_num_iter.getStatus() != undef) + names[num++] = "max_num_iter"; + if (bs_norm.getStatus() != undef) + names[num++] = "bs_norm"; + if (converged.getStatus() != undef) + names[num++] = "converged"; + if (iter_last_norm.getStatus() != undef) + names[num++] = "iter_last_norm"; + if (num_iter.getStatus() != undef) + names[num++] = "num_iter"; + if (f_err1.getStatus() != undef) + names[num++] = "f_err1"; + if (f_errI.getStatus() != undef) + names[num++] = "f_errI"; + if (viv_err1.getStatus() != undef) + names[num++] = "viv_err1"; + if (viv_errI.getStatus() != undef) + names[num++] = "viv_errI"; + if (ivv_err1.getStatus() != undef) + names[num++] = "ivv_err1"; + if (ivv_errI.getStatus() != undef) + names[num++] = "ivv_errI"; + if (f_blocks.getStatus() != undef) + names[num++] = "f_blocks"; + if (f_largest.getStatus() != undef) + names[num++] = "f_largest"; + if (f_zeros.getStatus() != undef) + names[num++] = "f_zeros"; + if (f_offdiag.getStatus() != undef) + names[num++] = "f_offdiag"; + if (rcondA1.getStatus() != undef) + names[num++] = "rcondA1"; + if (rcondAI.getStatus() != undef) + names[num++] = "rcondAI"; + if (eig_min.getStatus() != undef) + names[num++] = "eig_min"; + if (mat_err1.getStatus() != undef) + names[num++] = "mat_err1"; + if (mat_errI.getStatus() != undef) + names[num++] = "mat_errI"; + if (mat_errF.getStatus() != undef) + names[num++] = "mat_errF"; + if (vec_err1.getStatus() != undef) + names[num++] = "vec_err1"; + if (vec_errI.getStatus() != undef) + names[num++] = "vec_errI"; + if (cpu_time.getStatus() != undef) + names[num++] = "cpu_time"; +} + +#ifdef MATLAB +mxArray* SylvParams::DoubleParamItem::createMatlabArray() const +{ + return mxCreateScalarDouble(value); +} + +mxArray* SylvParams::IntParamItem::createMatlabArray() const +{ + mxArray* res = mxCreateNumericMatrix(1, 1, mxINT32_CLASS, mxREAL); + *((int*)mxGetData(res)) = value; + return res; +} + +mxArray* SylvParams::BoolParamItem::createMatlabArray() const +{ + if (value) + return mxCreateString("true"); + else + return mxCreateString("false"); +} + +mxArray* SylvParams::MethodParamItem::createMatlabArray() const +{ + if (value == iter) + return mxCreateString("iterative"); + else + return mxCreateString("recursive"); +} + +mxArray* SylvParams::createStructArray() const +{ + const char* names[50]; + int num; + setArrayNames(num, names); + const int dims[] = {1, 1}; + mxArray* const res = mxCreateStructArray(2, dims, num, names); + + int i = 0; + if (method.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, method.createMatlabArray()); + if (convergence_tol.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, convergence_tol.createMatlabArray()); + if (max_num_iter.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, max_num_iter.createMatlabArray()); + if (bs_norm.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, bs_norm.createMatlabArray()); + if (converged.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, converged.createMatlabArray()); + if (iter_last_norm.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, iter_last_norm.createMatlabArray()); + if (num_iter.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, num_iter.createMatlabArray()); + if (f_err1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_err1.createMatlabArray()); + if (f_errI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_errI.createMatlabArray()); + if (viv_err1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, viv_err1.createMatlabArray()); + if (viv_errI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, viv_errI.createMatlabArray()); + if (ivv_err1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, ivv_err1.createMatlabArray()); + if (ivv_errI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, ivv_errI.createMatlabArray()); + if (f_blocks.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_blocks.createMatlabArray()); + if (f_largest.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_largest.createMatlabArray()); + if (f_zeros.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_zeros.createMatlabArray()); + if (f_offdiag.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, f_offdiag.createMatlabArray()); + if (rcondA1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, rcondA1.createMatlabArray()); + if (rcondAI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, rcondAI.createMatlabArray()); + if (eig_min.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, eig_min.createMatlabArray()); + if (mat_err1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, mat_err1.createMatlabArray()); + if (mat_errI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, mat_errI.createMatlabArray()); + if (mat_errF.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, mat_errF.createMatlabArray()); + if (vec_err1.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, vec_err1.createMatlabArray()); + if (vec_errI.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, vec_errI.createMatlabArray()); + if (cpu_time.getStatus() != undef) + mxSetFieldByNumber(res, 0, i++, cpu_time.createMatlabArray()); + + return res; +} +#endif + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.h new file mode 100644 index 000000000..afb5b874a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvParams.h @@ -0,0 +1,162 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvParams.h,v 1.1.1.1 2004/06/04 13:00:54 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYLV_PARAMS_H +#define SYLV_PARAMS_H + +#include +#include + +#ifdef MATLAB +#include "mex.h" +#endif + +typedef enum {def, changed, undef} status; + +template +struct ParamItem { +protected: + typedef ParamItem<_Type> _Self; + status s; + _Type value; +public: + ParamItem() + {s = undef;} + ParamItem(_Type val) + {value = val; s = def;} + ParamItem(const _Self& item) + {value = item.value; s = item.s;} + const _Self& operator=(const _Self& item) + {value = item.value; s = item.s; return *this;} + const _Self& operator=(const _Type& val) + {value = val; s = changed; return *this;} + _Type operator*() const + {return value;} + status getStatus() const + {return s;} + void print(FILE* f, const char* prefix, const char* str, const char* fmt) const + { + if (s == undef) + return; + char out[1000]; + strcpy(out, prefix); + strcat(out, str); + strcat(out, "= "); + strcat(out, fmt); + if (s == def) + strcat(out, " "); + strcat(out,"\n"); + fprintf(f, out, value); + } +}; + +class SylvParams { +public: + typedef enum {iter, recurse} solve_method; + +protected: + class DoubleParamItem : public ParamItem { + public: + DoubleParamItem() : ParamItem() {} + DoubleParamItem(double val) : ParamItem(val) {} + DoubleParamItem(const DoubleParamItem& item) : ParamItem(item) {} + const DoubleParamItem& operator=(const double& val) + {ParamItem::operator=(val); return *this;} +#ifdef MATLAB + mxArray* createMatlabArray() const; +#endif + }; + + class IntParamItem : public ParamItem { + public: + IntParamItem() : ParamItem() {} + IntParamItem(int val) : ParamItem(val) {} + IntParamItem(const IntParamItem& item) : ParamItem(item) {} + const IntParamItem& operator=(const int& val) + {ParamItem::operator=(val); return *this;} +#ifdef MATLAB + mxArray* createMatlabArray() const; +#endif + }; + + class BoolParamItem : public ParamItem { + public: + BoolParamItem() : ParamItem() {} + BoolParamItem(bool val) : ParamItem(val) {} + BoolParamItem(const BoolParamItem& item) : ParamItem(item) {} + const BoolParamItem& operator=(const bool& val) + {ParamItem::operator=(val); return *this;} +#ifdef MATLAB + mxArray* createMatlabArray() const; +#endif + }; + + class MethodParamItem : public ParamItem { + public: + MethodParamItem() : ParamItem() {} + MethodParamItem(solve_method val) : ParamItem(val) {} + MethodParamItem(const MethodParamItem& item) : ParamItem(item) {} + const MethodParamItem operator=(const solve_method& val) + {ParamItem::operator=(val); return *this;} +#ifdef MATLAB + mxArray* createMatlabArray() const; +#endif + }; + +public: + // input parameters + MethodParamItem method; // method of solution: iter/recurse + DoubleParamItem convergence_tol; // norm for what we consider converged + IntParamItem max_num_iter; // max number of iterations + DoubleParamItem bs_norm; // Bavely Stewart log10 of norm for diagonalization + BoolParamItem want_check; // true => allocate extra space for checks + // output parameters + BoolParamItem converged; // true if converged + DoubleParamItem iter_last_norm; // norm of the last iteration + IntParamItem num_iter; // number of iterations + DoubleParamItem f_err1; // norm 1 of diagonalization abs. error C-V*F*inv(V) + DoubleParamItem f_errI; // norm Inf of diagonalization abs. error C-V*F*inv(V) + DoubleParamItem viv_err1; // norm 1 of error I-V*inv(V) + DoubleParamItem viv_errI; // norm Inf of error I-V*inv(V) + DoubleParamItem ivv_err1; // norm 1 of error I-inv(V)*V + DoubleParamItem ivv_errI; // norm Inf of error I-inv(V)*V + IntParamItem f_blocks; // number of diagonal blocks of F + IntParamItem f_largest; // size of largest diagonal block in F + IntParamItem f_zeros; // number of off diagonal zeros in F + IntParamItem f_offdiag; // number of all off diagonal elements in F + DoubleParamItem rcondA1; // reciprocal cond 1 number of A + DoubleParamItem rcondAI; // reciprocal cond Inf number of A + DoubleParamItem eig_min; // minimum eigenvalue of the solved system + DoubleParamItem mat_err1; // rel. matrix 1 norm of A*X-B*X*kron(C,..,C)-D + DoubleParamItem mat_errI; // rel. matrix Inf norm of A*X-B*X*kron(C,..,C)-D + DoubleParamItem mat_errF; // rel. matrix Frob. norm of A*X-B*X*kron(C,..,C)-D + DoubleParamItem vec_err1; // rel. vector 1 norm of A*X-B*X*kron(C,..,C)-D + DoubleParamItem vec_errI; // rel. vector Inf norm of A*X-B*X*kron(C,..,C)-D + DoubleParamItem cpu_time; // time of the job in CPU seconds + // note: remember to change copy() if adding/removing member + + SylvParams(bool wc = false) + : method(recurse), convergence_tol(1.e-30), max_num_iter(15), + bs_norm(1.3), want_check(wc) {} + SylvParams(const SylvParams& p) + {copy(p);} + const SylvParams& operator=(const SylvParams& p) + {copy(p); return *this;} + ~SylvParams() {} + void print(const char* prefix) const; + void print(FILE* fdesc, const char* prefix) const; + void setArrayNames(int& num, const char** names) const; +#ifdef MATLAB + mxArray* createStructArray() const; +#endif +private: + void copy(const SylvParams& p); +}; + +#endif /* SYLV_PARAMS_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvesterSolver.