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-.\" Copyright (c) 2005 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/fma.3,v 1.3 2005/11/24 09:25:10 joel Exp $
-.\"
-.Dd January 22, 2005
-.Dt FMA 3
-.Os
-.Sh NAME
-.Nm fma ,
-.Nm fmaf ,
-.Nm fmal
-.Nd fused multiply-add
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In math.h
-.Ft double
-.Fn fma "double x" "double y" "double z"
-.Ft float
-.Fn fmaf "float x" "float y" "float z"
-.Ft long double
-.Fn fmal "long double x" "long double y" "long double z"
-.Sh DESCRIPTION
-The
-.Fn fma ,
-.Fn fmaf ,
-and
-.Fn fmal
-functions return
-.No "(x * y) + z" ,
-computed with only one rounding error.
-Using the ordinary multiplication and addition operators, by contrast,
-results in two roundings: one for the intermediate product and one for
-the final result.
-.Pp
-For instance, the expression
-.No "1.2e100 * 2.0e208 - 1.4e308"
-produces \*(If due to overflow in the intermediate product, whereas
-.No "fma(1.2e100, 2.0e208, -1.4e308)"
-returns approximately 1.0e308.
-.Pp
-The fused multiply-add operation is often used to improve the
-accuracy of calculations such as dot products.
-It may also be used to improve performance on machines that implement
-it natively.
-The macros
-.Dv FP_FAST_FMA ,
-.Dv FP_FAST_FMAF
-and
-.Dv FP_FAST_FMAL
-may be defined in
-.In math.h
-to indicate that
-.Fn fma ,
-.Fn fmaf ,
-and
-.Fn fmal
-(respectively) have comparable or faster speed than a multiply
-operation followed by an add operation.
-.Sh IMPLEMENTATION NOTES
-In general, these routines will behave as one would expect if
-.No "x * y + z"
-were computed with unbounded precision and range,
-then rounded to the precision of the return type.
-However, on some platforms, if
-.Fa z
-is \*(Na, these functions may not raise an exception even
-when the computation of
-.No "x * y"
-would have otherwise generated an invalid exception.
-.Sh SEE ALSO
-.Xr fenv 3 ,
-.Xr math 3
-.Sh STANDARDS
-The
-.Fn fma ,
-.Fn fmaf ,
-and
-.Fn fmal
-functions conform to
-.St -isoC-99 .
-A fused multiply-add operation with virtually identical
-characteristics appears in IEEE draft standard 754R.
-.Sh HISTORY
-The
-.Fn fma
-and
-.Fn fmaf
-routines first appeared in
-.Fx 5.4 ,
-and
-.Fn fmal
-appeared in
-.Fx 6.0 .