FENV(3)

NAME
feclearexcept, fegetexceptflag, feraiseexcept, fesetexceptflag, fetestexcept, fegetround, fesetround, fegetenv, feholdexcept, fesetenv, feupdateenv, feenableexcept, fedisableexcept, fegetexcept - floating-point environment control

LIBRARY
libm

SYNOPSIS
#include <fenv.h>
#pragma STDC FENV_ACCESS ON
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 round);
int
fegetenv(fenv_t *envp);
int
feholdexcept(fenv_t *envp);
int
fesetenv(const fenv_t *envp);
int
feupdateenv(const fenv_t *envp);
int
feenableexcept(int excepts);
int
fedisableexcept(int excepts);
int
fegetexcept(void);

DESCRIPTION
The <fenv.h> routines manipulate the floating-point environment, which includes the exception flags and rounding modes defined in ieee754.

  Exceptions
Exception flags are set as side-effects of floating-point arithmetic operations and math library routines, and they remain set until explicitly cleared. The following macros expand to bit flags of type int representing the five standard floating-point exceptions.

FE_DIVBYZERO
    A divide-by-zero exception occurs when the program attempts to divide a finite non-zero number by zero.

FE_INEXACT
    An inexact exception is raised whenever there is a loss of precision due to rounding.

FE_INVALID
    Invalid operation exceptions occur when a program attempts to perform calculations for which there is no reasonable representable answer. For instance, subtraction of infinities, division of zero by zero, ordered comparison involving s, and taking the square root of a negative number are all invalid operations.

FE_OVERFLOW
    An overflow exception occurs when the magnitude of the result of a computation is too large to fit in the destination type.

FE_UNDERFLOW
    Underflow occurs when the result of a computation is too close to zero to be represented as a non-zero value in the destination type.

Additionally, the FE_ALL_EXCEPT macro expands to the bitwise OR of the above flags and any architecture-specific flags. Combinations of these flags are passed to the feclearexcept(), fegetexceptflag(), feraiseexcept(), fesetexceptflag(), and fetestexcept() functions to clear, save, raise, restore, and examine the processor's floating-point exception flags, respectively.

Exceptions may be unmasked with feenableexcept() and masked with fedisableexcept(). Unmasked exceptions cause a trap when they are produced, and all exceptions are masked by default. The current mask can be tested with fegetexcept().

  Rounding Modes
ieee754 specifies four rounding modes. These modes control the direction in which results are rounded from their exact values in order to fit them into binary floating-point variables. The four modes correspond with the following symbolic constants.

FE_TONEAREST
    Results are rounded to the closest representable value. If the exact result is exactly half way between two representable values, the value whose last binary digit is even (zero) is chosen. This is the default mode.

FE_DOWNWARD
    Results are rounded towards negative .

FE_UPWARD
    Results are rounded towards positive .

FE_TOWARDZERO
    Results are rounded towards zero.

The fegetround() and fesetround() functions query and set the rounding mode.

  Environment Control
The fegetenv() and fesetenv() functions save and restore the floating-point environment, which includes exception flags, the current exception mask, the rounding mode, and possibly other implementation-specific state. The feholdexcept() function behaves like fegetenv(), but with the additional effect of clearing the exception flags and installing a non-stop mode. In non-stop mode, floating-point operations will set exception flags as usual, but no SIGFPE signals will be generated as a result. Non-stop mode is the default, but it may be altered by non-standard mechanisms. The feupdateenv() function restores a saved environment similarly to fesetenv(), but it also re-raises any floating-point exceptions from the old environment.

The macro FE_DFL_ENV expands to a pointer to the default environment.

CAVEATS
The FENV_ACCESS pragma can be enabled with
    #pragma STDC FENV_ACCESS ON
and disabled with the
    #pragma STDC FENV_ACCESS OFF
directive. This lexically-scoped annotation tells the compiler that the program may access the floating-point environment, so optimizations that would violate strict IEEE-754 semantics are disabled. If execution reaches a block of code for which FENV_ACCESS is off, the floating-point environment will become undefined.

EXAMPLES
The following routine computes the square root function. It explicitly raises an invalid exception on appropriate inputs using feraiseexcept(). It also defers inexact exceptions while it computes intermediate values, and then it allows an inexact exception to be raised only if the final answer is inexact.

    #pragma STDC FENV_ACCESS ON
    double sqrt(double n) {
    	double x = 1.0;
    	fenv_t env;
    	if (isnan(n) || n < 0.0) {
    		feraiseexcept(FE_INVALID);
    		return (NAN);
    	}
    	if (isinf(n) || n == 0.0)
    		return (n);
    	feholdexcept(&env);
    	while (fabs((x * x) - n) > DBL_EPSILON * 2 * x)
    		x = (x / 2) + (n / (2 * x));
    	if (x * x == n)
    		feclearexcept(FE_INEXACT);
    	feupdateenv(&env);
    	return (x);
    }

SEE ALSO
cc(1), feclearexcept(3), fedisableexcept(3), feenableexcept(3), fegetenv(3), fegetexcept(3), fegetexceptflag(3), fegetround(3), feholdexcept(3), feraiseexcept(3), fesetenv(3), fesetexceptflag(3), fesetround(3), fetestexcept(3), feupdateenv(3), fpgetprec(3), fpsetprec(3)

STANDARDS
Except as noted below, <fenv.h> conforms to isoC-99. The feenableexcept(), fedisableexcept(), and fegetexcept() routines are extensions.

HISTORY
The <fenv.h> header first appeared in FreeBSD 5.3. It supersedes the non-standard routines defined in <ieeefp.h> and documented in fpgetround(3).

BUGS
The FENV_ACCESS pragma is unimplemented in the system compiler. However, non-constant expressions generally produce the correct side-effects at low optimization levels.

On the Alpha platform, cc(1) must be passed the -mieee-with-inexact -mfp-rounding-mode=d options in order to generate code that has the standard side-effects and uses the specified rounding modes.