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvesterSolver.h new file mode 100644 index 000000000..df9bcce45 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SylvesterSolver.h @@ -0,0 +1,51 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SylvesterSolver.h,v 1.1.1.1 2004/06/04 13:00:54 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYLVESTER_SOLVER_H +#define SYLVESTER_SOLVER_H + +#include "KronVector.h" +#include "QuasiTriangular.h" +#include "QuasiTriangularZero.h" +#include "SimilarityDecomp.h" +#include "SylvParams.h" +#include "SchurDecomp.h" + +class SylvesterSolver { +protected: + const QuasiTriangular* const matrixK; + const QuasiTriangular* const matrixF; +private: + /* return true when it is more efficient to use QuasiTriangular + * than QuasiTriangularZero */ + static bool zeroPad(const SchurDecompZero& kdecomp) { + return ((kdecomp.getZeroCols()*3 < kdecomp.getDim()*2) || + (kdecomp.getZeroCols() < 10)); + } +public: + SylvesterSolver(const QuasiTriangular& k, const QuasiTriangular& f) + : matrixK(new QuasiTriangular(k)), + matrixF(new QuasiTriangular(f)) + {} + SylvesterSolver(const SchurDecompZero& kdecomp, const SchurDecomp& fdecomp) + : matrixK((zeroPad(kdecomp)) ? + new QuasiTriangular(kdecomp) : new QuasiTriangularZero(kdecomp)), + matrixF(new QuasiTriangular(fdecomp)) + {} + SylvesterSolver(const SchurDecompZero& kdecomp, const SimilarityDecomp& fdecomp) + : matrixK((zeroPad(kdecomp)) ? + new QuasiTriangular(kdecomp) : new QuasiTriangularZero(kdecomp)), + matrixF(new BlockDiagonal(fdecomp.getB())) + {} + virtual ~SylvesterSolver() + {delete matrixK; delete matrixF;} + virtual void solve(SylvParams& pars, KronVector& x) const = 0; +}; + +#endif /* SYLVESTER_SOLVER_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.cpp new file mode 100644 index 000000000..3c11314ac --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.cpp @@ -0,0 +1,101 @@ +/* $Header$ */ + +/* Tag $Name$ */ + +#include "SymSchurDecomp.h" +#include "SylvException.h" + +#include "cpplapack.h" + +#include +#include + +SymSchurDecomp::SymSchurDecomp(const GeneralMatrix& mata) + : lambda(mata.numRows()), q(mata.numRows()) +{ + // check mata is square + if (mata.numRows() != mata.numCols()) + throw SYLV_MES_EXCEPTION("Matrix is not square in SymSchurDecomp constructor"); + + // prepare for dsyevr + const char* jobz = "V"; + const char* range = "A"; + const char* uplo = "U"; + int n = mata.numRows(); + GeneralMatrix tmpa(mata); + double* a = tmpa.base(); + int lda = tmpa.getLD(); + double dum; + double* vl = &dum; + double* vu = &dum; + int idum; + int* il = &idum; + int* iu = &idum; + double abstol = 0.0; + int m = n; + double* w = lambda.base(); + double* z = q.base(); + int ldz = q.getLD(); + int* isuppz = new int[2*std::max(1,m)]; + double tmpwork; + int lwork = -1; + int tmpiwork; + int liwork = -1; + int info; + + // query for lwork and liwork + LAPACK_dsyevr(jobz, range, uplo, &n, a, &lda, vl, vu, il, iu, &abstol, + &m, w, z, &ldz, isuppz, &tmpwork, &lwork, &tmpiwork, &liwork, &info); + lwork = (int)tmpwork; + liwork = tmpiwork; + // allocate work arrays + double* work = new double[lwork]; + int* iwork = new int[liwork]; + + // do the calculation + LAPACK_dsyevr(jobz, range, uplo, &n, a, &lda, vl, vu, il, iu, &abstol, + &m, w, z, &ldz, isuppz, work, &lwork, iwork, &liwork, &info); + + if (info < 0) + throw SYLV_MES_EXCEPTION("Internal error in SymSchurDecomp constructor"); + if (info > 0) + throw SYLV_MES_EXCEPTION("Internal LAPACK error in DSYEVR"); + + delete [] work; + delete [] iwork; + delete [] isuppz; +} + +void SymSchurDecomp::getFactor(GeneralMatrix& f) const +{ + if (f.numRows() != q.numRows()) + throw SYLV_MES_EXCEPTION("Wrong dimension of factor matrix in SymSchurDecomp::getFactor"); + if (f.numRows() != f.numCols()) + throw SYLV_MES_EXCEPTION("Factor matrix is not square in SymSchurDecomp::getFactor"); + if (! isPositiveSemidefinite()) + throw SYLV_MES_EXCEPTION("Symmetric decomposition not positive semidefinite in SymSchurDecomp::getFactor"); + + f = q; + for (int i = 0; i < f.numCols(); i++) { + Vector fi(f, i); + fi.mult(std::sqrt(lambda[i])); + } +} + + +// LAPACK says that eigenvalues are ordered in ascending order, but we +// do not rely her on it +bool SymSchurDecomp::isPositiveSemidefinite() const +{ + for (int i = 0; i < lambda.length(); i++) + if (lambda[i] < 0) + return false; + return true; +} + +void SymSchurDecomp::correctDefinitness(double tol) +{ + for (int i = 0; i < lambda.length(); i++) + if (lambda[i] < 0 && lambda[i] > - tol) + lambda[i] = 0.0; +} diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.h new file mode 100644 index 000000000..784042111 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/SymSchurDecomp.h @@ -0,0 +1,41 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/SchurDecomp.h,v 1.1.1.1 2004/06/04 13:00:44 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef SYM_SCHUR_DECOMP_H +#define SYM_SCHUR_DECOMP_H + +#include "SylvMatrix.h" + +class SymSchurDecomp { +protected: + Vector lambda; + SqSylvMatrix q; +public: + /** Calculates A = Q*Lambda*Q^T, where A is assummed to be + * symmetric and Lambda real diagonal, hence a vector. */ + SymSchurDecomp(const GeneralMatrix& a); + SymSchurDecomp(const SymSchurDecomp& ssd) + : lambda(ssd.lambda), q(ssd.q) {} + virtual ~SymSchurDecomp() {} + const Vector& getLambda() const + {return lambda;} + const SqSylvMatrix& getQ() const + {return q;} + /** Return factor F*F^T = A, raises and exception if A is not + * positive semidefinite, F must be square. */ + void getFactor(GeneralMatrix& f) const; + /** Returns true if A is positive semidefinite. */ + bool isPositiveSemidefinite() const; + /** Correct definitness. This sets all eigenvalues between minus + * tolerance and zero to zero. */ + void correctDefinitness(double tol); + +}; + +#endif + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.cpp new file mode 100644 index 000000000..64471afe8 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.cpp @@ -0,0 +1,392 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/TriangularSylvester.cpp,v 1.1.1.1 2004/06/04 13:00:59 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "TriangularSylvester.h" +#include "QuasiTriangularZero.h" +#include "KronUtils.h" +#include "BlockDiagonal.h" + +#include +#include + +double TriangularSylvester::diag_zero = 1.e-15; +double TriangularSylvester::diag_zero_sq = 1.e-30; + +TriangularSylvester::TriangularSylvester(const QuasiTriangular& k, + const QuasiTriangular& f) + : SylvesterSolver(k, f), + matrixKK(matrixK->clone(2, *matrixK)), + matrixFF(new QuasiTriangular(2, *matrixF)) +{ +} + +TriangularSylvester::TriangularSylvester(const SchurDecompZero& kdecomp, + const SchurDecomp& fdecomp) + : SylvesterSolver(kdecomp, fdecomp), + matrixKK(matrixK->clone(2, *matrixK)), + matrixFF(new QuasiTriangular(2, *matrixF)) +{ +} + +TriangularSylvester::TriangularSylvester(const SchurDecompZero& kdecomp, + const SimilarityDecomp& fdecomp) + : SylvesterSolver(kdecomp, fdecomp), + matrixKK(matrixK->clone(2, *matrixK)), + matrixFF(new BlockDiagonal(2, *matrixF)) +{ +} + +TriangularSylvester::~TriangularSylvester() +{ + delete matrixKK; + delete matrixFF; +} + +void TriangularSylvester::print() const +{ + printf("matrix K (%d):\n",matrixK->getDiagonal().getSize()); + matrixK->print(); + printf("matrix F (%d):\n",matrixF->getDiagonal().getSize()); + matrixF->print(); +} + +void TriangularSylvester::solve(SylvParams& pars, KronVector& d) const +{ + double eig_min = 1e30; + solvi(1., d, eig_min); + pars.eig_min = sqrt(eig_min); +} + +void TriangularSylvester::solvi(double r, KronVector& d, double& eig_min) const +{ + if (d.getDepth() == 0) { + QuasiTriangular* t = matrixK->clone(r); + t->solvePre(d, eig_min); + delete t; + } else { + for (const_diag_iter di = matrixF->diag_begin(); + di != matrixF->diag_end(); + ++di) { + if ((*di).isReal()) { + solviRealAndEliminate(r, di, d, eig_min); + } else { + solviComplexAndEliminate(r, di, d, eig_min); + } + } + } +} + + +void TriangularSylvester::solvii(double alpha, double beta1, double beta2, + KronVector& d1, KronVector& d2, + double& eig_min) const +{ + KronVector d1tmp(d1); + KronVector d2tmp(d2); + linEval(alpha, beta1, beta2, d1, d2, d1tmp, d2tmp); + solviip(alpha, beta1*beta2, d1, eig_min); + solviip(alpha, beta1*beta2, d2, eig_min); +} + + +void TriangularSylvester::solviip(double alpha, double betas, + KronVector& d, double& eig_min) const +{ + // quick exit to solvi if betas is small + if (betas < diag_zero_sq) { + solvi(alpha, d, eig_min); + solvi(alpha, d, eig_min); + return; + } + + if (d.getDepth() == 0) { + double aspbs = alpha*alpha+betas; + QuasiTriangular* t= matrixK->clone(2*alpha, aspbs, *matrixKK); + t->solvePre(d, eig_min); + delete t; + } else { + const_diag_iter di = matrixF->diag_begin(); + const_diag_iter dsi = matrixFF->diag_begin(); + for (; di != matrixF->diag_end(); ++di, ++dsi) { + if ((*di).isReal()) { + solviipRealAndEliminate(alpha, betas, di, dsi, d, eig_min); + } else { + solviipComplexAndEliminate(alpha, betas, di, dsi, d, eig_min); + } + } + } +} + + +void TriangularSylvester::solviRealAndEliminate(double r, const_diag_iter di, + KronVector& d, double& eig_min) const +{ + // di is real + int jbar = (*di).getIndex(); + double f = *((*di).getAlpha()); + KronVector dj(d, jbar); + // solve system + if (abs(r*f) > diag_zero) { + solvi(r*f, dj, eig_min); + } + // calculate y + KronVector y((const KronVector&)dj); + KronUtils::multKron(*matrixF, *matrixK, y); + y.mult(r); + double divisor = 1.0; + solviEliminateReal(di, d, y, divisor); +} + +void TriangularSylvester::solviEliminateReal(const_diag_iter di, KronVector& d, + const KronVector& y, double divisor) const +{ + for (const_row_iter ri = matrixF->row_begin(*di); + ri != matrixF->row_end(*di); + ++ri) { + KronVector dk(d, ri.getCol()); + dk.add(-(*ri)/divisor, y); + } +} + +void TriangularSylvester::solviComplexAndEliminate(double r, const_diag_iter di, + KronVector& d, double& eig_min) const +{ + // di is complex + int jbar = (*di).getIndex(); + // pick data + double alpha = *(*di).getAlpha(); + double beta1 = (*di).getBeta2(); + double beta2 = -(*di).getBeta1(); + double aspbs = (*di).getDeterminant(); + KronVector dj(d, jbar); + KronVector djj(d, jbar+1); + // solve + if (r*r*aspbs > diag_zero_sq) { + solvii(r*alpha, r*beta1, r*beta2, dj, djj, eig_min); + } + KronVector y1(dj); + KronVector y2(djj); + KronUtils::multKron(*matrixF, *matrixK, y1); + KronUtils::multKron(*matrixF, *matrixK, y2); + y1.mult(r); + y2.mult(r); + double divisor = 1.0; + solviEliminateComplex(di, d, y1, y2, divisor); +} + +void TriangularSylvester::solviEliminateComplex(const_diag_iter di, KronVector& d, + const KronVector& y1, const KronVector& y2, + double divisor) const +{ + for (const_row_iter ri = matrixF->row_begin(*di); + ri != matrixF->row_end(*di); + ++ri) { + KronVector dk(d, ri.getCol()); + dk.add(-ri.a()/divisor, y1); + dk.add(-ri.b()/divisor, y2); + } +} + +void TriangularSylvester::solviipRealAndEliminate(double alpha, double betas, + const_diag_iter di, const_diag_iter dsi, + KronVector& d, double& eig_min) const +{ + // di, and dsi are real + int jbar = (*di).getIndex(); + double aspbs = alpha*alpha+betas; + // pick data + double f = *((*di).getAlpha()); + double fs = f*f; + KronVector dj(d, jbar); + // solve + if (fs*aspbs > diag_zero_sq) { + solviip(f*alpha, fs*betas, dj, eig_min); + } + KronVector y1((const KronVector&)dj); + KronVector y2((const KronVector&)dj); + KronUtils::multKron(*matrixF, *matrixK, y1); + y1.mult(2*alpha); + KronUtils::multKron(*matrixFF, *matrixKK, y2); + y2.mult(aspbs); + double divisor = 1.0; + double divisor2 = 1.0; + solviipEliminateReal(di, dsi, d, y1, y2, divisor, divisor2); +} + +void TriangularSylvester::solviipEliminateReal(const_diag_iter di, const_diag_iter dsi, + KronVector& d, + const KronVector& y1, const KronVector& y2, + double divisor, double divisor2) const +{ + const_row_iter ri = matrixF->row_begin(*di); + const_row_iter rsi = matrixFF->row_begin(*dsi); + for (; ri != matrixF->row_end(*di); ++ri, ++rsi) { + KronVector