FMA(3) Linux Programmer s Manual 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(): _XOPEN_SOURCE >= 600 || _ISOC99_SOURCE; or cc -std=c99

DESCRIPTION The fma() function computes 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 oppo- site 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.

CONFORMING TO C99, POSIX.1-2001.