fma(3)

NAME#

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

LIBRARY#

Math library (libm, -lm)

SYNOPSIS#

#include <math.h>

double fma(double \nx\n, double \ny\n, double \nz\n);\n
\nfloat fmaf(float \nx\n, float \ny\n, float \nz\n);\n
\nlong double fmal(long double \nx\n, long double \ny\n, long double \nz\n);

fma(), fmaf(), fmal():

\n
    _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.

ATTRIBUTES#

For an explanation of the terms used in this section, see attributes(7).

STANDARDS#

C11, POSIX.1-2008.

HISTORY#

glibc 2.1. C99, POSIX.1-2001.

SEE ALSO#

remainder(3), remquo(3)