dk(d, ri.getCol()); + dk.add(-(*ri)/divisor, y1); + dk.add(-(*rsi)/divisor2, y2); + } +} + +void TriangularSylvester::solviipComplexAndEliminate(double alpha, double betas, + const_diag_iter di, const_diag_iter dsi, + KronVector& d, double& eig_min) const +{ + // di, and dsi are complex + int jbar = (*di).getIndex(); + double aspbs = alpha*alpha+betas; + // pick data + double gamma = *((*di).getAlpha()); + double delta1 = (*di).getBeta2(); // swap because of transpose + double delta2 = -(*di).getBeta1(); + double gspds = (*di).getDeterminant(); + KronVector dj(d, jbar); + KronVector djj(d, jbar+1); + if (gspds*aspbs > diag_zero_sq) { + solviipComplex(alpha, betas, gamma, delta1, delta2, dj, djj, eig_min); + } + // here dj, djj is solution, set y1, y2, y11, y22 + // y1 + KronVector y1((const KronVector&) dj); + KronUtils::multKron(*matrixF, *matrixK, y1); + y1.mult(2*alpha); + // y11 + KronVector y11((const KronVector&) djj); + KronUtils::multKron(*matrixF, *matrixK, y11); + y11.mult(2*alpha); + // y2 + KronVector y2((const KronVector&) dj); + KronUtils::multKron(*matrixFF, *matrixKK, y2); + y2.mult(aspbs); + // y22 + KronVector y22((const KronVector&) djj); + KronUtils::multKron(*matrixFF, *matrixKK, y22); + y22.mult(aspbs); + + double divisor = 1.0; + solviipEliminateComplex(di, dsi, d, y1, y11, y2, y22, divisor); +} + + +void TriangularSylvester::solviipComplex(double alpha, double betas, double gamma, + double delta1, double delta2, + KronVector& d1, KronVector& d2, + double& eig_min) const +{ + KronVector d1tmp(d1); + KronVector d2tmp(d2); + quaEval(alpha, betas, gamma, delta1, delta2, + d1, d2, d1tmp, d2tmp); + double delta = sqrt(delta1*delta2); + double beta = sqrt(betas); + double a1 = alpha*gamma - beta*delta; + double b1 = alpha*delta + gamma*beta; + double a2 = alpha*gamma + beta*delta; + double b2 = alpha*delta - gamma*beta; + solviip(a2, b2*b2, d1, eig_min); + solviip(a1, b1*b1, d1, eig_min); + solviip(a2, b2*b2, d2, eig_min); + solviip(a1, b1*b1, d2, eig_min); +} + +void TriangularSylvester::solviipEliminateComplex(const_diag_iter di, const_diag_iter dsi, + KronVector& d, + const KronVector& y1, const KronVector& y11, + const KronVector& y2, const KronVector& y22, + double divisor) const +{ + const_row_iter ri = matrixF->row_begin(*di); + const_row_iter rsi = matrixFF->row_begin(*dsi); + for (; ri != matrixF->row_end(*di); ++ri, ++rsi) { + KronVector dk(d, ri.getCol()); + dk.add(-ri.a()/divisor, y1); + dk.add(-ri.b()/divisor, y11); + dk.add(-rsi.a()/divisor, y2); + dk.add(-rsi.b()/divisor, y22); + } +} + +void TriangularSylvester::linEval(double alpha, double beta1, double beta2, + KronVector& x1, KronVector& x2, + const ConstKronVector& d1, const ConstKronVector& d2) const +{ + KronVector d1tmp(d1); // make copy + KronVector d2tmp(d2); // make copy + KronUtils::multKron(*matrixF, *matrixK, d1tmp); + KronUtils::multKron(*matrixF, *matrixK, d2tmp); + x1 = d1; + x2 = d2; + Vector::mult2a(alpha, beta1, -beta2, x1, x2, d1tmp, d2tmp); +} + +void TriangularSylvester::quaEval(double alpha, double betas, + double gamma, double delta1, double delta2, + KronVector& x1, KronVector& x2, + const ConstKronVector& d1, const ConstKronVector& d2) const +{ + KronVector d1tmp(d1); // make copy + KronVector d2tmp(d2); // make copy + KronUtils::multKron(*matrixF, *matrixK, d1tmp); + KronUtils::multKron(*matrixF, *matrixK, d2tmp); + x1 = d1; + x2 = d2; + Vector::mult2a(2*alpha*gamma, 2*alpha*delta1, -2*alpha*delta2, + x1, x2, d1tmp, d2tmp); + d1tmp = d1; // restore to d1 + d2tmp = d2; // restore to d2 + KronUtils::multKron(*matrixFF, *matrixKK, d1tmp); + KronUtils::multKron(*matrixFF, *matrixKK, d2tmp); + double aspbs = alpha*alpha + betas; + double gspds = gamma*gamma - delta1*delta2; + Vector::mult2a(aspbs*gspds, 2*aspbs*gamma*delta1, -2*aspbs*gamma*delta2, + x1, x2, d1tmp, d2tmp); +} + + +double TriangularSylvester::getEigSep(int depth) const +{ + int f_size = matrixF->getDiagonal().getSize(); + Vector feig(2*f_size); + matrixF->getDiagonal().getEigenValues(feig); + int k_size = matrixK->getDiagonal().getSize(); + Vector keig(2*k_size); + matrixK->getDiagonal().getEigenValues(keig); + + KronVector eig(f_size, 2*k_size, depth); + multEigVector(eig, feig, keig); + + double min = 1.0e20; + for (int i = 0; i < eig.length()/2; i++) { + double alpha = eig[2*i]; + double beta = eig[2*i+1]; + double ss = (alpha+1)*(alpha+1)+beta*beta; + if (min > ss) + min = ss; + } + + return min; +} + +void TriangularSylvester::multEigVector(KronVector& eig, const Vector& feig, + const Vector& keig) +{ + int depth = eig.getDepth(); + int m = eig.getM(); + int n = eig.getN(); + + if (depth == 0) { + eig = keig; + } else { + KronVector aux(m, n, depth-1); + multEigVector(aux, feig, keig); + for (int i = 0; i < m; i++) { + KronVector eigi(eig, i); + eigi.zeros(); + eigi.add(&feig[2*i], aux); + } + } +} + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.h new file mode 100644 index 000000000..b4908729e --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/TriangularSylvester.h @@ -0,0 +1,115 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/TriangularSylvester.h,v 1.1.1.1 2004/06/04 13:01:03 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef TRIANGULAR_SYLVESTER_H +#define TRIANGULAR_SYLVESTER_H + +#include "SylvesterSolver.h" +#include "KronVector.h" +#include "QuasiTriangular.h" +#include "QuasiTriangularZero.h" +#include "SimilarityDecomp.h" + +class TriangularSylvester : public SylvesterSolver { + const QuasiTriangular* const matrixKK; + const QuasiTriangular* const matrixFF; +public: + TriangularSylvester(const QuasiTriangular& k, const QuasiTriangular& f); + TriangularSylvester(const SchurDecompZero& kdecomp, const SchurDecomp& fdecomp); + TriangularSylvester(const SchurDecompZero& kdecomp, const SimilarityDecomp& fdecomp); + virtual ~TriangularSylvester(); + void print() const; + void solve(SylvParams& pars, KronVector& d) const; + + void solvi(double r, KronVector& d, double& eig_min) const; + void solvii(double alpha, double beta1, double beta2, + KronVector& d1, KronVector& d2, + double& eig_min) const; + void solviip(double alpha, double betas, + KronVector& d, double& eig_min) const; + /* evaluates: + |x1| |d1| |alpha -beta1| |d1| + | | = | |+| |\otimes F'...\otimes K | | + |x2| |d2| |beta2 alpha| |d2| + */ + void linEval(double alpha, double beta1, double beta2, + KronVector& x1, KronVector& x2, + const ConstKronVector& d1, const ConstKronVector& d2) const; + void linEval(double alpha, double beta1, double beta2, + KronVector& x1, KronVector& x2, + const KronVector& d1, const KronVector& d2) const + {linEval(alpha, beta1, beta2, x1, x2, + ConstKronVector(d1), ConstKronVector(d2));} + + /* evaluates: + |x1| |d1| |gamma -delta1| |d1| + | | = | | + 2alpha*| |\otimes F'...\otimes K | | + + |x2| |d2| |delta2 gamma| |d2| + + |gamma -delta1|^2 |d1| + + (alpha^2+betas)*| |\otimes F'2...\otimes K2 | | + |delta2 gamma| |d2| + */ + void quaEval(double alpha, double betas, + double gamma, double delta1, double delta2, + KronVector& x1, KronVector& x2, + const ConstKronVector& d1, const ConstKronVector& d2) const; + void quaEval(double alpha, double betas, + double gamma, double delta1, double delta2, + KronVector& x1, KronVector& x2, + const KronVector& d1, const KronVector& d2) const + {quaEval(alpha, betas, gamma, delta1, delta2, x1, x2, + ConstKronVector(d1), ConstKronVector(d2));} +private: + /* returns square of size of minimal eigenvalue of the system solved, + now obsolete */ + double getEigSep(int depth) const; + /* recursivelly calculates kronecker product of complex vectors (used in getEigSep) */ + static void multEigVector(KronVector& eig, const Vector& feig, const Vector& keig); + /* auxiliary typedefs */ + typedef QuasiTriangular::const_diag_iter const_diag_iter; + typedef QuasiTriangular::const_row_iter const_row_iter; + /* called from solvi */ + void solviRealAndEliminate(double r, const_diag_iter di, + KronVector& d, double& eig_min) const; + void solviComplexAndEliminate(double r, const_diag_iter di, + KronVector& d, double& eig_min) const; + /* called from solviip */ + void solviipRealAndEliminate(double alpha, double betas, + const_diag_iter di, const_diag_iter dsi, + KronVector& d, double& eig_min) const; + void solviipComplexAndEliminate(double alpha, double betas, + const_diag_iter di, const_diag_iter dsi, + KronVector& d, double& eig_min) const; + /* eliminations */ + void solviEliminateReal(const_diag_iter di, KronVector& d, + const KronVector& y, double divisor) const; + void solviEliminateComplex(const_diag_iter di, KronVector& d, + const KronVector& y1, const KronVector& y2, + double divisor) const; + void solviipEliminateReal(const_diag_iter di, const_diag_iter dsi, + KronVector& d, + const KronVector& y1, const KronVector& y2, + double divisor, double divisor2) const; + void solviipEliminateComplex(const_diag_iter di, const_diag_iter dsi, + KronVector& d, + const KronVector& y1, const KronVector& y11, + const KronVector& y2, const KronVector& y22, + double divisor) const; + /* Lemma 2 */ + void solviipComplex(double alpha, double betas, double gamma, + double delta1, double delta2, + KronVector& d1, KronVector& d2, + double& eig_min) const; + /* norms for what we consider zero on diagonal of F */ + static double diag_zero; + static double diag_zero_sq; // square of diag_zero +}; + +#endif /* TRIANGULAR_SYLVESTER_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.cpp b/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.cpp new file mode 100644 index 000000000..22ae280fa --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.cpp @@ -0,0 +1,366 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/Vector.cpp,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ */ + +/* Tag $Name: $ */ + + +#include "Vector.h" +#include "GeneralMatrix.h" +#include "SylvException.h" +#include "cppblas.h" + +#include +#include +#include +#include +#include +#include + +using namespace std; + +ZeroPad zero_pad; + +Vector::Vector(const ConstVector& v) + : len(v.length()), s(1), data(new double[len]), destroy(true) +{ + copy(v.base(), v.skip()); +} + +const Vector& Vector::operator=(const Vector& v) +{ + if (this == &v) + return *this; + + if (v.length() != length()) { + throw SYLV_MES_EXCEPTION("Attempt to assign vectors with different lengths."); + } + if (s == v.s && + (data <= v.data && v.data < data+len*s || + v.data <= data && data < v.data+v.len*v.s) && + (data-v.data) % s == 0) { + printf("this destroy=%d, v destroy=%d, data-v.data=%d, len=%d\n", destroy, v.destroy, data-v.data, len); + throw SYLV_MES_EXCEPTION("Attempt to assign overlapping vectors."); + } + copy(v.base(), v.skip()); + return *this; +} + +const Vector& Vector::operator=(const ConstVector& v) +{ + if (v.length() != length()) { + throw SYLV_MES_EXCEPTION("Attempt to assign vectors with different lengths."); + } + if (v.skip() == 1 && skip() == 1 && ( + (base() < v.base() + v.length() && base() >= v.base()) || + (base() + length() < v.base() + v.length() && + base() + length() > v.base()))) { + throw SYLV_MES_EXCEPTION("Attempt to assign overlapping vectors."); + } + copy(v.base(), v.skip()); + return *this; +} + +void Vector::copy(const double* d, int inc) +{ + int n = length(); + int incy = skip(); + BLAS_dcopy(&n, d, &inc, base(), &incy); +} + +Vector::Vector(Vector& v, int off, int l) + : len(l), s(v.skip()), data(v.base()+off*v.skip()), destroy(false) +{ + if (off < 0 || off + length() > v.length()) + throw SYLV_MES_EXCEPTION("Subvector not contained in supvector."); +} + +Vector::Vector(const Vector& v, int off, int l) + : len(l), s(1), data(new double[len]), destroy(true) +{ + if (off < 0 || off + length() > v.length()) + throw SYLV_MES_EXCEPTION("Subvector not contained in supvector."); + copy(v.base()+off*v.skip(), v.skip()); +} + +Vector::Vector(GeneralMatrix& m, int col) + : len(m.numRows()), s(1), data(&(m.get(0, col))), destroy(false) +{ +} + +Vector::Vector(int row, GeneralMatrix& m) + : len(m.numCols()), s(m.getLD()), data(&(m.get(row, 0))), destroy(false) +{ +} + +bool Vector::operator==(const Vector& y) const +{ + return ConstVector(*this) == y; +} + +bool Vector::operator!