FMA(3)

NAME
fma, fmaf, fmal - floating-point multiply and add

SYNOPSIS
#include <math.h>

double fma(double x, double y, double z);
float fmaf(float x, float y, float z);
long double fmal(long double x, long double y, long double z);

Link with -lm.

Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

fma(), fmaf(), fmal():
    _ISOC99_SOURCE || _POSIX_C_SOURCE >= 200112L

DESCRIPTION
These functions compute x * y + z. The result is rounded as one ternary operation according to the current rounding mode (see fenv(3)).

RETURN VALUE
These functions return the value of x * y + z, rounded as one ternary operation. If x or y is a NaN, a NaN is returned. If x times y is an exact infinity, and z is an infinity with the opposite sign, a domain error occurs, and a NaN is returned. If one of x or y is an infinity, the other is 0, and z is not a NaN, a domain error occurs, and a NaN is returned. If one of x or y is an infinity, and the other is 0, and z is a NaN, a domain error occurs, and a NaN is returned. If x times y is not an infinity times zero (or vice versa), and z is a NaN, a NaN is returned. If the result overflows, a range error occurs, and an infinity with the correct sign is returned. If the result underflows, a range error occurs, and a signed 0 is returned.

ERRORS
See math_error(7) for information on how to determine whether an error has occurred when calling these functions.

The following errors can occur:

Domain error: x * y + z, or x * y is invalid and z is not a NaN
    An invalid floating-point exception (FE_INVALID) is raised.

Range error: result overflow
    An overflow floating-point exception (FE_OVERFLOW) is raised.

Range error: result underflow
    An underflow floating-point exception (FE_UNDERFLOW) is raised.

These functions do not set errno.

VERSIONS
These functions first appeared in glibc in version 2.1.

ATTRIBUTES
For an explanation of the terms used in this section, see attributes(7).
Interface | Attribute | Value
 | Thread safety | MT-Safe

CONFORMING TO
C99, POSIX.1-2001, POSIX.1-2008.

SEE ALSO
remainder(3), remquo(3)

COLOPHON
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