fenv(3)                                               Library Functions Manual                                              fenv(3)

NAME
       feclearexcept,  fegetexceptflag,  feraiseexcept,  fesetexceptflag,  fetestexcept,  fegetenv,  fegetround, feholdexcept, fes‐
       etround, fesetenv, feupdateenv, feenableexcept, fedisableexcept, fegetexcept - floating-point rounding  and  exception  han‐
       dling

LIBRARY
       Math library (libm, -lm)

SYNOPSIS
       #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);

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

   Exceptions
       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 denor‐
       malized 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 imple‐
       mentation-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).

       Each  of  the macros FE_DIVBYZERO, FE_INEXACT, FE_INVALID, FE_OVERFLOW, FE_UNDERFLOW is defined when the implementation sup‐
       ports handling of the corresponding exception, and if so then defines the corresponding bit(s), so that one can call  excep‐
       tion  handling  functions,  for  example, using the integer argument FE_OVERFLOW|FE_UNDERFLOW.  Other exceptions may be sup‐
       ported.  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  ex‐
       cepts in the opaque object *flagp.

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

       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  ex‐
       cepts.

       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 repre‐
       sented  in  the significand.  Various rounding modes may be provided: round to nearest (the default), round up (toward posi‐
       tive 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  get‐
       ting 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  excep‐
       tions) 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 previ‐
       ously set with those in *envp.  As before, the object *envp must be known to be valid.

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

VERSIONS
       These functions were added in glibc 2.1.

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

       ┌─────────────────────────────────────────────────────────────────────────────────────────────────┬───────────────┬─────────┐
       │Interface                                                                                        │ Attribute     │ Value   │
       ├─────────────────────────────────────────────────────────────────────────────────────────────────┼───────────────┼─────────┤
       │feclearexcept(), fegetexceptflag(), feraiseexcept(), fesetexceptflag(), fetestexcept(),          │ Thread safety │ MT-Safe │
       │fegetround(), fesetround(), fegetenv(), feholdexcept(), fesetenv(), feupdateenv(),               │               │         │
       │feenableexcept(), fedisableexcept(), fegetexcept()                                               │               │         │
       └─────────────────────────────────────────────────────────────────────────────────────────────────┴───────────────┴─────────┘

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

NOTES
   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 glibc 2.2, glibc supports the functions feenableexcept() and fedisableexcept() to set individual floating-point traps,
       and fegetexcept() to query the state.

       #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  ex‐
       cepts  and  return the previous set of enabled exceptions when successful, and -1 otherwise.  The fegetexcept() function re‐
       turns the set of all currently enabled exceptions.

BUGS
       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.

SEE ALSO
       math_error(7)

Linux man-pages 6.03                                         2023-02-05                                                     fenv(3)