=(const Vector& y) const +{ + return ConstVector(*this) != y; +} + +bool Vector::operator<(const Vector& y) const +{ + return ConstVector(*this) < y; +} + +bool Vector::operator<=(const Vector& y) const +{ + return ConstVector(*this) <= y; +} + +bool Vector::operator>(const Vector& y) const +{ + return ConstVector(*this) > y; +} + +bool Vector::operator>=(const Vector& y) const +{ + return ConstVector(*this) >= y; +} + +void Vector::zeros() +{ + if (skip() == 1) { + double* p = base(); + for (int i = 0; i < length()/ZeroPad::length; + i++, p += ZeroPad::length) + memcpy(p, zero_pad.getBase(), sizeof(double)*ZeroPad::length); + for ( ; p < base()+length(); p++) + *p = 0.0; + } else { + for (int i = 0; i < length(); i++) + operator[](i) = 0.0; + } +} + +void Vector::nans() +{ + for (int i = 0; i < length(); i++) + operator[](i) = std::numeric_limits::quiet_NaN(); +} + +void Vector::infs() +{ + for (int i = 0; i < length(); i++) + operator[](i) = std::numeric_limits::infinity(); +} + +Vector::~Vector() +{ + if (destroy) { + delete [] data; + } +} + +void Vector::rotatePair(double alpha, double beta1, double beta2, int i) +{ + double tmp = alpha*operator[](i) - beta1*operator[](i+1); + operator[](i+1) = alpha*operator[](i+1) - beta2*operator[](i); + operator[](i) = tmp; +} + +void Vector::add(double r, const Vector& v) +{ + add(r, ConstVector(v)); +} + +void Vector::add(double r, const ConstVector& v) +{ + int n = length(); + int incx = v.skip(); + int incy = skip(); + BLAS_daxpy(&n, &r, v.base(), &incx, base(), &incy); +} + +void Vector::add(const double* z, const Vector& v) +{ + add(z, ConstVector(v)); +} + +void Vector::add(const double* z, const ConstVector& v) +{ + int n = length()/2; + int incx = v.skip(); + int incy = skip(); + BLAS_zaxpy(&n, z, v.base(), &incx, base(), &incy); +} + +void Vector::mult(double r) +{ + int n = length(); + int incx = skip(); + BLAS_dscal(&n, &r, base(), &incx); +} + +void Vector::mult2(double alpha, double beta1, double beta2, + Vector& x1, Vector& x2, + const Vector& b1, const Vector& b2) +{ + x1.zeros(); + x2.zeros(); + mult2a(alpha, beta1, beta2, x1, x2, b1, b2); +} + +void Vector::mult2a(double alpha, double beta1, double beta2, + Vector& x1, Vector& x2, + const Vector& b1, const Vector& b2) +{ + x1.add(alpha, b1); + x1.add(-beta1, b2); + x2.add(alpha, b2); + x2.add(-beta2, b1); +} + +double Vector::getNorm() const +{ + ConstVector v(*this); + return v.getNorm(); +} + +double Vector::getMax() const +{ + ConstVector v(*this); + return v.getMax(); +} + +double Vector::getNorm1() const +{ + ConstVector v(*this); + return v.getNorm1(); +} + +double Vector::dot(const Vector& y) const +{ + return ConstVector(*this).dot(ConstVector(y)); +} + +bool Vector::isFinite() const +{ + return (ConstVector(*this)).isFinite(); +} + +void Vector::print() const +{ + for (int i = 0; i < length(); i++) { + printf("%d\t%8.4g\n", i, operator[](i)); + } +} + + +ConstVector::ConstVector(const Vector& v, int off, int l) + : BaseConstVector(l, v.skip(), v.base() + v.skip()*off) +{ + if (off < 0 || off + length() > v.length()) { + throw SYLV_MES_EXCEPTION("Subvector not contained in supvector."); + } +} + +ConstVector::ConstVector(const ConstVector& v, int off, int l) + : BaseConstVector(l, v.skip(), v.base() + v.skip()*off) +{ + if (off < 0 || off + length() > v.length()) { + throw SYLV_MES_EXCEPTION("Subvector not contained in supvector."); + } +} + +ConstVector::ConstVector(const double* d, int skip, int l) + : BaseConstVector(l, skip, d) +{ +} + +ConstVector::ConstVector(const ConstGeneralMatrix& m, int col) + : BaseConstVector(m.numRows(), 1, &(m.get(0, col))) +{ +} + +ConstVector::ConstVector(int row, const ConstGeneralMatrix& m) + : BaseConstVector(m.numCols(), m.getLD(), &(m.get(row, 0))) +{ +} + +bool ConstVector::operator==(const ConstVector& y) const +{ + if (length() != y.length()) + return false; + if (length() == 0) + return true; + int i = 0; + while (i < length() && operator[](i) == y[i]) + i++; + return i == length(); +} + +bool ConstVector::operator<(const ConstVector& y) const +{ + int i = std::min(length(), y.length()); + int ii = 0; + while (ii < i && operator[](ii) == y[ii]) + ii++; + if (ii < i) + return operator[](ii) < y[ii]; + else + return length() < y.length(); +} + +double ConstVector::getNorm() const +{ + double s = 0; + for (int i = 0; i < length(); i++) { + s+=operator[](i)*operator[](i); + } + return sqrt(s); +} + +double ConstVector::getMax() const +{ + double r = 0; + for (int i = 0; i < length(); i++) { + if (abs(operator[](i))>r) + r = abs(operator[](i)); + } + return r; +} + +double ConstVector::getNorm1() const +{ + double norm = 0.0; + for (int i = 0; i < length(); i++) { + norm += abs(operator[](i)); + } + return norm; +} + +double ConstVector::dot(const ConstVector& y) const +{ + if (length() != y.length()) + throw SYLV_MES_EXCEPTION("Vector has different length in ConstVector::dot."); + int n = length(); + int incx = skip(); + int incy = y.skip(); + return BLAS_ddot(&n, base(), &incx, y.base(), &incy); +} + +bool ConstVector::isFinite() const +{ + int i = 0; + while (i < length() && isfinite(operator[](i))) + i++; + return i == length(); +} + +void ConstVector::print() const +{ + for (int i = 0; i < length(); i++) { + printf("%d\t%8.4g\n", i, operator[](i)); + } +} + + +ZeroPad::ZeroPad() +{ + for (int i = 0; i < length; i++) + pad[i] = 0.0; +} diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.h new file mode 100644 index 000000000..405743776 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/Vector.h @@ -0,0 +1,178 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/Vector.h,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef VECTOR_H +#define VECTOR_H + +/* NOTE! Vector and ConstVector have not common super class in order + * to avoid running virtual method invokation mechanism. Some + * members, and methods are thus duplicated */ + +#include + +class GeneralMatrix; +class ConstVector; + +class Vector { +protected: + int len; + int s; + double* data; + bool destroy; +public: + Vector() : len(0), s(1), data(0), destroy(false) {} + Vector(int l) : len(l), s(1), data(new double[l]), destroy(true) {} + Vector(Vector& v) : len(v.length()), s(v.skip()), data(v.base()), destroy(false) {} + Vector(const Vector& v) + : len(v.length()), s(1), data(new double[len]), destroy(true) + {copy(v.base(), v.skip());} + Vector(const ConstVector& v); + Vector(const double* d, int l) + : len(l), s(1), data(new double[len]), destroy(true) + {copy(d, 1);} + Vector(double* d, int l) + : len(l), s(1), data(d), destroy(false) {} + Vector(double* d, int skip, int l) + : len(l), s(skip), data(d), destroy(false) {} + Vector(Vector& v, int off, int l); + Vector(const Vector& v, int off, int l); + Vector(GeneralMatrix& m, int col); + Vector(int row, GeneralMatrix& m); + const Vector& operator=(const Vector& v); + const Vector& operator=(const ConstVector& v); + double& operator[](int i) + {return data[s*i];} + const double& operator[](int i) const + {return data[s*i];} + const double* base() const + {return data;} + double* base() + {return data;} + int length() const + {return len;} + int skip() const + {return s;} + + /** Exact equality. */ + bool operator==(const Vector& y) const; + bool operator!=(const Vector& y) const; + /** Lexicographic ordering. */ + bool operator<(const Vector& y) const; + bool operator<=(const Vector& y) const; + bool operator>(const Vector& y) const; + bool operator>=(const Vector& y) const; + + virtual ~Vector(); + void zeros(); + void nans(); + void infs(); + bool toBeDestroyed() const {return destroy;} + void rotatePair(double alpha, double beta1, double beta2, int i); + void add(double r, const Vector& v); + void add(double r, const ConstVector& v); + void add(const double* z, const Vector& v); + void add(const double* z, const ConstVector& v); + void mult(double r); + double getNorm() const; + double getMax() const; + double getNorm1() const; + double dot(const Vector& y) const; + bool isFinite() const; + void print() const; + + /* multiplies | alpha -beta1| |b1| |x1| + | |\otimes I .| | = | | + | -beta2 alpha| |b2| |x2| + */ + static void mult2(double alpha, double beta1, double beta2, + Vector& x1, Vector& x2, + const Vector& b1, const Vector& b2); + /* same, but adds instead of set */ + static void mult2a(double alpha, double beta1, double beta2, + Vector& x1, Vector& x2, + const Vector& b1, const Vector& b2); + /* same, but subtracts instead of add */ + static void mult2s(double alpha, double beta1, double beta2, + Vector& x1, Vector& x2, + const Vector& b1, const Vector& b2) + {mult2a(-alpha, -beta1, -beta2, x1, x2, b1, b2);} +private: + void copy(const double* d, int inc); + const Vector& operator=(int); // must not be used (not implemented) + const Vector& operator=(double); // must not be used (not implemented) +}; + + +class BaseConstVector { +protected: + int len; + int s; + const double* data; +public: + BaseConstVector(int l, int si, const double* d) : len(l), s(si), data(d) {} + BaseConstVector(const BaseConstVector& v) : len(v.len), s(v.s), data(v.data) {} + const BaseConstVector& operator=(const BaseConstVector& v) + {len = v.len; s = v.s; data = v.data; return *this;} + const double& operator[](int i) const + {return data[s*i];} + const double* base() const + {return data;} + int length() const + {return len;} + int skip() const + {return s;} +}; + +class ConstGeneralMatrix; + +class ConstVector : public BaseConstVector { +public: + ConstVector(const Vector& v) : BaseConstVector(v.length(), v.skip(), v.base()) {} + ConstVector(const ConstVector& v) : BaseConstVector(v) {} + ConstVector(const double* d, int l) : BaseConstVector(l, 1, d) {} + ConstVector(const Vector& v, int off, int l); + ConstVector(const ConstVector& v, int off, int l); + ConstVector(const double* d, int skip, int l); + ConstVector(const ConstGeneralMatrix& m, int col); + ConstVector(int row, const ConstGeneralMatrix& m); + + virtual ~ConstVector() {} + /** Exact equality. */ + bool operator==(const ConstVector& y) const; + bool operator!=(const ConstVector& y) const + {return ! operator==(y);} + /** Lexicographic ordering. */ + bool operator<(const ConstVector& y) const; + bool operator<=(const ConstVector& y) const + {return operator<(y) || operator==(y);} + bool operator>(const ConstVector& y) const + {return ! operator<=(y);} + bool operator>=(const ConstVector& y) const + {return ! operator<(y);} + + double getNorm() const; + double getMax() const; + double getNorm1() const; + double dot(const ConstVector& y) const; + bool isFinite() const; + void print() const; +}; + +class ZeroPad { +public: + //static const int length = 16; + enum { length = 16}; +private: + double pad[16]; +public: + ZeroPad(); + const double* getBase() const {return pad;} +}; + +#endif /* VECTOR_H */ + + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/cppblas.