err.texi

该文件为c++的数学函数库!是一个非常有用的编程工具.它含有各种数学函数,为科学计算、工程应用等程序编写提供方便！

@cindex error handling
This chapter describes the way that GSL functions report and handle
errors.  By examining the status information returned by every function
you can determine whether it succeeded or failed, and if it failed you
can find out what the precise cause of failure was.  You can also define
your own error handling functions to modify the default behavior of the
library.

The functions described in this section are declared in the header file
@file{gsl_errno.h}.

@menu
* Error Reporting::             
* Error Codes::                 
* Error Handlers::              
* Using GSL error reporting in your own functions::  
* Error Reporting Examples::    
@end menu

@node Error Reporting
@section Error Reporting

The library follows the thread-safe error reporting conventions of the
@sc{posix} Threads library.  Functions return a non-zero error code to
indicate an error and @code{0} to indicate success.

@example
int status = gsl_function (...)

if (status) @{ /* an error occurred */
  .....       
  /* status value specifies the type of error */
@}
@end example

The routines report an error whenever they cannot perform the task
requested of them.  For example, a root-finding function would return a
non-zero error code if could not converge to the requested accuracy, or
exceeded a limit on the number of iterations.  Situations like this are
a normal occurrence when using any mathematical library and you should
check the return status of the functions that you call.

Whenever a routine reports an error the return value specifies the type
of error.  The return value is analogous to the value of the variable
@code{errno} in the C library.  The caller can examine the return code
and decide what action to take, including ignoring the error if it is
not considered serious.

In addition to reporting errors by return codes the library also has an
error handler function @code{gsl_error}.  This function is called by
other library functions when they report an error, just before they
return to the caller.  The default behavior of the error handler is to
print a message and abort the program,

@example
gsl: file.c:67: ERROR: invalid argument supplied by user
Default GSL error handler invoked.
Aborted
@end example

The purpose of the @code{gsl_error} handler is to provide a function
where a breakpoint can be set that will catch library errors when
running under the debugger.  It is not intended for use in production
programs, which should handle any errors using the return codes.

@node Error Codes
@section Error Codes

The error code numbers returned by library functions are defined in the
file @file{gsl_errno.h}.  They all have the prefix @code{GSL_} and
expand to non-zero constant integer values.  Many of the error codes use
the same base name as a corresponding error code in C library.  Here are
some of the most common error codes,

@cindex error codes
@deftypefn {Macro} int GSL_EDOM
Domain error; used by mathematical functions when an argument value does
not fall into the domain over which the function is defined (like
EDOM in the C library)
@end deftypefn

@deftypefn {Macro} int GSL_ERANGE
Range error; used by mathematical functions when the result value is not
representable because of overflow or underflow (like ERANGE in the C
library)
@end deftypefn

@deftypefn {Macro} int GSL_ENOMEM
No memory available.  The system cannot allocate more virtual memory
because its capacity is full (like ENOMEM in the C library).  This error
is reported when a GSL routine encounters problems when trying to
allocate memory with @code{malloc}.
@end deftypefn

@deftypefn {Macro} int GSL_EINVAL
Invalid argument.  This is used to indicate various kinds of problems
with passing the wrong argument to a library function (like EINVAL in the C
library). 
@end deftypefn

The error codes can be converted into an error message using the
function @code{gsl_strerror}.

@deftypefun {const char *} gsl_strerror (const int @var{gsl_errno})
This function returns a pointer to a string describing the error code
@var{gsl_errno}. For example,

@example
printf ("error: %s\n", gsl_strerror (status));
@end example
@noindent
would print an error message like @code{error: output range error} for a
status value of @code{GSL_ERANGE}.
@end deftypefun

@node Error Handlers
@section Error Handlers
@cindex Error handlers

The default behavior of the GSL error handler is to print a short
message and call @code{abort()}.  When this default is in use programs
will stop with a core-dump whenever a library routine reports an error.
This is intended as a fail-safe default for programs which do not check
the return status of library routines (we don't encourage you to write
programs this way).

If you turn off the default error handler it is your responsibility to
check the return values of routines and handle them yourself.  You can
also customize the error behavior by providing a new error handler. For
example, an alternative error handler could log all errors to a file,
ignore certain error conditions (such as underflows), or start the
debugger and attach it to the current process when an error occurs.

