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-.\" Copyright (c) 2004 David Schultz <das@FreeBSD.org>
-.\" All rights reserved.
-.\"
-.\" Redistribution and use in source and binary forms, with or without
-.\" modification, are permitted provided that the following conditions
-.\" are met:
-.\" 1. Redistributions of source code must retain the above copyright
-.\" notice, this list of conditions and the following disclaimer.
-.\" 2. Redistributions in binary form must reproduce the above copyright
-.\" notice, this list of conditions and the following disclaimer in the
-.\" documentation and/or other materials provided with the distribution.
-.\"
-.\" THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
-.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
-.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
-.\" ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
-.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
-.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
-.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
-.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
-.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
-.\" SUCH DAMAGE.
-.\"
-.\" $FreeBSD: src/lib/msun/man/fenv.3,v 1.5 2005/06/15 19:04:04 ru Exp $
-.\"
-.Dd March 16, 2005
-.Dt FENV 3
-.Os
-.Sh NAME
-.Nm feclearexcept ,
-.Nm fegetexceptflag ,
-.Nm feraiseexcept ,
-.Nm fesetexceptflag ,
-.Nm fetestexcept ,
-.Nm fegetround ,
-.Nm fesetround ,
-.Nm fegetenv ,
-.Nm feholdexcept ,
-.Nm fesetenv ,
-.Nm feupdateenv ,
-.Nm feenableexcept ,
-.Nm fedisableexcept ,
-.Nm fegetexcept
-.Nd floating-point environment control
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In fenv.h
-.Fd "#pragma STDC FENV_ACCESS ON"
-.Ft int
-.Fn feclearexcept "int excepts"
-.Ft int
-.Fn fegetexceptflag "fexcept_t *flagp" "int excepts"
-.Ft int
-.Fn feraiseexcept "int excepts"
-.Ft int
-.Fn fesetexceptflag "const fexcept_t *flagp" "int excepts"
-.Ft int
-.Fn fetestexcept "int excepts"
-.Ft int
-.Fn fegetround void
-.Ft int
-.Fn fesetround "int round"
-.Ft int
-.Fn fegetenv "fenv_t *envp"
-.Ft int
-.Fn feholdexcept "fenv_t *envp"
-.Ft int
-.Fn fesetenv "const fenv_t *envp"
-.Ft int
-.Fn feupdateenv "const fenv_t *envp"
-.Ft int
-.Fn feenableexcept "int excepts"
-.Ft int
-.Fn fedisableexcept "int excepts"
-.Ft int
-.Fn fegetexcept void
-.Sh DESCRIPTION
-The
-.In fenv.h
-routines manipulate the floating-point environment,
-which includes the exception flags and rounding modes defined in
-.St -ieee754 .
-.Ss 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
-.Vt int
-representing the five standard floating-point exceptions.
-.Bl -tag -width ".Dv FE_DIVBYZERO"
-.It Dv FE_DIVBYZERO
-A divide-by-zero exception occurs when the program attempts to
-divide a finite non-zero number by zero.
-.It Dv FE_INEXACT
-An inexact exception is raised whenever there is a loss of precision
-due to rounding.
-.It Dv 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 \*(Nas, and taking the square root of a
-negative number are all invalid operations.
-.It Dv FE_OVERFLOW
-An overflow exception occurs when the magnitude of the result of a
-computation is too large to fit in the destination type.
-.It Dv 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.
-.El
-.Pp
-Additionally, the
-.Dv 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
-.Fn feclearexcept ,
-.Fn fegetexceptflag ,
-.Fn feraiseexcept ,
-.Fn fesetexceptflag ,
-and
-.Fn fetestexcept
-functions to clear, save, raise, restore, and examine the
-processor's floating-point exception flags, respectively.
-.Pp
-Exceptions may be
-.Em unmasked
-with
-.Fn feenableexcept
-and masked with
-.Fn fedisableexcept .
-Unmasked exceptions cause a trap when they are produced, and
-all exceptions are masked by default.
-The current mask can be tested with
-.Fn fegetexcept .
-.Ss Rounding Modes
-.St -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.
-.Bl -tag -width ".Dv FE_TOWARDZERO"
-.It Dv 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.
-.It Dv FE_DOWNWARD
-Results are rounded towards negative \*[If].
-.It Dv FE_UPWARD
-Results are rounded towards positive \*[If].
-.It Dv FE_TOWARDZERO
-Results are rounded towards zero.
-.El
-.Pp
-The
-.Fn fegetround
-and
-.Fn fesetround
-functions query and set the rounding mode.
-.Ss Environment Control
-The
-.Fn fegetenv
-and
-.Fn 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
-.Fn feholdexcept
-function behaves like
-.Fn fegetenv ,
-but with the additional effect of clearing the exception flags and
-installing a
-.Em non-stop
-mode.
-In non-stop mode, floating-point operations will set exception flags
-as usual, but no
-.Dv SIGFPE
-signals will be generated as a result.
-Non-stop mode is the default, but it may be altered by
-non-standard mechanisms.
-.\" XXX Mention fe[gs]etmask() here after the interface is finalized
-.\" XXX and ready to be officially documented.
-The
-.Fn feupdateenv
-function restores a saved environment similarly to
-.Fn fesetenv ,
-but it also re-raises any floating-point exceptions from the old
-environment.
-.Pp
-The macro
-.Dv FE_DFL_ENV
-expands to a pointer to the default environment.
-.Sh CAVEATS
-The FENV_ACCESS pragma can be enabled with
-.Dl "#pragma STDC FENV_ACCESS ON"
-and disabled with the
-.Dl "#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
-.Dv FENV_ACCESS
-is off, the floating-point environment will become undefined.
-.Sh EXAMPLES
-The following routine computes the square root function.
-It explicitly raises an invalid exception on appropriate inputs using
-.Fn 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.
-.Bd -literal -offset indent
-#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);
-}
-.Ed
-.Sh SEE ALSO
-.Xr cc 1 ,
-.Xr feclearexcept 3 ,
-.Xr fedisableexcept 3 ,
-.Xr feenableexcept 3 ,
-.Xr fegetenv 3 ,
-.Xr fegetexcept 3 ,
-.Xr fegetexceptflag 3 ,
-.Xr fegetround 3 ,
-.Xr feholdexcept 3 ,
-.Xr feraiseexcept 3 ,
-.Xr fesetenv 3 ,
-.Xr fesetexceptflag 3 ,
-.Xr fesetround 3 ,
-.Xr fetestexcept 3 ,
-.Xr feupdateenv 3 ,
-.Xr fpgetprec 3 ,
-.Xr fpsetprec 3
-.Sh STANDARDS
-Except as noted below,
-.In fenv.h
-conforms to
-.St -isoC-99 .
-The
-.Fn feenableexcept ,
-.Fn fedisableexcept ,
-and
-.Fn fegetexcept
-routines are extensions.
-.Sh HISTORY
-The
-.In fenv.h
-header first appeared in
-.Fx 5.3 .
-It supersedes the non-standard routines defined in
-.In ieeefp.h
-and documented in
-.Xr fpgetround 3 .
-.Sh BUGS
-The
-.Dv FENV_ACCESS
-pragma is unimplemented in the system compiler.
-However, non-constant expressions generally produce the correct
-side-effects at low optimization levels.
-.Pp
-On the Alpha platform,
-.Xr cc 1
-must be passed the
-.Fl 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.