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/cppblas.h new file mode 100644 index 000000000..65df7aeb4 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/cppblas.h @@ -0,0 +1,68 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/cppblas.h,v 1.2 2004/11/24 20:42:52 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef CPPBLAS_H +#define CPPBLAS_H + +#if defined(MATLAB) && !defined(__linux__) +#define BLAS_dgemm dgemm +#define BLAS_dgemv dgemv +#define BLAS_dtrsv dtrsv +#define BLAS_dtrmv dtrmv +#define BLAS_daxpy daxpy +#define BLAS_dcopy dcopy +#define BLAS_zaxpy zaxpy +#define BLAS_dscal dscal +#define BLAS_dtrsm dtrsm +#define BLAS_ddot ddot +#else /* defined(MATLAB) && !defined(__linux__) */ +#define BLAS_dgemm dgemm_ +#define BLAS_dgemv dgemv_ +#define BLAS_dtrsv dtrsv_ +#define BLAS_dtrmv dtrmv_ +#define BLAS_daxpy daxpy_ +#define BLAS_dcopy dcopy_ +#define BLAS_zaxpy zaxpy_ +#define BLAS_dscal dscal_ +#define BLAS_dtrsm dtrsm_ +#define BLAS_ddot ddot_ +#endif /* defined(MATLAB) && !defined(__linux__) */ + +#define BLCHAR const char* +#define CONST_BLINT const int* +#define CONST_BLDOU const double* +#define BLDOU double* + +extern "C" { + void BLAS_dgemm(BLCHAR transa, BLCHAR transb, CONST_BLINT m, CONST_BLINT n, + CONST_BLINT k, CONST_BLDOU alpha, CONST_BLDOU a, CONST_BLINT lda, + CONST_BLDOU b, CONST_BLINT ldb, CONST_BLDOU beta, + BLDOU c, CONST_BLINT ldc); + void BLAS_dgemv(BLCHAR trans, CONST_BLINT m, CONST_BLINT n, CONST_BLDOU alpha, + CONST_BLDOU a, CONST_BLINT lda, CONST_BLDOU x, CONST_BLINT incx, + CONST_BLDOU beta, BLDOU y, CONST_BLINT incy); + void BLAS_dtrsv(BLCHAR uplo, BLCHAR trans, BLCHAR diag, CONST_BLINT n, + CONST_BLDOU a, CONST_BLINT lda, BLDOU x, CONST_BLINT incx); + void BLAS_dtrmv(BLCHAR uplo, BLCHAR trans, BLCHAR diag, CONST_BLINT n, + CONST_BLDOU a, CONST_BLINT lda, BLDOU x, CONST_BLINT incx); + void BLAS_daxpy(CONST_BLINT n, CONST_BLDOU a, CONST_BLDOU x, CONST_BLINT incx, + BLDOU y, CONST_BLINT incy); + void BLAS_dcopy(CONST_BLINT n, CONST_BLDOU x, CONST_BLINT incx, + BLDOU y, CONST_BLINT incy); + void BLAS_zaxpy(CONST_BLINT n, CONST_BLDOU a, CONST_BLDOU x, CONST_BLINT incx, + BLDOU y, CONST_BLINT incy); + void BLAS_dscal(CONST_BLINT n, CONST_BLDOU a, BLDOU x, CONST_BLINT incx); + void BLAS_dtrsm(BLCHAR side, BLCHAR uplo, BLCHAR transa, BLCHAR diag, CONST_BLINT m, + CONST_BLINT n, CONST_BLDOU alpha, CONST_BLDOU a, CONST_BLINT lda, + BLDOU b, CONST_BLINT ldb); + double BLAS_ddot(CONST_BLINT n, CONST_BLDOU x, CONST_BLINT incx, CONST_BLDOU y, + CONST_BLINT incy); +}; + + +#endif /* CPPBLAS_H */ + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/cc/cpplapack.h b/mex/sources/korderpert/Dyn_pp/sylv/cc/cpplapack.h new file mode 100644 index 000000000..bee6a4394 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/cc/cpplapack.h @@ -0,0 +1,82 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/cc/cpplapack.h,v 1.3 2004/11/24 20:43:10 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef CPPLAPACK_H +#define CPPLAPACK_H + +#if defined(MATLAB) && !defined(__linux__) +#define LAPACK_dgetrs dgetrs +#define LAPACK_dgetrf dgetrf +#define LAPACK_dgees dgees +#define LAPACK_dgecon dgecon +#define LAPACK_dtrexc dtrexc +#define LAPACK_dtrsyl dtrsyl +#define LAPACK_dpotrf dpotrf +#define LAPACK_dgges dgges +#define LAPACK_dsyev dsyev +#define LAPACK_dsyevr dsyevr +#else /* MATLAB */ +#define LAPACK_dgetrs dgetrs_ +#define LAPACK_dgetrf dgetrf_ +#define LAPACK_dgees dgees_ +#define LAPACK_dgecon dgecon_ +#define LAPACK_dtrexc dtrexc_ +#define LAPACK_dtrsyl dtrsyl_ +#define LAPACK_dpotrf dpotrf_ +#define LAPACK_dgges dgges_ +#define LAPACK_dsyev dsyev_ +#define LAPACK_dsyevr dsyevr_ +#endif /* MATLAB */ + +#define LACHAR const char* +#define CONST_LAINT const int* +#define LAINT int* +#define CONST_LADOU const double* +#define LADOU double* +typedef int (*DGGESCRIT)(const double*, const double*, const double*); + +extern "C" { + void LAPACK_dgetrs(LACHAR trans, CONST_LAINT n, CONST_LAINT nrhs, + CONST_LADOU a, CONST_LAINT lda, CONST_LAINT ipiv, + LADOU b, CONST_LAINT ldb, LAINT info); + void LAPACK_dgetrf(CONST_LAINT m, CONST_LAINT n, LADOU a, + CONST_LAINT lda, LAINT ipiv, LAINT info); + void LAPACK_dgees(LACHAR jobvs, LACHAR sort, const void* select, + CONST_LAINT n, LADOU a, CONST_LAINT lda, LAINT sdim, + LADOU wr, LADOU wi, LADOU vs, CONST_LAINT ldvs, + LADOU work, CONST_LAINT lwork, const void* bwork, LAINT info); + void LAPACK_dgecon(LACHAR norm, CONST_LAINT n, CONST_LADOU a, CONST_LAINT lda, + CONST_LADOU anorm, LADOU rnorm, LADOU work, LAINT iwork, + LAINT info); + void LAPACK_dtrexc(LACHAR compq, CONST_LAINT n, LADOU t, CONST_LAINT ldt, + LADOU q, CONST_LAINT ldq, LAINT ifst, LAINT ilst, LADOU work, + LAINT info); + void LAPACK_dtrsyl(LACHAR trana, LACHAR tranb, CONST_LAINT isgn, CONST_LAINT m, + CONST_LAINT n, CONST_LADOU a, CONST_LAINT lda, CONST_LADOU b, + CONST_LAINT ldb, LADOU c, CONST_LAINT ldc, LADOU scale, + LAINT info); + void LAPACK_dpotrf(LACHAR uplo, CONST_LAINT n, LADOU a, CONST_LAINT lda, + LAINT info); + void LAPACK_dgges(LACHAR jobvsl, LACHAR jobvsr, LACHAR sort, DGGESCRIT delztg, + CONST_LAINT n, LADOU a, CONST_LAINT lda, LADOU b, CONST_LAINT ldb, + LAINT sdim, LADOU alphar, LADOU alphai, LADOU beta, + LADOU vsl, CONST_LAINT ldvsl, LADOU vsr, CONST_LAINT ldvsr, + LADOU work, CONST_LAINT lwork, LAINT bwork, LAINT info); + void LAPACK_dsyev(LACHAR jobz, LACHAR uplo, CONST_LAINT n, LADOU a, CONST_LAINT lda, + LADOU w, LADOU work, CONST_LAINT lwork, LAINT info); + void LAPACK_dsyevr(LACHAR jobz, LACHAR range, LACHAR uplo, CONST_LAINT n, LADOU a, + CONST_LAINT lda, LADOU lv, LADOU vu, CONST_LAINT il, CONST_LAINT iu, + CONST_LADOU abstol, LAINT m, LADOU w, LADOU z, CONST_LAINT ldz, + LAINT isuppz, LADOU work, CONST_LAINT lwork, LAINT iwork, CONST_LAINT liwork, + LAINT info); +}; + + +#endif /* CPPLAPACK_H */ + + +// Local Variables: +// mode:C++ +// End: + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/change_log.html b/mex/sources/korderpert/Dyn_pp/sylv/change_log.html new file mode 100644 index 000000000..8fd665f35 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/change_log.html @@ -0,0 +1,140 @@ + + + + +Sylvester Solver Change Log + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Tag Date Description/Changes
2003/09/10Initial version solving triangular system put to repository
Implemented solution of general case.
Implemented a memory pool (Paris).
Implemented MEX interface to the routine (Paris).
Implemented QuasiTriangularZero (Paris) (not fully used yet).
rel-12003/10-02Version sent to Michel.
Inheritance streamlined, QuasiTriangular inherits from GeneralMatrix.
Implemented block diagonalization algorithm.
Solution routines rewritten so that the output rewrites input, +considerable memory improvement.
MEX interface now links with LAPACK library from Matlab.
Added a hack to MEX library loading in order to avoid Matlab crash in Wins.
rel-22003/10/15Version sent to Michel.
KronUtils now rewrite input by output using less memory.
Added iterative solution algorithm (doubling).
Introduced abstraction for set of parameters (SylvParams).
Algorithm enabled to solve problems with singular C.
Implemented a class chooser chossing between QuasiTriangularZero, +and QuasiTriangular (padded with zero) depending on size of the +problem. Full use of QuasiTriangularZero.
Reimplemented QuasiTriangular::solve, offdiagonal elements are +eleiminated by gauss with partial pivoting, not by transformation of +complex eigenvalues. More stable for ill conditioned eigenvalues.
Reimplemented calculation of eliminating vectors, much more +numerically stable now.
Implemented algorithm for ordering of eigenvalues (not used now, +no numerical improvements).
rel-32003/12/4Version sent to Michel.
GeneralMatrix separated for use outside, in sylv module we use +its subclass SylvMatrix. Implemented ConstGeneralMatrix (useful outside). +
rel-42004/6/4Version, which was moved to pythie.cepremap.cnrs.fr repository.
+ + diff --git a/mex/sources/korderpert/Dyn_pp/sylv/matlab/Makefile b/mex/sources/korderpert/Dyn_pp/sylv/matlab/Makefile new file mode 100644 index 000000000..0cad09308 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/matlab/Makefile @@ -0,0 +1,35 @@ +# $Header: /var/lib/cvs/dynare_cpp/sylv/matlab/Makefile,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ + +# Tag $Name: $ + +# set directory to sylvester code +sylv=../cc + +LD_LIBS := -llapack -lcblas -lblas -latlas +CC_FLAGS := -Wall -I../cc +CC_DEFS := -I/usr/local/matlab73/extern/include -DMATLAB #-DUSE_MEMORY_POOL +MEX := mex.bat + +objects := $(patsubst %.cpp,%.o,$(wildcard ../cc/*.cpp)) +headers := $(wildcard ../cc/*.h) + +# set mex file suffix +mex_suffix=dll +ifeq ($(OSTYPE),linux-gnu) + mex_suffix=mexglx +endif + +aa_gensylv.$(mex_suffix): gensylv.cpp ../cc/sylvester.a + $(MEX) -I../cc -DMATLAB gensylv.cpp ../cc/sylvester.a c:/matlab6p5/extern/lib/win32/microsoft/msvc60/libmwlapack.lib + mv gensylv.$(mex_suffix) aa_gensylv.$(mex_suffix) + +../cc/sylvester.a : $(objects) + make -C ../cc sylvester.a + +../cc/%.o: ../cc/%.cpp $(headers) + make EXTERN_DEFS="$(CC_DEFS)" -C ../cc $*.o + +clear: + make -C ../cc clear + rm -f *.dll + rm -f *.mexglx diff --git a/mex/sources/korderpert/Dyn_pp/sylv/matlab/dummy.h b/mex/sources/korderpert/Dyn_pp/sylv/matlab/dummy.h new file mode 100644 index 000000000..9ce95e82b --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/matlab/dummy.h @@ -0,0 +1,3 @@ +/* this is only dummy header file to be able to loadlibrary to MATLAB */ +void mexFunction(int nhls, mxArray* plhs[], + int nhrs, const mxArray* prhs[]); diff --git a/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.cpp b/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.cpp new file mode 100644 index 000000000..9cfad4300 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.cpp @@ -0,0 +1,100 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/matlab/gensylv.cpp,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ */ + +/* Tag $Name: $ */ + + +#include "mex.h" + +#include "GeneralSylvester.h" +#include "SylvException.h" + + +void gen_sylv_solve(int order, int n, int m, int zero_cols, + const double* A, const double* B, + const double* C, double* X) +{ + try { + GeneralSylvester s(order, n, m, zero_cols, A, B, C, X, false); + s.solve(); + } catch (const SylvException& e) { + char mes[1000]; + e.printMessage(mes, 999); + mexErrMsgTxt(mes); + } +} + +void gen_sylv_solve_and_check(int order, int n, int m, int zero_cols, + const double* A, const double* B, + const double* C, const double* D, + double* X, mxArray*& p) +{ + try { + GeneralSylvester s(order, n, m, zero_cols, A, B, C, X, true); + s.solve(); + s.check(D); + p = s.getParams().createStructArray(); + } catch (const SylvException& e) { + char mes[1000]; + e.printMessage(mes, 999); + mexErrMsgTxt(mes); + } +} + +void checkDimensions(const mwSize* const Adims, const mwSize* const Bdims, + const mwSize* const Cdims, const mwSize* const Ddims, + int order) +{ + if (Adims[0] != Adims[1]) + mexErrMsgTxt("Matrix A must be a square matrix."); + if (Adims[0] != Bdims[0]) + mexErrMsgTxt("Matrix A and matrix B must have the same number of rows."); + if (Adims[0] != Ddims[0]) + mexErrMsgTxt("Matrix A and matrix B must have the same number of rows."); + if (Cdims[0] != Cdims[1]) + mexErrMsgTxt("Matrix C must be square."); + if (Bdims[0] < Bdims[1]) + mexErrMsgTxt("Matrix B must not have more columns than rows."); + if (Ddims[1] != power(Cdims[0], order)) + mexErrMsgTxt("Matrix D has wrong number of columns."); +} + +extern "C" { + void mexFunction(int nhls, mxArray* plhs[], + int nhrs, const mxArray* prhs[]) + { + if (nhrs != 5) + mexErrMsgTxt("Must have exactly 5 input args."); + if (nhls !