All GSL error handlers have the type @code{gsl_error_handler_t}, which is
defined in @file{gsl_errno.h},

@deftp {Data Type} gsl_error_handler_t

This is the type of GSL error handler functions.  An error handler will
be passed four arguments which specify the reason for the error (a
string), the name of the source file in which it occurred (also a
string), the line number in that file (an integer) and the error number
(an integer).  The source file and line number are set at compile time
using the @code{__FILE__} and @code{__LINE__} directives in the
preprocessor.  An error handler function returns type @code{void}.
Error handler functions should be defined like this,

@example
void handler (const char * reason, 
              const char * file, 
              int line, 
              int gsl_errno)
@end example
@end deftp
@comment 
@noindent
To request the use of your own error handler you need to call the
function @code{gsl_set_error_handler} which is also declared in
@file{gsl_errno.h},

@deftypefun {gsl_error_handler_t *} gsl_set_error_handler (gsl_error_handler_t @var{new_handler})

This function sets a new error handler, @var{new_handler}, for the GSL
library routines.  The previous handler is returned (so that you can
restore it later).  Note that the pointer to a user defined error
handler function is stored in a static variable, so there can be only
one error handler per program.  This function should be not be used in
multi-threaded programs except to set up a program-wide error handler
from a master thread.  The following example shows how to set and
restore a new error handler,

@example
/* save original handler, install new handler */
old_handler = gsl_set_error_handler (&my_handler); 

/* code uses new handler */
.....     

/* restore original handler */
gsl_set_error_handler (old_handler); 
@end example
@noindent
To use the default behavior (@code{abort} on error) set the error
handler to @code{NULL},

@example
old_handler = gsl_set_error_handler (NULL); 
@end example
@end deftypefun

@deftypefun {gsl_error_handler_t *} gsl_set_error_handler_off ()
This function turns off the error handler by defining an error handler
which does nothing. This will cause the program to continue after any
error, so the return values from any library routines must be checked.
This is the recommended behavior for production programs.  The previous
handler is returned (so that you can restore it later).
@end deftypefun

The error behavior can be changed for specific applications by
recompiling the library with a customized definition of the
@code{GSL_ERROR} macro in the file @file{gsl_errno.h}.

@node Using GSL error reporting in your own functions
@section Using GSL error reporting in your own functions
@cindex error handling macros
If you are writing numerical functions in a program which also uses GSL
code you may find it convenient to adopt the same error reporting
conventions as in the library.

To report an error you need to call the function @code{gsl_error} with a
string describing the error and then return an appropriate error code
from @code{gsl_errno.h}, or a special value, such as @code{NaN}.  For
convenience the file @file{gsl_errno.h} defines two macros which carry
out these steps:

@deffn {Macro} GSL_ERROR (@var{reason}, @var{gsl_errno})

This macro reports an error using the GSL conventions and returns a
status value of @code{gsl_errno}.  It expands to the following code fragment,

@example
gsl_error (reason, __FILE__, __LINE__, gsl_errno);
return gsl_errno;
@end example

@noindent
The macro definition in @file{gsl_errno.h} actually wraps the code
in a @code{do @{ ... @} while (0)} block to prevent possible
parsing problems.
@end deffn

Here is an example of how the macro could be used to report that a
routine did not achieve a requested tolerance.  To report the error the
routine needs to return the error code @code{GSL_ETOL}.

@example
if (residual > tolerance) 
  @{
    GSL_ERROR("residual exceeds tolerance", GSL_ETOL);
  @}
@end example

@deffn {Macro} GSL_ERROR_VAL (@var{reason}, @var{gsl_errno}, @var{value})

This macro is the same as @code{GSL_ERROR} but returns a user-defined
value of @var{value} instead of an error code.  It can be used for
mathematical functions that return a floating point value.
@end deffn

The following example shows how to return a @code{NaN} at a mathematical
singularity using the @code{GSL_ERROR_VAL} macro,

@example
if (x == 0) 
  @{
    GSL_ERROR_VAL("argument lies on singularity", 
                  GSL_ERANGE, GSL_NAN);
  @}
@end example


@node Error Reporting Examples
@section Examples

Here is an example of some code which checks the return value of a
function where an error might be reported,

@example
#include <stdio.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_fft_complex.h>

...
  int status;
  size_t n = 37;

  gsl_set_error_handler_off();

  status = gsl_fft_complex_radix2_forward (data, n);

  if (status) @{
    if (status == GSL_EINVAL) @{
       fprintf (stderr, "invalid argument, n=%d\n", n);
    @} else @{
       fprintf (stderr, "failed, gsl_errno=%d\n", 
                        status);
    @}
    exit (-1);
  @}
...
@end example
@comment 
@noindent
The function @code{gsl_fft_complex_radix2} only accepts integer lengths
which are a power of two.  If the variable @code{n} is not a power of
two then the call to the library function will return @code{GSL_EINVAL},
indicating that the length argument is invalid.  The function call to
@code{gsl_set_error_handler_off()} stops the default error handler from
aborting the program.  The @code{else} clause catches any other possible
errors.