.\" Copyright (c) 1985, 1991 The Regents of the University of California.
.\" 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.
.\" 3. All advertising materials mentioning features or use of this software
.\" must display the following acknowledgement:
.\" This product includes software developed by the University of
.\" California, Berkeley and its contributors.
.\" 4. Neither the name of the University nor the names of its contributors
.\" may be used to endorse or promote products derived from this software
.\" without specific prior written permission.
.\"
.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS 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 REGENTS 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.
.\"
.\" from: @(#)floor.3 6.5 (Berkeley) 4/19/91
.\" $Id: fma.3,v 1.4 2004/12/20 21:35:45 scp Exp $
.\"
.Dd July 24, 2003
.Dt FMA 3
.Os
.Sh NAME
.Nm fma
.Nd multiply and add, then round
.Sh SYNOPSIS
.Fd #include
.Ft double
.Fn fma "double x" "double y" "double z"
.Ft long double
.Fn fmal "long double x" "long double y" "long double z"
.Ft float
.Fn fmaf "float x" "float y" "double z"
.Sh DESCRIPTION
The
.Fn fma
functions compute (x*y)+z, rounded as one ternary operation:
they compute the value (as if) to infinite precision and round once
to the result format, according to the current rounding mode.
.Sh SPECIAL VALUES
.Fn fma "x" "y" "z"
returns a NaN and optionally raises the "invalid" floating-point
exception if one of x and y is infinite, the other is 0, and z is
a NaN.
.Pp
.Fn fma "x" "y" "z"
returns a NaN and raises the "invalid" floating-point
exception if one of x and y is infinite, the other is 0, and z is
not NaN.
.Pp
.Fn fma "x" "y" "z"
returns a NaN and raises the "invalid" floating-point
exception if x times y is an exact infinity, and z is also
an infinity but with the opposite sign.
.Sh SEE ALSO
.Xr fdim 3 ,
.Xr fmax 3 ,
.Xr fmin 3
.Sh STANDARDS
The
.Fn fma
functions conform to ISO/IEC 9899:1999(E).