=1 && nhls != 2) + mexErrMsgTxt("Must have 1 or 2 output args."); + + int order = (int)mxGetScalar(prhs[0]); + const mxArray* const A = prhs[1]; + const mxArray* const B = prhs[2]; + const mxArray* const C = prhs[3]; + const mxArray* const D = prhs[4]; + const mwSize* const Adims = mxGetDimensions(A); + const mwSize* const Bdims = mxGetDimensions(B); + const mwSize* const Cdims = mxGetDimensions(C); + const mwSize* const Ddims = mxGetDimensions(D); + checkDimensions(Adims, Bdims, Cdims, Ddims, order); + int n = Adims[0]; + int m = Cdims[0]; + int zero_cols = Bdims[0] - Bdims[1]; + mxArray* X = mxCreateDoubleMatrix(Ddims[0], Ddims[1], mxREAL); + // copy D to X + Vector Xvec((double*)mxGetPr(X), power(m, order)*n); + ConstVector Dvec((double*)mxGetPr(D), power(m, order)*n); + Xvec = Dvec; + // solve (or solve and check) + if (nhls == 1) { + gen_sylv_solve(order, n, m, zero_cols, + mxGetPr(A), mxGetPr(B), mxGetPr(C), + mxGetPr(X)); + } else if (nhls == 2) { + gen_sylv_solve_and_check(order, n, m, zero_cols, + mxGetPr(A), mxGetPr(B), mxGetPr(C), + mxGetPr(D), mxGetPr(X), plhs[1]); + } + plhs[0] = X; + } +}; diff --git a/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.m b/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.m new file mode 100644 index 000000000..b6cb0dccb --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/matlab/gensylv.m @@ -0,0 +1,74 @@ +% +% GENSYLV solves the following matrix equation: +% A*X + [0 B]*X*kron(C,..,C) = D, +% where +% A ...... regular (n,n) matrix, +% [0 B] .. (n,n) matrix with a few first +% columns equal to zeros +% B ...... rectangular (n, nz) matrix with nz<=n +% C ...... regular (m,m) matrix, whose spectrum is +% within (-1, 1) +% kron(C,..,C) +% ...... Kronecker power of C of order 'order' +% D ..... rectangular (n, m^order) matrix. +% +% X = gensylv(order, A, B, C, D) +% returns X as the solution, doesn't perform any checks +% +% [X, par] = gensylv(order, A, B, C, D) +% solves the system, and performs checks. 'par' is struct +% containing information about solution and error norms +% returned by the check. This is a list of the struct +% members, some of them may be missing in actual returned +% value: +% method = method used for solution recursive/iterative +% convergence_tol = convergence tolerance for iter. method +% max_num_iter = max number of steps for iter. method +% bs_norm = Bavely Stewart log10 norm for diagonalization +% converged = convergence status for iterative method +% iter_last_norm = residual norm of the last step of iterations +% num_iter = number of iterations performed +% f_err1 = norm 1 of abs. error C-V*F*inv(V) +% f_errI = norm Inf of abs. error C-V*F*inv(V) +% viv_err1 = norm 1 of abs. error I-V*inv(V) +% viv_errI = norm Inf of abs. error I-V*inv(V) +% ivv_err1 = norm 1 of abs. error I-inv(V)*V +% ivv_errI = norm Inf of abs. error I-inv(V)*V +% f_blocks = number of diagonal blocks of F +% f_largest = size of largest diagonal block in F +% f_zeros = number of off diagonal zeros in F +% f_offdiag = number of all offdiagonal elements in F +% rcondA1 = reciprocal cond 1 number of A +% rcondAI = reciprocal cond Inf number of A +% eig_min = minimum eigenvalue of vectorized system +% mat_err1 = rel. matrix 1 norm of A*X-[0 B]*X*kron(C,..,C)-D +% mat_errI = rel. matrix Inf norm of --"-- +% mat_errF = rel. matrix Frobenius norm of --"-- +% vec_err1 = rel. vector 1 norm of --"-- +% vec_errI = rel. vector Inf norm of --"-- +% cpu_time = CPU time needed for solution in CPU seconds +% + +% $Header: /var/lib/cvs/dynare_cpp/sylv/matlab/gensylv.m,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ +% Tag $Name: $ + +function [X, varargout] = gensylv(order, A, B, C, D) + +% in Windows, ensure that aa_gensylv.dll is loaded, this prevents +% clearing the function and a successive Matlab crash +if strcmp('PCWIN', computer) + if ~ libisloaded('aa_gensylv') + loadlibrary('aa_gensylv', 'dummy'); + end +end + +% launch aa_gensylv +if nargout == 1 + X = aa_gensylv(order, A, B, C, D); +elseif nargout == 2 + [X, par] = aa_gensylv(order, A, B, C, D); + varargout(1) = {par}; +else + error('Must have 1 or 2 output arguments.'); +end + \ No newline at end of file diff --git a/mex/sources/korderpert/Dyn_pp/sylv/matlab/mexopts.bat b/mex/sources/korderpert/Dyn_pp/sylv/matlab/mexopts.bat new file mode 100644 index 000000000..fe71cb2a0 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/matlab/mexopts.bat @@ -0,0 +1,59 @@ +@echo off +rem $Header: /var/lib/cvs/dynare_cpp/sylv/matlab/mexopts.bat,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ +rem Tag $Name: $ +rem c:\ondra\wk\sylv\matlab\mexopts.bat +rem Generated by gnumex.m script in c:\fs\gnumex +rem gnumex version: 1.08 +rem Compile and link options used for building MEX etc files with +rem the Mingw/Cygwin tools. Options here are: +rem Cygwin (cygwin*.dll) linking +rem Mex file creation +rem Standard (safe) linking to temporary libraries +rem Language C / C++ +rem Matlab version 6.5 +rem +set MATLAB=C:\MATLAB~2 +set GM_PERLPATH=C:\MATLAB~2\sys\perl\win32\bin\perl.exe +set GM_UTIL_PATH=c:\fs\gnumex +set PATH=C:\fs\cygwin\bin;%PATH% +rem +rem Added libraries for linking +set GM_ADD_LIBS= +rem +rem Type of file to compile (mex or engine) +set GM_MEXTYPE=mex +rem +rem Language for compilation +set GM_MEXLANG=c +rem +rem def files to be converted to libs +set GM_DEFS2LINK=libmx.def;libmex.def;libmat.def;_libmatlbmx.def; +rem +rem dlltool command line +set GM_DLLTOOL=c:\fs\gnumex\mexdlltool -E --as C:\fs\cygwin\bin\as.exe +rem +rem compiler options; add compiler flags to compflags as desired +set NAME_OBJECT=-o +set COMPILER=gcc +set COMPFLAGS=-c -DMATLAB_MEX_FILE +set OPTIMFLAGS=-O3 -mcpu=pentium -malign-double +set DEBUGFLAGS=-g +set CPPCOMPFLAGS=%COMPFLAGS% -x c++ +set CPPOPTIMFLAGS=%OPTIMFLAGS% +set CPPDEBUGFLAGS=%DEBUGFLAGS% +rem +rem NB Library creation commands occur in linker scripts +rem +rem Linker parameters +set LINKER=%GM_PERLPATH% %GM_UTIL_PATH%\linkmex.pl +set LINKFLAGS= +set CPPLINKFLAGS= --driver-name c++ +set LINKOPTIMFLAGS=-s +set LINKDEBUGFLAGS=-g +set LINK_FILE= +set LINK_LIB= +set NAME_OUTPUT=-o %OUTDIR%%MEX_NAME%.dll +rem +rem Resource compiler parameters +set RC_COMPILER=%GM_PERLPATH% %GM_UTIL_PATH%\rccompile.pl --unix -o %OUTDIR%mexversion.res +set RC_LINKER= diff --git a/mex/sources/korderpert/Dyn_pp/sylv/sylvester.tex b/mex/sources/korderpert/Dyn_pp/sylv/sylvester.tex new file mode 100644 index 000000000..a5476183a --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/sylvester.tex @@ -0,0 +1,541 @@ +\input amstex +\documentstyle{amsppt} +\def\vec{\mathop{\hbox{vec}}} +\def\otimesi{\mathop{\overset{\ssize i}\to{\otimes}}} +\def\iF{\,^i\!F} +\def\imF{\,^{i-1}\!F} +\def\solvi{\bold{solv1}} +\def\solvii{\bold{solv2}} +\def\solviip{\bold{solv2p}} + +\topmatter +\title Solution of Specialized Sylvester Equation\endtitle +\author Ondra Kamenik\endauthor +\email ondrej.kamenik@cnb.cz\endemail +\endtopmatter + +\document +Given the following matrix equation +$$AX+BX\left(\otimesi C\right)=D,$$ where $A$ is regular $n\times n$ +matrix, $X$ is $n\times m^i$ matrix of unknowns, $B$ is singular +$n\times n$ matrix, $C$ is $m\times m$ regular matrix with +$|\beta(C)|<1$ (i.e. modulus of largest eigenvalue is less than one), +$i$ is an order of Kronecker product, and finally $D$ is $n\times m^i$ +matrix. + +First we multiply the equation from the left by $A^{-1}$ to obtain: +$$X+A^{-1}BX\left(\otimesi C\right)=A^{-1}D$$ +Then we find real Schur decomposition $K=UA^{-1}BU^T$, and +$F=VCV^T$. The equation can be written as +$$UX\left(\otimesi V^T\right) + +KUX\left(\otimesi V^T\right)\left(\otimesi F\right) = +UA^{-1}D\left(\otimesi V^T\right)$$ +This can be rewritten as +$$Y + KY\left(\otimesi F\right)=\widehat{D},$$ +and vectorized +$$\left(I+\otimesi F^T\otimes K\right)\vec(Y)=\vec(\widehat{D})$$ +Let $\iF$ denote $\otimesi F^T$ for the rest of the text. + +\proclaim{Lemma 1} +For any $n\times n$ matrix $A$ and $\beta_1\beta_2>0$, if there is +exactly one solution of +$$\left(I_2\otimes I_n + +\pmatrix\alpha&\beta_1\cr-\beta_2&\alpha\endpmatrix +\otimes A\right)\pmatrix x_1\cr x_2\endpmatrix = +\pmatrix d_1\cr d_2\endpmatrix,$$ +then it can be obtained as solution of +$$\align +\left(I_n + 2\alpha A+(\alpha^2+\beta^2)A^2\right)x_1 & = +\widehat{d_1}\\ +\left(I_n + 2\alpha A+(\alpha^2+\beta^2)A^2\right)x_2 & = +\widehat{d_2} + \endalign$$ +where $\beta=\sqrt{\beta1\beta2}$, and +$$ +\pmatrix \widehat{d_1}\cr\widehat{d_2}\endpmatrix = +\left(I_2\otimes I_n + +\pmatrix\alpha&-\beta_1\cr\beta_2&\alpha\endpmatrix +\otimes A\right)\pmatrix d_1\cr d_2\endpmatrix$$ +\endproclaim + +\demo{Proof} Since +$$ +\pmatrix \alpha&\beta_1\cr-\beta_2&\alpha\endpmatrix +\pmatrix \alpha&-\beta_1\cr\beta_2&\alpha\endpmatrix += +\pmatrix \alpha&-\beta_1\cr\beta_2&\alpha\endpmatrix +\pmatrix \alpha&\beta_1\cr-\beta_2&\alpha\endpmatrix += +\pmatrix \alpha^2+\beta^2&0\cr 0&\alpha^2+\beta^2\endpmatrix, +$$ +it is easy to see that if the equation is multiplied by +$$I_2\otimes I_n + +\pmatrix\alpha&-\beta_1\cr\beta_2&\alpha\endpmatrix +\otimes A$$ +we obtain the result. We only need to prove that the matrix is +regular. But this is clear because matrix +$$\pmatrix \alpha&-\beta_1\cr\beta_2&\alpha\endpmatrix$$ +collapses an eigenvalue of $A$ to $-1$ iff the matrix +$$\pmatrix \alpha&\beta_1\cr-\beta_2&\alpha\endpmatrix$$ +does.