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       feclearexcept,  fegetexceptflag,  feraiseexcept,  fesetexceptflag, fetestexcept, fegetenv,
       fegetround,   feholdexcept,    fesetround,    fesetenv,    feupdateenv,    feenableexcept,
       fedisableexcept, fegetexcept - floating-point rounding and exception handling


       #include <fenv.h>

       int feclearexcept(int excepts);
       int fegetexceptflag(fexcept_t *flagp, int excepts);
       int feraiseexcept(int excepts);
       int fesetexceptflag(const fexcept_t *flagp, int excepts);
       int fetestexcept(int excepts);

       int fegetround(void);
       int fesetround(int rounding_mode);

       int fegetenv(fenv_t *envp);
       int feholdexcept(fenv_t *envp);
       int fesetenv(const fenv_t *envp);
       int feupdateenv(const fenv_t *envp);

       Link with -lm.


       These  eleven  functions  were defined in C99, and describe the handling of floating-point
       rounding and exceptions (overflow, zero-divide, etc.).

       The divide-by-zero exception occurs when an operation on finite numbers produces  infinity
       as exact answer.

       The  overflow  exception  occurs  when  a result has to be represented as a floating-point
       number, but has (much) larger absolute value  than  the  largest  (finite)  floating-point
       number that is representable.

       The  underflow  exception  occurs  when a result has to be represented as a floating-point
       number, but has smaller absolute value than the  smallest  positive  normalized  floating-
       point number (and would lose much accuracy when represented as a denormalized number).

       The  inexact  exception occurs when the rounded result of an operation is not equal to the
       infinite precision result.  It may occur whenever overflow or underflow occurs.

       The invalid exception occurs when there is no well-defined result for an operation, as for
       0/0 or infinity - infinity or sqrt(-1).

   Exception handling
       Exceptions  are  represented  in two ways: as a single bit (exception present/absent), and
       these bits correspond in some implementation-defined way with bit positions in an integer,
       and  also  as  an  opaque  structure that may contain more information about the exception
       (perhaps the code address where it occurred).

       defined  when  the implementation supports handling of the corresponding exception, and if
       so then defines the  corresponding  bit(s),  so  that  one  can  call  exception  handling
       functions,  for  example,  using  the  integer  argument  FE_OVERFLOW|FE_UNDERFLOW.  Other
       exceptions may be supported.  The macro FE_ALL_EXCEPT  is  the  bitwise  OR  of  all  bits
       corresponding to supported exceptions.

       The  feclearexcept()  function  clears the supported exceptions represented by the bits in
       its argument.

       The fegetexceptflag() function stores a representation of the state of the exception flags
       represented by the argument excepts in the opaque object *flagp.

       The  feraiseexcept()  function  raises the supported exceptions represented by the bits in

       The fesetexceptflag() function sets the complete status for the exceptions represented  by
       excepts  to  the  value  *flagp.  This value must have been obtained by an earlier call of
       fegetexceptflag() with a last argument that contained all bits in excepts.

       The fetestexcept() function returns a word in which the bits are set that were set in  the
       argument excepts and for which the corresponding exception is currently set.

   Rounding mode
       The  rounding  mode determines how the result of floating-point operations is treated when
       the result cannot be exactly represented in the significand.  Various rounding  modes  may
       be  provided:  round  to nearest (the default), round up (toward positive infinity), round
       down (toward negative infinity), and round toward zero.

       Each of the macros FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, and FE_TOWARDZERO is defined when
       the implementation supports getting and setting the corresponding rounding direction.

       The fegetround() function returns the macro corresponding to the current rounding mode.

       The  fesetround() function sets the rounding mode as specified by its argument and returns
       zero when it was successful.

       C99 and POSIX.1-2008 specify  an  identifier,  FLT_ROUNDS,  defined  in  <float.h>,  which
       indicates  the implementation-defined rounding behavior for floating-point addition.  This
       identifier has one of the following values:

       -1     The rounding mode is not determinable.

       0      Rounding is toward 0.

       1      Rounding is toward nearest number.

       2      Rounding is toward positive infinity.

       3      Rounding is toward negative infinity.

       Other values represent machine-dependent, nonstandard rounding modes.

       The value of FLT_ROUNDS should reflect the current rounding mode as  set  by  fesetround()
       (but see BUGS).

   Floating-point environment
       The  entire  floating-point  environment, including control modes and status flags, can be
       handled as one opaque object, of type fenv_t.   The  default  environment  is  denoted  by
       FE_DFL_ENV  (of  type const fenv_t *).  This is the environment setup at program start and
       it is defined by ISO C to have round to nearest, all  exceptions  cleared  and  a  nonstop
       (continue on exceptions) mode.

       The fegetenv() function saves the current floating-point environment in the object *envp.

       The  feholdexcept()  function  does  the same, then clears all exception flags, and sets a
       nonstop (continue on exceptions) mode, if available.  It returns zero when successful.

       The fesetenv() function restores the floating-point environment  from  the  object  *envp.
       This  object must be known to be valid, for example, the result of a call to fegetenv() or
       feholdexcept() or equal to FE_DFL_ENV.  This call does not raise exceptions.

       The feupdateenv() function installs the  floating-point  environment  represented  by  the
       object *envp, except that currently raised exceptions are not cleared.  After calling this
       function, the raised exceptions will be a bitwise OR of those previously set with those in
       *envp.  As before, the object *envp must be known to be valid.


       These functions return zero on success and nonzero if an error occurred.


       These functions first appeared in glibc in version 2.1.


       For an explanation of the terms used in this section, see attributes(7).

       │InterfaceAttributeValue   │
       │feclearexcept(), fegetexceptflag(), │ Thread safety │ MT-Safe │
       │feraiseexcept(), fesetexceptflag(), │               │         │
       │fetestexcept(), fegetround(),       │               │         │
       │fesetround(), fegetenv(),           │               │         │
       │feholdexcept(), fesetenv(),         │               │         │
       │feupdateenv(), feenableexcept(),    │               │         │
       │fedisableexcept(), fegetexcept()    │               │         │


       IEC 60559 (IEC 559:1989), ANSI/IEEE 854, C99, POSIX.1-2001.


   Glibc notes
       If  possible,  the  GNU  C  Library  defines  a  macro  FE_NOMASK_ENV  which represents an
       environment where every exception raised causes a trap to occur.  You can  test  for  this
       macro  using #ifdef.  It is defined only if _GNU_SOURCE is defined.  The C99 standard does
       not define a way to set individual bits in the floating-point mask, for example,  to  trap
       on  specific  flags.  Since version 2.2, glibc supports the functions feenableexcept() and
       fedisableexcept() to set individual floating-point traps, and fegetexcept() to  query  the

       #define _GNU_SOURCE         /* See feature_test_macros(7) */
       #include <fenv.h>

       int feenableexcept(int excepts);
       int fedisableexcept(int excepts);
       int fegetexcept(void);

       The  feenableexcept()  and  fedisableexcept() functions enable (disable) traps for each of
       the exceptions represented by excepts and return the previous set  of  enabled  exceptions
       when  successful,  and  -1  otherwise.   The fegetexcept() function returns the set of all
       currently enabled exceptions.


       C99 specifies that the value of FLT_ROUNDS should reflect changes to the current  rounding
       mode,  as  set by fesetround().  Currently, this does not occur: FLT_ROUNDS always has the
       value 1.




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