\qed +\enddemo + +\proclaim{Lemma 2} +For any $n\times n$ matrix $A$ and $\delta_1\delta_2>0$, if there is +exactly one solution of +$$\left(I_2\otimes I_n + +2\alpha\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix\otimes A ++(\alpha^2+\beta^2) +\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix^2\otimes A^2\right) +\pmatrix x_1\cr x_2\endpmatrix= +\pmatrix d_1\cr d_2\endpmatrix +$$ +it can be obtained as +$$ +\align +\left(I_n+2a_1A+(a_1^2+b_1^2)A^2\right)\left(I_n+2a_2A+(a_2^2+b_2^2)A^2\right) +x_1 & =\widehat{d_1}\\ +\left(I_n+2a_1A+(a_1^2+b_1^2)A^2\right)\left(I_n+2a_2A+(a_2^2+b_2^2)A^2\right) +x_2 & =\widehat{d_2} +\endalign$$ +where +$$ +\pmatrix \widehat{d_1}\cr\widehat{d_2}\endpmatrix = +\left(I_2\otimes I_n + +2\alpha\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix\otimes A ++(\alpha^2+\beta^2) +\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix^2\otimes A^2\right) +\pmatrix d_1\cr d_2\endpmatrix +$$ +and +$$ +\align +a_1 & = \alpha\gamma - \beta\delta\\ +b_1 & = \alpha\delta + \gamma\beta\\ +a_2 & = \alpha\gamma + \beta\delta\\ +b_2 & = \alpha\delta - \gamma\beta\\ +\delta & = \sqrt{\delta_1\delta_2} +\endalign$$ +\endproclaim + +\demo{Proof} +The matrix can be written as +$$\left(I_2\otimes I_n+(\alpha+\roman i\beta) +\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix\otimes A\right) +\left(I_2\otimes I_n +(\alpha-\roman i\beta) +\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix\otimes A\right). +$$ +Note that the both matrices are regular since their product is +regular. For the same reason as in the previous proof, the following +matrix is also regular +$$\left(I_2\otimes I_n+(\alpha+\roman i\beta) +\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix\otimes A\right) +\left(I_2\otimes I_n +(\alpha-\roman i\beta) +\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix\otimes A\right), +$$ +and we may multiply the equation by this matrix obtaining +$\widehat{d_1}$ and $\widehat{d_2}$. Note that the four matrices +commute, that is why we can write the whole product as +$$ +\align +\left(I_2\otimes I_n + (\alpha+\roman i\beta) +\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix\otimes A\right)\cdot +\left(I_2\otimes I_n + (\alpha+\roman i\beta) +\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix\otimes A\right)&\cdot\\ +\left(I_2\otimes I_n + (\alpha-\roman i\beta) +\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix\otimes A\right)\cdot +\left(I_2\otimes I_n + (\alpha-\roman i\beta) +\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix\otimes A\right)&=\\ +\left(I_2\otimes I_n + 2(\alpha + \roman i\beta) +\pmatrix\gamma&0\cr 0&\gamma\endpmatrix\otimes A + +(\alpha + \roman i\beta)^2 +\pmatrix\gamma^2+\delta^2&0\cr 0&\gamma^2+\delta^2\endpmatrix\otimes A^2 +\right)&\cdot\\ +\left(I_2\otimes I_n + 2(\alpha - \roman i\beta) +\pmatrix\gamma&0\cr 0&\gamma\endpmatrix\otimes A + +(\alpha - \roman i\beta)^2 +\pmatrix\gamma^2+\delta^2&0\cr 0&\gamma^2+\delta^2\endpmatrix\otimes A^2 +\right)& +\endalign +$$ +The product is a diagonal consiting of two $n\times n$ blocks, which are the +same. The block can be rewritten as product: +$$ +\align +(I_n+(\alpha+\roman i\beta)(\gamma+\roman i\delta)A)\cdot +(I_n+(\alpha+\roman i\beta)(\gamma-\roman i\delta)A)&\cdot\\ +(I_n+(\alpha-\roman i\beta)(\gamma+\roman i\delta)A)\cdot +(I_n+(\alpha-\roman i\beta)(\gamma-\roman i\delta)A)& +\endalign +$$ +and after reordering +$$ +\align +(I_n+(\alpha+\roman i\beta)(\gamma+\roman i\delta)A)\cdot +(I_n+(\alpha-\roman i\beta)(\gamma-\roman i\delta)A)&\cdot\\ +(I_n+(\alpha+\roman i\beta)(\gamma-\roman i\delta)A)\cdot +(I_n+(\alpha-\roman i\beta)(\gamma+\roman i\delta)A)&=\\ +(I_n+2(\alpha\gamma-\beta\delta)A+ +(\alpha^2+\beta^2)(\gamma^2+\delta^2)A^2)&\cdot\\ +(I_n+2(\alpha\gamma+\beta\delta)A+ +(\alpha^2+\beta^2)(\gamma^2+\delta^2)A^2)& +\endalign +$$ +Now it suffices to compare $a_1=\alpha\gamma-\beta\delta$ and verify +that +$$ +\align +b_1^2 & = (\alpha^2+\beta^2)(\gamma^2+\delta^2)-a_1^2 =\cr + & = \alpha^2\gamma^2+\beta^2\gamma^2+\alpha^2\beta^2+\beta^2\delta^2- + (\alpha\gamma)^2+2\alpha\beta\gamma\delta-(\beta\delta)^2=\cr + & = (\beta\gamma)^2 + (\alpha\beta)^2 + 2\alpha\beta\gamma\delta=\cr + & = (\beta\gamma +\alpha\beta)^2 +\endalign +$$ +For $b_2$ it is done in the same way. +\qed +\enddemo + +\head The Algorithm\endhead + +Below we define three functions of which +$\vec(Y)=\solvi(1,\vec(\widehat{D}),i)$ provides the solution $Y$. $X$ +is then obtained as $X=U^TY\left(\otimesi V\right)$. + +\subhead Synopsis\endsubhead + +$F^T$ is $m\times m$ lower quasi-triangular matrix. Let $m_r$ be a +number of real eigenvalues, $m_c$ number of complex pairs. Thus +$m=m_r+2m_c$. Let $F_j$ denote +$j$-th diagonal block of $F^T$ ($1\times 1$ or $2\times 2$ matrix) for +$j=1,\ldots, m_r+m_c$. For a fixed $j$, let $\bar j$ denote index of the +first column of $F_j$ in $F^T$. Whenever we write something like +$(I_{m^i}\otimes I_n+r\iF\otimes K)x = d$, $x$ and $d$ denote column +vectors of appropriate dimensions, and $x_{\bar j}$ is $\bar j$-th +partition of $x$, and $x_j=(x_{\bar j}\quad x_{\bar j+1})^T$ if $j$-th +eigenvalue is complex, and $x_j=x_{\bar j}$ if $j$-th eigenvalue is real. + +\subhead Function $\solvi$\endsubhead + +The function $x=\solvi(r,d,i)$ solves equation +$$\left(I_{m^i}\otimes I_n+r\iF\otimes K\right)x = d.$$ +The function proceedes as follows: + +If $i=0$, the equation is solved directly, $K$ is upper +quasi-triangular matrix, so this is easy. + +If $i>0$, then we go through diagonal blocks $F_j$ for +$j=1,\ldots, m_r+m_c$ and perform: +\roster +\item if $F_j=(f_{\bar j\bar j}) = (f)$, then we return +$x_j=\solvi(rf,d_{\bar j}, i-1)$. Then precalculate $y=d_j-x_j$, and +eliminate guys below $F_j$. This is, for each $k=\bar j+1,\ldots, m$, we +put +$$d_k = d_k-rf_{\bar jk}\left(\imF\otimes K\right)x_{\bar j}= +d_k - \frac{f_{\bar jk}}{f}y$$ + +\item if $F_j=\pmatrix\alpha&\beta_1\cr -\beta_2&\alpha\endpmatrix$, +we return $x_j=\solvii(r\alpha, r\beta_1, r\beta_2, d_j, i-1)$. Then +we precalculate +$$y=\left(\pmatrix\alpha&-\beta_1\cr \beta_2&\alpha\endpmatrix +\otimes I_{m^{i-1}}\otimes I_n\right) +\pmatrix d_{\bar j} - x_{\bar j}\cr + d_{\bar j+1} - x_{\bar j+1} +\endpmatrix$$ +and eliminate guys below $F_j$. This is, for each $k=\bar j+2,\ldots, n$ +we put +$$ +\align +d_k &= d_k - r(f_{{\bar j}k}\quad f_{{\bar j}+1 k}) + \otimes\left(\imF\otimes K\right)x_j\\ + &= d_k - \frac{1}{\alpha^2+\beta_1\beta_2} + \left((f_{{\bar j}k}\quad f_{{\bar j}+1 k}) + \otimes I_{m^{i-1}}\otimes I_n\right)y +\endalign +$$ +\endroster + +\subhead Function $\solvii$\endsubhead + +The function $x=\solvii(\alpha, \beta_1, \beta_2, d, i)$ solves +equation +$$ +\left(I_2\otimes I_{m^i}\otimes I_n + +\pmatrix\alpha&\beta_1\cr-\beta_2&\alpha\endpmatrix +\otimes\iF\otimes K\right)x=d +$$ + +According to {\bf Lemma 1} the function returns +$$ +x=\pmatrix\solviip(\alpha,\beta_1\beta_2,\widehat{d_1},i)\cr + \solviip(\alpha,\beta_1\beta_2,\widehat{d_2},i)\endpmatrix, +$$ +where $\widehat{d_1}$, and $\widehat{d_2}$ are partitions of +$\widehat{d}$ from the lemma. + +\subhead Function $\solviip$\endsubhead + +The function $x=\solviip(\alpha,\beta^2,d,i)$ solves equation +$$ +\left(I_{m^i}\otimes I_n + 2\alpha\iF\otimes K + +(\alpha^2+\beta^2)\iF^2\otimes K^2\right)x = d +$$ +The function proceedes as follows: + +If $i=0$, the matrix $I_n+2\alpha K+(\alpha^2+\beta^2)K^2$ is +calculated and the solution is obtained directly. + +Now note that diagonal blocks of $F^{2T}$ are of the form $F_j^2$, +since if the $F^T$ is block partitioned according to diagonal blocks, +then it is lower triangular. + +If $i>0$, then we go through diagonal blocks $F_j$ for $j=1,\ldots, m_r+m_c$ +and perform: +\roster +\item if $F_j=(f_{\bar j\bar j})=(f)$ then $j$-th diagonal block of +$$ +I_{m^i}\otimes I_n + 2\alpha\iF\otimes K + +(\alpha^2+\beta^2)\iF^2\otimes K^2 +$$ +takes the form +$$ +I_{m^{i-1}}\otimes I_n +2\alpha f\imF\otimes K + +(\alpha^2+\beta^2)f^2\imF^2\otimes K^2 +$$ +and we can put $x_j = \solviip(f\alpha,f^2\beta^2,d_j,i-1)$. + +Then we need to eliminate guys below $F_j$. Note that $|f^2|<|f|$, +therefore we precalculate $y_2=(\alpha^2+\beta^2)f^2(\imF^2\otimes K^2)x_j$, +and then precalculate +$$y_1 = 2\alpha f(\imF\otimes K)x_j = d_j-x_j-y_2.$$ +Let $g_{pq}$ denote element of $F^{2T}$ at position $(q,p)$. +The elimination is done by going through $k=\bar j+1,\ldots, m$ and +putting +$$ +\align +d_k &= d_k - \left(2\alpha f_{\bar j k}\imF\otimes K + +(\alpha^2+\beta^2)g_{\bar j k}\imF^2\otimes K^2\right)x_j\\ + &= d_k - \frac{f_{\bar j k}}{f}y_1 - + \frac{g_{\bar j k}}{f^2}y_2 +\endalign +$$ + +\item if $F_j=\pmatrix\gamma&\delta_1\cr -\delta_2&\gamma\endpmatrix$, +then $j$-th diagonal block of +$$ +I_{m^i}\otimes I_n + 2\alpha\iF\otimes K + +(\alpha^2+\beta^2)\iF^2\otimes K^2 +$$ +takes the form +$$ +I_{m^{i-1}}\otimes I_n +2\alpha +\pmatrix\gamma&\delta_1\cr -\delta_2&\gamma\endpmatrix\imF\otimes K ++(\alpha^2+\beta^2) +\pmatrix\gamma&\delta_1\cr -\delta_2&\gamma\endpmatrix^2\imF^2\otimes K^2 +$$ +According to {\bf Lemma 2}, we need to calculate +$\widehat{d}_{\bar j}$, and $\widehat{d}_{\bar j+1}$, and $a_1$, +$b_1$, $a_2$, $b_2$. Then we obtain +$$ +\align +x_{\bar j}&= + \solviip(a_1,b_1^2,\solviip(a_2,b_2^2,\widehat{d}_{\bar j},i-1),i-1)\\ +x_{\bar j+1}&= + \solviip(a_1,b_1^2,\solviip(a_2,b_2^2,\widehat{d}_{\bar j+1},i-1),i-1) +\endalign +$$ + +Now we need to eliminate guys below $F_j$. Since $\Vert F^2_j\Vert < +\Vert F_j\Vert$, we precalculate +$$ +\align +y_2&=(\alpha^2+\beta^2)(\gamma^2+\delta^2) +\left(I_2\otimes\imF^2\otimes K^2\right)x_j\\ +y_1&=2\alpha(\gamma^2+\delta^2)\left(I_2\otimes\imF\otimes +K\right)x_j\\ + &=(\gamma^2+\delta^2) + \left(F_j^{-1} + \otimes I_{m^{i-1}n}\right) + \left(d_j-x_j-\frac{1}{(\gamma^2+\delta^2)} + \left( + F_j^2 + \otimes I_{m^{i-1}n}\right)y_2\right)\\ + &=\left(\pmatrix\gamma&-\delta_1\cr\delta_2&\gamma\endpmatrix + \otimes I_{m^{i-1}n}\right)(d_j-x_j) + -\left(\pmatrix\gamma&\delta_1\cr-\delta_2&\gamma\endpmatrix + \otimes I_{m^{i-1}n}\right)y_2 +\endalign +$$ +Then we go through all $k=\bar j+2,\ldots, m$. For clearer formulas, let +$\bold f_k$ denote pair of $F^T$ elements in $k$-th line below $F_j$, +this is $\bold f_k=(f_{\bar jk}\quad f_{\bar j+1k})$. And let $\bold g_k$ +denote the same for $F^{2T}$, this is $\bold g_k=(g_{\bar jk}\quad +g_{\bar j+1k})$. For each $k$ we put +$$ +\align +d_k &= d_k - \left(2\alpha\bold f_k\otimes + \imF\otimes K + + (\alpha^2+\beta^2)\bold g_k\otimes + \imF^2\otimes K^2\right)x_j\\ + &= d_k - \frac{1}{\gamma^2+\delta^2} + \left(\bold f_k\otimes + I_{m^{i-1}n}\right)y_1 + - \frac{1}{\gamma^2+\delta^2} + \left(\bold g_k\otimes + I_{m^{i-1}n}\right)y_2 +\endalign +$$ + +\endroster + +\head Final Notes\endhead + +\subhead Numerical Issues of $A^{-1}B$\endsubhead + +We began the solution of the Sylvester equation with multiplication by +$A^{-1}$. This can introduce numerical errors, and we need more +numerically stable supplement. Its aim is to make $A$ and $B$ +commutative, this is we need to find a regular matrix $P$, such that +$(PA)(PB)=(PB)(PA)$. Recall that this is neccessary in solution of +$$ +(I_2\otimes I_{m^i}\otimes (PA)+(D+C)\otimes\,\iF\otimes (PB))x=d, +$$ +since this equation is +multiplied by $I_2\otimes I_{m^i}\otimes (PA)+(D-C)\otimes\,\iF\otimes PB$, +and the diagonal +result +$$ +I_2\otimes I_{m^i}\otimes (PAPA) + 2D\otimes\,\iF\otimes (PAPB) + +(D^2-C^2)\otimes\,\iF^2\otimes (PBPB) +$$ +is obtained only if +$(PA)(PB)=(PB)(PA)$. + +Finding regular solution of $(PA)(PB)=(PB)(PA)$ is equivalent to +finding regular solution of $APB-BPA=0$. Numerical error of the former +equation is $P$-times greater than the numerical error of the latter +equation. And the numerical error of the latter equation also grows +with the size of $P$. On the other hand, truncation error in $P$ +multiplication decreases with growing the size of $P$. By intuition, +stability analysis will show that the best choice is some orthonormal +$P$. + +Obviously, since $A$ is regular, the equation $APB-BPA=0$ has solution +of the form $P=\alpha A^{-1}$, where $\alpha\neq 0$. There is a vector +space of all solutions $P$ (including singular ones). In precise +arithmetics, its dimension is $\sum n^2_i$, where $n_i$ is number of +repetitions of $i$-th eigenvalue of $A^{-1}B$ which is similar to +$BA^{-1}$. In floating point arithmetics, without any further +knowledge about $A$, and $B$, we are only sure about dimension $n$ +which is implied by similarity of $A^{-1}B$ and $BA^{-1}$. Now we try +to find the base of the vector space of solutions. + +Let $L$ denote the following linear operator: +$$L(X)=(AXB-BXA)^T.$$ + +Let $\vec(X)$ denote a vector made by stacking all the +columns of $X$. Let $T_n$ denote $n^2\times n^2$ matrix representing +operator $\vec(X)\mapsto \vec(X^T)$. And +finally let $M$ denote $n^2\times n^2$ matrix represening the operator +$L$. It is not difficult to verify that: +$$M=T_n(B^T\otimes A - A^T\otimes B)$$ +Now we show that $M$ is skew symmetric. Recall that $T_n(X\otimes +Y)=(Y\otimes X)T_n$, we have: +$$M^T=(B^T\otimes A - A^T\otimes B)^TT_n=(B\otimes A^T - A\otimes B^T)T_n= +T_n(A^T\otimes B - B^T\otimes A) = -M$$ + +We try to solve $M\vec(X) = T_n(0) = 0$. Since $M$ is +skew symmetric, there is real orthonormal matrix $Q$, such that +$M=Q\widehat{M}Q^T$, and $\widehat{M}$ is block diagonal matrix +consisting of $2\times 2$ blocks of the form +$$\left(\matrix 0&\alpha_i\cr-\alpha_i&0\endmatrix\right),$$ +and of additional zero, if $n^2$ is odd. + +Now we solve equation $\widehat{M}y=0$, where $y=Q^T\vec(X)$. Now +there are $n$ zero rows in $\widehat{M}$ coming from similarity of +$A^{-1}B$ and $BA^{-1}$ (structural zeros). Note that the additional +zero for odd $n^2$ is already included in that number, since for odd +$n^2$ is $n^2-n$ even. Besides those, there are also zeros (esp. in +floating point arithmetics), coming from repetitive (or close) +eigenvalues of $A^{-1}B$. If we are able to select the rows with the +structural zeros, a solution is obtained by picking arbitrary numbers +for the same positions in $y$, and put $\vec(X)=Qy$. + +The following questions need to be answered: +\roster +\item How to recognize the structural rows? +\item Is $A^{-1}$ generated by a $y$, which has non-zero elements only +on structural rows? Note that $A$ can have repetitive eigenvalues. The +positive answer to the question implies that in each $n$-partition of +$y$ there is exactly one structural row. +\item And very difficult one: How to pick $y$ so that $X$ would be +regular, or even close to orthonormal (pure orthonormality +overdeterminates $y$)? +\endroster + +\subhead Making Zeros in $F$\endsubhead + +It is clear that the numerical complexity of the proposed algorithm +strongly depends on a number of non-zero elements in the Schur factor +$F$. If we were able to find $P$, such that $PFP^{-1}$ has +substantially less zeros than $F$, then the computation would be +substantially faster. However, it seems that we have to pay price for +any additional zero in terms of less numerical stability of $PFP^{-1}$ +multiplication. Consider $P$, and $F$ in form +$$P=\pmatrix I &X\cr 0&I\endpmatrix, +\qquad F=\pmatrix A&C\cr 0&B\endpmatrix$$ +we obtain +$$PFP^{-1}=\pmatrix A& C + XB - AX\cr 0&B \endpmatrix$$ + +Thus, we need to solve $C = AX - XB$. Its clear that numerical +stability of operator $Y\mapsto PYP^{-1}$ and its inverse $Y\mapsto +P^{-1}YP$ is worse with growing norm $\Vert X\Vert$. The norm can be +as large as $\Vert F\Vert/\delta$, where $\delta$ is a distance of +eigenspectra of $A$ and $B$. Also, a numerical error of the solution is +proportional to $\Vert C\Vert/\delta$. + +Although, these difficulties cannot be overcome completely, we may +introduce an algorithm, which works on $F$ with ordered eigenvalues on +diagonal, and seeks such partitioning to maximize $\delta$ and +minimize $C$. If the partitioning is found, the algorithm finds $P$ +and then is run for $A$ and $B$ blocks. It stops when further +partitioning is not possible without breaking some user given limit +for numerical errors. We have to keep in mind that the numerical +errors are accumulated in product of all $P$'s of every step. + +\subhead Exploiting constant rows in $F$\endsubhead + +If some of $F$'s rows consists of the same numbers, or a number of +distict values within a row is small, then this structure can be +easily exploited in the algorithm. Recall, that in both functions +$\solvi$, and $\solviip$, we eliminate guys below diagonal element (or +block) (of $F^T$), by multiplying solution of the diagonal and +cancelling it from right side. If the elements below the diagonal +block are the same, we save one vector multiplication. Note that in +$\solviip$ we still need to multiply by elements below diagonal of the +matrix $F^{T2}$, which obviously has not the property. However, the +heaviest elimination is done at the very top level, in the first call +to $\solvi$. + +Another way of exploitation the property is to proceed all +calculations in complex numbers. In that case, only $\solvi$ is run. + +How the structure can be introduced into the matrix? Following the +same notation as in previous section, we solve $C = AX - XB$ in order +to obtain zeros at place of $C$. If it is not possible, we may relax +the equation by solving $C - R = AX - XB$, where $R$ is suitable +matrix with constant rows. The matrix $R$ minimizes $\Vert C-R\Vert$ +in order to minimize $\Vert X\Vert$ if $A$, and $B$ are given. Now, in +the next step we need to introduce zeros (or constant rows) to matrix +$A$, so we seek for regular matrix $P$, doing the +job. If found, the product looks like: +$$\pmatrix P&0\cr 0&I\endpmatrix\pmatrix A&R\cr 0&B\endpmatrix +\pmatrix P^{-1}&0\cr 0&I\endpmatrix= +\pmatrix PAP^{-1}&PR\cr 0&B\endpmatrix$$ +Now note, that matrix $PR$ has also constant rows. Thus, +preconditioning of the matrix in upper left corner doesn't affect the +property. However, a preconditioning of the matrix in lower right +corner breaks the property, since we would obtain $RP^{-1}$. + + +\enddocument diff --git a/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.cpp b/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.cpp new file mode 100644 index 000000000..b3c699da9 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.cpp @@ -0,0 +1,71 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/testing/MMMatrix.cpp,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#include "MMMatrix.h" + +#include +#include + +MMMatrixIn::MMMatrixIn(const char* fname) +{ + FILE* fd; + if (NULL==(fd = fopen(fname,"r"))) + throw MMException(string("Cannot open file ")+fname+" for reading\n"); + + char buffer[1000]; + // jump over initial comments + while (fgets(buffer, 1000, fd) && strncmp(buffer, "%%", 2)) {} + // read in number of rows and cols + if (!fgets(buffer, 1000, fd)) + throw MMException(string("Cannot read rows and cols while reading ")+fname+"\n"); + if (2 != sscanf(buffer, "%d %d", &rows, &cols)) + throw MMException("Couldn't parse rows and cols\n"); + // read in data + data = (double*) operator new[](rows*cols*sizeof(double)); + int len = rows*cols; + int i = 0; + while (fgets(buffer, 1000, fd) && i < len) { + if (1 != sscanf(buffer, "%lf", &data[i])) + throw MMException(string("Couldn't parse float number ")+buffer+"\n"); + i++; + } + if (i < len) { + char mes[1000]; + sprintf(mes,"Couldn't read all %d lines, read %d so far\n",len,i); + throw MMException(mes); + } + fclose(fd); +} + +MMMatrixIn::~MMMatrixIn() +{ + operator delete [](data); +} + + +void MMMatrixOut::write(const char* fname, int rows, int cols, const double* data) +{ + FILE* fd; + if (NULL==(fd = fopen(fname,"w"))) + throw MMException(string("Cannot open file ")+fname+" for writing\n"); + + if (0 > fprintf(fd, "%%%%MatrixMarket matrix array real general\n")) + throw MMException(string("Output error when writing file ")+fname); + if (0 > fprintf(fd, "%d %d\n", rows, cols)) + throw MMException(string("Output error when writing file ")+fname); + int running = 0; + for (int i = 0; i < cols; i++) { + for (int j = 0 ; j < rows; j++) { + if (0 > fprintf(fd, "%40.35g\n", data[running])) + throw MMException(string("Output error when writing file ")+fname); + running++; + } + } + fclose(fd); +} + +void MMMatrixOut::write(const char* fname, const GeneralMatrix& m) +{ + write(fname, m.numRows(), m.numCols(), m.base()); +} diff --git a/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.h b/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.h new file mode 100644 index 000000000..e30842caf --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/testing/MMMatrix.h @@ -0,0 +1,46 @@ +/* $Header: /var/lib/cvs/dynare_cpp/sylv/testing/MMMatrix.h,v 1.1.1.1 2004/06/04 13:01:13 kamenik Exp $ */ + +/* Tag $Name: $ */ + +#ifndef MM_MATRIX_H +#define MM_MATRIX_H + +#include "GeneralMatrix.h" +#include "SylvMemory.h" + +#include + +using namespace std; + +class MMException : public MallocAllocator { + string message; +public: + MMException(string mes) : message(mes) {} + MMException(const char* mes) : message(mes) {} + const char* getMessage() const {return message.data();} +}; + +class MMMatrixIn : public MallocAllocator { + double* data; + int rows; + int cols; +public: + MMMatrixIn(const char* fname); + ~MMMatrixIn(); + const double* getData() const {return data;} + int size() const {return rows*cols;} + int row() const {return rows;} + int col() const {return cols;} +}; + +class MMMatrixOut : public MallocAllocator { +public: + static void write(const char* fname, int rows, int cols, const double* data); + static void write(const char* fname, const GeneralMatrix& m); +}; + +#endif /* MM_MATRIX_H */ + +// Local Variables: +// mode:C++ +// End: diff --git a/mex/sources/korderpert/Dyn_pp/sylv/testing/Makefile b/mex/sources/korderpert/Dyn_pp/sylv/testing/Makefile new file mode 100644 index 000000000..924cb3ee8 --- /dev/null +++ b/mex/sources/korderpert/Dyn_pp/sylv/testing/Makefile @@ -0,0 +1,36 @@ +# $Header: /var/lib/cvs/dynare_cpp/sylv/testing/Makefile,v 1.2 2004/09/28 16:16:43 kamenik Exp $ + +# Tag $Name: $ + +LD_LIBS := -llapack -lcblas -lf77blas -latlas -lg2c +CC_FLAGS := -Wall -I../cc $(CC_INCLUDE_PATH) +CC_DEFS := #-DUSE_MEMORY_POOL +ifeq ($(DEBUG),yes) + CC_FLAGS := $(CC_FLAGS) -g + CC_DEFS := $(CC_DEFS) -DDEBUG +else + CC_FLAGS := $(CC_FLAGS) -O2 +endif + +objects := $(patsubst %.cpp,%.o,$(wildcard ../cc/*.cpp)) +headers := $(wildcard ../cc/*.h) + +clear: + make -C ../cc clear + rm -f tests.exe + rm -f tests + rm -f *.o + +../cc/%.o : ../cc/%.cpp $(headers) + make EXTERN_DEFS="$(CC_DEFS)" -C ../cc $*.o + +%.o : %.cpp $(headers) + $(CC) $(CC_FLAGS) $(CC_DEFS) -c $*.cpp + +# untar testing data +tdata.done : tdata.tgz + tar -xzf tdata.tgz + touch tdata.done + +test: $(objects) tests.o MMMatrix.o tdata.done + $(CC) $(CC_FLAGS) -o test $(objects) tests.o MMMatrix.o $(LD_LIBS) diff --git a/mex/sources/korderpert/Dyn_pp/sylv/testing/tdata.tgz b/mex/sources/korderpert/Dyn_pp/sylv/testing/tdata.tgz new file mode 100644 index 0000000000000000000000000000000000000000..e659354f2d439d5dbe9064724793d8715e91ed45 GIT binary patch literal 8545546 zcmV(`K-0e;iwFR7bf-T61MJ<~u5Iga9cEtZDfW#oxzW#uhwwwt0$~WU6o6I&=Iv8o ztLk$n0SqgMMLEHy4O?1VYtAux{|{BI+Tl;z^4D$o^`HLf5C3-mS=ME_j^htY{pY^E z|NqSYzbxy0Uh5y0``)+n-nQeazrUWx_J?1Vf5Xr8^Pm6qzy8ag{_@K&fB0Yi@lXHs z=YRf(fBbL#y}$q8{_Ef3#G09pVbSy*X>xZ zrC!{*Tz~h+<=16<*7}>r{cP90ulwaM)*mj&miP1* z&-Z+fb>Elky0&#&^PA6exoc^xcde9T$!|Wk`#rYxeXf03wmZLhKdxdwchNz3MM5=l163t#2*F<9+Yr+2%tZ>v0_CvOe|u>l^L) zEL$zxXL+~xSn3x&e%`gd$9_HAxz&ezm(`!G$5|ivxwrZa@A~9>)E}Jnk>B&IwSR8; 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